4740 lines
2.4 MiB
4740 lines
2.4 MiB
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 57,
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"id": "a20b8991-06b8-4686-b296-aeb0d177125b",
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"metadata": {},
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"outputs": [],
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"source": [
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"import scipy\n",
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"import numpy as np\n",
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"import re\n",
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"import math\n",
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"import sys\n",
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"from collections import defaultdict, Counter\n",
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"import json\n",
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"import datetime\n",
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"import itertools\n",
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"import warnings\n",
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"import statistics\n",
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"from pathlib import Path\n",
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"import zipfile\n",
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"from scipy import interpolate\n",
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"from matplotlib import pyplot as plt\n",
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"%matplotlib inline"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 58,
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"id": "32a509a0-ff60-4744-b0a6-7077c4a15bec",
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"metadata": {},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"/tmp/ipykernel_162994/2846935186.py:45: UserWarning: Unknown pitch for 'cal-open'\n",
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" warnings.warn(f'Unknown pitch for {meta!r}')\n",
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"/tmp/ipykernel_162994/2846935186.py:45: UserWarning: Unknown pitch for 'baseline-5-open'\n",
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" warnings.warn(f'Unknown pitch for {meta!r}')\n"
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]
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}
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],
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"source": [
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"def notebook_path_on_disk():\n",
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" return Path(json.loads(Path(sys.argv[-1]).read_bytes())['jupyter_session'])\n",
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"\n",
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"modification_data = {\n",
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" 'short_across_traces': [31, 32, 33, 34, 35, 41, 42, 43, 44, 45],\n",
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" 'short_within_trace': [26, 27, 28, 29, 30, 46, 47, 48, 49, 50],\n",
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" 'open': [21, 22, 23, 24, 25, 36, 37, 38, 39, 40],\n",
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" 'probe_points': [53, 54, 55],\n",
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" 'loop_patch': [56, 57, 58, 59, 60, 61, 62, 63, 64, 65],\n",
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"}\n",
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"\n",
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"baseline_serials = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
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"\n",
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"def load_multichannel_data(path=None):\n",
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" if path is None:\n",
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" # Get the data dir independent on where exactly the Jupyter server is running\n",
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" path = notebook_path_on_disk().parent.parent / 'data_multi'\n",
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" \n",
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" data_dict = defaultdict(list)\n",
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" data_dict_runs = defaultdict(list)\n",
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" for le_zip in path.glob('*.zip'):\n",
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" le_zip = zipfile.ZipFile(le_zip)\n",
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" for entry in le_zip.infolist():\n",
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" if not entry.filename.endswith('.json'):\n",
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" continue\n",
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" data = json.loads(le_zip.read(entry))\n",
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" info = data['info']\n",
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" meta, specimen = info['meta'], info['specimen']\n",
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" mesh_id = specimen\n",
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" _rest, _, serial = specimen.rpartition('-')\n",
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" try:\n",
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" serial = int(serial)\n",
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" except:\n",
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" serial = 'none'\n",
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"\n",
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" mods = []\n",
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" for modification, matching_serials in modification_data.items():\n",
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" if serial in matching_serials:\n",
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" mods.append(modification)\n",
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" info['mods'] = mods\n",
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"\n",
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" if (g := re.search(r'p([.0-9]+)', meta)):\n",
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" pitch = str(float(*g.groups()))\n",
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" else:\n",
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" warnings.warn(f'Unknown pitch for {meta!r}')\n",
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" pitch = '?'\n",
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"\n",
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" mesh_layout = re.sub(r'-\\d{4}', '', specimen)\n",
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" \n",
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" if (g := re.search(r'side-([ab])-(right|left)', meta)):\n",
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" layer, half = g.groups()\n",
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" mesh_id = f'M-{specimen}-{pitch}-{layer}-{half}'\n",
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" mesh_layout += f'-{layer}-{half}'\n",
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" else:\n",
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" mesh_id = f'M-{specimen}-{pitch}'\n",
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" info['mesh_id'] = mesh_id\n",
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" info['mesh_layout'] = mesh_layout\n",
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" info['pitch'] = pitch\n",
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" info['serial'] = serial if serial != 'none' else 0\n",
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" info['baseline'] = (serial in baseline_serials)\n",
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" data_dict[mesh_id].append(data)\n",
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" data_dict_runs[meta.strip()].append(data)\n",
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" return data_dict, data_dict_runs\n",
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"\n",
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"data, data_runs = load_multichannel_data()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 59,
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"id": "26ba6967-a405-49d5-b835-c3cb9276bc08",
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"metadata": {
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"scrolled": true
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"{'M-none-?': [],\n",
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" 'M-SP-PITCH-V2-0028-0.3': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0030-0.3': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0027-0.3': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0026-0.3': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0029-0.3': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0010-0.3': [],\n",
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" 'M-SP-PITCH-V2-0050-0.3': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0009-0.3': [],\n",
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" 'M-SP-PITCH-V2-0049-0.3': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0008-0.3': [],\n",
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" 'M-SP-PITCH-V2-0048-0.3': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0007-0.3': [],\n",
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" 'M-SP-PITCH-V2-0047-0.3': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0006-0.3': [],\n",
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" 'M-SP-PITCH-V2-0046-0.3': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0001-0.3': [],\n",
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" 'M-SP-PITCH-V2-0002-0.3': [],\n",
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" 'M-SP-PITCH-V2-0003-0.3': [],\n",
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" 'M-SP-PITCH-V2-0004-0.3': [],\n",
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" 'M-SP-PITCH-V2-0005-0.3': [],\n",
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" 'M-SP-PITCH-V2-0100-0.3': [],\n",
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" 'M-SP-PITCH-V2-0097-0.3': [],\n",
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" 'M-SP-PITCH-V2-0096-0.3': [],\n",
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" 'M-SP-PITCH-V2-0099-0.3': [],\n",
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" 'M-SP-PITCH-V2-0098-0.3': [],\n",
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" 'M-SP-PITCH-V2-0093-0.3': [],\n",
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" 'M-SP-PITCH-V2-0090-0.3': [],\n",
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" 'M-SP-PITCH-V2-0077-0.3': [],\n",
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" 'M-SP-PITCH-V2-0076-0.3': [],\n",
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" 'M-SP-PITCH-V2-0075-0.3': [],\n",
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" 'M-SP-PITCH-V2-0074-0.3': [],\n",
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" 'M-SP-PITCH-V2-0073-0.3': [],\n",
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" 'M-SP-PITCH-V2-0072-0.3': [],\n",
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" 'M-SP-PITCH-V2-0071-0.3': [],\n",
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" 'M-SP-PITCH-V2-0070-0.3': [],\n",
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" 'M-SP-PITCH-V2-0069-0.3': [],\n",
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" 'M-SP-PITCH-V2-0068-0.3': [],\n",
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" 'M-SP-PITCH-V2-0067-0.3': [],\n",
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" 'M-SP-PITCH-V2-0066-0.3': [],\n",
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" 'M-SP-PITCH-V2-0065-0.3': ['loop_patch'],\n",
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" 'M-SP-PITCH-V2-0064-0.3': ['loop_patch'],\n",
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" 'M-SP-PITCH-V2-0063-0.3': ['loop_patch'],\n",
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" 'M-SP-PITCH-V2-0062-0.3': ['loop_patch'],\n",
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" 'M-SP-PITCH-V2-0061-0.3': ['loop_patch'],\n",
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" 'M-SP-PITCH-V2-0060-0.3': ['loop_patch'],\n",
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" 'M-SP-PITCH-V2-0059-0.3': ['loop_patch'],\n",
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" 'M-SP-PITCH-V2-0058-0.3': ['loop_patch'],\n",
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" 'M-SP-PITCH-V2-0057-0.3': ['loop_patch'],\n",
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" 'M-SP-PITCH-V2-0056-0.3': ['loop_patch'],\n",
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" 'M-SP-PITCH-V2-0055-0.3': ['probe_points'],\n",
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" 'M-SP-PITCH-V2-0054-0.3': ['probe_points'],\n",
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" 'M-SP-PITCH-V2-0053-0.3': ['probe_points'],\n",
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" 'M-SP-PITCH-V2-0052-0.3': [],\n",
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" 'M-SP-PITCH-V2-0051-0.3': [],\n",
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" 'M-SP-PITCH-V2-0045-0.3': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0044-0.3': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0043-0.3': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0042-0.3': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0041-0.3': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0040-0.3': ['open'],\n",
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" 'M-SP-PITCH-V2-0039-0.3': ['open'],\n",
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" 'M-SP-PITCH-V2-0038-0.3': ['open'],\n",
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" 'M-SP-PITCH-V2-0037-0.3': ['open'],\n",
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" 'M-SP-PITCH-V2-0036-0.3': ['open'],\n",
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" 'M-SP-PITCH-V2-0035-0.3': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0034-0.3': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0033-0.3': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0032-0.3': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0031-0.3': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0025-0.3': ['open'],\n",
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" 'M-SP-PITCH-V2-0024-0.3': ['open'],\n",
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" 'M-SP-PITCH-V2-0023-0.3': ['open'],\n",
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" 'M-SP-PITCH-V2-0022-0.3': ['open'],\n",
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" 'M-SP-PITCH-V2-0021-0.3': ['open'],\n",
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" 'M-SP-PITCH-V2-0020-0.3': [],\n",
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" 'M-SP-PITCH-V2-0019-0.3': [],\n",
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" 'M-SP-PITCH-V2-0018-0.3': [],\n",
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" 'M-SP-PITCH-V2-0017-0.3': [],\n",
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" 'M-SP-PITCH-V2-0016-0.3': [],\n",
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" 'M-SP-PITCH-V2-0015-0.3': [],\n",
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" 'M-SP-PITCH-V2-0014-0.3': [],\n",
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" 'M-SP-PITCH-V2-0013-0.3': [],\n",
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" 'M-SP-PITCH-V2-0012-0.3': [],\n",
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" 'M-SP-PITCH-V2-0011-0.3': [],\n",
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" 'M-SP-ALT-A-V1-0105-0.4-a-right': [],\n",
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" 'M-SP-ALT-A-V1-0104-0.4-a-right': [],\n",
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" 'M-SP-ALT-A-V1-0103-0.4-a-right': [],\n",
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" 'M-SP-ALT-A-V1-0102-0.4-a-right': [],\n",
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" 'M-SP-ALT-A-V1-0101-0.4-a-right': [],\n",
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" 'M-SP-ALT-B-V1-0110-0.4-a-right': [],\n",
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" 'M-SP-ALT-B-V1-0109-0.4-a-right': [],\n",
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" 'M-SP-ALT-B-V1-0108-0.4-a-right': [],\n",
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" 'M-SP-ALT-B-V1-0107-0.4-a-right': [],\n",
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" 'M-SP-ALT-B-V1-0106-0.4-a-right': [],\n",
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" 'M-SP-ALT-A-V1-0101-0.4-a-left': [],\n",
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" 'M-SP-ALT-A-V1-0102-0.4-a-left': [],\n",
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" 'M-SP-ALT-A-V1-0103-0.4-a-left': [],\n",
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" 'M-SP-ALT-A-V1-0104-0.4-a-left': [],\n",
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" 'M-SP-ALT-A-V1-0105-0.4-a-left': [],\n",
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" 'M-SP-ALT-B-V1-0106-0.4-a-left': [],\n",
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" 'M-SP-ALT-B-V1-0107-0.4-a-left': [],\n",
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" 'M-SP-ALT-B-V1-0108-0.4-a-left': [],\n",
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" 'M-SP-ALT-B-V1-0109-0.4-a-left': [],\n",
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" 'M-SP-ALT-B-V1-0110-0.4-a-left': [],\n",
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" 'M-SP-PITCH-V2-0001-0.4': [],\n",
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" 'M-SP-PITCH-V2-0002-0.4': [],\n",
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" 'M-SP-PITCH-V2-0003-0.4': [],\n",
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" 'M-SP-PITCH-V2-0004-0.4': [],\n",
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" 'M-SP-PITCH-V2-0005-0.4': [],\n",
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" 'M-SP-PITCH-V2-0010-0.4': [],\n",
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" 'M-SP-PITCH-V2-0053-0.4': ['probe_points'],\n",
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" 'M-SP-PITCH-V2-0054-0.4': ['probe_points'],\n",
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" 'M-SP-PITCH-V2-0009-0.4': [],\n",
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" 'M-SP-PITCH-V2-0008-0.4': [],\n",
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" 'M-SP-PITCH-V2-0007-0.4': [],\n",
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" 'M-SP-PITCH-V2-0006-0.4': [],\n",
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" 'M-SP-PITCH-V2-0005-0.6': [],\n",
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" 'M-SP-PITCH-V2-0030-0.6': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0010-0.6': [],\n",
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" 'M-SP-PITCH-V2-0009-0.6': [],\n",
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" 'M-SP-PITCH-V2-0008-0.6': [],\n",
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" 'M-SP-PITCH-V2-0007-0.6': [],\n",
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" 'M-SP-PITCH-V2-0006-0.6': [],\n",
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" 'M-SP-PITCH-V2-0001-0.6': [],\n",
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" 'M-SP-PITCH-V2-0002-0.6': [],\n",
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" 'M-SP-PITCH-V2-0004-0.6': [],\n",
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" 'M-SP-PITCH-V2-0005-1.0': [],\n",
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" 'M-SP-PITCH-V2-0004-1.0': [],\n",
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" 'M-SP-PITCH-V2-0003-1.0': [],\n",
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" 'M-SP-PITCH-V2-0002-1.0': [],\n",
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" 'M-SP-PITCH-V2-0001-1.0': [],\n",
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" 'M-SP-PITCH-V2-0006-1.0': [],\n",
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" 'M-SP-PITCH-V2-0007-1.0': [],\n",
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" 'M-SP-PITCH-V2-0008-1.0': [],\n",
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" 'M-SP-PITCH-V2-0009-1.0': [],\n",
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" 'M-SP-PITCH-V2-0010-1.0': [],\n",
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" 'M-SP-PITCH-V2-0021-0.4': ['open'],\n",
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" 'M-SP-PITCH-V2-0022-0.4': ['open'],\n",
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" 'M-SP-PITCH-V2-0023-0.4': ['open'],\n",
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" 'M-SP-PITCH-V2-0024-0.4': ['open'],\n",
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" 'M-SP-PITCH-V2-0025-0.4': ['open'],\n",
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" 'M-SP-PITCH-V2-0031-0.4': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0032-0.4': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0033-0.4': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0034-0.4': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0035-0.4': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0026-0.4': ['short_within_trace'],\n",
|
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" 'M-SP-PITCH-V2-0027-0.4': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0028-0.4': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0029-0.4': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0030-0.4': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0029-0.6': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0028-0.6': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0027-0.6': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0026-0.6': ['short_within_trace'],\n",
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" 'M-SP-PITCH-V2-0035-0.6': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0034-0.6': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0033-0.6': ['short_across_traces'],\n",
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" 'M-SP-PITCH-V2-0032-0.6': ['short_across_traces'],\n",
|
|
" 'M-SP-PITCH-V2-0031-0.6': ['short_across_traces'],\n",
|
|
" 'M-SP-PITCH-V2-0025-0.6': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0024-0.6': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0023-0.6': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0022-0.6': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0021-0.6': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0021-1.0': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0022-1.0': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0023-1.0': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0024-1.0': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0025-1.0': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0031-1.0': ['short_across_traces'],\n",
|
|
" 'M-SP-PITCH-V2-0032-1.0': ['short_across_traces'],\n",
|
|
" 'M-SP-PITCH-V2-0033-1.0': ['short_across_traces'],\n",
|
|
" 'M-SP-PITCH-V2-0034-1.0': ['short_across_traces'],\n",
|
|
" 'M-SP-PITCH-V2-0035-1.0': ['short_across_traces'],\n",
|
|
" 'M-SP-PITCH-V2-0026-1.0': ['short_within_trace'],\n",
|
|
" 'M-SP-PITCH-V2-0027-1.0': ['short_within_trace'],\n",
|
|
" 'M-SP-PITCH-V2-0030-1.0': ['short_within_trace'],\n",
|
|
" 'M-SP-PITCH-V2-0028-1.0': ['short_within_trace'],\n",
|
|
" 'M-SP-PITCH-V2-0029-1.0': ['short_within_trace'],\n",
|
|
" 'M-SP-PITCH-V2-0055-0.4': ['probe_points'],\n",
|
|
" 'M-SP-PITCH-V2-0042-0.4': ['short_across_traces'],\n",
|
|
" 'M-SP-PITCH-V2-0043-0.4': ['short_across_traces'],\n",
|
|
" 'M-SP-PITCH-V2-0044-0.4': ['short_across_traces'],\n",
|
|
" 'M-SP-PITCH-V2-0045-0.4': ['short_across_traces'],\n",
|
|
" 'M-SP-PITCH-V2-0041-0.4': ['short_across_traces'],\n",
|
|
" 'M-SP-PITCH-V2-0037-0.4': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0038-0.4': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0039-0.4': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0040-0.4': ['open'],\n",
|
|
" 'M-SP-PITCH-V2-0036-0.4': ['open'],\n",
|
|
" 'M-M-SP-PITCH-V2-0058-0.3': ['loop_patch'],\n",
|
|
" 'M-M-SP-PITCH-V2-0059-0.3': ['loop_patch'],\n",
|
|
" 'M-M-SP-PITCH-V2-0056-0.3': ['loop_patch'],\n",
|
|
" 'M-M-SP-PITCH-V2-0061-0.3': ['loop_patch'],\n",
|
|
" 'M-M-SP-PITCH-V2-0060-0.3': ['loop_patch'],\n",
|
|
" 'M-M-SP-PITCH-V2-0063-0.3': ['loop_patch'],\n",
|
|
" 'M-M-SP-PITCH-V2-0064-0.3': ['loop_patch'],\n",
|
|
" 'M-M-SP-PITCH-V2-0065-0.3': ['loop_patch'],\n",
|
|
" 'M-M-SP-PITCH-V2-0062-0.3': ['loop_patch'],\n",
|
|
" 'M-M-SP-PITCH-V2-0057-0.3': ['loop_patch'],\n",
|
|
" 'M-M-SP-PITCH-V2-0005-0.3': [],\n",
|
|
" 'M-M-SP-PITCH-V2-0010-0.3': [],\n",
|
|
" 'M-M-SP-PITCH-V2-0009-0.3': [],\n",
|
|
" 'M-M-SP-PITCH-V2-0008-0.3': [],\n",
|
|
" 'M-M-SP-PITCH-V2-0007-0.3': [],\n",
|
|
" 'M-M-SP-PITCH-V2-0006-0.3': [],\n",
|
|
" 'M-M-SP-PITCH-V2-0001-0.3': [],\n",
|
|
" 'M-M-SP-PITCH-V2-0002-0.3': [],\n",
|
|
" 'M-M-SP-PITCH-V2-0003-0.3': [],\n",
|
|
" 'M-M-SP-PITCH-V2-0004-0.3': [],\n",
|
|
" 'M-sp-pitch-v2-0004-0.3': [],\n",
|
|
" 'M-SP-PITCH-V2-0005-14.0': []}"
|
|
]
|
|
},
|
|
"execution_count": 59,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"{key: value[0]['info'].get('mods') for key, value in data.items()}"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 60,
|
|
"id": "62650fb7-6230-4883-ba9a-aad9e0c4b69e",
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Counter({'Baseline-2-p0.3': 100,\n",
|
|
" 'attack-repeat-25-07-09-01-p0.3': 100,\n",
|
|
" 'simple-attack-25-07-07-01-p0.3': 33,\n",
|
|
" 'simple-attack-25-07-07-01-p0.4': 33,\n",
|
|
" 'Baseline-1-p0.3': 30,\n",
|
|
" 'Baseline-2-p0.4': 30,\n",
|
|
" 'probe-interleave-25-07-02-01-p0.4': 28,\n",
|
|
" 'probe-interleave-25-07-02-01-p0.3': 26,\n",
|
|
" 'Baseline-1-p0.4': 25,\n",
|
|
" 'touch-interleave-touch-serial-5-25-07-02-01-p0.3': 23,\n",
|
|
" 'attack-soldering-iron-25-07-08-01-p0.3': 22,\n",
|
|
" 'patch-attack-25-07-09-02-p0.3': 21,\n",
|
|
" 'interleaved-25-07-02-01-p0.3': 20,\n",
|
|
" 'interleaved-25-07-02-02-p0.3': 20,\n",
|
|
" 'hot-mesh-hot-serial-5-25-07-02-01-p0.3': 20,\n",
|
|
" 'touch-ground-interleave-touch-serial-5-25-07-02-01-p0.3': 20,\n",
|
|
" 'patch-attack-25-07-09-01-p0.3': 20,\n",
|
|
" 'simple-attack-25-07-08-01-p0.3': 20,\n",
|
|
" 'mods-25-07-01-01-p0.3': 16,\n",
|
|
" 'mods-25-07-01-01-p0.4': 16,\n",
|
|
" 'baseline-4-p0.4': 15,\n",
|
|
" 'mods-25-07-01-01-p0.6': 15,\n",
|
|
" 'mods-25-07-01-01-p1.0': 15,\n",
|
|
" 'mod-25-07-02-01-p0.3': 12,\n",
|
|
" 'attack-soldering-wire-25-07-08-01-p0.3': 12,\n",
|
|
" 'baseline-repeat-25-07-02-01-p0.3': 11,\n",
|
|
" 'baseline-4-p0.3': 10,\n",
|
|
" 'baseline-repeat-25-07-02-02-p0.3': 10,\n",
|
|
" 'environment-25-07-09-01-forest-x1c-p0.3': 10,\n",
|
|
" 'environment-25-07-08-01-homeoffice-desktop-p0.3': 10,\n",
|
|
" 'Baseline-2-alt-side-a-right-p0.4': 10,\n",
|
|
" 'Baseline-1-alt-side-a-right-p0.4': 10,\n",
|
|
" 'Baseline-2-alt-side-a-left-p0.4': 10,\n",
|
|
" 'Baseline-1-alt-side-a-left-p0.4': 10,\n",
|
|
" 'hot-mesh-hot-serial-5-25-07-02-01-p0.4': 10,\n",
|
|
" 'environment-25-07-09-01-forest-x1c-p0.4': 10,\n",
|
|
" 'environment-25-07-08-01-homeoffice-desktop-p0.4': 10,\n",
|
|
" 'baseline-6-p0.6': 10,\n",
|
|
" 'environment-25-07-09-01-forest-x1c-p0.6': 10,\n",
|
|
" 'environment-25-07-08-01-homeoffice-desktop-p0.6': 10,\n",
|
|
" 'baseline-6-p1.0': 10,\n",
|
|
" 'environment-25-07-09-01-forest-x1c-p1.0 ': 10,\n",
|
|
" 'environment-25-07-08-01-homeoffice-desktop-p1.0': 10,\n",
|
|
" 'environment-25-07-08-01-office-p14s-p0.3': 10,\n",
|
|
" 'environment-25-07-08-01-office-p14s-p0.4': 10,\n",
|
|
" 'environment-25-07-08-01-office-p14s-p0.6': 10,\n",
|
|
" 'environment-25-07-08-01-office-p14s-p1.0': 10,\n",
|
|
" 'environment-25-07-08-01-serverroom-p14s-p0.3': 10,\n",
|
|
" 'environment-25-07-08-01-serverroom-p14s-p0.4': 10,\n",
|
|
" 'environment-25-07-08-01-serverroom-p14s-p0.6': 10,\n",
|
|
" 'environment-25-07-08-01-serverroom-p14s-p1.0': 10,\n",
|
|
" 'environment-25-07-08-01-electronicslab-p14s-p0.3': 10,\n",
|
|
" 'environment-25-07-08-01-electronicslab-p14s-p0.4': 10,\n",
|
|
" 'environment-25-07-08-01-electronicslab-p14s-p0.6': 10,\n",
|
|
" 'environment-25-07-08-01-electronicslab-p14s-p1.0': 10,\n",
|
|
" 'cal-open': 2,\n",
|
|
" 'baseline-5-p0.6': 2,\n",
|
|
" 'baseline-5-open': 1,\n",
|
|
" 'baseline-4-p0.6': 1})"
|
|
]
|
|
},
|
|
"execution_count": 60,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"Counter([value['info']['meta'] for entries in data.values() for value in entries])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 61,
|
|
"id": "50d21521-28d4-44da-b72f-223212424c9d",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0021', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:51:08.938Z', 'mods': ['open'], 'mesh_id': 'M-SP-PITCH-V2-0021-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 21, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0022', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:51:28.628Z', 'mods': ['open'], 'mesh_id': 'M-SP-PITCH-V2-0022-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 22, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0023', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:51:42.076Z', 'mods': ['open'], 'mesh_id': 'M-SP-PITCH-V2-0023-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 23, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0024', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:52:00.660Z', 'mods': ['open'], 'mesh_id': 'M-SP-PITCH-V2-0024-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 24, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0025', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:52:20.852Z', 'mods': ['open'], 'mesh_id': 'M-SP-PITCH-V2-0025-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 25, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0031', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:52:39.354Z', 'mods': ['short_across_traces'], 'mesh_id': 'M-SP-PITCH-V2-0031-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 31, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0032', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:52:58.701Z', 'mods': ['short_across_traces'], 'mesh_id': 'M-SP-PITCH-V2-0032-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 32, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0033', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:53:18.024Z', 'mods': ['short_across_traces'], 'mesh_id': 'M-SP-PITCH-V2-0033-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 33, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0034', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:53:37.115Z', 'mods': ['short_across_traces'], 'mesh_id': 'M-SP-PITCH-V2-0034-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 34, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0035', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:53:51.543Z', 'mods': ['short_across_traces'], 'mesh_id': 'M-SP-PITCH-V2-0035-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 35, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0026', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:54:09.575Z', 'mods': ['short_within_trace'], 'mesh_id': 'M-SP-PITCH-V2-0026-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 26, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0027', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:54:36.174Z', 'mods': ['short_within_trace'], 'mesh_id': 'M-SP-PITCH-V2-0027-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 27, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0028', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:54:54.825Z', 'mods': ['short_within_trace'], 'mesh_id': 'M-SP-PITCH-V2-0028-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 28, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0029', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:55:16.120Z', 'mods': ['short_within_trace'], 'mesh_id': 'M-SP-PITCH-V2-0029-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 29, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0029', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T14:20:55.480Z', 'mods': ['short_within_trace'], 'mesh_id': 'M-SP-PITCH-V2-0029-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 29, 'baseline': False}\n",
|
|
"{'meta': 'mods-25-07-01-01-p0.4', 'specimen': 'SP-PITCH-V2-0030', 'mcu': '203632423631500f003f0034', 'chip': 'pi3hdx12211', 'timestamp': '2025-07-01T13:55:33.188Z', 'mods': ['short_within_trace'], 'mesh_id': 'M-SP-PITCH-V2-0030-0.4', 'mesh_layout': 'SP-PITCH-V2', 'pitch': '0.4', 'serial': 30, 'baseline': False}\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"for foo in data.values():\n",
|
|
" for elem in foo:\n",
|
|
" if elem['info']['meta'] == 'mods-25-07-01-01-p0.4':\n",
|
|
" print(elem['info'])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 62,
|
|
"id": "eda2dc4b-1641-4fce-a4ec-cba08d8df9f9",
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[{'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0028',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:27:37.629Z',\n",
|
|
" 'mods': ['short_within_trace'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0028-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 28,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0030',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:26:21.618Z',\n",
|
|
" 'mods': ['short_within_trace'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0030-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 30,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0027',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:27:57.358Z',\n",
|
|
" 'mods': ['short_within_trace'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0027-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 27,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0026',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:28:17.183Z',\n",
|
|
" 'mods': ['short_within_trace'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0026-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 26,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0029',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:27:14.007Z',\n",
|
|
" 'mods': ['short_within_trace'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0029-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 29,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0029',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T14:20:23.363Z',\n",
|
|
" 'mods': ['short_within_trace'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0029-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 29,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0035',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:28:35.483Z',\n",
|
|
" 'mods': ['short_across_traces'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0035-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 35,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0034',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:28:55.114Z',\n",
|
|
" 'mods': ['short_across_traces'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0034-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 34,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0033',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:29:13.962Z',\n",
|
|
" 'mods': ['short_across_traces'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0033-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 33,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0032',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:29:33.248Z',\n",
|
|
" 'mods': ['short_across_traces'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0032-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 32,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0031',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:29:52.697Z',\n",
|
|
" 'mods': ['short_across_traces'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0031-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 31,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0025',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:30:19.087Z',\n",
|
|
" 'mods': ['open'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0025-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 25,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0024',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:30:37.999Z',\n",
|
|
" 'mods': ['open'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0024-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 24,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0023',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:30:57.251Z',\n",
|
|
" 'mods': ['open'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0023-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 23,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0022',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:31:16.891Z',\n",
|
|
" 'mods': ['open'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0022-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 22,\n",
|
|
" 'baseline': False},\n",
|
|
" {'meta': 'mods-25-07-01-01-p0.3',\n",
|
|
" 'specimen': 'SP-PITCH-V2-0021',\n",
|
|
" 'mcu': '203632423631500f003f0034',\n",
|
|
" 'chip': 'pi3hdx12211',\n",
|
|
" 'timestamp': '2025-07-01T13:31:39.864Z',\n",
|
|
" 'mods': ['open'],\n",
|
|
" 'mesh_id': 'M-SP-PITCH-V2-0021-0.3',\n",
|
|
" 'mesh_layout': 'SP-PITCH-V2',\n",
|
|
" 'pitch': '0.3',\n",
|
|
" 'serial': 21,\n",
|
|
" 'baseline': False}]"
|
|
]
|
|
},
|
|
"execution_count": 62,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"[value['info'] for entries in data.values() for value in entries if value['info']['meta'] == 'mods-25-07-01-01-p0.3']"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 63,
|
|
"id": "54565f84-158c-4a91-9420-3b047c46b369",
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"{0.3: ['2025-07-09T14:51:30.023Z',\n",
|
|
" '2025-07-09T14:51:36.870Z',\n",
|
|
" '2025-07-09T14:51:43.951Z',\n",
|
|
" '2025-07-09T14:51:51.030Z',\n",
|
|
" '2025-07-09T14:51:57.358Z'],\n",
|
|
" 0.4: ['2025-07-08T19:01:13.514Z',\n",
|
|
" '2025-07-08T19:01:20.427Z',\n",
|
|
" '2025-07-08T19:01:27.348Z',\n",
|
|
" '2025-07-08T19:01:34.785Z',\n",
|
|
" '2025-07-08T19:01:40.874Z'],\n",
|
|
" 0.6: ['2025-07-08T19:02:28.753Z',\n",
|
|
" '2025-07-08T19:02:35.523Z',\n",
|
|
" '2025-07-08T19:02:42.237Z',\n",
|
|
" '2025-07-08T19:02:49.215Z',\n",
|
|
" '2025-07-08T19:02:55.878Z'],\n",
|
|
" 1.0: ['2025-07-08T19:03:43.821Z',\n",
|
|
" '2025-07-08T19:03:50.835Z',\n",
|
|
" '2025-07-08T19:03:57.466Z',\n",
|
|
" '2025-07-08T19:04:04.237Z',\n",
|
|
" '2025-07-08T19:04:10.983Z']}"
|
|
]
|
|
},
|
|
"execution_count": 63,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"def newest_for_mesh(chip='pi3hdx12211'):\n",
|
|
" out = {}\n",
|
|
" for key, entries in data.items():\n",
|
|
" entries = [e for e in entries if e['info']['chip'] == chip]\n",
|
|
" out[key] = entries[0]\n",
|
|
" for value in entries[1:]:\n",
|
|
" if value['info']['timestamp'] > out[key]['info']['timestamp']:\n",
|
|
" out[key] = value\n",
|
|
" return out\n",
|
|
"\n",
|
|
"data_newest = newest_for_mesh()\n",
|
|
"mod_baseline = {pitch: [\n",
|
|
" data_newest[f'M-SP-PITCH-V2-{serial:04d}-{pitch}']\n",
|
|
" for serial in [1,2,3,4,5]]\n",
|
|
" for pitch in [0.3, 0.4, 0.6, 1.0]}\n",
|
|
"\n",
|
|
"mod_modified = {(mod, pitch): [\n",
|
|
" value\n",
|
|
" for value in data_newest.values()\n",
|
|
" if mod in value['info']['mods']\n",
|
|
" and value['info']['pitch'] == str(pitch)]\n",
|
|
" for mod, pitch in itertools.product(['open', 'short_within_trace', 'short_across_traces'],\n",
|
|
" [0.3, 0.4, 0.6, 1.0])}\n",
|
|
"one_specimen_baseline = {pitch:\n",
|
|
" [val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and key == f'M-SP-PITCH-V2-0005-{pitch}'][-5:]\n",
|
|
" for pitch in [0.3, 0.4, 0.6, 1.0]}\n",
|
|
"\n",
|
|
"#{k: [e['info']['timestamp'] for e in v] for k, v in mod_baseline.items()}\n",
|
|
"#{k: [e['info']['meta'] for e in v] for k, v in mod_modified.items()}\n",
|
|
"{k: [e['info']['timestamp'] for e in v] for k, v in one_specimen_baseline.items()}"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 64,
|
|
"id": "b8d7c4e0-7860-4058-8fd1-e7948ac06674",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"5"
|
|
]
|
|
},
|
|
"execution_count": 64,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"len([val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and key == 'M-SP-PITCH-V2-0001-0.4'][-5:])\n",
|
|
"len(list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and re.match(r'M-SP-PITCH-V2-000[23456]-0\\.4', key)}.values()))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 65,
|
|
"id": "72b6defa-c833-4f5e-9166-42d0654625bc",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Baseline threshold set at 0.999941\n",
|
|
"Within class: 1±8.75e-06 max: 1\n",
|
|
"Cross class: 1±7.32e-05 max: 1\n",
|
|
"Baseline false negative probability: 0.000000002181\n",
|
|
"Baseline false positive probability: 0.241450931829\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
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},
|
|
{
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"data": {
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
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},
|
|
{
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"data": {
|
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"image/png": 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",
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
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]
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},
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"metadata": {},
|
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"output_type": "display_data"
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}
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],
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"source": [
|
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"roi_map = {\n",
|
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" 'tdp0604': (155, 445),\n",
|
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" 'pi3hdx12211': (160, 450),\n",
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"}\n",
|
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"foo = list(roi_map.values())[0]\n",
|
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"roi_n = foo[1] - foo[0]\n",
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"\n",
|
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"def plot_covar(group_a, group_b, select_trace='open_fwd', select_channel='adc1', smooth=None, plot_cdf=False):\n",
|
|
" group_a = sorted(group_a, key=lambda entry: entry['info']['serial'])\n",
|
|
" group_b = sorted(group_b, key=lambda entry: entry['info']['serial'])\n",
|
|
" all_traces = group_a + group_b\n",
|
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" \n",
|
|
" d = np.zeros((len(all_traces), roi_n))\n",
|
|
" labels = []\n",
|
|
" for i, trace in enumerate(all_traces):\n",
|
|
" trace_data = trace['data'][select_trace][select_channel]\n",
|
|
" start, end = roi_map[trace['info']['chip']]\n",
|
|
" trace_data = trace_data[start:end]\n",
|
|
"\n",
|
|
" if smooth is not None:\n",
|
|
" t = np.linspace(0, 1, len(trace_data))\n",
|
|
" spl = interpolate.make_smoothing_spline(t, trace_data, lam=smooth)\n",
|
|
" trace_data = spl(t)\n",
|
|
" \n",
|
|
" d[i] = trace_data\n",
|
|
" labels.append(str(trace['info']['serial']))\n",
|
|
" \n",
|
|
" \n",
|
|
" # Normalize each curve such that its mean is at 0 and its min is at -1\n",
|
|
" deltas = d[:,1:]\n",
|
|
" deltas -= np.repeat(deltas.mean(axis=1)[:,np.newaxis], roi_n-1, axis=1)\n",
|
|
" deltas /= np.repeat(deltas.max(axis=1)[:,np.newaxis], roi_n-1, axis=1)\n",
|
|
" \n",
|
|
" # Align all curves such that the trace starts where the trace crosses 0.5\n",
|
|
" #roi_refined = round(np.mean(roi_n - 1 - np.argmax(deltas[:,::-1] > 0.5, axis=1))), roi_n\n",
|
|
" #deltas = deltas[:,roi_refined[0]:roi_refined[1]]\n",
|
|
" \n",
|
|
" corr = np.corrcoef(deltas)\n",
|
|
" \n",
|
|
" fig, ax = plt.subplots()\n",
|
|
" for i, (x, lab) in enumerate(zip(deltas, labels)):\n",
|
|
" ax.plot(x, label=lab, color=('red' if i<len(group_a) else 'blue'), alpha=0.7)\n",
|
|
" ax.legend()\n",
|
|
" \n",
|
|
" within_class = corr[:4, :4][np.triu_indices(4)]\n",
|
|
" cross_class = corr[4:, :4].flatten()\n",
|
|
" \n",
|
|
" cdf = lambda x, mu, sigma: 1/2 * (1 + math.erf((x - mu) / (sigma * math.sqrt(2))))\n",
|
|
" threshold = (np.mean(within_class) + np.mean(cross_class)) / 2\n",
|
|
" print(f'Baseline threshold set at {threshold:.6f}')\n",
|
|
" \n",
|
|
" for name, data in [('Within', within_class), ('Cross', cross_class)]:\n",
|
|
" print(f'{name} class: {np.mean(data):.3g}±{np.std(data):.3g} max: {np.max(data):.3g}')\n",
|
|
" print(f'Baseline false negative probability: {cdf(threshold, np.mean(within_class), np.std(within_class)):.12f}')\n",
|
|
" print(f'Baseline false positive probability: {1 - cdf(threshold, np.mean(cross_class), np.std(cross_class)):.12f}')\n",
|
|
" \n",
|
|
" #corr -= np.min(corr)\n",
|
|
" #corr /= np.max(corr)\n",
|
|
" \n",
|
|
" #for i in range(len(corr[0])):\n",
|
|
" # corr[i, i] = math.nan\n",
|
|
" \n",
|
|
" fig, ax = plt.subplots()\n",
|
|
" cax = ax.matshow(corr, interpolation='nearest', cmap='managua')\n",
|
|
" fig.colorbar(cax)\n",
|
|
" ax.set_xticks(list(range(len(labels))))\n",
|
|
" ax.set_xticklabels(labels, rotation=45, ha='left')\n",
|
|
" ax.set_yticks(list(range(len(labels))))\n",
|
|
" ax.set_yticklabels(labels)\n",
|
|
" fig.tight_layout()\n",
|
|
"\n",
|
|
" if plot_cdf:\n",
|
|
" fig, ax = plt.subplots()\n",
|
|
" all_classes = [0] * len(group_a) + [1] * len(group_b)\n",
|
|
" min_corr = corr.min()\n",
|
|
" max_corr = corr.max()\n",
|
|
" d_corr = max_corr - min_corr\n",
|
|
" x = np.linspace(min_corr - 0.1*d_corr, max_corr + 0.1 * d_corr, 100)\n",
|
|
"\n",
|
|
" correct_in_group = lambda thr: np.mean(corr[np.triu_indices(len(group_a), 1)] >= thr)\n",
|
|
" correct_out_group = lambda thr: np.mean(corr[:len(group_a), len(group_a):] < thr)\n",
|
|
"\n",
|
|
" ax.plot(x, [correct_in_group(val) for val in x])\n",
|
|
" ax.plot(x, [correct_out_group(val) for val in x])\n",
|
|
" fig.tight_layout()\n",
|
|
" #fig.savefig('../paper/manip_pearson_corr.pdf')\n",
|
|
"\n",
|
|
"#group_a = [val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and key == 'M-SP-PITCH-V2-0001-0.4'][-5:]\n",
|
|
"#group_b = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and re.match(r'M-SP-PITCH-V2-000[23456]-0\\.4', key)}.values())\n",
|
|
"\n",
|
|
"#group_a = [val for key, values in data.items() for val in values if val['info']['chip'] == 'tdp0604' and key == 'M-SP-PITCH-V2-0001-0.4'][-5:]\n",
|
|
"#group_b = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'tdp0604' and re.match(r'M-SP-PITCH-V2-000[23456]-0\\.4', key)}.values())\n",
|
|
"#plot_covar(group_a, group_b, select_trace='open_fwd', select_channel='adc1', smooth=None)\n",
|
|
"\n",
|
|
"group_a = [val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and key == 'M-SP-PITCH-V2-0003-0.4'][-5:]\n",
|
|
"group_b = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and re.match(r'M-SP-PITCH-V2-000[1245]-0\\.4', key)}.values())\n",
|
|
"plot_covar(group_a, group_b, select_trace='open_fwd', smooth=1e-2, plot_cdf=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 66,
|
|
"id": "6f435bd9-ebbc-458d-bad6-044ca7d7a111",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.972987\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.979±0.00182 min: 0.975 max: 0.983\n",
|
|
"Cross class: 0.944±0.00617 min: 0.934 max: 0.96\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000001501477\n",
|
|
"EER: 0.0 th: 0.9747796526628734\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 66,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
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"text/plain": [
|
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"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def plot_vector_covar(group_a, group_b, do_cal=False, vector_method='norm', distance_method='corr', smooth=None, plot_cdf=False, covar_out=None, cdf_out=None, fig_out=None, do_lines=False, batchlabels=None, figsize=(3, 3), triangle_delta=False, sort_groups=False):\n",
|
|
" if sort_groups:\n",
|
|
" group_a = sorted(group_a, key=lambda entry: entry['info']['serial'])\n",
|
|
" group_b = sorted(group_b, key=lambda entry: entry['info']['serial'])\n",
|
|
" all_traces = group_a + group_b\n",
|
|
" prints = []\n",
|
|
" def print(*args):\n",
|
|
" s = ' '.join(map(str, args))\n",
|
|
" import builtins\n",
|
|
" builtins.print(s)\n",
|
|
" prints.append(s)\n",
|
|
"\n",
|
|
" if fig_out:\n",
|
|
" covar_out = Path(f'../paper/fig_covar_{fig_out}.pdf')\n",
|
|
" cdf_out = Path(f'../paper/fig_cdf_{fig_out}.pdf')\n",
|
|
" results_out = Path(f'../paper/fig_results_{fig_out}.txt')\n",
|
|
" else:\n",
|
|
" results_out = None\n",
|
|
" \n",
|
|
" d = np.zeros((len(all_traces), 12, roi_n))\n",
|
|
" labels = []\n",
|
|
" for i, entry in enumerate(all_traces):\n",
|
|
" start, end = roi_map[entry['info']['chip']]\n",
|
|
" labels.append(entry['info']['serial'])\n",
|
|
" for j, (term, direction, channel) in enumerate(itertools.product(['open', 'short', 'load'], ['fwd', 'flip'], ['adc1', 'adc2'])):\n",
|
|
" trace_data = np.array(entry['data'][f'{term}_{direction}'][channel])\n",
|
|
" if do_cal:\n",
|
|
" trace_data -= np.array(entry['data']['cal'][channel])\n",
|
|
" \n",
|
|
" if smooth is not None:\n",
|
|
" t = np.linspace(0, 1, len(trace_data))\n",
|
|
" spl = interpolate.make_smoothing_spline(t, trace_data, lam=smooth)\n",
|
|
" trace_data = spl(t)\n",
|
|
" \n",
|
|
" d[i, j] = trace_data[start:end]\n",
|
|
"\n",
|
|
" if triangle_delta == 'load':\n",
|
|
" d = d.reshape((len(all_traces), 3, 4, roi_n))\n",
|
|
" d_new = np.zeros(d.shape)\n",
|
|
" for i in range(0, 4):\n",
|
|
" d_new[:, 0] = d[:, 1] - d[:, 2]\n",
|
|
" d_new[:, 1] = d[:, 2] - d[:, 0]\n",
|
|
" d_new[:, 2] = d[:, 0] - d[:, 1]\n",
|
|
" d = d_new\n",
|
|
" d = d.reshape((len(all_traces), 12, roi_n))\n",
|
|
" \n",
|
|
" elif triangle_delta == 'channel':\n",
|
|
" d = d.reshape((len(all_traces), 3, 2, 2, roi_n))\n",
|
|
" d_new = np.zeros(d.shape)\n",
|
|
" for i in range(0, 4):\n",
|
|
" d_new[:, :, :, 0] = d[:, :, :, 1] - d[:, :, :, 0]\n",
|
|
" d_new[:, :, :, 1] = (d[:, :, :, 1] + d[:, :, :, 0]) / 2\n",
|
|
" d = d_new\n",
|
|
" d = d.reshape((len(all_traces), 12, roi_n))\n",
|
|
" \n",
|
|
" # Normalize each curve such that its mean is at 0 and its min is at -1\n",
|
|
" deltas = d[:,:,1:]\n",
|
|
" deltas -= np.repeat(deltas.mean(axis=2)[:,:,np.newaxis], roi_n-1, axis=2)\n",
|
|
" deltas /= np.repeat(deltas.max(axis=2)[:,:,np.newaxis], roi_n-1, axis=2)\n",
|
|
" \n",
|
|
" # Align all curves such that the trace starts where the trace crosses 0.5\n",
|
|
" #roi_refined = round(np.mean(roi_n - 1 - np.argmax(deltas[:,::-1] > 0.5, axis=1))), roi_n\n",
|
|
" #deltas = deltas[:,roi_refined[0]:roi_refined[1]]\n",
|
|
"\n",
|
|
" corr = np.zeros((12, len(all_traces), len(all_traces)))\n",
|
|
" for i in range(12):\n",
|
|
" if distance_method == 'corr':\n",
|
|
" corr[i] = np.corrcoef(deltas[:,i,:])\n",
|
|
" elif distance_method == 'max':\n",
|
|
" for k, l in itertools.product(range(len(all_traces)), repeat=2):\n",
|
|
" corr[i, k, l] = 1 - np.abs(deltas[k,i,:] - deltas[l,i,:]).max()\n",
|
|
" else:\n",
|
|
" raise ValueError(f'invalid distance_method {distance_method!r}')\n",
|
|
"\n",
|
|
" if vector_method == 'norm':\n",
|
|
" corr = np.sqrt(np.mean(np.square(corr), axis=0))\n",
|
|
" elif vector_method == 'min':\n",
|
|
" corr = np.min(corr, axis=0)\n",
|
|
" else:\n",
|
|
" raise ValueError(f'invalid vector_method {vector_method!r}')\n",
|
|
" \n",
|
|
" within_class = corr[:len(group_a), :len(group_a)][np.triu_indices(len(group_a), 1)]\n",
|
|
" cross_class = corr[len(group_a):, :len(group_a)].flatten()\n",
|
|
" \n",
|
|
" cdf = lambda x, mu, sigma: 1/2 * (1 + math.erf((x - mu) / (sigma * math.sqrt(2))))\n",
|
|
" quantile = lambda x, mu, sigma: mu + sigma * np.sqrt(2) * scipy.special.erfinv(2*x-1)\n",
|
|
" #threshold = (np.mean(within_class) + np.mean(cross_class)) / 2\n",
|
|
" #threshold = np.mean(within_class) -2*np.std(within_class)\n",
|
|
" #threshold = (np.min(within_class) + np.max(cross_class)) / 2\n",
|
|
" baseline_quantile = 0.001\n",
|
|
" print(f'setting threshold for quantile {baseline_quantile}')\n",
|
|
" threshold = quantile(baseline_quantile, np.mean(within_class), np.std(within_class))\n",
|
|
" print(f'Baseline threshold set at {threshold:.6f}')\n",
|
|
"\n",
|
|
" print()\n",
|
|
" print('Distribution parameters:')\n",
|
|
" for name, data in [('Within', within_class), ('Cross', cross_class)]:\n",
|
|
" print(f'{name} class: {np.mean(data):.3g}±{np.std(data):.3g} min: {np.min(data):.3g} max: {np.max(data):.3g}')\n",
|
|
" print()\n",
|
|
" print(f'Type 1 error (false alarm rate): {cdf(threshold, np.mean(within_class), np.std(within_class)):.12f}')\n",
|
|
" print(f'Type 2 error (missed alarm rate): {1 - cdf(threshold, np.mean(cross_class), np.std(cross_class)):.12f}')\n",
|
|
" \n",
|
|
" #corr -= np.min(corr)\n",
|
|
" #corr /= np.max(corr)\n",
|
|
" \n",
|
|
" #for i in range(len(corr[0])):\n",
|
|
" # corr[i, i] = math.nan\n",
|
|
" \n",
|
|
" fig, ax = plt.subplots(figsize=figsize)\n",
|
|
" corr_ax = ax.matshow(corr, interpolation='none', cmap='managua')\n",
|
|
" if batchlabels:\n",
|
|
" ticks, labels = batchlabels\n",
|
|
" ax.set_xticks(ticks)\n",
|
|
" ax.set_xticklabels(labels, rotation=45, ha='left')\n",
|
|
" ax.set_yticks(ticks)\n",
|
|
" ax.set_yticklabels(labels, rotation=0)\n",
|
|
" else:\n",
|
|
" ax.set_xticklabels([])\n",
|
|
" ax.set_yticklabels([])\n",
|
|
" \n",
|
|
" # https://stackoverflow.com/questions/18195758/set-matplotlib-colorbar-size-to-match-graph \n",
|
|
" from mpl_toolkits.axes_grid1 import make_axes_locatable, axes_size\n",
|
|
" divider = make_axes_locatable(ax)\n",
|
|
" aspect = 20\n",
|
|
" pad_fraction = 1\n",
|
|
" width = axes_size.AxesY(ax, aspect=1./aspect)\n",
|
|
" pad = axes_size.Fraction(pad_fraction, width)\n",
|
|
" cax = divider.append_axes(\"right\", size=width, pad=pad)\n",
|
|
" plt.colorbar(corr_ax, cax=cax)\n",
|
|
"\n",
|
|
" #fig.colorbar(cax)\n",
|
|
" #ax.set_xticks(list(range(len(labels))))\n",
|
|
" #ax.set_xticklabels(labels, rotation=45, ha='left')\n",
|
|
" #ax.set_yticks(list(range(len(labels))))\n",
|
|
" #ax.set_yticklabels(labels)\n",
|
|
" if do_lines:\n",
|
|
" ax.plot([-0.5, len(all_traces)-0.5], [len(group_a)-0.5, len(group_a)-0.5], '-', color='white', linewidth=1)\n",
|
|
" ax.plot([len(group_a)-0.5, len(group_a)-0.5], [-0.5, len(all_traces)-0.5], '-', color='white', linewidth=1)\n",
|
|
" fig.tight_layout()\n",
|
|
" if covar_out:\n",
|
|
" fig.savefig(covar_out)\n",
|
|
"\n",
|
|
" fig_c, ax_c = fig, ax\n",
|
|
" if plot_cdf:\n",
|
|
" fig, ax = plt.subplots(figsize=(3, 1.5))\n",
|
|
" all_classes = [0] * len(group_a) + [1] * len(group_b)\n",
|
|
" min_corr = corr.min()\n",
|
|
" max_corr = corr.max()\n",
|
|
" d_corr = max_corr - min_corr\n",
|
|
" x = np.linspace(min_corr - 0.1*d_corr, max_corr + 0.1 * d_corr, 100)\n",
|
|
"\n",
|
|
" correct_in_group = lambda thr: np.mean(corr[np.triu_indices(len(group_a), 1)] < thr)\n",
|
|
" correct_out_group = lambda thr: np.mean(corr[:len(group_a), len(group_a):] >= thr)\n",
|
|
"\n",
|
|
" cdf_in_group = [correct_in_group(val) for val in x]\n",
|
|
" cdf_out_group = [correct_out_group(val) for val in x]\n",
|
|
"\n",
|
|
" for x1, x2, a, b, c, d in zip(x, x[1:], cdf_in_group, cdf_in_group[1:], cdf_out_group, cdf_out_group[1:]):\n",
|
|
" if a <= c and b >= d:\n",
|
|
" # lines cross\n",
|
|
" if a == b == c == d:\n",
|
|
" eer = 0.0\n",
|
|
" eer_th = x2\n",
|
|
" else:\n",
|
|
" eer_th = (c - a) / (b + c - a - d)\n",
|
|
" eer = eer_th * (d - c) + c\n",
|
|
" eer_th = eer_th*(x2 - x1) + x1\n",
|
|
" print(f'EER: {eer} th: {eer_th}')\n",
|
|
" #ax.axhline(eer)\n",
|
|
" ax.axvline(eer_th, color='black', alpha=0.3, zorder=-2)\n",
|
|
" offx, offy = 10, 0\n",
|
|
" hora = 'left'\n",
|
|
" if eer > 0.85:\n",
|
|
" offy -= 15\n",
|
|
" elif eer < 0.15:\n",
|
|
" offy += 15\n",
|
|
" if (eer_th - min_corr) / (max_corr - min_corr) > 0.7:\n",
|
|
" offx = -offx\n",
|
|
" hora = 'right'\n",
|
|
" ax.annotate(f'CER={eer:.3f}', (eer_th, eer), (offx, offy), textcoords='offset pixels', verticalalignment='center', horizontalalignment=hora,\n",
|
|
" bbox={'boxstyle': 'square,pad=0.3', 'fc': '#ffffff80', 'ec': None, 'lw': 0})\n",
|
|
" \n",
|
|
" ax.plot(x, cdf_in_group, color='red', linewidth=1, linestyle='-', label='Type I')\n",
|
|
" ax.plot(x, cdf_out_group, color='blue', linewidth=1, linestyle='--', label='Type II')\n",
|
|
" #ax.legend(loc='best')\n",
|
|
" # Put legend above plot, from:\n",
|
|
" # https://stackoverflow.com/questions/4700614/how-to-put-the-legend-outside-the-plot\n",
|
|
" fig.tight_layout()\n",
|
|
" box = ax.get_position()\n",
|
|
" ax.set_position([box.x0, box.y0, box.width, box.height - 0.2])\n",
|
|
" # Put a legend below current axis\n",
|
|
" ax.legend(loc='lower center', bbox_to_anchor=(0.5, 1.02), ncol=2)\n",
|
|
"\n",
|
|
" ax.set_xlim((min(x), max(x)))\n",
|
|
" if cdf_out:\n",
|
|
" fig.savefig(cdf_out)\n",
|
|
" else:\n",
|
|
" eer = '<not calculated>'\n",
|
|
" fig, ax = None, None\n",
|
|
"\n",
|
|
" if results_out:\n",
|
|
" results_out.write_text('\\n'.join([\n",
|
|
" f'Results calculated from plots {covar_out.name} / {cdf_out.name if plot_cdf else '<none>'} on {datetime.datetime.now().isoformat()}',\n",
|
|
" f'',\n",
|
|
" *prints\n",
|
|
" ]))\n",
|
|
"\n",
|
|
" return fig_c, ax_c, fig, ax\n",
|
|
" #fig.savefig('../paper/manip_pearson_corr.pdf')\n",
|
|
"\n",
|
|
"#group_a = [val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and key == 'M-SP-PITCH-V2-0003-0.4'][-5:]\n",
|
|
"#group_b = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and re.match(r'M-SP-PITCH-V2-000[1245]-0\\.4', key)}.values())\n",
|
|
"#plot_vector_covar(group_a, group_b, distance_method='corr', smooth=None)\n",
|
|
"\n",
|
|
"group_baseline = [value for value in data['M-SP-PITCH-V2-0010-0.3'] if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.3'][:12]\n",
|
|
"group_probed = [value for entries in data.values() for value in entries if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.3' and 'probe_points' in value['info']['mods']]\n",
|
|
"plot_vector_covar(group_baseline, group_probed, vector_method='norm', distance_method='corr', plot_cdf=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "8590e565-f6a4-4e45-ae5a-cb9314018f77",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Can we distinguish one specimen from other specimens with the same layout?"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 67,
|
|
"id": "1d9b2596-b700-47ef-8533-6b61aef433c7",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.976282\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.98±0.00119 min: 0.978 max: 0.982\n",
|
|
"Cross class: 0.973±0.00256 min: 0.968 max: 0.976\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.097963667345\n",
|
|
"EER: 0.0 th: 0.9783344188685095\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 67,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"group_a = [val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and key == 'M-SP-PITCH-V2-0005-0.4'][-5:]\n",
|
|
"group_b = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and re.match(r'M-SP-PITCH-V2-000[1234]-0\\.4', key)}.values())\n",
|
|
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='distinguish_copies', do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "fede0945-87c8-4a12-8f50-f4893a6cf8b8",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Can we distinguish mesh layout variants?\n",
|
|
"\n",
|
|
"Compare measurements of five specimens of the base layout against measurements of each of the four alternate layouts."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 68,
|
|
"id": "cfb46a92-d059-4f86-98a2-04684dc48e37",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.078150\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.326±0.0803 min: 0.209 max: 0.438\n",
|
|
"Cross class: -0.253±0.368 min: -1.01 max: 0.122\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.184411874207\n",
|
|
"EER: 0.0 th: 0.18489684728102906\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 68,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"group_a = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and re.match(r'M-SP-PITCH-V2-000[12345]-0\\.4', key)}.values())\n",
|
|
"group_b = list({val['info']['mesh_layout']: val for key, values in data.items() for val in values if val['info']['chip'] == 'pi3hdx12211' and 'ALT' in val['info']['mesh_layout']}.values())\n",
|
|
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', fig_out='distinguish_layouts', plot_cdf=True, do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "e22244e4-b6f5-4206-aa36-7f641f37dfbb",
|
|
"metadata": {},
|
|
"source": [
|
|
"#### Same measurement, but show TPD0604 data "
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 69,
|
|
"id": "0e325869-ca39-43ea-af6a-5250b2291143",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.995828\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.997±0.00035 min: 0.996 max: 0.997\n",
|
|
"Cross class: 0.98±0.0243 min: 0.935 max: 0.995\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.252693473932\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 69,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"group_a = list({key: val for key, values in data.items() for val in values if val['info']['chip'] == 'tdp0604' and re.match(r'M-SP-PITCH-V2-000[12345]-0\\.4', key)}.values())\n",
|
|
"group_b = list({val['info']['mesh_layout']: val for key, values in data.items() for val in values if val['info']['chip'] == 'tdp0604' and 'ALT' in val['info']['mesh_layout']}.values())\n",
|
|
"plot_vector_covar(group_a, group_b, do_cal=False)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "0b4655d0-2164-4a01-88a0-41e76d2d934e",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Preliminary attack measurements"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 70,
|
|
"id": "6d7f5196-3161-4e38-aab2-c43e46b6d71f",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978377\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
|
|
"Cross class: 0.564±0.0468 min: 0.495 max: 0.659\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000000\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 70,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_across_traces', 0.3])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 71,
|
|
"id": "43fa4b94-a509-4415-b5b2-a0ba4bfb2695",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978377\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
|
|
"Cross class: 0.434±0.0706 min: 0.351 max: 0.616\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000000\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 71,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_across_traces', 0.4])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 72,
|
|
"id": "3020e256-9eba-4872-b35e-af0a5b0e0642",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978377\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
|
|
"Cross class: 0.32±0.0419 min: 0.248 max: 0.373\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000000\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 72,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_across_traces', 0.6])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 73,
|
|
"id": "a239eab3-26a1-4aff-9cdf-9b3265ac0993",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978377\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
|
|
"Cross class: 0.191±0.0348 min: 0.158 max: 0.264\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000000\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 73,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_across_traces', 1.0])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 74,
|
|
"id": "2f2cae61-d0b7-4a15-8823-8e8f2cbcad9e",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978377\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
|
|
"Cross class: 0.697±0.0449 min: 0.634 max: 0.766\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000204\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 74,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "iVBORw0KGgoAAAANSUhEUgAAASIAAADyCAYAAADp98gtAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjMsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvZiW1igAAAAlwSFlzAAAPYQAAD2EBqD+naQAAHlxJREFUeJzt3X9QXOW9P/D32QV2o8mSKrohZpPQ1kRumGoLbYWYtv6YzWD1Vq9VnMwkNQUrd6c6BBOnNLdNZGx39GspVgM1FcpEc79mNPFOndLq9moUpY6FYkdNamy13ZUsYUC7hCbswu5z/8DdsmE5Px5YTg6+XzPPOJ5zPvvsCeGT5zzn+aEIIQSIiExkM/sLEBExERGR6ZiIiMh0TEREZDomIiIyHRMREZmOiYiITMdERESmYyIiItNlJRFFo1Hs3r0b0Wg0Gx//iavPjDoXen1m1GnGPVqGyIJIJCIAiEgkko2P/8TVZ0adC70+M+o04x6NeOmll8R1110nCgsLBQDxzDPPaMYcPnxYfOELXxAOh0MUFRWJ1tZWqbr5aEZEAIB//vOfuPTSS/HII4/ouv7999/Htddeiw0bNqCvrw/f//73cdddd+HgwYOG684xHEFEC1JlZSUqKyt1X//zn/8cK1euRHNzMwCguLgYPT09ePDBB3HTTTcZqls6ESUSCRw/fhxLliyBoihp50ZGRtL+m20LvT4z6lzo9ZlRp1p9QgicPHkSy5cvh82m/aAyNjaGWCymeZ0QYtrvp8PhgMPh0PmtZ/b73/8eXq837djGjRvR1taG8fFx5Obm6v8wqQc6IUQoFBIAWFhY5rCEQiHN373Tp0+LxRcu0/V5ixcvnnZs165dmnUA2n1EF198sfjRj36UduzVV18VAMTx48c165hKukW0ZMkSAMC2PwbhWOwyFBsfnf+3BmKel10a3HSjVNwJz5VScRcED0vFAUBMGPiXa4pxRS7u1MrLpeJyjr8lFTeev0IqDgDOGT4mFTe2uNDQ9RPxGH73p/+f+r1SE4vFMDo4gG1/CMKxZObfvejJEfz0iysRCoXgcv3rurloDSWd2dpK/p6deVyLdCJKVuRY7IJT5Q8jkwnFhESUmN9ElGeX+6PNzXHOa30AIP3vkWQiys2Vu8ccu1x9yJH/xcuVrDNuz5OKM/IL7Dh3CRznqiSuj//Ou1yutEQ0V5YtW4aBgYG0Y4ODg8jJycH5559v6LPYWU1kUWIiDjERVz2fTeXl5Xj22WfTjj3//PMoKysz1j8EjqwmsiyREJrFiNHRUbzxxht44403AEy+nn/jjTcQDAYBAA0NDdiyZUvq+traWvz9739HfX09jh49ivb2drS1tWH79u2G74UtIiKL0ko2RhNRT08PrrzyX32U9fX1AIBvfetb6OjoQDgcTiUlACgqKkJnZye2bduGPXv2YPny5fjZz35m+NU9YCARRaPRtKHp8/malYgyECLVDzTjeQO+9rWvqb7U6ejomHbsq1/9Kv74xz8aqicT3Y9mfr8f+fn5qeLxeGZdORHJE4mEZrEK3YmooaEBkUgkVUKhUDa/FxFpEBMJzWIVuh/N5mo0JhHNjbnuIzITO6uJLIqJiIjMl9DorGYiIqJsS0zEkVAZtKh27mwz60QUH40anrKRs1iur2liFnPUFJuxuS+zZYfkv0aK3BhTmyL/r59dyP2FnRCSnaGS9zjvcQAUyN2jMFin0esng6Dx+t74R5qFLSIii2IfERGZTgihOgBxvlecmA0mIiKrYmc1EZmNndVEZD62iIjIbOysJiLTMRERkemE0EhEfGtGRNkm4nGIuMpSsSrnzjZMRERWpbUcLB/NiCjr+NaMiMzGzmoiMh2neMyS7Cx62Vn7ABA/NS4VJ7vu77iY35ni4wn5GeYCcisTKLLTu3Xs7Z5Jwia5weIsNp+UZvjnaPzPREwI1eVgxYR1EhH3NSOyqGwtnt/S0oKioiI4nU6Ulpaiq6tL9fo9e/aguLgYixYtwtq1a7Fv3z7DdfLRjMiqhFDfMkji0ezAgQOoq6tDS0sL1q9fj0cffRSVlZU4cuQIVq5cOe361tZWNDQ04Be/+AW++MUv4vXXX8ftt9+OT33qU7j++ut118sWEZFFJQc0zlgkElFTUxOqq6tRU1OD4uJiNDc3w+PxoLW1NeP1jz/+OO644w5UVVXh05/+NG699VZUV1fj/vvvN1QvExGRVSVf36sVTG6GOrVM3Sh1qlgsht7eXni93rTjXq8X3d3dGWOi0SicTmfasUWLFuH111/H+Lj+flkmIiKLSsQTmgUAPB5P2uaofr8/4+cNDQ0hHo/D7XanHXe73RgYGMgYs3HjRjz22GPo7e2FEAI9PT1ob2/H+Pg4hoaGdN8L+4iIrCqRmCxq5wGEQiG4XK7UYa39CRUl/S2qEGLasaQf/OAHGBgYwOWXXw4hBNxuN2677TY88MADsNvtOm/EQIsoGo1Oa+IRkXlU+4emDHZ0uVxpZaZEVFBQALvdPq31Mzg4OK2VlLRo0SK0t7fj1KlT+Nvf/oZgMIjVq1djyZIlKCgo0H0vuhOR3+9Pa955PB7dlRDR3NObiPTKy8tDaWkpAoFA2vFAIICKigrV2NzcXKxYsQJ2ux1PPvkkrrvuOtgMjBfTfWVDQ0Nq3/tIJIJQKKS7EiLKguTre7ViUH19PR577DG0t7fj6NGj2LZtG4LBIGprawFM5oEtW7akrj927BieeOIJvPvuu3j99ddx66234q233sKPf/xjQ/Xq7iNyOByaz5ZENH8SEwkkVEZWq52bSVVVFYaHh9HY2IhwOIySkhJ0dnZi1apVAIBwOIxgMJi6Ph6P4yc/+Qneeecd5Obm4sorr0R3dzdWr15tqF52VhNZlUhMFrXzEnw+H3w+X8ZzHR0daf9fXFyMvr4+qXqmYiIisigh1GfYW2jOKxMRkVVxGRAiMp2IJyDiKrPvVc6dbWadiLQW8M5EscktOyG7lAcA2M+RW0JCdskSaZLP9ZJ/pJNVSrbhpZcBiU/IxZlCcomUhLF7VITEn4nOAY1WwBYRkUVxYTQiMh37iIjIfFlYj8gsTEREFiUm4hATKvuaqZw72zAREVmVRh8RW0RElH1CY18zJiIiyja+NSMi02nt1CG7i4cZmIiILErEhcbIaraIiCjb+PqeiMzGRzMiMh9bRERkNk7xMMlsmpqys+hzFsstj5urzG+z2D6L+iaE3F+DhOy2eIpcnJKY/5HCipCrU9iM/ZnK/N0W8ThEXGVktcq5s42lEhERTZGlpWLNwEREZFFaa4FxQCMRZV9CY4oH+4iIKNuESECoPH6pnTvbSPY2EpHZkp3VakVGS0sLioqK4HQ6UVpaiq6uLtXr9+/fj0svvRTnnHMOCgsLsXXrVgwPDxuqk4mIyKqSj2ZqxaADBw6grq4OO3fuRF9fHzZs2IDKysq0TRWneuWVV7BlyxZUV1fj7bffxlNPPYU//OEPqKmpMVSv7kQUjUYxMjKSVojIPJOz7xMqxXgiampqQnV1NWpqalBcXIzm5mZ4PB60trZmvP61117D6tWrcdddd6GoqAhXXHEF7rjjDvT09BiqV3ci8vv9yM/PTxWPx2OoIiKaYzpbRGc2IKLRzGPqYrEYent74fV60457vV50d3dnjKmoqMAHH3yAzs5OCCFw4sQJPP300/j6179u6FZ0J6KGhgZEIpFUCYVChioiojmWHEekVgB4PJ60RoTf78/4cUNDQ4jH43C73WnH3W43BgYGMsZUVFRg//79qKqqQl5eHpYtW4alS5fi4YcfNnQrut+aORwOOBxyo4yJaO7pHVkdCoXgcrlSx7V+jxUlfS83IcS0Y0lHjhzBXXfdhR/+8IfYuHEjwuEwduzYgdraWrS1tem9Fb6+J7IqITRm33/cInK5XGmJaCYFBQWw2+3TWj+Dg4PTWklJfr8f69evx44dOwAAn/vc53Duuediw4YNuO+++1BYWKjrXvjWjMiqdD6a6ZWXl4fS0lIEAoG044FAABUVFRljTp06BZstPY3Y7fbJr2egs5wtIiKrysLI6vr6emzevBllZWUoLy/H3r17EQwGUVtbC2Cyr7i/vx/79u0DAFx//fW4/fbb0dramno0q6urw5e+9CUsX75cd72zTkSDm25Ent3Yx9gl90wfF/PfgJOdRV/4vy9LxVU9UCkV97/Nz0nFAcCO9/5TKm5sVG4P+ze7DkvFPfn+aam426+QH2pS9u8rpeLefjFs6PrRsXE812usDhGfgLDN/DMQceM/n6qqKgwPD6OxsRHhcBglJSXo7OzEqlWrAADhcDhtTNFtt92GkydP4pFHHsHdd9+NpUuX4qqrrsL9999vqF62iIisSgiN2fdy/+D7fD74fL6M5zo6OqYdu/POO3HnnXdK1ZXERERkUVwYjYjMx/WIiMh0icRkUTtvEUxERFYVnwBUOqsh0VltFiYiIotaSOsRMRERWRW3EyIi0wmNPiK2iIgo6/jWjIhMF48DilpnNfc1I6JsY4uIiEzHcUREZDq2iP7lhOdK5OY4jQVJ7n0uHQfM+w9Fdhb9y/f8RiruK/dtlIoDgLtfGJOKO7H0Mqm4skOPS8VdenSDVNx//89HUnEA8PSzH0rFffQdY0ulxuyjAH5trBImIiIyXXwCUOzq5y2CiYjIqtgiIiLTZWk9IjMwERFZFVtERGQ2JSGgqCx+pnbubMNERGRVYgJIqLxJFguwszoajaZtVTsyIr8gORHNgQX0aKZ7YI7f70/bttbj8WTzexGRBkUkNItV6E5EDQ0NqX3vI5EIQqFQNr8XEWmZ4w0Wk1paWlBUVASn04nS0lJ0dXXNeO1tt90GRVGmlXXr1hmqU3cicjgcqa1r9W5hS0TZo4i4ZjHqwIEDqKurw86dO9HX14cNGzagsrIybS+zqR566CGEw+FUCYVCOO+883DzzTcbqpdbThNZVXIc0YzF+FuzpqYmVFdXo6amBsXFxWhubobH40Fra2vG6/Pz87Fs2bJU6enpwUcffYStW7caqpeJiMii9PYRjYyMpJWpL52misVi6O3thdfrTTvu9XrR3d2t6zu1tbXhmmuuSe0MqxcTEZFVJdesVisAPB5P2osmv9+f8eOGhoYQj8fhdrvTjrvdbgwMDGh+nXA4jN/85jeoqakxfCuzHkd0QfAw8uzGPsamyA20GlcbM6FZp1ycXZHr8JPdi152Fv3v/0uuPgD42TerpeL+ER6SivvTvXL3eKhf7ue/9YYlUnEAUHGz3Nvhvs5GQ9ePjo3D6JoEWm/GkudCoVBan67D4VD/XCX9l0UIMe1YJh0dHVi6dCluuOEGzWvPxAGNRBY12SE9c3JOdlbrfblUUFAAu90+rfUzODg4rZV0JiEE2tvbsXnzZuTl5en49un4aEZkVXP8+j4vLw+lpaUIBAJpxwOBACoqKlRjX3rpJfzlL39BdbVc65otIiKLUiCgQGWumcq5mdTX12Pz5s0oKytDeXk59u7di2AwiNraWgCT4wn7+/uxb9++tLi2tjZ8+ctfRklJieE6ASYiIsvS20dkRFVVFYaHh9HY2IhwOIySkhJ0dnam3oKFw+FpY4oikQgOHjyIhx56yHB9SUxERJYlPi5q543z+Xzw+XwZz3V0dEw7lp+fj1OnTknVlcRERGRRNhGHTaWz2iYxstosTEREFpWNPiKzMBERWZQC9WQjOXTOFExERBbFFhERmU4RAorKxFa1c2cbJiIii1IQh03lAUwBO6uJKMsUqPcDsY+IiLJOUQQUlQnkaufONkxERBbFzuopYiIXQhj7GLvkQCsxi8amkOy4mzB4b0k73vtPqbi7XxiTipNdygMA/t8lbVJxPU0PSsUV/vVXUnHV/5EvFddxKCIVBwB7cm6Sipt46qeGrh+Pjxuug4mIiExng4BNJdmonTvbMBERWRT7iIjIdGwREZHp+PqeiEz3iXw0i0ajaduQjIyMZOULEZE+dkXArpJs1M6dbXSvWe33+9O2JPF45HY3IKK5oSjaxSp0J6KGhobUvveRSAShUCib34uINCQ7q9WKVeh+NHM4HJr7IRHRPNJq9VioRcTOaiKLsiuTRe28VTAREVmUTRGquybL7qhsBm6wSGRR2eqsbmlpQVFREZxOJ0pLS9HV1aV6fTQaxc6dO7Fq1So4HA585jOfQXt7u6E62SIisiibMlnUzht14MAB1NXVoaWlBevXr8ejjz6KyspKHDlyBCtXrswYc8stt+DEiRNoa2vDZz/7WQwODmJiYsJQvbNORONKLqDkGoqZkNj4DZjdbGLZ2IRko3Fs1NgPIunE0suk4v4RHpKKA+Rn0Zft3S5X341/l4qz58jFXZQvv1Jh36G9UnE5G79j6HoRPQUc+52hGK1Wj0yLqKmpCdXV1aipqQEANDc347nnnkNrayv8fv+063/729/ipZdewnvvvYfzzjsPALB69WrD9fLRjMii7DbtAkwOPp5apg5MnioWi6G3txderzftuNfrRXd3d8aYX/3qVygrK8MDDzyAiy66CGvWrMH27dtx+vRpQ/fCRzMii9L7aHbm4ONdu3Zh9+7d064fGhpCPB6H2+1OO+52uzEwMJCxjvfeew+vvPIKnE4nnnnmGQwNDcHn8+HDDz801E/ERERkUTZoJKKP/xsKheByuVLHtcYDKmc80wkhph1LSiQSUBQF+/fvR37+5MJ1TU1N+OY3v4k9e/Zg0aJFmvcBMBERWZbePiKXy5WWiGZSUFAAu90+rfUzODg4rZWUVFhYiIsuuiiVhACguLgYQgh88MEHuPjii7VvBOwjIrIsRfnX41mmYrSzOi8vD6WlpQgEAmnHA4EAKioqMsasX78ex48fx+joaOrYsWPHYLPZsGLFCt11MxERWZTezmoj6uvr8dhjj6G9vR1Hjx7Ftm3bEAwGUVtbC2ByzumWLVtS12/atAnnn38+tm7diiNHjuDll1/Gjh078O1vf1v3YxnARzMiy8rGOKKqqioMDw+jsbER4XAYJSUl6OzsxKpVqwAA4XAYwWAwdf3ixYsRCARw5513oqysDOeffz5uueUW3HfffYbqZSIisqhsjCMCAJ/PB5/Pl/FcR0fHtGOXXHLJtMc5o5iIiCzKpiiwqWQbtXNnGyYiIovKVovIDExERBaVY58sM563zuR7JiIiq1IUZcaBhsnzVsFERGRR2XhrZpZZJ6JTKy9Hbq7TWJAiOXzJNothT3G52fCy3/XNrsNScWWHHpeK+9O9G6XiAPm96GVn0Zc987BUXPfmK6TihkblfyPX5PXL1bnG2OYSsdOj2hedyabx19NCowTZIiKyKLaIiMh0dkWBXSXb2NlHRETZpmg8msn2gJiBiYjIojigkYhMxz4iIjLdJ/LRLBqNpq11OzIykpUvRET62G0andUWahLpzpl+vx/5+fmpcuY6uEQ0v5ItIrViFbq/akNDAyKRSKqEQqFsfi8i0pDsrFYrVqH70czhcGguuk1E80hrOVjr5CF2VhNZld2uwG5X6SNKWCcTMRERWRTXIyIi09lsCmwqb8bUzp1tZp2Ico6/hRx7rrEgye78hM1gPXNAScjtm/7k+8a23E269OgGqbhD/fKvSKr/I1/7ogxk96KXnUX/j8dfkYpbd/tXpOIA4N/WLZGKG3xth6HrT8UmYHTdBQUaLSKDn2cmtoiILIotIiIync2mvkTXbJbvmm8W+qpENFWyRaRWZLS0tKCoqAhOpxOlpaXo6uqa8drDhw+nlqydWv785z8bqpMtIiKLysZbswMHDqCurg4tLS1Yv349Hn30UVRWVuLIkSNYuXLljHHvvPMOXC5X6v8vuOACQ/WyRURkUZlaImcWo5qamlBdXY2amhoUFxejubkZHo8Hra2tqnEXXnghli1blip2u8r2IhkwERFZlN65ZiMjI2ll6uT1qWKxGHp7e+H1etOOe71edHd3q36Xz3/+8ygsLMTVV1+NF1980fC9MBERWZTt45HVMxXbx6OuPR5P2oR1v9+f8fOGhoYQj8fhdrvTjrvdbgwMDGSMKSwsxN69e3Hw4EEcOnQIa9euxdVXX42XX37Z0L2wj4jIovT2EYVCobT+G605o2c+0gkhZnzMW7t2LdauXZv6//LycoRCITz44IP4ylf0j99ii4jIohSbolkAwOVypZWZElFBQQHsdvu01s/g4OC0VpKayy+/HO+++66he2EiIrKo5FKxasWIvLw8lJaWIhAIpB0PBAKoqKjQ/Tl9fX0oLCw0VDcfzYgsSoHGltMSkzzq6+uxefNmlJWVoby8HHv37kUwGERtbS2AyXXJ+vv7sW/fPgBAc3MzVq9ejXXr1iEWi+GJJ57AwYMHcfDgQUP1MhERWZRtSof0TOeNqqqqwvDwMBobGxEOh1FSUoLOzk6sWrUKABAOhxEMBlPXx2IxbN++Hf39/Vi0aBHWrVuHX//617j22msN1ctERGRR2Zri4fP54PP5Mp7r6OhI+/977rkH99xzj1xFU8w6EY3nrwByDK7cKLuYrt06efP2K+Q2F/jv//lIKm7rDXKzxAGg41BEKu6ifLmVCWT3opedRR/+hbFXyVM9d81NUnGXLDL2c4zGJwzXMfnWTOXRzDpzXtkiIrKqT+R2QkR0dtGaxiEzxcMsTEREFmXPUWDPUVmzOs5ERERZxjWrich0U0dPz3TeKpiIiKzqk7ivWTQaTVs+YGRE7vU0Ec0Nm6KxZrWFns10v+Dz+/1pSwl4PJ5sfi8i0pAcWa1WrEJ3ImpoaEjtex+JRBAKhbL5vYhIg97Z91ag+9HM4XBormNCRPOHb82IyHTc14yITJeN2fdmYSIisijONSMi03FA4xTnDB9Drj3XUIyCxGyrlSD3Q1GE3FIXZf8+82Z0ap5+9kOpuIqb5YdT7MmRW+qi79Beqbg1ef1Scf+2Tm6pE9mlPADgc78zttJg0sA1GwxdH4sLw3VoLQdroTzEFhGRVSmKRovIQq/NmIiILIqd1URkPq1BixZ6NmMiIrKobK1ZbQYmIiKLWkhvzSyUM4loquQUD7Uio6WlBUVFRXA6nSgtLUVXV5euuFdffRU5OTm47LLLDNfJRERkUbYcm2Yx6sCBA6irq8POnTvR19eHDRs2oLKyMm0vs0wikQi2bNmCq6++Wu5epKKIyHTJPiK1YlRTUxOqq6tRU1OD4uJiNDc3w+PxoLW1VTXujjvuwKZNm1BeXi53L1JRRGS65JbTM5aPB/GOjIyklakLHE4Vi8XQ29sLr9ebdtzr9aK7u3vG7/HLX/4Sf/3rX7Fr1y7pe2EiIrKo5FwztQIAHo8nbVFDv9+f8fOGhoYQj8fhdrvTjrvdbgwMDGSMeffdd/G9730P+/fvR06O/LsvvjUjsii9b81CoRBcLlfquNa6YmeOyBZCZBylHY/HsWnTJtx7771Ys2aNka8+DRMRkUVp7mv28TmXy5WWiGZSUFAAu90+rfUzODg4rZUEACdPnkRPTw/6+vrw3e9+FwCQSCQghEBOTg6ef/55XHXVVbruhYmIyKImH7/UWkTGPi8vLw+lpaUIBAK48cYbU8cDgQC+8Y1vTLve5XLhzTffTDvW0tKCF154AU8//TSKiop01z3rRDS2uBBxe56hGCG7UMosFlhREhNSccIm90f09othqbiPvvOwVFxfZ6NUHABMPPVTqbicjd+RihtaI7dSwOBrO6TiLln0kVQcYHwWfdKy3+kbe5M0dnIEWLPUUEw2BjTW19dj8+bNKCsrQ3l5Ofbu3YtgMIja2loAk2vX9/f3Y9++fbDZbCgpKUmLv/DCC+F0Oqcd18IWEZFFZWPN6qqqKgwPD6OxsRHhcBglJSXo7OzEqlWrAADhcFhzTJEMJiIii1I01qyWneLh8/ng8/kynuvo6FCN3b17N3bv3m24TiYiIouy2RXYVDqruQwIEWXdQpr0ykREZFGfyGVAotFo2tDwkZGRrHwhItJnIbWIdOdMv9+fNkzc45FfrJ2IZm8hbTmtOxE1NDSk9r2PRCIIhULZ/F5EpCE5slqtWIXuRzOHw6E5R4WI5s9CejRjZzWRRXGnVyIyHfc1IyLT6Z19bwXSiUiIyS1yJ+Ix47HSbcZZTHoVkpNeE3LbY4+OjUvFxeyj81ofAIzH5WJF9JRUXOy03D2eisn9DKNxuThAbito4ONJrAZERyevT/5e6XHy9Lhqi+jkafm/E/NNEUbufIoPPviAr/CJ5lgoFMKKFStUrxkbG0NRUdGMqyZOtWzZMrz//vtwOp1z9RWzQjoRJRIJHD9+HEuWLJn2LDoyMgKPxzNtZbhsWej1mVHnQq/PjDrV6hNC4OTJk1i+fDlsOoZEj42NIRbTfhrJy8s765MQMItHM5vNppm59a4MN1cWen1m1LnQ6zOjzpnqy8/P1/0ZTqfTEglGLwu94COihYqJiIhMl5VE5HA4sGvXrnkbib3Q6zOjzoVenxl1mnGPViHdWU1ENFf4aEZEpmMiIiLTMRERkemYiIjIdExERGQ6JiIiMh0TERGZjomIiEz3fwuW6F60B/iDAAAAAElFTkSuQmCC",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_vector_covar(mod_baseline[0.3], mod_modified['open', 0.3])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 75,
|
|
"id": "5d284aae-5b02-4670-b571-7ab6772c836b",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978377\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
|
|
"Cross class: 0.554±0.0429 min: 0.497 max: 0.653\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000000\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 75,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_vector_covar(mod_baseline[0.3], mod_modified['open', 0.4])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 76,
|
|
"id": "cde79668-ed47-4e87-9d21-43bc7253820e",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978377\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
|
|
"Cross class: 0.38±0.0898 min: 0.28 max: 0.549\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000014\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 76,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_vector_covar(mod_baseline[0.3], mod_modified['open', 0.6])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 77,
|
|
"id": "cea0663e-1b3d-48e5-8329-37b020b6f0f0",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978377\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
|
|
"Cross class: 0.271±0.0861 min: 0.2 max: 0.454\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000000\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 77,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_vector_covar(mod_baseline[0.3], mod_modified['open', 1.0])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 78,
|
|
"id": "9a715c1a-2caa-4ecb-a182-c94c979dda9e",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.998775\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.999±0.000201 min: 0.999 max: 1\n",
|
|
"Cross class: 0.937±0.0919 min: 0.736 max: 0.999\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.251223299160\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 78,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_within_trace', 0.3], distance_method='corr', vector_method='norm', smooth=1e-5)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 79,
|
|
"id": "1b0a2d88-8022-4ff7-828a-8651a91514d6",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Baseline threshold set at 0.933097\n",
|
|
"Within class: 0.999±0.000772 max: 1\n",
|
|
"Cross class: 0.867±0.21 max: 1\n",
|
|
"Baseline false negative probability: 0.000000000000\n",
|
|
"Baseline false positive probability: 0.376374353664\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_covar(mod_baseline[0.3], mod_modified['short_within_trace', 0.3], select_trace='open_fwd', select_channel='adc1', smooth=1e-5)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 80,
|
|
"id": "5560ec94-f8d9-4828-a75f-d006416733bd",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978377\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
|
|
"Cross class: 0.635±0.0628 min: 0.514 max: 0.704\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000021955\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 80,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_within_trace', 0.4])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 81,
|
|
"id": "9f626678-0b7e-4c37-86ca-d1c2746e6c20",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978377\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
|
|
"Cross class: 0.346±0.00811 min: 0.326 max: 0.354\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000000\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 81,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_within_trace', 0.6])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 82,
|
|
"id": "a25858aa-b730-4898-bc83-8e3bc54cb36c",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978377\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.983±0.00138 min: 0.98 max: 0.985\n",
|
|
"Cross class: 0.264±0.0184 min: 0.233 max: 0.304\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000000\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 82,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_within_trace', 1.0])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "70dffb1c-834e-4d14-a0b4-4c899ff8b3c7",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Can we detect a short within the same trace?"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 83,
|
|
"id": "a9fce3aa-2108-48e5-afae-c3f1e75c7db3",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.974230\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.98±0.00188 min: 0.975 max: 0.983\n",
|
|
"Cross class: 0.886±0.106 min: 0.699 max: 0.982\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.202356316486\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.872507\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.907±0.0112 min: 0.873 max: 0.931\n",
|
|
"Cross class: 0.402±0.505 min: -0.462 max: 0.914\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.176007873311\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.593452\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.7±0.0346 min: 0.617 max: 0.761\n",
|
|
"Cross class: 0.737±0.142 min: 0.54 max: 1.14\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.844643997379\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at -0.047185\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.306±0.114 min: 0.0385 max: 0.475\n",
|
|
"Cross class: -1.02±0.869 min: -2.71 max: 0.376\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.132179963742\n",
|
|
"EER: 0.1 th: 0.16202359180434342\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 83,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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YTEJEhgriFv3evXvR0NCAxsZGVFZWoq2tDfF4HO3t7XPG/+pXv8LatWuxY8cOVFRU4GMf+xgef/xx9PX1iY/JJERkqJClPDdgqrD40u3SouNLTUxMoL+/H7W1tTmv19bWore3d86fqa6uxsmTJ9Hd3Q2lFD744AO8+uqr+Mxn5EMATEJEhrIs7w0A4vF4TqFxa2vrnO0NDw/DcRyUl5fnvF5eXo7BwcE5f6a6uhqvvPIK6uvrEYlEsHz5cpSWluLb3/62+DyYhIgMNT0w7bYBQCKRyCk0bmlpcW3XumxNK6XUrNemvfPOO9ixYwd27dqF/v5+/OxnP8OJEyewfft28XnwFj2RqS7p7cy3HwCKi4tRXFzs2VxZWRlCodCsXs/Q0NCs3tG01tZW3HvvvfjqV78KAPjIRz6CpUuXoqamBt/85jexYsUKz+OyJ0RkqJDlvfkRiURQVVWFnp6enNd7enpQXV0958+MjY3BtnPTSCgUAjDVg5JgT4jIULalYLvcAXPbN5/m5mZs2bIFGzZswMaNG7F//34MDAzMXF61tLTg1KlTOHDgAADgwQcfxGOPPYb29nZs2rQJyWQSO3fuxEc/+lGsXLlSdEwmISJDWR6XYz6WK59RX1+PM2fOYPfu3Ugmk1i3bh26u7uxZs0aAEAymcypGdq2bRtGR0fx0ksv4ctf/jJKS0vxyU9+Es8++6z4mExCRIayLfcCex/F9zmamprQ1NQ0576urq5Zrz3xxBN44oknFnYw5CEJLVtThsiSIs84S/qJLPST85CdlK0yZwunAgBAVjhtAgDscEgcK38Dsu629KkYgHwqBgDEH74z721Gbwxg2kbp3IOqc0m+e1wcW1Rzsyhu8PioZ8zo2KT4uNOC6AnpwJ4QkaFC9tQ2734z5q8yCRGZKqjLsauNSYjIUDY8ktBVeydXhkmIyFAcEyIirSyPyzEmISIKlOfAtCHXY0xCRIbiwDQRacUxISLSyrYs2C6Zxm3fYnLFSUg5DpTjXY3spGXVxc4FeXVvKCZcPB6AElYXT05k5McvjIhjsz7alZJWoYfD8sEBP4vSSyuhpZXVAHC6+3/FseHiQlGcmhwXtxmJyT+rzNjcKxTOOr4kZgGFhewJEZFWBaGpbd79rJgmoiBZljXviofT+03AJERkKN4dIyK9bMD1WZ2sEyKiILEnRERahSwLIZdME+KYEBEFyfK4HHO9VFtEmISIDMViRSLSimNCRKQVL8cuCpcsRWTpUu9AYVoWL4gP+VQMAOJF4YP650N6Xn7OyS6Qfcv+NCSbXgAAkVvkC81LF6X3MxVj5QN/I479869PiuIi8b8Wtzk82CuOjd3n/VRTADj7mwueMefG/S90H7I9BqYN6QqxJ0RkKPaEiEgrDkwTkV4es+hhRg5iEiIyVShkIRRyGRPKmpGFmISIDMX1hIhIK9u2YLvcAXPbt5gwCREZyoJHT+iqvZMrwyREZCj2hIhIK9ue2tz2m4BJiMhQ7AldFFoSQWiJ/KkTXpwx+dM27IjLKt+XkU6H8DVtwsfxpdNGLOFUDACwhP/URSLyL6Pl47Gd0ljpUzEA+VQMACi9fZUo7sQ/y6etqJghq8ODd8eISDMudE9EWnHuGBFpZXtUTNsu+xYTcRJKp9NIp/9ybZ1KpQJ5Q0Qkc62MCYk7bK2trSgpKZnZ4vF4kO+LiDxYtuW5mUCchFpaWjAyMjKzJRKJIN8XEXmYXt7VbTOB+HIsGo0iGo0G+V6IyAcLHnfHDJm4wYFpIkPZIct18PmaG5gmosWF0zYuerejG+GIoCJWySpRQ0sEi+ZflM3IFwfPjo+L4uyI/JJTORlxrBUSftR+LuSFVdi3pBxxk8OvHpTHlpaL4tSk7LMH/C1KL62EXv9cg7jNt/++U378f/kvUVzBHd7ZoCDjP2NM3R1zK1b03aQW7AkRGYrFikSkFadtEJFWoQILoQKXNaYdJiEiCtC1UjHNJERkKK+qaFMqppmEiEzF544RkU625bGyoiHXY4bcxCOiy01XTLttC7Fv3z5UVFQgFouhqqoKhw8fnjd227ZtM3fpLt1uu+02+Xks6F0SkXZBzKI/ePAgdu7ciSeffBJHjx5FTU0N6urqMDAwMGf8iy++iGQyObMlEgnceOONeOSRR8THZBIiMtT03TG3za+9e/eioaEBjY2NqKysRFtbG+LxONrb2+eMLykpwfLly2e2vr4+nD17Fl/4whfEx7ziMaHPWwexxPJuRlq9aU0Gcx2rwtKF7uVt+qlIDQVwp8IRToX50D03iNv81M2nxLHJd4+L4iIx+Qc1PNgrjpUuSu9nKkb6X/9HHLu15X5R3J9OxTxjzqflU5CmSZ+2cfkChPOtiDExMYH+/n587Wtfy3m9trYWvb2y30tHRwfuv/9+rFmzRhQPsCdEZCzpmFA8Hs9ZkLC1tXXO9oaHh+E4DsrLc+cElpeXY3Bw0PP9JJNJ/PSnP0VjY6Ov8+DdMSJDSeeOJRIJFBcXz7zutS7Y5dM9lFKiKSBdXV0oLS3FQw895Bl7KSYhIkNJixWLi4tzktB8ysrKEAqFZvV6hoaGZvWOLqeUQmdnJ7Zs2YJIxN9zCHk5RmSofC/vGolEUFVVhZ6enpzXe3p6UF1d7fqzhw4dwh//+Ec0NMiXTZnGnhCRoSzLoye0gNtjzc3N2LJlCzZs2ICNGzdi//79GBgYwPbt2wFMrTV/6tQpHDhwIOfnOjo6cPfdd2PdunW+j8kkRGSoIJZ3ra+vx5kzZ7B7924kk0msW7cO3d3dM3e7ksnkrJqhkZERvPbaa3jxxRd9Hw9gEiIyl1dB4gLLQpqamtDU1DTnvq6urlmvlZSUYGxsbEHHApiEiIzFNaaJSCsu5UFEWnFRs4uONLyM6DLvGgSrQNY3VBkf8yYCyPR+jh/IvzQ+2rSFn+ktuzaL2+y9/wVxbFHNzaK4zJjsqRgAELvP+7vkl/SpGIB8KgYA/Lr1P0Vxf9f5kGdMtkA2BeVSdoHt+h2Qfj90Y0+IyFAcEyIirfgYaCLSis8dIyKteHeMiLTyfO6Yy77FhEmIyFBTl2NuPaGr+GauAJMQkaF4OUZEWrFYkYi0sjzWmL5uekKPHP4ilsXCnnHSDyTryCtH/WT6II7vh8rK2vXzxZG2mb69RNxm49/KF4UfPD4qivPziZ79zQUf0TIFd8gHRySL0k+TVEIDwL//w795xoyPpoBnSsXHBi4u5eEy+LzQ545dbewJERmKY0JEpBWnbRCRVuwJEZFWTEJEpBUrpolIK/aEiEgrzqInIq2CeO6YDkxCRIa67seElJqqgz0/PimKZ8W0vorpibQjbjN1bkIcOzom+90rHx/pOeH3yY+CjPy65HxafnzputDjoynPmPS5qRjl48MavTDp+n0ZvZD/zzIIlvJz1pc4efIk4vF4vt8P0XUtkUhg1apVrjHj4+OoqKjA4OCgZ3vLly/HiRMnEIvJp6NcbQtOQtlsFqdPn0ZRUdHMtWcqlUI8HkcikUBxcf6fmqADz8kMpp+TUgqjo6NYuXIlbEGp8/j4OCYmvHutkUhkUScg4Aoux2zbnjdjFxcXG/lFcMNzMoPJ51RSIp9oHIvFFn1ykTLkJh4RXauYhIhIq7wmoWg0iqeeegrRaDSfzWrFczLDtXhO14sFD0wTEeUDL8eISCsmISLSikmIiLRiEiIirZiEiEgrJiEi0opJiIi0YhIiIq3+H0rDVWjxcfFoAAAAAElFTkSuQmCC",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x300 with 2 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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XcmVOXAD/afCXXc0FhtidIcxC9+yI6dt++ABd5u93nuZj89xC+37jUrrMpsQZOjZ9VQ0de6qhnSzzpDHGLYZvRDlEZ7WxMzsCVCMSiTF1VouIdaoRiYh1qhGJiHWeQ3RWR38TDyUikThziBqRmmYiUlXqIxIR69RHJCLWKRGJiHWe68AzZBrT61GgRCQSY+ojmuT9LQfPS5rjxoep8mqGR+lzByHmFdePcFMMhh1+ectP1b1Lx564wE8b6Bvjpq44Pr/Qf109N20C4Be6DzNtY8MBfuuatz/zBSrOHyjSZZ7nbx9jRf55d10/tyg/NRsnxDSgCtedOEwxUacakUiMqY9IRKyr7DNmiok6JSKRGHM9wDM0O92PwzIgImKPmmYiYp2aZiJinQuiRrQgVzI3SkQiMea4E4cpJuqUiERiLOE6SBiqRKbXo0CJSCTGVCMSEevUWT3JX34j/Jpac2DdEqq8Uv4ifW5ngI8daclygRfP0mX+NnMtHRvUclNcANB/wrzma+gi128+Qsfe/rv3qTh2tw2An7YBALe8/J/c+b+8hy6z9+zf6Nh1G/ndQUb+uI6Ku/GuLmNMYahEn7dCj+9FxDo1zUTEOpdYBsSNQZVIiUgkxjT7XkSsU2e1iFinhdFExDrXdYx9QOojEpGq8lwHnmdYs7qsRCQiVaSmmYhYp0Q0qW7tDahJ1Rvj/BI3ajTR1EyfOwiuo2PdBLd4famGX+Tea0jTseVCPx3rLmmk4upXr6TLPLD/WTr22MAKKs5v5Ecgh1nonh0xveGXj9Flnv30XXTsfx/kR9cnWj9Lxb3y7GFjzHBpnD5vhfqIRMQ61YhExDrXc+AaOqtNr0eBEpFIjLmOA9dQ5TG9HgVKRCJxRkx6jcNasXQiKhaLKBY/6HAsFApVuSAR4S2WPiI6V3Z2diKTyUwd2Sy5vo+IVI3jOtQRdXQi6ujoQD6fnzpyuVw1r0tECJ4zsQzIjEcMqkR00yyVSiGVSlXzWkQkJC2MJiLWLZZlQGKQK0Xko1QWRjMd1XDq1Cncd999WLNmDerq6nDddddh7969KJGzKC415xpRcPgXCDzztIh6f4gq75PX8lMB/tDLX36dxw2fX7U0oMt8512+qbo0xd9XfynJxb3FT7F42VtFx65L/pmKa0qcocs8z6+zTy90H2baxideeY2Ofe7Td9Oxa5NPcGWONhhjxsr8Z69i4qmZqUYUuljKn/70J/i+jyeeeALXX3893nnnHXz961/H0NAQHn/88VBlqWkmEmNhRlZ/eMjNXPt9t2/fju3bt099vXbtWrz33nvYv39/6ESkpplIjIVpmmWz2WlDcDo7O+f9evL5PJqb+YnrFaoRicQYM06o8noul0M6/cGKEfP9FPz999/Hj3/8Y3z/+98P/W9VIxKJscrIatMBAOl0etrxUYlo3759U0/jPuo4evTotH/T09OD7du345577sH9998f+j5UIxKJsTA1ItauXbuwc+fOGWNWr1499f89PT3YunUrNm7ciCeffDLUuSqUiERizCXWrA67MFpLSwtaWlqo2LNnz2Lr1q1ob2/HU089BXeWYwWUiERizOak156eHmzZsgUrV67E448/jr/+9a9Tr7W2toYqS4lIJMaq0TRjvfTSS+jq6kJXVxdWrJi+vHAQhBsTpc5qkRizOfv+q1/9KoIguOIRlmpEIjG2WNYjmnMi+vytw6hPmotZ19ZElTfYz89TuSU/Rseuv4PrfMssq6XLHBngz3/67Twde657mIorFfvpMp9+k2+z37WB20UkfRW/48lY0adj123kpq6E2W0jzLSNm195no6997kvUnH/9sR5Y0wpCL+Lh5dw4CUMGywaXo8C1YhEYmyxzL5XIhKJMa1HJCLW2XxqNp+UiERizHUmDlNM1CkRicSY67lwEzO3vVwv+m0zJSKRGNPjexGxjxmwGIO2mRKRSIwxa1JXa83q+aREJBJjemomItaFWbM6yuaciF68+VtI1i4xxr2QIKcDcDMxQse6F7ltJMZOjdBlhvlLk8jwy3IG67lJg2FGzH73Nn594p/+nNtx5VRDO11mXT+3MwgAjPxxHRWXaP0sXSa72wbAT9sAgOfu/TUV9y8NMy80BgADI2N4ahd9agCqEYlIBKiPSESsc0DMNYNqRCJSRZprJiLWeQkXnmFkten1KFAiEokx1YhExLqJRGR6arZAFzMHSkQiMabH9yJinSa9ioh1LrFmtftxWLP67hPf4RbP39BMlTfQxy+ePxxi8fqbNl9NxWVaQyyeH2Lx/lNv9dOxvae4kc2lEAvSP3aYDsXXtjVQcemrTtJlBvyl4sa7uqi4V57lb+q5Ue6eAG6h+wpmxDQAPPO5A8aY0YECgIP0uYHJNatNTbMYVIlUIxKJMfURiYh1muIhItapRiQi1rkJx9gZ/bHorBYRe1zXgWuo8ZhejwIlIpEYU9NMRKzTXDMRsU7jiETEOo8YWW16PQpmnYiCYGJd5eHSOBU/MMKNQh4c5UcrjxT52MIQN2LbGeTrsSND/PnD3NdQkXtPSyV+uPJYmQ7FUJH74LpkHADA59bhBvifFfvZA4CxMn/+UsCXy36uJ0ZNz6w4OBFT+d1iz2+qEbHXaJMThLnrS5w5cwbZbHa+r0fkYy+Xy2HFihUzxoyOjmLNmjXo7e2lymxtbcXJkydRW8tPYVpIs05Evu+jp6cHjY2NU23QQqGAbDaLXC6HdDo9rxdq02K8L91T9ARBgIGBASxfvhwuMRx6dHQUpRJXe0wmk5FNQsAcmmau635k1k6n07H8IJgsxvvSPUVLJpOhY2trayOdXMKIwYM9EVnslIhExLp5TUSpVAp79+5FKsXvahoHi/G+dE8SJbPurBYRmS9qmomIdUpEImKdEpGIWKdEJCLWKRGJiHVKRCJinRKRiFinRCQi1v0/h0nijecz9q0AAAAASUVORK5CYII=",
|
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"text/plain": [
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"<Figure size 300x300 with 2 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
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},
|
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{
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"entries = [value for entry in data.values() for value in entry if value['info']['meta'] == 'interleaved-25-07-02-01-p0.3']\n",
|
|
"group_baseline = [value for value in entries if not value['info']['mods']]\n",
|
|
"group_modified = [value for value in entries if value['info']['mods']]\n",
|
|
"\n",
|
|
"smooth = None\n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='corr', smooth=smooth)\n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='corr', smooth=smooth)\n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='max', smooth=smooth)\n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='max', smooth=smooth, plot_cdf=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 84,
|
|
"id": "3e0f0a08-205f-4621-a366-9f80b88ed5ce",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace']]\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.995575\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.998±0.000902 min: 0.995 max: 0.999\n",
|
|
"Cross class: 0.931±0.0892 min: 0.789 max: 0.999\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.233499797763\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.988903\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.996±0.00231 min: 0.988 max: 0.999\n",
|
|
"Cross class: 0.745±0.353 min: -0.0688 max: 0.997\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.244707237254\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.876642\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.936±0.0191 min: 0.899 max: 0.968\n",
|
|
"Cross class: 0.768±0.153 min: 0.499 max: 0.954\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.239207669505\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.716948\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.874±0.0508 min: 0.744 max: 0.958\n",
|
|
"Cross class: 0.371±0.516 min: -0.784 max: 0.917\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.251343787841\n",
|
|
"EER: 0.22647058823529412 th: 0.8286649223477585\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 84,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x300 with 2 Axes>"
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]
|
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},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
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},
|
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{
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"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"entries = [value for entry in data.values() for value in entry if value['info']['meta'] == 'interleaved-25-07-02-02-p0.3']\n",
|
|
"group_baseline = [value for value in entries if not value['info']['mods']]\n",
|
|
"group_modified = [value for value in entries if value['info']['mods']]\n",
|
|
"print([value['info']['mods'] for value in group_modified])\n",
|
|
"\n",
|
|
"smooth = 1e-7\n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='corr', smooth=smooth)\n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='corr', smooth=smooth)\n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='max', smooth=smooth)\n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='max', smooth=smooth, plot_cdf=True, fig_out='short_within_0.3_min_max', do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 85,
|
|
"id": "72805716-cee3-4a1b-94c8-d810756b8c18",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"tdp0604 tdp0604\n",
|
|
"[['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace']]\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.994850\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.996±0.000496 min: 0.995 max: 0.998\n",
|
|
"Cross class: 0.925±0.0896 min: 0.783 max: 0.996\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.218796775409\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.982344\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.989±0.00226 min: 0.985 max: 0.994\n",
|
|
"Cross class: 0.725±0.358 min: -0.0808 max: 0.991\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.235755269216\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.879213\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.903±0.00772 min: 0.879 max: 0.921\n",
|
|
"Cross class: 0.644±0.151 min: 0.373 max: 0.87\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.060125949849\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.723555\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.834±0.0358 min: 0.717 max: 0.886\n",
|
|
"Cross class: 0.0832±0.499 min: -0.843 max: 0.775\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.099837794942\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
|
|
]
|
|
},
|
|
"execution_count": 85,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
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"text/plain": [
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"<Figure size 300x300 with 2 Axes>"
|
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]
|
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},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
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},
|
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{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"entries = [value for entry in data.values() for value in entry if value['info']['meta'] == 'interleaved-25-07-02-02-p0.3']\n",
|
|
"entries_repeat = [value for entry in data.values() for value in entry if value['info']['meta'] == 'baseline-repeat-25-07-02-01-p0.3']\n",
|
|
"print(entries[0]['info']['chip'], entries_repeat[0]['info']['chip'])\n",
|
|
"group_baseline = [value for value in entries_repeat if not value['info']['mods']][:10]\n",
|
|
"group_modified = [value for value in entries if value['info']['mods']]\n",
|
|
"print([value['info']['mods'] for value in group_modified])\n",
|
|
"\n",
|
|
"smooth = None\n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='corr', smooth=smooth)\n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='corr', smooth=smooth)\n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='max', smooth=smooth) \n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='max', smooth=smooth)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 86,
|
|
"id": "165344df-8bb0-4ed9-8aa8-c99499a39b81",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"tdp0604 tdp0604\n",
|
|
"[['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace'], ['short_within_trace']]\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.994850\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.996±0.000496 min: 0.995 max: 0.998\n",
|
|
"Cross class: 0.925±0.0896 min: 0.783 max: 0.996\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.218796775409\n",
|
|
"EER: 0.08256880733944955 th: 0.9948339629072368\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.723555\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.834±0.0358 min: 0.717 max: 0.886\n",
|
|
"Cross class: 0.0832±0.499 min: -0.843 max: 0.775\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.099837794942\n",
|
|
"EER: 0.034042553191489355 th: 0.7515290358358554\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 86,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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AID09XVeb0TAQEZlRjCerbTYbcnJy0NLSErG9paUF+fn5qq9NTEzEtGnTYLVasXfvXixevBiWy4+DysvLG9Hme++9p9nmlbigkciMhNC410z/6WVVVRVKS0sxb9485OXlYfv27ejs7MSqVasADD1W/syZM+G1Qp9//jmOHTuGhQsX4uzZs6irq8Mnn3yC119/Pdzmk08+ibvvvhu1tbVYsmQJDhw4gEOHDuHIkSO6+sZARGRCSiAARYm+VkgZwzqikpIS9PT0YMOGDfB4PJg1axaam5uRmZkJAPB4PBFrigKBAF555RV89tlnSExMxD333IPW1lZMnz49XCc/Px979+7Fc889h3Xr1uHWW29FU1MTFi5cqKtvDEREpqR1+jW2CxcVFRWoqKgYdV9jY2PEv7Ozs9HR0aHZ5tKlS7F06dIx9SeEgYjIjJgGhIgMx0BEREZTgoNQVNJtKnyuGRHFHUdEE4vsqm4jxXQF9uUFr1p5tcYT2dXssvVkc1Yb+bejQEBB9PdX2zceTfhARDQuxWEdkZkxEBGZkBIMaMwR6V9HZGYMREQmpIggFJURkdq+8YiBiMiUglBftMhARERxpggBRWUeSG3feMRARGRCighAESpzRIJzREQUZ5wjIiITEJeL2v6Jg4GIyIS4oFGnX775fzDJYVOtI7uSVU8uYenVsZJN6kyxawiZY7nB6QL+7VmcWbEF3RLTCE8fflbqvXu/Hv3pEFdKsMkl/ezt6ZeqBwCJNsmV1Q65enfeP1+qXt9bT0vVA4D/NeenqvvPX/ADeFe6PYsIwKIyR2SZYHNEitCd1XuIz+dDamoqent7I5J3E9FIsr+XUL1f/+svkWiNPk4YCAxi3+eHJszv76pHRMfqqjgiukZkR0R3/Nuz2HdWSI2IHpQdEXWNgxGR5L1ms++XS+z+n/vOSNUDgH+Znaq6f2hEJI+nZjqd/+5rBG3qzTAQxYaesWt3APBKZIro7zkt1d4F70Wpeol2lUfgDNPnvSRVDwBsDrngJv2op4tyQdDn/lquPQADmT9R339hQLotgOuIiMgEFARgQfTAqmBizRFJByK/3x/xOFufzxeXDhERoFwuavsnEunnmtXU1EQ82tblcsWzX0TXNUURmmUikQ5E1dXV6O3tDRe32x3PfhFd10KT1WplIpE+NbPb7ZrP1Sai2LAgCIvKHfZq+8YjTlYTmdD1NkfEQERkQlrzQBNtjuiqA1HLA1thn5SsXkk2CbnsOpB4tRnL943He0uYlpyIXAwtVJRZI/TG4iapdn3/73upeoM/SC58XKC+CHY42cX/7gNtUvVmed+Wqnfo0de1K102+7//XXW/VebBB8PrQ8CqMg+ktm884oiIyIQ4IiIiw1mgfklb3/jK/BiIiEzoehsRTbTASjQhWBWhWcZi27ZtyMrKgsPhQE5ODg4fPqxaf/fu3bjzzjtxww03ICMjA8uXL0dPT094f2NjIxRFGVEuXZK/lxBgICIyJ2XoRuxoZSzX75uamlBZWYm1a9eio6MDhYWFWLRoETo7O0etf+TIETz++OMoKyvDp59+ijfffBMff/wxysvLI+qlpKTA4/FEFIfDoatvDEREJmRRtItedXV1KCsrQ3l5ObKzs1FfXw+Xy4WGhoZR63/00UeYPn061qxZg6ysLNx1111YuXIljh8/HlFPURSkp6dHFN3Hq/9wiCjeFIkCDN18PrwMvzF9uP7+frS3t6OoqChie1FREVpbW0d9TX5+Pr799ls0NzdDCIHvv/8eb731Fh588MGIen19fcjMzMS0adOwePFidHR06D5eBiIiE7JahGYBAJfLFXEzek1NzajtdXd3IxAIwOmMTArndDrh9XpHfU1+fj52796NkpIS2Gw2pKenY8qUKdi8eXO4zowZM9DY2IiDBw9iz549cDgcKCgowBdffKHreHnVjMiEtE6/QvvcbndEqlit+0GVKzIACiFGbAs5deoU1qxZg+effx7FxcXweDx45plnsGrVKuzYsQMAkJubi9zc3PBrCgoKMHfuXGzevBmbNm1S7ctwVx2IHGmTYZ+svrI6OCh3g55F5+rTWJLN7if0rKw2gC1p6DPs7fJLZVWUXTGdMkMuvWrf191S9RJukF9ZLfvdJEyeJFXv+6/6pOrZC+XaA4Bzn6hfJeq7pDNDY2hSWmU/MDRRLJOzOi0tDVardcTop6ura8QoKaSmpgYFBQV45plnAAB33HEHJk2ahMLCQrz00kvIyMgY8RqLxYL58+frHhHx1IzIhGI9WW2z2ZCTk4OWlpaI7S0tLcjPzx/1NRcuXIDFEhkirNahVMDRbrsRQuDEiROjBik1PDUjMiGrZahE3T+GgXlVVRVKS0sxb9485OXlYfv27ejs7MSqVasADOUcO3PmDHbt2gUAeOihh7BixQo0NDSET80qKyuxYMECTJ06FQDw4osvIjc3F7fddht8Ph82bdqEEydOYOvWrbr6xkBEZEIWaMwRjaHNkpIS9PT0YMOGDfB4PJg1axaam5uRmZkJAPB4PBFripYtW4bz589jy5YtePrppzFlyhTce++9qK2tDdc5d+4cnnjiCXi9XqSmpmLOnDn48MMPsWDBAl19YyAiMiHZOSK9KioqUFFRMeq+xsbGEdtWr16N1atXR21v48aN2Lhx49g6MwwDEZEJKRrzQOPh8Vd6MBARmZDmHNEEu8zEQERkQrLriCYKBiIiE4rXHJFZMRARmZBFUWBRiTZq+8ajqw5EikXRXPlqtck9Dz0uLHIn02JQ7hG+0s9XN0iofwk2i9Rz6GVzTMuumJ58S5pUvYvf9UrVA2K/mt2SEPtV9IEB9bsHtPZfyWodKlH3m3uBv24cERGZEOeIiMhwoUyHavsnEgYiIhPiiIiIDGfRmCOycI6IiOKNp2ZEZLh43PRqZgxERCakWIaK2v6JhIGIyIQSLAoSVIZEavvGIwYiIhPiiEgna5INVh35h2NFdtWrJUFuVbcIyq18VSRXautpM5Ys9qH/U/b29KPPq/20zYQFct+dbI5p2RXTSVNTpeoBwIBP7qmhjn+Sa/OsxOcCAIkpSVL1AMD3P/2q+3/w681ZzclqIjIY1xERkeGsVgVWa/RoYw1OrEjEQERkRhppQDCx4hADEZEZWSzqiSN0TFWOCwxERCbEyWoiMhzniIjIcAo0UsVes55cGwxERCZksSiwqFyjV9s3HjEQEZkQk+cTkeE054hU9o1HV588P8EKRes2ihgnPx96X8kvQvK9NY9hDBRLbNuUSdxvufyNJtoU2Bza13iFkPx8JE8FZG+9kb1tAwASUxxS9QKX5G6jsEr+7QT7B6XqAUDSJPWfUkBntnuOiIjIcLx8T0SGu97uvp9gh0M0MVguzxFFK5YxzhFt27YNWVlZcDgcyMnJweHDh1Xr7969G3feeSduuOEGZGRkYPny5ejp6Ymos2/fPsycORN2ux0zZ87E/v37dfdLOhD5/X74fL6IQkTxEZojUit6NTU1obKyEmvXrkVHRwcKCwuxaNEidHZ2jlr/yJEjePzxx1FWVoZPP/0Ub775Jj7++GOUl5eH67S1taGkpASlpaU4efIkSktL8dhjj+Ho0aO6+iYdiGpqapCamhouLpdL1xsRkbzQE5TVil51dXUoKytDeXk5srOzUV9fD5fLhYaGhlHrf/TRR5g+fTrWrFmDrKws3HXXXVi5ciWOHz8erlNfX4/7778f1dXVmDFjBqqrq3Hfffehvr5eV9+kA1F1dTV6e3vDxe1263ojIpIXykekVgCMOEvx+0d/hHh/fz/a29tRVFQUsb2oqAitra2jviY/Px/ffvstmpubIYTA999/j7feegsPPvhguE5bW9uINouLi6O2GfV4ZSva7XakpKREFCKKD4tlaB4oarkciVwuV8SZSk1NzajtdXd3IxAIwOl0Rmx3Op3wer2jviY/Px+7d+9GSUkJbDYb0tPTMWXKFGzevDlcx+v16moz6vHqqk1E10To8r1aAQC32x1xplJdXa3Z7nBCiKhLAU6dOoU1a9bg+eefR3t7O959912cPn0aq1atGnOb0fDyPZEJyeYjkj07SUtLg9VqHTFS6erqGjGiCampqUFBQQGeeeYZAMAdd9yBSZMmobCwEC+99BIyMjKQnp6uq81orjoQde4/Dptjknol2ZXVE+xGvliTmqD850nA47OlJzTdB9qk3jthssZ3rJNsontAfsX0rcsLpep51/9Rqt537/6XVD0AsCaqn1xYA/pOPixWqF6i17to32azIScnBy0tLXjkkUfC21taWrBkyZJRX3PhwgUkJESGCOvl52CHVuTn5eWhpaUFTz31VLjOe++9h/z8fF3944iIyITisbK6qqoKpaWlmDdvHvLy8rB9+3Z0dnaGT7Wqq6tx5swZ7Nq1CwDw0EMPYcWKFWhoaEBxcTE8Hg8qKyuxYMECTJ06FQDw5JNP4u6770ZtbS2WLFmCAwcO4NChQzhy5IiuvjEQEZlQPFLFlpSUoKenBxs2bIDH48GsWbPQ3NyMzMxMAIDH44lYU7Rs2TKcP38eW7ZswdNPP40pU6bg3nvvRW1tbbhOfn4+9u7di+eeew7r1q3DrbfeiqamJixcuFBX3xiIiExI69R6LOuIAKCiogIVFRWj7mtsbByxbfXq1Vi9erVqm0uXLsXSpUvH1J8QBiIiE7Jo3MYx1ls8zIqBiMiM+DghIjKaRdFIFcs0IEQUb0yMRkSGsyRYYEmIfmlMbd94xEBEZEIcEen0u+AmTA4mxqIvEIPyeX3HevnyasnmZAbkr2wEA3JtyrSXFLwFwGzMvt8JXOzXrD/L+7bUe3//VZ9UPYtkPuizXvmc1bI5pmVXTH+8/j2pemsaH9GudJkjWf2nNKgEpdsC+DghIjKB6y1VLAMRkQlxHRERGS5eK6vNioGIyISGZ2GMtn8iYSAiMiFF0RgRTbDLZgxERCbEOSIiMp5WYrsJdm7GQERkQvHIR2RmDEREJsSrZjq9/cjrsCerJ+8WQblVpYqOMC/b5kQis6o7w67gXwH8574z8Lm/1qx/6NHXpd7bXiiXs1p25XliSpJUPQAI9g9K1ZPNMS27YvrAMvlHJz/wp/+tur9PMu92COeIiMhwHBERkeE4R0REhlOg8RSPCZaikYGIyIQsCYpqJgPZLAfjBQMRkQkxDQgRGY5pQIjIcEOBSO2q2TXszDXAQERkQlxHRESGUzTmiLiOiIjijnNEOi36j1JMdqgnz7dKDiOFkE9ML0v2ThDZPg4OyN9akpAo99cSy+NOSr8FKKvHv8xOxUDmTzTrz/7vf5dq99wncsnuA5Kfj+9/tBP7hyRNkvsztUp+3lqJ7kO0btsYrnnlQdX9l877gP87Rbo95iMiIsNZExTVp5fIPtlkvJhgAzyiiSF0r5laGYtt27YhKysLDocDOTk5OHz4cNS6y5YtGxqZXVF++tOfhus0NjaOWufSJfnHRQEMRESmFI9A1NTUhMrKSqxduxYdHR0oLCzEokWL0NnZOWr9V199FR6PJ1zcbjduuukmPProoxH1UlJSIup5PB44HA5dfWMgIjKh0GS1WtGrrq4OZWVlKC8vR3Z2Nurr6+FyudDQ0DBq/dTUVKSnp4fL8ePHcfbsWSxfvjyyr4oSUS89PV133xiIiEzImmDRLADg8/kiit/vH7W9/v5+tLe3o6ioKGJ7UVERWltbpfq0Y8cO/PKXv0RmZmbE9r6+PmRmZmLatGlYvHgxOjo6dB8vAxGRCcmOiFwuF1JTU8OlpqZm1Pa6u7sRCATgdDojtjudTni9Xs3+eDwevPPOOygvL4/YPmPGDDQ2NuLgwYPYs2cPHA4HCgoK8MUXX+g6Xl41IzIh2cv3brcbKSk/Zki12+2a7Q4nhJBaCtDY2IgpU6bg4Ycfjtiem5uL3Nzc8L8LCgowd+5cbN68GZs2bdJsN4SBiMiEZO++T0lJiQhE0aSlpcFqtY4Y/XR1dY0YJV1JCIGdO3eitLQUNptNo98WzJ8//9qNiEKL8H7wa+cTvm4XNAau/YLGwEU/fD4fzl/wY+CCdp7k0FyDFtmcy7ILGn/wy+dwDljlPh+r5Oc9qMj1UU+e6Uvnfar7/X1D+2W/6z7/gGrOoT4dnx8A2Gw25OTkoKWlBY888mPO7paWFixZskT1tR988AG+/PJLlJWVab6PEAInTpzAz372M139gxgjt9stALCwsOgobrdb9Xd18eJFkZ6eLtVWenq6uHjxovRvdu/evSIxMVHs2LFDnDp1SlRWVopJkyaJb775RgghxLPPPitKS0tHvO63v/2tWLhw4ahtrl+/Xrz77rviq6++Eh0dHWL58uUiISFBHD16VLpfQggx5hHR1KlT4Xa7kZycHD7H9Pl8cLlcI85bxyMeizmN12MRQuD8+fOYOnWqaj2Hw4HTp0+jv1/7FhibzaZrvU5JSQl6enqwYcMGeDwezJo1C83NzeGrYB6PZ8Saot7eXuzbtw+vvvrqqG2eO3cOTzzxBLxeL1JTUzFnzhx8+OGHWLBggXS/AEARInbnBT6fD6mpqejt7R1XfySj4bGY00Q6FvoRL98TkeEYiIjIcDENRHa7HS+88ILmWobxgMdiThPpWOhHMZ0jIiIaC56aEZHhGIiIyHAMRERkOAYiIjIcAxERGY6BiIgMx0BERIZjICIiw/1/p/mE85akPcoAAAAASUVORK5CYII=",
|
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"text/plain": [
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"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
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"text/plain": [
|
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"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"entries = [value for entry in data.values() for value in entry if value['info']['meta'] == 'interleaved-25-07-02-02-p0.3']\n",
|
|
"entries_repeat = [value for entry in data.values() for value in entry if value['info']['meta'] == 'baseline-repeat-25-07-02-01-p0.3']\n",
|
|
"print(entries[0]['info']['chip'], entries_repeat[0]['info']['chip'])\n",
|
|
"group_baseline = [value for value in entries_repeat if not value['info']['mods']][:10]\n",
|
|
"group_modified = [value for value in entries if value['info']['mods']]\n",
|
|
"print([value['info']['mods'] for value in group_modified])\n",
|
|
"\n",
|
|
"smooth = None\n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, do_lines=True)\n",
|
|
"plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='max', smooth=smooth, plot_cdf=True, do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "97c6d52c-1a91-49f6-8392-047938a3593c",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Can we detect when a trace is probed using an oscilloscope probe?\n",
|
|
"\n",
|
|
"* probed with rigol PVP3150 probe, connected to running Rigol DS1054Z scope. probe grounded using ground clip to mesh specimen board ground area\n",
|
|
"* baseline also measured with ground clip connected to exclude grounding as the measured effect"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "a995e3b3-02d9-48dd-8044-69f9761c3b84",
|
|
"metadata": {},
|
|
"source": [
|
|
"### Pitch 0.3 mm"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 87,
|
|
"id": "10bf6e6d-598c-4e4d-942d-e7db92986c95",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"pi3hdx12211\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.972987\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.979±0.00182 min: 0.975 max: 0.983\n",
|
|
"Cross class: 0.944±0.00617 min: 0.934 max: 0.96\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000001501477\n",
|
|
"EER: 0.0 th: 0.9747796526628734\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 87,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"\n",
|
|
"group_baseline = [value for value in data['M-SP-PITCH-V2-0010-0.3'] if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.3'][:12]\n",
|
|
"group_probed = [value for entries in data.values() for value in entries if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.3' and 'probe_points' in value['info']['mods']]\n",
|
|
"print(group_baseline[0]['info']['chip'])\n",
|
|
"\n",
|
|
"smooth = None\n",
|
|
"plot_vector_covar(group_baseline, group_probed, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, fig_out='probe_0.3', do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "4cbea4c5-e53b-446a-a14a-0dd9da9acca0",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"### Pitch 0.4 mm"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 88,
|
|
"id": "000d8897-a36d-4000-a86c-291d5ac6c34c",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.963759\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.972±0.00261 min: 0.965 max: 0.976\n",
|
|
"Cross class: 0.93±0.00368 min: 0.919 max: 0.937\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000000\n",
|
|
"EER: 0.0 th: 0.9640827677501544\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 88,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"group_baseline = [value for value in data['M-SP-PITCH-V2-0010-0.4'] if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.4'][:12]\n",
|
|
"group_probed = [value for entries in data.values() for value in entries if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.4' and 'probe_points' in value['info']['mods']]\n",
|
|
"\n",
|
|
"smooth = None\n",
|
|
"plot_vector_covar(group_baseline, group_probed, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, fig_out='probe_0.4', do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "c85437f3-2a9c-44e4-b4b7-5b48c4551bc3",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Can we detect when the mesh is touched?"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 89,
|
|
"id": "a91c74ef-31c5-415d-a868-c5d64e095848",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.981066\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.984±0.00094 min: 0.982 max: 0.986\n",
|
|
"Cross class: 0.924±0.0132 min: 0.89 max: 0.948\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000007289617\n",
|
|
"EER: 0.0 th: 0.9811027642073021\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 89,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"group_baseline = [value for value in data['M-SP-PITCH-V2-0004-0.3'] if value['info']['meta'] == 'touch-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
|
|
"group_touch = [value for value in data['M-SP-PITCH-V2-0005-0.3'] if value['info']['meta'] == 'touch-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
|
|
"\n",
|
|
"smooth = None\n",
|
|
"plot_vector_covar(group_baseline, group_touch, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, fig_out='touch_mesh', do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "ca721bcb-8b6f-4066-b685-1c3bcb14c29f",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Is our circuit sensitive to grounding? Would we detect if the mesh ground is touched?"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 90,
|
|
"id": "9c393d8d-9733-4001-9cee-8fef171e8d40",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.981497\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.984±0.000888 min: 0.982 max: 0.986\n",
|
|
"Cross class: 0.982±0.000887 min: 0.981 max: 0.985\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.833350961269\n",
|
|
"EER: 0.1676190476190476 th: 0.9831607423686642\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 90,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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HHsDJkycNY2pqapLaRz1MREQW6JuPSO/SbPR91+yGE9GEf0pHeqrxPMLNp7pEbX1+wXy+Z4dTNr4unWNaWjH9xzWyCuwVv19uGhMOysYAIiHzX0jli6L2FKcdMKlwz56SJtquPcX8HHvSZb86gV7ZsQaFcQ6TY+yXnmn+/t8eln3gJ0z3mcb4e0KituKG+NLsVsceEZEVrrlNn/C1UYaJiMgCfNKrFhMRkQVU1eBLr+wREdGw4KWZBhMRkQXUaBSqjZdm/ZiIiKzAp3hoMBERWUFVDS7NePueiIYBn/SqxUREZIVoBLBF9F8bZW44EbWd70Gv27iyuvPvsqrToGAeZEU4ccmlZvMqbUB+g0JSMQ0A+x583TRGWs2d5jM+rwCA1L6BTZsdsJvMWR2LyP7SKjbzOLdk3wCk+mS/YmNzZHNWR4TV0NGIeVxYOO9229ke05iuq8nNWc27ZlrsERFZgYPVGkxERBZQY1GoMZ3b9zrrRzImIiIrqAY9Il6aEdGw4BiRBhMRkRWiUUDRu2vGSzMiGg7sEWkwERFZgXfNNJiIiKwQiwAxndkmYyxoTJpiU6DYjAvppNOFegXTj3rHOEVt9XbJCsykX+uRTu8qKVaUTjv7v98uNY1xfnE+PD4HVJvxubl0zrwwDwAyst2mMb1XZEWqqcLCxyutAVGclOTZYGkZsn0LBczfe+nvRxx7RBrsERFZgWNEGkxERFZgItJgIiKyQiyqPxbEymoiGg5KTIWiM92H3vqRjImIyBIGl2bgpRkRDYdYRH9OG96+J6LhoKgxKDo9Ir31IxkTEZEVeNdMg4mIyAKKGoWiJr47prd+JLvhRORKtcPl1ilV/8KYcbJq6Csd5tW6gR7Z9fPtk1JFcaGrsjc9EpL9lZJM7yqpmAaA1x4+ZBozPgV4CoDDYwdU4/ch+yte0XZDgkr4iHCaVZvduOq+X+60dFGcpGIaAKKCaXG7LgVFbaU4zecnjib7SeJTPDTYIyKyAMeItJiIiKygqvo9H/aIiGg4KGoEipr4slVRefueiIaBoqpQdHo+eutHMiYiIivw9r0GExGRBWxqFDY18d04G2/fE9HwUL9Y9F4bXZiIiCygQIWik3D01o9kN17QOG4y3Kkuw5g0yArHYmnm07umjjPeVny/MmVxtoDselwxrhX8Uqp5t9opnO52vODdyezfL/d401jFIS1CNI9zRGRTxZpNIxyP88rOifTWtk1wdSM9BgmHU/Y73u8fcWlWVVWFF154AS0tLbjjjjuwc+dO3H///brxu3btwksvvYRz585h0qRJ2LhxI7773e/GXw+Hw6ioqMD+/fvR3NyMadOmYfv27XjwwQdvaLsJqYPU2dmpAlA7OzsH2wTRiCH9PPTHffur31SXFT6YcPn2V7+Z9GerpqZGdTgc6t69e9WTJ0+qTz/9tJqWlqaeP38+YXxVVZWanp6u1tTUqJ999pn6+uuvq16vV3377bfjMevWrVNzc3PV3/72t+pnn32mVlVVqW63W/3LX/4y6O3qUVR1cPcK/X4/MjIycPGP6+FLM+59dAonRg90m9dPOFNlXRN7iuwvsfQrCClO2XZtgjCPcEJ5h0fQmHs87FOexBuXVbSb/CGdXvV90XbHCSbPl0woDwD+y7KHGKQJHpwAAIrs7RJ1nLq7ZPU6koc6dAdC+Mamvejs7ITP59ON6//c/M+v/jMc9sTthqMR/OrUH03bulZRURHuuece7N69O76usLAQjzzyCCoqKgbEl5SUYO7cuXjhhRfi69asWYPjx4/j/fffBwDk5uZi48aN+MEPfhCPeeSRR+D1evHaa68Nart6bvjSLNbViFjMuFsd6ugVtRXwC35pvbJdTnGYfz8IAGzChAXX0CVAs6dtfBkovR4E2qNAq8nnKqfxU1FbnpjHNCYofDJLZ7vskkUdI0vOijATSf6+dgqTJMaa71tPMLkixL5Ls8THkuylWSgUQkNDA9avX69ZP3/+fNTV1SX8mWAwCLdb+wfH4/Ggvr4e4XAYDodDN6Y/UQ1mu3pkn1YiGmJqfMD6+qX/rpnf79cswWDipN7e3o5oNIrs7GzN+uzsbLS2tib8mQULFuCVV15BQ0MDVFXF8ePHUV1djXA4jPb29nhMZWUlTp8+jVgshtraWrz11ltoaWkZ9Hb1iBNRMBgccGKIaHAUkwUA8vLykJGREV/MLnWu7y2qqqrbg9y8eTMWLlyIOXPmwOFwYOnSpVixYgUAwG7v64m/+OKL+MpXvoLp06fD6XTihz/8IR5//PH464PZrh5xIqqoqNCclLy8vKQ2RERfUhTVcAGApqYmdHZ2xpcNGzYkbCszMxN2u31AL6StrW1Ab6Wfx+NBdXU1ent7ce7cOTQ2NiI/Px/p6enIzMwEAGRlZeHNN99ET08Pzp8/j48//hherxcFBQWD3q4ecSLasGGD5qQ0NTUltSEi+pINMcMFAHw+n2ZxuRLfFHI6nZg1axZqa2s162tra1FSUmK4Hw6HAxMnToTdbkdNTQ0WL14Mm02bFtxuNyZMmIBIJII33ngDS5cuveHtXk88WO1yuXRPBBElZ6gLGsvLy1FWVobZs2ejuLgYe/bsQWNjI1atWgWgryPR3NyMAwcOAABOnTqF+vp6FBUV4fLly6isrMSHH36I/fv3x9v84IMP0NzcjLvuugvNzc3YunUrYrEY1q1bJ96uFCuriSxw7VhQoteSVVpaio6ODmzbtg0tLS2YMWMGDh8+jMmTJwMAWlpa0NjYGI+PRqPYsWMHPvnkEzgcDsybNw91dXXIz8+PxwQCAWzatAlnzpyB1+vFokWLcPDgQYwZM0a8XSkmIiIL2JUY7EriCna99WZWr16N1atXJ3xt3759mn8XFhbixIkThu098MADOHny5A1tV+qGE1GgKwJH1DiHS8v8JbUpmcK5qG3CbV5qlNU4ZU9JE8XFBHMlXzrXI9umYI5pxRGDHX3FimZ1QieerTV8vd+3Dv6LaUy7sEjVIyxA9aTJfhU9wjqysGCO8avCWihvhqDGSXY64oa6R3SrY4+IyALX3h1L9Npow0REZAG7osKuk3D01o9kTEREFlAU/e/NJVkLOCIwERFZwAYVNp3b9HrrRzImIiIL2GyAXaec2Db68hATEZEVeNdMi4mIyAI2RYVNZ1Bab/1IxkREZAEOVmsxERFZwG4wRmQffR2iG09E6Zku+NKMZxx0uGUz4UUE1bC3TZRVVkumnQUA71jZbIn2FNlEBYpgpDFDMBUrAIQElb82ewxO9E3vajazoqRiGgB+U/Zr05iHqx8RtdXadFUUJxWLyj6lDqf5+zWhQFYtL5l21pHkQxFtSt+i99powx4RkQV4aabFRERkgRQF0OtkR0ffE6eZiIiswB6RFhMRkQUUgzEiJiIiGhaGd81G4bN1mIiILMC7ZlpMREQW4BiRFhMRkQXsNgV2na6P3vqR7IYTkd2hwO4wPnEtp7pEbV25ZP544jTho4l7JY+vBhAJyu6VeoTPZncLnmvfeyUkakuyb45ICGnoexa92VS70uldJcWKb/+fN0Vt3f9vC0VxnX+XnZOJU82nzwWA4FXzgtZLF2XnY8w486LXULKPnLb1LXqvjTbsERFZgGNEWkxERBZQFEX3sczJPq55JGAiIrKAzQ7YdR5wwonRiGhY8NJMi4mIyAK8NNNiIiKygN2mf2lm55deiWg42BQFNp2ej976kYyJiMgCHCPSYiIisoDNrsBm1+kRxUZfJrrhRNR1KQj0GN9vTHHISkUl04C2ne8VteUdK6vA7umUVWAHBNO2AkCqz/yUpgqqrwHo/qJeS/niz6f/chid7caV6Z5UnUGJ60imd5VWTL+3/neiuJJ/fVAUd+5jWZV+qtf8WNvazCv5ASAq+L3sDSVZWc0ekQZ7REQWUGx9i95row0TEZEFbAZferWNwi4RExGRBfilVy0mIiILsKBRi4mIyAKcGE2LiYjIAnabArvOXVF7dPRlIiYiIgvYbIruoDQHq4loWPDSTIuJiMgCdrvBpZmgkHWkueFEFI2oiEaMvy6cVZAmauvy5+ZzCEsrpqXGTfCI4szmg+43Nse8vSvCuaNzp6WbxijevvmU09JToJrM5+1JG7q/O9I5pqUV03U//r0oTlrR7XSbV1b7hPOQSyrSY/bkZjNjj0hrFFYsEFmv//a93jIYVVVVKCgogNvtxqxZs/Dee+8Zxu/atQuFhYXweDyYNm0aDhw4MCBm586dmDZtGjweD/Ly8rB27VoEAl/+Id26deuAfR8/fnzS+85LMyILDPWl2aFDh7BmzRpUVVVh7ty5ePnll7Fw4UKcPHkSkyZNGhC/e/dubNiwAXv37sW9996L+vp6rFy5EmPHjsWSJUsAAL/85S+xfv16VFdXo6SkBKdOncKKFSsAAD/72c/ibd1xxx145513rtl/2Xcar8VERGQFg++aDeY6pbKyEk888QSefPJJAH09mSNHjmD37t2oqKgYEH/w4EE89dRTKC0tBQBMmTIFx44dw/bt2+OJ6OjRo5g7dy6+853vAADy8/OxfPly1NfXa9pKSUkZVC/oWuJDDgaD8Pv9moWIBqd/jEhvATDg8xYMJp4tIBQKoaGhAfPnz9esnz9/Purq6hL+TDAYhNvt1qzzeDyor69HONw3I8V9992HhoaGeOI5c+YMDh8+jIceekjzc6dPn0Zubi4KCgqwbNkynDlzJunzIU5EFRUVyMjIiC95eXlJb4yI+ig2xXABgLy8PM1nLlHPBgDa29sRjUaRnZ2tWZ+dnY3W1taEP7NgwQK88soraGhogKqqOH78OKqrqxEOh9He3g4AWLZsGX7605/ivvvug8PhwNSpUzFv3jysX78+3k5RUREOHDiAI0eOYO/evWhtbUVJSQk6OjqSOh/iS7MNGzagvLw8/m+/389kRDRIdsXgkdNfdImamprg8/ni610ul2Gb1w9yq6qqO/C9efNmtLa2Ys6cOVBVFdnZ2VixYgWef/75+BjPu+++i+eeew5VVVUoKirCp59+iqeffho5OTnYvHkzAGDhwi/vYs6cORPFxcWYOnUq9u/fr8kXZsSJyOVymZ4IIpKRzEfk8/k0iUhPZmYm7Hb7gN5PW1vbgF5SP4/Hg+rqarz88sv4/PPPkZOTgz179iA9PR2ZmZkA+pJVWVlZfNxp5syZ6Onpwfe+9z1s3LgRtgTTBKSlpWHmzJk4ffq06X5fi7fviSwwlLfvnU4nZs2ahdraWs362tpalJSUGP6sw+HAxIkTYbfbUVNTg8WLF8cTTG9v74BkY7fboaoqVDVx3VQwGMRHH32EnJycpI6Bd82ILGC369+mH8Tdb5SXl6OsrAyzZ89GcXEx9uzZg8bGRqxatQpA39BKc3NzvFbo1KlTqK+vR1FRES5fvozKykp8+OGH2L9/f7zNJUuWoLKyEnfffXf80mzz5s14+OGH45dvzzzzDJYsWYJJkyahra0Nzz77LPx+Px577LGk9v+GE9GYHDd8aU7DmEtne0RtjZ/iNY25XVil7cmQVWD722RVzg6X7LcjEh66h1Lp/dW5LghA/90W47+kHq/s7ZbMHT5xqvl7BcjnmB7qObC/UfmQaUxWjts0BgB8txn/fgOAJyCb+7zfUE8VW1paio6ODmzbtg0tLS2YMWMGDh8+jMmTJwMAWlpa0NjYGI+PRqPYsWMHPvnkEzgcDsybNw91dXXIz8+Px2zatAmKomDTpk1obm5GVlYWlixZgueeey4ec+HCBSxfvhzt7e3IysrCnDlzcOzYsfh2pdgjIrLAP2JitNWrV2P16tUJX9u3b5/m34WFhThx4oRheykpKdiyZQu2bNmiG1NTU5P0fibc1pC0QkRJsacosKdwPqJ+TEREFuCXXrWYiIgscG3hYqLXRhsmIiIL2AymiuUMjUQ0LHhppsVERGQBXpppMRERWYCJSIuJiMgCnLNa68bnrA6riIaNK3FDV2XzPf+95appjFdQ5QoA/kuJ52653lW/rCI2PVP2hV+z+bsBYcU0+uYDN2OL9rdp3m44JKv6djjNS3uDVyOitlK9sop0yRzTgKxiGgD+q/y3pjEPvLBI1JbkfZDEXGuoK6tvdewREVmAj5zWYiIisoAtRYFNp7Jab/1IxkREZAGb0rfovTbaMBERWUBRDO6a8dKMiIaDza7ApldZzbtmRDQsDOqIRuO1GRMRkQVstr5F77XRhomIyAK8NNO64UQUDkYRTjEuWJQWNF65FDKNybxsHgMAoYBsm22NvaK424VTwIaD5nFpwmlsuwRFmY5ICGkAursi6LxsXJx5tVd2TiYIpuO9dFE2xW5bm6yw1Jcu+1WUTu8qKVb80/89LGrr68+bT2PbE5QVePbjVzy02CMisgATkRYTEZEFOEakxUREZAGbzWCMiD0iIhoOvDTTYiIisoDNpuj2fNgjIqJhYUvR/3KrbRR+KkfhIRNZj5dmWkxERBbg5PlaTEREFrAZPOmV8xENglEXs180KptG0zvGvOJYWjHtSpUdmidNFjdhuk8U13a2xzRGegwpgilb+3nTU4CxxufPK6zolsxkO2acbMpe6XvvSZVNFesTThUsmbpVUjENAH9e9zvTmECXH6gaI2oP4DQg12OPiMgCHCPSYiIisoDd4NJMb/1IxkREZAH2iLSYiIgswMcJaTEREVmAldVaTEREFuDjhLSYiIgswNv3WkxERBbgpZnWoBNR/3PWu3rNnx3fHZA9X747aB7nuCorfAspskI66b75e2RT1HZdNW8vHJQVNEYF747DGYTL70d3IGQ+Xalsdlc4VPPpbkPCqVF7Q7K4mF1Y+Ch8vyQFjdLpXQNdftOYYHdfjCqpBkXf77reJZjkczDSKKr0zF3nwoULyMvLG+r9IbqlNTU1YeLEibqvBwIBFBQUoLW11bCd8ePH4+zZs3C7ZXN03+oGnYhisRguXryI9PT0+DWt3+9HXl4empqa4PPJvhJxs+Ex3BxutWNQVRVdXV3Izc2FzWSu10AggFDIuIftdDpHTRICbuDSzGaz6WZ+n893S/zyGOEx3BxupWPIyMgQxbnd7lGVZCRGYekUEd1smIiIyHJDmohcLhe2bNkCl8s1lM0OKx7DzWEkHAPJDXqwmohoqPDSjIgsx0RERJZjIiIiyzEREZHlmIiIyHJMRERkOSYiIrIcExERWe7/Azs8EEE3lLw9AAAAAElFTkSuQmCC",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"group_baseline = [value for value in data['M-SP-PITCH-V2-0004-0.3'] if value['info']['meta'] == 'touch-ground-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
|
|
"group_touch = [value for value in data['M-SP-PITCH-V2-0005-0.3'] if value['info']['meta'] == 'touch-ground-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
|
|
"\n",
|
|
"smooth = None\n",
|
|
"plot_vector_covar(group_baseline, group_touch, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, fig_out='touch_ground', do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "94017b41-28af-4697-93ea-0fc4a9aa032d",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Compare the two above cases."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 91,
|
|
"id": "49058b85-96bc-469a-b3d5-fe98f28b132f",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978979\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.983±0.00136 min: 0.98 max: 0.986\n",
|
|
"Cross class: 0.926±0.0136 min: 0.89 max: 0.953\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000042953295\n",
|
|
"EER: 0.0 th: 0.9791645861772819\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 400x400 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 91,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# touch group: touched with one or more fingers directly to the mesh surface\n",
|
|
"# ground group: ground plane of mesh specimen board firmly touched, but mesh not touched directly\n",
|
|
"group_baseline = [value for value in data['M-SP-PITCH-V2-0004-0.3'] if value['info']['meta'] == 'touch-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
|
|
"group_touch_ground = [value for value in data['M-SP-PITCH-V2-0005-0.3'] if value['info']['meta'] == 'touch-ground-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
|
|
"group_touch = [value for value in data['M-SP-PITCH-V2-0005-0.3'] if value['info']['meta'] == 'touch-interleave-touch-serial-5-25-07-02-01-p0.3'][:10]\n",
|
|
"\n",
|
|
"batchlabels = ([5, 15, 25], ['Baseline', 'Mesh touched', 'Ground touched'])\n",
|
|
"smooth = None\n",
|
|
"plot_vector_covar(group_baseline+group_touch_ground, group_touch, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, fig_out='touch_combined', do_lines=True, figsize=(4,4), batchlabels=batchlabels)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "8eb6dec9-214b-49cc-937f-5f65e86ff6af",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Do we see a difference when the mesh is heated?\n",
|
|
"\n",
|
|
"In this experiment, mesh 5 was heated up to 60 ~ 70 Celsius using a hair dryer."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 92,
|
|
"id": "c93504ec-b1a3-4e80-b98e-64a0df0e3698",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.980069\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.983±0.000806 min: 0.981 max: 0.984\n",
|
|
"Cross class: 0.965±0.0058 min: 0.946 max: 0.972\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.005675672795\n",
|
|
"EER: 0.0 th: 0.9805802709390348\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 92,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"group_baseline = [value for value in data['M-SP-PITCH-V2-0004-0.3'] if value['info']['meta'] == 'hot-mesh-hot-serial-5-25-07-02-01-p0.3'][:10]\n",
|
|
"group_hot = [value for value in data['M-SP-PITCH-V2-0005-0.3'] if value['info']['meta'] == 'hot-mesh-hot-serial-5-25-07-02-01-p0.3'][:10]\n",
|
|
"\n",
|
|
"smooth = None\n",
|
|
"plot_vector_covar(group_baseline, group_hot, vector_method='norm', distance_method='corr', smooth=smooth, plot_cdf=True, fig_out='hot_mesh', do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "2c4a4369-3735-44c8-9ffb-34940c3f3fcc",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## How much do our measurements drift with time?\n",
|
|
"\n",
|
|
"Two measurement series were taken approximately 2h30 apart. Note that we could not precisely control temperature during this time, meaning some drift due to a degree or two of temperature difference would be expected."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 93,
|
|
"id": "15971dbc-25bb-4ea7-9e77-417a4e56ce8e",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"2025-07-02T14:12:06.264Z\n",
|
|
"2025-07-02T16:44:21.617Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.973546\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.979±0.00174 min: 0.975 max: 0.983\n",
|
|
"Cross class: 0.98±0.00134 min: 0.976 max: 0.983\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.999998395762\n",
|
|
"EER: 0.6029850746268657 th: 0.9795569289147479\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.160074\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.418±0.0836 min: 0.208 max: 0.539\n",
|
|
"Cross class: 0.39±0.0899 min: 0.105 max: 0.539\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.994771050513\n",
|
|
"EER: 0.4235294117647059 th: 0.42234734134839336\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 93,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": "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",
|
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"text/plain": [
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|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x300 with 2 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
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},
|
|
{
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
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"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"group_a = [value for value in data['M-SP-PITCH-V2-0010-0.3'] if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.3'][:10]\n",
|
|
"group_b = [value for entry in data.values() for value in entry if value['info']['meta'] == 'baseline-repeat-25-07-02-02-p0.3']\n",
|
|
"print(group_a[-1]['info']['timestamp'])\n",
|
|
"print(group_b[-1]['info']['timestamp'])\n",
|
|
"plot_vector_covar(group_a, group_b, vector_method='norm', distance_method='corr', plot_cdf=True, fig_out='time_drift', do_lines=True)\n",
|
|
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='time_drift_minmax', do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "b725e461-c144-4092-8b6e-a95b94a5889a",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
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"## Can we distinguish baseline versus modified meshes?\n",
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"\n",
|
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"Modifications considered here:\n",
|
|
"* Shorted A/B traces\n",
|
|
"* One trace cut open\n",
|
|
"* Our meshes with probe points for the probing/antenna measurements"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "b25496e3-907f-4c5e-bdb3-6bd0d8f3d2fc",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 94,
|
|
"id": "b431b6fb-2acf-4d52-90ba-6ea754ee1d6c",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"short_across_traces 0.3\n",
|
|
"10 2025-07-07T11:12:08.214Z\n",
|
|
"10 2025-07-07T11:09:39.478Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.222156\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.434±0.0686 min: 0.312 max: 0.558\n",
|
|
"Cross class: -4±0.303 min: -4.75 max: -3.5\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000000\n",
|
|
"EER: 0.0 th: 0.2915482296934595\n",
|
|
"short_across_traces 0.4\n",
|
|
"10 2025-07-07T11:24:19.057Z\n",
|
|
"10 2025-07-07T11:21:55.882Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at -0.044841\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.263±0.0995 min: -0.0456 max: 0.438\n",
|
|
"Cross class: -2.6±0.907 min: -4.33 max: -1.5\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.002394140016\n",
|
|
"EER: 0.0 th: -0.08129093490444816\n",
|
|
"open 0.3\n",
|
|
"10 2025-07-07T11:12:08.214Z\n",
|
|
"10 2025-07-07T11:14:58.826Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.222156\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.434±0.0686 min: 0.312 max: 0.558\n",
|
|
"Cross class: -2.66±0.435 min: -3.46 max: -1.73\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000017\n",
|
|
"EER: 0.0 th: 0.3114283518396177\n",
|
|
"open 0.4\n",
|
|
"10 2025-07-07T11:24:19.057Z\n",
|
|
"10 2025-07-07T11:26:42.062Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at -0.044841\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.263±0.0995 min: -0.0456 max: 0.438\n",
|
|
"Cross class: -1.62±0.282 min: -2.38 max: -1.15\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000011687\n",
|
|
"EER: 0.0 th: -0.05437290229507008\n",
|
|
"probe_points 0.3\n",
|
|
"10 2025-07-07T11:12:08.214Z\n",
|
|
"3 2025-07-07T11:15:53.185Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.222156\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.434±0.0686 min: 0.312 max: 0.558\n",
|
|
"Cross class: 0.439±0.0676 min: 0.281 max: 0.563\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.999333182506\n",
|
|
"EER: 0.5393939393939394 th: 0.4468653841422197\n",
|
|
"probe_points 0.4\n",
|
|
"10 2025-07-07T11:24:19.057Z\n",
|
|
"3 2025-07-07T11:17:02.353Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at -0.044841\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.263±0.0995 min: -0.0456 max: 0.438\n",
|
|
"Cross class: 0.254±0.0908 min: 0.0437 max: 0.397\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.999511411088\n",
|
|
"EER: 0.4923076923076923 th: 0.2817379300134156\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
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",
|
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"text/plain": [
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"<Figure size 300x300 with 2 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
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},
|
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{
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"data": {
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x300 with 2 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
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},
|
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{
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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dli9fDgCoqanBpUuXEB0drbPu6OhonDt3rslt//DDD3rLxMTE4OLFi6itrW32NefPn2/VthtDlbwWJiEB2LkTSEwEZs4UO5q27ebNm2CMISQk5OnMggLA05N3NPWM2bNnY8GCBTrzDh06hAGansQA9O3bF1ZWVqisrER9fT0CAgIQHx+vLe/duzfS0tKajcnFxQUAUFxcDLVaDQ8PD51yDw8PFBUVNbl8UVFRo8vU1dWhuLgYXl5eTb7m559/btW2G0MJxsIEBgJffgn85jdiR9L2sV/uC5Bpmu+ePOGPCDQyyP1f/vIXjB07VmeeT4PHCPbs2YOQkBBkZWVh5syZ2LRpkzZhAICdnR26d+9uUIyyBk2LjDG9eS1ZpuH8lqzXmG03RAnGAjV4HxOBBAUFQSaTISMjA2+99RbvPNnKij8g1oCbm9tzk4Ovry+CgoIQFBQER0dHDB8+HOnp6XB3dwfAL5FiY2ObXce8efMwb948uLm5wdraWu+M4d69e3pnFs/y9PRsdBkbGxu4uro2+xpNnMZuuzFUB2Ohjh8H+vXjffgSYbi4uCAmJgYbNmxAeXY2kJYGvPYaYG8PAHj8+LHR6+7fvz969uyJZc90X6i5RGpumjx5MgBAoVAgPDwcycnJOutNTk5G30YSoEZkZKTeMsePH0fv3r219UFNvaZPnz6t2najDKoSNgFqRWqZzEzG7OwYGzeOmq1byphWpNu3bzNPT08W6uXFvn7/fZaVmcnS09PZ559/rm2NaaqZWvMebqwViTHGDhw4wJRKJSsoKDBqfzRNxVu3bmXp6els5syZzMHBgeXm5mpfM2fOHDZ69Gid/bG3t2cffvghS09PZ1u3btVrpj579iyztrZmK1asYBkZGWzFihVNNlM3t+2WoARjwbZvp2ZrQxiTYBhjTJWczKa98grz9/FhCoWC+fj4sKFDh7KTJ08yxniCAaA3TZo0iTHWdIKpr69nwcHBbMqUKUbv04YNG5i/vz9TKBQsLCyMpaSk6JSPGTOG9e/fX2feqVOnWK9evZhCoWABAQFs48aNeuvdu3cvCw4OZnK5nIWEhLB9+/axqqoqbYJpybZbQsaYeZ+AKS0thZOTE0pKStCRbsV+rqlTga1bgXPngPBwsaOxbGq1GkeOHAEADB48GNbW1s9fqLoaWLeOPxQWFydwhJaturoan3zyCebOnWuyLhuoktfCrVnDu3Jo0GpKTOX0aZ5k3nhD7EjaJEowFk6pBLZv578zRg9EmtSDB8APP/DadCNvqiPNo1YkicjLA/r0Aa5dEzuSNuTYMcDREfj1r8WOpM2iBCMRHh68795XXwXefpt3UFVXJ3ZUEpadzQdWi4mh608BUYKRCKWSf+HOnMnP7KdNAxYvFjsqiVKrgaNH+W3TPXqIHU2bRnUwEuLnx5PK4sW8VUnz2cjOBrp1a1f9UxuutpYPp1lTAxQVAY8eAfHxVKklMKPekibpiIa0St++fFSC8nLgV7/iTdgHD1K3m3oYA776ig9iHxbGH/KKjwfq6/l1J9Gqrq7GkiVLUF1dbbJ1Gpxg9uzZg5kzZ2L+/Pm4fPky+vXrh9jYWOTl5ZksKNJyDg7Av/7Fe3ccOpRXBJ84IXZUFuLHH3kmHjkSiIjgp3pVVXyi60uzMDjBrF69GhMmTMDEiRPRo0cPfPbZZ/D19cXGjRuFiI+0QL9+wKlTQHIyP+NfsIBXM7RXtsXFkI0Zw7NtZSXw/ffAvn38OpKYlUF1MJqOaObMmaMzv7mOaKqrq3VOuUo1wxgmJvKR84hJyAC8DmDgKOBJtRzWm2qRVuCG1JvesJbVa18XEXAPr/jfw52HHXDoqr/OOpztazDylSwAwJfneqC6VvdO2P/pdQseHStx+qYX/nPXVafsv30e4DfdC/FzqR2+vqz7QVbK1ZjYNwMAsOunF/C4QqFTPqTnHQS4luHinc74MVf3sqV75xLEhOajtFKOHReC9fZ7Sr9rsLIC/i+tK1SP7VCcXQTXa9dww64LBi75J3rMfxvXMqyR0mBwuy5dgGHDeNVMYqL+/3PsWH52+O23wO3bumWRkfxq6/ZtXv4sV1fgnXf474219I0YAbi58S+E69d1y15+mbeYq1RAwy5y7e2BceP473//Ox9Z5VlDh/Jxtn78Ebh4UbcsJAQYOJBXO331lW6ZTMbvFgf0t2kShjxXcPfuXQaAnT17Vmf+smXL2AsvvNDoMgkJCY0+x1EilzOmUNAk4BQjO8YUqNKZllkvYEyhYN/a/Fav7L9k17TLeqBQr/yCTSRjCgX70OozvbKZVp8zplCwn2z66JW5o0i73p6yq3rlR2zeZEyhYMut5+uVjbTaxZhCwXLkQXplClSxWrkdYwoFi5J9r50nt6phCkU9276dvwcTE/X/PTExvKy8vPF/n0rFy+Pi9MtWreJl33yjXxYW9vS97+ysX37lCi+bNk2/bPZsXnbmjH6Zr+/T9QYF6ZefOKH5vOmXTZjAy27c0C+ztX263ogI0z8naNCzSCqVCj4+Pjh37hwiIyO185ctW4YdO3YgMzNTb5nGzmB8fX3pWSRickY9i0S0hHhO0KBLJGM6olEqlToPTmnyWSmN+E5MTK1Wo+KXzoxLS0spwRhI85k04JzjuQxKMM92RPO73/1OOz85ORnDhg1r0TrKfrl49PX1NWTThBAzKSsrg5OTk0nWZfCNdrNmzcLo0aPRu3dvREZGIjExEXl5edqeuJ7H29sb+fn56NChg8H9e5qD5hIuPz+/TV/CtYf9pH00DGMMZWVl8Pb2NlF0RiSYESNG4MGDB1i6dCkKCwvRs2dPHDlyBP7+/s9fGICVlRW6SGDM344dO7bZN+Wz2sN+0j62nKnOXDSMelRg6tSpmKpp2yKEkCbQ0yuEEMFQgmlAqVQiISHBZF0GWqr2sJ+0j+Ize5+8hJD2g85gCCGCoQRDCBEMJRhCiGAowRBCBEMJphm5ubmYMGECAgMDYWdnh27duiEhIQE1NTVih2ZSy5YtQ9++fWFvbw/nNjJ8R1vvdTE1NRVvvvkmvL29IZPJ8M0334gdUqMowTQjMzMT9fX12Lx5M65fv441a9Zg06ZNmDdvntihmVRNTQ3i4uIwZcoUsUMxifbQ62J5eTleeuklrF+/XuxQmmeyjh/aiU8//ZQFBgaKHYYgkpKSmJOTk9hhtFpERASbPHmyzryQkBA2Z84ckSISFgC2f/9+scNoFJ3BGKikpAQuLi5ih0GaoOl1MTo6Wmd+c70uEuFQgjHArVu3sG7duhY/OU7Mr7i4GGq1Wq9/Ig8PD71+jIjw2mWCWbx4MWQyWbPTxQYdm6pUKgwaNAhxcXGYOHGiSJG3nDH72JY07AqEMWaR3YO0de1y4LUPPvgA72h6Zm5CQECA9neVSoWoqCht/zdSYOg+thXG9LpIhNMuE4ybmxvc3Nxa9Nq7d+8iKioK4eHhSEpKgpVEhk80ZB/bElP0ukhMp10mmJZSqVQYMGAA/Pz8sGrVKty/f19b5unpKWJkppWXl4eHDx8iLy8ParUaaWlpAIDu3bvD0dFR3OCM0NpeF6XgyZMnuHnzpvbvnJwcpKWlwcXFBX5+fiJG1oDYzViWLCkpqdEhV9rav23MmDGN7uPJkyfFDs1oGzZsYP7+/kyhULCwsDCWkpIidkgmdfLkyUaP2ZgxY8QOTQd110AIEYw0KhQIIZJECYYQIhhKMIQQwVCCIYQIhhIMIUQwlGAIIYKhBEMIEQwlGEKIYCjBEEIEQwmGECIYSjCEEMFQgiGECOb/Acl2QV30hqj4AAAAAElFTkSuQmCC",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"for mod in ['short_across_traces', 'open', 'probe_points']:\n",
|
|
" for pitch in ['0.3', '0.4']:\n",
|
|
" print(f'{mod} {pitch}')\n",
|
|
" group_a = [value for value in data_runs[f'simple-attack-25-07-07-01-p{pitch}'] if not value['info']['mods']]\n",
|
|
" group_b = [value for value in data_runs[f'simple-attack-25-07-07-01-p{pitch}'] if mod in value['info']['mods']]\n",
|
|
" if not group_a or not group_b:\n",
|
|
" print('(skip)')\n",
|
|
" continue\n",
|
|
" \n",
|
|
" print(len(group_a), group_a[-1]['info']['timestamp'])\n",
|
|
" print(len(group_b), group_b[-1]['info']['timestamp'])\n",
|
|
" plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out=f'{mod}_p{pitch}', do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "559e538d-efb6-4500-8f32-757cc8ba6f35",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Can we distinguish baseline versus patched traces?\n",
|
|
"\n",
|
|
"Patches are done using small wire loops 3~5 mm in length. This should be quite difficult."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 95,
|
|
"id": "3dc56847-7f42-4ca7-b001-f87333ff088a",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"10 2025-07-09T14:51:57.358Z\n",
|
|
"10 2025-07-09T14:55:25.582Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.983033\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.987±0.00119 min: 0.984 max: 0.989\n",
|
|
"Cross class: 0.95±0.0828 min: 0.699 max: 0.983\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.346782600833\n",
|
|
"EER: 0.07787610619469026 th: 0.9830982899836443\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.313374\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.514±0.0649 min: 0.315 max: 0.628\n",
|
|
"Cross class: -0.0978±0.813 min: -2.45 max: 0.523\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.306497894003\n",
|
|
"EER: 0.12000000000000001 th: 0.4415850066114029\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 95,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x300 with 2 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"group_a = [value for value in data_runs[f'patch-attack-25-07-09-01-p0.3'] if not value['info']['mods']]\n",
|
|
"group_b = [value for value in data_runs[f'patch-attack-25-07-09-01-p0.3'] if 'loop_patch' in value['info']['mods']]\n",
|
|
"\n",
|
|
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
|
|
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
|
|
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_p0.3', do_lines=True)\n",
|
|
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='patch_p0.3_minmax', do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "fcd32eba-f122-42c2-b686-06243f200767",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Can we distinguish baseline versus a soldering iron touching one trace in one point?\n",
|
|
"\n",
|
|
"The soldering iron was touching the trace across the whole measurement series. The iron affects trace biasing, and thus in the moment the trace is touched/released there would be sharp steps in the measurements."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 96,
|
|
"id": "2d6dc98b-dcca-420f-8054-3604b575442e",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"10 2025-07-08T18:27:52.545Z\n",
|
|
"10 2025-07-08T18:26:12.449Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.984799\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.986±0.000537 min: 0.985 max: 0.987\n",
|
|
"Cross class: 0.936±0.00569 min: 0.923 max: 0.944\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000000000\n",
|
|
"EER: 0.0 th: 0.9842857435867194\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.414871\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.54±0.0404 min: 0.437 max: 0.629\n",
|
|
"Cross class: -0.839±0.328 min: -1.41 max: -0.377\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000065988548\n",
|
|
"EER: 0.0 th: 0.4237879413778003\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 96,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"group_a = [value for value in data_runs[f'attack-soldering-iron-25-07-08-01-p0.3'] if not value['info']['mods']][-10:]\n",
|
|
"group_b = [value for value in data_runs[f'attack-soldering-iron-25-07-08-01-p0.3'] if 'probe_points' in value['info']['mods']][-10:]\n",
|
|
"\n",
|
|
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
|
|
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
|
|
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='soldering_p0.3', do_lines=True)\n",
|
|
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='soldering_p0.3_minmax', do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "02d9d0e3-52e9-4da4-9412-96239f20de9a",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Can we distinguish baseline versus a trace with a 30 mm wire solderted to one point?\n",
|
|
"\n",
|
|
"The wire is standing up diagonally from the board to emulate soldering."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 97,
|
|
"id": "84b40097-feba-491e-9240-ea5dd031556f",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"10 2025-07-08T18:27:52.545Z\n",
|
|
"10 2025-07-08T18:42:06.356Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.984799\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.986±0.000537 min: 0.985 max: 0.987\n",
|
|
"Cross class: 0.979±0.00436 min: 0.971 max: 0.985\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.095942766287\n",
|
|
"EER: 0.006896551724137931 th: 0.9849765969646525\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.414871\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.54±0.0404 min: 0.437 max: 0.629\n",
|
|
"Cross class: 0.281±0.191 min: -0.253 max: 0.534\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.240736936325\n",
|
|
"EER: 0.11071428571428572 th: 0.4874180862770304\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 97,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"group_a = [value for value in data_runs[f'attack-soldering-iron-25-07-08-01-p0.3'] if not value['info']['mods']][-10:]\n",
|
|
"group_b = [value for value in data_runs[f'attack-soldering-wire-25-07-08-01-p0.3'] if 'probe_points' in value['info']['mods']][-10:]\n",
|
|
"\n",
|
|
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
|
|
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
|
|
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='antenna_wire_30mm_p0.3', do_lines=True)\n",
|
|
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='antenna_wire_30mm_p0.3_minmax', do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "3fa77522-c3cc-4621-9f16-b62c59ebd51e",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Environment sensitivity (RF/EMI): Can we distinguish traces taken in different environments?"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 98,
|
|
"id": "01583c7d-4db8-4460-9b39-9519a25a2e56",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Pitch 0.3\n",
|
|
"10 2025-07-08T09:06:33.827Z\n",
|
|
"40 2025-07-09T11:02:20.361Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.277766\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.494±0.0699 min: 0.261 max: 0.613\n",
|
|
"Cross class: 0.456±0.0831 min: 0.159 max: 0.616\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.983801298679\n",
|
|
"EER: 0.43344155844155846 th: 0.4819268680028571\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.998123\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.999±0.000158 min: 0.998 max: 0.999\n",
|
|
"Cross class: 0.998±0.000146 min: 0.998 max: 0.999\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.921090860452\n",
|
|
"EER: 0.20936863543788187 th: 0.9984578039815136\n",
|
|
"Pitch 0.4\n",
|
|
"10 2025-07-08T09:07:51.026Z\n",
|
|
"40 2025-07-09T11:04:11.189Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at -0.224840\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.224±0.145 min: -0.362 max: 0.441\n",
|
|
"Cross class: 0.267±0.113 min: -0.268 max: 0.464\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.999993051377\n",
|
|
"EER: 0.5554098360655737 th: 0.2775342125686779\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.999378\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.999±2.18e-05 min: 0.999 max: 0.999\n",
|
|
"Cross class: 0.999±4.11e-05 min: 0.999 max: 0.999\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.453639992261\n",
|
|
"EER: 0.12044817927170869 th: 0.9994190026494827\n",
|
|
"Pitch 0.6\n",
|
|
"10 2025-07-08T09:09:21.205Z\n",
|
|
"40 2025-07-09T11:05:28.560Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.566647\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.667±0.0325 min: 0.58 max: 0.725\n",
|
|
"Cross class: 0.588±0.22 min: -0.767 max: 0.737\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.537913982010\n",
|
|
"EER: 0.30085959885386815 th: 0.6502563696561604\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.999525\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 1±1.34e-05 min: 1 max: 1\n",
|
|
"Cross class: 0.998±0.00646 min: 0.958 max: 1\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.433887270347\n",
|
|
"EER: 0.4936708860759494 th: 0.999358371402196\n",
|
|
"Pitch 1.0\n",
|
|
"10 2025-07-08T09:10:32.399Z\n",
|
|
"40 2025-07-09T11:06:46.749Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.792268\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.854±0.02 min: 0.809 max: 0.884\n",
|
|
"Cross class: 0.829±0.0275 min: 0.728 max: 0.884\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.906439881433\n",
|
|
"EER: 0.3001834862385321 th: 0.8454077477751026\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.999382\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.999±2.52e-05 min: 0.999 max: 1\n",
|
|
"Cross class: 0.999±5.62e-05 min: 0.999 max: 0.999\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.236271716980\n",
|
|
"EER: 0.05526315789473685 th: 0.9994114903583199\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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Qu7s7RUREUGZmJu3fv5+qV69Obdq0oZs3bxIR0ZkzZ6hp06ZUrlw5atOmDXXt2pW8vb2LJPrI/qncniVLllDjxo3pxRdfVN8KMjIyaMeOHfT333+rN+d7ie0tICMjg9LS0ighIYGSkpIoLS2N9u3bRxcvXqSWLVtSxYoV6dq1a4L8MTEx1KtXL/rnn3/uuVwlHVlETyIpQi5cuIAmTZqgY8eO+O6779T17dq1w8mTJ7F3715UrFhRXf/pp5+qkTQvvPACatSoUajy0Z3ktfXr12PhwoUoW7YsGjdujFGjRgEAli5divnz56NBgwZ49dVXCy0aCsgpthcTE4OJEyfi3LlzOHfuHPz9/TFmzBgMGjQI3t7eiImJwdChQxEbG4uDBw8iICBAPQ+z2QydTldoMpZYilcvSSSliz///JOqVKlCAwcOpF27dhER0axZs0hRFGrYsCF16NCBevToQePHj6eLFy9SUlJSkcsYHR1NWq2Whg4dSu3bt6d69erRkCFD1PklS5ZQ8+bN6dlnny00f4Ltqf/vv/8mHx8feumll2jZsmX0xRdfUJ8+fUij0VDfvn3pwoULRER09OhRat26NYWFhVFCQkKhyFSakIpBIili1qxZQ82aNaMXX3yRXn75ZfLz86PVq1dTbGwsRUdH05w5cyg8PJyCgoKoZcuWZDKZhOikwuTUqVO0ZMkS+uSTT4iI6ObNm7Rw4UKqVq0avfjii+p2CxYsoEcffVQNWS0Mrl27Ro0bN6Y333xTWJ+WlkZffPEF6XQ6GjFiBBFlK5Jjx45R3bp1qU6dOmSxWITqqpKCIRWDRFJE2N+ofv31V3rooYfIzc2N5syZ47CtyWSi33//3SHksjA5c+YM1atXj4KCgoTs4cTERPr8888pPDychg4dKqwvTHbt2kV16tRR30q4cvzwww9JURTauHGjui4mJkY6m+8BMvNZIikiFEVRM4SfeuopvPvuu6hTpw7279+PXbt2qdvZ7OJdu3Yt9Cqp9ri5ueHJJ58EEWH79u3qeh8fH/Tp0wfjx4/HqlWrVH9DYVckPXbsGBISEvJsONStWzcEBgbi6NGj6rqaNWsK3esk/w5ZXVUiKUJsykFRFHTq1AlGoxHvvPMO5s2bB0VR0KJFiyJzltrksFG+fHmMHj0aer0eS5cuxdSpUzF9+nQA2Urg2WefhU6nQ+vWrdVzKUzCw8Nx69YtrF+/Ht26dXPo+latWjV4e3vjypUrhSpHaUQqBomkkLDdeHfu3AkXFxc0b94cgKgcnnrqKQDAe++9hxkzZmDatGlo2rRpkcm2d+9eHD16FLdu3cITTzyB2rVrY/To0QCgRk3ZlIOPjw8GDBhQ6ArBRvny5VGrVi18+eWXqFatmtoqlIhgtVqRmJiIgIAA9bpK7h3SlCSRFBKKomDz5s3o0qULrl+/jqysLGHO3qw0duxYGI3GIus1rCgKfv75Z3Tq1AmRkZFYtGgRHnroIcyePRt6vR6jRo3C888/j1WrVmHcuHHC54qK6tWr45VXXsHvv/+Od999FwcOHFBlcHFxwbx583D58mU0a9asyGQqLcg8BomkkLh+/To+++wzuLm5Yfz48bluY2/OSU1NhaenZ5HIduLECXTo0AGzZs1C79694e7ujnfffRezZ8/GlClT8Nprr+Hy5cuYN28etm7dijVr1sDf379IZAPE6/Lee+/hnXfeQWBgIHr27Akg+9r+8ssv2Lx5Mxo3blxkcpUWpGKQSO4xRISYmBg0atQI5cuXx6RJkzBkyBCn29ublwpLJiDniX/r1q1qOe/KlSur9vsZM2bgvffew9GjR1GlShVcvXoVLi4uRaoUbNgS3ABg1apV+O233xAdHY2goCA0atQIo0ePRs2aNQtdDluPaNu/pQHpY5A8sBTmjfTfYpOpdu3aeOWVVzBv3jwcO3bM6duA7RwK81xs+165ciXq1KkDFxcXXLp0CXq9HhqNBhkZGXBzc8OECROwePFiREdHo0qVKggMDCw0mfLCphA0Go369zPPPINnnnkGRqMRer2+SG7Sly9fxs2bN1G/fn2sXLkSiYmJGDhwYKlQDlIxSB448nrCLk5FYTu2/fHnzp0LIsL8+fPRsGFDPPfcczAYDMUiHwAcOHAAvXr1QmRkJF566SU89NBD6NevH9auXQsPDw8QkarAfHx8Cl0e2zU7fPgwYmJikJGRgXbt2gkhuvaRSESk9rXmEUr3mpSUFIwaNQpGoxEdOnTAG2+8ga+//rpUKAVAmpIkDxi2m8mff/6Jn376CWlpaShfvjxmzZpV7DJt374dGzZsQEZGBkJCQvDaa68BAEaNGoXFixfj888/R+/evYtFORw9ehR79uzBjRs3MGHCBADA2rVrMXPmTGi1WixatAgZGRlYtWoVPv/8c+zevRuhoaGFLldUVBTGjBmDihUrwt3dHdHR0Vi5ciW6detW6MfOj99++w0TJ07EsWPHMGPGDEycOFEwb5VoCj2FTiK5x6xcuZK8vLxo+PDh9M4771DZsmWpXbt2dPv27WKTKSoqiry9vWnAgAH00ksvUbly5eipp55S50eNGkVeXl70xRdfUEZGRpHIZMu0vnTpEjVu3Jg8PT1p+vTp6rzJZKJ169ZR27Ztyc3NjapVq0bh4eF04MCBIpHvwIED5OfnR1988QUREZ0+fZoURRFkLA5sGdaXLl2iWrVqUfXq1alnz55qZdvSUGpDKgbJA0V8fDzVr19fLSNx+fJlCg4OpldeeUXYrij/8164cIGqVatGn376KRFll5bw8/Ojl156SSjjMGDAAAoKCiq0UhK2Y9l3T7OVnJ43bx5Vr16dWrVqletnd+zYQUePHqX4+PhCkS03Vq9eTT179iQionPnzlHFihWF79HWkKgov0vbsWJjYykjI4NiY2Ppl19+ofbt29PTTz/toBwKu1NdcSEVg+SB4syZM1S3bl0ym8106dIlqlChAr388svq/IYNG4pMFtvNYf/+/VS/fn0iIrp48SJVrFiRhg8frm63ZcsW9e/CvvGeOnWKBg0aREajkX788UdSFIVOnz6tFp6rXr069evXL1clUtTMnTuXWrZsSadOnaJKlSoJinTt2rU0fPjwQusbnRu27/OXX36hatWq0YoVK9S5H374gdq3b0/du3dXlcOsWbNo6dKlJfINQioGyQOBrc/xpUuXqGHDhvTVV19RaGgovfzyy+rN7ezZs/T000/T9u3bC1UW243A9kR7+PBhatGiBW3YsIEqVapEL7/8MpnNZiIiOnbsGA0YMEA1zxT2TeTIkSOkKAo9/PDD5OLiQsuWLVPn0tPTKTIykho1akQvvPCCKktR9pC2Z/v27dSqVSsqW7YsDRo0iIhy3nrGjh1LvXr1KvKy46tWrSJ3d3eaM2eOQ0nxn376iTp27Eh16tSh3r17k6IoRdI4qTiQikFy32K7ce3YsYO+++47unTpEqWmptLTTz9Nbm5u1KNHD2H78ePHU7NmzYrEHLJ//37q2bMnXb16lS5evEgNGjQgrVZLAwcOFLb73//+R23btqXr168Xuky2G7yt6mizZs3UjnA20tLSKDIykpo1a0bdu3cvkqdd2zEOHz5Mf/zxB+3cuZOIspXA4MGDyc/Pj+bMmUOJiYl08eJFmjBhAvn5+dGxY8cKXTZ7rl+/Tk2aNKEPP/yQiIjMZjOlpaVRVFSU2n9769atNHHiROrTp0+Ry1eUSMUguS+x3Ux+/vln8vb2punTp6u9hnfs2EFhYWH05JNP0pdffknr1q2jkSNHko+PDx05cqRI5Pv+++/J09NTfWJcu3YtaTQaevHFF2nt2rW0e/dueu2118jHx4f+/vvvQpfHdr2sVit99dVXNH36dPLw8KCePXs6lKFOTU2lTz75hFq3bk2XL18udNmIsp/E3dzcqHr16qTVamnixIlElK3M+vfvT/Xq1SM3Nzdq0aIFhYeHF1nvaHsuXLhAlStXpq1bt1JycjJNnz6d2rRpQy4uLlS7dm3avHmzuq3tjbCkIhWD5L7C/gl2z5495O/vT4sXL3awhf/555/Uq1cvCgoKovr161P79u0LXSlYrVZBvh49etCjjz5K6enpRJRtm27atCkFBARQnTp1qEWLFnT48OFClckmFxHR5s2baeLEierbycGDB1XlcPHiRXV7m1mrsPsp2GRLTU2lDh060OLFi+nUqVP01Vdfkaurq9pkx2Kx0PHjx2nFihW0e/fuIlNWudGlSxfy9/enoKAg6t69O82ZM4dSU1OpZs2aNGbMmGKTq6iRikFyX3DgwAHKzMwU1s2fP58efvhhSktLU9fZP6mZzWa6fv063bx5k1JTU4tMVpsdPCoqipo1a0Y7duxQ565fv06nT5+mixcvFsmN10ZUVBR5eXnR+PHjadeuXaqyOHToEHl4eNCzzz5L27Zto2nTppFer6erV68Wqjy246ekpFBiYiK9+eabQre31atXk6urK40cObJYfBw2+Y4dO0Zbt26ln3/+WZX3iy++oC+//JISExPV31u/fv1o+vTpJdLRnBtSMUiKna+++oqaNGnikIfw+uuvU7NmzdSxfejngQMHiuTJ0nYjOHDgALVu3Zr279+vPpGnpaVRw4YNqU+fPoUuhzOOHz9OwcHB9NlnnwnrbTe1w4cPU4UKFahBgwZUvnz5IstTWLVqFT388MPUqFEjCg4Opt27dwvzq1evJg8PDxoyZAgZjcYikYko5zuNioqiypUrU8OGDalq1apUt25d1f9h4/bt2zR58mQqW7asGvpbGpCKQVKsLFmyhJKSktSm7leuXFETwFauXElarZbWrFkjfCYtLY3Gjh1Lq1evLpInuJUrV9Knn35Kjz/+OIWFhdEzzzxDUVFRRET0119/Uc2aNWnt2rWFLkderF69mho2bCg4mm1K1PZvXFwc7dmzp1B7NNuzb98+CggIoJEjR9L48eNJr9dT37596dKlS8J2P/zwAwUGBlJCQkKRyGVjx44d5OvrS0uWLCEiopMnT5KiKLRgwQJ1m40bN1L37t2pcuXKxeLzKE6kYpAUG1OnTiVFUejs2bNElB1qWaNGDVq2bBmlp6dTSkoK9evXj8LDw+nXX38louwQ0cmTJ1NgYKD6ucJkz549pCiKmp37448/0ogRI0ir1VKfPn1owoQJ9MQTT9B7771X6LLkxbfffksVK1YU/Ag2Nm/e7HAzLmxOnTpF77//Ps2YMUNdFx0dTTqdjgYNGuQgT0pKSpHKR0QUGRlJ/fv3J6JsecPCwuill14StomNjaUFCxbQmTNnily+4kYqBkmRY7VaKS4ujmrVqkU//fQTEREdPXqUiIgef/xxatSoEX333XdktVrpxIkTNHz4cHJxcaE6depQw4YNKTg4uEie4I4dO0aLFi3K9aa/e/duGjx4MLVs2ZIURaFKlSqpTuiiZvv27eTh4UGfffaZQ7TMyy+/TG+//bZghissrFYr3bx5k0JCQkiv1ztko2/dupV0Oh0NGTKEYmNjC10eLhsRqVFkr776KvXq1YtSUlIoJCRESK5btGgRffDBB0Uq3/2GVAySIsf2H7Bjx47Uq1cvWrp0Kfn4+KhPZt27d6c6derQ999/TxaLhSwWC23ZsoU++ugj+vrrrx3CLwuDixcvUpMmTcjLy4veffddIsrJErbJn5KSQrGxsTRu3LgiDUndu3cvfffdd/Tee++pfpZ33nmHtFotffLJJ3T8+HGKjY2lN998k/z9/enkyZNFJhtRdsRYeHg4tWzZkvbt2ydst23bNlIUhUaMGFHkTue1a9dSmTJlaPfu3bR582Zq1qwZ+fr6qm8Ktu/11Vdfpb59+xZpQMP9hlQMkiJl8ODB1Lt3bzKbzfTLL79QzZo1SVEUmj9/vrCdTTl8++23QlRSUZGUlEQffvghValShdq1a6euL64sYRs///wzBQUFUfv27alJkybk7++vOp1nzpxJgYGBFBAQQHXr1qWwsLBCf7Pi2dO2m+uWLVuocuXK1L9/fwcZduzYoeakFDY2+eLi4mjIkCGqD+HChQv09NNPU3h4OH311VdERHT16lWaOHEilStXrsjku1+RikFSZHz99dcUGBio5hts3LiRvLy8qEqVKjRo0CC1xISN7t27U6NGjWjx4sUOoaz3GvsnXps5xpYlHBYWRi+++KI6X1zK4dChQxQcHKyWuUhNTSVFUej9999Xtzl69Cht3ryZNm/eXOiOZvv8iZEjR1K/fv1o5syZaijshg0bqHLlytSvX78iyefIiz179tCzzz5LzZo1EyKyDh06RN26daOwsDAKDQ2lli1bUmhoaKlzNOeGVAySImP27NlUu3ZtIsp+onzyySdpzZo1tGTJEmrZsiX169fPIWS1ffv21Lp160KtmWO7wW3atInGjBlDjz32GC1cuJDOnj1LFouF5s+fTw0aNKAhQ4aonyls5bBz506Ha/H7779Tp06diIgoJiaGQkNDaejQoer8jRs3ClWm3Fi1ahUZDAYaOnQodezYkZo0aUKhoaGqI3zjxo1UrVo1evrpp4vE3JYbf/zxB9WrV490Op1QO4oo+01i586dNGvWLPrtt99ydeCXRqRikBQZmzZtombNmlGnTp1IURT6/fffiSjbdv/ZZ5+pyoEnhtnq1BQmq1atUns8TJ48mSpUqEBdunShq1evUnJyMs2bN48aN25MvXv3LlQ5rFYr7du3jxRFoXfeeUdQiB9//DE1b96cEhMTKTQ0VHCY/vLLL/S///2vSM1u169fp4YNGwqO2qNHj1LHjh0pLCyMrl27RkRE69evpwYNGhRrRvOOHTuoRYsW1K5dO9q0aVOxyfGgIBWDpEgZOHAgKYpCjzzyiLDebDarymHAgAEOZqXCJC4ujho0aECRkZFElH1z9vLyojfffFN9m0hLS6MPPviAHn744UIz0dibsz788EPSarX07rvvqory/PnzVLduXdLr9arD1PaZ//3vf/TEE08USrMi2zFsJbBt4/Pnz1NgYCBt3LhR3TYrK4sOHTpEjRs3pk8//VRVXEWhsOxLlpw8eZK2b99Ou3btUpPnoqOjqVWrVtS9e3ehFHppyWYuCFIxSAoF2w0hPT2dMjMz6fTp0xQfH08tWrSgwYMHU7NmzWjIkCFCN7OsrCyKjIykWrVq0UsvvVRo/2F56OalS5eoUaNGlJaWRqdOnaIKFSrQsGHD1Pldu3aRxWKhlJSUQlNY9l3DbHzyySekKAq9++67lJSUROnp6TRx4kQKDw+n8ePHE1H2DTAiIoLKlClTqNU+b9y4Qf7+/mo+BxFRZmYmPfTQQ2pBPBtWq5WaNWtGo0aNEtYVNvaFF0NDQ6lixYoUGhpKNWrUULOW//jjD2rdujX16tWL1q1bV+gyPahIxSC559hucidOnKAePXpQ3bp1SavVUocOHVSb+Lx586hJkyY0dOhQwbFsNptp0aJFhRaSev78efriiy8EB+Phw4cpMDCQoqOjqWrVqjR06FD1HI4cOUJ9+vSh/fv3F4o8RDnX69ChQxQaGio0G7Iph5kzZ5LFYqFr167RxIkTKTQ0lLy9valevXpUq1atQneY2rLNXV1d1Sgek8lEo0aNopYtW6qZ4DaeeeYZmjRpkkPhwcKSzcbOnTvJ09OTvvzyS4qJiaGdO3dSp06dKCgoSA2H/uOPP6hOnTrUv3//Yol4exCQikFyT7HdBP7++2/y8fGhkSNH0qJFi+jnn3+mbt26kUajoeeee45u375Nn332GTVu3NhBORQWf//9N1WvXp2eeeYZ1b9ho2/fvqQoioMPISIigpo2bVpo5iObUjh8+DAZDAaKiIggIvEJ++OPP1Z9DlarlYxGIyUkJNC3335L+/fvL7IyF0lJSTR58mRSFIW++eYbIiK6efMmde7cmZo3b05jxoyhH3/8kUaNGkXe3t4UExNT6DLt37+fqlatqpZUWbhwIXXo0EEIDkhOTqYOHTpQgwYN1FyUHTt2FEk+zIOKVAySe861a9eoUaNGNGHCBIf18+fPJ4PBQIMHDyai7DeHli1bUp8+fQpVOcTExFCZMmVowoQJuTpBt27dSu3ataPq1avTpk2b6Oeff6bXX3+dvLy8Ci3U0l4puLm5qUrBhn0HMfs3h8Ku2spNbWazWVBUrVu3JkVRaPny5USUrRzeeOMNatmyJVWrVo3atGlTJJ3NDh8+TF5eXkI57GnTplG5cuUE2YmyQ2fDwsJKdHOde4lUDJJ7zsGDB6lu3bp09OhRh8SnxMREmjFjBun1etq0aRNlZGTQjBkzqEOHDoX25Juenk69evWikSNHCutNJhPFxsaqNZeOHj1Kzz77LPn4+FC9evXoscceK/QeD6dPnyaDwUCTJk0iopw3hXfeeYe6du0qXJNPPvmEdDodTZ48udBbXl68eJE++eQTdWz7/t5//30KCAhQW1vaitBlZWWRxWKhq1evFknG8JEjR8jd3Z3eeustYf2uXbuoWbNm9P777ws9PPbv30+hoaFF1sjpQUcqBsk9Z+nSpWQwGNQxtzGfO3eOfHx81BpEGRkZDi0o7yUmk4kefvhh+vTTT9V169evpzFjxpC3tzdVqlSJunTpos6dOXOGUlNTC70RvcVioYiICAoICKA5c+ao6999913y8fGh9evXE5GYM/Huu+9SmTJlCjVnISsri8aPH0/Vq1cXkudmzpxJZcuWpU2bNpHZbKZJkyaRoiiqz6GoiI2NJX9/fwez37x582jYsGE0dOhQateunfr7SklJoYkTJ1KtWrUKvQ9FSUEqBsk956+//iKDwaA2P8mNRo0aFVlHrKSkJKpZsyYNGzaMYmJi6N1336UaNWpQz5496ZNPPqHFixdT1apV6fXXXyeios1svnz5Mr322mvUvHlzioyMpPfff5/8/PxUpZAbhalEbVy6dEmQ64MPPiA/Pz/BN5OamqpWyP3+++8LXSYb58+fp6ZNm9LTTz9N27dvJ6Jshenh4UGHDh2i27dv04gRI6hmzZrk7e1NLVq0IH9/f5nRXACkYpDcc+Li4qhcuXL09NNPC5mkNnPErVu3qFWrVvT1118XmUxbtmwhrVZLoaGh5OXlRQsXLqTTp08TUfYbRadOnWjgwIFFJo898fHxNGrUKKpRowZptVo1xt6+UuqUKVPUzOuiqJR6t3KlpKTQzJkzi7y20KlTp6hLly709NNP07Bhw6hcuXJCNFdKSgqdPn2a5s2bRz/++COdO3euSOV70JGKQVIoREVFkaurKw0YMMDB4Tdp0iSqXLmyGklSVMTGxgod2GxYLBZ69tlniyy8MjcSEhLo1Vdfpfr169NHH30kzE2ZMoUMBkOhhswWVC575VBcCWInT56kjh07kpubmyBbcRc6LAlIxSApFLKysmjhwoWk1WqpRo0aNHjwYJo4cSL169ePypYte9+81huNRpo0aRKVL1+eTp06Vayy2J7QmzdvrtrH33nnnWJTCs7kIro/bsBnzpyhTp06UdeuXemvv/5S18ts5v+GQkQEiaSQ2LNnDz744AOcPHkSvr6+aNiwIUaNGoWaNWsWt2hYsWIF9u3bhx9++AHr1q1Do0aNilskJCQkYObMmThy5AiMRiP+/vtvbN++HQ899NB9IdehQ4fQoUMHTJ8+vVjlsef06dN49dVXQUSYPHkyWrduXdwiPfBIxSApdCwWCzQaDRRFgdVqhUajKW6RcPLkSQwfPhxlypTBzJkzUatWreIWSSUhIQFvvfUW/vrrL/z0009o2LBhcYsEIFuuiIgIXLp0Cd9//z38/PyKWySV06dPY+zYsbhx4wbmzJmDFi1aFLdIDzRSMUgKHSKCoigOfxc3165dg16vh4+PT3GL4sD169dhtVoRGBhY3KIIXL16FQDuO7kA4J9//sHkyZMxe/ZsVKpUqbjFeaCRikEikZQYTCYTXF1di1uMBx6pGCQSiUQiUPzGXolEIpHcV0jFIJFIJBIBqRgkEolEIiAVg0QikUgEpGKQSCQSiYBUDJL/jNFoxLRp02A0GotbFAfuV9nuV7mA+1e2+1WuEkmxFOKQlCiSkpIIQKE3j/k33K+y3a9yEd2/st2vchWErVu30pNPPknBwcEEgFatWpXvZ6Kjo6lx48ak1+spLCyMIiMjC11O+cYgkUgkRURaWhoaNGiA+fPn39X258+fx+OPP442bdrg0KFDeOutt/Dqq68iKiqqUOXUFureJRKJRKLStWtXdO3a9a63X7hwISpVqoS5c+cCAGrVqoX9+/fjo48+Qs+ePQtJSqkYSh1WqxVXrlyBl5fXPatZlJycLPx7P3G/yna/ygXcv7LdC7mICCkpKShfvny+xRwzMzNhMpnuap/8/5Jer4der//XctrYtWsXOnXqJKzr3LkzFi9eDLPZDJ1O95+PkRtSMZQyrly5gpCQkELZd2Ht915wv8p2v8oF3L+y3Qu54uLiULFixTznMzMzERAahtRrCfnuy9PTE6mpqcK6qVOnYtq0af9VTCQkJDgULAwMDERWVhZu3LiB4ODg/3yM3JCKoZTh5eUFAHj9YCz0nt4AgAvf7Ra20ehchLHVmKX+rfUQn4KsWRZh7KIXn2CsJnGex8HZntoq+rljQs+amDw3GhevJAEA3EOChG3JLO7LkpkpjN2CxDLQ5jRx3mrKEsZkydmf1sMgzlnFEmLpceINQuflIZ6HgT0dsuuiuOZcFzKZ4QxTovhErLiI34fO21MYm1PShLGLW95PqhpX9oTJztN487bTY2k93IUx/w4UTY6sCzuJdvAR254XD82ug85T3DeRVRibbonXxVCujPp38qmLwpx7iHjDdLlz3ubMNPw4/Wn1/0FemEwmpF5LwOt7L6r/T3LDmJqMOc1CERcXB2/vnO3uxduCDf42QnfK2xVmlWKpGEoZth+T3tMbBq/sH7Krgd3kuGJQ7BSDm3gDtZrFm62LQaxsadWI89CIP2aNS7ZiMLi7w9vbG3qDB3Su5lzlIhfxZptFopyubuJNTLGw89A4UQwG54rB7CretHR6UTYXphi4EtPYKUyr4lwxkF6U00ExsOsCkyiri148F3FOVAz8PK2uYigoP0+dQbwO/Duwl9XbU/wt8O/TqmGKweBcMZBevKb237eOfT/8WC5MId7tTdXV3ROuHp55zpM1W0Zvb29BMdwrgoKCkJAgPpRcu3YNWq22UPthSMVQSrnw3W71P0+VAWLHq4vf7xXGOi839e/M60nCnFuFfH6c/AbJlI4lM9uGa83Kvhm6+vnAYM7ehizijcFeDsBRCZlui6/zCjuWi4G9zRhzbg6WTPEmZa80AEDvX8bpvIbdvC1MdtsNBABc3EUlYryRKIzdypcT95Uu3qy5MjYw2TISrgtj17K+6t9cyWi04g1S6yXeBHXe4g1WYYqdK0R7skziNTD4izfOtFhRTkUrvk5a0sXvxODvK4ztr4P9OQKAq48otykp+63Kks/bmgNWcnircpgvRFq2bInffvtNWLdx40Y0adKk0PwLgExwk0gkkjyxZlnzXQpCamoqDh8+jMOHDwPIDkc9fPgwYmNjAQAREREYMGCAuv3w4cNx8eJFjB07FjExMViyZAkWL16McePG3bNzzA35xiCRSCR5Qfm8MRSwnc3+/fvRrl07dTx27FgAwMCBA7Fs2TLEx8erSgIAwsLC8Pvvv+P111/HZ599hvLly2PevHmFGqoKSMUgkUgkeUJWq2AGzG2+IDz66KOq8zg3li1b5rCubdu2OHjwYIGO81+RiqGUotG5qPZ+7lMI7dNMGNtHLXGfArHoGyvzKWSxyCC3QN/c5XHN/im6uOpU34HN/6Dui425I5X7FHgUkluwaIu3fxI0J2eI+3YT/RfpV24IY62H6O/gvhNuL7ePBuLROMYbN4WxJUO8Ztzu7+orjrnPwWoU929/Hfm+XVgwQVaqGOGkZf4Qfix+HUyJOX4eDfNHZDFfCfe1aD2dBwA4/Jbsvs+MhFvCnIVdA5tvhPtI8oOyrCAn5iJncw8yUjFIJBJJHpCVHBQUny+JSMUgkUgkeSAVg0QikUgEKMviYC7l8yURqRhKKVZjlpq4xvMDeCZ05edbqH/HRR0Q5nh2seLCbeviT8x4K0UY2+zOpjvJa4pGo+YEWMi5jZnnDhhvsszYAB9hbMkQfRTmlBy/Arf7m9NEn4NGJ56HOVm0xZuTxPPiWdv2uQjc+ahxFf0ZLu7i98Ht4o4+CjFb2a2iWELBkpFzbNcyvuIc89tYWW0g023xmuqYv8Pep5A9n5NopjOI3w/3MfA8lYx48Tz4b4n/To03c655ft+P3i87h8Ih4TIf5BuDRCKRSEQI+YSrFpkkRYpUDBKJRJIHVosVVkvekUfO5h5kpGIopWg99Grdo/zKXNibj0J6PiTMXfrtiDDOvCqaA7ipwvZKb8NWw8ZmCrAYzci6Y/rQlxELnXETDA8VdAsqK4x1LPzRnCqaolzL5JhFuK3YlCiaIrhZA6zWDi9cx2vz2Ep+AICLVvxv5+LGQl/ZZ+3NM4DjNeVmq8yrLHTTLkTVlV9TFl6s82HfDys7wkNKXbWiaSnLzmxlZU/avCSGkZUw4XDZOPamRF66wzHMNntfvOhjvhRzSYziQioGiUQiyYN7neD2oCBrJRUS6enp6NmzJ7y9vaEoChITE3NdV7lyZbU7k0Qiub+wJbg5W0oiUjH8C+Li4jBkyBCUL18erq6uCA0NxWuvvYabN3MyWJcvX46//voLO3fuRHx8PHx8fHJdt2/fPrz00kvFeDYSiSQvbFFJzpaSiDQlFZBz586hZcuWqF69Or777juEhYXh+PHjeOONN7Bu3Trs3r0bZcuWxdmzZ1GrVi3UrVtX/Wxu6wICAorjNGDNsqjlDfIrc2Efksp9ChWfaiCMz6/YKYy57Zej9bxTCuOOTdhFr1XLY9vbqwE42PW5rZ3blblPgZdzsC+dzUt5uPqyss3M5+AA83+YU9OFsb2tPvVivPjRLFEuHnrJmwTxMhY8fNV0O1EYe4RWsJsTw2p5cxyOmZXIyIwXS2UbgsXfr1D6I0u8JrbS1zYs7Ps1BPiyefH7dSiRYff5LBZezK+JzV+VXztPTmkNV5VvDAVk5MiRcHV1xcaNG9G2bVtUqlQJXbt2xebNm3H58mVMnDgRjz76KGbPno1t27ZBURQ8+uijua4D4GBKSkxMxEsvvYTAwEAYDAbUrVsXa9asUed37tyJRx55BG5ubggJCcGrr76KtLR8bloSieRfQVYryOJkKaE+BvnGUABu3bqFDRs2YObMmXBjkSRBQUHo168ffvjhB5w+fRoRERE4duwYVq5cCdc7CUwTJkxwWGeP1WpF165dkZKSghUrVqBq1ao4ceIEXO5EXxw9ehSdO3fGjBkzsHjxYly/fh2jRo3CqFGjsHTp0lxlNhqNMBpznqzutwbvEsn9TGl1PkvFUABOnz4NIkKtWrVyna9VqxZu374Ni8UCd3d3uLq6IigoJ5Qwt3X2bN68GXv37kVMTAyqV68OAKhSpYo6/+GHH6Jv374YM2YMAKBatWqYN28e2rZti8jISBgMji0dZ82ahenTp//bU5ZISjf5+RFKqClJKoZ7yH9t0n348GFUrFhRVQqcAwcO4MyZM/jmm2+EY1qtVpw/fz5XhRUREaE2AwGy3xhCQkLgotc5xKjb4PZ2+xh+nqfAfQph/VsJ49if9wtjBzvxHT+AxSP7rcickq6WWXCI52clnsHk5/t2YSUZeJluc0qOH0DnISrV9MtimW2ex+B4rNyvpY3M64nq3+4VxdadScdPC2O9n1genJfd5iW+Ha6Tt5irYF+KwpX5fKzMv5GVLtrqFWaT5z4Fh1ahdmPeNtRqdN7L2pwqHtshj4GVBrH/f2a6mSjMeYRVEMYZ17J/t2Zjwcyusuy2JF/Cw8OhKApOnDiB7t27O8z/888/KFOmDPz9/f/V/rl5imO1WvHyyy/j1VdfdZirVKlSrp/R6/XQ6/PuyyuRSPKGiJw21nE29yAjnc8FwM/PDx07dsSCBQuQkSE+3SQkJOCbb77Bc88996/fGOrXr49Lly7h1KlTuc43btwYx48fR3h4uMOSm89CIpH8R6zIyX7OdSluAQsHqRgKyPz582E0GtG5c2ds27YNcXFxWL9+PTp27IgKFSpg5syZ/3rfbdu2xSOPPIKePXti06ZNOH/+PNatW4f169cDAMaPH49du3Zh5MiROHz4ME6fPo1ff/0Vo0ePvlenJ5FI7LBmWfJdSiLSlFRAqlWrhv3792PatGl47rnncPPmTQQFBaF79+6YOnUqypYtm/9OnBAVFYVx48bh+eefR1paGsLDw/Hee+8ByH6j2Lp1KyZOnIg2bdqAiFC1alU899xzBT6O1WTJKUGcTztO+9LZPHeA5ylwn0KlXk2E8bll20U57uQSWO9EdygajWp75qWTeWy6i0E0kXHbO8894CXAhXNhb3kOLStZ+WkejcL9F7wUtmtZX/Xv9EvXhDlDoPNcFt6O03xbjP/XlRHLi2v0eddtymL74teUo9E79+MoijjOSMjJc+B5DByee+DqKvpGLPnIZi+7zlf8rEOtpDvbKpYC3vKIHHJUHOZLIFIx/AtCQ0PzDA+1kVuZi9zWXbhwQRiXLVsWS5YsyXO/TZs2xcaNG+9GTIlE8h8hyifBTSoGiUQiKV3IqCSJRCKRCJTWqCSpGEorGqhx4dw27xboK4zt23Hyfgoc/trNfQpVBj0sjM8u/QsAoCiaO7JoVZs4b2mZX66AQ+8AN/Z5D9HunJmQ41txqLPEayeVEc/bahTt39xebggUQ5btt+d5DLx+EYfnKYDEp1T+nfD92fsV+DXluQS8nhTPHeE+CkUrxq/o/XNyMLSuLAeinOgLsVrEa6z3Y70iWBMcLpt7cE6Nr9TYq3CG7bfhAud+Cwes1uzF2XwJRCoGiUQiyQNrlhVWJ+YiZ3MPMlIxSCQSSV7IqCSJRCKR2FNay25LxVBK0Wg00Nyp/8NzEzj2tXZ4L2NbPwV1W94DgdmRbT4FG1VfbAMACLqzG43BFS7u2bZka7JoU+a5BjwfwKuqWB+HOwZ5DShnc9xfYWY+BG5bp3TRpKBltZcsdrWWko6eFOYMwYGiLEw2nlMBPmbw3AStXc8FV1+x7hK/hsar4pgf28HuD/E7sr+OxnRxjvdj0DD/hiVNzM9w9RFzZHifEPt+DB4hzG/DjqW/c97WAvoYyGIR+nbkNl8SkYpBIpFI8oDI+VtBCbUkScUgkUgkeSFNSZJSRUU/dxjcs00MvPQyLx1hcsl5XeZtJ11YmKetfLYNKwvns4Wl2rCZkPzvfCy4TI4JJsudhZuy8gyZEMMf3QOct6nkspu1ObJpeCgsLw/uJZ4Xf1Tk8wYmi9WUY4JLSxNbqbr6i+GmvNQ1l5vj4iZ+B0at+H1q7VqBar1EuTKJhbq6iqYWt2DnIaS8HLl9lI7iIVb8DS3HSn6bmJzuovnNwVzHIoAsxpzrouEl1Vmosusdc1pmesGiiGyd2pzNl0SkYiilTOhZE97eznMSioOXu4QXtwhFQKPiFqCIEHtzTGuQx2ZFSHJyMmYNLsAHZB6DpDQxeW409IbsJzhXP/HJmzuY7Z9gLSyxy0XPnsLtmt/wzwKOT7+2J/XgMga83CUcUbcJN+68oCRsOcH2JT4F2jvFAcCayRyLLuypkTkz06/cVP82+PsKc9ypmJXOE7vENwRFw5sCiedpX4WTJ8fxxC0XN/bkzM7D1sjIhtbTuTOa7Pav8xGdz1nJ4vdlShSLBRqCxLeb/DqW2V+n6W22CHOTNrYWxg5NgALFY/GkQf5mJBQyZHI5JAUie96YnoqCIDOfJaWKi1eSoLtjNjCY2U2NmVXso0fsI0GytxX/A/KbFs+s5UrHFoFk44YFSLizKvY6UzLMbGFOEW8cFqYoHLJyzeI49UrOTdCdxHPm5jWu8LiCczhPdl3so3V4FJhDFJEH73Qmym28Kd68dd7OI2Ps9683ifsy3RKzpI2sE5q7wtrF5qMYzKl21yk9Vpg7f6mOMObXzEPDKtqy6rr8ughmnHw66tGdbHFTpvg95oc0JUlKFe4hQXC988bAf9z8xmWxeyrSl2FtI5mi4E9qvHQ2f+q3haTa/AkJW06oCsGhZPdXO4Qxl5vfDHQ+oj2dP6G6B+eUreDhqI43a+dhm7w5E1daOq+cz5uT2ZsN+2x+IZA65ifgZSvSr1wX5+1Ko/O3E3OKqMj1AWLZeP598VLYGi27hdidi8Us3qy9wkPEfbHfGf8tmZNF2eyvIQDovHPefjIu3xTmeBtQXvblbpHOZ4lEIpGISB+DRCKRSASszk1JUjFIJBJJKUM6nyWlCjJbQHfyE7jtNovbfu1afTr8R2D2cW7vdmzHyfIF7nzelqOgaBTV2cp9ClUGiFEtF3/cJ4y5bZ7bsLnD2L5ch0N+BpOTtzvlOERyMYex/eddmZ8mI/6GuC8Wk8/zSsjivFW7oVwZYWzv+OY+Azc7PwsApF2MF2UJCRJ3zr9vn7xzR1x0LIos1fk15GVEtB7isbnsmdcS1b/NqaIvi/sYgOzv01lZlNwgq9WhjSufL4lIxSCRSCR5QBbKJypJvjFIJBJJ6UKW3ZZIJBKJPdKUJClVWDIzkUXZsd3cnu5g47ZLRHKoV8NLdvN9GcRsVY6t7LOt7lFWulHNAeCv8NynENq7qTj//V5Rbha7bmQtL+1LUPM8BG6L5vZvh7ajzMeQHi/G1btXyLHlc38Fz5HguQH8GnM/DrFWnzy23t5HwbPF+XfP8xj4eXGsRjEvwj7PwZguXkNegp1novPcD4d8DoX7LHKS1XSe4r7yqy91t5TWBDfnXiyJRCIpzZA1/6WALFiwAGFhYTAYDHjooYfw119/5bltdHQ0FEVxWP7555//clb5It8YJBKJJA/udebzDz/8gDFjxmDBggVo3bo1Pv/8c3Tt2hUnTpxApUqV8vzcyZMnhaKXAQEBBTpuQZFvDBKJRJIHZLWoXdxyXawFC3/9+OOPMWTIEAwdOhS1atXC3LlzERISgsjISKefK1euHIKCgtTFxeXflfi4W+QbQynFLcgPrm7ZNnbTbVb4jtvm7Yq2uQWJNmitO694yezbOucF+mztOG29FKyZZrUYnkMhNGZz5j6F0D7NhPH5FTuFsUOdJzvbvdbgvIhe5rXbwti9othK0siKB/IWmva2fePNJGEOrEeFRWF+G16viBfh45VgU8VCcfbVWnmtJB5Vw/dNvD4R87Vwv43978HNm1XS5XkkTBb+W9Hw9qjMP2Kfg5F+WawP5RUs/k7Nqdn+C55fki9Wcl448M5ccrJY2FCv10OvF/9vmEwmHDhwABMmTBDWd+rUCTt3ir9VTqNGjZCZmYnatWtj0qRJaNeuXQFOouDINwaJRCLJAyJrvgsAhISEwMfHR11mzZrlsK8bN27AYrEgMFDs8R0YGIiEhIRcjx8cHIwvvvgCUVFRWLlyJWrUqIEOHTpg27Zt9/5k7SjSN4Zr165h8uTJWLduHa5evYoyZcqgQYMGmDZtGlq2bFmUovwnHn30UWzduhUAoNPpEBISgt69e2PatGkOTwkSieTBxWYycjYPAHFxcYIPwNl9gEfAEZHDOhs1atRAjRo11HHLli0RFxeHjz76CI888shdncO/oUgVQ8+ePWE2m7F8+XJUqVIFV69exZYtW3Dr1q1/vU+z2QydznlIXWHse9iwYXj77bdhMpmwb98+vPjiiwCQ65OCRCJ5QLlLU5K3t3e+HRH9/f3h4uLi8HZw7do1h7cIZ7Ro0QIrVqy46+3/DUVmSkpMTMT27dvx/vvvo127dggNDUWzZs0QERGBJ554Qt0uKSkJL730EsqVKwdvb2+0b98eR44cUeenTZuGhg0bYsmSJahSpQr0ej0+//xzVKhQwaG/8NNPP42BAweq499++w0PPfQQDAYDqlSpgunTpyPLzpasKAoWLlyIbt26wcPDA++8806e5+Pu7o6goCBUqlQJPXv2RMeOHbFx40Z13mg04tVXX0W5cuVgMBjw8MMPY98+MQ5/69ataNasGfR6PYKDgzFhwgRBnkcffRSjR4/GmDFjUKZMGQQGBuKLL75AWloaXnzxRXh5eaFq1apYt25dAb6JbMxpmTCnZsCcmgFF5yIsVlOWsBgCfNRF52kQFsXFRVi07nphsZotwsLD7hxwUaBoNVC0Guh83IWFo9G5CMv5FTuFJax/K2GxWqzConFxURdbsTTbYkpKExadt4ewZCTcEhYXvU5Y0i9fFxb76+niZhAWfVkvYTElpQiL1sMgLBxFoxEWrae7sLgYXPNe3PTComgUYbHF8ecVz6/zdBeWzGu31cWaRcLCvy/+2+GycUevaxlPYbGazOri6uslLJRlEZastExkpWXCkk/NK07278GZKenuo5JcXV3x0EMPYdOmTcL6TZs2oVWrVnl8ypFDhw4hODj4rrf/NxSZYvD09ISnpydWr14No9GY6zZEhCeeeAIJCQn4/fffceDAATRu3BgdOnQQ3irOnDmDH3/8EVFRUTh8+DB69eqFGzdu4M8//1S3uX37NjZs2IB+/foBADZs2ID+/fvj1VdfxYkTJ/D5559j2bJlmDlzpiDD1KlT0a1bNxw9ehSDB99dc9gjR45gx44dwtvFm2++iaioKCxfvhwHDx5EeHg4OnfurJ7H5cuX8fjjj6Np06Y4cuQIIiMjsXjxYgdltHz5cvj7+2Pv3r0YPXo0XnnlFTz77LNo1aoVDh48iM6dO+OFF15AenrunamMRiOSk5OFRSKR3CUWS/5LARg7diwWLVqEJUuWICYmBq+//jpiY2MxfPhwAEBERAQGDBigbj937lysXr0ap0+fxvHjxxEREYGoqCiMGjXqnp4mp8gUg1arxbJly7B8+XL4+vqidevWeOutt/D333+r2/z55584evQofvrpJzRp0gTVqlXDRx99BF9fX/z888/qdiaTCV9//TUaNWqE+vXrw8/PD126dMG3336rbvPTTz+hbNmy6NChAwBg5syZmDBhAgYOHIgqVaqgY8eOmDFjBj7//HNBzr59+2Lw4MGoUqUKQkND8zyfBQsWwNPTE3q9Hg0bNsT169fxxhtvAADS0tIQGRmJDz/8EF27dkXt2rXx5Zdfws3NDYsXL1Y/HxISgvnz56NmzZro3r07pk+fjtmzZwtvPg0aNMCkSZNQrVo1REREwM3NDf7+/hg2bBiqVauGKVOm4ObNm8J1tGfWrFmCUywkJCTX7SQSiSO2khjOloLw3HPPYe7cuXj77bfRsGFDbNu2Db///rt6r4mPj0dsbE5LVJPJhHHjxqF+/fpo06YNtm/fjrVr16JHjx739Dw5RRqV1LNnT1y5cgW//vorOnfujOjoaDRu3BjLli0DABw4cACpqanw8/NT3zA8PT1x/vx5nD17Vt1PaGioQ4JHv379EBUVpb6NfPPNN+jTp48a73vgwAG8/fbbwn6HDRuG+Ph44Wm7SROxnWRe9OvXD4cPH8auXbvQu3dvDB48GD179gQAnD17FmazGa1b55SJ1ul0aNasGWJiYgAAMTExaNmypWBOad26NVJTU3Hp0iV1Xf369dW/XVxc4Ofnh3r16qnrbLbJa9eu5SpnREQEkpKS1CUuLu6uzk8ikSCniJ6zpYCMGDECFy5cgNFoxIEDBwQn8rJlyxAdHa2O33zzTZw5cwYZGRm4desW/vrrLzz++OP34sycUuR5DAaDAR07dkTHjh0xZcoUDB06FFOnTsWgQYNgtVoRHBwsXBgbvr6+6t8eHh4O80899RSsVivWrl2Lpk2b4q+//sLHH3+szlutVkyfPj1XTWsw5Nhtc9t3bvj4+CA8PBwAsGLFCtSpUweLFy/GkCFDVLujs+iD3CIRcvscd34riiKss23L/Ss2counBpBt79Zk+zN443q3YLGevyUjJ7bdzGrq81j0/HoJuHiIsthqEtli3F19PKA3Zz+v8B7NPA6ex9DzPIX8aitd+i3Hd6Vh8e28rzLvK6EvKx6L2/55noPOO2d/xhuiOY/XL9J6isfOrye31lM8tjmFmWrtbl46tu8Mlp9hYSZJ+xpPgON3kHL+ijA2+Of8dqzMactzXFwMYt6CohXHpiTWL5zle9jniliN4vfD6y65BWbL5ZJRsEAVsmaBLFlO50sixZ7gVrt2baxevRoA0LhxYyQkJECr1aJy5coF2o+bmxt69OiBb775BmfOnEH16tXx0EMPqfONGzfGyZMn1Zv5vUSn0+Gtt95CREQEnn/+eYSHh8PV1RXbt29H3759AWRHOO3fvx9jxowBkH3eUVFRgoLYuXMnvLy8UKFChXsuo0Qi+RfcZVRSSaPITEk3b95E+/btsWLFCvz99984f/48fvrpJ3zwwQfo1q0bAOCxxx5Dy5Yt0b17d2zYsAEXLlzAzp07MWnSJOzfvz/fY/Tr1w9r167FkiVL0L9/f2FuypQp+OqrrzBt2jQcP34cMTEx+OGHHzBp0qR7cn59+/aFoihYsGABPDw88Morr+CNN97A+vXrceLECQwbNgzp6ekYMmQIgOzXybi4OIwePRr//PMPfvnlF0ydOhVjx46FRiPzDiWS+4G7TXAraRTZG4OnpyeaN2+OOXPmqDb4kJAQDBs2DG+99RaAbLPI77//jokTJ2Lw4MG4fv06goKC8Mgjj9xVnG/79u1RtmxZnDx5Un1St9G5c2esWbMGb7/9Nj744APodDrUrFkTQ4cOvSfn5+rqilGjRuGDDz7A8OHD8d5778FqteKFF15ASkoKmjRpgg0bNqBMmexX2goVKuD333/HG2+8gQYNGqBs2bIYMmTIPVNUEonkHmCxABon5qICRiU9KChUUrtZS3IlOTkZPj4+6D3xN7gasv0pvP6/oZyPMM60s4m7lmE1gFJ5DX3n9nB+LBuhgR54+8XGmPDJX7hwJft47qwfMa8JxP0ZFmZn1rBCY9y/UfGpBurfsT+Lb6Tcd2JfLwpwrBnlUCOK+SwUO1+LmdnOuS1d6856H7sxvwyr48TrMqXFiYEI9rLZbO2qXMzPlfTPBWHs4i7WStKXYUlcvI6Tnb9kaZfvhbmXdonh37wWljlJ9G/wXuQK81fZX0d+/bPSxN+lzjv7t27KTMN3kzohKSnJaUKa7f9Jl6feg07nmDuiymDOxPrfJuS7vweNYvcxSCQSyX1Lfj0XpClJIpFIShmWrHxMSTIqSVKC0HoYoL0TpmvJZKF+yeJruH2oJmWxdo2sBSYvy8zbMfIy3Wq46h2zgsHfF+6U/beZmQN4qCQ3g/DS2dxKys079uajSr3E/JWzS8WuWtwElnFVDPPk5hyriVloM3JMLNy8lpkgmn7cyov+NJ5ExVt7OpiOmDnPvnUol5ubc9wrBDqd56YjXmDOZFfVwGIWrwE3kWn04jV1KLnBjpV5LVEY6+2uOQ+75d+Huu+CWs6t1uzF2XwJRCoGiUQiyYP8Io9kVJJEIpGUNqz51EMqYAe3BwWpGCQSiSQvpPNZUpqwb3LO7cQubiyM0M7Wb0oUQytdfcUSIumXbwhjLbOHm5lPQrVh28liC8fkZSi4vZv7N3gYJw8D5WUu7FtJcp9C1RfbCGPeJpT7HHgoLW8hKYRTMt+IzkcMc3Ro3cmug0MIMAvL1Rh4S82ceUdfCAvLvSW2HbVk8naaYo0yh9atduVXFNaWmH8f5hQenip+P6b82qXaXQeH82K/Dds14+eTL1bKx8dQMqP9pWKQSCSSvLBmAVYX5/MlEKkYJBKJJC9kVJJEIpFIBKSPQVKaSI9LgNk126ar9xfLJKRfEf0E9vkD3HbOfQ4O87fFUhKurKSCzX+R5ZX9up6Vnqnanrl/Iou1ZeSlrjNZLLutDIINbqs3J+fIzn0G3KcQ1l9svXjyM7E9I8fVRzy2vY+BmP3b1Vcs4c1LexDznfB8Dm5f59fBvqw33zb5+Elh7B4mNqfS+bB8APaEbLwl+gmyUnL8AlaWx5BxhfUMYWW0HfMvxO/XwfdiV7aEf7cK87u43vktWKwF7A9vyXJ0lvD5EohUDBKJRJIX8o1BIpFIJAJSMUgkEolEwGpxHnkkE9wkJQmdlwd0+my7K89jcMg9sLPF8xh8Di9/zG3SvAWjor1jZ7a1NdW6qDZ0h9o5DIXV0uHtNDMSbglj3o7T3t7OawhxnwP3KdQY2VEYn174hzDmcfT2dZ0UFvtvyRBj63nJaO63cS0j5nPkl/egtSudzWtZeVavKozT48RWnbxuk9aNlQRnta/sZeW1qlzYZ114y1n2fQq/OwAaV9E/YF92nddh4r/pf4tiJShOchWczT3ISMUgkUgkeZKPKQnSlCSRSCSlC2uWQ/SUw3wJRCoGiUQiyQOFrFCcvDE4m3uQkYqhlKIx6OFiyLbxOtTaYTZwc1KK+rcLazPJ69vzeka8/Sa3n1N69n8sWx6DonFRY9B5vwUXbmNmYyOrrcN9Cjwu3t4P4FBrJx8bNfcpVBveXhg75DnYXaesVNF2ztuIclu83s/X+fbsGvN5+3OzMP8Dr/Wj9RDrFfFcEG735/4Rez+AzsB8KcwX4urj5XTeEOArjHntJPvfIpeD54LYfndmo5h3kS8yKkkikUgk9ihkgUJ5PyQ4m3uQkYpBIpFI8oIonzcGGZUkkUgkpQrpY5CULrIsas0eC8sXUHML7uAeEqT+ze365lTnNlvjDTE/wBDoL4xtdn9DQLZt20WvhYsh+xjmFOfx/OnxN4Ux9xOkX74ujHmeg32PaN6j2SF3gNU+4nkK+eU5XPxxn/p3ip3PBnCMued5CBxea0nLfCm8llJ6fE7tK48Q8RrwnArjFTGPwbWsr3gs7v9gta/Sr+RccyvzX/A8BO7v0HqyntDcp+TEv+XgvyiTu//Cqi3YE75itUBxEpWkyAQ3iUQiKW1Y4TxXQb4xSCQSSalCIYLixI/gbO5BRioGiUQiyYPsqCQnpiQZlSQpSSiuOmjuxL/zekYOtmC7ev68rzLPW8i8niiMuY2a10qy3LHlW026O/u3qPZ7nZfzfgzuFUR/hX3fAQAwlCsrjHXeYoy+AIuDd6z5xHwQvGYUe3K09ykAQGjvpurf574S7eEOuQGsLzG/Znp/0a7PcxG4f8T+++T1o7hfRhcg+iBcWR4Dt+UTc77a+wHMmeJcfnkJWj92Xqx2EvedCMdlv0O+rfFmdl8Qi1H8DeVHaXU+O8n1/ncoioLVq1ff690WGY8++ijGjBlT3GLkyrJly+Dr61vcYkgkpQi6i6XkUSDFMGjQICiK4rB06dKlsOQrckWzcuVKzJgxo1D2PWjQIHTv3r1Q9i2RSO49GrLku5RECmxK6tKlC5YuXSqs0/PyuUWM2WyGTlfAln15ULZs2fw3KgGQyQyrkm2icGGlk3m4pH35ZBdWjjr1Yrww5iGh6ZeuOZ1POprdWjItzQ9AI1iNZtVcYU4W5eAhiNy0ZLyZJIx5aQnjDbHNqH3pD24i4eXFeYgoD/PkZS54SKq9+ajKgNbCHC+vofEWf8vcnMPPg5uDeKkJe/OfPkg01/BrmJUs7tvMSphwsxcv0W4rs5IbpqS0POcAIOW8GCqraMTn1qwU8fP2oc9psZeEObfyQcLY9v1kmQpWEkMBQXHyVuBs7kGmwKYkvV6PoKAgYSlTpkye21++fBnPPfccypQpAz8/P3Tr1g0XLlwQtlmyZAnq1KkDvV6P4OBgjBo1CgBQuXJlAMAzzzwDRVHU8bRp09CwYUMsWbIEVapUgV6vBxEhNjYW3bp1g6enJ7y9vdG7d29cvXpVPY7tc19//TUqV64MHx8f9OnTBykpOf+JuSnJaDTizTffREhICPR6PapVq4bFixcDAG7fvo1+/fohICAAbm5uqFatmoPSLAgff/wx6tWrBw8PD4SEhGDEiBFITU112G716tWoXr06DAYDOnbsiLi4uH99TIlEkjcKcpRD7kvJ5J77GOxJT09Hu3bt4OnpiW3btmH79u3w9PREly5dYDJlP0FFRkZi5MiReOmll3D06FH8+uuvCA8PBwDs25ftwFu6dCni4+PVMQCcOXMGP/74I6KionD48GEAQPfu3XHr1i1s3boVmzZtwtmzZ/Hcc88JMp09exarV6/GmjVrsGbNGmzduhXvvfdenucwYMAAfP/995g3bx5iYmKwcOFCeHpmP6FNnjwZJ06cwLp16xATE4PIyEj4+/vnua/80Gg0mDdvHo4dO4bly5fjjz/+wJtvvulwTWfOnInly5djx44dSE5ORp8+ffLcp9FoRHJysrBIJJK7Q0PWfJeSSIFNSWvWrFFvjDbGjx+PyZMnO2z7/fffQ6PRYNGiRWoUx9KlS+Hr64vo6Gh06tQJ77zzDv73v//htddeUz/XtGl2BEdAQAAAwNfXF0FB4quhyWTC119/rW6zadMm/P333zh//jxCQkIAAF9//TXq1KmDffv2qfu0Wq1YtmwZvLyyX7dfeOEFbNmyBTNnznSQ/9SpU/jxxx+xadMmPPbYYwCAKlWqqPOxsbFo1KgRmjRpAiDnDeffYv+mEhYWhhkzZuCVV17BggUL1PVmsxnz589H8+bNAQDLly9HrVq1sHfvXjRr1sxhn7NmzcL06dP/k1wSSWlFgRWKkyQ2Z3MPMgVWDO3atUNkZKSwLi+7/IEDB3DmzBn1JmwjMzMTZ8+exbVr13DlyhV06NChoGIgNDRUVQoAEBMTg5CQEFUpAEDt2rXh6+uLmJgYVTFUrlxZkCc4OBjXrol2cBuHDx+Gi4sL2rZtm+v8K6+8gp49e+LgwYPo1KkTunfvjlatWhX4XGz8+eefePfdd3HixAkkJycjKysLmZmZSEtLg4dHtp1Zq9WqiggAatasqZ5jboohIiICY8eOVcfJycnCNQIA441ENhZLTWhcc0IBXdxEmzKx8NWk46eFsSEwQBibbou2d0NwdutI1zshmFZzVo6Pg9n5M+xKOwCO9m3eUIW3neThrFnpOfb1zATxN6DzEW3xrr6sxAILb+WlrnmZC3vbfH4lu88sihbGxtviWx73AWXeYMfmpSjs/CHJJy8Kc/yaGYLFBzDuW7FkiD4J3l417WxCzr46sJDRq+L3Z80Sz8OjUkVxXxdihbG+HPstJeb4lAxBYgtS/n1YMrJ9JRZTwcJVkY+PoaRGJRVYMXh4eKimnvywWq146KGH8M033zjMBQQEQKP595Ys243SBhE5xpbnsp47qRVFgdWau9Z3YzdBTteuXXHx4kWsXbsWmzdvRocOHTBy5Eh89NFHd3saKhcvXsTjjz+O4cOHY8aMGShbtiy2b9+OIUOGwGxmfZJzOc/c1gHZPqHiDg6QSB5UNApBo+R983c29yBTqD6Gxo0b4/Tp0yhXrhzCw8OFxcfHB15eXqhcuTK2bNmS5z50Oh0sd9HYu3bt2oiNjRUcsSdOnEBSUhJq1ar1r+SvV68erFYrtm7dmuc2AQEBGDRoEFasWIG5c+fiiy+++FfH2r9/P7KysjB79my0aNEC1atXxxVW0AwAsrKysH//fnV88uRJJCYmombNmv/quBKJJG+cO57ze5t4cCmwYjAajUhISBCWGzdu5Lptv3794O/vj27duuGvv/7C+fPnsXXrVrz22mu4dCk7vGzatGmYPXs25s2bh9OnT+PgwYP49NNP1X3YFEdCQgJu376d63EA4LHHHkP9+vXRr18/HDx4EHv37sWAAQPQtm1bwfRSECpXroyBAwdi8ODBWL16Nc6fP4/o6Gj8+OOPAIApU6bgl19+wZkzZ3D8+HGsWbMmXyWUlJSEw4cPC0tsbCyqVq2KrKwsfPrppzh37hy+/vprLFy40OHzOp0Oo0ePxp49e3Dw4EG8+OKLaNGiRa5mJIlE8t8orYqhwKak9evXIzg4WFhXo0YN/PPPPw7buru7Y9u2bRg/fjx69OiBlJQUVKhQAR06dIC3d7YNd+DAgcjMzMScOXMwbtw4+Pv7o1evXuo+Zs+ejbFjx+LLL79EhQoVHEJdbdgS4UaPHo1HHnkEGo0GXbp0EZTMvyEyMhJvvfUWRowYgZs3b6JSpUp46623AACurq6IiIjAhQsX4ObmhjZt2uD77793ur/o6Gg0atRIWDdw4EAsW7YMH3/8Md5//31ERETgkUcewaxZszBgwABhW3d3d4wfPx59+/bFpUuX8PDDD2PJkiUFPi9TYjJIn22HdSsv5hZwO7KLe45JjZfL4KUH9H55hy7nhs2IZ4tZd3EzQOuRLRe30/MWlhqWU2FRxFwEXnZb6ymWxNC65+Q5uJUXbdQ8ryGvVpGqbCxngvsB7Mtc8DwF7lMIH/qoMD679C9xX8y/obDr4OIqjjV2141/f1msbDqXm7c41XmLgSeZ8aJvxrtWtZy51O2iXKxtqJaV7shkPghXfz9xe/b9wZrzu3RoxcqihbR3AmbIWLBnYQ0IGic3f2dzDzIKUQktDyjJleTkZPj4+KD78K+h02f/R+OKIT0uQRgXRDHwuj35YUu+qhzshXdHtsLkJQdx8Wp27gZXDBwHxcBu5iaWZOZMMfD6RHxf+d1QeX0ifoMVeiGzmyt34OanGEzMGa3RszpBvIe3nWLgdbHyUwz23332DsTvlysGr2qV1b8/aybm9Az+7WlhzK+ZhStbFlzAr5v9b40rBh4UoSZNGtOxOrIfkpKS1IfT3LD9P3mhRiu4uuT9/GyyZOHrkzvz3Z89CxYswIcffoj4+HjUqVMHc+fORZs2bfLcfuvWrRg7diyOHz+O8uXL480338Tw4cPv6lj/lkL1MUgkEsmDjO2NwdlSEH744QeMGTMGEydOxKFDh9CmTRt07doVsbGxuW5//vx5PP7442jTpg0OHTqEt956C6+++iqioqLuxenliVQMEolEkge2qCRnS0H4+OOPMWTIEAwdOhS1atXC3LlzERIS4pACYGPhwoWoVKkS5s6di1q1amHo0KEYPHjwv4p8LAiy7HYpRXFxgXLH5GBh8f1ar7xNHTov0RzDzU78s9xfwU0ytlwEm0lKcVEcTAw5n3VuOuJlmnldJmItTO3blHITi0O9KGaa4DLq/XxzlVndn52PwqH2ETMNcdNR1RdFM8P5b3aJO2fmHe5b8aiU4z9xuAYGX2GcekYsr6L3F31GDi1Py1QVxvaltN19WWg4+yyXxb1SMJtnORTMz2N/3vx3ZWXXxOYDsmoKVvROA+dPzwV5sjaZTDhw4AAmTJggrO/UqRN27tyZ62d27dqFTp06Ces6d+6MxYsX39MacRypGCQSiSQPFIWgOHkrsM3xUjO55Q/duHEDFosFgYFioENgYCASEsQHLBsJCQm5bp+VlYUbN244BALdK6QpSSKRSPJAUfJfACAkJAQ+Pj7qMmvWLCf7ZJV780jOdbZ9buvvJfKNQSKRSPJAoxBc7iLzOS4uTohKyq3agL+/P1xcXBzeDq5du+bwVmAjKCgo1+21Wi38/Pxy/cy9QCqGUorO2xM6Q7atm9eV4fX97e3t3K7P4/c1rE+B+bbov+Dx5WAhiabEVLUNI/dnkEV8wdWxzzq0neR1fti84DvJZ188LNe1jBgi6lAriR3bvh0n76fgkPPA8hS4TyGsX0thfOG73eKx/HyYbHnb1a283IqWhbqy75Pvy2He7lyMKawNbAFyPQDHWlgOrVsDcs7TnCSG3dq3GAVyWn8qmaK8+aFRHFxXDvMA4O3tnW+4qqurKx566CFs2rQJzzzzjLp+06ZN6NatW66fadmyJX777Tdh3caNG9GkSZNC8y8A0pQkkUgkeaLcxVIQxo4di0WLFmHJkiWIiYnB66+/jtjYWDUvISIiQkhqHT58OC5evIixY8ciJiYGS5YsweLFizFu3Lh7cHZ5I98YJBKJJA9cNAQXTd6mJJcC5gc/99xzuHnzJt5++23Ex8ejbt26+P333xEaGgoAiI+PF3IawsLC8Pvvv+P111/HZ599hvLly2PevHno2bPnvzuhu0QqBolEIsmDuzUlFYQRI0ZgxIgRuc4tW7bMYV3btm1x8ODBgh/oPyAVQynFnJIGmLKfdgwsVp3by403cooXuoeI9fqdlX4AAF0Z0d6t98vdDmuzCWs93aDzzrZjc7s/h5i/gpdF4D2DtZ6ijdvel5IWJ5Z24GUluN/FwdfC6jhpy4r9G+zLN/B98X4KvPYRz1PgPoXKz7cQxrz2kv33yXtU8HIcxnixoq9XtUrCmPt9Mq6KhS31ZfK2s1uNzMfD8hp4v2gum81PYMOSmfPb07Drb04WW+LafqdZRud9pzn2kUd5zZdEpGKQSCSSPHDRZC95zpfQSnNSMUgkEkkeFIYp6UFAKgaJRCLJAw3yUQxFJknRIhVDKcXFTQ8XfbbNPSNBrK1jZTVp3CrmJN9kXr0lzJluJwpjnbdoW9ewRB/e89lm+zVqRTs7AKRfEeUylBN9Iby3MS8hzctsm1OMbJyzPa/bozGI/zUyr4m2dIe+Bcwvw/Me7O3prj7iNeLnwfsp8NpHPE8hv34OJz7KiYO3ZIjfh47VbXKrXFkY218jAEi/JNruuT/Evr6RRsd8BG7OW8zyHhf8uliN4vdnnxeRlSr6DrSe4nnZem6bjeL55IcmH1PSf+hOfF8jFYNEIpHkgXQ+SyQSiURA+hgkEolEIpBvVJI0JUlKKq5lfYWxQ79ju9o9vL+CR2gFYczr2bjwlpjs8zY/gPaOvZjMWar9ntu/Her0MFu8Y90m5/kA9vX9eV0eXgOIn5eWtbzkuQnp8WL/Yvv8DmsW90fk3YoTEPspAI7Xgfs37H0KAFB73FPq3+dX5F7330b6mdPivkNChbFX1RBhrGjFO6N9HSirWbze3GeQEXtJGLuFiL8lh9afrJaSYpdrwn0KPOdB3Rcr3ZUfGkWBxom9yNncg4xUDBKJRJIH0scgkUgkEgGtS/aS57xMcJOUJDSuOrWMg8LKP3BzkWsZX7u/xVBLHn7K21Zy0xEvc2AzwWjvlFrQ+XhCb8p+7ecmEv5Zbt5x2J6ZInQsfNXVN2eel3bgpiE+1nmIZisLC1/1CBHbimYk5IT56oPEshHJJy8KY15WhIfScniZCx6Sam8+CuvfSpg7vfAPYVy2RTNRFj1rp8rOU8kSvxPFzizGw1X59+dZvYow5iHAvEQG4CvKxk2FdlCWeM1sv3FFU7Cy24qiFKiJTklBKgaJRCLJAxmVJJFIJBIBjQvg4uQlw0lF7gcaqRgkEokkD6QpSVK6sJIaPqjR8tIFzH5uF77KW1Zyuz0PxeR2Y+7PSL+UXe46k7Lt7lnJ6TDdyvZbmFPE8gtuwf6inCwkkYej8vkMVtbCo4J/nttaTeJ5JB8/KYw9q1cVj81CMRVd3mW7s9JEvwsU0RfCS3u4GHzFQ/F2nMyewcN87eE+hWrD2wvjo9N/FMZuFURfCS9rkR4n9iP2CA22k5NdE3ae5iTx+3VlJbv5TZeXYTcl5fi3eLgxf5C3+Z/47zM/SmutpJJ6XvcF06ZNQ2BgIBRFwerVq3NdN2jQIHTv3r1Y5ZRIJLnj4qLku5REik0x5HVDjI6OhqIoSExMLHKZ7oaMjAxMnToVNWrUgF6vh7+/P3r16oXjx48L28XExGD69On4/PPPER8fj65du+a67pNPPsm1a5NEIil+bM5nZ0tJRJqSCoDRaMRjjz2G2NhYzJ49G82bN8fVq1cxa9YsNG/eHJs3b0aLFtndtM6ePQsA6Natm/pKnNs6vd55xUmJRFJ8KBoHS5/DfEnkgVAMUVFRmDJlCs6cOYPg4GCMHj0a//vf/9T5ypUrY+jQoTh16hRWrlwJPz8/zJs3D61atcLQoUOxZcsWhIWFYenSpWjSpIn6uZ07d2LChAnYt28f/P398cwzz2DWrFnw8MjdRjt37lzs2rULhw4dQoMGDQAAoaGhiIqKQvPmzTFkyBAcO3YM06dPx/Tp0wEAmjt1eadOneqwjogwaNAgJCYmqqYmq9WKDz/8EF9++SXi4uIQGBiIl19+GRMnTgQAXL58GWPHjsXGjRuh0Wjw8MMP45NPPkFlVi45P4w3b8Pqmp0HoPUSY/R5CWOrKcfHoPPJu3UjAGSlZzidd2gbejXbx2ByzbabmxKTYbyZCADQB5QVtk27GC+M+bxDKQ8+Thdt90n/XFD/dq8glp0w3koSxu5hYmmI9DixBabWQ/S1GK+I87qAHFt9VnKyMGcIdt4uNfVMnDBWWMYVb8fJS2fbl7ngeQrcp1Bvam9hHPPxWmGcfPwfYQyrmC9gn3NhaSBa+nlr1YwE1k6V5W/wEhi8Ba19+07+u+K5H7Zy4GZTwcpuu2gUuDh5LXA29yBz3+u7AwcOoHfv3ujTpw+OHj2KadOmYfLkyQ7mlzlz5qB169Y4dOgQnnjiCbzwwgsYMGAA+vfvj4MHDyI8PBwDBgwA3XFQHj16FJ07d0aPHj3w999/44cffsD27dsxatSoPGX59ttv0bFjR1Up2NBoNHj99ddx4sQJHDlyBOPGjcPSpUsBAPHx8YiPj891XW5ERETg/fffx+TJk3HixAl8++23CAzMvmmlp6ejXbt28PT0xLZt27B9+3Z4enqiS5cuMJlMue7PaDQiOTlZWCQSyd1he2NwtpREivWNYc2aNfD0ZE3WWUP3jz/+GB06dMDkyZMBANWrV8eJEyfw4YcfYtCgQep2jz/+OF5++WUAwJQpUxAZGYmmTZvi2WefBQCMHz8eLVu2xNWrVxEUFIQPP/wQffv2xZgxYwAA1apVw7x589C2bVtERkbCYBCfbgDg1KlTaNeuXa7nUqtWLXWbhg0bwtfXFwAQFJTzNJjbOntSUlLwySefYP78+Rg4cCAAoGrVqnj44YcBAN9//z00Gg0WLVqkmqKWLl0KX19fREdHo1OnTg77nDVrlvqmIpFICkZpLaJXrPquXbt2OHz4sLAsWrRI2CYmJgatW7cW1rVu3RqnT58WlEj9+vXVv21P2PXq1XNYd+1a9uvrgQMHsGzZMnh6eqpL586dYbVacf78+QKfi+1N5L/ENcfExMBoNKJDhw65zh84cABnzpyBl5eXKnPZsmWRmZmp+i84ERERSEpKUpe4uLhct5NIJI7YEtzyWgpYYeOBoVjfGDw8PBAeHi6su3RJLMVLRA43WyLHdEOdLsc+ads+t3XWOzZRq9WKl19+Ga+++qrDvipVqpSrvLa3ldz4559s22u1atVynb8b3NzcnM5brVY89NBD+OabbxzmAgICcv2MXq/P1cGt8/aETu9x52/Rp8Jr75hu55ifeLy/mfkjFNbrUKMXt+ex6Lb4c7fg7BpMhiA/uCuGO/ti+RUh4psWL+lNXiyWndmZ3SuIeRCpF3Ji8Pl5cfu2zkd8s3UrL/ok+DXkpczta0iZeQtLXkabvTXrmW2dl+n2qib+Xnk7TvvS2bz2Ec9T4D6FWmOfEMY8D4J///a5CFodz88Q8zfcK+b+5qzKyr5fjmdYTplu3v6Uf1brlv370hid75MjE9zuU2rXro3t27cL63bu3Inq1avDxVmuej40btwYx48fd1BMzujTpw8mTpyII0eOCH4Gq9WKOXPmoHbt2g7+h4JQrVo1uLm5YcuWLRg6dGiuMv/www8oV64cvL2dO4ElEsl/p7SW3b7vXSf/+9//sGXLFsyYMQOnTp3C8uXLMX/+fIwbN+4/7Xf8+PHYtWsXRo4cicOHD+P06dP49ddfMXr06Dw/8/rrr6NZs2Z46qmn8NNPPyE2Nhb79u1Dz549ERMTg8WLF/+nJwiDwYDx48fjzTffxFdffYWzZ89i9+7dWLx4MQCgX79+8Pf3R7du3fDXX3/h/Pnz2Lp1K1577TWHNy2JRPLfcdHkk+BWQqOS7vs3hsaNG+PHH3/ElClTMGPGDAQHB+Ptt98WHM//hvr162Pr1q2YOHEi2rRpAyJC1apV8dxzz+X5GYPBgD/++AOzZs3CW2+9hYsXL8LLywvt2rXD7t27Ubdu3f8kEwBMnjwZWq0WU6ZMwZUrVxAcHIzhw4cDANzd3bFt2zaMHz8ePXr0QEpKCipUqIAOHTrINwiJpBDQaBRonNz8nc09yCiUm8FeUmJJTk6Gj48P+kxdB1dDtt2bt2fkNmr7Gjc8Fj3llNhLwBAs+jp4O0fuN7D5ASoHe+Hdka0wZelBXLyabbd2qGvD3sZ4PX7eI4HDW2bat6F0YX4VXs+IWLy+hpkxHVqWuuUti/G2GDLM+1/ovFnvB+a/4L4TfVmxR0bK2cvC2L18znfi0E+B9ay4vf+IMPaqUV0Y89pKcasOCmPjzZxz+6LNCmFu+K5BcAb/HWq04vfLfTP23z+/Jnn18jBlpuHHmU8hKSnJ6cOU7f/Jiucfgbtr3s/P6aYs9P9uW777e9C4798YJBKJpLjIrx5SSa2VJBWDRCKR5EFpdT5LxSCRSCR5IMNVJaUKS2YmsijbTs576/La9qbEnJo0rlrR/s19CrzfgqIwHwOzI1uRdedzjgFy3Mas82G9H4ys7hLrP817RaScF2sKGcrl1FoiljvAcwWMt0S/i2OfZTHvQc96CxDl2MD59eV+l8x4sYaQaxmx9wOXjferVth1s7/mvEcz76fAax/xPAXuUwh5prEwPv/NLvVvnRvrJc5qV3G/Dv8NmHlfCtYLwsXOZ2RKEuXk/if+/d4t0pQkkUgkEpH86iHd9wH//w6pGCQSiSQPpI9BIpFIJALSlCQpVSgaFwd/gA17nwIA6LxybPVZzJbOa9Lw+P6MBLGGDa/7Y71TJ8ialW3bzkrPzLEt5/M4xmPyud0//Yp4bF7P35Kecy4mo3heLqy+VBbrP83t4fw68GPb28e5TyftrGjn964l1tvi3wfv1+Dgz2D2dPt8Dd6L2r5Hc/ZnRR8D78Nsn6cAiD4FAAjr1zLnWJeWwRnc52BKFMf8PEyJog/J/jry78PEckWsd2pfFbQfg4J8nM+QikEikUhKFbKDm0QikUgEpClJUqpY2CkK3p7ZpaazTKzcAwuf1BlyzA9WVuLCmiWONVrF6bzWVXzEMqbfCVf1qASgFaa32QKkxwIALGbxsy46hX1WNDW4eYs/Z35sLrv9efJjKczKZmXzvJKM/TXK7VjmTPEa22PoIMqdmSpWE3b3ZaU8UlipEIaGXSd72Z3NAbm042Sls3mJEx6Sam8+eqfi58LcV08PF+VkvzNzJis/bnVercfFLgyXy8Wx7Ss5zYRyy51uKpDtfHaWx3D3+3qQkIpBIpFI8kCakiQSiUQiIE1JEolEIhFQNIpDZjqfL4lIxVBKGbHtebXstsFfDEnMSjfmOebb8lIEvEwFx1DOJ9fPh5bzwLQGwKSNrXH+Uh0AgFd4iCgHaw3JW2DyMgi8dISzEuBad7FMNj+vjCtimQoXVlabh17y8FVDgG+e+zZevSHu20Ms5cFDMfmxrUZWaoKVjrA/b34jU5gthJdV59fcsQWqeGx7uE9hRvmFwpiHujqQT0cA+2vseF7Mf5GSXbLblJkG4GvnxxX2IxPcJBKJRGKH4qJA48RcpJRQU1IJdZ1IJBLJf0ejKGoXt1yXQnxluH37Nl544QX4+PjAx8cHL7zwAhITE51+ZtCgQWpFWNvSokWLAh9bvjFIJBJJHhSnKalv3764dOkS1q9fDwB46aWX8MILL+C3335z+rkuXbpg6dKl6tjV1dXJ1rkjFUMpxWoyw6rJLq2QFsvKN7DSEvZlEoy3xfIMvNw0L7ORxdoxOvgF7mxvNd3JZ9Bo1H04s18DgKuP2PLSoZ0jk8XFkHsJEADQ6FkbSdbelMcl8pIZrj5ie01eroOXtbDHmsVKezCfgkPbynzac3IyYi+pf3tWryLMmZNEuTISRF+Ke8Ugp/vmvxX774znKTgrnwEAF7/fK+7bjd3QnPgRuC/Ewn9nd75fDRXslqfRaqDR5n19nc39F2JiYrB+/Xrs3r0bzZs3BwB8+eWXaNmyJU6ePIkaNWrk+Vm9Xo+gIOffW35IU5JEIpHkge2NwdkCZPeItl+MrPZWQdm1axd8fHxUpQAALVq0gI+PD3bu3On0s9HR0ShXrhyqV6+OYcOG4dq1a063zw2pGCQSiSQPnPoX7iwAEBISovoCfHx8MGvWrP903ISEBJQrV85hfbly5ZCQkJDLJ7Lp2rUrvvnmG/zxxx+YPXs29u3bh/bt2xdYUUlTkkQikeSBJp+oJNtcXFwcvL1zQrn1zNRoY9q0aZg+fbrTY+7btw9A7qU4iMhpiY7nnntO/btu3bpo0qQJQkNDsXbtWvTo0cPpce2RiqGUovN0h86QHS/P223yWPaMeLF1pD328fkAYE4VfQqurqLtXe/HbPFp2U8ytjwCQ6AfPDTZrS95iW+thyiXLTbdBs9b4HkNilacN93MKePM7fj2pcZzm+f2bu4P4ddQ65dz0+AtRj0qVRTGmSyvwb2SWBrbkslKhLMy3tyv4xZSQf2b+yd4WW2ef8HhvxWHctd2pbN57SMO9ymE9mkmjK/8flQYO6uHxH8r/OZJd74vW5n3u+VuS2J4e3sLiiEvRo0ahT59+jjdpnLlyvj7779x9epVh7nr168jMDAw3+PYCA4ORmhoKE6fPn3XnwGkYpBIJJI8udeZz/7+/vD39893u5YtWyIpKQl79+5Fs2bZCnPPnj1ISkpCq1at7vp4N2/eRFxcHIKDg/Pf2A7pY5BIJJI8cNEoar2kXJdCKolRq1YtdOnSBcOGDcPu3buxe/duDBs2DE8++aQQkVSzZk2sWrUKAJCamopx48Zh165duHDhAqKjo/HUU0/B398fzzzzTIGOLxWDRCKR5IHtjcHZUlh88803qFevHjp16oROnTqhfv36+PprsZzHyZMnkZSUBABwcXHB0aNH0a1bN1SvXh0DBw5E9erVsWvXLnh5eeV2iDyRpqRSCpEVRNl2c0u6aHd2qClkZ0cmZqO1ZLB2jHye2bQdWkfeyUWw2a6z0jJgSs6uJWROFmPstR5ibDZv/ahhPgie18BrFOl9Pe0+LP4H53kHDv6NZHFf3NfiYKu327+iEZ/H0i7ECmNXfz9hzM9T6+EmjPnNydn3x/0R3BbP/RcOrVu1LN8jVcz3sJfVoZ8Cq33E8xS4T6H84/WE8cnPNgljez+QltWHsmaJ373OlvMiul/ypTgT3MqWLYsVK1Y43ca+L4ibmxs2bNhwT44tFYNEIpHkgUarwEXrJCrJydyDjDQl3SW51SBRFAVnzpwpNnm6d+9eLMeWSEoLxWlKKk7kG0MB4DVIACAgIKDA+zGZTP+qfolEIilaZNltSb7kVYNk69ateOONN3DkyBGULVsWAwcOxDvvvAPtHXvso48+irp168LV1RVfffUV6tSpg61bt+LEiRMYN24ctm3bBg8PD3Tq1Alz5sxRw9l+/vlnTJ8+HWfOnIG7uzsaNWqEX375BR9++CGWL89uXGuzEf/555949NFH7/pcTLeSQfpse7DB31eYy0oT687ovESbtj0OseX5PEFxuz9lWe78m+17cHHTQ+uRletxHZ7OuH2c9ZFwLeMpjHnvAcU15+efeS1R/Kyv+Nn8+i1wnwTviWCfU5GVwnwd5cSHC62nmENhMYp+Gt4vg/dIsLIsV9Fv4CvM6Zi/wuBfBs4wsxwJfp6mxBTcNfn4RrhPocbIjsI4btVBu+M675+h98s+L7NR3C5fEYupVlJxUzLPqgi5fPkyHn/8cTRt2hRHjhxBZGQkFi9ejHfeeUfYbvny5dBqtdixYwc+//xzxMfHo23btmjYsCH279+P9evX4+rVq+jduzcAID4+Hs8//zwGDx6MmJgYREdHo0ePHiAijBs3Dr1790aXLl0QHx+P+Pj4PGObjUajQx0XiURyd2g0+S8lEfnGUADWrFkDT8+cJ8muXbuievXqCAkJwfz586EoCmrWrIkrV65g/PjxmDJlCjR3fjnh4eH44IMP1M9OmTIFjRs3xrvvvquuW7JkCUJCQnDq1CmkpqYiKysLPXr0QGhoKACgXr2cKA03NzcYjcZ8qyjOmjUr3xR8iUSSOwoUpyUoFJRMW1IJ1XeFQ7t27XD48GF1mTdvHmJiYtCyZUvhx9O6dWukpqbi0qWccsdNmjQR9nXgwAH8+eef8PT0VJeaNWsCAM6ePYsGDRqgQ4cOqFevHp599ll8+eWXuH0779IUeREREYGkpCR1iYuL+5dnL5GUPjRaJd+lJCLfGAqAh4cHwsPDhXW5FbWyxRbbr/fwYL0DrFY89dRTeP/99x2OExwcDBcXF2zatAk7d+7Exo0b8emnn2LixInYs2cPwsLC7lpmvV6fa0EvQ7kycHXLfvvhdn+3YNHObLSrKaTh/RbyqVHDa/O4B4sx+rbPW4zZP0WyWtVcB523aOfnfoAsFkPvFiyWGuA9FbjfwN4voGdzWcynwK+Ri170MXBbu7N+xYZAUU5TYpK4gZX5dNi+DAFi32xLpniNeU9o+74UvH6UKUn0CfDcEc+wCsKY91hwuA52eRIuzP7O/TLOnsQBx3pV9j4FAAh5prH695lF0cKcIVD8ndnyLywQr1V+2FdQzWu+JCLfGP4jtWvXxs6dO4VEk507d8LLywsVKlTI83ONGzfG8ePHUblyZYSHhwuLTYkoioLWrVtj+vTpOHToEFxdXdX0d1dXV4dmJBKJ5N5iK6LnbCmJlNDTKjpGjBiBuLg4jB49Gv/88w9++eUXTJ06FWPHjlX9C7kxcuRI3Lp1C88//zz27t2Lc+fOYePGjRg8eDAsFgv27NmDd999F/v370dsbCxWrlyJ69evo1atWgByKjCePHkSN27cgNlcsCchiUSSP9nmIo2TpWS+MUhT0n+kQoUK+P333/HGG2+gQYMGKFu2LIYMGYJJkyY5/Vz58uWxY8cOjB8/Hp07d4bRaERoaCi6dOkCjUYDb29vbNu2DXPnzkVycjJCQ0Mxe/ZsdO3aFQAwbNgwREdHo0mTJkhNTS1wuGryqYvQuWa/qruW9RXmMhJuCWN784POWzSJ8RLPppuJwljnK9ZoSY0VSwl7hGQ3I9HYTBJWyl4AZFy+KWxrThVDDXWeoizpl8UWpa7s2FZj3qU/Mq6J/htuduImMVuZcBu8xSkPb7UPKU2za7UJAIYgsYyyQ/tTZoIxJ4kmMg0z52Sx66Rl10mYY+Gq3GTGr6mhXFlhzMuMCOVTeGkOZnbh7Tgdyqw7hMKKx7I3H4UPfVSY4yW9M29mm+uyjAWriSHzGCROWbZsWZ5zbdu2xd69e/Ocj46OznV9tWrVsHLlylznatWqpTYBz42AgABs3Lgxz3mJRPLfUfLxMcjMZ4lEIillaFycRx456+72ICMVg0QikeTBvW7U86AgFUMpxT0kGK6GbNuzrfS1DV6Cwb7EtNadlTdmtncPFt7It+fYbNRmt+z/YBpXXY49nv+nY2MeeukVLNq/beU2bPBWoFkZOTZuB58CKx+usDBdXgqbXzPXMqJ/w15Wt/JiUiK364PE0uRWh3LV4jV1KE/OfAr2/g1b6RF1LB7ZoSw6929wWR3CX2/nnVnvUOKbXUOHUGdWOpuXubAPSc2vTejphX9ky8u+x/zIL7tZZj5LJBJJKaO01kqSikEikUjyIL9chZKaxyAVg0QikeRBac18loqhlOLiqoPLHfuxQyw6+7Hr/bzVv7ntXc9s6TwfgPsgeIloWykKV7XUNKktRzU6bg923sPCnMp8CKx8uFugWOpDsds/t63zPARX77xzAbKPJR6bf954M8f2zvMMLBniZ7Weor+Dl7hwKLNtytsnBIi5BdxX4lAGnbcRdRO/X4c2omx7q12Jb97ak/t4NHrx9kNs3zrm+7KVzlY/b9dm1JanYMPmU7BRbXj77O1SkoH3cNfkVw9JJrhJJBJJKUNR8olKKqEZblIxSCQSSR5IU5KkVGAr9mfOzDE3WJgpgj8hWTU55gYrCwHl9aB4hyzFIv7EXFh1S+udcWa6FcnJyTCmp8KUKZZ8ULc1Oy8aaG8yAQBLpmhKcslgpSXs51lIqNj1DLBYxc9yzEZRZquW7c+Yc6wsk7itxSTKSUbxPKwaFtaZySrcsmvOZYHdqSgaZkpiIaFmJpvGyM47y7m31f7zyWmiOc2UKcqpIfG34fD9suoV/LdlXymVl7rgYamZKdmmPGNq9r/kpPqtPalGs1NzUaqxZNYoU+hur5CkRHDp0iWEhIQUtxgSSbESFxeHihUr5jmfmZmJsLAwJCQk5LuvoKAgnD9/HgaDId9tHxSkYihlWK1WXLlyBV5eXvfMPpqcnIyQkBDExcXB29s7/w8UIferbPerXMD9K9u9kIuIkJKSgvLlyzutfgxkKweTyeR0GyC7BH5JUgqANCWVOjQajdMnpf+Ct7f3fXUjsed+le1+lQu4f2X7r3L5+PjkvxEAg8FQ4m74d0sJTc+QSCQSyb9FKgaJRCKRCEjFIPnP6PV6TJ06Ndfe0sXN/Srb/SoXcP/Kdr/KVRKRzmeJRCKRCMg3BolEIpEISMUgkUgkEgGpGCQSiUQiIBWDRCKRSASkYpBIJBKJgFQMEolEIhGQikEikUgkAlIxSCQSiUTg/8rOSFAxPgY5AAAAAElFTkSuQmCC",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"for pitch in ['0.3', '0.4', '0.6', '1.0']:\n",
|
|
" print(f'Pitch {pitch}')\n",
|
|
" # use office environment as baseline\n",
|
|
" environments = [\n",
|
|
" '25-07-08-01-serverroom-p14s',\n",
|
|
" '25-07-08-01-electronicslab-p14s',\n",
|
|
" '25-07-08-01-homeoffice-desktop',\n",
|
|
" '25-07-09-01-forest-x1c',\n",
|
|
" ]\n",
|
|
" batchlabels = ([5, 15, 25, 35, 45], ['Office', 'Server Room', 'Electronics Lab', 'Home Office', 'Forest'])\n",
|
|
" group_a = [value for value in data_runs[f'environment-25-07-08-01-office-p14s-p{pitch}'] if not value['info']['mods']]\n",
|
|
" group_b = [value for env in environments for value in data_runs[f'environment-{env}-p{pitch}'] if not value['info']['mods']]\n",
|
|
" if not group_a or not group_b:\n",
|
|
" print('(skip)')\n",
|
|
" continue\n",
|
|
" \n",
|
|
" print(len(group_a), group_a[-1]['info']['timestamp'])\n",
|
|
" print(len(group_b), group_b[-1]['info']['timestamp'])\n",
|
|
" plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out=f'environment_p{pitch}_minmax', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))\n",
|
|
" plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out=f'environment_p{pitch}', do_lines=True, batchlabels=batchlabels, figsize=(4, 4), triangle_delta='load')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "874b5e6e-4527-4285-8ca5-2ee4d9c4e86b",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"### Compare environmental effects against an attack\n",
|
|
"\n",
|
|
"Repeat the above measurement, but compare to the \"scope probe\" attack run for scale."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 99,
|
|
"id": "fd55b81e-3bd2-4659-bbde-633772f1d8f8",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Pitch 0.3\n",
|
|
"50 2025-07-09T11:02:20.361Z\n",
|
|
"10 2025-07-02T14:10:30.806Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.187119\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.464±0.0896 min: -0.0726 max: 0.636\n",
|
|
"Cross class: -0.604±0.225 min: -1.22 max: -0.205\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000217549887\n",
|
|
"EER: 0.0 th: -0.09584650645280735\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978854\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.984±0.00173 min: 0.979 max: 0.989\n",
|
|
"Cross class: 0.944±0.00648 min: 0.928 max: 0.957\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000000045601\n",
|
|
"EER: 0.0 th: 0.9781386054550003\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 400x400 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 99,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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5tkfZM2fOxLhx4xAZGQmDwYDWrVsjOTkZLi4uaoIVABgyZAh69+6N06dP46233kJ8fDyMRiMAqCPk+43U1FRkZWXh+vXrWLlyJZYtW4b09HQ89thjGD9+PGw2G+rUqQOz2Yzz589j3Lhx+OGHHzB58mR4enre3cbe1VeMRFKGsFgsZLPZaPDgwdS7d2/NtuXLl1O9evVo2rRppVbfzp076eGHH87nur9q1SoqV66cOjFsj6FDRLRt2zbas2cPWa3WEo04U1NTqVOnTuoE5Zo1a2jy5Mk0f/58evzxx8nf3z+fBdKCBQuoRo0aNHjw4FL3Or2b2Efv8+bNo86dO9Pjjz9O9erVowULFlB2djYlJSXRiBEjSFEUioqKorp161JUVNQ9m7eQnb5EcocZNGgQPfnkk0SknfAbPXo0RUZGlmqHZw/SduDAAdq/fz8R5YbmDQkJoV69euXbf/jw4TRu3DjNi+B2GThwIPn7+9PSpUtJURRatWoVEREdO3aM2rZt67DjX7hw4V2bwCwt8k7a2iWptWvXUocOHejYsWM0dOhQqlWrFn322WeqdLV9+3Zavnw5rV+/ns6fP3/X221HdvoSSSlx9uxZmjdvHs2aNYvWrFmjrn/rrbcoKChIDaFr7zRWrVpFNWvW1ETTvF3so02bzUbnz5+nunXr0rPPPquGV/jhhx/I29ubnn76aTp69Cjt2LGDxo4dS97e3nT48OFSqdtkMlF0dDQ5OzvT3LlziUhc67Fjx6hdu3bk7+9/33XyHPv1nDlzhr788st8ZrVt27alF154gYiI+vbtS3Xr1qUFCxZQWlraXW9rQchOXyIpBfbv30+hoaH0yCOPUFBQEIWHh9O8efPU7Y0bN6Z69erRuXPn1NDAw4YNo9jY2DvSIXzxxRfUpEkTeuGFF1Rnn99++40iIyOpfPnyFBkZSbVq1SpViWHv3r3k6+tLkZGRFBYWptrZ218Kx48fp06dOpGiKPd1x5+YmEheXl6kKAqFh4fTZ599Rhs3biSiXImtU6dOdP78ebJardS7d29q1KgRzZo1izIzM+9xy3ORnb5EUkL2799Pbm5uNG7cOMrOzqbdu3dTTEwMPfLII5o46Y0aNaJy5crRI488Qh06dCAvL69SsdLhI23O4sWLqX79+vTCCy+oo/msrCzaunUrHThw4Ladn+yj3aysLMrIyKCLFy9SSkoKZWRk0K5du9TQwBUrVlQDqdnbGBcXR927dy+VZCD3irNnz9JDDz1EDz30EHXs2JG6dOlCsbGxNHDgQPrtt9+oatWqNGvWLCLKve4uXbpQ8+bN6caNG/e24TeRnb5EUgLOnDlD/v7++cIptGjRgkJCQlRJx87cuXNp5MiRNH78+FLp+Oyd6a+//kqdO3emF154gT7++GN1O+/4S+MFY+/wjxw5Qk899RTVqVOHPD09KTIykj766CM11v2RI0fooYcectjxl8b8wb3Cfg3Hjh2jNm3aUK9evWjevHl08OBBat++PfXp04cURaHIyEjNl8691PDzIjt9iaQE/PXXX1SpUiXq27cvbd++nYiIZsyYQYqiUN26dalVq1bUtWtXGjNmDJ07d+6OJADZuHEj6fV6GjhwID322GNUq1YtGjBggLp98eLF1KRJE3r66adLpN/bO7wDBw6Qt7c3vfjii7R06VL6/PPPqWfPnqTT6ahXr15qOOCDBw9Ss2bNKDIy8o5n+7qb2O/DkSNHqG3bttSqVSv6/fffiYjo0KFDNG7cOFq+fDkR0X/SKkl2+hJJCfnll1+ocePG9MILL9BLL71E/v7+tHr1aoqPj6eNGzfS7NmzKSoqioKDgyk2NpbMZnM+C5Db5fjx47R48WL66KOPiCg3cNenn35K0dHR6oQiUW5ilhYtWpQ4ns/ly5epfv36NHr0aM36jIwM+vzzz8nZ2ZmGDBlCRLmd46FDh6hmzZpUo0YNslqtpZby717D5ap27dpRy5YtaeXKlfe4VUVDdvoSyW3CO7D/+7//owYNGpCrqyvNnj07375ms5nWrl1bqtEyT548SbVq1aLg4GCNx2tycjJ99tlnFBUVVepJxbdv3041atRQvxjyvrzef/99UhSF1q9fr66Li4u7Lydu33//fdXs1BE83WO7du2odevW9L///e8ute72kR65EsltoiiK6tn6xBNPYPr06ahRowZ2796N7du3q/vl5OTA2dkZHTp0QGRkZKnV7+rqiscffxxEhC1btqjrvb290bNnT4wZMwarVq3CsGHDAABeXl4lrvPQoUO4ePFigQldOnfujKCgIBw8eFBdV7Vq1bsXV6YU2b17N3r27Il169Y53G5//lWqVMFHH30Eo9GImTNn4qeffrrLLS0m9/ilI5Hc9+Qd8Tdu3Jh69uypavx3oh47Fy5coMmTJ1N4eDhNmjRJsy05OZmWLl1aqnHp//rrL1IUhVavXl3gPjExMfTGG2+UWp33khdffJHc3d3zRULl2J/LoUOHqFu3bmo8of8qstOXSIqI/Y9769at9M8//zjcRpTb8dvN+Xbu3Fmqde/YsYMWLlxIM2fOVCWWa9eu0eTJk6lKlSr5Ov7S1tCPHTtG1atXp06dOmkmhW02G1ksFrp69So1a9aMfvjhh1Kt925is9lU2SolJYV69OhBISEhGskqL/b97wfLJNnpSyTFYMOGDeTp6Uk///xzvoiQvIP98ccfqVWrVpSYmFhqdf/vf/8jb29vatCgAcXExJCLiwt98MEHlJ6eTlevXqXJkydTrVq17vgo2x4Dv3fv3vni7k+aNIkiIiLuSELvu4X9Of7444/UrFkz6ty5M+l0OvL19S10xM+P/S8jO32JpIhcvnyZ3nrrLXr33XcL3If/0Zemp+3hw4cpODiYlixZQhkZGURENG3aNPLz86M5c+YQUa6n6OjRo6lJkyZ05cqVUqvbDr+2GTNmkLu7O1WqVIlGjRpFo0aNon79+pGvry/t2bOn1Ou+2+zYsYNcXFzoiy++oLNnz9LevXupZ8+e5OHhccuO/7+O7PQlkltgs9no8OHDZDAYKCIighYuXHjL/fm/t1snP37jxo0UFRVFp06d0ljMvP322+Tm5kanTp0iIqKLFy/ekQ7fDq975cqV9MILL1BkZCTFxsbSkCFDKC4urlTqsdu33ys79++++45q166t8avIzs6mHj16kJ+fn2qXfz8iO33JfcG9+mzm9b722mukKAoNHz78rgXQWrFiBR09epT+/vtvcnFxUeUiexwXs9lM4eHhtGjRojvaDt7Z5zXTtEeRLI0OOjExUY0OumLFClq0aNE96fgXL15MRqNR/aqyS3lbt24lRVFIr9fThg0b7nq7SgNpsin5T0M3TSKJJf1w9P87Va+iKOq6OXPm4JVXXsG8efOwYsUKZGdn39E27NmzB927d8fGjRvRrFkzNGjQAL1790ZGRgZcXV1BREhPT4eHhwe8vb1LpU77de/btw/ffvstFi9ejDNnzkCnE10FLxMRDAZDvvW3Q1paGoYNG4axY8di1qxZ6N69O4xG4x1PrOLot9S9e3fExMRg6NChSE9PV1NX+vv7o2fPnhg0aBAqVqx4R9t1p1DoTv/1SCS3CRFBURT89ddf+N///oeMjAyUL18eM2bMuCv1btmyBb/99huysrIQGhqK1157DQAwbNgwLFq0CJ999hmeeeYZuLi4lHobDh48iB07duDq1asYO3YsAGDNmjWYNm0a9Ho9Fi5ciKysLKxatQqfffYZ/vnnH4SHh5dK3StWrMDw4cNRsWJFuLm5YePGjVi5ciU6d+5cKucvjJ9//hnjx4/HoUOHMHXqVDXrVElfKAVhf9Y7duzAjh07kJWVhWrVquHJJ5/EokWLsGjRIkRFRWHOnDkwm82YN28etm3bhrVr196R535XuCffFxJJEVm5ciV5enrS4MGD6Z133iE/Pz9q2bLlHY9YuGLFCvLy8qLnn3+eXnzxRSpXrhw98cQT6vZhw4aRp6cnff7555SVlVUqddqlpMTERKpfvz55eHjQlClT1O1ms5l+/fVXat68Obm6ulJ0dDRFRUWV6sTpnj17yN/fnz7//HMiIjpx4gQpiqJpx53ALhklJiZStWrVKCYmhrp166YGibuT8t6PP/5IPj4+1L17d+rQoQNVrlyZRowYQVarlebNm0cNGjQgJycnqlKlSolzCP8XkJ2+5D9LUlIS1a5dWw1rcP78eQoJCaGXX35Zs19pdwhnz56l6OhoNVrlyZMnyd/fn1588UWNnv38889TcHDwbYc3cGTbbY+8OXfuXIqJiaGHHnrI4bFbt26lgwcPUlJS0m3VXRCrV6+mbt26ERHR6dOnqWLFipr7bU/4Upr33H6u+Ph4ysrKovj4ePrpp5/oscceoyeffDJfx1+atvBHjx6l0NBQmj9/PhHlBpPz8vKiYcOGEVHuPIXJZKIffviBfv311/synEReZKcv+c9y8uRJqlmzJuXk5FBiYiJVqFCBXnrpJXX7b7/9Vqr12TuV3bt3U+3atYmI6Ny5c1SxYkUaPHiwut8ff/yhlkva6R4/fpz69eundiyKotCJEyfUAGYxMTHUu3fvu+b8M2fOHIqNjaXjx49TWFiY5kW3Zs0aGjx4cIly6ebFfs9/+uknio6Opq+++krd9v3339Njjz1GXbp0UTv+GTNm0JIlS0rtpfPHH39Qo0aNiCj3ZR8WFqb5je3atatU6vkvITt9yX8Ou7VGYmIi1a1bl7788ksKDw+nl156Se30Tp06RU8++SRt2bKlxPXZOxD7KHbfvn3UtGlT+u2339ROwG69cejQIXr++edVSaWknc/+/ftJURR6+OGHycnJiZYuXapuy8zMpAULFlC9evWoT58+al130pply5Yt9NBDD5Gfnx/169ePiMQXyYgRI6h79+6lHh561apV5ObmRrNnz84X+vl///sftWnThmrUqEHPPPMMKYpSqolnNmzYQK1bt6Z9+/ZRaGgovfjii+r93bVrF7322muqOeyDguz0Jf8JeIiDb7/9lhITEyk9PZ2efPJJcnV1pa5du2r2HzNmDDVu3LjU5I3du3dTt27d6NKlS3Tu3DmqU6cO6fV66tu3r2a/N954g5o3b14qtvD2zsUembJx48Zqpi07GRkZtGDBAmrcuDF16dKl1Ea49vPs27eP/vzzT9q2bRsR5Xbw/fv3J39/f5o9ezYlJyfTuXPnaOzYseTv70+HDh0qlfrtXLlyhRo2bEjvv/8+EeWaRmZkZNCKFSvUBDSbNm2i8ePHU8+ePW+r/sL8Jvbv309+fn6k1+s1I3yiXBPddu3alUoO4/8SstOX3HO427uXlxdNmTJFzeu6detWioyMpMcff5y++OIL+vXXX2no0KHk7e2t2nOXBt999x15eHioo8g1a9aQTqejF154gdasWUP//PMPvfbaa+Tt7U0HDhwocX28I/ryyy9pypQp5O7uTt26dcunG6enp9NHH31EzZo1K9UMTKtWrSJXV1eKiYkhvV5P48ePJ6Lcl9Fzzz1HtWrVIldXV2ratClFRUXdkQnMs2fPUkREBG3atIlSU1NpypQp9Mgjj5CTkxNVr15d4wSVN+xFUcibSnLXrl30zTff0DfffKNm9Pr2229JURR688036d9//6XDhw/TG2+8QT4+PnTw4MFSuMr/FrLTl9wz+Mhrx44dFBAQQIsWLcqnW//111/UvXt3Cg4Optq1a9Njjz1WKh1+Xq/Xrl27UosWLVTHp59++okaNWpEgYGBVKNGDWratCnt27evVOolIvr9999p/Pjx6lfDv//+q3b8PFKjXUoqjXj49vrT09OpVatWtGjRIjp+/Dh9+eWXZDAY1AQoVquVDh8+TF999RX9888/dzTdX/v27SkgIICCg4OpS5cuNHv2bEpPT6eqVavS8OHDb/u8ixYtok6dOqkd/rfffkseHh5UuXJlCg8PJz8/P/rpp5/UfYOCgigoKIhq1qxJderUKRUZ6b+I7PQld509e/aoXpx25s2bRw8//LDqAUmkHdnl5OTQlStX6Nq1a5Senl6q7bFr1itWrKDGjRvT1q1b1W1XrlyhEydO0Llz50qt07XX5enpSWPGjKHt27erL4K9e/eSu7s7Pf3007R582aaPHkyGY3G205izrHXkZaWRsnJyTR69GhNJq3Vq1eTwWCgoUOH3pF5Ax6CeNOmTfTjjz+q7fn888/piy++oOTkZPW59+7dm6ZMmXJbkpbFYqGPPvqI6tSpQ8899xwlJSXRk08+SUuWLKGrV6/SpUuXaODAgeTu7k5r1qwholzz1B07dtCBAwfo6tWrpXTV/z1kpy+5q3z55ZfUsGHDfHb2r7/+OjVu3Fj9PzeN3LNnT6mNNO0dyJ49e6hZs2a0e/dudaSdkZFBdevWzZfkvLQ5fPgwhYSE0CeffKJZb+/s9u3bRxUqVKA6depQ+fLlS9UOf9WqVfTwww9TvXr1KCQkJF+I6NWrV5O7uzsNGDBAHSGXBvb7vmLFCoqIiKC6detS5cqVqWbNmup8gp0bN27QxIkTyc/Pr0TJ4zMzM2nhwoXUqFEjat++PTVv3jxf5rL+/ftTUFBQvrmUBxnZ6UvuGosXL6aUlBQ17O6FCxdUx6aVK1eSXq+nX375RXNMRkYGjRgxglavXl1qk5grV66kjz/+mDp27EiRkZH01FNP0YoVK4iI6O+//6aqVauqo787werVq6lu3bqajsb+krP/m5CQQDt27ChxTlvOrl27KDAwkIYOHUpjxowho9FIvXr1yhf++fvvv6egoKBST2a+detW8vHxocWLFxNRbmx+RVFUG3kiovXr11OXLl0oIiKiRHMI9t9KVlYWffrpp9SkSRPy9PRUR/B2Cc/ui3Ann/d/DdnpS+4Kb731FimKopq/7d+/n6pUqUJLly6lzMxMSktLo969e1NUVBT93//9HxHlmlBOnDiRgoKCSs1sbseOHaQoiupx+sMPP9CQIUNIr9dTz549aezYsdSpU6dCwyeXlG+++YYqVqzoMMPS77//Xqox+O0cP36c3nvvPZo6daq6buPGjeTs7Ez9+vXLV+edCCi3YMECeu6559T2REZG0osvvqjZJz4+nubPn08nT54stXrT09Ppiy++oODgYOrYsaPmCyYxMZHCwsLo559/LrX6/uvITl9yR7HZbJSQkEDVqlVTk0bbLSI6duxI9erVo2+//ZZsNhsdOXKEBg8eTE5OTlSjRg2qW7cuhYSElJrVyKFDh2jhwoUOO/R//vmH+vfvT7GxsaQoCoWFhamjwdJmy5Yt5O7uTp988kk+i5SXXnqJ3n777XyRLG8Xm81G165do9DQUDIajfm8mTdt2kTOzs40YMAAio+PL5U6ed1EpE6Ivvrqq9S9e3dKS0tTbeLt12nPBlZadV64cIEuXryoXpPZbKbFixdTzZo1qW3bthQfH08HDx6kiRMnUkBAwH2d9KW4yE5fckex/1G3adOGunfvTkuWLCFvb291JNelSxeqUaMGfffdd2S1WslqtdIff/xBH3zwAS1fvrzU3N7PnTtHDRs2JE9PT5o+fToRCe9WexvT0tIoPj6eRo4cWapmmTt37qRvv/2W3n33XXVu4p133iG9Xk8fffQRHT58mOLj42n06NEUEBBAx44dK3HdvH6iXAuoqKgoio2NzedlunnzZlIUhYYMGVLqE7hr1qwhX19f+ueff+j333+nxo0bk4+PjzrCt9/7V199lXr16lWiSXr79a5cuZJq1KhBlStXpoCAAJowYQJdvnyZLBYLLV68mIKDg8nLy4vatWtHzzzzTL7sXw86stOX3DH69+9PzzzzDOXk5NBPP/1EVatWJUVRaN68eZr97B3/N998o7HeKU1SUlLo/fffp0qVKlHLli3V9Xc6VvuPP/5IwcHB9Nhjj1HDhg0pICBAncCdNm0aBQUFUWBgINWsWZMiIyNL5asmr+euvWP9448/KCIigp577rl89WzdulX1jSit+hMSEmjAgAGqZn/27Fl68sknKSoqir788ksiIrp06RKNHz+eypUrVyr1//HHH+Ti4kJz586lNWvW0Oeff05eXl7Ur18/unbtGplMJlq0aBFVrVqVevToUeqWYPcDstOX3BGWL19OQUFBqj39+vXrydPTkypVqkT9+vXL5+XYpUsXqlevHi1atCifOeftwEe5dgnF7t0aGRlJL7zwgrr9TnX8e/fupZCQEDW0Qnp6OimKQu+99566z8GDB+n333+n33//vVQmbbkPwNChQ6l37940bdo01eTzt99+o4iICOrdu3ep+BwUxI4dO+jpp5+mxo0ba6yP9u7dS507d6bIyEgKDw+n2NhYCg8PL/HLzv4Mhw0bls97+/fffyd3d3d1PiM9PZ2WLFlSpiQdjuz0JXeEWbNmUfXq1Ykod/T1+OOP0y+//EKLFy+m2NhY6t27dz6zzccee4yaNWtW4tguPK7K8OHDqXXr1vTpp5+qqQbnzZtHderUoQEDBqjHlLTj37ZtW77rWbt2LbVt25aIiOLi4ig8PJwGDhyobr9TtuCrVq0iFxcXGjhwILVp04YaNmxI4eHh6sTx+vXrKTo6mp588slSkbEc8eeff1KtWrXI2dlZE0+IKPcLYNu2bTRjxgz6+eefHU5oFxX7s7Z34D169KCnn36aiHJf9nYJb86cORQaGloq/g73O7LTl9wRNmzYQI0bN6a2bduSoihqMmmz2UyffPKJ2vHndXiyx1spKatWrVLj8E+cOJEqVKhA7du3p0uXLlFqairNnTuX6tevT88880yJ6rHZbLRr1y5SFIXeeecdzQvrww8/pCZNmlBycjKFh4drJi5/+ukneuONN0pdzrpy5QrVrVtXMyl68OBBatOmDUVGRqqhB9atW0d16tS5o562W7dupaZNm1LLli3vaGpBe3TSq1ev0ieffELu7u7q5LH9Zf7VV19RrVq17lqay/8ystOX3DH69u1LiqLQo48+qlmfk5OjdvzPP/98qQe0SkhIoDp16tCCBQuIKLdj9vT0pNGjR6sjw4yMDJo5cyY9/PDDty2rcAnp/fffJ71eT9OnT1dfZGfOnKGaNWuS0WhUJy7tx7zxxhvUqVOn204GYz+PPcyx/f9nzpyhoKAgWr9+vbqvxWKhvXv3Uv369enjjz9WXzyl8cLhoSyOHTtGW7Zsoe3bt6tmkRs3bqSHHnqIunTpoglJXVKfC/vxV65coeHDh9NHH31ERLkmmF27dqW6detqwiiMGjWKYmNjSz1C6P2I7PQlJcbeiWRmZlJ2djadOHGCkpKSqGnTptS/f39q3LgxDRgwQJNhymKx0IIFC6hatWr04osvlqgTyGvemJiYSPXq1aOMjAw6fvw4VahQgQYNGqRu3759O1mtVkpLS7vtFw7P9GTno48+IkVRaPr06ZSSkkKZmZk0fvx4ioqKojFjxhBRbsc4btw48vX1LXHEyqtXr1JAQIDqc0CUm6S8QYMGavA0OzabjRo3bqwmB7GvKyk8WF54eDhVrFiRwsPDqUqVKqo37Z9//knNmjWj7t2706+//lqiejg7duygxo0bU6NGjTTzE5s3b6Zu3bqRi4sLtWnThh577DHy9vZ+YGPpFBfZ6UtKhL3zO3LkCHXt2pVq1qxJer2eWrVqperXc+fOpYYNG9LAgQM1k7Q5OTm0cOHCEpllnjlzhj7//HPNROC+ffsoKCiINm7cSJUrV6aBAweq7dy/fz/17NmzRGZ69nPt3buXwsPDNclc7B3/tGnTyGq10uXLl2n8+PEUHh5OXl5eVKtWLapWrVqpWOnYvZUNBoNqDWM2m2nYsGEUGxurehnbeeqpp2jChAn5As3dbt12tm3bRh4eHvTFF19QXFwcbdu2jdq2bUvBwcGqae6ff/5JNWrUoOeee67YXxj2+3316lU6cOAA7dy5k4hy54qaNGlCbm5u+eYmLl26REuWLKFXXnmFJk+eXKJwDg8astOX3Db2juPAgQPk7e1NQ4cOpYULF9KPP/5InTt3Jp1ORz169KAbN27QJ598QvXr18/X8ZeEAwcOUExMDD311FPqnIGdXr16kaIo+TT7cePGUaNGjW5b0rF3QPv27SMXFxcaN24cEWlHoh9++KGq8dtsNjKZTHTx4kX65ptvaPfu3aUaWiElJYUmTpxIiqLQ119/TURE165do3bt2lGTJk1o+PDh9MMPP9CwYcPIy8uL4uLiSlzn7t27qXLlyurk6aeffkqtWrXSTIanpqZSq1atqE6dOupk6tatW4v9grff74MHD1KTJk2oQoUKaj5botywGbVr16a6deuqcXXuZD7dBwHZ6UtKxOXLl6levXo0duzYfOvnzZtHLi4u1L9/fyLKHfHHxsZSz549S9zxx8XFka+vL40dO9bhZOSmTZuoZcuWFBMTQxs2bKAff/yRXn/9dfL09LxtU0Xe4bu6uqodvh2e9YmP+EsjOmdeCSsnJ0fTuTVr1owURaFly5YRUW7Hb9exo6Oj6ZFHHikVeWPfvn3k6empCXk8efJkKleunKZtRLnmoZGRkbctY/H77e7uTsOHD6e1a9fSW2+9RQEBAerv6ueff6bHHnuMmjdvrr5Ubif2fllBdvqSEvHvv/9SzZo16eDBg/mcgZKTk2nq1KlkNBppw4YNlJWVRVOnTqVWrVqVaLSbmZlJ3bt3p6FDh2rWm81mio+PV+P0HDx4kJ5++mny9vamWrVqUevWrUsch//EiRPk4uJCEyZMICIxqnznnXeoQ4cOmuv66KOPyNnZmSZOnFgqE4jnzp1TJyyJxH1+7733KDAwUE0naA9oZrFYyGq10qVLl0rFCWn//v3k5uZGb775pmb99u3bqXHjxvTee+9pciHs3r2bwsPDS3TP895votzn/Nxzz1GVKlXUwcPq1aupVatW9Nhjjz1w6Q1LG9npS0rEkiVLyMXFRf1/3k/r06dPk7e3txrvJisrq8RhbM1mMz388MP08ccfq+vWrVtHw4cPJy8vLwoLC6P27dur206ePEnp6eklTuhttVpp3LhxFBgYSLNnz1bXT58+nby9vWndunVEpLX5nz59Ovn6+pbYJt9isdCYMWMoJiZG49w1bdo08vPzow0bNlBOTg5NmDCBFEVRNf7SIj4+ngICAvLJZXPnzqVBgwbRwIEDqWXLlupzTktLo/Hjx1O1atVu2zae32/+siPKfaHWqlVLc+7/+7//owYNGlCnTp3yfQlJBLLTl5SIv//+m1xcXNSEGI6oV69eiTIg5SUlJYWqVq1KgwYNori4OJo+fTpVqVKFunXrRh999BEtWrSIKleuTK+//joRla7H7fnz5+m1116jJk2a0IIFC+i9994jf39/tcN3RGnFak9MTNTUPXPmTPL399fMZ6Snp6sRTb/77rtSqZcod8K8UaNGmmT006dPV23ib9y4QUOGDKGqVauSl5cXNW3alAICAko8Yc3v97Rp04goVzr08vJS/8879zVr1pTI2assIDt9SYlISEigcuXK0ZNPPqn5Y7NLD9evX6eHHnqIli9fXqr1/vHHH6TX6yk8PJw8PT3p008/pRMnThBR7pdA27Zt8yU1Ly2SkpJo2LBhVKVKFdLr9ar9OdeRJ02apHr8llbEzKLWnZaWRtOmTSu1WDp2jh8/Tu3bt6cnn3ySBg0aROXKldNYLqWlpdGJEydo7ty59MMPP+RLWHK72K/5oYceolGjRlHFihXplVdeUbeXhjVSWUJ2+pISs2LFCjIYDPT888/nm7SbMGECRURE3JE4J/Hx8ZrMV3asVis9/fTTpWae6IiLFy/Sq6++SrVr16YPPvhAs23SpEnk4uJyx6I3FlQ37/jvVCd47NgxatOmDbm6umrqvtOB6y5cuEDDhg2jkJAQatiwobpeTtgWH9npS0qMxWKhTz/9lPR6PVWpUoX69+9P48ePp969e5Ofn1+pxcMvCiaTiSZMmEDly5en48eP39G67CPQJk2aqFr2O++8c0c7/MLqJrrznS9R7hxJ27ZtqUOHDvT333+r6+/0aPvixYv0yiuv5Lvm0vySKgsoRESQSEqBHTt2YObMmTh27Bh8fHxQt25dDBs2DFWrVr0r9X/11VfYtWsXvv/+e/z666+oV6/eHa/z4sWLmDZtGvbv3w+TyYQDBw5gy5YtaNCgwV2re+/evWjVqhWmTJlyx+u0c+LECbz66qsgIkycOBHNmjW7K/Xey2t+YLjHLx3JA4bFYlFHfHdzBHb06FFq0aIFPfXUU6WuZd+KpKQkeuGFFygqKuquu/onJSVRv379qHXr1ncsamdBHD9+nB5//HFq2rQpbd++/a7Vey+v+UFAjvQlpQoRQVGUfOW7weXLl2E0GuHt7X3X6rRz5coV2Gw2BAUF3fW6L126BAD3pO6jR49i4sSJmDVrFsLCwu5avffymu93ZKcvkUhKhNlshsFguNfNkBQR2elLJBJJGUJ3rxsgkUgkkruH7PQlEomkDCE7fYlEIilDyE5fIpFIyhCy05dIJJIyhOz0JcXGZDJh8uTJMJlMZabusnjN97Lue3nNDzz3zi9Mcr+SkpJCAEolMcj9UndZvOZ7Wfe9vObbZdOmTfT4449TSEgIAaBVq1bd8piNGzdS/fr1yWg0UmRkJC1YsOCOt1OO9CUSiaQUyMjIQJ06dTBv3rwi7X/mzBl07NgRjzzyCPbu3Ys333wTr776KlasWHFH26m/o2eXSCSSMkKHDh3QoUOHIu//6aefIiwsDHPmzAEAVKtWDbt378YHH3yAbt263aFWyk6/zGGz2XDhwgV4enredlyc1NRUzb93k3tVd1m85ntZ9+3WS0RIS0tD+fLlodMVLGRkZ2fDbDYX6Xx5/06MRiOMRmOx2uWI7du3o23btpp17dq1w6JFi5CTkwNnZ+cS1+EI2emXMS5cuIDQ0NBSOVdpned+qrssXvO9rPt2601ISEDFihUdbsvOzkZgeCTSL1+85Xk8PDyQnp6uWffWW29h8uTJt9UuzsWLF/MFjAsKCoLFYsHVq1cREhJS4jocITv9MoanpycA4PV/42H08EL8j7vUbWS1ibJFlHPSMtSyW4i/WjZd047CdEYWdEsnRkc5KeKPxtnTXS3brFa1rLBRWcqevWrZJVREbrRmZatlg7+vWrZkZIrze3mgIGxmi8P1eg9Xca40cS69p5uoO1PUrTiJtlqzhHWJOTlFLTu5uog2eWrbxNtr8PVSy+knT4v1/gGi3SYxIrVmiHvpGio6teykS2pZx0ahXlUrwRH8mQCAE7sHmmu6Lp6xwVtch95L3Bt+Lns5vII33n61OXZ8OAJp50/DN0D8Nn785bqoyyZ+J54u4jcHAC2b+ajlPf+Ke/vwI35qed2Ga6JNOgUmqxWz/v1X/Z07wmw2I/3yRby+8xyMHl4F7mdKT8XsxuFISEiAl5fYrzRG+XbyfkXQzVBodzI6rez0yxj2H9OldcdgcHFHzAut1G1xH65Ryy5B4g9LsYgfoPky68A9tJ2Z3k38MZhTxIvC1Zedy8lJLZONvWTYC8c1SIzuPFi43hvbtqtlA3sZOPGfsU37x8I7VbDYgvylxjtrhb0XdDZxXp2LuFayiJ145+dsFGXe6VsysjRtcvUvJ45hL5ZsOquWPUIqqOWM+ERWn3jp6p1FR230FvcYNnGdBhfxks1h7dAp2qiYTuBSAnsW7OXjZBT76F3E9Skmcc+NHrlhrT2CPeDl5QVPNyPg6gxzqjinm17cV29x+UhM1rapbmygWk67Ku55yx4RavnUYfE7MzjrkJVjAf4tWqdpcPOAwb3gQYL99+nl5aXp9EuL4OBgXLyo/dq4fPky9Ho9/P39Cziq5MhOXyKRlEnIYtO8/B1tv5PExsbi559/1qxbv349GjZseMf0fEA6Z0kkkjIK2eiWS3FIT0/Hvn37sG/fPgC5Jpn79u1DfHw8AGDcuHF4/vnn1f0HDx6Mc+fOYcSIEYiLi8PixYuxaNEijBw5stSu0RFypF9GIasNZLVpJJ1qIzqp5bjZa9Vy1pkzatktKoqdQ2jyAJB1UeirLgFCc+f6vjlZyEP8eKO/yHalYwk5zDfYvIHN8chLZ2Cyg7urZps1W+jh5uvJatng56OWuRSj9xDyky1HSArm6zfUslsFMcFmuibWO3szHZnJC85eQmIBgJxUIUnonJ3gCCImsfD6roh7bDPnqGVjoJADrJlCxrExKUrnLP7c8z47o4+QOUxMBtPIcXwORhHjxczzSWpZvTfW3HOEV/NETpAvfv3hPDtW1MuzeVhIK8kkHktTy+7uoh0JB4Ucl2MRJzh41gKT1fG8jUOINFKYw+3FYPfu3WjZsqX6/xEjRgAA+vbti6VLlyIpKUl9AQBAZGQk1q5di9dffx2ffPIJypcvj7lz595Rc01AdvoSiaSMYrNYYbNYC91eHFq0aKFOxDpi6dKl+dY1b94c//77b7HqKSmy05dIJGUT2y1G+sWUd+4XZKdfRrFPYnErHS7pVHu9o1o+8flfalnvLqSQ9JMJmnN6VYtUy1xW4RKGJZ1JG0yW4dY7ip7tz8xFYXP86c61V9PVG5ptXMYx+DpOmM5lnOxTwmzSvUqMWramCknBGigsWvQezHQxVUhXXBYxXRTyBwC4VxZmlNmXrqplZ2bVY0kXZp1cxnH2FlYkvI6cFCGFWJlJqEugeL5OLkI2M/hoTRpz0phlD3suCpPmTMycVccscDyjI8R5bkpXdllp39ZruHHmIho0FXLfyZXimn09hUxkcNY+Xy9/0d4bV4QZafoN8dviA2sPow3O1qJPvt5Kty+upn+/IDt9iURSJrnX1jv3CtnpSySSMgnZbBpfEUfbH0Rkp3+HyMzMRJ8+fbBhwwakpaXhxo0bMBgM+dbVrVsXw4cPx/Dhw+9q+3LSMgCz9vOdW+lwSSf6RWGRcHLhRrXsWkHIEQCQmXhZLXOJgMOlB7fyEWrZdF3IJ1lx+9WyR4OmYh+d+Lnq3YTMBFY2J2vr47KHwU/IO9wDOCdZWAj51K+jljMviOvxrFZVrE+4oJaNQcKByMgslri8pff20bTJmi2kCmOAkF+4nOASKNqalcSsosqJOsw32LUxJzQbs2CyMmmITzKmHjmuaROZhMexs7+4JoVZ/JgSzom6g4RFkXu4cCSzW/jYO0w/fwOcs4yIaSKu0+tXIe9weSa8vNY5Kz05B47QO4tnF1xOHHP8QjZM1qJ7spKVCh/pWx9MeUfa6d8GCQkJGDBgAMqXLw+DwYDw8HC89tpruHZN/HEuW7YMf//9N7Zt24akpCR4e3s7XLdr1y68+OKL9/BqJJKySWnb6d8vyJF+MTl9+jRiY2MRExODb7/9FpGRkTh8+DBGjRqFX3/9Ff/88w/8/Pxw6tQpVKtWDTVr1lSPdbQuMDDQUTUSieQOQ0SFmlgWtu1+Rnb6xWTo0KEwGAxYv349XF1zP6PDwsJQr149VK5cGePHj0dcXBw2bdoEIDcGSPPmzQEg37qNGzciIiJCI+8kJydj9OjR+Omnn5CSkoKoqCi8++67ePzxxwEA27Ztw9ixY7Fr1y4EBATgqaeewowZM+Du7o7i4BbiD4OrB9LPidgf3PGKW+lwSSdqYAu1fOT9/9OelHndmG8Iuca1vJCB3CuJuDr8j8oY4KOWbbUaiHYwxykwhyULC4DGyesIlcUkmuxL4kuMO1Lxspk5TrlVFBEQTVeTRVuZpMPblHVBBD0z+AkZxslV6zCmiQfE4O3LZGkCuZVOysFjatkjKoK1T2u1pLaV3VduIWUM0kpzfBu/h1ym8qojpC9FL0QCnUF0I4ab99L5plVTSnIOkq+acfmMuK8JKcyyiTmPpWVqpZaIKPa8c9hvxU0cn5wsjg/2BrKL45tlsYIKscUvbNv9jOz0i8H169fx22+/Ydq0aWqHbyc4OBi9e/fG999/jxMnTmDcuHE4dOgQVq5cCcNND9OxY8fmW8ex2Wzo0KED0tLS8NVXX6Fy5co4cuQInG7+0R88eBDt2rXD1KlTsWjRIly5cgXDhg3DsGHDsGTJkjt/AySSBwhpsim5JSdOnAARoVq1ag63V6tWDTdu3IDVaoWbmxsMBgOCg4PV7Y7WcX7//Xfs3LkTcXFxiInJtRGvVEnYdL///vvo1auX+lUQHR2NuXPnonnz5liwYAFcWORDOyaTSZNc+l4k4pBI/otIk01JiSlpLOx9+/ahYsWKaoeflz179uDkyZP4+uuvNXXabDacOXPG4ctoxowZmDJlSr71pmupsBmtGuciHluFO15xKx0u6VQf9aTmnMcX/K6WLcxRScfkCZ2RWYOwePxOriIsc851EW+dx4vRefqIyniYZD4iy6PDurCYNNwRilstMYUGZBEWI1za4NKVJgYNOw+3YuHhlF3KsbDH0Mbj5/txGYc7VXELHGuWkKJ4DB+FOUvlpKQ63MfJRdxjHm8I0MYlUpyYAxi/T+xGKcwGhMfft2PPlVCltjdM5f1xNVFcZzl3ocH4uIvz3EjXdrL8z8jgIvZz9xVfyZnZ4hgXg6KJ83QryupIX1rvFIOoqCgoioIjR4443H706FH4+voiICDA4fZbkVcyyovNZsNLL72kRvLbt28f9u/fjxMnTqBy5coOjxk3bhxSUlLUJSEhweF+EklZg+gW1jtyIlfi7++PNm3aYP78+Xj99dc1nfTFixfx9ddf4/nnn7/tkX7t2rWRmJiI48ePOxzt169fH4cPH0YUm3C9FaWVz1MiedAgqzVftNG82x9E5Ei/mMybNw8mkwnt2rXD5s2bkZCQgHXr1qFNmzaoUKECpk2bdtvnbt68OR599FF069YNGzZswJkzZ/Drr79i3bp1AIAxY8Zg+/btGDp0KPbt24cTJ07g//7v//DKK6+U1uVJJGWHW9noP6DyjhzpF5Po6Gjs3r0bkydPRo8ePXDt2jUEBwejS5cueOutt+Dn53frkxTCihUrMHLkSDz77LPIyMhQTTaB3C+BTZs2Yfz48XjkkUdARKhcuTJ69OhR7Hp0RgOcXAwa0zseD58HT+Oetlxo5Ro+AMS83Fot8zj9PKa7icfHZ5/P3MST18G1fg7Xwnks/tSDWunNrZK4DhvT63mcfptZaPfOXkIzz0oU5qxcz+bmmGBx5bmXq8IyH+nyWGrx43ndOSksqBvzXOY6td7d8RxM5qmTYh8fx79BRTMvodXPXUOYFy6bWzCz4GYcPj/AA9apHeVNb9YLZzKQlpiKgBAxh3AtU5zfg+XFDfTWjkGNbqJ7Sjwonldtszgmg2n6Z646wWwt+jhWTuRKikx4ePgtTSTnzJlTpHVnz57V/N/Pzw+LFy8u8LyNGjXC+vXri9JMiURSCNI5SyKRSMoSNtwinv5da8ldRXb6ZRVdrnmbOUWY9LkUEDCMB0/jMgw3ywRQpNSLXNLh53X3EwG8Ug4Lr1PuaUpmYRrIvUa5HOFVu4amTdzkUwOTZfTuwqzTkiE8fbX5AVjgMiarWDJFm/QeQhoyMjNNLkUB2pwC3JyTSyY87WMOi2PPzTGdvUSKQ5ewCHEenv6RnYdLOoa8nsvMG5jLZQXBvXA59mu1S3qE3EeenSnumZuzaEd6tvg9nE/WGkBUTxTX7e0l6jt3SPwGG9UT5qVJf6VCUYo++VrambPuF2SnL5FIyiZEhefBlfKORCKRPDjY7fQL2/4gIjv9MkpOSjqQTdC7MesYZiXCUxxyePA07mkLaK10Ckq9ePbbf9Ry5vkratngK6QRg7+QPAw+Qmrg8geXbbj8wVMCAoCNCojJzgLKUY74jOfHc6mHpwcEv25u1ePvI+rlKQ49tFKKJsY9sxDh0hmXvrTWRULS4TIMl3G4NQ1/jjlMslPyeK7yIHC8IzSwYHTc0svJ6DjVpT1/gcUzt97MdCvSUi0wGMWxmTmiXMFX1KXXaUX0bGaZU45Z/zgbxPFpqeJeVvRTkG0phkeutN6RSCSSsoO03pFIJJIyhAytLClTOHu6w+DirhnNmJOFNQ63MOGOQjwePg+eBhTseMUlnYhnRfrD00u3iDpY0C6bSXyyc7kl87xID8hTE3IJI6/rvJOLkD2c+Oc6a582NryQLXhgNB6AzqNyRXEeZgXEUzM6uYl6LVna2P/8mnRMJjH4CrnG4CNknILCAXBnOi59aayLmETFpTxNMDkArkE8DaP4HfDfRw6z1uLWUzwPgEtQriWUwT+3/QHBRrjaXJHA4ul7G5lDlr+4/ot50iP6lxPtvZIkrsPNU/zurl0Tx1isBEsxUhyW1YBrstOXSCRlE2m9I5FIJGUHm8UGWyGTtYVtu5+RnX4ZxWa1qjHP7XBZgMscbuUjxD5s9MPj4d/c6PB4bqXDJZ1K/R5Wy8fmidASTm7CUiMnnTkmXUoS59SL8zszWYQs2nx5XMbQODyxOPNcqnBmVj0WniqwSoTDNmksa5ilC5cG8lrKWDTHO47fnxHPHNGY9Y+Jxb3X5Bpg9zsnhVkdMasc0zUe30gboyYj4TIcwWMfZV8Sz9GtgojV41pelO1pJa1Zue3RO+vgbNChZkMhH52MF2klr90Qz8ug146sszLEtkBmvaNjspsLi7Nv0CuwoRgRbsmmTabgaPsDiOz0JRJJmcRmpcJH+sWYH7ifkJ2+RCIpm0hNX1KWUHQ6KDqdxpGHO/twhxvTdSELGAN81HLesMfcuYjH0uGOV9xKh0s6VYa1Vcv7xi5Vyy7lxXkoXcTh0blEq2XuaKXotLIFjxFTkKTDpZHsK+IanL1FGGMLazff38gcsiyZQlZx9hRSUt6kOlxm4hZCyXv2q2XfRnXVMo+PpGdSD4+fwyUnjczEniNPjcmdqwCtI5LCrKEsaSJukGsF8Sws6eJazcxqyX5v7NKTKcuCrAwLclg45CwzkwHZrcnK0d4nDy/Rxgvx4vp8s4UMac4R5z1/g2CS1ju3RCZRkUgkZRJ75qzCluIyf/58REZGwsXFBQ0aNMDff/9d4L4bN26Eoij5lqNHj5bksm6JHOlLJJIySWmP9L///nsMHz4c8+fPR7NmzfDZZ5+hQ4cOOHLkCMLCwgo87tixY/DyEhPugYGBBe5bGshOv4ySsmcvnJ1doPcTPzCe4UnRi0/8rDghO9hqNVDLOdeva0/KZAweHpnH0tE4XjErHS7p1H23n1o+NH2lw/Nzkv/ZoZb1gcGabTwTFpc6rNk8rg6Lc8OyayGB/dHzuETsPuVcF45JlCOO1fvykMniOvPWbcsQ0o2hXJBavrZ5mziXXwCrW0hqaXvEdTsHC6c5hbWPmHWRnnUsvA15r0ljxcUygGUnnHPYDkXP4/DkyoWZpgAATWHKtiE704q0VCGPpZqEwOArfNCQ1wFWz2LsuLIsWvXbimd8+UvRJl83C7K1xluFQlZbvgxiebcXhw8//BADBgzAwIEDAeQmTfrtt9+wYMECzJgxo8DjypUrBx8fn2LVVRKkvCORSMomNtutFwCpqamaxWQy5TuV2WzGnj170LZtW836tm3bYtu2bfn259SrVw8hISFo1aoV/vrrr9K7vgKQnb5EIimb3Ay4VtBit94JDQ2Ft7e3ujgatV+9ehVWqxVBQUGa9UFBQbh48WK+/QEgJCQEn3/+OVasWIGVK1eiSpUqaNWqFTZv3lz618qQ8k4ZxSU0DM5GN7gECemAJwu3pAnZwaOBiJejZ1mZ8mal4tY8POOVNjwyk0aYxQm30uGSTs03u6rlfW+K2C/c0sjo31gt5w2Hy+PeGHyE1JN9WUhTPKwwT5/H28otWsw3hLWKwc9HrGeOUy6BIhsXj6OT2yZmCcTOy52n/B6OFU1iFlb8Gbk92lwce0Vcj5ObsNLh1kHcYkfjqAXANUT8Dnh93HlM71FNXBOzEOL3yR6/yT0kd7tOp0DnpKBSVXEPjp5m2ck8xPV7Z2q1meuXxH5W9lyvMksei0U8L293HQyWYiRGt91C3rk50k9ISNBo7kajsaBD8llqEVG+dXaqVKmCKlWqqP+PjY1FQkICPvjgAzz66KNFuobb4a6O9C9fvoyXXnoJYWFhMBqNCA4ORrt27bB9+/a72YwS06JFC3Wm3WAwoHLlyhg3bpzDzz6JRPLfhGy2Wy4A4OXlpVkcdfoBAQFwcnLKN6q/fPlyvtF/YTRt2hQnTpwo2YXdgrs60u/WrRtycnKwbNkyVKpUCZcuXcIff/yB63knBItBTk4OnJ2db71jKZ970KBBePvtt2E2m7Fr1y688MILAFDohI1EIvkPUYrOWQaDAQ0aNMCGDRvw1FNPqes3bNiAzp07F/k8e/fuRUhIyK13LAF3rdNPTk7Gli1bsHHjRjRvnvtZGh4ejsaNG2v2S0lJwahRo7B69WpkZ2ejYcOGmD17NurUqQMAmDx5MlavXo1XX30V77zzDs6ePYsFCxbg7bffRkJCAnTMOefJJ5+Er68vli1bBgD4+eefMXnyZBw+fBjly5dH3759MX78eOhvZkVSFAULFizAr7/+it9//x0jR47ElClTHF6Pm5sbgoNzrQjCwsLwzTffYP369WqnbzKZMGrUKHz33XdITU1Vr6NRo0bqOTZt2oRRo0Zh//798PPzQ9++ffHOO++o7WnRogVq1aoFJycnLFu2DAaDAVOnTkXv3r0xbNgw/PjjjyhXrhzmzZuHDh06FOt5WLOyobPqcGMb+8qysU9dm/jUNunYz4TFI9F5+hR4fp7EnIf95eGReSwd7njFrXS4pFN3+vNqedfTb4j93YTUo+i1mbMoTVjXwIU5ZHmKWDC29WLyLNtfOH05R1ZXy9bUZFEHC9dM2dqk53ZM8WfE/kZX7UZ2D+n8cbWsr9JQLafv3+vweGLWRRmpLLRyeZbE/YKo2zmiqlo2BomsZ1knhXUVAOSkMLmnAPt0Yr+PzFNCenHyFPffZspdn2nxB9AYVgvBkkPIMYljrwvlED4eomPNzuOcdeO6uFYeYyc7Xfw2y1cUcmPipVRkFyNIGlnpFtY7xTPZHDFiBPr06YOGDRsiNjYWn3/+OeLj4zF48GAAwLhx43D+/Hl8+eWXAHKteyIiIlCjRg2YzWZ89dVXWLFiBVasWFGseovLXZN3PDw84OHhgdWrVxcogxAROnXqhIsXL2Lt2rXYs2cP6tevj1atWmm+Bk6ePIkffvgBK1aswL59+9C9e3dcvXpVM/N948YN/Pbbb+jduzcA4LfffsNzzz2HV199FUeOHMFnn32GpUuXYtq0aZo2vPXWW+jcuTMOHjyI/v37F+na9u/fj61bt2q+CkaPHo0VK1Zg2bJl+PfffxEVFYV27dqp13H+/Hl07NgRjRo1wv79+7FgwQIsWrQI77zzjubcy5YtQ0BAAHbu3IlXXnkFL7/8Mp5++mk89NBD+Pfff9GuXTv06dMHmZmZcITJZMpnfSCRSIou7xSVHj16YM6cOXj77bdRt25dbN68GWvXrkV4eDgAICkpCfHx8er+ZrMZI0eORO3atfHII49gy5YtWLNmDbp27VpQFaXCXev09Xo9li5dimXLlsHHxwfNmjXDm2++iQMHDqj7/PXXXzh48CD+97//oWHDhoiOjsYHH3wAHx8f/Pjjj+p+ZrMZy5cvR7169VC7dm34+/ujffv2+Oabb9R9/ve//8HPzw+tWrUCAEybNg1jx45F3759UalSJbRp0wZTp07FZ599pmlnr1690L9/f1SqVEl9WI6YP38+PDw8YDQaUbduXVy5cgWjRo0CAGRkZGDBggV4//330aFDB1SvXh1ffPEFXF1dsWjRIvX40NBQzJs3D1WrVkWXLl0wZcoUzJo1Czb2Y6tTpw4mTJiA6OhojBs3Dq6urggICMCgQYMQHR2NSZMm4dq1a5r7yJkxY4bG8iA0NNThfhJJWcNup1/YUlyGDBmCs2fPwmQyYc+ePZoJ2aVLl2Ljxo3q/0ePHo2TJ08iKysL169fx99//42OHTs6OGvpctc1/U6dOuHvv//G9u3bsW7dOsycORMLFy5Ev379sGfPHqSnp8Pf319zXFZWFk6dOqX+Pzw8PJ/XWu/evfHiiy9i/vz5MBqN+Prrr9GzZ0843UxivWfPHuzatUszsrdarcjOzkZmZibcblo8NGzYEEWhd+/eGD9+PFJTU/Hee+/By8sL3bp1AwCcOnUKOTk5aNasmbq/s7MzGjdujLi4OABAXFwcYmNjNTP7zZo1Q3p6OhITE1UPvtq1a6vbnZyc4O/vj1q1aqnr7JNEly87Do07btw4jBgxQv1/amoqQkNDYfD3hbPRHUZmvVMQeuZExePL5NU8LRlC6tDEtmFWPjzjFQ+PzGPpcLiVDpd0Gv1vllo+8bn4wuPWKoDWYiXloJA03CtHqGV9rJDcXDK5ZY1otzmZZe1ibeJJ2fn+PJxy3hhF/L5Z0sWz5BZCTrWqwBE8Do/NJByvdEYha5m8fdSyW0XhyMQ9TN2r19Scl1vg8P34/eOhn/nz5fc8+3KuTGcIzLV20TsrcDYo8ApgzlxMxXFjso2/p7aT5fsFBDOrMb3YcP2qaJO/txOycoohycjQyncHFxcXtGnTBm3atMGkSZMwcOBAvPXWW+jXrx9sNhtCQkI0b0M73GPN3d093/YnnngCNpsNa9asQaNGjfD333/jww8/VLfbbDZMmTLF4aeTC/OYdHRuR3h7eyMqKgoA8NVXX6FGjRpYtGgRBgwYoMacL8x8y5Epl6Pj8k4kK4qiWWff11bAp6jRaCzUxEwiKauU1YBr99xOv3r16li9ejUAoH79+rh48SL0ej0iIiKKdR5XV1d07doVX3/9NU6ePImYmBg0aCBCBtSvXx/Hjh1TO+rSxNnZGW+++SbGjRuHZ599FlFRUTAYDNiyZQt69eoFINcSaPfu3Rg+fDiA3OtesWKFpvPftm0bPD09UaFChVJvo0Qi0UK2woOqkU0mRi8R165dw9NPP43+/fujdu3a8PT0xO7duzFz5kzVpKl169aIjY1Fly5d8N5776FKlSq4cOEC1q5diy5dutxSeunduzeeeOIJHD58GM8995xm26RJk/D4448jNDQUTz/9NHQ6HQ4cOICDBw/mmzy9HXr16oU333wT8+fPx8iRI/Hyyy9j1KhR8PPzQ1hYGGbOnInMzEwMGDAAQK72N2fOHLzyyisYNmwYjh07hrfeegsjRozQWCDdKSwZmVByCs6+pBnluGljxzjcB1rZQ3ESUoVWAhHrecYrHh6Zx9LhjlfcSodLOtEvtlTLR+f+pmkTz1LlEVNJLXOnI9N1ltCcZ6Bi7Xb2ZGGWmYzFpS/uOMUlHb4/ACh6cc8LOi8PQc3PpXEYYxIS15/N506qZdfywkac3wv+rAHts9Ts5yyckrKThITo7BGhljMvCNt0XZ6vyuTrZty4bEKFysI5y1dcMrJZyOW8FpJhlcRX97VL4n5UiBLn4h/Ll69bkZ03gE9h2EjjjOdw+wPIXev0PTw80KRJE8yePVvVvENDQzFo0CC8+eabAHKlirVr12L8+PHo378/rly5guDgYDz66KNFcnB47LHH4Ofnh2PHjqkjbDvt2rXDL7/8grfffhszZ86Es7MzqlatqgZHKikGgwHDhg3DzJkzMXjwYLz77ruw2Wzo06cP0tLS0LBhQ/z222/w9c3VtCtUqIC1a9di1KhRqFOnDvz8/DBgwABMmDChVNojkUgK51bhk28ntPL9wF3r9I1GI2bMmHFL5yVPT0/MnTsXc+fOdbh98uTJmDx5ssNtTk5OuHDhQoHnbteuHdq1a1fgdiqiM4ajOQcAePPNN9UXGIBCrwMAmjdvjp07dxarnrNnz+ZbV9R2SyQSAZENVMhkbWHb7mfuuaYvuTc4e3nA2egOK4tNwzM68dg55mR+HJvozvOyST14RC171a6hljWWIWz0xJOY84xXPDyyJqMTc7ziFiNc0qn6qvalfnzB72rZnrQb0MbbcWJSFI+fowk17SQ0CT2TZ6w8No1bHiesm3C5BACcWPwiMHlHI7W5C/lFIyexZ8StaTRZy2rVU8s8Jg/PqMXPAwDZl66KbSw7F5e79J5ivY09R3499t+TPcx0YLAL3KxuuH5R/M6ymYWNE5Oo0rLy/J5uiOvLZtmyMlPFPb90ReyTlKrAbC1GYnQp70gkEknZIdcWvzB5R470JRKJ5MFB2ulLJBJJ2UFO5ErKJFzb5hoxjxOfkyJMGrMuCLM9HjMeANwqiaBfXJ+2EUuR6OJYk9YZmBkjS3HI4+Hz4GncU5Rr5lzDB4CYl1ur5ZMLN6plbl7JvYTdKjq2EtO0lc1ROOlEmceh5/MdRn9xfgDQGXl6QTGa5CaiRvZceDmbzUvweQ3XkEC2nnn2hohnxM0ysy9pI9vye5CTKrx+FT2ro7wI2MbNRUHimdrrtuv8TnoFTs4KvP2FKaeRedRaWZuYNW/uaZmkrtc71urLB4vzXr6RhWxL0XV4osLj68iJXIlEInmQkPKORCKRlB3IagXppLwjKSPYzBbYlByNTMLNFQ3MW9bgJ8rZl66xsjDzAwAbi/VeEE7MBJObDXJJgUsePMUhj4fPg6dxT1tulgloJZ2ogS3U8sEpP4j6eJz4RHFNPM0jlzk0qQYVlo6Qe7ky+cOaN5Q428alqZxkITlxiUbHJC5rtjiXJv0jey5cTtJcW4LIX+DkqjXZzOs1rLaJSU62HNEJck9i7jFsT0Np8crtWnJMNpizbfD0FzIYN9m8kiza5++l1XecmKSTnS32i24qJKt//hLPy0mXuxQZlvy8wO0PILLTl0gkZROiW8g70k5fIpFIHhikvCMpk3CPV26xw+HestyrU2PBAa1FDJc9eDA1Pnrikg739LVmM+/Ny8LKhKc45PHwefA0bo2Ut01c0qn11jNq+di89WrZI0JEOM3h0ksBbeVSj9GPSVGMfNIJt1hh5+IyiZ55uVoK8JrmQdO4pMNlN2M5P7E/C8md9z5xyyOF9Qq8Dm7BxGUjHhzO/puw/5uRbkFqSg6uJ4lryGJpEd1ZfLaMbO2o281DNIQHbEs4JO65t7fY52iCBabi9NNS3pFIJJIyhNUC6CyFb38AkZ2+RCIpk8iAa5Iyhd7DFc4ubprAajxwFv/c51YlXN7J+zdhM4vPf707cwpiVh/cCkaTUpHJCDq9YxnCtl7E0OcpDjXx8J20FiDc6YhLElzSqTKsrVo+uWiTOBeTW7hMZGEpFXn7Uo+dUctuFULE/qnpmjZxiculnGgfT8lYUG4D7vSmgUltBs01MynJR7Q1rzSnic3PjtE4pbG6eRA9k8ZhzOnm+XKfs1+gES4WFySeynMPbhIVLu7xmUStlZO7l7gHx/eJOlxcxTPOzBK/LX9PILs4g3Oiwidr5USuRCKRPEDYLIVLODYp70gkEsmDg41uMZErR/qSBwhLWiYUs1bG0XuIz+bsU6fVsk/9OmrZzJ2o8jhjaWLmZAhrDS4FcNnCmVn1ZF8RFhkaJy8eL8Y/Wi27MImFO0VxBzNAG0uHO15xKx0u6UQNaK6WeUpGl0BhBcPvAcfgx2LsMLmEW9DktlFcq8Z6ijlbcac5XuZSFo+9wy2E+P3mlk1cvuP1AgU7XnFnMEVxYuuF7MPTP1pvSlTW7Fwro6TELCSfzUDNRuLe/L5TWEVduiLal5NnYH35PMsjwGRB3k+7MannxBWCuVjWOxbA5lT49gcQ2elLJJKyiTTZlEgkkjKEDLhWOiiKglWrVqFLly6lfeq7QosWLVC3bl3MmTPnXjclH0uXLsXw4cORnJxc4nPpPd3g7OKu+TTnUo97lRi1nMnCKXO5hH/iA0BW4kW17FVNhFnmUo9GkmDHO3sLSQEJLJ0ekyqcI6urZW5JwuPD8BSHeeGxdLjjFbfS4ZJO9Ist1fK+sUvVslfVKLVs4lY96UL24VY5/PqBPKGWmQykSSvJZC0uX+WwtIh8f25popFqvIRTk1aqyROkhnVwBaVnzIwXsXs8KldUyzwlo8HfJ7de79x6nXQKnJwUxP2bLPZhigoPrRyfrJVa2viI605KEG0qFyhkqpRk8RuKDrQg22IBjqNoWC2AUoi884Da6RcnPBH69esHRVHyLe3bt79T7YOiKFi9evUdO39eVq5cialTp96Rc/fr1+++fRlKJA8c9pF+YcsDSLFH+u3bt8eSJUs064xGYwF73x1ycnLgzFzMS4Kfn9+td5JIJPc/Nmvhk7W2BzP2TrFG+kBuBx8cHKxZfH19C9z//Pnz6NGjB3x9feHv74/OnTvj7Nmzmn0WL16MGjVqwGg0IiQkBMOGDQMAREREAACeeuopKIqi/n/y5MmoW7cuFi9ejEqVKsFoNIKIEB8fj86dO8PDwwNeXl545plncOnSJbUe+3HLly9HREQEvL290bNnT6SlCYuIFi1aYPjw4er/TSYTRo8ejdDQUBiNRkRHR2PRokUAgBs3bqB3794IDAyEq6sroqOj870Qi8OHH36IWrVqwd3dHaGhoRgyZAjS0/M7taxevRoxMTFwcXFBmzZtkJCQUOy6rJnZ+WLCmK/fUJeM4yfUxejnoy6mq8nqYsnI0ix2D0ciG6zZOeqi0+vVJf1kgrronJzUhe8PnaIuirOTulhTk9XFnJymLno3o7oYfL00izXbrC6KXqcuOakZ6pJ14Yq6OBmc1WXf2KXqUvfdfuqSef6SuujdXdXFGOCrLjazRV0yz53XLDaLRV14O7KvJKuLNdOkLubUDHVxCwtRl1yTw9xF0evVhSwWdbGZctRF7+qiLqmHDmsW87Vkdcm+dEVdclLT1YVjupaiLq7BgeqSl8AQF1QId0O7fhHqYveJyuv7FBujaBZztk0sZrFUruerLi4uTuri5a6Dp1sxurQyOtIvdqdfHDIzM9GyZUt4eHhg8+bN2LJlCzw8PNC+fXuYb3pvLliwAEOHDsWLL76IgwcP4v/+7/8QFZWrme7atQsAsGTJEiQlJan/B4CTJ0/ihx9+wIoVK7Bv3z4AQJcuXXD9+nVs2rQJGzZswKlTp9CjRw9Nm06dOoXVq1fjl19+wS+//IJNmzbh3XffLfAann/+eXz33XeYO3cu4uLi8Omnn8LDI1evnDhxIo4cOYJff/0VcXFxWLBgAQICAm77ful0OsydOxeHDh3CsmXL8Oeff2L06NH57um0adOwbNkybN26FampqejZs2eB5zSZTEhNTdUsEokEUGx0y+VBpNjyzi+//KJ2enbGjBmDiRMn5tv3u+++g06nw8KFC6EouRNWS5YsgY+PDzZu3Ii2bdvinXfewRtvvIHXXntNPa5Ro1wX+8DA3JGDj48PgoODNec2m81Yvny5us+GDRtw4MABnDlzBqGhoQCA5cuXo0aNGti1a5d6TpvNhqVLl8LTM9cmuk+fPvjjjz8wbdq0fO0/fvw4fvjhB2zYsAGtW+fmWq1USSTsiI+PR7169dCwYUMA4svkduFfGJGRkZg6dSpefvllzJ8/X12fk5ODefPmoUmTJgCAZcuWoVq1ati5cycaN26c75wzZszAlClTStQuieSBhCyArZBxLz2YE7nF7vRbtmyJBQsWaNYVpIPv2bMHJ0+eVDtYO9nZ2Th16hQuX76MCxcuoFWrVsVtBsLDw9UOHwDi4uIQGhqqdvgAUL16dfj4+CAuLk7t9CMiIjTtCQkJweXLwjqFs2/fPjg5OaF58+YOt7/88svo1q0b/v33X7Rt2xZdunTBQw89VOxrsfPXX39h+vTpOHLkCFJTU2GxWJCdnY2MjAy4u+fGqdHr9epLBgCqVq2qXqOjTn/cuHEYMWKE+v/U1FSEhoZCcdJBcXLSOO/weDHWQPHFkplwQS0bg8Q9zxtvnDsnabaxeDjc6oNb0Ghi7zALHPMN5ozEkqob/YUljsbaRK/9SfMk5jwMMo/7w2PpcMcrbqVzaNoKtVxzfDe1fHTub2pZ4xRlEvfVtaJ2wMLr5hoHd5hycmNxfwpwyOJYM8W95JnH7FY0AGBlz9qjWlXN8TyDl+becCsnN2E1w62+TMzZzCXIT3OOi4lZuHE2A+fPnVX38WWXn21mo+k07e/pfIKoOz1DbIs/LOpTWAihlHQbsi3FkGTugMnm/Pnz8f777yMpKQk1atTAnDlz8MgjjxS4/6ZNmzBixAgcPnwY5cuXx+jRozF48OBi11scit3pu7u7q/LLrbDZbGjQoAG+/vrrfNsCAwOh092+umTvBO0Qkfo1Udj6vBO+iqLAVoAThmuelHJ56dChA86dO4c1a9bg999/R6tWrTB06FB88MEHRb0MlXPnzqFjx44YPHgwpk6dCj8/P2zZsgUDBgxATo7W89XRdTpaB+TOwdzriXaJ5L+IYrPkN13Ns704fP/99xg+fDjmz5+PZs2a4bPPPkOHDh1w5MgRhIWF5dv/zJkz6NixIwYNGoSvvvoKW7duxZAhQxAYGIhu3bo5qKF0uKOafv369XHixAmUK1cOUVFRmsXb2xuenp6IiIjAH3/8UeA5nJ2dYS1CBpvq1asjPj5eM6l55MgRpKSkoFq1arfV/lq1asFms2HTpk0F7hMYGIh+/frhq6++wpw5c/D555/fVl27d++GxWLBrFmz0LRpU8TExODChQv59rNYLNi9e7f6/2PHjiE5ORlVq1bNt69EIimEUp7I/fDDDzFgwAAMHDgQ1apVw5w5cxAaGppPGbHz6aefIiwsDHPmzEG1atUwcOBA9O/f/7YGjcWh2CN9k8mEixcvatbp9XqHE5i9e/fG+++/j86dO+Ptt99GxYoVER8fj5UrV2LUqFGoWLEiJk+ejMGDB6NcuXLo0KED0tLSsHXrVrzyyisAoL4UmjVrBqPRWKClUOvWrVG7dm307t0bc+bMgcViwZAhQ9C8eXONHFIcIiIi0LdvX/Tv3x9z585FnTp1cO7cOVy+fBnPPPMMJk2ahAYNGqBGjRowmUz45ZdfbvmCSUlJUSee7fj5+aFy5cqwWCz4+OOP8cQTT2Dr1q349NNP8x3v7OyMV155BXPnzoWzszOGDRuGpk2bOpR2CsOaZYLO5gQd+wowXRNhlvUewlmKSzr8DyFveF6eLYtLJpo/HrYPD8VsvOnUAwA510WSb57Ni7KFjMMdsvRMduASBgA46ZgDE6ubSz15s0ip+zDHKyOLvcMlnaqvtlPLJz790+F58jqxadrnIu4/l4Q4irOQx7gDHU+47uQmnhdZxD48bg+XhpIPaj2YeKJ0SwYbC7IvSC4baWIDaSS03HtmvnlZer0CZ2cFjdsKp74Tn52DI4wG7e8pNFJ8zV+9KBzcuNUPD7Osd1KgJ8dfvI5QQFBQ8GStfVte4wdHX89msxl79uzB2LFjNevbtm2Lbdu2OTz/9u3b0bZtW826du3aYdGiRaVqhp6XYo/0161bh5CQEM3y8MMPO9zXzc0NmzdvRlhYGLp27Ypq1aqhf//+yMrKgpdX7h9a3759MWfOHMyfPx81atTA448/jhMnTqjnmDVrFjZs2IDQ0FDUq1evwHbZnbh8fX3x6KOPonXr1qhUqRK+//774l6ihgULFqB79+4YMmQIqlatikGDBiEjI1f3NRgMGDduHGrXro1HH30UTk5O+O677wo938aNG1GvXj3NMmnSJNStWxcffvgh3nvvPdSsWRNff/01ZsyYke94Nzc3jBkzBr169UJsbCxcXV1vWadEIsmPYrPmSjwFLrkKQ2hoKLy9vdXF0d/l1atXYbVaERQUpFkfFBSUb5Bs5+LFiw73t1gsuHr1qsNjSgOF6AHNFCBxSGpqKry9vfHU0G/gbHTTjPQtacIWm4/0+Qi50E/egvTRYo70Uw4cVsvuUZXVcvqhQ2rZo2ZN0VY3x8lfAO0o1Jwsrs/K8s4WNNIvKBwBH7kXZaTPc9zmbVNBI33NpHAB8iafZOX3lY/0eTiIoo70eTRODh/p84l0/jVgDzkRUd4LM4Y9hD8nvYTkcyc0I/2vChjpe3tofz+164o6+Eg/JEz8Nm9cEV87B49kINtiwcQtO5GSkqIOLPNi/xvoVKMbnJ0KHk3nWHOw5vAKJCQkaM7laKR/4cIFVKhQAdu2bUNsbKy6ftq0aVi+fDmOHj2a7/wxMTF44YUXMG7cOHXd1q1b8fDDDyMpKSmfxWJpIQOulVHMySkggxkGXx91Hc+KxZ1xePaprAvC2c09XIQnBoDUI6Ij0XuIcxm4dJMiLFF4fZZM9vnOJq7zhkq2w2Pv8KxWejft5Dt/CfAYNjyJOc94xS2QeCwdbUctyryjjx78mFjPYvjwUMUAYGWde76k6TdRLAVILCyuDu+EiU06cusn/oLisXOMgVo5NuuMuAd6ZnrMX8y8Pt5uxang+DUeXs6ArwHxR8QzuszUkqgQcZ1HE7Xjz5Ag8ZuIqMIzton9blwX7asY7IzMnGLIO2SDUsggxr7Ny8urwBeInYCAADg5OeUb1V++fDnfaN5OcHCww/31ej38/f0dHlMa3NGJXIlEIvmvopD1lktRMRgMaNCgATZs2KBZv2HDhgLNuGNjY/Ptv379ejRs2PCO6fmA7PQlEklZpZStd0aMGIGFCxdi8eLFiIuLw+uvv474+HjV7n7cuHF4/vnn1f0HDx6Mc+fOYcSIEYiLi8PixYuxaNEijBw5slQvMy9S3imjOLm6wMngqtVvmYzAP9m5RKCRP/JIEwobnfBsUZrsTUx+0STt9hTr9b7iWJdA8ZlrihcSBLcc4qGR88GnrPJaG92EO6XxfbgebjML+aQgK5uCwjLvH/+VZj/3yIpwhI45PHEJKfPCFbXMk7srzM8lJ0VoJvx6+Dm5k1heJy9LYDm1zEMwcxmNO2TxOQ6O/bdi/ylZLTZYLDZ4+LA5EZu4xzkW8XxcnbXyTsVKwnrndJy4vmoNxHPhx6elW5FlKbptvY6s0FHB415dMUb6ANCjRw9cu3YNb7/9NpKSklCzZk2sXbsW4eHhAICkpCTEx8er+0dGRmLt2rV4/fXX8cknn6B8+fKYO3fuHbXRB2SnL5FIyix0cylse/EYMmQIhgwZ4nDb0qVL861r3rw5/v3332LXUxJkpy+RSMokRbXTf9CQnX4ZxdnTA85GN41Ew2OumC4KSw+9t49a5qZ9LnkSfnOrEc15PVgsF2a+yCUaHkbCyUVITgYfETtGMXKzQmZqyurSmDFCm6WKOzNpjuGWSuyaeMarzHPn1TKXSbj0xa10uKRTZ9pzmjYdfu8ntexWQTi+Xftrs1r2fbiZWuYmpdzKiTtI8WeXsu+gOH9lYfLKpRou4QBaGS395Gm17MniD3ErKS4bZbPMWXZTX7t85O7lDMXXgCP/Csc/b1chUaVmiOeenUeZyUhlVk5MxikXIa7Vbbc4r5urEzLNRZ+mLG15535BdvoSiaRMoqDw0XzRjT/vL2SnL5FIyiQ6skFXiIVOYdvuZ2SnL5FIyiQKbFBQiHNWIdvuZ2SnX0axZGRCyQH0nkIzz2Gx5N0ri2QxXP/l+nJes7+CvFl5EDRuisj1d22YA6FbW7IKCNzGTDG5KWHeEAI6pntrTDZ5ViR2LjOLDc/nA1xChEmjJh4+g3vacrNMruEDQI0xndXy6S+3qmWPOiK2lMFLzA/kpDn22uW6etZFYdbpWUME/eM6PjfJteUJTKf3EPfNvXKE2I95NPOQHYpex8qiDvu8hj00BhHBZiN4eornkGMVzzTQW5zHWa/tZPnjDqkgfh++FUU5M0vo7sfOmWGyFicccuETubdjvXM/IDt9iURSJtEpBJ1ScMde2Lb7GdnpSySSMok02ZSUKQy+XnA2umuiPOpY3PbsSyK0qzHAcTrMvB65PDgXN+fkaQC53MIlBi4V2TKENMTbROdFQDdLei21rAlolie4mSZIWAEpAbnnLW8rl4NsqUw2YHIQv38FBU/jZpmAVtKp9LwwzeQevSYWEVTHvKO5mSYPkOtWUQT1sqSz4HVMxuL3Mq8XMzc95dfEnwu/lzYW+I1H3LSfx2rOlfFyTDaYs20ILC/ko/R/xHPw8RZtup5WsIaecE4cc+Qvx+lNa1Y2IjPHCSiir5MONugK0e0L23Y/Izt9iURSJlFQuFmmNNmUSCSSBwhFISiF6PaFbbufkZ1+GSX95Gk4O7uCzCaH2539hbUKlwiyL4lUhnnjqOekCMsXLhGYb/DUhPmlAABI3rNf7FNOSBU8raG+ikh7yVMIcllFY60CbVrFnGThUcrlDXOyiPFv8BFx2zWJTJgVC5eACgq+xi1ruKctoLXSKShI29lv/1HLPHm3Ndlx6sVsdg1c7so4kyjazSxbjOW0khO3WuLWU9zLmpe57KPxGL75LKxZuTKU1UqwWGyaJCjOOvF7unZDtCkrz6Xl5Ij7HBoursknWEhFWdliH6uzAlNO0SUZJxCcCtHtC9t2PyM7fYlEUiaRI32JRCIpQ+hQeEKRBzXZiOz07yCTJ0/GggULcPnyZaxatQpdunTJt2716tVITk7G6tWr72rbDP4BcDa4aRyQiBxburgECkkmkwUtcwnUWvVYMxw7W+lYmkIeQC0jXpzLt1FdtXxt8za17PewyDeavn+vWnaqVUXUyxy4dO7ajENGjTOZkIT0zImLt09jHcNkLb6/k5vj+P08xSGXhnjwNEDreMWtdLikE/FsU7V8eukWh/VxmYnLUqZryWrZjaW0LCjFJAA4+4j75O4t4vFzhzMTC6zmHlZe7MMtf246cDndlIKys6zIzLAiLEo8d6cdwjorOZ3lB8gzc+rqJp6XwUWUrzBLHj8f8by2H8oulnOWTkfQ6Qqx039A04ffs5dZv3790KVLl3zrN27cCEVRkJycfNfbVBSysrLw1ltvoUqVKjAajQgICED37t1x+PBhzX5xcXGYMmUKPvvsMyQlJaFDhw4O13300UcO42xLJJI7iw50y+VBRI70i4HJZELr1q0RHx+PWbNmoUmTJrh06RJmzJiBJk2a4Pfff0fTprkjtFOnTgEAOnfurIYNdrTOaCwk65NEIrlj6HSAUyHD3kI+Au5r7gvZasWKFahRowaMRiMiIiIwa9YszfaIiAi88847eP755+Hh4YHw8HD89NNPuHLlCjp37gwPDw/UqlULu3fv1hy3bds2PProo3B1dUVoaCheffVVZDDHoLzMmTMH27dvxy+//IJnnnkG4eHhaNy4MVasWIFq1aphwIABICJMnjwZTzzxBABAp9NBURSH64D8Xzw2mw3vvfceoqKiYDQaERYWhmnTpqnbz58/jx49esDX1xf+/v7o3Lkzzp49W+x7ajOZYTOZkRGfqC5kI3WxmXPUJSvpmrooTk7qYjXnaBboFHXJScsUS2q6upiupaiLs4e7uphTMtRF7xegLrYci7ooRld14Ti5GtXFkpGlWZxcDOqic3ZSF0tWtrpYs83qojmvwVld+LWZr6epi81qVRcoirpkXriiLnnJSctSF52Tk7ooik5dTi/doi6V+j2sLvx6ctIz1IWsVnWxpKarS0HojAbNwuHPIvvSNXVxcnNTl5zUDLGwZ60zOkNndIZyU0qy2QCblWCz2tSFo3dS1IXdYuiU3HwL9uX0sTR1yUjNURedDupSOViHyKCid2lKEZYHkf98p79nzx4888wz6NmzJw4ePIjJkydj4sSJ+SSR2bNno1mzZti7dy86deqEPn364Pnnn8dzzz2Hf//9F1FRUXj++edVL8aDBw+iXbt26Nq1Kw4cOIDvv/8eW7ZswbBhwwpsyzfffIM2bdqgTp06mvU6nQ6vv/46jhw5gv3792PkyJFYsmQJgNy8mElJSQ7XOWLcuHF47733MHHiRBw5cgTffPMNgoJyTRgzMzPRsmVLeHh4YPPmzdiyZQs8PDzQvn17mM2OTflMJhNSU1M1i0QiEbF3ClseRO6pvPPLL7/Aw8NDs85q1War+fDDD9GqVStMnDgRABATE4MjR47g/fffR79+/dT9OnbsiJdeegkAMGnSJCxYsACNGjXC008/DQAYM2YMYmNjcenSJQQHB+P9999Hr169MHz4cABAdHQ05s6di+bNm2PBggVwcdFGawSA48ePo2XLlvnWA0C1atXUferWrQsfHx8AQHCwyLLkaB0nLS0NH330EebNm4e+ffsCACpXroyHH34YAPDdd99Bp9Nh4cKF6pfCkiVL4OPjg40bN6Jt27b5zjljxgxMmTLFYX0SSVnG6RbyjtOD2eff206/ZcuWWLBggWbdjh078NxzIr1cXFwcOnfurNmnWbNmmDNnDqxWK5xuWmTUrl1b3W4fGdeqVSvfusuXLyM4OBh79uzByZMn8fXXX6v75IaBteHMmTNqJ15U7F8QSl4ThGIQFxcHk8mEVq1aOdxub7Onp6dmfXZ2tjpfkJdx48ZhxIgR6v9TU1MRGhoKa0Y6dGYrdK7MkuSKcLxy9hbWHDw2TcrBY2rZmqVth96dhQNOEV8Uzl7aF7ta3/VkcSxLqagzcMcucR6yCEsSc4qQ4bilDLcaAoDsq6IOHiJaY13ErFpM14WTUw5zKnMLExYtmjhB3GmLxaMhG7OEYikO88KthQpyvOLWO5X6PayWj3zws1pOPx0vzpMiUggq7NoszHmOh08GtBZMGmsodryTQWsZZYesBTtEubk7weqlh1eAeKYsijMsVtGzerlp/3YSzohnnJou7m2d1sJ578dPHP/ui4JdjSts+4PIPe303d3dERUVpVmXmJio+T8R5etIyYEplbOz+EHa93e0znbzj9Fms+Gll17Cq6++mu9cYWFhDttr/8pwxNGjRwHkfjHcLq6uroVut9lsaNCggeZFZScwMNDBEbkTxXKyWCLJjxzp/0epXr06tmzR2ilv27YNMTEx6ij/dqhfvz4OHz6c76VTGD179sT48eOxf/9+ja5vs9kwe/ZsVK9ePZ/eXxyio6Ph6uqKP/74AwMHDnTY5u+//x7lypWDl5eXgzNIJJKiYp8wLmz7g8h/vtN/44030KhRI0ydOhU9evTA9u3bMW/ePMyfP79E5x0zZgyaNm2KoUOHYtCgQXB3d0dcXBw2bNiAjz/+2OExr7/+On766Sc88cQTGpPN6dOnIy4uDr///nuJ5B0XFxeMGTMGo0ePhsFgQLNmzXDlyhUcPnwYAwYMQO/evfH++++jc+fOePvtt1GxYkXEx8dj5cqVGDVqFCpWrHjrSm7iGloRzkY3jQOSNtSxeKGabwjJwyMqQi3zTFsAQGw+hks6PPRu1kUhIXHpwMBCHaft2aGW3R5trpYzUsWxNpOQQhT215nXAkcTI4Y5MOkKkCr4/prYOwXE2LEyZzUucyg6dh6jti4el8fRVyugdbzKvirkGi7pVB/5hFo+NH2lWtazeTJ+j529Q9Vy3sxZfD/+HI0BQtrjEpJndIQ4lklcppttzTHmtt9g1MHF1QmX44VDldkirplnzkrJ0N4LV1fxG4yMFteUlSraXqGC0IrOnsuCnor+96fDLTr9Ip/p/uI/3+nXr18fP/zwAyZNmoSpU6ciJCQEb7/9tmYS93aoXbs2Nm3ahPHjx+ORRx4BEaFy5cro0aNHgce4uLjgzz//xIwZM/Dmm2/i3Llz8PT0RMuWLfHPP/+gZs2aJWoTAEycOBF6vR6TJk3ChQsXEBISgsGDBwMA3NzcsHnzZowZMwZdu3ZFWloaKlSogFatWsmRv0RSTG5pp/+A9vr3rNMvyAu1RYsW+UY/3bp1Q7du3Qo8lyM79bzniIiIyLeuUaNGWL9+fdEafBM3NzdMnToVU6dOLXS/Ll265KvP0bq890Gn02H8+PEYP368w/MGBwdj2bJlxWqzRCLJj5zIlZQpspMuwWpwhY5NHhsD/dVyTgoLN8zi15iY1MATYgNA5qmTatklLEItc0sZTaYuJrHk8KxWwUKG4PFenMpHimOZQxGXVXgYZwBwDRET3DwsNI85xL/xNdmvCki+bs0UbXVyExZLZBMyh9Z6SZtInScx5xmvsgsI8WzQizKXWLikU/PNrmr54NT/qWUdu/fmq+JeOrMQ14BWFuP3gFsn8QxqPOQ1WcQ+zt65bdV75N4Xu3NVcKS4B6mmZLXsmiXusaertpf1Lyd+K5npoo74w+LeXkwS8lpmlg3ZlqKHVtbrcpfCtj+IyE5fIpGUSeRIXyKRSMoQOkWBrpCevbBt9zOy0y+j6IxG6AwuALPesWaKz3oeJtnm7th/gEsYAKD3EZ//TiwUscaBiVmG5KSwbEreQsJQWIYmLp9YL5xRyyZvH7VsPidkJfdaIisVoLVC4pIOT/xuYBYq2mxZzNnKwq/B5nA9zyzlVkE4c6XsO6hpk2cN4fjHk5jzjFc8PDKPocMdr7iVDpd0ak18Wi1zCYjfC9MlbXJxg794dlzOK0g684wSElzGORFSxG4FZJfDdDoFTk4Kzh1hcheLZOZmFB1rxRBtDCCfQCHvXGCOWgEVxO8x6x9xPzzcdHDKKbom4+SUuxS4/QG1039AVSuJRCIpnLwB3hwtd4obN26gT58+8Pb2hre3N/r06XPLcPL9+vWDoiiaxR7VtzjIkb5EIimT2DvOwrbfKXr16oXExESsW7cOAPDiiy+iT58++Pnnnws9rn379mrgRgAwGAyF7O0Y2emXUbyqVoLBRWtVYmNSBc+KZWWOPMYAH7Wc1zmLo41tw5OYs6TbBcgIxCKGcmcp54iqatmtogha51qeJVJn1j4A4BQiLJJ4PBxjOT+23rGDGncw485Zzt4sCxSPncMsYLgDllvlypo2aRyhWN08iTnPeMXbwWPp8PNwK52CrHrOfbcTBcKGtfy58kxk3KKLt9s1WFhIKTdNXnQ3/01PzUHadTMMRvEcXZ3FsWnMWGrbIWGJAwAVwsX9PHVayI1hVYQUmJohJLhraYApT8DGwtDdQt65U/H04+LisG7dOvzzzz9o0qQJAOCLL75AbGwsjh07hipVqhR4rNFoLDBgY1GR8o5EIimTFFXeyRua3GQyFX7iW7B9+3Z4e3urHT4ANG3aFN7e3ti2bVshR+ZmFixXrhxiYmIwaNAgXL58udD9HSE7fYlEUiZxUhQ46QpZbso7oaGhqvbu7e2NGTNmlKjeixcvoly5cvnWlytXDhcvXizwuA4dOuDrr7/Gn3/+iVmzZmHXrl147LHHiv0SkvJOGSeHOeJowugyKxbuRcxlGO5oBWg1UL5fDpM99CypOHfwsTvzAICehZTg8okxSPyhcHmBJ3HnVkB598tM4FYm4rw8KTi3OtKEYubrNTGKxLgpM16c35XJT/y+5h6ksG1CXyCW1DvfMTfh4ZF5LB3ueMWtdLikE96zsVrOm2xdYZ5I3JnMmsnugaeQmZw9hJyUkSBGm/b7YfHIbYOzsw4Gow6u7sy5zcZ+J+y3ZXDSaug+LBxzWEXHFmS+XuJaM01WKEXPiw5Fl7sUth0AEhISNGFOCopaO3ny5Fvmrti1a1fuuR3MFziKKMzhIWJq1qyJhg0bIjw8HGvWrEHXrl0LPC4vstOXSCRlkqLa6Xt5eRUpttWwYcPQs2fPQveJiIjAgQMHcOnSpXzbrly5oub9KAohISEIDw/HiRMninwMIDt9iURSRrmlnX7RIzoAAAICAhAQEHDL/WJjY5GSkoKdO3eicePcr68dO3YgJSUFDz30UJHru3btGhISEhASEnLrnRmy0y+j5KSkA9mkkSq44xSP/ZJ65Lha5hILl0Jyjxd/JTxUcoGhj9m3tdYKRlj4cAko66TI2uVeXUQ05TF88mXOusRi97A4Q9wBibePhzRWWPtu7N6rlj2qCSui5IPs3gSKP3gu+3CZCNBaCDm5CqnAWE5YwfCMYTzOEM94pbE0YrF08jpe2SkoAxcAnFy4US1rpLMs8Sz07kziyhLPMfP0WbXsUjHX6shqyr0uTx9n6E1G7PlHPAd2ergYxL0v56vVWq5fFHVb2UF+zDnL10c8+8vXrbAWw+LmXplsVqtWDe3bt8egQYPw2WefAcg12Xz88cc1ljtVq1bFjBkz8NRTTyE9PR2TJ09Gt27dEBISgrNnz+LNN99EQEAAnnrqqWLVLydyJRJJmcQ+0i9suVN8/fXXqFWrFtq2bYu2bduidu3aWL58uWafY8eOIeXmHI6TkxMOHjyIzp07IyYmBn379kVMTAy2b9+eL33qrZAjfYlEUia5l7F3/Pz88NVXXxW6D5/kdnV1xW+//VYqdctOXyKRlE1uEWUTD2a8Ndnpl1WcPFyhd3GFks0CkvkIk7wc5ipJJqGtagJwXU/WnJPHrs9iseu5fu4aJIKbcVM/rqXzwGWuIUInz2HmihqTUqb38kBqgDbdX0Fx4rmmz4OsgUSbnP1EO7iJKJ8nyDojAsJZAsXchwvLUwAAeg9uFiq0cfN1Zo7p49hahM9fcLNOfh4ePI172nKzTK7hA0DUwBZq+cxXwkGIz5Fw803uva3nwe9uJAMALJ65dWVnWZGZbkGAv3hexxLEc0jPFs8u8UaeJEdNWcrOJPEsTuwWQdYSWTz9pFQFZmvRe2onp9xgcAVutz2Yvb7s9CUSSZlExtOXSCSSMoST7hYj/WJ8NdxPyE6/iPTr189hbtoTJ04gKirqnrQnOTkZq1evvq3jrVkmWEmvkQVMbOKIywjO/kK24d6aipNWgtDGrhcmhFx+Md9IhyMUjWeqkFi4DAO2viCPXL2HNohcQUHhFPbL5+fiMe25HERc6mH3wJIhJBN9RIRoKjPTTD95WlM3N7vkXs3cVNXdW9hem1PENVizxHn5feJt5XIav37ebn7NgFbSiXxO2IofX/C7Wjay83J5R9GLZ+cZmWuy6RaUW1f8mUxcO50GJyYzZbPOVM+C1nsatYbxN66Ia83KFtcaVV9Idrt3Javlch6EbEvRbTZ1OgW6QuInF7btfkZ2+sUgb1hTAAgMDCxg74Ixm823FRJVIpGUHmVV3pF2+sXAHtaUL05OTti0aRMaN24Mo9GIkJAQjB07FhY2EmrRogWGDRuGESNGICAgAG3atAEAHDlyBB07doSHhweCgoLQp08fXL0qJiJ//PFH1KpVC66urvD390fr1q2RkZGByZMnY9myZfjpp59UB5ONGzfe7dshkdzX2CdyC1seRORIv4ScP38eHTt2RL9+/fDll1/i6NGjGDRoEFxcXDB58mR1v2XLluHll1/G1q1bQURISkpC8+bNMWjQIHz44YfIysrCmDFj8Mwzz+DPP/9EUlISnn32WcycORNPPfUU0tLS8Pfff4OIMHLkSMTFxSE1NVX98vDz8yughY4xX08FGS2aQGdcnuEWLUoBViJKns9f8w0zHGFgQdC47TH3RrWk8cBvQlriXqcc7sGrc2YB05gsBWgtVnLShAzE5St+TZoga8xyxRgg7i+Xk/hw0MbyAHDLGs+qWvlPYznEPHe51ZKVxe/ncez5ebllkjYlJbOEYvHwufUN97QFtNfKJZ2Yl1ur5ROf/ikOYM+eB7mz1003XWOjqnqgvI8PLpwT9yyLSTCVWbDJU3kcifnvy9tbXEcqk33MOSygnplgKoZLblkd6ctOvxj88ssv8GB5STt06ICYmBiEhoZi3rx5UBQFVatWxYULFzBmzBhMmjQJOl3uH3VUVBRmzpypHjtp0iTUr18f06dPV9ctXrwYoaGhOH78ONLT02GxWNC1a1eEh4cDAGrVqqXu6+rqCpPJdMuECiaTSRN6NTU1tZC9JZKyw73MnHUvkZ1+MWjZsiUWLFig/t/d3R1Dhw5FbGys5gfSrFkzpKenIzExEWFhYQCAhg0bas61Z88e/PXXX5qXiJ1Tp06hbdu2aNWqFWrVqoV27dqhbdu26N69O3x9ffPtXxgzZsy4ZbhXiaQscks7fSnvSNzd3fNZ6jiKgW2XMPh6d/c8qQltNjzxxBN477338tUTEhICJycnbNiwAdu2bcP69evx8ccfY/z48dixYwciIyOL3OZx48ZhxIgR6v9TU1MRGhoKg7cHnI3uGvmDW4OYmBRiSjinlr3q1GHXWbQwhBqJJVVY72RfuqKWXSsIa5VsVp/eo5qoj6U75JJMdpLQBfSe2vvsWl7oB9zxSpPakEkmisLis7P4+BwnN+FcpUnzyMoKS5fIg6cBgI7FY9dIMUze4WkfuUUSl6/ST8erZS4/mW8IJy8uDfF4+Dx4GqCVfriVDpd0ogc/ppa5tY+VSVSma8m59brk/g2cO5WBG2dSERAork2vCAnGzVUca8ljUWTKEs8rm5UTjolrCvQT9/l6umMpsEBuEU//QZ3xfEAv6+5RvXp1bNu2TaNVb9u2DZ6enqhQoUKBx9WvXx+HDx9GREQEoqKiNIv9BaEoCpo1a4YpU6Zg7969MBgMWLVqFYDchMjWIuQDNRqNajzwosYFl0jKAjon5ZbLg4js9EvIkCFDkJCQgFdeeQVHjx7FTz/9hLfeegsjRoxQ9XxHDB06FNevX8ezzz6LnTt34vTp01i/fj369+8Pq9WKHTt2YPr06di9ezfi4+OxcuVKXLlyBdWq5Y587ckYjh07hqtXryInp5ijHImkjFPUHLkPGlLeKSEVKlTA2rVrMWrUKNSpUwd+fn4YMGAAJkyYUOhx5cuXx9atWzFmzBi0a9cOJpMJ4eHhaN++PXQ6Hby8vLB582bMmTMHqampCA8Px6xZs9ChQwcAwKBBg7Bx40Y0bNgQ6enp+Ouvv9CiRYsit1vv5QZnFzfNOh4/XsfliSAhvXCpRskzZuCORjoDS73ILG24g5BbBeHjYEkX1iQ6gzgPt/zJPCX24edx9ohQy7Y8Xz/cAoQ7XnGpiMfx4bKPR+WKapnH9efSDb827iDFrWH4vcw9Xtw3LjlxSx73sPJquSAHM8/oCIft84wSaRQ1jmcsxSGPhw9ona14mfd8BTlwxc1eq5ZdyuXKTAa/3Ofj5eUM+BmQnS3ut5uzuObMLIWt18o77p7ivqWnizZ5sTg+bsySJ9DLimxL0cexCm4xkfuARlyTnX4RWbp0aYHbmjdvjp07dxa4vSAb+ujoaKxcudLhtmrVqmHdunUFnjMwMBDr168vcLtEIimcW0k4D6q8Izt9iURSJtHpcpfCtj+IyE6/jGJPl8glnczzwlqFSwfu4WJCmss2PA4MkCdODoNbqGSzkMuu5Vl6QGZlouiFZMKlFydPEc+HSyGZFy6KffKkcAS5sm0szg1ru+lqMqtbXB+3oHENFm01sRDIvH1KAamWstl58tbBYxTxmDkahzETT2nJrH24QxaTZDLOiefI281DWfMUh4A2PDKPpcMdr7iVDpd0qr3eUS2rKRlvykrKzY61SXvhT7Jpj4hFdClZXE+1UG13lJkuZKCAcuLZRdYRbd25TdzbHCshpxjOWTqnwkfzujuYOeteIjt9iURSJpHOWRKJRFKGkPKOpEyRk5IOGG2a+C1uzEGKW4xwpy1uTZMPHu6YWbJwByGXIJFFissqPBYOWYVUYU4Wzlw2lsEr+7LInsSdnax5YspwySX7spACNLGF2D7WZNFWg7+PuAYWb8clSDhCma45DmvB5Rke3wjQWhHx/fg9c2LXpHfLI1nZ674q7gGXYTTOZtzaiskzLhW1PiT2jFeACI8MaOUku+MVIKx0ACbpAKjU72EAQPDNJuSYbTCZbDj4t3DESzWL9kUFiGe9/6zW2a9CBfGMDhwUv4PWLwjnxCtMHnIpZuBaOZErkUgkZQhFp+QLGph3+4OI7PTLKOEVvGF0cYczy4sLNgnGbbW5TbszG7XmtYkv6HiLpxhJG/xFfdYsx/leM00iH617CLPTt4ivBEOgY89iyuOkxid2LV5sBMxH+uw73potJn6dvfPHRQK0PgJmo8NdNBEa+Qgb0I7crWbmI8DuhxMLycCjnHJyWNIRTbRUNlGsYyN9iwf7ojFpG27PaQuIBCiAiJYJiNAKgLDDB6D5wrOP8ANuVuURnOsz4OIq6g6rJibRg3zY5H+atpP1ChXPopxNfAXBVfghBMeILzujM5BlNgPbdqEo6G6ROetBTaKiEI8fIHngSU1Nhbe3N1JSUmRIBskDR1F+3/Z9Nr7ZHh4uzg73AYD07By0mL7ugftbkSP9MsqOD0fA3cWgGc2EVxOj6n1bhWmlH/OATEkWI+kqtYW5IQBcOMPmAdh6jeldMNOqnVmgriwx4jMx703ePiuLw653FuuTrwtdPDBYq3876cV+OSZx3gzm4ekXKNqUlMh0dVZ3YIg470W2j56d38OLxa63iLrcvbQdCx9n8TZZ2aiaBxhjH1pwc2dfTUam17O28nuWniqelzO7354+2jbx+uLPiPmLqKria+fcKfF8vdg18aBlOebcxnoEh6LBi+Ox4gbhqhWov+wVdZ9U9hvyYF9fmRnaL8c6j4ovvgsnhKbP237432S17ObqhAyT45wOjpDyjqRMkXb+NGwGvWayKidITOreOCNs352zRKeYfJXl1C0v5BYASEsUk5r8+zEtVXSwrjYmnxhEb5GVIfbJzhR//Lx9FpYww9kg1t+4LOQCN6t20tSJvRzM7GWSmiI6HheL6NCTz4qOjX/6u0Oc9wbbx5mdH77i5Whhnb7iq51htPGcwaxN/BjeAdrYy8DKOkkumfAOirc7jb0Q+UtCn0feyWQvwWunxWR2eR8ftXzjDJu09hPXxK1cTCbtZOxVK3DRAqSfP6mu478h8mVRQ1O1fh4WNomfmSR8IwwW0fYbZ0SmuRwPJ2SaHfuKOEJO5ErKFL4BBni4OOM66zB//eG8Wm7QVLwAYpoIS43LbDR/lY14ASCAjYZ5x807mwR2fM2Gog77CBEA0lJFmyqxkSYfFXsFiD/8CpXFPtcvaq13vP3Ffp7si+V6ktgv8ZToXGo2Em2KY6PImi1FiObz586q5cZtg9Ry/BHRKXr4iJfbkX+FlQ0AeHqKji6wvLhnV1nbw6LENdmsjq/7crwYkQdHCo39HGsHv/eu7uLPfc8/WoexAHZv+BcOz3jFwyPzWDrc8cpupWN/IdVf9grSz5/E5tG/qvtEv9ZSLZ86Kc5//qq2w3Z1E85k/AuzKruOK9fF+sRLZmRbitHpy8ToEolEUnZQbhFPv9BY+/cxstOXSCRlEinvSMoUP/5yHUYnPfjvmpsZnlwptFKvX0U5IUXoyOXctZ/S1zLFNjdnpk/niCGTNzMzPBl/SS1nmYVunWoS+x89LSSP6yzCMG+rL5Pxs3O0xmhGNtHKt2XlOP6D/n2nkBsMLPbKP28cFfUxa8UTn4ksX5eZ5G21saTerlqdO8cq5Kv0f0R9zjqWNH6H43DKHmye2mzh9yzZ4XlcWbhi3qY8SapwLEFIddlWsR9PYq7JeMXCI/NYOnbHq7BqJjRB7qRt8lWzRtI58dFfavmRdzuwVmivmc8FubmJh/HXeiH7BPoJqSzxUtEncQE5kSuRSCRlCqdb2Ok7yU5fIpFIHhzkSF9SprDaFFgVBX6e4pOdm1n6Mg9Nvt7ErCN83LUzXR4uQsZIzxYHVfAV5UB/8Tl+7YY4F//78mWOsF7Mi9THg8kLLqLubGb5k3d0ZmU6Bo/T4s4sFqPCxX8uXRHWINa8Gohan+P1USEsATyXXjK0bQr0Fvv5eIvr4/cjOZ1523KzVWa+yc/jmsXujZGZbDIDK+4f4GLQtok/L72TKFcWRkuaJOY84xUPj2yPpWP3tPXw0oN8nTVWOlzS+XussOqp8OKjmjY1bCnCQp8+IEw2H2khTIX/72cR08fFoKA4rqaKopUJHW2/U0ybNg1r1qzBvn37YDAYkJycfMtjiAhTpkzB559/jhs3bqBJkyb45JNPUKNGjWLV/YDOT0skEknh6PQKnApZdPo71+ubzWY8/fTTePnll4t8zMyZM/Hhhx9i3rx52LVrF4KDg9GmTRukpaXd+mCG7PQlEkmZxC7vFLbcKaZMmYLXX38dtWrVKtL+RIQ5c+Zg/Pjx6Nq1K2rWrIlly5YhMzMT33zzTbHqfiDkncmTJ2P16tXYt29fqZ737NmziIyMxN69e1G3bt1SPfftsHHjRrRs2RI3btyAD/OUvB08XWwwOtmQmCx+AhYSP3KDs5AawssLp5y0TPEpfyNda5XC5YbzyeJcep3Y7yJzsjHoHVvTWJg3vncm89Rl+/h7inNqvH+ztN/3zswCx99L/CeDORedSRTWNDz5V3yy2D82hnUAaaKBRiaTHE10bDWTncdfyFkv6r6eJso8VzmXFng2KC83sSElQ6z3dBXrK4aI57XtkLg2A5OJyvlqx3uJN9i5mIXVKWEoA4uNW++IMs94pYZHvhk8LTPDivRUSx7HK2GlwyWd859v1rTp0vwn1PKx48KBrlKOMNeqFSOc4JIumeFUjMToRTXZTE3Vhs82Go0wGguItHeHOHPmDC5evIi2bdtq2tG8eXNs27YNL730UpHPdVdH+v369VOz1Tg7O6NSpUoYOXIkMjIcm6fdD7Ro0QKKouDdd9/Nt61jx45QFAWTJ0+++w2TSCSFUtSRfmhoKLy9vdVlxowZd72tFy/mhkUJCgrSrA8KClK3FZW7Lu+0b98eSUlJOH36NN555x3Mnz8fI0eOdLhvTp4wuf9VQkNDsWTJEs26Cxcu4M8//0RISEgBR0kkknuJPXNWYQsAJCQkICUlRV3GjRvn8HyTJ09WB7UFLbt37y5Rm/OmcCSiYqd1vOudvtFoRHBwMEJDQ9GrVy/07t0bq1evBpB70+rWrYvFixejUqVKMBqNICLEx8ejc+fO8PDwgJeXF5555hlcunQp37k/++wzhIaGws3NDU8//XS+GfElS5agWrVqcHFxQdWqVTF//nzN9p07d6JevXpwcXFBw4YNsXfv3iJd0+OPP45r165h69at6rqlS5eibdu2KFeunGZfs9mM0aNHo0KFCnB3d0eTJk2wceNGdfu5c+fwxBNPwNfXF+7u7qhRowbWrl2rOceePXvQsGFDuLm54aGHHsKxY8eK1E6JRCLQ6RRV4nG43Bzpe3l5aZaCpJ1hw4YhLi6u0KVmzZq31dbg4Nz4RnlH9ZcvX843+r8V91zTd3V11YzoT548iR9++AErVqyA0800dl26dIG7uzs2bdoEi8WCIUOGoEePHprO0n7czz//jNTUVAwYMABDhw7F119/DQD44osv8NZbb2HevHmoV68e9u7di0GDBsHd3R19+/ZFRkYGHn/8cTz22GP46quvcObMGbz22mtFugaDwYDevXtjyZIlaNasGYDcTn/mzJn5pJ0XXngBZ8+exXfffYfy5ctj1apVaN++PQ4ePIjo6GgMHToUZrMZmzdvhru7O44cOQIPD20yj/Hjx2PWrFkIDAzE4MGD0b9/f80Lh2MymWAyCV3Xrk+2bOYDd6Me0fVFgLHEY8IKwIsF4EpnOnxEFIsemWeAYXQTP6fqicJEjwfn8i8n/mB4ZE0elljPom9evyQ8cm+w4Fq87rBKwkU29YbWK5Pr/TzMspuHaCsPfXz5vLBxbMNC+PJomOcTxLWFskBnIUGirRVZmzJStV+spJ0KUcnJERtc3RxH0OQB61xZlE1+X31YqOgK4eJ++LBgbXkD0zVqKs5144r4vfC6TSz8srsnC4nMQmfbUxzaE6DUeTQAluR0TfA07mnLzTK5hg8A64b8rJYbTGzjsG4ejrphYx9kmHKAP1EkSttOPyAgAAEBAbfe8TaIjIxEcHAwNmzYgHr16gHIHUBu2rQJ7733XrHOdU87/Z07d+Kbb75Bq1at1HVmsxnLly9HYGDuj2HDhg04cOAAzpw5g9DQ3Iw5y5cvR40aNbBr1y40atQIAJCdnY1ly5ahYsWKAICPP/4YnTp1wqxZsxAcHIypU6di1qxZ6Nq1K4Dcm3jkyBF89tln6Nu3L77++mtYrVYsXrwYbm5uqFGjBhITE4tsUjVgwAA8/PDD+Oijj7Bnzx6kpKSgU6dOmk7/1KlT+Pbbb5GYmIjy5csDAEaOHIl169ZhyZIlmD59OuLj49GtWzd1Vr9SpUr56po2bRqaN28OABg7diw6deqE7OxsuLjkz6U6Y8YMTJkypUjXIJGUJeymmYVtv1PEx8fj+vXriI+Ph9VqVY1QoqKi1EFe1apVMWPGDDz11FNQFAXDhw/H9OnTER0djejoaEyfPh1ubm7o1atXseq+653+L7/8Ag8PD1gsFuTk5KBz5874+OOP1e3h4eFqhw8AcXFxCA0NVTt8AKhevTp8fHwQFxendvphYWFqhw8AsbGxsNlsOHbsGJycnJCQkIABAwZg0KBB6j4WiwXe3t5qPXXq1IGbm5vmHEWldu3aiI6Oxo8//oi//voLffr0gbOzNlHFv//+CyJCTEyMZr3JZIK/f67DyauvvoqXX34Z69evR+vWrdGtWzfUrl07X1127HMGly9fRlhYWL52jRs3DiNGjFD/n5qaqrmXEklZJTfKZmEj/TtX96RJk7Bs2TL1//bR+19//YUWLVoAAI4dO4aUFOGUNnr0aGRlZWHIkCGqc9b69evh6emJ4nDXO/2WLVtiwYIFcHZ2Rvny5fN1jO7u7pr/FzRRcasJDPs2RVFgu5l66IsvvkCTJk00+9klpNLIGtm/f3988sknOHLkCHbu3Jlvu81mg5OTE/bs2aPWa8f+dh84cCDatWuHNWvWYP369ZgxYwZmzZqFV14RmYf4PbNfp83mWDMoyLxsz78pcNHrcfG8+Mx3d3f8ic/hiUwMLnnM/g4K0zZvluyjHIuzf4XFsefZqC6w2PCuTCbiGahcWH0BLEPWtUuirdnZ2uxLPLMVl5l4DP7j+5LZ/qKOJBaEzMy8ftNZghMeAz+iivjjOx0n7oXFov1thVQQZoYJLF59aLgYcBhcxLM4zWS3VCalREaLa+BJUHgGs1OnxfnDKop683obm5OY6Si7h97e4rfGs2uls/oCmLR04GCuaWU5WxaaITfjVWZSiiYePg+exj1tuVkmoJV09kzdoJbfuii+vrd8F6+WL8RnFiuJyr0Mw7B06VIsXbq00H3y9kl2S8CSWgPe9Ylcd3d3REVFITw8PF+H74jq1asjPj4eCQkJ6rojR44gJSUF1apVU9fFx8fjwoUL6v+3b98OnU6HmJgYBAUFoUKFCjh9+jSioqI0S2RkpFrP/v37kZUl/tD/+eefYl1br169cPDgQdSsWRPVq1fPt71evXqwWq24fPlyvnbYJ2qAXGugwYMHY+XKlXjjjTfwxRdfFKsdEonk1uiccgOuFbTI0Mr3iNatW6N27dro3bs35syZo07kNm/eHA0bNlT3c3FxQd++ffHBBx8gNTUVr776Kp555hm1M508eTJeffVVeHl5oUOHDjCZTNi9ezdu3LiBESNGoFevXhg/fjwGDBiACRMm4OzZs/jggw+K1VZfX18kJSUV+DKLiYlB79698fzzz2PWrFmoV68erl69ij///BO1atVCx44dMXz4cHTo0AExMTG4ceMG/vzzT83LTSKRlA4yicp/FEVRsHr1arzyyit49NFHodPp0L59e808AJA7AdK1a1d07NgR169fR8eOHTUmmQMHDoSbmxvef/99jB49Gu7u7qhVqxaGDx8OIFde+fnnnzF48GDUq1cP1atXx3vvvYdu3boVq7238pRdsmQJ3nnnHbzxxhs4f/48/P39ERsbi44dOwIArFYrhg4disTERHh5eaF9+/aYPXt2sdpQFB5+xA8eLs5o1LmCui7hoPjUTmdWMDyBuZF9mrvnyf1am0kg5w6Jc/FcuG7M8kLnJNb7Mkmhflvx1XOVyT7ZTFLgcVEqsNSCmakF+3ZENxWBuhJY+3iuWa6SlQsUElLlesLKKf6wOJZ/gROTTKo1EPuXi9BKlr5MZjnyl7Bq8WGS1RUm+1Rksk+d1sI8L4tda/xhIScFMPkorIpjvdeP7QMAJ3aLlI5RzKIrlcl8CQVYd0XW8VHLrV/I/XKGa+68kaePMwwWoybFIY+Hz4OncU9bQGulwyWdKcEL1HLznI7imgKMMJq0smlhKMot5J07GXHtHnJXO/1baVgF6VVhYWH46aefinRcYdY2vXr1KnSmu2nTpvlCOdxK6+dmo47Iez5nZ2dMmTKlQIuavC8zTosWLfK1p27duqUyHyGRlDXupfXOveQ/P9KXSCSSO4GMpy8pU6zbcA1GJz3270lW1/EY8PzjIbic+JRPThYSS2a21mKIBzFrVM9LLacxGeLaNVHm1jhm5ph0+UuRgpBbvpSvKOSP61eF/MS/wi9d0TpnlQ8WliX//CXSPnp7M+ciZpXixqSelGRxrssXhJUOr49LQzeui/35vXRj0kne+jhZ7P75MccwHdOWf/zklFquUEHcj4tJQobJ+kfUl8osjXxZwDlfH+28UyI7fveuZLVsZtZagX7inrkx2Wfntutq2Z6zIDgmGy8tAw7/m4wbZ67iCnOs4ykOeTx8HjwN0DpecSsdLulsGiW81dt8/DhyiiHJ6G4RPvlOhla+l8hOXyKRlEl0OhFqoaDtDyKy05dIJGUSKe9IyhR6nQJnJwUGZplz8CyLhcNiqh9n0kawtzhH3pR7Z64K+SDpL2FNUtHPcbo/A/t8Ps/iufu6iXZ4s5SMiZfEOf1ZmsHL14WEkZSqbdPlG8LvghkL4WiCqMOfGbicuCLaER0o9vFi7UgpIJVhxWAhW6SlO5aMAODYOSED1aws5CerszjX9kPinlcOdmw7ePacuLbMLNEmDzex/zWWVCnTJNrE7xmgvW/lWFrKTJYa8no6k2i8xPE83r/LTSXQePNWuLk6IcfDCYmXxDXzMv8NJV3SSnMNG/uoZe6858diCLX5+HG1vOGVX5CdlgrMEscVhs7pFvKOtNOXSCSSBwcp70jKBHbzTpM1d6TGM1aZrGJk62y1sfUslAH3cs/zR2G2ihGmooiRYLbF8UjfBl6340xTBpYJKZuFZMjK4fuLusxWbZuy2YQqH+mzQa+mPrNmPbsfOY7boWfZxjLZvcxix2aatSN1fp8zc8RXgCnH5nCfrAKyQfG6eZucWFvtzxkAFHad1jxWvmbNMxYbTXl3VPdhSeAd7JNlNiM1NRUZJjMyzRbNveRooqDmuc4Mk/iy4OEVuC0+n7jNTkuFKT315nlvbcacbsopdKSfbro/8nkUF4WkkXeZIjExUQZckzzwJCQkaAIwcrKzsxEZGVmkjFPBwcE4c+aMwwi29yuy0y9j2Gw2XLhwAZ6enrftcWiP1JmQkAAvL69bH1CK3Ku6y+I138u6b7deIkJaWhrKly8Pna7gOArZ2dkwm80FbrdjMBgeqA4fkPJOmUOn0xU4Aiou9kxC94J7VXdZvOZ7Wfft1GsPl14YLi4uD1xnXlQe0JBCEolEInGE7PQlEomkDCE7fUmxMRqNeOuttwpMEP0g1l0Wr/le1n0vr/lBR07kSiQSSRlCjvQlEomkDCE7fYlEIilDyE5fIpFIyhCy05dIJJIyhOz0JRKJpAwhO32JRCIpQ8hOXyKRSMoQstOXSCSSMsT/A1jIPBWJqKNdAAAAAElFTkSuQmCC",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Same data as above, but add scope probe run for scale\n",
|
|
"pitch = '0.3'\n",
|
|
"print(f'Pitch {pitch}')\n",
|
|
"\n",
|
|
"environments = [\n",
|
|
" '25-07-08-01-office-p14s',\n",
|
|
" '25-07-08-01-serverroom-p14s',\n",
|
|
" '25-07-08-01-electronicslab-p14s',\n",
|
|
" '25-07-08-01-homeoffice-desktop',\n",
|
|
" '25-07-09-01-forest-x1c',\n",
|
|
"]\n",
|
|
"batchlabels = ([5, 15, 25, 35, 45, 55], ['Office', 'Server Room', 'Electronics Lab', 'Home Office', 'Forest', 'Probed Mesh'])\n",
|
|
"group_a = [value for env in environments for value in data_runs[f'environment-{env}-p{pitch}'] if not value['info']['mods']]\n",
|
|
"group_b = [value for entries in data.values() for value in entries if value['info']['meta'] == 'probe-interleave-25-07-02-01-p0.3' and 'probe_points' in value['info']['mods']][:10]\n",
|
|
"\n",
|
|
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
|
|
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
|
|
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out=f'environment_ref_probe_p{pitch}_minmax', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))\n",
|
|
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out=f'environment_ref_probe_p{pitch}', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "64b99df8-7583-41cd-95c3-ad0359f8cf21",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"### Compare environmental effects against the hot mesh scenario\n",
|
|
"\n",
|
|
"Repeat the above measurement, but compare to the \"hot mesh\" run for scale."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 100,
|
|
"id": "48278910-10ff-4515-b930-aa8995fde73e",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Pitch 0.3\n",
|
|
"50 2025-07-09T11:02:20.361Z\n",
|
|
"10 2025-07-02T15:01:50.886Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.187119\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.464±0.0896 min: -0.0726 max: 0.636\n",
|
|
"Cross class: -0.214±0.125 min: -0.643 max: 0.089\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.000645153336\n",
|
|
"EER: 0.0016326530612244899 th: 0.08096889595885896\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978854\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.984±0.00173 min: 0.979 max: 0.989\n",
|
|
"Cross class: 0.971±0.00395 min: 0.956 max: 0.977\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.022981796940\n",
|
|
"EER: 0.0 th: 0.978652829116029\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 400x400 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 100,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"#Same as above, but compare to heated mesh\n",
|
|
"pitch = '0.3'\n",
|
|
"print(f'Pitch {pitch}')\n",
|
|
"\n",
|
|
"environments = [\n",
|
|
" '25-07-08-01-office-p14s',\n",
|
|
" '25-07-08-01-serverroom-p14s',\n",
|
|
" '25-07-08-01-electronicslab-p14s',\n",
|
|
" '25-07-08-01-homeoffice-desktop',\n",
|
|
" '25-07-09-01-forest-x1c',\n",
|
|
"]\n",
|
|
"batchlabels = ([5, 15, 25, 35, 45, 55], ['Office', 'Server Room', 'Electronics Lab', 'Home Office', 'Forest', 'Heated Mesh'])\n",
|
|
"group_a = [value for env in environments for value in data_runs[f'environment-{env}-p{pitch}'] if not value['info']['mods']]\n",
|
|
"group_b = [value for value in data['M-SP-PITCH-V2-0005-0.3'] if value['info']['meta'] == 'hot-mesh-hot-serial-5-25-07-02-01-p0.3'][:10]\n",
|
|
"\n",
|
|
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
|
|
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
|
|
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out=f'environment_ref_probe_p{pitch}_minmax', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))\n",
|
|
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out=f'environment_ref_probe_p{pitch}', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "a2925799-ee00-48b1-aa11-03b2bd6b756e",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"### Compare environmental effects against the patching attack\n",
|
|
"\n",
|
|
"Repeat the above measurement, but compare to the \"loop patch\" attack run for scale."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 101,
|
|
"id": "0452ef1e-01d3-40d9-813a-a81800655ddc",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Pitch 0.3\n",
|
|
"50 2025-07-09T11:02:20.361Z\n",
|
|
"10 2025-07-08T17:31:25.244Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.187119\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.464±0.0896 min: -0.0726 max: 0.636\n",
|
|
"Cross class: -0.0202±0.79 min: -2.47 max: 0.551\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.396483909561\n",
|
|
"EER: 0.21596401028277637 th: 0.4076621357746832\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.978854\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.984±0.00173 min: 0.979 max: 0.989\n",
|
|
"Cross class: 0.951±0.0824 min: 0.698 max: 0.986\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.368705970764\n",
|
|
"EER: 0.12996884735202494 th: 0.9821635381409752\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 400x400 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 101,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 400x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"#Same as above, but compare to patched mesh\n",
|
|
"pitch = '0.3'\n",
|
|
"print(f'Pitch {pitch}')\n",
|
|
"\n",
|
|
"environments = [\n",
|
|
" '25-07-08-01-office-p14s',\n",
|
|
" '25-07-08-01-serverroom-p14s',\n",
|
|
" '25-07-08-01-electronicslab-p14s',\n",
|
|
" '25-07-08-01-homeoffice-desktop',\n",
|
|
" '25-07-09-01-forest-x1c',\n",
|
|
"]\n",
|
|
"batchlabels = ([5, 15, 25, 35, 45, 55], ['Office', 'Server Room', 'Electronics Lab', 'Home Office', 'Forest', 'Patched Mesh'])\n",
|
|
"group_a = [value for env in environments for value in data_runs[f'environment-{env}-p{pitch}'] if not value['info']['mods']]\n",
|
|
"group_b = [value for value in data_runs[f'simple-attack-25-07-08-01-p0.3'] if 'loop_patch' in value['info']['mods']]\n",
|
|
"\n",
|
|
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
|
|
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
|
|
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out=f'environment_ref_probe_p{pitch}_minmax', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))\n",
|
|
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out=f'environment_ref_probe_p{pitch}', do_lines=True, batchlabels=batchlabels, figsize=(4, 4))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "9e81eb7d-3d8c-4ad3-9126-69b5e0d5483c",
|
|
"metadata": {
|
|
"jp-MarkdownHeadingCollapsed": true
|
|
},
|
|
"source": [
|
|
"## Repeat baseline vs. looped patch experiment using TDP0604\n",
|
|
"\n",
|
|
"Let's see if that board is any better than the PI3HDX12211 that we use in the other runs (spoiler: no, it's not)."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 102,
|
|
"id": "e1d9ee9e-1b0b-45da-a7a0-0d192d0e0eee",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"10 2025-07-09T15:11:08.766Z\n",
|
|
"10 2025-07-09T15:11:29.146Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.995213\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.997±0.000417 min: 0.996 max: 0.998\n",
|
|
"Cross class: 0.972±0.0684 min: 0.765 max: 0.997\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.368134993436\n",
|
|
"EER: 0.37183098591549296 th: 0.9959356111983982\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.676287\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.808±0.0426 min: 0.67 max: 0.862\n",
|
|
"Cross class: 0.493±0.734 min: -1.72 max: 0.859\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.401475759067\n",
|
|
"EER: 0.31320754716981136 th: 0.7944348801630056\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 300x300 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 102,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 300x300 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Can we distinguish baseline versus patched traces? Patches are done using small wire loops 3~5 mm in length.\n",
|
|
"# Here: using TDP0604\n",
|
|
"group_a = [value for value in data_runs[f'patch-attack-25-07-09-02-p0.3'] if not value['info']['mods']][:10]\n",
|
|
"group_b = [value for value in data_runs[f'patch-attack-25-07-09-02-p0.3'] if 'loop_patch' in value['info']['mods']]\n",
|
|
"\n",
|
|
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
|
|
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
|
|
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_tdp0604_p0.3', do_lines=True)\n",
|
|
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='patch_tdp0604_p0.3_minmax', do_lines=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "1702f98f-74e2-4e13-b2f3-9276e9112606",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Repeat looped patch experiment with multiple runs per sample\n",
|
|
"\n",
|
|
"10 runs per loop sample, and 20 baseline runs, 10 before and 10 after the patch samples"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 103,
|
|
"id": "e93fec13-806b-4181-9bd4-8912a2d9800d",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"{'SP-PITCH-V2-0058', 'SP-PITCH-V2-0063', 'SP-PITCH-V2-0062', 'SP-PITCH-V2-0061', 'SP-PITCH-V2-0065', 'SP-PITCH-V2-0057', 'SP-PITCH-V2-0060'}\n",
|
|
"20 2025-07-09T17:39:02.553Z\n",
|
|
"70 2025-07-09T17:37:40.678Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.991727\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.997±0.00157 min: 0.993 max: 0.999\n",
|
|
"Cross class: 0.994±0.00348 min: 0.982 max: 0.998\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.715256625096\n",
|
|
"EER: 0.33910524621821697 th: 0.9956765300747624\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.470057\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.633±0.0528 min: 0.449 max: 0.77\n",
|
|
"Cross class: 0.473±0.101 min: 0.0629 max: 0.711\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.510969730299\n",
|
|
"EER: 0.14564546016059293 th: 0.578163021102501\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 500x500 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 103,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 500x500 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
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"text/plain": [
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"<Figure size 300x150 with 1 Axes>"
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]
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},
|
|
"metadata": {},
|
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"output_type": "display_data"
|
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},
|
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{
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"data": {
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"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 500x500 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
|
"image/png": "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",
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"text/plain": [
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"<Figure size 300x150 with 1 Axes>"
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]
|
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},
|
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"metadata": {},
|
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"output_type": "display_data"
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}
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],
|
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"source": [
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"group_a = [value for value in data_runs[f'attack-repeat-25-07-09-01-p0.3'] if not value['info']['mods']]\n",
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"# Exclude mesh 56 as its response is easily distinguished by min/max, making it light up very bright in the plot and swamping out the colorscheme for everything else.\n",
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"# We also specifically did not measure that one sample that got a hidden short during modification, since that's also too easy.\n",
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"group_b = [value for value in data_runs[f'attack-repeat-25-07-09-01-p0.3'] if 'loop_patch' in value['info']['mods'] and value['info']['serial'] != 56]\n",
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"\n",
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"print(set(x['info']['specimen'] for x in group_b))\n",
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"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
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"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
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"\n",
|
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"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_repeat_p0.3', do_lines=True, figsize=(5, 5), smooth=1e-7)\n",
|
|
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='patch_repeat_p0.3_minmax', do_lines=True, figsize=(5, 5), smooth=1e-9)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 104,
|
|
"id": "a0b40116-b716-44b1-b8e8-33e69d590035",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"{'SP-PITCH-V2-0058', 'SP-PITCH-V2-0063', 'SP-PITCH-V2-0062', 'SP-PITCH-V2-0061', 'SP-PITCH-V2-0065', 'SP-PITCH-V2-0057', 'SP-PITCH-V2-0060'}\n",
|
|
"20 2025-07-09T17:39:02.553Z\n",
|
|
"70 2025-07-09T17:37:40.678Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.998986\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.999±0.000102 min: 0.999 max: 1\n",
|
|
"Cross class: 0.999±0.000334 min: 0.998 max: 0.999\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.392163077311\n",
|
|
"EER: 0.15651478816946443 th: 0.9992030775816553\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 500x500 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 104,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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a5PR0mvS7WHYNmX3TTceoKhdp1lzAIs4aZr9K0XQT5AMvlhoxUnIcQZrOGcOW0z0qCoMg5btHy+R0OoYpR2ribgFtD2VjO84AZMOgcRBeUG4fZ397x+gcJu/s4Vap96apyEvKpeNHxSlqmil3mrz8x2Jy/rYkfd5uJEqDvNuNSfk94pC3PkhFQVqSsm2Rt91ulZ/RooIVRSE5f2uKNWs5/wd75biG+o+lptzWJK+ZfuSrTsXlOd1cn93gbFH+fbyZxnG0trdbE9nHL3wa9HV336NP0oqiKEpO6E2671FNWlEURVFOUfRJWlEURckN1aT7nLxv0nZTKxBu13C4HjRncbMPmjXo0XdMEe3X73taLi9CWs5h6Vt2SV/j3GWQjxkpqkVcLz2trD/6srU55zhJHt0myv7uksN8vHC9l1mu0Uq526RXupFucrY5zzvdgw5FXmyzSRY2dwv6iXakMHuWdtkAuU8LimU2dYw8nQ5p2KcNkbnKraTfsc86SIewax46AF+YuC+rvLsCxrJD9slh0oCpHjRr2qZN2d2tcpyEb/l0zNkXHSQfdSrE2exye4IpuX8ClHudcKRmHLHk/rbpS5WzuVnPDVKudGFQ9o/S8Yt3U447EuQvcrlNLSk5nfPAy2noSRPFnRdHZP+kLbc5TN+KaRoXEQrL+QeeIc+JAGnG4QK5jwtK5TXCFNM1xYSofnQhZXe3dozzMOMn/0Wp+qT7Hn3drSiKoiinKPq6W1EURckJHTjW9+hNWlEURckND3kW2DhpW/K5Ie+btJuy4aJd53JaKes6lD2Lm33QrEGf++ObRXvP3z8q2mZY6pm+4sYH3jzRZrdvX4A0Z9KsDc7uppxrz+exleKXF5Qautl2XHM24u1+VrOpFlaHl9VwpfbmkAZttZHGDcCLSQ3Sotq7DvlyA3GZTe2E5TpMWkcJ6WODSH8rLZf7MFoiT6kSyvIOhuU+O/aJ1GxLaX2BStnflwUepzx2runNeeikOQeaSZOnc8JItdF0ytJuyz6OwJfF7XAWt9w+16R6zXROBD15fF2bts+UemXQlfu3qkD2H9SPfOtt2X3QFcW0f2lcxsAyylZvlP052zuR8n9rF0ToHGmmGtTkiy6SlxmC9K1WTkM5IlTf2SHrvU3tQlo++6RZE26oleMSIsVygwbQNZT8gzyHB1SRN5/gp9GS0+h7pnPcSCx7LXflzwN9klYURVFyQl939z16k1YURVFywvM839uT3s6v9A69SSuKoii5oT7pPifvm7RVEIXVoQ17jtRs3aTUZrgeNGdVsw+aNejx/3S7aL8xbyNtjNTDnEFfkOtrkz5qg7K6QT5nLzxUTmdPMvenHGkrKrUlN9olV7lfew63MWICjMAwAED6sKyNbJAH1+HscQBGKeWN0zbxNjuc/UxZ3qzpNh9tFO1DVOs2SbnD/U7LXk/atLLrZOyTtqi/Sxe5V0D1sElzNqK0z2jcAuev+7K6SdM2aByEW0TnEOHFaNwDbZ/HGjRp4HZQri/FPuqUPN4O1c9222Q98Y/o9DgSl+dDQUAuP+nK7atrYd80Zbfbcv8ejpOHl4ox293YZiMBucyjiezZ3TWUD14WlJ8p6cj+FmWDcztK34q8jSGS3Q+9J8cdHD5Ix4TqRXPWNo/L4HEb7ItOJeQ1FaNrpuVo+z7+LLK7lb5Hn6QVRVGUnNAwk75Hb9KKoihKTujAsb5HE8cURVEU5RQl/ydpz8tkWDtxqcUYpBG7cam3+epBUxY3+6BZgz7nob8V7Tcf/N+ina79iLaVXrXYpDcWkg86JT2pHum9ZrHMuebscPaJd4fbdAzO0UMAAKtU1hL2ikhvtbvRmLimdVLqW0aJXKZrU61a8v2y77j5qOzfRPpXMCQ1Y64HzYM5XcrudqlDrFXqbXQKwSZfrdlP1tN2j0nfM2vAZpHUqN0Gec6Bs73DdAx4fxXJc8DjetQ213smjZx2mMuaNXntPcqTd9nkS9uftuQlnmyUx6/Yled0vS23L2VRfWqnUbTbaPUtpL+2QX5+J0HnSzfpFgESgVsgt8m25PdCOC01Yc4jT7gyK9uGbJuQ6yt05TFkDdxJyc9Q8ye5/qOH5TUTb5MadJTy8Nuas2vHgQDXs5b7rJlqsrd0HOO2FI2hORnowLE+R193K4qiKDmhr7v7Hr1JK4qiKDmhN+m+RzVpRVEURTlFyftJ2nMceJ26WA/6mHf4gGinaLqvHjQP1yeBkjXosx+YJtq7Zn8s5ycN2iwsltvH6yMN2xowSG5ek8zB5lrDRlBqX15XPTPQPs0oKoFZ2r5dbnOjXF+pzN1Ot0jfdHfr9PlwqZ6yr14y+ahZA2VYD4uRKFnaX2q2beQJLRsopzcekcckSR5Q1rgjURrnwDXACR5H4LQ1yuWT79hIyP3FGrDPK8/jHLieN03nmuMg3zrYt05wzXGuV+2G6Zwm33coLfPo04bcnx7kDvdYM6ff9Wn6Cik0qd41+cx5fm4DgMP7jDRji/POjewaNG9jgcGas/yM7A3nfWJRfetYqzwneNyGSecwe/8TCfn5gkHeJzSdssd5/YmO7IJkir6PTwKel+eTtCaO9Rp93a0oiqLkRpeBwp96fqVX6OtuRVEURTlF0SdpRVEUJSc0cazvyfsmnaqvh9eRL+yQRstZ2SbVW3Ybj8iFsV5K9aA5i5t90KxBT/zpnaK99861cvt68E1bxWXIhkmaMWMEpDYmcp87tU7PzWjvPg2a9VbeP4DfJ00aK8graVB/M0HebktuM+tfxUVUL7pU9mdCVBu4rUluTwHV2m0lfc0iQS9ty9dlRpI0d/r8vmNM3nuDNFNQPW400nSGapCbpDEbtDzWjK0E1cM2pGbsUA3zYExq0mmazp/HbJHLsy2pUdsOZaWT3hpwqD45pP4bgNzfbVQvm/v7Ne/uXuaRZhuW1wXnnQdSch8GaFyAa8j+CXrlmjbI+07ebYfmNz25jxqOyvyHZFKec3xOpykroPaQ3MeRcPZrLkZ5+CVUw/1wffs5ELc/G590XiO0dXR3r9EnaUVRFCU3NMykz8lZk04mk2hubhb/FEVRFOWzZPXq1Rg+fDgikQgmTJiA3/3ud1n7P/rooxg9ejSi0ShGjhyJZ555Rky3bRuLFi3CiBEjEIlEcM455+BXv/qV6NPS0oK5c+di6NChiEajuPDCC/Haa6+JPoZhdPvv4YcfzvS57LLLfNNvuOGGXn3+nG/SixcvRmlpaeZfVVVVr1akKIqi/HnTGWaSz7/esHnzZsydOxfz5s3D3r17cfHFF+PKK6/EgQMHuu2/Zs0aVFdXY+HChXjrrbfw4IMP4vbbb8cvfvGLTJ/58+fjsccew6pVq7B//37Mnj0b1113Hfbu3Zvpc+utt2Lr1q3YsGED3nzzTUyaNAlXXHEFamqOlxOura0V/9atWwfDMHD99deLbZo1a5bo99hjj/VqHxhejsa1ZDKJZPK4dtLc3Iyqqipcef0yBDs0afYNe6R/Bg+9Ldp2yWC5Etb3Wg6Jtlssc5p9HlTKUWaNd9zy74g2a9ROjPRNwiqQGcIee2IJHiTRtf+IM0/DiuU34XuzV+O9P3XkR3NudFzqiYhKPROA30tOGDHynvM+Yw2VNMr7p0oNtJbqSRcUSs2xiDRqkzRlK0C+W0eefkdq5fZECuTymyl7+qk//Q/R9mnS0RLRNmKN6A3sMzbYV05Z3marHGfBPmweV2DZ8pxzLemTdsk3HYrL+tAu6bPpqMxqBx3PUEJeoxFX6qmsSbcEZH3qaLpRtIOQyy8KyHZDmnz8RNrwj2kIeVKjbQuUibZBX1kGndMhyiNnTZn7e+SzNkhz5mxvh7b5povk9h6pl997/cponAf5oPkrmH3TccoOKKRrIhyW7caOayRmp/GdF/4/NDU1oaREXge9pbm5GaWlpZj1zB6ECrr5HsqRVKwFj39rPA4ePCi2KRwOIxz21zo477zzMH78eKxZsybzt9GjR+Paa6/F4sWLff0vvPBCXHTRReJpdu7cudi1axe2b98OABg8eDDmzZuH22+/PdPn2muvRVFRETZu3Ih4PI7i4mK8+OKLuOqqqzJ9zj33XEydOhU//OEPu/1s1157LVpaWrBt27bM3y677DKce+65WLFiRQ57p3tyfpIOh8MoKSkR/xRFURSlt1RVVYk3s93dcFOpFHbv3o1JkyaJv0+aNAk7duzodrnJZBKRiPxhG41GsXPnTtgdBYpO1KfzJp5Op+E4TtY+zKFDh/DLX/4SM2fO9E179tlnUV5ejjFjxuDuu+9GCw3m7AkdOKYoiqLkhos8B461/6e7J2mmvr4ejuOgokK+Qa2oqEBdXZ2vPwBMnjwZTzzxBK699lqMHz8eu3fvxrp162DbNurr61FZWYnJkydj+fLluOSSSzBixAhs27YNL774IpyOxMzi4mJccMEF+MEPfoDRo0ejoqICzz33HF599VWcddZZ3a53/fr1KC4uxte+9jXx929+85sYPnw4Bg0ahH379qG6uhpvvPEGtm7dmvMu05u0oiiKkhMnq8BGb97GGhRN63me72+dLFiwAHV1dTj//PPheR4qKipw8803Y+nSpbA6YqVXrlyJWbNmYdSoUTAMAyNGjMCMGTPw1FNPZZazYcMG3HLLLRgyZAgsy8L48eNx4403Ys+ePd2ud926dfjmN7/pe/qeNWtW5v/Hjh2Ls846CxMnTsSePXswfvz4nD5/3jdpMxSBGWrfMI88qL5cYyYsa9UiJfVOLyB/XRllA2X/nrK4af2sQfs06rufEG2uf23QAXDqpD7IvmmTfNJu1+3p0J+t8koE2tp1TS8p9ViXs8C7q09NmrQbk69SvGLSKBPyM/myvk25T49RtvaxY1JzbKPsbq5920C1bktIn4uT57OOPKNl5AFNpkhP5OxyztY2yadbKMct9KTZ+6D63EiRpk/zO0V0zhKOIaebMZnP7hbK9SXpmuBxHB6NW+DPlybfdoxyqk1XHg+Xlu+k5f5MmfKaSNHyEwG6JnvQfwHAhvxeSIfllzl/L5gpeU47abnNwTRp1Kac7vI5wnnm7JN2uca6XP/hY/IcdGjcRQHlz8fich/Y5KPmkghNzeSTLpLL+6i2/RpNpD8Dn3QfUl5eDsuyfE/Nhw8f9j1ddxKNRrFu3To89thjOHToECorK7F27VoUFxejvLx9fMXAgQPxwgsvIJFI4OjRoxg8eDDuu+8+DB8+PLOcESNG4OWXX0ZbWxuam5tRWVmJ6dOniz6d/O53v8Pbb7+NzZs39/iZxo8fj2AwiHfffTfnm7TGgiqKoig50Zk4ls+/XAmFQpgwYYLv1fDWrVtx4YUXZp03GAzi9NNPh2VZ2LRpE6ZOnQqTBuZGIhEMGTIE6XQazz//PK655hrfcgoLC1FZWYmGhgZs2bKl2z5PPvkkJkyYgHPOOafHz/TWW2/Btm1UVlb22LcTfd2tKIqi5EYfF9i48847cdNNN2HixIm44IILsHbtWhw4cACzZ88GAFRXV6OmpibjhX7nnXewc+dOnHfeeWhoaMDy5cuxb98+rF+/PrPMV199FTU1NTj33HNRU1ODhQsXwnVd3HvvvZk+W7Zsged5GDlyJP70pz/hnnvuwciRIzFjxgyxfc3Nzfjnf/5nLFu2zLft7733Hp599llMmTIF5eXl2L9/P+666y6MGzcOF110Uc77QG/SiqIoSk70danK6dOn4+jRo1i0aBFqa2sxduxYvPTSSxg6dCiAdq9yV8+04zhYtmwZ3n77bQSDQVx++eXYsWMHhg0blumTSCQwf/58vP/++ygqKsKUKVOwYcMGlJWVZfo0NTWhuroaH3/8Mfr374/rr78eDz30EIJUfnjTpk3wPA/f+MY3fNseCoWwbds2rFy5Eq2traiqqsJVV12FBx54IKOP50LOPmmm0zc3Zdo/IRhq16K9FOUUs+/48Ady5VX/XfanrGojRbV3S6V+ZxTK3GIf7Gmlj2oVSa1r3D/eKtq7vvOPom1GpObuq38dkvpccMBpcnNaj6e0nTm8HD/58XTMnfs03nuvww/OOdyEx3orAIPqP3s21ScmrzVrnqzvWUnZf951Mlnu0Mdy3AD7mLmedDG1k6RBtzVLjZt90lx7N0x63srXzxZt3zlDPmL2NQeaa0Wbs7J92d50DrlR2T/A3v4gnTMRec75jkc4uwc12CK3Nx2VGjtIU+bjW9r0jmgXW6Sp0/oOe1ITL/HkOW978ngEDbn+lCf3f8iQ53B33/eWIf/YZMjPmIpQHoItNeGwLc9Z9jlz3jhPjxtynIPlZe//Py+Q29vcIvv37yfPOV+ePfU36ZwPULZAC9VoL6ZxGw3HPjuf9C1rX0UoWtTzDCcgFW/Fuu+cd1K26fOCPkkriqIouaHZ3X2O3qQVRVGUnDhZFiwld3R0t6IoiqKcouTvk44c90nbLVSbuFnmPgdI70wfppD0IPmiqb8XHirbpIGzx5XrQXM2N/ugWYOeuPZu0d59+0q5fVybOEieVa5r22X9XqLDCxoMZ5bDmrNHnmYjSXorAOM00uUpK9qgesXs4zVpuunKbeYRC+z55NxgpumIPEY2+ZxZf2MNmkMLUpRr7NOguT5xt/WKTwxnbXuUne3r3804ga5YSbl/PfIds57qsG+d6nuzb5nrVfuyBdi3bEoPsueQ/kl6bTos9Ueb6ndz7WUmadI1QrnarO8CQJtH+5w0ava+W1TzmmtU25S1bZFuHzPkZzRJg7ZN8mWTtzuRkOM0TDpnuZ50MCmn21QjnbO6ub40Z3/7rhHb7Vhu7nanXPE8r9eDv3h+pXfo625FURQlN1y3x6I+Pc6v9Aq9SSuKoig5oZp036OatKIoiqKcouT9JO05DryOcFkzTFpSxRmyL3lSffWRuc4reVZ9vmfSaK0Bg7JuK9eD5ixut1Vq4KxBT3j0e6K9546fZl2fS5q52cWXbUTbtUEjEIDRYZA3SEN3OUe6m3rSXlLqYWiS9Yy9ENXAJt8v5x67pG/F26QGmaZc4XhMHpMiyuZubZMat0mez2BI/k6MkY86RNPZM+rzQVuBrNMZ1nh92d28fPKlG/FG0XbI5+yrJ03Lc4KUX8/rZ02dfdp8jRAGHV+DNGDbkHqr59HxIc9xypCfP+L5x0l0xaIxDjb89aMZl7KyHYu8/Cl5TrJG7K8XTVnd9GySpuUbHp0TBGd/h8OUhx6XnzkYlBo6n9O2Lbc/SPn3nOUdoFOar8FEsv3zJz4LTVqfpPscfd2tKIqi5EYfx4Iq+rpbURRFUU5Z9ElaURRFyQl93d335H+TdpxMwVM3TvoUacjBdIImZ89F9qi0GEiDNotlhq/bdExOp/rOXJiV60Ez7INmDXr8T2aL9q7Zy+X6qf5z1zJtXketV7fhCJwjtR3rKzhh//bO3WR7kybt0+MoqxrU9mzStEkDjRbKU8Sm/pyl3doo9TiWVFPkAeUs7zB5QlkDZ181fz6TNGK3sBzZCJC+aRfLEnKscRvkEwb5qFmzDjR8KNpcPdkkHzNnfbNGzZqyQdcUZ3ezJu5Q/efitLwGEoZcv0cv21waEpDyWO+V54O/drPUpAvSMru8faWU7+3IY8D1ny1PnnMW72U3kXW6RddVkOpFe5RobpP3m8dJWGZ273+KsgJoGAjsNOU99JDlXUTZ3W0d15Rln/wbot6k+x59klYURVFyw3P9gxt7O7/SK1STVhRFUZRTFH2SVhRFUXLC8/J7Za2Du3tP/jdpy2r/B/g0aH614fekyiPG2dSGLdteP6kXcj1n1nR7gjVr1tQ5i5thDXriT+8U7b13rhVt4Wnu2DdGQTGMItKFOyHN3gh1kyNNf/P4dRJnedMyffWLaZ9/8pFsd3owO2k8KpdXUNSDL5myvxNxqQ82NcntDYWk/sbZ4awRcza27/Uaacxp8pH7NGD25hdS/eYUjQmget4OLd8toHESBNebBn2edA9Z5F60TG4PZZtbdHybQxWiHbRJow/J7QmmZJYA67OsDzu0/QFH7i/O9gYAj3TtVFTWtPZC0lvutkld3XJIpydShpzfCcjvDZtrcpMGzvn29UflWJhDR+U5U9jKWdyU7R3L/gqYNesjtPyyYrl9iQ7NO57mERD5o5p036OvuxVFURTlFEVfdyuKoii5oWEmfY7epBVFUZSc0NfdfU/+9aQDAZiBdu9j12xqwF/vmXONzX6nibbbJOtPs+fUipKPmHzInRnYmXaAavHanCMtpwcHyO3x1YPmLG5aP2vQ45Z/R7Rf//5Tmf/P5IgbRqYeLK/PKpMeX5fqYQOAGSV9roea1KB6vr68dNIQB1bKY5Agn3NxidyHkcLs9aWZJGncBQXZ549EqN5y8UDZgX3ChTLbmvPeuf4y+65Zw4ctzwGfZs3Z4T1p5PxkwZqzJfeHLzucNHBuc1Y466kljsx6b4M8n9h3z5qz24NGbnJ9btKbuXYzAHhcP5qh/Hk3RGNR6JD5vOV0jphUj5rrUwfJZ83Z4tGI/EyFETqn6ZytqJDnXG0dLZ8+fmkx+aDbSOOm5Qc7xnEEPgOftNL36JO0oiiKkhtaT7rP0Zu0oiiKkhOe58HLQ1fOZ97PK3qTVhRFUXJCNem+J++btJtKZfJ63VZZe9aLS09luO2waKfqyPfLOcxtUqN2SX9lfHoiZW/7NGbWY0lfZA3Yp7nTqxuu7dxVgwaAc5fMyPz/oM49b6eOa/e0Pc6hg6JtFPjrSbstMvvYs8lbTRosKOuZ60lbNL21iWvjci1cuc1lBfIYxEk/4/rRvqxuWh7X3mXMJlmj3OP6z+w1p2PMn99zKHucNFXfOUMaMWeHG5zNDUkgKfvbltT4zVapGbN+6svW7iH7u8CV1yjFUqMQNIYhJb9Ugx7tT3oyiphy/zX38KUc8fwZAa5HnylJXnHyngeTMi+Bs7i5XnSQvNphT57zafpadAx5TDjLm0mRFty/TH6eeDy7f7mQ8vCDQbm+sjLy+lO+feewAYMN1sqfJfokrSiKouSGWrD6HL1JK4qiKDmhr7v7Hk0cUxRFUZRTlLyfpIcNHYBwR2a2Q9qLL8u7SmqqXlR6WAGqHdxEGvOIsaLN9aMN0ox92eGNUuO2yrNngSMoc5aNANW1bZB6oU8zJk2o4UfHNerC0wcA916Dix+cgdEdEtWf1m4V/Z1ufNGMGWENUu5Dp1WOC2DN2mummtrkG24N7hbtekMe0zZbHvPWI7IdoH1gkIe1lTyrMVNuf4jmd+iX+JkXXyoXSD5l9tY7XPOcfM+gnGa2jBhhGkdBNc8764Rn2jRmgM9xQJ7TvDyDtofHPfg+b3+Zxe000jna9gXanOy+7RI6PgFbnk/pcJmcnzT8QjP7V4yvHjYAj2p0l5Mv2iNNmr3uVsshuQ4aCeAZcp/6dHzfRspz0KQ8dLv4E9FO2rJ/W1SuP1zGNbflPovR+hL0tZqgcQJFBbJ/LNk+PW52U38+X9SC1efkfZP+UfWVKCkp6bmj0i3X9+tygd0/6f/dhiiK8hdFc3Mz7tq86eQuNE8LlmrSvSfnm3QymUQyefypo7m5fZTo/Yv/4/iTdKN8svU9STfL0d09P0nLkbvGiAmi/dk/SVOiWZ5P0ujyFHv66QNw973X4PkGD/Wn8JP0JRF6km6QxzRKo7MLC3p4kqYH1VYa/R1L0JN0MPuT9BslX5YL/LN7kqZz5DN/kqbt6SkBLc8naU48Y3J5kjZO8Sfp8aXySfrgMdm/vFCuvz89SfM1ZfL6enqSjp7gSTr1GTxJe54/Eq238yu9Iueb9OLFi/Hggw/6/v7hwQYEQ+0XWrpe3oS51CKO1YimV5Q9otI6dkC0jcAw0XaOyovRLKX10Resc7ROtANt8nW6QzdxtnBx7KhzhH5EUMlJtkBwTCoA1DtAXcc1+sFB+QWabmn29WesAmlL41KVTlOjaHO0qXdMfgaE5GceE31HtGuPyC+Uoqj8Bikpopu0SV84dA9sapE3gZYYWXqoVGWaSlW+1/9s0eYoWKtQfqE7bVTasoebHp9Dvh9FHNtJ0bMu3SR9N0WO1eSbNG2PFyeLFH3ewGlye9L1dI42Z98ejgH13aTJMpamMpIgCxvIUsYYtt+C5dFN02dji1DUK9ngAo0fy/l7ukmHerB20jGykvKHyun9PxTtg4fpnC2h9Q+Q6+dryqJrxqJTpC0pr4GyQtm/Jd4+PckPScqfJTnfpKurq3HnncfrJTc3N6OqqgpeMgHP7ThJeqgn7ftFzNNb6SZJXxDpw/Imb5XKLwi3uZGmU+1efupJ0q94rrVMn8coLpPtHupXsy9b7I+OX5R/Wrs1c3M++4FpovubD/5vOb/p9z269GuZbxL8FGDQTQVFVB+ZvpA+qJX7oD4uv3TL6TO2xuUxjaXk+uNpumnLteOoLfdpsSWPke3K7Q+cKY8xP8n68tbpJutTyOicNAvkTd6IyBuCSzd9Xr5BT7YmPdmnm+jJtgfNzqS3NXy8+Zy1ymS2uVcsjzf/iPBlj9P5kErQTTlCN7geaqBztoDvTQYAI5L9h6cvC4CuQ665bZB33aOa3b589xR9L9D602XyDdw7H8uHiRZXfuY2elI+3Cq3P56mGgN0VZh0lqbJR34snu52eso5+T5pTRzre3K+SYfDYYTD4Z47KoqiKH+ReK7r/6HVy/mV3qEWLEVRFOWUZfXq1Rg+fDgikQgmTJiA3/3ud1n7P/rooxg9ejSi0ShGjhyJZ555Rky3bRuLFi3CiBEjEIlEcM455+BXv/qV6NPS0oK5c+di6NChiEajuPDCC/Haa6+JPjfffDOMjiqGnf/OP/980SeZTOLv/u7vUF5ejsLCQnz1q1/Fxx9LOaYn9CatKIqi5EZn4lg+/3rB5s2bMXfuXMybNw979+7FxRdfjCuvvBIHDhzotv+aNWtQXV2NhQsX4q233sKDDz6I22+/Hb/4xS8yfebPn4/HHnsMq1atwv79+zF79mxcd9112Lt3b6bPrbfeiq1bt2LDhg148803MWnSJFxxxRWoqZGS61e+8hXU1tZm/r300kti+ty5c/Hzn/8cmzZtwvbt29Ha2oqpU6fCcbJHw3bF8D6lSNDc3IzS0lJMmfZPCHYMNuKBXL5BMs1UL5q0JLOFRn/zyFAe9TlomJyfBnql6+WoS1CWuFEm9UKfJk2DinxZ4D28uuF60F2zuEecNRgrH/973Dn/X/H+h+37JVAstTLWqPf96F9960i30kCohNTTWKN0GuVobp9mGJOD1S5M/pdoH2yUv+uG9pf7gAd68ehsHr3d0Crnb03SIB3yTZfSuK09VTeKttPEg//kOcaD/7yYPCfQwzgDH6SPcr6720yOBxrk5BvHwZBG7NPU22j7WVPmcRhH5ZdMqPEj0U4NOEvOTzXT+RrigYYG1S/nPH3fQDmnmxHIXIObt4H3WYquU76OwzSuIJndNeFRfWoeLc6jycebb4r2oVY5bqIgKM/x4rA8p4/Gsj8rlRfK/k001i4cIFdMxyWXdNJYtncXmpqa8rbJdn7fX3/HvyDY22ukC3Yyhud/8vWct+m8887D+PHjsWbNmszfRo8ejWuvvRaLFy/29b/wwgtx0UUX4eGHH878be7cudi1axe2b98OABg8eDDmzZuH22+/PdPn2muvRVFRETZu3Ih4PI7i4mK8+OKLuOqqqzJ9zj33XEydOhU//OEPAbQ/STc2NuKFF17odtubmpowcOBAbNiwAdOnTwcAfPLJJ6iqqsJLL72EyZMn9/j5AX2SVhRFUfqY5uZm8a+rvbeTVCqF3bt3Y9IkmR8xadIk7Nixo9vlJpNJRGhwZzQaxc6dO2F3DLI8UZ/Om3g6nYbjOFn7dPLb3/4Wp512Gr7whS9g1qxZOHz4+IPm7t27Ydu22P7Bgwdj7NixJ9z+7tCbtKIoipIbJ+l1d1VVFUpLSzP/unsqrq+vh+M4qKiQbzwrKipQV1fn6w8AkydPxhNPPIHdu3fD8zzs2rUL69atg23bqK+vz/RZvnw53n33Xbiui61bt+LFF19EbW27XbG4uBgXXHABfvCDH+CTTz6B4zjYuHEjXn311UwfALjyyivx7LPP4j//8z+xbNkyvPbaa/jrv/7rzA+Ouro6hEIh9OsnHRXZtr87tMCGoiiKkhMna3T3wYMHxevubM4hX96E552wDOeCBQtQV1eH888/H57noaKiAjfffDOWLl0Kq8N+unLlSsyaNQujRo2CYRgYMWIEZsyYgaeeOh7bvGHDBtxyyy0YMmQILMvC+PHjceONN2LPnj2ZPp2vsAFg7NixmDhxIoYOHYpf/vKX+NrXvnbifZBl+7tDn6QVRVGU3DhJT9IlJSXiX3c36fLycliW5XvqPHz4sO/pupNoNIp169YhFovhww8/xIEDBzBs2DAUFxejvLx9jNDAgQPxwgsvoK2tDR999BH++Mc/oqioCMOHD88sZ8SIEXj55ZfR2tqKgwcPZl6Xd+3DVFZWYujQoXj33XcBAIMGDUIqlUJDg8xCyLb93ZH/k7TrACcYqcaDlgKtcmBY2hwkF0UhA1abHATk0AAQUJBDmiMYeZBKVAZBGDQgxU3KBDSD2jw/3OzBDS7FenaNDeXABgC+sBIeKDb2fv+vs/+7UGbzpikGlAcWGVGKVGxtlJtQIsMqYjUUM+rJbUz6slNokEubbHN6EtOWloNuSkLyHDrUQkEVlLjFx4AHTvHgQh5lyWEjnPjF+GJWeXkUHsJPIR6Nm/L4HKSYTZcHY/YEbR+fwylzRPb5KazGKKYwE1/QCGmLFK3ry7iMdzdwjAJ3EpyyRgPLeDCeLQdPGglK7qMBqV4BxRMn5fqcIhkIw98rFhXUsOgaaEvR54E8RxyXEsroGqtvozATl5/CKGWwY3rS+fN+BguFQpgwYQK2bt2K6667LvP3rVu34pprrsk6bzAYxOmnnw4A2LRpE6ZOnQqTzr1IJIIhQ4bAtm08//zzmDZtmm85hYWFKCwsRENDA7Zs2YKlS5eecJ1Hjx7FwYMHUVnZHnYzYcIEBINBbN26NbPs2tpa7Nu3L+tyGH3drSiKouREX9eTvvPOO3HTTTdh4sSJuOCCC7B27VocOHAAs2fPBtCehFlTU5PxQr/zzjvYuXMnzjvvPDQ0NGD58uXYt28f1q9fn1nmq6++ipqaGpx77rmoqanBwoUL4bou7r333kyfLVu2wPM8jBw5En/6059wzz33YOTIkZgxYwYAoLW1FQsXLsT111+PyspKfPjhh7j//vtRXl6e+UFRWlqKmTNn4q677sKAAQPQv39/3H333Tj77LNxxRVX5LwP9CatKIqi5Ibn+q21vZ2/F0yfPh1Hjx7FokWLUFtbi7Fjx+Kll17C0KFDAbQ/mXb1TDuOg2XLluHtt99GMBjE5Zdfjh07dmDYsGGZPolEAvPnz8f777+PoqIiTJkyBRs2bEBZWVmmT1NTE6qrq/Hxxx+jf//+uP766/HQQw8h2GHhtCwLb775Jp555hk0NjaisrISl19+OTZv3ozi4uNvq37yk58gEAhg2rRpiMfj+PKXv4ynn346o4/ngt6kFUVRlFOWOXPmYM6cOd1Oe/rpp0V79OjRIpSkOy699FLs378/a59p06Z1+/q7k2g0ii1btmRdBtD+Sn3VqlVYtWpVj31PRN43aSMcyeiARpR0VkdqRU7RaXJeDhMhDduLSY3ZKCVtiMP82WTPoQY2hSBwGULStozTKHifKyZxm/RQk/aH21Uz7/hFaUaimUpWvmIZpG+y/gwA/2PhDaL9xryNos2lFbnoB/+uNYJS74uT3uaB9TLZjlBYSSEFN6ToELSlso9yjKeljhR3KNyjUO5jI0R6JWX1+EamcpUr0qR9BSy4YAeXwmyR5U59YSpy7fBYo6Xl+bafNfAetoePt2dnLx7BVbU4HMVrobAYKtBi8DVMQSM5PUn5yof27muKq2IZ9Jk5YMXggBZf+U4+Z6iICe0yHrhbGJLXsUXToxR2ErflOVEUktNbKPCnJCLPkVjnKWJ8+tfSJ6KvX3cr+iStKIqi5Eofv+5W9CatKIqi5Ijn5fkkraUqe82f9xh9RVEURfkLJu8nac9OwUPHSDX2gFJBDSsuNWYnxgXjpX5mpaU2lWbfMmvC7Ism7YiLAbhcXKEH7QlNR+Tq2CNKbZf1uS56YkYr9LzMfH79U+qP7IEG/Br0OQ/9rWjv+d5qOQNroHTMXNI4gz38jOMfxuGg/EOadmmaCtG3pUnzBKcLkeZtSn2vqYd95tOoSefnghs83UtmL1jim5/OwXStLGBhFGQvKmDQqE/WlNkXzhqzl6YiMHyOs/7KcOZBDwUyvLj0FJtJuXyvQGrWPL+Romsa3XjDo2XUgUbG8nXP66DvES64wUU+uD9MOiakkTeQjTtG57Tjyn3KGjNr0CZpyXwNcFZBjMZ1pBz535OK67X/y2d+pVfo625FURQlJzzP9T2M9HZ+pXfo625FURRFOUXRJ2lFURQlN/R1d5+Tv0/aCsAItC/GbSOPaCH5jFvre7Vsp6A//YH0QMqZ9uJUzJ1MuUZMbp/HOcSk13Hmrxei3GvW60hL8yhzuGsWuJFs3zdOawucpsaOP2b3DHMON+D3QbMGPX6lDAHY8/ePyvlZAyWR2TJlO+FKTfS0AqmZBujdTChAehrbci05f5JzkDnqmaablL+ejtE+p5qwvlxo1lhZ42YvPWnCmWPXufhC1jtJXyWNmH3UblM9TSeNmXOj+8nsAfZNd82LB+AbVxFuOiDaqUK5PNeRn8fs4Zpg/daMN8rppM/yuA7A/xn5OuR5zBQdc1ceQydSJvtTTQDTlmNb3BB522m6VyC/NwbQLrZMGkdAGnNZIV3nLfLzFIRkf76vFdPnH1Qml5dItc+QoCE1JwN93d336JO0oiiKkhv6JN3nqCatKIqiKKco+iStKIqi5ITXxTL6aedXesdJ9Ulz9jVrxEHySdsB0gvJrxiIH5OT09IT6nLGr88fycV66eQizdjkrHD2QdP2sYfUtz6XPKBdt99p33bPTmW8yawPu62k8VMtaMDvo2UfNGvQ4//pdtHe9Z1/zDp/K+UE25Ca7LG43GbbpZqtltQgA6RxO57szzVwXfKEpjx5ytpHZY1yrhfttlFNb9KwWUNmnzj7oDkbm5fvxuUx57x3rnfN9aPN/rLGus/nTMfHbaVayXTOsibtUdZ2uk1q4OwB5lrNvuzvHvDoGvcKKeu7VerDAOCxJpxs9fWRM5Cv2KDP4NC4iZTcZ06A8tJJN/csus7JC+7S11gr+ZajtDlHOZ6B7lsNMXmMHZoesuQf6hopH79j85Pqk/6LQF93K4qiKMopir7uVhRFUXJDC2z0OXqTVhRFUXLCc11/uddezq/0jvx90oHgcd2O9DLOKU5HyDcdlXqZ2VQn2k5Yzs/6li9XmDypZoJ80b7Cr+SRDUi9kj2h7Mf02D8ZJsNkFj9np/fSa66Hd6y2/Y9cm5f1y9ZGML5Tnn29pHOzBj1x7d2ivfu7P/GtoythSM22LCKFryBp0MVRyuqmetNcjzpsye13XPKUshedNGSH6ysXSM3ZaaJxB6Q5+zRgOkdYg2Z8vvOU1HD5mBqNtXL5Tg/mVsoiQFCes74nFc61puWHbHmOJ8nn7JCGbPE1RRq2ZUuN3SZPcbjuLbl53TxZ2SHS0WkdPWnKwZQ8hjZd9wGHzhHSoNO0vEBafqZUlPIVCI47KCXJu7hAdjjaTPuAhrbw8ljDLmNJvWP6Z+GTVvoefZJWFEVRcsPz/L8Seju/0iv0Jq0oiqLkhOfl+bpbNeleozdpRVEUJTd04Fifk/dN2mlrgZnq8CGyT5jhVx3k8XWp9ixn7Po8oHHKEWZPJ2lRBvklPVNur0X+R5MygF0Wh1jvIz2O/ZVWF5+01em5DoSP17lmjTxGmniJXwszgnId7PP1hQfQuAHWoCesuUO037/8F6IdN2QN8EMxuXyTVHKzVU4PmXJ6mnzVxzw5biHgZT+nrOIy0WbfOLfNiPRRc/Y5f4UYFmmuxXL7HPYpc71u1rh5HMVpw+X6kB2Px33w8noYpwH6PPF+/00un7LEWUN3ovIa5fx61ynNOj1F40qMVDcaP/uUaSyLHZLnoEH5CTZfR/Q9kArSWBfS4V1an2tTfjotry2Zvf7zJ01ye/rbpIFTjfWmlNweHqcRpKyBo1TPOhJon55kg7XyZ4k+SSuKoii5oWEmfY7epBVFUZSc0CpYfY8mjimKoijKKUreT9JfSb2IaEeecln/7Iv771eUiXasReYuRwrl/CUDpJ7VfLSR2pTdTQRD2X+DHDsi9c7yQdJzynJunDyyUdreTz6SmvTASqm/tTYd10eLq9qXdUlkN8ZE3wEAfFAr9cPiiNSqYjX+V0VcXzlIH5nrQXMWN8Ma9Jn/9Z+ivfeeJ0X7SL30+fp0eoY0TpCPODDodJospztNMs/9SzXrRfvgMbk/qvpTrjFFnbfRKWTTD33+NAnSDyOUo9xqyzlqA0NFO5SSPuOQJz9f3JJ6acAlnzU9iSRCsuZ6IC0FynRA6rdcoz3c/LFoJ8uGyfVRDfhAXI4TSYfLkA0rJvu7NE7DTPuvYTcoNeDCY38Ubfbqt5lSQw67tA8M0ulB4yg8qREnSeM2Xfk94ZJv+w8YLKdb8hw3KfP/UEyuz6H+Xoi89rQ+PgcsW34vWan29dk0Buek4Lq+LIZez6/0ipxv0slkEsnk8Yujubk5S29FURTlLw7Py3N0t2rSvSXn192LFy9GaWlp5l9VVdVnuV2KoijKKYbnenn/U3pHzjfp6upqNDU1Zf4dPHjws9wuRVEURfnck/Pr7nA4jHA47Pv7x0fSCHdIKK1t8jVIlDTVIzUy67qpgeq8BmT/QWdIz+ahgzR/k5zfoV9pxUXZP96xYzR/mnKjyWeYTsu2TdndiSTphQnKte4iGAfa2qfVN6RRe6Rdi66PS/9lY4K2x/O7aL0enLUJVy6T60Gzvsc+aNagxz08U7TZZ831mn31rgmzrFz+wSGPLM1vROX2vfeh1O9Srmz/QQ578JGmSyCA7IHH3D9KemOLK89Zp1DmUCdIk3WSUqNOFZ4m2jZpth7ptT5vfVIeX6dsCLJhJ7P7mtmXnYqWyQXwq0/STz2uZ01ZCi7V2+5umVSVHem41Ml9Wds0ziFt0jlJeQeeQRow1aNmH7UTlOcgb69lkyZONQhCca7hTT5t8qIbVDOAfdzs23ZT7XvMNj4DTVrDTPoctWApiqIouaEDx/octWApiqIoyimKPkkriqIouaGvu/ucvG/Slf0tRIPtmkq/Urk4frPBvmLWeMvIF11aLrWkZJw03hD5iNvk9JJSqdWkSXNuo/6RAsrMDct2PCb1ynBUTm88KvW24hLSg7uYcKOF7fNGwyaKou0vNMpJfy2lurPJbiQmrsfMDofTCuRMx+Jym7keNGdxsw+6p6zvXTN/LNqsUbtUD5nrQXO2NOeXswY7sEAekzjlIqfI11xRLD9fQ0weM65f3ZqW2xMx5PYWBOX6wo7M6nZaa0TbZP3Sk8fHaqHtMeU1EYp9ItoGeX7jwTLRDh6S9ZvTQVlf26P9abYeEe0AZWsbXnaPLxM4QrWYI5TP7/iz2XkdFvmWi1x5DrXSMALeJ0WOrCGeMKSuH/FobIkhNe4Uec0DyUbR5nrUrimve9agoy7lldMucKjeNe8PjzRv3oed/T31Sf9FoE/SiqIoSk5oLGjfo5q0oiiKcsqyevVqDB8+HJFIBBMmTMDvfve7rP0fffRRjB49GtFoFCNHjsQzzzwjptu2jUWLFmHEiBGIRCI455xz8Ktf/Ur0aWlpwdy5czF06FBEo1FceOGFeO2118Qyvv/97+Pss89GYWEhBg8ejG9961v45BP5puuyyy6DYRji3w033NCrz683aUVRFCU3PC//f71g8+bNmDt3LubNm4e9e/fi4osvxpVXXokDBw5023/NmjWorq7GwoUL8dZbb+HBBx/E7bffjl/84njc8fz58/HYY49h1apV2L9/P2bPno3rrrsOe/fuzfS59dZbsXXrVmzYsAFvvvkmJk2ahCuuuAI1Ne3yVSwWw549e7BgwQLs2bMH//qv/4p33nkHX/3qV33bNGvWLNTW1mb+PfbYY73aB3m/7i4pDqAg2L4Y05R6Xv8BUpspHSj1yQRl2BYUy/7RErl5/U6T83N559L+nNErYd9zICB/oxT3k+tnisrk9NZGqfkUkC87Ukj6b8Hx7YsObP//wgITJUXt29Eal6+CIqS5G4b/BI8k5N/CQfqMXPKa6jcHLXkMuB40a8CsMbMGPfHJ++T0W34k56ea3z6NyqCa4RGpoTIh8tYnSJ8sCGb/UmANOkRZ3AXkmy4KZX9dl0jT/qIvJZf2ZxH51JsNuX8DrpzukqeXCThSX01b5Kum7eGsb/Zpu6R3sv7JHl8+XxyPa6rL7XMtf/YC6Dpl3Z6+ZnzZ20GQt5406gCPAzCyHyM+hh5pzi496/jyyakufcqQ1wAf41RE5qv3lIfP+zCY8d73VJ38U+DlqUl3vO7mWOkT5XAsX74cM2fOxK233goAWLFiBbZs2YI1a9Zg8eLFvv4bNmzAbbfdhunTpwMAzjzzTPz+97/HkiVLcPXVV2f6zJs3D1OmTAEAfPe738WWLVuwbNkybNy4EfF4HM8//zxefPFFXHLJJQCAhQsX4oUXXsCaNWvwwx/+EKWlpdi6datY96pVq/BXf/VXOHDgAM4444zM3wsKCjBo0KBPtbsAfZJWFEVR+piqqioRM93dDTeVSmH37t2YNGmS+PukSZOwY8eObpebTCYRicgfQdFoFDt37oRt21n7bN++HQCQTqfhOE7WPt3R1NQEwzBQVlYm/v7ss8+ivLwcY8aMwd13342WlpbuF3ACdOCYoiiKkhsnyYJ18OBBlJQcT2Lr7im6vr4ejuOgoqJC/L2iogJ1dXXdLn7y5Ml44okncO2112L8+PHYvXs31q1bB9u2UV9fj8rKSkyePBnLly/HJZdcghEjRmDbtm148cUX4XSkHRYXF+OCCy7AD37wA4wePRoVFRV47rnn8Oqrr+Kss87qdr2JRAL33XcfbrzxRvG5vvnNb2L48OEYNGgQ9u3bh+rqarzxxhu+p/Bs6E1aURRFyQ3Xy9OC1S4dlJSUiJtZNgyOcfU83986WbBgAerq6nD++efD8zxUVFTg5ptvxtKlS2FZ7dLMypUrMWvWLIwaNQqGYWDEiBGYMWMGnnrqqcxyNmzYgFtuuQVDhgyBZVkYP348brzxRuzZs8e3Ttu2ccMNN8B1XaxevVpMmzVrVub/x44di7POOgsTJ07Enj17MH78+Jw+f943adt2kerQMYuKpRZjkHiUJA06SpptrEVqNyWkYfP8PAahrVnqh6GIfJsfoGLLDcekvjZ4hPRDNh2RWlFrG2ldvRQL4l182WaH/hwwDAQ69lMsJffXaUHZbmrz66uFYcoXp+uHNdsIadDFUTndbM2u4fqytFmjJg164rr75XTSsBGkcyYg9T4vRq+GDNbUs24uCkKkb5rZNehQIPvnb0zIFQ4ukTucNf5jdE5a7DMm3TDokQZNihRni7PeanuU3W1yFjftX9K4Da7vTBcZ11bmqHMnIF8RsseXc6x96+uGnvLpeZ/xuArWnGOQ56zjUXY27SP+DAbly/t8zHQD4eW5oPVxPWnKZ7cSlC3AXzw8DqDjGDg9jF841SkvL4dlWb6n5sOHD/uerjuJRqNYt24dHnvsMRw6dAiVlZVYu3YtiouLUV7eXidg4MCBeOGFF5BIJHD06FEMHjwY9913H4YPH55ZzogRI/Dyyy+jra0Nzc3NqKysxPTp00UfoP0GPW3aNHzwwQf4z//8zx5/eIwfPx7BYBDvvvtuzjdp1aQVRVGU3Oh83Z3PvxwJhUKYMGGC79Xw1q1bceGFF2adNxgM4vTTT4dlWdi0aROmTp0Kk4rFRCIRDBkyBOl0Gs8//zyuueYa33IKCwtRWVmJhoYGbNmyRfTpvEG/++67+M1vfoMBAwb0+Jneeust2LaNysrKHvt2oq+7FUVRlNzo41jQO++8EzfddBMmTpyICy64AGvXrsWBAwcwe/ZsAO0llGtqajJe6HfeeQc7d+7Eeeedh4aGBixfvhz79u3D+vXrM8t89dVXUVNTg3PPPRc1NTVYuHAhXNfFvffem+mzZcsWeJ6HkSNH4k9/+hPuuecejBw5EjNmzADQPrjs61//Ovbs2YN///d/h+M4mSf+/v37IxQK4b333sOzzz6LKVOmoLy8HPv378ddd92FcePG4aKLLsp5H+hNWlEURcmNPo4FnT59Oo4ePYpFixahtrYWY8eOxUsvvYShQ4cCAGpra4Vn2nEcLFu2DG+//TaCwSAuv/xy7NixA8OGDcv0SSQSmD9/Pt5//30UFRVhypQp2LBhgxiV3dTUhOrqanz88cfo378/rr/+ejz00EMIBtuli48//hj/9m//BgA499xzxTb/13/9Fy677DKEQiFs27YNK1euRGtrK6qqqnDVVVfhgQceyOjjuZD3TToYNBHq0HqDwexvz1nrZ83aoSzvYJhyhS3Sejj7e6DU39qaSA8kfbaEfM+sedspeUKZNH+K6kW7TnY9MxjqUk+6Y18ZFtBpNY2nKYs8wXqqf5kp0gTTlFXt0DURMOUy22gdIZNF7ezZzJzFzT7oHn3Us5bK+cO0Pq5HTFnf9AYLkR40Ze7PsIYP0nxLaf+4PC4ilV0/jQfKRDuYPtJ9xw4c0jNN+pJLG/KcD3ichU0eXtI7A5QDzXqowdMN1lNJ8w5QVjs/OVHOtUFtAHBDMjvbTcv8b/a2J005liTsNcr+VIe9u7yBrvjqTdMx8HnLQ2WiHUxJD7BDPuYQZZGn2Uvvys/jss7v0veaLbPAO7PE3c8iu/v/AXPmzMGcOXO6nfb000+L9ujRo0UoSXdceuml2L9/f9Y+06ZNw7Rp0044fdiwYfB6CGapqqrCyy+/nLVPLuiTtKIoipIbWgWrz9GbtKIoipIbepPuc3R0t6IoiqKcouT9JN3ckobdIdkUku/Z80xqy3mbyKd82hCphx37ROb8Mi4tsPGIXF5BMdW3Js04Thp0WzNlBJMG3lVTBvwadoLqXSeT8ldjuIvGno60b2trm4Omlvb5+BdTQ2vPvzpZA22j+scBS34mh44J16NOU7Y3UlI/M8vKRdtXD5oHhpAPmjXoiY/fK9qv3/e0XFxSrp992o1SHkTczv67s4hEetYrm+iUC9MVEiBfdZz2P5/jriEXwDnO7OFNmjKrnD24SUtODzqxrNPZt2wlpV4adaUPnV3Lvmxt8uSyXsr4PL2c9d0NBmmpFunsXO/ZDpeKdisFuBcZUrN16JjwFrFvOZSS4y7sgFy/QU+HyZIq0TbJ54y03B7eftDn55reqX5D5fY6skZ3sLm9CASPlzgpaD3pPkdfdyuKoii5oa+7+xy9SSuKoii5oTfpPkc1aUVRFEU5Rcn7STrtAJ323iP1UjsqpvrKyRjlDpOltLVJajGlA0JZp8daSa8j33Jrq1wf16GtOyQVOI9EHIs06Rhp0GHycTeRL7ugQKpdafv4r8hgx7JiCQ8tsfb1HrWl1gVIgbQt3bOexznHSZvajtzmsCV/2R7zpD4WGHS6XAHlFsOiU4jrQVMWN/ugWYM+98c3i/abD/5vuXrKCo+/T5qyLddXFpLnZE8aPhOzKffZlcvvF5TnUKMtz9lE8WDR9shX3Ngij0c6RL5w0nQt8i0nrTLRdgJUP5rmt/tJvbSpmdZXKjORnRjlSielPupGKKs4SDXfY5Q7TT563/wAQH0SjXIy+4TZ+522ZbuBNGz2PdsmjV2JyGsgEcy+T91wUdbpDn2eOK3PC9MxKJDrT9k0UoCuOY+Wl+rfni9t55CL3ms8L88n6c9CKP/LRl93K4qiKLmhr7v7HH3drSiKoiinKPokrSiKouSE4Xow8vB25TPv55WTepMuIp90gHKQu9ZTBvy+ZfYdBypJjyONmDPKWePm2sHhqFxeWQn5JS3O+KXaw+STTlN2eCiUPbc5JLK72/uGggYiHfMVW9ITbFHOdkmIgroBxNPsRad9RO9KXJrOOcic/ZxKZPcpezHpuzUiRTSd6kFTFjf7oFmDPvsBmZ+75+8fFW3eR6xB8ziEAO2PJPmm2bfMPupS0qDZNx2ggt5miozckG32QVu29D37ahGT5sz6bIByo9MR6aE12o7R+uT2uAnZNuOkKVs0xoA06p5qHTNGKub7m28Z9IqU88bZqx1Kk/ebsrWtdPb8Bb7KTEcecydEGjRhpCk/3ZFt3ucO7VPPpqxum65BZJ8eaDvcseDPIrs7z9fd0NfdvUWfpBVFUZTcUE26z1FNWlEURVFOUfRJWlEURckNfZLuc07qTZpjWVkjjpJmzdnZFPPs06hdGnRgp2Q7EmVfspze3Cg1miTVi+5HvuxUgrQw0tg529shjT0S6flFheN6SHfMZ7ty+wdF5foPtfiXF3fkIYyYcp/FySed8uiQu36dW2xfk9QwjaisdduT5sjTOeubNW72QbMGPf6fbhft5it/JtrHklKvKwnI9XHee9KlbG3SzEzSqFNpzqen2r7kE2cPK9dbDicPi3aMsrJZA2Z9NEi1hFNB6Ts2yCvrReT+SUf7izbI1+6rL021kN0COb9PPyWPMJ9vXoizAfzLsNJ+3Vr0J803bZJGbUudnveRRy8UWRP3adB0DpmJ5qzT+Rj6rpluamqL+XkfcVF0+h5zwu2fz3G4tnj+GJ7ryyrv7fxK79DX3YqiKIpyiqKvuxVFUZTc0NfdfY7epBVFUZTc0Jt0n5P3Tfq3/ach2KFbeQnpP/Ri5NN7t0a2+1XK/nHpbzTiUuvhTFuzn8wZdus/kfOThxO+zFzSeg5JDcfn4fTpi1LD9nlGiwfK2ZtqM/9/ZnwwLgHwRsmX8V7/swEAgTOlvnckRp5a0gsBwCyUGnGTTTWxSeO1j0oNlDViq7hMtL9Us1603/tQarIDC6TGGCLdPkhedpbTfPWg32efN40rIA265D/+P9E+8NDzcnk0MMIMymNoN8tzLlgq9cp0K3ly4/IcD/Yrk/3byOd8qBbZaB48Uv4hSeccnWMuDfxgDd9LkgeYs9WPymuQax279CXqcbY26akG6bGsgRtJuqZJk85Fo0yH5Dawz5hrdPu85VwxmtbJY2e4fjPX7E4Fpdf/y4M+Fu36JvK+k1m/5DTZbmghr77NeQ3ICo/l6VxdIp3Gr7LPqvwZkPNNOplMIpk8fgE2Nzdn6a0oiqL8pWHAg4E8EsfymPfzSs4DxxYvXozS0tLMv6qqqp5nUhRFUf5y6KyC9an/6U26t+R8k66urkZTU1Pm38GDBz/L7VIURVFOMTotWPn8U3pHzq+7w+EwwuGw7++enYaHdk3IbZP6FsgDa3IucYI0YzZa8wHlOq7H6rJvdA8eYDikj7EGzR5f0vfMeCNNJ3GI/I/CM2t26GRWIKM1e2m5PU7TUbk5IfKcAjBCcp1eijyjpGubYel7dXrwLR88Rj5r8nLHbfkZEz3s8khA/pKO21STu4d60OyDZg167LzrRfutJS+Ktkf1sE3afwYFwruUXR4okfqom+xlPjKf05RdbkTkGAPeXg5j9yhrm2sx+z4PncNcO9nn4aX60Gaz1NidYjkuxOfLplrJBmng6SI5bgMATBrbwW2XveTs5bazZ3Ozd92kbXZp7Adr3KyBs6bcGJfXTIS+ZQv9l7GgRZ4SGCB3IVJ0ytl0zXXmLiTT+tT6l4CO7lYURVFyw/Pye2Wtr7t7jd6kFUVRlJzQxLG+RxPHFEVRFOUUJe8naTMShRnq8EmzvtnWKNpuYbloG8XSF+zFyWdM2bNGlDJ0WTMmj6nHv9rYM2qSf5Iyg336HGlZ/Hl8/stCqfd5XerMdubxWtECWIXtn8ul/Wewj5tNxoDv9RFr1AZlNbttpPcVUP1n0qSr+svl/0HarJFypP5WEJT9C0K9e73VUz1ozuJmHzRr0GO+f42c/uOfizZrvm5SLp9xYlLvtArlMfI9KfQwrsKjcREgn7NBYwhYg+b5jQD5nJOU3xySyws0y2wBz6D8+26ytbtittG4Cc7mpjZnj7vd1JO2Eo2yD2nQvI/5DON60w7V4Lao5rbBWdtUY92ksSVOILuozOdsP/raomEC/rr1NG4jQnXsE1SzIExfa539A+nP4hnMRX41ofVJurfo625FURQlJwzP8/2o6e38Su/Qm7SiKIqSGxoL2ueoJq0oiqIopygn90maNVPSgA32dKbII2pmr+vKPmqzSIo9DmngID3PaD4il1/YT7YpJ7nX0Odljdzooh8aHVqoE4/B6dCJzQhtb5D8mfR5AMBjb7nPVysFMIOynp2mBrkO2gb2ZDIVxdlfX3FuMZ8iRY7c/raU7B/gU4Br+VIWN2vMrEGPue860X7zwf8t2k6CxgXQMQ0UZ6+nbXCb6zPzGIICysYmjdmXxU2YPO6Bjz+f05Rl0Fl7+PgC6HxizzD5nnmcBiirm6f7ajN3Q7qAxq6Q75m/F1jDZg3a9NVVlvPbYblNnA3u8klL+ygaludsYzz7NcFvfMMUyZ+gay6e9Gg6adJBuf765g6ftHPyXy1rLGjfo6+7FUVRlJxQC1bfo6+7FUVRFOUURW/SiqIoSo54J+Ff71i9ejWGDx+OSCSCCRMm4He/+13W/o8++ihGjx6NaDSKkSNH4plnnhHTbdvGokWLMGLECEQiEZxzzjn41a9kUc+WlhbMnTsXQ4cORTQaxYUXXojXXntN7gnPw8KFCzF48GBEo1FcdtlleOutt0SfZDKJv/u7v0N5eTkKCwvx1a9+FR9/LEub9kTer7udY4dhduQFey3kmUxLLciKS/0z3Z3vt+vGNctsboeW5zbIHGFfrVrSojhb24hJfY63j3Fpfq47mya9zQtQ7nHquNZlJDr62smM7sgvgryY1Pcc1hsBn07POjZrpp2e7BP1N8LSA9pGtuE0nTINMbmPHfKYhqzsF6Xjyf5tabn8JGnWSTd7PWjO4maNljXosx+YJtpvzNso2uxdT7PkGqF63Y3H5Pp78DX7fNEFPWi+nL3dfDTrdNa8OZ+erwmuL83588G2Q6KdDpeJdighP79PDaacbIfrVQMwSdfmrGzWhD2DsridBE2X4zKCafJmp6hGd1BeI4EUb4/snyKNOEZ59M0xuQ/7FclznuPf2WfdQhp3aYHswNndJR2SfE85+p+GvtakN2/ejLlz52L16tW46KKL8Nhjj+HKK6/E/v37ccYZZ/j6r1mzBtXV1Xj88cfxxS9+ETt37sSsWbPQr18/XH311QCA+fPnY+PGjXj88ccxatQobNmyBddddx127NiBcePGAQBuvfVW7Nu3Dxs2bMDgwYOxceNGXHHFFdi/fz+GDBkCAFi6dCmWL1+Op59+Gl/4whfwwx/+EH/zN3+Dt99+G8XF7dfx3Llz8Ytf/AKbNm3CgAEDcNddd2Hq1KnYvXs3LDbMnwB9klYURVFy4mRVwWpubhb/kicIEVq+fDlmzpyJW2+9FaNHj8aKFStQVVWFNWvWdNt/w4YNuO222zB9+nSceeaZuOGGGzBz5kwsWbJE9Ln//vsxZcoUnHnmmfjud7+LyZMnY9myZQCAeDyO559/HkuXLsUll1yC//bf/hsWLlyI4cOHZ9breR5WrFiBefPm4Wtf+xrGjh2L9evXIxaL4Wc/+xkAoKmpCU8++SSWLVuGK664AuPGjcPGjRvx5ptv4je/+U3O+1xv0oqiKEqfUlVVhdLS0sy/xYsX+/qkUins3r0bkyZNEn+fNGkSduzY0e1yk8kkIpSyGI1GsXPnTti2nbXP9u3bAQDpdBqO42Tt88EHH6Curk5sWzgcxqWXXprZtt27d8O2bdFn8ODBGDt27Am3vzv0Jq0oiqLkROfr7nz+AcDBgwfR1NSU+VddXe1bV319PRzHQUWFLIdaUVGBurruyxRPnjwZTzzxBHbv3g3P87Br1y6sW7cOtm2jvr4+02f58uV499134boutm7dihdffBG1te3yaXFxMS644AL84Ac/wCeffALHcbBx40a8+uqrmT6d68+2bXV1dQiFQujXr98J++RC3pq0UVAMo1OTJs3Y5/GMSb3K6CEr2yVN1+McYdK0Da5Pnc6ew8zalkO1dVnj5v52cWXW6ey79pzj4pPXWaPWtI7riGxPoOxuM+rPUfb9jTRYz5aCF2usrHuzLm6zbRZU87oHDZpziEMB2b8puw0YlkG+aNrCYClprlw/mV6jsQ+aNehzHvpb0WYN2whmv2RC5bI+cvyIzMY2SwfIGYrJq0/Hy+eb5mwBznfnc4j6s8Zt0jgMri9tFMntSxmj5PLsJE2Xx5drN3OWd3fwPA59DxhOdo06HSwTbTMt90EiKo8R+6LZh82+a5eyux1XBtqXhkmzTst9wtnbjivbTQm5/mJa3jH6muNrLN2Rp5/sZghLvhjIz+vcuSdKSkpQUuIfj9DtPHxOeZ7vb50sWLAAdXV1OP/88+F5HioqKnDzzTdj6dKlGQ145cqVmDVrFkaNGgXDMDBixAjMmDEDTz31VGY5GzZswC233IIhQ4bAsiyMHz8eN954I/bs2fOpt603fbqiT9KKoijKKUd5eTksy/I9dR4+fNj3BNtJNBrFunXrEIvF8OGHH+LAgQMYNmwYiouLUV7eHpIzcOBAvPDCC2hra8NHH32EP/7xjygqKsLw4cMzyxkxYgRefvlltLa24uDBg5nX5Z19Bg0aBABZt23QoEFIpVJoaGg4YZ9c0Ju0oiiKkhMn63V3LoRCIUyYMAFbt24Vf9+6dSsuvPDCrPMGg0GcfvrpsCwLmzZtwtSpU2HSm9dIJIIhQ4YgnU7j+eefxzXXXONbTmFhISorK9HQ0IAtW7Zk+gwfPhyDBg0S25ZKpfDyyy9ntm3ChAkIBoOiT21tLfbt29fj9ndFE8cURVGUnOjrKlh33nknbrrpJkycOBEXXHAB1q5diwMHDmD27NkAgOrqatTU1GS80O+88w527tyJ8847Dw0NDVi+fDn27duH9evXZ5b56quvoqamBueeey5qamqwcOFCuK6Le++9N9Nny5Yt8DwPI0eOxJ/+9Cfcc889GDlyJGbMmNH+OQwDc+fOxY9+9COcddZZOOuss/CjH/0IBQUFuPHGGwEApaWlmDlzJu666y4MGDAA/fv3x913342zzz4bV1xxRc77IO+btJe2fT7EDJxjTHqiT2Pm2VOU9c0ZvGHKLQ5K7QqNpJH3VBs33ij7c91Y1tfYk8q1fUmj76pxG16HYOS6Ga8z13Z2YlJ84hxpwK9heknyiPbSR83r6OlVSyv5mgvQk+aYvRZujDyn7KM2SaNOt1LOcoI0WII/H2v0PfmoOQvcCMjl8fb4NGiuJ031u301zWlcg8FZ3KxB0zlqUBa7y957S+qzfA24NM7DbJKv99wCqVmzr5qVN7dA7g/D9teT9nn7KY+Av284v8CXl0A+a8OXJ07edB5bwl51qkNv0UUS8GUDZNcfI5S9HT6Bxnyi9bGvOuXI//45M336dBw9ehSLFi1CbW0txo4di5deeglDhw4F0P5keuDAgUx/x3GwbNkyvP322wgGg7j88suxY8cODBs2LNMnkUhg/vz5eP/991FUVIQpU6Zgw4YNKCsry/TpHMz28ccfo3///rj++uvx0EMPIdjl+/Pee+9FPB7HnDlz0NDQgPPOOw+//vWvMx5pAPjJT36CQCCAadOmIR6P48tf/jKefvrpnD3SgD5JK4qiKDliwPU9bPV2/t4yZ84czJkzp9tpTz/9tGiPHj0ae/fuzbq8Sy+9FPv378/aZ9q0aZg2bVrWPoZhYOHChVi4cOEJ+0QiEaxatQqrVq3Kuqxs6E1aURRFyZH8Esc+TSzo5x29SSuKoig5YaCnl/c9z6/0jrxv0oHSfgiE2nWvtE0aMGlL6UiZnJk0ZPZ8uqzHcT1l1uc4F5lgzRglpBfGsmd3e0GpURtJ0sqoPjV7SN0uWpcXbP8sRjiSqeFsUMINSJPudpvY98y6ONUDZl+12ybXYRVLnT9Behhnd0cMuf6ikHyd1ZiQ2kupKaezfhdz5faWBsmHmyY9Mi6N1gHyXjoxmk71oDmLm33Qva1HzT5tf7Y6XXJcbxrse8/u1edrwqdBx7vRfLPgBWn9rKGHqJ4267Xcn/VirjfdjV+089rItMnnzBox+5wth7zxFmXop6k+tUnHwDf2hMZxkE+7IEI+aDt7VkBBmHzY5JO2aJcUhOR0t4eH0WiwvYNp6lPrXwL6JK0oiqLkhGF4MIw8RnfnMe/nFb1JK4qiKDnR11WwFA0zURRFUZRTlryfpN1EDK7T/uuIs7tBtXQDiUbRtqNlou21Sk3YbJO1ct0i6enkXGGfZ5T0MM7S5lxjL0q5xazvkocU7KNOUW1gzl3uomlntsU0gQ4dk/VhsMZvc3Vev8bMPminSW6zbx2E09os2hHSjKPkVS8IZjdjDi6Rx4T1tHhKCnD9SINmzdrz5D4N9iuTy6fivFZhdo2V60Ez7IPubT1qzq/3OMzB7cGSQtN5zIHXVC+316Frwre87OM2eNyFvwNtLy3PtOXndUjPZb2Za74D/nyETKZA5yoDUhd3aZtcytrmbXZJV+fvJTjyGHFWuEHn4JGm7Oc4+5p52MLRluy+6gCJ1HHK/i6h+tKJjl3qfgbDtPRJuu/R192KoihKTuhNuu/Rm7SiKIqSE2rB6ntUk1YURVGUU5T8s7sdF57ZvS5pFMhM3HSyP81Mnk/KLfbVc+Z1c84x5SBzHVn2aBq8/h7W54Tl5/H5pml7ONu7ay6ykSxr75NOZ/K3TfK4mkXS8+s5/v3stDTJP3DucaHMA2ffrM/XS5ViWm3ZbnGlxht25D5NpGX/oCW3uY00aJZoG205biCQlsfIMqh2cFt2H7DvGNP+sRtljXOuB81Z3Ly/eqpHveuWH9H66VmCltfdMRbzc3ZAkRxH4bbIcR1GAdXsjcpz2GyokfPTOBHOOvfC8nxin3e67PSs082WI3L53dR8d4qpjF+rnCdANbAd8nZblAfu0NiRQFwec/ZVpyLye8rqwVfNmvBhOawDhTSuoi0u24VhOf+hZqq5HiON3OA8e7m+cMfmeZ/BY6tasPoefd2tKIqi5IQJD2YeunI+835e0dfdiqIoinKKok/SiqIoSk7owLG+J/+btOce15a5DivlKkdaPhHtlFMu2uyxDNiUjR2TnlbPJg8s64+sd9F0h3zXZkKKSVZStlmzDjR8KJcXIr2Oc4u7bE+nP9RraYDb2K65Gf2lFsf6olns98By3nm69iPZgX217Nslrzio3nBtYKhcXKHUNJ1WqWlyUfdjzdl1fteQp2CieLBom+SZ5Vxl91Bt1uX7zgnOyiYvf/yIPEd99aDZt0z7kzXoievuF+3Xv/+UXByPEYhIjdqnCZNX3ueTD8lrxCri4yX7swJuksZtUjZ4ms4XPidd8m2blI/vck10o5uXeXzOnnamaKfa5DgMzktw+Jzm657OUaro7ctDt+kY8znwFp2DnG/vJageNO11B5RHT/WyDTu7l74mLpeXNtq/d2yHP1n+qCbd9+R8k04mk0gmj99kmpubs/RWFEVRFCVfctakFy9ejNLS0sy/qqqqz3K7FEVRlFMM8yT8U3pHzvusuroaTU1NmX8HDx78LLdLURRFOcXofN2dzz+ld+T8ujscDiMc9uccG4HAcZ2P9SXS/9iv6BaQb5r8kK5DWdtcqzYiNWAjKfU9l3zNJteyJdwI+ZJJU+bauazn+T4PZwZ3nZTJD/Yy/Xy1nhOkH3eT88wDMdgX65LGbIQiWdtcozuUkvpfgvaJyZ+RfdqUuxwPlMn5Xamb+fY5SJMOZM/a9mVL8zlDeiRnYfs0aJqf60Hz8tjDyhr0uUtmZJ3OPmnODmc9lDVtnt+3PL5GuV61b3+Rps/nC2FEKFebzz/KFvBaZD4/AF+deb7ujDI5doPz6j36HvAdwxBl+vN1xTWy6XuMj0HSoKxwshmxxlzoyWuqBfJ7zDHk+oJeIut0djV1XoN8LZ4MDKPbEuC9ml/pHfr2QVEURVFOUdSCpSiKouSEhpn0PXqTVhRFUXIjz9fdapTuPSf1Jm1QPWiu3+yRNtNTbVvTpXrKrBXx2UJZ3Rb5nk1X+qYdg3zSVL/asqUe6gSl3mZ2kzssIL0ykGw8/v/xTv3ZyGhm6Sa5/3x+UX/pXXhmdsWCfdSs1xmN5DM+bbhohlgPS0o9zfKkplwE2sd0VQbTctyBRQNJGltIPyRNO5w8LNrNg0eKNpKUn841wTnLmj2w5Pv1KA++J32Ss7hZM+5Jo959+0rRNqPynHNaGuXqistE2wjKay59pE5uH+uUtjxeXpyzymmcBtWMZ0+xT//l85PHDIRYz4WvLrvvGBC+jPzmQ6LtllAWOO+DpPzMoO8xkM5ukLd+SEj2b7XlOdDqys8YMOU539+Q31PHXLnPg+TkLoA8x0OUj9/itOv+Zg/fr8qfB/okrSiKouSEafgLevR2fqV36E1aURRFyQmNBe179CatKIqi5IRpeDDz8DrnM+/nlfzrSadS8Lx2jccj7YbrO3MWt+NITypnY7ukQXOOs88HSD5sGNKj6VpyuhkjDZ181Q4vnz3BQak1sc+atS/bOq5npiMd2qdpHq/h3I0PWqye/Z8AwNnNrIlylnL/QXI6a7a0+DhpkqnC00TbapEaZbMhPa5BL7tunzSlRzQdkseAawPHLPLQssbO5yBrzj6NmmqE26R/co1wUF484fMlR7LXi2YNesKj3xNtrldtDJD730uRRkzHP9Bfjrtg773TQLol5++n6Pixj5qz4EmvNQplFrjXJMcksN4LwO+LpmWAdHcvLr9XXMrkZ3zXEX3veJQFzucQ15GvSZXJ7kHZDtlSc7bpmmgjzdqjfZww5DmX8uT2trr0PdUxVsf+DHzSSt+jT9KKoihKTmiYSd+jN2lFURQlJ3TgWN+j70MURVEU5RTlJGjSSXhe+88j9g+yT9o1OZdZwjnOpiv1O5s0YNaGGCcitSyuL+0WkibO+qNFntgeNGquH82eWbNLNnnnthim5asZfHx+0ua68z1yFjWNA2AfqxfLnl/OBFy5T2zahw4d0wB50V36HeiYcp+yD5r1OJf6+44Je/FZE+bPzxo1e+85y5qW75vewzgCPracxc0+aNagz3nob0X79fufkasnX3OAxgw4rT0cb/Yp+7LK6fOTT5rPUd90wqcvh7vR+NuoeI9LPmVLbrPBNa15nVyTm+tRF8vvAfaCszfeiMpxFN5huc/4e4yvEcOV12wyKMd98DURdOQ1yDXYTdKofXkUJxF93d336OtuRVEUJSf0dXffozdpRVEUJSf0SbrvUU1aURRFOWVZvXo1hg8fjkgkggkTJuB3v/td1v6PPvooRo8ejWg0ipEjR+KZZ6REZNs2Fi1ahBEjRiASieCcc87Br371K9EnnU5j/vz5GD58OKLRKM4880wsWrQIbhd5yzCMbv89/PDDmT6XXXaZb/oNN9zQq8+f/5N0MHTct8i1Z1PSj8hajUFZ20HyUbPHNsV+Rqo7a7TK7O1gTLY5CzxJtYmDbVTPmjVmrh1M6leaPaSkmZtOssv/t2+Ll4xn8pJN8uyyluayBg7As8knS/oZa7zgLGXS5zgL3GDfLI0LCMU+kdtIelgAVK+Za/FaUt/jvHQ3INfXdR8CEBdN+wLoGNA4CR+sV6bkOWmwJs37g33XrJHT8WENm7O42QfNGvS5P/qWaO+9c61cH/mmzZA8x9MNVL+ZNHw+P9hX7evP5yT7nvmacPk7Qu5vAPBItzZo3IDH28TnbE8adAlp0DHpY+4p29ujvPOIJ7/nko78nrAtqbsnPHmOWI48Zg5977BG7Zhhasv+Yaf9e9T1Tn52d1+/7t68eTPmzp2L1atX46KLLsJjjz2GK6+8Evv378cZZ5zh679mzRpUV1fj8ccfxxe/+EXs3LkTs2bNQr9+/XD11VcDAObPn4+NGzfi8ccfx6hRo7BlyxZcd9112LFjB8aNGwcAWLJkCX76059i/fr1GDNmDHbt2oUZM2agtLQU3/tee5ZBba2se/Af//EfmDlzJq6//nrx91mzZmHRokWZdjTaTV59FvR1t6IoipITJvK8Sfey//LlyzFz5kzceuutAIAVK1Zgy5YtWLNmDRYvXuzrv2HDBtx2222YPn06AODMM8/E73//eyxZsiRzk96wYQPmzZuHKVOmAAC++93vYsuWLVi2bBk2bmwfuPnKK6/gmmuuwVVXXQUAGDZsGJ577jns2rUrs65Bg2Qw1IsvvojLL78cZ555pvh7QUGBr29v0NfdiqIoSp/S3Nws/iWT/mTCVCqF3bt3Y9KkSeLvkyZNwo4dO7pdbjKZRCQi32BGo1Hs3LkTdkea4In6bN++PdP+0pe+hG3btuGdd94BALzxxhvYvn175sbOHDp0CL/85S8xc+ZM37Rnn30W5eXlGDNmDO6++260tPTSYdOr3oqiKMrnlpM1cKyqqkr8/YEHHsDChQvF3+rr6+E4DioqZKnRiooK1NVRCdYOJk+ejCeeeALXXnstxo8fj927d2PdunWwbRv19fWorKzE5MmTsXz5clxyySUYMWIEtm3bhhdffBFOFynn+9//PpqamjBq1ChYlgXHcfDQQw/hG9/4RrfrXb9+PYqLi/G1r31N/P2b3/wmhg8fjkGDBmHfvn2orq7GG2+8ga1bt+ayuwCchJt0pxgOAG4BeSDt7LnNXpAyaUNyfpf0SZM0bpf0MdOWWlWafNKBBNWJJe0nHZV+S5+v2ue79utpYrov99n0/78VyPgwOTfap711A2cre7ROq5/UON1W0t9Y1ydNNRHqL/uzjxbZA/N5etqQyw86pOdZZXJ+GofA4xYc0lxZg2bN2CS9022WGi3X3/aNs2DfNWWjG0Vy+SZlq3N9aa4HzZoy+6BZgx63/Dty+t1PyOUXSI040E/qsenDH8j10/701d/mz89jIshXbQTJ1+7JJxgeA9DtOqmPryY6jzvgPAH6XvKtk8eaFFINbda8qd50mr5GucZ6KH1Mtg25fRFPTm9y5Payph1yyBtP4z4sdH4vnnxN2shTk+68SR88eBAlJcf3czgcPsEcyNxfOvE8z/e3ThYsWIC6ujqcf/758DwPFRUVuPnmm7F06VJYHbkVK1euxKxZszBq1CgYhoERI0ZgxowZeOqp47XeN2/ejI0bN+JnP/sZxowZg9dffx1z587F4MGD8e1vf9u33nXr1uGb3/ym7wl91qxZmf8fO3YszjrrLEycOBF79uzB+PHjT/iZu6KvuxVFUZQ+paSkRPzr7iZdXl4Oy7J8T82HDx/2PV13Eo1GsW7dOsRiMXz44Yc4cOAAhg0bhuLiYpSXlwMABg4ciBdeeAFtbW346KOP8Mc//hFFRUUYPnx4Zjn33HMP7rvvPtxwww04++yzcdNNN+GOO+7oVgf/3e9+h7fffjujm2dj/PjxCAaDePfdd3vs24nepBVFUZSc6Hzdnc+/XAmFQpgwYYLv1fDWrVtx4YUXZp03GAzi9NNPh2VZ2LRpE6ZOnQqT3ohEIhEMGTIE6XQazz//PK655prMtFgs5utvWZbfTQLgySefxIQJE3DOOef0+Jneeust2LaNysrKHvt2opq0oiiKkhN9bcG68847cdNNN2HixIm44IILsHbtWhw4cACzZ88GAFRXV6OmpibjhX7nnXewc+dOnHfeeWhoaMDy5cuxb98+rF+/PrPMV199FTU1NTj33HNRU1ODhQsXwnVd3HvvvZk+V199NR566CGcccYZGDNmDPbu3Yvly5fjlltuEdvX3NyMf/7nf8ayZct82/7ee+/h2WefxZQpU1BeXo79+/fjrrvuwrhx43DRRRflvA/yvkmb0QKYHd5Zt6Uha990QGorXH/ai8v5XVN6bp3Cclo5eTqpHrRB/sN0lPyRUeqflKPuvMCJdZL2FVLudLRMLo/04a71p92OZVv9KxA4rf1zsn7K+mV3sObppUkz5HrA7GvlNmnSgTRpvEmpMcapdm7AkTq67cn+AY+86uSTdsgXHUhJDT1FOce+LG7yphsB9jWTz5ezp3l/cG3jCOVGO5QbTdeAwZo5Z4uzhsv1oCmLmzVr1qDH/eOtWaf7zocBcgAPZ4lzf9bsWXP2Lb+nbPPusrvZS03bhBAd437y1ad7jAYV8dgYOsd9eeJprtFN50i53GdO43uinQjLcRwWjV0x0nIcRNKQn8c1OOtAnhPJgLxmjLT83op31Gi3SRs/GfT1TXr69Ok4evQoFi1ahNraWowdOxYvvfQShg4dCqDdq3zgwIFMf8dxsGzZMrz99tsIBoO4/PLLsWPHDgwbNizTJ5FIYP78+Xj//fdRVFSEKVOmYMOGDSgrK8v0WbVqFRYsWIA5c+bg8OHDGDx4MG677Tb8wz/8g9i+TZs2wfO8bgeUhUIhbNu2DStXrkRrayuqqqpw1VVX4YEHHsjo47mgT9KKoijKKcucOXMwZ86cbqc9/fTToj169Gjs3bs36/IuvfRS7N+/P2uf4uJirFixAitWrMja7zvf+Q6+853vdDutqqoKL7/8ctb5c0Fv0oqiKEpOaHZ336M3aUVRFCUnTMOAmcedNp95P6/kfZN2Go/ADHRoKpRxayaknhi2G0XbO3ZAtIMpqa0EXak3um3Sk5rmjN6Q1LdMSnbhHGsjRrnVpEGzT9pIyc/HHl7OKvfVKhZ6Z7s302k8gnR9ewasVTaQ5qfB95wDDX/9aK4XbXAeOLV9OcWki6cDUg90yoaIdvDQW7I/1frlXGE2FDgBqglO25OOZPeu+2puk9bjJbk2MOmRPXhyWYPuaZwAL88qkvubNen0EamfBvrLc4DrQXMWN/uge9So73lSbk/dh5B/yO4Ld7keuUn6KPusKUuez+nusgDMQtpnPeXT+8Yl0DaQ5uzFpdeez3mTvOtuknzVdI44pCGzBu2rGWDIfco+aK6I7cvutuQ1Ew/SOd9RbzptnHxNWul79ElaURRFyQl93d336E1aURRFyQnT9L/g6+38Su/Qm7SiKIqSE31twVJOxk26+RjQoeWaKan1BBJS8y0GaUFsXyRfX1WB1IA/Ijkw2cgZuVIvY62HtZ006ZtFqcOinTCl3sf1ox1TakOWnb1+doF7XKMvTrRro0ZbA4zm9jrWXrHUX72jNaIN8nUD/qxuxEkzbJI1sr0iuQ7W41jjdQoou5tIB6UmyTnInin1OpfqUVtJOW7B7ic9qEabzDX2KBsXtI9c9rSGqHYr1xbuYRyBT4NlOCeajpHTSucgjwGgtq9+M8H1oDmLm33KrEGPe1hW6Xntxnlyc8iT7PMIEz59l/vzGAjfAvw+aufYIbkN5KX2bHkMTbpucOQj2R44NPs6qe3Uyfl5HIcvz4DyHPh7xuVxGWzFZ826VG6vQd8rPC7Dou8Ap1Oz13fLfxHok7SiKIqSE10LKn3a+ZXeoTdpRVEUJSf0dXffozK+oiiKopyi5P0kbbXVw7LaNZCy1CdymiH1yaFlUss53Cq1pYQjtZ1B/eTPriNxqb0Uu1KrSVPGre2QhxhyeTFXfvxii+rWOrK/bUj/ZXFa+rabQzJDuMSRenDX1VudwpTnZjQxt1H2DzVKbSxljoCPbjS9roSbpBc9TV7zkC014Xi//ybnb/5YtO0keU5JU/VlfdMxCVCN8KgrNd+mZqn/WdQ/HZUauUnjHrjmd6BZnpNOmLK/qaa4SfnxjkXe9R4wG6RG7nAHHgNAudJOA01nTZ191lQPmrO42QfNGvQXf/aQaO/5+0dF220jTZ7ON2vAILl5hw7K/uxjZ9805XADfh3co3EEnO3NXmuP8tsDB/+vaKcHDJPL4zwD3kby1oPGKQQcqjtvZM9l9o9toXOQzmm+xngcA19jnf29z+LVsumPVujt/Erv0NfdiqIoSk7o6+6+J+ebdDKZRDJ5/Bdjc3Nzlt6KoijKXxo6cKzvyfnlw+LFi1FaWpr5V1VV1fNMiqIoiqJ8anJ+kq6ursadd96ZaTc3N6Oqqgqmm4RptGssNqSWkybPrEFZsmlX/qqKWFJva2qT8xcEpF5Xb0uPLmvOFimCAVBGL9WD5h953N/zZIcEZfAGbekZbYP0nBZC6qsdC4XRofN5pMWlBpzl78+wfkaaZYrrEZP+liSPp0ee1GTZMDmd9DmzVerovD72dHrkkyarPLxSqg2coH1Gn9dlTb4HvY411Z40bTPeKGcPkmeX9E+XaoqbRVSrmLcvTp+vh8/jy76mrGyuB+3L4qbprEGP/6fbRfv//sNzos1Z4oHSMtHmrHL2hXu0PW6b/5owyAvvcH441ew2i2icAe0Tp1h6yVnzZp2c9xHn45sDTxftOHntuYYA15XncQ9umHzYBWVy/qRcvsv5841y3Ejn8ty0P+s/X0zk+br7pG3J54ecb9LhcBjhcLjnjoqiKMpfJEaeA8fyGnT2OUV3maIoiqKcoujobkVRFCUntJ5035N/PelgIcwOr2mS6yuTH7CZavGmXPI1u1KDrmmW7ST5mlMWaUd0ArB/MW6VibZLHtnDtlxfOiw17yB5ij16EWGHpDZmsL6YOr78BDp0N9dp/wf43wWRtoZ0N/VhOSuZ9CrXoWxt0lCdQqrXTL5Vo1X6qj3SRAOU1+46pIPxuATyPbsW6YcxuX4zTp5R0rS9CNWDplrCadIHfRo+j0ugbHM3QdnUPbyvY73TJD2VNVnDIj2VsreNIB1P8gRz/Wrf/LR+3j72QbMG/T8WfUO0WcN2qNYy19sOllH2OxnHjSAdDwBeSp5DJtX05prajBElzZnyzXkbeZ/x8vmcB9UsZ43Yd45wPjuNe+BxDTw4htdvkNbs8DXQOe7EzJ6h8GlQC1bfo6+7FUVRFOUURV93K4qiKDmhA8f6Hr1JK4qiKDmhYSZ9T943aS8QzuQfBylb2zXk4uNpeYAMSL0yRBpKRbFs17VQrWKnUa6P3t47kNpRkDy7TlpOLzDk9ttJqUemDPLE0vkWTEl9z6L62EHvuJYUQPu0gN2CQLKxffkJqZ1xrWKD/J4A4LXI+sL8U9VMkI5Onk2LfMJOVGqygbhcfop8wFw71yRNmmvl+nzL7KOlfe5Z5GFNU/1s/rzNtcgGe1KDbbJ2ccoYJZfXVCe3J5Tdh+zROIZ0Sm4va/4ee1n5UYOnkw8erDmTz73HethcS5l80D35qLleNWM3ynrgPt80Z5kDMKPyM/A2sbecz2mDNWIet8E+adKYnZZGuXw+hrR8ztj31VCnNmcVBGJy3Ec6UibX10M+v5WQ2+uE2s9xg8eHnARUk+579OWDoiiKopyi6OtuRVEUJSdUk+579CatKIqi5IT6pPuevG/SZrINptWufZjkizY9qYmUF2b3QVsmac4ea9ay3UbyXJo+DmdvcztlSn3QdqWGzJp5xCOftye1KdukjGH62WjQ5wGAdLgM6WiH1hwhvZP1yG60Kfb1+vS6EPmkCdbHOJs7HS7Lug2ORRorZYHTLvd5090A6fzk+TRIo3YLpO/WIM3dKZbZ32Ybafb0eX2fj+o7uwVy//pqD9O4AfZhm8U0P8E+Zi8pfdA+PZU1cFueIz7fsUn59nG5P7keNGdxsw+aNehxD8+U0+9+Qq4+SvWwKQvBTXF6u9/L7YN9w+wzZl8z6d5mgdwnLn1GzgJ322jcA2vmQVoeefnRU83yAPWna8Ljc4xweX7lLwp9klYURVFyw/AXIurt/Erv0Ju0oiiKkhOm6X9R0dv5ld6hN2lFURQlJ9Qn3ffkfZO2nESmbnOhKbUd9j0PKKGsa9KKgpY8gAPLpL6ZsOXyWtKyXWhSPWdHakFFAak5p8g3HTRI5O4Bl3zY7ItmIubx6WGj47O7acDp+Dtp0EaC/aDd6HestyXJF8saMWHZVKvWKT1Bz87l9XDKkA7vsL4W6KHcKWVve6zrsyeWjqGvzXoe7Z9QQvp4U/wl4nLYNOmTttSQ02Wy1rDbJD2wBo87YN8w18/mcQk0P2d7+7K7Oeea9F7n0EE5mepBc841wxr0uH+8VbTfWPCsXH6B1E/Tx2Q9cgAAacKsKXP9Z/7McEm3p33otspxDDyuwOP60qTzs4bt0TgI39iREI1VIf8y588bBVRfmmuOEy5fk5316dP+XHTlzw99klYURVFywshTk9YH6d6jN2lFURQlJ0zTgJlHbFg+835eURlfURRFUU5R8q8nbUVgduQrt6ak9hIhn3RDi2wfi0m9tDBIWk6jbB+OS/2tDdKvmCKth7O7GyirOxGQ2o+ZljnWSfI9W+Sjdky5PQ77IUnrau7iEW3zOpZtBoCO/efPdSaNO+jXc72U1EQ98vWa8UY5nTRiu2AATZefwYpJn7FHelngiNQsHfKOc7a3yz5f1pxj8hj4NFvyxBqkMXuUze3zmJJ+x+nG7Bvn3/2excecdD/2SZdQLWPK0jbY81vYw5gA3l/siyY9lvVb0PHz5VjT8rkeNGdxsw+aNehzfvBN0f6/CzfJ9UX8Hl/+TGaU6saTRs15CuxjZl2ds7rZN+277igvnfunj1FePMdq2dnHSXCNcf58nBXA+fDgPPtO3JOf3W0gz9fdn2Ke1atX4+GHH0ZtbS3GjBmDFStW4OKLLz5h/0cffRSPPPIIPvzwQ5xxxhmYN28evvWtb2Wm27aNxYsXY/369aipqcHIkSOxZMkSfOUrX8n0SafTWLhwIZ599lnU1dWhsrISN998M+bPnw+z45q9+eabsX79erHu8847D7///e8z7WQyibvvvhvPPfcc4vE4vvzlL2P16tU4/XQ5diUb+rpbURRFyYm+ft29efNmzJ07F6tXr8ZFF12Exx57DFdeeSX279+PM844w9d/zZo1qK6uxuOPP44vfvGL2LlzJ2bNmoV+/frh6quvBgDMnz8fGzduxOOPP45Ro0Zhy5YtuO6667Bjxw6MGzcOALBkyRL89Kc/xfr16zFmzBjs2rULM2bMQGlpKb73ve9l1veVr3wFTz31VKYdCskf8XPnzsUvfvELbNq0CQMGDMBdd92FqVOnYvfu3bCs7IN6O9GbtKIoipITJ2vgWHOzHGEfDocRDvvfFC5fvhwzZ87Erbe2uwZWrFiBLVu2YM2aNVi8eLGv/4YNG3Dbbbdh+vTpAIAzzzwTv//977FkyZLMTXrDhg2YN28epkyZAgD47ne/iy1btmDZsmXYuHEjAOCVV17BNddcg6uuugoAMGzYMDz33HPYtWuXb7sHDZKpfZ00NTXhySefxIYNG3DFFVcAADZu3Iiqqir85je/weTJk3veYVBNWlEUReljqqqqUFpamvnX3Q03lUph9+7dmDRpkvj7pEmTsGPHjm6Xm0wmEYlISSwajWLnzp2wbTtrn+3bt2faX/rSl7Bt2za88847AIA33ngD27dvz9zYO/ntb3+L0047DV/4whcwa9YsHD58ODNt9+7dsG1bbP/gwYMxduzYE25/d+T9JB1IxxDw2jWkIlPqo2FLai1DBsrVtSWl9hKlMrDsq25NkOackD/puJ6014MCwrWNQwZpQa7UsmxkrxMbcEgfRm6vMzL9SU/0aVvdxfWwJ5PnIZ+vVyg163DdW6Kd4ixt0mDZc5qKyOVZafINh8nzyr5j8nGz5uyDa2xzm+pjmw7VEKcsc5N81axhu6TZ+zRwymk2W6Tv12XNlz8f65FNcn7WqH3niNfD/uoh4snnOebziW3ivvOL8vfJB80a9P9YeINov37f075tskjndkgT5m306e68PNKQGdaofTW7A5wFzucwfY2yN51920GpmSMqxwn46mGXkQ+bl8fH2O30SftzFfLlZD1JHzx4ECUlx78bunuKrq+vh+M4qKiQn7+iogJ1dXW+/gAwefJkPPHEE7j22msxfvx47N69G+vWrYNt26ivr0dlZSUmT56M5cuX45JLLsGIESOwbds2vPjii+I8+/73v4+mpiaMGjUKlmXBcRw89NBD+MY3vpHpc+WVV+J//s//iaFDh+KDDz7AggUL8Nd//dfYvXs3wuEw6urqEAqF0K+f/I7Mtv3doa+7FUVRlJw4WZp0SUmJuElng1PKPM87YXLZggULUFdXh/PPPx+e56GiogI333wzli5dmtGAV65ciVmzZmHUqFEwDAMjRozAjBkzhLa8efNmbNy4ET/72c8wZswYvP7665g7dy4GDx6Mb3/72wCQeaUOAGPHjsXEiRMxdOhQ/PKXv8TXvva1E36ebNvfHfq6W1EURTnlKC8vh2VZvqfOw4cP+56uO4lGo1i3bh1isRg+/PBDHDhwAMOGDUNxcTHKy8sBAAMHDsQLL7yAtrY2fPTRR/jjH/+IoqIiDB8+PLOce+65B/fddx9uuOEGnH322bjppptwxx13dPtavpPKykoMHToU7777LgBg0KBBSKVSaGiQVc+ybX936E1aURRFyYnO1935/MuVUCiECRMmYOvWreLvW7duxYUXXph13mAwiNNPPx2WZWHTpk2YOnVqxjrVSSQSwZAhQ5BOp/H888/jmmuuyUyLxWK+/pZlwWW5qQtHjx7FwYMHUVlZCQCYMGECgsGg2P7a2lrs27evx+3vir7uVhRFUXKirwts3HnnnbjpppswceJEXHDBBVi7di0OHDiA2bNnAwCqq6tRU1ODZ555BgDwzjvvYOfOnTjvvPPQ0NCA5cuXY9++fcLP/Oqrr6KmpgbnnnsuampqsHDhQriui3vvvTfT5+qrr8ZDDz2EM844A2PGjMHevXuxfPly3HLLLQCA1tZWLFy4ENdffz0qKyvx4Ycf4v7770d5eTmuu+46AEBpaSlmzpyJu+66CwMGDED//v1x99134+yzz86M9s6F/AeOuUkEOgpT8PgFfkxvickBFw79KImT9z6RkoNSbB4jBSogzwPHaJBLmqb7gzbk8k2c+FcTABSk5WsMDj8xPTkIKeIdH1QVQvugDiOdgNFZpIELaFA4i28HdYORouAGHmTTejT79JQMTuCBVW5SDgwzaRtdSw4A8Re8yF7ExOViA/R5vJAcdMPbny4aKJeXyl4gwolk18UMKkDCjwIGfX7+vL4wlha5/7n4AhfQQJg+b4qKO1DboP5eQh4vf/EHGijYJos5cLAIB224VNyCC2ZwWAkPFDv3xzeD2XvPk3KdtA6PBm65jXKdZrEcqOM7Z4vL5PRWOkfpi8yz6RjTwDBf2EgPg/V8gyPjNBiRzwHafl+oET/dZQbSZf/++nNg+vTpOHr0KBYtWoTa2lqMHTsWL730EoYOHQqg/cn0wIEDmf6O42DZsmV4++23EQwGcfnll2PHjh0YNmxYpk8ikcD8+fPx/vvvo6ioCFOmTMGGDRtQVlaW6bNq1SosWLAAc+bMweHDhzF48GDcdttt+Id/+AcA7U/Vb775Jp555hk0NjaisrISl19+OTZv3ozi4uMDAX/yk58gEAhg2rRpmTCTp59+OmePNKBP0oqiKEqOGKbfQNLb+XvLnDlzMGfOnG6nPf3006I9evRo7N27N+vyLr30Uuzfvz9rn+LiYqxYsQIrVqzodno0GsWWLVuyLgNof6W+atUqrFq1qse+J0Jv0oqiKEpOmIYBM4/X3fnM+3lFb9KKoihKbuT5JK1DlXtP/gU2zADMjlCPtCd/JQVY42U9z5AdIkHZLojQaDxaYIBEaof1NgozCXlSv7MhtR+LtqeNgiJcg4urU1A+hZd4tDzXO/55OvVzLxDJBGIYpEX5giu60zF6Cu9nTZQ0XTtEBRdIM3YprIM1Tdb14dBBJ1zWlB0uIkJFRrighH2CYgIdmKQPWolG0U4XlFN/0gM5mMJX4EPuDyMlNVynmKwVpOH69EQqkOILxmg7KNdP4SZGAYfFyONjFsrj6xw7JOfnsBVKYvJSUo/l4hU8P4poTAFp2hxUwvozAIx7eKZo7/5f8lUha9RGUZmcTpq1EZbrdGN0jpBGzQU2jCAVjaHP7Ct4wXDYCgUCdVc4R6yPA214ftbAO8+pzyDMROl79ElaURRFyYmTlTim5I7epBVFUZScMEwDRh6JY/nM+3lFFQJFURRFOUXJ+0k6GR2YKcLQGJf3/ABpIqUNsvhBY5JXL7WkY81SXzuakP1bILUgg3yBiTAVrE9LzysXf2iKkz5KmrJDHmDXkduTispiDIybPK5tJaz2dRtOKuOt9RU34KD+hNQ/Afg0TDdaJtpGQpaE83s6SV+LSP2r8NgfRZtdxxYVnLc8uQ+5yIlLx8DypL5GErJPA7f4GIbkMWRN2ufbtskz68rtdQKyv0W+cY8+r0+Tb5WeXe+0M+V03t+sf5L+CFeOUzBYs2afdJTGNbDHl33UbfKadEi/Ncnn7LRKDd8HafAmbY+vWEbKr5uyBj3hkb8T7TfmbRTtdJPMK2B4H1tl8jp143ROFsrvFae5UbR9Pmn28kdIo+ZxCT2NvErzNUTw8ojO7TFYuz4JmEb7v3zmV3pHzjfpZDKJZPL4BcX1QBVFUZS/bAzkmTjWQ2VCxU/Or7sXL14s6n9WVVV9ltulKIqinGJ0hpnk80/pHTnvsurqajQ1NWX+HTx4sOeZFEVRFEX51OT8ujscDndbmNuzgvCsdh+ga0o/oUf6ZCotX3U4nvyN0EJZ3abBPmjZ37akXma5UoNhvdXw5PI90h9TEZn5C1P6klmfdGm6F6LMXcp1ToeOa1XpjsLvXqgIbocOzPqhL2eZi8F3hyG3ibOtmUBKyhY2fYYwKJs5Xi/aRa7UNHvSnBxXdkgY5Lsln3fA7kaH74JF030aNH1+9l37fN/k2/Zof/I55Qbk/grEpT6aIs3XKOuhRJ3PkyvPcc7i9pI0SoCyuA3y6Hq23B72VbstcvtN0l+9OB0P8uj61kf6KY+7YE8z4NepWYM+56G/zTqd88TdVhqXwd5tS3rJvbTcZvZJu7wP6Jz1acZ8jvG4EM4OSHMePOW1B2V/Xn7n8jwz93zoXOnrAhuKWrAURVGUHDFNf3ZKb+dXeofuMkVRFEU5RdEnaUVRFCUn2hPH8nndfRI35nNC3jdpM9UG02rX8cJpqf1Y5HsOWFITDpLmHLZku4jKrtbEpMYSTpNGTPoh662sT5qUu2ympd5nOVLbMskTy55gt03qtZxTHUwe1wMDHfq2Fwhn6sv6PKzN0nPLudbdQporf0aQLu8EWA+T+lebKX27aerfSvIb76OgJ/dh0pQarh2Wy+escDdAGivp/Oxz5mxt9phylrfny2MnjdaSeqRPA6f+DumFRpEc5+Crz8w50HF5ThvFPE6CNGDyzhv9pObt+Wopy+Wxxm1S9jbjUXa6wVnrXPuZzjfWrLkWNODP4mYfdE8a9Z47fiq3gXVv9mrb5JUnDZv3uU+np3PEN4SZ8+dZQ+4pr57ryvcwRNro0MSNHvzUn4b/F6UqP+/oLlMURVGUUxR93a0oiqLkhI7u7nv0Jq0oiqLkhI7u7nvyvkkH7BgCHbpgCFI7CRpS+xlYQr7opNRmyinyNkhbVxaUeljCkRp0wpV6V8CXgUs+7bTUksK21KJ82hDnSJPmbjlU65ikpK4+bqtjn1kthxBo/BgAkOb1cfZuN7WUWc/y6V+s2ZIGG0zJLGab5g+7UvMMcFY0qb5ByPWZlKce9hpFuzUhdbO0LTXlUFpuX9qkGt+mPOaczc0+aydA2dR0zNLBMrk88sDyOAWXlmfZ0rfs0P5iX7PZLOs7u0UDZRsSX/1m2j73WJ2czrWKj3wkt4f1UM6ljlLWAHv1+VuX61lT/WmGNXKge++0WAXp3qxBj//JbNF+7VsL5fwJGvtB3xO+z0TarssSMR1z3zXJPmrCiJMG7vNd0zVcIJdvUl58Z76DT8s+CWgVrL5Hf9coiqIoyimKvu5WFEVRcqLdgpXf/Erv0Ju0oiiKkhP6urvvyfsmnQ4Vwej0CVJucZsn9brmGPmoSf9sohjicrJsJh3ZnzXoNH0clz2wrJ9SbWLWT22DPK0G6XGuXyPuCte3TnfJlXY68s4NuJl+RrxRrq+H2tAAYLBvlWp4OxG5DNa3bIt9u7RP6TOnTalZFjnymLNGbXFNbk9epEWG9AU3UJZ3MlQm2iEaN+Aiez6xX4OmfHfy1ptcL5rrTVM2OPuqHfJ1+/LX6Zx3S7JnebMGzfWfUUD1p215/H31qQcOFc3Awf8r2k6xrLVs9KMa6ayJczY3jaPw1WoukANPXPJxA4BBNa1ZM+YsbtawWYP+4jOyves7/yhXyNdQhDL4ydvNNbJdV67fpxHT42MgIY+hXSTPAYtrwHuUJd5Ug2wEOr3zdK0rf57ok7SiKIqSG3m+7tZy0r1Hb9KKoihKTpiGATOPV9amitK9Rm/SiqIoSk7owLG+J//sbicF05eQ3E7UkPpYJCSPkN0q28URqd9FQlK/Y33ThtSKCgzyUVNusEuOM4fqXwc80s9Ia+L52SedMqRWZdD8Qee4/hbo8Nt6hpXRRb2IFOG57ixM/+HyyLfqhaXmZ7YdFW3OMw+Q7zcV5OxmqsFNV1nCkPphgPLMYyDfLWvUNG7AI9+zRXnqvu3jHGTaR1aKdXx5DHlcQiIqfcoGLY/z3d0Q15M+JtoOZ1eHsuc8s4+aNWijRGrEHvmwueY4Z4Hz/koPGCaXT5oza8qsSZusMXPtZiv7mAGzuMz3Nzcmt9kqI52c8s85i5t90KxBT1x7t2i/fv8zcnHNtM/JN+3Q9oHOAc5j5/z2VKscxwHK/k73MM7Al4WQksfI7sivtz8Dn7TS9+iTtKIoipITOrq779GbtKIoipITepPuezRxTFEURVFOUfJ+knbNQCY/OQWprRRA6mVFUdJ0TanXJW3K1qYIX9ak2dfMHlz2+LKH1zXJI0u5wzFD6m1p8shaFOLLtZlN0nvD3vH9EewI9naD0Yyu6fO0ktbksVYFwIjLbGtwvWXKsvZtI+nmHu8Tqg/NvuKIRzW4fb7o7JokT7W70d3F+ul3JQ9EMcknbpAmbJNmjxTlsXPWd6hYrp808wDVp+Zsb3aqenSOIUn1vim32SDfskdZA1wf3HcOcU1h9m2bnM1NvnnKyWaN2U2SJk7bz5q1b/5W0lsBWKRT+7zWFh0Tqgfty+ImHzRr0Of+6FuivffOtXJ5tA99+0iuDQYdYy9OdetprIkbyV7D25e/zjUJ6BxBxzgGvlZPBjpwrO/R192KoihKTphmnhYsfd3da/QmrSiKouSEYfoGl/d6fqV36C5TFEVRlFOUvJ+krXQSVofOFUD2uqmOK9WbohDVGqatsUmTptK2KKTs7KRL+hqpRUYP+mqccqNNzsz1pMYddEl/dLm+tJzeNVvc6SZz2ud5DVEtXtYvAZ/GyNndLi+DtjFNGrUbkZpmkrKsuR51gvaZy9nUJuefy9ddrkX1oWn9fEZxje9AivQ91gtduT6f5hyUmikvvycfNhx5jqUi/UWbc6h9XnfyzHrkqeUsbJ9HtpD0TOrPPmSnTtaT5lxqg3KpTaov7bQ0yulFcv0e73/Wh2mgCXuQu5vHKqRjlJZnhUPebK4HzVnc7INmDXrc8u+I9p7vrZaLj8hjmuY8c64nTcfEI180jyNgDZs1aN85QF76znrWfK2dDAzDgJHHcj/NvKtXr8bDDz+M2tpajBkzBitWrMDFF198wv6PPvooHnnkEXz44Yc444wzMG/ePHzrW8fHHdi2jcWLF2P9+vWoqanByJEjsWTJEnzlK1/J9Emn01i4cCGeffZZ1NXVobKyEjfffDPmz58P0zRh2zbmz5+Pl156Ce+//z5KS0txxRVX4Mc//jEGDx6cWc5ll12Gl19+WWzf9OnTsWnTppw/v77uVhRFUXKir193b968GXPnzsXq1atx0UUX4bHHHsOVV16J/fv344wzzvD1X7NmDaqrq/H444/ji1/8Inbu3IlZs2ahX79+uPrqqwEA8+fPx8aNG/H4449j1KhR2LJlC6677jrs2LED48aNAwAsWbIEP/3pT7F+/XqMGTMGu3btwowZM1BaWorvfe97iMVi2LNnDxYsWIBzzjkHDQ0NmDt3Lr761a9i165dYptmzZqFRYsWZdrRKP1w7wG9SSuKoih9SnOzfPsRDocRDod9/ZYvX46ZM2fi1ltvBQCsWLECW7ZswZo1a7B48WJf/w0bNuC2227D9OnTAQBnnnkmfv/732PJkiWZm/SGDRswb948TJkyBQDw3e9+F1u2bMGyZcuwceNGAMArr7yCa665BldddRUAYNiwYXjuuecyN+DS0lJs3bpVrHvVqlX4q7/6Kxw4cED8gCgoKMCgQYN6v5M6UE1aURRFyYnOMJN8/gFAVVUVSktLM/+6u+GmUins3r0bkyZNEn+fNGkSduzY0e32JZNJRCJSbohGo9i5cyfsDqveifps37490/7Sl76Ebdu24Z133gEAvPHGG9i+fXvmxt4dTU1NMAwDZWVl4u/PPvssysvLMWbMGNx9991oaWnpfgEn4CT4pIMZ3TFkSK3IJo9sIiW1ldaU/I2QJn2vkKQdmyyejke5x1QHjXOhQ5QrzfqqRRq0bfp/2WVbH3uMg6SZO13qU7udu94wjuugpH9aLYfk/EUyV7q7eUDbYJBPmvWwAGVXuzbVXyYvOH/GVIDyytm3y+MASKMOpaSelghy/Weqjx2S+mTQoe2n5bMP3DVZ05YXDNefZg2a620bVLOXs8ZtrpdMmi24dnFP/Wlcgsf6K2dvk4/ZKJAeY1/WN3twafk8bsJto/X3kKuNAC3P9udLG0G5TU5zY9bprEH7vOGsu/Nnov6sQY9fOUdOv+OnvMkS8mX7vOhc07yJ6k93k4cg4LEp/B3wGWIa7f/ymR8ADh48iJKS4+MZunuKrq+vh+M4qKiQ9bYrKipQV1fX7fInT56MJ554Atdeey3Gjx+P3bt3Y926dbBtG/X19aisrMTkyZOxfPlyXHLJJRgxYgS2bduGF198EU6Xc/X73/8+mpqaMGrUKFiWBcdx8NBDD+Eb3/hGt+tNJBK47777cOONN4rP9c1vfhPDhw/HoEGDsG/fPlRXV+ONN97wPYVnQ193K4qiKH1KSUmJuJllgwebeZ53wgFoCxYsQF1dHc4//3x4noeKigrcfPPNWLp0KayOIJ2VK1di1qxZGDVqFAzDwIgRIzBjxgw89dRTmeVs3rwZGzduxM9+9jOMGTMGr7/+OubOnYvBgwfj29/+tlinbdu44YYb4LouVq+WP/BmzZqV+f+xY8firLPOwsSJE7Fnzx6MHz8+p8+vr7sVRVGUnDCMPF9392J0d3l5OSzL8j01Hz582Pd03Uk0GsW6desQi8Xw4Ycf4sCBAxg2bBiKi4tRXl4OABg4cCBeeOEFtLW14aOPPsIf//hHFBUVYfjw4Znl3HPPPbjvvvtwww034Oyzz8ZNN92EO+64w/da3rZtTJs2DR988AG2bt3a4w+P8ePHIxgM4t133815P+hNWlEURcmJk6VJ50IoFMKECRN8r4a3bt2KCy+8MOu8wWAQp59+OizLwqZNmzB16lSYJHNEIhEMGTIE6XQazz//PK655prMtFgs5utvWRbcLpGvnTfod999F7/5zW8wYADFs3bDW2+9Bdu2UVlZ2WPfTvJ+3W14aRgdmdlJL5i1b4LkJ4c8rKGwm306WYudFHlgqb4z50531YQBwCSfM2eB++an+tO2yfqt1PNcrpXcRcPu/H8zFYOVbNdF02XywHkB0mm68y9QVrJPQy2gWrxJqcGmopQNTZqrS8tzglQ/OdlI62fNVu7DQFrqaTb5tPkzsgbNWdWpoNRY+Rg4ARrYQPod57W73N/kk04u3/B4/9M1wFnd1DYSpDGTx9aIkkeYagsbXJu4vEq2SUNm/RUxeT6YA0+X0ylr2yAN24yST540cM7u9vmkQ34tknV17uNyFjZPp+8Zk7zfXA+as7jZB80a9PifzBbt16bdI1fIWdsO5zNk9+L7fNFMmOpXk0bdWYfeYI/9SaCvs7vvvPNO3HTTTZg4cSIuuOACrF27FgcOHMDs2e3HoLq6GjU1NXjmmfY89nfeeQc7d+7Eeeedh4aGBixfvhz79u3D+vXrM8t89dVXUVNTg3PPPRc1NTVYuHAhXNfFvffem+lz9dVX46GHHsIZZ5yBMWPGYO/evVi+fDluueUWAO0+6q9//evYs2cP/v3f/x2O42Se+Pv3749QKIT33nsPzz77LKZMmYLy8nLs378fd911F8aNG4eLLroo532gmrSiKIpySjJ9+nQcPXoUixYtQm1tLcaOHYuXXnoJQ4cOBQDU1tbiwIEDmf6O42DZsmV4++23EQwGcfnll2PHjh0YNmxYpk8ikcD8+fPx/vvvo6ioCFOmTMGGDRvEqOxVq1ZhwYIFmDNnDg4fPozBgwfjtttuwz/8wz8AAD7++GP827/9GwDg3HPPFdv8X//1X7jssssQCoWwbds2rFy5Eq2traiqqsJVV12FBx54IKOP54LepBVFUZTcyLOe9KcZGj5nzhzMmTOn22lPP/20aI8ePRp79+7NurxLL70U+/fvz9qnuLgYK1aswIoVK7qdPmzYMHge1z+TVFVV+dLGPg16k1YURVFywjT9jrfezq/0jrxv0tf/93oUBNsXM/h0qeX0HyT1tRFfHCbaH+yVetrAM6S+VdhP6l+H3pNaUs2fZDvWKvW2hqNSqykokK8Ymprk9KIi8nUnpGc1HJZ6YCAgfxXWHz0m2tHIiV9p9BvWvuzxpZ/g9P4fAgDe+fiA6DOoWH4ey/b/CiUJGQ1koRxAtliXJFemLSl/Hf4Bg2UHn6ZLPmSu90y6fipURtNJE+Z6z4SZkElFXx70sWg3tGT3jEbDch+mbKp/7R4WbYu+VAoicv4jTXJ9JQVy+luHakU7achrZEhIXgM1qTLR9g7TYBdP+sLTdAk7je/JtsFjDOQ5GSAfepxqmLukQYcaZfa3L/u8WI66TR+Tn9/nGabaygDg0Tlg0Db5xmFwFrZNn4HOUYRI06X1+7K4Cdagv/i/Hxbt3bevFG2fJn5MnmNmqcx7Z3z1srnGd5nMT8hkf7NfW/mzJOebdDKZRDJ5/OTgWDdFURTlL5vejtDubn6ld+T88mHx4sUixq2qqqrnmRRFUZS/GDpHd+fzT+kdOd+kq6ur0dTUlPl38ODBz3K7FEVRlFOMvvRJK+3k/Lr7RFVKYm0OvGD7jj96hPStmNSOIkVydfUfS803EJS/GRpqpaZy+KDUmo4elutrapLaTTIp9cK2mNSmDh+T2zeYfN4m/eyLxSmnmU64Q0fl8gojcv1d9U+7uH1ZB48ZOHi4fTktJBgbrXL/WIZ/NCH/Mo2lKY/c5Lx0OQPP73nZ6z1zPWbOynZJH+SatsGUlEmSJfRGhmvlsteTRlTWN8lj2hiX6+PvhMa4nD9my/WVklc/YMn+CdKwqUQ6DpMKxJoxK6CtttSIk8Ey0Wbfd5Ly7S3Ko0+Epb5pUT1wHiPgUk11j+uP0/FgH7hLWes+zy97gsnTzNng3eFF2GtNXm/eRvKam60yG9tjHzZ72bkeNGu75INmDXrCo98T7V0zfyzXT+e0y/Ww+fP14Bv31ZTv0MCNQO42H+XURUd3K4qiKDmhmnTfozdpRVEUJSfUgtX36C5TFEVRlFOUvJ+kwxETkQ4tubSf1KuCIfkbYOAwqXe1kYYcJh9zpJg8oGmpvcTbpHbDb1JayTcdId+yQ/pef/Jl8/zBoJzfsuQKC1ul3lcQkZ+/f9nxdr9+7Z+tvNBFuqT9c7U1yPUVBElTT/k1psIQ5YuTJ9QgHTtKR7yUJMhPmuQ2m1T7Nh2WVV5C8XrZn/PLScN0LKmnmQlZT9phPZBr75IxnMcFROjz9ctuu0YzjVNIpfl1HOXHB0gTpp+5haRhewnS+EkDbnWlphuypT7py4u35AELpaU3nzVorgfu0vIYg/VX0nv5eILGICBEGjVljfuyzLuDa2izRtuT7u2yZk3jMIr6ycVRFjh4HAR5uzmLm33QrEFPfPI+0d793Z/I7aGscIZ90lwPmzXqzvrbnPN+MjDQu0pW3c2v9A593a0oiqLkhGF2X+enN/MrvUNv0oqiKEpO6MCxvkd/1yiKoijKKUr+mnTIRLhDew4E5D2/qEzqVQXU7kfZ3gWlUosaQFne8WapNUULyRNMGnE6LfXBIPmwC6JSHwyRhhxMkh5JGnsqJbWxCOVCV1RIrSgeP65lBTv2Vf8yC96A9u043Cq1sOIw+6IpgxgAfWQUheQ2lRXKDkdl+WAUU9Z0f1uu4xBptqxBR12ZvZwy5DF1QfuYNFOk5fxx0v/Yl83vy0pOo3EBJGlzRTguXNOvSM6fSGWvbFMQ5kLwcnob+bC5xnmhJzX4gCn72x7lMpMRO+FRlrYhrwkjfVS0OSscLOdyDfW4zBJ3I6WizfXKff1pDIHBOdvBAmp3EybPmjB75ynvm/PfmQCNe0hRDW6TlufLAudxEVzznLK42QfNGvSENXeI9q4ZP5Tri1C2OGngblLmRXD9bYQ69ulnMJTaNA2YeTwN5zPv5xV93a0oiqLkhGrSfY/uMkVRFEU5RdEnaUVRFCUn2p+k8xk4dhI35nNC3jfpWMyB11HnmH3HriO1IvY5p+J+jbUryT9Iz+ixT2SWdVsz5RYn5PJrD0l9r2qI1L9itP62Fqmf2ZTTbNvsQZbb2xqj9deduJ6r1eHBrm9Io/ZI+//H01KTP0pldB3Xf3FEyUsdpyxqUH1l1mSPNsvpaUeuw6Hsbo/qEYPkw4Ar9zlnf6dpA+wwaZ5hWQDb4YLZ5APvqX40ezrDtLikPIXgkAYcCRpZpx9tke1CGpfgkCbfAmnc7m/Ic7yNfNPJoPSlW6SPRjzpk07SmAD2VbNvmn3YLu1/1owDMTkmwQnI7fUicns91oujVOA8ToMkAF82NsP54ryNRlzuU7tI1rhmb7dL22wU0jnZJLO/fTXVqR40Z3GzD5o16IlPzRftPd9bLZfXSFkExdLnbdLynaaOc4L95ScBHd3d9+jvGkVRFEU5RdHX3YqiKEpO5FsTWutJ9x69SSuKoig5YeRpwdLX3b0n75u063lwO3RG25ZaTUujFPyOHZSacnO91C+LB0itaECV1J6C4exv59kHHaH+rFnb5KM2yXQcT0j9M0g+cDudXQ/lWsOFXXzZ4Y5tMw0jkz/t+tQHuf605z/BWYM2Kau7ICTbDTFaB2nKTSmuLyzbblTqYY4jj2EqIvU5j+oNu670gMKR54hXQHqg3Y2PtguWLfdJCw0D4KztBGnQ/J3RlJD7J8xZ3b5DQDXFm7NndTuGFMWPuaThsieY6j87pKc2OXJ/ubR8NkYnS4eKNmenewVlcnZ69ElHaHqA9OAC0rRJFzUCVG+cPMHdkqbs6nR23zJnd1sJqRGn6RxjfFne3J+2x0cPWjD7oFmDHr9yjmi/MW+jXHyMfOJk1jfC7dfcZ3FDVAtW36O7TFEURVFOUfR1t6IoipIThpHn6G4VpXuN3qQVRVGUnFALVt+T9006EDAzWm1PP5JCUX895N4QonrQnBXO+ltxkfx4rDFTJC4CAapNHGYNmvRJEij585dSPexgF89t57JN83hNYpO2v7xQrq++za+Bc1a3R7o16+JkZfdtc9ii5VFWs5GSeh1rpiw6WaR5uqRhBlKU/U01cLm+MXtkefsHkA03Qnnr8aTcAS2UtV0czu4bZ40/QOdAU0xON2icRtCTnycI8vobNA7Dkf15f7MP2iMNnPsbtjTf+zRwyoX2uHYxeYQ9zuYmPZdztlFGnuWkHKcCdONT5umU/87Z2jzOwfBII+Y6y+zL7klzJrjeMyhLm6f7srjJB80a9DkP/a1o7/5fq0Tb4fV3HqMeMs2VPw/0SVpRFEXJCdPMr27HZ1Dz4y8evUkriqIoOaGvu/sevUkriqIoOaE36b4nf5+048HpqInLudCs2cZbpHZika+ZNWePBNUUa8o0PUj6Y4xqIRcVyeU3NcvpLVSvmn3XAdpbrGEfOSrnb2uTyy8r8+/uRMpDW4dOmvbk+ppIrkt3k93dkqTatqRJF5MuFbLkPuNjFqT6xqxB+uoLc71nwqd5koaZ6id9uz49D+ST7uF9WYrkOa4PnaA89lKqp32MJFSLLbi0v+K0/J5Gr7JPugBSX02Rfuoacn84ptRPQ47c/8mAzAbn7HUjTXosHR+XfMzsSe4tXlhuD1zSSbvJ6eZ6zOw75prU/Bm8AvrMTTVZ+/s0aJ6epHM8TPWeUzSOIiQ/k0HnLNeD5ixu9kGzBj3hkb8T7b33PCnnP9aeNe7ZJ64doPz5oE/SiqIoSk5omEnfozdpRVEUJSfMPGNB85n384r+rlEURVGUU5S8n6QLCiwUdOQ7R0hTLu4n9a2KEVKfipMGXEj9S06j+s9NUjtqPia1q1irXF5JCfuU5W+SEtKoi6k/64vxmFx+EfUvK5bLi0Tk+tJdfNbpDsNyUdRAWWH7eo7F5fI5N5p94ABQEpF9Yim5zYPKZLuuUfYvI3nvKMlvli31MY/qO5vkUXUt0hjZN03Lcx2px/l82ayrpch3LE8Z2GSJDdMZHqb60Nyfs757+uFfQpo296/hmul0SEOWnN7qUhY7adRc/zkAysZOy/rM8aA8Jy32nbOvuvFjuT6qtWwlGkXbpXrSLh0/kKeZfdc+jRro2afTg//XbD2SdbqRIi948QA5vU16+3l9HmnURtnArP19GjWNu+B60JzFzT5o1qDHPTxTtHffvrJjOZ9FdnffDxxbvXo1Hn74YdTW1mLMmDFYsWIFLr744hP2f/TRR/HII4/gww8/xBlnnIF58+bhW9/6Vma6bdtYvHgx1q9fj5qaGowcORJLlizBV77ylUyfdDqNhQsX4tlnn0VdXR0qKytx8803Y/78+TA7zk/P8/Dggw9i7dq1aGhowHnnnYdHH30UY8aMySwnmUzi7rvvxnPPPYd4PI4vf/nLWL16NU4//fScP78+SSuKoig50alJ5/OvN2zevBlz587FvHnzsHfvXlx88cW48sorceDAgW77r1mzBtXV1Vi4cCHeeustPPjgg7j99tvxi1/8ItNn/vz5eOyxx7Bq1Srs378fs2fPxnXXXYe9e/dm+ixZsgQ//elP8cgjj+APf/gDli5diocffhirVh0fxLd06VIsX74cjzzyCF577TUMGjQIf/M3f4OWluM/lOfOnYuf//zn2LRpE7Zv347W1lZMnToVDidpZUFv0oqiKEpOdGZ3f+p/vczuXr58OWbOnIlbb70Vo0ePxooVK1BVVYU1a9Z023/Dhg247bbbMH36dJx55pm44YYbMHPmTCxZskT0uf/++zFlyhSceeaZ+O53v4vJkydj2bJlmT6vvPIKrrnmGlx11VUYNmwYvv71r2PSpEnYtWsXgPan6BUrVmDevHn42te+hrFjx2L9+vWIxWL42c9+BgBoamrCk08+iWXLluGKK67AuHHjsHHjRrz55pv4zW9+k/M+0Ju0oiiK0qc0NzeLf8lk0tcnlUph9+7dmDRpkvj7pEmTsGPHjm6Xm0wmEYlImTQajWLnzp2wO2SDE/XZvn17pv2lL30J27ZtwzvvvAMAeOONN7B9+3ZMmTIFAPDBBx+grq5ObFs4HMall16a2bbdu3fDtm3RZ/DgwRg7duwJt7878takYzEHXkdN39YWqY+Z5COON0ttJU4acitpzDx/y1E5netVJ0j/O1wv+xdSdvhHteTbJg0nRbnLiaRst5EPO+HTS+XyvC6r69SnY0kvkx/NPmnTYF+4/1dojCylKXqLwj5hns6+3wjXT06R5kx6HmdDB5NSz3Moq9t0qX+z9LCm+g8X7UDbYbm8sNRIWeJKUzg5Z3fXN8vpJVIO9GV18/6KBsl3Tfs/TOWc04bUkF1639fikA+cnjRYMw47UtO3qOZ43JTjPjz2WQeCNJ08vGEKPyeN2QnRdKanvGjWoANc/xpASgYE+DRkzm/n+s0mZfwnpIZsU41zkAbtBbPXMOc8cl9eeVT6qJ3mRrmAkFy+03RMzh+m7aN92umD7qRTg+5kwqPfAwAkWprxq19U42RyskZ3V1VVib8/8MADWLhwofhbfX09HMdBRYXMe6+oqEBdXV23y588eTKeeOIJXHvttRg/fjx2796NdevWwbZt1NfXo7KyEpMnT8by5ctxySWXYMSIEdi2bRtefPFF8Qr6+9//PpqamjBq1ChYlgXHcfDQQw/hG9/4BgBk1t/dtn300UeZPqFQCP369fP1OdH2d4dasBRFUZScOFk+6YMHD6Kk5PgP7nDYH2qTmYd/uHreCV+bL1iwAHV1dTj//PPheR4qKipw8803Y+nSpbA6BuStXLkSs2bNwqhRo2AYBkaMGIEZM2bgqaeeyixn8+bN2LhxI372s59hzJgxeP311zF37lwMHjwY3/72tz/VtvWmT1f0dbeiKIrSp5SUlIh/3d2ky8vLYVmW76nz8OHDvifYTqLRKNatW4dYLIYPP/wQBw4cwLBhw1BcXIzy8nIAwMCBA/HCCy+gra0NH330Ef74xz+iqKgIw4cff4t3zz334L777sMNN9yAs88+GzfddBPuuOMOLF68GP9/e/fv0sgWxQH8RDMa0CUiFmPir/SCSP4CU4ogNgkWYqmksgoW/gArEcTCWhDSpEkqsXBstBBtbBQhgkZIERAkONnNJDOJZwvdeZujqyHzHm9gvx8YROc6czJKbubcOfcSEamqSkT0aWyqqpJpmlQsFpuO/yMt30nz23ySxm81LGVTlHuIYQb9R2Nu8HulMd3cZojPDOXGTxuy/Q+zMc1VFblJQ9TXeEQqt1Jr3F+2xNKUMt0tvm8XU0watcbze60/TxnZWTVJ13UyTJOqb+k6U6RaqyKNV61/8JnK83k6uyIygdUv9zcezxLL/lkeueyeXNav8TXURbr2RbSX6XZLTlsp2tdFyZf8G1bFcqLeWuM1k6/vq+sjr2ebmDb1hWR6urG9vH4y3d0mpkm1vrhNeZHLLooSLIsbz1fzyCkvZbxiaVM5JWebKCeSy0IKXBPp6xdT7Jdjjx+kx0UbOTUpi3S2THd/tXSlJfbLIQV5TaR3U6WKsjaPVxxPLo0pS8xk/DKdLEvA5PnEMF2lpBMRUfX761eWc/86UDIsRyVYJaP5ZUA7OjooHA6Tpmk0MzNj/1zTNJqenv70dxVFscucUqkUTU1N2aVTv/h8PgoGg2RZFqXTaYpGo/a+crn8rn17ezu9vA3XhEIhUlWVNE2j8fFxInodQz85ObEfUguHw6QoCmmaZh+7UCjQ9fU1bW1tNX0diFuUz+eZXqs+sWHDhg2bS7d8Pt/q27zNMAxWVfVfiUdVVTYMo6nzplIpVhSF9/b2+ObmhpeWlrirq4sfHh6YmXl5eZnn5ubs9tlslpPJJN/e3vLFxQXHYjHu7e3lXC5ntzk/P+d0Os13d3d8enrKkUiEQ6EQF4tFu838/DwHg0E+ODjgXC7HmUyG+/r6OJFI2G02NzfZ7/dzJpPhq6srnp2d5f7+ftZ13W6zuLjIAwMDfHx8zJeXlxyJRHhsbIxrtVrT177lO+lAIED5fJ6YmYaGht6NMbiFrus0ODiI+Frk9viI3B8j4nMG8bWGmalUKlEgEHB8LJ/PR7lcjkzT2YIrRK93yPLp6j+JxWL09PREGxsbVCgUaHR0lA4PD2l4eJiIXu9Mf6+ZrtfrtL29TdlslhRFoYmJCTo7O6ORkRG7TaVSoZWVFbq/v6fu7m6anJykZDJJPT09dpvd3V1aXV2leDxOj4+PFAgEaGFhgdbW1uw2iUSCDMOgeDxuT2ZydHRE377983Dlzs4Oeb1eikaj9mQm+/v79vh4MzzMznIhuq6T3++n5+dnV/2D/oL4nHF7fETujxHxOYP44G+GB8cAAABcCp00AACASznupDs7O2l9ff3TOrf/E+Jzxu3xEbk/RsTnDOKDv5njMWkAAAD4byDdDQAA4FLopAEAAFwKnTQAAIBLoZMGAABwKXTSAAAALoVOGgAAwKXQSQMAALgUOmkAAACX+glQUaLG4saa0wAAAABJRU5ErkJggg==",
|
|
"text/plain": [
|
|
"<Figure size 500x500 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"group_a = [value for value in data_runs[f'attack-repeat-25-07-09-01-p0.3'] if not value['info']['mods']]\n",
|
|
"# Exclude mesh 56 as its response is easily distinguished by min/max, making it light up very bright in the plot and swamping out the colorscheme for everything else.\n",
|
|
"# We also specifically did not measure that one sample that got a hidden short during modification, since that's also too easy.\n",
|
|
"group_b = [value for value in data_runs[f'attack-repeat-25-07-09-01-p0.3'] if 'loop_patch' in value['info']['mods'] and value['info']['serial'] != 56]\n",
|
|
"\n",
|
|
"print(set(x['info']['specimen'] for x in group_b))\n",
|
|
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
|
|
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
|
|
"\n",
|
|
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_repeat_tridelta_p0.3', do_lines=True, figsize=(5, 5), smooth=1e-9, triangle_delta='load')\n",
|
|
"#plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_repeat_p0.3', do_lines=True, figsize=(5, 5), smooth=1e-9, triangle_delta='channel')\n",
|
|
"\n",
|
|
"#plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='patch_repeat_p0.3_minmax', do_lines=True, figsize=(5, 5), smooth=1e-9, triangle_delta=False)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 105,
|
|
"id": "dba0e4b8-4207-4f6d-8260-4e5e134cbab6",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"{'SP-PITCH-V2-0058', 'SP-PITCH-V2-0063', 'SP-PITCH-V2-0062', 'SP-PITCH-V2-0061', 'SP-PITCH-V2-0065', 'SP-PITCH-V2-0057', 'SP-PITCH-V2-0060'}\n",
|
|
"70 2025-07-09T17:39:02.553Z\n",
|
|
"70 2025-07-09T17:37:40.678Z\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.998952\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.999±0.000111 min: 0.999 max: 1\n",
|
|
"Cross class: 0.999±0.000444 min: 0.997 max: 0.999\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.354658531438\n",
|
|
"EER: 0.1456372180952635 th: 0.9991936057976704\n",
|
|
"setting threshold for quantile 0.001\n",
|
|
"Baseline threshold set at 0.328759\n",
|
|
"\n",
|
|
"Distribution parameters:\n",
|
|
"Within class: 0.593±0.0855 min: 0.231 max: 0.77\n",
|
|
"Cross class: 0.46±0.0965 min: -0.063 max: 0.711\n",
|
|
"\n",
|
|
"Type 1 error (false alarm rate): 0.001000000000\n",
|
|
"Type 2 error (missed alarm rate): 0.913000208571\n",
|
|
"EER: 0.22598211731369175 th: 0.53232711268001\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(<Figure size 500x500 with 2 Axes>,\n",
|
|
" <Axes: >,\n",
|
|
" <Figure size 300x150 with 1 Axes>,\n",
|
|
" <Axes: >)"
|
|
]
|
|
},
|
|
"execution_count": 105,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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8EUOGDEGRIkXg7u6Ohg0b4ujRozAajbDb7elSQKckGWG6nt1uR0REBI4dO4YZM2YAAAwGA6xWKyZNmoSDBw+qhLImoP8ZmiatQYMGALKZdtCgQciWLRsiIyNx7949lC1bFuXLl8eFCxdgtVqxa9cuZMyYEU+ePIFer4e/v//7HrYLnLXoTp064enTp1i6dCkWLFiA1atXIzw8HOPHj0dQUBDOnDmDAQMG4NGjR5g6dSoqV64MwDXX9/fff8eTJ0841eeePXtQr1491K5dGytWrEiV0jO9aonOa7NgwQIcP34ccXFxaNmyJWrXro3o6GgMHDgQf//9N7y8vJAvXz6cPn0aiYmJOH78OIxG4wdPJ/v/ifT3iqdBw38A7N1aFMW3Rp3o4+ODmjVrolatWoiOjsZnn32GiIgIrFy5Ev3798eFCxdQvHhxPH78GBkyZEiTAhpw+H8fPHiAK1eu4KuvvoK3tzf69OmDRo0a4eLFixg8eDAePnyIggULYty4cahUqRIqVqwIQB0ktnjxYowdOxYjR47Es2fP+DkqVaqE33//Hdu2bUP79u0RGxvrMo70KKABRzWrQYMGYdSoUUhISICnpyfq1KmDefPmwd/fH1OmTMGQIUMQGhqKpKQkVKtWDSdOnODWBU1Avwb+v8PJNWjQ8O/AUlU2b95MHTp0oGbNmtHRo0dfKcfUOc3FuX3K9JeNGzdShQoV6ObNm0REtG3bNqpTpw7VqVOHLl++/Dam8U4xbdo0+uSTT6hx48aUkJCgopicMmUKlS9fnjp16qSi/SRSp0iNHDmSjEYj1ahRg4xGI5UvX94lpWrv3r0kCAKNGjXq3U4ojWHJkiWUPXt2TtCydetWEgSB9Ho9TZw48YXH/RdS0N42NE1ag4YPDIIgYNeuXWjSpAni4+Nx69YtVKpUCYsXL0ZCQsILjyPFxPjkyRPYbDZVAYOUms3169dx6tQphISEAAB2796NLFmyYO3atbyiUVpFcnIyRFHEpUuXcOnSJXh4eMBgMMBisQAA+vbti8aNG2PXrl1YtmwZAHltiIhrv2fPnsWZM2ewb98+bN68GUePHsWZM2cwcOBAXL9+nZ+rQoUKOHnyJAYPHvz/P9H/JxART6ECZHN3dHQ0hgwZghIlSmDjxo1o2rQp5s2bh/Hjx2PIkCGYN28erFarS1/p1brwTvF+3xE0aNDwJli0aJGKonPQoEFkMBjoxx9/pISEhBce9+TJE6pZsyZ1796drFYrEaXO8nT79m3KkycPZcmShWrWrEmenp4q8gmmeR87dozWrVtHM2fOpGfPnr2Xogipjf/x48c0e/ZsMplM9PXXX/PtzkUxfv75Z7Lb7bRo0SKKjY3l2+fMmUOlS5emChUq0MOHD/n2s2fPkre3NzVo0ICuX7/ucs70WhDCmQzmt99+o8ePH9ONGzfo+vXrFBUVRQULFqRp06YREdGRI0fIZDKRIAi0cuXK9zTi9AVNSGvQ8AGACcUzZ87Qjh07qFevXrRkyRJVm8jISDIYDDR//nyKj49PtZ+EhATq06cPlS9fnvr378+FVkpBZ7fb6eTJkzRw4EDq06cPnTt3zqWv1atXU3BwMFWqVIk+/vhjCgkJoUWLFqkE4buG87iPHj1KW7dupYsXL/IXlenTp5Ofnx/179+ft2N0nWx/s2bNVP0cPnyYwsLCyMfHhzZu3Kg637lz58jf358qVqzoYipPj9i9ezdlzJiRnj17Rv3796ccOXLQvXv3+P79+/dT4cKFuQvk3Llz9PXXX9Pq1avT7UvL/zc0Ia1BwweCNWvWkLu7O4WHh5MgCNSqVSvVA5OIaOjQoSQIAi1evNjleCaI4uPjaejQoVS6dGmVoHb2F4qiSNu2bXuhD/Ho0aMUFBRES5cuJSKZ41sQBK5R/X/A2Y8+aNAgypUrF4WFhVH+/PmpSZMmdOHCBUpISKCZM2dSYGAgDRw4MNV+mDDZs2cP15zPnDlD4eHhVLduXTpw4ICq/cmTJ6lGjRr/CZ7p48ePU926dSlDhgzk7+9Pd+7cUe3fuXMnCYJAv/76K50/f57q1q1LDRs25Ps1Qf3voQlpDRrSMJggunnzJtWtW5dmz55Nd+7coeHDh1PmzJnp22+/5cUKGEaPHk3nz59Ptb9/EtSiKJLFYqGuXbtSrly5XPpmWLt2LdWpU4eIiC5cuEA5cuSgjh078v0p+bLfJWbMmEFBQUG89vXXX39NPj4+9Oeff/KxzJo1iwRBoFmzZvHjnDX+ffv2UdasWWn48OGcb/rYsWMUFhZG9evXdxHUDOlVUDu/AI0YMYIEQaDg4GBuPXAWvv369SNBEChnzpxUtGhR7kbRuLjfDjQhrUFDGsfff/9N3bt3pwYNGtCzZ8/49pEjR1LWrFlp/Pjx9ODBg1fu70WCmj1ce/ToQW5ubnT06NEX9jFmzBiqUqUKJSQkUPbs2alz586839WrV9PQoUPfudmbCYEWLVrQ+PHjiYhow4YN5OPjQ3PnziUiosTEREpISKDY2Fhas2ZNqpaBefPmEZFcurJUqVI0atQoevz4MRHJgjo8PJw+//xz2rVr1zudT1rBrVu3+LWcMWMG7du3jzZu3Ej169enbNmy8Qh35+t76tQp2rdvH19fTYN+e9CEtAYNaRwTJ06kjBkzUlBQEF28eFG1b+TIkRQaGkpDhw5VBTn9E14kqLt27UoeHh50/Phx3pYJw4sXL3IN/fz58xQeHk5ubm7UtWtXVbs+ffpQ/fr1KSYm5s0n/QqQJIkkSaJatWrRn3/+STt37iQvLy8uoK1WK82bN8/Fr+wsXGbMmEGCINCFCxeIiKhv375UvHhxF0Ht5+dHgwYNeqfzSQvYvXs3ffzxx7Rt2zbq1asXCYLAg+SOHTtGderUoezZs9PVq1f5MYsWLVLde1qa1duFJqQ1aPgAMHv2bMqVKxd17tzZJbJ4wIABVKBAAZeygExovija21lQjxgxgjJnzkxubm507Ngxlz7WrFlD+fLlo+HDh9ODBw/o6dOn1KdPH8qVKxeNHTuWiIiuX79OgwcPpoCAADp79uzbmXgq402Jli1bUsaMGcnLy4uWLVvGtz9+/JiqVq36Qj/57t27acyYMfT777+rtqcmqC9duvSfED52u51q1apFwcHB5O3t7WJNOX78OH366acUFBREv/76K1WvXp1KliyZbs3+aQGakNagIQ2BCcU7d+7Q7du36dq1a3zf5MmTqUiRIvT111/TjRs3VMcxYZKyn+3bt9PQoUPp5MmTqZ7PWVB/++23qRKV/PHHH+Tu7k5z5syhR48e8e3Xr1+nvn370kcffUQZMmSgwoULU1hYmEoLf1twFgKnT5+m8+fPc6KVBw8eULly5Sh79uxksVgoLi6OHj16RLVr16YyZcqkKlx37dpFWbJkIX9/f27Gdtaw+/XrR6VKlaJ+/fqp/OvpWVAzE/WUKVN4gOLGjRspKSlJ1e7cuXPUsmVLypUrF9WuXVvzQb9jaEJag4Y0AvaQW7t2LRUqVIiyZMlC4eHh1L59e97mu+++o6JFi1Lfvn1VJsfU+lm9ejV5enrSmDFjXFKonIWe83dngSRJEiUnJ1Pr1q2pT58+qr7ZAz0mJoZu3LhBCxcupH379r2TtCTnh3+/fv0oR44c5O3tTSVKlKABAwYQkRxlnDdvXsqUKRMVLFiQSpUqRSVKlOACJKVwvXr1Kg0cOJC8vLzom2++4dudBXXHjh2pffv26V74pJzf0aNH6fz58/Tpp59S0aJF6ddff001vuDatWsu94OGtw9NSGvQkIbw559/kpubG82cOZM2bNhAixYtoowZM/JIaiJZo86RIwdFRka+8OF45MgRCgoKcknFco7WTim4ZsyYQR07diSbzaZ6cFeoUEFFCOKMW7duveYMXw/OLxDr1q2jkJAQ+uOPP2jLli00ZcoU8vb25j5xq9VKM2fOpNmzZ9OqVav4/FIKGNbngwcPaODAgZQtWzb69ttv+X7n9mwd0qugdl5fm82mmntSUhLVqlWLihYtSmvXruXrmdI3r5m63y00Ia1BQxrCgAEDqHnz5qptJ06coMDAQOrWrRvfNnPmzFRZrxhWrlxJJUuWJCJZ6Pz8889Uu3ZtKly4MPXu3dul/enTp2natGl05coVInIQfsTFxVGtWrWoWbNmROQQ7JIk0Z07d2jQoEH8mHeJbdu2UceOHWnkyJF8W3JyMq1du5b8/f1p6tSpqR7HNGkiolmzZtFXX31FVapUoXXr1tGjR4/o2bNnFBkZSeHh4SrOaeeXn/QqhJznNXXqVGrRogUVK1aMli9frroPateuTUWLFqUBAwZQREQE+fr6pmuzf1qDxt2tQUMaARHhypUrePz4Md8miiKKFCmCESNG4PDhw7h//z4AoEePHggNDVUdCwBxcXEAAC8vL8TFxeGbb75B1apVsXLlSmTMmBFt27bFggULsHPnTn5s165d0aVLF3To0AG5c+fGgQMH0KFDB0RFRcHLywt9+vTBqlWr8O2333LuZUEQMGvWLGzfvh0+Pj5vfS0YpzgR4erVq/j666/x008/qdbGbDYjIiICDRo0wJEjR1KtCGY0GgEAAwcOxOjRo+Hr64uCBQuiffv2GDVqFHx9fdG1a1d8/vnnWLp0KYYNGwYAqtKT6bEeNOCYV2RkJCZMmIB8+fKhcuXKGDFiBKZNm4bTp0/DbDZjw4YNKFasGC5cuACTyYTHjx+71NvW8A7xnl8SNGjQ4ISffvqJcufOTZs3b1ZtX7ZsGeXOndslgpvIYYrdunUr9enThw4dOkRJSUk0YMAAqlWrFvXs2ZNXK7p9+zaVLFmSR+3u3buXsmfPTvv27eP9rVy5kgoVKkRt27alqKgoInKkKtWvX59atWpFLVq0IB8fn3cSJOaM6OhoIiLasWMHlShRgvLkyUN//PGHqs2wYcOoTJkyKrpPZ/z111+UK1cuHrV++PBhF27pe/fuUY8ePeiLL75It6bt1PDzzz9Tzpw5+f1x8OBBEgSBcuXKRR06dOCxDKIoUmxsrOaDfg/QhLQGDe8B7GH38OFDioqK4gLm5s2bVLt2bfr888+5oBZFkfr3708VKlR4IZPX2rVryc3NjcaPH08nTpzgx6VMvxo+fDjlzZuXB3jt27eP3N3d6eHDh7RhwwaqWbMmEckpX+XLl6c2bdpw6tG9e/dSmzZtqH79+tS9e/dU+bzfJubMmUOVKlXiZtm//vqLSpcuTfXr1+dr8/TpU6pUqZKLi8AZGzdupMqVKxOR/BLk7e1Ns2fPJiKi2NhY+vvvv4lI9lGndx90SmzcuJEXatmwYQP5+fnR4sWLae7cuWQ2m6lz586qlDyi/87apBVoQlqDhv9nsIfcunXrKH/+/BQaGkpZsmThhCQnT56kiIgICgkJoZIlS1LNmjXJ19eXC9+UuHz5MuXJk4fmzJnzwnP+9ttv1KNHDwoICKDjx4/Tt99+S1u3biWLxULNmzcnf39/MplMqjzjWbNmUbly5ah169Y8QIy9TPx/aFLjx4+nKlWqqLZt27aNSpQoQd7e3lS+fHn6/PPPqWzZsnxcqQmQhQsX0scff0xbtmwhHx8fFTXomjVrqF27dqqAuv+SEHr69Ck9fPiQHj9+TGXLlqXvvvuOiOTrnCNHDgoKCnppfWgN7x7p09miQUMahiAI+Ouvv/DFF1/gyy+/xNKlS9GxY0ds27YNffv2RZYsWTBv3jzMnDkTRYsWRdWqVXH48GEUKVIEP//8M86dO6fq78mTJ7Db7ahUqRLfRoqPGpD9u2fPnsXjx4+xZ88ebN++HZGRkQgNDYXJZEL16tXx/PlzuLm5ISIigh/XvXt3tGzZEtevX8eIESMQFRUFs9kM4O3XBU7Nv1mmTBncvHkTd+/e5fWMa9asicmTJyN37tyw2+2oWrUqDhw4ALPZjOTkZJe62ADQvHlzmEwm1KlTB+PHj0f37t0BABaLBYsXL4bVakVQUBBvn1of6RUBAQHIlCkTnj59ikePHqFw4cIAgHv37qFKlSqYMGECvvnmm/c8yv82DP/cRIMGDW8LoihCp9Ph119/RaNGjdC/f38AQMWKFZE7d25MnToV8+bNw+DBg5E1a1bUrVuXH3vkyBHMmjULP/30k6rPhw8fIiEhAf7+/gAAm83GA6YOHjwIs9mMgQMHIiEhAQCwZ88efPvttwgLC8PmzZtx584dzJo1C5s3b0Z4eDiOHDnCg9K6d+8OnU6HmTNnYsKECZg5cyb0ev1bF2RM6P/4448ICAhAtmzZEBUVBaPRCLvdrgrkqly5MiZOnIiRI0di9+7dKF68OEqXLg03NzcAwNKlS3Hu3DkEBwejYMGCqF69OiIjIzF69GisWbMGRYsWRVRUFJYuXYo7d+7gxIkTEAQBRPSfEtDOSEpKgtlsxr59+yBJEmbMmAGdToe2bdtCEASIovjWX8w0vCLetyqvQcN/EZ06daJ69eoRkToVZsCAARQaGvrCFBdWYOP06dN06tQpIpIJRYKDg6lFixYu7Xv37k2RkZGqVKSOHTtSYGAgLVmyhARBoHXr1hGRTH1Zs2ZNCgwMdEnvWrBggQvL2dvAL7/8Qr/88gsRySxrJUqUoJIlS5KXlxeVL1+eBEGgEiVK0MSJE2nBggV07NgxTuKydetWqlChAtWsWZNXqRoyZAh5enpSnTp1KG/evBQWFkYjRowgItlUXqFCBQoMDKRSpUpRs2bNXkh2kl7gbLpnc3xRStmoUaMoLCyMcuTIQeXLl9eYxNIINCGtQcM7xM2bN2nmzJk0ZcoU2rRpE98+YsQICgoKotu3bxOR48G5bt06KlCggKraFZGaVOPu3btUpEgR+uKLLzjd56pVq8jX15eaNGlCFy9epMOHD9OgQYPI19eXB3ixPiwWC+XJk4eMRiNNnz5ddf5Lly5RrVq1KDAw8J0IZWfMmTOHDAYDLynpjGvXrtHZs2d5jehPP/2UMmfOTMHBwVS7dm0+l99//51q1KhBd+7coePHj1P16tVp7969RCRHbE+dOpWyZ89OEyZMUPUdFxeX7iOVnYXrypUraezYsan67p2F9uXLl+nSpUt8W3pdmw8JmpDWoOEd4dSpU5QtWzaqWLEiBQUFUUhICM2cOZPvL1WqFBUtWpRu3brFmZ569uxJZcuWpbi4uJf2PX/+fCpdujS1a9eOV6batm0bhYaG0kcffUShoaFUsGDBVFOkTpw4Qf7+/hQaGkrZs2fnFYzYg/vy5cv06aefkiAI70xQz507lwwGA61du/aFbURRpIYNG3I2sPj4eLp3756L1puQkEAzZ86kOnXq0CeffKKKgH/8+DGNGDGCypQpw+fiLJTSq5boPMezZ89S2bJlKX/+/DRr1qx/FNQv26bh/x+akNag4R3g1KlT5OHhQZGRkZScnExHjx6lsLAwqlixIj19+pSIZP7okiVLUqZMmahixYoUERFBPj4+LlHczhqwMxYtWkTFihWjdu3acW05KSmJ9u/fT6dPn+YRy0lJSZSQkEAPHjygmJgYSkhIoCNHjtCtW7eobNmylDVrVl44g53rwoUL1LhxY5fSmG8D8+fPJ6PRSOvXr1dtnzZtGp05c0a1bfTo0VS5cmWy2Wwq4exsvpckiVasWEEBAQHk5eXlUvf50KFDZDAYaM+ePW99Lmkdffr0odq1a1P16tUpa9aslDVrVvr+++9fGg2vIW1BE9IaNLxl3LhxgwIDA11ydz/55BMKDg7mJm6G6dOn0zfffENDhgxxEYrsIbplyxaqX78+tWvXjmbMmMH3OwtqZ+HOtKDz589Tw4YNqXDhwuTt7U2hoaH0ww8/8FrP58+fp3LlyqUqqJ0F4dvCvn37SKfTqYpaEBHVq1ePihQp4kLWsmjRIgoJCXlhf/PmzeOuga1bt1JwcDC1bNlSVfUrKiqK8uTJk6pZPT3jp59+In9/fzp+/DjFx8eTzWajZs2aUdGiRemHH37gL32aoE7b0IS0Bg1vGTt37qScOXPSl19+SQcPHiQiogkTJpAgCFSkSBGqVq0aff755zRw4EC6desWF5gvwq5du8hgMFDHjh2patWqVLBgQerQoQPfv2jRIipdujQ1adKEzp07xx+6p0+fJl9fX+rcuTMtWbKE5s2bR82bNyedTkctWrTgpR7PnDlD5cuXp9DQUHrw4ME7WhUZBw8epNq1a1PNmjVp69atRETUqFEjKlSoEDdHOwuNnTt3Up06dVI1vZ47d46CgoLo0qVLfNu6desoa9asVKdOHVqwYAFt27aNPv30U8qfP3+6DQ57Eb777jsqUqQIJSYm8vWLi4ujiIgIypw5M02fPl3TqD8AaEJag4Z3gI0bN1KpUqWoXbt21KVLFwoMDKT169dTVFQU7dq1i6ZNm0a5c+emzJkzU9myZclqtaYqiC5fvkyLFi2iH374gYhk8om5c+dSnjx5qF27drzd7Nmz6ZNPPuHsYI8ePaJixYrxUo4MCQkJNG/ePDIajdS9e3cikh/QZ8+epQIFClD+/PlJFMV3+tA+cOAANWzYkKpVq0YlS5akIkWKcLIU5/MyIf6iAK8nT56Qn58fjw5n2LBhAwUFBZEgCNSsWTPq2bMnF9D/BUHN7qPvv/+ewsPDuaWBac6nT5/mZDDz58//T6zJhwxNSGvQ8BbhLGR+++03Kl68OLm7u9O0adNc2lqtVtq8efMLq1ldvXqVChYsSJkzZ1YxgT1//px+/PFHyp07N3Xs2FG1neHgwYOUP39+FfeyM7777jsSBEHFg33hwoV3GtHtvDb79++n+vXrU0BAAM2bN8+lbUREBBUqVChVmk7n7xUrVqS5c+cSkex7Z9i8eTN99NFH1K9fvxeuQXrBi+Z1584d8vb2ps6dO6u279u3j5o1a0b169enEiVK/KMlR8P7hSakNWh4y3AWIozGsmXLljyXl+jV/L13796lyMhICgoKcnnQxsTE0Pz58ykwMJB69Ojhcl62j5kzUz7IL1++TJkzZ6YpU6a8/gTfEg4dOkQNGzbkpSMZIiIiKCwsjK8RK/JBRPTDDz9QtmzZqEaNGjRq1CjKkycPNW7cmJ49e0bx8fGq/letWkVZs2albt268Zzy9Abna/7jjz9Sjx496Ntvv+XxCb///jt5enpSq1ataNeuXXTy5EmqU6cODRgwgB49ekSCINCqVave0+g1vAo0Ia1BwztASo26VKlS1Lx5c+6j/qdjGO7du0cjR46kkJAQGj58uGrf8+fPacmSJanWc965cycJguASQe2MsLAw6tev36tM551h//791LBhQ6patSr99ttv1LBhQ5WAnj17NtWsWZMePnxIdrud/vrrL5o2bRoNGTKEPvvsM8qfPz8JgkA5cuSgEiVKULNmzVT+9nXr1pGHhwf16dPHJTr+Q4fzi1dkZCRlyJCBatasSUWKFKFChQrxaPZdu3ZRzpw5KVu2bJQlSxYqWbIkJSYm0qNHjyhv3ry0f//+9zUFDa8ATUhr0PAvwATr/v376dChQ6nuI5IFdbly5ahOnTq86lJqbQ8fPkwLFiygSZMmcTPt06dPaeTIkZQ3b14XQf0i3/GlS5fo448/pk8//VRVrUqSJLLb7fTkyRMqX778O9OiXsenvX//fmrcuDEZjUbKmzevSkC/7EXDZrPR8uXLqXr16rRu3TpasWIFdejQgdq0aaMSyL///jtdvnz5300ojcHZj3zp0iX66quvePnRQ4cO0RdffEGhoaG0c+dOIpJLfp48eZKOHz/OhfuQIUMod+7cdOfOnf/38Wt4dWhCWoOGf4nt27eTt7c3/f777y7BTc7CavXq1VStWrUXPhR//fVX8vX1peLFi1NYWBi5ubnR5MmTKT4+np48eUIjR46kggULvrL2y2pAt2zZkj/AGYYPH045cuTgGufbhLOGFxsbSxaL5YVmd4Y9e/bQwIED+frNmjWL9Hq9C9lJyrXbs2cPubm5pSqE30UK2fvGokWLVL9//fVXypYtGxUrVkxVyevYsWP0xRdfUM6cOemvv/5SHXP27Flq1aoVBQYGvrCymoa0A01Ia9DwL/Do0SMaMWIEZ8VKDc6C+kVMYufOnaPMmTPT4sWLeQ3ocePGUUBAAH3//fdEJAuoAQMGUOnSpenx48evdL4JEyaQp6cn5cyZk/r370/9+/entm3bkr+/v0ud4LcBZyE8ceJEqlevHhUrVoy6du2aKvtZali2bBkJgsCjuxmaNm1K3333nYqD+uHDhxQaGkpHjhx5e5NIo/jpp5+ofPnyJIoiX+c1a9ZQREQEeXl5uRDBHD9+nFq1akXu7u5cGEuSROfPn6fRo0e/83rgGt4ONCGtQcMbQJIkOnfuHJlMJsqRIwctWLDgH9un/OssTHft2kW5c+ema9euqQTd6NGjycPDg65du0ZERA8ePHipgGZw7mPt2rXUrl07Cg0NpbJly1L37t3pwoULLse8zTSlyMhICgwMpGXLlnHClZw5c1J0dPRLj3v06BF9/PHHVKJECZVQb9y4MeXOnZunajkje/bsNHXq1H895rSO58+f8+u6e/duvv2PP/6gypUrU7Fixej06dOqYw4dOkQjR450uaZa2tWHA01Ia/hP4W3k/zr38fXXX5MgCNS7d+9/5NtODWvWrKGLFy/S3r17yc3NjZtzExMTiUg22YaEhNDChQtfqT9n4ZzStMxMzikf0Hfu3OHRz2vWrKGFCxf+q4f4pUuXqGjRojxwafPmzeTt7c1Trf7pGmzatIkqVKhAzZs3pxMnTlCzZs2oQIECPFWNHc/GOHny5P9UIYiDBw+SIAg0dOhQvm3z5s306aefUqlSpVw0agZNMH+Y0IS0hv8E2IM9peB6HaH9ora9evUig8FAS5YsUeXq/hOOHj1KgiDQ3LlzSZIkKl++PFWuXJmnEkmSRM+ePaP8+fPT6tWrUx3LiRMn6KeffqKFCxe+MN+atU8t5zg2NpYaNGhAERERNHnyZBIEgVasWPHKcyByLVhx9uxZypIlC1ksFtqwYQN5eXnRnDlziEgmU1m0aJEL/WfKcW3evJnKlClD2bNnpxw5cnDrgbOg6dChg8rf+l8RQg8fPqRJkyZRYGCgKpBw06ZN9Omnn1LZsmVf2bWgIe1DE9Ia0j3Yw/+vv/6ibt26UZs2bWjQoEFv1MfevXtp6NCh1K9fP+4rJiLq0aMHubm50dKlS19JUJ8+fZrmz5+vKqG4ceNGKlu2LFWsWJEuXbpEJ0+epBEjRlDmzJlTDfBavXo1Zc2alcqUKUNVq1YlnU730pSrF+G3336jggULkiAINHbsWCJ6M+KPMWPG0OLFi+nvv/+mihUr0tSpU8nHx4eTjRAR/f333/TFF1+4BLIxOAvq7du3U/Hixalu3bqqyHlRFKl27doUFhaW7jXoF714PHr0iL777jvy9fVVCWr2cuNMcqPhw4YmpDX8J7B27Vry9vamrl270tixYykgIICqVKnyjz5SZ6xZs4Z8fHyoTZs21LlzZ8qUKRN99tlnfH/Pnj25WTc1Qc0E0J07d6hYsWLk5eVFo0aN4vutVitt2bKFKleuTO7u7pQnTx7KnTt3qgFex44do8DAQG5CvnLlCgmCoOrvn8AE8Z07dyhfvnwUFhZGjRo1UgUZvcrxRDJxiJ+fHzeb16hRw2U8iYmJVKdOHfrss8/4sSnPkdJXv2XLFs5LzgR1nTp1VKla6VGDThnF/v3331PXrl2pTZs2fF90dDQX1CNGjOBtDxw4kG7Z1f6L0IS0hnSP+/fvU6FChTg15927dyk4OJi6deumavcyoXTz5k3KkycPr0B19epVCgwMpM6dO6seiG3atKHMmTOrgnycU4FYlavp06dTWFgYlStXLtXz7d+/n86cOaNKq3HG+vXrqVGjRkREdP36dc6sxcD4ml80J7Y9KiqKkpKSKCoqijZs2EBVq1alevXquQjql6Uz/frrrzR9+nTOL87OX7JkSZ7bPX78eKpSpQrlz5+f9+WsBac01acU1GXKlKHmzZtTkSJFVGQn6VGTHjx4MPn4+PDgvpEjR5K/vz+1aNGC8ubNS8HBwdzMHx0dTZMnT6aAgADq06ePqh9NUKcPaEJaQ7rH1atXqUCBAmSz2ejOnTuUJUsW6tKlC9+/bdu2Fx7LhMXRo0epUKFCRER069Ytypo1K3Xt2pW3cy6D6CxYL1++TG3btiWLxUKrVq0iQRDoypUrvNBFWFgYtWzZMlWB/jJ8//33VLZsWbp8+TJlz55d9bKwadMm6tq1K8XGxr50Ths2bKA8efKofNC//PILVa1alRo0aMAF9YQJE2jx4sWpCvxnz56Rv78/CYJAffv2Ve1LSkqiDh060CeffEI1a9akr776igtVZ+E6cOBAatWqFT18+DDVcRLJxTayZ89OpUqVStcCmkgmr6lQoQKFhYXRmTNnqEOHDnT48GEiktfk888/pwwZMvB7Ljo6mkaMGEE1a9Z0sURo+PChCWkN6RbMDHrnzh0qUqQILVu2jEJCQqhLly78QX/t2jWqV68e7du3T3Use9AxjfTkyZNUpkwZ2rZtG2XPnp26dOnChcTZs2epTZs23Czt/JA8deoUCYJAFSpUIL1eT0uWLOH7EhMTac6cOVS0aFFq3bq1S9Tyy7Bv3z4qV64cBQQEUNu2bYnIoTn17duXGjdu/NLCCYwuc9q0aS75sr/++ivVqFGD8ufPT02bNiVBEF5qAr98+TKnomQasbMWl5ycrBKozi8ihw8fpoIFC3IhlBLO5zt27Bhfm/QqoNl8o6OjqUyZMpQlSxYqWrQonT17VtXu888/p4wZM3JBHRcXl2pgoIYPH5qQ1pCu4EzT+b///Y/u3LlD8fHxVK9ePXJ3d6fPP/9c1X7gwIFUqlSpVM3KR48epUaNGtHDhw/p1q1bVLhwYTIYDPTll1+q2vXr148qV67skr/MBAqrOFWqVCl6+vSpqk1CQgLNmTOHSpUqRQ0aNEjVR0skvyT89ddfvEiHKIrUvn17CgwMpGnTptHz58/p1q1bNGjQIAoMDHR5qDvj8ePHVKJECfruu++ISBZ4CQkJtGbNGrp9+zYRyXm4Q4YMoebNm/O+nAWv1WpVUW9evnyZQkJC6JNPPuE1qVMTFs7bJk+eTD179lRZNVJDyn7Sow+ayNU8HRMTQ3Xr1iVBEDi9p3ObJk2akCAIqiA8TUCnP2hCWkO6AXtArV69mnx8fGjUqFF0/vx5IpKFdmhoKNWtW5fmz59PW7ZsoR49epCvr+8LKyT9/PPP5OXlxbXITZs2kU6no3bt2tGmTZvo0KFD9PXXX5Ovr68LiYSzVrNs2TIaNWoUeXp6UqNGjVzKQcbHx9MPP/xA5cuXp7t377qMY926deTu7k5hYWFkMBhoyJAhRCQLq1atWlHBggXJ3d2dypQpQ7lz5/7H9JubN29Sjhw5aPfu3RQbG0ujRo2iihUrkl6vp48//ph27NjB2zKN1VkwTpo0iRo3bkwFCxak8ePH8wINly5domzZslHVqlVdTNepoVu3biQIAhUrVizVlKz/EpyF76ZNm7hlJzo6mipVqkS5cuXi97KzIB48eHC6fWnRIEMT0ho+eDg/tA4fPkwZMmSghQsXuvh3d+7cSY0bN6bMmTNToUKFqGrVqi4COqVP7/PPP6dPPvmEk4ts2LCBSpYsSRkzZqT8+fNTmTJl6OTJk6mOZ8eOHTRkyBCuYR8/fpwLamfmLGYmd64HzfqJj4+natWq0cKFC+ny5cu0bNkyMplM1L17dyKSH+7nzp2jFStW0KFDh1IV8qmhdu3alCFDBsqcOTM1aNCApk2bRvHx8RQeHk69e/fm7VL6tQcNGkQBAQE0ZswY6tixI5UpU4bKlStHW7ZsISJZo86ZMycVLFiQuwrYOFPD8OHDSRAEmjFjBqdD/a/B+X7r378/5c2bl6ZMmcJfXKKjo6l8+fKUJ0+eVAU1Ufo1/2vQhLSGDxjHjh3jLFoMM2fOpAoVKqge+M4PMJvNRo8fP6anT5+61B92hjM3cqlSpVTl/B4/fkxXrlyhW7duuQhWhjVr1pC3tzcNHDiQDh48qCIf8fT0pCZNmtCePXto5MiRZDabVZonaxsXF0fPnz+nAQMG0L179/j+9evXk8lkoh49evyjFsX6Onv2LO3evZuTosTFxdG8efNo/vz59Pz5c75GLVu2pFGjRpEkSVSrVi1atWqVqo98+fKpNO09e/ZQy5YtqWrVqjxy/fz589SoUSMVxzbD0aNHad++fZyNjIiod+/eZDKZaOHChfxl6L+IqVOnUsaMGenAgQMu93V0dDRVqFCBwsPDXaw2GtI3NCGt4YPEsmXLqESJEi55zn369KFSpUrx384C4tixY6lqmkwIHTt2jMqXL09Hjx7l2m9CQgIVKVKEmjdv/spjO3fuHAUHB9OsWbNU25kgPHnyJGXJkoUKFy5MH330Uap50OvWraMKFSpQ0aJFKTg42KUM5vr168nT05M6dOjwwjrJbF5r1qyhHDlyUJEiRShXrlxUoEAB7ttmiI6OpmHDhlFAQABdvHiRevbsSTly5FBZI06cOEF+fn6qSHYi2WIQEhJCf/zxh8sYnF+QBg0aRAUKFKCQkBAqWbIk1apVi+/r168fmc1mWrRo0X9OoxZFkeLi4uizzz6jSZMmEVHqDHkxMTGUO3duatas2XsZp4b3A01Ia/jgsGjRIoqJieEsXPfu3ePkIWvXriWDwUAbN25UHZOQkEB9+/al9evXpxpcs3btWpoxYwbVqVOHQkNDqWHDhrRmzRoiklnGwsPDadOmTa80vvXr11ORIkVUQWLsYcv+3r59mw4fPqzSkBmOHDlCGTNmpB49etDAgQPJbDZTixYtXAgufvnlFwoKCuKBWqlh//795Ofnx0scXrp0iQRBoNmzZ/M2f/zxBzVo0IBy5MhBx48fp4SEBKpZsyZnsho8eDDdunWLbty4QeHh4bRw4UIXt0D+/Pldal07Y/LkyRQYGEgHDx6k5ORkGjlyJAmCoKL17Nu3LwmC4HLt0iNSmv9FUaTChQunSkaTlJTEXSrx8fGaD/o/Bk1Ia/igMGLECBIEgVeFOnXqFOXNm5eWLFlCiYmJFBcXRy1btqTcuXPTb7/9RkRyGtWwYcMoKCiIH+eMw4cPkyAInL1r1apV1L17dzIYDNS8eXMaNGgQffrppy8tR+mMn376ibJmzZpqxaYdO3a8sJ40kezTnThxIo0ZM4Zv27VrFxmNRmrbtq3Lsf9U1GPOnDnUqlUr3ndoaCh17txZ1SYqKopmz55NV69e5dtYRPoXX3xBgiDwNK2uXbtSQEAA7dq1S5UuVLRo0RdWArNardSmTRv+orBhwwby8fHh6+3s954+fXq69686R95PmzaNNmzYQFarlapUqaJisGO4dOkSdenShS5dusS3aYL6vwNNSGv4ICBJEt2+fZvy5ctHv/76KxERr/ZTp04dKlq0KP3vf//j9XK7du1Ker2e8ufPT0WKFKHg4OBUo57Pnj1LCxYsSFUAHzp0iNq3b09ly5YlQRAoe/bsr+Qz3bdvH3l6etKsWbNcBE6XLl1o9OjRqRb6ePr0KWXLlo3MZrMLG9ru3bvJaDRShw4dKCoq6qXrREQ8Ir1Xr17UuHFjiouLo2zZsqlITxYsWMDNq6khPDycdDqdSusmImrevDn5+vpSz549aeTIkVS9enUqWLAgn2tKS4XFYuF56lu3biUvLy/ep81mo8mTJ9P//vc/1THpVVBfvnyZBEGgSZMm0TfffEN+fn6cWezw4cPk4eFBPXv2pISEBLJYLPT8+XOKiIigiIgIjUHsPwpNSGv4IMAeUDVq1KDGjRvT4sWLydfXl2t/DRo0oPz589PPP/9MoiiSKIr0559/0uTJk2n58uUuaU9EMnNYiRIlyNvbm8aPH09EDqINdr64uDiKioqib7755oVpVn///Tf973//o2+//Zb7vMeOHUsGg4F++OEHOnfuHEVFRdGAAQMoQ4YMKo3IuR8iOQI9d+7cVLZsWTpy5Iiq3Z49e0gQBOrevftLNalNmzaRv78/HTp0iHbs2EGlSpUiPz8/rkGzufXq1YtatGiRagDd3r17qVixYtS4cWPS6XQupv6xY8dSgwYNqFKlStS+fXu+bsePH+fBdJGRkbRu3ToikguQVK9enXx9fXlFLCLZVfHpp5+qtqVn2Gw2WrFiBRkMBvLx8eHkL+ylZN26deTp6UnFihWjkiVLUpkyZahQoUIu96WG/w40Ia0hzaN9+/bUtGlTstlstGHDBgoPDydBEGjmzJmqdkxQ//TTT68UfBQTE0Pfffcd5cyZk6pUqcK3v44pcfXq1ZQ5c2aqWrUqlShRgjJkyMADxsaNG0dBQUGUMWNGKlCgAIWGhqq0+ZQMY+wB/Oeff1KOHDmoVatWLtr//v37eRqOM1hft2/fpg4dOnBN9ebNm1SvXj3KnTs3LVu2jIjkUodDhgyhTJky8b5SPvyTkpIoNjaWYmNjqXPnzqTT6Wjz5s2qNjabjQuPxYsX0+nTp0kQBBo5ciR169aNvLy8uGl3z5495OHhQWXLlqUrV64QkUyfWqdOHSpXrtx/yny7du1aEgSBdDpdqpaMqKgomjBhAkVGRqrM/+nVuqDh5dCEtIY0jeXLl1NQUBDPZ/7jjz/I29ubcubMSW3btlXl4hLJgrpo0aK0cOFClzQWZ42VPfAY41doaCi1a9eO738VoXHixAkKDg7mVJ/x8fEkCAJNnDiRtzlz5gzt2LGDduzYoQoSc86l7tGjB7Vs2ZLGjRvHU7G2bdtGOXLkoJYtW7rkYb8Ihw8fpiZNmlCpUqVUEeMnTpyg+vXrU2hoKIWEhFDZsmUpJCSEvwA4C+jffvuNlixZQrNmzeIa9rNnz6hr166k0+l4PjSzVhARVahQgT7++GMikl9ajEYjmc1mnmbF2m3ZsoUyZsxIJUqUoHz58lHZsmWpePHi6bqaFZFrpLYoinTt2jVasmQJ6fV6Gj16tKpdakiva6Phn6EJaQ1pGlOmTOEC4M8//6S6devSxo0badGiRVS2bFlq2bKlSxpW1apVqXz58iruavYA3L59O/Xu3ZuqV69Oc+fOpWvXrpEoijRz5kwqXLgwdejQgR/j/GA8cOCAy3k2b95MNWvWJCKiCxcuUEhIiKqO7z+xaK1bt47c3NyoY8eOVKNGDSpRogSFhITwgLM//viD8uTJQ/Xq1Xul3Ni//vqLChYsSEajUcURTiRr2AcOHKAJEybQ77//nmpQ24ABAyhbtmxUo0YNypkzJxUoUICbue/fv0/dunUjk8nETdhEcuGLXLlycRP31KlTKVu2bLxMJUtlY+t/6tQpWrlyJY0aNYpWr16d7rm4nV+Anj17prqHEhMTafbs2aTX67m7hUhOR2NWC43mU4MmpDWkaWzfvp1KlSpFNWvWJEEQ+MPLarXSrFmzuKBOSSrCOKidsW7dOl5TetiwYZQlSxaqXbs2PXz4kGJjY2n69OlUrFgxatq0KT9GkiQ6cuQICYJAY8eOVQn+qVOnUunSpen58+cUEhKiCsrasGED9evX74Vm98ePH1ORIkVU5s4zZ85QjRo1KDQ0lB49ekREshAsXLjwKzOJ7d+/n8qUKUNVqlSh7du3v9IxRLK5Ojg4mFssNmzYQIIgcM2ZiOjBgwfUvHlzqlChAl+bCxcukLe3N82ePZuGDRtG+fPnp2fPntEvv/xCgiDQ4MGD//FlJb1qic4CeuLEiVSuXDkqUqQI1atXj98XVquV5syZQ4IgUKNGjXj1q/T60qLh9aEJaQ1pHl9++SUJgkCVKlVSbbfZbFxQt2nTxsX07Yzbt29T4cKFeYCSJEnk7e1NAwYM4NpKQkICTZo0iSpUqED37t1TaTHfffcdGQwGGj9+PH8huHHjBhUoUIDMZjMPymLH9OvXjz799FM+JpZmxPbfuHGDgoKCVAQgdrudTpw4QcWKFaMZM2bwh3xKQe+co3zp0iXat28fHTx4kJOa7Nq1i8qVK0cNGjRQEY+8TCsbMWIE9erVi4jkFDJfX1/u146Pj+dR7U+ePFGZbZOTk+n7778nX19fMpvNqsjzpUuXkiAINGzYMP7S0bx5c5Xg/y9g8ODBnNxm69atlClTJqpatSpdvnyZt9m0aRPVq1ePunXrlu7N/xpeD5qQ1pBmwB7+iYmJlJycTFeuXKH79+9TmTJlqH379lSqVCnq0KEDJy4hkh9kc+bMoXz58lHnzp1TZWoikstVFi1alBISEujy5cuUJUsW6tSpE99/8OBBzvz07NkzfrxzXvIPP/xAgiDQ+PHjKSYmhhITE2nIkCGUO3duGjhwIBHJQjMyMpL8/f150NSTJ08oQ4YMPC+YSC7fWLx4cV4sg0GSJCpVqhT17NlTtS1lGyLZ/xsSEkJZs2alkJAQyps3L6fm/Ouvv6h8+fLUuHHjlwpFJhAaNGhA/fr1oyNHjqhSpCRJokmTJtEPP/ygOs55fQcPHkxGo5EyZcrkkq61bNkyMhgM1KBBAypZsiTlzp37lWtmpwds3ryZChYsyP3zmzdvJm9vbwoKCqL8+fPzIDoiUjHHaZq0BgZNSGtIE2AP/fPnz9Pnn39OBQoUIIPBQNWqVeN+3unTp1OJEiWoY8eOqqAwm81GCxYs4GlWN27coHnz5qkio0+ePElBQUG0a9cuypUrF3Xs2JGf89SpU9S8eXNe8o9tP3HiBIWEhNC2bdt4P0xQjxs3jkRRpEePHtGQIUMoJCSEfHx8qGDBgpQvXz7VuRnbmclk4hHWVquVevbsSWXLluXMZgwNGzakoUOHurB6OWvUBw4cIC8vL5o/fz5duHCBDhw4QDVr1qTMmTPztLS//vqL8ufPT61ateLH7tixg6ZOnUr9+/dXkYisW7eOsmXLRjqdTuXPjo+Pp4iICBowYIDLtWKCZN68ebR7924aO3YsZcmShaZOnaqaz/r166lbt27Uq1evdB+pzAIFmVvmxIkTPJBw69atFBgYSHPnzqWbN29SxowZqVq1ai7R+pofWoMzNCGt4b2DPZROnz5Nvr6+1KNHD1qwYAGtXr2a6tevTzqdjpo1a0bR0dE0a9YsKlasmIugZjh9+jSFhYVRw4YNXVKGWrRoQYIgqHzORHI+b8mSJenevXtcAJ08eZLc3NwoMjJSNUYi2RfNfNSSJJHFYqEHDx7QTz/9REePHk2V6jMmJoaGDRtGgiDQypUriYjo6dOnVKtWLSpdujT17t2bVq1aRT179iQfHx9OcMFw9OhRypUrF6dCnTt3LlWrVk1lEo2NjaVq1apR4cKFuba6f/9+/vIyf/58ypQpE1WrVo2Cg4Mpb968vN3Vq1epRYsWFBYWRsuXLyer1Urnzp2jiIgIKlasGBeqP/30E7Vp04bOnTvnEgdw48YNGjp0aKqC2ll7Tq8CevHixRQWFkaBgYHk7e1NdevWJSL52ickJFC1atVo2LBhRCQHkZUsWZIEQaAWLVq8z2FrSOPQhLSGNIFHjx5R0aJFadCgQS7bZ86cSW5ubtS+fXsikjXqsmXLUvPmzVWC+sKFC+Tv70+DBg1KNdBq9+7dVKVKFQoLC6Pt27fT6tWrqU+fPuTt7U0nT55UCWh3d3cuoBkYNSaRWqN2FlYpzew2m00l4MuXL0+CINDSpUuJSBbU/fv3p7Jly1KePHmoYsWKnC2M4eTJk+Tt7a0qITly5EjKlCmT6jxEcupWaGioinqSSBbqBoOB1q5dS3Fxcdzkf/jwYT6+M2fOUIcOHcjX15cyZcpEBQsWpEqVKnEB+/TpU8qVKxfP+/7yyy851SfD9evXuaD+/vvvXa5BesXcuXPJZDLR4sWL6fDhwzRlyhQKDAzkJUXv3btHYWFhnJc8Li6O2rRpQxcuXNAISjS8FJqQ1pAmcPz4cSpQoACdOXPGhdzj+fPnNGbMGDKbzbR9+3ZKSkqiMWPGULVq1bjWmpiYSI0bN6YePXqo+rVarRQVFcU5u8+cOUNNmjQhX19fKliwIFWvXl1VU/rKlSvk5uZGQ4cOJSKHBj127FiKiIhQack//PADGY1GGjZsmCrq+9atWyofLpvHxIkTKWPGjNS0aVMSBIELOLvdTqIo0sOHD13Yv06dOkUeHh40ePBg1faDBw9SqVKlaOLEiSot9ejRoxQSEqKa07p160gQBM5lztYrLCyMunXrRpUqVaIZM2bQkydPyGaz0cWLF2nNmjX0999/q0zbdrudIiMjae7cuXTs2DH67rvvyNfXl5o1a0ajR4/mPtXo6GgaOnQo6fV6F7rP9IgXrW9ERAQnyZEkifLnz0+ffPIJrVixgqpUqUKlS5fm66sFiWl4ETQhrSFNYPHixeTm5sZ/p/TLXb9+nXx9fTnHdlJSkqrKlNVqpQoVKtCMGTP4tq1bt1Lv3r3Jx8eHsmfPTrVr1+b7rl69SvHx8Sq/rCiKFBkZSRkzZqRp06bx7ePHjydfX1/aunUrEakfqOPHjyd/f3+eZmS322ngwIEUFhamIjUZN24cBQQE0Pbt28lms9HQoUNJEATuo04NUVFRlCFDBhfz/PTp06lTp07UsWNHqlKlCl+TuLg4GjJkCOXLl4+ToiQnJ1PXrl0pV65cKs22YcOGFBwcTAMGDKA6deqQwWCgQYMGqYLynNeFYcuWLeTj48NfApKSkmj48OEkCAIVLlyYxo0bRxcvXqQHDx7Q/Pnz073wcV5f53uPSC5GUr16dX6PnTx5kgoVKkRFixalGjVqaFSfGl4JmpDWkCawd+9ecnNzo9WrV7+wTdGiRVUmX2fExMRQeHg4derUiS5cuEDjx4+nvHnzUqNGjeiHH36ghQsXUq5cuahPnz5E9GLN5e7du/T1119T6dKlac6cOTRx4kQKDAzkAjo1OL8sEMkR4c59TJo0iQIDA1U+8vj4eF7R6+eff0613xs3blDJkiWpXr16tG/fPiKSXwo8PT3pxIkTFB0dTd27d6fw8HDy8fGhMmXKUIYMGVyoRO/du0dff/01lSlThr7//ntq3LgxFSlSRFURrHXr1hQUFMTJR16GHj16cDMuEdHHH39MDRo0oIEDB1KtWrVcXj7Su6Bm61uqVClOSrJ582YSBMGlxrbdblel96VX/7yGtwdNSGtIE7h9+zZlypSJ6tWrp2LDYlrGs2fPqFy5crR8+fIX9vHnn3+SwWCgkJAQ8vb2prlz5/IUF6vVSjVr1qQvv/zyH8dy//596tmzJ+XNm5cMBgPPNXZ+oA4fPpyzk6WmCb1KH3FxcTRu3LhUubgZLl++TLVr16Z69epRp06dKFOmTKpo87i4OLpy5QpNnz6dVq1axQs2vGg8oaGhFBAQwFPLWNT3jz/+SCVLluQa+MuwYMECKl++PD19+pSKFi2qYne7f/8+rVq16j8nfNj6li9fnlq0aEHe3t48Sp7dHymtQ5oGreFVoAlpDWkGa9asIZPJRG3atHEJfBo6dCjlyJGDRze/CFFRUXT06FEXjVAURWrSpEmqqU2p4cGDB9SrVy8qVKgQTZ48WbVv+PDh5ObmxlO2XrcPZwH2Kuk2ly5doho1apC7u7uqn9fVUNl4ihcvTt99951qPDVq1KBmzZq9cvoPi0yuXLmyiyXBud//Eu7du0dfffUVBQUFUf369fn29G5J0PBuoQlpDWkGdrudRyHnzZuX2rdvT0OGDKGWLVtSQEBAqvWgXwUWi4WGDh1KH330kYrl6Z/AtKPSpUtzv+/YsWNfSUC/rA+i139wX716lWrWrEkRERG0d+9evv11c2rZeEqVKsUF9WeffUYff/zxC+tBO4PtW758ORUoUICvg5bbK+PBgwf01VdfUZkyZVTXW1sfDW8KgYgIGjSkIRw+fBiTJk3CpUuX4OfnhyJFiqBnz54IDw9/7b5WrFiBI0eO4JdffsGWLVtQtGjR1zr+wYMHGDduHE6dOgWLxYLTp09j3759KF68+Gv3ceLECVSrVg2jRo163WkAAK5cuYJevXqBiDBs2DCUL1/+jfp58OABxo8fj2PHjuHq1avw8/PD2bNnYTQaYbfbYTAY/rGPu3fvomTJkujVqxcGDRr0RuNIr3Be3ypVqmDs2LHve0gaPmS855cEDRpShd1ufyHF56vi4sWL9Mknn1DDhg1f6vf9J9y/f5/atWtHuXPndslhfp0+2rZtS9WrV//HghMvw+XLl6lu3bpUpkwZOnjw4Bv3c//+fWrTpg1FRETwKOPXNU9Pnz6dAgMDVfnjGmTcv3+fWrduTZ06ddK0aA3/CpomrSFNgoggCILL99fFo0ePYDab4evr+6/G8/jxY0iShKCgoDfu4+HDhwDwr/oAgIsXL2LYsGGYMmUKsmfP/sb9REdHw9fXFzqd7pU1aGdcu3YNo0ePxuLFi6HT6d54HOkVz549g5+fH3Q63b+6hzX8t6EJaQ0aPkBYrVaYTKa30pckSW8sZJnwEUURer3+rYwnveHfrK8GDZqQ1qBBgwYNGtIotNc7DRo0aNCgIY1CE9IaNGjQoEFDGoUmpDVo0KBBg4Y0Ck1Ia9CgQYMGDWkUmpDW8N5gsVgwcuRIWCyW99pHWusnPY4lPUJbGw3/L3hfCdoaNMTExBAAVS3m99FHWusnPY4lPUJbm7SB3bt3U926dSk4OJgA0Lp16/7xmF27dlGxYsXIbDZTaGgozZkzx6XN6tWrKV++fGQymShfvny0du1alzazZs2iHDlykNlspmLFitGePXtU+yVJohEjRlBwcDC5ublR5cqVXeoS/BM0TVqDBg0aNHywSEhIQOHChTFz5sxXan/jxg3UqVMHFStWxIkTJzB48GD06tULa9as4W0OHjyIZs2aoXXr1jh16hRat26Npk2b4vDhw7zNL7/8gt69e2PIkCE4ceIEKlasiIiICERFRfE2kyZNwtSpUzFz5kwcOXIEmTNnRo0aNRAXF/fqE3wtka5Bw1tEWtL00lI/6XEs6RHa2qQ94BU06QEDBlB4eLhqW5cuXahMmTL8d9OmTal27dqqNrVq1aLmzZvz36VKlaKuXbuq2oSHh9OgQYOISNaiM2fOrCq0kpycTL6+vjR37txXntPr8QBq0PAKkCQJ9+7dg7e390upEGNjY1V/3wRvo4+01k96HEt6xH9xbYgIcXFx+Oijj16ZRS05ORlWq/W1z5Py2WE2m2E2m1+rn9Rw8OBB1KxZU7WtVq1aWLhwIWw2G4xGIw4ePIg+ffq4tPn+++8ByIx/x44dcykuU7NmTRw4cACArLE/ePBAdS6z2YzKlSvjwIED6NKlyyuNVxPSGt467t27h2zZsr1y+9dp+y77SGv9pMexpEf8F9fm9u3byJo16z+2S05ORsaQUMQ/evBa/Xt5eSE+Pl61bcSIERg5cuRr9ZMaHjx44MKfHxQUBLvdjidPniA4OPiFbR48kOfx5MkTiKL40jbsb2ptbt269crj1YS0hrcOb29vAECf41GIPnQHACBZ7NC7GQEACVGPAQA6k/xbstuBFG/NerPR8UPZJ8YnKTt1fLuULEfW6j3cAQD2uATlt5tyXit0SuEIQTmfmJQMADAoxwDym7vcpXwue0IiBL1aU5BsojI2E0SLrBmQKMlzMcq81ZLVLvej10FMltvo3c2qtgZ3M59Tws3bbADK3PSQEuWHk87srsxBnrfOzQMkymPIXK00AMAWmyifzyCfP/HeExh9POV5WmzKmshtDN4eEBTth2zyOEVl/SSbHTqj+nFAkjwmnckAsjvmriwUACCLvxtGdimNMYuPIupxorIGNuU4I29LNpt6DZ2vvYL4HevkbR4B8vFJ0dDZ5GulE+W/ks7M+xTd/OR9VrV/zyuimTIOx33F7gcxUe5H0OugY1zjynWWlGuqMxohKeNlx7O2kihCUtaVgd0n7C9JBGv0c7m9sr6CXl5bnZuJrw8DWxvodCCbcl8pf9k9IJhMjv6V+0hKZveFcp8kJyMl9O7u/BjD37LP1WL2k/uU5H6M9jiQkugj6pV7VSdfH52YDJ0kXyNJZ4BNtGHb5a38f/yfYLVaEf/oAfociYLZ2+eVjrHExWJayey4ffs2fHwcx7wNLZohpZae8v//RW1SbntbbV4GTUhreOtgN2D0oTvI0bAMAODBnxch6OTtUqDycPCSHyDJT2JcBITeTRYGgk6APVF+0Bl95QctlH4EnQDRbFW1tysPGTAB4+nDBSgX9ib5vDqjAQYPub09Xnl4K20NBocgZYKNCTSd0QBRZ1X1yR6cgpvjga93lx907AWCtTEHeHNhJfrLD1omNAW9Hnbo+XcAIIM8Rr27B8QkWRC6KVW9jGYP9fntOi4cbbHyC4tOlPtxC/Dl52UPfMtT2VQreOpcroEzbLHyi4NBWTu9mzwmN08jfHx84O7jB2OM3FbnaVDWQBY+Jj8v2BKSVONkgsrk5QNSxmRR5ikpf3V6EwTl4amHqIxEOV7vBp1JnjsUAQi9fA8YjMp2A/EXJMeLg3JN9XoXASy4OV5ujKxvHbu+yroJOkDZxV4wJOXaGdyVFwGLBTof+TibFKM63mBwhyiqH9DsxU6nNzmuj4evY5wAdO7u8rnheCHj94lSaIX0JkA5T8qXXsFkhs4gXzuTIB9nJOUFT2eAXa/8T+iU84ny/W03+8JsiZbnpTPw6/G6Fb3Mnt4we76aYGf/uz4+Pioh/baQOXNmruUyPHr0CAaDAYGBgS9tw7TiDBkyQK/Xv7RN5syZAcgadXBwcKptXgVadLcGDRo0aHinIEl6rc+7RNmyZbF9+3bVtj/++AMlSpSA0Wh8aZty5coBAEwmE4oXL+7SZvv27bxNaGgoMmfOrGpjtVqxe/du3uZVoGnSGt4ZJIsdD/68CADIXC2cf2dmYA6nQmxsH9O6jd4e0JsU7UnREsQkxcTtbuYmWa4VKdog055Fiw0k6ZRtKczXVhtsimbHNB2miYjJDjO5RLIWxjVbu+SkZSvWAataQ4Ug8LGxNiD5r8HdDFFvU+Yga186HwMfk8NSwDR4xeRrNkGypzC1Km24GVsi7ioQlfHr3eRx2BMtvB3T/iQrM/EaYFfMvYJyHCmaosHDHTpFW2MaKdPqSJLb2pMs3I0gWdUlKy3RsQ7TuXJ92HrbE5IBkq+BKfEJAIDdHYbkaBiZmVs5n46U44ggxN1TllW55pJNNW6mtavPJ2v0gl7vMMcb5bFJiY61tSvrw8bLrqtks/P7lc3J4ClroaKyNpLVxs9tf/pI7sdd1tJtVgvAAq6UMUlJssWDzO4gdn1jnyljk+8PvejnmItiCpeUNjpvf2U8EgRFyDATuuAU3OVHzwEACco+IymWIUggu7wuNsjHC5DnZhITYFKuiFW0QRAd7onXgkRcQ36ltq+B+Ph4XL16lf++ceMGTp48iYCAAGTPnh2RkZG4e/culi1bBgDo2rUrZs6cib59+6JTp044ePAgFi5ciP/973+8j6+//hqVKlXCxIkTUb9+fWzYsAE7duzAvn37eJu+ffuidevWKFGiBMqWLYt58+YhKioKXbt2BSBbG3r37o3x48cjT548yJMnD8aPHw8PDw+0aNHileenCekPGImJiWjdujW2b9+OuLg4REdHw2QyuWwrUqQIevfujd69e/+/jk/vZuQC6sGfF5G5WjgA4PqypwAcZkYyGHg7Zn5mQlCy2fnDj/t/mRCxifw49pe9hXPBrNc7TMHKQ5mfl8jJzye6jIkJS2ZpZYItNTgEOBMQotODXelAEUb2JItDQCgPfPZyQqIIuxItrHeX7apSguJnd3PjD18mIPh82Ryd/Og6s7xOzNRs8vDk++yJinnd6SHOxsT6EJW5iFYbHzuEFMY3ZbugE6BXfIbserF+dCYjN2nzlzCD49EjKCZWYoLf5CW3FW0gxTRrEBUhopfnIJAIyeCIKQAAu2Imd2f+bpvo8EkrL0OSk/Bla5byRc95LVK6AAQnwQ+BrYlyDpPj5UbQK753v0BlnZQXNpPJ4YNmfmrWnckMEhUhy14CTYrp3+zGT0u8bneAqm+9pxf3U/OXN4PSn2iHjZQXVx2L91AEMVlgFZRrJyimc2ZaJxE65R6TBAMk4c0qG5NEjnV+hbavg6NHj6JKlSr8d9++fQEAX375JZYsWYL79++rcpdDQ0OxefNm9OnTB7NmzcJHH32E6dOno1GjRrxNuXLl8PPPP2Po0KEYNmwYcuXKhV9++QWlS5fmbZo1a4anT59i9OjRuH//PgoUKIDNmzcjJCSEtxkwYACSkpLQvXt3REdHo3Tp0vjjjz9e2acPaEI6zeL27dsYOXIktmzZwiMOGzRogOHDh3O/ydKlS7F3714cOHAAGTJkgK+vL+bOneuy7ciRI/D09PyHM2rQoEHDu8G7FNKffPIJD/xKDUuWLHHZVrlyZRw/fvyl/TZu3BiNGzd+aZvu3buje/fuL9wvCAJGjhz5r6LSNSGdBnH9+nWULVsWYWFh+N///ofQ0FCcO3cO/fv3x5YtW3Do0CEEBATg2rVryJcvHwoUKMCPTW1bxowZ38c0kBD1mAeJiclWrkHnbFMeAHB14W4AshYoxsoaFg/kUoLFBJ3AzagcTsFaTIO2PFWilphmp1cHiwGAqJglmclWbzZDtFhU7cmkaLZWG++bBaUxLVBnMMCeKGssLDDJock7aZpMe+Laurw56f4TPgbrQznwREqQI5QFkxmUrJg/ncyYAGB98phHCSc9iFbmHauap+XxUxh95WAbptXbYuOU82dwuAFSuBz4esHhTmDnNZiMfL46E3MjML5qFtRmhiTGqs7LHi+22ARIrL2iobGoZ3tcLKCcJxiyafhZtHy9PZEID8UtICnzMyqanCQAMUnP5bMoGq1dIVBMuP9Yma8InRu7PvI+21PFiuPuwU34gqIt254p5mN3d25yJcW8q3NTNPGkJHk/HNHU7JroPWXLh5iQCFGJ0CerEj0fL9+fgrsXny+7VylJbit4OAVJsX3sHjKa+DUS45V1VrRmh5VD4BYhUkzoOi+lTyKYBHkuFpL/mhRzt1mw8YAwUrZZBcXMTjYYIV8DkfQQyMmS8Dqg1zB3v0Tg/hehBY6lQfTo0QMmkwl//PEHKleujOzZsyMiIgI7duzA3bt3MWTIEHzyySeYMmUK9uzZA0EQ8Mknn6S6DQBy5MjBk/AB4Pnz5+jcuTOCgoLg5uaGAgUKYOPGjXz/gQMHUKlSJbi7uyNbtmzo1asXEhSTqwYNGjS8LtJS4NiHBk2TTmN49uwZtm3bhnHjxsHdXe1zy5w5M1q2bIlffvkFV65cQWRkJM6ePYu1a9fCpGgFgwYNctnmDEmSEBERgbi4OKxYsQK5cuXC+fPnoVfe0s+cOYNatWphzJgxWLhwIR4/foyePXuiZ8+eWLx4capjtlgsqkpAjIFJZzLyNCvA4e9lGnTuDpUBADdWHOAaNMvt5b5pJzjnoQKyv5ClBhl9ZC2GBTSx9BhBr+PpQjyNxklrNPnLmkbKgDVB70hJIrurv5dp0CnHxtKubKLo8BUqgVwsaEnv7ubI61ZefnSKv1jQGyDGKRqe4odktgCdycwDi9jYWE4001LERA8eyJQyH1dn1PPjWLqQNUbRsiXiucvM5w+ntWA55czfbPCS11vPAsrsjvgAtyDZV2p9rqRteZjBRsK1bGal8PLi18UqqQPOBBCsimXCXa9YZBQlK95uhBXyua3KNgPkvrlGm5TkuPbsnlH8/ILREXPAzm8OyiTPxWZ3BATa1L57Qa93fE+REsWO0ZlMIFFeX3uCsgYZP+LzYoFizF8sKUJJ5+YOSdG8wXzfLFBLkrifmgWhiSyOQpkTWS3chw148m1sjqISuCgo1ggdHBYISdHX2DYWVAYAbjolwE2yAnizwLF3ae5O79CEdBrDlStXQETIly9fqvvz5cuH6OhoiKIIDw8PmEwmno8HINVtztixYwf+/vtvXLhwAWFhYQCAnDlz8v3fffcdWrRowYPM8uTJg+nTp6Ny5cqYM2cO3NzcXPqcMGECRo0a9aZT1qBBQ3rHO4zuTu/QhPQHhtSYcV4HJ0+eRNasWbmAToljx47h6tWrWLlypeqckiThxo0bqb48REZG8ohKQNaks2XLBsluR/IT5ismOWIajkjkGytkjtvQVuVwfck+3g5winaWCGJiouo4zvBkMHBt0a4cx4klWFpMUrKD1EPRIlkbk78PbHEp+nbSrkS7WmvgvmwPd85OlVI7Z/5cyWaHmJTEx+l8DqZRA4CkaFqS4mcU3Nwd6WBcq1Iixj28+HGMfMWqzI35JS0PH/E2TCORUmEVY5q8xCPnReiMcsSpTdGumf9YZzJyDZhFSdti5HFb9ArpRXwiPy/zkzP/ty0uEbYYNb818+fKUfByO3e9fI4ExXKh0xHMKTRovXLbu+lEJCnRyu4kr4EdLI2NsXbZuT+eMW8xf67ex5cTyBi8lfQo5ru32XialEEJuBSdxsujsxXoTGqrCpEEKVHRlpV93DdttXANmqdy2ZWUquQkp/QsRYNXtGay2xzpc0lq15OkENwIer1jbClTpexWvr5WUbnmio3GIEiwK+vLtrG/EnSwKxq4RXCDTVDP/VWhadJvDk1IpzHkzp0bgiDg/PnzaNCggcv+ixcvwt/fHxkyZHij/lOa0FNCkiR06dIFvXr1ctmXPXv2VI95IfG9IKhSWJgATBkkdn3JPuRsWwEAcGmWnPjPgrUkmx3E+ub5qYyK08C36cxqsyYTMIJeD72HSXU8zxF2Mmvy8AzWxmrjwoMHh+kdZk2dQo/JhDVPt2LpRzqBm1odgWMsEM2xVizoyJAhyDE3JqRZMJtFyZN293A8kBkzmqeb6rzGgABHepcCJqQNnu6OwC1mCue0mR785cHg5alaJxJFlzQlZv5mGVmCTufyEuWgFTXyYDaXIEAnWBRzN8vRlUiAXZLP5xDW8m8r6aFTAqBEhXmLCRaee24yOV1fGQb/AKWNu+Mlil9n5cVFr+eCnoFfe73ekQLF5seuJ3spstscwlkRqJy+1suHm7RZvrNKoLIXMraN3QuSU26+0rf0VA46FNyUlzdB4BSnjrx/pR+DibtNmFuA4FgbZuZmZm/WRoKOt3OjJL7mrwtNSL85NCGdxhAYGIgaNWpg9uzZ6NOnj0qoPnjwACtXrkSbNm3eWJMuVKgQ7ty5g8uXL6eqTRcrVgznzp1D7ty533gOGjRo0KCCZu5+Y2hCOg1i5syZKFeuHGrVqoWxY8eqUrCyZMmCcePGvXHflStXRqVKldCoUSNMnToVuXPnxsWLFyEIAmrXro2BAweiTJky6NGjBzp16gRPT09cuHAB27dvx4wZM974vGKylWvOKYPEQMQ16Lw9agAArszbCUAmpHBoQykIS0TJEdjDOI5TMFoBjmCllGQderMxlVQkxcTrZBlIyTctf1fSsRhvcgpiDEEncO5qcrerxiHo9Y4IVsWEaY+RU6r0Xj48fYebUZlG7RSMxtO7nAKa2PzZd2dTNgMLDhMZ9TizbiQmcg2atRdZ2pXZEYDI+hQVJjBiMQqCzkGwogS3Ocz8ItegU14fEkW+liyVSlIYxPSCxDVn9pdr1jo7kkQl/Uthm2F/rcwFEhvLU6c4YxorQiGRY57JjuAqeYxGbgpnhUXYb53JBElZPM66xu5BJ6sRL5SR0jRtSXKkTilWFMGorK9oB9kYh7yyrsxq5OXDtWsp5pmqTyjHSBZHVDQnqXEin0lW2OFSasuAvJ4AkCQp97OTlm1WAsesooEf+7p4nahtLbpbDS0FKw0iT548OHr0KHLlyoVmzZohV65c6Ny5M6pUqYKDBw8iICDgX/W/Zs0alCxZEl988QU+/vhjDBgwgEeKFipUCLt378aVK1dQsWJFFC1aFMOGDVMRxGvQoEHD64CZu1/1o8EBTZNOowgJCXlhyhODc+7zy7bdvHlT9TsgIACLFi16Yb8lS5bEH3/88SrDfCn0ZqOqmhXzqTGiEq5RJ1t5O6ZB5+ks0/xdX7IPtngW3KUO0nL2dzMtWeSlAZ3ITJjGw2hFTQ5/Nz+e8XSzykZWK+9fTLarj7NaHWPgFJQsVUfg49C5pfDTsxQak9HRXjmvwddf+W3kQUYsLUtSfNKCTufwhzL/ZEoOcZsdeg9B1Tcbh2S1OXz1fJwO7T4l7Snz7cqLx7TkFJYLri3bubasOg4y/3rKeADBya/LfMEsBUsU5DW1SAauXRMn91CqS5GOa9w2tg9qF5BgNDrOw0lBFGuKUwqWs7/ZMV21Nse0ZGfudK45c+ITh8WCr5dFiSHw9FPaSg7yEdZU0RwFJ82WkhWCE17lzM7vAwdhT4rHt2iHYHJTtWHatwDA2yCP/bnNETAGAG56EcmiOh6A+aj1AkGnpGx56qwwvqFPGoTXIDN5s1OkV2hCWoMGDRo0vFNogWNvDk1Ia3incK5mlVLbZCCJnCKuZW2EpWTlbFsB15ftB+BIXeK+ZZ0OIvMhs+pXBubnc2hQjuNSFFkwGR2Vkpgv2YmwxOFf1qn2qaKGBbU2xusGe3q4RAizqG5zoIP+kVsHdI50J5tCxsG1dF6wQs8jkg2K5YHM6opM9kQLjIzMxKnYh3x+h2+Z+9mV6HS9u5vTedQR4Ho3s8v8mJbOK3UlJfP5skhmrsFbLLAnKClaLALayiwejkeQn1k5v0X2uWb0tPEaJ25G+UuiUntZrwOeJsrpfR5GpmXLbaOYv9tm45YH7qdPdkSX6xV/dUqfsmS1cl+wqGivzlWl2NhFpzgCZ0hJiQ4a0HiZhhTKWCWzl4smLSQzalcdp93UW+R0MNEsp8WJyQmAkqrFK1HZWVyAfH7BboUQ+1Dexiwm7CQ6Az7ylxfII0E+jq2pp5sAq7IGVsVSwOSkm1GAm1KDOy5JRLLdyVrwGiCil/Jrp2yrwQFNSGt4dxAEbtrWmyTOVpUyDUdMTORpVkz4MRP39WX7Odc3E9zcJG2xOSpM8VOqTdv2hCTOrqUyR0JJs2IPM0Wok9URJCYowTTOqUTyvlTM3UwgO/N1C6zUpBIY5clYxpIdKWZWm+o4pBa1z4PEBEegmrKN5UsLBvWLBAAHU5rOYWZncORzO5lvWfWrJGUu/EltdqRjpRD89gSnIL4Uwtk5xUlkzGpMMPJgPjNEJa2M5UAzs7VVFOCjWG+TbfJYmGAhIi6c2Ywl9t7kZLbmc+PlQhnPgI4HhekURjiuwTlrciyYTAniE+NjHbnMvFwnW2dHmdKUgpi7GTy8HaZoxjxmVwLXzN4QFMErmWRXh84mr6FoS3YEgUnKSwU7hy1ZtR0ABCUXGqzCGABPN/n4JIs8J/YeqxMAT3d5fRKeKyx5yqlMRgEOjwE57tPXhRbd/cbQhLQGDRo0aHin0KK73xyakNbwziDGJ8Hoq5iYRdFhWlbgIPmQnN7Q1XzK9oQklekbcHB/6z3MXKtOybPNK1aZjJC4SVkJrrI49olKqoxgVfMvO5uWU45XZzRwzVJMYrWi1cFD9gQH45jRRzZZOrOhcVO6Xn1eyWpzpCfZUzGpc41W0fgZE5jRYYng81W0a0pyImjhlgZ1ahHp9ar5AYCYmKzMMdmRTmVXm7udtR7iRBwpajDr9VwTTanlMi0aANyMcl9GJZXI00TQKXP3NCuBbsotpNcLMNrUQ1CUbK7RO+/kc2EVpEQ7DL5+ynd2zzgsPDxYj7ODscpVxNcQKYLS+HyNJp6CxZMHmYacGMfz3wSrMncHIwx0VkW7ZiXTiF1nK8jspWqvt8hzsesU14PdwjVnvU1hYXNXyFuSomH3VKwRivnaZBD4EumUKfh5ulpy3Ew6pT1BQiqWnlcA2SV+z75KWw0OaEJagwYNGjS8U2iBY28OTUhreHfQ63iai5hkcVRXYvWgnYK1OEEJ8+85+XyZtpiyetbVhbtdKTBZ4JZTehcDiWq/L6m0QOavZoFGOp4axNOOmAZjNqeiESpkHWZHsBSjwkypLQuC4BSUZVKvhVOf3L/MUsfMJkeKmaIlM+2cUZfK6WysJrc8JuaT15mNnGCFacKMw5skyYXWE06+bDZe5r/lhDCKnx2SxNObuJbuFDjHNFMdWF1mxUft7ilzVgPwULRlT6t8vLe7AC8PRfNXLlWyRdG2DQJ0OomdGgDAwhP4tSRypG4pvndeBUtvcPCHc+uEE1mNouGz1Dhy0rI5qQhLieJUrcr8rRbAomjEzE8sKRYISzwEpkkrvmiDVQ4SswHQKftEg3LNROV6i1aABZjxgbA60jpHGzZ1VtVK0cwlozv0zFojOdYQADzddYhLlA90N8vHWW2O/w2zcl18PHUw2t+UzEQT0m+KdEdm8ujRI3Tp0gXZs2eH2WxG5syZUatWLRw8ePB9D+218Mknn0AQBAiCAJPJhFy5ciEyMlJVElKDBg0aPgQQvQaZiRbdrUK606QbNWoEm82GpUuXImfOnHj48CH+/PNPPHv27J8PfgFsNhuMRuM/N3zLfXfq1AmjR4+G1WrFkSNH0K5dOwByacgPAoLAtUe9uxlkY1SQTgUyIGt1DrrIFPt0Oq796RXt2FmjvvjDFgCO+sYO/6KjipbJT/blpayGJRcA0avacy2SHLSRjBZT5JHYkhPFKKt+lcyPY6CU/nJGHUrksAAkMkpKB82oPT5amZMXP5+jU3XKldFbPW+jjycnOGH1u0XlxU7vYebasZSorA/zMTsVK2GaGS+0YbE66DGVvwZmMWBzNJsdaWwsHU4Zv85ocKQ5sWIWioYKSYLOTdbGGUusXWQpPxKvfcwe3EwbfBYngQWhG/SK35kpljw+wVEkhfvimVXEYODpXw6rjYOsJmVaFdOSJauF+9fZX14Mg2m0JjPIw1feliSnXpESrU2e/kCCfH1J0ZZFRdsmgxl2QT6ORXVLejNvSwaT6jwi43Zlfms3XwjKccQ4b5jWLtp44gCLlDfZ2LqJ3BoRlyh/UQwmEAQBiUnyNquNYLO/oQB9nchwTUirkK406efPn2Pfvn2YOHEiqlSpgpCQEJQqVQqRkZH49NNPebuYmBh07twZmTJlgo+PD6pWrYpTp07x/SNHjkSRIkWwaNEi5MyZE2azGT/++COyZMnCC7Qz1KtXD19++SX//fvvv6N48eJwc3NDzpw5MWrUKNidSh4KgoC5c+eifv368PT0xNixY184Hw8PD2TOnBnZs2dHo0aNUKNGDRUTmMViQa9evZApUya4ubmhQoUKOHLkiKqP3bt3o1SpUjCbzQgODsagQYNU4/nkk0/w1VdfoXfv3vD390dQUBDmzZuHhIQEtGvXDt7e3siVKxe2bNnyGldChpRsgZhshZhshT0hGZLdDskuV54SdAJssfGwxcZDstr4R0y2QEy2qH9bbRCtNthiE2CLTQCJsmn24g9bEP51BMK/jnDqwwrJapUrNym80JanMbA8jXH0mZQMMSkZ9vhE/iG7XX6As4eJUsFLZzRAslghWax83CRKsCckqT6CXs85uZnJXrLYIFlsjnMoY7InJvN1YWNh5yC7nbdj52P9iEnJILsIsov8eGtMAqwxCXxu1uhY2OITYYtP5OvGzm+Lc4xBstllU7lOAHQC7PHxkGw2+aOsoT0+Afb4BAh6HQSjQcVNLSYmQUxMAlkcPNmsL3YOMT5e/iRb5NzhJMf5xeinEKOfwv7sCaSkBEhJCQjw1iHAWwe9jqDXEdyMAjzd5Y+7WQd3sw56vRyvldFPB08z4GkGzAYBZoMAbzf5IyUny5+kRP6dSAKRBDE+FmJ8LMhq5dskqwWS1QLb82ewPX8GMTEeYswziDHP5Fxrm41fV7IkQVI+ZLPKAWKCnG7H74HkJLn6lGgH6Y0gvRH6xGfQJz6DEPcYgj1Z/SFR/tiSoLfEQm+JdWyT5A9Eq5wHbbdCl/QcuqTnMCTHwJAcA0G0yh9rAv9usDyHwfLccTxJcDMLcDML8PPUwc/T8ej39dZDp5Mzy4wG+aPXCdDrBOgEOXCMBY+9Kfj6veJHgwPpSkh7eXnBy8sL69evf6FZmIjw6aef4sGDB9i8eTOOHTuGYsWKoVq1aipt++rVq1i1ahXWrFmDkydPonHjxnjy5Al27tzJ20RHR2Pbtm1o2bIlAGDbtm1o1aoVevXqhfPnz+PHH3/EkiVLXApijBgxAvXr18eZM2fQvn37V5rbqVOnsH//fpXWPWDAAKxZswZLly7F8ePHkTt3btSqVYvP4+7du6hTpw5KliyJU6dOYc6cOVi4cKHLi8HSpUuRIUMG/P333/jqq6/QrVs3NGnSBOXKlcPx48dRq1YttG7dGomJiUgNFosFsbGxqo8GDRo0cLwOb7fmk1YhXZm7DQYDlixZgk6dOmHu3LkoVqwYKleujObNm6NQoUIAgJ07d+LMmTN49OgRr4E8efJkrF+/HqtXr0bnzp0BAFarFcuXL0fGjBl5/7Vr18ZPP/2EatWqAQB+/fVXBAQE8N/jxo3DoEGDuGadM2dOjBkzBgMGDMCIESN4Py1atHgl4Tx79mwsWLAANpsNVqsVOp0Os2bNAgAkJCRgzpw5WLJkCSIiIgAA8+fPx/bt27Fw4UL0798fs2fPRrZs2TBz5kwIgoDw8HDcu3cPAwcOxPDhw6FTyBcKFy6MoUOHAgAiIyPx7bffIkOGDOjUqRMAYPjw4ZgzZw5Onz6NMmXKuIxzwoQJGDVqlMt2vYe7g+XKyfRteSqbAI0+sqnWTsQDrlKShKj4uY3q29Xg5YHLc3YAAMK6VQcAXJopWxpYkJre7JSmlYJnW0xK5gQjKesr60wmB+kEJ7TgNkCXICue1sXSl0RJFXjlfA5zBn8H6xmbk7Pp3+RgBnM+PyfLAFzJUFhdaHc3mAPklC9bjBLQ5Cv/Nni48cAzzq/NTKVWvVNdZUb+IvE2nAzEILcxKn0KZlaP2hOQlOpdjGmMj9UMSEp7Zgr39HaMWzFvPr0rzzPOJq+Xu8UGXbzkPD1eXjkuWYIoMWIT5Tws3o1V5oJTJTH226zMjVyTifRe3sq8nUhvGNsc+2t2d1wHg7q+Mz/Exw/io3jlh8JipqRPkWcAiDGHKSQkokEJ3jO6w25Q/g+UoDJOmOLu50j5SlYqpymEJWRyuEVIMZ0zMhRGeCLYLYhV1jJWMWl7usnjj0+QkGxVyHF4zJ1DULKgMptIsIlvKEA1MpM3RrrSpAHZJ33v3j389ttvqFWrFnbt2oVixYphyZIlAIBjx44hPj4egYGBXPP28vLCjRs3cO3aNd5PSEiISkADQMuWLbFmzRqupa9cuRLNmzeHXvnnOXbsGEaPHq3qt1OnTrh//75KCy1RosQrzaVly5Y4efIkDh48iKZNm6J9+/Zo1KgRAODatWuw2WwoX748b280GlGqVClcuHABAHDhwgWULVtWVXu6fPnyiI+Px507d/g29gIDAHq9HoGBgShYsCDfFhQUBEAOyksNkZGRiImJ4Z/bt2+/0vw0aNDw34BWBevNka40aQY3NzfUqFEDNWrUwPDhw9GxY0eMGDECbdu2hSRJCA4Oxq5du1yO8/Pz4989PT1d9n/22WeQJAmbNm1CyZIlsXfvXkydOpXvlyQJo0aNwueff57qmF7Wd2rw9fVF7ty5AQArVqxA/vz5sXDhQnTo0IG/6QopaCSJiG9z/u68P+VxKQPXBEFQbWNtU/rjGcxmM7dKOMMelwC7EviiMxocvib2di840og49SavPKVQTBoMTkE/itYnOgLQGB0n06Dz9qwJALgwdRMAR2oSANgVqlGDknZks9og6tTkHnCiv0zJN23wljUWVmcZcEq5YulGgoMQhJGZpNR2mb/Z+bzO1buc14Vt4+tEroFxTqeFmJQMW5xSHSo+gc+FnYOlZ7FttucKx7TR6ODVVqwCdsVtYfDx4deO0XuyuUh6pfpYYjxPSeJpT8qaWJOTIbEa2R7KGrKayE7c3UEB8jwtSiqUn6cjBcuNpQYpGp+PJyE6Tq1l86JUyrqLsc9BSgAYKWMTn8nc1jrfQH4/s8A1MZathQlS7HP5u7v6f5UsSbxIE1mVql++gao2UlICV/mN8fL57GYlHS85HoJNsXAomrDRIp/LJvk4Uq5IdO5Sro/FSG0ULVuvEKTY2T1nT4YgKSl2LMCQ3XM6I3y8FFIShfWFpWC5u+ngreyLiVOsRspxBoO8HwB08ZKKdvZ1oHF3vznSpZBOiY8//hjr168HABQrVgwPHjyAwWBAjhw5Xqsfd3d3fP7551i5ciWuXr2KsLAwFC9enO8vVqwYLl26xAXr24TRaMTgwYMRGRmJL774Arlz54bJZMK+ffvQokULAHKk+NGjR9G7d28A8rzXrFmjEtYHDhyAt7c3smTJ8tbHqEGDBg2pQsJrmLvf6Ug+OKQrIf306VM0adIE7du3R6FCheDt7Y2jR49i0qRJqF+/PgCgevXqKFu2LBo0aICJEycib968uHfvHjZv3owGDRr8oym6ZcuW+Oyzz3Du3Dm0atVKtW/48OGoW7cusmXLhiZNmkCn0+H06dM4c+bMS6O4XxUtWrTA4MGDMXv2bHzzzTfo1q0b+vfvj4CAAGTPnh2TJk1CYmIiOnToAADo3r07vv/+e3z11Vfo2bMnLl26hBEjRqBv377cH/0uofdw4/+YOqMeJLEiEIpmaHfQZCIFXSVPnTHqXdKqnIlKUla/Yhp0vr5yNP+lWdsd/l8llYoTnnh5Qq/4i+1MO2a+XTezI6WG0WUyn6Ciiavn6qFqS6LEU5hS1iuWbHauLTO6SpciD3CQn/AtTqlYKSuJOapUOfzHRh9Za2UWBJ3J6NC8lfUy+vmyDl0KcThX/Uqp1TNfvqBE/eo9vGDwZb5+pVKXt5LGpHNUStanZkVSNKeke/LfeKvSZ6IE9sSOVQp5MIOH0QDEKpfMU6kEFpOoXDuWuiYIjvrRynkFs8OixfexOAh2fUWRa9B6T7kvVvlKXg/l/nv+RB6+koKlU44RbFaQ8v9l85RdZiwVivQGkF5ZF3bPs78GMyS9Ulfcxqw48oQld1/ApNx3VmahUQdySgDIrLjonIptsN9Pnst9JSqEMIwW1Mtd4qlVMYks5U0+zKgH/L3lHw+iJVhSFKl5VWhkJm+OdCWkvby8ULp0aUybNo37bLNly4ZOnTph8ODBAGTT7ebNmzFkyBC0b98ejx8/RubMmVGpUiXue30ZqlatioCAAFy6dIlrsAy1atXCxo0bMXr0aEyaNAlGoxHh4eHo2LHjW5mfyWRCz549MWnSJHTt2hXffvstJElC69atERcXhxIlSmDbtm3w95f/0bNkyYLNmzejf//+KFy4MAICAtChQwceJKZBgwYN/x/QCmy8OQTSHAAa3jJiY2Ph6+uLxt+sgXtABgDyPx7TVJKfKGQdrHRjfKJreUHBUYfaFufQBOXOHIQezBdsVLRW7g9V3sbz9qjBI8Ad/lvmD5b4NtYP89kyzRFw+G9N/j58H9PgeQlHzqThIBKxxcl+WF6cQtFCTP4+fC0s0a7pas60loBD2zb4eHHSFM/smeW1S2S+bFkbszx+BlOAn6ofVpZS727mpT0ZiYtVOT/Z7Dzy2nl9AMUCkaKACPPFh2R0x8RvquKbsVtw485zedySuq38XdE2ldgMRskpWZI5r2eFhysBAHeeyecP9iP4e8vjTFKKbhiUepZJFgkJyWqCE6aAnczXRZmTDXpOAyr3Y4+Rxyi4ufHzsjaS4gsnqxV2pVY0jwa3MzpVo2NeKTRoyZLE503PH8vjfS4HUUp6xYrjlZFHdeuSZR8480OLZh9uLXGQmSi0sSZPXmBDl6Bo8DpGyqNYPCxxjqhuVqpSARnMqOIhc0HEKQVXFIMU3Ew6JCslWtltz4pwSOTw9T+PJyTb7fj26BHExMTAx0dN+JIa2LOgw/y/YVLiEf4J1sR4LOxU6pXPkd6RrjRpDWkLOoOBCwOSdC5VsJhAtMUmQO+hPIwY0Yry4HGuBy2lMLWZ/Lx4OpdkV5v3mPC8PGcHT8+6Mvcv+XxKQJWg03HhxtJq2HGSxeIQrsrTn70sCHo9F3bsgc2DwxQIeh0PPGNVsLjZPskCUvqWlEwBHihnNPLANCY0+YuIztshJHkVKoXpTCljpPfwcJjCJbW5Xu9mhsFdXa+btzUa+EtQynrfcpUy9bVj8xV0slAweHpA0Msc1AYltc4a/VwemsnEK2PpGL81qwjm68e/P70q9x2jpGBJz21ItCjc5IwDXhGs8RYByXYlZUynNtEypjYxKQkGb0/1eFl6mxPXuKCklfF0JbMbZxzTezABrKyJIHCmMs71zVLXnIIt7UpQmWhRuL+N8j0sePqClFQoyV3Zp5i2JZ8gbspmApiNiUwe3ARPLJgt9qmqb0nQOVjJ7Go2MuhNPM0qVpkKS6ey2SXuOmAMbwmMI93p3TnZJsDyZtZuTgv6qm01OKAJaQ0aNGjQ8G6h5Um/MTQhreGdQTAZHeZfo07+DUBUzNxcK3TijWbaHDe1mtycyDyYGVbRAGITXI7jQVJmR3UppkHn6VoVALj5W9DrnepOK0FdTONy5hNXuKHZufROlbl0RjXxiDOXNyMl4WlgLK3F091RKYrxeTOzueAI6HOYVRUyidh4RztFQ2J85qwfyWKBoPB5iwplJ9NgxGSLS6AdGyOJIv+ekmtc0Osc3OYsuIxzdyuWhFRcAAZPD6d9ynVV2jPCE0gEUvpUil9BUugbRElAsk3RoJVLYBcVq4COYCfFJCu+oMaxRE4WCjZfM18/nVIrmqWcIUVanPM2OLljHEF66mA6VntaZzbxyl6iwsPOYTDxADCyKbztTPvVGzj5CZk8lDkomrCbp3wsALIoAWNGRxAcANkczgJCWVU51rfRjHsPFVeBYtWwKuNPtBJsnBhG/ms2KBq11bEEiTY9rG9IZqIFjr05NCGtQYMGDRreKbQ86TeHJqQ1vDOISckQTY50JRYsxbVVp5QkR4qPI+2H7WPgGg/Xzg0OnzDT3pT0KMlJ+2Y+6JQUopfn7ODn4/WgnbRB0qWoca1oKfakZEegm6B+oPCa0ToBkpVpwAmqfWKyxZGCpQRQObQz0eHrZCwdAqvJncTrGtsTklXzFpzWltWRZv595vd21pbZvDlhCxwBbjxgTdFCjT5eLtSmnDJVcgS5OYLoGI2qia8b97OzcbK61oKOa6R65h4XFCIQHcFkUPubofy2iQIMytpLivZn1KtpXCWLw5rBrQnxst9cMBqhUzR9e4JSZU3RTEWb3UHWwkhqWJ9JiSCzG/8uz9PM+5SPsTj5sNWpjmRJ5H5nphkLic/lfXoDDyoDS9li2nJyAqcTBbs/WJqVElwmWOJ5ezIrmjjrj4zwc1e08iT5OE+jQtKjJ1iVrpg1w2JXrD464lq1HA/whpHXkuSwCrxKWw0cHyQtqCAInJzkQ8Qnn3zCCUfSGpYsWaJiXtOgQYOGf4t3TQs6e/ZshIaGws3NDcWLF8fevXtf2n7WrFnIly8f3N3dkTdvXixbtky132azYfTo0ciVKxfc3NxQuHBhbN26VdUmLi4OvXv3RkhICNzd3VGuXDmXKoRt27aFIAiqT2r1D16GNKdJt23bFkuXLnXZXqtWLZdFelsQBAHr1q1DgwYN3kn/KbF27dp3Vp+6bdu2eP78eZp4iTF4uDs0U6vNURM4BYWoyd+Ha2F6s7oIhs5k5Nob91ezf2JBcGhIiiZsU9oyIhGQ4CiOoGhxzhr1tcV7Vedl1KMkkUuRD2e/rCOaW5225KzZsuOMPkpajKJV2eITHH0qKUHcOuDuwYkzmI/TUedZkFOHABg85b9Mo3ZoqFZHhHwKCHo9J28RDPJYzBn8lX6SeEqcLVah8HQiNREkRmKi9juzYhw6NzNM/jIxCo8hSKGZO2/TOft9lf3PLPL5YgU5stpui0eSomXblQLJBkXLFkmHJJLvIxPk65Ioqa+XUeELABzELkwzZv5yADD6+qjGQZIEPbPI2BwaPyBHe4uKlmxwC5DPx64T82nb7Dw6XLQp94xCPar39uUaOIsSF+OUGtIms8OXrKRzcYIUvYNW1zkdDHDKTIiP4X0617ZmuH9f1rjjIa9FtFJT3Agb9zsnk6KVKxQ6IvTwscuWoFjJEzYx9Xvrn/AufdK//PILevfujdmzZ6N8+fL48ccfERERgfPnzyN79uwu7efMmYPIyEjMnz8fJUuWxN9//41OnTrB398fn332GQBg6NChWLFiBebPn4/w8HBs27YNDRs2xIEDB1C0aFEAQMeOHXH27FksX74cH330EVasWIHq1avj/PnzKkbH2rVrY/Hixfy3KUUBnX9CmhPSgOukAKTKDf3/CZvN9tYEa0BAwFvp50MAYweziQ7eX1Exv7K8Y1tcopMp2Ko6nkTJYRq2qffpjHp+HBMwjIubCSPRanOclwlZ5fe1xXuRq11FAI70LOfKVTyoSyeq+pSUmsjOfTnyvBkXtyMliwWzMQEl6BzpaCkrKEGn4/N1NoHLYzI7+LFT5GUz87HOzcwfcqxSlj1BeeAbDQ43AOMAV3KoQaRq53wOQdBBTFKb7JkQY4FggNMLChNWTi8LjoDAlKlrVi7kdIr5muAI0mImbb3AhLXD+CcKCkc5E65gY5MFsC0m1rGGLEfeycXiqPalfqnQmRz599xc7hSw5wg4U64Fu/Y2R344Kfeq3jdAWQv5+khJia4pXMyMbTLzbcwFACUATfDycWWuYyZ1tt2ZZ5yxmFmceOaVtTRL8ja78vjXCYCouAyYcDYL8jgs5FhX+WXozYQ0r9P+qm1fA1OnTkWHDh04adT333+Pbdu2Yc6cOZgwYYJL++XLl6NLly5o1qwZALla4aFDhzBx4kQupJcvX44hQ4agTp06AIBu3bph27ZtmDJlClasWIGkpCSsWbMGGzZsQKVKlQAAI0eOxPr16zFnzhwVw6TZbEbmzJlfa07OSJPmbjYp54+/01txSty9exfNmjWDv78/AgMDUb9+fdy8eVPVZtGiRcifPz/MZjOCg4PRs2dPAOD83Q0bNoQgCPz3yJEjUaRIESxatAg5c+aE2WwGESEqKgr169eHl5cXfHx80LRpUzx8+JCfhx23fPly5MiRA76+vmjevDni4uJ4m5TmbovFggEDBiBbtmwwm83IkycPFi5cCECuWd2yZUtkzJgR7u7uyJMnj8sLzOtg6tSpKFiwIDw9PZEtWzZ0794d8fHxLu3Wr1+PsLAwXqxEq2ylQYOGN8WbmLtT1qhn1QedYbVacezYMdSsWVO1vWbNmjhw4ECqY7FYLKqCR4Bcl+Hvv/+GTbGcvKjNvn37AAB2ux2iKL60DcOuXbuQKVMmhIWFoVOnTi+sJvgipEkh/TpITExElSpV4OXlhT179mDfvn3w8vJC7dq1YVXehufMmYMePXqgc+fOOHPmDH777TdeBIP5EBYvXoz79++rfApXr17FqlWrsGbNGpw8eRIA0KBBAzx79gy7d+/G9u3bce3aNf5GxnDt2jWsX78eGzduxMaNG7F79258++23L5xDmzZt8PPPP2P69Om4cOEC5s6dCy+FkGHYsGE4f/48tmzZggsXLmDOnDnIkCHDG6+XTqfD9OnTcfbsWSxduhR//fUXBgwY4LKm48aNw9KlS7F//37ExsaiefPmL+zTYrG4/EMBcpSmPT4Z9vhkkChCstogWW1ypScl/UlMtnLmL2czl85gkNOEJIJg1MsfvR7OzGTOWjfrmxQt156YBHtiEiSr0r/CaS3oBDmgLUke05W5f+HK3L+Qp2tV5OlaFTqjQalg5SD0kGyi/BHlD9ntjvEKOkDQ8fM6n8sFijYhWa2cJlEwGCAYDCCbFWSzci0akE2c8sdp3oKgEGrIRCxs3s5g82Tjdvy2y2O32x3XQjm/87qyfSygz56UDJ3JKGvDyvkli1X+2FgQkwTJYoFksbg+dEUJYrIFYrJjn5iUJAfC2WyQ7DbO9gUAerJCT4omKxB0gqzLOa+oXpBgIBsMZIMeIvQQoYMEHSSIiYkQExNBNju/LrboGNiiYyDGx0OMj4eUbIE9PgH2+AR+Xdh9ISVbeF6vlGyBlGyBYNBDMOghJSXxPvl6JSfLDGo6AdAJIJJ4GzE+FmJ8LEi0g0S7bDnR6WSLicEom6wNJsBgkjVs5SMYTPLHzR2Cm7vqfGS3yRp3ymAs9luSQEkJoKQEfg7BZIZBkGAQJL5OJlhhghV6wdGHAXYYYOdt3AULzDoRZp1jfd8EbyKks2XLBl9fX/5JTSt+8uQJRFF0oXQOCgrCgwcPUh1LrVq1sGDBAhw7dgxEhKNHj2LRokWw2Wx48uQJbzN16lRcuXIFkiRh+/bt2LBhA+7fvw8A8Pb2RtmyZTFmzBjcu3cPoihixYoVOHz4MG8DABEREVi5ciX++usvTJkyBUeOHEHVqlVTfeF4EdKkuXvjxo1cSDEMHDgQw4YNc2n7888/Q6fTYcGCBbzS0+LFi+Hn54ddu3ahZs2aGDt2LPr164evv/6aH1eyZEkA4DWj/fz8XEwSVqsVy5cv5222b9+O06dP48aNG8iWLRsA2SySP39+HDlyhPcpSRKWLFkCb2+Zaap169b4888/MW7cOJfxX758GatWrcL27dtRvbocdZwzZ06+PyoqCkWLFuWFP163cldKOGvwoaGhGDNmDLp164bZs2fz7TabDTNnzkTp0qUBAEuXLkW+fPnw999/o1SpUi59TpgwAaNGjfpX49KgQUM6Brmy1r20LYDbt2+raEFf5vJ8WcnelBg2bBgePHiAMmXKgIgQFBSEtm3bYtKkSdArL6s//PADOnXqhPDwcAiCgFy5cqFdu3YqK+by5cvRvn17ZMmSBXq9HsWKFUOLFi1w/Phx3sZZgStQoABKlCiBkJAQbNq0KdWSxqkhTQrpKlWqYM6cOaptL/LjHjt2DFevXuUCkSE5ORnXrl3Do0ePcO/ePVSrVu21xxESEsIFNABcuHAB2bJl4wIakMtB+vn54cKFC1xI58iRQzWe4ODgF5o4Tp48Cb1ej8qVK6e6v1u3bmjUqBGOHz+OmjVrokGDBihXrtxrz4Vh586dGD9+PM6fP4/Y2FjY7XYkJycjISGB17k2GAyqamDh4eF8jqkJ6cjISPTt25f/jo2NRbZs2eRoRsYrKIo8BYtMag5tQSdwPxTz8TKyEEGvA1klVXtA72jLiIXZPyRL2XKqZsWpPlkAGvO52iXug2YBZMxHfWHaZh6clbIKl95sduEal2yO4C6GlOlODIJe7wj2UYKIyCnFR4xX+LyZ71Gpxaz38uGpQEKK1B62zs5aN5sv81fr3d0cKUEshYqladnsjhiBGIXek1W60uscnN8pgun0ZlatzMh9vKkFjOlFs2qfXXGx6D09HQQwir/ZppfvQ6PdCosSsGZV/jKiEx0k2AV5fW2Kjq0ju+oczmuh91KupVMtc2ciF8CJqMXDzZEmmILPXDCZnI5TE8IwkCjyGtWsGpZz7AGjJmXpdKzGts7TC1A8T7zWNfMzC4KLr5b1ye8F5/uK+bKZ/5skJIjyeRN13sp6yfP2kOK5f9qi0LwyS4aBbLAqcQc2GGGD+r5/VRC9ekAYm6aPj88/cndnyJABer3eRWt+9OjRCwsmubu7Y9GiRfjxxx/x8OFDBAcHY968efD29uZWyowZM2L9+vVITk7G06dP8dFHH2HQoEEIDQ3l/eTKlQu7d+9GQkICYmNjERwcjGbNmqnapERwcDBCQkJw5cqVV1kKAGlUSHt6er5yTWZJklC8eHGsXLnSZV/GjBn/VUlGzxRl9V70dpZye8oAM0EQ+D9dSri7u5Y9dEZERARu3bqFTZs2YceOHahWrRp69OiByZMnv+o0OG7duoU6deqga9euGDNmDAICArBv3z506NCB+2Kcx5wSL3ozNZvN7z2wT4MGDWkX7yq622QyoXjx4ti+fTsaNmzIt2/fvp2XJ34RjEYjsmbNCkC2yNatW9dFXri5uSFLliyw2WxYs2YNmjZt6tKPp6cnPD09ER0djW3btmHSpEkvPOfTp09x+/ZtBAcHv/Ic06SQfh0UK1YMv/zyCzJlyvTCt64cOXLgzz//RJUqVVLdbzQaIb5CndSPP/4YUVFRuH37Ntemz58/j5iYGOTLl++Nxl+wYEFIkoTdu3dzc3dKZMyYEW3btkXbtm1RsWJF9O/f/42E9NGjR2G32zFlyhR+M65atcqlnd1ux9GjR7nWfOnSJTx//hzh4eGvdT57QiIMBkftZ1ZUQuRkJo4a0lzLZXSTVrW/WW6vVx0HIkfqEtNOFM3QuZoVI/NgGhYn3XBKs2JpRxembQYA5OtTh393RDsrkcmkdxoTK9AhuPQt2Vj1KYX8gpOKSABYxSVlmxKFK4l2UKKsSbNIdVZtiWw2Hv3LCmQwDZdFZttiYlwKZbCUIV2y2TXim0Vd2+18Ddh47QoJjM5sdszPwghSlOujWIxsMbHc4mB7zipIOSheUxYNYdfS+uAe1xb9THKfCVb5vF46C9wMCrGJ0rdzMQ3JLq+PSYn8FhWNOk6ZB4kiwO4jRT2zP5OLUsipbgphSEozrCjyNDijn2zBE3nUtciPY8QoOncP1eFktUJSouGleLkADNNwYfbgL7vcz+xsVWFR3QrdrP1BlDzvwMw8rcsW+xypgiTZpw2AkpQKbO4OtyGL0naXlH1wRMUbWNS2JI+bR3fDCB+DvBaPRTdIwhv6pJVYjVdt+zro27cvWrdujRIlSqBs2bKYN28eoqKi0LVrVwCype/u3bs8F/ry5cv4+++/Ubp0aURHR2Pq1Kk8Rofh8OHDuHv3LooUKYK7d+9i5MiRkCRJFb+zbds2EBHy5s2Lq1evon///sibNy/atWsHAIiPj8fIkSPRqFEjBAcH4+bNmxg8eDAyZMigeqH4J6RJIW2xWFzMFwaDIdWAqZYtW+K7775D/fr1MXr0aGTNmhVRUVFYu3Yt+vfvj6xZs2LkyJHo2rUrMmXKhIiICMTFxWH//v346quvADiEePny5WE2m18YSV69enUUKlQILVu2xPfffw+73Y7u3bujcuXKKvPw6yBHjhz48ssv0b59e0yfPh2FCxfGrVu38OjRIzRt2hTDhw9H8eLFkT9/flgsFmzcuPEfXwhiYmJ4oBtDQEAAcuXKBbvdjhkzZuCzzz7D/v37MXfuXJfjjUYjvvrqK0yfPh1GoxE9e/ZEmTJlUjV1vwyCXucQogYDNy1zsyLLFbbbXczHXDBKBEGnPIST5Ae93t3B/c3aMfMtZ9Bi5ftMRkdqDetTJ/F9Do5w+aHITNwXpm1Gvj5y+gVLz2IMXJJNVJm15W0s/Uh54FptDrsdL/PoePiw1CX+oFYeroLRBMFDfhjzhzk7RnQwYTlYyJL5XABZ+DkqiSnrzdbCaOBrwV5iOATBpUwnS2WS+1P6MqjNv0zAGH28IChmeqOfIridhH5Kkz+7Tjp3T97nU4t8fp2SxpZAJhhJmZ/AmMbkfpIlOVwMACwp0oe40NUJjvVla6GwhcHJFC7o1NXGdO7ujtQ2e4oXRCc3gy5FGUz+omhycHfrvJTcccVSpffw4iUteU4z689k5qlXkrKWhsxyni9ZLXxe7LzshY2XykyIc9xHynldcu0BJCnmbj3Jx3siAQlQv2iISl66JBgQz9LHdPo3FtLvknGsWbNmePr0KUaPHo379++jQIEC2Lx5M0JCQgAA9+/fR1RUFG8viiKmTJmCS5cuwWg0okqVKjhw4IAq3ic5ORlDhw7F9evX4eXlhTp16mD58uUqoqeYmBhERkbizp07CAgIQKNGjTBu3DhuSdXr9Thz5gyWLVuG58+fIzg4GFWqVMEvv/zi4p59GdKkkN66dauLOSBv3ry4ePGiS1sPDw/s2bMHAwcOxOeff464uDhkyZIF1apV45r1l19+ieTkZEybNg3ffPMNMmTIgMaNG/M+pkyZgr59+2L+/PnIkiWLS/oWA2M6++qrr1CpUiXodDrUrl0bM2bM+FfznTNnDgYPHozu3bvj6dOnyJ49OwYPHgxANudERkbi5s2bcHd3R8WKFfHzzz+/tL9du3bxhHuGL7/8EkuWLMHUqVMxceJEREZGolKlSpgwYQLatGmjauvh4YGBAweiRYsWuHPnDipUqIBFixb9qzlq0KDhv4t3zd3dvXt3dO/ePdV9S5YsUf3Oly8fTpw48dL+KleujPPnz7+0TdOmTVM1fzO4u7tj27ZtL+3jVSCQxmau4S2DFXpvMnAd3BQyB6aFAikCtyCTm6SsfsXaCzqdQ4Nlmo7RqdqQRU1QYo+TzXVGhf0KTnVsUxJqGH28nLi/FcISxRwsWW28UhSrnnXxhy1yG7OZk4IwrdWFLMNi4doYC8Bi57A8fMw1Jtvtq3ycAOR6wwmyiRRGM18DABDcPLn25Fu8BF87wKFRW588hTFFkKX1sRy0aA4K4u4Edj4WLGZPSHJUElNM4XzcVpuDx1thcmOMZVm8Dfj264oYPPsgoh7J2rE9RT1qQSe4XFdGDiImJfJrEHhsOQAHI5aZkuCpV0zLxKwKypoKEmJED9U2vaKBJ1XuIG8XRSemMFmDtsXKJmq92Y3XkeaELIxQJ8mJAIQH/ynXNdnCrx0nmVFyZRnJCYki7M+fKZNXxq2Yz/U+flzLdlQ5U9j1PL0dGryiSesUE7eg00HvVCcbcAQd8mBCg5Ez0rFtTIMXjEbojm2UtwmsfrZTWhcbp06eg9EmW0FsBg+YFMYxq8ETNtGGTefXIyYm5h+DugDHs6DZ8M0wuXn+Y3sAsCYn4JfRdV75HOkdaVKT1qBBgwYN6QjvkHEsvUMT0hreGSSb6NCI9Xru60xJz8kITth3QJ2+5MwhDTj8gqLVxv2orI3BW0ln4TV+dbDFKRoH01Z1DppQzmWtJ74NkLUcNnamQYd/HQEAuL5sP3ROtZadj+Nc5SYjD5BjY2NjNXhmAylatdVP1viZj9bg5SWTacAReMWgM5u55m5QUorYOdi8xWQL14AdyCSf392Na/xMi+NrA0fqFWvDCCD1bo60IzuvZqUE/SnxAfa4BCQ9eKzqm8cZSAR7nGwd0P8fe98dbkdZrf9O2/20FFIgJCGk0auUKCSXEuovgFdCEQhCRBC4EYWAtNAFTAApkSLdgkpTLhekCAhRAhEQ6T0YEkKSk9N2mfr741trfTN7BzjneI96cdbz7OfsPfPNzDffzJlv1lrvel8qN+Iys7DcLXnUr0xSx/1opQKejVzPRj6XHIMgYEUmA2s7VN+zWdKjdtW6R5lMx/ckf8tAMH+1iiqEhVJDTpgtdGuxaEYucS5hj+bHFj1pUpzikqiwuwOokMfepdgI+Z71cy0wfFa6omvnktdaGAzTo1w2KVyxt+sX14NHGtNmWXnpJgHsgrzC0BhBjDY3TObiI6eAvUepc6/WkpOgZQEWRRGqLuf11V/HbkdLkzr3Ve3tqPo+/nudo/bZlupJ99/SSTq11FJLLbWBtVSqst+WTtKpDZhZ2UxD/hmA5HqlXSHfQKMZFzjQuWgm0OC8aojQTQpNcKkPSADCiEJNaME5V8qZGqbRkFvmfUeRpfPUtN27tz8DANjoyCl4785FieNqL588lygUcZG4RjUAREQxGl8m+Uzfl9xovT4zj0fiuHXjZhhmQkRCbePIuTFJDOowAIhCTUbCXvI6PBpGYmdI2ctkMhPb0n1jNDvneh1DPFpuI0IoLYPEI+1arfrSVVXbd3QFKFfUMtum68uedABU6dqTEJg8262xzXrcWGyEVK9YlMKwNNKdEeqC3DZNISFhQhnO8VqtQzXJDOtJE2Jc1KkyOURV8nJblBqSUSXvvmmwrDNcyuGzGEZpMMIyefCEOGfN6KhpMMwm5TGHXYxxIJyH3DuefIfbSDu5bJU6hzUV1f/BBX1f1bzkfWRTZMk0InSV1fe1FaD2+ZWq67Y+AMfScHfS0kk6tQGzoOYiMCkEFytZ4pCplafwYM2FmWXAFofCuTzGaJh0dMmLIyCnT6utNB1bJlvNYqZD61L7XA/8cj0N4qGyHw5xv3fnIoz9umJ944lbgFGJMisKiecMvU86hhEly9BkQowiAVUx2CngyTYW7maJyvoxiaKwYRnXO9vFvOb5lvpynqxj+wqMRJ9UqVqQ6K+kBfKxWugeHTpXjVm6UY+z7yXrw0OvW/rZ2qL+dvRwTbSBQa3qeBzKZgtjD3KeT3mSDojNLKxWYDW30HcCrBFoC05GlKo4fB3GAGHhGlUCahDYSULbmVxDLXJQV5McuVWZlK0a1VIHJKVqmLDLih86JJCW7REwy3IkhM3GamW+nUHIbGldq+mEk4pUHCoHAIPWhQ4zn9lYr5XK1+i+zDnq+pTyBmrEmJelZWFIKQQ/QkuJyuzsENV+imCpwvZ0ku6PpZN0aqmlllpqA2oDXYL1RbZ0kv4/bvPmzcPChQuxcuVK3HvvvTjggAMalt13331Yu3Yt7rvvvn9o36IgXGdYlj1o3S6QUioOh7KHB8OIMWglY21xbmYO0Zp19KQhKSEBgOlwqJgfArYm2ajnwo6Rb0QxHnHuUzz0DQBvXPuI2iN5vyGpdwExoByXA+Uymp2rk3WamVQli4hcQiEeKWqiCQlds7a1q5mw6sckPk5qLAI9luRZWgR68nsqMQ/GSGyn+mfodkAMnBYjy2DPmfsS6vAxgk+Jk5IiFABkM+pvKa/2U8iZsKnUiyPTHO4GgFo9AIqJ6GKhXubHDiwaJwo1R0Gg+bQ53E33R1hZqyM/TA7C+6uVYdh0H8W9a8RSHYGPKKu8aqO6Nnm+UYjAVmNnEtCLwWGGX0NEYW6LvOuINLMN39XhdPK22VuOYt6y/L8RKI3/IoqQIS+5Na/GbVAzMbY5BmwaSwaO8b9rS8lELqvadZdD1HHS9NpY9a23bVPT9n9eqvKzbNasWTjggAMalj/xxBMwDANr1679h/epN1apVHDuuedi4sSJyGazQr7yyiuvJNq99tprOO+883D99ddj+fLl2Hvvvde57Kqrrmoo6E8ttdRS+4cZl2D19pOaWOpJ/4tZrVbD7rvvjqVLl2L+/PnYYYcd8PHHH+OSSy7BDjvsgEcffRQ77rgjAKVbDQAzZsyQt/h1LftniV+YjiUeY+gGiTwzEANbWVaMx5vax/KqYR3/snBSV6ox8hCXjkNKVURpicho0Ftmi+e7NamJVuiqz+3GS8e4n+xBT/z2HgCAt3/ypOyf27N3zeb3VGSd10FAIfb2szkEBEgSEhMu8ypXRL+ZQV6Sy+aytO7uRM4eiClO5bIi9MLRgdoq5tnOavBdXTmZYWViOXsqm/OSyUnDMiVSECFJDmIaDgJP5+MBCA+1v+pjRJTzX11Rbbor6li2FSKbpYgD5VErVfW3pclGZw+R0ticR6XDDi3qc+SoBIveUEmV1dyqIwVSKhZK3wIBk5FLmSVvtasdIrlorjsKA9OUNl7zSLWooq5zlCnIuiBL1JA9sWvIOAiL8BoZOpd8sz5BHmfixWfv2wAQ2RzJofu5oMBmZrVTghnMpLu2i/7XIr2sKv9qqk89VQOtRP/dU41Q8/s3gSqlyt6WYPXrEF9Y+0J70n2xu+++G5tuuimy2SzGjBmD+fPnJ9aPGTMGF154IY488kiUSiWMHj0a999/Pz755BPMmDEDpVIJm2++OZ5//vnEdosWLcIuu+yCfD6PUaNG4eSTT0ZPTxIcErcrr7wSf/zjH/HAAw/g4IMPxujRo/GlL30Jd999NyZPnoxjjjkGURRh3rx52H///QEApmnCMIx1LgMaIwphGOLSSy/FxhtvjGw2iw033DChdb1s2TLMnDkTbW1tGDx4MGbMmPGpVKmppZZaap9rqSfdb0snaShN6oMPPhiHHHIIXn75ZcybNw9nn312Q4j4iiuuwJQpU/DCCy9g3333xRFHHIEjjzwSX//61/HnP/8ZG2+8MY488kh5C3355Zcxffp0HHTQQfjLX/6Cu+66C08//TROPPHET+3Lz372M+yxxx7YcsstE8tN08R3vvMdvPrqq3jppZfwve99TwTIly9fjuXLl69z2brsjDPOwKWXXoqzzz4br776Kn72s5+J9mq5XMa0adNQKpXw1FNP4emnn0apVMJee+0FN6ZMFbdarYbOzs7EBwBC11ceFhOSkPA7ExuYGUe8vdD11MfzVR7ZV5/QdeUfNwoClUu0VfmMYVmS6+LjKG/EjP3WuXDO15qODdOxVT9on/UqPaHnwzBN9anbzozlau1CDnYhh7d/8iTe/smT2PiYXbHxMbsCphE7juojn5thWbByGSEJMTMZWIUirILSVjYzWZgx/eGgWlM5ZBLBsHJZvW/pP33CMDGuAOQYAGQszWxWfXhdFMmY8/ayn3U8NA3TUBGRmHcU+p4SpAgCINYndRJBIi8dujVFMOJkpIa2uWSjuWTLc9qxDRhG4hJi6OAMhg7OwPVCFPMminkTBfpwejtyXfXxXBiOoz4GefqBL7nksFpRn55uhD3dsl1Q7gY8F/BcPa6VHkSVHhXdsDPq43uA7yGqldXHJ5Uyw4ThlmG4ZVjdn8Dq/gSZympkKqth+C4MvwbDr8HqWQWrZxWMyIcR+UAUwgg8GIEHM6SP2wPT7YFR6STWEQsyKPUTWswFjewsIjsLs9wOs6yiJX4QwQ8ieL6SXXds9cllDLk8jqU+xZyBYs5APquvgR8C/XSk5X+gt5/UtH3hw90PPPAASqVSYlm9LOWCBQuw22674eyzzwYATJgwAa+++iouv/xyzJo1S9rts88+OO644wAA55xzDhYuXIjtt98eX/va1wAAc+fOxU477YSPP/4Yw4cPx+WXX47DDjsMc+bMAQCMHz8eP/rRj7Drrrti4cKFyOWSYVBAyahN+xRJTVa/evPNN7HVVluJIsvw4cOlzbqWxa2rqwtXXXUVrrnmGhx11FEAlHj5l7/8ZQBKV9U0Tdx0003iid9yyy1obW3FE088gT333LNhn5dccgnOO++8dR4vtdRSSy2lBe2/feEn6WnTpmHhwoWJZc8++yy+/vWvy+/XXnutQSB8ypQpuPLKKxEEASzynLbYYgtZz57n5ptv3rBs5cqVGD58OJYsWYK3334bP/3pT6VNFEUIwxDvvfdenzWo2UM34q5FH+21115DrVbDbrvtts713Od6KbVqtSr57no744wzcMopp8jvzs5OjBo1CoZlat1hIyYbSObFCD2MOhlLRh/bxYIWz+hhLeNGogauT9baz5RfzDg6pxsjMQGUZx1UvcQytiiMNEWpQ/3kmuKYxxLW5dneuuH3AIDx35yGNxc+So3qanwpYqC+u7wj1Q/HEc1lNo1g1x58WKtDdYv2dJAY83ib0HWTAiCxfUZh1DBOAZFYWIW8rienXHYg2AHl8fvdPXIOTPJhNRHlaVeHXkbiGdw26l4rCGqufY4D7i2LNJAZF0Do7lzWlPy0Tdcun00GBsNyd4OcI9cWB51rYRaJQpbISAKiLlXnSfgDrkWmvG/kVmO5YbqPSFo0qrHghQ/DJ2rXkK4T5ZENv9qQw7YI5R2Zjm5HOeWIkOAIfRiETLerqp9+hhDktL1dbddUrkQ1ymIaUWQLvadhEP5BMCuGOOGVGmMAmBZUoewBoLUYoer3L/ia0oL2377wk3SxWMTGG2+cWPa3v/0t8TuKooaJb121eqwTCuiJcl3LGJwThiGOO+44nHzyyQ372nDDDdfZX/bi12Us1Tl+/Ph1ru+N5fP1vM5JC8MQ2267beLFgm3o0KHr3Cabza4TnBZUXVhMdhGbBOp1loNKRWsZ0+Rj8m/X1aAoUv9xWuih6PvSvl7ByCa1prBW09rFGSZMSRJzAIrMI9HGq+l+MqCKebILWU1UUldmZdLD/M2Fj2LC8bsD0OAyAcXFVL+E5crREzCTcRhN6jyDMmEYYrzeTnMMHAWI5jQoBQDEgWd63/VAMzbDNGRfPC5CdBJGWqOaD0NqYVGoS7+kDU+oxM+tflA/WZu4S4VgjUxOwrSFPJGaNGlAWLGolvUwSMzh/1NDSoOYjYwn+aBM42c7Wk+ZX1h4bKIQYedata65Va3jl0i3CnCpFvdfwGK2fmrSuUQ9tB8uzfJqsHziOKdJ2gpd2qQCx1UEJwGBvMyIxsYwYfl0r9K4ZqpqnGpNIxsQVVymxdfSCaoI6OWA27KqlRF4yDiqnUdMcK1Nhowfv/Dw+0cuw8A5wKTbx7YAu7/zJ6W6et02NbEv/CTdG9tkk03w9NNPJ5YtWrQIEyZMEC+6P7bNNtvglVdeaXhJ+Cw75JBDcOaZZ+Kll15K5KXDMMQVV1yBTTbZpCFf3RcbP3488vk8HnvsMRx77LHr7PNdd92F9dZbL5WJSy211P5XLPWk+2/pJA3gu9/9LrbffntccMEFmDlzJv74xz/immuuwXXXXfd37Xfu3LnYcccd8e1vfxuzZ89GsVjEa6+9hkceeQRXX331Orf5zne+g/vvvx/7779/ogTr4osvxmuvvYZHH3307wp353I5zJ07F6eddhoymQymTJmCTz75BK+88gqOOeYYHH744bj88ssxY8YMnH/++dhggw2wdOlS3HPPPTj11FOxwQYb9PpYVj4Lizm0TUPoOdmjtkjlSYHAWFWpkXeQvVSnuYm2pxIjxxbv1Kwj94h7j7wdk6gwgYjTXITfnaSylL7lc+JJ83Z8DNOxheqzvsxKQC9h9KnlWYFpxEhIyIsi795wnBinNF1n9gIJdAZoRS1d4kYRhSDQoe+6cLeVzzWMD3vkoefLw1FrdNOx8o6kJrj0iy3b1qrOv1gQHWuOZnCUwLAsBDm6D8izZSKRyK2JvvLKVeq4K9vVsYYNAlZ8XOPTUsePUWm3d5G3KZ60WmdvqMqOFKAw+ZLN/NdmJqupPqlPXBYWuVmETFBSV6KXMPac60uxMjn4FC43K8oTDi0KqbeNQtT5MbWvK7dy8ogs3mey31HzUNm/x8dhMpM8a4KvAWj7kMu0Yn1792/vAwDa6ZZv79b/azx29cEuywTau5hTHagF/ZxAU0+635ZO0lDe4y9/+Uucc845uOCCCzBixAicf/75CdBYf2yLLbbAk08+iTPPPBNf+cpXEEURxo0bh5kzZ37qNrlcDo8//jguueQSfP/738cHH3yApqYmTJs2DX/605+w2Wab/V19AoCzzz4btm3jnHPOwUcffYQRI0bgW9/6FgCgUCjgqaeewty5c3HQQQehq6sL66+/PnbbbbfUs04ttdT6ZVHUB086BY4lzIjSEUntf9k6OzvR0tKCg/7rl8gUyPs1Y8Ax9gQ4bxajD5W8Jv1mjxGIEZwI/WQYA0UlhSMkJ+26Dd42H8NpKokilmhNx8BTvB1rNTtNBep2qD1S9hbtRpIPjhzYReVFbXzMrgBUvpq3K3/4kWpL6kxWqYSQqCwtVo5ir9n3xVMvjhoBAKit0WAnAKguXwGnjb1Fdb5eRyeNSSkBmouPVzyn7Hf1JI7rNBcRVGoynmrfymMbNSiDy0/fE9+78H/wzrtKr1gUo6iqwu/sRETnV68qFXkuoprypI8a/BgA4J2lqu3okRlkKDdaITUszkmbpoFPVqu+ZCnXWqa86iODDld9rZR11IV1rDs4Fx4rc6vrU+jWJGfOxuIZcKsaIMb3TJ5AluzZei6MbiWCYZDohe2qa+BnmkU0gyk7HV/lqN3sIE3nCfrfoCrZ0M4iIvITu3sFdYruVadI+3OFItSqqeMF2Wbpx4FjPwAAdJOASRxywQ53Z0/Si81nDbQ1K1/uo088VH0f5/3xOXR0dPTqpZ2fBTOOvRVOpvC57QHAc8u4/6ZZvT7GF91STzq11FJLLbUBtSgKE1URn9c2NW3pJJ3agJmdzyI7qEm+++SNVZYrqT7Ob/o9Gt1dT2mZHdwssows6qA1myP4ZbUuO4TykHU6zXaxWbxA3p7Lu7zuHsnf1ktkxolNah9/QtuPUuu8IJYbzsg5xLcPXU/KnALyXrkka8Lxu2PFYwqpnxvakhizKIrgd1eTA8n0mjGaVZvy5E4TaQvTcqelJB4/jxuPs5XLaI+YxsddtYaOG2oBEBL04NyyIjkJaJnyItlbjwKSruzphr9GXVfO8XKu2bDsWO6d0MeiK+lLuVNLm9puZFUdq7nFQVMzUZsSmp6f30EYiVfNIhySqv1Iobvhu4got8wlYFG38pAjJ4uISr8kt8yRHbcKg9vROvb2DbcsYhsiFUmedUSUo0a1E06PumcKvtpPzlDnWClrxLtNBVPNjlrXVelCzlTnnrVUX2pEmdrp5uFW1bXOhFTlAI9Ok0Q5EMCvqu9Fk6QxXeV1B7CwyRbqXlu1Qq3jsTVtQ0LRXOLG5VlhFCFfVPvcsMtHT80H/oi+W9gHqcoUOJawdJJObeDM0GCxwPIawF0MKosbh3PjYWNd7hMltjczjpQL1YfCecIxLQuRzbXTQXJdDHjGYC0BXcGTiUkmGNalDgLRgxYdaQKQcV9Dz284X5vOd8Vjr2P4bpMAAB/e+2fpC6BL0FSfqD68TDXNZlYmcCnhqqsvNy2rgRudAXpB1W2odxbwlGXH9J/9xF9kMhrERib78dbBiy5pjMb2XJMcUpmUWWpGWFHn7rk0MVGtrlsLUa3ymCcnkTCI5Lvv83VVx7KopCroWAOTUgasGR0RB7diDKMXMwaxscqUnUkArtRO6eXNzsj5iQpVkV60qGyLwVsAYFLY2o/UfmpmEXZIL500SVd8erGDiYDaMz6rGup1HALnfRpUIOYZ9MIWdcMi3vSQ7s8A1G8Y8L3kiw6PbVOLgwp952vAmals1pRlbi2A636KmtnnWOpJ99/SSTq11FJLLbWBtdST7relk3RqA2Y973+IoE2F5uIlTe7HKgTnk9BI2NMtno5o+8a83/qyIfZWUa4JO5ZmGiPPncLgdnNJws7a6yVGrY614kXx8SQs6ta0t0hkFW6r8phCz5fjcTkXq1lpwhRXq0KRt+rSOeaGtogHPerAbQDEPOqsA4NC0kyYIpGD5qJ4GZUVKkwtbhGHqjOOEKzwdm67DrFyNIL763+ygo6ledmtQeup7YmMxLcd8TIZNBV0qXB3YLaqtu0rgY/fU98JIGTUuuW34dJ2tM7q+liOZwfqfLeYOQQA0PqqOm7r0CzaRijPt9aTLM2r9viaE4fOiYfCf1iB8YzOTxC4RMBD4WqrU/HZR5YD1ClFGRxVcHuERCTi1Aoxd1lBTb6zRxx0LUu0scMaBptqfDccSsx35JCv6f4YEXm5bYRFay6qle2dVTQVkgQtLkUqPumooeapZRliFGki3e3uqgKplXI62qHL0ggMGETYbFdVPvnJ++paFFtVhKVlWA6r/6aWZYhQxmRyID9CnoBj5bUeusoecCP6bFEU9cGTTifpuKWTdGqppZZaagNrdQIrn9s2NbF0kv4XslmzZuG2225rWP7WW2/1ibXsf7M/a9euxX333de/HUSR5DXNZlvytmGPKjkxC1Qm1d0Je4jiPfepRMZuIe/GNHWpC+dM2XMKXF2yRZ4tg8LMrKZr5WVRnT50XF5JPGj2nmsV4ZTm4wu9qO1ofWWTkUzJfDfCUKg+magkTq3Jnni9R/23374kJVucz/cIlBZU3QZtbF1epo7llysN5WAOlZDV1qzVYDAv6RkbTkaDowj4FblV/ZvPi7xNk3O7oT5/wyUqTSH5oPEzTAFVxZcBQJhrQUTbuRV1X9hMX1kL4VWZmzyZEw+8CCZ7iwx2supIfgxTMAacY2YNZgDavWVebt7MMGCHBPozCFwVEeDOsKSEyiIvNTB0DhoAnKiGokMAP4s1telQRoSYQJlqT+dhWUCJvGrXVb3htk15A5R6R85hj5r3rdrms0Y9ky2YEiWKALMOYGdTeVu2yZYxD4mzOz9IHdgt6wnTyVlwwn7mpPugbpWqYCUtnaT/xWyvvfYSuUm2T+PM/ixzXReZTObzG6aWWmqpDbSlKlj9tnSS/hezbDa7TpnJJ598EqeeeipeeuklDBo0CEcddRQuvPBC2JRLnTp1KjbbbDNkMhncfvvt2HTTTfHkk0/i1Vdfxfe+9z089dRTKBaL2HPPPXHFFVdgyBCV//v1r3+N8847D2+//TYKhQK23npr3H///bj88svFq+eSp9///veYOnVq70+GdJgBlR8VdDXngclTNXJ5eXtmakb25syMo+kTOTdNuzczGS0iwejsmKoTm0kiKJHkiAlpnC9IDlxQx+RRh4EPw6H8Mu3HJnKOyPflQcKEGLw9mxEXXnH4XAilHkVaSIQ8/r/99iUAwAb7b4n37lwEAMi0kkoTq2A5lpRTcS5ePP/Qpj4WNKELta2uUtEJK58TD561wY1Sq+qk58LIsWgHjTMTeCCGgK7xObDgBPlqlo0oRyhn8pojkyIH2TxAXjLs5LUwvLLKD0N7xIwmLjY7ssytEDFMTOmKvT7fo2vtMbkIXycXBnnJTDgSVVS+O8oUYHAens5b9muYCMpUTkZoad9SkQMz9BCSaIULlV8P6yg8PSODLio1y1IunZxYuL6BHjpsM0eECAZf84AOojplFSr+3+uqRAjCZKSgSt52xaU25QgcQOLbnz34mocGxq+AjtGzxtVjX2NxFoq0hBEcUsHyqgG8av+83CjqgyedorsTlk7S/wds2bJl2GeffTBr1izcfvvteP311zF79mzkcjnMmzdP2t122204/vjj8cwzzyCKIixfvhy77rorZs+ejQULFqBSqWDu3Lk4+OCD8fjjj2P58uU49NBDcdlll+HAAw9EV1cX/vCHPyCKInzve9/Da6+9hs7OTvHsBxE3c28tLHfD54CbacDvpAcklaoEXfTAj+WrWMGI62m9omYpqudP9rvb9YRLE6BRp+4UZQIE5UpyGSsxuTUN7qJ1rNwUlTu1BGGPAgGxAhVMQ5cp0YOH64d50jYcW6tZMSiNAGvxOmhDarjVxPbenYsw9us7A9Bc3wwE47pnQJd8ieoXLa8s/RAZirxwiNguqTGsrVwj/TT4haGLAGiWDbgc0qUx8eh4uZIoPvFkG7lqQo7ooW1UOmCwPCK/+FTUuEW1rJQrhWbykWN6FRg0STUNVmNXJU7p0qAMmoaofnJolieWXNGT7zr1YCTOyez6BBH3l0LwVo1+exXNckclYDxpG7UuZEICunG4OyCpzciDQcfj2ufuQE3yJp2HAw9DSuochrepa8cTas0PkacAVzOBxIZQm1XtASyW3aSwd8D1y6EhYe1chsLjfH3pGrQULWlfT+9vmYCTJfAbvTHkSrb85bB2lt5XsrQuCiNkCnT/uSEc9DNfnHJ399vSSfpfzB544AGUStqD2XvvvTFhwgSMGjUK11xzDQzDwKRJk/DRRx9h7ty5OOecc2DSQ3HjjTfGZZddJtuec8452GabbXDxxRfLsptvvhmjRo3Cm2++ie7ubvi+j4MOOgijR48GkNTHzufzqNVq6/Ts41ar1VCLaTx3dnZ+RuvUUkvt387SEqx+WzpJ/4vZtGnTsHDhQvldLBbx7W9/GzvttFNC/WrKlCno7u7G3/72N9Gm3m677RL7WrJkCX7/+98nJn22d955B3vuuSd22203bL755pg+fTr23HNP/Od//ifaiE2qt3bJJZfgvPPOa1huZvMSfjZMU7ioI1IiMjhE7NaELELCxwQqM2Mom8hPknTEuajZ6klNEEUw6sqzhK/adnT/GCTGWsimqZnNHA5pO3IMi1SvGklQtLEetMQcYw8fBndJmRWBxDKtJfGg41zfgOIOr63pSpxfPJ0AKL5sHh+OLtQ43F3Mw7DJK6IXKbOV8A5hiNCgfeeSJDNWqRlhhTWt22Ts1Dmq6EqUb0aUSd5nzDUd5YowWPmJw90E4ApNCybxW3NIu0penWm54u2VO9T5BZ4GiXF7rxYk1hnMMpYtwWimqAJ78hwdMEzNOEbXV9IhdgZBRfGQ+2adTnoIBAaBFIlohLfzTEfadBNX+dpudX3Z+40iAy5lATrLal3W0Qx6zGXD4W6X/lbdCHSLgDlmPGgvGwB6qqGsK7JKG5fc+RAyE5/SCRyxMEwgoPuw0kkEK12qI7miLfdarSeAW/47wt0pmUm/LJ2k/8WsWCw2ILmjKGqQp+RawvjyYrEutxaG2H///XHppZc2HGfEiBGwLAuPPPIIFi1ahN/97ne4+uqrceaZZ+LZZ5/F2LFje93nM844A6eccor87uzsxKhRo3q9fWqppfYFtzDUlQC9aZuaWDpJ/x+wTTbZBHfffXdisl60aBGampqw/vrrf+p222yzDe6++26MGTNGAGb1ZhgGpkyZgilTpuCcc87B6NGjce+99+KUU05BJpNB0IuaxWw2i2w227A8rFXEYwqqVYREXsJ5XHm9CPwGlSRWhQpdDw11JcyrHYUIyqzLzFrVTIPI5gkvN+o8aURRQ56b6SoR+Lokp85LjoIAAbkszHMt6lmUtzYsC0G5J3E85ruGaQjVJ3vAXGZlWpbkoONc3wDw1o8fb+Am53OzmW97dafWj84RgIva+l63Pgke53blMRq5oi5XkjI0yst220KhyWVZjBmIiIvaqFVEOznikiYChBndVVF3Msmj5t+Wp/W8S4PVOVQ61brBowootKh9OESyEUjkIUL7R2rMOG/NQDJ0ENd6eTVCJlTJkpJZjzrf0MoiZE+fwWXU1nR7YEXU34DLrFQ/clFZ8rKmSd4uedRupPqRN2ooZuTuUX0haEYx9m/CpVfFPJU/RRFylHvnKsFqjV/GQ7ltM+R5F8hbzjiqTdYxEEZRog1X7FkmkKXccr5J56LZGA/Ayzjfb5oGSoPUeZXXurCcfmrZR1EfctJpuDtujTG61P7l7IQTTsCHH36Ik046Ca+//jruv/9+nHvuuTjllFMkH70u+/a3v401a9bg0EMPxeLFi/Huu+/id7/7Hb7xjW8gCAI8++yzuPjii/H8889j6dKluOeee/DJJ59g8uTJAIAxY8bgL3/5C9544w2sWrUK3rp4mlNLLbXUPseiMOrTp6923XXXYezYscjlcth2223xhz/84TPbX3vttZg8eTLy+TwmTpyI22+/PbHe8zycf/75GDduHHK5HLbccks89NBDiTZdXV2YM2cORo8ejXw+j5133hnPPfdc8ryjCPPmzcPIkSORz+cxdepUvPLKK306t9ST/j9g66+/Ph588EGceuqp2HLLLTFo0CAcc8wxOOussz5zu5EjR+KZZ57B3LlzMX36dNRqNYwePRp77bUXTNNEc3MznnrqKVx55ZXo7OzE6NGjMX/+fOy9994AgNmzZ+OJJ57Adttth+7u7j6XYJm5gtZEzmbEs3NXKU+H889RoSRCCOIRc2lVQjDCkn2xBXY10V6EOeit3cxm4ZjKY/I6lafEiGgYhtYUJuMSsMjzGpSbzFi0wKyLHDCCXFDmlgVwyRYjwYnMxHQsGJTrNJtVioLR2oZjCYqb1aze+vHjAIDx3/oPKc+qfrI2MV583NyoDaTMyqToibtWoay5fAsA/G4qNRsykvbjS5iRc9Ls96gxomU9dF2oPM3gcqtCE8I8KWMJCQztodCCwCNgIeeyO9U9ENlZade5Ul2ftZ8Qsr8WYvAGRAtKeeq4J9dFetLsYXIZUdQ0WJ2jnYHB4hch52PJc7cyMVYPypNHXFJlo+Z2yXcAMMi7K4cGIqpYMCNGrCdLsILIxhrKlw821N8Kobs7ayYsQmkT/wxsS7VZ3RWipbBudPbKTqDsqf62UE7Z6CLhi4AQ4U4oQaZBJV26BSg4ROdKNa7da9S4cU4/V7LhVnTlAKCIS7gfnMP2ayH8Wj9D0QOI7r7rrrswZ84cXHfddZgyZQquv/567L333nj11VcFrxO3hQsX4owzzsCNN96I7bffHosXL8bs2bPR1taG/fffHwBw1lln4c4778SNN96ISZMm4eGHH8aBBx6IRYsWYeuttwYAHHvssfjrX/+KO+64AyNHjsSdd96J3XffHa+++qpEOC+77DIsWLAAt956KyZMmIALL7wQe+yxB9544w00NTX16vyMKCVKTe1/2VjofZ+DfwQnQ/KSjqMVkzifziHXaqxEim9HWme3tMoE1GBRJEpVelHyH9zMZGKKTRS67GaAVA4Rh8IllM7sYJ6uz6YQeGHCJOm3nhypZradJkKS3IRhwu/sSpwnA9hKY9eXMizurwC/YhMpT9x8rNzQVinPevWHvwUA+PTiwfv2OzokrM594+0zrS2orFiZ6BPzqIdd7QK4YlCY5lF35DvzeRvEOLbRBs248spZmDPnVrzz7PO0XXKSjpyccHXzRG51Uz8iX0qwFp6r9rnsDXWMlqE5tI2kFzuapOPlQAxy4kvHNb5zbhtJA+giIq5wnpCd9vfVqmyzLIscepEsr6bfeRS6lqrvxMfNADInKMM3VZ/yobq+Pvk6rqVeuIrBWgzKqOvbRoenDAZWdQNMjFaiS80gr9VdoUyuHArnc1vRHqLsqv6Wskk+cJ6Yc46BMr0MtBbVhvzO6gcRjv/eOADAGk4TDFb/V5m8hfJaqo2nF2IOe4dBhBK1617toqvsYeI3foWOjg40NxMw8jOMnwV77XMhHCf3ue0BwPOqeOjBs3p9jB122AHbbLNNAnA7efJkHHDAAbjkkksa2u+8886YMmUKLr/8clk2Z84cPP/883j66acBKAfnzDPPxLe//W1pc8ABB6BUKuHOO+9EpVJBU1MT7r//fuy7777SZquttsJ+++2HCy+8EFEUYeTIkZgzZw7mzp0LQFXCDBs2DJdeeimOO+64Xo1HGu5OLbXUUkttYI096d5+oCb4+Cde5snmui6WLFmCPffcM7F8zz33xKJFi9bZlVqthlwu+cKQz+exePFiSel9WhuexH3fRxAEn9nmvffew4oVKxJ9y2az2HXXXT+1b+uyNNyd2oDZ8N12QK6lRX5zrqmyQgGMOCzrd1cFLFUPErNzGUGyc7mSlC+FUYOOs4SNY6VZHPZlr5XDyXYxp/WkyS1hchOvu6zJLqj2xWbXxzBkHxZ5q+wBx3WhHQpls3dtCBNYVrxcUbMiCyrVhnPgEH71k7XiQW/yPRWWW/HY62pDHtuVa+E0K/fN6ywn+m/lMnBaCjJ2AOAOagUNToPnrX+Hsn8ee/bES4PVeZc22QRNTSMT/eZjWFlHl8Zx9IQ53S0LAT18Tz7nGnWeOVU2la2uRiZS48O6yKyX7Bo5hAY/vpLBwKYD95bzMOuIslm1LJfLyLVnsheOZkRBoPtO15MD2qHrwaLx8axkmDtLaZhqdxlLicjmvU4idCEyGHNMsSGCJAxv6zkakEd/mT/eGt6mQZEU/QmJa5151CPfkyhISNsL810Q4NSz7wEA1Ax1zZxI9c2GDxdEbkNAN9GlhokMKDyODLwgqUbWa+sHuru+QuTcc89NkDcBwKpVqxAEAYYNG5ZYPmzYMKxYsWKdu58+fTpuuukmHHDAAdhmm22wZMkS3HzzzfA8D6tWrcKIESMwffp0LFiwALvssgvGjRuHxx57DPfff78AaZuamrDTTjvhggsuwOTJkzFs2DD8/Oc/x7PPPovx48cDgBx/XX374IMPejcWSD3p1FJLLbXUBti4Trq3HwD48MMP0dHRIZ8zzjjjU/e/rhLV+mVsZ599Nvbee2/suOOOcBwHM2bMwKxZswAAFr0IXXXVVRg/fjwmTZqETCaDE088EUcffbSsB4A77rgDURRh/fXXRzabxY9+9CMcdthhiTZ97du6LPWkUxsw8zrLcLJUomSaUnpVW61yjuxpup09QospgDH2YrOR5G9DnwkpWN2pAK+LAFDsBa0LGUq6v1Yhm9je76k28ILLJl4g/Njipbs6b6dLoJLH9amUKgoCAYqxx8ZtnaZ8jGwlTLSJgkCAbZqoROemOa/OHvTw3VSenLm/g6or3rymDqVyryAQrzoUGtaK9N9k3WryPr2ObvnNpWXCWU7AOS8TyHnH95UYSzemSFan/x0glnOP1DqPSsWyUQUGkhScTI2ZiXz0ENDLibQWNgD4jD2oVGEKuQ2VyPUk1c7i3wV0GLOgwn9JjzqXEz1yji5YhXzi3MKaK95usEppW8OOUeBSGZtce6KdNYot8l2M8vuBaWp1sjJTs9LxYs0ZVyD64OyRZ/OSJ+8kUpOCra63bUYIqOSsnh8cADKWal/2A7hRPz3pfghsNDc3f25OesiQIbAsq8FrXrlyZYMHy5bP53HzzTfj+uuvx8cff4wRI0bghhtuQFNTk2gaDB06FPfddx+q1SpWr16NkSNH4vTTT0/wR4wbNw5PPvkkenp60NnZiREjRmDmzJnShpkaV6xYgREjRvSqb+uy1JNOLbXUUkttYC0Kdcj78z59QHdnMhlsu+22eOSRRxLLH3nkEey8886fua3jONhggw1gWRZ+8YtfYL/99msoac3lclh//fXh+z7uvvtuzJgxo2E/xWIRI0aMQHt7Ox5++GFpM3bsWAwfPjzRN9d18eSTT35u3+KWetKpDZgZtqVzvqYp33XNDL1ZR6FWuBIaUZ3X5DyoRfSNVp5Kt4IQFsv+MNUn/Y9pNawQMCNpnziGZYkaFeeitZhFRTxK9pDsppgqFO9fCFKS/9yGaUqmtMFLD0LtSRtM4cn9teWfkrdjohIzkxFNax67uHoWAHzwy+dgMi0o06F6gf5LxzUpy+qWqYTNsRGyZ8flSt0qf5sZ1CbejWh5S1TDlG3qiWHEo45s6Tfn7sMaecbZRuS+HVBeFgZKFuVWG1oFyJDms1Un+uBJBCNAUKkjuWGv2XW1uArfa5wnz2VFTIVpVHUu3dPfA4pwUIWBIPVrVVFTEwIduaih5JlFr5uJYmoVrcwlKmO0oeci8jiiwpBtuncLRMpS7REvm9H4iJUYMtK82klIeUtdn0ImEvpQRpCzGUaE5hxFT2oBaua/nsDGKaecgiOOOALbbbcddtppJ9xwww1YunQpvvWtbwFQjIjLli2TWug333wTixcvxg477ID29nYsWLAAf/3rX0X1DwCeffZZLFu2DFtttRWWLVuGefPmIQxDnHbaadLm4YcfRhRFmDhxIt5++22ceuqpmDhxIo4++mgAKho4Z84cXHzxxRg/fjzGjx+Piy++GIVCAYcddlivz++fNknPmzcPCxcuxMqVK3HvvffigAMO+Gd15V/OZs2ahbVr1+K+++77Z3cltdRSS+3vtzDqA3Csb1XBM2fOxOrVq3H++edj+fLl2GyzzfDggw+KaNDy5cuxdOlSaR8EAebPn4833ngDjuNg2rRpWLRoEcaMGSNtqtUqzjrrLLz77rsolUrYZ599cMcdd6C1tVXacJ78b3/7GwYNGoSvfvWruOiii+DEZGpPO+00VCoVnHDCCWhvb8cOO+yA3/3ud72ukQb6WCc9a9asxNvGoEGDsP322+Oyyy7DFlts0euDvvbaa9hkk01w7733Yscdd0RbW9s6aSUHyurPg2369OkNrDL/DOvo6EAURYkb4p9lhmH0+SWKayP/89R7UFxvPQDkEZOH1/WWQjayh1j7eCUcksEUdDR5NXapqJHX5PFwrtVpLsJtV/ntRp1lTR1qFQi9W0tScYY1F2Yued+xl+R1dGiPifORRE5iGKZ4TdyGZSlFMzcINLcje1P0u2nSxqIRzefiUz7XLhXQ/eY7ieMFJIaRG7UBqstUjrN1602TY0HEJ6MP3h5/u/9FGguSUnx/mdp3U0nO3V1DFJ6MFI7VqjOxDFOzGobZgBZm/ezRQzK48oeH47vzfot331MEJSyDyfXoVqlJxpAFSWRdsSRjttVbPwEArC6r652xIrSS1kfNb3xM1Tx1P1SJzCNHnuE72xyvzs33YJFQS0heJx83PmHI+bLcaLGEoH01nQvdH1wnXinrOvI6pDO3DcvdiLrU+NprP1Qr6TEbZkuIbDV2FtVl25SD950ScjW1jGuxGbnu5gYBFgt4kCRmtZ22IzGaoAabkuhMuBJYlAs3HRywkerLx6tVvwe3EE1ozkJARDDtVHvOtKI1N8LgNnXNarUQFc/HyQ/9qc910tOnngbH7t0z3vNrePiJy3p9jC+69dmT3muvvURfeMWKFTjrrLOw3377Jd5UPs/eeUc9hGbMmNEnlFu9eZ6XeGvpi8XPg+0f+aKwLguCAIZhoCVWtvR/2ZzmooSMJSwNwGlR/3h2UastcTue9KwCkTrE2jDYKV7SxN+zg4hVrItVqWLhcmYso4nMpxBv5PsNWsTCapZxdEg3n0/017CshpKi+HYAgYdCHeqnDqtzairo41F4nUP6MAytB20lubRNxxaiEi6zEnYxavu3+1/EBjO2AgAs/bUiF8kNG0JjESbGE9AhbTObk9AzlyQxQYuZycTC3Vy2VKS/VLKTz8OmB6qcd5O6j+2mIkLmEed1XFpUyCOk2tSyS2pOPqUZQh9+kGTn4sdFdywsy9N3R0CEJa2qH0G1Ji+Ccr0oxB36HkxmP+MyK2a9i0KguVWdO1179u6igk55SOkUvZQw6Y7fbksAPiA+cNazhpPT7GdE7hF2q5ebsNCGskPHq0ufhLlmAZ8xj7qbIUEdDrObNnx+eXSJJ5/3Z9r4cMV7AIDVRCnfU1Vj0loM4dE4d5aTL0OWCVTpxa5ci1DrbwlWqifdb+szcCybzWL48OEYPnw4ttpqK8ydOxcffvghPvnkE2mzbNkyzJw5E21tbRg8eDBmzJiB999/H4AKczP1mhmTAwzDEOeffz422GADZLNZbLXVVgmv9v3334dhGPjlL3+JqVOnIpfL4c477wQA3HLLLZg8eTJyuRwmTZqE6667rk/nwR+WaHziiSeQyWQS/K/z58/HkCFDsHz5cgDA1KlTceKJJ+LEE09Ea2srBg8ejLPOOgvxwITrujjttNOw/vrro1gsYocddsATTzwh62+99Va0trbigQcewCabbIJsNosPPvgAs2bNSniuU6dOxUknnYQ5c+agra0Nw4YNww033ICenh4cffTRaGpqwrhx4/A///M/iXN89dVXsc8++6BUKmHYsGE44ogjsGrVqsR+Tz75ZJx22mkYNGgQhg8fnqhD5PDPgQceCMMwEuGg1FJLLbVeW29BY32pp/43sb8rJ93d3Y2f/vSn2HjjjTF4sOLLLZfLmDZtGr7yla/gqaeegm3buPDCC7HXXnvhL3/5C773ve9hzJgxOProo2XCA1Rd2vz583H99ddj6623xs0334z/9//+H1555RUpDgeAuXPnYv78+bjllluQzWZx44034txzz8U111yDrbfeGi+88AJmz56NYrGIo446ql/nNXXqVMyZMwdHHHEEXnrpJbz//vs488wz8fOf/zwBpb/ttttwzDHH4Nlnn8Xzzz+Pb37zmxg9ejRmz54NADj66KPx/vvv4xe/+AVGjhyJe++9F3vttRdefvllOadyuYxLLrkEN910EwYPHoz1KDxcb7fddhtOO+00LF68GHfddReOP/543HfffTjwwAPx/e9/H1dccQWOOOIILF26FIVCAcuXL8euu+6K2bNnY8GCBahUKpg7dy4OPvhgPP7444n9nnLKKXj22Wfxxz/+EbNmzcKUKVOwxx574LnnnsN6662HW265BXvttVdD/R9brVZLsAF1Ung2qHlCHhHYNswsAWb8dZcvxZdxWDT0/QYSE/aETcuSbb0OFar0yDN0mok3OwiA0JT+xI8P6PIq1nPm4wcVXZ5Vb6Hni+fMVk+aAcNo8KC5jd9TFS9ZQu8c3s/nxMtmz4w5z03b1uVRRFTC4W72qK2MIx70hv+p9MXfuuH30sbt6NLnh5iXb1ni0Xprk3SmgPaAuRwsoJA0eJyjEH4XhZKlTIu950j2Lfsjj8xbuxYWSazmSM3JrKpjNWdD5Ml5rLCQGXNTFwJUKNxdI51x5sQOypqHWhTQ6swwTA2i4/B8rDyLw/v1YDiEofQ9Hh4HgJC99EqPgMJAtKQG6VhHVijfhV+eAGiodYu2dkghcYPWmVGovOnYvqzKWtWWFL6MWpeozvF2YF5xr4Ih6xEA01THZcWtfM6ASc2bkoEWZGwD+RwreUWo+v0sCEo96X5bnyfpBx54ACXKlfX09GDEiBF44IEHBLr+i1/8AqZp4qabbhIv+ZZbbkFrayueeOIJ7LnnnpJr5ToyAPjhD3+IuXPn4pBDDgEAXHrppfj973+PK6+8Etdee620mzNnDg466CD5fcEFF2D+/PmybOzYsXj11Vdx/fXXf+YkHT8Ptrlz5+Lss88GAFx44YV49NFH8c1vfhOvvPIKjjjiCBx44IGJ9qNGjcIVV1wBwzAwceJEvPzyy7jiiiswe/ZsvPPOO/j5z3+Ov/3tbxg5UjExfe9738NDDz2EW265BRdffDEAFbK/7rrrsOWWW37muG+55ZYiqHHGGWfgBz/4AYYMGSIvBOeccw4WLlyIv/zlL9hxxx2xcOFCbLPNNnIcALj55psxatQovPnmm5gwYQIAYIsttsC5554LABg/fjyuueYaPPbYY9hjjz0wlMKura2tiWtVb5dccgnOO++8z+x/aqml9m9s6STdb+vzJD1t2jQhMl+zZg2uu+467L333li8eDFGjx6NJUuW4O23325Ar1WrVclF11tnZyc++ugjTJkyJbF8ypQpeOmllxLLtttuO/n+ySef4MMPP8QxxxwjkxWgeFU/L68bPw+2QQReAlT93Z133oktttgCo0ePxpVXXtmwjx133DGRU99pp50wf/58BEGAP//5z4iiSCZDtlqtJlEHPk5vQHfxNpZlYfDgwdh8881lGRfHr1yphAuWLFmC3//+9w0vIoDCBMQn6biNGDFC9tFbO+OMM3DKKafI787OTowaNQp+VxlmQDnmXCSayR4JT7CF1ZqUvEj+NZeV35JfJkUfm0FitZqoORktVIZCXjIvB2K5XfK6w5jXz+QjQsFJ3nZQq0r+MmCNaagoh5lxJJfL3qbfzcQfmrSivuxHCDHyOcnRM/DNofKu6qp2yQnXVhG4i7xsVrNSy3iftcTvykcrJQfNHvT4b04DALz+o4clQsG5/OpHOprF6zhfzMAxM5/X5UpMrML0k3ROQWeX9iwpt8t62kG5R8qHxOukdWa+IKC7pry6BkNJa7opZ4hmMnt4DGha3RnCptI6Li1yCVz2EfcxaiwL8zvUmBpOBnCTOATR/w5DORchEOH8s+1owBh7x1W6zlxaVavAXKNAWk5F0ZoyuCuwM7B6SAGMRT88dQ940CCyMCBvOVTn4oX6eWqSkpdBxCJWda36G7gIPeoLCYMYPvXRMJDPqeO1d4aJsWxrsfHxKnV+g1q4FFCPWalI/8NWAMfrpyfdD1rQ1JT1eZIuFovYeOON5fe2226LlpYW3HjjjbjwwgsRhiG23XZb/PSnP23Ylj2zT7Pe0KcVKTQGqDw2ANx4443YYYcdEu0+LTT7aeexLmMS9DVr1mDNmjWJY3+ehWEIy7KwZMmShr7EJ858Pt8r8Fw9QM4wjMSyeG6f/+6///649NJLG/YVD9mva79hH/9JstnsPx10l1pqqf0LW+pJ99v+7jppwzBgmiYq9Ea9zTbb4K677sJ6663Xa/h8c3MzRo4ciaeffhq77LKLLF+0aBG+9KUvfep2w4YNw/rrr493330Xhx9++N93InX2zjvv4Dvf+Q5uvPFG/PKXv8SRRx6Jxx57LMFI86c//SmxzZ/+9CeMHz8elmVh6623RhAEWLlyJb7yla/8r/atN7bNNtvg7rvvxpgxY2Db/b/MjuMIqXxfzW4qIDdIRTT8cg0ZKoeJAuXpmY4WW7DrUMci3ZjLaMQ001aSF2oVsuL92QXyrskj12hxU7zGoM5bNyyroeRLhDKqWb2uqZhYZ2Wz0t/QSyLOdf91LlTKw2JiIPydrbZmrbStrVTel0XH8Mm7Uh54VvYBaMS7iIA06ZIm7v/rP3oYADDp5Ol4+6Yn1LlT5CA7TEUHgnIVNp0n990cTPrQoSabsSkHzREDp1X9zW+4PjIUcOCIgUm5dLtUTIhXqEa6LI09WdY+XlWhKEPgC+qYvWR+nzUNoMdlYhZlIVGecBTGME1NlsLo9Jj+dhw1D+iSNyAmTCEH1JEEvucYAc75a4uQ34FlIYSihqxV1fgaFeUtI5OH36SiXkxcUqM8cti0HsJuBeyMqHTKJ084LAwSEpSQUendFGkh1LcXhTDIyxcPmvWwAxefrPmbGl+6TkxeU3U9tHer7w5RgGZIKtP1I7SSBGhXOULV79+zIJ2k+299fnrXajXhSW1vb8c111yD7u5uQWwffvjhuPzyyzFjxgxBay9duhT33HMPTj31VGywwQbr3O+pp56Kc889F+PGjcNWW22FW265BS+++OI6PfK4zZs3DyeffDKam5ux9957o1ar4fnnn0d7e3siBPtZ58Fm2zaGDBmCIAhwxBFHYM8998TRRx+NvffeG5tvvjnmz5+PU089Vdp/+OGHOOWUU3Dcccfhz3/+M66++mrMnz8fADBhwgQcfvjhOPLIIzF//nxsvfXWWLVqFR5//HFsvvnm2GeffT5/sP8O+/a3v40bb7wRhx56KE499VQMGTIEb7/9Nn7xi1/gxhtv/NxIA9uYMWPw2GOPYcqUKchms4KA740ZpimTmBF7ueHJWcqHHFtKTlhVqr4EBYiVz1BIGqYRq52mByWHyblkJgxgUxhVjseArIwjk1w9A5iVy+iHMfOIc7jc9/ULA79AcPQhppUt7WOc34AKUYvGNbWRic2xEUiotfEasR60qFnR+DIIKqx4UmbFIDE+j7dvegIbHzsVAPDurUpOz11DKk2x0LCwgsX4yfmlhAFncJKPDr+nosuy5AVGc5fzxM9tOIRvOLakOrpr6hwqIZWCeSGYmTqK6PyYxCwyUKGSKwaM+RGFj+lFwuvkNIXmGudxgmnAImAbvyTEy7Xi7GNAjPvbMKVkS8oFw2Ji34bVBo+vL02kaBtB/cgL13aUpbHgsqlCM8L6aGJAoLCmNqnDjipcXkW11KSCZdgZXY7FzGMcgjcMLF/9KgCg01XLqgTIzNkhKn7yXhMQXmSiiybpHteCG/SNaEQsDICwl+VbYT9fBL6g1udJ+qGHHpJwaVNTEyZNmoRf/epXmDp1KgCgUCjgqaeewty5c3HQQQehq6sL66+/PnbbbbfP9KxPPvlkdHZ24rvf/S5WrlyJTTbZBL/5zW8SyO512bHHHotCoYDLL78cp512GorFIjbffHPMmTOn1+fBNnHiRLz++uu46KKL8P777+O3v1WygMOHD8dNN92Egw8+GHvssQe22morAMCRRx6JSqWCL33pS7AsCyeddBK++c1vyv5uueUWXHjhhfjud7+LZcuWYfDgwdhpp50GfIIGlGj5M888g7lz52L69Omo1WoYPXo09tprrwZ+2s+y+fPn45RTTsGNN96I9ddfX0rpUksttdR6a0YYweglk1hv2/27WJ8Yx1LTNnXqVGy11VbrBJT9uxuzDB18xm+QJ5BcUHWFBYzBWtk29dLm9VQ+lbs7bhKm5vKsmtsQpmbgGLcxHc0fzrrSQooS0zmu59f2eyoNIWzxNAv5hvAtH5c9trBW07zcdV4nDEPau+1r1fYee9umkGMwSAvi6RUllF3aSEWk3LUEWKM25WXLFdc2EFPx0pznDLrbaNaXAQCvLfhvOY/6MjJJOeRzGmBnmYl9bjgoix+cMhXfv3YR3nn3ExkfAPDIkzcdW8qiODqQ4Lumh/LoxUpP+uOa8jCzhofBWTUGFSqzaspS6LVmohwk+5sx1D5X7XKiLOPUiL73CPBnmLDIc5ZSM/ZCPV+8ewivN10fx9ERHS7TkmtPnrljw/3wfbWuQtGMvAJ+Gbk8wm5SvWJlrE7imCi06FAvR5LYy7YzAClcMXAtqpWT+6n26JIrGQBTttnw4ycBAB2Buj55Q/U/bwco+xTyN0L6SyBNMxLxqnLgwA18/PTNZ/rMOLbXtt+AYzXytK/LvMDFQ0tuThnHyFKBjdRSSy211AbW0px0vy2dpFMbMAuqNdGODl03kZcGdM40dD3J++ocM3m4NVeIMDhPyJ5a5GtVJ/7H9qhMyWklwFqMFlRoG4m0IjukTUqY2PMWryjmVWbY4+9isoswRneaLJeK56TZWDebt3dXrRFCDP8ThYsQr6jUiqhLAcfMVlUNEbarPHQ4ZKR40u6gVjVOxPnNalaR6+ryMBpvLrPKDltPctDsQU8+ZV8AwBvXPiJ9Fw+6oMF89cA+4VNnpa2o0YNmi4JARxxYaYsjGJWygLQsupRZQx2/YHmC22LFJiYwydsRqqxqRm0CsDa4VouKIgIC0rVnwFoYelpNSs6J7wFPPOd6HnPUqnpZrIyMt5NzytE9ymVarG7l2bHj0DLKTRuWxmag7n/FamrV/OHMs87b0/6MbF7RjgJ6oqN1CEN0B3T/G2q8q5HGWHSDAIGUN85C/V94gSNa3j0owkMy4tRrSyfpfls6SffT4vSeqaWWWmqpfboZUQijl5Nvb9v9u1g6Sac2YBZ6PoxiY15Waz3rshhWqgrK5UQbzjUDQBTXiIby4phEJHQpl+0k0eGRVxMkcgOxRU9FvMd4nwHyqMlF43ys7kiIKEBinaCHY7rLQpBSJ8YRRWGDN2U45Ol5bsL7AQAjx6VrvuQz6/Wd2aMNqxXJjaIOwR+Uq+LJciTgjWuVIP3Eb+8h32UsYprPUR2YJwqY0pXK23rK4kFzPlcT0oRSCsWeP5vhOBprUAdDCCIDAUcmaF2OhcViz3GH8qjlgMaNUdawJX/M9wmPiWFZIrBRr2gmXnPsezwnzd8lJ03XySKiFphmI50oXWezZTDCrmpimVEltLYV+x/hPDN54mE2rz3Meh4D/m3auo1oTpO3bWeQMYiKlW5e/m0ZIZojJlQhFTioscnAlTy1HbqIolRg4x9t6SSd2oCZ6dgyOfs1twGYxOVWptMkkx2X6MQBXRJaFVUoXe7EYUwJL9erWjma71racm11Md8wAUtou7NbwFHCl02TkJXPSf9kkucyLanBNiV0Li8jDGqL8UazRTUCZuWKAD38Q4NARxz6DEMYGQ7f0jkx93fswcYTIqcJ5HybirE6YSfR/zeufQQTv70HAODNhY8CiNV1Zx3UVnfImNFO6Wik7NVSgr2WZC/rFM0AzfLGYK0EpzaNXWeNwG8Uoq4FASxDvbR1+eqcChZJbYaWhGizJM/oI1liFwWBANUsk8rCuFY+Nl5cesX3VQAlrxk3kQ3t6RGucX4hlBfKHNfDV4VhLaqXtbQsNZkCMJqI4ZCvabFFrrW8iOZJhjJfkONFVXpxoBc7Dn8bliUhccMqJsY28j1UInU/12x1j4cB8dyHLjyDxoxBcQZP1lk4oRqzcnYovCANd/+jLZ2kU0sttdRSG1AzEMFAL0uwetnu38X+6ZN0FEU47rjj8Otf/xrt7e144YUXpA7539W+iOVdhm2LJ8xgLS6J8jq6NMlFXZjQsEwElaTSE+8HhgmDQ41MwMEh2gyX3gRSiiQhd/Ievc5uzSpGHum6vGUJgbOXbpkwAvaEGeiWPG5Qqep9U5/8LuW5WMWCBsENIkaqGEc0qykJ+Ii981weYAGlOo9YWMbyBeH+1mpWfI5uIn0QP29Ae9ATjt8dAPDqDxVPgF+uNbRnMJxJnmpQqWmiEylR0mV19aQtzPlt2LaElFtz6px8InPJmCFKGbXd8GbVh6rHALIQIK1mg8qFSiTl9DGDw1w3FkpP8rCb+YIcl8ljmCEtCnxZx+VwYTelNfJ5uXZBp4oucJjbIw/XcBwEa0kStkzlVnR9oqGjpCwLHnnZPqcOQsCjsRY0HP0/tK0Hs8j89BQ96aH9ENgrrPrisRu5UmJdFIYCyIO/FgBQMNWxHDNEldrxBGkR5Uo1dJAz6TrWVsLrt5501AdPOp2k49ZPtvS+2aJFi2BZFvbaa6+GdQ899BBuvfVWPPDAA1i+fDk222wzGIaB++67b8D6M3XqVBiG0fD51re+NWDH7Ivdc889uOCCC/7Z3RAN7xdffPGf3ZXUUkvt/7AxcKy3n9S0/UM86ZtvvhknnXQSbrrpJixduhQbbrihrHvnnXcwYsQI7Lzzzv/rx/U8r0FAgm327Nk4//zzE8sKBF76Zxn3N67G9X/Z4mCjyPcR+PqtHoDOyxqmeKsMLBLP2PUkzyw6wbSdXdI5ViGrIC3rhvx17Huc35uXcV855+p39wiYjXmy2YeIwijmVa+D4hRAUI5i/OHUhjnEKxVdgtSt+sv6w0a+JGAh6TeVZ4XxfUmevFv6Cyigk9vekTiuqFkNbmvIpXPZVFhzJRrAHvQm31NUv69f9T8N58Ia31r/24p50G7ib6atVXLmQtDCQjCVslxDofyk6ETG0teO5MLhhaQdbWqvj51OL0oe31gHtaxYGEr0QtABcV1z9q75fAUnYOhctKOjNYmx8TyYBfJ6hfObiGXyBQTlzmRfuPwwX9K5cvaICzo3Lmpdbi25PZUBotwJo9ia2J7XGZ4rtKls1ZDuIQQIyV9jwJhNADET+hqEMKVdny2Keu8hp550wgbck+7p6cEvf/lLHH/88dhvv/1w6623yrpZs2bhpJNOwtKlS2EYBsaMGYMxY8YAAA488EBZxvbb3/4W2267LXK5HDbaaCOcd9558H0dfjEMAz/+8Y8xY8YMFItFXHjhhZ/ar0KhgOHDhyc+zG5z++23o1Qq4a233pL2J510EiZMmIAeYiwaM2YMLrjgAhx22GEolUoYOXIkrr766sQxOjo68M1vflPERv7jP/4jIb05b948bLXVVrj55pux0UYbIZvNIooiTJ06NUFrOmbMGFx44YU48sgjUSqVMHr0aNx///345JNPMGPGDJRKJWy++eZ4/vnnE8dftGgRdtllF+TzeYwaNQonn3yy9J/3e/HFF+Mb3/gGmpqasOGGG+KGG26Q9WPHKpGArbfeGoZhCPVraqmlllpfLPWk+28DPknfddddmDhxIiZOnIivf/3ruOWWW8BMpFdddZWIcCxfvhzPPfccnnvuOQCK95qXAcDDDz+Mr3/96zj55JPx6quv4vrrr8ett96Kiy66KHG8c889FzNmzMDLL7+Mb3zjG/3q85FHHol99tkHhx9+OHzfx0MPPYTrr78eP/3pTxNylZdffjm22GIL/PnPf8YZZ5yB73znO3jkEVXGEkUR9t13X6xYsQIPPvgglixZgm222Qa77bYb1qxZI/t4++238ctf/hJ33333Z4aVr7jiCkyZMgUvvPAC9t13XxxxxBE48sgj8fWvfx1//vOfsfHGG+PII4+UsX355Zcxffp0HHTQQfjLX/6Cu+66C08//TROPPHExH7nz5+P7bbbDi+88AJOOOEEHH/88Xj99dcBAIsXLwYAPProo1i+fDnuueeedfatVquhs7Mz8QEAM6MDNXYhr/LStg2nVIRTKqrcrmWSR6sIL8xsRisXQdFP2k1F2E1FWWcXC7CLBYQ1F1Yuq1DYhB61m5thNzfDzGTUJ5uR73w8p7kEp7kEu5iHXVAfM+PAzDi6T9ksIt9HRGIaoevBymWU8IZprKN9Xb8LefG4ua3TXITTXITpOLCKBVjFAgzbgWE7MAtNMAtNKvWSK8HIlWC1DILVMghGoRlGoRlmJivtoyAUUhUz4yAzqA2ZQW0wDDN2vkphysznVS6V1KxC11OKWrH8tJnNwGkqwGkqyPavX/U/eP2q/8Gk/9pbkPp8vqHvI/R97WGbpuyTt3eam+A0NyH0fPhdPfC7emBkMuqTy6mPk1FUm46Dmm+g5htUemWg6luwzAiWGcELAS9UQRTTABwTcCMbbmQjiEwEkSnOmmGYgqDnMeANDYvIRKJIlnF/o8BHFPgwszmY+YJCVNP2RiarBC7iXh5pJJvZHMxsTs4NiBG4ODnAycHIFmBkCwh7uuX6ItA5ZACA58JwcupD7WFnADsDw8kgrJSVh1+nzSwpO8uWfhq5vPpw/3N52EYI2wgRwEIAS8BctqH3ZdHauNfsRxb8yEJgOAiM/gZfwz5+UmMb8HD3T37yE3z9618HAOy1117o7u7GY489ht133x0tLS1oamqCZVkYPnx4YrvW1tbEsosuuginn346jjrqKADARhtthAsuuACnnXYazj33XGl32GGH9Wpyvu6663DTTTclll177bWy/+uvvx5bbLEFTj75ZNxzzz0499xzsf322yfaT5kyBaeffjoApXr1zDPP4IorrsAee+yB3//+93j55ZexcuVK0Vr+4Q9/iPvuuw+//vWvRYjDdV3ccccdn6u1vc8+++C4444DAJxzzjlYuHAhtt9+e3zta18DAMydOxc77bQTPv74YwwfPhyXX345DjvsMPHIx48fjx/96EfYddddsXDhQuQIJLPPPvvghBNOkH1cccUVeOKJJzBp0iTp0+DBgxuuT9wuueQSnHfeeQ3LIz8QJSIzoxV6fApp28Ic5jfU4caZu6TO2E6CvCI/aGAq41C6bGMactx6cJcRWghIUUjUrES1y4AGhXF4XE/CEuKU49bXEQdScuVJW1P329SlMbRS/clkBUgUUt+k1hV5zUTFKQDmmBa2sFqshpoZuTSQS8L5XPJGv6MwkjIrNqmlvuZ3mHjingA0U5kwtNEx/O6ylFlpDmzqhxePdvF5cujWlWVZm87JU+uylqflKDmkTeFuNwAc4uoOSCGLNdXjYX6zkNSA53Ilu6VNh49rGvAFAKbtwFujgF/sxTA7mWE7DXXKURz4BQBRJIpVYfvHarsCcVDHmMQMDlPHrz2D/LqIwY55ui1L18/7mlEt0Q/PlXsHlCKRfWfzErrmv5wuiIewA6qT5jaWESFnquNUg/7XSRtRBKOXYezetvt3sQGdpN944w0sXrxYPDDbtjFz5kzcfPPN2H333fu0ryVLluC5555LeM5BEKBaraJcLks+ebvttuvV/g4//HCceeaZiWXrrbeefG9ra8NPfvITTJ8+HTvvvLNMxnHbaaedGn4zInvJkiXo7u7GYBKYYKtUKnjnnXfk9+jRoz93ggaALbbYQr4PG6b0aDfffPOGZStXrsTw4cOxZMkSvP322wmpzyiKEIYh3nvvPUyePLlhv4ZhYPjw4Vi5cuXn9iduZ5xxRkIWtLOzE6NGjerTPlJLLbUvsKV10v22AZ2kf/KTn8D3fay//vqyLIoiOI6D9vb2PmkTh2GI8847DwcddFDDOvYKASTC0Z9lLS0t2HjjjT+zzVNPPQXLsvDRRx+hp6enV4os/DYfhiFGjBixTvrQ1tbWPvc3DoDjY6xrGesah2GI4447DieffHLDvuLAvXpgnWEYWhu5l5bNZiVaEDcrm4GdIWCS68lbvSlelFZZYo9Ye8msRaw9UlZOEmUjP9BeGpcCscqRKBtp0hBhAKNj2EVbe8J1JU1hzRdv0aHyMI4AGHaMpKVOHYotimElOKzsd6moApf8ABoUppWNMgCX6JTU/weDjsIeU5NV2KySVM885uhoAnNYs5Zzc0nKpEQrO2aiA12nSAbDWDfXd8zMXAaGRSQb9YQpjq0BUWHSuzbzeenfqioD9FTfun0bWTNZkhfS9fQiU0hPbIL0hfFoAgBYlmYT43svpznIuZ92kQl0KILhe9LOqvPEzWxOj0s9v3ae+bp98ditISPVPumaW4WSjpBkOZLEbGYZ6buRJx1p+r8wSyrdAQABA9bqAGRGvihtIuIT5/OOAh89kTpe1VG89h6RwJhRAN9KluZxXrhqmOgJ6f4zLQHn9dXSOun+24BN0r7v4/bbb8f8+fOx5557JtZ99atfxU9/+tOG/Cib4zgI6uplt9lmG7zxxhufO7H+b9miRYtw2WWX4be//S1OP/10nHTSSbjtttsSbf70pz81/J40aZL0d8WKFbBtOwF++0fZNttsg1deeeXvGq8MhXfrr0VqqaWWWl8s5e7uvw3YJP3AAw+gvb0dxxxzDFpaWhLr/vM//xM/+clPPnWSHjNmDB577DFMmTIF2WwWbW1tOOecc7Dffvth1KhR+NrXvgbTNPGXv/wFL7/88meiuD/NyuUyVqxYkVjGx+rq6sIRRxyBk046CXvvvTc23HBDbLfddthvv/0kBwwAzzzzDC677DIccMABeOSRR/CrX/0K//3fyuPYfffdsdNOO+GAAw7ApZdeiokTJ+Kjjz7Cgw8+iAMOOKDXYfn+2ty5c7Hjjjvi29/+NmbPno1isYjXXnsNjzzySAMK/dNsvfXWQz6fx0MPPYQNNtgAuVyu4Vp+phmGUGvGy2ECyl0K6UZHt+Sng4A8PeZYtu0GHWn2Wu1sVkq2nJYmOSaQzLWyZ6j5tXXeOl6CBCBBQCLUonaSljTTXJT8tnif8Rw4gCAIpXSLjXPaTlubnFPQ1UZ9o/5GISK3hY6b9JgMJ6PzzFyKRecU1zRmYpigTF6UHaNFFUIY5rBmT8sDU30yUYmUWfk6qhDn+gYA7/7n6OwMzWFdSFJ/mtksrDBKLEt41tSX1oxa5xE9aN7yJU9dbx01Axm4iWWco7abmPQjgFWgUr46XINhWbr0i1XWYsQnwhPPpWNxoBZFbUzSsw795PYwDYmMBHU56SgKNQ7BSj5+o8AXz1lKC2PeOueg2VsOYzlwacN4BvayKQoDy4ZDClY+edBWqH43mWV0yump42cj1aZm5OBEfM0MGGE/yUwQ0ae3bVNjGzB0909+8hMBh9XbV7/6Vbz44ov485//vM5t58+fj0ceeQSjRo3C1ltvDQCYPn06HnjgATzyyCPYfvvtseOOO2LBggUYPXp0v/p34403YsSIEYnPoYceCgD4r//6LxSLRVx88cUAgE033RSXXnopvvWtb2HZsmWyj+9+97tYsmQJtt56a1xwwQWYP38+pk+fDkCFqR588EHssssu+MY3voEJEybgkEMOwfvvvy/544G0LbbYAk8++STeeustfOUrX8HWW2+Ns88+GyNGjOj1Pmzbxo9+9CNcf/31GDlyJGbMmDGAPU4ttdS+qMbh7t5+UtNmRFEKpeuPjRkzBnPmzEnUM6emrLOzEy0tLfjqKb9GhkkdgkbgiEVeYPWT1ZoIgvOZMY/P62T6QyIcadIiHPWKS5yTZopHK5fVaF9P57kBJayghTxITCJWlhQXiFBtdA49nnOOm84He3Kc3NDBcp58fD4e60kLYtiyEfWsVefQpl7mGOlrZAsyhi1UaeC2a71uAHBXfAR70JBE/3lMMoM1SU49KUoUhBKFEEIWGlsrl22ga+Vr95UT/wPHDTFw+oIn8O6Hqt/110SphjHCPqkqFbmueH0jX/sVAKASquPnTR9teTXONZ8iJORWdNYsuFESicy2evtZdJJGjOqTvGbmCbAsXUFQJ9ISVqtCx2mwaEaHugZWU4vGSJCIhsYJaHyHv/wD9SWso7nNN2kdaf5/YHGV5sFyHwhWgfZtNg+WPDnntEWZi/PQlR6tS86qaqSmBcNE21v/AwDotlX0puATrSkCVA21bzsi2teYbjSjvwNY8AIfv3rrCXR0dPQKo8PPggMn7AHHWjexVL15gYd733yk18f4ots/nbs7tS+ujd2wDfnmVgCAX6lJKNjKU7iOgGB+m6OVnmJAF0BxYEeD6kBpzFOdzQrDGAN8grJNvxXwJgoDUTmqZ9uSSSS2Ty7D8To64TQTeIce3sy9bdgWoiCpIlUPHPO7e2Q7u0jb2+qFJejpBv/rhRniWOZJ0LJhVGgSyFNIml5KokITDEf1uTRcbec3JeU7/aF5DWDi0rNO9aDObzhSgG6chuBX9KCnDKeFlJ6IW92wSe3JNOF3M781h/DVtaw9tAT4+nbY/uhdkfnNi4ntGcxm5bK6L5Vk+ZDfXRYOdzNSUbN8Rj2YrcBFRKFZfVS1nyYji4DATiaHYylcP2SbjaXfFuMqOMzO94BlykufMIgRxjAKQ81uJ0bgV8OIARBZgpTSL3Sd/O4ygnEULeMBjpXFhVUNIlPLmLHM1u38ZHg+CgORIGUudr+zPdlFw4TpZOqWcV9rsLLbAAAGlVQ5pVlWfA0Zvxs1GnMufzJIzjKwc7C9snyveTXgrSfQV0uBY/23dJJObcDs7KO3S9+E/03sq20GvnrU1n/nXvpWlplaX+1rn9/kc6yzsxMLf31Zn7dTrAO9naRTi1s6SffT3n///X92F/7l7YLbliCbJQ+35opXE9YRgQDQHNr0f8zEGKHnIaoxWUQSQIYw0iwXDEwiFSHW/42CUDwd9thC8lKcppJ48xw6ZNawKAzFu+d+V1cpz8N0HISs+CT840xOor119hbtZoXLCMrkkXSu1YO0mjAOPu0vUwLIc4FDZTQ14vfONouqUWGHXdW5sD4ye9KdXaJ3zMcLKZzqDBoiQDkue+Jogt9d1hEOAtFJ+Dub1ZzbHDGg8R4xpID/OmJ7LPzt6zB3mggAWPbbFxJjE/oBwOFuN5lyiHwNlqoueVIty7eqw1fWwiBwU2Rx+JbSEVGIiErUUO2m4ymPuGn7HWVM+L7ieyCuaCZ861y+R30zbRMhgeYsLrWjMH2c3xsxnW9Ae+Tx8+PrI246NFDN5FIquq9N29ba47zM0REbPhedjiCO9Jhil0RI/LqKDMNA7Y0X1dc8gdi49KvajcjJrfOcYFkAc8kbNmpufYShd5Z60v23dJJObcBs6cc9cDIsUViVPOZnTtKhbg+oXKtMRMz6xA+udU3S9MCyW/RkUC+CwQ/qTFukc9L0UsA56fjkzv2urFDhRTOTQdDDOUNmu6JJgJG7YSgTtjNI9c3vJjEMYrMCAHz8N7W9S3nGXAsMV7WLKBRuVtRxw3ybTNJNG6o8PaPbeVLw2tfCbiYUb5dqwzW6mbINu+Qlz5cmba+jS5Dq9ZKTVj4n7QU7wLlT+rt8TQUWvZ988HFPYmxCz4/lpDnczXKSntwHlTeWqmVFwhX0rIYRUHubJh96cUEUIiL5SpaDBE3kraO65RgNkzTX4YdaAKV+0jMdS5jnLGrDNfIJlHc9jmIdjHR8fRKTNL8gxShEuR8ySdfvM5bXFznUcqPUpqQ66jEThoHKm+qF0Cip9pxTN8odiDI0ruuapF06B9OG59eJe/TSUsax/ls6Sac2YBa6HswiU3laQl7CD5DcMAVkqq3u1KVAfozgBMoTYW8vCig/x5O8o8uzpI3kPomowXZgNydz0lo5K5AJgkuZ2Ev31rbDaVU5ZL+SJOlIlLzwvkDrePKplKW0iPsiYCTb0WVg9HCMGODj5BJlNwAQmXTeli2hwE+jIzUyukxLcu9EbBFUKjIRxydnQI1zyOQjdWpWdKDE+UqZFUU5gkoNH9z6NABgo1lfBgC8d+ci6Ud9iZrfrTW+BZDnkZJXqCIPltsFk15KTHetOo5JxDCZEsBiUtTGqqlyJ55s/e6eBvUuftkwMxmJGPBfDY7LShQi8jN16yATrlYES4IPDdOEt1Z1zlut2Psy66mqCsOxNaFLTPeaf2vyEVoneXP9qGZsRCj/K7rkzfe6Eu0DVoVzHFjdn6hlfBouTe5uj4be0XU2q+rFJ8wUYQQaRGYGybK33pqBUPAEvWmbmrZ/iJ50aqmlllpq/87Wl/KrvnvS1113HcaOHYtcLodtt90Wf/jDHz6z/bXXXovJkycjn89j4sSJuP322xPrPc/D+eefj3HjxiGXy2HLLbfEQw89lGjj+z7OOussjB07Fvl8HhtttBHOP//8BGPjrFmztAAKfXbcccc+nVvqSac2YGZmHPG0gDgCWt127loS33AsTWtZR1dp5rLaEyWTfGqphJDWhXXr7CaVdwtdF277WrWMUN4cQjRsuzEsyN5n1hFxECYH0Z6TFsgwQjon9mxpN1ZTCwLSihZKSsqTh9UKCDwLo8b5VPKWTR9mRXkxUZbK17h0JcZ/3CDowWmC7i4YTS10DlQ+VNZlaRLe70mOqRkvVXOZEIPK0nJZEcsQ2lQhKmnSx6cxYA967NeVRvw7t/wBUUAYg5ou6wIoDUJRk5qdrxsLR66rb9E1iJU0RVlC31fWqn0VFQe+YBAyumpAKEojfR4SvREha+3hcqQAdWQm8fsl/JSwbBQEEtlhD1rWeT6sYt2+g1j+uY7MhIlTwpgQiZQGkictAiGG2UDOY5WI5Mc0NKaDKWhp/EJAV1VQbjrk35Ydy0mbiIxkWWJvzTQimEbvJt/etmO76667MGfOHFx33XWYMmUKrr/+euy999549dVXExTIbAsXLsQZZ5yBG2+8Edtvvz0WL16M2bNno62tDfvvrzTUzzrrLNx555248cYbMWnSJDz88MM48MADsWjRIuHuuPTSS/HjH/8Yt912GzbddFM8//zzOProo9HS0oL/+q//kuPttddeuOWWW+R3JlOHwP8cSyfp1FJLLbXUBtQGEji2YMECHHPMMTj22GMBAFdeeSUefvhhLFy4EJdccklD+zvuuAPHHXccZs6cCUApKv7pT3/CpZdeKpP0HXfcgTPPPBP77LMPAOD444/Hww8/jPnz5+POO+8EAPzxj3/EjBkzsO++is9+zJgx+PnPf47nn38+cbxsNvuZKoKfZ+kkndrAmWEg06re1mvtneLNeJ3Ks7MLytvwusoxUg31tu80cc6zFqOwTL7Fm46NiIAy7Jm51TrUNbTnrPOiSXGKhu9QwDH28Iw6cBocQ9DgQjZhUO6T2Db8Li37KHXWnB+M0UFyTpo9GWTziGqUX8+R90j5WxRaEFXV2FlZ9mjZQ6T68FKT1OuKd02etF0qNiCEdX6+ERCVaWtVx/B8XV/MiGihWNW10CERq/Cyd25RIcdxR38Fb9/0hFrFnnjMI5UISx3ZRVAYDINQ74ZHwC2TohlOTCiDxzDD90JGnyPnf+s8YiuXaaybZ5BYjw87X0e8wV5sLtsA7hJK1jgQjPEPLPARu4cZdMiUpfX557ixR1x/7wMKbwHo3LRhWUIWU3/eQGOul6M4Rugj4nHmdQRkRKYIs6by3JGThxH2Nyfd90madenZ1iXk47oulixZ0qBSuOeee2LRokXr3H+tVkuIMgFAPp/H4sWL4XkeHMf51DZPP/20/P7yl7+MH//4x3jzzTcxYcIEvPTSS3j66adFCZHtiSeewHrrrYfW1lbsuuuuuOiiixKKi59n6SSd2oBZ5HnwehgVGyEixCyHPDkQ7nV0wmlR4WlBFtOD0+8paxYx5iyuMWuVL8hlhCqsF5YJQU37VhzNNLE4jIrVoV5ByjK7VpCVNhIONZMTr5kvaCARo3h50o4Dx5iQhZiiIu534OtwJoF3pASm0iX8yEYn8T4TcCfwarC61LLQS4bpfXrwh5UKwhzzVRNQj1C8oetpcFMdQMnMZuS68CQUsv43AZUA/dC3ZKKyZTlP9Bqgp/b39k1PYONjpwJQ2tRxi6Ol1yVRaBCamMFz4Ek6W9JIZI6Ae1wFoPshLyMcrufffigIbgHDUQmaYRqorW6XcUn0xzQb+NMb9M5rNV16JRsyACyG8qZUUEgTqxVTxBPQHr9U5AsS+maTlwS+9zIZRG5ymbyQWhaCLJVe5YhAh8LYRrVTl7ZJfynsbtnyQhSZdvJ69cH6M0nXy92ee+65mDdvXmLZqlWrEARBA9XysGHDGrQZ2KZPn46bbroJBxxwALbZZhssWbIEN998MzzPw6pVqzBixAhMnz4dCxYswC677IJx48bhsccew/33358QG5o7dy46OjowadIkWJaFIAhw0UUXCb00AOy999742te+htGjR+O9997D2Wefjf/4j//AkiVL1qkcuC5LJ+nUUksttdQG1Az0nqSE23344YcJMqTPmtQMI7n3KIoalrGdffbZWLFiBXbccUdEUYRhw4Zh1qxZuOyyy2DRi9dVV12F2bNnY9KkSTAMA+PGjcPRRx+dyC3fdddduPPOO/Gzn/0Mm266KV588UXMmTMHI0eOxFFHHQUAElIHgM022wzbbbcdRo8ejf/+7/9ep+zyuiydpFMbMAu9IBFe5dIYAanEQp7sQdfXMiOMhH9Z6p2hf3N5EZecmES1GPdKhDTCDxL7SShsxZbF9wfEvGzat5nJwPc0IC6+PZddWShpsgjmdGbgmVvToC6pT6Xj2Q7C2HcAMMmjhu2oWunY8XjcODQf9PQ0eDtmkYldAgHBSdkRl6yVKwJoYqAeg/CMTEarmNWpWfHfoOLK9RXaTPbMM4540BNPVLK1r//oYWobKzBhUBgpghndn4h3bZFXzsAlo+tjqZ0WAJbN9wXdX9UQRtZI9Il9uTAIZDtJR/TQWGaz2hvnMbBZP7ws9ygb08fyPWtmsxJ98NeosieL6HGjIJcgH4mPQVipNJTPsQWVsiwThSuOgjAlbk+P3HOiK83EKZkMrOraxHhJqsLt0mVZXAfNYMdqJ+yqiipEpqPU0vphhhHB6CUgjNs1Nzd/LmPhkCFDYFlWg9e8cuXKTxUyyufzuPnmm3H99dfj448/xogRI3DDDTegqakJQ4Yo3vuhQ4fivvvuQ7VaxerVqzFy5EicfvrpGDt2rOzn1FNPxemnn45DDjkEALD55pvjgw8+wCWXXCKTdL2NGDECo0ePxltvvdWrsQDSEqzUUndIe+UAAHDrSURBVEsttdQG2ExEffr01jKZDLbddls88sgjieWPPPIIdt5558/c1nEcbLDBBrAsC7/4xS+w3377wazjKMjlclh//fXh+z7uvvvuhBJguVxuaG9ZVqIEq95Wr16NDz/8sG9qhL1umVpqfTQr42iGpyDQOTvO17HHxWAXoMGzDd1aQ5kUqwBZLW0I2pWylFkk8YqONYm2hmUJ6InLYjgXaAaBZoYi75FZwQzLkjwvA3S4pCowTdF4lnMtcckXLQ9DrV5FXo2IaISh5M45xyzRhZjuNnuKnJM2Oj+BReVG4rXF9K9VH7sEmMYMbSEBxxAEMhZSThbLbYt3zCVvMdYpI5NsL0AsVoSK5dmZqITBfHGQGHvQk05Wkq6vLfhvfb4ZAspxGVChTVjEQpexB7Qv09YEMHWRBwYmmhlHe/d17HGh78sYMNDML6trF7iezjPXEZY4zaVYxICwCnXlbFYuo6MS3VkZQ3VuNuCvu4zJsB3RVfcZh8HgMLcmeWK5LnVUtGGlR+uSxxnDoP7HBIdATHYGC2dkmzWBTY6khfk+DFz4ORW9iawMfL+/wLG+h7t7a6eccgqOOOIIbLfddthpp51www03YOnSpfjWt74FADjjjDOwbNkyqYV+8803sXjxYuywww5ob2/HggUL8Ne//hW33Xab7PPZZ5/FsmXLsNVWW2HZsmWYN28ewjDEaaedJm32339/XHTRRdhwww2x6aab4oUXXsCCBQvwjW98AwDQ3d2NefPm4atf/SpGjBiB999/H9///vcxZMgQHHjggb0+v3SSTi211FJLbUCtP+Hu3trMmTOxevVqnH/++Vi+fDk222wzPPjggxg9ejQAYPny5Vi6dKm0D4IA8+fPxxtvvAHHcTBt2jQsWrQIY8aMkTbVahVnnXUW3n33XZRKJeyzzz6444470NraKm2uvvpqnH322TjhhBOwcuVKjBw5EscddxzOOeccAMqrfvnll3H77bdj7dq1GDFiBKZNm4a77roLTU1NvT6/dJJObcAs9H1kyMPkfB8A+F0kL1nSuVI2+c7kJpYt+TXhKM5TvjkMdXv2MqzkLR3WqrBbWpP7jHmrDShaymW7Kz6S40Q2oXDZ+20ZhNBjEhLyplaRR0xSgVH3WhgZKrEh71r0hwMfZimZa2MPxvDKMKncKCQks0UeT2RnYUTkQXNOmrZnFLJVLGnKz7Vrabwo721ZkmuP4ih0ICEOIREPRs67rkg9mlTyJiU+lPP0u8sSNREu7EosQsKIaBov9qAnn7IvXrviwcRYsCayWekQpLsVk0sEFI+5wV6dQd48b0+eZeD7UioWVEmzOU4PSvdBUIfENixLR2+EJpYIZmKlah5TzzrJcq3QNRrHl+5Lo1hsWBZS36xSE2of/Y12QpEKvtdNU9pJlQNFlCRy4nkSahWNabr3EvcbU39SCZbtl+FlWxLnIHlrw4TFXPIwEfYzJ22i97nV/uRgTzjhBJxwwgnrXHfrrbcmfk+ePBkvvPDCZ+5v1113xauvvvqZbZqamnDllVc2lFyx5fN5PPzww5+5j95YOkmnNqDGZVeIQhg06cgDqC60DcRYrngygJ6cpQ0/rHJ5PbnUsz+JnFaoQ7QMHgp0fayEE2kzAafli1rLN6b1zNtLn00uZaJHC0/Eli0POu4vaFKJfBdhRe3LZkAUC2xYjmj58mStzynUOr8MyopzSkNNhlx6JWpYsRA+pxoEKMeguiCQFx0pceN9m74OlYoaFpcf0eRt2zGd5ST/er3Wdtxeu+JBTP6OIox4bsmfVPsCpQ7CQJexMciLx9DOwGglYBCXEtE+Rekr0AxtXMNsOnTepiGTNNfrC7ARQGgxu5f6mxk8SHeaXwjrOLzlPKNIljnDRtD4ONKGAYhyr7FOtGPr6xHj8wbUyxG3E3CY2ZTcT74gE7YpfN76egcOTfj8clJStbphtUNK20JWIGOWsdCHn6NlgScvjn21gfSkv+iWTtKppZZaaqkNqBmGfrfpTdvUtKWTdGoDZt2P3osagZ8y5VUCihoBpQzkhuqtPG/5qNF32wgT61qzHiz6p8056g27QGU1NQ8Y1KT2uXqZ8jiGDVLbVT4itq0wwuq31fYuO8S0vzU1p4EnOIjU/lozLlYT8xf36SuTVNuu1SFaW9Rxshk6fkV5N80lCmFGEQp51WblKuUVDR2svLmWNgeeq/a5xUxV8uFWSI0qiNA0mNjTKqrDpcHKK+pc2Y1cSXmJJ59zjRqTKKnvu0lLBWXXSIxXU1797qpE6K4ln4BWzCnsrNGY5yhUS0NT8w1kbfVjVTUj4wMAgzeeDOBQmIt/g8oHBOgjNSvh4ra06heXWTFIDNAe9PZ3ng8AeHPhowA0ACxu8RK97GDS6WYlLiKpqdx/EwDALw2H3a1KcyLSmg5jxBxGfekWsW6F2RKsDcar7z0U6uUQfKGpATTIoWRebuTyWnmMgI32kPWojz0CQORyQbao3C3lerIvClt7yz5ARFrOZhMBuYh9DnaMcIV5uX01NlE8sjNmSxpDOgaXEUahHNfmdFFMspL1yKMgQORVgRfRZ+sLarsv6O5/B0sn6dRSSy211AbW+uBJ9xne/QW3dJJObcAsLAxCSJ60C136saY96f31+KFQAYYGgY6YC7u2BhH91zo15fkUySX2AwMdFbWsy1Pta5Sv63aJjAEGOjzOO6tljqG27zSaEYHAWZHyODxSW+pxe2ASLKtK/yYfrVQlVV3VCB096rgl8lK7K+RprqWcugm0NqntV7bT8Qg8N7IaoEbn0vqq8qpsR/XNc0NUu5U3VC2r7Sqd6pzWflKDTbSS1ZxSfPIIwMa57dXlGnp8IkGpqmMMJbDPqoqDSkjANhrTrKGBQOWItJoJA8BtgshA4BHhB42FR153KVJ/a5lmhEUCdZEetJRGxY2JSqjMKqqVJQfNHvSE43cHoMBlorpVR4NqlwqI/GQZmHDDt42hRg68fB2Klr1O39X+Gi1jz9Qotek8MYO7KmrfVlOLHE/ISLh8icbNbmnVqmhuMm9sZHMafEcmKmm5bIPGtIQzBg9DQLS0BtPM1nnb6jicdzYS64xMVnAaAiZjb7+rQ0q3TMIxcFmkWSxKnjysVmCa/fNyTSNBp/+5bVPTlk7SqaWWWmqpDagNZJ30F93SSTq1ATOz0g6TyCjsajsC8uiKoBIU8mVMM0IYqX9Ni/K/tVDdmkOLHtxArStm6nOsIXLkWeYpL9lapP2UydPNGQjXUs4yJI+cvAGfy6hi5hB6uGTW0BORpxSp7Ueup/rU0RXAotf9Qo4QwpY6nmMzDaX+PoyAwW0tavvmFgcue9JDKefIUYJmB6VBhES2KO87qiBtcpTzzlZVrjMbUb6QHm0ZK0JAZUvNWbXPppxa5wY+bC85vgWLxiYyUCMvLmOGtC/1t+pbyFK7bl9tl7fUMbIUlbACF2aP6pPlkmoS5YGDwmAZX6Nb0WSGBZVXNSsdCsUNnYOOl2e9cun9qh0LoVQ08jw0kyVUjC7nfkR2Vrx5q6yWBVnWV7YR5aksqUweKiOafRc+ldJxjpeR+b7naYKTNYS+ZwQ55Ypry/+m6WoZSU3kJGGlrOlImS6WKwSqFSHlkQoEroRwa4i6FFGPFIFx9cBaNaZGoRlhRZ2nkScKWyrhCsvdsi+Dzo0986jcKaV8jBzn40e1aqIvkuPuow2knvQX3dJJOrUBM9OrwqAQmxNUhXeZJwY3VA+nrBXCD3VoFdBgLdMAmkmgx6QQXqlA5TFGhCJN2GZ3mFjHj7LmooVyjcLHHk1kBIKqBD5seiDwg4EBbDk7gEOgLO5bPqcequVKiEGtVEJF0pRZmhClXNsyUCyqfa34WE0iGQKZNTU7qFbVY7FtBNU00+8wiNA0RD1EeUIutKjjDt4gj0yBZCQj9cDmF52SpY7Rmgf8QC3L0zxToEnaCyIZlxJYDUu1CaIIlqFenkqZ5EOymPHRQ2C0rKn6yUCy5qwaWzuowAioHIteEqSsza9qTmgGkNHLmxH6eiIk4wn5lUvvx6ZzZ8h3QAPHEEVSe83tZXsCgAWWI6xaeiXVKwcuUKXSNDcJUIusTIxtjcrumD0uW5CJTGryQ+b5pjByJquX0XlbTVQH7zhaoaoepOVkZBLkiTQKuWzPS5QVqmV1E6bvav5z7neoXwh0KSGF3vniZwtSOmgQCM4wtCoW/w+HPV3or6Xo7v5bOkmnllpqqaU2oJbmpPtv6SSd2oCZGVRhUSAtNEzYATFp0atynsKpQaS8afWdADfkceUcA1XSAi5meR3ob4SAQuH89p3LKq+kk4BdlVoooelAtlN//ciCRWxVHG7n0i8nCMW75j6x2bYB143ou1rm+UlS/bxloaeHiEfIgakQyM33Q4TUmVoPgZCoj24lgE0ed7lDeVwOlXLVypq4JCDAW84gD4iW1/wIRLONCjlaTYRTcv0IEZ1LJdDhcUCNX5evvLfhzcr76yAntOobn/rg5FQEoLnGTXetOk8CMRleRfSgWc2KubgtryxEJWzCS55xxINel0fN5CH16ltxYhv24JkEhr19BJ6MWZhXXq7dSeVaoY8wUEQpUS1J3oJaWbxx8WQ5fM3jYFkazFWv+BaGOqRMHrSUXQW+LssSIhkzsR/VJ7owHIHgtk4OBkcKuL/Csa7Z+bTGNLfVJCoMhhNWNMOUPhiZLAyjn3rSqSfdb0sn6dRSSy211AbUUk+6/5ZO0qkNmIVmFpyZNKNAypsc8VBVO8vQ3irnf9njK7u+gMOYNrlaIx1c00BAJSrsTLCHy7/tnIGA8nI+U3dSPtU2AvhRkrKSy7QsM4JH7aUUKYgSf+PfK1zuRIQlQRDBoX6zU8O/ozC5j7jZWROBT8ehCEJAXrrlGJKT5gjFukA2kmem8co4OtrAFT1NlEOvUJ4+Z2msAEcuPLoWpqG/h/VRBXb0ECJyqKTHpPIlJi4xLaGdZFwCq1kFdk6oPut1moNKVZbVe9Sv/vC3kotmFStRrgJTiMZIR+q8dTNwJWduVjshAwQiPKkDg4XtMbUy9kBZkYvOm+lJYZiab545w8lDjdxag/a45IjjZVKBr5eB+MSpf2ZBgcvCjlXJ/USaBpU9b+Eqr5RFqS0gDvoEBzhvx6VnDGqLIk1rG/j9Bo6lnnT/LZ2kU0sttdRSG1BLPen+WzpJpzZwZhgILSLIiCLJC5JThm4i3ciZAVwixciayoPwIvZoVe4ZUIhpQJc2rekKMbRVteuqMpqb0OR0Z1dqoVBhWlR65QWco9ZeNJd+meRfRRFQjdGWArqEKwgU7WfcWprUAbspx6xy47o9AJicGw8jyUlXqT17zQCQK5KAAp1vGFvnE52oS+jbTMTIaJ2vZiKXQQW1bHWnRspzhKKLxiRvM32qzsdXqEyL9SIcU1Oq8nXpoO27XSI5MbIAEcL4mTq6SyePKEuiEqyfTbnTMN8mutDsCdsl5ZlGQSCeJXvUr/7wtwCATb63P9664fdqOxbDotBBQMeP7JxWxmIBEzpukGvR+WoqDWTKUBimJj2JibEAgJEvauS3Q+VS7C2Th2tmspLTDXtUmZPVpsrQDNvRRCN2EpVuGKYu7+KoD908kVsT0hdRZ+N13Qp5HleAEwISojU1c3nBeTiDSVgjJlwj+2RtajonZ9AQIV/x29cAYf+mDBN9mKT7dYQvrqWTdGoDZkGuFWaG6kW7PkJIXM4dlbUAABfqQViJLJg02VQCCsER89jqcgcKDj1cqPLFpDreigus7qAHM02g7V3qdydF6IrZCFWfJhIp76IQdZRFQMexQ5JcNGjC8E0BZ7mBWraWkFRVV4dOaxR67ySQWDGvHjGVaiggtvYu5sKmFwjHkHA3z/UmvXiEfiThbububv9InUzXaheFZicxPj2RGt9MqCacmqcnaw5l2/Ry0uMaqNDD36eXompMerEbNLmShCGXd7mRLSxtzEqWoRIunrQDK4eomZjGKHrME7M6QUodELiMJ2bDd0XNirm4mUksNE1dQkRvDBzifuuG32P8N6cBAN699WnVhyorZBGbWaEFRo+awCLm7I71KaJ7ExliQeO2xTY48UkVgE/9F5lUxBi/uGyJa6sNA06bCpMbFD52mtUEHtiOqIwxqxnLjPo9PaKWFVfG4vHTIXAaOwpXm0NGqjaWpVWweN8xNjJexmY1N8u+eR0riIWeVuoyKEfiDBkKuHUlbb20NNzdf0sn6dRSSy211AbUjD6Eu9NJOmnpJJ3agJnpdmlSBUPfaqJ0RV5kPuoRr5UBUR6F5gpOKOEvBj1xtNG2InBImT1S/gcvZjW4jMPcYZAEP2XgwuNQOh+XmbsMHzVqx33LUglYT1VXxrBxCN7mv6Yh3zP0N0v83LZtwvcpVBly35gFLZJlXk21YXKTpDdC3g2FmLn/1cCQEG/NV43byGE0AVgURfDrxssxQmSpRI71fHmdjVCTzKCOeIRZ4yIXKGsNYgAwKGISZQo6Gs8AJeb1NnwBXLGaFYdcg2pNM42RlywgMVd70BvN+jIA4PUfPZw8frlDl0fRsojXBT4iBoAR4xhvB98TYhK4Sd3usFrRPNzkpbKHG1ZIBazULAxj7G0zK1pQKWswFx/DZGCfvqmEGEUWhBJWj7hki45nMEuZW0OEmrRXY0mpE2JAi59L5Pp6O5vVxegaxLjSuX3Q2QG/XuO8l5Z60v23dJJOLbXUUkttQM02dSVAb9qmpi2dpFMbWCP6RzP04FM+ksue2CvzYUuZE3uEUcxDDsXbU3857RqEGtwkICe6ozvKRCGaS3BbqDZEnFIOHTkO++ucGw9gSE6W+8TlXWEYY43Usrtqn0RYks+akoPmCECZwG2Gqb0FcSxZ2NmLhJSDwWShr71t5vj+NMtZEToo78xes8vbw5Cxz1COOaDzLwe2KFyVzGS+2UQoFJKSVzd07hugSAlXFNUUOCwoKqUuZPKARx4p5YvB3iA0CQjrQbP3bMTio/xdyqyCULxr9qAnnTwdALDk0XtU22KbeMmsZQ5W37JC8ZyjHOVfiSYUoS9eLQOwgjVKA91sGawpO6kciQFYZpEAa54nnisvY+/ZzGRj3i3lyZlkxLHlZjHFS2dVrFg5GbfnEiqi6zSLTbocS3LoBMILQwSVZD5ZSsEMQ/eBz5vy3jAN8arNfEHfp3201JPuv6WTdGqppZZaagNqpmEI935v2qamLZ2kUxswK+09EzYRPUS+jzx5SD3LlWqPVVTrQteFlVcejut6iX0sDQKdw6sm84OGY2vd2xxpGVeUN2aVlAcTVCqwS3UlQbS96diwCqoPbploECk319XZLSUrfPxHOxVs2RrbjKBbeV2izTuUSlhcTfbApBH2hkSIQW3Dj7phNbcCAPyHP0r0zciXRO3IyJDX2aHGK2oaDIPKbZoO3FttT16OR3ncd9Z2wmll0go1Nh9Rn8xcFk6zGgtvbRf1ifprGjDJe/q4TtM4XhrE52A3qTxoR5u6ps7O+6C1g3PJtB2FGaxcBlGQRGmz4lXk+4Iortx/k1pHetBmz2oRy5ASKOgyK/HKySNmD3rb31wPAHjvzkUyriZdV6+HSouaCvBJ3zukXLhN/KlB1YXb3om4ZYetJ2MiHiiZjA17+ZYJr508eLo/mVDHyheERIXvXaEMBXQuuZ58JV9AVOP2SYEPI283bB9S7jiqUXSiUILz19+pMcgQqptLsrweeBl1PX0+bpxalaJLRhRJuVpfLfWk+2/pJJ1aaqmlltqAmqkpwHvVNjVt6SSd2oBZ6PpCwRkFIUJKJgtalLzeyPPFi/PJW+VcIMv6JYypE30vQcgAAEHnWvWFXsejIJDjcL6P61SdtjZ4HZ3SBwAxMolAULeChhWt3UBTJXKXyBsSpG+5WwsnsHfDffVdBB3kLXd+Qv1lIQYXZhdpLlNNr01ayL6dAUggQo9hNfE78j1BEuvh4ly4Ca8zqaEttbewY/lP7UEDAExDxoxznhGh00F15YZpyvZ+t/KSObdsOrZ4mVE1KS8Z+L542X5puNonj5udRWDVEX74OrcdFUj+kfLOYVFFLNiDHvv1nfH+z/+k1sWiJ6q/Row8hfLUXjLPHjceEzOb1ZKPdes4CmNYls5BM6qaEdy2hZDq7a0S1U5z33I5hIQKt0naksc9rFbkfvrU/41YLbXJVRWx+9m3SVuaNLVZbCTy9b0cZlQbu6IiNqGVQUTTRGhZCIz+zaAp41j/LZ2kUxs4MwxY+WziN6DCrgBg0V+vs0uAQRy2lskyHloMmQAkFobmfTLQRoglHFluN6kHD09e/EIQP07Db9fVYXEmmOAHbhjBIuIODmdymNHMERjI9/RDlUt2+JwyOdlX4CpwFSsTGaaNqKJC0UazWhcyuUixRcqrZAKkiSYg4hOrUIQdSyMAsfB+Vp+3vFQQOYlhmDBsK9E+PiZmgcL5NPZWgbajsbQyGURBcnIWtaUw0pMjlbFxSNzMZiXsancrFSov30QnaYsedIKHGwQ4I/IRKbPiUiqy93/+J4w5dEcAwHs//aP0BdDlXvG+cHmXUY80RKxUzvXkXGR8Qw7FQ9owCYnfQX1kIFeMZUyAXIF+eZWXPE6NsBqV7ej7no9TY15wuvcrerIVoBy/hDn62rNZNXohjofWKZxtErlPaGUkxWD6NYT9DncbWr+6F21T05ZO0qmlllpqqQ2opZ50/y2dpFMbMLMKOYSuDhEzOIw9LPZALCpFAWJeLgOFLEuXJBEQisN8hmGKx8zG4BqjWJQ23Af2gPi4TnNJE4cQ0Mei0CeiSLx0Kf8h78YqFgTEFpBylOjxGjH6yDqPgLWCw0pZ6BtB3pBoC+ebNGUmAaI47I0wBOrCjeKBk5ceuBUJ4zZYFCnPFYBPOsmSZujuhmXmE+ewLuN1coyQwtauK6AwXW5EYdkoRETlZDyWWgu6In2IzOS1tCjMD0B430Uf2e0Rqk8hKuGxZ2KOIBAPeuzhOwHQBCih60tfEtEekNcnylJ0j1LUJwrDhvHl+1oAjZYO/XNkRfZtWzByOnoB6JC2YZgN7c0SE5W4MAytaAXEPGgOe8e2Z0BjFHvEm0QdW6/fHRmmeM4BlUzy39DOwXJVZMfPtsIPXPTLzIZb9zPbpqYtnaRTSy211FIbUEs96f5bOkmnNmAWlKswM+o/zu/RHp63WnlIkpft7oTdNgiALksRFZ9qVbyZoLszsV3k+3oZCQQEaxSRBgsbIAgkbyoav926/Eg80DKVBJGX4a9ZLfvgvvirFaFFWKtqisaq2o5JMkQ1KfQFMMaaxOLddLcjyiqPx+pcrpax8ESlE1aN+kd0mU6POq7vlmFXFOCMS5iCHuVVCZCs3N3gCXNedF1gOJHosiwdHSgnwWWGZQtQjj01BkmF5ORHni8Ri7BG+WMG+IWhjmLQPq2s1kk2HfIQWYWKIglBtknoQ406Dy4ybRHLiETXWV0DLrMyY+Qg9RSib9/0RINHzJ6/11NJRIAAnX+2cllxCXkMGCjH95KVy+rSNsYhcLlVGCKg68GRFb6H1ThShIPvcd4u8FHPfSsCHxSVCasVhKyDzapWRB0aeb5EKlhYJGAVMLcbIUcxaPvAUdtbbpdsZ3k9aU76n2DpJJ1aaqmlltqAWipV2X9LJ+nUBswMy0wgm9mbYi+BEbBWc4vOSzNS1tG3JnuGUi7EJA62DYu8EfaAzZbByT7kcg0EEewZ28WCeFMiDSg55YJ4QRatCwtM8WgDTA1JnhaTk7AFnWsFNcsePGcCIycr3mJUV2IUZQqIWMSAc5YW5UytDIKsQq/ncsnji+cWhgh9nbNX58uRhIw8KdlrDikXaViWHkNBsWtiC7ulLdFPydkygtsyJb9vSuSCPLBcRstPcn9Zt7hWk9wwaz3DZ4IVW3vQjDqm30GuRfeF7ouI6F6dJrq/TENQ3CGJSbx90xMAgI2PnSretVFHFu00FeCtJeIaIlpJ5J0jjfSOny97oaHna4ITQlzzmFr5HDLDR+p9IYaCNww95myMCnfyOvrB8p2ck6brbTW3incteApqY9gOIqa+rZLnTvdeaDq6BJDLs0h/O8g2a71tK4+gnzlpow856X5WeX1hLZ2kUxswMxMlUo7Uw5oxXmBAheKkZpofRAzqyeWkJtduaQUQC4lbNpCjiYiOGYbJiRhhqMuxuJSqqBWB6kE/3Ld4KJxLk+IvBxyWlIegsKLRQ7lYQkg121K7yg9Vy9YTUcjhZjoP39XhTA5j0oMz/qSLguTDPB7iljIfdl1cHeLmFw5dD+4nt0EMyBTbT6J+PPZXAthhJJNyWEsyjoWeLzXyqGNxi58Tv9RwSDzKNwNV1ramw/D5+jUJ2/I4MfOYMInFwtn13N/v3vq0hL4ZXGZy6qPqyuQsLxABq0rpCbgeiMjnYWYcGU+jkASHha4nXABWjFdbbW7CLNYx1zFneqUsL40COqxPWRimTvMI8JLrwk0ZV5504y+IwiTGk7DJwDl9n0VWpoEHv7eW0oL239JJOrXUUksttQG1FDjWf0sn6dQGzixTvBM4WieZQ9nsjdlNRQ3gqjIYhjw3z4eZJcALezMxdjDWxGUTYBN7O9mceMLs4fk9ymtwWpp1uJpLbNhTjEIYFH4Vdi05iKm9GQn3JklRzGwOoBC4YSdD2rAzWsGoQGFkDvXmiogq9N2hPvG62H7sUiHZXyaDyRdkfDkqEPf8tAebdImiKBQSFCbZ4GelaTsIyBO0ydNj3eE4C5bpUCi7liT5QBTFypMYXEXgsGoNdoHOUxSyKNJS7pCwa5hX4W0O1RqBp9S1AK10RWpWwsVdymmikvoyK9v81PKsxCzBXj5H9zMZ8Xx1ZEgzqwE6DB7fl4yTaUhEpZ5IR4H3qolFAnb0PbnnBIDI0RxOvfheLFKh2c9UXwNYgdq3Tx40E8RYQRURl3ex3jaTx8QiNIZXaQDw9dbScHf/LR2O1FJLLbXUBtQY3d3bT1/tuuuuw9ixY5HL5bDtttviD3/4w2e2v/baazF58mTk83lMnDgRt99+e2K953k4//zzMW7cOORyOWy55ZZ46KGHEm1838dZZ52FsWPHIp/PY6ONNsL5558vKTcAiKII8+bNw8iRI5HP5zF16lS88sorfTq31JNObcAsrLkwcuR5lT3Jr3lrVBkRKwt5nV0CHKv3uAzHFo8sENUgDdjhXJ/wIHcqr4o9+BA61yl5bkfn7biMhjmw4xrGUnaTryOkMEyE9XSLYdKDCbo6tJdOVKUaiBXKOQjoKb5/ylczOYdBtKBRVIBJBB9S7sSc2PQ3rJQl18nlWVxeZpVK4i2vy+MSzzDH6lI07pWyLonzkqVJcp0MTa8p+eqIgWSOeLKcL/bLmuZTVLNI8YrL2gxPe5V25wrIgaDKtYQWlL0/yl+zmlXkBeKxs7HXC+h7ZJ3lWUKAo8vI2AQPwOV6VILF+AZ16tRmHUDI+ja6lMrSuAWfy9loDIJA55v5XquL0BiZjBCdRCFfC1O297IEtuP7isctCvU63hdhJULbhuVRGZfpwOxnCdZAhrvvuusuzJkzB9dddx2mTJmC66+/HnvvvTdeffVVbLjhhg3tFy5ciDPOOAM33ngjtt9+eyxevBizZ89GW1sb9t9/fwDAWWedhTvvvBM33ngjJk2ahIcffhgHHnggFi1ahK233hoAcOmll+LHP/4xbrvtNmy66aZ4/vnncfTRR6OlpQX/9V//BQC47LLLsGDBAtx6662YMGECLrzwQuyxxx5444030ERKcp87Hn0bjtRSSy211FLrm3G4u7efvtiCBQtwzDHH4Nhjj8XkyZNx5ZVXYtSoUVi4cOE6299xxx047rjjMHPmTGy00UY45JBDcMwxx+DSSy9NtPn+97+PffbZBxtttBGOP/54TJ8+HfPnz5c2f/zjHzFjxgzsu+++GDNmDP7zP/8Te+65J55//nkAyou+8sorceaZZ+Kggw7CZptthttuuw3lchk/+9nPen1+qSed2oCZ6TgJIQNZTp6p9gI9hJI3TXoHoeuKN1JvYUy7WWtMk+cUQyGzByKEH3zcMISZIU+JS7EKmgSF+8nIc6YFRUzxKaysBaC95QQRiEueoaspJdXvKgym/qScK4f4QsOEQWQmTA9qcl7WtIUKs14Eg0VLzGJJe2h1JTtAbMzrlL3CWhWC1w7q8vzZnKCV68u7mLhEEZZwjjWZ3/d7YhScRGISuLr0S/pG5CRGifL0vouI6CmZsEQITwwTUZHb0T0WJvWsAYhYBo9vXE9a2lHf4uVZr1x6f2IM6tHt8WUOedA+7dvKZTXdagdFdvK634IVIKwEE/kYlqV1yj0uq6L7qluT8DDuQioJGN9Q7tHUtXQ/SkmWZYlH7OfpeDxedg4WKWH5hSFqX/FctMsIfg9G2F9Puu/o7s7OOk3vbBbZbBJb4LoulixZgtNPPz2xfM8998SiRYuwLqvVasjlcoll+Xweixcvhud5cBznU9s8/fTT8vvLX/4yfvzjH+PNN9/EhAkT8NJLL+Hpp5/GlVdeCQB47733sGLFCuy5556Jc9h1112xaNEiHHfccb0YjXSSTm0ALfQ8OFQm43u+DjVyCJDjWqapFYV4EpFwYWyC4TKWCkv9NSPsTv4jc9mTwYxLvqfDzWz0ELAK+cRED8TCyG5N2jE4LOohgJJpIlyTDL8GDCDzWP7PBShsG2boJaFC5UTd7cLVnamqkK3NvMrlVciEFKauKKYxK1J9qrldcAIOZyZfXIQtrH21ANYalJQcR8aXLS53yCmD+nFGFMFbs0oNBXND8+Qa0qRbrkqZVVCm61NQ197OO6itZtYzXUusxslHSKVa1gbj1THopcp3MnL9w2AY9YXuBzsDp21w4jz5xcFtT94TQKxEjq6vt7ZTyqzYeN0rl96PTefOAAC89ePH1TnF+N+5tKweOCaguHw2EVZXy3LS1qMacT5+1E0qYMWCTh/UlX5ZQwYLqFJSQ37dtfQ1o5yA2IRjPUJ1vYlq3/QiyxNxEPgaCMklfrH9euEo9cXOwPeqwKv3oc9m6H+n3rQFgFGjRiUWn3vuuZg3b15i2apVqxAEAYYNG5ZYPmzYMKxYsWKdu58+fTpuuukmHHDAAdhmm22wZMkS3HzzzfA8D6tWrcKIESMwffp0LFiwALvssgvGjRuHxx57DPfff7/IigLA3Llz0dHRgUmTJsGyLARBgIsuugiHHnooAMjx19W3Dz74oJeDkU7SqaWWWmqpDbCZpi6E6E1bAPjwww/R3KxfsOu96LjVg82iKPpUANrZZ5+NFStWYMcdd0QURRg2bBhmzZqFyy67DBa9JF111VWYPXs2Jk2aBMMwMG7cOBx99NG45ZZbZD933XUX7rzzTvzsZz/DpptuihdffBFz5szByJEjcdRRR/Wrb+uydJJObeDMMBJv9kL+wJq59JbPZT1AY7lTUKtK6JqBMnH2K6upVX0RFSniHC5SOU61Aou0kIVti7zn0PM0eYlH3hj10WkdpEO7UkZG4S/LEkAcGHhVR0BihL4mj+BQKZ+jndEeC3viBnljCOS7b1IIm8fLtBGF5K05DHijYzDhSiYrodWobtxgGBIW5zFgJiwBKAGa6zzOFkfrrDpdaSOmzW2x6pWfZOACIFrWfFwZU1t7pmEPRRqErMOX8Y1YtYt40BH4+rzYk65LlSSMecQZzFfI60gOk5A42n9kD3r8t/4j8TsMAn09BdDoJs43CkLtNkZ1UaMYWFHGJqPL0fh/xO8ibW7WADdM2CVSdqPj+zyWzEqWdXSZI187jriYEYx8KTkmPM5rPwF4XHkZpWpgZ/R1tGwg7N+U0R/u7ubm5sQkvS4bMmQILMtq8JpXrlzZ4MGy5fN53Hzzzbj++uvx8ccfY8SIEbjhhhvQ1NSEIUNUuH/o0KG47777UK1WsXr1aowcORKnn346xo4dK/s59dRTcfrpp+OQQw4BAGy++eb44IMPcMkll+Coo47C8OHDASiPesSIEb3q27osBY6lllpqqaU2oGYYffv01jKZDLbddls88sgjieWPPPIIdt5558/c1nEcbLDBBrAsC7/4xS+w3377waxz93O5HNZff334vo+7774bM2bMkHXlcrmhvWVZUoI1duxYDB8+PNE313Xx5JNPfm7f4pZ60qkNmJmWldDYleWsp2uypnA1QV4CaI828jwBxoinElfKkhxe8p+F85SR72kvkb037pNhasAYeSyiXe17Cd7x+F8EgeYR5wOSqhUEXGbHPCs6HnkyUa2i1ZGIRMKM1Ha+lYdJeWc28bKjSLxrhlsxqC3BpV2Xr2ZwGExTa3l7yRKfyPNglSj60E0UreyhZrINYDIGwQXd2lv2y0lqVylbioOQbCaIIUW0tR3IDB5E46LOO6yQR+y7iLqozIpzyu0fUwci+HwuDAhco3L4XNoXuq7WLK+LIFj5nOR7mahE6DktS3LQ9R71a1c8qO8RKtvTOulqR15Hly4V43HmnHbWjJWoJR+/hmlo/nOOPDBmIIYdEE+agFU2eZuKrlZdM6/CIDZSh6tWgU9UHpTpVI0ilV2FPqK1pB7XPFS1YdracpemCi20IPKTZCu9NdM0YPaytqq37dhOOeUUHHHEEdhuu+2w00474YYbbsDSpUvxrW99CwBwxhlnYNmyZVIL/eabb2Lx4sXYYYcd0N7ejgULFuCvf/0rbrvtNtnns88+i2XLlmGrrbbCsmXLMG/ePIRhiNNOO03a7L///rjooouw4YYbYtNNN8ULL7yABQsW4Bvf+AYAFRGYM2cOLr74YowfPx7jx4/HxRdfjEKhgMMOO6zX5/eFnqTff/99jB07Fi+88AK22mqrdba59dZbMWfOHKxdu/Yf2rd/ts2aNQtr167Ffffd98/uSmqppfYFNwO995D7SmUyc+ZMrF69Gueffz6WL1+OzTbbDA8++CBGjx4NAFi+fDmWLl0q7YMgwPz58/HGG2/AcRxMmzYNixYtwpgxY6RNtVrFWWedhXfffRelUgn77LMP7rjjDrS2tkqbq6++GmeffTZOOOEErFy5EiNHjsRxxx2Hc845R9qcdtppqFQqOOGEE9De3o4ddtgBv/vd73pdIw38AyfpWbNmyZuKbdsYNWoUDjroIJx33nkoxnKSn2ZPPPEEpk2bhvb29sRA/b02c+ZM7LPPPv9r+/t7bMyYMZgzZw7mzJkjy/4vv0SEQaBLdTwfBiN767y/KJbnkxwx54NNU+vt1rH7h25NeaUADPJk+TebYTsNTwdBhxeKklsNSJ+Zc6xRou+EkiZ0t9U6FAYjtsn7Y49PPFW3qqk+2SjPZ7hlKa+yAto3e9ShJ2huVpPIReoY5dCAFSY9M/aUxGOrlBGRWlc96UXkughEGYu81ZqOSgQ9lAflEjkjnkcl6stssiyFc/8wjAThB6C9ZSOXlXHxiWDFaaaoQkwoxCyoB5fVpDw83/NgZIl8hcZZiDjyRdFMllKkFkZ7U/46m9W60NS3OP0r98+M5dV5naCjyet97YoHAQCTv7OPlGrxOTC2gu8Xp6kkKl9+J5VUhcmceHw7RuZbhZzORVM/eZ9WIddAnWuXkg/6yPflfmbSGqZINW0HGKzQ0lztIOh9uwIjT/sSchu6rk7septmn0LRcRtITxoATjjhBJxwwgnrXHfrrbcmfk+ePBkvvPDCZ+5v1113xauvvvqZbZqamnDllVdKydW6zDAMzJs3rwGV3hf7h3rSe+21F2655RZ4noc//OEPOPbYY9HT0/OpRef/CMvn88jXMUql9r9jYc0DWHAqNsHyJBAPvXJJTxjUl0TVNCisTrLSzGRF5F72xcfg2lG31shjTBNNUKtqtSKehDJJgFP8eAJosiz9MLPrQFL8Owwb/rt4Qjdi7TnczaxooekI2CcwCMRGFcwRLPgUUrU4xCuKYKzYpcFTEqLm/tu2Zr7isCorMXkeLFZgkpRDDIgVCwWrfSVVtIwE33UdmjWMZJLkyS9eyyyqX5KiiHGzS6iex577ryd3zU6X5CpPTLZcisSh9yiKAcCSXNxqH2ZiX0aslnrjY6fKdyD2wtRMALBKrYGnnrc3TKPhZTOKAeysApdqqX25LHUZOJIqsIvq/4frsmXyrlQ0Ox7/X9j88utoEJ5wCjhy/maxKTkW/LJr2XL/9ItphKw/6O7UlP1DhyObzWL48OEYNWoUDjvsMBx++OESbr3zzjux3XbboampCcOHD8dhhx2GlStVjun999/HtGnTAABtbW0wDAOzZs0CAIRhiEsvvRQbb7wxstksNtxwQ1x00UWJ47777ruYNm0aCoUCttxyS/zxj3+UdbfeemvCM583bx622mor3HHHHRgzZgxaWlpwyCGHoKurS9p0dXXh8MMPR7FYxIgRI3DFFVdg6tSpCQ+43t555x3MmDEDw4YNQ6lUwvbbb49HH31U1k+dOhUffPABvvOd7wgS8oknnsDRRx+Njo4OWcZvZJ81XmyvvPIK9t13XzQ3N6OpqQlf+cpX8M4776yzf0uWLMF6660nY/fSSy9h2rRpaGpqQnNzM7bddlth0kkttdRS64uxJ93bT2ra/qk56Xw+D4/CdK7r4oILLsDEiROxcuVKfOc738GsWbPw4IMPYtSoUbj77rvx1a9+FW+88Qaam5vF+2UO1iuuuAJf/vKXsXz5crz++uuJ45x55pn44Q9/iPHjx+PMM8/EoYceirfffhu2ve7Tf+edd3DffffhgQceQHt7Ow4++GD84Ac/kAnslFNOwTPPPIPf/OY3GDZsGM455xz8+c9//tS8NwB0d3djn332wYUXXohcLofbbrsN+++/P9544w1suOGGuOeee7Dlllvim9/8JmbPng0AGDRoEK688kqcc845eOONNwAAJQL3fNZ4AcCyZcuwyy67YOrUqXj88cfR3NyMZ555Bn4dAQKgUgkHHHAALrnkEhx//PEAgMMPPxxbb701Fi5cCMuy8OKLL8L5lBKXWq2GWk1zMceZgjjsF4URYJC3yN5f/K2cPQ8Jx5LH1dGu397Z26YQrZnJao/KZm9MrQvWKvINI5sXb0xKvyjMZ+cGJUqPVBs6bneX9jKFvUxvz8Qk4mXw6z97IIahmbDE22bmJl/YnuyQwEeR+u2igJyhvMyAyq1Mk7zeyEc2Uvv3hExErZMIROBrFjEOZzIHdnNrLGRKRCvE6x26NfGsmP88rsktxuU+AZdbMUmI3wCwC2NlT/WKTxz58CqVBs9bUg5rKtr7IyATjxucpgSwDYCoQsWtnqyGvdHQ9WIlgUku7jiPuZRZEUjMaS4lmMkA4I1rH6Hjkya5bcMjPu96EF/o+VJmyN66hNsNDRxjz589YxVVoP8lGq+4Bw0AdqkY46BnRjhdbhiVOW1EzG4MdszmGxW1+Jo7NgxmuSt3Af0EjvUFtZ3KSSftnzZJL168GD/72c+w2267AYAg4gBgo402wo9+9CN86UtfQnd3N0qlEgYNUgjQ9dZbTzzfrq4uXHXVVbjmmmukeHzcuHH48pe/nDjW9773Pey7774AgPPOOw+bbrop3n77bUyaNGmdfQvDELfeeqsk94844gg89thjuOiii9DV1YXbbrst0fdbbrkFI0eO/Mzz3XLLLbHlllvK7wsvvBD33nsvfvOb3+DEE0/EoEGDYFmWeMZsLS0tMAwjsaw343XttdeipaUFv/jFL2RynTBhQkO/7r//fhxxxBG4/vrrhSkHAJYuXYpTTz1Vxmj8+PGfem6XXHIJzjvvvM88/9RSS+3f1/pTJ52asn/oJP3AAw+gVCrB9314nocZM2bg6quvBgC88MILmDdvHl588UWsWbNGas2WLl2KTTbZZJ37e+2111Cr1WSy/DTbYost5DsXla9cufJTJ+kxY8Yk0HcjRoyQUPK7774Lz/PwpS99Sda3tLRg4sSJn9mHnp4enHfeeXjggQfw0Ucfwfd9VCqVBOqwL/Z54/Xiiy/iK1/5yqd6v4AqM3jggQfwq1/9CgceeGBi3SmnnIJjjz0Wd9xxB3bffXd87Wtfw7hx49a5nzPOOAOnnHKK/O7s7MSoUaNgWGaMsCQvr8iSI5Z8WVaAMlGMxhBQIBd5q2dPlJV+YmQX7E1ZBB6SvHU2r8u0LH08QIFpJBdeZe+ciDzyhQbPkEFMZjaHgCk+CUAm5CScuy00I+pZq9YJ0QrdU7UyIip/CbqWqb8G5cJNC90B5YaZ5pI86tC04NeV7Qi1JHlnAbQnahKoK6qyt1uDFTJdqi/nyf0WWkvejiIIZiGnc8NkDOwDl4dZurSoka7Sl/uAwVacTzUdR18XAjRJhCUKEVcOUzug/lYrMJifui5CoilAYyVYzK9NHq7ShdYqXfF1Tj4ny7QeNQP0fMlBswc98dt7AADeXKjSV1YuCwdqnN01BCgkr93KZRv00eP5byZUEU+aS8c8X5PwMIUu67EXk9cUiJOgULlYT1nz2lNUImQwnltDyADMVlWCZTD9a6UHoR+P0uiIWV8s1ZPuv/1Dh2PatGl48cUX8cYbb6BareKee+7Beuuth56eHuy5554olUq488478dxzz+Hee+8FoMK6n2a9BXzFJyoRMqhDon5ae96G20d1hP1sUR0YpN5OPfVU3H333bjooovwhz/8AS+++CI233zzzzy/T7PejFdvxmbcuHGYNGkSbr755oZ+zJs3T3Lajz/+ODbZZBM5Rr1ls1lhB+oNS1BqqaX272UssNHbT2ra/qGedLFYxMYbb9yw/PXXX8eqVavwgx/8QEjV60FKGabOi5UwjB8/Hvl8Ho899hiOPfbYAey5tnHjxsFxHCxevFj62tnZibfeegu77rrrp273hz/8AbNmzRKPtbu7G++//36iTSaTSZzfpy3rzXhtscUWuO2220TVZV02ZMgQ3HPPPZg6dSpmzpyJX/7yl4m2EyZMwIQJE/Cd73wHhx56KG655ZYGj/uzzLBM2OSBBK4HK0PeBJWHJBDBdWjYhNpQHdxTcqWG2ZDrZJPynEoPLCeJ4JbtTQPwyJuqU7wBYrlC7ltM65eJSRpCc4wyr5V1LppdA9b4dXIivsHo7sQuInXunqn66Ua6RMi11Hlls4wkJjISoenUCkwsoMBUpVahpGlaWRmMPGKrWJJyLq8OMQ5Tl1c16n4T4ripCLODPNq6Fz4zk9G5YK8REyGCFXWCIGZTmxbP4MaUXzcKTVoookLeMVPBMjrdtmW7ev1rRKFcF85NWzE1q0Q7QIhKDMMUFDfnoNmDnnD87vKbxUacFhUxYV3r0PNlLKy8zo+rHUbi+bInL6j4jCP9NCga4VF5F+edzVw2VmLG/Vb7c9pa4K2ksj+i0hUBlrWfSJRIzpuxIYUmRWgCwCi2wPT6l5NGX4DhqSedsH+J4dhwww2RyWRw9dVX491338VvfvMbXHDBBYk2o0ePhmEYeOCBB/DJJ5+gu7sbuVwOc+fOxWmnnYbbb78d77zzDv70pz/hJz/5yYD1tampCUcddRROPfVU/P73v8crr7yCb3zjGzBN8zNzKRtvvDHuuecevPjii3jppZdw2GGHNXjzY8aMwVNPPYVly5Zh1apVsqy7uxuPPfYYVq1ahXK53KvxOvHEE9HZ2YlDDjkEzz//PN566y3ccccdAkBjW2+99fD444/j9ddfx6GHHiph+BNPPBFPPPEEPvjgAzzzzDN47rnnMHny5P+lUUwttdT+nWygaEH/HexfYpIeOnQobr31VvzqV7/CJptsgh/84Af44Q9/mGiz/vrr47zzzsPpp5+OYcOG4cQTTwSgFE2++93v4pxzzsHkyZMxc+bMhlKk/21bsGABdtppJ+y3337YfffdMWXKFEyePLlBfzRuV1xxBdra2rDzzjtj//33x/Tp07HNNtsk2px//vl4//33MW7cOAwdqnJDO++8M771rW9h5syZGDp0KC677LJejdfgwYPx+OOPo7u7G7vuuiu23XZb3Hjjjev0qocPH47HH38cL7/8Mg4//HCYponVq1fjyCOPxIQJE3DwwQdj77337jM4LAojBLUagloNYa0Gv1yBX64g6Ckj6CkjrHkIax6iKEToe+rjuiqXGASIggBhpYywWkFYrciyyK0prysKEXZ3IuzuROR7igK00qM+PV0Ie7oSHrmZzahcHT0JIs/Xx6HjBpUKgkoFUawP0qa7A2F3hzp+pRtRpRthV7v69HQg7OlA5FYVwjzwlbdc7VHeWBQi8lxEnguj2gkj8GEEPuywBjusIR90Ih90wgkqcOCpT1iFE1aRN2rIGzVYkYdisBbFYC387jL87jLCmqs+lYr6lLvht7fDb2+XsYjKXYjKXQi6O9U5ez4MR9VMR56nPkGAoFpVFK2Oo2QtwxBRGKp8fRQBUSTb15vfralMDaYf5W2CACHdA2xWLgMrl1EeI7UzcnkYuTzsllbYLa0I3ZrCK2Syss4otiiPLpuX62iVmmGVmmEYpvpY/FEo7Xj9s8XepmEq7zTjIHQ97c1ymzx/crDyORlvQNVBB5Vawz7fXPgo3lz4KCYcvztMx4LpWHKvB1UXQdWFYVlyPO6bYdv6Y1nKm6UxEWGaKJLz4u15nd1cgt1cUmMdqg/328xkVP49CGHYDgzbQejWlBcd+EqoJF+CkS8qcRpOHtM9azgOzFILzFILjEw2IajSFzNMo0+f1LQZ0eclU1P7XOvp6cH666+P+fPn45hjjvlnd+efbp2dnWhpacH+R9+EXLNS14mCUMKatY8VTzCHXMNyT2MZDd2WYXeHJv7gdTUqbym06BIoBhbxpMwh8jBUITsAJof5qOzKKjXLPgUkRYCZsNKjQ37MMb7ifdACGFVVzhJlS4njGy6Bl/waLF+BcfwSIfOpTMrp+UTGani0HABQdNT2Xa6FIUV1Tt019bAqZtRYrKlYyFoEEPySYleKGExEIeJg5d9gkKIRl6OZaz5Uv4eOlbGIKEQsAKEgkOvB5WvMABYFgVwfMRr3scNyuOrHJ+C7836LZRUqq2rvoLHU2zCrlqhQFXV5m3BRd6vwLYfUvTWrNXCMS7+YpKZShjNUcXQzU5qQzZAZltWQPomrcJl28oWVUwZmJiMANwFeMU93LqvLpGhfDqlTac1pS0LfL5/3SwBQkygd9/+3962xlh3llatqP84593272223ceMXCXbGE4IgCUkUOUbBTptkMhBl4E+EiWF4jZKMR4mMBcKylMljYieOBjw2DydAJPgBcUYB4rFFiBxZwsRCShxjY8LD7Udjd/d9ncd+VdX8qO/7au9zL/S9N5zQMbWk1r19Tp29a9c599Re32Mt9tsOEyVVsX7YALlgLaiiZa22LP8+lc/79ylfXaHXlC2xmCnvaWNQPn18x/O2iwKzg6x7TjchxoSisryHup7gc5/6H9jY2NhV7Ql/F9zztldjPt9ddnVUNfjPd35+1+d4oeMFrd09K3z5y1/GY489hp/4iZ/AxsYGbrnlFgDoOKRERERERHgo7KEFa8/q3S9sxE16n/ijP/ojPP7442KV9sADD4gXaYSHLUrU1rOq5tRzSFaoPYru0hv2D857wuzkJ0toDk/J8fhPVwQtJhtwCReBkYTm0LP0et6nC5JiA6b0zNIMyVGJGISpKyTLvv+emahjEYjhBvQCuQRRcVey5Y9tll+EpKRimmLdn2/J98nrioqYbA1FOtt64s/LLVVzzRo0CXO/+BzSWk781fVGDc5b9edbF4cp/9xBZZDRuG+Q4Ig5+Ywfwu0468dhShJaIbejbHIaAFAWh+F4DVIufgqFQI6Z5XijsxbI+uI+lRzy12nYjeow+eQ6B0MuWPUpn27K6bm27GVz2kcRzLDFiM89Qsf077WrPINXSsNyyw+/Z6TTbUcbUFz8Rp+n0HJGEYTBHJoNf70cIRFBnMkEao6uj8OrxJCbjQ2Zr0R0SHSp2Rxuk1blNisuEqtOjoVB/8f3/RcAwGN/eq9/SRkkQ5mtVxR5UFpJUZkIrbDjVlHK+VxG7Jrer+IZ/xnIDhzc3jYojl2VOJ9JS2CrZlHa1ljcp72hckSJ0gn7QWzB2j/iJr0PvPzlL8fDDz/8/Z5GRERExL8LRDGT/SNu0hEzg0rSkOsdzHfzzADSczwrc1UpOUt57fyK/2W8Ee7kWZLQkmhGPo9k7Fmipdxw0yNBDMr/2iT3LU87za8fJEO5LYtzr0rrwDxYoITnUWxCm24rip74a8oqz7Cd0kgsz8GfP6HX9FWFxlEecorMpRooKr9O/dw/SJovmFQOGXcGTUuO8l+yc+KwpYglN5nPmarJJrBKzFfykZTnb6pgxMGaAOzapTTUXNc5if8vaLUPMYNmqCQBFImKLK34B4XxpcII00OHw3j4XDM7YonpBhUuJasHkS15xs35V3md5LHVNreGNstm1hha84jFDgYtj2jSVRA3LbetsCkIlYScMrdQMYO+7DeuAQD8y90PoBmTxCgZZSSD1meOfbpZRIWET5rRRPLiuufHZyI+E1oamYlnS13BlHx1ObiDtZzeAMCORlBU9Mo57Hbu3m2s+9/7fSi9vxKmaLCxf8RNOiIiIiJipvCF+Ltl0jOezL8zxE06YmbQ/RxpSpW6VSksiIVAGLYqg8ctG1QQo7C9BalItiyqQDlXN78KQ/lpN+9zy6qg57jSV6dQJMEpeVjKdyeLy0E4Y647J/TmvPgHAstu+sTqFg+ibktXAnCU/y1zYq1Ngab212JWveCM3vCV3JPxJkrtx52mHLomplk1CmXD6nZU3U1F0pulxoTFVy4iKUiuZm+tF3sAO6oEN8y284FvXQICXamJPS4fFHbrziHfYZIMtaOhjOc1EfEUYnVtL2mpqGZRkSSBysgAxfQ7Y9T8vFT9GzL74FyznYy3mXyIqUaawRADNvwesjQszVulScuKtGtLmQz6wo63tfxQexZdqD92j21STWDXO0h3+nlkrRyvn++/3P0AAODSN/8sHrv9c/45ig4wa84W5kIVO7++fcx0unrdv6/pAr1PVd0RcvG/BFETWQuOooCjXHMtS81pW9hQ9R9z0t8fxE06YmawVQ1j6Atwh/AxK0Vx7ybgNZn9Ly3NZmmvohAcOz6N1qSITFySaioASyjsXRdwXICV0wZVUfHRZBzadljulW8klAqtJxwGpnC7K0ZIx779xaRT/r2tQicJfW/6jVi1CqjY/Yo3Yt4TRhUwoD21mmpHTpQD1Y0FZSgKSYtbVNoP4XkKdyfU8tUsnguZgXhsk+rVViHFd27i523INUn1ww0Mv2fiLHZgxT9ejGErbnuj0DaFYc0otBxJYRK7Z03GsvGboT+fbnki82dG0hKiiKVCuJpvLtj9i8+10erdpnCuoUKy/Lzz0ZBbm55qL9N5jrrpbnbtfnv+rLBeOmtx81gzKWQj5yIxDnE/dvvncNlvHgMAPPF/Pt85bz0cBxrJNwesIT4pQlvWlHqaeFUnSWgZoyK+9tj69Mnu6+RGVsNtUfHd3HxnTnAupDh6/dCatUfEnPT+ETfpiIiIiIiZIuak94+4SUf828AYYW/COtMQUhShkmT7R1KEN1pCIQCxRi7mYk1nw+5MFDYsNmAHJO5REwvgwqokDQyN5sKFRV5kY4pF0bFVNYYlXW1NrN70SDClCF7aJmWHLNWZW4oGKTxTW52Ksi9ZhyVqDdoc+3XKyCs7T0Lo205FHLjIKx2fQsOFcvycFN5VcD0Kx3Pov1U4phZ9ygD1lMjHaF20ncHh8qkIRDK3AE3UX9aLzp/M9WFLWrspxSqVpMEFayrloNIsvAf8zc0sMM2CGA63YHHRU8FiNYsSCucwLZ/DGRPC4szE5XOZiLtYWITt2uOiOW44hB5CxiJ0Qm1WXCRmm0YY9A+9/dUAgptW0s9bLV/E5FuheHHL4scUpxBIhKWXSoEdF76JqEm/J21ozPglijIZh4LJjAvOjKybmhJ92Q/2oiQWFce6iJt0RERERMRMsRdN7hjt7iJu0hEzg6tr2Iq9fkciFO/Ii1nsP9vtP+RsJL7MxWYnzwsAKeV6jW2gyDGKc8NZue5fz8zJlHCcp2YGPfZjzNayeOsyuxY214650dzSys+7URppTeyezo8R5bQdMRlTQdPvNqGWmcbPeymrMKGc7NK8Pw+zZecMDpGYSY+KreYHdN1JyItKTnhEQhh0HWk9hB0+T9dObK727L5Me8IW3SZJkzKzLkYAe2OLV/R2QYtpX2lwLYE126Q3xV/aGGG3045mtpgII5ZTceVQK0YqbK7leiaeyZz/nfKzNsaIyAvnrznv3W53YnBRWrp6QOoY9BTzt0XZkQ8FAsOVQrQ0lfVioRJus+K8MrDdj/prH/47yUHXW90IgLOulXvniIXt/N+WZSsHHTyqeW7JQjdSoYU1NxJV4Pw6Rz78g0HsRaO7ZrtFZNL7R9ykIyIiIiJmi724W8U9uoO4SUfMDlpDU5uI6w1C3ouEMMTMgvOrQGDUlLOF0nCU72V2wvf4Lu1BUZuTy6jVyy7JcwBgkgx26Vz/As5v0k+d9wCeEz/GnsSTcaj61XTsOZI1XTiIiuRIp1m+5IF1Jmze0twq+Jzv1mQLluIKa5uUPyWCWNbAyTVihJyfpJ+ntlptTofp/NRe5qgSvRkvwM6t0sGGnfWyi4dl7V0rL89rovlYHMXgVrm6auUsWQiD3ieSTlVJCs0lBixgQ0zNWodknv29qWKemHGysBhatsZ+vmzM4YoJMH0+nofSaNhYg3PuWffrTPf7ndxqB0oFVj8tpZkkSLkynYVSiN0lc/3OMdqvkw6BJEHSV53X8bmyhTlfxY0gfvK1D/8dAOAl118prVriHZ2ysUgW3Ly4DmBA61uFyAe3Y8lYau3TWYJ6neolpIUs+FhLFMKyx3UQPpGuDIT3Ya/QSkHvkiHrGO/uIG7SETODqyvYmkOQNZzpFqBIO4fWsjm7KVN55ay0PokuNoVxG7WMhMLODW3K2pCRfUIbVT2WlituMeIiM1gbwsYcSibZa5gmbAwUrtZ0Q2DHGzIXp7kflb6MbSjWShpuB6MNkQrH+trAUNhwkYrEFijsvbFlkNCXGUcc+7l/bnnOiUIZh2anw9398hTGdFPA801rSi8MT8LyFyAXfrU2L9m0qMBOCqmyvozn90zaZGzYOLjdSDbEHb5s+QYgpcKs8pmngtpb2i1a0vOLUlAoaYjWRjjtYsWtX9LiNxrJe8g3hFKgaC003ziwChndAJjhMBSz8Q0Et1JtjWSj5sd05rrX2+qllhautpvXd2iz+pe7H8Clb/5ZAMATd/1t5znXWLlZkw8BQcL+aBXB8XuRhFYwuQnJukV/zhi5JhmzOC+vS6inH9bBtvS+94KYk94/4iYdERERETFTxJz0/hE36YiZwdUV1BypfW2ehhMGweIk/LPFWlkti5TDknILllW8pEjMj9H1JLRgUdiZx7Coia4nwnZZFYxFUVw5Ceel8C8XsyHLYbnIiBiWZvctHf5smMlzcZgm5ytlDbRlb2tiJ8See4mFIVKUUsFYRXrddeMwIFZdNxTWDPodocBsWlSC1rTRoS3N0jpZ0gxnRu8P1irOousXtieMkK43tbBbXgSEQ+ASHqXWL9c0nUKx9k8ghE+ZvXGoGtaKJzZfUyg8ayS8DjkmF03p7S1Y7ElOa5EuLm8T39BUIOXPV3Wek6hKXctG0WxR9IbYqu73pGCM26TaqmC8FlZYNvs7U0QgSba1WXGRmM5SYdA/9F+vAgB89Y776XqtrGfD4fI51tn2804GfRjWt5dCvzA3wz7qoJB9SwTFkNgKpxok3J1lEqFQaQK1TyodN+n9I27SEREREREzRQx37x9xk46YGXRvEIpqsr4wUi6IkiKxwbwwJZG0JPEM01uU3CqzxZB37gkr2Sb4SyzWJnmQ4+R8MbF1PZgHqGhNUc5SDzxrb048ifS8F9OxiXFwu5Vt5JhOUa6W2D44V50OkBdrnSk5KhYrjUZBjKSiohyWBVVKwbBPMTHpogzOQ/IF1tIm7/xEayxFDNiNq2kKOEO53WSq/agu/PsAyHvBmulI8/BesYCGnmbiKXRO7T4t5gUAtqxC7ho8XWKdg/lQ3MWFeq3csqO5y3l4jDHBtYqvoS3dCd92JdrsC/5aWKymnRtmBs5tWsnSUksghFkzRUiURkXFb+wYxdrdHInQeSZsl/2g2c3K1o0wbslbczQoDZrhzKB/+B0/D8DLiYpWOAmVSO4+5wKyqvUcC7OEmolkutWN89d1s63ojq+NmbhfnypERPaIJFVI0t3tvrsd94OCuElHRERERMwUUbt7/4ibdMTMoPJcpBoTsxLcdDjPKGImtfyuyQ2Lc4+mGMFQNbZlEw3OKaf9kF8erAAAN27BDqg1qKlCLrpPTLGg1p0khZLzEQujL4jk4HmSI+U8ZjPv/Y7d4kE03MLU8PnJxYsZrW1QLpJf9tI5/rFTTwIANquBtGA9v+HPsTjw592aOBjrf2dfaUVORs9tAjkx4OQ8X71upCLbz6MqNmD71OJGbL+25CI2dwBqkareaX2TRb9utjcI+drVw2hDZTkcVzsvdH2k1TxXARsh8czK2p7ELJbBMp3tyn7+jNRPf8s/dtC3zLmqDOIpzDaZ/VVlEJzhau6p98sWk1Ax3spzA4DOBsKyDZ+DPgNmCCSHDnbOC2LSyVwfmroURChkOidtbDDGoBauZjSRMewLzZAq8TyDYwc0YsLsmHXZbx6TVi1m6dOypOn8IOSnyZ2sIaMNnfVCnpmZ/5RRR/sxqfy2NrRslbU4d+0V0QVr/4ibdMTMoJKdre3ki5bDyK3QI3+JBrekKhTB9ChUS/rYLs2D7kG7ugoQxyuX5CGMO6VX7azt9Mb6B6lYa2FJCpA49FfTZq8XV2Fd6wYDCDccVCinilEokJP5+82yKgZSRFbWVKDE8uBWiW1l3b1vwLjWaExoQQJabUuifZ7JdfJmLUjSkHIwwQGJFkNaofT8YuccdjKW8LoUZ/FmR5uB7vXhWq5Tft6t9q60u758UW3FMS5CM1u+rcxtnQ7jCfKZmVsKRWTtPnsAjt2x0iy0kanu+Z0xrf5oas2jeZjhlmyu6ULXFUolSWirYqUvKbJiTWwtr+fQPW/MKk2liGxaFcyZ0GYl6m10A/C1D/8dXnL9lf73D32Bzk/FgnzsJEEySDqv57naqg5qc9NpgaJoWYJSUdtUMZ7/PYfGfjfpWDi2X8RNOiIiIiJiptAqqIvuZmxEQNykI2YGZ6wwKFdXEjINvsGsQjUShmc3TtOLiQGZBuDWp22qUVqETlB0W7FYwEQXm3B0HlcS0+NWm6be5kXMqDfXO+06AKDHfm52awC1dcqfjwrFMCXgkRYb4VisOT48AQDI7UQ0kPPUM5d+Fr6Z+rn/nQ2XcnpuubJINDEtDt+OybOaC7usET1yFm3R5B5m00wcxUSchFmotcEBjNbCcEjaWjmmYbbN7xcX3iWphHi5bakdRmXY9jHpOHw+TaF4LuKzrXH83mkqZtODeXHUcixqItrdVOSVZRJp4dA2WiIsorY2Paf+QKIn05EWU5RIydGKWb2E9cnxylZ1KODKuhEHoMVyWXOcQ8jOiVCJtFnRcZrhWBj0S97ycwCAx//3/+scD9bBcsie2XWrsE+uZYfolhTytf/ugM6O6YwJSmZ7hFJ7YNIxJ91BjP5HRERERMwUHO7e7b+94gMf+AAuvvhi9Pt9vOIVr8ADDzzwXce///3vx+WXX47BYICXvvSl+OhHP9p5vq5r3HLLLbj00kvR7/fxspe9DH/zN3/TGXPRRRdJQVz737ve9S4Zc9111217/lWvetWeri0y6YiZwRYTNKC85uZpgLSrOYdo2mIXp050XsssB00h7U5JSdrD9H9jKmGsDUluJsSsbcUtMCmw6Vkv2GfZsoBJFnLf3PrVysExI5M2HmLNti7DMegna4WLWEe+IEIn05GADDUUVVlxwViehmIxlgWtacwc60BvWVGEtKTVzXlcjg5kxRoqagdLJuv+deTGpYZr0n4mvtBNaKlxVNBnR1uYhuR/WXCEW6rIzavZXIMZ8+XWnTnpNGt5cncT7XYygtbcHjXqnAPOBr9rrlXYOEnzMSG/zn7j/N4xQ65rWScZy7KmeS8wb8rnc37fFhNhtw2x5GbTf/bShUUpAgu5ZH+cepO0x7MU1dq6XDsAZMLI8xBhmPKDZi1uIAiVtF2tOAfNDPql/+1qAMAj//PTfomqusXSdef1vB7+IrqsGegKyABo+VLPoRluyTGnBWB2i1n2SX/yk5/Eb/3Wb+EDH/gAfuZnfgZ33nknjh07hkcffRQvfvGLt42/44478O53vxsf/OAH8eM//uN46KGH8Na3vhWrq6v4pV/6JQDAe97zHnz84x/HBz/4QVx22WW499578brXvQ4PPvggXv7ylwMAvvSlL3W+wx555BG85jWvwa/+6q92zvcLv/ALuPvuu+X/+ZSz2pkQmXRERERExGyxFxa9RyZ922234frrr8db3vIWXH755fiTP/kTHD16FHfccceO4z/2sY/hbW97G97whjfgkksuwRvf+EZcf/31+IM/+IPOmJtuugnXXnstLrnkErzjHe/ANddcg1tvvVXGnHPOOTjvvPPk31//9V/j0ksvxZVXXtk5X6/X64w7cODAnq4vMumImUH3B5I31IuroVKXRUm4VWYyhuqz49JUe0p/SR5rxMwiVCQ3fXJuyv3rmx3y1sIeGWx4oXWoCt8hX8c5c2ZfZkDtSy1jB3bfcrr7p6RMqyqd2rMMibI0VYpaeWY3LDzL54ruSaWQFhQpoFasnAwcKhMqv3WvlbdFEB5psnlZX0vV8Emx7ueR5sKgWQZVRFGsbeWnifmToMyOOUJ+L7PACri9StqtSm6dq4XF6Tla04bNS0KulKvSpT5h/flwPmYszF6Ha9CHfIubomp0jgCoQXgvhEGzGAmz7KYOoi1Zl9m0K5qZkaZLoVJe8tMkapKyUUdJjHzQR766AgAonnnGT5tctdKFuZCLnvaDruognkKtVO22Lq7iZnbMDPqKm14PAPjKbZ/puFe156p7eUtWNDBjADCjIdLlVboG+vvjsRvrct1muCntkHtFyxp8V2MBYJOiF4xer4deK7cPAFVV4eGHH8aNN97Yefzqq6/Ggw8+uOPxy7JEv9/9ThgMBnjooYdQ1zWyLPuOY/7+7/9+x2NWVYWPf/zjuOGGG7b9vXzhC1/A4cOHsbKygiuvvBK/+7u/i8OHD+94nJ0QmXRERERExEyxn5z00aNHsby8LP9+7/d+b9txT548CWMMzj333M7j5557Lk6cOLFtPABcc801+NCHPoSHH34Yzjn8wz/8Az7ykY+grmucPHlSxtx222144oknYK3Ffffdh7/6q7/Cs88+u+Mx77nnHqyvr+O6667rPH7s2DH8xV/8BT7/+c/j1ltvxZe+9CW8+tWvRlmWOx5nJ0QmHTEz2KIQUwdnLRLyapZcHOcHkyTkKMtgugGQWAjnf9lEgwRMbH9Z5D+FnXNOmuagTAU71WetSrZu3Ag91JxjlX5pK8yMGbWIqDS1SJUyg5Z7ZzZ3KNaQkbFFMzrdeX0Cg8z5OSxQvnnQIzGTscPyvJ/DiBh1j6q7B5lFjw02pqrROZ+rTSmCKqr080/ovLWzwqB5vOLctA6M1hbEpMfEZJI05G0H3b5hUM4XSkP32fCCxrYFSIjZGTLWsJRHdnW9rYqeoeaWQs6coyGcR03SwKq5p5cYtUBruEmYn782kvRcWgmRDq4GZ+OM8QiOGtd1j200Q2+0MOiFblRAzCnKSiRCswMH6fRcCV632C1V2PMXdouBcVU3r2U635LY5d5rYttfue0zAIDLb3itGHSIYApfd1lJhICPw/aUutcPc+qTZ3odqrv5d5VlsGz7ukfsJyd9/PhxLLUiGNMsuvua7sGdc9+xSvy9730vTpw4gVe96lVwzuHcc8/Fddddhz/8wz9EQutw++23461vfSsuu+wyKKVw6aWX4s1vfnMnt9zGhz/8YRw7dgznn39+5/E3vOEN8vsVV1yBV77ylbjwwgvxmc98Bq9//eu/8yK0EDfpiNlCQoqZfEFOazW7ut7mkatyUifb/HZ4kNykwLVH9SQUbkkhF7VX9bzKl2sKH+YFJI7G4W8pTmufl2NtSSqhYDUV9mqHu+WGI+2OaQAYbgfjG5WMxCeKFAlMZzxHj3sZRLubvydZ4MJYYMwqZDQHXiduxUrNBA2LVlAxm60plG+asMnxWrY3P752vkGaX6Fz9EIRGL9n3MZGhWs6y6Xwqanp5oCKn0xRwFXd9igJ17daoeS8CbfmnZKbMMXphFaxk4SuwevMmxiLdgThDfaTFhGaqhTxEkkPtNXQOCRN74VreWxze9a0cljQ8HZS7BhEZ2hDrpvwmWnY0ctfY7owF0LpdLMZNutahEq4zUoET2gjf+KuvxX3rMfffx+N4XmEvy8uGLNkWG7LQlTflKUbK/bRNkZC9WYygZr63O4W+xEzWVpa6mzSO+HQoUNIkmQba37uuee2sWvGYDDARz7yEdx555349re/jSNHjuCuu+7C4uIiDh06BMDnm++55x4URYFTp07h/PPPx4033oiLL7542/G+9a1v4f7778enP/3pM17bkSNHcOGFF+KJJ54441hGDHdHRERERMwUs2rByvMcr3jFK3Dfffd1Hr/vvvvw0z/909/1tVmW4YILLkCSJPjEJz6BX/zFX4SeSpz3+3286EUvQtM0+NSnPoVf/uVf3nacu+++G4cPH8ZrX/vaM8731KlTOH78OI4cObKLq/OITDpitmDWUNehLYQFNcCuS8221hGIy5SG4vYqamliNymXAElD7Ec8p9lBiViZqUPIlBkWFUS1BYUdhfGE7U+GUAvkhS1iEfSzKoXB89wsPcfsNamGgaHRObiFbF4XsK7beiUaGy78Pt/nwjH/88CCCgZRFOKVFiVeWyQisCLheZLEVE0BS4wbGbeMhfQCM1gp4mMm6jKAxEQcF/txqiINTEeKwVi7u+R1d6FwjJl4q+WNw92uofVm6c/BQohmSNsSM71M5EQlVUFrYCkVoZMUTt5f1vWeD+dwLLFKrJEct5KFpZbEpz9vLUVic7Jm/FnlYq/QStVHdXqt8/psKYTNzXgi4/yYoMHNzF0+l3zMXk/+RqaFSrhIzEwKYdAvfddrAIR2LaiWmEmLJfunMokCMLuW55SW8L5OM/FL3yv2Uzi2W9xwww34tV/7Nbzyla/ET/3UT+Guu+7Ck08+ibe//e0AgHe/+914+umnpRf6q1/9Kh566CH85E/+JNbW1nDbbbfhkUcewZ//+Z/LMb/4xS/i6aefxo/92I/h6aefxs033wxrLX7nd36nc25rLe6++2686U1vQpp2t9PhcIibb74Zv/Irv4IjR47gm9/8Jm666SYcOnQIr3vd63Z9fXGTjoiIiIiYKRT24IKF3TNpwOd9T506hVtuuQXPPvssrrjiCnz2s5/FhRdeCAB49tln8eSTT8p4YwxuvfVWPP7448iyDFdddRUefPBBXHTRRTKmKAq85z3vwde//nUsLCzg2muvxcc+9jGsrKx0zn3//ffjySefxK//+q9vm1eSJPinf/onfPSjH8X6+jqOHDmCq666Cp/85CexuLi4bfx3QtykI2YGzt0B/q6f86jidFW1KhyZtQmDIFYGSP60Gfj+Qt1iilZTMYww753ahThHS7lpaiNReQ9uSuxCzBYGCy3zCnZiCse21HolTHrOt7Do8RrNI4HT9Hpuden5666rEzAs8kJCIyyg2Y70ia80nX5r4gLzZkMEXkOav0lyaQvjdWPpVKdDnh3t3DtARiZM57stWP4gxGC5RY1FVFJ2iwoTN9Q6k7CHs7MhisJr2Sr6kqgAF6fRtejBvDBuTOV47Wi4LT8ujJyFXpJEPleOvurawidqiqU7E1g3G1soeg8SLoor665Pduva2zKfIis61W4FZQMjLlqFkwCgHFTSzVdzLrsZT+T3aaGSdpSBzzMteCKMGt2iMH+cRqRcuY5AoXWNzO7/FZi1C9Y73/lOvPOd79zxuT/7sz/r/P/yyy/Hl7/85e96vCuvvBKPPvroGc979dVXw7md12cwGODee+894zHOhLhJR0RERETMFNEFa/+Im3TEzOCM7cpsSo6za8eHphIhC4b8meqUbYqRTDxLbbNYx74WVEnN7BVtuU6qrg552FZ1tpyH2EmrelhylsRaXRaYpYiX0BhN9pnMXp1LhWULC6VcqUECB7aodO3DoGwVujPhESlQF8ZLnrwXohVy/Tw3bhNjpmeqEGng94KZapqHim3OF4v95UBateQ9lMp4bi0qO/livxatL1tu8eE2JzLz0AtLgQkys2Uxk/EwRDOabgU2V2sDLQbNBhlzCzRXs02oRNqJ0my7dGZbMIXZIxmaGJ5vmonAiKWogBn5OWWry/R408of+zXM6TmlVWiB4jwwC5dkScdb2r9A0XM9Gaemcp8igFJWoYpb+TFtRv2PN3/CPzXVytVZn6Zbva17uUQMbFXJHPYKrRX0Ljff3Y77QUHcpCNmhvShT0Gn/st0xa2jdv7LIVf+i9JQ8dQgaWRTLqz/SC6m/svg/FWH+T45A81T6FGHYqs+9RdvDv0X9NKCH3ty3X/Z5KlCQW1Lz3zbj10Z+LHPPpuLgleq/GMjQ0VArbzYOPFfsMeOPgcAePqkweEVfx4u6pL7DdpElxcT5Jkf8/WnvgkAOHqxv7Yf+dFlNLU/3xVXXgAA0CltGNYh61F4n8b05vz/N58r0VT+sd9+r2/3OJD7zWOV7h8uvCTF8RPfAAAcOuyPOaD1e/70U3j2lA/hFY1/bEjXm6sGE+c3jZ7ya9/QHVCqrLh2jZx/PzP4MYv5DwF4E5KvfRGTE1TkNHyeroXCsbAS6mf1s7aym8momOuil/mfUvwXQsP8M+FUibOhcIyPQxt49ojfmJo09HRr272Jc9Dh5o/62euef5+TeoTi8Ev9PAdURPf8t/zPg0eDNjj1kfONQP0cqXylWbjpo41clMDSDPVpL5jBNxrJgj9Hvb4ZWrBI+SvphX5pNxXy52Pz2nSU0qYcyP7x5k/gR29+IwDgsds/R+P9WtSbPXH2YrT9rNMFLhasgXJ/W8asw90vZMRNOiIiIiJipvCb9G7D3TOezL8zxE06YmYoeyvIqf1nVNcwxGJKdmVSrEldIwXpF1N71Xrt/6DnRgUmpb+rZ59lS2G6onZYmffjN8fkz0zMdlz6MWUNbFKN08TQx33izzXEAnrWh4RrYopjcmQa2CEm7M5E11DQMU9PEhQUfl0Z+McyjjBz/ZsyqCl0uEbuUKsj/5qTJwrpfHr+m/7J9hdTQqyaWfNg0R98eLqCIaZeKs+wNoltF5u8Rg1OsWW09s+tbdJ5h8Bm5Y/FrLlRxKacQcntVM062qhcLky6yDzbbIxft0lCmuEL50EtcDif1qAlJuK4rYuL+PLW/+niNacVuL0ry4OmOhffjb1SW3YwaB+3nZ4AoM79ddheqKA1cl7PCnWxKemIJuHQMq374MD2MDm9LllYCudzdA3UBpcsrvjzVmVLNKbbJqWU3iZwItBK2qMSdKMEut/rtEUBEFEd0eJOksC2uc2Kw/tJIgz6st88BgB49H/9Xz/GGCliE/ETjla15qjzDHqnVNEuEHPS+0fcpCMiIiIiZopZWlW+0BE36YiZQVmLzFGe0JUAZQFzR8ISxM4clOSAmVFzjrifKWSUXuP2o4x+5rWT2hcW/pDn6GcvA2rDjN0fe55cpdbGFRr6E8hBOUPHeVSHxFHOz3XjbwfnDPosMLJEzH+L5ssKpEphZdGPWRtSERvNdXEpQ1H488yveGaS5sQUG4f+gp9TQa/j/1cTg7RHntTO+2jPUe4+T/zBDy4nGJH2dj/v5s2tsxIBAOVoC5pUrhpY4yn4nKbnrJ9bAiP+1zUx6IRELfqGPJTHp+FYfpS9vNta6eyexMV4NRWAlUOYBc+KRfCEXbS2NkJvLeWBOe9qJ2MkS9zKF9iif4DYoKmCBzkhSLVmcMSgRRO+5RHOAjRSzDa/LOflwjguprNlS07Un6QlwkJT4tw6TKv1i64paxWi8YeEmeyUZ3UbbkpUJZnrbxMjkeI96yQHzQz6R377PwHw2t9SqMbHFt9vDU1/gM1oIq1pe4XaQ+FYZNJdxE06IiIiImKmiIVj+0fcpCNmhqzZEmMEDSsMeqfq4Wn0E2KafdUmA/6xAbFOa7C86O/yh5Tv5UrmBargTrRCTeyRzSlSYp0Zajl2QnOYs54ZOijMwzPLDZDUZ6tgdmHQlewUNUdifr2eQpp2GQGTQp0qLC575rJ8rs899ijvPDpdCXOe/rLqL6TQ6VTEgVqE5nJH159gZZ7Xwo9dXSZmXtXop7QuNGFLohmJsshIFjOjXHZN2eVUWakV4EjDoiYmTNGQvBlCUe6dxWbEicw2UNSillQ+f8rV3mkzhi18VIAZsNny/3fjzeBpTazTiqQsQgU1M1ha4IzlY5tJS+SG2sMqckDTgTlydTePNWkfhvPp7GnNAi/pJAiscPsbnZ/9r9VgITBigiX3Lz2YC/KlVI3ebk2cFihp55S5bW0aZkTRjF5f/KClda1VF1BvkvgLnaPtnvXPv/+X/hh5cK0DvKiKkZqBNMj27hFK7SEnHePdHcRNOmJmcNBoEuqvbSaoFKuD0QZBX/yNC1/2Pe2/VArjv6SqusE8bYi0H2FrTO0hFtjY8r9zm9UitWDVDYVn4bBJ7nq19cepWoJL3AZmqD2Mw98pGoxA/bf0pcGtX2WtUNa04ZfdwrGKHncWmJDVpLTciiy5w4TC3aee8l/UKbVrWeNQ0fUZurlYPOjXrZoUsBy6B+k1U0ie1cmMcRLe19Tm/O2Tfsza0GLS0LpaurmBD0kvuU3Uyh+zsN0ivqoV7m8SKlijfeog3cCU+RJczq8jiBVkAZBLmJl6ru4tB2U0VqSjzc8AAKuQce81W5IO5qUFy7GNJG0+db5dcpE1p2VzbmnCc2GgtGA1k+DMteiV5Ny6d2NTg0WxxGSFNMuqdXxD0RsE+0suEiPFMpWlcFsUXqfQfcJ93saIfaQZFzJelozWQNM6iY3l8qqci92suAeblcQASJsVF4lxiPuff/8v8R9u9FrSj/2pV8gyw5G8hsc1w/GOYffdIBaO7R9xk46IiIiImCmSVCFJd7f57nbcDwriJh0xM5ikB00sqUYGQ0zN7VA4xqxtYqlVhQqVqqbGaN3/vjJP4idUPLU1tsJgWSiJmfXGmMPASlq9HLFmsjZG4XI5D4ePS00CGDYwEBbAYLYOAD0Kc/NjBbFWLnKblFbEvFgEapNC8sY41NRelbNHMDP/0qJHU5hsdgvHgJYWNBXaGYoOjCt/krXNBpt07YsUjT2wTE5MSUgrcHhfE2uukYSQMBeJIRSOGXTFMVhpLKF1U861QwX+B/t2t19FRVq2vyyP2cEKACDlQqp5vwCuqaFIvERRGBbMnptGdKZZ+Ytbk9hP2+bzALFlw6pzPLfeIkAuYdZ2i6GauUMh18BFXkvnyP9FkY3atNSKf64tIMItYhx+DlreGnqO3MaYGfcoNG2DU5XuB2ESgKIE7G3N10ChbD6H7h8UP2guIOM1aiuJiY44Qee5MOjLfuMaAMDXPvQFAIApKlnX2IL1/UHcpCMiIiIiZopYOLZ/xE06YmZwOoMmtqLghKlVJMSREaN2UMJkmSEyy7YuMFEG5317WcgTsxONZv9qIr39XGFEeeNeSkIgjZI5cREbny9xfr49VUueOquHnXOkiYMlBss3/fwct4DVjZMWqGmTHK2UyIhyW8rgALX16Bo9Ys6TLWKBxLKzfgKdMIPdOTfIhWxtsK5GniokqjuZHvx7UCODpdxsQmuRupCb5vXh4qqeI39lYdJGktGaCsGsFGuNQtUcfwOrwLoVt2dxQRUVSDnTQNFnhYusOG9tiwlsTRrdXFzFbJvfp8ma5KKZSbMEqapGLZcwbsEyMm9ZJXL7Yt9ulSwEly1m1Kwj3romO1XMxvnjthyqSG+WQTpULc53xouTnHPBw5udvajojz9Mrm62e0W3IiDBs111/u+slRw0M+iXvOXnAHgJUbPPPHQbUbt7/4ibdERERETETBHD3ftH3KQjZgZtCjRUMZubkWdbgIiEMLx9Q5cuM+PrZ2pHdgjs3KrBKoacG7Yu/D6ivDG3LRkkIJKNgfIsJaW5lchgyUmoTn31bZZ6Fy6tHCpit8tUTT4q2PSDRVUCeeRIwKDH7VoOvV4QLwEgFd3OOnFC6s9TjrZlKMLV3dPrxXn3sgrny6cKcKrGwXDbm2ZxEs9Mc1SoqVKbRUyYPWtYeT8KYoIsS8owaR9IiBHmlFPmCul8Xn4XtzDDXsw6tDexixXnpMvQciQMlCMWBw5tM5HA1Je7TXJYYtCWqss7LWAcYqBj22mZTiC4s43965D1gwMYs1b2qJ7zVd8q7wXHFZ5/W5SEBV2m4ro6z4MLFkukElt21gYDDbpOrgpvNtbl8WnpUHaw0r08eGTzdUr1fdOq/Pbj2xKiX73jfn+e4XjfLlgx3L1/xE06YmbQtkGv9BtbjgqavoTZQamv/RdK44LiWI8eY3eqfq6kP5nDxz3a7MYTK49xWxb3Sa8ubrfh4+9wDnsvNaNt562owGYpLTGkNpoJb8jUk701drI592mzXSEZZ96Y5/qao6lYIzWy1SX/5zaYT6VwbLDU/RPM+hr5HOtV+4MtHPAbRVNZeY4V0nIqBlvqk+LYaoaCvki5T3ph3r9mpbTYKv14Dvn3FYVVlUVGKmR93f0iblyCPrXGjazfODNKC/DNQlqPpbdNLDopjK3LLTiyF00L/3lo+r5tKKmGaPor/ljcypSFHl8lClwcCvdj9GAAxYVUrXAvACjHqZMUitMYtDlzEaDMsYWE+qtV5VDbo/5B3sj5pgIQm09F12QpFM4buVpYhjUc7qaNkDZS3etvC93zB9PVNRIpXNyWI9k2X9bsZri6QTJPam2TSec4tqzEzUoOSXevRmlps+LNnUPcX73jfvzwO34eAPCVP/4slNnflhH7pPePuElHRERERMwUMSe9f8RNOmJmsDqFIcWxytQSPuaCLEsKV6Xqo0+FSBXdqc+TEsfWxEhRVs4MmJyvqtqhIIcsEfAgX+kTa0H7uyBHrTFpSxti9Jt2XhhpTa0r3Hb0vOnDEhVmQZaTa54Frk+AjJS7huS+NSr8+Vkae2XeISUmvUVR22ee9+ztxVsNKpr3eN0/lvWpVa0w4n5VjniMn2NTWlQTYvwkZjIm5q/peGVpxQGMldUSUm/bGjuMKhIzofdgBM/cUlth3KNWotL7ZjNLNipDwe1KtCbcziZj0j6gpxSxmEVmAzj6HIifc8K+3S1RES6kKpgFWtgRsVMO9RKLbdZOIzvk52s2faEaa36LWE6SQFNRWNNb8WtBbNkmA5mDqieducHWIczNoe05ahnTIW7rOATOzJr0vaGUzJeZqYiZKA015YPdYc30u6IPD4erbVkHNTApAKO1H7KvdSYMmgVP5LBVJaFqEScZ0dgsRTMcd55jNMMxvvLHnwUAXP7fr0WxtQncjj0jhrv3j7hJR3zPwZtqbWr5wlSmgaUQNlcIgyqDa1VDu67KVUb/L5qQw7MUms6arqqYPxcdmxKypRgEKND+hcrweJK9NI3MgfOvNVXDWmVhqZeYVcgKyg+WBiAPC8n/ljQXnlLRaNA9BUo6L79mVDaoKt44aZOmyuK6sMiocruiG4CEcvJNaSVkWNPGUDnu7/avmdQOpeG1o7Wstawlr0HF7xHYRKRBTZslHzts0v55AKgpp81mFGVdYXNzE2VdoqYNkSv6WclL2SrITLI9JIWIranDxs/hccqXs6IXACh6L+QxmwJk5NHQJsuV77zpG6Vh+XwmnA8AjKmk6l7Rc5qeU7ZGwxXnlm4uGlIAUwi7SMOV33TdNY+xEp6XTVqHPLRUfhNEL8A0ICE4KPqFq7xt00BzBwT1OTt6ztB5bTWBos8OV7UzbFUDJdUFODb0oJsLrWXjn+6DtlUtIe5iaxMl3RC46ZaFM2BrUu863L012V/e+4UK5fa62hERZ8BTTz2Fo0ePfr+nERERMSMcP34cF1xwwRnHFUWBiy++GCdOnNjT8c877zx84xvfQL/fP/PgFzjiJh3xPYe1Fs888wwWFxe/axHI5uYmjh49iuPHj2OJbAf3iu/FMc6247wQ5/JCxA/i2jjnsLW1hfPPPx96l2YbRVGgqqozD2whz/O4QRNiuDview6t9a7ushlLS0v/6i+578UxzrbjvBDn8kLED9raLC8vn3lQC/1+P264/wrEFH1ERERERMRZirhJR0REREREnKWIm3TE9w29Xg/ve9/70Ov1zjx4hsc4247zQpzLCxFxbSL+LRALxyIiIiIiIs5SRCYdERERERFxliJu0hEREREREWcp4iYdERERERFxliJu0hEREREREWcp4iYdERERERFxliJu0hEREREREWcp4iYdERERERFxliJu0hEREREREWcp/j9D9iSCbaHrdwAAAABJRU5ErkJggg==",
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"text/plain": [
|
|
"<Figure size 500x500 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
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"output_type": "display_data"
|
|
},
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 500x500 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
|
"image/png": "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",
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"text/plain": [
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"<Figure size 300x150 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
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}
|
|
],
|
|
"source": [
|
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"pitch = '0.3'\n",
|
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"environments = [\n",
|
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" '25-07-08-01-serverroom-p14s',\n",
|
|
" '25-07-08-01-electronicslab-p14s',\n",
|
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" '25-07-08-01-homeoffice-desktop',\n",
|
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" '25-07-09-01-forest-x1c',\n",
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" ]\n",
|
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"batchlabels = ([5, 15, 25, 35, 45, 55, 65, 105], ['Office', 'Server Room', 'Electronics Lab', 'Home Office', 'Forest', 'Before Experiment', 'After Experiment', 'Patching attacks'])\n",
|
|
"group_a = [value for value in data_runs[f'environment-25-07-08-01-office-p14s-p{pitch}'] if not value['info']['mods']]\n",
|
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"group_b = [value for env in environments for value in data_runs[f'environment-{env}-p{pitch}'] if not value['info']['mods']]\n",
|
|
"group_a += group_b\n",
|
|
"group_a += [value for value in data_runs[f'attack-repeat-25-07-09-01-p0.3'] if not value['info']['mods']]\n",
|
|
"# Exclude mesh 56 as its response is easily distinguished by min/max, making it light up very bright in the plot and swamping out the colorscheme for everything else.\n",
|
|
"# We also specifically did not measure that one sample that got a hidden short during modification, since that's also too easy.\n",
|
|
"group_b = [value for value in data_runs[f'attack-repeat-25-07-09-01-p0.3'] if 'loop_patch' in value['info']['mods'] and value['info']['serial'] != 56]\n",
|
|
"\n",
|
|
"print(set(x['info']['specimen'] for x in group_b))\n",
|
|
"print(len(group_a), group_a[-1]['info']['timestamp'])\n",
|
|
"print(len(group_b), group_b[-1]['info']['timestamp'])\n",
|
|
"\n",
|
|
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_repeat_tridelta_all_the_data_p0.3', do_lines=True, figsize=(5, 5), smooth=1e-9, triangle_delta='load', batchlabels=batchlabels)\n",
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|
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out='patch_repeat_tridalta_all_the_data_p0.3_minmax', do_lines=True, figsize=(5, 5), smooth=1e-9, batchlabels=batchlabels)"
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]
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|
}
|
|
],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
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"version": 3
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},
|
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"file_extension": ".py",
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"mimetype": "text/x-python",
|
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"name": "python",
|
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"nbconvert_exporter": "python",
|
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"pygments_lexer": "ipython3",
|
|
"version": "3.13.5"
|
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}
|
|
},
|
|
"nbformat": 4,
|
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"nbformat_minor": 5
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}
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