sampling-mesh-monitor/jupyter_notebooks/classifier_tests.ipynb
2025-08-29 17:04:45 +02:00

5280 lines
2.8 MiB

{
"cells": [
{
"cell_type": "code",
"execution_count": 79,
"id": "a20b8991-06b8-4686-b296-aeb0d177125b",
"metadata": {},
"outputs": [],
"source": [
"import scipy\n",
"import numpy as np\n",
"import re\n",
"import math\n",
"import sys\n",
"from collections import defaultdict, Counter\n",
"import json\n",
"import datetime\n",
"import itertools\n",
"import warnings\n",
"import statistics\n",
"from pathlib import Path\n",
"import zipfile\n",
"from scipy import interpolate\n",
"from matplotlib import pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 80,
"id": "32a509a0-ff60-4744-b0a6-7077c4a15bec",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_8132/2846935186.py:45: UserWarning: Unknown pitch for 'cal-open'\n",
" warnings.warn(f'Unknown pitch for {meta!r}')\n",
"/tmp/ipykernel_8132/2846935186.py:45: UserWarning: Unknown pitch for 'baseline-5-open'\n",
" warnings.warn(f'Unknown pitch for {meta!r}')\n"
]
}
],
"source": [
"def notebook_path_on_disk():\n",
" return Path(json.loads(Path(sys.argv[-1]).read_bytes())['jupyter_session'])\n",
"\n",
"modification_data = {\n",
" 'short_across_traces': [31, 32, 33, 34, 35, 41, 42, 43, 44, 45],\n",
" 'short_within_trace': [26, 27, 28, 29, 30, 46, 47, 48, 49, 50],\n",
" 'open': [21, 22, 23, 24, 25, 36, 37, 38, 39, 40],\n",
" 'probe_points': [53, 54, 55],\n",
" 'loop_patch': [56, 57, 58, 59, 60, 61, 62, 63, 64, 65],\n",
"}\n",
"\n",
"baseline_serials = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"\n",
"def load_multichannel_data(path=None):\n",
" if path is None:\n",
" # Get the data dir independent on where exactly the Jupyter server is running\n",
" path = notebook_path_on_disk().parent.parent / 'data_multi'\n",
" \n",
" data_dict = defaultdict(list)\n",
" data_dict_runs = defaultdict(list)\n",
" for le_zip in path.glob('*.zip'):\n",
" le_zip = zipfile.ZipFile(le_zip)\n",
" for entry in le_zip.infolist():\n",
" if not entry.filename.endswith('.json'):\n",
" continue\n",
" data = json.loads(le_zip.read(entry))\n",
" info = data['info']\n",
" meta, specimen = info['meta'], info['specimen']\n",
" mesh_id = specimen\n",
" _rest, _, serial = specimen.rpartition('-')\n",
" try:\n",
" serial = int(serial)\n",
" except:\n",
" serial = 'none'\n",
"\n",
" mods = []\n",
" for modification, matching_serials in modification_data.items():\n",
" if serial in matching_serials:\n",
" mods.append(modification)\n",
" info['mods'] = mods\n",
"\n",
" if (g := re.search(r'p([.0-9]+)', meta)):\n",
" pitch = str(float(*g.groups()))\n",
" else:\n",
" warnings.warn(f'Unknown pitch for {meta!r}')\n",
" pitch = '?'\n",
"\n",
" mesh_layout = re.sub(r'-\\d{4}', '', specimen)\n",
" \n",
" if (g := re.search(r'side-([ab])-(right|left)', meta)):\n",
" layer, half = g.groups()\n",
" mesh_id = f'M-{specimen}-{pitch}-{layer}-{half}'\n",
" mesh_layout += f'-{layer}-{half}'\n",
" else:\n",
" mesh_id = f'M-{specimen}-{pitch}'\n",
" info['mesh_id'] = mesh_id\n",
" info['mesh_layout'] = mesh_layout\n",
" info['pitch'] = pitch\n",
" info['serial'] = serial if serial != 'none' else 0\n",
" info['baseline'] = (serial in baseline_serials)\n",
" data_dict[mesh_id].append(data)\n",
" data_dict_runs[meta.strip()].append(data)\n",
" return data_dict, data_dict_runs\n",
"\n",
"data, data_runs = load_multichannel_data()"
]
},
{
"cell_type": "code",
"execution_count": 81,
"id": "26ba6967-a405-49d5-b835-c3cb9276bc08",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"1264"
]
},
"execution_count": 81,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sum(len(value) for key, value in data_runs.items())"
]
},
{
"cell_type": "code",
"execution_count": 82,
"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",
" 'copy-interleave-25-07-11-01-p0.3': 63,\n",
" 'short-within-trace-interleave-reference-25-07-11-04-p0.3': 42,\n",
" 'patch-interleave-25-07-11-02-p0.3': 40,\n",
" 'short-within-trace-interleave-modified-25-07-11-04-p0.3': 40,\n",
" 'apply-patch-interleave-reference-25-07-11-03-p0.3': 40,\n",
" 'apply-patch-interleave-modified-25-07-11-03-p0.3': 40,\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": 82,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Counter([value['info']['meta'] for entries in data.values() for value in entries])"
]
},
{
"cell_type": "code",
"execution_count": 83,
"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": 84,
"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": 84,
"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": 85,
"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": 85,
"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": 86,
"id": "b8d7c4e0-7860-4058-8fd1-e7948ac06674",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"5"
]
},
"execution_count": 86,
"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": 87,
"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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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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rpe//1eoUvOfHU2BVmfOsTsErYY8+b3UKHquprtJb6XeqrKysWaaNLqfxd+B/Hjnv0zVAL/VuY/rP4u/oAAEAYLZ6w+OpqyuOBY+xESIAAAg4dIAAADCZ4cNF0D5bTB1g6AABAICAQwcIAACT0QGyHgUQAABmM3y4CNrch7lvGEyBAQCAgEMHCAAAkxn19TLq6302FjxHBwgAAAQcOkAAAJiMRdDWowACAMBs7ARtOabAAABAwKEDBACAyZgCs55HHaCsrCz16dNH0dHRio6OVmpqqt57773myg0AAKBZeNQB6tixo1588UV169ZNkrR27VqNGTNGBw8eVK9evZolQQAAbjR0gKznUQE0evRot89LlixRVlaWdu/eTQEEAMDVYhG05bxeA1RXV6eNGzeqqqpKqampl41zOBxyOByuz+Xl5d5eEgAAwCc8LoAOHz6s1NRUVVdXKzIyUps3b1bPnj0vG5+RkaHnnnvumpIEAOBGwk7Q1vP4Mfjk5GQdOnRIu3fv1syZMzVp0iQVFBRcNj49PV1lZWWuo6io6JoSBgDA3zWuAfLVAc953AEKDQ11LYIeMGCA9u3bp+XLl2vlypWXjLfb7bLb7deWJQAAgA9d8z5AhmG4rfEBAADfwpDvFi/TAPKKRwXQ/PnzNXLkSCUkJKiiokI5OTnavn27cnNzmys/AAAAn/OoADpz5owmTpyokpISxcTEqE+fPsrNzdVdd93VXPkBAHDDYR8g63lUAK1evbq58gAAIGAYhiHD8FEB5KNxAg0vQwUAAAGHl6ECAGA2doK2HB0gAAAQcOgAAQBgMnaCth4FEAAAJuMpMOsxBQYAAAIOHSAAAMzGImjL0QECAAABhw4QAAAmYw2Q9SiAAAAwGQWQ9ZgCAwAAAYcOEAAAJjMMH3aAeBeYVyiAAAAwm2E0HL4aCx5jCgwAAAQcOkAAAJiMV2FYjw4QAAAIOJZ1gCo+OaOaiK+surzXonu2szoFr9RWOqxOwWtRsZFWp+C1wj/stzoFr5xb/4bVKXjN5rxodQpe27Khi9UpeGXCjxZYnYLHnHW11ibgw8fg2QnaO0yBAQBgNl6FYTmmwAAAQMChAwQAgMnYCdp6dIAAAEDAoQMEAIDJDMPw2Q7O7ATtHQogAADMVi8fLoL2zTCBhikwAAAQcOgAAQBgMhZBW48OEAAACDh0gAAAMBnvArMeBRAAAGYzjIbDV2PBY0yBAQCAgEMHCAAAkxmGDxdB0wHyCgUQAABm42WolmMKDAAABBw6QAAAmIx9gKxHBwgAAAQcOkAAAJiMl6Faz6MOUFZWlvr06aPo6GhFR0crNTVV7733XnPlBgDAjam+3rcHPOZRAdSxY0e9+OKL2r9/v/bv369/+7d/05gxY3T06NHmyg8AAMDnPJoCGz16tNvnJUuWKCsrS7t371avXr18mhgAADcqFkFbz+s1QHV1ddq4caOqqqqUmprqy5wAAACalccF0OHDh5Wamqrq6mpFRkZq8+bN6tmz52XjHQ6HHA6H63N5ebl3mQIAcIOgA2Q9jx+DT05O1qFDh7R7927NnDlTkyZNUkFBwWXjMzIyFBMT4zoSEhKuKWEAAPxe48tQfXXAYx4XQKGhoerWrZsGDBigjIwM9e3bV8uXL79sfHp6usrKylxHUVHRNSUMAACuzYoVK5SUlKSwsDClpKRo586dV4x/7bXX1KNHD4WHhys5OVnr1q1z+7rT6dTixYvVtWtXhYWFqW/fvsrNzXWLqaio0KxZs5SYmKjw8HANHjxY+/btc4s5c+aMJk+erPj4eLVs2VJ33323jh8/7hYzdOhQ2Ww2t2P8+PEe34Nr3gfIMAy3Ka5vstvtstvt13oZAABuGFZOgb399tuaNWuWVqxYodtvv10rV67UyJEjVVBQoE6dOjWJz8rKUnp6ulatWqWBAwdq7969mj59ulq1auV6OGrBggVav369Vq1ape7du2vbtm164IEHtGvXLvXr10+SNG3aNB05ckTZ2dmKj4/X+vXrNXz4cBUUFKhDhw4yDEP333+/QkJCtGXLFkVHRyszM9MVExER4cpp+vTpWrx4setzeHi4x/fNow7Q/PnztXPnTn3xxRc6fPiwnnnmGW3fvl0TJkzw+MIAAMB8mZmZmjp1qqZNm6YePXro5ZdfVkJCgrKysi4Zn52drUcffVTjxo1Tly5dNH78eE2dOlUvvfSSW8z8+fM1atQodenSRTNnzlRaWpqWLVsmSbp48aI2bdqkpUuXasiQIerWrZsWLVqkpKQk13WPHz+u3bt3KysrSwMHDlRycrJWrFihyspKbdiwwS2nli1bql27dq4jJibG4/vgUQF05swZTZw4UcnJybrzzju1Z88e5ebm6q677vL4wgAABKrGDpCvjqtVU1Oj/Px8jRgxwu38iBEjtGvXrkt+j8PhUFhYmNu58PBw7d27V06n84oxH330kSSptrZWdXV1V4xpnE36ekxwcLBCQ0NdMY3eeustxcbGqlevXpozZ44qKiqu6uf/Oo+mwFavXu3xBQAAwDcY9Q2Hr8ZS06esL7UE5dy5c6qrq1NcXJzb+bi4OJWWll5y+LS0NL3xxhu6//771b9/f+Xn52vNmjVyOp06d+6c2rdvr7S0NGVmZmrIkCHq2rWr3n//fW3ZskV1dXWSpKioKKWmpur5559Xjx49FBcXpw0bNmjPnj26+eabJUndu3dXYmKi0tPTtXLlSkVERCgzM1OlpaUqKSlx5TNhwgQlJSWpXbt2OnLkiNLT0/Xxxx8rLy/Po9vGy1ABALgBJCQkuD11nZGRcdlYm83m9tkwjCbnGi1cuFAjR47UbbfdppCQEI0ZM0aTJ0+W1NChkaTly5fr5ptvVvfu3RUaGqrHH39cU6ZMcX1dapgmMwxDHTp0kN1u1yuvvKKHHnrIFRMSEqJNmzbp2LFjat26tVq2bKnt27dr5MiRbuNMnz5dw4cPV+/evTV+/Hj94Q9/0J///GcdOHDAo/tFAQQAgMkMw4fTYP+cASsqKnJ76jo9Pb3JdWNjYxUcHNyk23P27NkmXaFG4eHhWrNmjb766it98cUXKiwsVOfOnRUVFaXY2FhJUtu2bfXOO++oqqpKJ0+e1CeffKLIyEglJSW5xunatat27NihyspKFRUVuabQvh6TkpKiQ4cO6csvv1RJSYlyc3N1/vx5t5hv6t+/v0JCQpo8LfZtKIAAALgBNL6ovPG41BPYoaGhSklJaTJdlJeXp8GDB19x/JCQEHXs2FHBwcHKycnRvffeq6Ag9zIiLCxMHTp0UG1trTZt2qQxY8Y0GSciIkLt27fXhQsXtG3btkvGxMTEqG3btjp+/Lj2799/yZhGR48eldPpVPv27a+Y/zdd82PwAADAM1Y+Bj979mxNnDhRAwYMUGpqql5//XUVFhZqxowZkhr27ysuLnbt9XPs2DHt3btXgwYN0oULF5SZmakjR45o7dq1rjH37Nmj4uJi3XrrrSouLtaiRYtUX1+vefPmuWK2bdsmwzCUnJyszz77THPnzlVycrKmTJniitm4caPatm2rTp066fDhw3ryySd1//33uxZt/+1vf9Nbb72lUaNGKTY2VgUFBXr66afVr18/3X777R7dBwogAADM5ssdnD0cZ9y4cTp//rwWL16skpIS9e7dW1u3blViYqIkqaSkRIWFha74uro6LVu2TJ9++qlCQkI0bNgw7dq1S507d3bFVFdXa8GCBTpx4oQiIyM1atQoZWdn66abbnLFNE7LnTp1Sq1bt9bYsWO1ZMkShYSEuGJKSko0e/ZsnTlzRu3bt9fDDz+shQsXur4eGhqq999/X8uXL1dlZaUSEhJ0zz336Nlnn3VbJ3Q1bIZh7h7a5eXliomJ0WPvfip7RJSZl/aJ6J7trE7BK7WVl9+s8noX3DLU6hS8VviH/Van4JVz69+wOgWv2ZwXrU7Ba1t+G/HtQdehCT/6m9UpeMxZV6uNx7errKxM0dHRpl238XfgQ0vyFBrmm//eNdVV+t0zd5n+s/g7OkAAAJiMl6FajwIIAACz1dc3HL4aCx7jKTAAABBw6AABAGAywzDkqyW4Ji/lvWHQAQIAAAGHDhAAACZjEbT1KIAAADCbhfsAoQFTYAAAIODQAQIAwGRMgVmPDhAAAAg4lnWA7G1ayh7pf9u+++srJVpENn0rsL9wfum/rzaISvqO1Sl45UJvz14qeD0JahHy7UHXqT3/9TurU/BKeechVqfgMWdttXR8u3UJsBGi5ZgCAwDAbD7cB4hF0N5hCgwAAAQcOkAAAJjNMCRfLV6mA+QVOkAAACDg0AECAMBkvAvMehRAAACYzKivl+Gjp7d8NU6gYQoMAAAEHDpAAACYjXeBWY4CCAAAkxn1vnuFhcEMmFeYAgMAAAGHDhAAAGZjCsxydIAAAEDAoQMEAIDJeAzeehRAAACYjSkwyzEFBgAAAg4dIAAATGbUGz58DJ4OkDfoAAEAgIBDBwgAALM17ITou7HgMQogAABMxhSY9TyaAsvKylKfPn0UHR2t6Ohopaam6r333muu3AAAAJqFRx2gjh076sUXX1S3bt0kSWvXrtWYMWN08OBB9erVq1kSBADghsMUmOU8KoBGjx7t9nnJkiXKysrS7t27KYAAAIDf8HoNUF1dnTZu3KiqqiqlpqZeNs7hcMjhcLg+l5eXe3tJAABuCIbhwzVAbIToFY8LoMOHDys1NVXV1dWKjIzU5s2b1bNnz8vGZ2Rk6LnnnrumJAEAuKHUGw2Hr8aCxzzeByg5OVmHDh3S7t27NXPmTE2aNEkFBQWXjU9PT1dZWZnrKCoquqaEAQAArpXHHaDQ0FDXIugBAwZo3759Wr58uVauXHnJeLvdLrvdfm1ZAgBwAzGMehk+Wrzsq3ECzTXvA2QYhtsaHwAA8C2YArOcRwXQ/PnzNXLkSCUkJKiiokI5OTnavn27cnNzmys/AAAAn/OoADpz5owmTpyokpISxcTEqE+fPsrNzdVdd93VXPkBAHDDYQrMeh4VQKtXr26uPAAAAEzDu8AAADAba4AsRwEEAIDJDMPw4RQYBZA3PN4HCAAAwN/RAQIAwGxMgVmODhAAAAg4dIAAADCbUd9w+GoseIwCCAAAkxn19TLqfbQI2kfjBBqmwAAAQMChAwQAgNkMo+Hw1VjwGB0gAAAQcOgAAQBgMsPw4RogFkF7hQIIAACz8RSY5ZgCAwAAAYcOEAAAZmMnaMtRAAEAYDLDqPfhy1CZAvMGU2AAACDgWNYBcly4KNX4XwMqKjbS6hS84vzyotUpeC3kpnCrU/BaxednrU7BK87jH1udgteCqsutTsFrfTPbWZ2CVyI3fmR1Ch5z1tVam0B9fcPhq7HgMTpAAAAg4PhfCwYAAH9nGD58DJ5F0N6gAAIAwGRGvSHDR09v+WqcQMMUGAAACDh0gAAAMBs7QVuODhAAAAg4dIAAADAbj8Fbjg4QAABma5wC89XhoRUrVigpKUlhYWFKSUnRzp07rxj/2muvqUePHgoPD1dycrLWrVvn9nWn06nFixera9euCgsLU9++fZWbm+sWU1FRoVmzZikxMVHh4eEaPHiw9u3b5xZz5swZTZ48WfHx8WrZsqXuvvtuHT9+3C3G4XDoiSeeUGxsrCIiInTffffp1KlTHt8DCiAAAALI22+/rVmzZumZZ57RwYMH9f3vf18jR45UYWHhJeOzsrKUnp6uRYsW6ejRo3ruuef02GOP6Y9//KMrZsGCBVq5cqV+/etfq6CgQDNmzNADDzyggwcPumKmTZumvLw8ZWdn6/DhwxoxYoSGDx+u4uJiSZJhGLr//vt14sQJbdmyRQcPHlRiYqKGDx+uqqoq1zizZs3S5s2blZOTo48++kiVlZW69957VVdX59F9sBmGuRsIlJeXKyYmRo/99zHZI6LMvLRPRH33O1an4JXa8mqrU/CaP+8EffL3+7496Dp0dmOO1Sl4zZ93gv59ptUZeGfKj4usTsFjzrpabTr+/1RWVqbo6GjTrtv4O/DutEUKCQnzyZhOZ7Vyty266p9l0KBB6t+/v7KyslznevToofvvv18ZGRlN4gcPHqzbb79dv/jFL1znZs2apf379+ujjxp2AY+Pj9czzzyjxx57zBVz//33KzIyUuvXr9fFixcVFRWlLVu26J577nHF3Hrrrbr33nv1wgsv6NixY0pOTtaRI0fUq1cvSVJdXZ2+853v6KWXXtK0adNUVlamtm3bKjs7W+PGjZMknT59WgkJCdq6davS0tKu+r7RAQIAIEDU1NQoPz9fI0aMcDs/YsQI7dq165Lf43A4FBbmXqyFh4dr7969cjqdV4xpLJBqa2tVV1d3xRiHwyFJbjHBwcEKDQ11xeTn58vpdLrlHx8fr969e182/8uhAAIAwGSNb4P31SE1dJe+fjQWFF937tw51dXVKS4uzu18XFycSktLL5lrWlqa3njjDeXn58swDO3fv19r1qyR0+nUuXPnXDGZmZk6fvy46uvrlZeXpy1btqikpESSFBUVpdTUVD3//PM6ffq06urqtH79eu3Zs8cV0717dyUmJio9PV0XLlxQTU2NXnzxRZWWlrpiSktLFRoaqlatWl11/pdDAQQAgNkMw7eHpISEBMXExLiOS01nNbLZbN9Ix2hyrtHChQs1cuRI3XbbbQoJCdGYMWM0efJkSQ0dGklavny5br75ZnXv3l2hoaF6/PHHNWXKFNfXJSk7O1uGYahDhw6y2+165ZVX9NBDD7liQkJCtGnTJh07dkytW7dWy5YttX37do0cOdJtnEvfzsvnfzkUQAAA3ACKiopUVlbmOtLT05vExMbGKjg4uEm35OzZs026Qo3Cw8O1Zs0affXVV/riiy9UWFiozp07KyoqSrGxsZKktm3b6p133lFVVZVOnjypTz75RJGRkUpKSnKN07VrV+3YsUOVlZUqKipyTaF9PSYlJUWHDh3Sl19+qZKSEuXm5ur8+fOumHbt2qmmpkYXLly46vwvhwIIAACzGfX/2gvoWo9/ToFFR0e7HXa7vcllQ0NDlZKSory8PLfzeXl5Gjx48BVTDgkJUceOHRUcHKycnBzde++9CgpyLyPCwsLUoUMH1dbWatOmTRozZkyTcSIiItS+fXtduHBB27Ztu2RMTEyM2rZtq+PHj2v//v2umJSUFIWEhLjlX1JSoiNHjnxr/t/ERogAAJjNwldhzJ49WxMnTtSAAQOUmpqq119/XYWFhZoxY4YkKT09XcXFxa69fo4dO6a9e/dq0KBBunDhgjIzM3XkyBGtXbvWNeaePXtUXFysW2+9VcXFxVq0aJHq6+s1b948V8y2bdtkGIaSk5P12Wefae7cuUpOTtaUKVNcMRs3blTbtm3VqVMnHT58WE8++aTuv/9+16LnmJgYTZ06VU8//bTatGmj1q1ba86cObrllls0fPhwj+4DBRAAAAFk3LhxOn/+vBYvXqySkhL17t1bW7duVWJioqSGjsrX9wSqq6vTsmXL9OmnnyokJETDhg3Trl271LlzZ1dMdXW1FixYoBMnTigyMlKjRo1Sdna2brrpJldM47TcqVOn1Lp1a40dO1ZLlixRSEiIK6akpESzZ8/WmTNn1L59ez388MNauHChW/6/+tWv1KJFCz344IO6ePGi7rzzTr355pvfuk7om9gHyEPsA2Q+9gEyH/sAWYN9gMxj9T5AacN+qpAWTaeovOGsdWjbBy+a/rP4O4/WAGVlZalPnz6u+cXU1FS99957zZUbAABAs/BoCqxjx4568cUX1a1bN0nS2rVrNWbMGB08eNC1ayMAAPgWFq4BQgOPCqDRo0e7fV6yZImysrK0e/duCiAAAK4WBZDlvF4EXVdXp40bN6qqqkqpqam+zAkAAKBZeVwAHT58WKmpqaqurlZkZKQ2b96snj17Xjbe4XC4bcddXu6/CxQBAPCJxj18fDUWPObxRojJyck6dOiQdu/erZkzZ2rSpEkqKCi4bHxGRobb1twJCQnXlDAAAMC18rgACg0NVbdu3TRgwABlZGSob9++Wr58+WXj09PT3bbmLiryv8clAQDwqcY1QL464LFr3gjRMIxLvnG2kd1uv+R23AAABCwWQVvOowJo/vz5GjlypBISElRRUaGcnBxt375dubm5zZUfAACAz3lUAJ05c0YTJ05USUmJYmJi1KdPH+Xm5uquu+5qrvwAALjxsAjach4VQKtXr26uPAAAAEzDy1ABADAba4AsRwEEAIDZKIAs5/Fj8AAAAP6ODhAAAGYzDB92gAzfjBNgKIAAADAbU2CWYwoMAAAEHDpAAACYzFZvyFbvm6krX40TaOgAAQCAgEMHCAAA0/nyJaasAfIGBRAAAGZjEbTlmAIDAAABhw4QAABmowNkOTpAAAAg4NABAgDAZDajXjYfdW58NU6goQACAMBsTIFZjikwAAAQcOgAAQBgNjpAlrOsAGoZHyN7VLRVl/da4R/2W52CV6KSvmN1Cl6r+Pys1Sl4LfHBgVan4JUWLe1Wp+C18LgYq1Pw2r8v/I3VKXil69IFVqfgMcdXFdL4PlanAQvRAQIAwGQ2GbLJR+8C89E4gYYCCAAAsxmGD6fAKIC8wSJoAAAQcOgAAQBgMvYBsh4dIAAAEHDoAAEAYDbD8N3aHdYAeYUCCAAAkzEFZj2mwAAAQMChAwQAgOnq/3n4aix4igIIAACT2QxDNh+t3fHVOIGGKTAAABBw6AABAGA2XoZqOTpAAAAg4NABAgDAZLwM1XoUQAAAmIx9gKzHFBgAAAg4dIAAADCd8c/DV2PBU3SAAABAwPGoAMrKylKfPn0UHR2t6Ohopaam6r333muu3AAAuCE1LoL21QHPeTQF1rFjR7344ovq1q2bJGnt2rUaM2aMDh48qF69ejVLggAA3GhYBG09jwqg0aNHu31esmSJsrKytHv3bgogAADgN7xeBF1XV6eNGzeqqqpKqampvswJAIAbGvsAWc/jAujw4cNKTU1VdXW1IiMjtXnzZvXs2fOy8Q6HQw6Hw/W5vLzcu0wBAAB8xOOnwJKTk3Xo0CHt3r1bM2fO1KRJk1RQUHDZ+IyMDMXExLiOhISEa0oYAAB/Z5MvF0LDGx4XQKGhoerWrZsGDBigjIwM9e3bV8uXL79sfHp6usrKylxHUVHRNSUMAIC/4ykw613zRoiGYbhNcX2T3W6X3W6/1ssAAAD4jEcF0Pz58zVy5EglJCSooqJCOTk52r59u3Jzc5srPwAAbjg2w5DN8NEiaB+NE2g8KoDOnDmjiRMnqqSkRDExMerTp49yc3N11113NVd+AADccGyql00+2gfIR+MEGo8KoNWrVzdXHgAAAKbhZagAAJjOl4uXmQLzBi9DBQAAAYcOEAAAJrP98/DVWPAcBRAAACaz2QzZbD56CsxH4wQapsAAAEDAoQMEAIDJeBmq9egAAQCAgEMHCAAAk9EBsh4dIAAATGb1y1BXrFihpKQkhYWFKSUlRTt37rxi/GuvvaYePXooPDxcycnJWrdundvXnU6nFi9erK5duyosLEx9+/Zt8pqsiooKzZo1S4mJiQoPD9fgwYO1b98+t5jKyko9/vjj6tixo8LDw9WjRw9lZWW5xQwdOlQ2m83tGD9+vMf3gA4QAAAB5O2339asWbO0YsUK3X777Vq5cqVGjhypgoICderUqUl8VlaW0tPTtWrVKg0cOFB79+7V9OnT1apVK40ePVqStGDBAq1fv16rVq1S9+7dtW3bNj3wwAPatWuX+vXrJ0maNm2ajhw5ouzsbMXHx2v9+vUaPny4CgoK1KFDB0nSU089pQ8++EDr169X586d9ac//Uk/+clPFB8frzFjxrhymj59uhYvXuz6HB4e7vF9oAMEAIDJbD4+PJGZmampU6dq2rRp6tGjh15++WUlJCQ06bQ0ys7O1qOPPqpx48apS5cuGj9+vKZOnaqXXnrJLWb+/PkaNWqUunTpopkzZyotLU3Lli2TJF28eFGbNm3S0qVLNWTIEHXr1k2LFi1SUlKS23X/8pe/aNKkSRo6dKg6d+6sH//4x+rbt6/279/vllPLli3Vrl071xETE+PhXaAAAgDghlBeXu52OByOJjE1NTXKz8/XiBEj3M6PGDFCu3btuuS4DodDYWFhbufCw8O1d+9eOZ3OK8Z89NFHkqTa2lrV1dVdMUaS7rjjDr377rsqLi6WYRj64IMPdOzYMaWlpbl931tvvaXY2Fj16tVLc+bMUUVFxZVuzSVRAAEAYLLGjRB9dUhSQkKCYmJiXEdGRkaT6547d051dXWKi4tzOx8XF6fS0tJL5pqWlqY33nhD+fn5MgxD+/fv15o1a+R0OnXu3DlXTGZmpo4fP676+nrl5eVpy5YtKikpkSRFRUUpNTVVzz//vE6fPq26ujqtX79ee/bsccVI0iuvvKKePXuqY8eOCg0N1d13360VK1bojjvucMVMmDBBGzZs0Pbt27Vw4UJt2rRJP/zhDz3+b8AaIAAATBYkQ0E+enqrcZyioiJFR0e7ztvt9st+j83mPnFmGEaTc40WLlyo0tJS3XbbbTIMQ3FxcZo8ebKWLl2q4OBgSdLy5cs1ffp0de/eXTabTV27dtWUKVP029/+1jVOdna2HnnkEXXo0EHBwcHq37+/HnroIR04cMAV88orr2j37t169913lZiYqA8//FA/+clP1L59ew0fPlxSw/qfRr1799bNN9+sAQMG6MCBA+rfv//V3jY6QAAA3Aiio6PdjksVQLGxsQoODm7S7Tl79myTrlCj8PBwrVmzRl999ZW++OILFRYWqnPnzoqKilJsbKwkqW3btnrnnXdUVVWlkydP6pNPPlFkZKSSkpJc43Tt2lU7duxQZWWlioqKXFNojTEXL17U/PnzlZmZqdGjR6tPnz56/PHHNW7cOP3yl7+87M/dv39/hYSE6Pjx4x7dLwogAABMZtUi6NDQUKWkpCgvL8/tfF5engYPHnzF7w0JCVHHjh0VHBysnJwc3XvvvQoKci8jwsLC1KFDB9XW1mrTpk1uT241ioiIUPv27XXhwgVt27bNFeN0OuV0OpuMGRwcrPr6+svmdfToUTmdTrVv3/6K+X+TZVNgZ3Z8qtDwSKsu77Vz69+wOgWvXOh9u9UpeM15/GOrU/Bai5aXb0Ffzzrc28fqFLxWXVpudQpeC+8z0OoUvBIUGmx1Ch4Lclqbs5UvQ509e7YmTpyoAQMGKDU1Va+//roKCws1Y8YMSVJ6erqKi4tde/0cO3ZMe/fu1aBBg3ThwgVlZmbqyJEjWrt2rWvMPXv2qLi4WLfeequKi4u1aNEi1dfXa968ea6Ybdu2yTAMJScn67PPPtPcuXOVnJysKVOmSGroYP3gBz/Q3LlzFR4ersTERO3YsUPr1q1TZmamJOlvf/ub3nrrLY0aNUqxsbEqKCjQ008/rX79+un22z37PccaIAAAAsi4ceN0/vx5LV68WCUlJerdu7e2bt2qxMRESVJJSYkKCwtd8XV1dVq2bJk+/fRThYSEaNiwYdq1a5c6d+7siqmurtaCBQt04sQJRUZGatSoUcrOztZNN93kiikrK1N6erpOnTql1q1ba+zYsVqyZIlCQkJcMTk5OUpPT9eECRP0j3/8Q4mJiVqyZImrOAsNDdX777+v5cuXq7KyUgkJCbrnnnv07LPPutYjXS2bYRim7qFdXl6umJgYPfyrD/2yA3Rm9aX3SbjeBdMBskT8pElWp+AVOkDW+GzNn61OwSsd7/me1Sl4zFFVoayxvVRWVua2cLi5Nf4OnNr9NoUG+6YHUVNXq9Wf7Db9Z/F3rAECAAABhykwAABMZuUaIDSgAAIAwGQ2W8Phq7HgOabAAABAwKEDBACAyZpjJ2h4hg4QAAAIOHSAAAAwmw/XAHm0FTRcKIAAADBZkK3h8NVY8BxTYAAAIODQAQIAwGSevsT028aC5+gAAQCAgEMHCAAAkwXZDAX5aAdnX40TaCiAAAAwGTtBW48pMAAAEHDoAAEAYDIeg7ceBRAAACZjCsx6TIEBAICA43EB9OGHH2r06NGKj4+XzWbTO++80wxpAQBw42qcAvPVAc95XABVVVWpb9++evXVV5sjHwAAgGbn8RqgkSNHauTIkc2RCwAAAYE1QNZr9kXQDodDDofD9bm8vLy5LwkAwHWNp8Cs1+yLoDMyMhQTE+M6EhISmvuSAAAAV9TsBVB6errKyspcR1FRUXNfEgCA61qQfLgI2uofxk81+xSY3W6X3W5v7ssAAABcNTZCBADAZCyCtp7HBVBlZaU+++wz1+fPP/9chw4dUuvWrdWpUyefJgcAwI3I5sNF0BRA3vG4ANq/f7+GDRvm+jx79mxJ0qRJk/Tmm2/6LDEAAIDm4nEBNHToUBmG0Ry5AAAQEJgCsx6LxwEAQMBhETQAACZjI0TrUQABAGAyCiDrMQUGAAACDh0gAABMxiJo61EAAQBgsiCbTUE+qlx8NU6gYQoMAAAEHDpAAACYjCkw69EBAgAAAYcOEAAAJgsKajh8NRY8RwEEAIDJ2AfIetSNAAAg4NABAgDAZDabTTYfrV721TiBhg4QAAAIOHSAAAAwGWuArEcBBACA2YIkm6/mYJjL8Yp1BZAvy18T2ZwXrU7BK0EtQqxOwWtB1eVWp+C18LgYq1PwSnWp/97zsHbRVqfgNXtsK6tT8Ep4B//LO6gy2OoUYDE6QAAAmIwpMOvROAMAAAGHDhAAACbjMXjrUQABAGCyIPlwCsw3wwQc7hsAAAg4dIAAADCZzYePwfvscfoAQwEEAIDJgmw2Bflo7Y6vxgk01I0AACDg0AECAMBk7ANkPTpAAAAg4NABAgDAZCyCth4FEAAAJmMjROtRNwIAgIBDBwgAAJOxCNp6dIAAAEDAoQMEAIDJWARtPQogAABMxk7Q1qNuBAAAAcejAigjI0MDBw5UVFSUvvOd7+j+++/Xp59+2ly5AQBwY7JJNh8dogHkFY8KoB07duixxx7T7t27lZeXp9raWo0YMUJVVVXNlR8AAIDPeVQA5ebmavLkyerVq5f69u2r3/72tyosLFR+fn5z5QcAwA0nKMi3h6dWrFihpKQkhYWFKSUlRTt37rxi/GuvvaYePXooPDxcycnJWrdundvXnU6nFi9erK5duyosLEx9+/ZVbm6uW0xFRYVmzZqlxMREhYeHa/Dgwdq3b59bTGVlpR5//HF17NhR4eHh6tGjh7KystxiHA6HnnjiCcXGxioiIkL33XefTp065fE9uKY1QGVlZZKk1q1bX8swAAAElMadoH11eOLtt9/WrFmz9Mwzz+jgwYP6/ve/r5EjR6qwsPCS8VlZWUpPT9eiRYt09OhRPffcc3rsscf0xz/+0RWzYMECrVy5Ur/+9a9VUFCgGTNm6IEHHtDBgwddMdOmTVNeXp6ys7N1+PBhjRgxQsOHD1dxcbEr5qmnnlJubq7Wr1+vv/71r3rqqaf0xBNPaMuWLa6YWbNmafPmzcrJydFHH32kyspK3Xvvvaqrq/PoPnhdABmGodmzZ+uOO+5Q7969LxvncDhUXl7udgAAAGtkZmZq6tSpmjZtmnr06KGXX35ZCQkJTTotjbKzs/Xoo49q3Lhx6tKli8aPH6+pU6fqpZdecouZP3++Ro0apS5dumjmzJlKS0vTsmXLJEkXL17Upk2btHTpUg0ZMkTdunXTokWLlJSU5Hbdv/zlL5o0aZKGDh2qzp0768c//rH69u2r/fv3S2povKxevVrLli3T8OHD1a9fP61fv16HDx/Wn//8Z4/ug9cF0OOPP67/+7//04YNG64Yl5GRoZiYGNeRkJDg7SUBALgh+GoBtGshtNSk2eBwOJpct6amRvn5+RoxYoTb+REjRmjXrl2XzNXhcCgsLMztXHh4uPbu3Sun03nFmI8++kiSVFtbq7q6uivGSNIdd9yhd999V8XFxTIMQx988IGOHTumtLQ0SVJ+fr6cTqdb/vHx8erdu/dl878crwqgJ554Qu+++64++OADdezY8Yqx6enpKisrcx1FRUXeXBIAAFxBQkKCW8MhIyOjScy5c+dUV1enuLg4t/NxcXEqLS295LhpaWl64403lJ+fL8MwtH//fq1Zs0ZOp1Pnzp1zxWRmZur48eOqr69XXl6etmzZopKSEklSVFSUUlNT9fzzz+v06dOqq6vT+vXrtWfPHleMJL3yyivq2bOnOnbsqNDQUN19991asWKF7rjjDklSaWmpQkND1apVq6vO/3I82gjRMAw98cQT2rx5s7Zv366kpKRv/R673S673e5RUgAA3MiCgmwK8tFLvBrHKSoqUnR0tOv8lX73fnPdkGEYl11LtHDhQpWWluq2226TYRiKi4vT5MmTtXTpUgUHB0uSli9frunTp6t79+6y2Wzq2rWrpkyZot/+9reucbKzs/XII4+oQ4cOCg4OVv/+/fXQQw/pwIEDrphXXnlFu3fv1rvvvqvExER9+OGH+slPfqL27dtr+PDhl/15rpT/5XjUAXrssce0fv16/e53v1NUVJRKS0tVWlqqixcvenRRAAACmU0+nAL755jR0dFux6UKoNjYWAUHBzfplpw9e7ZJV6hReHi41qxZo6+++kpffPGFCgsL1blzZ0VFRSk2NlaS1LZtW73zzjuqqqrSyZMn9cknnygyMtKtUdK1a1ft2LFDlZWVKioqck2hNcZcvHhR8+fPV2ZmpkaPHq0+ffro8ccf17hx4/TLX/5SktSuXTvV1NTowoULV53/5XhUAGVlZamsrExDhw5V+/btXcfbb7/t0UUBAID5QkNDlZKSory8PLfzeXl5Gjx48BW/NyQkRB07dlRwcLBycnJ07733Kugbz+CHhYWpQ4cOqq2t1aZNmzRmzJgm40RERKh9+/a6cOGCtm3b5opxOp1yOp1NxgwODlZ9fb0kKSUlRSEhIW75l5SU6MiRI9+a/zd5PAUGAACuTXNMgV2t2bNna+LEiRowYIBSU1P1+uuvq7CwUDNmzJDUsHa3uLjYtdfPsWPHtHfvXg0aNEgXLlxQZmamjhw5orVr17rG3LNnj4qLi3XrrbequLhYixYtUn19vebNm+eK2bZtmwzDUHJysj777DPNnTtXycnJmjJliqSGDtYPfvADzZ07V+Hh4UpMTNSOHTu0bt06ZWZmSpJiYmI0depUPf3002rTpo1at26tOXPm6JZbbrniFNml8DJUAABM9vWnt3wxlifGjRun8+fPa/HixSopKVHv3r21detWJSYmSmroqHx9T6C6ujotW7ZMn376qUJCQjRs2DDt2rVLnTt3dsVUV1drwYIFOnHihCIjIzVq1ChlZ2frpptucsWUlZUpPT1dp06dUuvWrTV27FgtWbJEISEhrpicnBylp6drwoQJ+sc//qHExEQtWbLEVZxJ0q9+9Su1aNFCDz74oC5evKg777xTb775pms90lXfN8Pktk55ebliYmL08PKdCg2PNPPSPnF2xTKrU/BKi4EjrU7Ba86D/8/qFLyW9LMFVqfglZYJrb496DoV1i7624OuU8df/8DqFLzS6YffszoFjzkqy5WZ2kFlZWVuC4ebW+PvwPU/GqKWob7pQXxVU6v/b8OHpv8s/o4OEAAAJrOyA4QG1/QqDAAAAH9EBwgAAJNZuQgaDSiAAAAwGVNg1mMKDAAABBw6QAAAmMxms3n86oYrjQXP0QECAAABhw4QAAAmswU1HL4aC56jAAIAwGRBNpuCfDR15atxAg11IwAACDh0gAAAMJsPp8BoZXiH2wYAAAIOHSAAAEzGRojWowACAMBktiCbbD56hYWvxgk0TIEBAICAY1kH6KtXfyZnsP81oLZs6GJ1Cl7Z81+/szoFr/XNbGd1Cl7794W/sToFr4T3GWh1Cl6zx7ayOgWv3fzjYVan4JV/5BdanYLHHF9VWHr9IFvD4aux4Dn/q0AAAPBzNvnwVRiiAvIGU2AAACDg0AECAMBkvArDetw2AAAQcOgAAQBgMpvNh2uA2AjIKxRAAACYLCio4fDVWPActw0AAAQcOkAAAJis4VUYvpoC88kwAYcOEAAACDh0gAAAMBmPwVuPAggAAJPxFJj1qBsBAEDAoQMEAIDJeAzeetw2AAAQcOgAAQBgMluQTbYgH60B8tE4gYYCCAAAkzXsA+S7seA5psAAAEDAoQMEAIDJmAKz3jV1gDIyMmSz2TRr1iwfpQMAQACw/Wsa7FoPUf94xesCaN++fXr99dfVp08fX+YDAADQ7LwqgCorKzVhwgStWrVKrVq18nVOAADc0IJsNgUF+ehgFbRXvCqAHnvsMd1zzz0aPnz4t8Y6HA6Vl5e7HQAAAFbyeBF0Tk6ODhw4oH379l1VfEZGhp577jmPEwMA4EbFY/DW86gDVFRUpCeffFLr169XWFjYVX1Penq6ysrKXEdRUZFXiQIAcKNofArMVwc851EHKD8/X2fPnlVKSorrXF1dnT788EO9+uqrcjgcCg4Odvseu90uu93um2wBAAB8wKMC6M4779Thw4fdzk2ZMkXdu3fXf/7nfzYpfgAAQFPsA2Q9jwqgqKgo9e7d2+1cRESE2rRp0+Q8AADA9YqdoAEAMBmLoK13zQXQ9u3bfZAGAACBo3EPH1+NBc/xMlQAABBwmAIDAMBktqCGw1djwXPcNgAAEHDoAAEAYDKbzSabj1Yv+2qcQEMBBACAyZgCsx63DQAABBw6QAAAmIydoK1HAQQAgMmCbA2Hr8aC55gCAwAAAYcOEAAAJrPZfDgFxlNgXqEDBAAAAg4dIAAATMYiaOtRAAEAYDLeBm89psAAAEDAoQMEAIDZfDgFxnPw3qEDBAAAAo5lHSD7IwsUGhZh1eW9NuFHC6xOwSvlnYdYnYLXIjd+ZHUKXuu61D//vASFBludgtfCO7SyOgWv/SO/0OoUvNI6pZPVKXisuqLc0usHBTUcvhoLnmMKDAAAk/EUmPWoGwEAQMChAwQAgMl4DN56dIAAAAgwK1asUFJSksLCwpSSkqKdO3deMf61115Tjx49FB4eruTkZK1bt87t606nU4sXL1bXrl0VFhamvn37Kjc31y2moqJCs2bNUmJiosLDwzV48GDt27fPLcZms13y+MUvfuGKGTp0aJOvjx8/3uN7QAcIAACTWbkG6O2339asWbO0YsUK3X777Vq5cqVGjhypgoICderUdEF7VlaW0tPTtWrVKg0cOFB79+7V9OnT1apVK40ePVqStGDBAq1fv16rVq1S9+7dtW3bNj3wwAPatWuX+vXrJ0maNm2ajhw5ouzsbMXHx2v9+vUaPny4CgoK1KFDB0lSSUmJ27Xfe+89TZ06VWPHjnU7P336dC1evNj1OTw83KN7INEBAgDAdI0FkK8OT2RmZmrq1KmaNm2aevTooZdfflkJCQnKysq6ZHx2drYeffRRjRs3Tl26dNH48eM1depUvfTSS24x8+fP16hRo9SlSxfNnDlTaWlpWrZsmSTp4sWL2rRpk5YuXaohQ4aoW7duWrRokZKSktyu265dO7djy5YtGjZsmLp06eKWU8uWLd3iYmJiPLoHEgUQAAA3hPLycrfD4XA0iampqVF+fr5GjBjhdn7EiBHatWvXJcd1OBwKCwtzOxceHq69e/fK6XReMeajjxq2MamtrVVdXd0VY77pzJkz+p//+R9NnTq1ydfeeustxcbGqlevXpozZ44qKiouOcaVUAABAGCyxn2AfHVIUkJCgmJiYlxHRkZGk+ueO3dOdXV1iouLczsfFxen0tLSS+aalpamN954Q/n5+TIMQ/v379eaNWvkdDp17tw5V0xmZqaOHz+u+vp65eXlacuWLa4praioKKWmpur555/X6dOnVVdXp/Xr12vPnj1Npr0arV27VlFRUfrhD3/odn7ChAnasGGDtm/froULF2rTpk1NYq4Ga4AAADCZTQ2Ld301liQVFRUpOjradd5ut1/+e75xbcMwLpvPwoULVVpaqttuu02GYSguLk6TJ0/W0qVLFRzcsGnq8uXLNX36dHXv3l02m01du3bVlClT9Nvf/tY1TnZ2th555BF16NBBwcHB6t+/vx566CEdOHDgktdds2aNJkyY0KRrNH36dNe/9+7dWzfffLMGDBigAwcOqH///pf9mb+JDhAAADeA6Ohot+NSBVBsbKyCg4ObdHvOnj3bpCvUKDw8XGvWrNFXX32lL774QoWFhercubOioqIUGxsrSWrbtq3eeecdVVVV6eTJk/rkk08UGRmppKQk1zhdu3bVjh07VFlZqaKiItcU2tdjGu3cuVOffvqppk2b9q0/d//+/RUSEqLjx49/a+zXUQABAGAyW5Bvj6sVGhqqlJQU5eXluZ3Py8vT4MGDr/i9ISEh6tixo4KDg5WTk6N7771XQd94D0dYWJg6dOig2tpabdq0SWPGjGkyTkREhNq3b68LFy5o27Ztl4xZvXq1UlJS1Ldv32/9mY4ePSqn06n27dt/a+zXMQUGAEAAmT17tiZOnKgBAwYoNTVVr7/+ugoLCzVjxgxJUnp6uoqLi117/Rw7dkx79+7VoEGDdOHCBWVmZurIkSNau3ata8w9e/aouLhYt956q4qLi7Vo0SLV19dr3rx5rpht27bJMAwlJyfrs88+09y5c5WcnKwpU6a45VdeXq6NGze6niD7ur/97W966623NGrUKMXGxqqgoEBPP/20+vXrp9tvv92j+0ABBACAyazcB2jcuHE6f/68Fi9erJKSEvXu3Vtbt25VYmKipIa9eAoL//Vi3rq6Oi1btkyffvqpQkJCNGzYMO3atUudO3d2xVRXV2vBggU6ceKEIiMjNWrUKGVnZ+umm25yxZSVlSk9PV2nTp1S69atNXbsWC1ZskQhISFu+eXk5MgwDP3oRz9qkntoaKjef/99LV++XJWVlUpISNA999yjZ5991rUe6WrZDMMwPPqOa1ReXq6YmBhNyHjfL98G71jpn2/39uu3wX/hv2+D/87SlVan4BXeBm+NqpPnrU7BK/76NvgXv3uTysrK3BYON7fG34HH33xQUS1Dvv0brkLFV07dPPn3pv8s/o41QAAAIOAwBQYAgMk8Xbz8bWPBc9w2AAAQcOgAAQBgsoYOkK8WQftkmIDj0W1btGhRk1fQt2vXrrlyAwDghmTly1DRwOMOUK9evfTnP//Z9dnTx84AAACs5nEB1KJFC7o+AABcA5ut4fDVWPCcxzOHx48fV3x8vJKSkjR+/HidOHGiOfICAABoNh51gAYNGqR169bpu9/9rs6cOaMXXnhBgwcP1tGjR9WmTZtLfo/D4ZDD4XB9Li8vv7aMAQDwc7Ygm4Is2gkaDTzqAI0cOVJjx47VLbfcouHDh+t//ud/JMntfSDflJGRoZiYGNeRkJBwbRkDAODnrHoZKv7lmm5bRESEbrnlliu+gj49PV1lZWWuo6io6FouCQAAcM2uaR8gh8Ohv/71r/r+979/2Ri73S673X4tlwEA4IZis/nwZaisgvaKRwXQnDlzNHr0aHXq1Elnz57VCy+8oPLyck2aNKm58gMA4IZj5dvg0cCjAujUqVP60Y9+pHPnzqlt27a67bbbtHv3biUmJjZXfgAAAD7nUQGUk5PTXHkAABAwgoIaDl+NBc9x2wAAQMDhZagAAJiMNUDWowACAMBkFEDWYwoMAAAEHDpAAACYzJc7OLMTtHe4bQAAIODQAQIAwGRBPnwZqq/GCTQUQAAAmIxF0NZjCgwAAAQcOkAAAJiMRdDW47YBAICAQwcIAACT2Ww+XANkYw2QNyiAAAAwGU+BWY8pMAAAEHDoAAEAYDIWQVuP2wYAAAKO6R0gwzAkSc7qKrMv7RPOulqrU/CKs7ba6hS85q/3XJIcX1VYnYJXgpzBVqfgtaBK/83dX/+8VFeUW52CxxyVDTk3/k4yW8VFp88WQVdcdPpknEBjM0z+r3/q1CklJCSYeUkAAC6pqKhIHTt2NO161dXVSkpKUmlpqU/HbdeunT7//HOFhYX5dNwbmekFUH19vU6fPq2oqCifP7pXXl6uhIQEFRUVKTo62qdjNyd/zVsidyv4a96S/+bur3lL5H45hmGooqJC8fHxCgoydzVIdXW1ampqfDpmaGgoxY+HTJ8CCwoKavZqOzo62u/+R5f8N2+J3K3gr3lL/pu7v+YtkfulxMTE+HzMqxEWFkaxch1gETQAAAg4FEAAACDg3FAFkN1u17PPPiu73W51Kh7x17wlcreCv+Yt+W/u/pq3RO7A5Zi+CBoAAMBqN1QHCAAA4GpQAAEAgIBDAQQAAAIOBRAAAAg4FEAAACDgUAABAICAQwEEAAACDgUQAAAIOP8/vPAXT8KB2ZAAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"roi_map = {\n",
" 'tdp0604': (155, 445),\n",
" 'pi3hdx12211': (160, 450),\n",
"}\n",
"foo = list(roi_map.values())[0]\n",
"roi_n = foo[1] - foo[0]\n",
"\n",
"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",
" \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": 88,
"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": 88,
"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": [
"def plot_vector_covar(group_a, group_b,\n",
" do_cal=False,\n",
" vector_method='norm',\n",
" distance_method='corr',\n",
" smooth=None,\n",
" plot_cdf=False,\n",
" covar_out=None,\n",
" cdf_out=None,\n",
" fig_out=None,\n",
" do_lines=False,\n",
" batchlabels=None,\n",
" figsize=(3, 3),\n",
" triangle_delta=False,\n",
" sort_groups=False,\n",
" label_placement='xy',\n",
" plothook=None,\n",
" return_matrix=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_xticklabels([])\n",
" ax.set_yticklabels([])\n",
" if 'x' in label_placement:\n",
" ax.set_xticks(ticks)\n",
" ax.set_xticklabels(labels, rotation=45, ha='left')\n",
" if 'y' in label_placement:\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",
" if plothook:\n",
" plothook(ax)\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=2)\n",
" ax.plot([len(group_a)-0.5, len(group_a)-0.5], [-0.5, len(all_traces)-0.5], '-', color='white', linewidth=2)\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",
" if return_matrix:\n",
" return corr\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": "4eaff3a3-835b-4df9-ab43-2004051f78a2",
"metadata": {},
"source": [
"## Checklist what's in the paper already\n",
"\n",
"- [x] Incorporate environmental runs into baseline\n",
"- [ ] ~Repeat looped patch experiment with multiple runs per sample~\n",
"- [ ] ~Repeat baseline vs. looped patch experiment using TDP0604~\n",
"- [ ] ~Environment sensitivity (RF/EMI): distinguish traces in different environments~\n",
"- [x] Distinguish baseline vs. 30 mm wire soldered to one point\n",
"- [x] Distinguish baseline vs. soldering iron touching one trace\n",
"- [ ] ~Distinguish baseline vs. patched traces~\n",
"- [x] Distinguish baseline vs. modified meshes\n",
"- [x] Measure drift over time\n",
"- [x] Compare drift cases\n",
"- [x] Test circuit sensitivity to grounding (mesh ground touched)\n",
"- [x] Detect when mesh is touched\n",
"- [x] Detect when a trace is probed with oscilloscope\n",
"- [x] Detect short within the same trace\n",
"- [x] Preliminary attack measurements\n",
"- [x] Distinguish mesh layout variants\n",
"- [x] Distinguish specimens with the same layout\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "8590e565-f6a4-4e45-ae5a-cb9314018f77",
"metadata": {},
"source": [
"## Can we distinguish one specimen from other specimens with the same layout?"
]
},
{
"cell_type": "code",
"execution_count": 89,
"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": 89,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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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 = [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": "code",
"execution_count": 90,
"id": "a0f3458f-60cc-4808-bb05-bec6c7226432",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.995906\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.997±0.000312 min: 0.996 max: 0.998\n",
"Cross class: 0.993±0.00153 min: 0.988 max: 0.995\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.016860093382\n",
"EER: 0.0 th: 0.9957236470464688\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 250x200 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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",
"text/plain": [
"<Figure size 250x200 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'copy-interleave-25-07-11-01-p0.3'] if value['info']['serial'] in [5]]\n",
"group_b = [value for value in data_runs[f'copy-interleave-25-07-11-01-p0.3'] if value['info']['serial'] in [1, 2]]\n",
"group_b = sorted(group_b, key=lambda trace: trace['info']['serial'], reverse=True)\n",
"\n",
"batchlabels = ([10, 30, 50], ['Copy 1', 'Copy 2', 'Copy 3'])\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='distinguish_copies_large_run', do_lines=True, smooth=1e-8, figsize=(2.5, 2), batchlabels=batchlabels, label_placement='y')"
]
},
{
"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": 91,
"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 400x200 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 400x200 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Gseeee67NY7/yyissOTmZqdVqi54DtVSI5MaM4d9GDIdiFfUU865dwOLFvOy/bvrhB6B/f/xSW4sjR45gyZIl6Natm8mmPXr0aNchGxsbseVe0V6FQUfwyZMn4ebmZnZ66623AAANDQ3Iz89HTEyM0b5jYmLwzTfftHrsnJwck23GjRuHvLw8NDY2ml1Ht19zx87NzbXmpaCzP0R6Y8YYDzS/Zg1QXMzrJolS3iQvjw8y3XwAaQBXTp8GYwxhYWFt7ua1117DX5vt49ChQxgzZoz+8ciRI+Hg4IC6ujo0NTUhODgY8fHx+uXDhg1DQUGB2eN4enoCAG7cuAGtVgvvZqe8vb29UVVV1er2VVVVLW6j0Whw48YN+Pr6trqObr/mjv3TTz+Zjb85SipEdr6+vL5tZCSvudJhZi7FZ/eaRIIF2evPf/4z5s6dazTP39/f6HF6ejrCwsJw+fJlJCUlYdOmTfokAQAuLi4YMGCAVeE3j40x1ma8LW3TfL4l+23PsZujpEJkN3cuzwNLlwKPPNLBCvxqNXDhAi/534LQ0FAIgoCioiJMmTLF7K68vLzaTAgBAQEIDQ1FaGgo3NzcEBcXh8LCQvTp0wcA//oTGxtrdh/Lly/H8uXL4eXlBUdHR5NWybVr10xaEIZ8fHxa3MbJyQm9evUyu45uv+aOrXsulqI+FWIT3nmHDwYfF8erPbbb+fP8NuhWhtvw9PTEuHHjsGHDBtwxrNR9z61bt9p96NGjR+Phhx9GSkqKfp7u64+5adG95plSqURUVBQyMzON9puZmYmRZq4YHDFihMk2R48exbBhw/T9O62to9uvuWMPHz7cuhfCou5cEdHZH9KaqirGFi5kzJo/DZOzP6mpjDk6Mnb3bqvb/Pe//2U+Pj4sIiKC7d27l12+fJkVFhay9evX68+iBAUFsVWrVrHKykqjSfd329LZH8YYO3DgAFOpVOzq1atWP3/GGNu9ezdTKBRs69atrLCwkCUlJbFu3bqxkpIS/TrLli1jCQkJRs/H1dWV/fGPf2SFhYVs69atTKFQsL179+rXOXXqFHN0dGRr165lRUVFbO3atczJyYnl5ua2eexLly5ZdfaHkgqxayZJJTGRscGD29yuoqKCLVmyhAUFBTGlUsn8/f3ZpEmT2IkTJxhjPKkAMJkWLlzIGGs9qTQ1NbFBgwaxxYsXt/s5bdiwQR9XZGQky8rKMlo+Z84cNnr0aKN5X331FRs6dChTKpUsODiYpaammux3z549bNCgQUyhULCwsDC2b98+i46tVqutSioCY9LeL1pTUwMPDw9UV1fD3d1dykMTO7FzJ7B/P7B3b9vrarVaHD58GAAwYcIEOD76KK8AtXVr5wb5AKmvr8eaNWvw+uuvW1T+gPpUiM1xcQH27ePdI1ZRq/lGNHyprCipEJszaRKvTrB5s5Ubnj/Pr6qjpCIrSirE5igUwPz5wI4dwN27lm8nnDnDi1oPHtx5wZE2UVIhNikxEaiu5gMJNjTwr0NtOnOGj15GRa1lRUmF2KR+/fg1bNOmAVVVvFzC99+b2UCrhXD0aAevnCNioKRCbNZDD/F7gXx9AR8f830sfc6cgVBWxr83EVm1K6mIUciFEEtZ0scS9MUXYEOHUidtJ6ivr8fKlStRX19v0fpWJxXRCrkQYoXERKC2FkhPN13m/PPP8M7LA0tMFOk2Z9IRVieVd955BwsWLEBiYiLCw8Pxz3/+EwEBAUhNTe2M+AgBAISEALNm8dt6mgvIzIRWqQSbMUP6wIgJq+5S1hVyWbZsmdF8c0Vk6uvrjZpNNbpCGps3Uy89scr/PQagEdj/+xCU3+IFlhhjaPzcH49EzsJYd3cUFgInThhv5+cHTJ3Kq0m2ULoVs2cD3bsDR46YFuQePpx/oyouBu5duKvXsyfw/PP89y1b+FkqQ/HxvHh/VhbvdDY0ZAgfrqSqyvTMlrMzsGAB/33nTn4WzNAzzwBBQcDp08B33xkvGzgQeOopvs3OnabP9Q9/4I25vXt5yV5DTz4JDBrEL/fJzr4/v67OdD9mWXg7AmOMsfLycgaAnTp1ymh+SkoKGzhwYIvbJCcnt3gPRbVCwZhSSRNNVk9PCZlMCbXR9OqMTKbRaFhamukmv/kN/1tUq1veZWkpXz5jhumyv/2NLzt40HSZ4S1GXl6my8+c4cuWLjVd9qc/8WW5uabL/Pzu7zc83HT5kSN82erVpsvmzOHLrlxp+bk2NfHlo0aZLtu5ky9LTTWer1BYd7+eVff+VFRUwN/fH9988w1GjBihn5+SkoIdO3bg4sWLJtu01FIJCAige3+IKEzu/XF0lDmirsfa+/Ws+vrTniIyKpXK6CYkXQ6rMawnSEg7abVa3L13SqimpoaSSifQfVYtbX9YlVQMC7lMnTpVPz8zMxOTJ0+2aB+1tbUAeMUsQoj9qK2thYeHR5vrWV1O8uWXX0ZCQgKGDRuGESNGYPPmzSgtLdVXr2qLn58fysrK0L17d6trX9oC3de3srIy+vomEnpNxSfma8oYQ21tLfwsHNje6qQyffp0/Pzzz/qBlh5++GEcPnwYQUFBFm3v4OCAvn37WntYm+Pu7k4fAJHRayo+sV5TS1ooOpIXabJ3VGRKfPSaik/O15Tu/SGEiIqSipVUKhWSk5MtKqtHLEOvqfjkfE3p6w8hRFTUUiGEiIqSCiFEVJRUCCGioqRCCBEVJZUOSElJwciRI+Hq6ooePXrIHY5doiqC4srOzsbEiRPh5+cHQRCwf/9+yWOgpNIBDQ0NmDZtGhYvXix3KHaJqgiK786dOxgyZAg++OAD2WKgU8oi2L59O5KSknDr1i25Q7Erjz32GCIjI42qBoaHh2PKlClYs2aNjJF1DYIgICMjA1OmTJH0uNRSIbLQVRGMiYkxmm+uiiCxD5RUiCxu3LgBrVZrUofH29vbpF4PsS+UVJp58803IQiC2SkvL0/uMLuM5uUvGGN2WRKD3Gd16YOu7oUXXsBzzz1ndp3g4GBpgunC2lNFkNgHSirNeHl5wcvLS+4wujwxqggS20RJpQNKS0vxyy+/oLS0FFqtFgUFBQCAAQMGwM3NTd7g7EBHqwgSU7dv38aVK1f0j4uLi1FQUABPT08EBgZKE4RFNfdJi+bMmdPi8CMnTpyQOzS7sWHDBhYUFMSUSiWLjIxkWVlZcodk106cONHi3+Qc3dgdEqDrVAghoqKzP4QQUVFSIYSIipIKIURUlFQIIaKipEIIERUlFUKIqCipEEJERUmFECIqSiqEEFFRUiGEiIqSCiFEVJRUCCGi+n94nwBxjDJs9gAAAABJRU5ErkJggg==",
"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",
"batchlabels = ([0, 1, 2, 3, 4, 5, 6, 7, 8], ['Layout 1, Copy 1', 'Layout 1, Copy 2', 'Layout 1, Copy 3', 'Layout 1, Copy 4', 'Layout 1, Copy 5', 'Layout 2', 'Layout 3', 'Layout 4', 'Layout 5'])\n",
"def add_numbers(ax, *_args, **_kwargs):\n",
" textparams = {\n",
" 'color': 'white',\n",
" 'fontsize': 20,\n",
" 'ha': 'center',\n",
" 'va': 'center',\n",
" 'bbox': {\n",
" 'ec': 'none',\n",
" 'fc': 'black',\n",
" 'alpha': 0.4,\n",
" 'pad': 0,\n",
" }\n",
" }\n",
" ax.text(2.5, 2.5, '1', **textparams)\n",
" ax.text(7, 2.5, '2', **textparams)\n",
" ax.text(2.5, 7, '3', **textparams)\n",
" ax.text(7, 7, '4', **textparams)\n",
"plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', fig_out='distinguish_layouts', plot_cdf=True, figsize=(4, 2), do_lines=True, label_placement='y', batchlabels=batchlabels, plothook=add_numbers)"
]
},
{
"cell_type": "markdown",
"id": "e22244e4-b6f5-4206-aa36-7f641f37dfbb",
"metadata": {},
"source": [
"#### Same measurement, but show TPD0604 data "
]
},
{
"cell_type": "code",
"execution_count": 92,
"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": 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"
}
],
"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": 93,
"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 0.980253\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.0012 min: 0.982 max: 0.987\n",
"Cross class: 0.57±0.0427 min: 0.506 max: 0.657\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": 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"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_across_traces', 0.3])"
]
},
{
"cell_type": "code",
"execution_count": 94,
"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 0.980253\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.0012 min: 0.982 max: 0.987\n",
"Cross class: 0.444±0.0679 min: 0.364 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": 94,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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LpaWlrt4La0REitIhoNskopFjkUgkLxFNZPbs2QiFQmNqP729vWNqSSPmzp2L2267LZeEAKCqqgpCCJw/fx533nmnm7fCPiIiVbntI3IrHA6juroa7e35i/O1t7dj2bJl48YsX74cFy9exOXLl3P7zp07B13XMX/+fNdlMxERKWqkRmS3edXQ0IBf/vKX2Lt3L959911s2bIFXV1d2LBhuPkej8exdu3a3PmrV6/GrFmz8Pjjj+Ps2bN48803sXXrVjzxxBOum2UAm2ZEyvLj9v2qVatw6dIlbN++Hd3d3ViyZAna2tqwcOFCAEB3dze6urpy58+YMQPt7e3YuHEjampqMGvWLDz66KN49tlnPZXLRESkKKfml9em2Yj6+nrU19ePe6y1tXXMvs9//vNjmnNeuU5EpmnmjT9Ip9MFFUxEhQlpAiGbZGN3bKpx3UeUSCRyz72PRqNjxiYQ0eTSNOdNFa4TUTwezz33PpVKIZlM+nldROTAj87qoLhumhmG4TgQiogmkVOtR6EaETuriRQV0oY3u+OqYCIiUpSuCeg2HdJ2x6YaJiIiRTl1SKvUWc1ERKQoXRve7I6rouBEtGYlUOaxD3tGpKTQYj3LDMk9bK4s4n6Y+miNp+6Xirv9vV9LxXX8/aRUHCA/i75m7zNScf/73GtScV94+jtScZnL46+/48a35v5GKu6nFx7xdP7Q4DXgPfslWa/HGhERBS6kD28THleni4iJiEhVbJoRUeB0OCSiSbuSwjERESmKfUREFDjNoWnGREREvnPsrFaobcZERKQodlYTUeDYR0REgdM1DbpNtrE7NtUwEREpijUiIgpcUWh4m/A4R1YTkd80TZvwCawjx1XBRESkKN41G+XjS4MYKPY2s/1yOiNVViEJ3rLk6qmlKblrvadbbhb9n+c/JBV3+wa5memA/LPoZWfRL9n2sFTcB796WyquaIbcCgoAULGwTCruC4d2ezrftDL4b6+F6IBmN1aI44iIyG+sERFR4EKahpBNtgmxj4iI/KY5NM1sm21TDBMRkaI4oJGIAsc+IiIK3E3ZNDNNE6b56SLk6XTalwsiIndCukNntUJVItc5M5FIIBqN5rZYLObndRGRg5Eakd2mCteXGo/HkUqlclsymfTzuojIwUhntd2mCtdNM8MwYBgeH2BGRP5xmH0PdfIQO6uJVBUKaQiFbPqIsupkIiYiIkVxPSIiCpyua9Bt7ozZHZtqCk5E0ZnFKAt7e5lbyiY//2Uy3lYIGFEWKZaK+7N1h1TczI4/SMV17pXvv9PLyqXiZJ9FLzuLftF3/kUqTmTlVwhLvTwgFfeX8vs8nT+UMQGc8BSjwaFG5OnVgsUaEZGiWCMiosDp+vBmd1wVTEREimKNiIgCx7tmRBQ4Lp5PRIG7KWffE9HUojuMrNZtjk01TEREippOfUQKVd6IaDRN1xw3Gc3NzaisrERJSQmqq6tx9OhRV3HHjh1DUVERvvzlL3suk4mISFEjS8XabV7t378fmzdvxrZt23D69GmsWLECdXV16Orqso1LpVJYu3Yt7r//frn3IhVFRIHToOXunI27SUzy2LFjB9atW4f169ejqqoKO3fuRCwWQ0tLi23ck08+idWrV2Pp0qVS74WJiEhRekhz3IDhZZ1Hb6OXfB5tcHAQJ0+eRG1tbd7+2tpaHD9+fMLrePnll/H++++jsbFR/r1IRxJRoEameNhtABCLxfKWeU4kEuO+Xl9fHyzLQkVFRd7+iooK9PT0jBvz3nvv4emnn8a+fftQVCR/76vgu2YiC2Q9TmzPCvnZ0LKE3OR76ZnbutkvFTcEudn+sjPoAUALh6XiMpfH/2Z1IvssetnPQrbTFgD0kNx3tXbN28MltMyg9zI0+0GLI4eSySQikUhuv9NKq9e/phBi3HIsy8Lq1avx4x//GIsXL/Zw5WPx9j2RotwOaIxEInmJaCKzZ89GKBQaU/vp7e0dU0sCgP7+fpw4cQKnT5/GD37wAwBANpuFEAJFRUU4dOgQVq5c6eq9MBERKepGT/EIh8Oorq5Ge3s7vv3tb+f2t7e345vf/OaY8yORCP7617/m7Wtubsbhw4fx6quvorKy0nXZTEREigoVaQgV2axZbXlvkjY0NGDNmjWoqanB0qVLsXv3bnR1dWHDhg0Ahp/mc+HCBbzyyivQdR1LlizJi7/11ltRUlIyZr8TJiIiRfkxsnrVqlW4dOkStm/fju7ubixZsgRtbW1YuHAhAKC7u9txTJEMJiIiRTmNnpbtpK+vr0d9ff24x1pbW21jm5qa0NTU5LlMJiIiVd2MzzUzTTNvIFQ67e32JBHdWLrmsEKjQrNeXQ+SSCQSeYOiYrGYn9dFRA7cjqxWgetEFI/Hc8+9T6VSSCaTfl4XETnwa/Z9EFw3zQzDcByRSUSTZzqtR8TOaiJF8SkeRBQ4p34glfqImIiIFMXF84kocH4NaAxCwYno/c6rKPW4DkkoJFeWZcnFFUK2w2+B9Q+puBd+9UWpuL4P3pSKA4D4tg+l4r419zdScRULy6TiUi8PSMXJLuUBAL977IBU3OL9yz2db1oZvOGxDKflYBXKQ6wREalK0xxqRArdNmMiIlIUO6uJKHhOgxYVapsxEREpavS61BMdVwUTEZGieNeMiALHKR5EFDi9SIdeNHH7y+7YVMNERKQo9hERUeBGHjltd1wVTEREiuJcMyIKHO+aEVHgHJ9rZnNsqmEiIlLUcNPMrkY0iRdToIITUdXnZqDM8PYyJWWS0+8LIIRcXHFY7tPs+/7vpOIOP/+gVFxHxxWpOAAws8VScT+98IhU3BcO7ZaK+0v5fVJx2jX5J854nUU/IvI/xzydP9CfBhbP9BTDphkRBY4DGokocJrDmtWsERGR7/SQBt2mQ5rLgBCR79hHRESBuymneJimCdM0c/9Pp+XvRBBR4aZTjch1zkwkErnn3kejUcRiMT+vi4gcTKdHTrtORPF4PPfc+1QqhWQy6ed1EZGDkZHVdpsqXDfNDMOAYRh+XgsReTCdmmbsrCZSFGffE1Hg+FwzIgocZ98DEJ/MIr06mPEcaxVlZYuVJjvptUjI1W/NfrnhDVdM7z9PALg2JBcHAIOW3C/s0OA1qTjTkrvWoYzpfNI4tMygVBwgf60DHj9/8/Lw+cLDL2r/tSHbGlH/tSFP1xAkTXh556OcP3+et/CJbrBkMon58+fbnjMwMIDKykr09PQ4vt6cOXPQ2dmJkpKSG3WJvpBORNlsFhcvXkR5efmYtmg6nUYsFkMymUQkErkhF2pnupcXRJnTvbwgyrQrTwiB/v5+zJs3D7qLIdEDAwMYHHSu6YXD4SmfhIACmma6rjtm7kgkMmm/VDdDeUGUOd3LC6LMicqLRqOuX6OkpESJBOOWQjf4iGi6YiIiosD5kogMw0BjY+OkjcSe7uUFUeZ0Ly+IMoN4j6qQ7qwmIrpR2DQjosAxERFR4JiIiChwTEREFDgmIiIKHBMREQWOiYiIAsdERESB+38NlFgmKlJdNQAAAABJRU5ErkJggg==",
"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": 95,
"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 0.980253\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.0012 min: 0.982 max: 0.987\n",
"Cross class: 0.327±0.0386 min: 0.257 max: 0.371\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": 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"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_across_traces', 0.6])"
]
},
{
"cell_type": "code",
"execution_count": 96,
"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 0.980253\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.0012 min: 0.982 max: 0.987\n",
"Cross class: 0.199±0.0329 min: 0.162 max: 0.274\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": 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"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['short_across_traces', 1.0])"
]
},
{
"cell_type": "code",
"execution_count": 97,
"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 0.980253\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.0012 min: 0.982 max: 0.987\n",
"Cross class: 0.698±0.0441 min: 0.635 max: 0.766\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000082\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"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"
}
],
"source": [
"plot_vector_covar(mod_baseline[0.3], mod_modified['open', 0.3])"
]
},
{
"cell_type": "code",
"execution_count": 98,
"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 0.980253\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.0012 min: 0.982 max: 0.987\n",
"Cross class: 0.555±0.044 min: 0.498 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": 98,
"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": 99,
"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 0.980253\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.0012 min: 0.982 max: 0.987\n",
"Cross class: 0.383±0.0893 min: 0.285 max: 0.552\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000011\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 99,
"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": 100,
"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 0.980253\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.0012 min: 0.982 max: 0.987\n",
"Cross class: 0.283±0.0852 min: 0.21 max: 0.462\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": 100,
"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": 101,
"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 0.998737\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.999±0.00023 min: 0.999 max: 1\n",
"Cross class: 0.937±0.0918 min: 0.736 max: 0.999\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.249765370704\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 101,
"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": 102,
"id": "1b0a2d88-8022-4ff7-828a-8651a91514d6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Baseline threshold set at 0.931467\n",
"Within class: 0.999±0.000847 max: 1\n",
"Cross class: 0.864±0.215 max: 1\n",
"Baseline false negative probability: 0.000000000000\n",
"Baseline false positive probability: 0.376108543689\n"
]
},
{
"data": {
"image/png": 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IUzGEmMSYDZzRay6nx3wLS/IkZ/vgg6WOwjXXbB2B/c03/F/MV/yU9QeW5A1nmLmUSm0SzWYUb/2zjmtv6q5PpdgTDkg3EEjFy6wsiI0KA9BIDKUvfdbNo+peQiGpBgtiiu6IUJg5U8ROVJQEz7ZncrLbZfLLzJQaGvfcs+dumCuukP0uWCAbyHXt3/+Wi3ZdnZwHt98ulTGvu04q8159tbQWmDpVxlNdLc/54IM9z1raV1mzRmIeqqrErffww7sXKgUFcj7YbBKf1BEOO0wsZZWVkdotu+PCC2HAADFAPPNMz/rOQiEJQP7lF/Fi3HnnNkJl8WJRxrfeKo2z6uslsCUmBlJTty5Xe9xxsiI47DAJcqmrk+CX3/9eKqZt4zvzeERsWi6hqVN7XpZQRYXEqpSVyffmsQcZ5CngpqzX0Tbmi5kuLU0uUN99J08aO1Z+7BdeCElJZDSu4wjnXHA6SNMqcWghQtj5umCwKDXFPscBK1ZArCsZOdJYxEDnP/cVdO+AupnZs8WSEB/fdotIa+rqpBQ6wP/9X8dWs7GxsuKLjRW/+iOP7NlEk5UViXt49VW55j/8sLh+QP735JNy3d9WWGmapMQ+8YSU9TZNETQvv9yzJr+9wapV4qZobBRPwwMPiPdhd1ixKmPGyHnVEZxOceOBiOG2YLOJWLbbpaDhd9917L07G9OU+kLz58vnmjatlWusuloU+tSpMqGWl8uPKhgkZHNRXOlkVZ6LZcs11ixooGLOKowvvxZxUlIikc1XXy0Tt2lKM6U//lHyfludsFFRItQzMkQQ3Hnnjl2g3cXzz4vFyTBAwySOeqb3fZ7YukI5Ri6XbHa7XGTuuUc+xBlnSGGf55+HkSM5KfFnsDtoMqPwGM0Y6MwLjCL8xNPd/REVHeCA9nmMHg2p6Xa01RK38t+CQ/lrdw+qmwiHIzVVzj57500Ed8Ubb0gMyIABEjTbUTIzZVE5daqUVX/5Zbjsso7v77zzxJqelyfxFWVlMpldd11kEtwVLpdMfDk5IlY++EAKz1133YHhNczLk8nN7xeBf9ttbTs/TFMEMOx53MgJJ8icPH++zFdtEcJ9+0qn79dfl5X6yJG7r+/S1bz5psRlaZpk/IwciRyo776TVubV1VBaimmYrGcA324eyTf141gfzqXJjCKIE0O3oekadptJtN3PAFchR+Uv4/SVX5ATVSlf0u9/Lwd/zRpR4z/+KCdsy4FLSBBX6003SQ2ke++V73hP2l50Bj//LLFG1dUQDpvE2n2ckjqfie5fIL9MLlQul1wkeveWD9HSGKq5WbIJly93U155F70Dn6M57RiNkKGXUmfEU0c8P3xWw2TD2L0/UdGjOGAr2IKsJi68ED7/JEgIO9E0Ur+yGH3oflCfup3Mni0Wh7g4qUDaXrFSVCSLOKs8f2dUEbXGBCIyTj654/t64w1ZgDU3yyr/9ttlAdpevv1WYnIMQ+Jhbrml6y7wgYBYMhoaZPP5xIVgbeGwiC6XS8aQmCjX7ZiYzhtDVZVkqFRXS6G3u++W92sL69fDn/4kY3v99Y4J4NbcfLOUk//NbyQmpS2EQjL+/HypgnvzzXs2hj3hq6/ESgdiADnxRORLfeIJMUGVlRGoqGNm4GheqDqLZcYw6s1YwtgxthjBTeSCrRE25TFNk3nXroXp4yrlwszZ/C7nS5LH9JG4lTlzxKQYGyvqpFUUb36+iKbmZumA/be/ta34XFfg80mNpBkzWuLIDIM+rhLmD7uUBG9pJOc6I0Ny4P/xjy3i69tvJS6toaHVDpubKFtYRE2jgxiznhXmQWCaXO95gYe+PHjnZZEVnUJnz98HwLpw50RHi+v3p9lhKuvteIli4bQPGf9ON17RugHTFGsBwOmnd2xSee01mcDHj++8cudHHilWkP/8R1bGqakda6AIMtnW18sEf/zxHRMqIJaYuDjJMlqwQFxWU6d2LFPINMV6v3GjuN9KS+XzlpZKqEFH64RER8uic+hQ+ZzDh3fMAmQFgVZXS4zKtGltFyoQcQFNmLDnQgVkcl+5Uqxk553Xtngoux1uuEG2778Xwdsd5fiXLhX3D4jQOvFE5Mu+915YsYLGDWX8u/4Mnmy4lCIjkwAO0HTsDqkvEhOjodt0DMMkHDAwgiEMv4+gP0zAsOMPO/GaDlaHcrhj/W+4f8P5HPLLan6fM5Pjjx1DbH2RNNaZNk26AbYUw8nNlfN32jSJ433mmc7p1dUR3nhDvF+NjWJVibM1c0P2+yQYNfKjMAw5AQcMkB9eUhKGISLFquPTu3cktnjt2mjerHKxeWUsDcEo7ATw42ZO8BB45z9KrOxjHNBiBVriVrIdVK4wMdB45bNUOjgf7rOsWCHN4JzOjrlvNm2SiQAkVqUzOe88uU599ZUEJU6d2v5mdR9/LBNcZmakFH8wKGJh0yYJDaivl2uhlQnat+/OYyzGjRMLw913S8LG7beLCT02dtfjKC+XSqzr1olrJb8lVnBX6LrsNyZGJny7XdKF7XZZAYdC4p7x+0VU1NWJxXDNGtk+/FBef/TRO0wQ2SXPPy/Wkbg4mczaU6TM8myAiM7OYNIkGVN5ucSg7qgb847o109EymefSdD044/vXQ9Aaamcu4YhiToXX4ycCH//O761m3l5zWE85L2GEqMXhmZDt2nEesKkxzWQYq+luRnC9SYOgjh0A5sdcDnREj2YHg+hYIBgXR21tSZ1oWhqgzF4TSezag5mXu1ghuVt4oqBszhvpJPo0g3iy9ywYUsRpeHDJd17+nQJb0lI6Fgm4J6Qny9tFfJaEn3smsGgqEKuinpV1IsVaZ+eLj7ivn0xTfFwff21/OvCCyW13fpux46FyWOSOWF8NeVBDyYaBhrrQ7n4Z8+lHbpb0QM4IMVKUZH4RZOT5YKXlm5DWyFxK597j5QZrE+f7h7mXsOqDnrMMTIxtRcr1mXixD2rjbIjNE3cS3V1Us79nntk4jz44La9/qefIjVfbrpJyjEsXiyxDOEwGP4gNDaIHdzvB8OUWSUcIiOqnnFZxRzVv5CBvb1oGelysczKYtigQfz9706mTRPxcfPNIqRap4FWV0v2yrJlslVUbD8+p1NOtcxMqeyani63qanyXURFtW+V6/fLZG6VqJ8/X+JrPvpI+s4cc4xMRLuL3fjf/2Ti0jQ5bu0ROSACuLJSBE5HrVjb4nRK24dPPxXx2VaxAtLIb/ZssWJ9+WWLZWMv4PNJfZOGBsmcuvZa0GbPwnz4H3z2Swa3lj7POqM/BjZsuknvmHpOTplLKKSz2ZuCHoQYDZzOIEM9G+nnLCTVUUuUzU9Qd1FtJlJgpLEi5iBqknpBoJrmygKKvMmU+JPw42RB/SDylqbz8eZV3DhqFofbfpKDUVIiAUhJSRx2mLimnnpKfiMJCZHA9K4mFJISAhs3yvEKh03ibc3cn/GECI+KCjHzxcaKVajFIvLiiyJUNE0amO4oLiprcAx/PHkRd78zBK0lYLcZD7M39eX49evFSqPYJzggY1a+/16yGVJSZKX1f/8HH7wTwB924MTP+qseIfuZWzvt/TqKacoqubJy+62qSqwBNptMatZE17u3XBTbGkhYVibl9E1TXC07Kpy2KwoLRUyYprjed1TBtDMIBmXlZ2VR3HHH7mue5OXJijEQkOeaJnzzZZiN6wI4Q82M1JaRGCgnk2LizVp0M0wzUZSTSomWianbxYRht9Mvppxf5fzIocnrRDw4HDB4MAVZhzJ11jFU+aOJjdW47joRB3PmiNWl9a/LZpOyEEOGyGq/Xz853l0ZI2AYIpg+/lhSZUEExGWXSdbrjoRQebm4ArxeSa648ML2v+8zz8iC4NhjI/2fOoONG2XCt9nglVfaFzD7ySfye4+Lk9vOKGe/K0xTLCo//ijxRI8+Csnff8T6B9/nbwvP42v/4XjxoGsmWe4qrsr5lABufqwZCk4nmsvJob3yOSZ2HqONhdLLzDRldvf55OLQ2AimiRkTy3r3MP7nO4yvfEfgCztprAuyoSmDulA0QdOBhsGAqGL+L3sW12R/hMthyEVw6lQ5GZGFx2uvyXnx17/CEUd07TECqTD9wgtyftbXm9gJcUryXN7LuFZ+TJWVYi4ZO1ZUqtPJzJnSOwkkJmlXvcvKl5Rw8sRaVjdn04wHHYObPE/z96leCTpTdAkqZqUTmDBBzOqVlbICHD8eZn8LJeUmQRy8/qbG357ZgzfYuFFWLitWQEMDtYEoiqIG0pCSS6j/YILp2YSJzFDBYCSQsr5+a1HS0TojKSmyaBg4UG4HDNix1eSLL+T6N2pU+4UKyIrdNCX1t6uECog2uOWWiGC54w6xYu/sItXQIIG+FRUQCposmVWLVrCJ1PIKfIF03DTzG+0FLtDfQdM1sOlyQdQ0sNlo1mNYGh7GD6FD+CEwkbz6FP6+4nT6xZTz64xZTEjegLZ8OdnLl3Of931uyLuOhd4BnPV1NDm5NlJTNTRNxMmoURInMWRI58RutAddF7fVuHGSfvzPf4rV5cknpa3BdddtPWlbotPrlZiXCy5o/3uGQhG3YGdXj+3bV47p2rWSVXPOOW1/7UkniYAqKJCsnCuu6Nyxbct774lQsdvh1ltMYj98jUfub+SZvDsoMXoRxkac3sjvsmYwKKGCj6omEYpPQUvTOdrzExcmfE4vV23L3jRwxYo6czrlINfUbIm61mpqGFg1n4HeOVwY9xozXKfxcfgoop0hipvi2OxNxW+6WNPUm4c3nMmymiymD36VDLNCzIJ/+Qsccgjnny+7/ewzKRsQE9M+C1Z72bhRxEpeXotL1DSJtzfyUPx9cvI2NspnTUyUATmdrF4tCysQl9rumqymHZzBoUM2snlRMl48GNiYGxoLPz3UdR9M0ekckJYVkCzBGTPEn37YYXDDDSYLF0ifoFEs4pfl7vbXBq+vl4C5r76istHNJ81HMzcwlmIyQG+1fLbMIfFxEhjh2vUMFhcn4iM5WdwDyclyPz5eVs41NWIhsYI1Cwt3XAckLS0iXvr1k1TcG26I9AuZOLF9H7euTlbogYCsINt7uDqC1fTtp5/k/mmnSUn/1hk5pinX348/Mmmu9TPMXI6nrpQTjJmczfvMNQ/hn+YVJNvq+Gvqy5S7+1CjJxPQ3dg0g+hwPZmOCnrbS0n2FdFoRvNh9WQ+9h+PzxUPdgcD3ZsZm15MQTiT+cVZ+EJ28pt7URWMJcoV5pCDGrjrbp3Bx+V0T7TiTjAMEZj//rfMAVlZsrC2hOqXX4qQcTrlNjOz/e+xcKGUvYiPl9o2nW05ssaYmSmTVnsO76JFInRtNnlte91bbWX5cgmtME245mqTgQvf4tp/9GVhTT/qicVOiKHuPG4d+hHfNh1CXswICIYYE57Pb9M/p29UuajIQw+V9LUhQ+TH3/rDmqaYWNeuFR/pvHlyv6wMKipo9iTzlv5rPq47kuaAnVW+vtSHoggYDuxaiOGxG3ly8NOMS94oB+T//g/OOQfD1HjoIRGcTqfEY3Wk7cbuCIVEI/3wg1RGrqyUuJw/Z7zBfWlPSLBPba0M4qKL4OmnaWgQS11FhcQw3Xxz277/l29axTOP+vglNJwwdtIppbj/ZLR1a3vU73N/orPn7wNWrKxbJ+ZDp1OC9i67DGZ8EiKMjSiayDv/Vnq9/UTbd/jzz3DllQSKKnjNdy6fGCcTwg6GiWYapLnqSIgJ4tDC2PUwNqcdTQcNsMVFE9svlZhBmcQOySIl00lKSkSgtDc11uuVlcr69fI516/fcWv46moJz0lPFyvEuHHtK+T21luSkjpwoGQR7q3fvFWB9t135X52tjQutNxCU6fCS/8MYTQ2MTy0hPONtziH90jSavC6E/nacyq31d5EeTiJvvZCUu01yDcBRtgkZIBmgk03iLb5GKKvY6R7LVnxDcxsmsyHDUdTEUwkjE6io4ne0TX0z2jmiJxNNBdU8nnJaEKmjRi7l98f/DNHnZ2MdsgEmXAcjr1zkHbDunXynVdWRgrxZWZK6mhDA1x+uSSMdIRHHpGYl1NOke+ls/H5JO7G5+tYmvy0aeJymDJFrgGdTW2tTKjV1TDlKJOM1f/j7tf7U+WNohkPCdRyWPwqTsxdzafa6YTsLmLL87gq8yOOSF4J2dmYZ59D1bDJbC5xUFUl+2poEGODzSbXhF69RGRmZrYEd4fDEqj06aeS2lNeDiUlFNhzeS78O5bU51IYTGNzIAOf4cA0NVJdtdzX7yV+kz1bzs1jjoGrryakObjvPglGd7tlDTa4kys6vP66uPJWrhSNFQ5K6vXSrJOJchuy+mpulg+5cCFmbBzTp8tCJSND4lzamoW36Acv006az9cN4/HjxoWP+YknMGL2092THnYAoMRKJ2Ga4pffvFluf/oJnngkSE2DDR2De133cUvln9tWtOKzz+Cqqyhpjuc+35/Z5BoEoSAjbSs5RZvBqOB8onSfXGkSEsTEYRXJCIflSmNFUjoc4lM5+mixv3ZS1bGmJkkA2LBBJqr8fAlOq6+P1FcCWUGdcIJYWXYlkgIBEXh1deLb7o5mcdv29hk9GooKTT593w/NzRxpzOIh7Sb6aJup86Tznv0CvvBNptkWR6nZi82BXjj1ECNiN+IlivqQB3/YQdDQ8QVt+EJ2bGYYTIMwNkKmDSdBYu3NBG1ugnYPyY56Umw1nNlrLhf1/YGkKQezMeogHns9lQ15GhgGg2OKuKT3N4xILZUDPGqUbH36dOuqrrZWApatXlBDhkjwcU6OZMx0NN35ootESDz4oLiSuoKnn5ZqtkceKavz9mAtVDRNAkpzcjpvXIYhwm/xYsjKNEnYvJTXv00nEJBMlGytkKHJ5fQboLPYPh6KiznEsZCr+3xGbL9UFo3/Az/WDeOXxVq7yuBnZsopNWmSnGJ6WYkEKs2YASUlmEXFfG47lRebLqDaH8XqwADqw1GETBtRNj8X9/qKRwc+iz3GLQV1br2VgCeeu+6StOvoaAkU7qzGh4sXi2hcuVJEWFWliQs//864iXOyfpYLc02NvPE998Af/8g338jv3W6X+kvtGYvPBxcOX8Z3GzKoIgkdg4dj7uJP0+LkAqbodJRY6UQ++ECy+IYMkWDDG/9ksHIlmMAwVrD0wS/R//rn3e/kuuvI82YwLTSVOlsycYEKTtZmstnRj4XGaAqC6YSDBp5wE+mUMkDfwKjodRzav5KclGa0xpZKRi3BnHg8cj8+XiIUTzpJllGdyIK5Qa680qSmGvr2DlFR56S+yYbDoeF2i5465xyZeHaUwmsVuEpJkeC47qrk2tAgAYGffAKrVoQpKTLQjDCjWcSD+i301ouZ5z6Sd0JniQvH6SAhNoyzVwJfrutHwHSQm6sRl6ATCMhFzes18TaZNNYbBPwGoYBBKGASMjQ0TKJoohdlJGu1hKNi8SZlkkAdScFSTkxdxBnpP5M0aSjvR/+Gd2ZE4Sutg/o6xkat5pyMHxkeu0k0SmyszOYHHSTbgAF73fJiZav8+KPEtAwZIhNCRxs2/vCDuARTUyVbo6u0mCU47Hb5Dbe3j9X06fKZDztM3DWdxZtvSr0Qmw3MgkJ+XhYFwSBJVJGulROd5CT5oHSqfNHohZu4POsLjspcy4wB1/JZ6Thq6yM51boui4jUVLF4Wm7fcFi+t5IS6VS+TfsfUlMlVfvUU8FdUyKFimbPhuJiistsPGL+iZWN2awP5FAaTsUfdmDXw4yOXcebB91HdnKzXG+mTcOXlsO0aXJuREeLwDjooD07RuXl8t2tXWtZd000I8ykmCV8m/kbNL9PhEowKAps1izKq+1bgr4vuUR6l7WXv/16M5+81cgqczAmGqc7ZvLRKS9EikwpOhUlVjqR6mrJhDMMcWNcfz18NTNMGJ0omvgq81Imrnpp5/m8M2bAVVexqSmFm4P30EQ0qf4idIfGz8YEioJpBE07hilXbM000c0QOgY2wjgIkmBrYJCngHHJGzkpawljnCuwxXjkiqRpkW3sWLkCjR3bsSIR1dWEFy/j+8/q+HR2LF+u7UupP4EERxODoosBCGguKm29KA8mENBcaJpGYqK87Z/+FLG+tLZKXXYZnHVWR45+51FSAjdeUceXX+s0BxwkUcUoFuPVY8gnF68ejcNuEBuv4UqKoc7nwufTtlSFtdlkIthSCbSllonTKQav7GwRZYEGH5sXVlJX6qXO66DJ8BBDI9E00eBIIhCVQLzDS0K4khNSF3FW+lyyxmXw36hL+WJZBuEGL9TXk6tv4jTnFxwRuxi3LRj5IE6nRI9a4mXIkK5PWUGCuKdMEatbRoYsyDtqbbBEwDnnSCxRV/LXv8Lq1VJb46KL2vfaggJJ1TVNcVvtriFjW7CsBYEAVObVU7AxhC3o5xDm4rdF4UtIxzWoD/bqCuIbC/lLv/fZnDWR171n0xx2EWw5Ffr0EfEVHy+nREKCeEIGDZIg9m0FYFOTxMjMmycWYquKa0KCZHMddxzYN6yR1cXatYQ2FfF6/Wm86z+VCm8M68L9aAy50TWTNGct9/d/gQv6zkOP9sDNN9M0ZCx33y1WEKdT4tvGjevYMWpullT4FSvEBV1TA431BjF6E3PTzmBwep3E3FRVyUF44w3MI4/ittvEwzV0qIjhjlwC33jZz7NXLmFuYDQh7GRpxRQOPFpOIhW30ukosbIDwuEwwWBwp//fFU8/LT/0E06QSe/Ff4VobNLRMThZm8nDl6/esZ35p59g6lSqmtw8FLqBulAMnnA9pWSwPtwPn+HAppnY9RAuPYjeUiQ7bGoEwjZCho0wNjRM7ISxaWEcephkez2jEvM5PWM+YzNK0Txu+eFaP6akJPG5jBu3pZOcw+HA1jqK0TQlAm31ali2DHPpMuYsS+S1wqMo9SdimBpL6nPx6H5+m/oJ48I/ozc2YIQMvKaLMiOVbziG+dohNDniwWbD4bZz7PE6N90kE/wdd4jr4JVX9sp8ulMKCuC235Wz4Acfjc06o8xf+APP87Z+Id9zBD5bNLhduOI91DXaCAQksM9ulwtvc7McrujoSOE1t1uMW1FRsul6JNZx5Ej5/D98Us2iGSXUFnupC0VTTywOgoRtTvyOWNA1os0mstxVHJf6C4eN9rEy50TmbMgiENDANHCFmjg0fRNHRc1jVO0s7A01W384TZOZ66CDZKYaOFAUYydXNJszRyaA9etlMkxPFxdOe415TU0SSxIMihupJRu2y7BKEMTFSf+o9sZ2PfaYZBSNGiWehj2htlYEfEUFbFjpo6HMizPYxOW8yArbSMoSh+BPyyatYQP9bJs4p/dc3o79HXlmX6qrNUIhKc6amLjrrzcxUaxBJ5yw4+MbCEgxvrfflusZiND54x9h5EEhCfR6+20oK2NhXiKPBK6h1BfPquAAasOxhE2dGLuPU5Lmcsvg9xmaUAJXXIH/+NO4/wGNBQsiTSJ3l4WzLT6fBOv+8oucaw4HrF9nYjOCXJ34Gv/o/5wE1dbUyA/01FPh3//m4080XnhBjs+TT25dy6g9LF8Of5mygFmVB+HHgxM/jan9ccz/8YCqq7W3UGKlFaZpUlpaSm1tbYffw++XmAddl8mquhqCQTkkNsKk6VU4U+O3zjn1eqG6WjJxSCBs2sA0CWEnhB0TCdfUNRObbqJp4lrCNCVLxwQDDbPF4mJ9AWZLkKeGKSJGM4i2+4hxBtHteqTsqoXN1mJvNkkoLSV97Vq08nKZwX0+TBOW1OfycsGx5HnTMTzR2KLduAMNLN6ciC0c4CBtNQGcW0aAaeIwAvRlI1kUslnryyxtCqVaOtjtODx2YhPtJKQ4uORSrUsCKNvKxnyT2/9vM2uXeKlo9DDUXMkd2t18aj+TxZ7DMFPTSBndm6UbYigqEpESHS1m8qws8e1XV0fiNO6/X66RXq/ow/x8qQK7du3WXWmjoiQ2YOxYKCsK8u3jy9m4qIomv4NaM54GYvHqHsK6E1OT78euh0lyNjE0o5ak4ZkUh1LxerUtp1VcnMnhw+uYELeaEd55ONcuj8w2rXG5RLBYkZWWj8DaLBNRGwkGJQi2vFysIfPni8UsJ0fiAiyPZFuwXIM5ORIL0tWL1XBY+vWVl7fqtdMOysrks4dCe9bPyjSlmvHcubBkUYhwbSPOYCP3mFNZYT+Y7xNPpcqZyaDwKg6OWU92rwDvmedQXBtFfb18lSkpcryys0WXpqfLsQ+HZe7euFHORa838r6jRknq7o4CX0Mhiel5661ITNdJJ4kl2VOxWb6o5cupyqvj4YpLWBIexnpvJiVGOkHDhkMPMywqn7Mz5vKbPnPIOG0coSuu5LFnnFuaU55xhljP2uICbmwUd+OSJeLCS0qCpUtNjECY3o5SVuachAt/pH5DdjZ88gkF7oHccIOIsD/+cc8apPr9cMGYtcxZmUxNS9zK+3GXcsaTx3V+6W2FEiutKSkpoba2lrS0NKKiotA6cHU0DMmUCYflglFVBY0NZovgMImjjt7OCrS0NBEs9fVQW0s4bFJmphEwJcYgYDoI4sBEQ9dMXC7QWpZI4bC8lxxpqw2ZgWYYImAMeTRs6hhoWHJFQ5SNXTOItvlJjPLjidbQgwH55ZkyzuZwmPKaGhJ++omMloYsq7x9eaHqbOY1DqWRWHxeg7iGIlK9BawO9qeRaHpTRKZegqZpROvNoOk06bGYNpsMyO8H0yCZKjyal585lAKzN/VmLDYdJg6u5No/OTjh4tS9Xj9kw+ogUy/aQHGej4K6OAaZazmTD5nnPJzyuP6E+/Sn3p3K+vUapikCY9QoqRty6KGRhVRRkdTbqKuT7JfcXJnAo6JEvMbFycRRVyeT0Y8/yjlikZYmK8x+OSGWP/sdsz5rosFrI2jYqDUT8GoearRE/KYL07S8ehoeRxBPnAMzOoaQ5kCz6TidGna7nGYDB8LBA5sZHpNPr5o1OEo24yjMxxFowqGHsbdY4hxaaKu/NV2TQce1pMVbm/WYVYCnZXb8+GOJOUpKkhosTU3i8quuliDrv/2t7aLj1lvFVN/RmIKOYI0/NVXG397YKauEwfDhIlg6IrA+/1xW/AvmGxgNjXgC9TzB9Zh2Bw/E3UtBOIvhjlUcnriCoqjBfOcdS3WtjdRU0Z2DBkkZ/iOOkK9lZ4RCMtl/842ch9Z1Zdw4EQ07Mg40N0v6+IwZcj81VcoVjBxuSKDXv/9NuLSCN9eM4e3AWZT641kfyiVo2AlrNvq5ixgQVcIJGcu4YHIJSXffwH8+S+Kdd2R/ffqIRWnIkJ2Pe906sdQVFkqWYmqqGH3ra8O48PNB0uUc23eDqE6r7PHVVxO6dRo33SSvHzNG0uH3VAD/6TeVfPB6E5vN3oDGr13v8drv5sgXqOhUlFhpIRwOs3btWtLS0khucYd0FCs10OORhWtRkUkoJP9zEqC3XkySvSVvMBwmbGoUk4XPcIAJftOJr6XThN1mEh2j05YO5KYp1iEzbIJpoBshwkGToGEjjN7Sy0LfYmnRNQOXHiLWHSIq3oHTCTYziGYa1DTWU1xSwTdvJfLN0gxW57vwNQbRvM30ChWTGS7ATgidMGvMwcRpDTwYfSeDootJ0aoIGjZCho6dEHVGLOvN/vyij+Vn7wgaAi4pQ49JMVmsN8Rx7tYDxDj8DOlVwyXnNHHKdf2J7rOLq20nsWZRI3dcvIGaEj+FdTH0MTeRTQEVzkwCGX2oTh3M5hInwaBc3A49VOIbDjlErCVLlog1Zd06uZgXFckWFbXzehJut7iARo8WEbN0qbghWq90Bw+GI0dU45kzk7lfNjC/MhcjZGCa0GBGU00SjWY0XtODgS6p7YBDC+FxhNAdOgHNSdB0RAJoNA2nA2KiDWKiIcYdJMruRw8FwR+AYAACQVFYoSA2jBbxEsKph0h11pPhqibDXcOQmEKGxWzCZQtBRgbNYw7nd1+eR33Qs5VlYvVqiUsIhdre4biyUuKXTFMCa9PS9uw7biuBgFRgrq7u2Mq7slJeHwpJem5b2zhYFBVJYb2ffjJprvYRE6zhEeNPTHbO5Zzoz1kf6kuubTOHJqxmVnASpcEUdJs0EDzxRBHPgwa17z1B5vW33hLhYhhiYD3rLInf2VGzyaVLxTVXXi6n1llniVXGUVEs/1i6lMVro3i4/P8oNnqx1DeQoOkgbNpIctQzPDofl0tjSvZ6znn4MApcA3jySVm7gVgZjz1WfiOxsXI6rlkj1rZZs0QEFxWJCycvD8pKDbRQkP+LfpfnBz4SaWwVDsuX8O67vP5VGm+9Jdrl6ae3eL33iOeeNXn2+lWsCA4ijM4APZ91R/5O2jYrOhUlVlrw+Xzk5+fTt29fPO2xVe+AUEjMrKYpP6aCAmhqksOiYxCFl3R7JbFaAz7NQ4WZSjCsgWkSMJ14EbOCwy5CxTqiUVGymLUa0Jmm/BYDLYaRQCCyRb4FE0JhQoEwoRCETZu4jIgsKXQM7JqBrpuyktZ0QqaP0tLN/O2GDIryQAsFSTXLGc98xmiLGcJqhjo38KHrAj7kDDKj6xmSWEq+YzAVpBKyuyBsgLcZV2M1Wf48Btg3MpSV+Lzwk38MC4MjWRwehmHaGOlcSY2ZQEU4GT8uEhxNDIwt5ZKjCznjxv44J4zqEj/A8i+KuOuqUpprvFTWOkmiCi8eotwmodz+FNGbyipRib16iWtn3DgpJPbVV2yXDqppYlWYN0++gxNPlMmjuVlM13V1W7xqWzF0qIQOOZ2yyl20KPIdahoMyWpgSOMCbCuWUlEJK+p6U+mLBdMgiJM6I4aacBw1JBDCgYFlVROBbNMgrOmEWwSNZW9DAx0Ttx4gyuYjxuEn1hUgyh1Gt9mg9SE3YYs5x24Dmx230cSRnvmckfYTc6qG8VbJZDL7OHn6g0zsmRGF8cUXEVfO1Km773b93nsSvzR8uATZ7k2sMvrJyVIzqT2doUFe+8kn8p0+8EDbT9tQSIJFP/oISguDxIZquNO4gz84XuLXCTP41nsonlAjfaLKWGsMxHC6iYrS+NWvRCB1RkxPSYnE61hFEtPSxCU2Zsz2z/X5pE/WF1/I/X79JBwvu7cpB+DVV6ku8vKPVSezKHwwy739qDXicWhBYmxeBkcV4HaBZtMYd1wSh1w0gOXLJebJMCLv43CwJVg4HBZ3WyAgXsuCAijYbBD0hhjszOPHPhcRbTbKD66mRp7097+zfMi5W4rqdWZphFmz4LazVjK/th9BXMTRwJqc40jP/2nvdrc8AFBipQVLrOTm5uLuBB9Eaam4S2Nj5YdXVmoSbml8ZSNMlO5Ds9taenOEsRHCa3paCRWIjhGXg90uE2VbCxYZBlvSZv1+uQ0EANPACITw+yFk2rYSLBpmy/Qmj5r4qKjcyD+uDJG+eQnH8C39yKfRnkCpuw+rYiewODiMH2uGEsBJfBw4o+zY7NqWYFO3OxJU6sQvJqfKSvB66esoorYOfm4aiaHpDLWtI2hz4cZHkZlBRSgJn+EixV7LyPiN/OGQJUy+8iC0445t/+yxExY9N4/77jHwNwQINngx0Ckgm94xNTT3PYiSxniam2WVeeKJ4s748EOJw2gtIEeMEJfQ8OEiTpubJf31008lfuDWW0XAJCfLhdc0ZTX4yy8iSlr3/HG55EI6aZKYub/9Vp67BdPA3lRPrpZPRv1a3A0VmIEggYBJIKBR5Ysi35fJxlBvSklrKQeub/mudQxcBHAQAl0jYDoxYUvANkhslUfzkW6voK+zmIM8+YyOW0/f2GpqHGmUhHtR6EthSWM/Kt29ISWVsAGlG/2kh4u4deA7HJ6+XswoZ5yxZba2apnExopw2VXBwGuvFcF/zTUS/Lk3CQQk9qSiQqxA7e0YXF0t4iEQkADQHU30O+LddyUOY9WKMLFGHX8IP8u9jrt4MnEadzb8iUBAI8nRgN+dAC4XI0eKt6Gzi6uB1KR87rlIGvOxx4p7c0fB73PnSshKQ4P87i+/XCxSWmkJPP44xpJlvL18GG9UnUBeOIe8QG9cBIjVGxkTvZqQIwrdboO0NKIPymHIUJ36ejn/q6vlt2Fdy0xTFmwej1h18vIMmuvC9LJV8kHKFYxJ3AihEKHicsrdOfimnETzrffywD/s1NZKjbobbui841RSAv93eB4/5KXjxY2DEB/EX8opP9/RNV/MAYwSKy10tljx+UT1gwiNggKptwEyGdgJ4dSC2Anhxk+NmRBx/dghOlou8C6XLA72tO5IOCwuBtlMmhvDBHwmYUNcQxaWmNJopqoyn39fWULFZpOww02DM5laEqgLxxKwufHjwhuwYbNpZGRIaqOVAWO3b/FyEQzK54iKAr/fpKmsEUdNOUs3JRAydCbZ5pJmFFNo9Eaz2wg6onAZXorDqZSGUgkZOr1slRyVsJjrx/1I7kUTJbJ/RwVb2oLPx8+3f8L9r/Um1ODF3VxNOank0Y+chHqaMgZSWS9un5gYmThDIbYEAoJYlk88UYTKypURN1BxsZioQyExlYdCsuK0Ygfi4yWOZeDAyKZpUqH166+3rgw8cKBc9IcOldTMhQvl1jKVA3Jwm5owmprB58cRaibkDdHgtREKmoSCJt6Qk4ZwFI1mFCHT3uIE1HDhx40XnTAB3ISwEcSxpc+U3iJgRcQaeDQfudomJtgWcIZjBoc5F7EqehwfmmfwX+9plGm9SE0xee/IJxlcMkvGN3asLGWjo7eUQ9+wQcTd3Xfv2OpgNRe026WkR1vqKHY2P/0kMSd2uwir9va5+te/xEIyeLC0c9iddaWkRNwoP/5o4g42cqzxBW/zK/4dcxXX+x/EF7QR5/Bii/aQnOHkvPPg9tu7th6RzyeVnT/9VERCUpKIxx1ZxaqrJRvKam45frxk+MTHmbKDV14hr8DBs2uO5vvgeJZ7BxLChkfzM9K5isPjl1Hk6EulO3ur+kCGIae4FfuvaXI+bNgAeRsMGuvCpNmquM3zKJPT1/J93QiW1vRmk5GNGROHefAo1pdEU1Mj47/2WtHPHelbtiNMEy46tpQZ33qoIxYdgz95nufhx52iWBWdhhIrLXS2WIHIxBUXJz+60lJTyp1g4iCES/OjadBseAi1TBB2O0RFSdM6j0dW6l3RRdcSL3U1YepqDAJBHcPUWq2vfVRWbuSGP2ayaZMHdA2bXUO369gcOjabRiAQyYZNTo7Un3O5ImIFZHJtfVaEQiLeSooNbOEAw6LyifZWYnp9YBj4TDdR7jBBVwxOw0dhII3SQDKaESZTL+G3KZ9yybAFRJ91vESxtvXKY5owbx4zp/3Is4sPxaipJy1YyDJGsJkc0lNCeBMyaWjSCYflc/32tyJSmprksx51FJx+usSqfPutiIdtz3hNk5TQwkJJqXS3FPG04pa2JSEhIlzsdrG0LFkSCXiMjpYCxEcdJdfx8nJZ+c6bJ/EgeXliGree3/Jh0TCJdoXx2APEu3zEmvUEGgNU1Tup9bsJhXWCplRYTtaqiNWaMEwNv+nEa7ppIgqf6caHe0uwt2WBsxEiiRqO5Wsu5nXu025jvTaI3AwvKeNzuemIuRzywyNiXsjOlmjGtDQKC2USCwRkpX7GGdsfj1deETdQZxdYaw+mKVaRhQtFcFiZXW2ltlYsDIGApOXvqo6I1Xvq+edNws1+BodW8Ag38pL9D3ysn0Fz0IFDC5OTY5I1IIqLL5Zkk71VymPlSglDKZbySRx9tMzD24pI05QA5VdekXM9Pl6sGOPGIWrsiScwlyzl61VZ/LP8DOb6x1ARTkQDEvVaDnMu5NDMzbhS4igfexJlwSSamuT616uXXGM2bJDfXX1tmOaGEGlaJaP1pSRHeSkLJkq8lWFIeYFhA6mJ7s3q1fLbOOgg+S1pmgSxX3FFS1uBPeTuaUGev7eSElPcnofaF/H9ZS+hP//snu9csQUlVlroCrFiWVc0TawjmzdL7IppRszuEmaqoQF2B7jdGrouVoiMDJnw/X6ZLFsaom6p72azyQJk3rw5PPPMQyxZspDS0hI++OADzmxHIxbTlP3X1Zo0Nhgt7+GnrHwjN93Uh6JiyYxyu2ViTUiQMaxbJxfwUaN27Z6NiZH5KiFBXCSrV8tka81jmCY1ZQEc3npim0rQwwHChk4UXuJcPpzRTkI2J+uae1Pt8+AyfAzS13Fzyksc2y8P7YTjJU926NAdX8HDYZg/n8A7H/Hil72ZUTASGhroa2zga46hmhRiUt2Y0bE0e8WNNX68GAV+/ll20b+/TKxLlkjdiUAgsvusrIgbKDtbvjenU57zhz+IKf3ii6UYXmlppEXBunVSyKq1f771d+L3y/O93oiVymaT4+nxyK1VC8QKikxLkwuwzRapStp6rBZ+P1RUmJSXifXFDBnEuv2kRnkxwiaBIAQCGoGQRsCw4w/aCBg2AmEbwbCNsKlvyXCTOKxmTmQmw2yrme88HG3COG78fRNHfXGLLLtTUyX4pFcvPv8cnnlGzp1HHtm6u3Y4LJN8VVXHmmF2JuXlIqwaG+W7b29X5ZdfhvffF4H5yCM7Fxdffy3BxGXFIWLC9RzNN9ToySx3jKIuGI1bD9CvH2QOiuXcc/euULHw+6Wys9UVPTFRYlkOOWT7527cKGnqmzbJ/SlT5PMlxLdYWV59lUBFHV+uyeEf9b9nkXcIfpyARiwNpDpqSYvxknlwCrGDMmhq0ti4UfYbDJoEvUGCzSGS9Drshp/B7k3YNAO30cwk8wfGxa1lyK/HUHrp35h6h04oJEX++vSRYz1vnowrKUmMfnvaVPH11+Gey/JYF8jBRCdX38TMCXcw8Kd/79mOFVuhxEoLXSFWQCaLxsZIcKz84CRrR0O6MksLHw2HIzIZ9eq1pfzKdsGY2zJ79ucsWvQDBx00hmuvPYfnnvuAU089E6czEjvidLbtAmeZXRsbfWzenE9DQy42m5uoKBmb3S63TzwhouOUU8Snb7dHGhnW1soEXVQkEfyta4qkpcln++47ec2RR0rp7eZmscCUl4SpKW7G7mvEZfrAhAxKSHA2kRwfotTVhzV1GXi9JlFmM0fYfuSWhGcZmt0os9748aIYPB5544ICWLKE5RtjeHbDcWyuS4BAgBwzn084HZ8ehZ4YjzvGgdcrq8FTT5XPaBWinDRJxrdoUeRzZGWJ//vII3edqTJrllQzdjolBiA1dev/BwJiGVm3Tuqv5OWJQLEEhmnKcamoiCQ3gIwrKkr2N2iQXHAPOkhEsVUuxQrCrq0Vy0tZmfxdXy+b3y/n2C+/iIXIMGSfkyfLZ2pJHtqyBQJyHMrKZKzikjIIhyOBvOOZxyTtR1bqI9EPGswtDyZx6Id/k5MhLQ2mT8dMTePee2XS6NMn0p8F5LF77hHB9eqr3d+n0RoPiDXh9NPb/tq6OhE4Pp+4bHY0sdfUyHm0dIm0dTiIlWRpJaxxDMOvuQmZNjxJHoaP83DmmTLpd2dx1NWr5fuy3JVHHSW1aba1UAQC8v198glbUv0twW4rFysLS5cSKq3k3eLDeKTmt6z3Z+PHiYmOkwAOLYTutLcE62mEgwZa0A9hA80IEac1MMiRz4jYTZzk+JpDvf+TkgfHHkvJHc/xl2lSd+bwwyVw2Tpua9fCo4+K5dPhkP8demjHj8ncuXDNKXksqe5NGBvJWg3Ppt/NuUWPq0q2nYgSKy10lVgJBmUCN02pr2G5QKzVtOXicTplcoiLE8VfURGZ5K2JKSoq8jwrEygYlH1aWUD9+mk8/fQHHHfcmVuNw2bbuorq7iaBXR2PzZvFPdLUJBefigqZwFqn3Vo4HCK+bDYRbjabTHI+n7z2rrtkcs3LkxiPZctk8tyYZ1C+qZlwk4+QqeM0AwzQ8kh21NE7oZFfPBPZWJNA2Bcgzqxnsv0HznF+ysFR68iIrkdz2KkOx7OiOZev6g9hsX8oGAaOYBMhbMzjEEIOD8TGEhOr4/OJALnkEhlfcbEc46ysiPnbEi5nnCGugbZch0xTXBnLl8sF8bbb2vaaqioRLT5fJEDa6ZTHrNgY67zaEZomZnNLHKamym3r+63dGnl5EltRWCiP//GPUlZ9V3i9ktoqqaQGRlgCeOOoYwLz0TVw9cvk/teyGfzKLVsJljpXGldfLRP6RRfJfkDiWObPl1TYyy7b/bHaG1j9eUDOj3POafsc9OqrEjibmyuuFE2LBFh//70EyC7+xcQ0DNIo53ztHapdmRS6+7OquQ+mJ5qho1z86ldipesJc18gIMfj/fflsyQkSEDyxInbj2/NGhHp69fL/awsES2TJppoMz4Tn1FjI6GSCj5pOJJ/lp1BqTeeejOGAC5shHARwNRteDUPAcOJhkkvvYLT3V/yq/7zGdb4s6hvmw2OOILqvz/HTQ8kU1Ym8WIPPMB2dZv8fjnff/5ZrqfTpokltSOUl8O5E4v4eUMKAexE4ePmmKeZtuHSvZdzfwCgxEoLO5ycLVv8HlJVJSsoq5FYOCyTQuvAMV2P5P1XVUHY7kLTNeLjxeTaVn+5pmm8/fYHnHjimVtSmn2+7V0NVp+a6Gj5IW/rxml9PBwON3l5MuGuWCGm4M2bZVzb9kCJjY2kGjY2bj2ZGoZ87sJCeb9x4+RzTZiwtRcnEBDB8vXX8PEHYTav8xNs8uMLO/DgZaC2nlx7AcnxIWY5T6C8OQozECLGqCdZryVeq8Oj+SUDRtfwBzQa/Q7izRo2k0OFlobfGY8zxomjpXDakCGyCv74Yzn+dXVbH5tjj5UxZma277sHERXXXy/f+003SbGuzsDnk0mgsFDES3GxCMLWlpmdoWkiWNLTIyLG6ZRsnTVr5P9HHy1CwopB2nZbvFiyV3RdhNjzz4YpKpLv2YOXTIrI1orI7B/Fo58NIuUft8gg09Ph/vuZsyKZhx6SfT3xhBzryy+Xc+a55zovCHJPMU0J9LUKl40bJ9aEtpRpb2gQ0dXcLJlFpimp6SUlIvZ/+gn8PoMEapnJiaxyj+Fd98WsCeRSa0siKdPD5ZdLYHJPECqtWbtWrCxWIsGgQdI7aMyYrcdqGJLe/J//RPoM9esnAvWQPqXoTz4uFxefD1/Qxqz6MXxTOJg1tWnUBGMoJZ164tAxSNJqOMXxJVemvEu/pDq5sAYCchIefTTldz/HtIfjttRgeeCBnTelDIfFwjJ7tizkHnwQ+vZt/3EwTTjn2Fq++NZBM27sGJzj+ow333OinXJy+3eo2CFKrLSwQ7Hi88F55+3x+5otuwqH5Tfldkv5inBYaqPpLfW6/IGImb/m+Xfo1cfd7v4kmqZtF7Niaa7mZtl8vq1FhKbJhOR0Riw9gYC4gT79NJfVq91bNFswKHEbmiYuoCOPFCtDRoZMfq2zikOhiMvAKpw2a5asyJOTI6ud1FR572HDZNXV2occCMBnn8FTTxgsXxQg2BzAF3IQRRP9yOcQfT66y8aP+hFU21JpDrswwqAZYWxhP27DS6xZi4sApaTTaE8g5IklOkZ82ampIh5+9SupqbFpk7iz+vSRMU2YIFYkq+liR3n9dSm61Za03T3Fcv2Ul8tWVhaxfln3dyVmiovFCGKtmgcM2F7MmmbEdTRhgkxSmgaPPmKwYG4Yf1DHgZ846hmkbWDsCD8PzBiJ685bRE317o05/X7ueSKe+fNFLI4YIYJg5EgRQT0J0xQh98IL8huwBNqECRLPZJ37Xq+I9IYGmcQ3bhQBPG+enO/Wue10SuzSiuUGrnAzL3IFua5i7rHfSY2jF2sCudhiPZx7rsajj3a/O2xnBIPw3/9Ko2HrGjF4sGSxTZq0tUWjuVkWOh98ELHC9uoFp51qcmz4C6Lffgm8XvxBne/tR/HfkiNYV5lAuL4Zj7+W421fc0HcTLISm+VCaflFnU64+mrWnflX7p1uo7pasu/uv3/3/ahCIbGqLFsmC5HHH9/eCtMWbr0pxHMPNVBDHDomhzvm8foNC+j94HXt35lihyix0kJXihUQUeLzyq2mgcsJug2p2RZqiWNBRIzTCfYP3pGmg+1kR2JlW6xMoKYmuYDsKEslHPZRVpbPK6/kUlnpJjpaYiLKy2WSGjNGgujas9r73//EzN/YEl5ipVKXl0faE8TFyWR18cViaWnN99/D/dNN5s8N4WsI4g/qRNFMNoUM15aTqlXQaMSwiRyCLYXRmommmkR89ljCMfEENSd2u0wsffuKWX/cOMnYWL1ajoXVjfbKK2UsnUEoBH/+s5j/Dz5YjkN31YyyxExpaWSrrJRrf329fD9FRSIwrf5HltXLOlfKykTYORxyjCyRm5wMq1aZrFrix+u3YyeIh2YG6Rs46+h6bnptJNrfbpY37NePyj/dxx9viqGxMZI5192Btbti0yZx7cyf3/bXWGXtbTZxIZ5/vkzs559n4q0PMNH8gfdt53ON/TmqY/uwMjAArzuBgQM1vviiext7tpXaWsngmjEjIoTdbhEsY8aISLMEen291CuaOTNiabHbITvVi756JYXrfPgNUWfuaJ0TD6nljKPqSAkUy4FfvlwuXA4HDBhAcPrDfLS8P6+9JteRnBxxL++q1UBrGhokpbmqSlzTV13V/s//r3/BXVeVUBRKRQOG21bz8ORPOO7bW9q/M8UOUWKlha50A1kEArs20bvdEXO8NANqv923LWKlNaYpQsnvl9uW9kKEQj5KSvIxzVzS091kZMgkdtll8tzdpWNuSyAgF4HycgnIPessMYF//rlcewIBWdE3NsoqNSVF9n/ZZdubZhcskKDHn382aaoLEQyA3QwSRRMJWh1ReDF0GyG7B58zjgZbAkHDhqbJsU1PF//0tdfKZ73mGklFjomRSfnXvxaXT2evZgsK4MYbRQOfe64IpZ7MqlVynBsa5JjdeaesPmtrJX6ipkYyxzMyJN5o6VI5h7xeWLdWMry8AR0bYdx46a9v5KbfVnLBXQdJk6DaWhg0iBkT7+XOBzwUFoq77ZVXen7xz/x8+OEHESFSoTryP7dbBEZmppy7ffuKa+2LL2QifeQRCUz9ZX6QaKOR75jEu86LmB91FJu1bMpsvXG6dWbOFGvjvkRNjVR2/vrr7ftmZmRI7LtlVbWCu+fNk+uCNXPYtRBZzkpOiZnF7zJnkOmp2f6NUlJoOv1CZtuP4cNPbFvea9Ik+V23V+AtXiyVlUGseu1dpPzvf/DH0wtZ25gOQLZezI3Z73LdxhvbtyPFTlFipYWuCrDdFsOQH3RDA1t6zXg8koVi1QDYE9orVnbGjo6HVeiqf3/x9bZnrO++KyvS5GSJR2h9iDdtkhXZt9/K6r6kRFY5yckySZ53ngiIbes6LFgg1p0FC+T5rcVW6ywWKbInQnDIELjwQllBffqppC7W18vxP/NMiS3pyliJ774T3zhIDYpjjum69+oMiopEmJaViQtr6lTpH/PFF+Iqe/zxiFWloUG+w/fekziaFctN6quDmGFpkOmhmVxbAc/dW8Uhv8qVyOOGBkI5/Rg7+x+UVtg55hhxmfW0+IxdYbZYR/3+SEHEbWlqknicpiaxUD71eBjDH+ByXuRk+1c867qeInsfqmNy8IcdXHFFJAtpX8Q0xVL5ww/iYsnP33kwuFU6we8Xy4jV9JNwGBoaSLNVkh1dQ1KUD0dCFI1xWRSHe5GXr22JxUtKkpTuo4/u+LljNaHc9rxuCxs3wjmTSllanEwYjUStnvNjZvBs1QU914e3j6HESgt7S6xYSNPBzllBNjY2sr4l3H706NE88sgjTJkyhaSkJHJycjq0z22PR1mZuEVCIXFhjB7d9n1VV8tK3OcTy8KUKTt+XnOzxLR89pnEuVjltmNixC1zww0iMrY9ZgUFspL7+msJOPV65djabJEKwIccIqvZcePEijNtmkyKhiF+7enTZd97Y5K0ip7puqS07q5PTndTWyvf+bp18h16vRK0OH36jmtUBAISe/LCC7BiWZj6GgObGSKETgxN9Ldv4r03g+SM7wW3386X63J5aPMFrDYHM2K0nZtuku+q3YRCEgiyerWY6erq5CRITpZI8LFj296zogv473+lDcOPP5j4GoOkU8pXHM+tjocojh5AfXw2ld4YBg2STJtt09z3ZZqaIllsNTUiTKxMwfR0CbhNS5Pf45o1sgCZP19EwK7o0weOP162Pb1sNzTIdaqhQazAJ7cjNjYUgimja5i33NOSEeTnaOcPvDG3H7GjB+zZwBSAEitb2FOxYq3mu4NZs2YxZQcK4JJLLuGVV17p0D63PR4PPSQNxkaNav+Kb/p0yYAYOFBqjuzuOFnBmzNmiJsoP18mSJtNgj2vvVbcSDtawVpBvVZPn8RECRLVNLlAfvaZpCxa/XbGj5cJZG9mGJqmWKb+9z/5DH/9a8+N0bDw+eR7fPVV+fv006Vh367Iz5faJEsWhaitBYcZJIiNOOoZ5srj0+/icafF8fvjN1JVa2NIXDGrEw4lblAvnn1Wo03XIyt17KefJA+1sXHnz3W5RCn/+tc7TxHpQrxeEcurVxrYCfA0V7PBPoR50UdT5O5HICqR+HiZKH//+70+vB5JU5Poz9JSEc3BoFhJU1LEStrWuJS2MmOGWFji4qTbd3umgt+c1cgHH0IzHuyEON45h3vvhVF/3U0NAEWb6Gyx0oWdKnou4bCsGOLiOt6uZk846qij6EqNuHixCBVNk8yY9vDTTyJUdF1iQ9oi6DRNVuzDh8tk9/nnIihWrpRV1zXXyMR5wQUyyY8cGTnudvvWbhzTFAvNrFmyn8WLxWXkdks8zLRpe19kahpcd51ceL//XrIWrrgCTjut57o/3G5ZAcfGRmoFvfjirouU5eZKIOU559hZODdAXYMDuxmkjnhW+vtx7pQ1XPpAGlX9x5NSspy70v/DzattbKzsywu3RPPnR3uzXTqcaYoaXbpUqvQtXLh11USrmJDfL8LF65UfqN8v6vXzzyVX9bLLpEPiXjzghYVQtDmEiUYUzSRTw/vOCeSbfUjNiaemViwM55+/14bU44mOlt93ZwW6744TTpBztqRETpWzzmr7a4eO8fDpR41gSlXyZtPN+gWljOqqwSr2iANSrDQ0RIp3Weme+wuBgHTLBans2p429DU1kdeec07HWtgnJspC+MILIzEqP/wgsRSPPw5vvy1unNzcrYP3fD4J2tuwIZLpYpmU+/eX2IuTTmr/eDoLy6Li8UhA4gsviJn8yit7ZvbH/PkRf/5vfiOxNx9+KMf2T3/aXlNYxMRInNPZZzuZN8dLXbMDuxmilngWNA1h6Q1hxhwZ5uKHDiYq9Duue3Imf154IbPe9XLUmuelUJdVTreuTgr8VFRs/SYpKVQOOJSla93kLW+msjkKE4ix+egfVcLo+DwyYloCxawCQU8/LZHd112388F3IqYJt/zNoLnRwI7JANZznz6VZlsKSX3jqG/Q6ddPsoX2p+vHvobNJjFyTzwhrriTT257k/fcATY89iB1QQCNeiOWDeuKdvcyRTdxQIqV+HhZbdbUyHXUMOR62FNXye3hvffEBJuSIpNUWzEMERZ1dZINYVUo7SiaJi6bt98WC8vf/y6BezU1Mr7CQgmyi4mJxLSEwxI8W1kpk0V2triibr55+7To7kDXxaXVp49YKWbNkvnzD3+QGJuecv4UFYn7DsT98/vfS32Rxx8Xy1BNjVTm3VlTOLdbuvde+CsXv/zgpd7vRDcNakjAEQqzfE4Vox8JwcgTGXj44Zzxp+V8+IWLp9YcxzPOZ/HYVm69Q5sNBg8mPPxgfjbG8/n7XhY/HYBwS7Slxx05GWx28AYZbt/Ir1xvcnCfVbJsrq+XA15VJYFDXawQZ82Cb2YE0IFxzKeGZIq1bGLcThJjnMQ4RKS0ZyWv6BqmTJGaSOXlspA49dS2vS4nB2I8YbSWMhR1ZizrS3rgykMBHKAxK6Yp1z9Ni7jMExNlld9TJpz24vP5WLUqnyeekDor7Q2qtZq4uVxS5XJPi6pti2mKheWNNyT+pHWjR49HhEAwKBNlTIwE8516qlhoeqLlYtUqiWOxUjCHDxdr1Nix3XsO1dWJuCsqEoH3979HYoWWLpU0z+ZmcRHddNP2FY1bs3IlXHtVkKU/e6n1RxFuaecZTx29XZW89FgDE64cg88H11xtUrbRy6mji/jDpOXyhcfGQq9eVCYN4suvdb54uZjq9VWYwTB+w05StB8zNp6y5mjqm500Bh34TRcBnLhiHMTGmExKWs306HtI8rWknPXpI1XM7r23y4JvfT446jAfvyzWiKGB57mSmx2PUGRm0ivTzqBBcp5efLG4NhXdz2efRaooP/ts236DBQVw6mFVrCiKx8AkVathQtRy3iyZQkzsPjoR9CBUgG0LeyJWamrEjW7137GqM8bGRizY+xp1dT6WLMnn5ZdzOfpod7usKlaQGoirY/LkrhkjyBy2ZImsXOfPlwVza9LS5P1PPHH31Sy7G59Psmjefz9SfC07W2JZJk7c+/FQjY1iMcnLE8vao49u76LYuFECrsvLRcRccIHUkNlZe4jPP4eb/+RlzVobIdOGhrElhiNG93L2mHzu/GcWRVo2U6fKJPHAA+K6W7QIvvnUy7wvqgkVlVPrc1LvdxEI22k0o6kNxRAwHBjIxCDdzE1sGDj0EHanjivaQZzbz01pr/C7hHfRKsplSTxypFQS6wKX0FOPh7nlz35CYY0LeAuby84X9lNp0BOIjdPo3Vs+37/+JdcPRffj9UodJK9XTosxY3b/mlAIjji4noUr3YTRiaeeSa6F3Pf5GEZOSe76Qe/nKLHSwp6IFa9XLuiGIZYElytS+M3lklXnXnCLdxqBAGza5KO4OJ+5c3P5y1/cba458Pnn8Mwz8vfeXimapgjHyspIxmpn+/8DgUh/o4ICcftVV29dO0e6aos1xzof4uNlLNaWmBjZkpLkMWuCr6yUEu0zZ0aEr6ZJgbAJE8TC0a9f155TZWWSrrx5s4zt/vt3Xn+msVEa8v34o9zPypI4o4kTtxYtdXVicXvxRSgtkBbO/rADn+EgjI6NEDE0E+MMMia7An90Aptq4nHZDfom1OKt8VJdAxXeOHxhB6Zh4tdc+EwXQdPeIk4MHISwE8JAw0QnhI6Jjg0D0PBEabg8Gkd5fuYfOU+QVbdSfJUTJkjtl7Y24moDRUVw1KgaNldGkUYZf9Ye5XnPDTTEZdG3v52NG+VcefBB6cOk6Dm88IL8DsePl0D8tnD+KY18OsOGDydRNDPF+RO/nZrF2bfvY9X9eiAqG6gTMAwx4/r9keQDtzuShFBQIBNnfPyemfRNU94rHI7UabG23aHr8t66Htl2NBavV1wR4bBcs6+8sm3FkUxTutO++abcP/30vZ/VoGky8XdW3x3TFDGyenVky8uL9G/aHT5fpJx4URvi7KyO25aAOfZYCRBet07Ew48/Snau3S7nV79+UkMmPV0sSDEx4snweORYGEakSJ5hyMpvZxuI+HG5JOPqk0/k3E1LEw/JrgrlxcRIQdrvvpN05qIiSQ+PjZXWAomJYnn55RcRe337wogRTmrX1lCytoIyfyJVwTgM00YdcTQEwny9IRpNMwngwgTW4ETHwEYYuxkiqDkImA7CppycUiXXR5a9nP6eYoZEbWZ41AZcho+Pqyfxv8bx1JlxhNHxNYcI+jS+DU/g12vu4J7ezzO5cI58mEcf7bSugaYJd15bSUmlBwcBzuID3nZfQrUzg0ED7Jx/vlSzDYXYIlr2Vbfx/sgpp4hYWbBArgNtqXszaIQbx+defKaTEHaCpp0NC+u6frCKdnNAipXoaLEkl5XJKtOqxGg1BjQMOdnr6+XCHR29a9dQOCwXdatrciAgq3VLpHQW2woYvz/SXcB67LXXJB7Eet/W4sj6u6kJ5s6NxO2MGSMX4JdfjlgXYmNli4mRzfo7KqrnXKADASkq11qc1Oyg0ndsrMTgZGeLULAERmysfOdOp3wmq42Bzyc1ImprxbpQWyv7tSwyNTWRYOD6+h0XwoqOlufV18vxDgalTLndLueYdWsJDrc7cttWsdnQIN9hXV3kPTVN4lJyciS8Y9Agsexsu7DRNHG3jR8vF/hPPpH9fP/91s8bOBAuvVRqZNx9dy+WaAZJ+UU0hipZ5+1NU9CJaWr4cWGaJhomYewtlpcwGnZM3GimiYmGjTAuLUC6s5qcmBrcyVEQP4TVMWNZ7XKj2zUmjvLyu14befyxCubk9abJ9KAZYZpr/ayM7sstm6/k+l6JnFfyGdqcOfLhfv/7PT4xZ3/exKefQhAbA8mj1pVOvn0g8alOrr5aKijn5sr5MXeuVP/t6RWNDyQyM6W55rJl8t20xUo8ZLgduy0MIQ0DjUYzmvz1u2mBrugWDkixAjIpZ2XJBFRVFbGyOBwygRiGPFZaKiLA45HJRNdlogiHI5Nb68aC1qq4tUCwRIa1tRYdsONrrLWf1vuySlVbwsi6b7fLvgIBWVVUVu74MxuGrJiLiiIdpfv2lUlqxoy2HTe7PeIa2dZVYm1JSWKZ6kxhYxgy7nXrIgIlP3/7po42m1gwhgyJbKmpnSuwTFNESGsBY902Nka2hobI31YTSktgWgK5qSlizYFIR21LJMbFyWa5kIJB+b5KS+V1VhxrZqYIMMMQAVNSIlYdi969pUDguHFyQbf25/FE4lZWrJBjWlsr39+AARLLah27adPgfmcG8z934MrbyMFx37HG14cNviwavHaMsGRVBE0IYwM0XHqAgGHHphnE25sYGlvE+UOXMuGs3sQePR49Ppa6OrFIzZsngcvfL45hrn04598Nh6718vTDXiqb3ITQCTT5WRfM4omy8ymLj+cqx/vYP/1UDtKFF3b4O21qMLj18nLqg2nE0MSh2jy+sJ+FFhXFWWfJeVVXJ7Eqxx4ri4LnnpPzqyvbPSjax7HHilj55huxFO/ud5+TA1Eug5qQiYlOvRFDUUUDwaCqut/TOCBjVrbFqvHR1CQTvqbJiWqzbd23pjWWlaK1oLCOZOvnb/t368da32+92rb+tu5b4sjnk4nPsthomggGjwf8fh8FBfmUleUSDm99PMrLJcV28WKZMEEusKedJhOcZQmybr3e7SfdhoadN3TcGS6XBHomJ0e2be9HRW1tKbLer6pKCveVlEgvory8rWuJWSQmbi1MBgzoefFGVn/N1sd0289pfdZtA453hdstZe7POUcsRlZ35oICiV3Jz5fJv6Bg69e5XOLuGT9etuR2xBKGQpLW/MFrTZCfR2ygigHRJfhNF2vD/aj0xVDvdVDQmIgv7MBjCzA0poBBMSVcenwxR1w5DG3czlOmNm4UC9/8+XLMcnMl0PrFZwNU10gQroMANg1SXfX0dRYxKX45rigbtkPGoR80dMv5ZLNFFh+WBcvpjFgPrcc9Hnj+hpW8PScTHy7GsIBKTx9qo7M4eLSN11+X8i6NjdJ+4sgjJXt62TKx1v3jHyrQtqfg80nJBquC847aS7QmLw9OPKSGDZVxaITpqxcyNKaQx3+Z3KE6U4oIKsC2hc7uDWStlisqtraW2Gxbi4ptLSfWa7cVKjsSONs+t/U+thU0O3LjWPu0spisFbdM9CJWGhtzqapyU1MjQaVr1sgEZpGWJjVUjjmm/VlPgUDELbKtm6T1Vl29tbWgs3C7ZWU7YIC4N7rCatLdNDVFhIt1W17OlpVeXFyk/szo0W0TZg0NYjWx+rdUV2/9//79JVZ1wgT5uy3Hc+FCeOF5g6KllVBaFoksbsEXdrCiMQfdbuPMyVU8+moyjtSErZ5jmmIhysuTbdMm+f2Vl4to2bRJhLnHI4Jq1UoDv0+aLNoJogPRNh/xtkYGRRfLSrhPn3ankVWtq2LxGg9+XLjw4tAMAo4Y3FE6l18ugnLZMrFCPv64dCOuq5PeV9XVcOihcMst+2YW4f7IE09IvZXjjhORuSt8Phg/pJ5VmzyYQLZWzAj3em78cDJTjlemlT1hnxQrzzzzDA899BAlJSUMGzaMxx57jCOOOGK3r+uORobhcGQC9vnk/rbiBLZ367RexVnWEdjeAmMY8NRT0/nii/fJy1uNy+Vh9OiJ/PnPD5CbO3i7QNzWYsXa745iGsJhH2Vl+bzyitRZaY3bLRPbMceIG6A93Uk7SiAgF/mqKnFLVVbKhb2yMvJYTc32x9XpFLdGQoJMCpmZ4sIYMECsQWpC2DNMUywu8+fLtnbt1t9BUlJEuBx88K7FUCgkQcRzZpusWeqntqQZLRwmOT7IsGEaUb0TmfGNG02TwnnDh4so2bAhIlAsS9+O0DQZXygkFrSxY+Hddwzqa8Li/qIOOyZZrgoy3dVcnD2HWE8IY/JRGJOOIGxoWyyGrePJWm+VizbywRcxVIdjAQ0XfgL2KNBtjBwp5+Hy5fK7HThQxuF0yjnpdktbC7dbXA5XXrl/Ced9laVLI0UP//3v3SeLHT2hgR/mOwlhI5VKxruWcdY9Y7jsryp9eU/Y57KB3n77bW644QaeeeYZJk2axPPPP89JJ53EypUrO9xhuCux2SIBmF6vbD6fXNisrBK7fWuTsmVObutEumzZbG688WrGjh1PIBBi6tTb+MMfjmfBgpVERUVvJYRau6O2zQgJBuXWNOVvu10m9SFDZCWamioX2IED977/1ekUsZGRsfPnhMMyfkvEWcdS0XVomsT09OsnsSq1tWJxmTdPsn+qqyUFe+ZMOZ8GDoSDDpIg3ZwcMVpY57ndLkG6kydrgJtg0I3dLu6SwkIRRalLpbXP734n77lt5pfdLhaLfv0iLp+0NNk8HhG1t94qFiZdh7fe1vntpVBREqLJiCWDYur9bpIxmVk6itsGv8ugNQ9Byo9w9dU7L9MbDtPw3OtcPjcTMzwCN34yKaYiui+eKBsnnywvf+opGUNyshyHoiK5FliNNTVNiufddZcEKp99tpSAGTZMYo4Ue59hw8Q9XlcnNZ3Gjt3183P6O/h5fpggdny4wTTZtKwOUGKlJ9HllpVDDjmEMWPG8KxVdQwYOnQoZ555JtOnT9/la7vDstIdVFRUkJaWxuzZs5ncwYps+9PxUHQPgYC4O+bPF/GybUsfEHGRkSEaIDraipcSUd/UFMmwszBNcelUVMhrp0wRgdO/v2y9e+9+5VteLlV5KytF1Jx+OvzmNwZVZWL27Es+Jjq97aUkePz8ccBXHJO5Ci0+LuLztKrdGgYsXozvX69xw38n8knVofjw4MFLozsVV5yLgw6CL76QeJ/bbxeR9OSTItYMQz6jFRO0dq0Ec65eLbvPzIxYAPv1E+EyZoxMoCpgc+/x7LOSNHDssXD99bt+7r33mjx0RyMNRjRumpnsmEev0Rm8+nMP6PGxD7NPWVYCgQALFy7kb3/721aPH3/88fxoVaTqTKxIxu7A5eqwDbiuJfc0qbMKjigUHcDplFXo2LHitiktFavBypWShWVZFbYN2N0RKSkyuffvL5aTb76Rirb19fJ4e1J+rdoxN98sFo0vvoCXXtK55BKN2sowm4xcBrCWslAy/qYGHl95LIvKe/O7gbNI/Oc/JWI3J0c+YHEx1cU+bv/5VD5vHk8IGyYajZ5UdLeLjAyZ6Gw2KTIGUr/DMgLresRieMgh8tjUqeJueP55iQ+qrhbL7IYNsn3wQcQVO368HF/1U+9ajjhCxMpPP4mFbFeCeMgQDbvNBEOy2JpND9UVYRoadm6YU+x9ulSsVFZWEg6H6bVNwFuvXr0oLS3d7vl+vx9/K7FR357UCNmBtODsDt55R65I7cQ0TW688UYOP/xwhu8udF2h2EtoWmRStoSFaYqVo6Qkkord3Cw63Spul5oqr9m28+2kSVIp+csvpYHypk1w+eVtLz6blSVtAm65RSwe8fHwwgsaV1xho65aY70xiFzy8BkONvozCZbpLKzqy1lx33BSwk/Er1+PGQrzQ9kAnqi5mLnmeJqJIowdLSaKkOlicK7sf8gQqamyaZNMVrvLiNY0KfWeni6f0TAkzve442QfCxZIfNZPP8lmVTc+4gg5Lnu7LcOBwEEHSbxRba3EHI0atfPn5uaC22VC0MTEJjFczV42bpQ0f0XPYK/UWdG2sTiYprndYwDTp0/nrrvu2htD6jFcc801LF26lO+3rcalUPQwNE1iSjrSs8lmg2uuEYvLG2+IGFi5Ukz0bU0Rzc0Vt8zUqVKULSkJHn9c44YbbNRWa2w2+pKiVZFuFrEh1BdHKEh+IIMnK39FklZDnRFLkZlBBamEsePR/OixsfhCdoYPFwvKOeeIm+fVV+U9L7647avrE06Qz/fQQyJS3nwTLrtMPndeXiQ2aN06mUCXLxdrzKhR4ho79NCe2bRzX0TXJUj8yy+l3tCuxEpmJrg9Glqj1AkKYAe/j4ICJVZ6El0asxIIBIiKiuKdd97hrFa91K+//noWL17M7Nmzt3r+jiwr2dnZbY9Z2cfcQNdeey0ffvghc+bMITc3d4/eXsWsKPYV5s2TKvmNjTKpnHuuBPu2Nbj6hx+kWaJpSk0Nv19cRNVVBi4tQKJRjT3sw2EGaDBj8OLBQCeAkzA2XASIjwoSjk8kENTJyhKxcP/9Yh26/XbJKBk2TGp1tNe7W14uvYPWrJH7gwfDb38r+wOJ3/n+e8kkWr8+8jq7XVxEkyfLRKt+xnvG/PnSLyslBV56aeffo2HAyH6NrN7kBkyGaGvJ9ZRx6kNH8oc/7oXUyf2Uzo5Z6dJEUKfTydixY/nqq6+2evyrr75i4sSJ2z3f5XIRFxe31dYuNE1+4d2xteOKZpom11xzDe+//z7ffvvtHgsVhWJfYsIEcZdMmiQTxX//C1ddBf/7X6Qq866YNEmyiwD+8x9xo0yfDimpOobDTZ27F2nZLlwxDmLcIeIczcTZm8lwVTMktYpLf+1j3AnJoOnExkoA7J13iivrnXdEqLhcYvXpSBhaWpqIlcsvl0vDmjXSi+nmm0WgxMbCWWeJYHv+ebHe5ORIZtzPP4tl5uKLZR8//dT+YowKwUq9r6yUYOidoeuQmgY2DEygwYwGI0zB6sadv0ix1+lyN9CNN97Ib37zG8aNG8dhhx3GP//5TzZv3syVV17Z1W/dY7n66qt54403+Oijj4iNjd0SvxMfH49HlcJUHAAkJsoE/uOPMmGXl0uTwPfeE2vJhAm7FgqnnSbBrG++KYGwl18Ojz0mFWa9XhubglmMn2KQHOVFCwTIyIQRh0QzaoKTu+6S99V1qUb78MPiUlq0SMrogwQY7yrtfnfoOpx5plhJ3nwTvv46Eqzscklw7oQJEltxwQWybdokzSXnzJG4oO++ky0qSuojjRkjQboqOLdtOJ1yvH7+Wax5u3I3ZuXYsc0PE8JJM1FgmBSs6yYrvWKH7LWicA8++CAlJSUMHz6cRx99tE0puvtr6vKO4nUAXn75ZS699NIO7XNfPh6KAxu/XxopvvuuBO6C1He5+GKZbHYmWkxTsnDefVfun3GGuFyuuEICKz0eqQ8zbJhU/q2oECFQWir7vPBCyTKKjpbU46lTpabSCSdInElnUl0Nn38uNWdKSrb+X0pKJI07K0sCdZuaJI38xx+37/WVnS0VnAcNktdZqeSqIN32fPWVVLQdOFDE8M647VaTJx9ootGIIpoGJjvnoQ8dzFs/5Kg4og6yT1aw7Sj7q1jpCtTxUOzrNDaKZeWTTyKhZ0OHiqVlZ4GOpimvsQJiBw8W0XLvveJ+CQZlRR0VJZaLmhoRLtdeGynF/ssvEq/S3Cx1Ue64o+uKE5qmxKl8950E2G7YsHPXl6aJBcpmk7FVV4sIa93ryGoHEh0tmVitu6NbPZJaF5m03suqqm39bZqRrK7oaHlfKxssIWHfFUJVVdI1XNPEarazOfOll+AvVzZQG4zGhZ9TnV/hyxnEQ58MYciQvTrk/YZ9qs6KQqFQtJWYGEkBPuMMsZbMmCFpyrfeKm6Q3/1OMjdao2kSoJuRIYXb1qyRWI+RI2UiLy6WarqaJlVo+/WDv/5VitPV1IjQ+fhjmayHD5fO0l1ZRVnTIlWlQSw569aJkLLGWlYmVqBgcOs+Ti6XfIbGRhEtjY0S5+JwiEgpKxOh0dnCIjZWrFMjRkgcSJ8+nbv/riQ5Wer8bNwojVx3ZtAfNAjsDg0zCAY6NlM6uhYUoMRKD0GJFYVC0aNISBBXztlnS/DtF19I2u/ixRIHcsEF22fKTJokAuDllyVbaPVqmbTDYamua9mPBw0SV8wnn0jQpdWw9KST5D33drsHt1tEwLaWI6uxanm5CJcdbVaDUsOI9D0yDLEuDRgggb6tG6+aZqRVQutGq9Zjfr+4n5qaxCJRUiLv09AgqeJz58rz+vWTyrBHHbVvFE0bPVrEyqJFOxcrubngcGpozWAAzYYb/D42b96bI1XsCuUG2k9Qx0Oxv1JUJEG0CxfK/fR0CaQdupNq6IWFkXomIIKltFRK5Fv9vSyGDBHxM25c142/qwgEZBJeuVK6ai9ZsnXz62HDpG7MuHEdt7YEg1IjZtky2ZYujQg8u11E3nnniduop7J4scQjJSXBK6/s+FgEgzAkp4mNpW50wkzS5xIbbTL2T5O586591AfWzaiYlRbU5Lw16ngo9mdMUwTI88/Lal/TZJK88MK2V8FtbBS3Ul2dWDT69xfhs6/GY2xLICAWqO++EyuIJSr69oX/+z8p9b+nNDSIZeqrryLNHJ1Oyc4677yeWdQuEIBf/1osR08+KcdjR4wb2sSS1U5MTIazkmxPFennH8ELr6juqh1hn6qzolAoFJ2Bpkm675NPSryJaYqL6Kabts+W2RkxMTJhH3ssHH64xLnsL0IFRDRMnCj1XP71L6nl4vGI9eXuu2UrLt6z94iNhVNPlTTxe+8Vl1MgILE/f/yjpAn3NJxOiUcCsT7tjPQsvaXWik4t8WAYlBUECQb3zjgVu0aJFYVCsc8QHS0uoJtvFvGxbp3ct6rFKoTkZCn1//LL4gqy26Wi69VXw1tvbe8Oay+aJsG2Dz0kQcmZmRIMfO+9Ul24pTdrj+Hgg+V2V2Ilq68TuxbGRKOBWDw0YzZ72UEbO0U3oMSKQqHY5zj8cKkA26ePZPX87W/S2VmxNdHRkrr71FNSyj8UgtdfF7G3p1YWENEyfrxYvM49V4J1v/9eUsOXLdvz/XcWI0fK7fLlOxdquQNs2HXJ5/bhJlWrgqamTjlOij1HiRWFQrFPkp4u1WcPO0wm4cceE9dQz43C6z6ysqR+zJ//LAJmzRqpM/PVV51zvJxOSTt/5BEpWldTA7fdBm+/3TO+j9xcscR5vVv3Y2pN//6SBm6iEcKO25S24kqs9AyUWFEoFPssbjfccgucf77c/89/4MUXe8YE2dPQNEk3fuopsTT4/VLd9YknOq//UP/+IliOOUa+g9dek75LDQ2ds/+OouuR9PClS3f8nEGDQLdrSBiTRoMRDV4vRUV7aZCKXaLEikKh2KfRNKlye8UVcv+jj8RFtKdxGfsrKSkSW/J//yfH7uuv4S9/2b4NQEdxu+GGG2RzOqW+yZ/+JIG+3YnlCtqZWMnNBbtdQ8PEAKrDceD3K7HSQ1BipRt49tlnGTly5JbO0ocddhiff/55dw9LodinOeMMCbbVdeng/PDDkfRdxdZYqd/33itdq/PzRVAsWtR573HMMfId9Ool1XX/8hfpzdRdWJaV1at3fF7Exkq7AQ0T0Kg2kyDgp7hYmel6AkqsdAO9e/fm/vvvZ8GCBSxYsICjjz6aM844gxUrVnT30BSKfZopU6Q8v90ugZ4PPqgEy64YORIef1xSkJuaxGXz/vud50bLzRUr1+jR4nZ66CHpw9MdVq+cHInX8flEnG2LpkFSkomOgYlGlZkI4TDV5WF8vr0/XsXWKLHSDZx22mmcfPLJDBo0iEGDBnHfffcRExPDXKuetUKh6DCHHCLBnQ4H/PQT/P3vqFoZuyA5GaZPh+OOE5Hy8stiEbGaSe4psbEigs47T+5/8IGkO9fXd87+24qmRaoer1q14+ekZ9qwaSJWakkknroW68reG6dix+xfYsU0RTZ3x9bBpUg4HOatt96iqamJww47rJMPiEJxYDJunJRYdzqlvsh993VeEOn+iMMh6cZXXSUNIOfMkYJ75eWds39dlxiZv/1NYlqWLhW304YNnbP/tnLQQXK7cuWO/5+V68TWUmulnjgyKAGfilvpCexfjQz9/oh839u888723dV2wbJlyzjssMPw+XzExMTwwQcfcJD1S1IoFHvM6NGSrnv33dJX6J574PbbpXuxYns0DU4+WWrXTJ8u5fRvuEEEhhWcuqdMmiSpzffeKwG9N90k3bRPOGHvVBNubVkxze3fM6evjsNmggF+XCSa1S3py0ldPzjFLtm/LCv7EIMHD2bx4sXMnTuXq666iksuuYSVO5P7CoWiQ4wcKS4It1sa2t11Fyr+YDcMGyY1awYMkJTjqVPh4487L44lJ0fiWMaNE2vX00+LoKyu7pz974pBgySeqbpagn63pX9/+b+JRhgdTAO8zcqy0gPYvxoZmmbnOVrbi8u1R0uDY489lv79+/P888936PWqkaFCsXNWrRIri9crroA775S+OYqdEwhITZb//U/uH3OM9P9xdlJfP9OEDz+U2jjBoBRtu+IKOProrrWy/OUvUhTvxhslILs1ixfDCUc0UdHowUGQa+zPsTZzCoPPG8nDD3fdmPZHVCPDXaFpsoTqjm0Pf12maeLvLqGlUOznDB0qbqDoaIlXmDZNsl8UO8fplLiS3/1OYk6++UZcQm1tHLk7NE2aLT72mFg0Ghvl7xtu2HktlM5gV3Er/fqBza5vqbVSYaSA36csKz2A/Uus7CPceuutfPfdd2zcuJFly5Zx2223MWvWLC666KLuHppCsd8yeLAIlpgYqbUxdapMkIqdo2lw+unipomNlcaRN9yw8wDVjpCTI9lHv/2t1DnJy5NsrqlTJTjaMDrvvWDXYkVqrZhbaq2UGSngD9DY2P1VeA909q8A232EsrIyfvOb31BSUkJ8fDwjR45k5syZHHfccd09NIViv2bgQMkMuv12mXj/8heZFLOyuntk3YflPW9oEPHm90tcj98f2Xw+OPFE6b20Zo0IixNOgDFjJHvIZpNYD2trfd/6e0fPsdnE3eTzyXdz5ZXw2Wfw44/wxRcwY4ZYwwYOlF5Qbrc81+uF5mZ5raaJ5ce6dbkgLk6ER2IiZGTI1rs3pKVFgmw3b5bPHBsbORZSawU2FxsYaJSSwRhzPZWmQVGRzpAh3fMdKZRY6RZefPHF7h6CQnHA0q+f1F656y4oKpLmfn/9q3Ql3p8IBKCiQtw2lZXyd1WV1DeprxdhUl8vE3Zb69AYhryuuhqef17EQJ8+nRfHYhETI2nTFRVS1G/NGnnc6ZSKu9HRYoWJihKB0lbi4iTI1uuVwnQrV0pdntakptuwrTAIm3aqSCKTEioDQYqKXEqsdCNKrCgUigOOvn0lI+Xvf5fg27vugosuksoH7Zn8egKGIVaC/Hy53bwZCgqgtLR9GTw2m4gEj0esEy6XWDJcLhEJNps876ijYPlyKc1vGJKCPGqUiEDTFHERCokY2PY2GNz6fjgs+7bey9pcLhmHwwGFhfKZCgtl/5ZFxjDEuhIXJ4XtkpLkNi5OXu9wiGArL5cxFhWJOFuwQI5NRQVcfz2cc46kVI8bJ2PJyHFg13z4TWgkhkyzkKV+P8XFKue9O1FiRaFQHJAkJIhL6Nln4auvpEPwwoVSHC07u7tHt3Pq6mDFCrE2rF0L69fvPB3b7YbUVGleaG3x8eL6iIsTcWK5TNqbJ7BpEzz5pIyjpkZEwYUXwuGHd002TyAAy5aJNSQvTz53ba2IlooKSUUOBkUImaY8rmni+snMFEESEyMCad48aeBYWSkF8ObMEXF06KHgcOrYbQYYGgGcJIYqwa+q2HY3SqwoFIoDFqty67Bh4tZYtUrun3KKrLiTekAtsIYGsWQsWyZZMps2bf8ct1vqouTkyJadLe6ZuLiuSwPu00d6L33+uaQfFxTI/bfekqaSkyaJu6azcDrFVTdggHRw3rhRhNKaNWJ1qaqS+BorBiYQEMFildbXNBEkUVHyveu67HPkSHl9dbWkaRcUgM9wYaIRQsdnOKBZ1VrpbvavOisHMOp4KBR7Rnk5/POf8PPPct/hkH45Z50lwZ17C59PLCdLlsiWn7+9O6dvXwkUHTRItt69u9d91dQEn3widVOslHCnU+JBDj1UMnBSUtq3z/p6cd0UFopA27RJBEpt7c5f43SK9cTplCBen0+sLtXVkaDc5mYRNfX1csz69JHjacWj/PIL/PR9mEBYR8PgRP1rmrIGkTohl3fe2TuVdvcHOrvOihIr+wnqeCgUncPixfDmm1untg4eDJMnw8SJ7Z90d4cVQGqJkzVrtu9KnJ0NI0bAwQfD8OFiMemJNDWJpeXbb8VC0Zq0NBEGKSkSWxIVJY8bhoiH2lrZKitFoOwsVVjTRDxaIqNvX8n2SU0VobIjMWGast/8fHEhLVggmU21tRLfouviHktLE/fgt1+F8AZ0wKQPm/G5k3ClxXPHHWI1Sk7upAO2H6PESgtqct4adTwUis7DNMX18s47Il5aXyXT0sRtNGSIWDSyssRdtLsVt2nKar64WLYNGyTmJC9v+2yctDQRJgcfLCKlJ7ij2oNpyuebPVuO44YNHSvXn5oqxzg7W0RJnz7i5uqMS9yLL8JLL4nwCwTE+lJVJcKlpChMIKQBBgPJI+iOozkunaFD5fljx4rVzQrKVWxPZ4sVFbOiUCgU26BpIhJGjJDg0R9+kCDM1avFXVReHilDD5GUWito1XLJmKZYG6x0Ya93x+8XHy+xE5ZA2Ztup65A0yS2ZMAAue/zicWopEQEQVWVHAvrODkckgadkCDCLCtLgmK7ct1licCcHGnFMGMGzJwpQrKkWAM0QKecNAbphXjTepGertHUJJaZBQskBmbCBAkqHjWqa8d7oKPEikKhUOyCxEQ49VTZvF6ZdFesEGtBYaFkoVg1TSoqdr+/lBSZiPv2jcScpKfv37EQbndEiPUUBg6U24ICyYa69FJJXf/oI1i9CqoqDQx0moiiPuihpsykd2+N666LiNWqKrEezZ4tMTIHHSTdvkeMgNxcZXXpTJRYUSgUijbi8cgKetSoyGOhkIiUhoZIsbXWLo/o6EiqcEqKxEgoup/ERHEzVVRIGvSIEfJd/frX8P77Gp+8HyRgOgAImHb8PpP8fHjmGXEBXn+9iLAff5StvFyytay+Rna7CJaBA0WQ9u0rFiNlfekYSqwoFArFHmC3R0q6K/YtBg0SsbJ2rYgVi759NTz2EIGgTJG9KKfRlkl9vY36ekmHnjZNgp0vugguu0zcR7/8IjFOq1dLPZx162SbMSOy75SUSBxO795iZevVS4STXc3IO0Udmm5m+vTp3HrrrVx//fU89thj3T0chUKhOGAYOFDikdat2/rxnByw20ALgo0w59g+5An7MMKaA49HrGmGIcHDt9wi8UYXXxxxF5qmiCCrcN+6deIyrKuLtD9YvHjr99Q0ETLp6SJetr1NSNi/XYW7Q4mVbmT+/Pn885//ZOTIkd09FIVCoTjgGDRIbteu3frx3FzQbaIMTHSSjXJGpJZS6umH0yliJBAQl57XK66fm26Sxo6//rWkuqelyXbEEZH9NjSIaLE2qy3CtnFPy5ZtP1anU6wvrVsLWJt1Pz5+/42TUWKlm2hsbOSiiy7ihRde4N577+3u4SgUCsUBx4ABYq2oqJCsr8REeXzgQNC2iBVYZw4kmSr0zH7cdht8/z3MmiX1YTRN4pFqaqRf0qJFMH68uIf699/6/WJjpZif1fnZwjSl5ktZWUS8WLdlZTK+QECK5O2ukq7bLeOxstN2dmttO6tN09PYv8SK1eu8O3C52vWNX3311Zxyyikce+yxSqwoFApFN+DxSOzI5s3iqpkwQR7PzgabXce6oueF+9LHKKYGmWL+/Gc47TT4178kfqW+Xi7/0dEiWubPl234cDjpJDjsMEnP3hmaJkIpMZEddna2grittO9tt+pq2UIhSRP3+STgty3outSNmTatPUdu77N/iRW/X3LPuoN33mlzmPdbb73FokWLmD9/fhcPSqFQKBS7YtAgEStr10bESnQ0REWb6NUGJhqFZhaHBhexEqkVY73ugQckqPaNNyQ+palJ1szBoLiHli2TuJb4eKmAfMQRIkbaa8loSxC3aUorAaumT13djm9b/7+5WWJv9oVO4/uXWNkHKCgo4Prrr+fLL79UlWYVCoWimxk0SDowbxu3kpioU1BgEEannFQygpvBNCgpiczsmiZxKqNHS8Dshx+KGwgirp1QSMTBxx9L/6TUVOmXNHasZCB1VoyJZdmJjm57Zpo1NsPonDF0JfuXWHG5xMLRXe/dBhYuXEh5eTljx47d8lg4HGbOnDk89dRT+P1+bDZbV41SoVAoFK1oHWRrmhGrR2qGHfsyPyHTRh3xZJhFEAxSUrL9tV7TRLCMHi0pzDNmSH8kKxi3rk5iTUIhcc9s3izixeUSS4u1DR68d/s+2e37TiuH/UusaFqPr7hzzDHHsGybUO/f/va3DBkyhJtvvlkJFYVCodiL9Okj8SRNTeLiycyUx9Mzdew2E0IazUSREiiGQIDS0l0vTDMz4YorpCLukiXw3Xcwd67s3zBEuJSVSWaQ3S4F6f73P2ns6HJJ4bg+fSRuxqrFkpUVafx4oLJ/iZV9gNjYWIYPH77VY9HR0SQnJ2/3uEKhUCi6Frsd+vWTmJP16yNiJSsLbDYTMwRhbHh9QCBAdbUEsO5uXWy3i6tn7FgRKevWSXzLkiXyPj6fxLU0NkYaXPp80srB44lsLpdsVgVka0tIkEwey/UTHS2iy24Hm23rWxALj2nKWAwj8rdpyvtYn7unosSKQqFQKA5o+vePiJXJk+Wxvn3B1pK+bKBRFEgjhiYaSaa0VP7fVnRdXDyDB8OvfiUioaAgUuF2wwZxDTU0SNCr1ytbfb0ImGBQRIclXByOrTe7Xd7DZovctg7i1bSIWGktUqzbUaPg4Yc762h2DUqs9ABmzZrV3UNQKBSKAxarqeH69ZHH+vaNFIYz0Fkd6k+GrZx15FBS0j6xsi26Lq6ePn3g2GPlMdOUNORNm0S4FBTIbWmppEP7/VJrxdqCQREyoRCEw7JZ4mPbzcISMNve7gvRB0qsKBQKheKAZsAAuV2/PhJkO2CAFIazDBRrjYEMNotYxzhKSzt/DFa5/ZQUcR21prk5UiiuvFyyjGpqIrdNTRG3UiDQtvez22VzOHpWN+ydocSKQqFQKA5osrMlc8frldiRrCxJMXY6NTRMQGOTmc2RgTWAPGdvEhUlLQByc3f/XMMQ4RIOy/3W1hVLnDgc+0bV2tbsA6VgFAqFQqHoOmw2CbKFiCsoKgqiYzR0DAyg1Ewn058P0CWWlc5C12XssbGyWSX24+MlCNfp3PeECiixolAoFArFlriV1h2Yk1J0bJoBaNSQSEbzBjCNvW5ZUSixolAoFArFlqaDGzZEHktNt2HXTUw0GomRWivBIBUVEtiq2HsosaJQKBSKA57WGUFW+fmMTA2bLgEfQex4G8O48GOaEvCq2HsosaJQKBSKA57evaWGic8npfHBKgwHoGGgs86fTUZMI9Cz41b2R7pUrNx3331MnDiRqKgoEhISuvKtFAqFQqHoMLq+fZBtnz5b11pZ788mw10D7P2MoAOdLhUrgUCA8847j6uuuqor30ahUCgUij1m2+Jw/ftHxIqJxtrwANINMbsoy8repUvrrNx1110AvPLKK135NgqFQqFQ7DFWcTgrIygjA+wOWmqtQJ7Zl+MDmwBpeqjYe6iYlW7gzjvvRNO0rbb09PTuHpZCoVAc0FhiJS9PgmxTUsDllsJwJhpFZibpzXmAEit7mx5Vwdbv9+P3+7fcr6+v78bRdC3Dhg3j66+/3nLfti80Z1AoFIr9mKws6abs80FhoVS29cRIrZWQqVNFMpmNayFB3ECGIbEuiq6n3Yd5R1aBbbcFCxZ0aDDTp08nPj5+y5adnd2+HZimnGXdsbXuFtUG7HY76enpW7bU1NT2fVaFQqFQdCq6vrUrSNMgOdW2pTBcPXEkVq3HbjMIhaTxoGLv0G7LyjXXXMOvfvWrXT6nbwfbUd5yyy3ceOONW+7X19e3T7D4/XDeeR167z3mnXdEkreRdevWkZmZicvl4pBDDuHvf/87/axQdIVCoVB0C/37w/LlEmR7zDGQmqZj001MA/w4qW5w0CveT1G1h5IS6SGk6HraLVZSUlJISUnpirHgcrlwuVxdsu+exCGHHMK///1vBg0aRFlZGffeey8TJ05kxYoVJCcnd/fwFAqF4oBl24ygjAyw24AQGNjY0JhGekzjFrEycmS3DfWAoktjVjZv3kx1dTWbN28mHA6zePFiAAYMGEBMTEznv6HLJRaO7qAdIuukk07a8veIESM47LDD6N+/P6+++upWliWFQqFQ7F1aB9mGwxK30rrWyjpfNplRtSwkVQXZ7kW6VKxMmzaNV199dcv90aNHA/C///2Po446qvPfUNPa5YrpKURHRzNixAjWte6gpVAoFIq9TmYmeDzg9UJBgVUYDkAjjMaGYA7j7JXAQCVW9iJdGsf8yiuvYJrmdluXCJV9GL/fz6pVq8jIyOjuoSgUCsUBjaZFrCvr14tlxWbXWmqtaKw3+pERLgRU+vLeRCVddQN/+ctfmD17Nvn5+fz888+ce+651NfXc8kll3T30BQKheKAp3VGUGoquFwaekutlUKzNxmNYgUvKWl3Iqiigyix0g0UFhZy4YUXMnjwYM4++2ycTidz586lT58+3T00hUKhOOBpbVlJSQGnWwdNVEkZqfSqWY2mSdWKurpuHOgBRI8qCneg8NZbb3X3EBQKhUKxE6yMoPx8iIkBd7SOTQsSNG3UkYBeVEDKAKioEOuK6tPb9SjLikKhUCgUrUhPh+hoCAalkm1Sig2bJm4gPy6qiv1k9DIAFbeyt1BiRaFQKBSKVmiaFIcDcQWlpbXUWgGCOCiqjyUjrglQYmVvocSKQqFQKBTb0Lo4XEaGlOLXaKm10pxFRpQEqyixsndQYkWhUCgUim1oHWSbkwNWr9kwGnmB3mQ4KgFpaKjoepRYUSgUCoViGyyxkp8v3ZitKrYmGnnhHDL0MgCKi7trhAcWSqwoFAqFQrENvXpJJlAoJLVUnC7QWwrDbTJySPdvAqChAZqaunesBwJKrCgUCoVCsQ2tK9nW10utFU0zMYES0vGU5m9JWVZxK12PEisKhUKhUOwAK8i2qgpcHn2LZaWaJIx1G7A6pKi4la5HiRWFQqFQKHaAZVkpKQGnx4auGZho+HBTvbF+i1hRcStdjxIrCoVCoVDsAEusFBZCfLy2JSMogJPSUshICwPKsrI3UGKlG5g+fTrjx48nNjaWtLQ0zjzzTNasWbPd81atWsXpp59OfHw8sbGxHHrooWzevLkbRqxQKBQHHqmpEBcnQbYxMWBrmTHD6Gxo7EVGdD2gYlb2BkqsdAOzZ8/m6quvZu7cuXz11VeEQiGOP/54mlqFlG/YsIHDDz+cIUOGMGvWLJYsWcLUqVNxu93dOHKFQqE4cGgdZOt0gt5iWTHQ2eDPIt1RBSixsjfYrxoZmib4/d3z3i6XnNhtYebMmVvdf/nll0lLS2PhwoVMnjwZgNtuu42TTz6ZBx98cMvz+vXr12njVSgUCsXuGTAAFi2Sv61aKwY6m4KZZNrKgAFUVUEgIIJG0TXsV2LF74fzzuue937nHeio0aOupcd4UlISAIZh8Nlnn3HTTTdxwgkn8Msvv5Cbm8stt9zCmWee2UkjVigUCsXusDKCfD5wOKTWiglsMrKJaSojOlrqrJSWSqVbRdeg3EDdjGma3HjjjRx++OEMHz4cgPLychobG7n//vs58cQT+fLLLznrrLM4++yzmT17djePWKFQKA4cLDdQXR04XRoa0n25yMxEKynekhGkXEFdy35lWXG5xMLRXe/dEa655hqWLl3K999/v+Uxw5DW42eccQZ/+tOfABg1ahQ//vgjzz33HEceeeQej1ehUCgUuyc5GeLjpTCcbtPRtTCGqVNJCsba9aRnSf8glb7ctexXYkXTOu6K6Q6uvfZaPv74Y+bMmUPv3r23PJ6SkoLdbueggw7a6vlDhw7dStQoFAqFomvRNHEFlZaCYbOhayFME7x4qF5TQeZ4eZ5KX+5alBuoGzBNk2uuuYb333+fb7/9ltzc3K3+73Q6GT9+/HbpzGvXrqVPnz57c6gKhUJxwDNggATPhsM6mg4aGn5cVGz2kp4uz1GWla5lv7Ks7CtcffXVvPHGG3z00UfExsZS2iLJ4+Pj8Xg8APz1r3/lggsuYPLkyUyZMoWZM2fyySefMGvWrG4cuUKhUBx4DBgANptknFq1VkLYKaj0kJkaAuzKstLFKMtKN/Dss89SV1fHUUcdRUZGxpbt7bff3vKcs846i+eee44HH3yQESNG8K9//Yv33nuPww8/vBtHrlAoFAceVkYQgN5SosJAZ31zBhnuGgDKy6V4nKJrUJaVbsA0zTY977LLLuOyyy7r4tEoFAqFYlckJUFioiRSNOqyxg+jkx/sTVK4AqczlUAAKirYkh2k6FyUZUWhUCgUit0wYEBLAocm6csGGptDWWhVlSpuZS+gxIpCoVAoFLth4EAJstV0fUutlQKzNxQWbrGmqLiVrkOJFYVCoVAodoOVEWSgYdMMQKOcVELrN6rCcHsBJVYUCoVCodgN/fuLWDERywpIrZXy1dVKrOwFlFhRKBQKhWI3JCVBWhpoOi1xK+DDRcm6RiVW9gJKrCgUCoVC0QaGDgVd1zA0HRMI4qSwWN8qZqWNyZ6KdqLEikKhUCgUbWDYMCkOBzoaUmtlXV0aqYkhbDYIBqGqqpsHuZ+ixIpCoVAoFG1g0CCptWJqGmASRicv0BtbXTVpafIclb7cNSixolAoFApFG7BqrZimlLE10CkIpUNFBZmZ8hwlVroGJVYUCoVCoWgD8fGQkgItRWwx0Sg2MzE3bSY7Wx4rKOi+8e3PKLHSDUyfPp3x48cTGxtLWloaZ5555nYdljVN2+H20EMPddOoFQqFQpGbC7pNJk8TqCWeuuUF9O4t/1dipWtQYqUbmD17NldffTVz587lq6++IhQKcfzxx9PU1LTlOSUlJVttL730Epqmcc4553TjyBUKheLAZsgQ0HQNEyt92U3JqlplWeli9qtGhqYJfn/3vLfLBZrWtufOnDlzq/svv/wyaWlpLFy4kMmTJwOQbjWbaOGjjz5iypQp9OvXr1PGq1AoFIr2c/DBYLNpBDQNTBMfbkrX1jOuRaxUVoLP19JHSNFp7Fdixe+H887rnvd+552On5x1dXUAJCUl7fD/ZWVlfPbZZ7z66qsdHZ5CoVAoOoGhQ8Hu0ABZnQZxsLlAY0qsxLTU1UFhoQTjKjoP5QbqZkzT5MYbb+Twww9n+PDhO3zOq6++SmxsLGefffZeHp1CoVAoWpOSAjExgCZF9w101tfIQlO5grqO/cqy4nKJhaO73rsjXHPNNSxdupTvv/9+p8956aWXuOiii3Aru6JCoVB0K4mJEBcHJUifIAOdjb4MCIXo3dvO8uViWVF0LvuVWNG0fctPeO211/Lxxx8zZ84celuh5Nvw3XffsWbNGt5+++29PDqFQqFQbIvNBjk5sGaVpC6H0CgMp0NhIdnZfQFlWekKlBuoGzBNk2uuuYb333+fb7/9ltzc3J0+98UXX2Ts2LEcfPDBe3GECoVCodgZAwdatVYkK6jSTMG/dI1yA3UhSqx0A1dffTWvvfYab7zxBrGxsZSWllJaWorX693qefX19bzzzjtcccUV3TRShUKhUGxLWhq4nCYaJiY6zXgoXVy6pdZKSQmEQt07xv0NJVa6gWeffZa6ujqOOuooMjIytmzbunreeustTNPkwgsv7KaRKhQKhWJbUlLA4xG7Cmh48VC6spqUFAlFCIdFsCg6DyVWugHTNHe4XXrppVs97/e//z3Nzc3Ex8d3z0AVCoVCsR3JyRAdq6NpErfiw0VpXjOaxhbrigqy7VyUWFEoFAqFoh2kpkJsnN5SaUUjiJ1NJU5ApS93FUqsKBQKhULRDlJTISoKdN0EIISDDbXJgLKsdBVKrCgUCoVC0Q5SU8HptDKCTMLY2ehLB59PWVa6CCVWFAqFQqFoB0lJYllx2MWyEkanOJxGML9wi1gpLJR+dYrOocvEysaNG7n88svJzc3F4/HQv39/7rjjDgKBQFe9pUKhUCgUXY6uQ3o6uJzSIchEo96MpWTuJtLTpXCczydNDRWdQ5eJldWrV2MYBs8//zwrVqzg0Ucf5bnnnuPWW2/tqrdUKBQKhWKv0KsXuDwaNsJoQB1xFC6uxG6HjAx5jnIFdR5dVm7/xBNP5MQTT9xyv1+/fqxZs4Znn32Whx9+uKveVqFQKBSKLic1FdweHYfmJ2TaaCKaotUNgGQEFRaKWBkzppsHup+wV2NW6urqSEpK2ptvqVAoFApFp5OaCq5oG049CIAfN5vzpWxtnz7ynE2bumt0+x97rZHhhg0bePLJJ/nHP/6x0+f4/X78fv+W+/X19XtjaAqFQqFQtIvUVHC7NRw2Ey0MBhqLyrIA6NtXnvP/7d13eBTV+sDx7+xudjcdAglJSAihl1AUkPJDOgHEK4gNRYSrcn9IEbAgyM8rVhAVG4pdUdQoIghXRVBJECGaAJEqRBN6CgHS6+7O748jy40Uk5BkN+H9PM88CTOzO+8c53nyeuac9xw86LLw6p1K96zMnz8fTdMuuiUmJpb7zPHjxxk+fDg33XTTRde5WbBgAf7+/s4t/Myw6npmwYIF9OjRA19fX4KCghg9ejT79+8vd05+fj7Tpk0jLCwMT09P2rdvz9KlS10UsRBCiP8WGAgWC2A0YsAOaOwtbI5eUupMVg4dAofDhUHWI5XuWZk2bRpjx4696DnNz/yXQiUqAwcOpHfv3rz55psX/dzcuXO57777nP/Ozc2tlwlLXFwcU6dOpUePHthsNubNm0d0dDR79+7F29sbgFmzZrFx40aWL19O8+bNWb9+PVOmTCE0NJRRo0a5+A6EEOLyFhSk1gFyGEwYsWPHSKa9Ebm/ZxLSPgyzGUpLIT0dQkNdHW3dV+lkpXHjxjRu3LhC5x47doyBAwfSrVs33nvvPQyGi3fkWCwWLBZLZUOqc9atW1fu3++99x5BQUFs27aNfv36AbB161YmTJjAgAEDALVO0BtvvEFiYqIkK0II4WLOnhWDEQNq3EqB7k3q9sN07RhGRAQkJ6tXQZKsXLoaG2B7/PhxBgwYQHh4OM899xwnTpwgPT2d9PT0mrokuq7mtrtiu5TiPzk5OQDlBh/37duXNWvWcOzYMXRdZ+PGjRw4cIBhw4ZdajMJIYS4RFYr+PuDxQoGHGjo2DCyJVbVEjszyFbGrVSPGhtgu379en7//Xd+//13ws4slvAnvYbK+pWUwE031chX/60VK9TDW1m6rnPffffRt29foqKinPtffvllJk2aRFhYGCaTCYPBwNtvv03fvn2rMWohhBBVFRgIVi8DRQY7JQ4HNoz8nGhgCjLItrrVWM/KxIkT0XX9vJs4a9q0aezcuZNPPvmk3P6XX36Z+Ph41qxZw7Zt23j++eeZMmUK3333nYsiFUII8d8CA8HqbcRDs2HAjgMjuw/5oeuSrFS3Wpu6XBssFtXD4aprV9b06dNZs2YNmzZtKtf7VFRUxMMPP8yqVasYOXIkAJ07dyYpKYnnnnuOIUOGVFfYQgghqigwECxWAyaDjsHuwI5GZqE3R46cTVbS09VQgar0vIuz6lWyoml144HQdZ3p06ezatUqYmNjiYyMLHe8rKyMsrKycwYkG41GHDIPTggh3MKZGUGa0YChTEfDQZHdzNYfCrlloheNGsHJk5CaCu3buzrauk1WXXaBqVOnsnz5cj7++GN8fX2dA4+LiooA8PPzo3///jz44IPExsaSmprK+++/zwcffMD111/v4uiFEELA2RlButGIAR0DDuy6gdh1xQC0aKHO++MPFwZZT0iy4gJLly4lJyeHAQMGEBIS4tw+/fRT5zkxMTH06NGDcePG0aFDBxYuXMhTTz3F5MmTXRi5EEKIM84kKw6DB4Aat6Ib2L1H49QpaNlSnSfJyqWrV6+B6oqKDDIODg7mvffeq4VohBBCVEVgIJhMoJmMGLABGgbsFOXZ2Lr1bLKSkuLSMOsF6VkRQgghqqBhQ5WsWL0NeGg2NEDDQXGBnZ9+OpusHDoEZWUuDbXOk2RFCCGEqAJNg8aNweJlwqypYnAODBQV6uzeDR4e4OsLdjscPuziYOs4SVaEEEKIKgoMBIuXAQ/NjgboGNBsZeh2B1u3yiDb6iLJihBCCFFFgYFgtWoYjAaM2HGgYdZLKMsrJjZWBtlWF0lWhBBCiCoKCvqzKKjJiAYY0LHoxRTllLB3LzRqpM47cMCVUdZ9kqwIIYQQVaR6VkA3eqCjoQM2h5EmFrVAbUaGOi81FUpLXRdnXSfJihBCCFFFQUFqRhAeJgw40NEo0i0EkglAYqJandluVwmLqBpJVoQQQogqCg5Ws4IMZg/MWhngoED3wph7CosFjh9XU5xBXgVdCklWhBBCiCoKDASDAcw+Hli0EgBKsHA0y4ure9sAyM5W50qyUnWSrAghhBBVZDT+uaChjwkPzY4RHR2N7GIr3cPSATh2DGw2SVYuhSQrLrBgwQJ69OiBr68vQUFBjB49mv3795c7JyMjg4kTJxIaGoqXlxfDhw8nOTnZRRELIYS4kODgM9OXtT9nBDkosnlgykqjeXM1WygrS70SystzdbR1kyQrLhAXF8fUqVOJj49nw4YN2Gw2oqOjKSgoANTaQaNHjyYlJYUvv/ySHTt2EBERwZAhQ5znCCGEcA/BweDpCRjVcnsaOkV2M4d25zNihBqAm58Pug6//ebaWOsqWcjQBdatW1fu3++99x5BQUFs27aNfv36kZycTHx8PLt376Zjx44AvPbaawQFBfHJJ59w9913uyJsIYQQ56F6VkA3mZzTl4scZlIPlDFjEHz4oXpdlJ0Ne/dCjx6ujrjuqVfJiq5DSYlrrm2xqBHhVZGTo+bjBwQEAFDy501YrVbnOUajEbPZzObNmyVZEUIINxIcrJIRD4sBY54dG0YKdU9SDhqwWuGaa9S05fR02LfP1dHWTfUqWSkpgZtucs21V6xQmXVl6brOfffdR9++fYmKigKgXbt2REREMHfuXN544w28vb1ZvHgx6enppKWlVXPkQgghLkVwsPpp9DRj0Qqx6VaKdCtHs70pOn6akSMb8tFHKmFJTFQrMHt4uDbmukbGrLjYtGnT2LlzJ5988olzn4eHBytXruTAgQMEBATg5eVFbGwsI0aMwGg0ujBaIYQQf3UmWdGsZjy1YgyocSvFZSYObk0jIACuvVYlKIcOwe+/uzTcOqle9axYLKqHw1XXrqzp06ezZs0aNm3aRFhYWLlj3bp1IykpiZycHEpLSwkMDKRnz5507969miIWQghRHby9wdcXPH1MlGoODDgwYaPQ5kHKttO0vwFuuQVeew1OnoRvv4X27V0ddd1Sr3pWNE29inHFVpnxKrquM23aNL744gt++OEHIiMjL3iuv78/gYGBJCcnk5iYyKhRo6qhpYQQQlSn4GBVa+VM57eGTpHNg5S9xYAqHnf11erY55+rMZai4upVslJXTJ06leXLl/Pxxx/j6+tLeno66enpFBUVOc9ZsWIFsbGxzunLQ4cOZfTo0URHR7swciGEEOfTpAl4empgMuLAgB2NIruFlP9aD2jSJFXtNiUFYmNdFmqdJMmKCyxdupScnBwGDBhASEiIc/v000+d56SlpTF+/HjatWvHvffey/jx48uNaxFCCOE+QkLUmBQPswEDDsrwoFD35FCGFVuhWm75yishMlItarhkietmr9ZF9WrMSl2hV6D/79577+Xee++thWiEEEJcqjMLGnr5gEe2jWI8KMNEUamRw1uO0mJICwwGGDYM3nkHDh6Ejz6CO+90deR1g/SsCCGEEJfozIwgg6cVT60YIzpmyigq8+DAlizneVdeCRERquz+6tWyXlBFSbIihBBCXKIzyYrdaMFqKMGAAyN2Cm1mkpPOLpPSuTM0aKAmZtjt8MILUFzsmpjrEklWhBBCiEvUuLGqYmv2MuJhsKOjga7WCEr+4+x00WbNwN8fmjZV5x89Cq+/7sLA6whJVoQQQohLZDBAUBB4+nlgNOKcEVRot3Aow0pJrhpNq2nQtata3LBnT/Xv779XtVfEhUmyIoQQQlSD4GDw8DLjabJhxE4RXtgwYbfppGw66jyvWzf1MyMDbr9d/b50Keza5YKg6whJVoQQQohqEBwMmkGjgU8ZJuw4MGDSyigpM3Jg60nneVdeqXpUUlNh0CDo10+NX3n6aTVLSJxLkhUhhBCiGoSEqJ8WXwtWrRij6lehwGbmwM6zo2j9/aF1a/X7jh0wYwa0awf5+fDII3DsmAuCd3OSrAghhBDVoEkT9VOzmvEylKABBhwU2CzsPVB+Edozr4ISE8FshvnzVcG47Gx46CHpYfkrSVaEEEKIanCmZ6XE6I2nsRQdA7oDCu0WsrI9yErJdZ57Zk3a7duhtFQthvjEE9CiBeTkwJw5kJDggptwU5KsCCGEENXgTLKimy2YTXYcaBTpVrXQrcPOvg1nB9m2bg2NGqkaK7/+qvb5+6txKx06QEGBSl5iYmTRQ5BkxSWWLl1K586d8fPzw8/Pj969e/PNN984j+u6zvz58wkNDcXT05MBAwawZ88eF0YshBDi71itf9Zb8bLQyFKgisLhidVQRnGZkX3x2c5zNQ169VK/b9169ju8veGpp+Caa1SS8tFH8OST6vXQ5UySFRcICwtj4cKFJCYmkpiYyKBBgxg1apQzIVm0aBGLFy9myZIlJCQkEBwczNChQ8nLy3Nx5EIIIS6maVPAaqGxZz4m7Bix46HZKCgzs2+3o9y5vXurnz//rGYDnWEywT33qIG3Hh7wyy8weTKsX3/59rJIsuIC//jHP7jmmmto06YNbdq04amnnsLHx4f4+Hh0XefFF19k3rx5jBkzhqioKJYtW0ZhYSEff/yxq0MXQghxEU2bAiYTFqsBT0MRmqajYafQZiHlmIXigrNZSceO4OMDubmwd++53zVkCDz3HLRsqV4LvfIKzJ17ea4nVK+SFV1X7/9csVU127Xb7cTExFBQUEDv3r1JTU0lPT2d6Oho5zkWi4X+/fuzZcuWamopIYQQNaFpUwANvDzxNpSArlHmMOFwgMOu89t3Z8etnKliC7B58/m/r0ULeP55uPtusFhgzx64/354/HFISanx23EbJlcHUJ1KSuCmm1xz7RUr1PvKitq1axe9e/emuLgYHx8fVq1aRYcOHZwJSZMzc+D+1KRJEw4dOlSdIQshhKhmKlmBErMvXqZS7DYjBTYr3h6l6HYHv36fRddREc7z+/dX5fZ//BEmTVIJzF8ZjTBqFPTpAx9/rM5PSFBb165w3XVqdpGmnfvZ+qJeJSt1Sdu2bUlKSiI7O5uVK1cyYcIE4uLinMe1vzx1uq6fs08IIYR7OZOsZNOARubDpBTrFOlWAk35FJaZ2LWttNz5Z1Zhzs6GpKSzU5rPJzBQjWO58Ub45BPYtEl9JilJzUQaMkRVwz2zAnR9Uq+SFYtF9XC46tqVYTabadWqFQDdu3cnISGBl156iYceegiA9PR0Qs7MgwMyMzPP6W0RQgjhXoKCVO+IzcOTFn4nSMxtDehYTTYKyiwkH4SiAgee3moUhtEIV18Na9dCXNzFk5UzmjaFBx6A8ePhq6/UwNu0NPjwQ7W1a6d6bK6+Wk2Hrg/q1ZgVTVOvYlyxXWqnh67rlJSUEBkZSXBwMBs2bHAeKy0tJS4ujj59+lxiCwkhhKhJBsOf9VYsVgI8i/HUSjBoOmV2Dc1hw2FzsGfD8XKf6d9f/dy6FQoLK36tJk3gzjvh/fdh5kz1SkjT4Lff4I03VDLz0EPw+edw5EjdnklUr3pW6oqHH36YESNGEB4eTl5eHjExMcTGxrJu3To0TWPmzJk8/fTTtG7dmtatW/P000/j5eXFbbfd5urQhRBC/I2mTeHIHxY8jSV4aUVk634U2sx4asWAzs7vT9B9dJjz/DZt1GeOHVNjV4YNq9z1rFYYPFhtp06p74iLg+RkNcto715Ytky9HurRA666Ss1E8vCo3vuuSZKsuEBGRgbjx48nLS0Nf39/OnfuzLp16xg6dCgAs2fPpqioiClTpnD69Gl69uzJ+vXr8fX1dXHkQggh/k54OMSbzTgMJryMxWTZAsi3WbFabdjKbCQllpU7X9NUgvLuu+qVTmWTlf8WEKAG444aBSdOqEG4v/wCO3dCerp63bR2rUpwunRRr526dVPjYdyZpuvu2zGUm5uLv78/OTk5+Pn5lTtWXFxMamoqkZGRWCszDaeekvYQQgj3sHEjLF4MHY+tZ2eylW0F7fDSimjrn0FBqQcN/BwsS+pCQNDZ/oKcHJgwQRWHe+UVaN68emMqLlYDcX/5RS2eePr02WPNmsGrr1bv9S7297sq6tWYFSGEEMLVmjVTP484mtLZ/xAaoAO6wYAnRWC3s33tsXKf8fc/W3Nl3brqj8lqVeX9771XvRJ66SU1pqV9e/VayN1JsiKEEEJUo7Aw9WonV/Mjwu80nloRmg4FpR4YNVXBdtuGU+d8bsQI9fP77ys30LayNE0Vm7v5Zli0CO64o+auVV0kWRFCCCGqkcWipjBjteJrKcXbUIRdM1JQZqFY88Ruc7Ajqfx6QKDGkISHq1c2339fe/HWhRJeNZqsXHfddTRr1gyr1UpISAjjx4/n+PHjf/9BIYQQog5r1gywWvHQbHgbiinVzdh18DbbcNh0CrLL2L+joNxnNA2uvVb9vnZt3Z5qXN1qNFkZOHAgn332Gfv372flypX88ccf3HjjjTV5SSGEEMLlVLLiSbbNl2bmdHQ0Su0mNKOBBqY80CF+5bn/8z5oEHh7qyJv8fG1H7e7qtFkZdasWfTq1YuIiAj69OnDnDlziI+Pp6ys7O8/LIQQQtRR4eGAycRhe1O6N/gdg+bArhspLjNw5q1LfGzROb0nViuMHKl+X7FCelfOqLUxK6dOneKjjz6iT58+eFygEk1JSQm5ubnlNiGEEKKuOTMj6LAeTgf/Y3hrRTjQyC+zkoc3mr2MtMM2DqXYz/nsddeB2ayKuu3aVcuBu6kaT1YeeughvL29adSoEYcPH+bLL7+84LkLFizA39/fuYWHh9d0eEIIIUS1O/PnK1trSFO/PHwMhRTrFgyajmbyINiUBTYb8V+c+yrI3x/+rBFKTEwtBu3GKp2szJ8/H03TLrolJiY6z3/wwQfZsWMH69evx2g0cscdd3ChOnRz584lJyfHuR05cqTqdyaEEEK4iNX65+rHViuYjDT0yMemm7DZ1d8/q9kBwE/f5p338zfcoBZE3LVLVZ+93FW63P60adMYO3bsRc9p/l+l9xo3bkzjxo1p06YN7du3Jzw8nPj4eHr37n3O5ywWC5bKLl8shBBCuKHISEjf58mRokCu9Etmb3Ek+XYvGtmKyMOMSbNxMNnGkcM64c3Kzx8ODFR1V9auVSspL1pUN6YY15RK96w0btyYdu3aXXS7ULn3Mz0qJSUllxZ1PbJgwQLn4oX/bd++fVx33XX4+/vj6+tLr169OHz4sGuCFEIIUWnNmwOenqQWNqGH1x6shlJsDgMFDitZemPaWg5BcTGxn2ed9/M33qjGrvz2myqTfzmrsTErv/zyC0uWLCEpKYlDhw6xceNGbrvtNlq2bHneXpXLUUJCAm+++SadO3cut/+PP/6gb9++tGvXjtjYWH799VceeeQRWfNHCCHqkMhIwGLhYEkIUX5H8DEWUeDwxNtUCppGgG8pAHFrcs476+fMooSgFjm02WovdndTY8mKp6cnX3zxBYMHD6Zt27bceeedREVFERcXJ696gPz8fMaNG8dbb71Fw4YNyx2bN28e11xzDYsWLeKKK66gRYsWjBw5kqCgIBdFK4QQorKaNwc0jcN6OC0DTtPAlE+Zw4TDrsar5JZYsBpLyUgtZP9v5x/LeeONasDt8ePw1Ve1F7u7qbFkpVOnTvzwww+cPHnSuSLw0qVLadq0aU1dEl1XZYpdsVV2LvzUqVMZOXIkQ4YMKbff4XDw1Vdf0aZNG4YNG0ZQUBA9e/Zk9erV1ddQQgghalxwsBpfW2bxJovGXOH7O2hworQBDruDvXnhdPfdD8XFfPfZyfN+h5cX3H67+v3jj+Hk+U+r9yo9wNadlZTATTe55torVqiHsiJiYmLYvn07CQkJ5xzLzMwkPz+fhQsX8uSTT/LMM8+wbt06xowZw8aNG+nfv381Ry6EEKImaJrqXfktxZPUomB6NUrmy6y+FNrNmM1QZvcgPLAEsiHuP/nc/VDj8/4diY6G776D/fvhjTfg4Ydr+05cTxYyrGVHjhxhxowZLF++/LxjUBwO1T04atQoZs2aRdeuXZkzZw7XXnstr7/+em2HK4QQ4hL89yDbrr4p+JoKybN50cBDrQuUVeZHU+tJitOz2RTrOO93GAwwbRoYjbB1K2zZUnvxu4t61bNisageDldduyK2bdtGZmYm3bp1c+6z2+1s2rSJJUuWUFBQgMlkokOHDuU+1759ezZv3lydIQshhKhhLVsCVk9+zwxhnN9aGlvzOZnrR06RBdD55VgYo8MSWJbaiHXLs4gefv6xic2bq9orn32mele6dFFrCF0u6lWyomkVfxXjKoMHD2bXX+on//Of/6Rdu3Y89NBDWCwWevTowf79+8udc+DAASIiImozVCGEEJdIJSsW/igKxehhoJffPvbnhnCkJJBI3yxyyrwICTdhOmgneUce+/cH0bbt+b/rllvgp5/g2DF47z3V23K5kNdAtczX15eoqKhy25nlCKKiogBV9ffTTz/lrbfe4vfff2fJkiWsXbuWKVOmuDh6IYQQldG8OZg8DOSZGpJpCKZvg11YjDayy7yJ8M8GYGdWU/o32g2nTrPm89ILfpfZfDZB+fbby+t1kCQrbuj666/n9ddfZ9GiRXTq1Im3336blStX0rdvX1eHJoQQohI8PCAiAvDy4vfCUK4MScfPo4g8myemsmIAfvqjCf/odBAcDjavPUXW+WvEARAVBWPGqN9ffhnS02v8FtyCJCtuIDY2lhdffLHcvjvvvJPk5GSKiopISkpi1JnKQEIIIeqU1q0BTy9+LwihqW8uEd4n0XU4kBuMj6WMnBJPCpq0oLPfQRwZJ/hy9cVrYYwfD+3aQUGBKsNfVlY79+FKkqwIIYQQNahlS/7sWQlBKytlSGASmgYHCprSOeQEALG/NWFMeAIUFvHNijxyci78fSYTzJ4Nvr6QnKzGr9R3kqwIIYQQNah1a1SyUhCCXlRMv4a78TEUkW3zpqEhG4DNuxvScWAQrb2PU3Ikk7+rAxoYCLNmqd/XrlVjWOozSVaEEEKIGhQRASZPD/I1P9IdQXRqdJzG1nxK7UYOpPvRpEEJRTYPfs7rwK1NN8Gp0/xnZclFe1cAevSA225Tv7/2GmzbVvP34iqSrAghhBA1yGQ6+yrot/wwzAE+9AnYBwYDP2V35OoWRwH4/kcz3ftaae11jOLDmcTE/P13jx0LgwaBwwELF0JKSs3ei6tIsiKEEELUsHbtAC9PfssPA6uVa4ISMRvtZJb4E6xlggZJqX6c6NCfieHfw4lMvvmPjWPHLv69mgbTp0Pnzmqdusceq58zhCRZEUIIIWqYSlZUzwo2Gz0bJhNgyqPQbiUxpQFdW+Sh6xrrNlro3L6M7j6/YU/LrNDgWZNJrRfUrBmcOgVz59a/hEWSFSGEEKKGtWsHeHuTWtSE4sxcfL0d9GzwGxgNfJvZjeEdjwCw/gcTZf8Yw53h32HMOM7PW+0kJv7993t7wxNPQNOmkJWlkpfMzJq9p9okyYoQQghRwxo3hsZhVnSDiQPZQRASwpgmWzCaDBwpDqThyWQCfMvIKTKzdX8A4ZEmrgv4CTIzefNNKL1wYVungAB4+mmVsJw4oXpY0tJq/t5qgyQrQgghRC1o104D7z9fBfn50bfRPgI8iyh0WPh6XwuGX3UKgNUf5aPfeBO3Nt1EwMlk0o7aWb68Ytf474QlMxMefFDVYqnrJFkRQgghakH79oC3N/vywwDwMRXT228PeJhZk9GTEa2SMZvsJB/1Yk9hJJ7NApnWdDWkp7F6NezeXbHrBATAggVqBlJOjnolVNenNUuy4mILFixA0zRmzpzp3Kdp2nm3Z5991nWBCiGEuCQdOwLePuzJi8CeWwAeHtzaeD1Gi5GDRU04tvUwg6/KB+CL19Lhjjvo0SCZYfq36KWlvPACFBZW7FoNG6qEpWtXNUvo8cfh669Bv3glf7clyYoLJSQk8Oabb9K5c+dy+9PS0spt7777LpqmccMNN7goUiGEEJcqMhK8Az0psptJ+a0U2rWjb8A+gv2KKNEsfHKwF6P7ZqFpOgm7LKQaW0HbttwV8jVNsveTmQlvv13x63l6wqOPwsCBqg7L0qXwyisVG//ibiRZcZH8/HzGjRvHW2+9RcOGDcsdCw4OLrd9+eWXDBw4kBYtWrgoWiGEEJfKYICoblYwmdh1OgxCQjAbbESH7QWzhW8yuxOU/BN9o3JAh4+fTIH//V88TWXMsr6OVpDHhg2weXPFr2kyqbL8//ynqsmyYQPMmcNFV3Z2R/UqWdF11d3liq2yXWtTp05l5MiRDBky5KLnZWRk8NVXX3HXXXddQssIIYRwB506a+Djza68CDCbARjvvRIPbw+OlzZi868+3HqLA03TiU8wkpLTCIYOpaPvYW4wrAbdwQsvVK5SrabBmDHqVdCZxQ9nzqz4GBh3YHJ1ANWppARuusk1116xAqzWip0bExPD9u3bSUhI+Ntzly1bhq+vL2PGjLnECIUQQrhap06Ajw970iKwn9qC0dubDvkHaNusmN15Ft4+PIzl6Zvp16EbcXsa88H8FOZ/dAf8/DPj9RWkeHRme2kXnngCXnwR/P0rfu2uXeGFF9RsoZQUmDcPJk6E0aNVQuPO6lXPSl1w5MgRZsyYwfLly7FWILt59913GTduXIXOFUII4d4iI8EnyJsiu5nfE7OhUyc0De64YidYLGw+3YHszbu57S5PjJqDbYk6SdvsMGUKBk1ndulTNPXJIStLJR02W+Wu36QJLFoEAwaocSzvvlu176lt9apnxWJRPRyuunZFbNu2jczMTLp16+bcZ7fb2bRpE0uWLKGkpASj0QjAjz/+yP79+/n0009rImQhhBC1TNOgcx9vtuyAHakNaHtzBMTHc4t5NU8H9CK7yJt3jkRz/4lfGdmtOWsSQ3nn0cO8FNcHQ//+eMfF8YjHQu6zPsnevUaefx4eeAD+/LNRIRYL3HcfdOgAb74JDRqosS3urF71rGiaehXjiq2iXWiDBw9m165dJCUlObfu3bszbtw4kpKSnIkKwDvvvEO3bt3o0qVLDbWYEEKI2tatpwd4ebEtp5Wqkw9YU/YybGAJWK18fKw/+sZYxt4XirepmIPJpaxblgH/+78QEEDT07uZ02EtJpMabPvCC6qXpDI0DUaMgMWLYdKkGrjJalavkpW6wNfXl6ioqHKbt7c3jRo1Iioqynlebm4uK1as4O6773ZhtEIIIarblVcCPr7sL2hKXsoJ9W5I17mv/zZMFhNH7cF8lXYFvnviuX1oJujwwbMZZNt8YNo0AK7Y/g5zrtmJ0QhxcfDyy1WroRIZ6Rzn69YkWXFTMTEx6LrOrbfe6upQhBBCVKPGjaFZSw90XePXH3OhRw8Amh/ZTK9egNXKktRr4fvvuWZGa1r5ZVBwspi3/u+QOnf0aAB6rn+C2RMyMBjg++/h+eehrMx191WTJFlxA7Gxsbz44ovl9v3rX/+isLAQ/8oM9RZCCFEndBvkB8C2fV5/1uEHtm9n1r02MJpIKm5D0ulmGNavY8pkHU3T2bQmm03ri9UUns6dobiYPuv+zf1Tipw9LP/+N+Tnu+6+aookK0IIIUQtu/JqH7BaScxuhaOkTI1yLSigr+9O2rcH3eLFk7+Phc2baT0onFva74LSUl57+ChZp40wezYEBsLx4/Tb+gyP/p8dT09VO+WBByA93dV3WL0kWRFCCCFqWVSUKr2fXebN/u+Pot7/AFu28MADgNHITwVd2ZMbDsuWccuz3WntfZyCo6d44eET6H7+qlCK2QzbtnHF5ldY9IxO48Zw7JiqWluBUl51hiQrQgghRC0zmaB7TzVfeGtcKfzP/6gD8fGMHG6ndWtwWDx5LGU8/PEHpszj3D/xJBatjJ3rjrE6plgtqzx7NmcGrTT/4V2ef06nTRv1Kujxx2HZMrDbXXij1USSFSGEEMIFeo8KAiD+90boYeHg4wM5OWh793D//aAZDGwuuIKfT7eB99+n6cSh3NU5AUpKWfbUEXbv0qFnT7j3XvWFq1cT8MPnPPMM/OMfatfnn6sOmMxMF91kNZFkRQghhHCBbv288fCxkFYcwOGNf5x9FfTTT4wercbd2j0sPHL0XzgKi+H99xm+OJqrG+3FfuI0T087RkYGMHgwnFk/7oMPMH25kn/9Cx56SNUB27MHpk+H2FgX3Wg1kGRFCCGEcAGrFa7orOrcb15zEvr1Uwd+/BHNbuORR8Bk0thV2JIVGf0gIQHt6BFmPBZAK+808vYf5/EZJyksRE1nPlPq4v33ISaGvv+j8/LL0K4dFBaqqc3PPls3ZwtJsiKEEEK4yNXXNgAgLt6KHtUJGjaEvDzYvp2BA+Gqq8ChmXjm5N2cLPWFt97C0vtK/m/iUQI88jj84yGeeyxfjUu57TYYP1598UcfwQcfEBKss3AhjBunhrZs2qR6WXbtctktV4kkK0IIIYSL9LolArOHg7Rcb36PO3a2dyU2Fk2DJ59UQ1mOF/rz1Okp6MUlsGABjWaOZ96geMyOYhI+O8hLz5WpCrY333z2ldDnn8PSpRg1B2PHqgUMQ0IgK0uNY3nvvbpTRE6SFSGEEMJFrD4menUqACDuswy1HDLAzz9DQQEdO8JNNwForM3qzddFA+DwYVi6lDbPTuKhLuswFuWz8e0/ePUlm0pYRo+Ge+5RCwB98w088wyUltK2rSrLP2yYKs3/xReqJsuRIy659UqRZEUIIYRwof4j1GKGP/5kwN68JYSHQ2kp/PgjoFZIjoyE3AIjC7Pv4WBJiFrB8KuvuGrJHTzQ4Su0vBy+fT2Ft990qITlmmvUtGaTCbZsgUcfhYICrFa1vNC8eeDrCykpMH8+2Gyuu/+KkGTFxRYsWICmacycOdO5Lz8/n2nTphEWFoanpyft27dn6dKlrgtSCCFEjbny5lb4mQo5ddLB9rg81fUBsH49AEFBKmFp0ABS0r14yvQopQ6T6hrZu5e+L93MjFZfw+ls1rx8kNde1dUqzH37wmOP4SxtO3cunDoFqIlHS5ZAt24webLKadyZJCsulJCQwJtvvknnzp3L7Z81axbr1q1j+fLl7Nu3j1mzZjF9+nS+/PJLF0UqhBCippiCGzOwQwbosOHDNBg4UGUPycmq6wO4/nro31+92dmc2pQ3g/+tPvz225CTw+Dnr2F6i6/QTp5g3dJUnlvkUL0lnTvDwoUq00lNhQcfhOPHAQgIUB0uf66j6NYkWXGR/Px8xo0bx1tvvUXDhg3LHdu6dSsTJkxgwIABNG/enH/961906dKFxMREF0UrhBCiJkWP8QHgl60Osh1+Z2uufPstoHKXOXOgdWvVOfLR3q78p9k9avDJ88+Dw0H0M4OZ3WoVppMZ/LgshScec1BcDLRooeYsh4So6nCzZ6tECJX81AX1KlnRdSguds2m65WLderUqYwcOZIhQ4acc6xv376sWbOGY8eOoes6Gzdu5MCBAww70zUohBCiXmk26gra+hzDnpPPD18VwYgR6sD33zsLo7RoAVOnQlgYHDqk8dKBESRG3qQGnCxcCAYDfZ8bzSPtP8eSncH2z5J56AEbWVlAcLCaDtSyJeTkwMMPQ1KSy+63stz8LVXllJScGTVd+1asUAV+KiImJobt27eTcIFVpl5++WUmTZpEWFgYJpMJg8HA22+/Td++fasxYiGEEG4jNJRhUcfYH9+Urz86xei1nTA0bw4HD6relRtuAGDMGNi+HdasgQMHNJ72Gc/iLqU0//VLlYzMmsWVi2/nqYfe5Ym9Y0j52sb9Wa145EkLrVo1gAUL4OmnVaLy2GNqxcMz06XdWL3qWakLjhw5wowZM1i+fDnWC2Q3L7/8MvHx8axZs4Zt27bx/PPPM2XKFL777rtajlYIIURt6XdjED6mIjJ+zydxmwajRqkD//mPc7qOwaDK6F95pVpwec9ejflH7iK95yjVxf/CC3D0KG1fmsLiqz6lmeMgp37ax5zpBcTHowbbPvqoSlBsNvV6aM0a1910BWm6XtkXGLUnNzcXf39/cnJy8PPzK3esuLiY1NRUIiMjnX/0dV31rriCxVKxd3+rV6/m+uuvx2g0OvfZ7XY0TcNgMJCTk0PDhg1ZtWoVI0eOdJ5z9913c/ToUdatW3fe7z1fewghhKhD0tJ4b8SnfJHeh663d+KJp41w553qtc3s2XD11c5TDxxQY2V//VVNQe7eTWdBhw8J/nGFOuGGGyA6moJHFrLox95sz2+N1rIlE2c15PrrQUOHt96CtWvVQJhFi6p1StDF/n5XRb3qWdE09SrGFVtFBykNHjyYXbt2kZSU5Ny6d+/OuHHjSEpKwm63U1ZWhsFQ/j+N0WjE4XDUQKsJIYRwCyEhjOyTjYZOUlwOh9LMql4KwF9mg7Zpo3pY2rX7szr/Do25e8eTft0kdcLKlfDJJ3g/9xj/vmEP1zT6Bf1AMu89cZSXXnRQZtNg0iSYMkX1tLj53OV6lazUBb6+vkRFRZXbvL29adSoEVFRUfj5+dG/f38efPBBYmNjSU1N5f333+eDDz7g+uuvd3X4QgghalDQtVfRu+FvkJXFF1+gkhWTCfbvh99+K3dunz4wcya0bas6X7bv0Ji75ToO3/oQGI1qmeXFizE+/BCTp5n4V8Q6tLRjfL80mXkPlpKTq6mBvP7+rrjVSpFkxQ3FxMTQo0cPxo0bR4cOHVi4cCFPPfUUkydPdnVoQgghatLVV3Nj2M9QWEjcNwWcKGtwtgT/qlXnnD58uBojeyZh2bYNHvyyL0k3P626/ZOS4OGH0a4fzT+e7c9jUZ/jXZDBvi/2MuuuXFJTa/Pmqq5ejVm5nEl7CCFEPbFwIfPeacFOz6u4bnpzJkUfUjXyAV55BZo3P+cj69ersbXJyeDhAa1awbTrjzFs4xzIzla9Jw8/DF5eHJv3Go9vHsTx0kZYWzfj/kVNnGVdqkudHLNSUlJC165d0TSNpDo0r1sIIYSodcOHc2PIT5B1knVf2TnlG6FK5wMsX37ej0RHqzG4HTuqGUN79sALnzXl1Y6vURrRWnW7zJsHBw7Q9M1HeW78r3TxSaF4/yHef2A3tmL3XhyoVpKV2bNnExoaWhuXEkIIIeq2Ll3o2qaQ9p4HKc04xeefA7fdpmZy/Pyzs/rsXw0cCE89pSrsN2gAe/fCyvW+3G9fxLFOw9VU5VdegY8+wnf+/cx/3MD1IfH839VxmCzG836nu6jxZOWbb75h/fr1PPfcczV9KSGEEKLu0zS04cO4PSwWMjL45hudE9ZwlY3ABXtXAKKiYPFiuOoq9bYoORl+3mZi5oEp/NBllqq2vnYt/PvfmEYM5c4PBhD27zvdvu5+jSYrGRkZTJo0iQ8//BAvL6+/Pb+kpITc3NxymxBCCHHZiY6mU6PjdDLuxXY6nw8/BMaOVbN8tm9X3SYXEBKilgsaMQI6dFBrCe3eo/Hc9kEsaraEfFMD2LULZsxQA1w8PWvttqqqxpIVXdeZOHEikydPpnv37hX6zIIFC/D393du4eHhNRWeEEII4b78/NAGDeSfYd9BRjobN8IfhSEwdKg6/uGHF12UzttbLXw4daoax+LlpfKb9fsjmO7xOju9eqksZu5c1dPivnNtgCokK/Pnz0fTtItuiYmJvPLKK+Tm5jJ37twKf/fcuXPJyclxbkeOHKlseEIIIUT9cN11tPZJY4DhRygu5u23Qb/5FlVnf/du+Omni35c0+C661Rx2i5dIDISUlJgz0Fv/i9/Du9ap1BWBsTFgd1eO/dURZWeupyVlUVWVtZFz2nevDljx45l7dq1aP/1Hsxut2M0Ghk3bhzLli3722vJ1OWKk/YQQoh6aP58TmxJZnLGY5Q2a8V998HAtI/hk0+gcWNYurRCq+jm5cGLL8LWrXDkCJSWQmSkTlvLQR543J/wLgHVGnZ1T12usTorhw8fLjfm5Pjx4wwbNozPP/+cnj17EhYW9rffIclKxUl7CCFEPbRvH8yezecZfVnWYCb+QRZef7kUnwfvgcxMuOUWuP32Cn2VrsPXX8O770JGBhw9CuHhqnT/G29Ub8X9OlNnpVmzZuVKyrdp0waAli1bVihREUIIIS577dtD166MDtxCeNEBcnLgzffNcNdd6vgXX0B6eoW+StNg5EhVPO6KK1TV24wMCAqqwfiriZTbF0IIIdzZbbdhMjiYYV6KVlrCxo2w2d4bunaFsjK1enIlNGumZgvdeKPqVfHxUZOM3FmtJSvNmzdH13W6du1aW5esExYsWICmacycOdO5LyMjg4kTJxIaGoqXlxfDhw8n+QJFgIQQQtRz7dtDly609TrCzcGbAHj1NY1TN09WWcYvv8DmzZX6SrNZLbr8xBMwfbrbl1mRnhVXSkhI4M0336Rz587OfbquM3r0aFJSUvjyyy/ZsWMHERERDBkyhIKCAhdGK4QQwmVuvRWAsdmv06ppIfn58NLnTdFvvEkdf/11VVK/kq64AqphSEmNk2TFRfLz8xk3bhxvvfUWDRs2dO5PTk4mPj6epUuX0qNHD9q2bctrr71Gfn4+n3zyiQsjFkII4TIdO0LnzpgcpdwXuByzWdWGW+M1VpWqzclRo2TrqXqVrOg6FBe7ZqvsnKqpU6cycuRIhgwZUm5/SUkJQLkZPUajEbPZzOZKdvMJIYSoR/75T9A0wpPWctewowC8u8zIr9EPqtULf/wRtmxxcZA1oxonKrleSQncdJNrrr1iRYWmugMQExPD9u3bSUhIOOdYu3btiIiIYO7cubzxxht4e3uzePFi0tPTSUtLq+aohRBC1BmtWsGgQfD994zY/yIHBj3L9z9oPPNJM14YejtNvv0AXntN9cL4+7s62mpVr3pW6oIjR44wY8YMli9fft56KB4eHqxcuZIDBw4QEBCAl5cXsbGxjBgxAqO7D9cWQghRs+64A6xWtAP7mdLpR1q3VgXfnvptDMVNW6rXQYsXu335/MqqsaJw1aGyReF0XfWuuILFUrHR1KtXr+b6668vl3jY7XY0TcNgMFBSUuI8lpOTQ2lpKYGBgfTs2ZPu3bvz6quvnvd7pSicEEJcJj77TK0N1LgxWU8sZeYcKzk50Kvdaeb+MQlDWQlMnAg33OCyEOtMUThX0DT1KsYVW0WnfQ0ePJhdu3aRlJTk3Lp37864ceNISkoql8T4+/sTGBhIcnIyiYmJjBo1qoZaTgghRJ0xerSq5JaVReONK5g3Ty2eHP9bQ14PfVx1qnzwAfz2m6sjrTb1KlmpC3x9fctV9o2KisLb25tGjRoRFRUFwIoVK4iNjXVOXx46dCijR48mOjraxdELIYRwObMZ7r5b/b5yJe09D/LAA+p/mr851J7P/CeBw6FWMMzLc22s1USSFTeUlpbG+PHjadeuHffeey/jx4+XactCCCHO6t0b+vRRqyW//DJ9ejmYPBlAY/npkay3D4YTJ+DZZ1XiUsfVqzErlzNpDyGEuMycOgVTpkBBgVoraPRoPvxQDWnRigqYVbqIgf7bYcwYNe25FsmYFSGEEEJAQMDZJOTDDyE9ndtvh2uuAd3Tmxfs97LpZEe12OGmTa6N9RJJsiKEEELUVdHR0KkTlJbCSy+h6ep10LBhoAc04vniKfx0qj289BKkpLg62iqTZEUIIYSoqzRNrURotcLu3fD552gaTJ0KgweDIzScZ0/eyc8ZzeHJJ6u0fpA7kGRFCCGEqMtCQvhzdC189BHs34+mwb33wsBBGvbIViw8ejs/H2gICxeCzebaeKtAkhUhhBCirhs0CPr1UzN/nnsOCgsxGGDGDOg3yIStVTueThnLpjhdLXjovnNrzkuSFSGEEKKu0zQ1MygoCNLT4dVXQdcxGuG++2DQSE8cLVvzXMr1rP8wA/7zH1dHXCmSrAghhBD1gbc3PPCAWoF50yZYvRoAoxFmzoRrbmuAHt6MV1Kv5csndsK2bS4NtzIkWRFCCCHqi/btYdIk9ft778H27YDqeJk8GcbcEwyBjXn70FA+m74J/fARFwZbcZKsCCGEEPXJyJEwdKgal7JoEaSlASphmfhPjXFzmoGvDx/+8T98MH4Deq77l+SXZEUIIYSoTzQN7rkH2rZV1W0ff9y5RpCmwdjbTdz1WARYzHz+WxRv3Pwdepl7zxCSZMUF5s+fj6Zp5bbg4GDncV3XmT9/PqGhoXh6ejJgwAD27NnjwoiFEELUKR4e8PDD0KgRHD0KTzyhCsf9afQ4b6Y+EYJmMpDl3wo7RhcG+/ckWXGRjh07kpaW5tx27drlPLZo0SIWL17MkiVLSEhIIDg4mKFDh5JXT1bPFEIIUQsCAlSvirc37NunXgnZ7c7Dwyc04bFP2jL7w06YPDQXBvr3JFlxEZPJRHBwsHMLDAwEVK/Kiy++yLx58xgzZgxRUVEsW7aMwsJCPv74YxdHLYQQok5p1gweeUT1tPz8MyxdWq7GyhX9fDGbXRhfBdWrZEXXobjYNVtl6+skJycTGhpKZGQkY8eOJeXPNRtSU1NJT08nOjraea7FYqF///5s2bKlOptLCCHE5aBjR5g9Ww1Y+fZb+OQTV0dUaSZXB1CdSkrgpptcc+0VK9TSDBXRs2dPPvjgA9q0aUNGRgZPPvkkffr0Yc+ePaSnpwPQpEmTcp9p0qQJhw4dqu6whRBCXA569VKDbl97TSUrDRqo5ZnriHqVrNQVI0aMcP7eqVMnevfuTcuWLVm2bBm9evUCQNPKvz/Udf2cfUIIIUSFjRgBp05BTAy8/jr4+KgS/XVAvUpWLBbVw+Gqa1eVt7c3nTp1Ijk5mdGjRwOQnp5OSEiI85zMzMxzeluEEEKISrntNsjNha+/hsWL1eDbbt1cHdXfqldjVjRNvYpxxXYpnR4lJSXs27ePkJAQIiMjCQ4OZsOGDc7jpaWlxMXF0adPn2poJSGEEJetM6Vs+/VTM4OeflrNFHJz9SpZqSseeOAB4uLiSE1N5eeff+bGG28kNzeXCRMmoGkaM2fO5Omnn2bVqlXs3r2biRMn4uXlxW233ebq0IUQQtR1mgazZkH37qr2yrPPgs29i8LVq9dAdcXRo0e59dZbycrKIjAwkF69ehEfH09ERAQAs2fPpqioiClTpnD69Gl69uzJ+vXr8fX1dXHkQggh6gWTCebMUa+CbrlF/duNabpe2Um3tSc3Nxd/f39ycnLw8/Mrd6y4uJjU1FQiIyOxVnQaTj0m7SGEEMJdXOzvd1XIayAhhBBCuDVJVoQQQgjh1iRZEUIIIYRbk2RFCCGEEG5NkhUhhBBCuLU6n6w4HA5Xh+AWpB2EEELUV+49sfoizGYzBoOB48ePExgYiNlsvizXztF1ndLSUk6cOIHBYMBcF9b6FkIIISqhziYrBoOByMhI0tLSOH78uKvDcTkvLy+aNWuGwVDnO8uEEEKIcupssgKqd6VZs2bYbDbsdrurw3EZo9GIyWS6LHuWhBBC1H91OlkB0DQNDw8PPDw8XB2KEEIIIWqAvDMQQgghhFuTZEUIIYQQbk2SFSGEEEK4Nbces3JmQejc3FwXRyKEEEKIijrzd/vM3/FL5dbJSl5eHgDh4eEujkQIIYQQlZWXl4e/v/8lf4+mV1faUwMcDgfHjx/H19e32qfl5ubmEh4ezpEjR/Dz86vW767PpN2qRtqt6qTtqkbarWqk3armr+2m6zp5eXmEhoZWS/0vt+5ZMRgMhIWF1eg1/Pz85IGsAmm3qpF2qzppu6qRdqsaabeq+e92q44elTNkgK0QQggh3JokK0IIIYRwa5dtsmKxWHj00UexWCyuDqVOkXarGmm3qpO2qxppt6qRdquamm43tx5gK4QQQghx2fasCCGEEKJukGRFCCGEEG5NkhUhhBBCuDVJVoQQQgjh1i7LZOW1114jMjISq9VKt27d+PHHH10dkluZP38+mqaV24KDg53HdV1n/vz5hIaG4unpyYABA9izZ48LI3adTZs28Y9//IPQ0FA0TWP16tXljlekrUpKSpg+fTqNGzfG29ub6667jqNHj9biXdS+v2u3iRMnnvMM9urVq9w5l2O7LViwgB49euDr60tQUBCjR49m//795c6RZ+5cFWk3eebOtXTpUjp37uws9Na7d2+++eYb5/HafNYuu2Tl008/ZebMmcybN48dO3Zw9dVXM2LECA4fPuzq0NxKx44dSUtLc267du1yHlu0aBGLFy9myZIlJCQkEBwczNChQ51rOV1OCgoK6NKlC0uWLDnv8Yq01cyZM1m1ahUxMTFs3ryZ/Px8rr32Wux2e23dRq37u3YDGD58eLln8Ouvvy53/HJst7i4OKZOnUp8fDwbNmzAZrMRHR1NQUGB8xx55s5VkXYDeeb+KiwsjIULF5KYmEhiYiKDBg1i1KhRzoSkVp81/TJz1VVX6ZMnTy63r127dvqcOXNcFJH7efTRR/UuXbqc95jD4dCDg4P1hQsXOvcVFxfr/v7++uuvv15LEbonQF+1apXz3xVpq+zsbN3Dw0OPiYlxnnPs2DHdYDDo69atq7XYXemv7abruj5hwgR91KhRF/yMtJuSmZmpA3pcXJyu6/LMVdRf203X5ZmrqIYNG+pvv/12rT9rl1XPSmlpKdu2bSM6Orrc/ujoaLZs2eKiqNxTcnIyoaGhREZGMnbsWFJSUgBITU0lPT29XBtaLBb69+8vbfgXFWmrbdu2UVZWVu6c0NBQoqKiLvv2jI2NJSgoiDZt2jBp0iQyMzOdx6TdlJycHAACAgIAeeYq6q/tdoY8cxdmt9uJiYmhoKCA3r171/qzdlklK1lZWdjtdpo0aVJuf5MmTUhPT3dRVO6nZ8+efPDBB3z77be89dZbpKen06dPH06ePOlsJ2nDv1eRtkpPT8dsNtOwYcMLnnM5GjFiBB999BE//PADzz//PAkJCQwaNIiSkhJA2g3UeIH77ruPvn37EhUVBcgzVxHnazeQZ+5Cdu3ahY+PDxaLhcmTJ7Nq1So6dOhQ68+aW6+6XFM0TSv3b13Xz9l3ORsxYoTz906dOtG7d29atmzJsmXLnAPOpA0rriptdbm35y233OL8PSoqiu7duxMREcFXX33FmDFjLvi5y6ndpk2bxs6dO9m8efM5x+SZu7ALtZs8c+fXtm1bkpKSyM7OZuXKlUyYMIG4uDjn8dp61i6rnpXGjRtjNBrPyegyMzPPyQ7FWd7e3nTq1Ink5GTnrCBpw79XkbYKDg6mtLSU06dPX/AcASEhIURERJCcnAxIu02fPp01a9awceNGwsLCnPvlmbu4C7Xb+cgzp5jNZlq1akX37t1ZsGABXbp04aWXXqr1Z+2ySlbMZjPdunVjw4YN5fZv2LCBPn36uCgq91dSUsK+ffsICQkhMjKS4ODgcm1YWlpKXFyctOFfVKStunXrhoeHR7lz0tLS2L17t7Tnfzl58iRHjhwhJCQEuHzbTdd1pk2bxhdffMEPP/xAZGRkuePyzJ3f37Xb+cgzd366rlNSUlL7z1oVBwTXWTExMbqHh4f+zjvv6Hv37tVnzpype3t76wcPHnR1aG7j/vvv12NjY/WUlBQ9Pj5ev/baa3VfX19nGy1cuFD39/fXv/jiC33Xrl36rbfeqoeEhOi5ubkujrz25eXl6Tt27NB37NihA/rixYv1HTt26IcOHdJ1vWJtNXnyZD0sLEz/7rvv9O3bt+uDBg3Su3TpottsNlfdVo27WLvl5eXp999/v75lyxY9NTVV37hxo967d2+9adOml3273XPPPbq/v78eGxurp6WlObfCwkLnOfLMnevv2k2eufObO3euvmnTJj01NVXfuXOn/vDDD+sGg0Ffv369ruu1+6xddsmKruv6q6++qkdEROhms1m/8sory01fE7p+yy236CEhIbqHh4ceGhqqjxkzRt+zZ4/zuMPh0B999FE9ODhYt1gser9+/fRdu3a5MGLX2bhxow6cs02YMEHX9Yq1VVFRkT5t2jQ9ICBA9/T01K+99lr98OHDLrib2nOxdissLNSjo6P1wMBA3cPDQ2/WrJk+YcKEc9rkcmy387UZoL/33nvOc+SZO9fftZs8c+d35513Ov9WBgYG6oMHD3YmKrpeu8+apuu6Xrm+GCGEEEKI2nNZjVkRQgghRN0jyYoQQggh3JokK0IIIYRwa5KsCCGEEMKtSbIihBBCCLcmyYoQQggh3JokK0IIIYRwa5KsCCGEEMKtSbIihBBCCLcmyYoQQggh3JokK0IIIYRwa5KsCCGEEMKt/T+Bhn8g4Rm/oAAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"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": 103,
"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 0.980253\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.0012 min: 0.982 max: 0.987\n",
"Cross class: 0.636±0.0639 min: 0.517 max: 0.706\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000037002\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 103,
"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": 104,
"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 0.980253\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.0012 min: 0.982 max: 0.987\n",
"Cross class: 0.345±0.00723 min: 0.326 max: 0.352\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": 104,
"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": 105,
"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 0.980253\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.0012 min: 0.982 max: 0.987\n",
"Cross class: 0.275±0.02 min: 0.235 max: 0.314\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": 105,
"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": {},
"source": [
"## Can we detect a short within the same trace?"
]
},
{
"cell_type": "code",
"execution_count": 140,
"id": "a9fce3aa-2108-48e5-afae-c3f1e75c7db3",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}\n",
"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"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 140,
"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": [
"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",
"print(set(value['info']['serial'] for value in group_baseline))\n",
"\n",
"smooth = None\n",
"batchlabels=([5, 15], ['Baseline', 'Attack'])\n",
"plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='corr', smooth=smooth, do_lines=True, batchlabels=batchlabels, label_placement='y')\n",
"#plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='corr', smooth=smooth, do_lines=True)\n",
"#plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='max', smooth=smooth, do_lines=True)\n",
"#plot_vector_covar(group_baseline, group_modified, vector_method='min', distance_method='max', smooth=None, plot_cdf=True, do_lines=True)"
]
},
{
"cell_type": "code",
"execution_count": 141,
"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",
"{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.991740\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.995±0.00115 min: 0.991 max: 0.997\n",
"Cross class: 0.926±0.0893 min: 0.783 max: 0.996\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.231220998491\n",
"EER: 0.16842105263157894 th: 0.9943917901819603\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.447921\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.734±0.0925 min: 0.486 max: 0.847\n",
"Cross class: -0.0231±0.645 min: -1.28 max: 0.785\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.232487050396\n",
"EER: 0.23157894736842105 th: 0.6595285800360724\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 141,
"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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ji4qKcOuttyp2YPJ4akbkEJmMEUl4PB4sXboUra2taa+3trZixYoV4/5MXV3dmPjDhw9j2bJlcLuFD8GYBCYiIqdItopVTRloaGjAL37xC+zfvx9nzpzB1q1b0dHRgU2bNgEAGhsb8eSTT6biN23ahPPnz6OhoQFnzpzB/v37sW/fPmzbti2nu3ojjhEROYRmxqGZ1qf+WoZ1ROvWrcPly5fx8ssvo7OzE4sXL8ahQ4dQU1MDAOjs7EyrKaqtrcWhQ4ewdetW/OxnP8OcOXPw6quv4tFHH818hzLARETkEJppQlMc8ajmj2fz5s3YvHnzuPMOHDgw5rVVq1bh008/zXg92WAiInKKaXyvGRMRkUPoZgK6aT1sqysu709VTEREjmFem1QxhYeJiMghNJjQFIlGNX+q0kxzcp2WwuEw/H4//t7ZoyyskjLjssNOaetZTVh8mBfSKlTh26+71ftcpgO6psE0EkgMX7WMvTosrQkR7och++xcZcJCxQzaXZgDfaK4slLZvgwWyQpcZ7qsWxuHw2HMrKxFX1+f5e9I8nfp4fn3wu2y/lxGEiN496+tymVONVkfEd1S6oavNFeFTvkrmJpONN2FohnWVbAV8sJl5yuT9cuWktVVA8Asy7ma8I6CJB0mdFgPRusFekSUdSKKXO2Bxxh75+9kxOOyN7nIJfvLpgvjMjpyEn8PZIG5PGpzlcyEprtgmCYGFBdXPOHc3sAoPa7WhCW0mVwcyvUypQezccUtIwP9sodBpNY7jU/Nsk5Ex3ZsxAyP9WKkH+zf/ia7r2leTYkobvYcWVxxmfxtUN7DdY0hvK9J+bSNDNY753//DEUzbsWAAfznJevY5a/8q2i90odGRCOyU7Myn+y9HhqUXx0qE35+/WFZGwuPV3bq39ExbDl/WPjEkqR81RFNBRysJnIIDQY0xamZav5UJU5E0Wg0rflSOBzOywYRTVcaTOUYUKGemolvem1ubk5rxBQMBvO5XUTTjqaZoqkQiRNRY2Mj+vr6UlMoFMrndhFNO8nBatVUiMSnZl6v17ILHBFlR4chuHw/zceIiCi/NKjLR20s0c0rJiIih5CMARXqGFHWiej1i/fC7VbUwgiLUcyEdV1GynnhZp+XhYmLZQDAJVy3Lhx+i0VkcYJqvF/+LzcqZowWK6rqhI7/6APRaj/57suiOK2kTBSH7phsecWyGjAACLS9I4q7+6uy44n/vlSvDgLwyso2y/kDkRGg1TIkjS64asbKaiLKK10zoSuOeFTzpyomIiKH0KG+jF2oTeaZiIgcgmNERGQ7TVPfl5nHZxzaiomIyCF0zYSLY0REZCddUz9I2M5ef/nERETkECxoJCLbuXQTLt361MvFfkRElE88NcuCXlIK3W1dBWsMylpmumZWiOKMqKwC2xyRdeRzzbLu73w9zSXr3ietrDYGB2Rxw5LulV98S1XF4tKK6X968wVR3ImndojiiirniOLMuLy7oVeXdXNMJGSfnV4ma0pf5LbOCkWJzLIGr5oRke14REREtnPpo5NlTGEOETERETmFDsER0U3ZkpuPiYjIIThGRES20wRjRExERJRXojGiAj03YyIicgheNSMi203nMaICPdAjmnp0TRNN+dLb24v169ennl24fv16XL161fJnvve970HTtLRp+fLlGa876yOiRO9l6Iqe1WZEWD3c3ytbqaB/MwAgLqusTvTIn9FmlpSL4rTIoGyB/tmy9Q4I3htjtMLYNNXPopf2mJZWTC/b/5xseU//hyhOWt0MAFFDVjEdjcqKcBKXzoniYout3+OY4jO4kcs1OlnG5LGO6IknnsDnn3+O999/HwDw/e9/H+vXr8fvfvc7y5+7//778ctf/jL1b4/Hk/G6eWpG5BCZjBHd+Mj3bJ87eObMGbz//vs4fvw47rrrLgDAz3/+c9TV1eHs2bNYsGDBhD/r9XpRVVU16XUDPDUjcowbT3EmmgAgGAymPQK+ubk5q3W3tbXB7/enkhAALF++HH6/H8eOHbP82SNHjqCyshLz58/Hxo0b0d3dnfH6eURE5BC64NQs2SUkFArB5/vi9DXbpzB3dXWhsrJyzOuVlZXo6uqa8OfWrFmDxx57DDU1NWhvb8ePfvQjfOc738HJkycz2iYmIiKHyOTUzOfzpSWiiTQ1NeGll16yjPnkk08AIHW0dT3TNMd9PWndunWp/1+8eDGWLVuGmpoavPfee3jkkUeU25fERETkENefelnFZOKZZ57B448/bhkzb948/PGPf8Q//vGPMfMuXbqEQCAgXl91dTVqampw7pxswD+JiYjIIfJx02tFRQUqKtR9vurq6tDX14ePP/4Y3/rWtwAAf/jDH9DX14cVK1aI13f58mWEQiFUV1dntJ0crCZyCJdLE035sHDhQtx///3YuHEjjh8/juPHj2Pjxo144IEH0q6Y3XHHHXj33XcBAAMDA9i2bRva2trw97//HUeOHMGDDz6IiooKPPzwwxmtn4mIyCGSY0SqKV9+85vf4M4770R9fT3q6+vxta99Db/+9a/TYs6ePYu+vj4AgMvlwp/+9Cc89NBDmD9/Pr773e9i/vz5aGtrQ3m5rN4uiadmRA6h6aOTKiZfZs2ahbfeessyxryueX9JSQk++OCDnKw760Q0798ehafUOvuZwicPSAfiXMWyzTZisspWIyGs1AbUzaCvkfa2NkbkvZlVXGUzRtetA2U+xXvUHRMtU9pjWloxvWzfD0VxnR/8WRQHAIN/fEcU5/fJvg+3/ctToriygSbrgOFMe1bnfrB6quAREZFDiG7xyOBv5lTCRETkEJKbWvN506udmIiInELQBqRQH/XKRETkEJLL8y6jMDMRExGRQ0znxmhMREQOoesadEWhkGr+VMVEROQQGgRHRDdlS24+JiIihxCNEeXpFg+7MREROQTHiLKge4vElc4qQ51XRXHuMuse2Um6W7ZdiWFZlTEAmHFhZXWRrBZ/MNQjivP4Z6iDjNEKdtMAhgYVPauLS0TrNeOyym9pj2lpxXT1fYtEcQDw1/+Qvdd9YdnnHOuV9Ru/ejVqOX8gKuuZnsQxIiKyHY+IiMh2ukuDrhgDUs2fqpiIiByCt3gQkf0EbUAKtYOYOBFFo1FEo18Mzt34XCUiys50PjUT59fm5ua05ygFg8F8bhfRtGN3h0Y7iRNRY2Mj+vr6UlMoJH9MMxGpaRA8YLFAa6vFp2bZPtKWiKzZ3SrWThysJnII3uJBRLYbLWhU9ay+SRtzk2WdiHp/+O/wuKwXU6LLbhMYNGSnfl4ts9J5lZiZ+3ysQfbAAI8me28SguE886H/C5TNHm2eX2a9T4E2WcN5ry5rOB81ZA8LkDa6l962AQDzPzwsipvZ8B1RnOvn/0cUd8sz1k9AdQ/L3pMknpoRke34FA8isp2rSIOrSDFGlGAiIqI84k2vRGQ7TdegKSoWVfOnKiYiIqfg44SIyG4uXVBHxCMiIsonnpoRke2YiIjIdrzFIwv//FUDJW7rhvIuXVZh2tE5JIr7UsAtigsEZJXaJaXytyGRkFVMG8K4WyrLc7bestLRL6lpAP1h6+rzu78q+0InErLPLhqV7a/fJ6vUlja6B+QV05/t+h9R3IofrBLFfXioy3L+8Iisaj6JldVEZLvpXFldoPmVaOpJHhGppnz58Y9/jBUrVqC0tBQzZ84U/YxpmmhqasKcOXNQUlKC1atX489/lj0y6npMREQOkRwjUk35EovF8Nhjj+EHP/iB+Gd++tOfYteuXXjttdfwySefoKqqCvfeey/6+/szWjcTEZFDaJqWunI24ZTHU7OXXnoJW7duxZ133imKN00TLS0teP755/HII49g8eLFePPNNzE0NITf/va3Ga2biYjIIZRJ6LrL++FwOG26/sEWN0t7ezu6urpQX1+fes3r9WLVqlU4duxYRstiIiJyiORNr6oJAILBYNrDLJqbm2/69nZ1jV41DATS+zIFAoHUPCkmIiKH0K+1AbGa9GttQkKhUNrDLBobG8ddZlNTk7Ih/4kTJ7La7htPF03TzPgUkpfviRwik8pqn88Hn8+nXOYzzzyDxx9/3DJm3rx54m28XlVVFYDRI6Pq6urU693d3WOOklSYiIgcIh/9iCoqKlBRUTH5jbJQW1uLqqoqtLa2YsmSJQBGr7wdPXoUP/nJTzJaVtaJ6OMH/wue0jLLmPigbCBNd8uqeC+UF4viTENW7Ru5JH9qre6WvWWuEo8ozojK+m9LlvfjIj88GP2yerzW7+V/X6q3nJ+kl6n/6gJA4tI5Udxt//KUKC7WOyiKA+Q9pqUV0x17joriHjrwsOX8gcgI8IFoUQAAvUiHXmQ9WqKan42Ojg5cuXIFHR0dSCQSOH36NADgK1/5CsrKRn/H77jjDjQ3N+Phhx+GpmnYsmULduzYgdtvvx233347duzYgdLSUjzxxBMZrZtHREQOoeujkyomX1544QW8+eabqX8nj3I+/PBDrF69GgBw9uxZ9PX1pWK2b9+O4eFhbN68Gb29vbjrrrtw+PBhlJfLbl1KYiIicojkk15VMfly4MABHDhwwDLGNNPPMjRNQ1NTE5qamrJaNxMRkUPwplcisp2rSIdLMQakmj9VMREROQSPiIjIdqOJSFVHdJM25iZjIiJyCLaKJSLb6YI2HzpbxRJRPnGMKAtPXWxCWbF1D2lpEdbFdlk1bSBYKoqbPVcWVxyUvw2mdXvulERcFli5yLoqPSk6pO5/7HH9FMAsxBMmOjqGLWNfWdkmWm+RW/YXOLZY1ou6bKBJFHf1qrytxS3PyO5rUvWYTlJVTCf9v++9azk/0h8GXpopWhbwRT8iVUwh4hERkUMk77BXxRQiJiIih+BgNRHZjomIiGzHwWoish1v8SAi2/GIiIhsx8v3RGQ7XdegKxKRav5UNelElGyQNBhRtzqVFjQOxtRFe8C1FpwCxUOyuJhLWKUIAOKCRlmb2uKBmCguOiwoaAyHoXmLMNDfj+ER63jpe1iUEBY0RmQFjRiWLW9A2EIXANzDshbDqvcktW7hexPpt24xHB0YnX9jM7EJ1xsdST2lwyqmEGmm9F26weeff45gMJjr7SEqOKFQCLfddtuE8yORCGpra8XPAquqqkJ7ezuKi2W926eCSSciwzBw8eJFlJeXp85bw+EwgsEgQqGQ6FEnTlUo+wEUzr5Mxf0wTRP9/f2YM2cOdMVpQSQSQSwmOzr2eDwFlYSALE7NdF2fMMtLn7nkdIWyH0Dh7MtU2w+/3y+KKy4uLrjkkokCvRhIRFMJExER2S6nicjr9eLFF1+E1+vN5WJvukLZD6Bw9qVQ9oPGN+nBaiKiXOGpGRHZjomIiGzHREREtmMiIiLbMRERke2YiIjIdkxERGQ7JiIist3/B1k7IFEmXwesAAAAAElFTkSuQmCC",
"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",
"print(set(value['info']['serial'] for value in group_baseline))\n",
"\n",
"smooth = None\n",
"batchlabels=([5, 15], ['Baseline', 'Attack'])\n",
"plot_vector_covar(group_baseline, group_modified, vector_method='norm', distance_method='corr', fig_out='short_within_0.3', plot_cdf=True, smooth=smooth, do_lines=True, batchlabels=batchlabels, label_placement='y')\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": 108,
"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",
"{10}\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 0.723555\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": 108,
"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": "iVBORw0KGgoAAAANSUhEUgAAASIAAADqCAYAAAAGckjbAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjMsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvZiW1igAAAAlwSFlzAAAPYQAAD2EBqD+naQAAHC9JREFUeJzt3X9wVOW5B/DvObvZ3fzajRCySUoI6XSECP6ISSuhQ6F1GoXq2OplcJzBOooVU8cLGUobaU2wY5l2GJo6FtAKxVbtOPdG2mlhKPmjoc4FFJDc+gPRO0USIGv4ZTYbkt3s7rl/xASWJOc8m93lnF2/n5kzmj3PvueczfLkPe95znsUTdM0EBGZSDV7B4iImIiIyHRMRERkOiYiIjIdExERmY6JiIhMx0RERKZjIiIi0zEREZHpkpqIgsEgmpubEQwGk9nsNZcpxwFkzrFkynHQBLQk6u3t1QBovb29yWz2msuU49C0zDmWTDmOa23fvn3aXXfdpZWUlGgAtJ07dxq+p729Xbv11ls1p9OpVVRUaFu2bEn5fvLUjCiD9ff34+abb8bzzz8vij9x4gSWLFmCBQsW4OjRo3jqqafw5JNPorW1NaX7aU9p60RkqsWLF2Px4sXi+K1bt2LGjBloaWkBAFRWVuLw4cPYuHEj7rvvvhTtZQKJKBqN4syZM8jPz4eiKAAAv98f8990lSnHAWTOsaTjcWiahr6+PpSWlkJV9U8+BgcHEQqFxO2O/Jsb4XQ64XQ6J72vIw4cOIC6urqY1+644w5s27YNQ0NDyMrKSngb45l0Ijpz5gzKysrGXTfR6+kmU44DyJxjScfj6OrqwvTp0ydcPzg4iGnlFQj0+ETt5eXlIRAIxLzW1NSE5ubmRHYTAODz+eD1emNe83q9CIfDOHfuHEpKShLexngmnYjy8/MBAKvf6YQzz60b2/dRj6hN1S4bsuo/eV4Ul11SIIpThNuNx1BgUBTnnJInitPCEVHc3W2Pi+I2HpwjioPTJYuLyPavdOl3RXH2XOF2AeT/5jFR3K2zs0VxuyrXieLWl23TXR8YGEL1D/88+m9lIqFQCIEeH1a/fdLw31Iw4Mevv1aOrq4uuN2XY5PRGxpxdW9L+3zKsqtfT6ZJJ6KRnXLmueHK1//wQrkDojaliWgoW3YJ15mr/wUYkYpEpEZlXVhnbnITUa5Ttt0su/CLaxcmBCUsCnNky47XniNPRE6b7Guc45DFOVy5orj8HNlnLf0H7MjJg8Pg+6BFowAAt9sdk4iSpbi4GD5fbM+sp6cHdrsdU6dOTfr2RvCqGZFVRDXZkkK1tbVoa2uLeW3v3r2oqalJ2fgQEEciCgaD8Pv9MQsRJU80HBUt8QgEAujo6EBHRweA4cvzHR0d6OzsBAA0NjbiwQcfHI1fuXIlTp48iYaGBhw7dgzbt2/Htm3bsGbNmqQd53jEiWjDhg3weDyjSzoOGhJZmiboDcU5xfzhw4dRVVWFqqoqAEBDQwOqqqrw9NNPAwC6u7tHkxIAVFRUYPfu3Whvb8ctt9yCn//853juuedSeukeiGOMqLGxEQ0NDaM/+/1+JiOiJNKi0dExIL2YeCxatGh0sHk8O3bsGPPawoUL8c4778S1nUSJE1Gy6hSIaHxaOArN4NTLaH26YmU1kUVoUQ2awWC00fp0lXAi6vuox/DyvHu2V3f9iMD/nRXFuYplly31uqRXUlV5fUQ0JLuM7pomKx0Ing8YBwFQhPt48aysOhdR2eV2BIWlF1OLRXFDfll7ii35F3TPXRgSxWkRWa/jwmn9YwkMyrY3ul0mIiIyneTyPBMREaVSNBxB1KBw1Wh9umIiIrIKDcY9nszsEDEREVkFx4iIyHSaphleYJFegEk3TEREFqGFI4Y3N0tvfk43TEREFsFTMyIyHy/fE5HZJHfXx3v3fbpIOBGpdtVwQjNpxXTeV6aJ4i4e7RLF2T3JvzdOddhEcdIutD1Xto/SymqHS1iRrCX3C60N9Ivi1CzZ55eVL58YLRKVfTYuh+yzke6jI1s/zoH4PmNNE5yacbCaiFJKE0zzwURERKmUimlA0gUTEZFVCKYBAceIiCiVePmeiEzHymoiMl8Ugjqia7In1xwTEZFFcBoQIjIfL98TkdlY0JiA/pPnDR8BLZ1jWloxfV2V7DFGn/3vKVFceEA+t7A91yGKc3hyRHHBC7KKZGmlsa97UBSnRGRzVmvZsrm3bQWForhLvguiuCy37POLx6lPZb/n0GeyecT7w/rt9cc5ZzXvNSMi00UjUUQNJu43Wp+umIiIrCIaHV6MYjIQExGRRbCgkYhMp0Wihs9Ukz5zLd0wERFZBHtERGQ6JiIiMp8WNZ6wLskT2lkFExGRRUQjmvFUsRH2iIgolXiLx+RllxTAmatffSstS5fOMS2tmC64ebqsvXdPi+IAecV0qPeSKC672CPetoTHkyWK03pkldqKXVZJHg0OiOJySqeK4iCcozse17llc1Y7CvJEcXZFfx/tkfiOgWNERGQ+FjQSkdl4iwcRmY9jRERkNo4REZH5IhFoEYMZGI3WpykmIiKr0ATzEWXoqZnw+cRElGojT/EwWuK1efNmVFRUwOVyobq6Gm+++eaEse3t7VAUZczy4YcfJnJohtgjIrKIVDzp9fXXX8eqVauwefNmfP3rX8cLL7yAxYsX44MPPsCMGTMmfN/x48fhdl+eWXXatGlxbTde7BERWYQW0UanApl4ia9HtGnTJjzyyCNYsWIFKisr0dLSgrKyMmzZskX3fUVFRSguLh5dbDZbIodmKOEekWJXodj185ma5CpZ6RzT0orpghu/JN62tM2hXlmlsSr8BasOWdzUIll1uvKBbG5rLSD8C6wI/6YJr/rYs2UV4gAQDMu+XyVe2WcjvTKVV6hfda4NxPm9j+Pyvd/vj3nZ6XTC6Yw9vlAohCNHjuAnP/lJzOt1dXXYv3+/7maqqqowODiIG264AT/96U/xzW9+U3gQk8MeEZFFjJyaGS0AUFZWBo/HM7ps2LBhTHvnzp1DJBKB1+uNed3r9cLn8427DyUlJXjxxRfR2tqKN954A7NmzcLtt9+Of/7zn8k/4CtwjIjIKuLoEXV1dcWM4VzdG7qSctU9cZqmjXltxKxZszBr1qzRn2tra9HV1YWNGzfiG9/4htERTBp7REQWoX1eR2S0AIDb7Y5ZxktEhYWFsNlsY3o/PT09Y3pJeubNm4ePP/44sYMzwEREZBEjldVGi5TD4UB1dTXa2tpiXm9ra8P8+fPF7Rw9ehQlJSXi+MkQn5oFg0EEg5cfpHj1YBkRJSgFMzQ2NDRg+fLlqKmpQW1tLV588UV0dnZi5cqVAIDGxkacPn0af/jDHwAALS0tmDlzJubMmYNQKIRXXnkFra2taG1tndQhSYkT0YYNG7B+/fpU7gvRF5oWiUIzmKEx3qd4LFu2DOfPn8czzzyD7u5uzJ07F7t370Z5eTkAoLu7G52dnaPxoVAIa9aswenTp5GdnY05c+Zg165dWLJkSfwHFAdxImpsbERDQ8Poz36/H2Vlskc/E5ExTYtCM+jxGK0fT319Perr68ddt2PHjpif165di7Vr18a9jUSJE9F4dQpElERRwb1mvPueiFIpVT2idMBERGQRw7dw6E/zwSe9JiAaks2hIr2NwZ4rm9BdOtF9PJPnS28H8X8wfuXq1exu2ST2RoOYI852C2/dsAl/9aosTnUXiOIUu+x3HPLLbpEBAI9ddrpyxhc0DgKAWbL2es/qtxcYlN2KNIqnZkRkOj5gkYjMloppQNIFExGRRWhR46litSiniiWiVOKpGRGZjoPVRGQ21hERkfkiEUANG8dkICYiIovgAxaJyHwcrJ68ocAg1Kj+ROeuafmitqTZXloxHeq9JIqTTnQPyCum3TcUy9r78FNRXDQoq9INh4V/MW2y6nQlO1fWnrC+ZahP9jvJzpsi224cQkOyzyYyGBLFaQZF8XE/giwSFpyaGaxPU+wREVlFNGqc0FnQSESpxKtmRGS+OJ7ikWmYiIisIho2HgOKcoyIiFIpqgnGiNgjIqJU4uV7IjIdExERmS4SBhSDGSxZR0REKcUe0eQ5p+TBmZunGxM8H5DtTK7scUXBC/2iuOxijyhOtcnmUQbkc0xLK6bds2XPIO//5IIobuo0WcU0Tif3aePRoGyubGehWxRnc8q/mlk22QBusfCzcRTof59HFLj1v6+2gTg/YxY0EpHpomEgavBHkZfviSilNE1wasbL90SUShwjIiKzKVENikHBotH6dMVERGQVWhiIGgxwaxwjIqJU4qkZEZlN0aJQDBKN0fp0xUREZBXsERGR2RQtAkXTf0qH0fp0lXAi0sIRaGGDD09VRG1J47LyZdXNUqpDXlmthWV/kaRzTEsrpnNnyuZwVhTZZyit0JU+a124VUSDssFW9Tr5V/PCgOz3Jy1KjoZl+zgU1G8wbLB+DNYREZHZOEZERKZTohEoiv7leyXKUzMiSqno54tRTOZhIiKyCEXToBiMARmtT1dMRERW8QW+fJ/cSWmIaNJULSJa4rV582ZUVFTA5XKhuroab775pm78vn37UF1dDZfLhS9/+cvYunXrZA9JjImIyDI04SL3+uuvY9WqVVi3bh2OHj2KBQsWYPHixejs7Bw3/sSJE1iyZAkWLFiAo0eP4qmnnsKTTz6J1tbWBI7LGBMRkUUo0ERLPDZt2oRHHnkEK1asQGVlJVpaWlBWVoYtW7aMG79161bMmDEDLS0tqKysxIoVK/Dwww9j48aNyTjECTEREVnESB2R0QIAfr8/ZgkGg2PaC4VCOHLkCOrq6mJer6urw/79+8fdhwMHDoyJv+OOO3D48GEMDcmKdCcj4cHqu9seR64zSzfm4tmQqC2HS5YXfd2y+ZE9Hv39GjG1SDZXNgCcFW47HJb95ZLOMS2tmN73o92iuI3/9R+iOKnBftnYRb7yliiu/yP5l97d8CVRXO/Zsf9Yx3Orc5Mo7t/v9emu7w/FN2WHCg2qweV59fMeUVlZWczrTU1NaG5ujnnt3LlziEQi8Hpj50X3er3w+Xzjtu/z+caND4fDOHfuHEpKSiSHEjdeNSOyCMmp18j6rq4uuN2XH0TgdE78x/TqP2Kapun+YRsvfrzXk4mJiMgi4qkjcrvdMYloPIWFhbDZbGN6Pz09PWN6PSOKi4vHjbfb7Zg6darRIUwax4iILEJBVLRIORwOVFdXo62tLeb1trY2zJ8/f9z31NbWjonfu3cvampqkJUlG+qYDHEiCgaDYwbIiCh5FGifjxNNvMR71ayhoQEvvfQStm/fjmPHjmH16tXo7OzEypUrAQCNjY148MEHR+NXrlyJkydPoqGhAceOHcP27duxbds2rFmzJqnHejXxqdmGDRuwfv36VO4L0ReaomhQFINTM4P1V1u2bBnOnz+PZ555Bt3d3Zg7dy52796N8vJyAEB3d3dMTVFFRQV2796N1atX47e//S1KS0vx3HPP4b777ov/gOIgTkSNjY1oaGgY/dnv948ZuSeiyYtnsDoe9fX1qK+vH3fdjh07xry2cOFCvPPOO3FvJxHiROR0OnVH5okoMSqigsv3mXmvGa+aEVmEAuOZLlN3Ad1cTEREFpGKMaJ0kXAi2nhwDrLsBqdsUWGFqXCKAyUia0/rkc1trXwgq5YGAM0m/MhssoppnBZeuBROuCytmH596X+L4g7f87goTnPmieLEvztnjigOAL460C6Ku31hgShu3d9mi+L+1HRRd72/PwS8JGoKAEavjBnFZCL2iIgsQlU0qAY9HqP16YqJiMgiVBgX9mVqBTITEZFFcIyIiEynKMOLUUwmYiIisghV0WDjGBERmUlVhhejmEzERERkESxoJCLT2VQNNlX/1MvG55oRUSrx1CwRThdgN6hgDg4kvJkradn5ojjFLqtu1gJx3Eioyj4yJTtX3qaAJqyslpJWTNf8ZfynPYxp797/lG24qFwUpgzJ5jkHAJfwUV+RiKw3oeRdJ4rLcurPyZUVtonaGd0ur5oRkdnYIyIi09nU4UU3JjOHiJiIiKxChaBHdE325NpjIiKyCI4REZHpFMEYERMREaWUaIwoQ8/NmIiILIJXzYjIdBwjIiLT2VQFNoMuj9H6dJV4IopEAEV/HmJ1arGoKW2gXxRnKygUxUWlFd2K/MRbdRfIAoWV0NGgbL5s6ddvsF9WZiydY1paMV3zxm9k7d23WhSn5XpEcQAwKCzCHrwk+2zsZ94XxQX79e8oCPYL52r/nKoOL0YxmYg9IiKL4BgREZlOURQoBoNARuvTFRMRkUWoNsBmcJ+swSwhaYuJiMgieGpGRKbjqRkRmY43vRKR6Ww2BTabQR1RlD0iIkohjhERkekU1bi2No7a27SScCIqXfpdOLL1q3SH/LIKZzVLNsfvJd8FUVxO6VRRHKLya6KKXbaPQ32XRHHOQrcoLhqUVenmK2+J4pSIsOpXOMe0tGK6pvXXorhTf+kQxQFAYGubKM4zRTaHeWH9j0Vx+UVbdddrgfi6LxysJiLT2QR1RLbkPkPBMpiIiCxCVRSoBj0eo/XpiomIyCoE04Bk6qNemYiILIKX74nIdJwYjYhMp6oKVINCIaP16SpDqxKI0o+Cy72iCZcUbv/ixYtYvnw5PB4PPB4Pli9fjs8++0z3PQ899NBo2cHIMm/evLi3zR4RkUWIxogM1ifigQcewKlTp7Bnzx4AwA9+8AMsX74cf/3rX3Xfd+edd+L3v//96M8Oh6xe60pMREQWEc8Ykd/vj3nd6XTC6XROetvHjh3Dnj17cPDgQdx2220AgN/97neora3F8ePHMWvWrAnf63Q6UVwsmw56IgknInuuC/Yc/bl7FeHDmLLy9dsZjXPniOKkN+bYs7Nk7QEICavEs/OmiOJsTtmvQL1OFtf/0ZAoTnPKPkNlSDYhtHSOaWnF9PR7bhHFAUDvFlmc/6LsWAZdvaK4i6f0vwt9l4STaX8unjGisrKymNebmprQ3Nwc1/audODAAXg8ntEkBADz5s2Dx+PB/v37dRNRe3s7ioqKUFBQgIULF+LZZ59FUVFRXNtnj4jIIuLpEXV1dcHtvnx7UCK9IQDw+XzjJo+ioiL4fL4J37d48WIsXboU5eXlOHHiBH72s5/hW9/6Fo4cORLXPjEREVmEalOgGowBjax3u90xiWgizc3NWL9+vW7MoUOHAIx/H5umabr3ty1btmz0/+fOnYuamhqUl5dj165duPfeew33bwQTEZFFpOIWjyeeeAL333+/bszMmTPxr3/9C59++umYdWfPnoXX6xVvr6SkBOXl5fj444/j2k8mIiKrEEwDEm/BTWFhIQoLjZ8DWFtbi97eXrz99tv42te+BgB466230Nvbi/nz54u3d/78eXR1daGkpCSu/RQfVjAYhN/vj1mIKHlGTs2MllSorKzEnXfeiUcffRQHDx7EwYMH8eijj+Kuu+6KGaiePXs2du7cCQAIBAJYs2YNDhw4gE8++QTt7e24++67UVhYiO9973txbV+ciDZs2DBa6OTxeMaM2hNRYkZmaDRaUuXVV1/FjTfeiLq6OtTV1eGmm27CH//4x5iY48ePo7d3+KqizWbDu+++i3vuuQfXX389vv/97+P666/HgQMHkJ+fH9e2xadmjY2NaGhoGP3Z7/czGRElkQLBxGgprK2eMmUKXnnlFd0YTbs8iWB2djb+/ve/J2Xb4kSUaMEUEenjVLFEZDqzb/EwExMRkUUMFzQazVl9jXbmGks4EeX/5jE4bcnJZxGTJn0KhuXb9diT+/DxLJusvQsDskn73Q1fEsV9daBdFOeKiMIwKLybQTrRvfS2DQDw7PkfWdzmu0VxX/nbU6K4qd+5SXd9ViC+fxc8NSMi0/EpHkRkOptdgc1uMEYUYSIiohTiVLFEZDpFVaAYVCwarU9XTEREFqGqxpfvM3XOaiYiIovgqRkRmY6nZkRkOiYiIjIdb/FIwK2zs5Hj0G/m3AXZhO4uh6xs9NSnsvauc8vaK/HKb+Y94wuK4kJDsorp4mmyR69Eo6Iw9J6V7d/tCwtEcZGI7DgGL8lKsD1TZMcrnegekFdM76nXfyzOiIX9S0RxbdtP6K7vD4VF7YxgZTURmY6V1URkOvaIiMh0HCMiItMpiuCqGU/NiCiVePmeiEzHymoiMp0qmAZENVifrpiIiCyCp2ZEZDqemiVgV+U6OFy5ujFaRFYWrGbJ5mUOfRYQxTkK8kRxWjSOeahnyWIjwkmcpfsYDcuqdG91bhLFrfvbbFGcknedKM5+5n1RXGH9j0Vxg65eURwgn2NaWjG970e7RXEN7z2su97fHwJeEDUFAFDtKlS7fqGQ0fp0xR4RkUWo6vBiFJOJmIiILMLsJ72aiYmIyCJ4iwcRmc5mV2EzGAMyWp+umIiILII9IiIy3XAiMqojukY7c40xERFZBAsaich0qmAaEJXTgBBRKnGMKAHry7YhPydLN+bC6QFRW45sWWV1f1g2Z7VdWA+fVyibRxmQzwmtuWTtFbhl82UPBWXV6f9+r08U96emi6K4LKdfFBfslx1wftFWUdzFU7LvDABM/c5NojijOaZHGFVMj9g0d7vu+sE+P4DXRG0BnI+IiCzAJrj73mh9umIiIrIIDlYTkemYiIjIdBysJiLTfZFv8cjMoyJKQyM9IqMlVZ599lnMnz8fOTk5KCgoEL1H0zQ0NzejtLQU2dnZWLRoEd5/XzY31ZWYiIgsYuTyve6Swsv3oVAIS5cuxeOPPy5+z69+9Sts2rQJzz//PA4dOoTi4mJ8+9vfRl+frIxkBE/NiCxCVRWoBoPRRusTsX79egDAjh07RPGapqGlpQXr1q3DvffeCwB4+eWX4fV68dprr+Gxxx4Tb3vSiUjThqdMDQwYFxcGBmUFiA7Iivb6he3ZI7JfmjYg/+VKj0UTzj5rG5B1SsPCgsb+kGxKWX+/bCrbrLCsyDTYL9uuFpB91n2XZPsHAFkB2dc42Z/NcMHixIKB4fWa8MsQCA4ZPqUjEBz+/vn9sdt2Op1wOmXFscly4sQJ+Hw+1NXVxezHwoULsX///muTiEa6XtU//PNkmyAzvWT2DliYeJ5pWdV0X18fPB7PhOsdDgeKi4tRduerovby8vJQVlYW81pTUxOam5tF708Wn88HAPB6vTGve71enDx5Mq62Jp2ISktL0dXVhfz8/NHzVr/fj7KyMnR1dcHtdk+2adNlynEAmXMs6Xgcmqahr68PpaWlunEulwsnTpxAKCTriWmaNmasaKLeUHNz8+gp10QOHTqEmpoa0bbHc/W+jLd/RiadiFRVxfTp08dd53a70+bLoidTjgPInGNJt+PQ6wldyeVyweUS3qAYhyeeeAL333+/bszMmTMn1XZxcTGA4Z5RSUnJ6Os9PT1jeklGOFhNlMEKCwtRWFiYkrYrKipQXFyMtrY2VFVVARi+8rZv3z788pe/jKstXr4nIgBAZ2cnOjo60NnZiUgkgo6ODnR0dCAQuPwcwdmzZ2Pnzp0Ahk/JVq1ahV/84hfYuXMn3nvvPTz00EPIycnBAw88ENe2k9ojcjqdaGpquuaj98mWKccBZM6xZMpxWNnTTz+Nl19+efTnkV7OP/7xDyxatAgAcPz4cfT2Xn745dq1azEwMID6+npcvHgRt912G/bu3Yv8/Py4tq1o0muLREQpwlMzIjIdExERmY6JiIhMx0RERKZjIiIi0zEREZHpmIiIyHRMRERkOiYiIjIdExERmY6JiIhM9//6FOWxALvswgAAAABJRU5ErkJggg==",
"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",
"print(set(value['info']['serial'] for value in group_baseline))\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": 109,
"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": 109,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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zITs7G01NTWHbm5qakJeXp/raxMRETJs2DVarFfv27cOiRYtgufQ4qNzc3FFtvvvuu5ptXo4LGonMSAiNe830n15WVlaipKQEc+fORW5uLnbs2IH29nasWrUKwNBj5c+ePRtaK/TZZ5/h+PHjWLBgAc6fP4+amhp8/PHHeO2110JtPvHEE7jrrruwceNGLF68GAcPHsThw4dx9OhRXX1jICIyISUQgKJEXiukjGMdUXFxMTo7O7FhwwZ4vV7MmjULjY2NyMjIAAB4vd6wNUWBQAAvvfQSPv30UyQmJuLuu+9Gc3Mzpk+fHqqTl5eHffv24ZlnnsG6detwyy23oKGhAQsWLNDVNwYiIlPSOv0a34WL8vJylJeXj7mvvr4+7P+zsrLQ1tam2eaSJUuwZMmScfVnGAMRkRkxDQgRGY6BiIiMpgQHoSiRL2orfK4ZEcUcR0TxRXZVt5GiugJ7xILWeMmdJbuaXbaebM5qI787CgQURH5/tX0TUdwHIqIJKQbriMyMgYjIhJRgQGOOSP86IjNjICIyIUUEoaiMiNT2TUQMRESmFIT6okUGIiKKMUUIKCrzQGr7JiIGIiITUkQAilCZIxKcIyKiGOMcERGZgLhU1PbHDwYiIhO61hY0KkJ3Mt0hfr8fKSkp+ParL+F0Jmu8i2SjenoS/fTWccHuvAGKxYqgEOiRGL1f1/udVLvRzvMc1LFqWW/+Yy32JJVc0CP0fi9/P1eCXX3Vu9/fjRvTM9HV1RWWY3p0vaHf1f/4b79CojUxYr2BwAD++tlhzfYmiiseETmuT4UjDj6IeGNRFDhlfm+Tbox5XyYqhy16bSUMRg4qY1GgPuqJt3+HrzgQ9Z7vgC0w9rOUQjgiumo4ItJmxIho8GK3dFvAtXdqdsWB6L/+vQyTbOrNyN5kqOfLLn3jomSTUf6ux4TMsRRs+N9wTPkJeoLApn9p1y/5P/9T6r07z/4gVS/RLvcj/87XK1UPAGwOuWc8yN70mr/ULVXvP1/5p1Q9APjZneojy+6LA9JtAVxHREQmoCAAi8qwX8E1uo6or68v7HG2fr8/Jh0iouE5IvX98UT6uWbV1dVhj7Z1u+WGt0Skn6IIzRJPpANRVVUVurq6QsXj8cSyX0TXtOHJarUST6RPzex2u+ZztYkoOiwIwqJyh73avomIk9VEJnStzRExEBGZkNY8ULzNEV1xIGq6fxvskzRu8ZBdvCa5DiRmbUbzfWPx3hLmOa6HA0MLFWXWCL2+qEGqXf//+1aq3uD3GotbL0mYL79sWfYuJM/BFql6s3xvSdU7/Mhr2pUu+fm//k11v1XmwQcj60PAqjIPpLZvIuKIiMiEOCIiIsNZoH5JW9/4yvwYiIhM6FobEcVbYCWKC1ZFaJbx2L59OzIzM+FwOJCdnY0jR46o1t+zZw/uuOMOXHfddUhPT8fy5cvR2dkZ2l9fXw9FUUaV3l75ewkBBiIic1KGbsSOVMZz/b6hoQEVFRVYu3Yt2traUFBQgIULF6K9vX3M+kePHsWjjz6K0tJSfPLJJ3jjjTfw0UcfoaysLKye0+mE1+sNKw6HQ1ffGIiITMiiaBe9ampqUFpairKyMmRlZaG2thZutxt1dXVj1v/www8xffp0rFmzBpmZmbjzzjuxcuVKnDhxIqyeoihIS0sLK7qPV//hEFGsKRIFGLr5fGQZeWP6SP39/WhtbUVhYWHY9sLCQjQ3N4/5mry8PHz99ddobGyEEALffvst3nzzTTzwwANh9Xp6epCRkYFp06Zh0aJFaGtr0328DEREJmS1CM0CAG63O+xm9Orq6jHb6+joQCAQgMvlCtvucrng8/nGfE1eXh727NmD4uJi2Gw2pKWlYcqUKdiyZUuozowZM1BfX49Dhw5h7969cDgcyM/Px+eff67reHnVjMiEtE6/hvd5PJ6wnNVa94Nenu1SCBExA+bp06exZs0aPPvssygqKoLX68XTTz+NVatWYefOnQCAnJwc5OTkhF6Tn5+POXPmYMuWLdi8ebNqX0a68pzVqZNhn6y+sjo4KHeDnkXn6tNoks3uJ/SsrDaAYhn6DIMBIZVVUXbFtHOGS7sSgJ5/dkjVS7hOfmW17N8mYfIkqXrfftkjVc9eINceAFz4WP0qUU+vzgyNw5PSKvuBoYlimeT5qampsFqto0Y/586dGzVKGlZdXY38/Hw8/fTTAIDbb78dkyZNQkFBAV544QWkp6ePeo3FYsG8efN0j4h4akZkQtGerLbZbMjOzkZTU1PY9qamJuTl5Y35mosXL8JiCQ8RVutQKuBIt90IIXDy5Mkxg5QanpoRmZDVMlQi7h/HwLyyshIlJSWYO3cucnNzsWPHDrS3t2PVqlUAhnKOnT17Frt37wYAPPjgg1ixYgXq6upCp2YVFRWYP38+pk6dCgB4/vnnkZOTg1tvvRV+vx+bN2/GyZMnsW3bNl19YyAiMiELNOaIxtFmcXExOjs7sWHDBni9XsyaNQuNjY3IyMgAAHi93rA1RcuWLUN3dze2bt2Kp556ClOmTME999yDjRs3hupcuHABjz32GHw+H1JSUjB79mx88MEHmD9/vq6+MRARmZDsHJFe5eXlKC8vH3NffX39qG2rV6/G6tWrI7a3adMmbNq0aXydGYGBiMiEFI15oInw+Cs9GIiITEhzjijOLjMxEBGZkOw6onjBQERkQrGaIzIrBiIiE7IoCiwq0UZt30R0xYFIsSiaK1+tNrnnoceERe5kWgzKPcJXdpWvGcg8h142x7TsiunJN6dK1fvhmy6pekD0V7NbEqK/ij4woH73gNb+y1mtQyXifnMv8NeNIyIiE+IcEREZbjjTodr+eMJARGRCHBERkeEsGnNEFs4REVGs8dSMiAwXi5tezYyBiMiEFMtQUdsfTxiIiEwowaIgQWVIpLZvImIgIjIhjoh0sibZYNWRfzhaZFe9WhLkVnWLoNzKV0VypbaeNqPq0r+UwaDAdz7tp20mzJf728nmmJZdMZ00NUWqHgAM+OWeGur4iVyb5yU+FwBIdCZJ1QMA/3f9qvu/79Obs5qT1URkMK4jIiLDWa0KrNbI0cYajK9IxEBEZEYaaUAQX3GIgYjIjCwW9cQROqYqJwQGIiIT4mQ1ERmOc0REZDgFGqlir1pPrg4GIiITslgUWFSu0avtm4gYiIhMiMnzichwmnNEKvsmoitPnp9ghaJ1G0WUk58Pva/kH0LyvTWPYRwUS3Tb1JO4X1EU2Bza13iFkPx8JN9b9tYb2ds2ACDR6ZCqF+iVu43CKvndCfYPStUDgKRJ6j+lgM5s9xwREZHhePmeiAx3rd19H2eHQxQfLJfmiCIVyzjniLZv347MzEw4HA5kZ2fjyJEjqvX37NmDO+64A9dddx3S09OxfPlydHZ2htXZv38/Zs6cCbvdjpkzZ+LAgQO6+yUdiPr6+uD3+8MKEcXG8ByRWtGroaEBFRUVWLt2Ldra2lBQUICFCxeivb19zPpHjx7Fo48+itLSUnzyySd444038NFHH6GsrCxUp6WlBcXFxSgpKcGpU6dQUlKCpUuX4tixY7r6Jh2IqqurkZKSEiput1vXGxGRvOEnKKsVvWpqalBaWoqysjJkZWWhtrYWbrcbdXV1Y9b/8MMPMX36dKxZswaZmZm48847sXLlSpw4cSJUp7a2Fvfddx+qqqowY8YMVFVV4d5770Vtba2uvkkHoqqqKnR1dYWKx+PR9UZEJG84H5FaATDqLKWvb+xHiPf396O1tRWFhYVh2wsLC9Hc3Dzma/Ly8vD111+jsbERQgh8++23ePPNN/HAAw+E6rS0tIxqs6ioKGKbEY9XtqLdbofT6QwrRBQbFsvQPFDEcikSud3usDOV6urqMdvr6OhAIBCAy+UK2+5yueDz+cZ8TV5eHvbs2YPi4mLYbDakpaVhypQp2LJlS6iOz+fT1WbE49VVm4iuiuHL92oFADweT9iZSlVVlWa7IwkhIi4FOH36NNasWYNnn30Wra2teOedd3DmzBmsWrVq3G1Gwsv3RCYkm49I9uwkNTUVVqt11Ejl3Llzo0Y0w6qrq5Gfn4+nn34aAHD77bdj0qRJKCgowAsvvID09HSkpaXpajOSKw5E7QdOwOaYpF5JdmV1nN3IF20yE5SBlXOBZLt0fc/BFqn3Tpis8TfWSTbRPSC/YvqW5QVS9Xzr/yRV75t3/q9UPQCwJqqfXFgD+k4+LFaoXqLXu2jfZrMhOzsbTU1NePjhh0Pbm5qasHjx4jFfc/HiRSQkhIcI66XnYA+vyM/NzUVTUxOefPLJUJ13330XeXl5uvrHERGRCcViZXVlZSVKSkowd+5c5ObmYseOHWhvbw+dalVVVeHs2bPYvXs3AODBBx/EihUrUFdXh6KiIni9XlRUVGD+/PmYOnUqAOCJJ57AXXfdhY0bN2Lx4sU4ePAgDh8+jKNHj+rqGwMRkQnFIlVscXExOjs7sWHDBni9XsyaNQuNjY3IyMgAAHi93rA1RcuWLUN3dze2bt2Kp556ClOmTME999yDjRs3hurk5eVh3759eOaZZ7Bu3TrccsstaGhowIIFC3T1jYGIyIS01gqNZx0RAJSXl6O8vHzMffX19aO2rV69GqtXr1Ztc8mSJViyZMm4+jOMgYjIhCwat3GM9xYPs2IgIjIjPk6IiIxmUTRSxTINCBHFGhOjEZHhLAkWWBIiXxpT2zcRMRARmRBHRDo9HtyMycHEaPQFYlA+r+94L19eKdmczID8lY1gQK5NmfYm41UAdtiTrMhfqp2qZZbvLan3/vbLHql6Fsl80Od98jmrZXNMy66Y/mj9u1L11tQ/rF3pEkey+k9pUAlKtwXwcUJEZALXWqpYBiIiE+I6IiIyXKxWVpsVAxGRCY3MwhhpfzxhICIyIUXRGBHF2WUzBiIiE+IcEREZT+tJHXF2bsZARGRCschHZGYMREQmxKtmOr318GuwJ6sn7xZBuVWlio4wL9tmPJFZ1f20wwEbgN7vB/Gfr/xTs/7hR16Tem97gVzOatmV54nOJKl6ABDsH5SqJ5tjWnbF9MFl8o9Ovv+V/666v0cy7/YwzhERkeE4IiIiw3GOiIgMp0DjKR5xlqKRgYjIhCwJimomA9ksBxMFAxGRCTENCBEZjmlAiMhwQ4FI7arZVezMVcBARGRCXEdERIZTNOaIuI6IiGKOc0Q6LfyPEkx2qCfPt0oOI4WQT0wvS/ZOENk+Dg7I31qSkCj3bYnmcSet3gUkpiLBbsHP7rxRs/7P//VvUu1e+Fgu2X1A8vPxf9cvVQ8AkibJfU2tkp+3VqL7YVq3bYzUuPKQ6v7ebj/wv6ZIt8d8RERkOGuCovr0Etknm0wUcTbAI4oPw/eaqZXx2L59OzIzM+FwOJCdnY0jR45ErLts2bKhkdll5ac//WmoTn19/Zh1envlHxcFMBARmVIsAlFDQwMqKiqwdu1atLW1oaCgAAsXLkR7e/uY9V9++WV4vd5Q8Xg8uOGGG/DII4+E1XM6nWH1vF4vHA6Hrr4xEBGZ0PBktVrRq6amBqWlpSgrK0NWVhZqa2vhdrtRV1c3Zv2UlBSkpaWFyokTJ3D+/HksX748vK+KElYvLS1Nd98YiIhMyJpg0SwA4Pf7w0pfX9+Y7fX396O1tRWFhYVh2wsLC9Hc3CzVp507d+JXv/oVMjIywrb39PQgIyMD06ZNw6JFi9DW1qb7eBmIiExIdkTkdruRkpISKtXV1WO219HRgUAgAJfLFbbd5XLB5/Np9sfr9eLtt99GWVlZ2PYZM2agvr4ehw4dwt69e+FwOJCfn4/PP/9c1/HyqhmRCclevvd4PHA6f8yQarfbNdsdSQghtRSgvr4eU6ZMwUMPPRS2PScnBzk5OaH/z8/Px5w5c7BlyxZs3rxZs91hDEREJiR7973T6QwLRJGkpqbCarWOGv2cO3du1CjpckII7Nq1CyUlJbDZbBr9tmDevHlXb0Q0vAjv+z7tfMLX7ILGwNVf0Oj3d8MGGwYvdqP7onae5OG5Bi2yOZdlFzR+3yefwzlglft8rJKf96Ai10c9eaZ7u/2q+/t6hvbL/q17+gZUcw716Pj8AMBmsyE7OxtNTU14+OEfc3Y3NTVh8eLFqq99//338cUXX6C0tFTzfYQQOHnyJH72s5/p6h/EOHk8HgGAhYVFR/F4PKq/qx9++EGkpaVJtZWWliZ++OEH6d/svn37RGJioti5c6c4ffq0qKioEJMmTRJfffWVEEKIP/zhD6KkpGTU6373u9+JBQsWjNnm+vXrxTvvvCO+/PJL0dbWJpYvXy4SEhLEsWPHpPslhBDjHhFNnToVHo8HycnJoXNMv98Pt9s96rx1IuKxmNNEPRYhBLq7uzF16lTVeg6HA2fOnEF/v/YtMDabTdd6neLiYnR2dmLDhg3wer2YNWsWGhsbQ1fBvF7vqDVFXV1d2L9/P15++eUx27xw4QIee+wx+Hw+pKSkYPbs2fjggw8wf/586X4BgCJE9M4L/H4/UlJS0NXVNaG+JGPhsZhTPB0L/YiX74nIcAxERGS4qAYiu92O5557TnMtw0TAYzGneDoW+lFU54iIiMaDp2ZEZDgGIiIyHAMRERmOgYiIDMdARESGYyAiIsMxEBGR4RiIiMhw/x8XnmDifBeEbAAAAABJRU5ErkJggg==",
"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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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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cfP3110qfd/LkSWzfvh2jR4/Wej9UunGDP8gk0IQCZmANDQ0MAGtoaDD0pokG4uLimLe3N7t165bSvBs3bjDGGPP19WWbNm3q9TMqKioYAFZSUiKf1tjYyACwDz74QOvYwsPD2cKFC+Xvv/iCMVfXQDZ9eiq7dk31OsuWLWOBgYEK0xYsWMAiIiL63FZwcDB79dVXFaY1NTUxf39/lpuby6KiolhycrLasXd0dLAvv/ySffnll6yjo0N5ge+/Zwxg7MwZtT/TENT93tIZClFy/fp1HDlyBIsWLYKDiv5ZZ2dnrT63vb0dO3bsAABYW1vLpx87dgyOjo59vt58800AwJ07d3D69GnExsbK158yBRg/PhalpUXYvBk4cABobFTcdnFxscI6ADBx4kScOnUK7e3tSrEyxnD06FGUlZVh3LhxCvMWLVqEKVOmYMKECVr9HfokkfD+cQHegwLQfShEhUuXLoExhsDAwLsuu3z5crz66qsK07766itER0fL348ZMwYWFhZoaWlBZ2cn/Pz8MKtb4aCwsDCUlpb2uZ3BgwcDAK5duwapVAp3d3f5PCsr4KGH3FFaWou4OD6MiOwRmDNneOH4yspaPPigO44f572xLi6ApaU7Ojo6kJNzDa6unr9/VgOiorzR1tYGCwtLfPjhVvzxj3+UbyszMxP/+c9/cPLkybv+bbQikQAjRwq2bB0lFKKE/V5zS6TGg2l/+9vfkJSUpDDN29tb4f3+/fsRGBiI8vJypKSkYNu2bfIEAQADBgzAKA3vuegZG2MMIpEI4eH8CWXZ7NOneXnL5mbg0iURcnMBJyeeUGpq+H4WForg5MSXHzXKCaWlpbh69RbWrDmK5OSlaGsbgXnzonH9ehWSk5ORk5MDO3194QXcIAtQQiEq+Pv7QyQS4cKFC3jqqaf6XNbV1fWuycDHxwf+/v7w9/eHo6MjZsyYAYlEAjc3NwD8kicuLq7Pz1i5ciVWrlwJV1dXWFpaora2VmF+XV2d/Kyle66RFTvLyfHAAw/UovvJlJtbHaysrPD3v7ug6wrMAsAojBoFfPbZw5g16wLefz8N9fXRuH37NOrq6hAaGir/DKlUisLCQmzevBltbW29V2BTl0QCzJlzb59hRJRQiJLBgwdj4sSJ2LJlC5YsWaLUjnLz5k2t21GioqIQFBSE9evX4/333weg2SWPjY0NQkNDkZubi6efflo+Pzc3F9OmTet1/cjISKXu6pycHISFhSm053Tn7Az4+DC0tLRh+nSguflxJCaeQ2MjcPYs8OijwF/+MheBgYFYvnz5vSeTxkZeAZzOUIi52bp1K8aMGYPw8HC8/vrrGD16NDo6OpCbm4v09HRcuHABANDU1KR0tmBvb99n3dFXXnkFM2fOxLJly+Dt7a3xJc/SpUuRkJCAsLAwREZGYvv27bh8+TIWLlwoX2bFihW4cuUKdu/eDQBYuHAhNm/ejKVLl+L5559HcXExdu7ciU8//VS+TlpaGsLCwjBy5EjcuXMHhw8fxu7du5Geng7eO+wEIAjl5fzZvV9/BRwcHODi4oKgoCC14+/VxYv8p4ATCnUbk15VV1ezRYsWMV9fX2ZjY8O8vb3Zk08+yfLy8hhjvNsYgNJrwYIFjDHV3caMMdbZ2ckCAgLYCy+8oHVsW7ZskccVEhLCCgoKFOYnJiayqKgohWn5+fksODiY2djYMD8/P5aenq4wf9WqVWzUqFHMzs6ODRo0iEVGRrLMzEyV2z95krE1axgLD9dht/GuXbzLWEVXvbGp+72lqveEaIExYM8efqby4ov8CWh19Fn1PiGBX0udOaOHiO8NVb0nRI9EIj6mkEiko2eKOjp44ZepU3XwYcZDCYUQLTk7A0uWAEOH8iE/Dhy4h4LaxcW82AslFEL6L1kFuRs3+FA627YBFRVafNDBg3wE+0ce0Wl8hkYJhRAd8PLiY0QPGcIHKyso0LAI1MGD/BkCgde4FHb0hJgQR0ferhoVBRQWAj1603t36RLvMhb45Q5A96EQolMWFkB0NBAczAeBZ4wnFk/PPlY6eJB3E3V7Zkio6AyFED0Qi/nPDRuA0FA+KoZKUimwfz+vbWkGlbcpoRCiR/Pm8d6g6GggJ4efscgxBixeDJw6Bbz8spEi1C2tEsrWrVsxfLhm5fcI6Y/c3Xn92xEjgIkTgXHjLNDezr92ovXrebfQP/9pFpc7gBYJZf/+/UhJScGqVbz83tixdy+/R0h/5u4OHDsGHDkCjB/PIK6vRvDGt4C164A33gDmzzd2iLqj6T39PcvvMcZYYGAgS01N1ekzAYSYnfp6Jk1JYVIrK7bVYQmLDqxmpSWdxo5KLep+bzXq5ZGV30tNTVWYHhsbi6KiIpXrtLW1oa2tTf6+UVabb/t2YMAAjZIfIYJ19SrwwQcQtbejLD4ejf5P4/JuDzwcLMLTT/M22SeeAPz8eJPK8eOKq/v7A7GxvMKBqkL8L7zAe5iys3mN6+7Gjwfuvx84f57fH9Pd0KHAtGlAezv/SvaUlMTbitWtKa5RQlFVfg8A3N3dlR5hl0lLS8O6deuUZ6xcqVgJhxBzZmUFPPssOl97DT+dPo0H0IQfl3ciM9MSaWnAoUO88qOfH5CbC6xdq7j6rFk8oVy/DixdqvzxCxbwhLJ5M/D994rzduzgCaW4WHndmBieUO7cUf2506fzhNLL+YISjZ42rq6uhre3N4qKihAZGSmfvn79euzZswcXZfUculF1huLj40NPG5N+qc+njU2Yuk8ba3SGok75vZ5sbW1h2+3Zbln+auxZlpyQfkAqlaK5uRkA/w4IKaEAXd/f3miUULQtv9ddU1MTAF5nlBAiLE1NTRDL7tpTQeNb79Upv9cXLy8vVFVVwcnJSa2q6ncju4SqqqoS9CWUOewH7YPp0PV+MMbQ1NQELy+vPpfTOKHEx8ejvr5ePgRlUFAQDh8+DF9fX7XWt7CwwNChQzXd7F0NHDhQ0P8AZMxhP2gfTIcu96OvMxMZrR4OfPHFF/Hiiy9qsyohxIzRszyEEJ0RfEKxtbXFmjVrFHqShMgc9oP2wXQYaz8MXvWeEGK+BH+GQggxHZRQCCE6QwmFEKIzlFAIITojyISyfv16jBkzBvb29nB2dlZrHcYY1q5dCy8vLwwYMADR0dH48ccf9RtoH27cuIGEhASIxWKIxWIkJCTg5s2bfa6TlJQEkUik8IqIiDBMwL/TtFpfQUEBQkNDYWdnhxEjRmDbtm0GirR3muxDfn6+0t9cJBKpfBDWUAoLCzF16lR4eXlBJBLhiy++uOs6BjsOeq7LoherV69m7733Hlu6dCkTi8VqrbNhwwbm5OTEsrKy2Llz51h8fDzz9PRkjY2N+g22F5MmTWJBQUGsqKiIFRUVsaCgIPbEE0/0uU5iYiKbNGkSq6mpkb/q6+sNFDFjmZmZzNramu3YsYNJJBKWnJzMHBwc2C+//KJy+f/+97/M3t6eJScnM4lEwnbs2MGsra3Zv/71L4PF3JOm+5CXl8cAsLKyMoW/u9JA5wZ0+PBhtmrVKpaVlcUAsAMHDvS5vCGPgyATikxGRoZaCaWzs5N5eHiwDRs2yKe1trYysVjMtm3bpscIVZNIJAwA++GHH+TTiouLGQB28eLFXtdLTExk06ZNM0CEqmlarW/ZsmUsMDBQYdqCBQtYRESE3mK8G033QZZQbty4YYDoNKdOQjHkcRDkJY+mKioqUFtbi9jYWPk0W1tbREVF9VppTp+Ki4shFovx6KOPyqdFRERALBbfNZ78/Hy4ubnhvvvuw/PPP4+6ujp9hwugq1pf978h0He1vuLiYqXlJ06ciFOnTqG9vV1vsfZGm32QCQ4OhqenJx5//HHk5eXpM0ydM+Rx6BcJRVa/RZNKc/qOx83NTWm6m5tbn/HExcVh3759+Pbbb/Huu+/i5MmTGD9+vEIBK33RplpfbW2tyuU7Ojpw7do1vcXaG232wdPTE9u3b0dWVhays7MREBCAxx9/HIWFhYYIWScMeRxMZuTAtWvXqi4V2c3JkycRFham9TZ6lktgjOmkhIKMuvugKhZ14omPj5f/HhQUhLCwMPj6+uLQoUOYPn26llFrRtO/oarlVU03JE32ISAgAAEBAfL3kZGRqKqqwjvvvINx48bpNU5dMtRxMJmEsnjxYvz5z3/ucxk/Pz+tPtvDwwMAz9Se3caE7KvSnDbU3YezZ8/it99+U5p39epVjeLx9PSEr68vfvrpJ41j1ZQ21fo8PDxULm9lZQUXFxe9xdobbfZBlYiICOzdu1fX4emNIY+DySQUV1dXuLq66uWzhw8fDg8PD+Tm5iI4OBgAv54uKCjAxo0bdbYddfchMjISDQ0NOHHiBMLDwwEAx48fR0NDA8aMGaP29urr61FVVaWQJPVFm2p9kZGROHjwoMK0nJwchIWFwdraWq/xqqKLioMAUFJSYpC/ua4Y9DjovJnXAH755RdWUlLC1q1bxxwdHVlJSQkrKSlhTU1N8mUCAgJYdna2/P2GDRuYWCxm2dnZ7Ny5c2z27NlG7zYePXo0Ky4uZsXFxewPf/iDUrdx931oampir7zyCisqKmIVFRUsLy+PRUZGMm9vb4Ptg6zLdefOnUwikbCUlBTm4ODAKisrGWOMpaamsoSEBPnysu7Kl19+mUkkErZz506T6TZWdx82bdrEDhw4wMrLy9n58+dZamoqA8CysrKMtQusqalJ/m8eAHvvvfdYSUmJvOvbmMdBkAklMTGRAVB65eXlyZcBwDIyMuTvOzs72Zo1a5iHhweztbVl48aNY+fOnTN88L+rr69nc+bMYU5OTszJyYnNmTNHqWuy+z40Nzez2NhYNmTIEGZtbc2GDRvGEhMT2eXLlw0a95YtW5ivry+zsbFhISEhrKCgQD4vMTGRRUVFKSyfn5/PgoODmY2NDfPz82Pp6ekGjVcVTfZh48aNbOTIkczOzo4NGjSIPfbYY+zQoUNGiLqLrCu75ysxMZExZtzjQOULCCE60y+6jQkhhkEJhRCiM5RQCCE6QwmFEKIzlFAIITpDCYUQojOUUAghOkMJhRCiM5RQCCE6QwmFEKIzlFAIITpDCYUQojP/D41HPzR6v181AAAAAElFTkSuQmCC",
"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": 110,
"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": 110,
"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": {},
"source": [
"### Pitch 0.4 mm"
]
},
{
"cell_type": "code",
"execution_count": 111,
"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": 111,
"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-V2-0010-0.4'] 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": 112,
"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": 112,
"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": 113,
"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": 113,
"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-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": 114,
"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 330x180 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 114,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 330x180 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', 'Ground touched', 'Mesh 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=(3.3, 1.8), batchlabels=batchlabels, label_placement='y')"
]
},
{
"cell_type": "markdown",
"id": "4d1ef7b7-364e-45a0-b3ca-2bb03607de28",
"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": 115,
"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": 115,
"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'] == '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, label_placement='x')"
]
},
{
"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": 116,
"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": 116,
"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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",
"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['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": [
"## Can we distinguish baseline versus modified meshes?\n",
"\n",
"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": 117,
"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 0.976378\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.982±0.00198 min: 0.977 max: 0.986\n",
"Cross class: 0.565±0.0481 min: 0.477 max: 0.666\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000000\n",
"EER: 0.0 th: 0.9724856278409246\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 0.961962\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.969±0.00239 min: 0.966 max: 0.974\n",
"Cross class: 0.585±0.0657 min: 0.501 max: 0.761\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000004592\n",
"EER: 0.0 th: 0.9656144972371224\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 0.976378\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.982±0.00198 min: 0.977 max: 0.986\n",
"Cross class: 0.699±0.0452 min: 0.634 max: 0.767\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000000415\n",
"EER: 0.0 th: 0.9701882899735962\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 0.961962\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.969±0.00239 min: 0.966 max: 0.974\n",
"Cross class: 0.735±0.0434 min: 0.696 max: 0.859\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.000000089605\n",
"EER: 0.0 th: 0.9617505986759662\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 0.976378\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.982±0.00198 min: 0.977 max: 0.986\n",
"Cross class: 0.982±0.00166 min: 0.978 max: 0.984\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999354499878\n",
"EER: 0.4133333333333334 th: 0.9822763983433783\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 0.961962\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.969±0.00239 min: 0.966 max: 0.974\n",
"Cross class: 0.971±0.00242 min: 0.966 max: 0.975\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999848317762\n",
"EER: 0.6333333333333333 th: 0.9697796637264954\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"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_8132/67524520.py:125: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`). Consider using `matplotlib.pyplot.close()`.\n",
" fig, ax = plt.subplots(figsize=figsize)\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"EER: 0.4923076923076923 th: 0.2817379300134156\n"
]
},
{
"data": {
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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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",
"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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",
"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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",
"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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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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DoXBATU0NGhsb0bNnT0ybNk2/fEREBPIeMihQt27dAADl5eXQarXw9vY2KPf29kZZWVmL65eVlTW7TkNDA8rLy+Hr69viMrrPNXfbrZLZNRROKExyRAQAENrwsNXrr7+OmTNnGszz9/eHszMQFSX+/NJLe7BkSQguX76AxYsXY9u2bfoEAQDOzs7o27evSTE+GBsRPTTe5tZ5cH5bPtecbbeIWyjM3vXr1w+CICA/Px+TJ09uddkePXq0mAx0x9jo0YEIDu6HkJB+cHNzw5QpU6DRaODl5QVAPOWJiYlpdTvLli3DsmXL0KNHDygUCqMWwY0bN4xaDvfz8fFpdh1HR0d079691WV0n2vutlslsxYKX0NhkuvWrRvGjh2LLVu24K7ubdj73L5926TPCw4GGhqAoiJg5MiRGDRoEFavXq0v153ytDbNnTsXAKBSqRAeHo7MB7rnz8zMxPDhw1uMISoqymidw4cPIyIiQn89p6VldJ9r7rZbJbMWCt/lYR3iypUr5OPjQ6GhobR//366cOECaTQa+uijj/R3Sx68baybdL8butvGubm59O9/EyUmEn3xBdHOnemkVqupuLjYrNh0t25TUlJIo9HQ4sWLydXVlQoLC/XLJCQkUFxcnEF9XFxcaMmSJaTRaCglJcXotvHx48dJoVDQ2rVrKT8/n9auXdvibePWtt0ao7s87u5E69eb9T2Ygm8bM6srKSmhBQsWUFBQEKlUKvL396eJEyfSkSNHiEhMKACMpjlz5hCRYUJpbCQ6d45o40ailJRGCg4Opnnz5pkd25YtW/RxDR06lLKysgzKZ8yYQSNHjjSYd/ToUQoLCyOVSkU9e/akpKQko8/dt28fBQcHk1KppJCQEDpw4IDJ226NQUKprydSKIi2bm3z+uZq63ErEP1+ZclCKisr4eHhgYqKCri7u1ty08wO/PwzkJYmdjHZwt1nu6bVapGRkQEAGDdmDBQuLuI99hkzOnS7bT1u+RoKsykDBgDdugE3b1o7EhmQ2Zg8AN/lYTZGpQIWLpRN9x/WpeutTUYXZbmFwmyOIIiDs1dWWjsSK5NhC4UTCrM5RMCnnwLHjlk7EivjFgpj7ScIwKBBwLlz4vMpnRa3UBiTRliY+Af63DlrR2JF9tJCkbSDGMbM0KMHcOYM8NJL4ilQpySzITQAMxLKnj17sHjxYixfvhy5ubkYMWIEYmJicO3atY6Ij7EWvfYaMHAgcOeOtSOxDsEeWigbNmzAyy+/jPj4eAwYMAAffvghAgMDkfRg5xWMdbBRo4CvvgK6dLF2JJYnNDQAJ0+KPzg7WzeY+5j0HIqug5iEhASD+a11EFNXV4e6ujr9z5W6e32ffCKrL4LZpnqtA3acCsbl/7jDz6PpRcTnwi7D270G2Zd8cfZ6d4N1BvvfxIi+pfit0hn7c/sYlKmVWsQPzwcA7DzVHxU1hgNoPfM/VxHUrQo/XfXCqUIvg7J+XhWIHlCEyholdpwKNop13ohzcHAA/pHXG6UVhqcp/xtcjBCf2zhX0g1ZF/0MygK63sWkwQWo1zrg45wBKCuuQLf8fBRWAMLoA5hZ4wBXVyAjAygoMNzm8OHi9abLl407Ae/eHXj+efH/H39sfIH7+efFZY4cAUpKjKrTPFOe579+/ToBoOPHjxvMX716NfXv37/ZdRITE5t9X6NCqSRSqXjiqV1TndKVBgrnSIVag+knx2FEKhUtdvjIqGyJw4dEKhWdcowyKvNBif6zQ4VfjMoPOj5DpFLRasXbRmVxDjuIVCq6ouxvVKZCLTUonYhUKholHDEq+0Ixk0iloo8V84zKnhYOEalUdEfp2TRfqCOVUksqFVFpqXisPfec8Vf0wQdi2T/+YVwWHt50nHp4GJfruu2dN49o1KgOeJenpKQE/v7+OHHiBKJ0vd8AWL16NXbs2IFff/3VaJ3mWiiBgYH8Lg9jZjB4l2fcOCgUCotst63v8ph0ymNOBzFqtRpqtVr/sy5/VXb6xxwZM51Wq0X17xdjKysrLZpQgKbjtyUmJZT7O4j5030jXWdmZmLSpElt+oyqqioAQGBgoCmbZozJQFVVFTw8PFosN/nlwKVLlyIuLg4RERGIiorCJ598gmvXrul7xHoYPz8/FBUVoUuXLub3oykh3SlYUVFRpzkF62x17mz1BaSvMxGhqqoKfn5+rS5nckKJjY3FzZs3sWrVKpSWlmLQoEHIyMhAUFBQm9Z3cHBAQECAqZvtcO7u7p3ml02ns9W5s9UXkLbOrbVMdMzqvmD+/PmYP3++OasyxuwYv8vDGJNMp08oarUaiYmJBnei7F1nq3Nnqy9gvTpbvE9Zxpj96vQtFMaYdDihMMYkwwmFMSYZTiiMMcl0ioRibg9zx48fh6OjIx577LGODbADmFrnuro6LF++HEFBQVCr1ejTpw+2b99uoWjbz9T67tq1C0OGDIGLiwt8fX0xa9Ys3LSRwX6ys7MxYcIE+Pn5QRAEfP311w9dJysrC+Hh4XByckLv3r2xbdu2jgnOlO4LbJFuLNnk5GTSaDS0aNEicnV1patXr7a63u3bt6l3794UHR1NQ4YMsUywEjGnzhMnTqTHH3+cMjMzqaCggH788UejbirkytT65uTkkIODA3300Ud05coVysnJoYEDB9LkyZMtHLl5MjIyaPny5XTgwAECQGlpaa0urxuXedGiRaTRaCg5OdloXGap2H1CiYyMpLlz5xrMCwkJoYSEhFbXi42NpbfffpsSExNtLqGYWueDBw+Sh4cH3bx50xLhSc7U+q5fv5569+5tMG/Tpk0UEBDQYTF2lLYklDfeeEM/QL3OnDlzaNiwYZLHY9enPLoe5qKjow3mt9bDHACkpqbi8uXLSExM7OgQJWdOndPT0xEREYF169bB398f/fv3x1//+lfU1NRYIuR2Mae+w4cPR3FxMTIyMkBE+O2337B//36MHz/eEiFb3A8//GD0/YwdOxanT59GfX29pNuy66FIy8vLodVqjfpq8fb2NurTRefixYtISEhATk4OHB1t7+sxp85XrlzBsWPH4OTkhLS0NJSXl2P+/Pm4deuW7K+jmFPf4cOHY9euXYiNjUVtbS0aGhowceJEbN682RIhW1xZWVmz309DQwPKy8vh6+sr2bbsuoWi82A3CUTUbNcJWq0WL7zwAlauXIn+/ftbKrwO0dY6A0BjYyMEQcCuXbsQGRmJcePGYcOGDfjss89sopUCmFZfjUaDV199FStWrMCZM2dw6NAhFBQUtLkLDlvU3PfT3Pz2sr0/wSYwtYe5qqoqnD59Grm5uXjllVcAiAcbEcHR0RGHDx/G6NGjLRK7uczpVc/X1xf+/v4Gr6cPGDAARITi4mL069evQ2NuD3Pq+/777+OJJ57A66+/DgAYPHgwXF1dMWLECLz33nuS/sWWAx8fn2a/H0dHR3Tv3r2Ftcxj1y2U+3uYu19mZiaGDx9utLy7uzvOnj2LvLw8/TR37lwEBwcjLy8Pjz/+uKVCN5updQaAJ554AiUlJbhz3wA3Fy5ckG3fNfczp77V1dVwcDD81dd1pUh2+GpbVFSU0fdz+PBhREREQKlUSrsxyS/zyozulmJKSgppNBpavHgxubq6UmFhIRERJSQkUFxcXIvr2+JdHlPrXFVVRQEBAfTcc8/RL7/8QllZWdSvXz+Kj4+3VhVMYmp9U1NTydHRkbZu3UqXL1+mY8eOUUREBEVGRlqrCiapqqqi3Nxcys3NJQC0YcMGys3N1d8mf7C+utvGS5YsIY1GQykpKXzbuD22bNlCQUFBpFKpaOjQoZSVlaUvmzFjBo0cObLFdW0xoRCZXuf8/HwaM2YMOTs7U0BAAC1dupSqq6stHLX5TK3vpk2bKDQ0lJydncnX15emT59OxcXFFo7aPEeOHGl2aJoZM2YQUfP1PXr0KIWFhZFKpaKePXtSUlJSh8TG3RcwxiRj19dQGGOWxQmFMSYZTiiMMclwQmGMSYYTCmNMMpxQGGOS4YTCGJMMJxTGmGQ4oTDGJMMJhTEmGU4ojDHJcEJhjEnm/wGn6MARR7OZewAAAABJRU5ErkJggg==",
"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"
},
{
"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"
},
{
"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"
},
{
"data": {
"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"
},
{
"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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8ebj++uvx0EMPYXh4OKvPwh4RkaLMDs0+eV/o9u3bsWPHjknv7+/vRzweR1VVVdrrVVVV6O3tzVjHe++9h9deew1utxvPPfcc+vv70dzcjA8//BB79+41/VmYiIgU5dQEnDqJKHksEAjA4/GkXje6VUvT0pdCCiEmvZaUSCSgaRr279+PiorxJ7ns2rUL99xzD5588kkUFxeb+ixMRESK0rTxonccADweT1oimsrs2bPhdDon9X76+vom9ZKS5s6di3nz5qWSEAAsWbIEQgicPXsWixcvNv4g4BwRkbKSk9V6JRtFRUWora1FV1dX2utdXV1Yvnx5xpgVK1bg/PnzGBwcTL329ttvw+FwYP78+Vl8FiJSk/ZxryhTsXKzWUtLC371q19h7969eOutt7B161b09PRg48aNAMa3A1q7dm3q/atXr0ZlZSXuv/9+nDp1Cq+88goefvhhPPDAA6aHZQCHZkTKcmrjRe94tlatWoWBgQHs3LkTwWAQS5cuRWdnJxYuXAgACAaD6OnpSb2/rKwMXV1d2LRpE+rq6lBZWYmVK1fi0UcfzapeJiIiRTk0AYfOZLXeMT3Nzc1obm7OeKyjo2PSa5/5zGcmDeeyxUREpCizk9UqYCIiUpRDGy96x1XBRESkKPaIiMh2Tsd4mfK4OruAMBERqYpDswkcmgaHxT5gJJzdVgGZfOU75hdNZdL9Yp9UfN/7F6XiAWBwUG6T89tuqTB+kwHZ/YSG/kduP6N/f/bblmOLS5wAAM+sQmxvv8nyeTqfetdybFJpubU/qYvR7P8WHDBIRJZaYg/2iIgUxTkiIrKdZjA0YyIiopwznKxWaGzGRESkKE5WE5HtOEdERLYzumJt9Wq2HZiIiBR1RfaIotFo2qbb4XA4Jw0iInMKnONlyuMKraw2Pa/u9/tRUVGRKp/ckJuILi9N0wyLKkwnIp/Ph1AolCqBQCCX7SIiA8mrZnpFFaaHZi6Xy3D3fyK6jByApteV4DoiIso1riMiIts5NQ1OnWzjVGiOiImISFGawdBMd9iWZ5iIiBTFBY0TDA+NQbO4rdDNt86WrR7uMrmPEAyOSMW/868hqXgAWLlhkVT8sT8EpdswEpOLl9lPCAD+++5nLMduLQYKAQxFxvD8Y/9n+TzL6istxyYde/EDS3HDoxb2I+IcERHZjUMzIrKd02EwWa1Ql4iJiEhR7BERke04WU1E9jO4+x7q5CEmIiJVOZ0anE6dOaKEOpmIiYhIUVfkfkRElF8cDg0OnStjesfyDRMRkaI0GPSILltL5DERESmKPSIisp3DMV70jquCiYhIUewREZHteNWMiGxntEG+SpvnMxERKWom3WumCSEsPf0oHA6joqICve+/C4+n3FLlBYXyPylngVzWH75ocTOlS0RCKhwAUCy5p1JsOC7dhtExuYdgFZfoPGDLhOHiqy3HljnG76tKxOMY+ehDy+cpdMl/H2Mj1n4X4UgE1Z+6DqFQCB6PR/+9l/72Dq67HaVFU393LsbGcM+e/zV1TrtJ94iKr5qN4jz/kHpK3Xa3QF5x8TScQ/4UUgqn4RwOpxMllddMw5msKyyzFhcvyv6LyDmiCYY+7EfBWNT4jRlMx8+psEjuX7G4ZE+gqHg6/hWV61ZZ7NSmtyEmdw7PLLlUMhSx3jN1z7oaDqcTCSEwKPGjdEUGrAdfYnU4FAtHLNSlQdO5MqZ3LN9IJ6KuR+5DiU73ULdyyWEVANzwRetdegA4+/agVHz93fOk4gGg+0+9UvGD4VHpNhz5S/Z/CBNtb79JKl5mi9d/2/0MSiqvwWAC+Lm1nVoBAHfsWms9+BKXxSHqYDT73yG3iiUi22kwuGqm0E0eTEREinI4NTh0tgHRO5ZvmIiIFMVbPIjIduNXzfQWNF7GxkgynYii0Sii0Y+vjoXD4Zw0iIjMmUkLGk031e/3o6KiIlW8Xm8u20VEBpK3eOgVVZhORD6fD6FQKFUCgUAu20VEBpwFmmFRhelE5HK54PF40goR2Se5slqvWNHW1oaamhq43W7U1tbi1VdfNRV35MgRFBQU4HOf+1zWdSo0iiSiiZIrq/VKtg4cOIAtW7Zg27Zt6O7uRkNDA5qamtDT06MbFwqFsHbtWnz5y1+29FmYiIhUZdQbstAj2rVrF9atW4f169djyZIlaG1thdfrRXt7u27chg0bsHr1atTX11v6KExERIpyaFpql8aM5dLYLBwOp5WJV78nisViOHHiBBobG9Neb2xsxNGjR6dsx69//Wu8++672L59u/XPYjmSiGyVXFmtVwDA6/WmXfH2+/0Zz9ff3494PI6qqqq016uqqtDbm/l+yHfeeQePPPII9u/fj4IC68sSuaCRSFFm774PBAJpF5dcLpf+eT8xyy2EyLgUIB6PY/Xq1fjRj36E66+/PpumTyKdiGRm5y98EJOtHjdK3k8TtbiRVdKZ7o+k4gH5u+cHpuHnuHCu3Feh86l3peKX1Vdajk1uaOaKDEjdQf9Syx8txyYtefAOS3FDo9lvg2J2PyKzV7lnz54Np9M5qffT19c3qZcEAJFIBMePH0d3dze+//3vAwASiQSEECgoKMALL7yAO+4w9/Ngj4hIUdP9FI+ioiLU1taiq6sLd911V+r1rq4ufPOb35z0fo/Hg7///e9pr7W1teGll17CwYMHUVNTY7puJiIiReXi7vuWlhasWbMGdXV1qK+vx9NPP42enh5s3LgRwPjC5nPnzmHfvn1wOBxYunRpWvy1114Lt9s96XUjTEREisrFvWarVq3CwMAAdu7ciWAwiKVLl6KzsxMLFy4EAASDQcM1RVYwEREpKldbxTY3N6O5uTnjsY6ODt3YHTt2YMeOHVnXyUREpChuFUtEttM0gx6RQnffMxERKYpbxRKR/YxubFVobMZERKQo7llNRLbjAxaJyHZ85DQR2c5R4ICjYOrxl96xfMNERKQozhERke34yGkist1Meq4ZExGRonjVbIKT/xyGy2ntNN9dUy1bPdylch9hZFhuY7RXDl+QigcAr7dY+hyyhJCLLy2X+z0ce/EDy7ELVsdRWDbeA3CVOC2fx+qmZhO99bOXLMWNRMLAM7OyijF6dplKzzVjj4hIUeNDM70e0WVsjCQmIiJFcWhGRLbjgkYisp1msGc1e0RElHMOpwaHzoQ0twEhopy7IueIotFo2qNqw+FwThpERObMpFs8TDfV7/enPbbW6/Xmsl1EZCDZI9IrqjCdiHw+H0KhUKoEAoFctouIDMykRGR6aOZyuQyfmU1Elw9XVhOR7a7IyWoiyi+8+56IbMfnmhGR7ThHBEBc2jciGre+jcbgyKjl2CTHkFz/cyg2JhU/PCoXDwAXJdswNA1tGB6V2w7lYtS+n2M4EkG8yI1YOILBqPXv1HT8HEci1tbXRQfH40QW+7FEhkd1e0SRYfm/r8tFE9l88gnOnj3LtURE0ywQCGD+/Pm67xkZGUFNTQ16e3sNzzdnzhycPn0abrd7upqYE5YTUSKRwPnz51FeXp5xLBoOh+H1ehEIBODxeKQbaoXdbbC7frYhP+o30wYhBCKRCKqrq+EwsSR6ZGQEsVjM8H1FRUV5n4QAiaGZw+EwzNwA4PF4bPvl50sb7K6fbciP+o3aUFFRYfo8brdbiQRjlkIX+IhopmIiIiLb5SwRuVwubN++3dbbQuxug931sw35UX++tCGfWZ6sJiKaLhyaEZHtmIiIyHZMRERkOyYiIrIdExER2Y6JiIhsx0RERLZjIiIi2/0/VAh3LbufEqwAAAAASUVORK5CYII=",
"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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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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BRLh69Sq87k83YGFhoazPgAEDkJ2djQ0bNqgEFEtLS2Uef39//Pjjj9i2bRv+ZTAjXzFN4DaUOvr7VuGKzzO43d4ZX763C89OaN54tB07dsSYMWOwfft23Lt3Ty39zp07rS7TyJEj0bdvX6xbt065THHJ09hr7v1BnCwtLeHn54ekpCSV7SYlJWFoI2PaDhs2DNevX8fdu3eVyy5cuAALC4tGZ48jIpW5mFqbhxkhbbcO12WIvTwqYmKIADq1bt2DbmMiqq0l+v33xlfNzc0lFxcX8vX1pS+++IIuXLhAWVlZtG3bNvLx8SGihruNFZ9Hfb08RKLr1crKiq5evdqqaim6jaOjoykrK4vCw8PJxsaG8vPzlXmWLl1KoaGhyvclJSXUrVs3euGFF+i///0vJScnk5eXF4WFhSnzrF+/nhITE+nSpUuUnZ1N77//PrVr146ioqKUeZYtW0YpKSmUl5dHv/76Ky1fvpwsLCwoMTGxVXVhusfdxq1RW0vUpw/VPvus6n0oRLR0KVHv3kQVFY1v4vr16zR//nzq3r07WVpakpubG02cOJFOnDhBRCKgAFB7zZkzh4gaDii1tbXk7e1N//d//9fq6m3fvl1ZrkGDBlFycrJK+owZM2jkyJEqy7Kzs+npp58ma2tr6tatG0VERFBpaakyfcWKFfToo4+SXC6nDh06UEBAAMXGxqpsY/bs2cr9du7cmZ566ikOJkamucethEi3A8QWFxfDwcEBRUVFhje38bFjQFAQar79Fkfun+aPGzcOUqkUv/4qHtfZsAF44w09l5MxHWvuccttKA977z0xQNKIEWpJ/foBCxYAq1c3PrshY+aMA4pCRgZw/Djw+usNDoy0erW4x+3rr3VbNMaMBQcUhbVrxRwbkyc3mMXBQUwa5uKigbFUGDNBfB8KACQmioGS9uwRjyE30k8cEqLDcjFmZPgMpaICWLgQGDlSTMDVTN9+K4aPZYw9wAFl82bg0iXgww9bNKh0ebkYHkUrI+gzZqTM+5Lnhx9E28lrrwF9+7ZoVS8vYPx4oFs3YNo0LZWPMSNjvmcoOTkiIgwaJEaubiEvLzGfFz+KwtgD5hlQCguBMWMAZ2cgIQG4/9RsS/3tb0BqKpCbq+HyMWakzPOSZ8EC0QiSmiom52qlSZPEnF49e2qwbIwZMfMLKMeOiS7ivXsBd/c2bcrSUjS9ELViSg7GTJB5XfIouohHj9bYDSVlZUD//sC772pkc4wZNfMJKESiRyc/v8VdxI2xtgaeeUZs+soVjWySMaNlHgHlzBlg+HDRm7N8OaDhYQdXrRK35UdEaHSzjBkd0w8o6enA0KHA3bviFvvVqzW+C3t74P33gbg4fnCQmTfTb5Q9fBiwswPS0sRzOloydSpw8CBQVaW1XTBm8Ew/oHz7LTBqlFaDCSCaZP7zH63ugjGDZ9qXPGVlwOnT4pZWHfn9dyA0FLh8WWe7ZMxgmHZA+f570VWsw4Ail4uTosWLdbZLxgyGaQeUb78FOncG+vTR2S7t7EQDbXy8uIeOMXNi+gFl9GjAQrfVDAkRu124UJwgMWYuTDeglJQAZ8/q9HJHQSIR985dvw6cOqXz3TOmN6bby5OaKoZy1ENAAcS9cwUF4tnDr78WcyYrWFuLbmYbG70UjTGtMd2A8vXXYvSjFk4orkmKB5n37AH273+wvKICuHULePNN/ZSLMW0xzUuevDzg449F/62Gntlpi08/FT3Yild2NvD3v4s0Hj2fmRLTDCjh4YCTE7Bihb5LUi9vb3Gf3cGDgJ+fCDKMmQLTCyiHDolR2LZsMfhGCm9vIDMT+Mc/9F0SxjTDtAJKWRmwaJEYT6CRCbsMRa9eYp7kjRvFwPuMGTvTCiibNomulQ8+MIi2k+ZYvlwMbbtwoRj1jTFj1qqAEhkZCQ8PD8jlcvj5+SE1NVXT5Wq53FxgwwYxN7G3t75L02w2NuKelT//BCor9V0axtqmxQFl3759CA8Px4oVK5Ceno4RI0YgKCgIV/Q9XFl4ONCli8E2xDZmwgRx24xcLnqACgr0XSLGWqfFAWXz5s149dVXERYWht69e2Pr1q1wd3fHjh07tFG+plVWijOTgweNoiG2ITKZ+DlvHvDYY2IOMsaMTYtubKusrERaWhqWLl2qsjwwMBCnT5+ud52KigpUPPRAS3Fxsfjl449bPR+OUlkZsGOHGCd28WLg+efbtj0DsG+fqMbIkaJ9pU8f0b5MBERGquefPl0MP5mUBFy4oJr22GPA4MFiKIVDh1TTHBzEugAQHS1mFXnY5MmAiwtw8iTwyy+qaX37ivLdvKl6wx4gZgL461/F7//5D3D7tmr6uHGAh4cY7+rMGdU0T09g7Fjx1MSnn6rXde5cMbNAfLx4rOFho0eLu5OzsoATJ1TT3NyA554T08bWNzHbjBmAra14mLNu4/iQIaJrPzcXOHpUNa1DB+Dll8XvH3+sPrjWlCni2dTkZNGb97ABA4Bhw8QUUQcOqKZZWwOzZ4vfd+8GFIeMwoQJwCOPiCdLfvxRNa1XL9EnceeOuKGyrvnzxc8vvgD+9z/VtKefFq0F586JaXYf5uSkvq16UQtcu3aNANCpU6dUlq9bt4569epV7zqrVq0iAGqvIpmMyNKy7a/x44kyM1tSjSZVV1dTQkICJSQkUHV1tUa33Rzl5URhYURWVkRPPCGW1dbWX/2LF0X6jBnqaWvXirRjx9TTevd+sD9XV/X0M2dE2t//rp722msiLS1NPc3J6cF2+/VTTz90SKRt3Kie9tJLIu3KlfrrWlEh0p96Sj0tJkakRUerpz3zjEgrK6t/uwUFIn3qVPW0TZtEWkKCelr//g/q2rGjenp6ukhbuFA97Y03RNrp0+ppbm4Ptuvjo56emCjSVq9WT5s5U6T99lv9dVUYPlw9bc8ekRYZqZ42ZkyROG6Liur5i31AQtT8ezWvX78ONzc3nD59GgEBAcrl69atw+7du3H+/Hm1deo7Q3F3d0dRURHs7e2bu2udqqmpwZEjRwAA48aNg5Qn3GFmrri4GA4ODk0ety265HFycoJUKsWNGzdUlt+8eRPOzs71rmNlZQUrKyvle0X8Kq57HmdAampqUFpaCkCUkwMKM3eK47Wp848WBRRLS0v4+fkhKSkJkyZNUi5PSkpCcHBws7ZRUlICAHBv46x9jDHdKykpgYODQ4PpLX7aOCIiAqGhofD390dAQAA+/vhjXLlyBXPnzm3W+q6urigoKICdnR0kRnDzmeISraCgwGAv0TSB62laNF1PIkJJSQlcXV0bzdfigBISEoI//vgDa9asQWFhIfr27YsjR46ge/fuzVrfwsIC3bp1a+lu9c7e3t6k/wAVuJ6mRZP1bOzMRKFV46HMmzcP8+bNa82qjDETZlrP8jDG9IoDShOsrKywatUqlZ4qU8T1NC36qmeL7kNhjLHG8BkKY0xjOKAwxjSGAwpjTGM4oDDGNMbsAkpLR5vbvn07evfuDWtra3h7e+PTOs/Vjxo1ChKJRO01fvx4bVajSZquJwBs3boV3t7esLa2hru7OxYvXozyuuMe6Jim61lVVYU1a9bA09MTcrkc/fv3xzE9T1KdkpKCCRMmwNXVFRKJBF9++WWT6yQnJ8PPzw9yuRw9e/bERx99pJYnLi4Ovr6+sLKygq+vL+Lj49te2EafRTYxsbGxJJPJKCoqirKysmjRokVkY2NDly9frjd/ZGQk2dnZUWxsLF26dIn27t1Ltra2lJCQoMzzxx9/UGFhofKVmZlJUqmUdu3apaNaqdNGPT/77DOysrKiPXv2UF5eHn399dfUtWtXCg8P11W11GijnkuWLCFXV1c6fPgwXbp0iSIjI0kul9PPP/+sq2qpOXLkCK1YsYLi4uIIAMXHxzeaPzc3l9q3b0+LFi2irKwsioqKIplMRl988YUyz+nTp0kqldL69espOzub1q9fT+3ataMzinErWsmsAsrgwYNp7ty5Kst8fHxo6dKl9eYPCAig119/XWXZokWLaNiwYQ3uY8uWLWRnZ0d3795te4FbSRv1nD9/Pj355JMqeSIiImj48OEaKnXLaaOeXbt2pQ8//FAlT3BwME2bNk1DpW6b5gSUJUuWkI+Pj8qyOXPm0JAhQ5Tvp0yZQmPHjlXJM2bMGJo6dWqbymc2lzyK0eYCAwNVljc12pxcLldZZm1tjbNnz6Kq7vBc90VHR2Pq1Kmw0dNQlNqq5/Dhw5GWloazZ88CAHJzc3HkyBG9Xdppq54N5Tl58qQGS69d33//vdrnMmbMGPz000/KejaUp6HPrrnMJqDcunULNTU1auO2ODs7q43vojBmzBjs3LkTaWlpICL89NNPiImJQVVVFW7duqWW/+zZs8jMzERYWJhW6tAc2qrn1KlTsXbtWgwfPhwymQyenp4YPXq02nCguqKteo4ZMwabN2/Gb7/9htraWiQlJeGrr75CYWGh1uukKTdu3Kj3c6murlbWs6E8DX12zWU2AUWh7pAJRNTgMAorV65EUFAQhgwZAplMhuDgYMycORMA6h10KTo6Gn379sXgwYM1Xu6W0nQ9v/vuO6xbtw6RkZH4+eefceDAARw6dAhr167Vaj2aoul6btu2DV5eXvDx8YGlpSUWLFiAWbNmGd0gW/V9LnWXt+Szay6zCSitGW3O2toaMTExKC0tRX5+Pq5cuYIePXrAzs4OTnVG7S0tLUVsbKxez04A7dVz5cqVCA0NRVhYGP7yl79g0qRJWL9+PTZs2IBaPcxQpq16du7cGV9++SXu3buHy5cv4/z587C1tYWHh4fW66QpLi4u9X4u7dq1Q6dOnRrN09Bn11xmE1AeHm3uYUlJSRg6dGij68pkMnTr1g1SqRSxsbF49tlnYWGh+tF9/vnnqKiowHTFUPJ6oq16lpaWqtVZKpWCRMO+ZivRDNr+PuVyOdzc3FBdXY24uLhmj0hoCAICAtQ+l8TERPj7+0N2f76WhvI09dk1qU1NukZG0c0YHR1NWVlZFB4eTjY2NpSfn09EREuXLqXQ0FBl/pycHNq9ezdduHCBfvjhBwoJCaGOHTtSXl6e2raHDx9OISEhuqpKo7RRz1WrVpGdnR3t3buXcnNzKTExkTw9PWnKlCm6rp6SNup55swZiouLo0uXLlFKSgo9+eST5OHhQbdv39Zx7R4oKSmh9PR0Sk9PJwC0efNmSk9PV3aP162nott48eLFlJWVRdHR0WrdxqdOnSKpVEobN26k7Oxs2rhxI3cbt8b27dupe/fuZGlpSYMGDaLk5GRl2owZM2jkyJHK91lZWTRgwACytrYme3t7Cg4OpvPnz6ttMycnhwBQomJ+AwOg6XpWVVXRO++8Q56eniSXy8nd3Z3mzZun1wONSPP1/O6776h3795kZWVFnTp1otDQULp27ZquqlOvEydO1DsVzYwZM4hIvZ5Eoh4DBw4kS0tL6tGjB+3YsUNtu/v37ydvb2+SyWTk4+NDcXFxbS4rD1/AGNMYs2lDYYxpHwcUxpjGcEBhjGkMBxTGmMZwQGGMaQwHFMaYxnBAYYxpDAcUxpjGcEBhjGkMBxTGmMZwQGGMaQwHFMaYxvw/QgCwd6UAn/4AAAAASUVORK5CYII=",
"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"
},
{
"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, plot_cdf=True, fig_out=f'{mod}_p{pitch}', do_lines=True)\n",
" plot_vector_covar(group_a, group_b, vector_method='min', distance_method='max', plot_cdf=True, fig_out=f'{mod}_p{pitch}_minmax', 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": "markdown",
"id": "2f2d23db-3878-4854-bc2e-1f73288c6cb7",
"metadata": {},
"source": [
"### Preliminary experiments"
]
},
{
"cell_type": "code",
"execution_count": 118,
"id": "3dc56847-7f42-4ca7-b001-f87333ff088a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{5}\n",
"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": 118,
"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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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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bYGAgW7hwodI8f39/tnr1arU+P27cOLZ8+fIul2tpaWG2trbsiy++0HjdhYWMxcUx9q9/qX6n0tjGJ0/yQZ8fP1Yrdn2j7nFLNRQj9uTJE6SmpmLJkiXo27evSrmDg0O3vre5uRkHDhwAAJiZmcnnX716FTY2Np1OW7duBQA0NTUhOzsbISEhSt8dEhKC6wJ3MltXV4fm5mY4OTlpvG4PD/5YzpUrXawkN5f3IftsHWIlzieUiFry8vLAGIO/v3+Xy/7xj3/ER4rdngE4d+4cxo8fL38fFBQEExMT1NfXo7W1FT4+PpgxY4a8fNSoUcjJyel0PbKD+tGjR5BKpXB1dVUqd3V1RXl5eZfxamL16tXw8PDAhGeDMGuy7j59+IPDf/kL8Pvfd7KS3FxR338iQwnFiLFnN1FI1Oj78IMPPsC8efOU5nnIeil6JiUlBf7+/rh37x5WrFiBvXv3yhMEAFhZWcFPw46Fno+NMaZWvOqKj4/HiRMncOXKFVhaWnZr3T4+QGYmb0fpsI/a3FwgOFigqPUXnfIYsUGDBkEikeD27dtdLuvs7Aw/Pz+lycrKSmkZT09PDBo0CFOmTMHBgwcRGRmJiooKebkmpzzOzs4wNTVVqRFUVFSo1By6a+fOndi6dSsuXryIYcOGKW2rJuseMQJIS+ukT9rmZt56K/YGWVBCMWpOTk6YOHEi9uzZg9raWpXypxrfW95m3LhxGDp0KLZs2SKfJzvl6WxauHAhAMDc3BwBAQFIS0tT+t60tDQEBQV1Oy6ZHTt2YPPmzUhNTcWo5zqp1XTd9va8+8gOh1G9exdoaeGd14ocnfIYuYSEBAQFBSEwMBCbNm3CsGHD0NLSgrS0NCQmJsprL9XV1Sr/sa2trWHXyW3kK1euREREBFatWgUPDw+NT3liY2Mxd+5cjBo1CmPGjMH+/ftRVFQkTzoAsGbNGpSUlODw4cPyebJ2mpqaGjx8+BA5OTkwNzfHS89qCPHx8Vi3bh2OHz8OHx8f+XbJaknqrlvR4cM8byjkTznJrVv8hUItSLS0cMVJCV021j+lpaVsyZIlzNvbm5mbmzMPDw82depUlp6ezhjjl40BqEzvv/8+Y6z9y8aMMdba2soGDx7MFi1a1O3Y9uzZI49r5MiRLCMjQ6k8KiqKjRs3Tmlee7F6e3vLyzvanri4OI3WrWjTJsYcHBhraeHvFS8bS//wB8Y8Pbv9O9AH6h63Esa0Oyx1VVUV7O3tUVlZ2el/N0IMyY0bfCiOS5f4AGJSqRTnz58HALy5Zw8kZmaAAHcO64q6xy21oRAigFdf5VeF9+9vp/DWLeM43QElFEIEIZEAv/0tcOoUH+hdxryqCpLSUqNJKNQoS4hAoqJ4LcXZua2fFNvCQv7CSBIK1VAIEYijI+98SfHysV1hIZiFhah7uldECYUQAT19ygcLe9bzA+wKCvj9JyIdh+d5lFAIEZC9PVBWBuzfzw8tu/v3wYzkdAeghEKIoGSNs998Azx93Ae2RUV8lDAjQQmFEIHNmcPPcDJPO8K0qQmMEgohpLucnIB33mHIuP5skGQjSijG0VJEiJZt3dKKpv9EosbcA1b9+uk6HK2hGgohvcA96zQG/ucacuZE6zoUraKEQojQamthEhuLv/zfbzHp87XIy9N1QNpDCYUQoW3ZAlRUwHJZIMzNW7Ftm3A9zOm7biUUTcdKIcRofP01sH072Jo1kHq7IDw8D0ePSoymlqJxQunOWCmEGIWMDGD2bGDmTLAPPwQATJx4Hy4uwMcf6zg2LdE4oXzyySeIjo5GTEwMhgwZgk8//RSenp5ITEzsjfgI0V+PHgErVwLjx/MpLAx44w3g0CH5Az0WFq1YtYrh8WM1BgMTAY0uG8vGK1m9erXS/M7GSmlsbERjY6P8fVVVFX+xfz8fwp4QQ1ReDuzezR8rnjKFd3c/YgSweTNgbq6UPZYuZZCNiHrwIFBXp9w7/sSJgJ8fkJMDfPut8mp8ffkYynV1QHKyahjvvcdXd+YMUFysXPbGG/wWmLt3ecdPitzcgPBwHn5Cgur3zpnDHyNIS+P9a6s7RJNGCaU7Y6Vs27YNGzduVC348MNOugknRM+ZmQHz5wPr1wNd3Gci+zNnjDexpKcrlx8/zhNKRgawapVy2Ztv8oRSUwPExqp+99y5PKHs26eaNP70J55Qbt5U/ezo0TyhAO1/76RJPKEcOwacOAGo2y+4Rl1AlpaWwsPDA9evX8eYMWPk87ds2YIjR47gzp07Kp9pr4bi6elJXUASUVPsAnLy5Mkw7XDAHsOgbheQGtVQujNWioWFBSwsLOTvZflLfupDiAhJpVLU1dUB4H/rYkgoQNvx2xGNEorieCVvvfWWfH5aWhqmTZum1ndUV1cD4INCEUIMS3V1Nezt7Tss1/hZHk3HK3meu7s7iouLYWtrK+iQkrogO30rLi4W3embmLcNoO3TFGMM1dXVcHd373Q5jRNKZGQkHj9+jE2bNqGsrAxDhw7F+fPn4e3trdbnTUxMMGDAAE1Xq9fs7OxE+UcJiHvbANo+TXRWM5Hp1tPGixcvxuLFi7vzUUKIiNGzPIQQwVBC6QELCwvExcUpXcUSCzFvG0Db11u0PhQpIUS8qIZCCBEMJRRCiGAooRBCBEMJhRAiGEooAigsLER0dDR8fX1hZWWFgQMHIi4uDk1NTboOTTBbtmxBUFAQrK2t4aDus+x6TKy9DmZmZiIsLAzu7u6QSCQ4ffq0VtdPCUUAd+7cQWtrK/bt24f//ve/2LVrF/bu3YsPn/XaJQZNTU2IiIjAokWLdB1Kj4m518Ha2loMHz4cn3/+uW4CYKRXxMfHM19fX12HIbjk5GRmb2+v6zB6JDAwkC1cuFBpnr+/P1u9erWOIuodANipU6e0uk6qofSSyspKODk56ToM8hxZr4MhISFK8zvrdZCojxJKL8jPz8fu3bvVfgKbaE93eh0k6qOE0okNGzZAIpF0Ot28eVPpM6WlpZg0aRIiIiIQExOjo8jV053tE4vnu85gjBl8dxr6gMY27sTSpUsxc+bMTpfx8fGRvy4tLUVwcLC8nxh9p+n2iUF3eh0k6qOE0glnZ2c4OzurtWxJSQmCg4MREBCA5ORkmJjof+VPk+0TCyF6HSQdo4QigNLSUowfPx5eXl7YuXMnHj58KC9zc3PTYWTCKSoqwpMnT1BUVASpVIqcnBwAgJ+fH2xsbHQbnIZ62uugPqupqUGewjCFBQUFyMnJgZOTE7y8vHo/AK1eUxKp5ORkBqDdSSyioqLa3b709HRdh9Yte/bsYd7e3szc3JyNHDmSZWRk6DokQaSnp7e7n6KiorSyfuq+gBAiGP0/0SeEGAxKKIQQwVBCIYQIhhIKIUQwlFAIIYKhhEIIEQwlFEKIYCihEEIEQwmFECIYSiiEEMFQQiGECIYSCiFEMP8Pm4iLJMGg9swAAAAASUVORK5CYII=",
"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(set(e['info']['serial'] for e in group_a))\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": "code",
"execution_count": 119,
"id": "5cb2fee1-9e4c-42d9-8871-71e94fed8c07",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.982756\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.993±0.00338 min: 0.981 max: 0.998\n",
"Cross class: 0.962±0.0871 min: 0.691 max: 0.996\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.403632674999\n",
"EER: 0.3223134217006999 th: 0.9923087757179392\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 119,
"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 = [value for value in data_runs[f'copy-interleave-25-07-11-01-p0.3'] if value['info']['serial'] in [1, 2, 5]]\n",
"group_a = sorted(group_a, key=lambda trace: trace['info']['serial'], reverse=True)\n",
"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",
"plot_vector_covar(group_a, group_b, plot_cdf=True, do_lines=True, smooth=1e-8)"
]
},
{
"cell_type": "code",
"execution_count": 120,
"id": "73b78819-5a43-471a-ba9a-a80e074768ec",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.050430\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.467±0.135 min: -0.0179 max: 0.651\n",
"Cross class: 0.34±0.291 min: -0.454 max: 0.656\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.840804073508\n",
"EER: 0.4274782608695652 th: 0.48578685197009863\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 120,
"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 = [value for value in data_runs[f'patch-interleave-25-07-11-02-p0.3'] if not value['info']['mods']]\n",
"# specimen 64 has a short somewhere that we weren't able to find.\n",
"group_b = [value for value in data_runs[f'patch-interleave-25-07-11-02-p0.3'] if 'loop_patch' in value['info']['mods'] and value['info']['serial'] != 64]\n",
"\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, do_lines=True, smooth=1e-10, vector_method='min', distance_method='max', fig_out='patch_0.3mm_large_sample_minmax', triangle_delta=False)"
]
},
{
"cell_type": "code",
"execution_count": 121,
"id": "ff523649-f8af-47c0-a2ce-a0433686456f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.985280\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.99±0.00143 min: 0.986 max: 0.993\n",
"Cross class: 0.988±0.0014 min: 0.984 max: 0.99\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.947287927127\n",
"EER: 0.2421818181818182 th: 0.9885775337419679\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.985170\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.99±0.00151 min: 0.985 max: 0.993\n",
"Cross class: 0.985±0.00207 min: 0.979 max: 0.988\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.497008336612\n",
"EER: 0.060802469135802464 th: 0.9877988633902236\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.990168\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.992±0.000474 min: 0.991 max: 0.993\n",
"Cross class: 0.99±0.000725 min: 0.988 max: 0.991\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.212168000058\n",
"EER: 0.0463768115942029 th: 0.9908329311778704\n"
]
},
{
"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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",
"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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",
"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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",
"text/plain": [
"<Figure size 300x200 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a1 = [value for value in data_runs[f'apply-patch-interleave-reference-25-07-11-03-p0.3'] if value['info']['serial'] != 74]\n",
"group_b1 = [value for value in data_runs[f'apply-patch-interleave-reference-25-07-11-03-p0.3'] if value['info']['serial'] == 74]\n",
"group_a1 = sorted(group_a1, key=lambda trace: trace['info']['serial'])\n",
"\n",
"smooth = 1e-10\n",
"batchlabels = ([5, 15, 25, 35], ['Reference A', 'Reference B', 'Control', 'Experiment'])\n",
"corr_before = plot_vector_covar(group_a1, group_b1, plot_cdf=True, do_lines=False, smooth=smooth, triangle_delta=False, return_matrix=True, batchlabels=batchlabels, figsize=(3, 3), fig_out='patch_interleave_baseline', label_placement='x')\n",
"\n",
"group_a2 = [value for value in data_runs[f'apply-patch-interleave-modified-25-07-11-03-p0.3'] if value['info']['serial'] != 74]\n",
"group_b2 = [value for value in data_runs[f'apply-patch-interleave-modified-25-07-11-03-p0.3'] if value['info']['serial'] == 74]\n",
"group_a2 = sorted(group_a2, key=lambda trace: trace['info']['serial'])\n",
"\n",
"corr_after = plot_vector_covar(group_a2, group_b2, plot_cdf=True, do_lines=False, smooth=smooth, triangle_delta=False, return_matrix=True, batchlabels=batchlabels, figsize=(3, 3), label_placement='x')\n",
"\n",
"plot_vector_covar(group_b1, group_b2, plot_cdf=True, do_lines=True, smooth=smooth, triangle_delta=False, figsize=(3, 3), fig_out='patch_interleave_classifier')\n",
"\n",
"fig, ax = plt.subplots(figsize=(3, 2))\n",
"alike = lambda corr, a, b, batch_size=10: corr[a*batch_size:(a+1)*batch_size, b*batch_size:(b+1)*batch_size].mean()\n",
"for cand, label in {2: 'Control', 3: 'Experiment'}.items():\n",
" x1, y1 = alike(corr_before, cand, 0), alike(corr_before, cand, 1)\n",
" x2, y2 = alike(corr_after, cand, 0), alike(corr_after, cand, 1)\n",
" ax.plot([x1, x2], [y1, y2], 'o-', label=label)\n",
"ax.grid()\n",
"ax.set_xlabel('Similarity to Reference A')\n",
"ax.set_ylabel('Similarity to Reference B')\n",
"ax.legend()\n",
"\n",
"colors = plt.get_cmap('tab20').colors\n",
"cit = iter(colors)\n",
"fig, ax = plt.subplots(figsize=(4, 3))\n",
"alike = lambda corr, a, b, batch_size=10: corr[a*batch_size:(a+1)*batch_size, b*batch_size:(b+1)*batch_size]\n",
"for cand, (label, marker) in {2: ('Control', 'o'), 3: ('Experiment', 's')}.items():\n",
" x1, y1 = alike(corr_before, cand, 0), alike(corr_before, cand, 1)\n",
" x2, y2 = alike(corr_after, cand, 0), alike(corr_after, cand, 1)\n",
" ax.scatter(x1.flatten(), y1.flatten(), label=f'{label} before', alpha=1, marker=marker, s=5, color=next(cit))\n",
" ax.scatter(x2.flatten(), y2.flatten(), label=f'{label} after', alpha=1, marker=marker, s=5, color=next(cit))\n",
"ax.grid()\n",
"ax.set_xlabel('Similarity to Reference A')\n",
"ax.set_ylabel('Similarity to Reference B')\n",
"ax.legend()\n",
"fig.tight_layout()\n",
"fig.savefig('../paper/fig_patch_interleave_scatter.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 122,
"id": "536e703b-4106-447c-a3ae-7483da51ab48",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.988544\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.994±0.00162 min: 0.989 max: 0.996\n",
"Cross class: 0.991±0.00145 min: 0.987 max: 0.994\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.959533969920\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 122,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 300x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"batchlabels_before_after = (list(range(5, 45, 10)), ['Control (before)', 'Control (after)', 'Experiment (before)', 'Experiment (after)'])\n",
"fetch = lambda run, serial: [value for value in data_runs[f'apply-patch-interleave-{run}-25-07-11-03-p0.3'] if value['info']['serial'] == serial]\n",
"group_a3 = fetch('reference', 73) + fetch('modified', 73) + fetch('reference', 74)\n",
"group_b3 = fetch('modified', 74)\n",
"plot_vector_covar(group_a3, group_b3, do_lines=False, smooth=1e-9, triangle_delta=False, batchlabels=batchlabels_before_after, figsize=(3, 3), fig_out='patch_ref_exp_interleave_direct', label_placement='x')"
]
},
{
"cell_type": "markdown",
"id": "22d21172-9d15-4e10-93d5-e9fbc35a7dcf",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Can we distinguish a board that has a trace shorted to itself?\n",
"\n",
"This experiment was run like the interleaved patch experiment just above. Only here, we shorted a trace to itself. We did that by soldering a bridge in one of the little loops where a trace goes in a hairpin shape. We bridged less than 5 mm of trace in total.\n",
"\n",
"Serial 72 is the specimen that was modified.\n",
"\n",
"The reference run has to extraneous samples at the end that we cut off."
]
},
{
"cell_type": "code",
"execution_count": 123,
"id": "054aa276-8e1a-4e65-80b6-ebad29ff88e1",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.983440\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.988±0.00157 min: 0.984 max: 0.992\n",
"Cross class: 0.988±0.000948 min: 0.986 max: 0.99\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999999745778\n",
"EER: 0.5117283950617284 th: 0.9881507392379334\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.985367\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.99±0.00145 min: 0.987 max: 0.993\n",
"Cross class: 0.989±0.000823 min: 0.987 max: 0.992\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999999699864\n",
"EER: 0.4984175599795815 th: 0.9894706442474371\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.989187\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.99±0.000423 min: 0.99 max: 0.991\n",
"Cross class: 0.991±0.000592 min: 0.989 max: 0.992\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999517388165\n",
"EER: 0.7310344827586207 th: 0.9907599830714379\n"
]
},
{
"data": {
"image/png": 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Xac+ePdZthw8fplGjRlHfvn0VwY5r1qxx+Qje6iKdDJV153vttdfogw8+IKIyHePFF1+kli1b0oIFC4iI6OLFizRr1ixq1KiR0/N5KuLKthOVCaY7duygN954w7otKSmJoqKiqEePHrR792769ddfac6cORQUFFTnKvJt2LCBtFottWvXjs6fP69YPh0+fJhGjx5N/fv3p08//VTxvIbkaBq8kzl16hT179+fWrVqRf/3f/9n3X758mV66aWXqFmzZhQYGEidO3emO+64QxEx62xc1fZyDSIrK4saNWpEKpWKpkyZohhz8eJFio2NpebNm1NERAS1a9euTra+3b9/Pw0fPpw8PT3pt99+I6Iyvaicw4cP07333kuTJ092lolORzqZU6fowQcfJC8vL+svfzl5eXl09epV+vTTT+ngwYN1rraqq9he7lQq3sk6d+4cWSwW2r59O7Vt25b69OlDRqNRMZ6orOHdmTNnuDgTZ1CZQHvs2DHq2bMnNWvWzHqbvfy9EJXd0q7v4q4tGpyTEd0qPH/+PP3jH/+gdu3a0ccff2zdXtcuDFe2/erVq/T444/TqVOnaMuWLaRSqSgxMZFKS0tp586dFBQURA899JB1fMUvaV2g4vn8z3/+Q++++y4tXbrUuvw8deoU3XPPPdSqVSuro6k4o2GP0ZBoUE6m/Et68OBBio+Pp5dffplOnjxJRGW1bh999FGKjY2lTz75xPqcunJhuLLtRGW3zDt37kyxsbGk0+m4urU7d+6kwMBAGjNmjGJ7XePll1+m0NBQGjduHMXExFCnTp2s9XgPHTpEAwYMoNatW9OVK1ecbGndoUE4mYoi25YtWyg4OJiGDBlCgwcPJk9PT1q4cCERlU1rH330Uerbty/Fx8c7y1wFrmw7y7///W9SqVQUExNDR48eVewrdzShoaE0ePBgJ1lom02bNlF4eLi1HvL69evJ3d2d/vOf/1jHHDt2jDp27Ehjx451lpl1jnrtZD788EO6fv269e/Tp09TeHi49dfeZDKRSqWyflGJiBITE+mBBx6gQYMGOfVWryvbzlIeubt69Wp6/fXXqXfv3vTggw9yCYUWi4X++9//UlRUFBewVhd46623rM5j06ZN5Ovra3Xo+fn51layiYmJdWoW6WzqrZOZPXs2BQYGKlp77t+/n+655x4iKouGDQ8PV0TDlq+lExMTnSqUurLtFSlf7uTl5Sm2b9u2jXr27EkPPvgg7d+/37r90KFDRER1LtWhfDY5ffp0eumll+jgwYOk1+tp5cqVRFT2PtetW0dLlixR6DAN6Ta1Leqlk0lJSaFWrVpZ1/3nz58ng8FAX3zxBbVp04ZSU1MpMjKSJk6caP3F2bFjB02YMMHpuTCubLuI//73v9S/f38aNmwYvfbaa1ZBd9u2bRQbG0ujRo2ijRs30oIFC0ilUilmb86islnI999/TyqVilQqlSLAzmAw0MCBA+mFF174iyx0LeplPLOHhweaNGmCP/74A/Hx8Rg5ciSuXbuGv//97/D390dkZCT69++P1atXW8PC9+zZgytXrjg9xNuVbWc5dOgQRo4ciZiYGGi1Wmzbtg0jRoyA0WjEkCFDMG/ePBQUFGDBggVYv349EhIS0LhxY6faXLEjwPbt27F+/Xrs2bMHN27cwLBhwzBjxgx4eHjAYDDg8uXLOHnyJB588EFkZmbi3//+t1Ntr7M428vVFitXrqQWLVqQSqWif//730REVFRUREuWLKH27dvTE088QTk5OXTixAl69dVXyd/fn37//XcnW12GK9tezunTp2ndunVW+4uLi2nz5s1055130qBBg6wpA5cuXaLz589z2cnOoOLdrOnTp1NgYCA1a9aMWrduTW3atKGkpCQqKSmh2bNnk6enJzVt2pQ6d+5MAwYMsM7Q5BKJp945mfILZceOHaRSqSg8PJwWL15sFRJzc3NpyZIl1LlzZ9JqtdShQwfq3Lmz0yvzE7m27RW5evUqxcTEUEBAAL333nvW7cXFxfTVV19R165daejQoXWmUBaR0sH89NNP1K1bNzp06BBlZ2fTgQMHaNiwYRQYGGhNa0hMTKSff/6ZTp06ZV1e1beKdo6i3jZ3S0pKwtmzZ/Hbb7/hiy++wLhx4/DUU08hLCwMRqMRRqMRBw8eRGRkJAICAhAcHOxsk624su0AkJeXh9WrV+PDDz9Eq1atFF0ojUYj/vvf/+Kll15CTEwMvvrqKydayrNp0yZ89913ICJ88cUX1u1Xr17F008/DY1Gg82bN0Ov1yue57KN1/4KnOzkHEb5L1FOTg5lZmYqfiVnzJhBbdu2pYULFyruvNSVYC9Xtp1IbEteXh6tWLGC7rjjDnrqqacU+0pKSmjr1q11oqZwxaJRpaWlNGbMGPL19aUOHTpY31f5vytXrqRWrVrViRQHV6JeOJnyi2Dr1q00cOBAioqKooceeogWLVpkHTNnzhxq27YtvfHGG3XmFi+Ra9tOdNv+AwcO0OLFi2nGjBnWQuXFxcW0fPly6tixI+do6hrlnSpLSkpo2rRpFBoaSvPnz1fU3927dy+1aNGCzp8/7ywzXZJ64WSIym6V6nQ6evvtt2nXrl00ffp0UqlUisr8c+fOpZCQEFqyZEmdEuhc2Xai2zV5+/btS927d7f2Frp+/ToVFRXRBx98QDExMYqUgbrEjz/+SAEBAVbxuaSkhJ555hmKiYmhKVOm0OXLl+n06dM0cOBA6tOnjwy0qyb1wskUFRXRuHHj6M033yQiohs3blCzZs3o+eefJyLldP71119XBLk5G1eyXbQsSkpKooiICFqzZo11/5dffkmBgYH08ssvE1FZyc/FixdTnz59uGLazoB9H3v27KGAgABFjE5xcTE9++yz5O3tTcHBwTRixAgaN24cFRUVEVHdygur67iUk6nsgzUajRQTE0PffPMNXbt2jcLCwmjixInW/Zs3b+ZC2P9qXNl2otv2Z2Zm0pEjR6y1XX7//XeKioqikydPKr68GzZsILVabV2G5Ofn082bN/96w+3AbDZT+/btFcs8orIZzfPPP0/t27enN954w9pCti7dFXMFXEYOL1fvMzMzceTIEezbt8+6r6ioCM2bN8eRI0fQq1cvDB061FrXNisrCz/88AMuXrwIs9ksbf8TlNufmJiIkSNHYu7cuVi0aBHMZjNKSkqQmpqK4uJiqFQqlJSUAAAeeeQRtGvXDocPHwYA6PV6BAQEOO09AGU1jnfv3g0AWLBgAZ566inMnDkTn3/+OW7cuIFLly4BALRaLYCywMilS5eiR48e+O6777BmzRoUFBRY90vsxNlezh7Kf0VPnTpFXbp0oaioKAoMDKRBgwZZfz0//PBDUqlU1Lt3byosLLQ+d9asWdSyZUun3clwZduJbi8tTp8+Tf7+/jRr1iy6evWqYmb20EMPUbt27RSlMUtKSigmJoZWr179l9ssIj4+njw8PGjfvn1kNBpp0aJFNGHCBOrSpQsNGjTImi4watQoevDBB2n16tW0YsUKIrq9dLrjjjto+fLlTn4nrkeddzLlF/PJkyfJ29ubXnnlFTpy5Ii1bEDFBl+vv/46aTQamjhxIj3zzDP02GOPkZ+fn9OC1VzZ9opkZ2dT7969rTpROeXv78CBAzR48GBq06YN7dmzh3766ac6VZP3ww8/JDc3N/r666+F+0tKSmjKlCkUGxtLs2bNojFjxlC/fv2oe/fu1oTH4uJieuGFF+rEbXdXo847GaIycVGn09GcOXOs227cuEGBgYE0fvx4xdi1a9fSI488Qvfeey9Nnz6dEhMT/2pzFbiy7eWcOXOGoqOjad++fZVqS4cPH6Z//OMfpNPpqFWrVtS+ffs6UVN49erV5OHhQd98841i+4cffkjnzp2z/v3GG29Q3759rX+XlpZaZ3FshTtJ9ajzTsZsNtPMmTMpODiY3nnnHev2t956i1QqFd199900b948mj9/Pnfnwtl3AFzZ9ops2LCB3NzcrF+6iraV3043GAx09uxZunHjBl29erVOZITv3buXVCoVV/94+PDh1K1bN4UQffz4cYqKiqJr164p3l9dCnp0VdycrQlVhVqtxnPPPYfCwkJs3LgRWq0W+fn5WLJkCRYtWoTOnTtjx44dOHz4MNasWQNvb2/MmDED//znP50e5u3KtlckMjISbm5u+PrrrzFq1CiFbRqNBgDw8ccf4/vvv8f333+PoKAgZ5mqICwsDL1798axY8dw9OhR3HXXXRg9ejSuXr2KrVu3IiAgAEQElUqFRo0a4erVq0hNTUWTJk2sxyjPdJfUAGd7OXtJT0+n5557jlq3bk1ubm6KRlrlbNmyhV555ZU6l5HsyrYTEaWmplLjxo3p/vvvV9Surfgr/+KLL9Krr75a5375L1y4QIMHD6b77ruPevfuTV27dqXLly8TESlmZl988QXNmzevzgU61gdcxskQEWVkZNCUKVOoU6dO1hICRMq4hbp2kZfjyrYTlTlBrVZL48ePpzNnzli3GwwGmjlzJjVv3rzOhttfuHCB/va3v5Gfn5+12FTFJdHQoUOpb9++1m3S0TgWl8vCzsjIwKJFi3DkyBGMHDkSM2bMAACYzWbr1L2u4sq2WywWrFmzBs899xyio6MRGxsLnU6HtLQ0HDp0CD/88AO6du3qbDMr5eLFi/jXv/4FtVqNV199FX379gUADB06FElJSUhMTIS7u7vMpq4FXM7JALe/rCdOnMCAAQOwYMECZ5tkN65sOwAkJCRg6dKluHjxIry9vdGrVy889dRTaNWqlbNNq5KkpCRMmTIFarUas2bNwrJly3D69GmcPn0a7u7uKC0thZtbnZcpXQ6XdDJA2Zd15syZSE1NxcaNGxEYGOhsk+zGlW0HXLt2SlJSEqZNm4adO3ciKioKv//+u3QwtYzLOhkAuH79OgAgJCTEyZZUH1e2nf53R4b9v6tw7tw5rFy5EsuWLYObm5t0MLWMSzsZiaSmSAdT+0gnI5FIahXXXFhLJBKXQToZiURSq0gnI5FIahXpZCQSSa1S551MSUkJ5s+fb6245kpI252DK9teH6nzd5fy8vLg5+eH3Nxc+Pr6OtucaiFtdw6ubHt9pM7PZCSShs7+/fsxfPhwNG3aFCqVCt9++22Vz/npp58QExMDnU6HqKgofPjhh9yYLVu2oF27dtBqtWjXrh2++eYbbszKlSvRokUL6HQ6xMTE4Oeff662/dLJSCR1HIPBgM6dO2P58uV2jb98+TKGDh2KPn364MSJE5g1axamTJmCLVu2WMf8+uuvGDt2LMaPH4/ffvsN48ePx5gxY6yF34Gylr1Tp07F7NmzceLECfTp0wdDhgxBcnJytez/08sli8WCa9euwcfHp1bDyvPy8hAeHo6UlBSXm/pK251DbdhORMjPz0fTpk1t5m0VFxfDaDTadTz2e6PVaqvshKBSqfDNN99gxIgRlY6ZMWMGvvvuO5w9e9a6bdKkSfjtt9/w66+/AgDGjh2LvLw8RZ/ywYMHIyAgAF9++SUAoHv37rjzzjsRHx9vHdO2bVuMGDECcXFxVb5HK3+2RkRKSgoBkA/5aFCPlJSUSr8TRUVFpG8catdx9Ho9t23evHlVfu8AcPWKWfr06UNTpkxRbPv666/Jzc2NjEYjERGFh4fTsmXLFGOWLVtGERERRFRW11ij0XDF16dMmaKohWwPfzppw8fHBwAw7XgytPrbvxYpw+5TjAvz4RV+C/HH0+uUXl3UZuhWIb/N11NwLE/lsbLyLNyYpoF8/RZ3N+Xz2nfifwWvpxXzr+fjrjyOBz+zu5hk4La1aOnNbSsuUr5xvwB3bozIBgtzUrVa/v2pBD/Abh7KjcYi/sSrNfz78dLzl871dKVd0W303BhzKf/hlxQqX7NUMEZkA/t6fv78udL78nbevMHPNBqH6RR/52YrxxQaS/Houp+t170Io9GIgswMTDuSDK1P5TOokvw8vHN3BDfTclQ/p4yMDC7xNiQkBKWlpcjKykKTJk0qHZORkQGgrOeX2Wy2OcZe7HYyJSUliluC+fn5AACt3he6CifUQ6M8pFbDX7QiJ6NjvuBmwQpM8L2BTvAO2GNpNbyT8XSv2sl4a/mL1sujlNvmrVUa4e7Bf5s93XlD2ecBgMb852zgnIyHfU6GtdVNcOJFX3CR7V7Me9TreNtFTsbNrLShVPB5CR0d83reHqJzzNtQ7MEfX8+MKxWMAeyr+evh6Q0PT/4HpBwqLftO+Pr61tpSlLWT/qeKVNwuGsNus2dMVdgt/MbFxcHPz8/6CA8Pr9YLSSQNBgtV/ahFQkNDudlGZmYm3NzcrLWLKhtTPnMJCgqCRqOxOcZe7HYyM2fORG5urvWRkpJSrReSSBoKZKEqH7VJz549sWvXLsW2nTt34q677oK7u7vNMbGxsQDKWvTGxMRwY3bt2mUdYy92L5cqU75Tht2nWCI1/3GvYv+Nv/fmnuOh4U9yASPdFJcKljOCaXR2Dj8d9s43Kf7ON/F2N/Y3cdvyDMrja9x5H6xS81NFdhnCagUAYBHcxMvJ4rUBdtnTOIwXnQoL+SUoq2OYTPzrkcCGsHAvxd9FgmOrBCsH0ZLQ3V15biyC5127ygtrxcXKgd7e/Gfv5c1fqgaD0lYfgf6Se1Nwjs38ebiVpbwATUblmFKj/Y6BzBZQqXi5Vb6/OhQUFOCPP/6w/n358mWcPHkSjRo1QkREBGbOnIm0tDSsX78eQNmdpOXLl2P69OmYOHEifv31V3z88cfWu0YA8MILL6Bv375YvHgxHnjgAWzduhW7d+/GgQMHrGOmT5+O8ePH46677kLPnj2xevVqJCcnY9KkSdWyX1brkUgcDFksIJGHrbC/Ohw9ehT9+/e3/j19+nQAwOOPP45PP/0U6enpitiVFi1aYNu2bZg2bRpWrFiBpk2b4v3338eoUaOsY2JjY7Fx40bMmTMHc+fORXR0NDZt2oTu3btbx4wdOxbZ2dlYuHAh0tPT0aFDB2zbtg3Nmzevlv3SyUgkDqaqJVF1l0v33HOPcBZazqeffspt69evH44fP27zuKNHj8bo0aNtjpk8eTImT55sl52VIZ2MROJgqLSK5ZKNffWRGjuZMJ8SxW1qVoMJ3nWAfQoaPdanyuMWG3ltIL+I9+bRPry2omXiVLJu8evy5s14rcPMrNWjuvpzY/Ky+WMFNlEeq3EzL27MtSt8nEyzlnwcSeofBYq/Q6P5Max+APC3GkuK+fMn0jVCmitt9fbjx2g9+W3suQKAcEanCbuDjykxm/gvGBsbpNXxmoxvoAe3zSQ4FktoBP9ZFBv4EACfRsrjX7us/LxKq9GdwdEzGVdHzmQkEkdT1W1q6WQkEklNsJSaYSkVhKxX2N+QkE5GInE0BNuzlYY1kZFORiJxNBazBRYbsTC29tVHauxk2OUnG2gnEnlvrucL33g93Is7LkuxiQ+EKywWJNwxgWgGQRXGYoEw6umpFBxvZfBBdSIK85Tic5FAWMzN4QVq7+v88QsLlM9Nu5DPjRHl8bgxgYN+AqE0PZkPhAtmTrQot8hk5L8Uhjz+/bDbgsMFeV5+glwiQVImS6kguJANHBQlkxbk8naKPh+/YMckJwKQmgyDnMlIJA7G0cF4ro50MhKJg5FxMkqkk5FIHIyMk1EinYxE4mCkk1FSYyej16kURaLYbGoRrMgLAIUbf1H8bbqfTyf31vKCZ75A+G2kV44TBA/jRjYv/rm5KbdFZPJvRpSlrPVSCsYkmA37CiJpzQIxk80sFgWaevvyAicbiVwqiIYVZXQX5Svfs7uoop6gRpFeIOCyXx5PgZ2XT+dy24wlSlt1nrwNBYKobW8f5TlljwMAnoIoZx+B7aWMuM1mmbtTdSJ+LTYzraUmI5FIaoQUfpVIJyOROJqqClPJ5ZJEIqkJ8u6Skho7GbNZWfSbrWgnyqYWOXJWg3H/7iA3pug+XsspLrWjsLOgALlWoO9k5ShtFQaOCYL4TAItgCUjndd3moTxNvgxryms7i8IXmPtcrfwGoJZkEEexOg0bu68TcZiQea0IKAt67ryPTZK5YP/RBqJmik2LwrOE1WzY+0yCy4skZ5kyONt92Ayv28JuhXYCxHZrP9ia199RM5kJBIHQ6VUxUxGOhkhbEuUvLy8WjFIInF1pPCrRLZEkUgcDVHVjwaEbIkikTiY8m4FlT5kFraYylqi3CpUdnZk25aISmaKsqnZQDuRyOv5f79w2yxD+XElTOJtkeD1wgXlN331SrFPJ2jFqvfht/kzGbyiwDE/QTCeqPxm9rUi5bEb67gxuYLym2xmtlrQukUvaOPaqKnyPOQI2rl46PjfosbN+c6HbHZzu3sac2Mu/JLFbcti3rPIdlFwoRdz+kQlQfX+fDa6aCIREGq7Ta1biSy/+WeRwq9E4mDk3SUl0slIJA6GSs3WfteV7W9ISCcjkTgYuVxSIp2MROJoqrqDJJdL1cPXE9BVOArbm1rUF0lUMpPNphZF8opEXu9tvBhsfEAZPWwSRL/mCHoksxGjJaKe04LMaTaqVJSpLbqucgTlN/NzleKpfyEfaSr6JWQjaUXr/qICQTnMAKUwymYjA+Jo29wbvPisZbKn8wUCtVEQMc2WDhWVF/USZHTf5MqjCt6zIDLZTdDHm42sZs9fdXQUS6kFFhvBeLb21UfkTEYicTRkEdf7qLi/ASGdjETiYCxmsj2TEcwM6zPSyUgkjkZqMgqkk5FIHIy8u6Sk5uU3PZXlN73zlUKv1oMX8di+SABfMlMEG8kL8CIvAGi2KstEeAziBWOjIIL0Vp5SlDQKSg6UlPDbbjARq6LSCBbBhSWKbGXLbWamFHFjvARRx8UG5ckRlaQQlZ3Mz1aKs3kCsdbLjlKb9pLyh4HbpmFKceQLSjGIIq2zbijFe39BRPNNgbguKtPJliHNqUmpB7MZZLYRJ2NjX31EzmQkEgcjZzJKpJORSByN1GQUSCcjkTgYmVagpMZOJivPAm2FzOt8kzIjOUuQkSzqTc1W6RSVzBRlU4sC7VgNJmAHH7BHz/bjX4DhlkCf0AgCxdgfJlEZyFJBNbTrabzewh7LrxmfRVwsCPYzMJqCpxd/AkWBaWy/7xsCm/wFGoaoP3b+LaUudPnELW6MWXBr12JWnlN7f+jdmVKhomxxUWCkTjDOXavcxn7Oos+9UqpIkJQzGYlEUjOIbHckkE5GIpHUBIvZDIuNO0i29tVHpJORSByNFH4VSCcjkTgYMpPtNrUyraB6NA3UwNP9tsjY2F8p/jUXlLkUBYqxvalFfZFEJTNF2dRsoJ1I5E2O/4nblnKvcpzmKN+3OS2bv3jY60l0DYmW6CJxO5ipapl6jRefC4qqTrDz0wsyjQWz9IBUpfCbJ8jUDvDjA9oKDPzBsnOV2wry+WMlXeGP5caIqlpB76f06/znzGa/p6ZXnVkPAH4+/In3zlQ+t4QRu4tM1QjGk90KFMiZjETiaORySYHsuySROBiZVqBE9l2SSBxMeVqBrUdDQvZdkkgcTXnRKluPBkSN+y65u6ngXiELO8/ANEEXqKCenrzw5uamFNaycvgpJdsXCRALe2w2tQhW5AWA8B+VYrBhDJ+9LYo6DvFV2sBmUgNABq8hw4dvqYRCRufVqPn3F+TPn7/Mm8r37CfK1BZkh+v1ymOJGtTrdPzrqQQDvZjPNTCYv16u3xAJ9cr3KBJmRRHTpcxn7+3Fn3jR+xEdy82N6fvFlIO1VENHKW/uZmt/Q0IKvxKJgyGygGzMVmztq49IJyOROBpLFWkFDUyTkU5GInEw8u6Skho7mfadfOGtvV2RTMO0t4jq6s89h838BYCITKUY4S2oxibqTS1qW8JWtBNmUwsC7VgNpmQzn73d/JHe3LbgQKWt7m68EBAaxE+R1QLBgNVIRNXzwiK9uG1pVwqVrycIXBTpYz5MSxRRkWufRnwmeO4NQTsXJgvbS/B5tYzmbVcx79FP8HqirO+8HOXrBQTxzxP10PYQaExsqxa2LYuhxAT8wD1NSFmbWlvLperPZFauXImlS5ciPT0d7du3x7vvvos+ffpUOn7FihVYvnw5rly5goiICMyePRuPPfaYdb/JZEJcXBzWrVuHtLQ0tG7dGosXL8bgwYOtY+bPn48FCxYojhsSEoKMjIxq2S5nMhKJo3HwcmnTpk2YOnUqVq5ciV69emHVqlUYMmQIEhMTERERwY2Pj4/HzJkzsWbNGtx9991ISEjAxIkTERAQgOHDhwMA5syZg88//xxr1qxBmzZtsGPHDowcORIHDx5E165drcdq3749du/ebf1bw9ZKtQO7b2FLJBL7IHNplQ+gLKC14qNisGtFli1bhqeeegoTJkxA27Zt8e677yI8PBzx8fHC8Z999hmeeeYZjB07FlFRUXj44Yfx1FNPYfHixYoxs2bNwtChQxEVFYVnn30WgwYNwttvv604lpubG0JDQ62P4ODgap8P6WQkEkdTnlZg6wEgPDxcEeAaFxfHHcpoNOLYsWMYOHCgYvvAgQNx8OBBbjxQFp2v0ynjIzw9PZGQkACTyWRzzIEDBxTbkpKS0LRpU7Ro0QIPP/wwLl26VL1zAelkJBKHQ5YqZjKWsplMSkqKIsB15syZ3LGysrJgNpsREhKi2G5LGxk0aBA++ugjHDt2DESEo0ePYu3atTCZTMjKyrKOWbZsGZKSkmCxWLBr1y5s3boV6enp1uN0794d69evx44dO7BmzRpkZGQgNjYW2dnZ1TofNdZkrqcVw8vjdiAdK+LlZfPBVyLYMomiTG1RWwxRb2q2bYmodKIom5oNtBOJvPlfHOC23bxf2ZZFrxO1geE2IdC3ah9fJAigE5F0WVk2UxSE5qHl19MeTNnJdEELlgCBEFsqCDa7xmR0d+4ewI058xsvuLPBcT5Z/DXjH8DfCLjMiN3p13gx2l3QksdbUJrU00t5bbHZ/YXVyMK2V5Px9fWFr69v5eMqwAY/EpEwIBIA5s6di4yMDPTo0QNEhJCQEDzxxBNYsmSJVVN57733MHHiRLRp0wYqlQrR0dF48skn8cknn1iPM2TIEOv/O3bsiJ49eyI6Ohrr1q3D9OnT7bIbkDMZicThlAfj2XrYS1BQEDQaDTdryczM5GY35Xh6emLt2rUoLCzElStXkJycjMjISPj4+CAoKAgAEBwcjG+//RYGgwFXr17FuXPnoNfr0aJFi0pt8fb2RseOHZGUlGS3/YB0MhKJ4zGbAXOpjYf9cTIeHh6IiYnBrl27FNt37dqF2Fi+sWFF3N3d0axZM2g0GmzcuBHDhg2Dmsl50el0CAsLQ2lpKbZs2YIHHnig0uOVlJTg7NmzaNKkid32A/IWtkTicBzd3G369OkYP3487rrrLvTs2ROrV69GcnIyJk2aBKAseTktLQ3r168HAFy4cAEJCQno3r07cnJysGzZMpw+fRrr1q2zHvPw4cNIS0tDly5dkJaWhvnz58NiseCVV16xjnnppZcwfPhwREREIDMzE2+88Qby8vLw+OOPV8t+6WQkEkdTVaZ1NXOXxo4di+zsbCxcuBDp6eno0KEDtm3bhubNmwMA0tPTkZycbB1vNpvx9ttv4/z583B3d0f//v1x8OBBREZGWscUFxdjzpw5uHTpEvR6PYYOHYrPPvsM/v7+1jGpqakYN24csrKyEBwcjB49euDQoUPW17WXmvfC9nGHt/b2YVTMAiywCR95WpjHq6BaRowzCXr9+AuyekXaF9ubWhRgKUqEZbOp2UhegBd5AcD9O+WtxMbP8Bne2bmC/s7e/GqVFUGLBOeBzRgGgPAmSnFWJ8h0F/WY9ilSXgLu7rxNGkE5TI27QDz1VD6XjZoFAE9BtC1b6lL0mYpKeQYyYrAou9rHl7/Evbx5G/KYaGU2k16UWV8p5lJAbUMoNldDRP4fkydPxuTJk4X7Pv30U8Xfbdu2xYkTJ2wer1+/fkhMTLQ5ZuPGjdWysTLkTEYicTQWS9nD1v4GhHQyEomDkaUelEgnI5E4GovZ9h0ki8zCrhbuHiq4e9xesF5PVwZENW7GZ92KejLb49wLBH21Rb2OjUwAm6h6nqhtCbvuFmVTiwLtWA0mZRXfbsXvUT6wr8DAv2kvpk9zaDCvCxUK3vO160wGtDf/0YoqErLnXZSFnXuT19DycvltbHbxtcsG/lgCbcWNCeAsKODfX0gIr8fdYLLrRdpboeBaE71HN0aLMjFBnpUFvglxsPDr6siZjETiaMxmQGVL+JUzGSGyJYpEYidyJqNAtkSRSBxN+d0lW48GhGyJIpE4Gktp1Y8GRI1bolxMMsDT/fZh2NYR164IxL8cXjT09VOakpHOF/Dx8+PNFYl9FkboFQVpiSK72bYlopKZomxqNtBOJPLmfs5nb7ee1p/bVliofM08gQgq6gkexrwfrZb//cjM5M+pr79SWPbQ8c8TCaXegoA2FlEZTX0Gb0MJU1pTIyg5KrKL/ewD/HmRXBS4KLoe2JdkS5WKSpdWioyTUSCFX4nE0UhNRoF0MhKJo7GYbS+JZJyMRCKpEXImo0A6GYnEwagsBJWNcg629tVHauxkWrT0VmRh5zClE5u11HPP8b7Ol0k0MxGWTcJ4wU50rBzBsdheRdfT+JKSHgLdku1NLeqLJCqZyWZTiyJ5RSLv+Xf2cttaTlGOC9TzhmYI+laxAqcoa1lUdpItcyqqdaITPa+o6im/UZBBLhJdGzHZ1KJyqSI8mChdf4HQbBCcB09Bz2y2jCtb6lVtXxXZMqgUsNi4cUvy7pJEIqkJcrmkQDoZicTBqCylULGFlZj9DQnpZCQSRyNnMgqkk5FIHIwKBBVsCL829tVHauxkiovM0JhvC3VstG3qHwXccwoL+OmiwaAUEv38+OjN7Gu8gJsvKGvJlmwQRQUHC9rdFDLBqHqB6CqCFTPZcg0AH8kL8CIvAPzxvlIM7vPWEG5MqCDiN+2qsgdRYGM+OlskZEe0U56Iy7/zfZH8g/hjsaURACDnhvIENg7ny3yI+jqx5Tf9BJG7JiN//thyn5kCQTxYUCJCFL3biDlfF8/lK/6uTt8llcUMlY0sbJWMk5FIJDWiQivaSvc3IKSTkUgcjIosUNnQXWztq49IJyOROBgVmaEiG3eXSC6XqoVfgDu8tbfX0I3DlHpBaDQfQJd2IZ/bxuooZkHQln9jHb+tkF/7ZjLrfr9mfJBW6jU+G1ijVr4mG9QHiHtTs21LRCUzRdnUokA7VoP5+dXt3Jh+S4dy2wICle9RpKMUC0pRsjKNqO2MRpDJ7O3Lv0c2kC+gCf95uQvaq3holZehSDMpNPDnj213Imr5IjoPwvKvzEuyrWHcbTgN/mDy7lJF5ExGInEw8u6SEulkJBIHI5dLSqSTkUgcjJzJKJFORiJxMGoyQ21jJqOWM5nqcT2tGF4et4U0tifQrSxeYBX1SGaFxBJBlm+u4FiirGEvJoO2WNCnqKCIF9+C/JVCbFgkH0wmgs2AFvVFEpXMFGVTs4F2IpH3p5e3cdvO9x+k+NtXnc2NKSX+vLcMuqn4O/km/+XQufHnymjmj1VoVn6GIbtzuDEawXfPx1N5LKOgxGmr5rx4f/K0MtCzaWNejD6wjz8PtwpEn73SMLZrSVFpNYLxYHu2Uo0OTvUCOZORSByMXC4pkX2XJBIHU7Zcqny+0tCWS7LvkkTicMg6mxE90MBmMrLvkkTiYFR2PBoSNe67ZLGQIvOazUgWNSoXZfDmZSvrG7JlIQGxYOwpaCxfbFAqh6ISjCIybypfM+1KITcm6TKfRRzeRClKXrvOK5dsXyRA3BOIzaZmI3kBXuQFgNZ7dyj+Th/QlxtDgsub7SNVYhFkngtOn0hELiRlhG+wL38ebglKk7KB1f56Qe8nQZAsK87evMUbmmewb9agY/pU5eYrD16dvktqlQVqVeVRvbb21Uek8CuROBgp/CqRTkYicTDSySiRTkYicTBqFUGtqtyR2NpXH6mxk9FqNdBW6C9iYlpLlAi0FT+BzlBqUq5T3QUtJURZ0SQoAMTqOZ6Clh5+gnW/HxPEJ6pAJ5CYoPNUHt9LoBOJelOL2pawFe1EWcSiQDtWg2myZz83JuNvfbhtXszhG3vxvT9IoL+4afjz7lmszK7Xafnn+QoiYdmP1c3Oq9LMSBuhwfx1ZTQJ+n8L+nizmosXU3VPZbI/C1sNgtrGbMXWvvqInMlIJA5GzmSUSCcjkTgYNWzHhlSjMk29QDoZicTBqFQElY3Ziq199RHpZCQSB6NRETQ2HImtffWRGjsZlbrsUQ4rxIpE0PRkPsiNLdtpzuYFSL2gVUaRoL2KD9NORVRukQ3kAoBiprSmKADLQ8uLhmzZR09PfkxmJi9AinpTs21LRCUzRYFwbKCdSOQN3f0zt80wIlbxd6GRn8w38ubPw/X8qtvFXMvmT7KXhyADn8vCFpx3D94uNqPbaOKD3FhxGADyBe1pGvkq34+BqQJQXFqNADqV+AZBxf0NCTmTkUgcjFrF3zFj9zckpJORSByMXC4pkU5GInEwqiqWSzaXUvUQ6WQkEgcjl0tKauxk3DzUcK8gyoUx/Y9DmvMlLIMFJTOLmOjXoDA+2rZRU36bdwAf5ZmfrRRZbwnKXAak8tvY3tc+gmN7CCJ3fYqUp1HUVsdXIFqLMs3Z3tSiXz22ZCbAZ1OzkbwAL/ICgOrbg4q/fe7nx/h48u/ZSyvoTc2cG703/57d3fhjBTTix9lDeBPl80IFfZ5E/b9FPc7ZSOu8W8oTWmgsBfbZZ5dGLS4zat3fsFZLciYjkTgauVxS0tCCDyWSWsdNBbipbTz+hJNZuXIlWrRoAZ1Oh5iYGPz8Mx+OUJEVK1agbdu28PT0ROvWrbF+/XrFfpPJhIULFyI6Oho6nQ6dO3fGDz/8UOPXFSGdjETiYMpnMrYe1WHTpk2YOnUqZs+ejRMnTqBPnz4YMmQIkpOThePj4+Mxc+ZMzJ8/H2fOnMGCBQvwr3/9C99//711zJw5c7Bq1Sp88MEHSExMxKRJkzBy5EicOHHiT79upeeDRGnMdpCXlwc/Pz9seqwfvDxur7pYuaVZC16TEfW5dmeC3Dx0vP8TaR0+gozuPKZ1yo00vprduXMF3DY2C7tdV39uTPIf/PPYvskWURCf8P1UHewn6k29+vMsbhtb0U6UTS0KtPPRMdnv3x3kxhQP43WaRnr+m5LNtDhvGcZrH6JqgKxOIwqqCxR8zqlpSl2tWRivySSn8Nqbr0CTYXUatsJjoakUT351ALm5ufD1Vepm5ZR/J2befTd0NlLJi0tLEXfkiM1jVaR79+648847ER8fb93Wtm1bjBgxAnFxcdz42NhY9OrVC0uXLrVumzp1Ko4ePYoDBw4AAJo2bYrZs2fjX//6l3XMiBEjoNfr8fnnn/+p160MOZORSBxMufBr6wGUOaWKj4rdQMoxGo04duwYBg4cqNg+cOBAHDzI/yAAZZ1FdDqlw/X09ERCQgJMJpPNMeVO6M+8bmXY7WRKSkq4kyKRSHjKb2HbegBAeHi4ogOIaHaQlZUFs9mMkJAQxfaQkBBkZGQIX3/QoEH46KOPcOzYMRARjh49irVr18JkMiErK8s6ZtmyZUhKSoLFYsGuXbuwdetWpKen/+nXrQy77y7FxcVhwYIF1Tq4RNIQsffuUkpKimK5JCrUf/s5ygMSkbBIPwDMnTsXGRkZ6NGjB4gIISEheOKJJ7BkyRJoNGXLwvfeew8TJ05EmzZtoFKpEB0djSeffBKffPLJn37dypAtUSQSB6NRq6p8AICvr6/iIXIyQUFB0Gg03OwhMzOTm2WU4+npibVr16KwsBBXrlxBcnIyIiMj4ePjg6CgIABAcHAwvv32WxgMBly9ehXnzp2DXq9HixYt/vTrVkaNW6KoNSpFqxK224PWk38Jk5EX9ljnaCzmx4jEU5HI6sVkYfuX8McK8OMFQZ2OCcZrxIuNAYJtGnel8bk3+VYgIjt1gixsttymRiCUinpTs21LRCUzRdnUbKDdDYHIq/svvwa/KRjHphebBAK/KDiuqLTqjop6PX8daZjQWWFfdME1UyS4tljhly2XalbZL1+q1WUPW/vtxcPDAzExMdi1axdGjhxp3b5r1y488MADNp/r7u6OZs2aAQA2btyIYcOGQc28uE6nQ1hYGEwmE7Zs2YIxY8bU+HVZZDCeROJgHJ1WMH36dIwfPx533XUXevbsidWrVyM5ORmTJk0CULbKSEtLs8bCXLhwAQkJCejevTtycnKwbNkynD59GuvWrbMe8/Dhw0hLS0OXLl2QlpaG+fPnw2Kx4JVXXrH7de1FOhmJxMFUXBJVtr86jB07FtnZ2Vi4cCHS09PRoUMHbNu2Dc2bNwcApKenK2JXzGYz3n77bZw/fx7u7u7o378/Dh48iMjISOuY4uJizJkzB5cuXYJer8fQoUPx2Wefwd/f3+7XtRfpZCQSR8MUchPtry6TJ0/G5MmThfs+/fRTxd9t27ZVBNWJ6NevHxITE2v0uvYinYxE4mAcPZNxdWrsZLz0bvDW3j6MO1MmUVTC0pDHC6N6RqwVlZ1s3JyPjsy9wQcwsQKgSGguMPBiI3trLvcGLw6XCsowatyVomFeLv/+vAW9foqLeBvYPuHevnyGstHMX6RsSU5RXyRRyUw2m1oUySsSeUVisPkB5bjsXIHA6snb5c+UvhQJs6JzaihSjsu5xY8pFUVVC0qAaplI6yLms2H7idlCjSo0GbuPVD+QMxmJxMGwda9F+xsS0slIJA7GTa2Cm42pjK199RHpZCQSByNnMkqkk5FIHIxKpbIZel/dsHxXp8ZO5np6MbzcKwi/TPRruKBfjkj4ZcXarOu8oCvqn6QV9DhiyRcIgtm5gp5AzLFEz7smKNvpyUTN/snqGQCAHEbIFkWxFpp5MbiQmIza4nxujAi2ZGZqlqi/EP+lYEVeANBsVYrB9GAvboyfD/95ZWQpP1dfb/6aqRhVXhkawRijgX8/bBkHAEhnSrR6MtHfJYLyE5XbUfaodH81WjjVB+RMRiJxMGqVSpg+UXF/Q0I6GYnE0cgOkgqkk5FIHIxGoxIu3az7LQ3Ly9TYyUS30UOvu60RWJj1ZtgdPtxzgsN5bcWTCTprlMr3y253T2NuW34Wr92wXD5xi9tWkM/bEMiUuvQSZP527h7AbWP1gmuXDdwYP0H2tlGQHd6YaSkTIGjzEbI7h9sW7KvUj3Ra/kIW9aZm25a0FDxPlE0tCrRjNRjL179wY8xP9+W2tYnmW92wNBW01vHxVX4+os8r9Qp/HYlmGQFMeU82iNRQUrX2V/H4slvBbeRMRiJxMBp1FTMZQcR2fUY6GYnEwajVKqhtBNzZ2lcfkU5GInEwcrmkRDoZicTBVCn82hHzU5+osZMxl5Kij9K1q0qhzSwIYvL244PJLp/OVfzt6c2bduEXvt+QUdBPOuUPpfBqFmROJ13hg+qu31D2KmoZzYuNZ37L5baxgVu5AlFZn8EL1MKgsBRljyg2uBEQ91m+xQSd+ZKgf7Ug+5jvTc2fK2E/aUE2NRtoJxJ501bv57YlDlYKxsWlvO26E3zvrCJmnIeat0mlEpUA5TYBUF4PBSblezGa+c+0MuRMRomcyUgkDkamFSix28mUlJQomk/JvksSiRi5XFJidz5oXFycohFVeHh4bdolkbgu6tuZ2KJHQ6taJfsuSSQOplyTsfVoSNS471JJoRlu5tu+qpgpnSgqMSnaxka/qjX8mKxrvPjHlqsE+AxYiyD4yU2UscuUWFQJFEKRWFvC2C4qSlQiKAHaKIAXwNljeWj5j8jHkz8++5IicdNb8LyARkobcgQ9o0R9kdiSmQCfTS2K5GVFXgDw+0EZGRwgyN4uFpa/ZM6VICjXLMh49vSoOks+SK98z8V29IYqRy6XlEjhVyJxMCpUIfw2sAxJ6WQkEgcjK+MpkU5GInEwcrmkpMZOprSUUFqh1Bfb+kOrsy97VcdUpRPpNqKcD1HFtPw8pTYgKlSnFQS5scFkosxpnywjt42dGRcU8LaLeu2ILjY/f6VGImopY+RlE/jrlT+PboJPltWcRBjtrAAnalsiqmjHIgq0YzUYUfa2cQiv0xQyAXMeAh1PhEinYUm9pbTTaLZ/+lEm7tqKk7H7UPUCOZORSByMWqOyWS7UnlKi9QnpZCQSB6NWlz1s7W9ISCcjkTgYlVolDH+ouL8hIZ2MROJg5HJJSY2dDHtCvZjsad9AXjwtFQiQBbeUgqpFIHiWCkRJL0GvaL1P1W8r/Tov4LKBdqIe2v6CADq2lGdICB+06KGzb47MvmahoGd3q+b8OWXLnorwELSnYQkUfF56QVlLUW9q9ssjKpkpyqZmA+1EIq9+Oy8GmwYpx/kKqnh66fgvdFYef23pmXFFzLWmUlWjj4ksJK5AzmQkEgejVlVRGa+B3V6STkYicTByuaREOhmJxMFI4VeJdDISiYORlfGUOLwXtoERKk0CsbaokBczvRmx1iiIKPXS869/M4Mvo5nFlNEUlbAUfdClTN/pvBxe3Lws6OMTyIjBNwS9oERRxx6CDHK2rzbbWwgATp4u4LaZmVMqimoVle0Mb6K0Pd/OaGVDUdVCqMh2tmRmGYzYbeKjxFmRFwACdijF4GyBYJxVwJ94C/Hv51YRI/yameuxGm1MNG4qaNxspBXY2FcfkTMZicTByPKbSqSTkUgcjNpNBbWN2YqtffUR6WQkEgejVlXWEeH2/oZEjZ2Mn787vD1uH0a0DueeIwhoYyvjmS38WlqUkQzw2/yZTGZRIFxqOh+M5+2lHBcQxAempV/jNSA2iE+kvwT48+/ZX5DlncloTGxGOQA0bcwf6+Yt5bjQYEHvbYE+Fsr02vYT6GUk+CxybvF6FZtVLupNLWpbwla0E2VTiwLtWA3GVxCwpxnF6zSlgutIx5yuWwbl+yupVkuUKu4uyeWSRCKpCTJORolsiSKROJoq4mQa2npJtkSRSBxMeakHW4+GhGyJIpE4mPLlkq1HQ6LGLVH0vm7w1t4WInNvKgXV0Ag+E7dAkMHL9r4WaWN6f17MLDLwgtzN60rxVBT8JxKW2dcUZX27C/pJs2J3ocAmN8FtS4OgZ3Ywk8HtH8Sf8wP7srlteQYmk9nEBwSKAvTYZL2cXN4mL4FwzgYuAoCR6cedKghcFPWmtqccpjCbmgm0E4m85i28GOwxmh9XwlySnsylprJf95VpBQxS+JVIHIx0Mkqkk5FIHIxGXUW3AulkJBJJTZB9l5RIJyOROBiNmxoat8o9ia199ZEaO5mbN4wo9rit3LFlM4sFIqhIrPXxU0axGgSRrqJIWjdBSUk2elgnEC7ZHksAH7nrIegZ5e3Fb/Niek0JS4cKemh7evF2sVHNonN1q6BqpdTXm7czv5B/nl6vHCeKqhb1WPIQCODsexSJ96KVAtubWiQEi0pmstnUokhekchr+k/VkcEFTGB3if2tsGtlJrNy5UosXboU6enpaN++Pd5991306dOn0vErVqzA8uXLceXKFURERGD27Nl47LHHFGPeffddxMfHIzk5GUFBQRg9ejTi4uKg05VFgc+fPx8LFixQPCckJAQZGRnVsl3OZCQSB1PmZGwJv9U73qZNmzB16lSsXLkSvXr1wqpVqzBkyBAkJiYiIiKCGx8fH4+ZM2dizZo1uPvuu5GQkICJEyciICAAw4cPBwBs2LABr776KtauXYvY2FhcuHABTzzxBADgnXfesR6rffv22L17t/Vvjca+Zo0VkU5GInEwjk4rWLZsGZ566ilMmDABQNkMZMeOHYiPj0dcXBw3/rPPPsMzzzyDsWPHAgCioqJw6NAhLF682Opkfv31V/Tq1QuPPPIIACAyMhLjxo1DQkKC4lhubm4IDQ2tlr0sDWtxKJH8BajUZYXEK3uUz3Ly8vIUj4ppO+UYjUYcO3YMAwcOVGwfOHAgDh48KHz9kpIS65KnHE9PTyQkJMBkKgsI6t27N44dO2Z1KpcuXcK2bdtw3333KZ6XlJSEpk2bokWLFnj44Ydx6dKlap8P6WQkEgdTrsnYegBAeHi4IlVHNCvJysqC2WxGSEiIYrstbWTQoEH46KOPcOzYMRARjh49irVr18JkMiErKwsA8PDDD+P1119H79694e7ujujoaPTv3x+vvvqq9Tjdu3fH+vXrsWPHDqxZswYZGRmIjY1FdjYfDGqLGi+XGofpoK8Q8XuLKT3pIyhn4BfMR7GWMv2GRKJrQKiO22YWCKpFTCStu5b3pd6ZfKkHNirXWMyrfZ5egh5ETNkDN0FZTdESXdR/qlFj5bkRid1B/vzxdcx7FAm4jXz5cxrIvJ7oeaw4DABaLb8tnSlTESDo4QTwpTLsge2LBPAlM9lyDQAfyQvYFxns8UCs4m8SRCpXhlqjhtrGHST1/+qgpqSkwNfX17pdFFFfDlsegogqLRkxd+5cZGRkoEePHiAihISE4IknnsCSJUusmsq+ffuwaNEirFy5Et27d8cff/yBF154AU2aNMHcuXMBAEOGDLEes2PHjujZsyeio6Oxbt06TJ8+vYqzUOH92j1SIpHYhb0Jkr6+voqHyMkEBQVBo9Fws5bMzExudlOOp6cn1q5di8LCQly5cgXJycmIjIyEj48PgoKCAJQ5ovHjx2PChAno2LEjRo4ciTfffBNxcXGwVNIp0NvbGx07dkRSUlL1zke1RkskkiopTyuw9bAXDw8PxMTEYNeuXYrtu3btQmxsbCXPKsPd3R3NmjWDRqPBxo0bMWzYMKj/5+EKCwut/y9Ho9GAiECi6TPKtJ6zZ8+iSZMmdtsPyLtLEonDcXSN3+nTp2P8+PG466670LNnT6xevRrJycmYNGkSgLIKCWlpaVi/fj0A4MKFC0hISED37t2Rk5ODZcuW4fTp01i3bp31mMOHD8eyZcvQtWtX63Jp7ty5uP/++61LqpdeegnDhw9HREQEMjMz8cYbbyAvLw+PP/54teyvsZPJzTaitEIwnsmo9ILXLhvsOo47E1R3K5vXTHIF20ReN4cZJ8ojKSkRtGopVh5LdKsx5yZvA1sfxCTQWoRah6Bn98Vz+Yq/3QX6Dtv+BABy85UbvTz55xmK+CeyepIoaFAr0LSKBMfy1FUd2FcgaHcSpFceK/WW4PVErXWYtiVsyUyAz6YG+EA7gNdgNFuVd27U+XnAHf78EwWU30Wytb86jB07FtnZ2Vi4cCHS09PRoUMHbNu2Dc2bNwcApKenIzk52TrebDbj7bffxvnz5+Hu7o7+/fvj4MGDiIyMtI6ZM2cOVCoV5syZg7S0NAQHB2P48OFYtGiRdUxqairGjRuHrKwsBAcHo0ePHjh06JD1de1FzmQkEgdTG90KJk+ejMmTJwv3ffrpp4q/27ZtixMnTtg8npubG+bNm4d58+ZVOmbjxo3VtlP4Wg45ikQisSILiSuRTkYicTCOXi65On/ayZRrIYVGZUxKKaPJlNpZ0NSdlOPY4wKAWwl/LJEmwz5XpMkUmfjjW5hjGQRBFoWC57FvUfRLJdIn1Ly8wx2fPS8AUFTK28AeX2Xin1dcyusa7LkSvT+zINlGpDuVMLqJoYTXX4yC1iLFpWZmDP96KhVvO9s6VtS2RFTRTpTsyMbBqPOVhfJLCsr+ruzOS0UKSkw2l0QFouCdeoyK7DlrAlJTU2UxcUmDIyUlBc2aNRPuKy4uRosWLezKUg4NDcXly5e58P/6yJ92MhaLBdeuXYOPj0+trjHz8vIQHh7ORUe6AtJ251AbthMR8vPz0bRpUy6+pCLFxcUwGgVTVAYPD48G4WCAGiyX1Gp1pR69NiiPinRFpO3OwdG2+/n5VTlGp9M1GOdhLzLiVyKR1CrSyUgkklqlzjsZrVaLefPm2cxQratI252DK9teH/nTwq9EIpHYQ52fyUgkEtdGOhmJRFKrSCcjkUhqFelkJBJJrSKdjEQiqVWkk5FIJLWKdDISiaRWkU5GIpHUKv8PASGg3xcAvikAAAAASUVORK5CYII=",
"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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",
"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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",
"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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",
"text/plain": [
"<Figure size 300x200 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"group_a1 = [value for value in data_runs[f'short-within-trace-interleave-reference-25-07-11-04-p0.3'] if value['info']['serial'] != 72][:30]\n",
"group_b1 = [value for value in data_runs[f'short-within-trace-interleave-reference-25-07-11-04-p0.3'] if value['info']['serial'] == 72]\n",
"group_a1 = sorted(group_a1, key=lambda trace: trace['info']['serial'])\n",
"\n",
"smooth = 1e-10\n",
"batchlabels = ([5, 15, 25, 35], ['Reference A', 'Reference B', 'Control', 'Experiment'])\n",
"corr_before = plot_vector_covar(group_a1, group_b1, plot_cdf=True, do_lines=False, smooth=smooth, triangle_delta=False, return_matrix=True, batchlabels=batchlabels, figsize=(3, 3), label_placement='x')\n",
"\n",
"group_a2 = [value for value in data_runs[f'short-within-trace-interleave-modified-25-07-11-04-p0.3'] if value['info']['serial'] != 72]\n",
"group_b2 = [value for value in data_runs[f'short-within-trace-interleave-modified-25-07-11-04-p0.3'] if value['info']['serial'] == 72]\n",
"group_a2 = sorted(group_a2, key=lambda trace: trace['info']['serial'])\n",
"\n",
"corr_after = plot_vector_covar(group_a2, group_b2, plot_cdf=True, do_lines=False, smooth=smooth, triangle_delta=False, return_matrix=True, batchlabels=batchlabels, figsize=(3, 3), label_placement='x')\n",
"\n",
"plot_vector_covar(group_b1, group_b2, plot_cdf=True, do_lines=True, smooth=smooth, triangle_delta=False, figsize=(3, 3))\n",
"\n",
"fig, ax = plt.subplots(figsize=(3, 2))\n",
"alike = lambda corr, a, b, batch_size=10: corr[a*batch_size:(a+1)*batch_size, b*batch_size:(b+1)*batch_size].mean()\n",
"for cand, label in {2: 'Control', 3: 'Experiment'}.items():\n",
" x1, y1 = alike(corr_before, cand, 0), alike(corr_before, cand, 1)\n",
" x2, y2 = alike(corr_after, cand, 0), alike(corr_after, cand, 1)\n",
" ax.plot([x1, x2], [y1, y2], 'o-', label=label)\n",
"ax.grid()\n",
"ax.set_xlabel('Similarity to Reference A')\n",
"ax.set_ylabel('Similarity to Reference B')\n",
"ax.legend()\n",
"\n",
"colors = plt.get_cmap('tab20').colors\n",
"cit = iter(colors)\n",
"fig, ax = plt.subplots(figsize=(4, 3))\n",
"alike = lambda corr, a, b, batch_size=10: corr[a*batch_size:(a+1)*batch_size, b*batch_size:(b+1)*batch_size]\n",
"for cand, (label, marker) in {2: ('Control', 'o'), 3: ('Experiment', 's')}.items():\n",
" x1, y1 = alike(corr_before, cand, 0), alike(corr_before, cand, 1)\n",
" x2, y2 = alike(corr_after, cand, 0), alike(corr_after, cand, 1)\n",
" ax.scatter(x1.flatten(), y1.flatten(), label=f'{label} before', alpha=1, marker=marker, s=5, color=next(cit))\n",
" ax.scatter(x2.flatten(), y2.flatten(), label=f'{label} after', alpha=1, marker=marker, s=5, color=next(cit))\n",
"ax.grid()\n",
"ax.set_xlabel('Similarity to Reference A')\n",
"ax.set_ylabel('Similarity to Reference B')\n",
"ax.legend()\n",
"fig.tight_layout()\n",
"fig.savefig('../paper/fig_short_interleave_scatter.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 124,
"id": "b4390203-9f0c-4a75-ac89-edb97561a15f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.983926\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.99±0.00183 min: 0.986 max: 0.993\n",
"Cross class: 0.989±0.00152 min: 0.986 max: 0.992\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.999767597486\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 300x300 with 2 Axes>, <Axes: >, None, None)"
]
},
"execution_count": 124,
"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": [
"batchlabels_before_after = (list(range(5, 45, 10)), ['Reference A (before)', 'Reference A (after)', 'Experiment (before)', 'Experiment (after)'])\n",
"fetch = lambda run, serial: [value for value in data_runs[f'short-within-trace-interleave-{run}-25-07-11-04-p0.3'] if value['info']['serial'] == serial]\n",
"group_a3 = fetch('reference', 1) + fetch('modified', 1) + fetch('reference', 72)\n",
"group_b3 = fetch('modified', 72)\n",
"plot_vector_covar(group_a3, group_b3, do_lines=False, smooth=1e-10, triangle_delta=False, batchlabels=batchlabels_before_after, figsize=(3, 3), label_placement='x', fig_out='short_ref_exp_interleave_direct')"
]
},
{
"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": 125,
"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": 125,
"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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PuXPnGozr16+fwee9e/ciMjIS586dw9KlyzBu3FZotb76chcXFwzqYmfJD8ZGRJ3G2948D443ZbndWbdRdlRD4VMe1q7BgwdDoVCgpKSk02n9/f0xaNAgg8HFxcVgmtDQUAwePBhPPvkkMjI+RHb2LPz73/e7G+zKKY+/vz+USqWoRnDjxg1RzaGtwMDAdudxdHSEn59fh9PoltvddXfIjmoonFBYu3x9fREfH4/Nmzfjzp07ovIff/yx28t+4onxCA19BBs3rtGP053ydDQsXrwYAKBWqxEdHY28vDyD5ebl5WH06NFG1xsbGyua5+DBgxgxYoT+eo6xaXTL7e66O2RHNRS+y8OMunTpEgUGBlJUVBTt27ePzp07RxqNhv7617/q75YYu22s27/t3eUhIkpNzSWVyomuXr3ardh0t24zMjJIo9HQsmXLyM3NjcrLy/XTpKSkUFJSksH3cXV1peXLl5NGo6GMjAzRbeOjR4+SUqmktWvXUklJCa1du9bobeOO1t0R0V2eiROJnnuuW9vBUvi2MZPE9evXaenSpRQWFkZqtZr69etHTz31FH377bdEJCQUAKJh0aJFRGQ8obS2tlJERAQtWbKk27Ft3rxZH9fw4cMpPz/foHzOnDk0fvx4g3GHDh2iYcOGkVqtpvDwcEpLSxMtNysriyIiIkilUlFkZCRlZ2d3ed0dESWUkSOJXnzR5PnlYOpxqyCy7KtatbW18PLyQk1NDTw9PS25amZltFqht8F27krbNa1WiwMHDgAAJk+eDGVEBDBtGvDOO/IG1gFTj1u+hsJks2sX8I9/yB2FzG7fBi5eBB57TO5IJMEJhckmJAQoL+/lzRmcOCH8290LulaGEwqTTXg40NDQu5szUBw7BvTtCwwcKHcokuCEwmQTEiI0Zl1eLnck8lEcOwbExtpNG5mcUJhsVCqhjZRbt+SORB4KrRb417/s5nQH4EfvmcxmzwbUarmjkIfH5ctQ1NfbVULpVg1F0sZlWK+mVgsXZf/zH7kjsTyf0lKQSgVER8sdimS6nFD27t2LZcuWYcWKFSguLsbYsWORkJCAK1eumCM+1gvs3CncNe1tPyHfkhJg6FDggfeebFmXE8r69euxYMECLFy4EEOGDMF7772H0NBQpKWlmSM+1gtMmya8G7dpk9yRWJbP2bOg2Fi5w5BUl66h6BqXSUlJMRjfUeMyTU1NaGpq0n+ura0V/vjgA7vKzKz73AEsGhmDd9cPxanPK/HHuH8jbkgFvr/ui/zzwQbThvjcQeKjZbjX4oD0o1GiZc2NKYWbUwsO/CcMZdWGb/COHliFYaHVuHjTE19p+huU+bk1YvYIofXs9488jBat4V2X2dHn4efehG/P9YOm0segbFhoNUYPrML1H12R853h7V9XdQvmxZYCAD46HoH6JhWICFVXa3Cl6hlMiXgCYRA6lS8qMvwukZHAE08AP/wg7s7VwQFYskT4+9NPxbfe4+KAwYOB774Tui9pKywMmDJFeEo5I+PBLQgsWAA4OwNffHG/1mhye1pdeZ7/2rVrBICOHj1qMH7NmjX00EMPtTvPqlWr2n3Xo0alIlKreeCBSK2mBpUnbVD+jhIVn9P/OU4mUqvpfeUSUqPRYEhQfEmkVlOdykdUpkYjVapCidRqelaxT1S2XvkqkVpNf3d8VlQWrTilj8ULP4jKzzgOJVKraYnDVlFZisP/EqnVVOA4UVQWhjL9cgfhvKg879ObRES0cqV4syxcKBxDpaXiMlfX+8dYTIy4fO9eoWzTJnFZYqJQVl3d/u64fVsonzr1/rgJE8zwLs/169fRr18/FBYWIrZNVW3NmjXYsWMHSktLRfO0V0MJDQ3ld3lYryV6l0eplDmizpn6Lk+XTnm607iMk5MTnJyc9J91+Ut/6sNYL6PVatHQ0ABAOA5sJaEA949fY7qUUNo2LvP000/rx+fl5SExMdGkZdT91AdJaGhoV1bNGLMCdXV18PLyMlre5QfbXnnlFSQlJWHEiBGIjY3FBx98gCtXruhb0+pMcHAwKioq4OHh0f02OO2M7jSwoqKCTwM7wNvJdFJvKyJCXV0dgoODO5yuywll1qxZuHXrFlavXo3Kyko88sgjOHDgAMLCwkya38HBASEhIV1dba/g6enJB4oJeDuZTspt1VHNRMfiDSwxMW50yjS8nUwn17bilwMZY5LhhGIFnJycsGrVKoO7YUyMt5Pp5NpWfMrDGJMM11AYY5LhhMIYkwwnFMaYZDihMMYkwwnFDLraot3mzZsxZMgQuLi4ICIiAh9//LFomuzsbERFRcHJyQlRUVHIyckxV/gWJfW22r59OxQKhWhobGw059cwq4KCAkydOhXBwcFQKBT47LPPOp0nPz8f0dHRcHZ2xsCBA7F161bRNGb5TZnQagHrAl2/t+np6aTRaCg5OZnc3Nzo8uXL7U6/ZcsW8vDwoD179tDFixdp9+7d5O7uTrm5ufppCgsLSalUUmpqKpWUlFBqaqqov11bZI5tlZmZSZ6enqK+lm3ZgQMHaMWKFZSdnU0AKCcnp8PpdX04Jycnk0ajofT0dFEfzub6TXFCkdioUaNo8eLFBuMiIyMpJSWl3eljY2Pp1VdfNRiXnJxMY8aM0X+eOXMmTZo0yWCa+Ph4mj17tkRRy8Mc2yozM5O8vLwkj9VamJJQXnvtNX1n9jqLFi2imJgY/Wdz/ab4lEdCuhbt4uLiDMZ31qKds7OzwTgXFxecPHkSzc3NAIBjx46JlhkfH290mbbAXNsKAOrr6xEWFoaQkBBMmTIFxcXF0n8BK2bs93Lq1Cmz/6Y4oUiouroaWq1W1DZMQECAqA0Znfj4eHz44YcoKioCEeHUqVPYtm0bmpubUV1dDQCoqqrq0jJtgbm2VWRkJLZv347c3Fzs3r0bzs7OGDNmDM6fP2/272QtjP1eWlpazP6b4n55zODBZhmIyGhTDStXrkRVVRViYmJARAgICMDcuXPx9ttvGzS805Vl2hKpt1VMTAxiYmL084wZMwbDhw/Hpk2bsHHjRvN9ESvT3nZ9cLw5flNcQ5FQd1q0c3FxwbZt29DQ0IDy8nJcuXIF4eHh8PDwgL+/PwAgMDCwS8u0BebaVg9ycHDAyJEje1UNxdjvxdHREX5+fh1O09PfFCcUCbVt0a6tvLw8jO6kdziVSoWQkBAolUrs2bMHU6ZMgYODsHtiY2NFyzx48GCny7Rm5tpWDyIinD59GkFBQZLFbu2M/V5GjBgBlUrV4TQ9/k316JIuE9HdCs3IyCCNRkPLli0jNzc3Ki8vJyKilJQUSkpK0k9/9uxZ2rFjB507d45OnDhBs2bNIl9fXyorK9NPc/ToUVIqlbR27VoqKSmhtWvX2tVtYym31RtvvEFfffUVXbx4kYqLi2nevHnk6OhIJ06csPTXk0xdXR0VFxdTcXExAaD169dTcXGx/vb6g9tJd9t4+fLlpNFoKCMjQ3Tb2Fy/KU4oZrB582YKCwsjtVpNw4cPp/z8fH3ZnDlzaPz48frPGo2Ghg4dSi4uLuTp6UmJiYlUWloqWmZWVhZFRESQSqWiyMhIys7OtsRXMTupt9WyZcuof//+pFarqU+fPhQXF0eFhYWW+jpm8e2337bbFc2cOXOISLydiIgOHTpEw4YNI7VaTeHh4ZSWliZarjl+U9x8AWNMMnwNhTEmGU4ojDHJcEJhjEmGEwpjTDKcUBhjkuGEwhiTDCcUxphkOKEwxiTDCYUxJhlOKIwxyXBCYYxJhhMKY0wy/w8LJYXi0H1WLAAAAABJRU5ErkJggg==",
"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"
},
{
"data": {
"image/png": 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W1obCwkJER0erbDs6Ohr5+fka9/3999+rfWby5MkoKChAe3t7j+sotqvvvnUmk/FZAl1dhdtmP0B9Aibq2rVrYIwhRMNYHOPH8wnK3n8fWLt2LTZu3KhSfurUKUycOFH5fsyYMbCwsEBzczM6OzsRGBiIOXPmKMtHjhyJoqKiHmNy/e3kqqmpgVwuh4eHh0q5h4cHqqurNX6+urq62890dHSgpqYGXl5eGtdRbFfffetM0WVMN7WpoIRiothvD/FINPxCK6bYZQxYvfp/ERe3WKXcx8dH5X1aWhpCQkJw5coVJCQkYN++fcoEwbc3AEOHDtUpxq6xMcY0xtvTZ7ou12a7+uxbJ3QPSrcooZioYcOGQSKRoKSkBLGxsd2u09HBn/NpaHB7aDLw8/PDsGHDMGzYMDg4OGDWrFkoLi6Gu7s7AH7JExMT0+M2NmzYgA0bNsDNzQ1SqVStRnD79m21msODPD09u/2MpaUlBg0a1OM6iu3qu2+dyWTA8OHCba+foDYUE+Xq6orJkydjz549aGxsVCu/d+8eLC35TW/l5boNpD1hwgSEhYUhSTEUHe5f8vT0Wr58OQDA2toakZGRyMrKUtluVlYWxowZo3G/UVFRap85ffo0Ro4cqWzP0bSOYrv67ltnNLBS9/q8ebgL6uURzvXr15mnpycLDQ1lGRkZ7MqVK6y4uJi99957yt4Sf/8A9uyzW1lGhmq3seL7766XhzHGTp48yWxsbNjNmzf1ik3RdXvw4EFWXFzMEhISmL29PSsvL1eus27dOrZw4UKVn8fOzo6tXr2aFRcXs4MHD6p1G589e5ZJpVK2Y8cOVlJSwnbs2KGx27infffkob087e2MWVgwtn+/Ht+MaaJuYzNx69Yt9tprr7GAgABmbW3NfHx82LRp01h2djZjjHcbA1B7LVu2jDGmOaF0dnay4OBgtmLFCr1j27NnjzKuiIgIlpOTo1K+aNEiNmHCBJVlZ86cYeHh4cza2poFBgay5ORkte2mp6ez4OBgZmVlxUJCQtiJEyd03ndPHppQFPeg6LBNU6fteSthzLBD9NTV1cHZ2Rm1tbVwcnIy5K7NVlMTkJnJp/5wcRE7GuMnl8vxxRdfAACmTp0KqVSqukJ8PPDPfwIVFUDXsn5K2/OWGmXNgJ0dMH8+/397O3+AkHo79dTeDqSmAosXm00y0QU1ypqR1lY+4PXnn9Mob3r76iugpgZYsEDsSIwSJRQzYmPDR+G/dAl47z0+rQeNSaujY8eAxx8HRowQOxKjRJc8Zmb0aODJJ4HvvwdycvgNcEL2pvZrdXV8lPAtW8SOxGhRQjFDtrbApEm8xhIYKHY0JiQtjV830mTWGlFCMWOKmolcznuCHB3Fjceo1dcDmzfzOUzohjaN9GpD6fPBa4hBLV4MPP00n1yMaLBlCx8Ob9cusSMxajonlLS0NCQkJOD111/HhQsXMG7cOMTExKCioqIv4iMGsHYtcP06sHQpNdJ266efeCv2xo2Av7/Y0Rg1nRPKrl278PLLLyMuLg7Dhw/Hu+++Cz8/PyQnJ/dFfMQAwsL43D7Hj/OJ3alL+QGlpXwe2aAg/uWQHunUhqIYvGbdunUqy3savKa1tRWtra3K93V1dfw/+/fff8aeiG4mgLdiw7Fx91N4pulL/M/jN3DqxwDcuKvasDL2kSqM8P0FV28743SJaluCu2MzZkf8DADYmxumVtv5w++uYqBdK74p9cXlaheVskj/Oxgd9H+Q/eqAkxcDVcocbNqxaDSfzPnw9yFoalP9tZ0x4jq8XZqQf90TF2RuKmWhXr9i0qOVqGmwRVqh6hPXllKGZWN/AgCkFgzFL422APhQB1VVDYiWZsHi7Ee44D4Z+X9IBw7YKD8bFARMncovE48cUf8+X32VP5j56af8OcIHTZjAk/jly7zr/kFeXryZprMT6O5v9MKFfAbJ06eBq1dVy0aNAn73O+DGDeDUKdUyZ+f7t84cOMDblh/04ouAhweQl6c+v9Pjj/OeQa3ocj9/ZWUlA8DOnj2rsjwpKYk9+uij3X5m8+bN3T5LUmtlxZi1Nb2M7FVpFcA6rfj/p0lOMmu0qLx2S1cxZm3N0qQvqZVFSfKV2xmARrXyy1ZhjFlbsziLA2pliRZvMmZtzb6xjFYrG4qryu0GoEytPM9yImPW1mydxV/VylZY7GPM2ppdtAxXK3PGr8rtRkoK1MqP2/2Byf/6V/b2jja1r+rFF/nvd1VV91+lYlTOKVPUyz78kJd99JF62cSJvKyjo/vtXr/OyxcuVC9LSuJlX36pXhYaev+c9PBQLz9/npetXq1elpDQR8/y3Lp1Cz4+PsjPz0dUVJRyeVJSEo4ePYrLly+rfaa7Goqfnx89y0OM1kOf5TFDffIsjz6D19jY2MDG5n5VUZG/lJc+hBgZuVyOpqYmAPz3lBLK/fP1YfUPnRLKg4PXzJgxQ7k8KysL06dP12ob9b+1+PlRXz4hJqe+vh7Ozs4ay3W+sW3NmjVYuHAhRo4ciaioKOzfvx8VFRXK0boextvbGzKZDI6OjsKO8SkixWWcTCajy7heoO9ROEJ/l4wx1NfXw9vbu8f1dE4oc+fOxS+//IKtW7eiqqoKYWFh+OKLLxAQEKDV5y0sLODr66vrbk2Ck5MTnQgCoO9ROEJ+lz3VTBQMPsBSf0SDRgmDvkfhiPVd0vAFhBDBUEIRgI2NDTZv3qzSm0V0R9+jcMT6LumShxAiGKqhEEIEQwmFECIYSiiEEMFQQiGECIYSisCSkpIwZswY2NnZwYVm1dIJjQTYe7m5uXjhhRfg7e0NiUSCf/3rXwbdPyUUgbW1tWH27NlYsWKF2KGYFBoJUBiNjY0YMWIEPvjgA1H2T93GfeTIkSNISEjAvXv3xA7FJDz11FOIiIhQGflv+PDhiI2Nxfbt20WMzHRJJBJkZmYiNjbWYPukGgoRnWIkwOjoaJXlPY0ESIwTJRQiupqaGsjlcrUxdTw8PNTG3iHGjRKKFt544w1IJJIeXwUFBWKHafK6DmfBGOs3Q1yYC5roSwsrV67EvHnzelwnkKbg05s+IwES40QJRQtubm5wc3N7+IpEL0KMBEiMAyUUgVVUVODu3buoqKiAXC5HUVERAGDo0KFwcHAQNzgj1tuRAAnX0NCAa9euKd+XlZWhqKgIrq6u8DfEJGU9jolPdLZo0aJupw3Jzs4WOzSjt2fPHhYQEMCsra1ZREQEy8nJETskk5Odnd3t79+iRYsMsn+6D4UQIhjq5SGECIYSCiFEMJRQCCGCoYRCCBEMJRRCiGAooRBCBEMJhRAiGEoohBDBUEIhhAiGEgohRDCUUAghgqGEQggRzP8D0cNpvNkMwSQAAAAASUVORK5CYII=",
"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": 126,
"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": 126,
"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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",
"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": 127,
"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": {
"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": {
"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": {
"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": {
"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": {
"image/png": 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nZ2cKCQmh1NRUOnz4MFWuXJlatGhBd+/eJSKiCxcuUMOGDalUqVLUokUL6tixI7m7uxdI9JH1U7k1S5Ysofr169Obb76pvhWkpKTQnj176O+//1Zvzo8Sy1tASkoKJSUlUUxMDMXFxVFSUhIdOnSIrl69Sk2bNqWyZcvSrVu3BPkjIiKoW7du9M8//zxyuYo6soieRFKAXLlyBQ0aNEDbtm3xww8/qOtbtWqFs2fP4uDBgyhbtqy6/ssvv1Qjad544w1UqVIlX+WjB8lrmzdvxsKFC+Hl5YX69etj2LBhAIClS5di/vz5qFOnDkaMGJFv0VBAVrG9iIgIjB8/HpcuXcKlS5fg4+ODkSNHol+/fnB3d0dERAQGDhyIyMhIHD16FCVLllTPIz09HTqdLt9kLLIUrl6SSIoXf/75J1WoUIH69u1L+/btIyKimTNnkqIoVLduXWrTpg116dKFxo4dS1evXqW4uLgClzE8PJy0Wi0NHDiQWrduTbVq1aIBAwao80uWLKHGjRvTq6++mm/+BMtT/99//00eHh701ltv0bJly+ibb76hHj16kEajoZ49e9KVK1eIiOjkyZPUvHlzCgoKopiYmHyRqTghFYNEUsBs2LCBGjVqRG+++Sa9/fbb5O3tTevXr6fIyEgKDw+nOXPmUHBwMPn5+VHTpk0pLS1NiE7KT86dO0dLliyhL774goiI7t69SwsXLqRKlSrRm2++qW63YMECevbZZ9WQ1fzg1q1bVL9+fXr//feF9UlJSfTNN9+QTqejIUOGEFGmIjl16hTVrFmTatSoQSaTSaiuKskbUjFIJAWE9Y3q119/paeeeoqcnJxozpw5NtumpaXR77//bhNymZ9cuHCBatWqRX5+fkL2cGxsLH399dcUHBxMAwcOFNbnJ/v27aMaNWqobyVcOX766aekKApt3bpVXRcRESGdzY8AmfkskRQQiqKoGcIvvfQSZsyYgRo1auDw4cPYt2+fup3FLt6xY8d8r5JqjZOTE1588UUQEXbv3q2u9/DwQI8ePTB27FisW7dO9Tfkd0XSU6dOISYmJseGQ506dYKvry9OnjyprqtatarQvU7y75DVVSWSAsSiHBRFQbt27WA0GvHRRx9h3rx5UBQFTZo0KTBnqUUOC6VLl8bw4cOh1+uxdOlSTJ48GVOnTgWQqQReffVV6HQ6NG/eXD2X/CQ4OBj37t3D5s2b0alTJ5uub5UqVYK7uztu3LiRr3IUR6RikEjyCcuNd+/evXBwcEDjxo0BiMrhpZdeAgDMmjUL06ZNw5QpU9CwYcMCk+3gwYM4efIk7t27hxdeeAHVq1fH8OHDAUCNmrIoBw8PD/Tp0yffFYKF0qVLo1q1avj2229RqVIltVUoEcFsNiM2NhYlS5ZUr6vk0SFNSRJJPqEoCrZv344OHTrg9u3byMjIEOaszUqjRo2C0WgssF7DiqLg559/Rrt27RAaGopFixbhqaeewuzZs6HX6zFs2DC8/vrrWLduHUaPHi18rqCoXLky3nnnHfz++++YMWMGjhw5osrg4OCAefPm4fr162jUqFGByVRckHkMEkk+cfv2bXz11VdwcnLC2LFjs93G2pyTmJgIV1fXApHtzJkzaNOmDWbOnInu3bvD2dkZM2bMwOzZszFp0iS8++67uH79OubNm4edO3diw4YN8PHxKRDZAPG6zJo1Cx999BF8fX3RtWtXAJnX9pdffsH27dtRv379ApOruCAVg0TyiCEiREREoF69eihdujQmTJiAAQMG2N3e2ryUXzIBWU/8O3fuVMt5ly9fXrXfT5s2DbNmzcLJkydRoUIF3Lx5Ew4ODgWqFCxYEtwAYN26dfjtt98QHh4OPz8/1KtXD8OHD0fVqlXzXQ5Lj2jLv8UB6WOQPLHk543032KRqXr16njnnXcwb948nDp1yu7bgOUc8vNcLPteu3YtatSoAQcHB1y7dg16vR4ajQYpKSlwcnLCuHHjsHjxYoSHh6NChQrw9fXNN5lywqIQNBqN+vcrr7yCV155BUajEXq9vkBu0tevX8fdu3dRu3ZtrF27FrGxsejbt2+xUA5SMUieOHJ6wi5MRWE5tvXx586dCyLC/PnzUbduXbz22mswGAyFIh8AHDlyBN26dUNoaCjeeustPPXUU+jVqxc2btwIFxcXEJGqwDw8PPJdHss1O378OCIiIpCSkoJWrVoJIbrWkUhEpPa15hFKj5qEhAQMGzYMRqMRbdq0wZgxY7BixYpioRQAaUqSPGFYbiZ//vknfvrpJyQlJaF06dKYOXNmocu0e/dubNmyBSkpKQgICMC7774LABg2bBgWL16Mr7/+Gt27dy8U5XDy5EkcOHAAd+7cwbhx4wAAGzduxPTp06HVarFo0SKkpKRg3bp1+Prrr7F//34EBgbmu1xhYWEYOXIkypYtC2dnZ4SHh2Pt2rXo1KlTvh87N3777TeMHz8ep06dwrRp0zB+/HjBvFWkyfcUOonkEbN27Vpyc3OjwYMH00cffUReXl7UqlUrun//fqHJFBYWRu7u7tSnTx966623qFSpUvTSSy+p88OGDSM3Nzf65ptvKCUlpUBksmRaX7t2jerXr0+urq40depUdT4tLY02bdpELVu2JCcnJ6pUqRIFBwfTkSNHCkS+I0eOkLe3N33zzTdERHT+/HlSFEWQsTCwZFhfu3aNqlWrRpUrV6auXbuqlW2LQ6kNqRgkTxTR0dFUu3ZttYzE9evXyd/fn9555x1hu4L8z3vlyhWqVKkSffnll0SUWVrC29ub3nrrLaGMQ58+fcjPzy/fSklYjmXdPc1ScnrevHlUuXJlatasWbaf3bNnD508eZKio6PzRbbsWL9+PXXt2pWIiC5dukRly5YVvkdLQ6KC/C4tx4qMjKSUlBSKjIykX375hVq3bk0vv/yyjXLI7051hYVUDJInigsXLlDNmjUpPT2drl27RmXKlKG3335bnd+yZUuByWK5ORw+fJhq165NRERXr16lsmXL0uDBg9XtduzYof6d3zfec+fOUb9+/choNNKaNWtIURQ6f/68WniucuXK1KtXr2yVSEEzd+5catq0KZ07d47KlSsnKNKNGzfS4MGD861vdHZYvs9ffvmFKlWqRCtXrlTnfvzxR2rdujV17txZVQ4zZ86kpUuXFsk3CKkYJE8Elj7H165do7p169J3331HgYGB9Pbbb6s3t4sXL9LLL79Mu3fvzldZLDcCyxPt8ePHqUmTJrRlyxYqV64cvf3225Senk5ERKdOnaI+ffqo5pn8vomcOHGCFEWhp59+mhwcHGjZsmXqXHJyMoWGhlK9evXojTfeUGUpyB7S1uzevZuaNWtGXl5e1K9fPyLKeusZNWoUdevWrcDLjq9bt46cnZ1pzpw5NiXFf/rpJ2rbti3VqFGDunfvToqiFEjjpMJAKgbJY4vlxrVnzx764Ycf6Nq1a5SYmEgvv/wyOTk5UZcuXYTtx44dS40aNSoQc8jhw4epa9eudPPmTbp69SrVqVOHtFot9e3bV9juf//7H7Vs2ZJu376d7zJZbvCWqqONGjVSO8JZSEpKotDQUGrUqBF17ty5QJ52Lcc4fvw4/fHHH7R3714iylQC/fv3J29vb5ozZw7FxsbS1atXady4ceTt7U2nTp3Kd9msuX37NjVo0IA+/fRTIiJKT0+npKQkCgsLU/tv79y5k8aPH089evQocPkKEqkYJI8llpvJzz//TO7u7jR16lS11/CePXsoKCiIXnzxRfr2229p06ZNNHToUPLw8KATJ04UiHyrV68mV1dX9Ylx48aNpNFo6M0336SNGzfS/v376d133yUPDw/6+++/810ey/Uym8303Xff0dSpU8nFxYW6du1qU4Y6MTGRvvjiC2revDldv34932UjynwSd3JyosqVK5NWq6Xx48cTUaYy6927N9WqVYucnJyoSZMmFBwcXGC9o625cuUKlS9fnnbu3Enx8fE0depUatGiBTk4OFD16tVp+/bt6raWN8KiilQMkscK6yfYAwcOkI+PDy1evNjGFv7nn39St27dyM/Pj2rXrk2tW7fOd6VgNpsF+bp06ULPPvssJScnE1Gmbbphw4ZUsmRJqlGjBjVp0oSOHz+erzJZ5CIi2r59O40fP159Ozl69KiqHK5evapubzFr5Xc/BYtsiYmJ1KZNG1q8eDGdO3eOvvvuO3J0dFSb7JhMJjp9+jStXLmS9u/fX2DKKjs6dOhAPj4+5OfnR507d6Y5c+ZQYmIiVa1alUaOHFlochU0UjFIHguOHDlCqampwrr58+fT008/TUlJSeo66ye19PR0un37Nt29e5cSExMLTFaLHTwsLIwaNWpEe/bsUedu375N58+fp6tXrxbIjddCWFgYubm50dixY2nfvn2qsjh27Bi5uLjQq6++Srt27aIpU6aQXq+nmzdv5qs8luMnJCRQbGwsvf/++0K3t/Xr15OjoyMNHTq0UHwcFvlOnTpFO3fupJ9//lmV95tvvqFvv/2WYmNj1d9br169aOrUqUXS0ZwdUjFICp3vvvuOGjRoYJOH8N5771GjRo3UsXXo55EjRwrkydJyIzhy5Ag1b96cDh8+rD6RJyUlUd26dalHjx75Loc9Tp8+Tf7+/vTVV18J6y03tePHj1OZMmWoTp06VLp06QLLU1i3bh09/fTTVK9ePfL396f9+/cL8+vXrycXFxcaMGAAGY3GApGJKOs7DQsLo/Lly1PdunWpYsWKVLNmTdX/YeH+/fs0ceJE8vLyUkN/iwNSMUgKlSVLllBcXJza1P3GjRtqAtjatWtJq9XShg0bhM8kJSXRqFGjaP369QXyBLd27Vr68ssv6fnnn6egoCB65ZVXKCwsjIiI/vrrL6patSpt3Lgx3+XIifXr11PdunUFR7NFiVr+jYqKogMHDuRrj2ZrDh06RCVLlqShQ4fS2LFjSa/XU8+ePenatWvCdj/++CP5+vpSTExMgchlYc+ePeTp6UlLliwhIqKzZ8+Soii0YMECdZutW7dS586dqXz58oXi8yhMpGKQFBqTJ08mRVHo4sWLRJQZalmlShVatmwZJScnU0JCAvXq1YuCg4Pp119/JaLMENGJEyeSr6+v+rn85MCBA6Qoipqdu2bNGhoyZAhptVrq0aMHjRs3jl544QWaNWtWvsuSE99//z2VLVtW8CNY2L59u83NOL85d+4cffzxxzRt2jR1XXh4OOl0OurXr5+NPAkJCQUqHxFRaGgo9e7dm4gy5Q0KCqK33npL2CYyMpIWLFhAFy5cKHD5ChupGCQFjtlspqioKKpWrRr99NNPRER08uRJIiJ6/vnnqV69evTDDz+Q2WymM2fO0ODBg8nBwYFq1KhBdevWJX9//wJ5gjt16hQtWrQo25v+/v37qX///tS0aVNSFIXKlSunOqELmt27d5OLiwt99dVXNtEyb7/9Nn344YeCGS6/MJvNdPfuXQoICCC9Xm+Tjb5z507S6XQ0YMAAioyMzHd5uGxEpEaRjRgxgrp160YJCQkUEBAgJNctWrSIPvnkkwKV73FDKgZJgWP5D9i2bVvq1q0bLV26lDw8PNQns86dO1ONGjVo9erVZDKZyGQy0Y4dO+izzz6jFStW2IRf5gdXr16lBg0akJubG82YMYOIsrKELfInJCRQZGQkjR49ukBDUg8ePEg//PADzZo1S/WzfPTRR6TVaumLL76g06dPU2RkJL3//vvk4+NDZ8+eLTDZiDIjxoKDg6lp06Z06NAhYbtdu3aRoig0ZMiQAnc6b9y4kUqUKEH79++n7du3U6NGjcjT01N9U7B8ryNGjKCePXsWaEDD44ZUDJICpX///tS9e3dKT0+nX375hapWrUqKotD8+fOF7SzK4fvvvxeikgqKuLg4+vTTT6lChQrUqlUrdX1hZQlb+Pnnn8nPz49at25NDRo0IB8fH9XpPH36dPL19aWSJUtSzZo1KSgoKN/frHj2tOXmumPHDipfvjz17t3bRoY9e/aoOSn5jUW+qKgoGjBggOpDuHLlCr388ssUHBxM3333HRER3bx5k8aPH0+lSpUqMPkeV6RikBQYK1asIF9fXzXfYOvWreTm5kYVKlSgfv36qSUmLHTu3Jnq1atHixcvtgllfdRYP/FazDGWLOGgoCB688031fnCUg7Hjh0jf39/tcxFYmIiKYpCH3/8sbrNyZMnafv27bR9+/Z8dzRb508MHTqUevXqRdOnT1dDYbds2ULly5enXr16FUg+R04cOHCAXn31VWrUqJEQkXXs2DHq1KkTBQUFUWBgIDVt2pQCAwOLnaM5O6RikBQYs2fPpurVqxNR5hPliy++SBs2bKAlS5ZQ06ZNqVevXjYhq61bt6bmzZvna80cyw1u27ZtNHLkSHruuedo4cKFdPHiRTKZTDR//nyqU6cODRgwQP1MfiuHvXv32lyL33//ndq1a0dERBERERQYGEgDBw5U5+/cuZOvMmXHunXryGAw0MCBA6lt27bUoEEDCgwMVB3hW7dupUqVKtHLL79cIOa27Pjjjz+oVq1apNPphNpRRJlvEnv37qWZM2fSb7/9lq0DvzgiFYOkwNi2bRs1atSI2rVrR4qi0O+//05Embb7r776SlUOPDHMUqcmP1m3bp3a42HixIlUpkwZ6tChA928eZPi4+Np3rx5VL9+ferevXu+ymE2m+nQoUOkKAp99NFHgkL8/PPPqXHjxhQbG0uBgYGCw/SXX36h//3vfwVqdrt9+zbVrVtXcNSePHmS2rZtS0FBQXTr1i0iItq8eTPVqVOnUDOa9+zZQ02aNKFWrVrRtm3bCk2OJwWpGCQFSt++fUlRFHrmmWeE9enp6apy6NOnj41ZKT+JioqiOnXqUGhoKBFl3pzd3Nzo/fffV98mkpKS6JNPPqGnn34630w01uasTz/9lLRaLc2YMUNVlJcvX6aaNWuSXq9XHaaWz/zvf/+jF154IV+aFVmOYSmBbRlfvnyZfH19aevWreq2GRkZdOzYMapfvz59+eWXquIqCIVlXbLk7NmztHv3btq3b5+aPBceHk7NmjWjzp07C6XQi0s2c16QikGSL1huCMnJyZSamkrnz5+n6OhoatKkCfXv358aNWpEAwYMELqZZWRkUGhoKFWrVo3eeuutfPsPy0M3r127RvXq1aOkpCQ6d+4clSlThgYNGqTO79u3j0wmEyUkJOSbwrLuGmbhiy++IEVRaMaMGRQXF0fJyck0fvx4Cg4OprFjxxJR5g0wJCSESpQoka/VPu/cuUM+Pj5qPgcRUWpqKj311FNqQTwLZrOZGjVqRMOGDRPW5TfWhRcDAwOpbNmyFBgYSFWqVFGzlv/44w9q3rw5devWjTZt2pTvMj2pSMUgeeRYbnJnzpyhLl26UM2aNUmr1VKbNm1Um/i8efOoQYMGNHDgQMGxnJ6eTosWLcq3kNTLly/TN998IzgYjx8/Tr6+vhQeHk4VK1akgQMHqudw4sQJ6tGjBx0+fDhf5CHKul7Hjh2jwMBAodmQRTlMnz6dTCYT3bp1i8aPH0+BgYHk7u5OtWrVomrVquW7w9SSbe7o6KhG8aSlpdGwYcOoadOmaia4hVdeeYUmTJhgU3gwv2SzsHfvXnJ1daVvv/2WIiIiaO/evdSuXTvy8/NTw6H/+OMPqlGjBvXu3btQIt6eBKRikDxSLDeBv//+mzw8PGjo0KG0aNEi+vnnn6lTp06k0Wjotddeo/v379NXX31F9evXt1EO+cXff/9NlStXpldeeUX1b1jo2bMnKYpi40MICQmhhg0b5pv5yKIUjh8/TgaDgUJCQohIfML+/PPPVZ+D2Wwmo9FIMTEx9P3339Phw4cLrMxFXFwcTZw4kRRFoVWrVhER0d27d6l9+/bUuHFjGjlyJK1Zs4aGDRtG7u7uFBERke8yHT58mCpWrKiWVFm4cCG1adNGCA6Ij4+nNm3aUJ06ddRclD179hRIPsyTilQMkkfOrVu3qF69ejRu3Dib9fPnzyeDwUD9+/cnosw3h6ZNm1KPHj3yVTlERERQiRIlaNy4cdk6QXfu3EmtWrWiypUr07Zt2+jnn3+m9957j9zc3PIt1NJaKTg5OalKwYJ1BzHrN4f8rtrKTW3p6emComrevDkpikLLly8nokzlMGbMGGratClVqlSJWrRoUSCdzY4fP05ubm5COewpU6ZQqVKlBNmJMkNng4KCinRznUeJVAySR87Ro0epZs2adPLkSZvEp9jYWJo2bRrp9Xratm0bpaSk0LRp06hNmzb59uSbnJxM3bp1o6FDhwrr09LSKDIyUq25dPLkSXr11VfJw8ODatWqRc8991y+93g4f/48GQwGmjBhAhFlvSl89NFH1LFjR+GafPHFF6TT6WjixIn53vLy6tWr9MUXX6hjy/f38ccfU8mSJdXWlpYidBkZGWQymejmzZsFkjF84sQJcnZ2pg8++EBYv2/fPmrUqBF9/PHHQg+Pw4cPU2BgYIE1cnrSkYpB8shZunQpGQwGdcxtzJcuXSIPDw+1BlFKSopNC8pHSVpaGj399NP05Zdfqus2b95MI0eOJHd3dypXrhx16NBBnbtw4QIlJibmeyN6k8lEISEhVLJkSZozZ466fsaMGeTh4UGbN28mIjFnYsaMGVSiRIl8zVnIyMigsWPHUuXKlYXkuenTp5OXlxdt27aN0tPTacKECaQoiupzKCgiIyPJx8fHxuw3b948GjRoEA0cOJBatWql/r4SEhJo/PjxVK1atXzvQ1FUkIpB8sj566+/yGAwqM1PsqNevXoF1hErLi6OqlatSoMGDaKIiAiaMWMGValShbp27UpffPEFLV68mCpWrEjvvfceERVsZvP169fp3XffpcaNG1NoaCh9/PHH5O3trSqF7MhPJWrh2rVrglyffPIJeXt7C76ZxMREtULu6tWr810mC5cvX6aGDRvSyy+/TLt37yaiTIXp4uJCx44do/v379OQIUOoatWq5O7uTk2aNCEfHx+Z0ZwHpGKQPHKioqKoVKlS9PLLLwuZpBZzxL1796hZs2a0YsWKApNpx44dpNVqKTAwkNzc3GjhwoV0/vx5Isp8o2jXrh317du3wOSxJjo6moYNG0ZVqlQhrVarxthbV0qdNGmSmnldEJVSH1auhIQEmj59eoHXFjp37hx16NCBXn75ZRo0aBCVKlVKiOZKSEig8+fP07x582jNmjV06dKlApXvSUcqBkm+EBYWRo6OjtSnTx8bh9+ECROofPnyaiRJQREZGSl0YLNgMpno1VdfLbDwyuyIiYmhESNGUO3atemzzz4T5iZNmkQGgyFfQ2bzKpe1ciisBLGzZ89S27ZtycnJSZCtsAsdFgWkYpDkCxkZGbRw4ULSarVUpUoV6t+/P40fP5569epFXl5ej81rvdFopAkTJlDp0qXp3LlzhSqL5Qm9cePGqn38o48+KjSlYE8uosfjBnzhwgVq164ddezYkf766y91vcxm/m8oRESQSPKJAwcO4JNPPsHZs2fh6emJunXrYtiwYahatWphi4aVK1fi0KFD+PHHH7Fp0ybUq1evsEVCTEwMpk+fjhMnTsBoNOLvv//G7t278dRTTz0Wch07dgxt2rTB1KlTC1Uea86fP48RI0aAiDBx4kQ0b968sEV64pGKQZLvmEwmaDQaKIoCs9kMjUZT2CLh7NmzGDx4MEqUKIHp06ejWrVqhS2SSkxMDD744AP89ddf+Omnn1C3bt3CFglAplwhISG4du0aVq9eDW9v78IWSeX8+fMYNWoU7ty5gzlz5qBJkyaFLdITjVQMknyHiKAois3fhc2tW7eg1+vh4eFR2KLYcPv2bZjNZvj6+ha2KAI3b94EgMdOLgD4559/MHHiRMyePRvlypUrbHGeaKRikEgkRYa0tDQ4OjoWthhPPFIxSCQSiUSg8I29EolEInmskIpBIpFIJAJSMUgkEolEQCoGiUQikQhIxSCRSCQSAakYJP8Zo9GIKVOmwGg0FrYoNjyusj2ucgGPr2yPq1xFkkIpxCEpUsTFxRGAfG8e8294XGV7XOUienxle1zlygs7d+6kF198kfz9/QkArVu3LtfPhIeHU/369Umv11NQUBCFhobmu5zyjUEikUgKiKSkJNSpUwfz589/qO0vX76M559/Hi1atMCxY8fwwQcfYMSIEQgLC8tXObX5uneJRCKRqHTs2BEdO3Z86O0XLlyIcuXKYe7cuQCAatWq4fDhw/jss8/QtWvXfJJSKoZih9lsxo0bN+Dm5vbIahbFx8cL/z5OPK6yPa5yAY+vbI9CLiJCQkICSpcunWsxx9TUVKSlpT3UPvn/Jb1eD71e/6/ltLBv3z60a9dOWNe+fXssXrwY6enp0Ol0//kY2SEVQzHjxo0bCAgIyJd959d+HwWPq2yPq1zA4yvbo5ArKioKZcuWzXE+NTUVJQODkHgrJtd9ubq6IjExUVg3efJkTJky5b+KiZiYGJuChb6+vsjIyMCdO3fg7+//n4+RHVIxFDPc3NwAAO8djYTe1R0AcOWH/cI2Gp2DMDYbM9S/tS7iU5A5wySMHfTiE4w5TZzncXCWp7YPe9aEl6sj7sUmY+SMbQAA5wA/YVtKF/dlSk0Vxk5+Yhno9CRx3pyWIYzJlLU/rYtBnDOLJcSSo8QbhM7NRTwPA3s6ZNdFccy6LpSWDnukxYpPxIqD+H3o3F2FcXpCkjB2cMr5SVXjyJ4w2Xka7963eyyti7Mw5t+BosmSdWE70Q4+ZNfr4qHZddC5ivsmMgvjtHvidTGUKqH+HX/uqjDnHCDeMB0enHd6ahLWTH1Z/X+QE2lpaUi8FYP3Dl5V/59khzExHnMaBSIqKgru7lnbPYq3BQv8bYQelLfLzyrFUjEUMyw/Jr2rOwxumT9kRwO7yXHFoFgpBifxBmpOF2+2DgaxsqVZI85DI/6YNQ6ZisHd3R3uro5IN2uhc3TOVi5yEG+2GSTK6egk3sQUEzsPjR3FYLCvGNIdxZuWTi/K5sAUA1diGiuFaVbsKwbSi3LaKAZ2XZAmyuqgF89FnBMVAz9Ps6MYCsrPU2cQrwP/DqxldXcVfwv8+zRrmGIw2FcMpBevqfX3rWPfDz+WA1OID3tTdXR2haOLa47zZM6U0d3dXVAMjwo/Pz/ExIgPJbdu3YJWq83XfhhSMRRTrvywX/3PU6GP2PHq6uqDwljn5qT+nXo7TphzKpPLj5PfIJnSMaU+sOFanoI0DjD4Zu6TTOKNwVoOwFYJpd0XX+cVdiwHA3ubMWbdHEyp4k3KWmkAgN6nhN15Dbt5m5jslhsIADg4i0rEeCdWGDuVLiXuK1m8WXNlbGCypcTcFsaOXp7q31zJaLTiDVLrJt4Ede7iDVZhip0rRGsy0sRrYPARb5xJkaKcilZ8nTQli9+JwcdTGFtfB+tzBABHD1HutLjMtypTLm9rNpjJ5q3KZj4fadq0KX777Tdh3datW9GgQYN88y8AMsFNIpFIcsScYc51yQuJiYk4fvw4jh8/DiAzHPX48eOIjIwEAISEhKBPnz7q9oMHD8bVq1cxatQoREREYMmSJVi8eDFGjx79yM4xO+Qbg0QikeQE5fLGkMd2NocPH0arVq3U8ahRowAAffv2xbJlyxAdHa0qCQAICgrC77//jvfeew9fffUVSpcujXnz5uVrqCogFYNEIpHkCJnNghkwu/m88Oyzz6rO4+xYtmyZzbqWLVvi6NGjeTrOf0UqhmKKRueg2vu5TyGwRyNhbB21xH0KxKJvzMynkMEig5x8PbMXyOIMVLJ8B6r/wbIvNuaOVO5T4FFITv6iLd76STA9PkXct5Pov0i+cUcYa11Efwf3nXB7uXU0EI/GMd65K4xNKeI143Z/R09xzH0OZqO4f+vryPftwIIJMhLFCCct84fwY/HrkBab5efRMH9EBvOVcF+L1tV+AIDNb8nq+0yJuSfMmdg1sPhGuI8kNyjDDLJjLrI39yQjFYNEIpHkAJnJRkHx+aKIVAwSiUSSA1IxSCQSiUSAMkw25lI+XxSRiqGYYjZmqIlrPD+AZ0KXf72J+ndU2BFhjmcXKw7cti7+xIz3EoSxandWnXiKmhNgIvs2Zp47YLzLMmNLeghjU4roo0hPyPIrcLt/epLoc9DoxPNIjxdt8elx4nnxrG3rXATufNQ4iv4MB2fx++B2cVsfhZit7FRWLKFgSsk6tmMJT3GO+W3MrDZQ2n3xmuqYv8Pap5A5n5VopjOI3w/3MfA8lZRo8Tz4b4n/To13s655bt+P3jszh8Im4TIX5BuDRCKRSEQIuYSrFpgkBYpUDBKJRJIDZpMZZlPOkUf25p5kpGIopmhd9Grdo9zKXFibjwK6PiXMXfvthDBOvSmaA7ipwvJKbyGrhs0DcwkRMh6YPvQlxEJn3ATDQwWd/LyEsY6FP6YniqYoxxJZZhFuK06LFU0R3KwBVmuHF67jtXnMGVkmDAet+N/OwYmFvrLPWptnANtrys1WqTdZ6KZViKojv6YsvFjnwb4fVnaEh5Q6akXTUoaV2crMnrR5SQwjK2HC4bJxrE2JvHSHbZht5r540cdcKeSSGIWFVAwSiUSSA486we1JQdZKyieSk5PRtWtXuLu7Q1EUxMbGZruufPnyancmiUTyeGFJcLO3FEWkYvgXREVFYcCAAShdujQcHR0RGBiId999F3fvZmWwLl++HH/99Rf27t2L6OhoeHh4ZLvu0KFDeOuttwrxbCQSSU5YopLsLUURaUrKI5cuXULTpk1RuXJl/PDDDwgKCsLp06cxZswYbNq0Cfv374eXlxcuXryIatWqoWbNmupns1tXsmTJwjgNmDNManmD3MpcWIekcp9C2ZfqCOPLK/cKY2775WhdH/wENdYlMTJt7Nb26sw50a7Pbe3crsx9Crycg3XpbF7Kw9GTlW1mPgcbmP8jPTFZGFvb6hOvRosfzRDl4qGXvEkQL2PBw1fT7scKY5fAMlZzYlgtb47DSWclMlKjxVLZBn/x9yuU/sgQr4ml9LUFE/t+DSU92bz4/dqUyLD6fAYLL+bXxOKvyq2dJ6e4hqvKN4Y8MnToUDg6OmLr1q1o2bIlypUrh44dO2L79u24fv06xo8fj2effRazZ8/Grl27oCgKnn322WzXAbAxJcXGxuKtt96Cr68vDAYDatasiQ0bNqjze/fuxTPPPAMnJycEBARgxIgRSErK5aYlkUj+FWQ2g0x2liLqY5BvDHng3r172LJlC6ZPnw4nFkni5+eHXr164ccff8T58+cREhKCU6dOYe3atXB8kMA0btw4m3XWmM1mdOzYEQkJCVi5ciUqVqyIM2fOwOFB9MXJkyfRvn17TJs2DYsXL8bt27cxbNgwDBs2DEuXLs1WZqPRCKMx68nqcWvwLpE8zhRX57NUDHng/PnzICJUq1Yt2/lq1arh/v37MJlMcHZ2hqOjI/z8skIJs1tnzfbt23Hw4EFERESgcuXKAIAKFSqo859++il69uyJkSNHAgAqVaqEefPmoWXLlggNDYXBYNvScebMmZg6deq/PWWJpHiTmx+hiJqSpGJ4hPzXJt3Hjx9H2bJlVaXAOXLkCC5cuIBVq1YJxzSbzbh8+XK2CiskJERtBgJkvjEEBATAQa+ziVG3wO3t1jH8PE+B+xSCejcTxpE/HxbGNnZiix/Ast5MapkFm3h+VuIZTH6+bwdWkoGX6U5PyPID6FxEpZp8XSyzzfMYbI+V/bW0kHo7Vv3buazYujPu9HlhrPcWy4Pzstu8xLfNdXIXcxWsS1E4Mp+Pmfk3MpJFW73CbPLcp2DTKtRqzNuGmo32e1mnJ4rHtsljYKVBrP+fpd2NFeZcgsoI45Rbmb/bdGPezK6y7LYkV4KDg6EoCs6cOYPOnTvbzP/zzz8oUaIEfHx8/tX+uXmKYzab8fbbb2PEiBE2c+XKlcv2M3q9Hnp9zn15JRJJzhCR3cY69uaeZKTzOQ94e3ujbdu2WLBgAVJSxKebmJgYrFq1Cq+99tq/fmOoXbs2rl27hnPnzmU7X79+fZw+fRrBwcE2S3Y+C4lE8h8xIyv7OdulsAXMH6RiyCPz58+H0WhE+/btsWvXLkRFRWHz5s1o27YtypQpg+nTp//rfbds2RLPPPMMunbtim3btuHy5cvYtGkTNm/eDAAYO3Ys9u3bh6FDh+L48eM4f/48fv31VwwfPvxRnZ5EIrHCnGHKdSmKSFNSHqlUqRIOHz6MKVOm4LXXXsPdu3fh5+eHzp07Y/LkyfDy8sp9J3YICwvD6NGj8frrryMpKQnBwcGYNWsWgMw3ip07d2L8+PFo0aIFiAgVK1bEa6+9lufjmNNMWSWIc2nHaV06m+cO8DwF7lMo162BML60bLcoh4n9x1KybM+8dDKPTXcwiCYybnvnuQe8BLhwLuwtz6ZlJSs/zaNRuP+Cl8J29PJU/06+dkuYM/jaz2Xh7TjT74vx/7oSYnlxjT7nuk0ZbF/8mnI0evt+HEURxykxWXkOPI+Bw3MPHB1F34gpF9msZdd5ip+1qZX0YFvFlMdbHpFNjorNfBFEKoZ/QWBgYI7hoRayK3OR3borV64IYy8vLyxZsiTH/TZs2BBbt259GDElEsl/hCiXBDepGCQSiaR4IaOSJBKJRCJQXKOSpGIormigxoVz27yTr6cwtm7HyfspcPhrN/cpVOj3tDC+uPQvtgdFtYnzlpa55QrY9A5wYp93Ee3OqTFZ/g2bOku8dlIJ8bzNRtH+ze3lBl8xZNl6e57HwOsXcXieAkh8SuXfCd+ftV+BX1OeS8DrSfHcEe6jULRi/IreJysHQ+vIciBKib4Q7l/Se7NeEawJDpfN2T+rxldi5E3Yw/LbcIB9v4UNZrNV29kc5osgUjFIJBJJDpgzzDDbMRfZm3uSkYpBIpFIckJGJUkkEonEmuJadlsqhmKKRqOB5kH9H56bwLGutcN7Gav9FCzb8h4IzI7MfQoV32yRuR9LOoRGgcMDe785XrQp81wDng/gVlGsj8Mdg7wGlL057q9IZz4EblunZNGkoGW1l0xWtZbiTp4V5gz+vqIsTDaeUwE+ZvDcBK1VzwVHT7HuEr+GxpvimB/bxu4P8Tuyvo7GZHGO92PQMP+GKUnMz3D0EHNkeJ8Q634MLgHMb8OOpX9w3uY8+hjIZBL6dmQ3XxSRikEikUhygMj+W0ERtSRJxSCRSCQ5IU1JkmLFhz1rwt39QZgjf+zhRQCFkDw2p+Hb5u0/isWE5PrA0uLprMNn/etmc1xbubhZQ9GKpgkOL20o/Kfm58FPw+bRUBzblIrgslh93pxeT9zWgZcs4+WlYZ/crov1ubEy2tw8w0t9cHMPvwo219Tqb0dDI2Fudi2XnDcGbMtq29l35gqrNTa/Wbb1g33Hx8djxRi+o5yxdGqzN18UkYqhmOLl6gh318evIqtGo8DrMZTr0VJcyqCLfhavx+C0teY8/rZkHoOkOHEvNhnp5syvX9Gwp1ubJ1SrFTZvF2xT/qRmb1+A+iTn6ayDRqPATITEB//XMlJycRRyWXIz+PKnZSvHoc014M+neT0ve0/5TE7bFzb7++JP9YqSS5Fk6wPwtxO2r1zfwnK5xNYOfy+D6LC/l2LbYVA4lgM/lv03Rrty2WybuUF8ghF5QWY+S4oVI2dsg84xM1rF4OstzPGIHGtzgnUkSOa2YpSSpfuaBf6fnUc1WSKQPutfF16ujkg0A3MeFOiM/PkE25d4U0tPEG88pmRRNpusXJYhnHglRv3b2Z9lKrPOZtbd3gBAoxP/69icJ7su1tE6PArMJoqIRQLx8zbejRPGvMItx3r/em8x+zjtnpglbbwrVoV1DmBtaHMxFaYnZl2n5S/+LMy9s7qjMObXzIUdK41V1+WRXoISy6WjHj1QMmmpeezgJk1JkuKEc4AfHA2ZNxT+4+Y3LpPVU5G+BGsbyRQFL9/AS2fzkgxqSOqDJ9eMlHRVIdiU7P5ujzDmcvObgc7DWRjzNpXWyoCHo+Z2s7Z5smZPqFxp6dyyPp8ez96EbHwE9kMgdW7iefGyFck3bovzVoqDl5VITxAVub6kWDaef1+8FLZGy24hVudiShdv1m7BAeK+2O+M/5bS40XZrK8hAOjcs0JvU67fFeVgcvOyLw+LdD5LJBKJRET6GCQSiUQiYLZvSpKKQSKRSIoZ0vksKVZQugnkkGnL5rbbDG77tWr1afMfgdnHub3bth0nCxe0fN5qPxZnK/cpVOjTXBhfXXNIGHPbPLdhc4exdbkOPsfl5O1OOdypzh3G1p93ZH6alOg74r5Ym1DekpRM9qOQDKVKCGNrxzf3GTgxp3vS1WhRFu585t838+MIn9WJ2/JyKRzuXNa6iMfmsqfeilX/Tk9kTmWel4LM79NeWZTsILPZJgqMzxdFpGKQSCSSHCAT5RKVJN8YJBKJpHghy25LJBKJxBppSpIUK0ypqcigzNhubk+3sXFbJSLx5uc2Jbv5vgz26yBYyj6rr+tEag4Af4XnPoXA7g3F+dUHRblZ7LqRtby0LkHN8xC4LZrbv23ajjIfQ3K0GFfvXCbLls/9FTxHgucG8GvM/TjEMoR5bL21jyIjmScoit8Xz2Pg58UxG8W8COs8B2OyeA15CXZeVpvnftjkcyjcZ5GVTKdzFffFfUb/luKa4JZLLr1EIpEUY8ic+5JHFixYgKCgIBgMBjz11FP46y/e9zyL8PBwKIpis/zzzz//5axyRb4xSCQSSQ486sznH3/8ESNHjsSCBQvQvHlzfP311+jYsSPOnDmDcuXK5fi5s2fPZlVDBlCyZMk8HTevyDcGiUQiyQEym9Qubtku5ryFv37++ecYMGAABg4ciGrVqmHu3LkICAhAaGio3c+VKlUKfn5+6uLACw4+YuQbQzHFyc8bjk6ZNva0+6zwHbfN3423+pxog9Y6iz4EG/u2jheXE23alnacahVPIrUYnk0hNGZz5j6FwB5i/f/LK/cKY5s6T1a2ey07Fi+il3qLFZcrK7aSNLLigbyFprVtnxfBA6uOalKY34bXK+JF+Nh1sba9A4CDU5Z/hNdK4lE1fN/E6xMxXwv321j/HpzcxduLTR4Jk4X/VjS8PSrzj1jnYCRfF+tDufmLv9P0xEz/hW3vi1wwk/3CgQ/m4uPjhdV6vR56vfh/Iy0tDUeOHMG4ceOE9e3atcPeveJvlVOvXj2kpqaievXqmDBhAlq1apWHk8g78o1BIpFIcoDInOsCAAEBAfDw8FCXmTNn2uzrzp07MJlM8PUVe3z7+voiJibGZnsA8Pf3xzfffIOwsDCsXbsWVapUQZs2bbBr165Hf7JWFOgbw61btzBx4kRs2rQJN2/eRIkSJVCnTh1MmTIFTZs2LUhR/hPPPvssdu7cCQDQ6XQICAhA9+7dMWXKFJunBIlE8uRiMRnZmweAqKgowQdg7z7AI+CIyLYHxwOqVKmCKlWqqOOmTZsiKioKn332GZ555pmHOod/Q4Eqhq5duyI9PR3Lly9HhQoVcPPmTezYsQP37t371/tMT0+HTmc/pC4/9j1o0CB8+OGHSEtLw6FDh/Dmm28CQLZPChKJ5AnlIU1J7u7ugmLIDh8fHzg4ONi8Hdy6dcvmLcIeTZo0wcqVKx96+39DgZmSYmNjsXv3bnz88cdo1aoVAgMD0ahRI4SEhOCFF15Qt4uLi8Nbb72FUqVKwd3dHa1bt8aJE1kNW6ZMmYK6detiyZIlqFChAvR6Pb7++muUKVMGZpZs8vLLL6Nv377q+LfffsNTTz0Fg8GAChUqYOrUqciwsiUrioKFCxeiU6dOcHFxwUcffZTj+Tg7O8PPzw/lypVD165d0bZtW2zdulWdNxqNGDFiBEqVKgWDwYCnn34ahw6Jcfg7d+5Eo0aNoNfr4e/vj3HjxgnyPPvssxg+fDhGjhyJEiVKwNfXF9988w2SkpLw5ptvws3NDRUrVsSmTZvy8E1kkp6UivTEFKQnpkDROQiLOS1DWAwlPdRF52oQFsXBQVi0znphMaebhIWH3WWHotVA0Wqg83AWFo5G5yAsl1fuFZag3s2ExWwyC4vGwUFdLMXSLEtaXJKw6NxdhCUl5p6wOOh1wpJ8/bawWF9PByeDsOi93IQlLS5BWLQuBmGxuV4ajbBoXZ2FxcHgmPPipBcWRaMIiyWOP6d4fp2rs7Ck3rqvLuYMEhb+ffHfDpeNO3odS7gKizktXV0cPd2EhTJMwpKRlIqMpFSYcql5xcn8PdgzJT18VJKjoyOeeuopbNu2TVi/bds2NGvW7KH3c+zYMfj7+z/09v+GAlMMrq6ucHV1xfr162E0Zt9ej4jwwgsvICYmBr///juOHDmC+vXro02bNsJbxYULF7BmzRqEhYXh+PHj6NatG+7cuYM///xT3eb+/fvYsmULevXqBQDYsmULevfujREjRuDMmTP4+uuvsWzZMkyfPl2QYfLkyejUqRNOnjyJ/v37P9S5nThxAnv27BHeLt5//32EhYVh+fLlOHr0KIKDg9G+fXv1PK5fv47nn38eDRs2xIkTJxAaGorFixfbKKPly5fDx8cHBw8exPDhw/HOO+/g1VdfRbNmzXD06FG0b98eb7zxBpKTRYejBaPRiPj4eGGRSCQPicmU+5IHRo0ahUWLFmHJkiWIiIjAe++9h8jISAwePBgAEBISgj59+qjbz507F+vXr8f58+dx+vRphISEICwsDMOGDXukp8kpMMWg1WqxbNkyLF++HJ6enmjevDk++OAD/P333+o2f/75J06ePImffvoJDRo0QKVKlfDZZ5/B09MTP/+c1SYwLS0NK1asQL169VC7dm14e3ujQ4cO+P7779VtfvrpJ3h5eaFNmzYAgOnTp2PcuHHo27cvKlSogLZt22LatGn4+uuvBTl79uyJ/v37o0KFCggMDMzxfBYsWABXV1fo9XrUrVsXt2/fxpgxYwAASUlJCA0NxaeffoqOHTuievXq+Pbbb+Hk5ITFixernw8ICMD8+fNRtWpVdO7cGVOnTsXs2bOFN586depgwoQJqFSpEkJCQuDk5AQfHx8MGjQIlSpVwqRJk3D37l3hOlozc+ZMwSkWEBCQ7XYSicQWS0kMe0teeO211zB37lx8+OGHqFu3Lnbt2oXff/9dvddER0cjMjJS3T4tLQ2jR49G7dq10aJFC+zevRsbN25Ely5dHul5cgo0Kqlr1664ceMGfv31V7Rv3x7h4eGoX78+li1bBgA4cuQIEhMT4e3trb5huLq64vLly7h48aK6n8DAQJsEj169eiEsLEx9G1m1ahV69OihxvseOXIEH374obDfQYMGITo6WnjabtBAbCeZE7169cLx48exb98+dO/eHf3790fXrl0BABcvXkR6ejqaN88qE63T6dCoUSNEREQAACIiItC0aVPBnNK8eXMkJibi2rVr6rratWurfzs4OMDb2xu1atVS11lsk7du3cpWzpCQEMTFxalLVFTUQ52fRCJBVhE9e0seGTJkCK5cuQKj0YgjR44ITuRly5YhPDxcHb///vu4cOECUlJScO/ePfz11194/vnnH8WZ2aXA8xgMBgPatm2Ltm3bYtKkSRg4cCAmT56Mfv36wWw2w9/fX7gwFjw9PdW/XVxsm5+/9NJLMJvN2LhxIxo2bIi//voLn3/+uTpvNpsxderUbDWtwZBlt81u39nh4eGB4OBgAMDKlStRo0YNLF68GAMGDFDtjvaiD7KLRMjuc9z5rSiKsM6yLfevWMgunhpApr1bk+nP4I3rnfzFev6mlKzY9nRWU5/HoufWS8DBRZTFUpNIPWONBnrvTCce79HM4+B5DD3PU8itttK137J8VxoW3877KvO+Enov8Vjc9s/zHHTuWfsz3hHNebx+kdZVPHZuPbm1ruKx0xOYqdbq5qVj+05h+RkmZpK0rvEE2H4HCZdvCGODT9Zvx8yctjzHxcEg5i2ouSwPSItj/cJZvod1rojZKH4/vO6Sk2+mXA4peQtUIXMGyJRhd74oUugJbtWrV8f69esBAPXr10dMTAy0Wi3Kly+fp/04OTmhS5cuWLVqFS5cuIDKlSvjqaeeUufr16+Ps2fPqjfzR4lOp8MHH3yAkJAQvP766wgODoajoyN2796Nnj17AsiMcDp8+DBGjhwJIPO8w8LCBAWxd+9euLm5oUyZMo9cRolE8i94yKikokaBmZLu3r2L1q1bY+XKlfj7779x+fJl/PTTT/jkk0/QqVMnAMBzzz2Hpk2bonPnztiyZQuuXLmCvXv3YsKECTh8+HCux+jVqxc2btyIJUuWoHfv3sLcpEmT8N1332HKlCk4ffo0IiIi8OOPP2LChAmP5Px69uwJRVGwYMECuLi44J133sGYMWOwefNmnDlzBoMGDUJycjIGDBgAIPN1MioqCsOHD8c///yDX375BZMnT8aoUaOg0ci8Q4nkceBhE9yKGgX2xuDq6orGjRtjzpw5qg0+ICAAgwYNwgcffAAg0yzy+++/Y/z48ejfvz9u374NPz8/PPPMMw8V59u6dWt4eXnh7Nmz6pO6hfbt22PDhg348MMP8cknn0Cn06Fq1aoYOHDgIzk/R0dHDBs2DJ988gkGDx6MWbNmwWw244033kBCQgIaNGiALVu2oESJzFfaMmXK4Pfff8eYMWNQp04deHl5YcCAAY9MUUkkkkeAyQRo7JiL8hiV9KSgUFHtZi3Jlvj4eHh4eKD7+N/gaMj0p/D6/4ZSHsI41com7liC1QBK5DX07dvD+bEszBnSCF7uetyNS8HQGX8AAJxZP2JeE4j7M0zMzqxhhca4f6PsS3XUvyN/Ft9Iue/Eul4UYFszyqZGFPNZKFa+lnRmO+e2dK0z633sxPwyrI4Tr8uUFCUGIljLZrG1q3IxP1fcP1eEsYOzWCtJX4IlcfE6Tlb+kqUdVgtzb+0Tw795Laz0ONG/wXuRK8xfZX0d+fXPSBJ/lzr3zN96WmoSfpjQDnFxcXYT0iz/Tzq8NAs6nW3uiCpDeio2/zYu1/09aRS6j0EikUgeW3LruSBNSRKJRFLMMGXkYkqSUUmSIoTWxQDtgzBdUyoL9YsXX8OtQzUpg7VrZC0weVlm3o6Rl+lWP//AJKFoHFQTUjozB/BQSW4G4aWzuZWUm3eszUfluon5KxeXil21uAks5aYY5snNOeY0ZqFNyTKxcPNaaoxo+nEqLfrTeBIVb+1pYzpi5jzr1qFcbm7OcS7ja3eem454gbk0q6oGpnTxGnATmUYvXlObkhvsWKm3YoWx3uqa87Bb/n1Yt47NE2Zz5mJvvggiFYNEIpHkQG6RRzIqSSKRSIob5lzqIeWxg9uTglQMEolEkhPS+SwpTlg3Oed2YgcnFkZoZetPixVDKx09xRIiydfvCGMts4enM5+EasNWTb+khmPyMhTc3s39GzyMk4eB8jIX1q0kuU+h4psthDFvE8p9DjyUlreQFMIpmW9E5yGGOdq07mTXwSYEmIXlagy8pWbWvK0vhIXl3hPbjppSeTtNsUaZTetWq/IrCmtLzL+P9AQenip+P2m5tUu1ug4258V+G5Zrxs8nV8yUi4+haEb7S8UgkUgkOWHOAMwO9ueLIFIxSCQSSU7IqCSJRCKRCEgfg6Q4kRwVg3THTJuu3kcsk5B8Q/QTWOcPcNs59znYzN8XS0k4spIKqv/CEl9uJtX2zP0TGawtIy91ncpi2S1lECxwW316fJbs3GfAfQpBvcXWi2e/Etszchw9xGNb+xiI2b8dPcUS3ry0BzHfCc/n4PZ1fh2sy3rzbeNPnxXGzkFicyqdB8sHYE/IxnuinyAjIcsvYGZ5DCk3WM8QVkbbNv9C/H5tfC9WZUv4d6swv4vjg9+CyZzH/vCmDFtnCZ8vgkjFIJFIJDkh3xgkEolEIiAVg0QikUgEzCb7kUcywU1SlNC5uUCnz7S78jwGm9wDK1s8j8Hn8PLH3CbNWzAqWoud+cHnlCwbuk3tHIbCaunwdpopMfeEMW/HaW1v5zWEuM+B+xSqDG0rjM8v/EMY8zh667pOCov9N6WIsfW8ZDT32ziWEPM5cst70FqVzua1rFwrVxTGyVFiq05et0nrxEqCs9pX1rLyWlUO7LMOvOUs+z6F3x0AjaPoH7Auu87rMPHf9L9FMRMUO7kK9uaeZKRikEgkkhzJxZQEaUqSSCSS4oU5wyZ6yma+CCIVg0QikeSAQmYodt4Y7M09yUjFUEzRGPRwMGTaeG1q7TAbeHpcgvq3A2szyevb83pGvP0mt59TcuZ/rCzfhKLGoPN+Cw7cxszGRlZbh/sUeFy8tR/AptZOLjZq7lOoNLi1MLbJc7C6ThmJou2ctxHltni9t6f97dk15vPW52Zi/gde60frItYr4rkg3O7P/SPWfgCdgflSmC/E0cPN7ryhpKcw5rWTrH+LXA6eC2L53aUbxbyLXJFRSRKJRCKxRiETFMr5IcHe3JOMVAwSiUSSE0S5vDHIqCSJRCIpVkgfg6R4kWFSa/aYWL5AVm5BJs4Bfurf3K6fnmjfZmu8I+YHGHx9hLHF7q9oH9ijFcDBkHmM9AT78fzJ0XeFMfcTJF+/LYx5noN1j2jeo9kmd4DVPuJ5CrnlOVxdc0j9O8HKZwPYxtzzPAQOr7WkZb4UXkspOTqr9pVLgHgNeE6F8YaYx+Do5Skei/s/WO2r5BtZ19zM/Bc8D4H7O7SurCc09ynZ8W/Z+C9KZO+/MGvz9oSvmE1Q7EQlKTLBTSKRSIobZtjPVZBvDBKJRFKsUIig2PEj2Jt7kpGKQSKRSHIgMyrJjilJRiVJihKKow6aB/HvvJ6RjS3Yqp4/76vM8xZSb8cKY26j5rWSTBZbvtWTl8V+r3Oz34/BuYzor7DuOwAAhlJewljnLsboC7A4eNuaT8wHwWtGsSdHa58CAAR2b6j+fek70R5ukxvA+hLza6b3Ee36PBeB+0esv09eP4r7ZXQlRR+EI8tj4LZ8Ys5Xaz9Aeqo4l1tegtabnRerncR9J8Jx2e+Qb2u8m9kXxGQUf0O5UVydz3Zyvf8diqJg/fr1j3q3Bcazzz6LkSNHFrYY2bJs2TJ4enoWthgSSTGCHmIpeuRJMfTr1w+KotgsHTp0yC/5ClzRrF27FtOmTcuXfffr1w+dO3fOl31LJJJHj4ZMuS5FkTybkjp06IClS5cK6/S8fG4Bk56eDp0ujy37csDLyyv3jYoAlJYOs5JponBgpZN5uKR1+WQHVo468Wq0MOYhocnXbtmdjzuZ2VrSnF4PgB4gUs0V6fGiHDwEkZuWjHfjhDEvLWG8I7YZtS79wU0kvLw4DxHlYZ68zAUPSbU2H1Xo01yY4+U1NO7ib5mbc/h5cHMQLzVhbf7T+4nmGn4NM+LFfaezEibc7MVLtFvKrGRHWlxSjnMAkHBZDJVVNOJza0aC+Hnr0OekyGvCnFNpP2Fs+X4y0vJWEkMBQbHzVmBv7kkmz6YkvV4PPz8/YSlRokSO21+/fh2vvfYaSpQoAW9vb3Tq1AlXrlwRtlmyZAlq1KgBvV4Pf39/DBs2DABQvnx5AMArr7wCRVHU8ZQpU1C3bl0sWbIEFSpUgF6vBxEhMjISnTp1gqurK9zd3dG9e3fcvHlTPY7lcytWrED58uXh4eGBHj16ICEh6z8xNyUZjUa8//77CAgIgF6vR6VKlbB48WIAwP3799GrVy+ULFkSTk5OqFSpko3SzAuff/45atWqBRcXFwQEBGDIkCFITEy02W79+vWoXLkyDAYD2rZti6ioqH99TIlEkjMKspRD9kvR5JH7GKxJTk5Gq1at4Orqil27dmH37t1wdXVFhw4dkJaW+QQVGhqKoUOH4q233sLJkyfx66+/Ijg4GABw6FCmA2/p0qWIjo5WxwBw4cIFrFmzBmFhYTh+/DgAoHPnzrh37x527tyJbdu24eLFi3jttdcEmS5evIj169djw4YN2LBhA3bu3IlZs2bleA59+vTB6tWrMW/ePERERGDhwoVwdc18Qps4cSLOnDmDTZs2ISIiAqGhofDx8clxX7mh0Wgwb948nDp1CsuXL8cff/yB999/3+aaTp8+HcuXL8eePXsQHx+PHj165LhPo9GI+Ph4YZFIJA+Hhsy5LkWRPJuSNmzYoN4YLYwdOxYTJ0602Xb16tXQaDRYtGiRGsWxdOlSeHp6Ijw8HO3atcNHH32E//3vf3j33XfVzzVsmBnBUbJkSQCAp6cn/PzEV8O0tDSsWLFC3Wbbtm34+++/cfnyZQQEBAAAVqxYgRo1auDQoUPqPs1mM5YtWwY3t8zX7TfeeAM7duzA9OnTbeQ/d+4c1qxZg23btuG5554DAFSoUEGdj4yMRL169dCgQQMAWW84/xbrN5WgoCBMmzYN77zzDhYsWKCuT09Px/z589G4cWMAwPLly1GtWjUcPHgQjRo1stnnzJkzMXXq1P8kl0RSXFFghmInic3e3JNMnhVDq1atEBoaKqzLyS5/5MgRXLhwQb0JW0hNTcXFixdx69Yt3LhxA23atMmrGAgMDFSVAgBEREQgICBAVQoAUL16dXh6eiIiIkJVDOXLlxfk8ff3x61boh3cwvHjx+Hg4ICWLVtmO//OO++ga9euOHr0KNq1a4fOnTujWbNmeT4XC3/++SdmzJiBM2fOID4+HhkZGUhNTUVSUhJcXDLtzFqtVlVEAFC1alX1HLNTDCEhIRg1apQ6jo+PF64RABjvxLKxWGpC45gVCujgJNqUiYWvxp0+L4wNviWFcdp90fZu8M9sHWkJsSSy8nEwO3+KVWkHwNa+zRuq8LaTPJw1IznLvp4aI/4GdB6iLd7Rk5VYYOGtvNQ1L3NhbZvPrWT3hUXhwth4X3zL4z6g1Dvs2LwUhZU/JP7sVWGOXzODv/gAxn0rphTRJ8HbqyZdjMnaVxsWMnpT/P7MGeJ5uJQrK+7rSqQw1pdiv6XYLJ+SwU9sQcq/D1NKpq/ElJa3cFXk4mMoqlFJeVYMLi4uqqknN8xmM5566imsWrXKZq5kyZLQaP69Jctyo7RARLax5dms505qRVFgNmev9Z3YTZDTsWNHXL16FRs3bsT27dvRpk0bDB06FJ999tnDnobK1atX8fzzz2Pw4MGYNm0avLy8sHv3bgwYMADp6axPcjbnmd06INMnVNjBARLJk4pGIWiUnG/+9uaeZPLVx1C/fn2cP38epUqVQnBwsLB4eHjAzc0N5cuXx44dO3Lch06ng+khGntXr14dkZGRgiP2zJkziIuLQ7Vq1f6V/LVq1YLZbMbOnTtz3KZkyZLo168fVq5ciblz5+Kbb775V8c6fPgwMjIyMHv2bDRp0gSVK1fGDVbQDAAyMjJw+PBhdXz27FnExsaiatWq/+q4EokkZ+w7nnN7m3hyybNiMBqNiImJEZY7d+5ku22vXr3g4+ODTp064a+//sLly5exc+dOvPvuu7h2LTO8bMqUKZg9ezbmzZuH8+fP4+jRo/jyyy/VfVgUR0xMDO7fv5/tcQDgueeeQ+3atdGrVy8cPXoUBw8eRJ8+fdCyZUvB9JIXypcvj759+6J///5Yv349Ll++jPDwcKxZswYAMGnSJPzyyy+4cOECTp8+jQ0bNuSqhOLi4nD8+HFhiYyMRMWKFZGRkYEvv/wSly5dwooVK7Bw4UKbz+t0OgwfPhwHDhzA0aNH8eabb6JJkybZmpEkEsl/o7gqhjybkjZv3gx/f39hXZUqVfDPP//YbOvs7Ixdu3Zh7Nix6NKlCxISElCmTBm0adMG7u6ZNty+ffsiNTUVc+bMwejRo+Hj44Nu3bqp+5g9ezZGjRqFb7/9FmXKlLEJdbVgSYQbPnw4nnnmGWg0GnTo0EFQMv+G0NBQfPDBBxgyZAju3r2LcuXK4YMPPgAAODo6IiQkBFeuXIGTkxNatGiB1atX291feHg46tWrJ6zr27cvli1bhs8//xwff/wxQkJC8Mwzz2DmzJno06ePsK2zszPGjh2Lnj174tq1a3j66aexZMmSPJ9XWmw8SJ9ph3UqLeYWcDuyg3OWSY2Xy+ClB/TeOYcuZ0eWES/TFKYoiuo74HZ63sJSw3IqTIqYi8DLbmtdxZIYWuesPAen0qKNmuc15NQqUpWN5UxwP4B1mQuep8B9CsEDnxXGF5f+Je6L+TcUdh0cHMWxxuq68e8vg5VN53LzFqc6dzHwJDVa9M24V6uUNZe4W5SLtQ3VstIdqcwH4ejjLW7Pvj+Ys36XNq1YWbSQ9kHADBnz9iysAUFj5+Zvb+5JRiEqouUBJdkSHx8PDw8PdB68Ajp95n80rhiSo2KEcV4UA6/bkxuW5Ksvx7SEt4cB9+KNGPnVAQC2ioFjoxjYzTyNJZnZUwy8PhHfV243VF6fiN9ghV7I7ObKHbi5KYY05ozW6FmdIN7D20ox8LpYuSkG6+8+cwfi98sVg1ul8urfXzUSc3r6//ayMObXzMSVLQsu4NfN+rfGFQMPilCTJo3JWB/aC3FxcerDaXZY/p+8UaUZHB1yfn5OM2Vgxdm9ue7PmgULFuDTTz9FdHQ0atSogblz56JFixY5br9z506MGjUKp0+fRunSpfH+++9j8ODBD3Wsf0u++hgkEonkScbyxmBvyQs//vgjRo4cifHjx+PYsWNo0aIFOnbsiMjIyGy3v3z5Mp5//nm0aNECx44dwwcffIARI0YgLCzsUZxejkjFIJFIJDlgiUqyt+SFzz//HAMGDMDAgQNRrVo1zJ07FwEBATYpABYWLlyIcuXKYe7cuahWrRoGDhyI/v37/6vIx7wgy24XUxQHBygPTA4mFt+vdcvZ1KFzE80x3OzEP8v9FdwkY/EnqNG2iq2JIeuz9k1HvEwzr8tErIWpdZtSbmKxqRfFTBNcRr23Z7Yyq/uz8lHY1D5ipiFuOqr4pmhmuLxqn7hzZt7hvhWXcln+E5trYPAUxokXxPIqeh/RZ2TT8rRERWFsXUrb2ZOFhrPPclmcy/mzeZZDwfw81ufNf1dmdk0sPiCzJm9F7zSw//SclyfrtLQ0HDlyBOPGjRPWt2vXDnv37s32M/v27UO7du2Ede3bt8fixYsfaY04jlQMEolEkgOKQlDsvBVY5nipmezyh+7cuQOTyQRfXzHQwdfXFzEx4gOWhZiYmGy3z8jIwJ07d2wCgR4V0pQkkUgkOaAouS8AEBAQAA8PD3WZOXOmnX2yyr05JOfa2z679Y8S+cYgkUgkOaBRCA4PkfkcFRUlRCVlV23Ax8cHDg4ONm8Ht27dsnkrsODn55ft9lqtFt7e3tl+5lEgFUMxRefuCp0h09bN68rw+v7W9nZu1+fx+xrWpyD9vui/4PHlYCGJZDarfRW4P4NM4guujn3Wpu0kr/PD5gXfSS774mG5jiXEEFGbWkns2NbtOHk/BZucB5anwH0KQb2aCuMrP+wXj+XtwWTL2a5u5uVWtCzUlX2ffF8281bnYkxgbWDzkOsB2NbCsmndWjLrPNPjxLBb6xajQFbrTyVVlDc3NIqN68pmHgDc3d1zDVd1dHTEU089hW3btuGVV15R12/btg2dOnXK9jNNmzbFb7/9JqzbunUrGjRokG/+BUCakiQSiSRHlIdY8sKoUaOwaNEiLFmyBBEREXjvvfcQGRmp5iWEhIQISa2DBw/G1atXMWrUKERERGDJkiVYvHgxRo8e/QjOLmfkG4NEIpHkgIOG4KDJ2ZTkkMf84Ndeew13797Fhx9+iOjoaNSsWRO///47AgMDAQDR0dFCTkNQUBB+//13vPfee/jqq69QunRpzJs3D127dv13J/SQSMUgkUgkOfCwpqS8MGTIEAwZMiTbuWXLltmsa9myJY4ePZr3A/0HpGIopqQnJAFpmU87Bharzu3lxjtZxQudA8R6/fZKPwCAroRo79Z752CHVSy1kjTQPYjz53Z/DjF/BS+LwHsGa11FG7e1LyUpSiztwMtKcL+Lja+F1XHSeon9G6zLN/B98X4KvPYRz1PgPoXyrzcRxrz2kvX3yXtU8HIcxmixoq9bpXLCmPt9Um6KhS31JXK2s5uNzMfD8hp4v2gum8VPYMGUmvXb07Drnx4vtsS1/E4zjPb7TnOsI49ymi+KSMUgkUgkOeCgyVxynC+ileakYpBIJJIcyA9T0pOAVAwSiUSSAxrkohgKTJKCRSqGYoqDkx4O+kybe0qMWFvHzGrSOJXNSr5JvXlPmEu7HyuMde6ibV3DEn14z2eL7ZfXzQGA5BuiXIZSoi+E9zbmJaR5me30BCMbZ23Pj68xiP81Um+JtnSbvgXML8PzHqzt6Y4e4jXi58H7KfDaRzxPIbd+Dmc+y4qDN6WI34eO1W1yKl9eGFtfIwBIviba7rk/xLq+kUbHfARO9lvM8h4X/LqYjeL3Z50XkZEo+g60ruJ5WXpupxvF88kNTS6mpP/QnfixRioGiUQiyQHpfJZIJBKJgPQxSCQSiUQg16gkaUqSFFUcvTyFsU2/Y6vaPby/gktgGWHM69k48JaY7PMWP4Aas06k2u+5/dumTg+zxdvWbbKfD2Bd35/X5eE1gPh5aVnLS56bkBwt9i+2zu8wZ3B/RM6tOAGxnwJgex24f8PapwAA1Ue/pP59eWX2df8tJF84L+47IFAYu1UMEMaKVrwzWteBMqeL15v7DFIirwljpwDxt2TT+pPVUlKsck24T4HnPKj7YqW7ckOjKNDYsRfZm3uSkYpBIpFIckD6GCQSiUQioHXIXHKclwlukqKExlGnlnFQWPkHbi5yLOFp9bcYasnDT3nbSm464mUOVBOMJe7PQaOGY3ITCf8sN+/YbM9METoWvuromTXPSztw0xAf61xEs5WJha+6BIhtRVNissJ89X5i2Yj4s1eFMS8rkl0orzW8zAUPSbU2HwX1bibMnV/4hzD2atJIlEXP2qmy81QyxO9EsTKL8XBV/v25Vq4gjHkIMC+RAXiKsnFToRWUIV4zy29c0eSt7LaiKHlqolNUkIpBIpFIckBGJUkkEolEQOMAONh5ybBTkfuJRioGiUQiyQFpSpIUL8ykhg9qtLx0AbOfW4Wv8paV3G7PQzG53Zj7M5KvZZa7powH+zWbkXYv02+RniCWX3Dy9xHlZCGJPByVz6ewshYuZXxy3NacJp5H/Omzwti1ckXx2CwUU9HlXLY7I0n0u0ARfSG8tIeDwVM8FG/HyewZPMzXGu5TqDS4tTA+OXWNMHYqI/pKeFmL5CixH7FLoL+VnOyasPNMjxO/X0dWspvfdHkZ9rS4LP8WDzfmD/IW/xP/feZGca2VVFTP67FgypQp8PX1haIoWL9+fbbr+vXrh86dOxeqnBKJJHscHJRcl6JIoSmGnG6I4eHhUBQFsbGxBS7Tw5CSkoLJkyejSpUq0Ov18PHxQbdu3XD69Glhu4iICEydOhVff/01oqOj0bFjx2zXffHFF9l2bZJIJIWPxflsbymKSFNSHjAajXjuuecQGRmJ2bNno3Hjxrh58yZmzpyJxo0bY/v27WjSJLOb1sWLFwEAnTp1Ul+Js1un19uvOCmRSAoPRWNj6bOZL4o8EYohLCwMkyZNwoULF+Dv74/hw4fjf//7nzpfvnx5DBw4EOfOncPatWvh7e2NefPmoVmzZhg4cCB27NiBoKAgLF26FA0aNFA/t3fvXowbNw6HDh2Cj48PXnnlFcycORMuLtnbaOfOnYt9+/bh2LFjqFOnDgAgMDAQYWFhaNy4MQYMGIBTp05h6tSpmDp1KgBA8yA+f/LkyTbriAj9+vVDbGysamoym8349NNP8e233yIqKgq+vr54++23MX78eADA9evXMWrUKGzduhUajQZPP/00vvjiC5Rn5ZJzw3j3PsyOmXkAWjcxRp+XMDanZfkYdB45t24EgIzkFLvzNm1Dbz7wMZgz487JZIbxbqYvQF/SS9g26Wq0MObzNqU8+DhZtN3H/XNF/du5jFh2wngvThg7B4mlIZKjxBaYWhfR12K8Ic7rSmbZ6jPi44U5g7/9dqmJF6KEscIyrng7Tl4627rMBc9T4D6FWpO7C+OIzzcK4/jT/whjmMV8AeucC1Md0dLPW6umxLB2qix/g5fA4C1ordt38t8Vz/2wlANPT8tb2W0HjQIHO68F9uaeZB57fXfkyBF0794dPXr0wMmTJzFlyhRMnDjRxvwyZ84cNG/eHMeOHcMLL7yAN954A3369EHv3r1x9OhRBAcHo0+fPqAHDsqTJ0+iffv26NKlC/7++2/8+OOP2L17N4YNG5ajLN9//z3atm2rKgULGo0G7733Hs6cOYMTJ05g9OjRWLp0KQAgOjoa0dHR2a7LjpCQEHz88ceYOHEizpw5g++//x6+vpk3reTkZLRq1Qqurq7YtWsXdu/eDVdXV3To0AFpaWnZ7s9oNCI+Pl5YJBLJw2F5Y7C3FEUK9Y1hw4YNcHVlTdZZQ/fPP/8cbdq0wcSJEwEAlStXxpkzZ/Dpp5+iX79+6nbPP/883n77bQDApEmTEBoaioYNG+LVV18FAIwdOxZNmzbFzZs34efnh08//RQ9e/bEyJEjAQCVKlXCvHnz0LJlS4SGhsJgEJ9uAODcuXNo1apVtudSrVo1dZu6devC09MTAODnl/U0mN06axISEvDFF19g/vz56Nu3LwCgYsWKePrppwEAq1evhkajwaJFi1RT1NKlS+Hp6Ynw8HC0a9fOZp8zZ85U31QkEkneKK5F9ApV37Vq1QrHjx8XlkWLFgnbREREoHnz5sK65s2b4/z584ISqV27tvq35Qm7Vq1aNutu3cp8fT1y5AiWLVsGV1dXdWnfvj3MZjMuX76c53OxvIn8l7jmiIgIGI1GtGnTJtv5I0eO4MKFC3Bzc1Nl9vLyQmpqquq/4ISEhCAuLk5doqKist1OIpHYYklwy2nJY4WNJ4ZCfWNwcXFBcHCwsO7aNbEULxHZ3GyJbNMNdbos+6Rl++zWmR/YRM1mM95++22MGDHCZl/lypXLVl7L20p2/PNPpu21UqVK2c4/DE5OTnbnzWYznnrqKaxatcpmrmTJktl+Rq/XZ+vg1rm7Qqd3efC36FPhtXfS7meZn3i8fzrzRyis16FGL27PY9Et8ecaSy0brQOcA/we7IvlVwSIb1q8pDe5sVh2Zmd2LiPmQSReyYrB5+fF7ds6D/HN1qm06JPg15CXMreuIZXOW1jyMtrsrVnPbOu8TLdbJfH3yttxWpfO5rWPeJ4C9ylUG/WCMOZ5EPz7t85F0Op4foaYv+FcNvs3Z1VW9v1yXIOyynTz9qf8s1qnzBpfGqP9fXJkgttjSvXq1bF7925h3d69e1G5cmU42MtVz4X69evj9OnTNorJHj169MD48eNx4sQJwc9gNpsxZ84cVK9e3cb/kBcqVaoEJycn7NixAwMHDsxW5h9//BGlSpWCu7t9J7BEIvnvFNey24+96+R///sfduzYgWnTpuHcuXNYvnw55s+fj9GjR/+n/Y4dOxb79u3D0KFDcfz4cZw/fx6//vorhg8fnuNn3nvvPTRq1AgvvfQSfvrpJ0RGRuLQoUPo2rUrIiIisHjx4v/0BGEwGDB27Fi8//77+O6773Dx4kXs378fixcvBgD06tULPj4+6NSpE/766y9cvnwZO3fuxLvvvmvzpiWRSP47DppcEtyKaFTSY//GUL9+faxZswaTJk3CtGnT4O/vjw8//FBwPP8bateujZ07d2L8+PFo0aIFiAgVK1bEa6+9luNnDAYD/vjjD8ycORMffPABrl69Cjc3N7Rq1Qr79+9HzZo1/5NMADBx4kRotVpMmjQJN27cgL+/PwYPHgwAcHZ2xq5duzB27Fh06dIFCQkJKFOmDNq0aSPfICSSfECjUaCxc/O3N/cko1B2BntJkSU+Ph4eHh7oMXkTHA2Zdm/enpHbqK1r3PBY9IRzYi8Bg7/o6+DtHLnfwOIH+HJMS3h7GHAv3oj3FhwEkE1dG/Y2xuvx8x4JHN4y07oNpQPzq/B6RsTi9TXMjGnTstQpZ1mM98WQYd7/QufOej8w/wX3nei9xB4ZCRevC2Pn0lnfiU0/Bdaz4v7hE8LYrUplYcxrK0WtOyqMjXezzu2bFiuFucH7+sEe/Heo0YrfL/fNWH///Jrk1MsjLTUJa6a/hLi4OLsPU5b/JytffwbOjjk/PyenZaD3D7ty3d+TxmP/xiCRSCSFRW71kIpqrSSpGCQSiSQHiqvzWSoGiUQiyQEZriopVphSU5FBmXZy3luX17ZPi82qSeOoFe3f3KfA+y0oCvMxMDuyGZm24Oz+e3Ebs86D9X4wsrpLrP807xWRcFmsKWQolVVriVjuAM8VMN4T/S62fZbFvAc96y1AlGUD59eX+11So8UaQo4lxN4PXDber1ph1836mvMezbyfAq99xPMUuE8h4JX6wvjyqn3q3zon1kuc1a7ifh3u70jnfSlYLwgHK59RWpwoJ/c/8e/3YZGmJIlEIpGI5FYP6bEP+P93SMUgkUgkOSB9DBKJRCIRkKYkSbFC0TjY+AMsWPsUAEDnlmWrz2C2dF6Thsf3p8SINWx43R/zgzpBFk8EEWXZlnN5HOMx+dzun3xDPDav529KzjqXNKN4Xg6svlQG6z/N7eH8OvBjW9vHuU8n6aJo53evJtbb4t8H79dg489g9nTrfA3ei9q6R3PmZ0UfA+/DbJ2nAIg+BQAI6tU061jXlsEe3OeQFiuO+XmkxYo+JOvryL+PNJYrYn5Q+yqv/RgU5OJ8ztY79uQjFYNEIpHkgOzgJpFIJBIBaUqSFCsWtguDu2tmqemMNFbugYVP6gxZ5gczK3FhzhDHGq1id17rKD5iGZMzQ04dDY0AGOBlSMHyF38GAJjSxc866BT2WdHU4OQu/pz5sbns1ufJj6UwK5uZzfNKMtbXKLtjpaeK19gaQxtR7tREsZqwsycr5ZHASoUwNOw6Wctubw7Iph0nK53NS5zwkFRr89FHZb8W5r57ebAoJ/udpaey8uNm+9V6HKzCcLlcHMu+4pPSUGq53U0FMp3P9vIYHn5fTxJSMUgkEkkOSFOSRCKRSASkKUkikUgkAopGsclM5/NFEakYiilDdr2ult02+IghiRnJxhzHfFteioCXqeAYSnlk+/nZtVzgpQfupRjwzuqOAAC34ABRDtYakrfA5GUQeOkIeyXAtc5imWx+Xik3xDIVDqysNg+95OGrhpKeOe7bePOOuG8XsZQHD8XkxzYbWakJVjrC+rz5jUxhthBeVp1fc9sWqOKxreE+hWmlFwpjHupqQy4dAayvse15Mf9FQmbJ7rTUJAAr7B9X2I9McJNIJBKJFYqDAo0dc5FSRE1JRdR1IpFIJP8djaKoXdyyXfLxleH+/ft444034OHhAQ8PD7zxxhuIjY21+5l+/fqpFWEtS5MmTfJ8bPnGIJFIJDlQmKaknj174tq1a9i8eTMA4K233sIbb7yB3377ze7nOnTogKVLl6pjR0dHO1tnj1QMxRRzWjrMmszSCkmRrHwDKy1hXSbBeF8sz8DLTfMyGxmsHaONX8CyvZU52bIPe/ZrAHD0EFte2rRzZLI4GLIvAQIAGj1rI8nam/K4RF4yw9FDbK/Jy3XwshbWmDNYaQ/mU7BpW5lLe05OSuQ19W/XyhWEufQ4Ua6UGNGX4lzWz+6++W/F+jvjeQr2ymcAwNXVB8V9O7Ebmh0/AveFmPjv7MH3q6G83fI0Wg002pyvr725/0JERAQ2b96M/fv3o3HjxgCAb7/9Fk2bNsXZs2dRpUqVHD+r1+vh52f/e8sNaUqSSCSSHLC8MdhbgMwe0daLkdXeyiv79u2Dh4eHqhQAoEmTJvDw8MDevXvtfjY8PBylSpVC5cqVMWjQINy6dcvu9tkhFYNEIpHkgF3/woMFAAICAlRfgIeHB2bOnPmfjhsTE4NSpUrZrC9VqhRiYmKy+UQmHTt2xKpVq/DHH39g9uzZOHToEFq3bp1nRSVNSRKJRJIDmlyikixzUVFRcHfPCuXWM1OjhSlTpmDq1Kl2j3no0CEA2ZfiICK7JTpee+019e+aNWuiQYMGCAwMxMaNG9GlSxe7x7VGKoZiis7VGTpDZrw8b7fJY9lTosXWkdZYx+cDQHqi6FNwdBRt73pvZotPevAk8+DJS3FwgEtApn2Ul/jWuohyWWLTLfC8BZ7XoGjF+bS7WWWcuR3futR4dvPc3s39Ifwaar2zbhq8xahLubLCOJXlNTiXE0tjm1JZiXBWxpv7dZwCyqh/c/8EL6vN8y84/LdiU+7aqnQ2r33E4T6FwB6NhPGN308KY3v1kPhvhd886cH3ZSnz/rA8bEkMd3d3QTHkxLBhw9CjRw+725QvXx5///03bt68aTN3+/Zt+Pr65nocC/7+/ggMDMT58+cf+jOAVAwSiUSSI48689nHxwc+Pj65bte0aVPExcXh4MGDaNQoU2EeOHAAcXFxaNas2UMf7+7du4iKioK/v3/uG1shfQwSiUSSAw4aRa2XlO2STyUxqlWrhg4dOmDQoEHYv38/9u/fj0GDBuHFF18UIpKqVq2KdevWAQASExMxevRo7Nu3D1euXEF4eDheeukl+Pj44JVXXsnT8aVikEgkkhywvDHYW/KLVatWoVatWmjXrh3atWuH2rVrY8UKsZzH2bNnERcXBwBwcHDAyZMn0alTJ1SuXBl9+/ZF5cqVsW/fPri5uWV3iByRpqRiCpEZRJl2c1OyaHe2qSlkZUcmZqM1pbB2jHye2bRtWkc+yEVQ/3uRGWnxmbWE0uPFGHutixibzVs/apgPguc18BpFek9Xqw+L/8F53oGNfyNe3Bf3tdjY6q32r2jE57GkK5HC2NHHWxjz89S6OAljfnOy9/1xfwS3xXP/hU3rVi3L90gU8z2sZbXpp8BqH/E8Be5TKP18LWF89qttwtjaD6Rl9aHMGeJ3r7PkvIjul1wpzAQ3Ly8vrFy50u421n1BnJycsGXLlkdybKkYJBKJJAc0WgUOWjtRSXbmnmSkKekhya4GiaIouHDhQqHJ07lz50I5tkRSXChMU1JhIt8Y8gCvQQIAJUuWzPN+0tLS/lX9EolEUrDIstuSXMmpBsnOnTsxZswYnDhxAl5eXujbty8++ugjaB/YY5999lnUrFkTjo6O+O6771CjRg3s3LkTZ86cwejRo7Fr1y64uLigXbt2mDNnjhrO9vPPP2Pq1Km4cOECnJ2dUa9ePfzyyy/49NNPsXx5ZuNai434zz//xLPPPvvQ55J2Lx6kz7QHG3w8hbmMJLHujM5NtGlbYxNbnssTFLf7U0amDOpeFEW15/Pj2jydcfs46yPhWMJVGPPeA4pj1s8/9Vas+FlP8bO59VvgPgneE8E6pyIjgfk6SokPF1pXMYfCZBT9NLxfBu+RYGZZrqLfwFOY0zF/hcGnBOyRznIk+HmmxSbgocnFN8J9ClWGthXGUeuOWh3Xfv8MvXfmeaUbxe1yFbGQaiUVNkXzrAqQ69ev4/nnn0fDhg1x4sQJhIaGYvHixfjoo4+E7ZYvXw6tVos9e/bg66+/RnR0NFq2bIm6devi8OHD2Lx5M27evInu3bsDAKKjo/H666+jf//+iIiIQHh4OLp06QIiwujRo9G9e3d06NAB0dHRiI6OzjG22Wg02tRxkUgkD4dGk/tSFJFvDHlgw4YNcHXNepLs2LEjKleujICAAMyfPx+KoqBq1aq4ceMGxo4di0mTJkHz4JcTHByMTz75RP3spEmTUL9+fcyYMUNdt2TJEgQEBODcuXNITExERkYGunTpgsDAQABArVpZURpOTk4wGo25VlGcOXNmrin4EokkexQodktQKCiatqQiqu/yh1atWuH48ePqMm/ePERERKBp06bCj6d58+ZITEzEtWtZ5Y4bNGgg7OvIkSP4888/4erqqi5Vq1YFAFy8eBF16tRBmzZtUKtWLbz66qv49ttvcf9+zqUpciIkJARxcXHqEhUV9S/PXiIpfmi0Sq5LUUS+MeQBFxcXBAcHC+uyK2pliS22Xu/iwnoHmM146aWX8PHHH9scx9/fHw4ODti2bRv27t2LrVu34ssvv8T48eNx4MABBAUFPbTMer0+24JehlIl4OiU+fbD7f5O/qKd2WhVU0jD+y3kUqOG1+Zx9hdj9NXPW8VjW3IddO6inZ/7ATJYDL2Tv1hqgPdU4H4Da7+Ans1lMJ8Cv0YOetHHwG3t9voVG3xFOdNi48QNzMynw/ZlKCn2zTaliteY94S27kvB60elxYk+AZ474hpURhjzHgs218EqT8KB2d+5X8bekzhgW6/K2qcAAAGv1Ff/vrAoXJgz+Iq/M0v+hQnitcoN6wqqOc0XReQbw3+kevXq2Lt3r5BosnfvXri5uaFMmTI5fq5+/fo4ffo0ypcvj+DgYGGxKBFFUdC8eXNMnToVx44dg6Ojo5r+7ujoaNOMRCKRPFosRfTsLUWRInpaBceQIUMQFRWF4cOH459//sEvv/yCyZMnY9SoUap/ITuGDh2Ke/fu4fXXX8fBgwdx6dIlbN26Ff3794fJZMKBAwcwY8YMHD58GJGRkVi7di1u376NatWqAciqwHj27FncuXMH6el5exKSSCS5k2ku0thZiuYbgzQl/UfKlCmD33//HWPGjEGdOnXg5eWFAQMGYMKECXY/V7p0aezZswdjx45F+/btYTQaERgYiA4dOkCj0cDd3R27du3C3LlzER8fj8DAQMyePRsdO3YEAAwaNAjh4eFo0KABEhMT8xyuGn/uKnSOma/qjl6ewlxKzD1hbG1+0LmLJjFe4jntbqww1nmKNVoSI8VSwi4BD5qRWMwKBOBB2GLK9bvCtumJYqihzlWUJfm62KLUkR3bbMy59EfKLdF/w81O3CSmdRbNNbzFKQ9vtQ4pTbJqtQkABj+xjLJN+1NmgkmPE01kGmbOyWDXScuukzDHwlW5yYxfU0MpL2HMy4wI5VN4aQ5mduHtOG3KrNuEworHsjYfBQ98VpjjJb1T72aa6zKMeauJIfMYJHZZtmxZjnMtW7bEwYMHc5wPDw/Pdn2lSpWwdu3abOeqVaumNgHPjpIlS2Lr1q05zkskkv+OkouPQWY+SyQSSTFD42A/8shed7cnGakYJBKJJAcedaOeJwWpGIopzgH+cDRk2p4tpa8t8BIM1iWmtc6svDGzvbuw8Ea+PUe1UVvs0YqSZY/n/+nYmIdeuvmL9m9LuQ0LvBVoRkqWjdvGp8DKhyssTJeXwubXzLGE6N+wltWptJiUyO36ILE0udmmXLV4TW3KkzOfgrV/gzLEffOgWl4Wnfs3uKw24a/3c86stynxza6hTagzK53Ny1xYh6Tm1ib0/MI/MuVl32Nu5JbdLDOfJRKJpJhRXGslScUgkUgkOZBbrkJRzWOQikEikUhyoLhmPkvFUExxcNTB4YH92CYWnf3Y9d7u6t/c9q5ntnSeD8B9ELxEtFqKQj0mqS1HNTpuD7bfwyI9kfkQWPlwJ1+x1IditX9uW+d5CI7uOecCZB5LPDb/vPFulu2d5xmYUsTPal1FfwcvcWFTZjstZ58QIOYWcF+JTRl03kbUSfx+bdqIsu3NViW+eWtP7uPR6MXbD7F965jvy1I6W/28VZtRS56CBYtPwUKlwa0zt0uIB2bhocmtHpJMcJNIJJJihqLkEpVURDPcpGKQSCSSHJCmJEmxwFLsLz01y9xgYqYI/oRk1mSZG8wsBJTXg+IdshST+BNzYNUtzQ/G8fHx0JodEZ9gRFpq9l22uBmLY20yAQBTqmhKckhhpSWs51lIqNj1DDCZxc9y0o1imQqzlu3PmHWsjDRxW1OaKCcZxfMwa1hYZyqrcMuuOZcFVqeiaJgpiYWEpjPZNEZ23hn2va3Wn49PEs1p/HvVkPjbsPl+WfUK/tuyrpTKS13wsNTUhExTnjEx81+yU/3WmkRjul1zUaKxaNYoU+hhr5CkSHDt2jUEBAQUthgSSaESFRWFsmXL5jifmpqKoKAgxMTE5LovPz8/XL58GQaDIddtnxSkYihmmM1m3LhxA25ubo/MPhofH4+AgABERUXB3d099w8UII+rbI+rXMDjK9ujkIuIkJCQgNKlS9utfgxkKoe0tDS72wCZJfCLklIApCmp2KHRaOw+Kf0X3N3dH6sbiTWPq2yPq1zA4yvbf5XLw8Mj940AGAyGInfDf1iKaHqGRCKRSP4tUjFIJBKJREAqBsl/Rq/XY/Lkydn2li5sHlfZHle5gMdXtsdVrqKIdD5LJBKJREC+MUgkEolEQCoGiUQikQhIxSCRSCQSAakYJBKJRCIgFYNEIpFIBKRikEgkEomAVAwSiUQiEZCKQSKRSCQC/wfERwoHu3gRKgAAAABJRU5ErkJggg==",
"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": {
"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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aisOHDwuuZPojvTYd/k4qrLl90aFj8Zut2+A2lDvX9evXSSQSUWZmZp/lBtKGcuTIEfL29qZ///vfxnlFRUUkl8v7nDIyMoiISK1Wk1gspoMHD5q814oVK+jBBx/ssR43btwgACQWi42TSCQyzissLDQp39raSpcvXyadTkerVq2iqKgoIiLKz88XrAcAiUQiEovFZrWJdHR0UKyklP4nSGnTNhS+QmFWM2rUKMycORM7duzAihUrBO0oN2/eHHA7yvTp0xEdHY2MjAy89957APp3y+Pi4oKYmBgolUokJSUZ40qlEomJiT0u6+npiTNnzpjMy8rKwl//+lfs378fISEhJjGZTAZ/f39oNBocOHDAeHv28MMPC9azZMkSRERE4PXXX4fYMIrXbcipBSqy3TeNAb7lYVaWlZWFKVOmYNKkSdi0aRPGjx+Pjo4OKJVKZGdno6KiAgDQ1NQkaLtwc3ODp2fvn7N49dVXMXfuXKxatQr+/v79vuVZuXIlFi5ciNjYWMTFxWHnzp2orq7G8uXLjWVWr16NK1eu4LPPPoOTkxOio6NN1uHj4wOZTGYy//vvv8eVK1cwceJEXLlyBRs2bIBOp8OqVasAAB4eHoL1yOVyeHt7C+b3RU7NUOnGml1+KPBTHmZVISEhOHXqFOLj4/Hqq68iOjoajz76KAoLC5GdnW0st27dOigUCpPJcAL25oknnkBwcDAyMjIGVLfk5GRs374dmzZtwsSJE1FUVISCggIEBQUZy9TV1aG6urpf621ra8OaNWsQFRWFpKQk+Pv749ixYwO+GuuNXNeMVhp4G4wliIisO/J5Y2MjvLy80NDQ0Od/G8aY+bTt7SiUPoH/mz0PK75aYvZtkrnMPW/5locxR6BSIQFKeEdNtGk1+JaHMUegUuF/8TMoL91r02pwQmHMEahU+BJP4reHn7BpNTihMOYIWlogRwvaNC42rQYnFMYcgUoFN6jQ1m7bZlFOKIw5ApUKcrRAqxOjvd121eCEwpgjUKngh1pE3XWVEwpjbJBUKjyCQvz2zb/C3d121eCEwpgDEKlUAIB2Zyl0OtvVgxMKY45ApUKJ0yQ8OTcJ3b5naFWcUBhzBCoVpFJ9h00tLbarBicUxhxBSwtkLh0AgFt3PzbBCYUxR6BSQSrlhMIYs4TWVrjI9K2xKtXtu9gcKpxQGHMEKhWkMh1+//tCzJlj1R5JTHBCYcwRtLRAJ5NCoVChhxFKrIYTCmMOQKRSQSuV4sMPo3HwoO3qwQmFMUegUkErk+HkSV+UlXEbCmNsMFQqaF1cIJVq+XMojLFBunXLI5Vq0dpqu2oMKKFkZWUhJCQEMpkMMTExKC4utnS9GGP9cSuhyGQd9nWFsnfvXqSlpeGNN95AWVkZpk2bhlmzZvV7aAHGmAXdakN59NEaPPWUHT023rZtG55//nksW7YMkZGR2L59OwIDA03GVGGMWVlLC7RSKeLjL+PJJ21XjX71F9fe3o7S0lKkp6ebzE9ISMDx48d7XEatVkOtVhtfNzY26n/ZuRNwde1ndRljPWpuhlYqxY8/euA3vxFh3LjOUFgY8NhjQHMz8OmnwkWXLwfEYiA/H6itNY3FxwNRUUBDg3nV6FdCuXbtGrRaLXx9fU3m+/r6CoaNNNi8eTM2btwoDPzmN0Avo9ozxvrJxQXNAQEoKxuD3FwnuHTpq/qpp/QJ5eZNYOVK4aLLlukTSlYWUFRkGsvO1ieU69fNq8aAerQVdUsERCSYZ7B69Wqs7LIVjY2NCAwMBK5dA3jkQMYsQqfV4lpBAZ6ccAk7d0b0OHJgQADQ5WZBQKnsPRYaal49+pVQRo8eDbFYLLgauXr1quCqxUAqlUIqlRpfG0Y+Nd76MMYGTavVQnXra8aNjY1DMhQp0Hn+9qZfCcXFxQUxMTFQKpVISkoyzlcqlUhMTDRrHU1NTQCgv0phjNmVpqYmeHl59Rrv9y3PypUrsXDhQsTGxiIuLg47d+5EdXU1li9fbtbyfn5+qKmpgYeHR6+3SZZmuM2qqanhAdqtjPe9bVh6vxMRmpqa4Ofn12e5fieU5ORkXL9+HZs2bUJdXR2io6NRUFCAoKAgs5Z3cnJCQEBAf9/WIjw9PfmP2kZ439uGJfd7X1cmBiK63U2RA2hsbISXlxcaGhr4j9rKeN/bhq32O3+XhzFmMXdEQpFKpVi/fr3J0yZmHbzvbcNW+/2OuOVhjFnHHXGFwhizDk4ojDGL4YTCGLMYTiiMMYux24TS317jduzYgcjISLi6uiI8PByfffaZoMzNmzeRkpIChUIBmUyGyMhIFBQUDNUm2KWh2O/bt29HeHg4XF1dERgYiFdeeQVtbW1DtQl2p6ioCHPmzIGfnx9EIhG+/PLL2y5z9OhRxMTEQCaTITQ0FB9++KGgzIEDBxAVFQWpVIqoqCjk5+cPvrJkh/Ly8kgikVBOTg6Vl5dTamoqyeVy+vHHH3ssn5WVRR4eHpSXl0cXL16kPXv2kLu7O3399dfGMmq1mmJjY+nxxx+nY8eOUVVVFRUXF9Pp06ettVnD3lDs9y+++IKkUint3r2bKisr6dtvvyWFQkFpaWnW2qxhr6CggN544w06cOAAAaD8/Pw+y1+6dInc3NwoNTWVysvLKScnhyQSCe3fv99Y5vjx4yQWiykzM5MqKiooMzOTnJ2d6cSJE4Oqq10mlEmTJtHy5ctN5kVERFB6enqP5ePi4ui1114zmZeamkoPPPCA8XV2djaFhoZSe3u75SvsIIZiv6ekpNBDDz1kUmblypU0depUC9XasZiTUFatWkUREREm81588UWaPHmy8fW8efPoscceMykzc+ZMmj9//qDqZ3e3PIZe4xISEkzm367XOJlMZjLP1dUVJSUl0Gg0AICvv/4acXFxSElJga+vL6Kjo5GZmQmtVjs0G2Jnhmq/T506FaWlpSgpKQEAXLp0CQUFBZg9e/YQbMWd4e9//7vgOM2cORMnT5407vfeyvR2LM1ldwllIL3GzZw5Ex999BFKS0tBRDh58iRyc3Oh0Whw7do1APo/5P3790Or1aKgoABr1qzBO++8g4yMjCHfJnswVPt9/vz5ePPNNzF16lRIJBKEhYUhPj5e0M0oM199fX2Px6mjo8O433sr09uxNNeAemwbDvrTa9zatWtRX1+PyZMng4jg6+uLxYsX4+233zZ2RKPT6eDj44OdO3dCLBYjJiYGtbW12Lp1K9atWzfk22MvLL3fjxw5goyMDGRlZeH+++/HhQsXkJqaCoVCgbVr1w759jiqno5T9/n9OZbmsrsrlIH0Gufq6orc3FyoVCpUVVWhuroawcHB8PDwwOjRowEACoUC99xzj0lPV5GRkaivr0d7e/vQbZCdGKr9vnbtWixcuBDLli3Dz372MyQlJSEzMxObN2+GTqcb8u1yRGPHju3xODk7O8Pb27vPMr0dS3PZXULp2mtcV0qlElOmTOlzWYlEgoCAAIjFYuTl5eGJJ56Ak5N+FzzwwAO4cOGCyR/x+fPnoVAo4NK1x9871FDtd5VKZfzdQCwWg/QPDCy7EXeIuLg4wXE6fPgwYmNjIZFI+ixzu2N5W4Nq0rURw+PLjz/+mMrLyyktLY3kcjlVVVUREVF6ejotXLjQWP7cuXP0+eef0/nz5+n777+n5ORkGjVqFFVWVhrLVFdXk7u7O7300kt07tw5OnToEPn4+NBbb71l7c0btoZiv69fv548PDxoz549dOnSJTp8+DCFhYXRvHnzrL15w1ZTUxOVlZVRWVkZAaBt27ZRWVmZ8XF99/1ueGz8yiuvUHl5OX388ceCx8bfffcdicVi2rJlC1VUVNCWLVvu3MfGREQ7duygoKAgcnFxofvuu4+OHj1qjC1atIimT59ufF1eXk4TJ04kV1dX8vT0pMTERPrhhx8E6zx+/Djdf//9JJVKKTQ0lDIyMqijo8Mam2M3LL3fNRoNbdiwgcLCwkgmk1FgYCD96le/ohs3blhpi4a/v/3tbwRAMC1atIiIhPudiOjIkSN07733kouLCwUHB1N2drZgvfv27aPw8HCSSCQUERFBBw4cGHRdufsCxpjF2F0bCmNs+OKEwhizGE4ojDGL4YTCGLMYTiiMMYvhhMIYsxhOKIwxi+GEwhizGE4ojDGL4YTCGLMYTiiMMYvhhMIYs5j/B8m35esD/ejpAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"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": {
"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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M27FjBwYMGKB937dvX9jY2KCsrAxqtRodOnRATEyMtrxXr17Iysqqcz2tWrUCAPz111+orq5Gu3btdMrbtWuHq3UMw3D16lWD81RVVeGvv/6Ch4cH/P39sXbtWnTv3h3FxcVYvHgx+vXrh99++w1d/nkeq0+fPvj222/RtWtX/PHHH/jwww/Rt29fnD59Gq1bt66zDezBcIIxA4UC2LdP9BfzQK5fFwNoR0SA/umbU1KPXuymT5+O+Ph4nWme91ze2rhxI/z9/ZGbm4spU6ZgxYoV2oQBAPb29ujcubNR4d4bGxHdN15D89ScHhoaitDQUG15v3790LNnT3zxxRdYsmQJACAqKkpb3r17d4SFhaFTp05Yt24dpk2bZlQbmHE4wZjJY481wkJ+/110PNOrF7qUlEAikSAnJwfPPPNMnbO5ubndNzl4e3ujS5cu6NKlCxwdHTFs2DBkZ2ejbdu2AMQhUs0vriEzZszAjBkz4ObmBltbW729lWvXruntodTk7u5ucB47O7ta9zxsbGzw2GOP4dy5c7Uu18HBAd27d6+zDmscnGDMaNw4oHVr0bWm0YhEggkIAKRStGrVCpGRkVi6dCneeOMNvfMwN27caPB5mPDwcDzyyCOYN28eFi9eDMC4QySZTIaQkBDs3bsXzz77rLZ87969iI6OrnX+sLAwvcvje/bsQa9evXTOB9VERMjKykL37t1rXW55eTlycnLQv3//OuNnjaCRTzjfF19FumvGDCJHR6J/LvDouO9VpMuXiRITifLytJMuXLhA7u7uFBgYSJs3b6bc3FzKzs6mxYsXa6/G+Pj40Ny5c6moqEjnpdkehq4iERFt376d5HI5Xb58uUFtTUpKIqlUSqtWraLs7GyaMmUKOTg4UH5+vrZOQkICxcXF6bSnRYsWNHXqVMrOzqZVq1aRVCqlzZs3a+vMmTOHdu3aRXl5eZSZmUmjR48mOzs7+uWXX7R13nzzTTpw4ABduHCB0tPTafDgweTk5KSzbla7B/nOcoIxo6IiIpmM6KOP9Mvum2B27iT69FOi6mqdyYWFhTRhwgTy8fEhmUxGnp6eNHToUEpJSSEikWAA6L3GjRtHRLUnGLVaTX5+fvT66683uL1Lly7VxtWzZ09KTU3VKX/55ZcpPDxcZ9qBAwcoODiYZDIZdejQgZYvX65TPmXKFGrfvj3JZDJq06YNRURE0JEjR3TqxMbGkoeHB0mlUlIqlfTcc8/R6dOnG9yO5uZBvrMSIpP2UKKnuLgYLi4uuHnzJpydnZty1RZp7Fjgp5+A/HxALr87vbq6Gjt37gQADBo0CLa2tjULgYULgaAg4J7LuIw1tgf5zvJ9MGb25pvAf/8LpKcbMVNenngku0cPk8XFWGPgk7xmFhAAFBaKk731UlgoHsn29ATquALDmCXgPRgL0Lq1eBD611/vU/HmTWDQINE1Q0wMj9zILB4nGAsxaxbw5JPi3jmD1Grg+edFny8vvQS4uDRpfIw1BCcYCzF1qhgBcu7cWiqsWydu//3hB/FINmNWgBOMhfDwAGbMAL78UowGqeP6dTGC24svit0cxqwEJxgLMnUq0LkzMGqUuBKtIZkzRzw1/cknZouNsYbgq0gWRKEAvvsOuHRJdBIOAC3PnIFk+XKRXJRK8wbImJE4wViYkBDxqqoCKnL+xmPzPgRCQ8XASoxZmQYdIjWkb1VmnLlv38ZrCYPxW4vHoN62Dajl4T7GLJnRCaYhfasyIxUXY9LeaHjYFCHy9o84XdTq/vMwZoGMTjALFy7EK6+8grFjxyIgIACff/45vL29sXz5clPE1/yUlwPPPgu3y1n44MNf0NKtAgMG2Dx4z3eMmYFR52A0fasmJCToTK+rb9Xy8nKUl5dr3xcXF4v/fP01YG9vZLjNwO7dwOHDUO/aBZuSEnzwwVEcOxaB4mJx1+61a8Do0YCfH9CypbjfTi4XfcsAQFIS8PffuouMigI6dhR3Ch89qlvWsaMov30bWLtWP5z/+R9xdPZ//wdcvqxbFh4OPPKI6Ft4/37dMg8P4LnnxP2Bhn574uJEt6G7d+sP4dKnD9Crl3gA9KefdMtcXYGRI8X/v/lG5OOann9ePEGRlgbcO3BAjx5A//7AH38Amzfrlsnl4sFTANiwAbhxQ7d88GDAxwc4fhw4dky3rEsX8cxpcTGwfr1+W19/HbCxAbZsEcNX1fTEE+JxkVOngNRU3TIvLyA6GqisFF+Xe8XHAw4O4skRlUq3rG9fIDhYPLa2a5duWevWwPDh4v9ffSXO99UUGwu4uQEHDohbJsrK9Nddb8Y8en3lyhUCQIcPH9aZPm/ePOratavBeRITEw12D3BTKhV9FfBL9+XqSrRlS63dNZw/T/T000R+fkTt2hEpFGIWjZ499Re5bZso+/RT/bIXXhBlhYWGw7l9W5RHRuqXff21KFu3Tr9s4EBRVllpeLkqlSgfOVK/bP58UbZzp37ZI4/cbWvbtvrlx4+LsilT9MumThVlx47pl7Vrd3e53brpl//8s+ZvXb/spZdEmUpluK2azTdggH7ZunWi7Kuv9MueekqU3bpleLlFRaL8+ef1yz77TJRt3apfFhJyt60uLvrlv/8uysaPF++l0ibqrqGwsBCenp44cuQIwsLCtNPnzZuH9evX48yZM3rzGNqD8fb25u4a7qPO7hoYa0IP0l2DUYdIDelbVS6XQ16joxNNPtMeKjGDqqurUVpaCkB8VpxgmLlovqtG7ItoGZVgGtq3ak0lJSUARKfSjDHrUVJSAhcjH7I1+ka7adOmIS4uDr169UJYWBi+/vprXLp0Ca+99lq95lcqlSgoKICTk1O9htgwhubwq6CgwGoPv6y9DdYeP2D9bWjs+IkIJSUlUDbgTnKjE0xsbCz+/vtv7fjGjzzyCHbu3AkfH596zW9jYwMvLy+jAzWGs7OzVf5h1GTtbbD2+AHrb0Njxm/snotGgx4VGD9+PMaPH9+gFTLGmg9+mpoxZjIPVYKRy+VITEzUuWplbay9DdYeP2D9bbCk+Jt82BLGWPPxUO3BMMYsCycYxpjJcIJhjJkMJxjGmMmYNcEY2zPe0qVLERAQAHt7e/j5+eHbb7/VKa+srMTcuXPRqVMnKBQKBAUFYdc9z6qXlJRgypQp8PHxgb29Pfr27Yvjx4/rLOOdd95B9+7d4eDgAKVSiVGjRqGwsNAq4r/XuHHjIJFI8Pnnnxsst+Q25OTkYOjQoXBxcYGTkxNCQ0P1Ojaz1Phv3bqFiRMnwsvLC/b29ggICDDYZ1JaWhqGDBkCpVIJiUSCbdu21Rk/AKSmpiIkJAQKhQIdO3bEihUr9OokJycjMDAQcrkcgYGB2Lp1q16d+312RIQ5c+ZAqVTC3t4eAwYMwGm9IS/uw+jnrxtJUlISSaVSWrlyJWVnZ9PkyZPJwcGBLl68aLD+smXLyMnJiZKSkigvL4++//57cnR0pO3bt2vrvP3226RUKumnn36ivLw8WrZsGSkUCvr111+1dWJiYigwMJBSU1Pp3LlzlJiYSM7OznT58mUiIrpx4wb9+9//po0bN9KZM2fo6NGj1KdPHwqp+Yy7Bcdf09atWykoKIiUSiUtWrTIarYBEdH58+epVatWNH36dPr1118pLy+PduzYQX/88YdVxD927Fjq1KkTpaSkkEqloq+++opsbW1pm6bvjH/s3LmTZs6cScnJyQSAtm7dajB2jQsXLlCLFi1o8uTJlJ2dTStXriSpVEqbN2/W1jly5AjZ2trS/PnzKScnh+bPn092dnaUnp5u1Ge3YMECcnJyouTkZDp58iTFxsaSh4cHFRcX1xljTWZLML1796bXXntNZ5q/vz8lJCQYrB8WFkZvvfWWzrTJkydTv379tO89PDzoyy+/1KkTHR1NI0eOJCKi0tJSsrW1pR07dujUCQoKopkzZ9Ya67FjxwiAzodv6fFfvnyZPD096dSpU+Tj42MwwVhyG2JjY+klTUcrtbDk+Lt160Zz587VqdOzZ0967733am1PfRLM22+/Tf7+/jrTxo0bR6Ghodr3MTEx9JSmM5l/REZG0vDhw7Xv7/fZqdVqcnd3pwULFmjL79y5Qy4uLrRixYo6Y6zJLIdImp7xIiIidKbfr2c8hUKhM83e3h7Hjh1DZWVlnXUOHToEAKiqqkJ1dXWddQy5efMmJBIJXF1drSJ+tVqNuLg4TJ8+Hd26dTMYjyW3Qa1W46effkLXrl0RGRmJtm3bok+fPjqHD5YcPwA8/vjj2L59O65cuQIiQkpKCnJzcxEZGWkwtvo6evSoXpsjIyNx4sQJbRtqq6P5XOrz2alUKly9elWnjlwuR3h4eK2fr0H1TkWNqCE947377rvk7u5OJ06cILVaTcePH6e2bdsSACosLCQiohEjRlBgYCDl5uZSdXU17dmzh+zt7Ukmk2mXExYWRuHh4XTlyhWqqqqi9evXk0QiqXW9ZWVlFBISov0Fs4b458+fT08++SSp1WoiIoN7MJbchqKiIgJALVq0oIULF1JmZiZ99NFHJJFI6MCBAxYfPxFReXk5jRo1igCQnZ0dyWQy+vbbbw3GpYF67MF06dKF5s2bpzPt8OHDOm2QSqW0YcMGnTobNmzQtqE+n51mmVeuXNGp8+qrr1JERESdMdZk1pO893bXQES1duEwa9YsREVFITQ0FFKpFNHR0YiPjwcAbWdMixcvRpcuXeDv7w+ZTIaJEydi9OjROp01rV+/HkQET09PyOVyLFmyBC+++KLBDp0qKysxfPhwqNVqLFu2zCriz8jIwOLFi7F27dp6dYdhiW1Qq9UAgOjoaEydOhWPPvooEhISMHjwYL0TmpYYPwAsWbIE6enp2L59OzIyMvDZZ59h/Pjx2Ldvn8HYjGGozfdOr8/n0lh16mKWBNOQnvHs7e2xevVqlJaWIj8/H5cuXUKHDh3g5OQENzc3AECbNm2wbds23L59GxcvXsSZM2fg6OgIX19f7XI6deqE1NRU3Lp1CwUFBdrd45p1AJFcYmJioFKpsHfvXp3H3i05/oMHD+LatWto37497OzsYGdnh4sXL+LNN99Ehw4drKINbm5usLOzQ2BgoM76AwICtFeRLDn+srIyzJgxAwsXLsSQIUPQo0cPTJw4EbGxsfj0008NxlZf7u7uBttsZ2eH1q1b11lH87nU57Nzd3cHAKM+X0PMkmBq9oxX0969e9G3b98655VKpfDy8oKtrS2SkpIwePBg2NjoNkOhUMDT0xNVVVVITk422Nueg4MDPDw8cP36dezevVunjia5nDt3Dvv27dNuOGuIPy4uDr///juysrK0L6VSienTp2P37t1W0QaZTIbHHnsMZ8+e1amfm5ur7XfIkuOvrKxEZWWl3jJtbW21e2cNFRYWptfmPXv2oFevXpD+MzhfbXU0n0t9PjtfX1+4u7vr1KmoqEBqaup9P18d9T6YamSay2SrVq2i7OxsmjJlCjk4OFB+fj4RESUkJFBcXJy2/tmzZ2n9+vWUm5tLv/zyC8XGxlKrVq1IpemenojS09MpOTmZ8vLyKC0tjZ544gny9fWl69eva+vs2rWLfv75Z7pw4QLt2bOHgoKCqHfv3lRRUUFERJWVlTR06FDy8vKirKwsKioq0r7Ky8stPn5DaruKZMlt2LJlC0mlUvr666/p3Llz9MUXX5CtrS0dPHjQKuIPDw+nbt26UUpKCl24cIHWrFlDCoWCli1bprMNSkpKKDMzkzIzMwmA9pyT5orlvW3QXKaeOnUqZWdn06pVq/QuUx8+fJhsbW1pwYIFlJOTQwsWLKj1MnVtnx2RuEzt4uJCW7ZsoZMnT9KIESOs5zI1EdHSpUvJx8eHZDIZ9ezZk1JTU7VlL7/8MoWHh2vfZ2dn06OPPkr29vbk7OxM0dHRdObMGZ3lHThwgAICAkgul1Pr1q0pLi5O7yTVxo0bqWPHjiSTycjd3Z0mTJhAN27c0JarVCqDw6wAoJSUFIuP35DaEoylt2HVqlXUuXNnUigUFBQUpHcPiSXHX1RURPHx8aRUKkmhUJCfnx999tln2hPvGikpKQb/1l5++WWDbdDEGBwcTDKZjDp06EDLly/X+1w2bdpEfn5+JJVKyd/fn5KTk4367IjEperExERyd3cnuVxO//rXv+jkyZN6y6kLd9fAGDMZfhaJMWYynGAYYybDCYYxZjKcYBhjJsMJhjFmMpxgGGMmwwmGMWYynGAYYybDCYYxZjKcYBhjJsMJhjFmMpxgGGMm8/+UAubnplnaZwAAAABJRU5ErkJggg==",
"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": 128,
"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": 128,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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2KHvGjBkYN24coqKiYDQa0bp1ayQlJcHV1VVNsAIAQ4YMQe/evXHq1Cm89dZbiI+Ph8lkAgB1hHy/kZKSgszMTFy/fh0rVqzA0qVLkZaWhkcffRTjx4+H3W5H7dq1YbFYcO7cOYwbNw4//PADJk2aBC8vr7vb2Lv6ipFIShFWq5XsdjsNHjyYevfurdm2bNkyqlu3Lk2dOrXE6tuxYwc99NBDeVz3V65cSWXKlFEnhh0xdIiItm7dSrt37yabzVasEWdKSgp16tRJnaBcvXo1TZo0iebNm0ePPfYYBQQE5LFAmj9/PlWvXp0GDx5c4l6ndxPH6H3u3LnUuXNneuyxx6hu3bo0f/58ysrKogsXLtCIESNIURSKjo6mOnXqUHR09D2bt5CdvkRyhxk0aBA98cQTRKSd8Bs9ejRFRUWVaIfnCNK2f/9+2rdvHxHlhOYNDQ2lXr165dl/+PDhNG7cOM2L4HYZOHAgBQQE0JIlS0hRFFq5ciURER09epTatm3rtONfsGDBXZvALClyT9o6JKk1a9ZQhw4d6OjRozR06FCqWbMmffbZZ6p0tW3bNlq2bBmtW7eOzp07d9fb7UB2+hJJCXHmzBmaO3cuzZw5k1avXq2uf+uttyg4OFgNoevoNFauXEk1atTQRNO8XRyjTbvdTufOnaM6derQM888o4ZX+OGHH8jHx4eeeuopOnLkCG3fvp3Gjh1LPj4+dOjQoRKp22w2U0xMDLm4uNCcOXOISFzr0aNHqV27dhQQEHDfdfIcx/WcPn2avvzyyzxmtW3btqXnn3+eiIj69u1LderUofnz51Nqaupdb2t+yE5fIikB9u3bR2FhYfTwww9TcHAwRURE0Ny5c9XtjRo1orp169LZs2fV0MDDhg2j2NjYO9IhfPHFF9S4cWN6/vnnVWef3377jaKioqhs2bIUFRVFNWvWLFGJYc+ePeTn50dRUVEUHh6u2tk7XgrHjh2jTp06kaIo93XHn5iYSN7e3qQoCkVERNBnn31GGzZsIKIcia1Tp0507tw5stls1Lt3b2rYsCHNnDmTMjIy7nHLc5CdvkRSTPbt20fu7u40btw4ysrKol27dlGlSpXo4Ycf1sRJb9iwIZUpU4Yefvhh6tChA3l7e5eIlQ4faXMWLVpE9erVo+eff14dzWdmZtKWLVto//79t+385BjtZmZmUnp6Ol28eJGSk5MpPT2ddu7cqYYGLl++vBpIzdHGuLg46t69e4kkA7lXnDlzhpo2bUpNmzaljh07UpcuXSg2NpYGDhxIv/32G1WpUoVmzpxJRDnX3aVLF2revDnduHHj3jb8JrLTl0iKwenTpykgICBPOIUWLVpQaGioKuk4mDNnDo0cOZLGjx9fIh2fozP99ddfqXPnzvT888/Txx9/rG7nHX9JvGAcHf7hw4fpySefpNq1a5OXlxdFRUXRRx99pMa6P3z4MDVt2tRpx18S8wf3Csc1HD16lNq0aUO9evWiuXPn0oEDB6h9+/bUp08fUhSFoqKiNF8691LDz43s9CWSYvDXX39RhQoVqG/fvrRt2zYiIpo+fTopikJ16tShVq1aUdeuXWnMmDF09uzZO5IAZMOGDWQwGGjgwIH06KOPUs2aNWnAgAHq9kWLFlHjxo3pqaeeKpZ+7+jw9u/fTz4+PvTCCy/QkiVL6PPPP6eePXuSTqejXr16qeGADxw4QM2aNaOoqKg7nu3rbuK4D4cPH6a2bdtSq1at6PfffyciooMHD9K4ceNo2bJlRET/Sask2elLJMXkl19+oUaNGtHzzz9PL774IgUEBNCqVasoPj6eNmzYQLNmzaLo6GgKCQmh2NhYslgseSxAbpdjx47RokWL6KOPPiKinMBdn376KcXExKgTikQ5iVlatGhR7Hg+ly9fpnr16tHo0aM169PT0+nzzz8nFxcXGjJkCBHldI4HDx6kGjVqUPXq1clms5VYyr97DZer2rVrRy1btqQVK1bc41YVDtnpSyS3Ce/A/u///o/q169Pbm5uNGvWrDz7WiwWWrNmTYlGyzxx4gTVrFmTQkJCNB6vSUlJ9Nlnn1F0dHSJJxXftm0bVa9eXf1iyP3yev/990lRFFq3bp26Li4u7r6cuH3//fdVs1Nn8HSP7dq1o9atW9P//ve/u9S620d65Eokt4miKKpn6+OPP45p06ahevXq2LVrF7Zt26bul52dDRcXF3To0AFRUVElVr+bmxsee+wxEBE2b96srvfx8UHPnj0xZswYrFy5EsOGDQMAeHt7F7vOgwcP4uLFi/kmdOncuTOCg4Nx4MABdV2VKlXuXlyZEmTXrl3o2bMn1q5d63S74/lXrlwZH330EUwmE2bMmIGffvrpLre0iNzjl45Ect+Te8TfqFEj6tmzp6rx34l6HJw/f54mTZpEERERNHHiRM22pKQkWrJkSYnGpf/rr79IURRatWpVvvtUqlSJXn/99RKr817ywgsvkIeHR55IqBzHczl48CB169ZNjSf0X0V2+hJJIXH8cW/ZsoX++ecfp9uIcjp+hznfjh07SrTu7du304IFC2jGjBmqxHLt2jWaNGkSVa5cOU/HX9Ia+tGjR6latWrUqVMnzaSw3W4nq9VKV69epWbNmtEPP/xQovXeTex2uypbJScnU48ePSg0NFQjWeXGsf/9YJkkO32JpAisX7+evLy86Oeff84TEZJ3sD/++CO1atWKEhMTS6zu//3vf+Tj40P169enSpUqkaurK33wwQeUlpZGV69epUmTJlHNmjXv+CjbEQO/d+/eeeLuT5w4kSIjI+9IQu+7heM5/vjjj9SsWTPq3Lkz6XQ68vPzK3DEz4/9LyM7fYmkkFy+fJneeustevfdd/Pdh//Rl6Sn7aFDhygkJIQWL15M6enpREQ0depU8vf3p9mzZxNRjqfo6NGjqXHjxnTlypUSq9sBv7bp06eTh4cHVahQgUaNGkWjRo2ifv36kZ+fH+3evbvE677bbN++nVxdXemLL76gM2fO0J49e6hnz57k6el5y47/v47s9CWSW2C32+nQoUNkNBopMjKSFixYcMv9+b+3Wyc/fsOGDRQdHU0nT57UWMy8/fbb5O7uTidPniQioosXL96RDt8Br3vFihX0/PPPU1RUFMXGxtKQIUMoLi6uROpx2LffKzv37777jmrVqqXxq8jKyqIePXqQv7+/apd/PyI7fcl9wb36bOb1vvrqq6QoCg0fPvyuBdBavnw5HTlyhP7++29ydXVV5SJHHBeLxUIRERG0cOHCO9oO3tnnNtN0RJEsiQ46MTFRjQ66fPlyWrhw4T3p+BctWkQmk0n9qnJIeVu2bCFFUchgMND69evvertKAmmyKflPQzdNIokl/XD2/ztVr6Io6rrZs2fj5Zdfxty5c7F8+XJkZWXd0Tbs3r0b3bt3x4YNG9CsWTPUr18fvXv3Rnp6Otzc3EBESEtLg6enJ3x8fEqkTsd17927F99++y0WLVqE06dPQ6cTXQUvExGMRmOe9bdDamoqhg0bhrFjx2LmzJno3r07TCbTHU+s4uy31L17d1SqVAlDhw5FWlqamroyICAAPXv2xKBBg1C+fPk72q47hUJ3+q9HIrlNiAiKouCvv/7C//73P6Snp6Ns2bKYPn36Xal38+bN+O2335CZmYmwsDC8+uqrAIBhw4Zh4cKF+Oyzz/D000/D1dW1xNtw4MABbN++HVevXsXYsWMBAKtXr8bUqVNhMBiwYMECZGZmYuXKlfjss8/wzz//ICIiokTqXr58OYYPH47y5cvD3d0dGzZswIoVK9C5c+cSOX9B/Pzzzxg/fjwOHjyIKVOmqFmnivtCyQ/Hs96+fTu2b9+OzMxMVK1aFU888QQWLlyIhQsXIjo6GrNnz4bFYsHcuXOxdetWrFmz5o4897vCPfm+kEgKyYoVK8jLy4sGDx5M77zzDvn7+1PLli3veMTC5cuXk7e3Nz333HP0wgsvUJkyZejxxx9Xtw8bNoy8vLzo888/p8zMzBKp0yElJSYmUr169cjT05MmT56sbrdYLPTrr79S8+bNyc3NjWJiYig6OrpEJ053795NAQEB9PnnnxMR0fHjx0lRFE077gQOySgxMZGqVq1KlSpVom7duqlB4u6kvPfjjz+Sr68vde/enTp06EAVK1akESNGkM1mo7lz51L9+vVJr9dT5cqVi51D+L+A7PQl/1kuXLhAtWrVUsManDt3jkJDQ+mll17S7FfSHcKZM2coJiZGjVZ54sQJCggIoBdeeEGjZz/33HMUEhJy2+ENnNl2OyJvzpkzhypVqkRNmzZ1euyWLVvowIEDdOHChduqOz9WrVpF3bp1IyKiU6dOUfny5TX325HwpSTvueNc8fHxlJmZSfHx8fTTTz/Ro48+Sk888USejr8kbeGPHDlCYWFhNG/ePCLKCSbn7e1Nw4YNI6KceQqz2Uw//PAD/frrr/dlOIncyE5f8p/lxIkTVKNGDcrOzqbExEQqV64cvfjii+r23377rUTrc3Qqu3btolq1ahER0dmzZ6l8+fI0ePBgdb8//vhDLRe30z127Bj169dP7VgURaHjx4+rAcwqVapEvXv3vmvOP7Nnz6bY2Fg6duwYhYeHa150q1evpsGDBxcrl25uHPf8p59+opiYGPrqq6/Ubd9//z09+uij1KVLF7Xjnz59Oi1evLjEXjp//PEHNWzYkIhyXvbh4eGa39jOnTtLpJ7/ErLTl/zncFhrJCYmUp06dejLL7+kiIgIevHFF9VO7+TJk/TEE0/Q5s2bi12fowNxjGL37t1LTZo0od9++03tBBzWGwcPHqTnnntOlVSK2/ns27ePFEWhhx56iPR6PS1ZskTdlpGRQfPnz6e6detSnz591LrupDXL5s2bqWnTpuTv70/9+vUjIvFFMmLECOrevXuJh4deuXIlubu706xZs/KEfv7f//5Hbdq0oerVq9PTTz9NiqKUaOKZ9evXU+vWrWnv3r0UFhZGL7zwgnp/d+7cSa+++qpqDvugIDt9yX8CHuLg22+/pcTEREpLS6MnnniC3NzcqGvXrpr9x4wZQ40aNSoxeWPXrl3UrVs3unTpEp09e5Zq165NBoOB+vbtq9nv9ddfp+bNm5eILbyjc3FEpmzUqJGaactBeno6zZ8/nxo1akRdunQpsRGu4zx79+6lP//8k7Zu3UpEOR18//79KSAggGbNmkVJSUl09uxZGjt2LAUEBNDBgwdLpH4HV65coQYNGtD7779PRDmmkenp6bR8+XI1Ac3GjRtp/Pjx1LNnz9uqvyC/iX379pG/vz8ZDAbNCJ8ox0S3Xbt2JZLD+L+E7PQl9xzu9u7t7U2TJ09W87pu2bKFoqKi6LHHHqMvvviCfv31Vxo6dCj5+Pio9twlwXfffUeenp7qKHL16tWk0+no+eefp9WrV9M///xDr776Kvn4+ND+/fuLXR/viL788kuaPHkyeXh4ULdu3fLoxmlpafTRRx9Rs2bNSjQD08qVK8nNzY0qVapEBoOBxo8fT0Q5L6Nnn32WatasSW5ubtSkSROKjo6+IxOYZ86cocjISNq4cSOlpKTQ5MmT6eGHHya9Xk/VqlXTOEHlDntRGHKnkty5cyd988039M0336gZvb799ltSFIXeeOMN+vfff+nQoUP0+uuvk6+vLx04cKAErvK/hez0JfcMPvLavn07BQYG0sKFC/Po1n/99Rd1796dQkJCqFatWvToo4+WSIef2+u1a9eu1KJFC9Xx6aeffqKGDRtSUFAQVa9enZo0aUJ79+4tkXqJiH7//XcaP368+tXw77//qh0/j9TokJJKIh6+o/60tDRq1aoVLVy4kI4dO0ZffvklGY1GNQGKzWajQ4cO0VdffUX//PPPHU331759ewoMDKSQkBDq0qULzZo1i9LS0qhKlSo0fPjw2z7vwoULqVOnTmqH/+2335KnpydVrFiRIiIiyN/fn3766Sd13+DgYAoODqYaNWpQ7dq1S0RG+i8iO33JXWf37t2qF6eDuXPn0kMPPaR6QBJpR3bZ2dl05coVunbtGqWlpZVoexya9fLly6lRo0a0ZcsWdduVK1fo+PHjdPbs2RLrdB11eXl50ZgxY2jbtm3qi2DPnj3k4eFBTz31FG3atIkmTZpEJpPptpOYcxx1pKamUlJSEo0ePVqTSWvVqlVkNBpp6NChd2TegIcg3rhxI/34449qez7//HP64osvKCkpSX3uvXv3psmTJ9+WpGW1Wumjjz6i2rVr07PPPksXLlygJ554ghYvXkxXr16lS5cu0cCBA8nDw4NWr15NRDnmqdu3b6f9+/fT1atXS+iq/3vITl9yV/nyyy+pQYMGeezsX3vtNWrUqJH6f24auXv37hIbaTo6kN27d1OzZs1o165d6kg7PT2d6tSpkyfJeUlz6NAhCg0NpU8++USz3tHZ7d27l8qVK0e1a9emsmXLlqgd/sqVK+mhhx6iunXrUmhoaJ4Q0atWrSIPDw8aMGCAOkIuCRz3ffny5RQZGUl16tShihUrUo0aNdT5BAc3btygN998k/z9/YuVPD4jI4MWLFhADRs2pPbt21Pz5s3zZC7r378/BQcH55lLeZCRnb7krrFo0SJKTk5Ww+6eP39edWxasWIFGQwG+uWXXzTHpKen04gRI2jVqlUlNom5YsUK+vjjj6ljx44UFRVFTz75JC1fvpyIiP7++2+qUqWKOvq7E6xatYrq1Kmj6WgcLznHvwkJCbR9+/Zi57Tl7Ny5k4KCgmjo0KE0ZswYMplM1KtXrzzhn7///nsKDg4u8WTmW7ZsIV9fX1q0aBER5cTmVxRFtZEnIlq3bh116dKFIiMjizWH4PitZGZm0qeffkqNGzcmLy8vdQTvkPAcvgh38nn/15CdvuSu8NZbb5GiKKr52759+6hy5cq0ZMkSysjIoNTUVOrduzdFR0fT//3f/xFRjgnlm2++ScHBwSVmNrd9+3ZSFEX1OP3hhx9oyJAhZDAYqGfPnjR27Fjq1KlTgeGTi8s333xD5cuXd5ph6ffffy/RGPwOjh07Ru+99x5NmTJFXbdhwwZycXGhfv365anzTgSUmz9/Pj377LNqe6KiouiFF17Q7BMfH0/z5s2jEydOlFi9aWlp9MUXX1BISAh17NhR8wWTmJhI4eHh9PPPP5dYff91ZKcvuaPY7XZKSEigqlWrqkmjHRYRHTt2pLp169K3335LdrudDh8+TIMHDya9Xk/Vq1enOnXqUGhoaIlZjRw8eJAWLFjgtEP/559/qH///hQbG0uKolB4eLg6GixpNm/eTB4eHvTJJ5/ksUh58cUX6e23384TyfJ2sdvtdO3aNQoLCyOTyZTHm3njxo3k4uJCAwYMoPj4+BKpk9dNROqE6CuvvELdu3en1NRU1SbecZ2ObGAlVef58+fp4sWL6jVZLBZatGgR1ahRg9q2bUvx8fF04MABevPNNykwMPC+TvpSVGSnL7mjOP6o27RpQ927d6fFixeTj4+POpLr0qULVa9enb777juy2Wxks9nojz/+oA8++ICWLVtWYm7vZ8+epQYNGpCXlxdNmzaNiIR3q6ONqampFB8fTyNHjixRs8wdO3bQt99+S++++646N/HOO++QwWCgjz76iA4dOkTx8fE0evRoCgwMpKNHjxa7bl4/UY4FVHR0NMXGxubxMt20aRMpikJDhgwp8Qnc1atXk5+fH/3zzz/0+++/U6NGjcjX11cd4Tvu/SuvvEK9evUq1iS943pXrFhB1atXp4oVK1JgYCBNmDCBLl++TFarlRYtWkQhISHk7e1N7dq1o6effjpP9q8HHdnpS+4Y/fv3p6effpqys7Ppp59+oipVqpCiKDR37lzNfo6O/5tvvtFY75QkycnJ9P7771OFChWoZcuW6vo7Hav9xx9/pJCQEHr00UepQYMGFBgYqE7gTp06lYKDgykoKIhq1KhBUVFRJfJVk9tz19Gx/vHHHxQZGUnPPvtsnnq2bNmi+kaUVP0JCQk0YMAAVbM/c+YMPfHEExQdHU1ffvklERFdunSJxo8fT2XKlCmR+v/44w9ydXWlOXPm0OrVq+nzzz8nb29v6tevH127do3MZjMtXLiQqlSpQj169ChxS7D7AdnpS+4Iy5Yto+DgYNWeft26deTl5UUVKlSgfv365fFy7NKlC9WtW5cWLlyYx5zzduCjXIeE4vBujYqKoueff17dfqc6/j179lBoaKgaWiEtLY0URaH33ntP3efAgQP0+++/0++//14ik7bcB2Do0KHUu3dvmjp1qmry+dtvv1FkZCT17t27RHwO8mP79u301FNPUaNGjTTWR3v27KHOnTtTVFQURUREUGxsLEVERBT7Zed4hsOGDcvjvf3777+Th4eHOp+RlpZGixcvLlWSDkd2+pI7wsyZM6latWpElDP6euyxx+iXX36hRYsWUWxsLPXu3TuP2eajjz5KzZo1K3ZsFx5XZfjw4dS6dWv69NNP1VSDc+fOpdq1a9OAAQPUY4rb8W/dujXP9axZs4batm1LRERxcXEUERFBAwcOVLffKVvwlStXkqurKw0cOJDatGlDDRo0oIiICHXieN26dRQTE0NPPPFEichYzvjzzz+pZs2a5OLiooknRJTzBbB161aaPn06/fzzz04ntAuL41k7OvAePXrQU089RUQ5L3uHhDd79mwKCwsrEX+H+x3Z6UvuCOvXr6dGjRpR27ZtSVEUNZm0xWKhTz75RO34czs8OeKtFJeVK1eqcfjffPNNKleuHLVv354uXbpEKSkpNGfOHKpXrx49/fTTxarHbrfTzp07SVEUeueddzQvrA8//JAaN25MSUlJFBERoZm4/Omnn+j1118vcTnrypUrVKdOHc2k6IEDB6hNmzYUFRWlhh5Yu3Yt1a5d+4562m7ZsoWaNGlCLVu2vKOpBR3RSa9evUqffPIJeXh4qJPHjpf5V199RTVr1rxraS7/y8hOX3LH6Nu3LymKQo888ohmfXZ2ttrxP/fccyUe0CohIYFq165N8+fPJ6KcjtnLy4tGjx6tjgzT09NpxowZ9NBDD922rMIlpPfff58MBgNNmzZNfZGdPn2aatSoQSaTSZ24dBzz+uuvU6dOnW47GYzjPI4wx47/nz59moKDg2ndunXqvlarlfbs2UP16tWjjz/+WH3xlMQLh4eyOHr0KG3evJm2bdummkVu2LCBmjZtSl26dNGEpC6uz4Xj+CtXrtDw4cPpo48+IqIcE8yuXbtSnTp1NGEURo0aRbGxsSUeIfR+RHb6kmLj6EQyMjIoKyuLjh8/ThcuXKAmTZpQ//79qVGjRjRgwABNhimr1Urz58+nqlWr0gsvvFCsTiC3eWNiYiLVrVuX0tPT6dixY1SuXDkaNGiQun3btm1ks9koNTX1tl84PNOTg48++ogURaFp06ZRcnIyZWRk0Pjx4yk6OprGjBlDRDkd47hx48jPz6/YESuvXr1KgYGBqs8BUU6S8vr166vB0xzY7XZq1KiRmhzEsa648GB5ERERVL58eYqIiKDKlSur3rR//vknNWvWjLp3706//vprserhbN++nRo1akQNGzbUzE9s2rSJunXrRq6urtSmTRt69NFHycfH54GNpVNUZKcvKRaOzu/w4cPUtWtXqlGjBhkMBmrVqpWqX8+ZM4caNGhAAwcO1EzSZmdn04IFC4pllnn69Gn6/PPPNROBe/fupeDgYNqwYQNVrFiRBg4cqLZz37591LNnz2KZ6TnOtWfPHoqIiNAkc3F0/FOnTiWbzUaXL1+m8ePHU0REBHl7e1PNmjWpatWqJWKl4/BWNhqNqjWMxWKhYcOGUWxsrOpl7ODJJ5+kCRMm5Ak0d7t1O9i6dSt5enrSF198QXFxcbR161Zq27YthYSEqKa5f/75J1WvXp2effbZIn9hOO731atXaf/+/bRjxw4iypkraty4Mbm7u+eZm7h06RItXryYXn75ZZo0aVKxwjk8aMhOX3LbODqO/fv3k4+PDw0dOpQWLFhAP/74I3Xu3Jl0Oh316NGDbty4QZ988gnVq1cvT8dfHPbv30+VKlWiJ598Up0zcNCrVy9SFCWPZj9u3Dhq2LDhbUs6jg5o79695OrqSuPGjSMi7Uj0ww8/VDV+u91OZrOZLl68SN988w3t2rWrREMrJCcn05tvvkmKotDXX39NRETXrl2jdu3aUePGjWn48OH0ww8/0LBhw8jb25vi4uKKXeeuXbuoYsWK6uTpp59+Sq1atdJMhqekpFCrVq2odu3a6mTqli1bivyCd9zvAwcOUOPGjalcuXJqPluinLAZtWrVojp16qhxde5kPt0HAdnpS4rF5cuXqW7dujR27Ng86+fOnUuurq7Uv39/IsoZ8cfGxlLPnj2L3fHHxcWRn58fjR071ulk5MaNG6lly5ZUqVIlWr9+Pf3444/02muvkZeX122bKvIO383NTe3wHfCsT3zEXxLROXNLWNnZ2ZrOrVmzZqQoCi1dupSIcjp+h44dExNDDz/8cInIG3v37iUvLy9NyONJkyZRmTJlNG0jyjEPjYqKum0Zi99vDw8PGj58OK1Zs4beeustCgwMVH9XP//8Mz366KPUvHlz9aVyO7H3Swuy05cUi3///Zdq1KhBBw4cyOMMlJSURFOmTCGTyUTr16+nzMxMmjJlCrVq1apYo92MjAzq3r07DR06VLPeYrFQfHy8GqfnwIED9NRTT5GPjw/VrFmTWrduXew4/MePHydXV1eaMGECEYlR5TvvvEMdOnTQXNdHH31ELi4u9Oabb5bIBOLZs2fVCUsicZ/fe+89CgoKUtMJOgKaWa1WstlsdOnSpRJxQtq3bx+5u7vTG2+8oVm/bds2atSoEb333nuaXAi7du2iiIiIYt3z3PebKOc5P/vss1S5cmV18LBq1Spq1aoVPfroow9cesOSRnb6kmKxePFicnV1Vf+f+9P61KlT5OPjo8a7yczMLHYYW4vFQg899BB9/PHH6rq1a9fS8OHDydvbm8LDw6l9+/bqthMnTlBaWlqxE3rbbDYaN24cBQUF0axZs9T106ZNIx8fH1q7di0RaW3+p02bRn5+fsW2ybdarTRmzBiqVKmSxrlr6tSp5O/vT+vXr6fs7GyaMGECKYqiavwlRXx8PAUGBuaRy+bMmUODBg2igQMHUsuWLdXnnJqaSuPHj6eqVavetm08v9/8ZUeU80KtWbOm5tz/93//R/Xr16dOnTrl+RKSCGSnLykWf//9N7m6uqoJMZxRt27dYmVAyk1ycjJVqVKFBg0aRHFxcTRt2jSqXLkydevWjT766CNauHAhVaxYkV577TUiKlmP23PnztGrr75KjRs3pvnz59N7771HAQEBaofvjJKK1Z6YmKipe8aMGRQQEKCZz0hLS1Mjmn733XclUi9RzoR5w4YNNcnop02bptrE37hxg4YMGUJVqlQhb29vatKkCQUGBhZ7wprf76lTpxJRjnTo7e2t/p937qtXry6Ws1dpQHb6kmKRkJBAZcqUoSeeeELzx+aQHq5fv05NmzalZcuWlWi9f/zxBxkMBoqIiCAvLy/69NNP6fjx40SU8yXQtm3bPEnNS4oLFy7QsGHDqHLlymQwGFT7c64jT5w4UfX4LamImYWtOzU1laZOnVpisXQcHDt2jNq3b09PPPEEDRo0iMqUKaOxXEpNTaXjx4/TnDlz6IcffsiTsOR2cVxz06ZNadSoUVS+fHl6+eWX1e0lYY1UmpCdvqTYLF++nIxGIz333HN5Ju0mTJhAkZGRdyTOSXx8vCbzlQObzUZPPfVUiZknOuPixYv0yiuvUK1ateiDDz7QbJs4cSK5urreseiN+dXNO/471QkePXqU2rRpQ25ubpq673TguvPnz9OwYcMoNDSUGjRooK6XE7ZFR3b6kmJjtVrp008/JYPBQJUrV6b+/fvT+PHjqXfv3uTv719i8fALg9lspgkTJlDZsmXp2LFjd7Quxwi0cePGqpb9zjvv3NEOv6C6ie5850uUM0fStm1b6tChA/3999/q+js92r548SK9/PLLea65JL+kSgMKEREkkhJg+/btmDFjBo4ePQpfX1/UqVMHw4YNQ5UqVe5K/V999RV27tyJ77//Hr/++ivq1q17x+u8ePEipk6din379sFsNmP//v3YvHkz6tevf9fq3rNnD1q1aoXJkyff8TodHD9+HK+88gqICG+++SaaNWt2V+q9l9f8wHCPXzqSBwyr1aqO+O7mCOzIkSPUokULevLJJ0tcy74VFy5coOeff56io6Pvuqv/hQsXqF+/ftS6des7FrUzP44dO0aPPfYYNWnShLZt23bX6r2X1/wgIEf6khKFiKAoSp7y3eDy5cswmUzw8fG5a3U6uHLlCux2O4KDg+963ZcuXQKAe1L3kSNH8Oabb2LmzJkIDw+/a/Xey2u+35GdvkQiKRYWiwVGo/FeN0NSSGSnL5FIJKUI3b1ugEQikUjuHrLTl0gkklKE7PQlEomkFCE7fYlEIilFyE5fIpFIShGy05cUGbPZjEmTJsFsNpeaukvjNd/Luu/lNT/w3Du/MMn9SnJyMgEokcQg90vdpfGa72Xd9/Kab5eNGzfSY489RqGhoQSAVq5cectjNmzYQPXq1SOTyURRUVE0f/78O95OOdKXSCSSEiA9PR21a9fG3LlzC7X/6dOn0bFjRzz88MPYs2cP3njjDbzyyitYvnz5HW2n4Y6eXSKRSEoJHTp0QIcOHQq9/6efforw8HDMnj0bAFC1alXs2rULH3zwAbp163aHWik7/VKH3W7H+fPn4eXlddtxcVJSUjT/3k3uVd2l8ZrvZd23Wy8RITU1FWXLloVOl7+QkZWVBYvFUqjz5f47MZlMMJlMRWqXM7Zt24a2bdtq1rVr1w4LFy5EdnY2XFxcil2HM2SnX8o4f/48wsLCSuRcJXWe+6nu0njN97Lu2603ISEB5cuXd7otKysLQRFRSLt88Zbn8fT0RFpammbdW2+9hUmTJt1WuzgXL17MEzAuODgYVqsVV69eRWhoaLHrcIbs9EsZXl5eAIDX/o2HydMb8T/uVLeRzS7KVlHOTk1Xy+6hAWrZfE07CtOZWNAtnRgdZSeLPxoXLw+1bLfZ1LLCRmXJu/eoZdcwEbnRlpmllo0BfmrZmp4hzu/tifywW6xO1xs83cS5UsW5DF7uou4MUbeiF221ZQrrEktSslrWu7mKNnlp28Tba/TzVstpJ06J9QGBot1mMSK1pYt76RYmOrWsC5fUso6NQr2rVIAz+DMBAD27B5prui6esdFHXIfBW9wbfi5Heda4NvD3dUPWjavY/M5A+AWK38aPv1wXddnF78TLVfzmAKBlM1+1vPtfcW8fethfLa9df020SafAbLNh5r//qr9zZ1gsFqRdvojXdpyFydM73/3MaSmY1SgCCQkJ8PYW+5XEKN9B7q8IuhkK7U5Gp5WdfinD8WO6tPYojK4eqPR8K3Vb3Ier1bJrsPjDUqziB2i5zDpwT21nZnAXfwyWZPGicPNj59Lr1TLZ2UuGvXDcgsXozpOF672xdZtaNrKXgZ7/jO3aPxbeqYLFFuQvNd5ZK+y9oLOL8+pcxbWSVezEOz8XkyjzTt+anqlpk1tAGXEMe7Fk0Rm17BlaTi2nxyey+sRL1+AiOmqTj7jHsIvrNLqKl2w2a4dO0UbF1INLCexZsJeP3iT2MbiK61PM4p6bPHPCWnv7+sDb2xVGuxlebi6wpIhzuhvEffURl4/EJG2b6sQGqeXUq+Ket+wRqZZPHhK/M6OLDpnZVuDfwnWaRndPGD3yHyQ4fp/e3t6aTr+kCAkJwcWL2q+Ny5cvw2AwICAgIJ+jio/s9CUSSamErHbNy9/Z9jtJbGwsfv75Z826devWoUGDBndMzwekc5ZEIimlkJ1uuRSFtLQ07N27F3v37gWQY5K5d+9exMfHAwDGjRuH5557Tt1/8ODBOHv2LEaMGIG4uDgsWrQICxcuxMiRI0vsGp0hR/qlFLLZQTa7RtKpOqKTWo6btUYtZ54+rZbdo6PZOYQmDwCZF4W+6hooNHeu71uShDzEjzcFiGxXOpaQw3KDzRvYnY+8dEYmO3i4abbZsoQebrmepJaN/r5qmUsxBk8hP9mzhaRguX5DLbuXExNs5mtivYsP05GZvODiLSQWAMhOEZKEzkUPZxAxiYXXd0XcY7slWy2bgoQcYMsQMo6dSVE6F/HnnvvZmXyFzGFmMphGjuNzMIoYL2acu6CW+b0BAIOLDpXr++HXH86xY8V2ns3DSlpJJvFoqlr28BDtSDgg5LhsqzjBgTNWmG3O522cQqSRwpxuLwK7du1Cy5Yt1f+PGDECANC3b18sWbIEFy5cUF8AABAVFYU1a9bgtddewyeffIKyZctizpw5d9RcE5CdvkQiKaXYrTbYrbYCtxeFFi1aqBOxzliyZEmedc2bN8e///5bpHqKi+z0JRJJ6cR+i5F+EeWd+wXZ6ZdSHJNY3EqHSzpVX+uolo9//pdaNngIKSTtRILmnN5Vo9Qyl1W4hGFNY9IGk2W49Y5iYPszc1HYnX+6c+3VfPWGZhuXcYx+zhOmcxkn66Qwm/SoXEkt21KEpGALEhYtBk9mupgipCsui5gvCvkDADwqCjPKrEtX1bILs+qxpgmzTi7juPgIKxJeR3aykEJszCTUNUg8X72rkM2MvlqTxuxUZtnDnovCpDkzM2fVMQscr5hIcZ6b0pVjwGvJsmPzmouo30TIfSdWiGv28xIykdFF+3y9A0R7b1wRZqRpN8Rviw+sPU12uNgKP/l6K92+qJr+/YLs9CUSSankXlvv3Ctkpy+RSEolZLdrfEWcbX8QkZ3+HSIjIwN9+vTB+vXrkZqaihs3bsBoNOZZV6dOHQwfPhzDhw+/q+3LTk0HLNrPd26lwyWdmBeERcKJBRvUsls5IUcAQEbiZbXMJQIOlx7cy0aqZfN1IZ9kxu1Ty571m4h9dOLnanAXMhNY2ZKkrY/LHkZ/Ie9wD+DsJGEh5FuvtlrOOC+ux6tqFbE+4bxaNgULByITs1ji8pbBx1fTJluWkCpMgUJ+4XKCa5Boa+YFZhVVRtRhucGujTmh2ZkFk41JQ3ySMeXwMU2byCw8jl0CxDUpzOLHnHBW1B0srHQ8IoQjmbDwyalLpwfKhJhQqbG4Tu9fhbzD5ZmIslrnrLSkbDjD4CKeXUgZccyx81kw2wrvyUo2Knikb3sw5R1pp38bJCQkYMCAAShbtiyMRiMiIiLw6quv4to18ce5dOlS/P3339i6dSsuXLgAHx8fp+t27tyJF1544R5ejURSOilpO/37BTnSLyKnTp1CbGwsKlWqhG+//RZRUVE4dOgQRo0ahV9//RX//PMP/P39cfLkSVStWhU1atRQj3W2LigoyFk1EonkDkNEBZpYFrTtfkZ2+kVk6NChMBqNWLduHdzccj6jw8PDUbduXVSsWBHjx49HXFwcNm7cCCAnBkjz5s0BIM+6DRs2IDIyUiPvJCUlYfTo0fjpp5+QnJyM6OhovPvuu3jssccAAFu3bsXYsWOxc+dOBAYG4sknn8T06dPh4eGBouAeGgCjmyfSzorYH9zxilvpcEknemALtXz4/f/TnpR53VhuCLnGrayQgTwqiLg6/I/KFOirlu0164t2MMcpMIclKwuAxsntCJXJJJqsS+JLjDtS8bKFOU65lxcREM1Xk0RbmaTD25R5XgQ9M/oLGUbvpnUY08QDYvD2ZbA0gdxKJ/nAUbXsGR3J2qe1WlLbyu4rt5AyBWulOb6N30MuU3nXFtKXYhAigc4ouhHjzXvpcN6y24HrVy24fFrc14RkZtnEnMdSM7RSS2Q0e97Z7LfiLo5PShLHh/gAWUXxzbLaQAXY4he07X5GdvpF4Pr16/jtt98wdepUtcN3EBISgt69e+P777/H8ePHMW7cOBw8eBArVqyA8aaH6dixY/Os49jtdnTo0AGpqan46quvULFiRRw+fBj6m3/0Bw4cQLt27TBlyhQsXLgQV65cwbBhwzBs2DAsXrz4zt8AieQBQppsSm7J8ePHQUSoWrWq0+1Vq1bFjRs3YLPZ4O7uDqPRiJCQEHW7s3Wc33//HTt27EBcXBwqVcqxEa9QQdh0v//+++jVq5f6VRATE4M5c+agefPmmD9/PlxZ5EMHZrNZk1z6XiTikEj+i0iTTUmxKW4s7L1796J8+fJqh5+b3bt348SJE/j66681ddrtdpw+fdrpy2j69OmYPHlynvXmaymwm2wa5yIeW4U7XnErHS7pVBv1hOacx+b/rpatzFFJx+QJnYlZg7B4/Ho3EZY5+7qIt87jxei8fEVlPEwyH5Hl0mFdWUwa7gjFrZaYQgOyCosRLm1w6UoTg4adh1ux8HDKrmVY2GNo4/Hz/biMw52quAWOLVNIUTyGj8KcpbKTU5zuo3cV95jHGwK0cYkUPXMA4/eJ3SiF2YDw+PuCnOfgYtShTtMAXE0U11nGQ2gwvh7iPDfStJ0s/zMyuor9PPzEV3JGljjG1aho4jzditI60pfWO0UgOjoaiqLg8OHDTrcfOXIEfn5+CAwMdLr9VuSWjHJjt9vx4osvqpH89u7di3379uH48eOoWLGi02PGjRuH5ORkdUlISHC6n0RS2iC6hfWOnMiVBAQEoE2bNpg3bx5ee+01TSd98eJFfP3113juuedue6Rfq1YtJCYm4tixY05H+/Xq1cOhQ4cQzSZcb0VJ5fOUSB40yGbLE2009/YHETnSLyJz586F2WxGu3btsGnTJiQkJGDt2rVo06YNypUrh6lTp972uZs3b45HHnkE3bp1w/r163H69Gn8+uuvWLt2LQBgzJgx2LZtG4YOHYq9e/fi+PHj+L//+z+8/PLLJXV5Eknp4VY2+g+ovCNH+kUkJiYGu3btwqRJk9CjRw9cu3YNISEh6NKlC9566y34+/vf+iQFsHz5cowcORLPPPMM0tPTVZNNIOdLYOPGjRg/fjwefvhhEBEqVqyIHj16FLkenckIvatRY3rH4+Hz4Gnc05YLrVzDB4BKL7VWyzxOP4/pbubx8dnnMzfx5HVwrZ/DtXAeiz/lgFZ6c68grsPO9Hoep99uEdq9i7fQzDMThTkr17O5OSZYXHnu5aqwzEe6XJZa/Hhed3YyC+rGPJe5Tm3wcD4Hk3HyhNjH1/lvUNHMS2j1c7dQ5oXL5hYsLLgZh88P8IB1uTtKW7YdZ+JSEBgq5hCuZYjze7K8uEE+2jGoyV10T4kHxPOqZRHHpDNN//RVPSy2wo9j5USupNBERETc0kRy9uzZhVp35swZzf/9/f2xaNGifM/bsGFDrFu3rjDNlEgkBSCdsyQSiaQ0Ycct4unftZbcVWSnX1rR5Zi3WZKFSZ9rPgHDePA0LsNws0wAhUq9yCUdfl4PfxHAK/mQ8DrlnqZkEaaB3GuUyxHetapr2sRNPjUwWcbgIcw6renC01ebH4AFLmOyijVDtMngKaQhEzPT5FIUoM0pwM05uWTC0z5mszj23BzTxVukOHQNjxTn4ekf2Xm4pGPM7bnMvIG5XJYf3AuX47hWymVFm5Uh7pm7i2hHWpbY8VyS1gCiWqK4bh9vUd/Zg+I32LCuMC+98FcKFKXwk68lnTnrfkF2+hKJpHRCVHAeXCnvSCQSyYODw06/oO0PIrLTL6VkJ6cBWQSDO7OOYVYiPMUhhwdP4562gNZKJ7/Ui2e+/UctZ5y7opaNfkIaMQYIycPoK6QGLn9w2YbLHzwlIADYKZ+Y7CygHGWLz3h+PJd6eHpA8OvmVj0BvqJenuLQUyulaGLcMwsRLp1x6UtrXSQkHS7DcBmHW9Pw55jNJDsll+cqDwLHO0IjC0bHLb30JuepLtX8BTcTkNgJSE2xwmgSx2Zki3I5P1GXQacV0bOYZU4ZZv3jYhTHp6aIe1neX0GWtQgeudJ6RyKRSEoP0npHIpFIShEytLKkVOHi5QGjq4dmNGNJEtY43MKEOwrxePg8eBqQv+MVl3QinxHpD08t2SzqYEG77Gbxyc7lloxzIj0gT03IJYzcrvN6VyF76PnnOmufNja8kC14YDQegM6zYnlxHmYFxFMz6t1FvdZMbex/fk06JpMY/YRcY/QVMk5+4QC4Mx2XvjTWRUyi4lKeJpgcALdgnoZR/A747yObWWtx6ymeB8A1OMcSynHv9HoFoWFuSGDx9H1MzCErQFz/xVzpEQPKiPZeuSCuw91L/O6uXRPHWG0EaxFSHJbWgGuy05dIJKUTab0jkUgkpQe71Q57AZO1BW27n5GdfinFbrPBnks24LIAlzncy0aKfdjoh8fDv7nR6fHcSodLOhX6PaSWj84VoSX07sJSIzuNOSZduiDOaRDnd2GyCFm1+fK4jKFxeGJx5rlU4cKseqw8VWDlSKdt0ljWMEsXLg3ktpSxao53Hr8/PZ45ojHrHzOLe6/JNcDud3YyszpiVjnmazy+kTZGTXrCZTiDxz7KuiSeo3s5EavHrawoO9JKitwSOdY2NRoI+ehEvEgree2GeF5Gg3ZknZkutgUx6x0dk91cWZx9o0GBHUWIcEt2bTIFZ9sfQGSnL5FISiV2GxU80i/C/MD9hOz0JRJJ6URq+pLShKLTQdHpNI483NmHO9yYrwtZwBToq5Zzhz3mzkU8lg53vOJWOlzSqTysrVreO3aJWnYtK85DaSIOj841Ri1zRytFp5UteIyY/CQdLo1kXRHX4OIjwhhbWbv5/ibmkGXNELKKi5eQknIn1eEyE7cQStq9Ty37Nayjlnl8JAOTenj8HC45aWQm9hx5akzuXAVoHZEUZg1lTRVxg9zKiWdhTRPXamFWS457o9yUWcieI9Nks3DImRYmA7Jbk5mtvU+e3qKN5+PF9fllCRnSki3Oe+4GwSytd26JTKIikUhKJY7MWQUtRWXevHmIioqCq6sr6tevj7///jvffTds2ABFUfIsR44cKc5l3RI50pdIJKWSkh7pf//99xg+fDjmzZuHZs2a4bPPPkOHDh1w+PBhhIeH53vc0aNH4e0tJtyDgoLy3bckkJ1+KSV59x64uLjC4C9+YDzDk2IQn/iZcUJ2sNesr5azr1/XnpTJGDw8Mo+lo3G8YlY6XNKp824/tXxw2gqn5+ck/bNdLRuCQjTbeCYsLnXYsnhcHRbnhmXXQgL7o+dxidh9yr4uHJMoWxxr8OMhk8V15q7bni6kG2OZYLV8bdNWcS7/QFa3kNRSd4vrdgkRTnMKax8x6yID61h4G3Jfk8aKi2UAy0o467QdioHH4cmRC+3W2Jz/EyErw4bUFCGPpZiFwOAnfNCQ2wHWwGLsuLEsWvXaimd8+UvRJj93K7K0xlsFQjZ7ngxiubcXhQ8//BADBgzAwIEDAeQkTfrtt98wf/58TJ8+Pd/jypQpA19f3yLVVRykvCORSEondvutFwApKSmaxWw25zmVxWLB7t270bZtW836tm3bYuvWrXn259StWxehoaFo1aoV/vrrr5K7vnyQnb5EIimd3Ay4lt/isN4JCwuDj4+PujgbtV+9ehU2mw3BwcGa9cHBwbh48WKe/QEgNDQUn3/+OZYvX44VK1agcuXKaNWqFTZt2lTy18qQ8k4pxTUsHC4md7gGC+mAJwu3pgrZwbO+iJdjYFmZcmel4tY8POOVNjwyk0aYxQm30uGSTo03uqrlvW+I2C/c0sgU0Egt5w6Hy+PeGH2F1JN1WUhTPKwwT5/H28otWiw3hLWK0d9XrGeOU65BIhsXj6OT0yZmCcTOy52n/B+KFU1iFlb8Gbk/0lwce0Vcj95dWOlw6yBusaNx1ALgFip+B7w+7jxm8KwqrolZCPH75IjfpP42FECnV1ChirgHR06x7GSe4vp9MrTazPVLYj8be65XmSWP1Sqel4+HDkZrERKj228h79wc6SckJGg0d5PJlN8heSy1iCjPOgeVK1dG5cqV1f/HxsYiISEBH3zwAR555JFCXcPtcFdH+pcvX8aLL76I8PBwmEwmhISEoF27dti2bdvdbEaxadGihTrTbjQaUbFiRYwbN87pZ59EIvlvQnb7LRcA8Pb21izOOv3AwEDo9fo8o/rLly/nGf0XRJMmTXD8+PHiXdgtuKsj/W7duiE7OxtLly5FhQoVcOnSJfzxxx+4nntCsAhkZ2fDxcXl1juW8LkHDRqEt99+GxaLBTt37sTzzz8PAAVO2Egkkv8QJeicZTQaUb9+faxfvx5PPvmkun79+vXo3Llzoc+zZ88ehIaG3nrHYnDXOv2kpCRs3rwZGzZsQPPmOZ+lERERaNSokWa/5ORkjBo1CqtWrUJWVhYaNGiAWbNmoXbt2gCASZMmYdWqVXjllVfwzjvv4MyZM5g/fz7efvttJCQkQMecc5544gn4+flh6dKlAICff/4ZkyZNwqFDh1C2bFn07dsX48ePh+FmViRFUTB//nz8+uuv+P333zFy5EhMnjzZ6fW4u7sjJCTHiiA8PBzffPMN1q1bp3b6ZrMZo0aNwnfffYeUlBT1Oho2bKieY+PGjRg1ahT27dsHf39/9O3bF++8847anhYtWqBmzZrQ6/VYunQpjEYjpkyZgt69e2PYsGH48ccfUaZMGcydOxcdOnQo0vOwZWZBZ9Phxlb2lWVnn7p28alt1rGfCYtHovPyzff8PIk5D/vLwyPzWDrc8Ypb6XBJp86059TyzqdeF/u7C6lHMWgzZ1GqsK6BK3PI8hKxYOzrxORZVoBw+nKJqqaWbSlJog4WrpmytEnPHZjjT4v9TW7ajewe0rljatlQuYFaTtu3x+nxxKyL0lNYaOWyLIn7eVG3S2QVtWwKFlnPMk8I6yoAyE5mck8+9unEfh8ZJ4X0ovcS999uzllvtza+eRBgzSZkm8Wx14VyCF9P0bFm5XLOunFdXCuPsZOVJn6bZcsLuTHxUgqyihAkjWx0C+udoplsjhgxAn369EGDBg0QGxuLzz//HPHx8Rg8eDAAYNy4cTh37hy+/PJLADnWPZGRkahevTosFgu++uorLF++HMuXLy9SvUXlrsk7np6e8PT0xKpVq/KVQYgInTp1wsWLF7FmzRrs3r0b9erVQ6tWrTRfAydOnMAPP/yA5cuXY+/evejevTuuXr2qmfm+ceMGfvvtN/Tu3RsA8Ntvv+HZZ5/FK6+8gsOHD+Ozzz7DkiVLMHXqVE0b3nrrLXTu3BkHDhxA//79C3Vt+/btw5YtWzRfBaNHj8by5cuxdOlS/Pvvv4iOjka7du3U6zh37hw6duyIhg0bYt++fZg/fz4WLlyId955R3PupUuXIjAwEDt27MDLL7+Ml156CU899RSaNm2Kf//9F+3atUOfPn2QkZEBZ5jN5jzWBxKJpPDyTmHp0aMHZs+ejbfffht16tTBpk2bsGbNGkRERAAALly4gPj4eHV/i8WCkSNHolatWnj44YexefNmrF69Gl27ds2vihLhrnX6BoMBS5YswdKlS+Hr64tmzZrhjTfewP79+9V9/vrrLxw4cAD/+9//0KBBA8TExOCDDz6Ar68vfvzxR3U/i8WCZcuWoW7duqhVqxYCAgLQvn17fPPNN+o+//vf/+Dv749WrVoBAKZOnYqxY8eib9++qFChAtq0aYMpU6bgs88+07SzV69e6N+/PypUqKA+LGfMmzcPnp6eMJlMqFOnDq5cuYJRo0YBANLT0zF//ny8//776NChA6pVq4YvvvgCbm5uWLhwoXp8WFgY5s6diypVqqBLly6YPHkyZs6cCTv7sdWuXRsTJkxATEwMxo0bBzc3NwQGBmLQoEGIiYnBxIkTce3aNc195EyfPl1jeRAWFuZ0P4mktOGw0y9oKSpDhgzBmTNnYDabsXv3bs2E7JIlS7Bhwwb1/6NHj8aJEyeQmZmJ69ev4++//0bHjh2dnLVkueuafqdOnfD3339j27ZtWLt2LWbMmIEFCxagX79+2L17N9LS0hAQEKA5LjMzEydPnlT/HxERkcdrrXfv3njhhRcwb948mEwmfP311+jZsyf0N5NY7969Gzt37tSM7G02G7KyspCRkQH3mxYPDRo0QGHo3bs3xo8fj5SUFLz33nvw9vZGt27dAAAnT55EdnY2mjVrpu7v4uKCRo0aIS4uDgAQFxeH2NhYzcx+s2bNkJaWhsTERNWDr1atWup2vV6PgIAA1KxZU13nmCS6fNl5aNxx48ZhxIgR6v9TUlIQFhYGY4AfXEweMDHrnfwwMCcqHl8mt+ZpTRdShya2DbPy4RmveHhkHkuHw610uKTT8H8z1fLxz8UXHrdWAbQWK8kHhKThUTFSLRtiheTmmsEta0S7LUksaxdrE0/Kzvfn4ZRzxyji982aJp4ltxDS16wMZ/A4PHazcLzSmYSsZfbxVcvu5YUjE/cw9ahWQ3NeboHD9+P3j4d+5s+X3/Osyzdurrt5LQrgYlTgHcicuZiK485kmwAvbSfL9wsMYVZjBrHh+lXRpgAfPTKziyDJyNDKdwdXV1e0adMGbdq0wcSJEzFw4EC89dZb6NevH+x2O0JDQzVvQwfcY83DwyPP9scffxx2ux2rV69Gw4YN8ffff+PDDz9Ut9vtdkyePNnpp5Mr85h0dm5n+Pj4IDo6GgDw1VdfoXr16li4cCEGDBjAYonnb77lzJTL2XG5J5IVRdGsc+xrz+dT1GQyFWhiJpGUVkprwLV7bqdfrVo1rFq1CgBQr149XLx4EQaDAZGRkUU6j5ubG7p27Yqvv/4aJ06cQKVKlVC/vggZUK9ePRw9elTtqEsSFxcXvPHGGxg3bhyeeeYZREdHw2g0YvPmzejVqxeAHEugXbt2Yfjw4QByrnv58uWazn/r1q3w8vJCuXLlSryNEolEC9kLDqpGdpkYvVhcu3YNTz31FPr3749atWrBy8sLu3btwowZM1STptatWyM2NhZdunTBe++9h8qVK+P8+fNYs2YNunTpckvppXfv3nj88cdx6NAhPPvss5ptEydOxGOPPYawsDA89dRT0Ol02L9/Pw4cOJBn8vR26NWrF9544w3MmzcPI0eOxEsvvYRRo0bB398f4eHhmDFjBjIyMjBgwAAAOdrf7Nmz8fLLL2PYsGE4evQo3nrrLYwYMUJjgXSnsKZnQMnOP/uSZpTjro0d43QfaGUP9fMeuSUQsZ5nvOLhkXksHe54xa10uKQT80JLtXxkzm+aNvEsVZ6VKqhl7nRkvs4SmvMMVKzdLl4szDKTsbj0xR2nuKTD9wcAxSDueX7n5SGo+bk0DmNMQuL6s+XsCbXsVlbYiPN7wZ81oH2Wmv1chFNS1gUhIbp4RqrljPPCNl2X66vSbgOuXjajXEXhnOUnLhlZLORybgvJ8Ariq/vaJXE/ykWLc/GP5cvXbcjKHcCnIOykccZzuv0B5K51+p6enmjcuDFmzZqlat5hYWEYNGgQ3njjDQA5UsWaNWswfvx49O/fH1euXEFISAgeeeSRQjk4PProo/D398fRo0fVEbaDdu3a4ZdffsHbb7+NGTNmwMXFBVWqVFGDIxUXo9GIYcOGYcaMGRg8eDDeffdd2O129OnTB6mpqWjQoAF+++03+PnlaNrlypXDmjVrMGrUKNSuXRv+/v4YMGAAJkyYUCLtkUgkBXOr8Mm3E1r5fuCudfomkwnTp0+/pfOSl5cX5syZgzlz5jjdPmnSJEyaNMnpNr1ej/Pnz+d77nbt2qFdu3b5bqdCOmM4m3MAgDfeeEN9gQEo8DoAoHnz5tixY0eR6jlz5kyedYVtt0QiERDZQQVM1ha07X7mnmv6knuDi7cnXEwesLHYNDyjE4+dY0nix7GJ7lwvm5QDh9Wyd63qalljGcJGTzyJOc94xcMjazI6MccrbjHCJZ0qr2hf6sfm/66WHUm7AW28HT2Tonj8HE2oab3QJAxMnrHx2DTuuZywbsLlEgDQs/hFYPKORmrzEPKLRk5iz4hb02iyltWsq5Z5TB6eUYufBwCyLl0V21h2Li53GbzEejt7jvx61N/TzZ+GXq+gXJg7rl8Uv7MsZmGjZxJVamau39MNcX1ZLFtWRoq455euiH0upCiw2IqQGF3KOxKJRFJ6yLHFL0jekSN9iUQieXCQdvoSiURSepATuZJSCde2uUbM48RnJwuTxszzwmyPx4wHAPcKIugX16ftxFIkujrXpHVGZsbIUhzyePg8eBr3FOWaOdfwAaDSS63V8okFG9QyN6/kXsLu5Z1biWnayuYo9DpR5nHo+XyHKUCcHwB0Jp5eUIwmuYmoiT0XXs5i8xJ8XsMtNIitZ569oeIZcbPMrEvayLb8HmSnCK9fxcDqKCsCtnFzUZB4psIT9+Z2BdC7KPAJEKacJuZRa2NtYta8OadlkrrB4FyrLxsiznv5RiayrIXX4YkKjq8jJ3IlEonkQULKOxKJRFJ6IJsNpJPyjqSUYLdYYVeyNTIJN1c0Mm9Zo78oZ126xsrCzA8A7CzWe37omQkmNxvkkgKXPHiKQx4PnwdP45623CwT0Eo60QNbqOUDk38Q9fE48YnimniaRy5zaFINKiwdIfdyZfKHLXcocbaNS1PZSUJy4hKNjklctixxLk36R/ZcuJykubYEkb9A76Y12cztNay2iUlO9mzRCXJPYu4xrKahdIySCbBk2eEVIGQwbrJ5JUm0L8Bbq+/omaSTlSX2i2kiJKt//hLPS6/LWQoNS36e7/YHENnpSySS0gnRLeQdaacvkUgkDwxS3pGUSrjHK7fY4XBvWe7VqbHggNYihssePJgaHz1xSYd7+tqymPfmZWFlwlMc8nj4PHgat0bK3SYu6dR862m1fHTuOrXsGSkinGZz6SWftnKpx+TPpChGHumEW6ywc3GZxMC8XK35eE3zoGlc0uGym6mMv9ifheTOfZ+45ZHCegVeB7dg4rIRDw4nfhOOkN+ElORsXL8griGTpUX0YPHZ0rO0o253T9EQHrAt4aC45z4+Yp8jCVaYi9JPS3lHIpFIShE2K6CzFrz9AUR2+hKJpFQiA65JShUGTze4uLprAqvxwFn8c59blXB5J/ffhN0iPv8NHswpiFl9cCsYTUpFJiPoDM5lCPs6EUOfpzjUxMPXay1AuNMRlyS4pFN5WFu1fGLhRnEuJrdwmcjKUiry9qUcPa2W3cuFiv1T0jRt4hKXaxnRPp6SMb/cBtzpTQOT2oyaa2ZSkq9oa25pThObnx2jcUpjdfMgemaNw1guCxy9guCyrkg8mese3CQ6Qtzj04laKycPb3EPju0Vdbi6iToyMsVvK8ALyCrK4Jyo4MlaOZErkUgkDxB2a8ESjl3KOxKJRPLgYKdbTOTKkb7kAcKamgHFopVxDJ7isznr5Cm17Fuvtlq2cCeqXM5Ympg56cJag0sBXLZwYVY9WVeERYbGyYvHiwmIUcuuTGLhTlHcwQzQxtLhjlfcSodLOtEDmqtlnpLRNUhYwfB7wDH6sxg7TC7hFjQ5bRTXqrGeYs5W3GmOl7mUxWPvcAshfr+5ZROX73i9QP6OV9wZTFH0bL2QfXj6R5tDoropjVhthLMn01Gjobg3v+8QVlGXroj2ZecaWF8+x/IIMFmQ99PuTOo5foVgKZL1jhWw6wve/gAiO32JRFI6kSabEolEUoqQAddKBkVRsHLlSnTp0qWkT31XaNGiBerUqYPZs2ff66bkYcmSJRg+fDiSkpKKfS6DlztcXD00n+Zc6vGoXEktZ7Bwylwu4Z/4AJCZeFEte1cVYZa51KORJNjxLj5CUkACS6fHpAqXqGpqmVuS8PgwPMVhbngsHe54xa10uKQT80JLtbx37BK17F0lWi2buVVPmpB9uFUOv34gV6hlJgNp0koyWYvLV9ksLSLfn1uaaKQab+HUpJVqcgWpYR1cfukZM+JF7B7PiuXVMk/JaAzwzSkwhz69XkHcv0liH6ao8NDK8UlaqaWNr7juCwmiTWWChEyVnCR+QzFBVmRZrcAxFA6bFVAKkHceUDv9ooQnQr9+/aAoSp6lffv2d6p9UBQFq1atumPnz82KFSswZcqUO3Lufv363bcvQ4nkgcMx0i9oeQAp8ki/ffv2WLx4sWadyWTKZ++7Q3Z2NlyYi3lx8Pf3v/VOEonk/sduK3iy1v5gxt4p0kgfyOngQ0JCNIufn1+++587dw49evSAn58fAgIC0LlzZ5w5c0azz6JFi1C9enWYTCaEhoZi2LBhAIDIyEgAwJNPPglFUdT/T5o0CXXq1MGiRYtQoUIFmEwmEBHi4+PRuXNneHp6wtvbG08//TQuXbqk1uM4btmyZYiMjISPjw969uyJ1FRhEdGiRQsMHz5c/b/ZbMbo0aMRFhYGk8mEmJgYLFy4EABw48YN9O7dG0FBQXBzc0NMTEyeF2JR+PDDD1GzZk14eHggLCwMQ4YMQVpaXqeWVatWoVKlSnB1dUWbNm2QkJBQ5LpsGVl5YsJYrt9Ql/Rjx9XF5O+rLuarSepiTc/ULA4PRyI7bFnZ6qIzGNQl7USCuuj0enXh+0OnqIviolcXW0qSuliSUtXF4G5SF6Oft2axZVnURTHo1CU7JV1dMs9fURe90UVd9o5doi513u2nLhnnLqmLwcNNXUyBfupit1jVJePsOc1it1rVhbcj60qSutgyzOpiSUlXF/fwUHXJMTnMWRSDQV3IalUXuzlbXQxuruqScvCQZrFcS1KXrEtX1CU7JU1dOOZryeriFhKkLrnR6xWUi3BHu36R6uLwicrt+xRbSdEsliy7WCxiqVjXT11cXfXq4u2hg5d7Ebq0UjrSL3KnXxQyMjLQsmVLeHp6YtOmTdi8eTM8PT3Rvn17WG56b86fPx9Dhw7FCy+8gAMHDuD//u//EB2do5nu3LkTALB48WJcuHBB/T8AnDhxAj/88AOWL1+OvXv3AgC6dOmC69evY+PGjVi/fj1OnjyJHj16aNp08uRJrFq1Cr/88gt++eUXbNy4Ee+++26+1/Dcc8/hu+++w5w5cxAXF4dPP/0Unp45Oumbb76Jw4cP49dff0VcXBzmz5+PwMDA275fOp0Oc+bMwcGDB7F06VL8+eefGD16dJ57OnXqVCxduhRbtmxBSkoKevbsme85zWYzUlJSNItEIgEUO91yeRApsrzzyy+/qJ2egzFjxuDNN9/Ms+93330HnU6HBQsWQLmZM3Px4sXw9fXFhg0b0LZtW7zzzjt4/fXX8eqrr6rHNWyY42IfFJQzcvD19UVISIjm3BaLBcuWLVP3Wb9+Pfbv34/Tp08jLCwMALBs2TJUr14dO3fuVM9pt9uxZMkSeHnl2ET36dMHf/zxB6ZOnZqn/ceOHcMPP/yA9evXo3XrnFyrFSqIhB3x8fGoW7cuGjRoAEB8mdwu/AsjKioKU6ZMwUsvvYR58+ap67OzszF37lw0btwYALB06VJUrVoVO3bsQKNGjfKcc/r06Zg8eXKx2iWRPJCQFbAXMO6lB3Mit8idfsuWLTF//nzNuvx08N27d+PEiRNqB+sgKysLJ0+exOXLl3H+/Hm0atWqqM1ARESE2uEDQFxcHMLCwtQOHwCqVasGX19fxMXFqZ1+ZGSkpj2hoaG4fFlYp3D27t0LvV6P5s2bO93+0ksvoVu3bvj333/Rtm1bdOnSBU2bNi3ytTj466+/MG3aNBw+fBgpKSmwWq3IyspCeno6PDxy4tQYDAb1JQMAVapUUa/RWac/btw4jBgxQv1/SkoKwsLCoOh1UPR6jfMOjxdjCxJfLBkJ59WyKVjc89zxxrlzkmYbi8fCrT64BY0m9g6zwLHcYM5ILKm6KUBY4misTQzanzRPYs7DIPO4PzyWDne84lY6B6cuV8s1xndTy0fm/KaWNU5RZnFf3cprByy8bq5xcIcpvTuL+5OPQxbHliHuJc885uLDrHfYs/asWkVzPM/gpbk33MrJXVjNcKsvM3M2cw3O6QscsXxs1hznrHNnz6j7+LHLz7Kw0XSq9vd0LkHUnZYutsUfEvUpLIRQcpodWdYiSDJ3wGRz3rx5eP/993HhwgVUr14ds2fPxsMPP5zv/hs3bsSIESNw6NAhlC1bFqNHj8bgwYOLXG9RKHKn7+Hhocovt8Jut6N+/fr4+uuv82wLCgqCTnf76pKjE3RAROrXREHrc0/4KooCez5OGG65UsrlpkOHDjh79ixWr16N33//Ha1atcLQoUPxwQcfFPYyVM6ePYuOHTti8ODBmDJlCvz9/bF582YMGDAA2dlaz1dn1+lsHZAzB3OvJ9olkv8iit2a13Q11/ai8P3332P48OGYN28emjVrhs8++wwdOnTA4cOHER4enmf/06dPo2PHjhg0aBC++uorbNmyBUOGDEFQUBC6devmpIaS4Y5q+vXq1cPx48dRpkwZREdHaxYfHx94eXkhMjISf/zxR77ncHFxga0QGWyqVauG+Ph4zaTm4cOHkZycjKpVq95W+2vWrAm73Y6NGzfmu09QUBD69euHr776CrNnz8bnn39+W3Xt2rULVqsVM2fORJMmTVCpUiWcP38+z35WqxW7du1S/3/06FEkJSWhSpUqefaVSCQFUMITuR9++CEGDBiAgQMHomrVqpg9ezbCwsLyKCMOPv30U4SHh2P27NmoWrUqBg4ciP79+9/WoLEoFHmkbzabcfHiRc06g8HgdAKzd+/eeP/999G5c2e8/fbbKF++POLj47FixQqMGjUK5cuXx6RJkzB48GCUKVMGHTp0QGpqKrZs2YKXX34ZANSXQrNmzWAymfK1FGrdujVq1aqF3r17Y/bs2bBarRgyZAiaN2+ukUOKQmRkJPr27Yv+/ftjzpw5qF27Ns6ePYvLly/j6aefxsSJE1G/fn1Ur14dZrMZv/zyyy1fMMnJyerEswN/f39UrFgRVqsVH3/8MR5//HFs2bIFn376aZ7jXVxc8PLLL2POnDlwcXHBsGHD0KRJE6fSTkHYMs3Q2fXQsa8A8zURZtngKZyluKTD/xByh+fl2bK4ZKL542H78FDMJodTD4Ds6yLJN8/mRVlCxuEOWQYmO3AJAwD0OubAxOrmUk/uLFLqPszxysRi73BJp8or7dTy8U//dHqe3E5smva5ivvPJSGO4iLkMe5AxxOu693F8yKr2IfH7eHSUNIBrQcTT5RuTWdjQfYFyWUjTWwgjYSWc88czmWKAri4KGjUVjj1Hf/sLJxhMmp/T2FR4mv+6kXh4MatfniYZYNegYGcf/E6QwFBQf6TtY5tuY0fnH09WywW7N69G2PHjtWsb9u2LbZu3er0/Nu2bUPbtm0169q1a4eFCxeWqBl6boo80l+7di1CQ0M1y0MPPeR0X3d3d2zatAnh4eHo2rUrqlativ79+yMzMxPe3jl/aH379sXs2bMxb948VK9eHY899hiOHz+unmPmzJlYv349wsLCULdu3Xzb5XDi8vPzwyOPPILWrVujQoUK+P7774t6iRrmz5+P7t27Y8iQIahSpQoGDRqE9PQc3ddoNGLcuHGoVasWHnnkEej1enz33XcFnm/Dhg2oW7euZpk4cSLq1KmDDz/8EO+99x5q1KiBr7/+GtOnT89zvLu7O8aMGYNevXohNjYWbm5ut6xTIpHkRbHbciSefJcchSEsLAw+Pj7q4uzv8urVq7DZbAgODtasDw4OzjNIdnDx4kWn+1utVly9etXpMSWBQvSAZgqQOCUlJQU+Pj54cug3cDG5a0b61lRhi81H+nyEXOAnb376aBFH+sn7D6llj+iKajnt4EG17Fmjhmiru/PkL4B2FGpJEtdnY3ln8xvp5xeOgI/cCzPS5zluc7cpv5G+ZlI4H3mTT7Ly+8pH+jwcRGFH+jwaJ4eP9PlEOv8acIScmDumBQJ8XJF5/Qp+fa2HZqT/VT4jfR9P7e+nVh1RBx/ph4aL3+aNK+Jr58DhdGRZrXhz8w4kJyerA8vcOP4GOlXvBhd9/qPpbFs2Vh9ajoSEBM25nI30z58/j3LlymHr1q2IjY1V10+dOhXLli3DkSNH8py/UqVKeP755zFu3Dh13ZYtW/DQQw/hwoULeSwWSwoZcK2UYklKBhktMPr5qut4VizujMOzT2WeF85uHhEiPDEApBwWHYnBU5zLyKWbZGGJwuuzZrDPdzZxnTtUsgMee4dntTK4ayff+UuAx7DhScx5xitugcRj6Wg7alHmHX3M4EfFehbDh4cqBgAb69zzJE2/iWLNR2JhcXV4J0xs0pFbP/EXFI+dYwrSyrGZp8U9MDDTY/5i5vXxdufOlqW5Dh3g62dE/GHxjC4ztSQ6VFznkUTt+DM0WPwmIivzjG1ivxvXRfvKh7ggI7sI8g7ZoRQwiHFs8/b2zvcF4iAwMBB6vT7PqP7y5ct5RvMOQkJCnO5vMBgQEBDg9JiS4I5O5EokEsl/FYVst1wKi9FoRP369bF+/XrN+vXr1+drxh0bG5tn/3Xr1qFBgwZ3TM8HZKcvkUhKKyVsvTNixAgsWLAAixYtQlxcHF577TXEx8erdvfjxo3Dc889p+4/ePBgnD17FiNGjEBcXBwWLVqEhQsXYuTIkSV6mbmR8k4pRe/mCr3RTavfMhmBf7JziUAjf+SSJhQ2OuHZojTZm5j8okna7SXWG/zEsa5B4jPXHC8kCG45xEMj54FPWeW2NroJd0rj+3A93G4R8kl+Vjb5hWXeN/4rzX4eUeXhDB1zeOISUsb5K2qZJ3dXmJ9LdrLQTPj18HNyJ7HcTl7WoDJqmYdg5jIad8jicxycPJZKBFitdnj6sjkRu7jH2VbxfNxctPJO+QrCeudUnLi+qvXFc+HHp6bZkGktvG29jmzQUf7jXl0RRvoA0KNHD1y7dg1vv/02Lly4gBo1amDNmjWIiIgAAFy4cAHx8fHq/lFRUVizZg1ee+01fPLJJyhbtizmzJlzR230AdnpSySSUgvdXAraXjSGDBmCIUOGON22ZMmSPOuaN2+Of//9t8j1FAfZ6UskklJJYe30HzRkp19KcfHyhIvJXSPR8Jgr5ovC0sPg46uWuWmfa66E39xqRHNeTxbLhZkvcomGh5HQuwrJyegrYscoJm5WyExNWV0aM0Zos1RxZybNMdxSiV0Tz3iVcfacWuYyCZczuJUOl3RqT31W06ZD7/2klt3LCce3a39tUst+DzVTy9yklFs5cQcp/uyS9x4Q568oTF65VMMlHEAro6WdOKWWvVj8IW4lxWWjLJY5y2Hq63iaik6Bt58Rh/8Vjn8+bkKiSkkXzz0rlzKTnsKsnJiMUyZSXKv7LnFedzc9MiyFn6YsaXnnfkF2+hKJpFSioODRfOGNP+8vZKcvkUhKJTqyQ1eAhU5B2+5nZKcvkUhKJQrsUFCAc1YB2+5nZKdfSrGmZ0DJBgxeQjPPZrHkPSqKZDFc/+X6cm6zv/y8WXkQNG6KyPV3bZgDoVtbM/MJ3MZMMbkpYe4QAjqme2tMNnlWJHYuC4sNz+cDXEOFSaMmHj6De9pys0yu4QNA9TGd1fKpL7eoZc/aIraU0VvMD2SnOvfa5bp65kVh1ulVXQT94zo+N8m15wpMZ/AU982jYqTYj3k085AdikHHyqIOdV6D3Wu7neDlJZ5Dtk080yAfcR4Xg7aT5Y87tJz4ffiVF+WMTKG7Hz1rgdlWlHDIBU/k3o71zv2A7PQlEkmpRKcQdEr+HXtB2+5nZKcvkUhKJdJkU1KqMPp5w8XkoYnyqGNx27MuidCupkDn6TBze+Ty4FzcnJOnAeRyC5cYuFRkTxfSEG8TnRMB3axpNdWyJqBZruBmmiBh+aQE5J63vK0aiSKFyQZMDuL3L7/gadwsE9BKOhWeE6aZ3KPXzCKC6ph3NDfT5AFy3cuLoF7WNBa8jslY/F7m9mLmpqf8mvhz4ffSzgK/8Yib6nkcbSPAkmVHUFkhH6X9I56Dr49o0/XU/DX0hLPimMN/OU9vWqOiCRnZeqCQvk462KErQLcvaNv9jOz0JRJJqURBwWaZ0mRTIpFIHiAUhaAUoNsXtO1+Rnb6pZS0E6fg4uIGspidbncJENYqXCLIuiRSGeaOo56dLCxfuERgucFTEzqRAgAk7d4n9ikjpAqe1tBQWaS95CkEuayisVaBNq1idpLwKOXyhiVJxPg3+oq47ZpEJsyKhUtA+QVf45Y13NMW0Frp5Bek7cy3/6hlnrzbluQ89WIWuwYud6WfThTtZpYtpjJayYlbLXHrKe5lzctc9tF4DN98Fg7piUCwWu2aJCguOvF7unZDtCkz16VlZ4v7HBYhrsk3REhFmVliH5uLAnN24SUZPQj6AnT7grbdz8hOXyKRlErkSF8ikUhKEToUnFDkQU02Ijv9O8ikSZMwf/58XL58GStXrkSXLl3yrFu1ahWSkpKwatWqu9o2Y0AgXIzuGgckIueWLq5BQpLJYEHLXIO0Vj22dOfOVjqWppAHUEuPF+fya1hHLV/btFUt+z8k8o2m7dujlvU1K4t6mQOXzkObccikcSYTkpCBOXHx9mmsY5isxffXuzuP389THHJpiAdPA7SOV9xKh0s6kc80Ucunlmx2Wh+XmbgsZb6WpJbdWUrL/FJMAoCLr7hPHj4iHj93ODOzwGoe4WXFPtzy56YDlyOAHtmBjHQbwqPFc9dvF9ZZSWksP0CumVM3d/G8jK6ifIVZ8vj7iue17WBWkZyzdDqCTleAnf4Dmj78nr3M+vXrhy5duuRZv2HDBiiKgqSkpLvepsKQmZmJt956C5UrV4bJZEJgYCC6d++OQ4cOafaLi4vD5MmT8dlnn+HChQvo0KGD03UfffSR0zjbEonkzqID3XJ5EJEj/SJgNpvRunVrxMfHY+bMmWjcuDEuXbqE6dOno3Hjxvj999/RpEnOCO3kyZMAgM6dO6ujHmfrTKYCsj5JJJI7hk4H6AsY9hbwEXBfc1/IVsuXL0f16tVhMpkQGRmJmTNnarZHRkbinXfewXPPPQdPT09ERETgp59+wpUrV9C5c2d4enqiZs2a2LVrl+a4rVu34pFHHoGbmxvCwsLwyiuvIJ05BuVm9uzZ2LZtG3755Rc8/fTTiIiIQKNGjbB8+XJUrVoVAwYMABFh0qRJePzxxwEAOp0OiqI4XQfk/eKx2+147733EB0dDZPJhPDwcEydOlXdfu7cOfTo0QN+fn4ICAhA586dcebMmSLfU7vZArvZgvT4RHUhO6mL3ZKtLpkXrqmLoteri82SrVmgU9QlOzVDLClp6mK+lqwuLp4e6mJJTlcXg3+gutizreqimNzUhaN3M6mLNT1Ts+hdjeqic9GrizUzS11sWRZ10ZzX6KIu/Nos11PVxW6zqQsURV0yzl9Rl9xkp2aqi06vVxdF0anLqSWb1aVCv4fUhV9Pdlq6upDNpi7WlDR1yQ+dyahZOPxZZF26pi56d3d1yU5JFwt71jqTy00HPObYZiPYbXZ14Rj0irqwWwydkhOL37GcOpqqLukp2eqi00FdKoboEBVc+C5NKcTyIPKf7/R3796Np59+Gj179sSBAwcwadIkvPnmm3kkkVmzZqFZs2bYs2cPOnXqhD59+uC5557Ds88+i3///RfR0dF47rnnVFOyAwcOoF27dujatSv279+P77//Hps3b8awYcPybcs333yDNm3aoHbt2pr1Op0Or732Gg4fPox9+/Zh5MiRWLx4MYCcvJgXLlxwus4Z48aNw3vvvYc333wThw8fxjfffIPg4BwTxoyMDLRs2RKenp7YtGkTNm/eDE9PT7Rv3x4Wi3NTPrPZjJSUFM0ikUhE7J2ClgeReyrv/PLLL/D09NSss9m02Wo+/PBDtGrVCm+++SYAoFKlSjh8+DDef/999OvXT92vY8eOePHFFwEAEydOxPz589GwYUM89dRTAIAxY8YgNjYWly5dQkhICN5//3306tULw4cPBwDExMRgzpw5aN68OebPnw9XV220RgA4duwYWrZsmWc9AFStWlXdp06dOvD19QUAhISILEvO1nFSU1Px0UcfYe7cuejbty8AoGLFinjooYcAAN999x10Oh0WLFigfiksXrwYvr6+2LBhA9q2bZvnnNOnT8fkyZOd1ieRlGb0t5B39A9mn39vO/2WLVti/vz5mnXbt2/Hs8+K9HJxcXHo3LmzZp9mzZph9uzZsNls0N+0yKhVq5a63TEyrlmzZp51ly9fRkhICHbv3o0TJ07g66+/VvchItjtdpw+fVrtxAuL4wtCyW2CUATi4uJgNpvRqlUrp9sdbfby8tKsz8rKUucLcjNu3DiMGDFC/X9KSgrCwsJgS0+DzmKDzo1ZklwRjlcuPsKag8emST5wVC3bMrXtMHiwcMDJ4ovCxVv7Ylfru54kjmUpFXVG7tglzkNWYUliSRYyHLeU4VZDAJB1VdTBQ0RrrIuYVYv5unByymZOZe7hwqJFEyeIO22xeDRkZ5ZQLMVhbri1UH6OV9x6p0K/h9Ty4Q9+Vstpp+LFeZJFCkGFXZuVOc/x8MmA1oJJYw3FjtcbtZZRDshWQEx6HeDpbYB3oHimLIozrDbRs3q7a/92Ek6LZ5ySJu5t7dbCee/HT5z/7guDQ40raPuDyD3t9D08PBAdHa1Zl5iYqPk/EeXpSMmJKZWLi/hBOvZ3ts5+84/RbrfjxRdfxCuvvJLnXOHh4U7b6/jKcMaRI0cA5Hwx3C5ubm4Fbrfb7ahfv77mReUgKCjIyRE5E8VyslgiyYsc6f9HqVatGjZv1topb926FZUqVVJH+bdDvXr1cOjQoTwvnYLo2bMnxo8fj3379ml0fbvdjlmzZqFatWp59P6iEBMTAzc3N/zxxx8YOHCg0zZ///33KFOmDLy9vZ2cQSKRFBbHhHFB2x9E/vOd/uuvv46GDRtiypQp6NGjB7Zt24a5c+di3rx5xTrvmDFj0KRJEwwdOhSDBg2Ch4cH4uLisH79enz88cdOj3nttdfw008/4fHHH9eYbE6bNg1xcXH4/fffiyXvuLq6YsyYMRg9ejSMRiOaNWuGK1eu4NChQxgwYAB69+6N999/H507d8bbb7+N8uXLIz4+HitWrMCoUaNQvnz5W1dyE7ew8nAxuWsckLShjsUL1XJDSB6e0ZFqmWfaAgBi8zFc0uGhdzMvCgmJSwdGFuo4dfd2tez+SHO1nJ4ijrWbhRSisL/O3BY4mhgxzIFJl49UwffXxN7JJ8aOjTmrcZlD0bHzmLR18bg8zr5aAa3jVdZVIddwSafayMfV8sFpK9Sygc2T8Xvs4hOmlnNnzuL78edoChTSHpeQvGIixbFM4jLfbKtD3lIUBa5uelyOFw5VFqu4Zp45Kzldey/c3MRvMCpGXFNmimh7uXJCKzpzNhMGKvzfnw636PQLfab7i/98p1+vXj388MMPmDhxIqZMmYLQ0FC8/fbbmknc26FWrVrYuHEjxo8fj4cffhhEhIoVK6JHjx75HuPq6oo///wT06dPxxtvvIGzZ8/Cy8sLLVu2xD///IMaNWoUq00A8Oabb8JgMGDixIk4f/48QkNDMXjwYACAu7s7Nm3ahDFjxqBr165ITU1FuXLl0KpVKznyl0iKyC3t9B/QXv+edfr5eaG2aNEiz+inW7du6NatW77ncmannvsckZGRedY1bNgQ69atK1yDb+Lu7o4pU6ZgypQpBe7XpUuXPPU5W5f7Puh0OowfPx7jx493et6QkBAsXbq0SG2WSCR5kRO5klJF1oVLsBndoGOTx6agALWcnczCDbP4NWYmNfCE2ACQcfKEWnYNj1TL3FJGk6mLSSzZPKtViJAheLwXfdkocSxzKOKyCg/jDABuoWKCm4eF5jGH+De+JvtVPsnXbRmirXp3YbFEdiFzaK2XtInUeRJznvEqK58Qz0aDKHOJhUs6Nd7oqpYPTPmfWtaxe2+5Ku6lCwtxDWhlMX4PuHUSz6DGQ16TVezj4pPTVi65KToFIVHiHqSYk9SyW6a4x15u2l42oIz4rWSkiTriD4l7e/GCkNcyMu3IshY+tLJBl7MUtP1BRHb6EomkVCJH+hKJRFKK0CkKdAX07AVtu5+RnX4pRWcyQWd0BZj1ji1DfNbzMMl2D+f+A1zCAACDr/j817NQxBoHJmYZkp3Msin5CAlDYRmauHxiO39aLZt9fNWy5ayQlTxqiqxUgNYKiUs6PPG7kVmoaLNlMWcrK78Gu9P1PLOUeznhzJW894CmTV7VheMfT2LOM17x8Mg8hg53vOJWOlzSqfnmU2qZS0D8XpgvaZOLGwPEs+NyXn7SmVe0kODSz4qQIsIKSHSYer2Cs4eZ3MUimbmbxH7lQ7UxgHyDhLxznjlqBZYTv8fMf8T98HTXQZ9deE1Gr89Z8t3+gNrpP6CqlUQikRRM7gBvzpY7xY0bN9CnTx/4+PjAx8cHffr0uWU4+X79+kFRFM3iiOpbFORIXyKRlEocHWdB2+8UvXr1QmJiItauXQsAeOGFF9CnTx/8/PPPBR7Xvn17NXAjABiNxgL2do7s9Esp3lUqwOiqtSqxM6mCZ8WyMUceU6CvWs7tnMXRxrbhScxZ0u18ZARiEUO5s5RLZBW17F5eBK1zK8sSqTNrHwDQhwqLJB4Px1TGn6137qDGHcy4c5aLD8sCxWPnMAsY7oDlXrGipk0aRyhWN09izjNe8XbwWDr8PNxKJz+rnrPf7UC+sGEtf648Exm36OLtdgsRFlKKw+RFEfslX7fAaBLP0c1FHJvKjKW2HhSWOABQLkLcz5OnhNwYXllIgSnpQoK7lgqYcwVsLAjdLeSdOxVPPy4uDmvXrsU///yDxo0bAwC++OILxMbG4ujRo6hcuXK+x5pMpnwDNhYWKe9IJJJSSWHlndyhyc1mc8EnvgXbtm2Dj4+P2uEDQJMmTeDj44OtW7cWcGROZsEyZcqgUqVKGDRoEC5fvlzg/s6Qnb5EIimV6BUFel0By015JywsTNXefXx8MH369GLVe/HiRZQpUybP+jJlyuDixYv5HtehQwd8/fXX+PPPPzFz5kzs3LkTjz76aJFfQlLeKeVkM0ccTRhdZsXCvYi5DMMdrQCtBsr3y2ayh4ElFecOPgZPYbliYCEluHxiChZ/KFxe4EncuRVQ7v0yEriViTgvTwrOrY40oZj5ek2MIjFuyogX53dj8hO/rzkHKWyb0BeIJfXOc8xNeHhkHkuHO15xKx0u6UT0bKSWcydbV5gnEncms2Wwe+AlZCYXTyEnpSeI0aZ6Pxz3XQGMJh3cPJhzm539Tthvy6jXaui+LBxzeHnnFmR+3uJaM8w2KIXPiw5Fl7MUtB0AEhISNGFO8otaO2nSpFvmrti5c2fOuZ3MFziLKMzhIWJq1KiBBg0aICIiAqtXr0bXrl3zPS43stOXSCSlksLa6Xt7excqttWwYcPQs2fPAveJjIzE/v37cenSpTzbrly5oub9KAyhoaGIiIjA8ePHC30MIDt9iURSSrmlnX7hIzoAAAIDAxEYGHjL/WJjY5GcnIwdO3agUaOcr6/t27cjOTkZTZs2LXR9165dQ0JCAkJDQ2+9M0N2+qWU7OQ0IIs0UgV3nOKxX1IOH1PLXGLhUkjO8eKvhIdKzjf0Mfu21lrBCAsfLgFlnhBZuzyqiYimPIZPnsxZl1jsHhZniDsg8fbxkMYKa9+NXXvUsmdVYUWUdIDdmyDxB89lHy4TAVoLIb2bkApMZYQVDM8YxuMM8YxXGksjFksnt+OVg/wycAHAiQUb1LJGOssUz8LgwSSuTPEcM06dUcuu5XOsjhyyjU6nwDfQhN3/iOfATg9Xo7j3Zfy0Wsv1i6JuGzvInzln+fmKZ3/5ug22Iljc3CuTzapVq6J9+/YYNGgQPvvsMwA5JpuPPfaYxnKnSpUqmD59Op588kmkpaVh0qRJ6NatG0JDQ3HmzBm88cYbCAwMxJNPPlmk+uVErkQiKZU4RvoFLXeKr7/+GjVr1kTbtm3Rtm1b1KpVC8uWLdPsc/ToUSTfnMPR6/U4cOAAOnfujEqVKqFv376oVKkStm3blid96q2QI32JRFIquZexd/z9/fHVV18VuA+f5HZzc8Nvv/1WInXLTl8ikZRObhFlE3euz7+nyE6/lKL3dIPB1Q1KFgtI5itM8rKZqySZhbaqCcB1PUlzTh67PpPFruf6uVuwCG7GTf24ls4Dl7mFCp08m5krakxKmd7LA6kB2nR/+cWJ55o+D7IGEm1y8Rft4CaifJ4g87QICGcNEnMfrixPAQAYPLlZqNDGLdeZOaavc2sRPn/BzTr5eXjwNO5py80yuYYPANEDW6jl018JByE+R8LNN7n3toEHv7uRlFO4ee+IcmLhBwaI53U0QTyHtCzx7BJv5Epy1ISl7LwgnsXxXSLIWiKLp38hRYHFVvieWq9XoNfnv7/e/mD2+rLTl0gkpRIZT18ikUhKEXrdLUb6RfhquJ+QnX4h6devn9PctMePH0d0dPQ9aU9SUhJWrVp1W8fbMs2wkUEjC5jZxBGXEVwChGzDvTUVvVaC0MauFyaEXH6x3EiDMxSNZ6qQWLgMA7Y+P49cg6c2iFx+QeEU9svn5+Ix7bkcRFzqYffAmi4kE0NkpGgqM9NMO3FKUzc3u+RezdxU1cNH2F5bksU12DLFefl94m3lchq/ft5ufs2AVtKJelbYih+b/7taNrHzcnlHMYhn5xVV7ua6nBtszbbjWFwq9ExmymKdqYEFrfcyaQ3jb1wR15qZJa41up6Q7HbtTFLLZTwJWdbC22zqdAp0BcRPLmjb/Yzs9ItA7rCmABAUFJTP3vljsVhuKySqRCIpOUqrvCPt9IuAI6wpX/R6PTZu3IhGjRrBZDIhNDQUY8eOhZWNhFq0aIFhw4ZhxIgRCAwMRJs2bQAAhw8fRseOHeHp6Yng4GD06dMHV6+Kicgff/wRNWvWhJubGwICAtC6dWukp6dj0qRJWLp0KX766SfVwWTDhg13+3ZIJPc1joncgpYHETnSLybnzp1Dx44d0a9fP3z55Zc4cuQIBg0aBFdXV0yaNEndb+nSpXjppZewZcsWEBEuXLiA5s2bY9CgQfjwww+RmZmJMWPG4Omnn8aff/6JCxcu4JlnnsGMGTPw5JNPIjU1FX///TeICCNHjkRcXBxSUlLULw9/f/98Wugcy/UUkMmqCXTG5Rlu0aLkYyWi5Pr8tdywwBlGFgSN2x5zb1RrKg/8JqQl7nXK4R68OhcWMI3JUoDWYiU7VchAXL7i16QJssYsV0yB4v5yOYkPB+0sDwC3rPGqopX/NJZDzHOXWy3ZWPx+Hseen5dbJmlTUjJLKBYPn1vfcE9bQHutXNKp9FJrtXz80z/FAezZ8yB3at03H7OLUYea9Xxx/qy4Z5lMgqnIgk2ezOVIzH9fPj7iOlKY7GPJZgH1LARzEVxyS+tIX3b6ReCXX36BJ8tL2qFDB1SqVAlhYWGYO3cuFEVBlSpVcP78eYwZMwYTJ06ETpfzRx0dHY0ZM2aox06cOBH16tXDtGnT1HWLFi1CWFgYjh07hrS0NFitVnTt2hUREREAgJo1a6r7urm5wWw23zKhgtls1oReTUlJKWBviaT0cC8zZ91LZKdfBFq2bIn58+er//fw8MDQoUMRGxur+YE0a9YMaWlpSExMRHh4OACgQYMGmnPt3r0bf/31l+Yl4uDkyZNo27YtWrVqhZo1a6Jdu3Zo27YtunfvDj8/vzz7F8T06dNvGe5VIimN3NJOX8o7Eg8PjzyWOs5iYDskDL7ewyNXakK7HY8//jjee++9PPWEhoZCr9dj/fr12Lp1K9atW4ePP/4Y48ePx/bt2xEVFVXoNo8bNw4jRoxQ/5+SkoKwsDAYfTzhYvLQyB/cGsTMpBBzwlm17F27NrvOwoUh1EgsKcJ6J+vSFbXsVk5Yq2Sx+gyeVUV9LN0hl2SyLghdwOClvc9uZYV+wB2vNKkNmWSiKCw+O4uPz9G7C+cqTZpHVlZYukQePA0AdCweu0aKYfIOT/vILZK4fJV2Kl4tc/nJckM4eXFpiMfD58HTAK30w610uKQTM/hRtcytfWxMojJfS8q5rpvPyppNOHYwBYFB4toMipBg3N3EsdZcFkXmTPG8slg54ai4piB/cZ+vpzmXAvPlFvH0H9QZzwf0su4e1apVw9atWzVa9datW+Hl5YVy5crle1y9evVw6NAhREZGIjo6WrM4XhCKoqBZs2aYPHky9uzZA6PRiJUrVwLISYhsK0Q+UJPJpMYDL2xccImkNKDTK7dcHkRkp19MhgwZgoSEBLz88ss4cuQIfvrpJ7z11lsYMWKEquc7Y+jQobh+/TqeeeYZ7NixA6dOncK6devQv39/2Gw2bN++HdOmTcOuXbsQHx+PFStW4MqVK6haNWfk60jGcPToUVy9ehXZ2UUc5UgkpZzC5sh90JDyTjEpV64c1qxZg1GjRqF27drw9/fHgAEDMGHChAKPK1u2LLZs2YIxY8agXbt2MJvNiIiIQPv27aHT6eDt7Y1NmzZh9uzZSElJQUREBGbOnIkOHToAAAYNGoQNGzagQYMGSEtLw19//YUWLVoUut0Gb3e4uLpr1vH48TouTwQL6YVLNUquMQN3NNIZWepFZmnDHYTcywkfB2uasCbRGcV5uOVPxkmxDz+Pi2ekWrbn+vrhFiDc8YpLRTyOD5d9PCuWV8s8rj+Xbvi1cQcpbg3D72XO8eK+ccmJW/J4hJdVy/k5mHnFRDptn1e0SKOocTxjKQ55PHxA62zFy7zny8+BK27WGrXsWsZfcy06HeDnb0RWlrjf7i7imjMyFbZeK+94eIn7lpYm2uTN4vi4M0ueIG8bsqyFH8cquMVE7gMacU12+oVkyZIl+W5r3rw5duzYke/2/GzoY2JisGLFCqfbqlatirVr1+Z7zqCgIKxbty7f7RKJpGBuJeE8qPKO7PQlEkmpRKfLWQra/iAiO/1SiiNdIpd0Ms4JaxUuHXhEiAlpLtvwODBArjg5DG6hksVCLruVZekBmZWJYhCSCZde9F4ing+XQjLOXxT75ErhCHJj21icG9Z289UkVre4Pm5B4xYi2mpmIZB5+5R8Ui1lsfPkroPHKOIxczQOY2ae0pJZ+3CHLCbJpJ8Vz5G3m4ey5ikOAW14ZB5LhztecSsdLulUfa2jWlZTMjKlRqcDGrcX/iQbd4tYRJeSxPVUDdN2RxlpQgYKLCOeXVRt0dYdW8W9zbYRsovgnKXTFzya193BzFn3EtnpSySSUol0zpJIJJJShJR3JKWK7OQ0wGTXxG9xZw5S3GKEO21xa5o88HDHzJKFOwi5BossUlxW4bFwyCakCkuScOayswxeWZdF9iTu7GTLFVOGSy5Zl4UUoIktxPaxJYm2GgN8xTWweDuuwcIRynzNeVgLLs/w+EaA1oqI78fvmZ5dk8E9l2TlqPuquAdchtE4m3FrKybPuJbX+pCoGa8gwiMDWjnJ4XgFCCsdgEk6ACr0eyinzTeNq4gAs9mOA38LR7wUi2hfdKB41vvOaJ39ypUTz2j/AfE7aP28cE68wuQh1yIGrpUTuRKJRFKKUHRKnqCBubc/iCjEXUklDzwpKSnw8fHB6bMX4eXtne8PW/urEP9RNH7r+f90NMczm3g+2uQ/PW4Tze3E+ahVk7gjn0nTPE3iuqwmbEQ+f9CUawbSCfye5U5G4nT/3Cv4PWf1ae6HRk/O5xnx+6rLZ3++2u68rpsnE4dwvwLiuzh/jnwfg0fOcNtTB+gUBWS3ISvpuibcQSbLi8s+RJA7/4mbUTQ+m2304hE3k8QktwIgJTUV5aOjkZycnK/3ueNv4K9x7eHp6uJ0HwBIy8pGy+lrCzzX/Ygc6ZdS/H3d4O3tdusdJZJioOj0cPPXJhpyLlYVTH7HeJfR/p9cC392GVpZUqrIunEVRptZMxI0uIhhl4V5UHLTNTbYg4tROxK2ZTsPwMYHwzxyYX6DcM0olP/h8ZEgW29nTrh5IiPmc7ydNYofY83H5I/vY7PyETmrKp+PoAJlAj6SZv/JL5Ydr6Mw1iWaLxG2e+5UgPyWW9lz5M/YymLX5zfJ6TiPq68/FJ0ediKk2QFjqkgOxH9D/Dy5r9noxuZasp1/1WSb2XoFyEwRczK3orTKO7LTL6VsfmcgPIwGzWRV5fpiUnfzGmH7XiZETCpevyomHus0FZOyAHAmTkxq8k4kNUXIMqFh4uuCdyiZ6WKfrAzRi/P28U7HhX36X70sbO7LhWknTfUuYj/+IktJFrJAcFkxOjx7Ukxg846+XIS7031c2Pl9/cRMotUq6vL2084w8hcObxM/JiOd5QlmLyJPb/En6+rmPOkNb3fydfG8jCZxv30DxTMFgAwW5uBYnOg4a9bzFesPiufr5y+uiXfc5pudcJsZ38LNPwhpdmDWFeCRGX3UffhvyMePRQ1N0fp5NH1cGBac2S98I3yDRNt3bhQvE09PPTIszn1FnCEnciWlCr9AIzxdXXCddZi//nBOLddvIl4AlRoLS43Lp0WHdzVRWJsAQGCo6Dx5x807mwR2fI0Goo5si+jwUlNEmypUEeGA+ajOm3Va5SqKfa5f1Frv+ASI/bxYzJbrF8R+iSeFZUiNhqJNcf8mifUthY5w7uwZtdyobbBajj8sOkVPX/FyO/yvsLIBAC8v0dEFsRfOVdb28GhxTXab8+u+HC8sikKiRCyis6wd/N67eYg/993/aB3GAtm94UnMecYrHh6Zx9LhjlcOKx3HF4kx9SoemdEHm0b/qu4T82pLtXzyhDj/uavaDtvNXTiTJTPtvgq7jivXxfrESxZkWYvQ6cvE6BKJRFJ6UG4RT7/AWPv3MbLTl0gkpRIp70hKFT/+ch0mvQH8d83nBU+sEFqp96+inJAsdOQyHtpP6WsZYpu7C9Ons8WQycck1p+Iv6SWMy1Ct04xi/2PnBKSx3UWYZi31Y/J+FnZ2olYk0Fxui0z2/kf9O87hNxgZBPY/7x+RNTHknMd/0xk+brM/LRsdpbU2007Q5ltE/JV2j+iPhcdm1ze7jycsiczTrFY+T1LcnoeNxaumLcpt6Xp0QQh1WXZxH48ibkm4xULj8xj6Tgcr+qPI7giZ9L2+lWLRtI5/tFfavnhdzuwVmivmc8FubuLh/HXOiH7BPkLqSzxkjZc9K2QE7kSiURSitDrbpEjV3b6EolE8uAgR/qSUoXNrsCmKPD34l6aYrufl87pejOzjvD10M50eboKGSONeV2W8xPloADxOX7tBvO85XKNMFyBt6f4rPf1ZPKCq6g7i1n+5B6d2ZiOweO0eDCLxegI8Z9LV4Q1iC0fb9ssi/P10aEsATyXXtK1bQryYaaTPuL6+P1IShNtNeTjR8DP45bJ7o1J7J/KDKy4/4OrUdsm/rwMelGuyJyfeBJznvGKh0d2xNJxeNrqdDlmmdxKh0s6f48VVj3lXnhE06YGLYVT1ylmsvlwC2Eq/H8/i5g+rkYFRYkvcC+ds6ZOnYrVq1dj7969MBqNSEpKuuUxRITJkyfj888/x40bN9C4cWN88sknqF69epHqfkDnpyUSiaRgdAYF+gIWneHO9foWiwVPPfUUXnrppUIfM2PGDHz44YeYO3cudu7ciZCQELRp0wapqYV3SANkpy+RSEopDnmnoOVOMXnyZLz22muoWbNmofYnIsyePRvjx49H165dUaNGDSxduhQZGRn45ptvilT3AyHvTJo0CatWrcLevXtL9LxnzpxBVFQU9uzZgzp16pTouW+HDRs2oGXLlrhx4wZ8fX2LdS4vVztMejsSk8RPwEriR250EVJDRFnhlJOaIT7lb6RprVK43HAuSZzLoBP7XWRONkaDc2saKwur4JPBPHXZPgFe4pwa799M7fe9C7PACfAW/0lnzkWnE4U1DU/+FZ8k9o+txDqAVNFAE5NJjiQ6t5rJyuUv5GIQdV9PFWWeq5xLCzwblLc787ZNZ0HI3MT68qHieW09KK7NyGSiMn7a8V7iDXYuZmF1UhjKwGrn1juizDNeOcIjO9Qtsud42modr4SVDpd0zn2+SdOmS/MeV8tHjwkHugrZwlyrZiXhBHfhkgX6IiRGL6zJZkqKNny2yWSCyWRydsgd4/Tp07h48SLatm2raUfz5s2xdetWvPjii4U+110d6ffr10/NVuPi4oIKFSpg5MiRSE93bp52P9CiRQsoioJ33303z7aOHTtCURRMmjTp7jdMIpEUSGFH+mFhYfDx8VGX6dOn3/W2XryYExYlODhYsz44OFjdVljuurzTvn17XLhwAadOncI777yDefPmYeTIkU73zc7Odrr+v0ZYWBgWL16sWXf+/Hn8+eefCA0NzecoiURyL3FkzipoAYCEhAQkJyery7hx45yeb9KkSeqgNr9l165dxWpz7iB7RFTktI53vdM3mUwICQlBWFgYevXqhd69e2PVqlUAcm5anTp1sGjRIlSoUAEmkwlEhPj4eHTu3Bmenp7w9vbG008/jUuXLuU592effYawsDC4u7vjqaeeyjMjvnjxYlStWhWurq6oUqUK5s2bp9m+Y8cO1K1bF66urmjQoAH27NlTqGt67LHHcO3aNWzZskVdt2TJErRt2xZlymhjv1osFowePRrlypWDh4cHGjdujA0bNqjbz549i8cffxx+fn7w8PBA9erVsWbNGs05du/ejQYNGsDd3R1NmzbF0aNHC9VOiUQi0OkUVeJxutwc6Xt7e2uW/KSdYcOGIS4ursClRo0at9XWkJCc+Ea5R/WXL1/OM/q/Ffdc03dzc9OM6E+cOIEffvgBy5cvh/5moowuXbrAw8MDGzduhNVqxZAhQ9CjRw9NZ+k47ueff0ZKSgoGDBiAoUOH4uuvvwYAfPHFF3jrrbcwd+5c1K1bF3v27MGgQYPg4eGBvn37Ij09HY899hgeffRRfPXVVzh9+jReffXVQl2D0WhE7969sXjxYjRr1gxATqc/Y8aMPNLO888/jzNnzuC7775D2bJlsXLlSrRv3x4HDhxATEwMhg4dCovFgk2bNsHDwwOHDx+Gp6en5hzjx4/HzJkzERQUhMGDB6N///6aFw7HbDbDbBa6rkOfbNnMFx4mA2LqiQBjiUeFFYA3C8CVxnT4yGhtKFuOyV38nKolChM9HpwroIz4g+GRNT29hSmngUXfvH5JeOTeYMG1eN3hFYSLbMoNrVcm1/v1zBrD3VO01YPVffmcsHFs4yvW82iY5xLEtYWxQGehwaKt5Vmb0lO0X6z5hU3OZuGD3dydR9DkAevcWJRNfl95FMpyEeJ+8MiauQPTNWwiznXjivi98LrNmWIuw8NL3L+MNLHekeLQkQDF6KZH08dDNcHTuKctN8vkGj4ArB3ys1qu/2Ybp3Xb2HxHg0a+SDdnA3+iUJS0nX5gYCACAwOLdExhiYqKQkhICNavX4+6desCyBlAbty4Ee+9916RznVPO/0dO3bgm2++QatWrdR1FosFy5YtQ1BQzo9h/fr12L9/P06fPo2wsDAAwLJly1C9enXs3LkTDRs2BABkZWVh6dKlKF++PADg448/RqdOnTBz5kyEhIRgypQpmDlzJrp27Qog5yYePnwYn332Gfr27Yuvv/4aNpsNixYtgru7O6pXr47ExMRCm1QNGDAADz30ED766CPs3r0bycnJ6NSpk6bTP3nyJL799lskJiaibNmyAICRI0di7dq1WLx4MaZNm4b4+Hh069ZNndWvUKFCnrqmTp2K5s2bAwDGjh2LTp06ISsrC65OEkhMnz4dkydPLtQ1SCSlCYdpZkHb7xTx8fG4fv064uPjYbPZVCOU6OhodZBXpUoVTJ8+HU8++SQURcHw4cMxbdo0xMTEICYmBtOmTYO7uzt69epVpLrveqf/yy+/wNPTE1arFdnZ2ejcuTM+/vhjdXtERITa4QNAXFwcwsLC1A4fAKpVqwZfX1/ExcWpnX54eLja4QNAbGws7HY7jh49Cr1ej4SEBAwYMACDBg1S97FarfDx8VHrqV27Ntzd3TXnKCy1atVCTEwMfvzxR/z111/o06cPXFy0qdj+/fdfEBEqVaqkWW82mxEQkONw8sorr+Cll17CunXr0Lp1a3Tr1g21atXKU5cDx5zB5cuXER4enqdd48aNw4gRI9T/p6SkaO6lRFJayYmyWdBI/87VPXHiRCxdulT9v2P0/tdff6FFixYAgKNHjyI5WTiljR49GpmZmRgyZIjqnLVu3Tp4eXkVqe673um3bNkS8+fPh4uLC8qWLZunY/Tw8ND8P7+JiltNYDi2KYoC+81UPV988QUaN26s2c8hIZVEquD+/fvjk08+weHDh7Fjx4482+12O/R6PXbv3q3W68Dxdh84cCDatWuH1atXY926dZg+fTpmzpyJl19+Wd2X3zPHddrtzjWD/MzLdv+bDFeDARfPic98Dw/nn/gcnsjE6JrL7O+AMG3zYck+yrA4+1dYHPsgtv48iw3vxmQiG0ss4srqCwwRx167JNqalcXsPQEYeMA1JtHwGPzH9iax/UUdF1gQMgvz+k1jCU54DPzIyuKP7xRLKGPNlfw1tJwwM0xg8erDWKIWo6t4FqeY7JbCpJSoGHENPAnKeSYBnTwlzh9eXtSb29vYcoGZjrJ76MPy0WYxeSeN1RfIpKX9B3JMKx+y5gRcs2XbcWZ/siYePg+exj1tuVkmoJV0dk9Zr5bfuii+vjd/F6+Wz8dnFCmJyr0Mw7BkyRIsWbKkwH1y90kOS8DiWgPe9YlcDw8PREdHIyIiIk+H74xq1aohPj4eCQkJ6rrDhw8jOTkZVatWVdfFx8fj/Pnz6v+3bdsGnU6HSpUqITg4GOXKlcOpU6cQHR2tWaKiotR69u3bh8xM8Yf+zz//FOnaevXqhQMHDqBGjRqoVq1anu1169aFzWbD5cuX87TDMVED5FgDDR48GCtWrMDrr7+OL774okjtkEgkt0anzwm4lt8iQyvfI1q3bo1atWqhd+/emD17tjqR27x5czRo0EDdz9XVFX379sUHH3yAlJQUvPLKK3j66afVznTSpEl45ZVX4O3tjQ4dOsBsNmPXrl24ceMGRowYgV69emH8+PEYMGAAJkyYgDNnzuCDDz4oUlv9/Pxw4cKFfF9mlSpVQu/evfHcc89h5syZqFu3Lq5evYo///wTNWvWRMeOHTF8+HB06NABlSpVwo0bN/Dnn39qXm4SiaRkkElU/qMoioJVq1bh5ZdfxiOPPAKdTof27dtr5gGAnAmQrl27omPHjrh+/To6duyoMckcOHAg3N3d8f7772P06NHw8PBAzZo1MXz4cAA58srPP/+MwYMHo27duqhWrRree+89dOvWrUjtvZWn7OLFi/HOO+/g9ddfx7lz5xAQEIDY2Fh07NgRAGCz2TB06FAkJibC29sb7du3x6xZs4rUhsLw0MP+8HR1QcPO5dR1CQfEp3Yas4LhCdNN7NPcI1fu11pMAjl7UJyL58J1Z5YXOr1Y78ckhXptxVfPVSb7ZDFJgcdFKcdSC2ak5O/bEdNEBOpKYO3juWa5SlYmSEhIFesKK6f4Q+JY/gXOk5BXZfmGy0RqJUs/JrMc/ktYtfgyyeoKk33KM9mndmthnpfJrjX+kJCTApl8FF7Zud7rz/YBgOO7RErHaGbRlcJkvoR8rLuiavuq5dbP53w546YspOgU+AaZNCkOeTx8HjyNe9oCWisdLulMDpmvlptndxTXFGiCyayVTQtCUW4h79zJiGv3kLva6d9Kw8pPrwoPD8dPP/1UqOMKsrbp1atXgTPdTZo0yRPK4VZaPzcbdUbu87m4uGDy5Mn5WtTkfplxWrRokac9derUKZH5CImktHEvrXfuJf/5kb5EIpHcCWQ8fUmpYu36azDpDdi3O0ldx2PA84+HkDLiUz4pSUgsGVlaiyEexKxhXW+1nMpkiGvXRJlb41iYY9LlL0UKQm75Ura8kD+uXxXyE/8Kv3RF65xVNkRYlvzzl0j76OPDnIuYVYo7k3qSk8S5Lp8XVjq8Pi4N3bgu9uf30p1JJ7nr42Sy++fPHMN0TFv+8ZOTarlcOXE/Ll4QMkzmP6K+FGZp5McCzvn5auedEtnxu3YmqWULs9YK8hf3zJ3JPju2XlfLjpwFr/2UDe8yQLbZjp0br+IKc6zjKQ55PHwePA3QOl5xKx0u6WwcJbzV23z8GLKLIMnobhE++U6GVr6XyE5fIpGUSnQ6EWohv+0PIrLTl0gkpRIp70hKFQadAhe9AiOzzDlwhsXCYTHVjzFpI8RHnCN3yr3TV4V8cOEvYU1S3t95uj8j+3w+x+K5+7mLdviwlIyJl8Q5A1iawcvXhYRxIUXbpss3hN8FMxbCkQRRRwAzcDl+RbQjJkjs483akZxPKsPyIUK2SE1zLhkBwNGzQgaqUVHITzYXca5tB8U9rxji3HbwzFlxbRmZok2e7mL/ayypUoZZtInfM0B738qwtJQZLDXk9TQm0XiL43m8f9ebSqDjbIoCeHrqkXhJXDMv89/QhUtaaa5BI1+1zJ33/FkMoTYfP6aW17/8C7JSU4CZ4riC0OlvIe9IO32JRCJ5cJDyjqRU4DDvNNtyRmo8Y5XZJka2LjY7W89CGXAv91x/FBabGGEqihgJZlmdj/Tt4HU7zzRlZJmQslhIhsxsvr+oy2LTtimLTajykT4b9Grqs2jWs/uR7bwdBpZtLIPdy0x2bIZFO1Ln9zkjW3wFmLPtTvfJzCcbFK+bt0nP2up4zgCgsOu05bLytWiesdhozr2jug9LAu9kn5TUVJCrKzJTUpFhsWruJUcTBTXXdaabxZcFD6/AbfH5xG1WagrMaSk3z3trM+Y0c3aBI/008/2Rz6OoKCSNvEsViYmJMuCa5IEnISFBE4CRk5WVhaioqEJlnAoJCcHp06edRrC9X5GdfinDbrfj/Pnz8PLyum2PQ0ekzoSEBHh7e9/6gBLkXtVdGq/5XtZ9u/USEVJTU1G2bFnodPnHUcjKyoLFYsl3uwOj0fhAdfiAlHdKHTqdLt8RUFFxZBK6F9yrukvjNd/Lum+nXke49IJwdXV94DrzwvKAhhSSSCQSiTNkpy+RSCSlCNnpS4qMyWTCW2+9lW+C6Aex7tJ4zfey7nt5zQ86ciJXIpFIShFypC+RSCSlCNnpSyQSSSlCdvoSiURSipCdvkQikZQiZKcvkUgkpQjZ6UskEkkpQnb6EolEUoqQnb5EIpGUIv4fCnDwUHsLYE4AAAAASUVORK5CYII=",
"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": {
"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": 129,
"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": 129,
"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": {
"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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aOpXo6lX9bL+3ASUqKooGDBigDg5tXblyhejaNfJzc6MPX3qp022oAkp+fr56Xk1NDQGgjz/+uCeHoWH06NG0YMECjXlBQUG0dOnSTtd57bXXKCgoSGPe/PnzaezYserP0dHRNHXqVI1lIiMjKTY29o72rWvd/d3yLY8VcnUVdSrvvGPsnNzy+++/4+uvv8bChQvh6Oiole7m5gb8+KP40IOWek1NTUhLSwMAyNp0wHT06FE4OTl1OaXcbMTT2NiIvLw8REREaGw7IiICOTk5ne77+++/11onMjISubm5aGpq6nIZ1XZ7u29j4YZtVmjgQOAvfxEB5c9/BoYNM3aOgLNnz4KIEBQU1PECra2iQY1Mhr8kJeGNlSs1kvfu3YtJkyapP48bNw42Nja4ceMGWltb4e/vj+joaHV6WFgYCm5TO923b18AwOXLl9HS0gJPT0+NdE9PT1RVVXW6flVVVYfrNDc34/Lly/D29u50GdV2e7tvY+GAYqVefRXYvBlYtEi0YpdIjJsfutlfpaSzjBQVAdXVgEKBV199FQkJCRrJA9qVWnbu3ImgoCAUFxdj0aJFWL9+vTpAAIC9vT2GDh3aozy2zxsRdZ7fLtZpP7872+3Nvo2Bb3mslL098MEH4o++KfSQf9ddd0EikaCwsLDjBU6eBHx9AakU/fr1w9ChQzUm+3YjnPn6+uKuu+7C9OnTsXHjRsTExOBSm9eue3LL069fP0ilUq0SwaVLl7RKDm15eXl1uI6trS3c3d27XEa13d7u21g4oFixhx4So0+YwsuDffv2RWRkJNauXYvr169rJlZU4GphITB6dK+2PXHiRAwfPhzJycnqeapbnq6mBQsWAADkcjlCQ0Nx4MABje0eOHAA48aN63S/4eHhWuvs378fYWFh6vqczpZRbbe3+zYavVcPt8NPeUxPRQXR/v26215vn/KcP3+evLy8KCQkhHbv3k3FxcWk/O9/6W+xsRTk6UnU0kJ+fn60cuVKrcfGqu9TR095iIiys7NJoVDQhQsXenVMqke3mzZtIqVSSYsWLSJHR0cqLS1VL7N06VKKi4vTOB4HBwdavHgxKZVK2rRpk9Zj4+PHj5NUKqVVq1ZRYWEhrVq1qtPHxl3tW9/4sTHrtpdeInJzI/rtN91sr7cBhYiooqKCFi5cSH5+fiSXy2mAhwc9GBhI3+3YQUREfn5+BEBrmj9/PhF1HlBaW1spMDCQnnvuuV4f19q1a9X5GjVqFB0+fFgjPT4+niZOnKgx79ChQzRy5EiSy+Xk7+9PqampWtvdtWsXBQYGkkwmo6CgIMrMzOzxvvWtu79bCZFhR2+pqamBq6srqqur4eLiYshds0788gswZAjw/PPA6tV3vr2Wlhbs27cPADBt2jRIpdLebaihAfj734FBg4DHHrvzjLFe6+7vlutQGDw9RUdMH38MlJUZOzdtfPcdcOOGeF+AmQUOKAwA8PLLosHb8uXGzslNxcXAiRPAAw9wn7FmhNuhMACAs7PoN2XwYGPnBKK9SVaWaHE3dqyxc8N6gAMKU5s5U/xbXw/8+qto9mFwzc1ihDK5XDzXNsHGW6xzfMvDtMTHA9OnA+2bg+hdayvwz3+KlnaPPgo4OBg4A+xOcUBhWpKSgJIS8Zu++Q6b/hEBX30lBj9/9FEjFY/YnepVQDGbzl5YrwwfLqowDh4E5swxQIdMra3A4sXAjBmi2W5nLwgyk9fjgLJz504sWrQIy5YtQ35+PiZMmICoqCiUmdTzRnanpkwBtm0DPv9c9PSmNw0NwBNPiGfWa9cC8+bpcWdM33ocUD744AM888wzmDdvHoKDg/HRRx/B19cXqamp+sgfM6LoaCAnB/jjH8UdyebNOhrWlEg8Fl61SnRyu2cPsHu3aFnHzFqPnvKoOntZunSpxvyuOntpaGhAQ5vxG2pqasR/NmwQr7wykzYWAPKA/7vgjuf++ihaSYKH7ilBiNfv8HG9jmfHKwEAm3KCUd8kWsQSESorr2HK4B8hKSrCsbNe+KnERTRSu3wZKCvD8OsnMNEhF78+EIsvovYClf7AWrFPuVz00wKIEtKVK5p5mjZNPN7OyxNNVdoaMgSYOhWorQU++0z7eBYsAKRScUvX/i3ryZNF39dKpWhT15aPDzB7tngI9Y9/aG83Ph5wchJjSZ871+4cjhVx8/x5UU3UVp8+ooAGiJ9E+zqr6Gigf3/g8GHg1CnNtBEjgPHjgaoq8WCsLXt7YO5c8f+tWwHVz05l5kzRAPnkSeCHHzTThg0TbQmvXgW2bxfzut0UqCft+S9evEgA6Pjx4xrzk5OTadiwYR2us2LFig7fvaiWyYjkcp7MaLos86IPpS9TqCSXfHCBQiW56jQfXCA56jWm49Jx1OrsTC/bfSLmSRpIbtNIcmkTvTTzPNH16/Tjj9q76tfv1vfnnnu007/8UqS995522uOPi7Syso4Po75epE+Zop2Wni7SNm3STpsyRaTduNHxdsvLRXpsrHba6tUiLTtbO23EiFvH6u6una56JenFF7XTXnlFpH3/vXbagAG3thsUpJ3+zTcibeVK7bSEBJF25syteZMm6eFdnoqKCgwYMAA5OTkIDw9Xz09OTsbWrVtx+vRprXU6KqH4+vryuzwWTGfv8jCT0d13eXp0y9Obzl4UCgUUCoX6syp+1bQvgzGL0dLSgrq6OgDiOnNAMX+q3+vtyh89CihtO3uZPXu2ev6BAwcwa9asbm2jtrYWgOhRizFmXmpra+Hq6tppeo+b3i9ZsgRxcXEICwtDeHg4NmzYgLKyMnXvVrfj4+OD8vJyODs7m1yfmKrbsfLycr4d0xM+x4ah6/NMRKitrYWPj0+Xy/U4oMTExOC3337DypUrUVlZieHDh2Pfvn3w8/Pr1vo2NjYYOHBgT3drUC4uLvxl1zM+x4ahy/PcVclExeAdLJky7vxJ//gcG4axzjO/y8MY0xkOKG0oFAqsWLFC46kU0y0+x4ZhrPPMtzyMMZ3hEgpjTGc4oDDGdIYDCmNMZzigMMZ0xqIDSk97llu7di2Cg4Nhb2+PwMBAfNbB++9Xr17FwoUL4e3tDTs7OwQHB6tfhLNW+jjPH330EQIDA2Fvbw9fX18sXrwY9fX1+joEk3bkyBHMnDkTPj4+kEgk2LNnz23XOXz4MEJDQ2FnZ4eAgACsX79ea5nMzEyEhIRAoVAgJCQEWVlZd57ZLt9FNmOq8WDT0tJIqVRSYmIiOTo60s8//9zh8uvWrSNnZ2fKyMigc+fO0Y4dO8jJyYmys7PVyzQ0NFBYWBhNmzaNjh07RqWlpXT06FEqKCgw1GGZHH2c523btpFCoaDt27dTSUkJffPNN+Tt7U2LFi0y1GGZlH379tGyZcsoMzOTAFBWVlaXy6vGVE5MTCSlUklpaWlaYyrn5OSQVCqllJQUKiwspJSUFK0xlXvDYgPK6NGjacGCBRrzgoKCaOnSpR0uHx4eTq+oOpi4KTExke677z7159TUVAoICKDGxkbdZ9hM6eM8L1y4kO6//36NZZYsWULjx4/XUa7NV3cCymuvvUZBQUEa8+bPn09jx45Vf46OjqapU6dqLBMZGUmxsbF3lD+LvOVR9SwXERGhMf92PcvZ2dlpzLO3t8fJkyfRdLMbrezsbISHh2PhwoXw9PTE8OHDkZKSgpaWFv0ciInT13keP3488vLycPLkSQDA+fPnsW/fPkyfPl0PR2F5vv/+e61rEhkZidzcXPU57myZzq5bd1lkQLl8+TJaWlq0+mjx9PTU6stFJTIyEhs3bkReXh6ICLm5uUhPT0dTUxMuX74MQHyxd+/ere5A6I033sD777+P5ORkvR+TKdLXeY6NjcXbb7+N8ePHQyaTYciQIZg8ebJW16OsY1VVVR1ek+bmZvU57myZzq5bd1n0yIHtu0cgok67TEhKSkJVVRXGjh0LIoKnpycSEhKwevVqdQdBra2t8PDwwIYNGyCVShEaGoqKigqsWbMGy01mUGDD0/V5PnToEJKTk7Fu3TqMGTMGZ8+eRWJiIry9vZGUlKT347EEHV2T9vN7ct26yyJLKL3pWc7e3h7p6emoq6tDaWkpysrK4O/vD2dnZ/Tr1w8A4O3tjWHDhmn0QBYcHIyqqio0Njbq74BMlL7Oc1JSEuLi4jBv3jzcfffdmD17NlJSUvDuu++iVe+DBJk/Ly+vDq+Jra0t3N3du1yms+vWXRYZUNr2LNfWgQMHMG7cuC7XlclkGDhwIKRSKTIyMjBjxgzY2IjTdN999+Hs2bMaX+ri4mJ4e3tDLpfr/kBMnL7Oc11dnfr/KlKpFCQeIuj2ICxQeHi41jXZv38/wsLCIJPJulzmdtfttu6oSteEqR5nbtq0iZRKJS1atIgcHR2ptLSUiIiWLl1KcXFx6uWLiopo69atVFxcTP/+978pJiaG+vbtSyUlJeplysrKyMnJiV544QUqKiqivXv3koeHB73zzjuGPjyToY/zvGLFCnJ2dqYdO3bQ+fPnaf/+/TRkyBCKjo429OGZhNraWsrPz6f8/HwCQB988AHl5+erH823P8eqx8aLFy8mpVJJmzZt0npsfPz4cZJKpbRq1SoqLCykVatW8WPj21m7di35+fmRXC6nUaNG0eHDh9Vp8fHxNHHiRPVnpVJJ9957L9nb25OLiwvNmjWLTp8+rbXNnJwcGjNmDCkUCgoICKDk5GRqbm42xOGYLF2f56amJnrzzTdpyJAhZGdnR76+vvT888/TlStXDHREpuW7777rcCia+Ph4ItI+x0REhw4dopEjR5JcLid/f39KTU3V2u6uXbsoMDCQZDIZBQUFUWZm5h3nlbsvYIzpjEXWoTDGjIMDCmNMZzigMMZ0hgMKY0xnOKAwxnSGAwpjTGc4oDDGdIYDCmNMZzigMMZ0hgMKY0xnOKAwxnSGAwpjTGf+H8zjWpaLuGlgAAAAAElFTkSuQmCC",
"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": 130,
"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": 130,
"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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fKKF0YwUFBfDz88OPP/6IDRs24Ndff8WZM2cQHByMhQsXKpb7+OOPUVZWpjS98847Suv6/vvvUVZWhp9//hkBAQEICwvD9evXtY4tOTkZS5YswV//+ldkZGRgzJgxCA0NRWE73c2npqZiwoQJOHXqFNLT0xEcHIwpU6YgIyNDsUx1dTUGDhyI9evXw6WNjo4ePHiAUaNGwdzcHKdPn0Z2djY2bdoEe3t7tWI/dqwRU6bkAwAkly51m8sdAADTsYqKCgaAVVRU6HrTpIXQ0FDWr18/9ujRI5WyBw8eMMYYc3d3Z5s3b25zHfn5+QwAy8jIUMyrrKxkANhnn32mdWwBAQFswYIFSvO8vb3ZihUrNFrP0KFDWWxsbKtlbe3b8uXL2ejRozXaTnMNDQ3sq69Os+TdR1ijiQljCQlar0tfqHveUg2lm7p//z7OnDmDhQsXwrqV25nq/jVuqb6+Hrt37wYAmJubK+ZfuHABNjY27U6fPO36rK6uDunp6QgJCVFad0hICC7L2yTU0NjYiKqqKjg4OGi0DykpKfD390d4eDicnZ0xcuRIxT6po74eiIkZj4uHe0LS2Nitaij0YFs3lZeXB8YYvL29O1x2+fLl+PDDD5XmnTx5EuPGjVN8DgoKgomJCZ48eYLGxkZ4eHhg+vTpinJ/f39kZma2ux35if/bb79BJpOhT4t2hz59+qC8vLzDeOU2bdqEx48fK8Whjjt37iA+Ph5Lly7FypUrkZaWhnfffRdSqRRz5szp8Pvm5sCQIQ9wLcMRzMUFkmee0Wj7howSSjfFnnbVLlHj7ddly5YhKipKaV6/fv2UPicnJ8Pb2xu5ublYsmQJduzYoVQzsLS0hJeXl0YxtoyNMaZWvABw8OBBrFmzBsePH4ezs7NG221sbIS/v7+ixjRy5EhkZWUhPj5erYQCACOGleNQpjdql8yBhZG/YdwcXfJ0U4MHD4ZEIsGNNt+3b+Lk5AQvLy+lydLSUmkZNzc3DB48GJMnT0ZCQgJmzJiBu3fvKso1ueRxcnKCqampSm3k7t27KrWW1iQnJyMmJgaHDh3C+PHj1fnnUOLq6oqhLV7k8/HxabdBuKXx+B7VsMa/fd/SePuGjGoo3ZSDgwNefPFFbNu2De+++65KO8rDhw+1bkcZO3Yshg0bhri4OHz66acANLvk6dGjB/z8/HD27Fm88sorivKzZ89i2rRp7a7j4MGDiI6OxsGDBzF58mSt4h81ahRycnKU5uXm5sLd3V3tdYzP3AsXszdwp24AgrWKwkDpooW4ObrLoz/u3LnDXFxc2NChQ9mRI0dYbm4uy87OZp9++inz9vZmjPE7IR9//DErKytTmuTHr7W7PIwxlpKSwqRSKSsuLtYqtqSkJGZubs6++OILlp2dzZYsWcKsra1ZQUGBYpkVK1awiIgIxeevvvqKmZmZsW3btinF+vDhQ8UytbW1LCMjg2VkZDBXV1f23nvvsYyMDHbr1i3FMmlpaczMzIzFxcWxW7dusQMHDjArKyu2f/9+tWJvuHmTMYClLV7KGhoatNp/faPueUsJpZsrLS1lCxcuZO7u7qxHjx6sX79+bOrUqezcuXOMMZ5QAKhM8+fPZ4y1nVAaGxvZkCFD2FtvvaV1bNu2bVPE5evry86fP69UHhkZycaOHav4PHbs2FZjjYyMVCwjj7fl1Hw9jDF24sQJNmzYMCaVSpm3tzfbtWuX2nHL3n+f1Vpbs5OHD7OqqgZmDP/V1T1vJYxpNNxzp1VWVsLOzg4VFRWwtbXV5aYJ6Xq//Qbm7Y38wED8EvMXLF78EqKiJIiNFTuwzlH3vKVGWUKE9N57gEyGW+HhMDUFJk5kSEgAGhrEDkw3KKEQIpRz54C9e8H+9jfU9eoFAHjzTYbSUuDUKZFj0xFKKIQIobqad30/ZgzY3LmK2SNHAv7+wM6dIsamQ5RQCOms338HAgP5iF87dwImyqfV/PlAZSVQVydSfDqkVULR9LVyQoxSYyPw3//yJFJbC/z8M+Djo7JYTAxw4QLQo4cIMeqYxglFm9fKCTEqMhlw7Rrw+edASgpPIv/5D/CHP7S6uPzJ+59+Avbu1V2YYtA4ofzjH/9ATEwM5s2bBx8fH2zZsgVubm6Ib3ccRkIMXF0dTyJr1/KxR0eMAH74AXj5ZeCVV4CePTtcxbFj/PLn11+7OljxaPTovfy18hUrVijNb++18traWtTW1io+V1ZW8l927QJavA9CiE4wxu/j1terDqLDGJ9fXQ1UVACFhUBBAZCby79jZQVERACLFgHDhmm02fXrgR9/BPz8gP/7PyA6GnjjDX61lJCgunx0ND9FvvmGh9DcqFE8p+XlAS06pYOTEzBjBv89Pp5fmTX3+uu8Z7kff1QdOtXXlzcHlZTwBCin7lsYGiUUbV4rX7duHWJbe6pn5UqjH+eV6DEzM96oYWqqWmZuzoe8sLXltZE//xlYuBAYPpxPNjZabdLCgt9ZTkoCTp4EDh/mCaWmBli6VHX56dN5QvniC55Umtu4kSeUzEzV744Y0ZRQ3n9ftTH4hRd4QklOBr78Urls2TKeUPLylNcbFKTePmr0pGxpaSn69euHy5cvIzAwUDE/Li4O+/btw82bN1W+01oNxc3NjZ6UJUZLJpPh1NMHTyZNmgTT1pKWgVH3SVmNaijavFYulUohlUoVn+X5S3HpQ4iRkclkqK6uBsD/nxtLQgGazt+2aJRQOvNauVxVVRUA3n8GIcSwVFVVwc7Ors1yjftDWbp0KSIiIuDv74/AwEDs2rULhYWFWLBggVrf79u3L4qKitCzZ0+l3rfkl0JFRUVGcylE+2QYaJ86xhhDVVUV+vbt2+5yGieUGTNm4Pfff1cMrTBs2DCcOnVK7c5nTExM0L9//zbLbW1tjeagytE+GQbap/a1VzOR06rHtrfffhtvv/22Nl8lhBgxepeHECIYvUkoUqkUq1evVrojZOhonwwD7ZNwdN5jGyHEeOlNDYUQYvgooRBCBEMJhRAiGEoohBDB6GVCmTp1KgYMGAALCwu4uroiIiICpaWlYoeltYKCAsTExMDT0xOWlpYYNGgQVq9ejToD7xMwLi4OQUFBsLKy0nqUQbEZW++DqampmDJlCvr27QuJRIJjzfsg0AG9TCjBwcE4dOgQcnJy8K9//Qu3b9/Ga6+9JnZYWrt58yYaGxuxc+dOZGVlYfPmzdixYwdWrlwpdmidUldXh/DwcLz1lmGO32uMvQ8+fvwYw4cPx+effy5OAF073pgwjh8/ziQSCaurqxM7FMFs2LCBeXp6ih2GIBITE5mdnZ3YYWgsICCALViwQGmet7c3W7FihUgRCQsAO3r0qE63qZc1lObu37+PAwcOICgoCObm5mKHI5iKigrF4OBE9+S9D4aEhCjNb6/3QdIxvU0oy5cvh7W1NRwdHVFYWIjjx4+LHZJgbt++ja1bt6r9hjYRnja9D5KO6SyhrFmzBhKJpN3p6tWriuWXLVuGjIwMfPfddzA1NcWcOXM67NxF1zTdJ4D3ejdx4kSEh4dj3rx5IkXeNm32yZBJWnRDyhhTmUfUp9XbxtpYtGgRZs6c2e4yHh4eit+dnJzg5OSEZ555Bj4+PnBzc8OVK1eUup4Um6b7VFpaiuDgYEU/MvpI030yVNr0Pkg6prOEIk8Q2pDXTJr3TasPNNmnkpISBAcHw8/PD4mJiTAx0c+rzc4cJ0MiRO+DRJXOEoq60tLSkJaWhtGjR6NXr164c+cOVq1ahUGDBulV7UQTpaWlGDduHAYMGIC///3vuHfvnqLMxcVFxMg6p7CwEPfv30dhYSFkMhkyMzMBAF5eXrDRsmd4Xeps74P66NGjR8jLy1N8zs/PR2ZmJhwcHDBgwICuD0Cn95TU8Msvv7Dg4GDm4ODApFIp8/DwYAsWLGDFxcVih6a1xMREBqDVyZBFRka2uk/nzp0TOzS1bdu2jbm7u7MePXowX19fdv78ebFD6pRz5861ekwiIyN1sn3qvoAQIhj9vJAnhBgkSiiEEMFQQiGECIYSCiFEMJRQCCGCoYRCCBEMJRRCiGAooRBCBEMJhRAiGEoohBDBUEIhhAiGEgohRDD/D+/Is2LkaJLVAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 300x150 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"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": [
"#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": 131,
"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": 131,
"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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",
"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": [
"# 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": {
"jp-MarkdownHeadingCollapsed": true
},
"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": 132,
"id": "e93fec13-806b-4181-9bd4-8912a2d9800d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'SP-PITCH-V2-0060', 'SP-PITCH-V2-0062', 'SP-PITCH-V2-0065', 'SP-PITCH-V2-0057', 'SP-PITCH-V2-0058', 'SP-PITCH-V2-0063', 'SP-PITCH-V2-0061'}\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 350x350 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 132,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 350x350 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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",
"text/plain": [
"<Figure size 350x350 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-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",
"batchlabels = (list(range(5, 90, 10)), ['Baseline (before)', 'Baseline (after)', '', '', '', 'Patching attacks', '', '', ''])\n",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_repeat_p0.3', do_lines=True, figsize=(3.5,3.5), smooth=1e-7, batchlabels=batchlabels, label_placement='x')\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=(3.5,3.5), smooth=1e-9, batchlabels=batchlabels, label_placement='x')"
]
},
{
"cell_type": "code",
"execution_count": 133,
"id": "a0b40116-b716-44b1-b8e8-33e69d590035",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'SP-PITCH-V2-0060', 'SP-PITCH-V2-0062', 'SP-PITCH-V2-0065', 'SP-PITCH-V2-0057', 'SP-PITCH-V2-0058', 'SP-PITCH-V2-0063', 'SP-PITCH-V2-0061'}\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": 133,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x500 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-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": "markdown",
"id": "246995e1-8db7-465d-a323-0906eee91009",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Incorporate environmental runs into baseline\n",
"\n",
"This allows us to estimate measurement variance versus signal variance"
]
},
{
"cell_type": "code",
"execution_count": 137,
"id": "dba0e4b8-4207-4f6d-8260-4e5e134cbab6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'SP-PITCH-V2-0060', 'SP-PITCH-V2-0062', 'SP-PITCH-V2-0065', 'SP-PITCH-V2-0057', 'SP-PITCH-V2-0058', 'SP-PITCH-V2-0063', 'SP-PITCH-V2-0061'}\n",
"70 2025-07-09T17:39:02.553Z\n",
"21 2025-07-09T17:37:33.769Z\n",
"setting threshold for quantile 0.001\n",
"Baseline threshold set at 0.978057\n",
"\n",
"Distribution parameters:\n",
"Within class: 0.984±0.00193 min: 0.978 max: 0.989\n",
"Cross class: 0.98±0.00347 min: 0.966 max: 0.986\n",
"\n",
"Type 1 error (false alarm rate): 0.001000000000\n",
"Type 2 error (missed alarm rate): 0.690844956542\n",
"EER: 0.19512685790021775 th: 0.9823359725826497\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 500x300 with 2 Axes>,\n",
" <Axes: >,\n",
" <Figure size 300x150 with 1 Axes>,\n",
" <Axes: >)"
]
},
"execution_count": 137,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x300 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": [
"pitch = '0.3'\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 = (list(range(5, 70, 10)) + [80], ['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",
"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",
"group_b = [group_b[i+j] for i in range(1, 71, 10) for j in [1,3,7]]\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",
"plot_vector_covar(group_a, group_b, plot_cdf=True, fig_out='patch_repeat_tridelta_all_the_data_p0.3', do_lines=True, figsize=(5,3.0), smooth=None, batchlabels=batchlabels, label_placement='y')\n",
"#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=(3.5,3.5), smooth=1e-7, batchlabels=batchlabels, label_placement='y')"
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