563 lines
299 KiB
Text
563 lines
299 KiB
Text
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "d0850083-6fec-4a51-8128-219c643397ce",
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"metadata": {},
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"outputs": [],
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"source": [
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"import matplotlib.pyplot as plt\n",
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"import numpy as np\n",
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"import math\n",
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"import os"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "3c65dafa-2226-4d12-a61e-f92a5f92bc97",
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"metadata": {},
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"outputs": [],
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"source": [
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"def load_pointset(path: str) -> ([], []):\n",
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" xs = []\n",
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" ys = []\n",
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" \n",
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" with open(path, 'r') as points_file:\n",
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" for line in points_file.readlines()[1:]:\n",
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" x, y = line.split(\" \")\n",
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" y.replace(\"\\n\", \"\")\n",
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" \n",
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" xs.append(float(x))\n",
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" ys.append(float(y))\n",
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" return (xs, ys)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "b08c4be6-e653-499c-803b-e125f2e24f4b",
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"metadata": {},
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"outputs": [],
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"source": [
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"def load_spectrum_to_matrix(freqpath: str) -> np.ndarray:\n",
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" minfreq = 1.0e36\n",
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" maxfreq = 0.0\n",
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" \n",
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" freqs = []\n",
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" \n",
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" with open(freqpath, 'r') as spectrum:\n",
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" dimension = int(spectrum.readline())\n",
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" for line in spectrum.readlines():\n",
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" freqs.append(float(line))\n",
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" minfreq = min(float(line), minfreq)\n",
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" maxfreq = max(float(line), maxfreq)\n",
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" \n",
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" matrix = np.zeros((dimension, dimension))\n",
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" \n",
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" for row in range(dimension):\n",
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" for col in range(dimension):\n",
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" frequency = freqs[row * dimension + col]\n",
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" # normalize\n",
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" #frequency = (frequency - minfreq) / (maxfreq - minfreq)\n",
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" frequency = math.sqrt(frequency / maxfreq);\n",
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" matrix[row][col] = frequency\n",
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" return matrix"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"id": "3a4fff42-a5fe-4b80-93ba-54482e755c79",
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"metadata": {},
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"outputs": [],
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"source": [
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"def load_pcf(pcfpath: str) -> ([],[]):\n",
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" xs = []\n",
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" ys = []\n",
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" with open(pcfpath, 'r') as pcffile:\n",
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" for line in pcffile.readlines():\n",
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" ys.append(float(line))\n",
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" xs = range(len(ys))\n",
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"\n",
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" return (xs, ys)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"id": "4bc08371-8322-4f1a-b78a-8a0f94dd8a7f",
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"metadata": {},
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"outputs": [],
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"source": [
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"def load_radspec(specpath: str) -> ([], []):\n",
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" xs = []\n",
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" ys = []\n",
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"\n",
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" with open(specpath, 'r') as specfile:\n",
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" for line in specfile.readlines():\n",
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" x, y = line.split(\", \")\n",
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" xs.append(float(x))\n",
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" ys.append(float(y))\n",
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" return (xs, ys)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"id": "c08e9726-cd2b-4d8a-a0ec-ef63fc8d7334",
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"metadata": {},
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"outputs": [],
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"source": [
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"def load_pcfseries(folderpath):\n",
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" pcffiles = os.listdir(folderpath)\n",
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" values = {}\n",
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"\n",
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" for pcffilename in pcffiles:\n",
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" cutoff = pcffilename.split(\"_\")[1].split('.txt')[0]\n",
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" values[cutoff] = load_pcf(os.path.join(folderpath, pcffilename))\n",
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"\n",
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"\n",
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" return values"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"id": "63bb5f2d-d222-47b8-99c8-1ebb0e1839ca",
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"metadata": {},
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"outputs": [],
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"source": [
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"def load_heck_pcf(filepath):\n",
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" xs = []\n",
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" ys = []\n",
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"\n",
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" with open(filepath, 'r') as specfile:\n",
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" for line in specfile.readlines():\n",
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" x, y = line.split(\" \")\n",
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" xs.append(float(x))\n",
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" ys.append(float(y))\n",
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" return (xs, ys)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"id": "168ce96b-c7ba-49fd-b35f-f06529305a4b",
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"metadata": {},
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"outputs": [],
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"source": [
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"def load_heck_pcfseries(folderpath):\n",
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" pcffiles = os.listdir(folderpath)\n",
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" values = {}\n",
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"\n",
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" for pcffilename in pcffiles:\n",
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" filename, file_extension = os.path.splitext(os.path.join(folderpath, pcffilename))\n",
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" if file_extension != \".txt\":\n",
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" continue\n",
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" cutoff = pcffilename.split(\"_\")[1].split('.txt')[0]\n",
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" values[cutoff] = load_heck_pcf(os.path.join(folderpath, pcffilename))\n",
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"\n",
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"\n",
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" return values"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"id": "f15def42-e258-4ff4-bcff-d8cd3a1e927d",
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"metadata": {},
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"outputs": [],
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"source": [
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"def load_utk_rdfseries(folderpath):\n",
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" rdffiles = os.listdir(folderpath)\n",
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" values = {}\n",
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"\n",
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" for rdffilename in rdffiles:\n",
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" filename, file_extension = os.path.splitext(os.path.join(folderpath, rdffilename))\n",
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" if file_extension != \".txt\":\n",
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" continue\n",
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" cutoff = rdffilename.split(\"_\")[1].split('.txt')[0]\n",
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" values[cutoff] = load_radspec(os.path.join(folderpath, rdffilename))\n",
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"\n",
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"\n",
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" return values"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"id": "cd9f363e-99f6-495d-a64c-793175509699",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"from matplotlib import animation\n",
|
|
"\n",
|
|
"functions = load_utk_rdfseries(\"../result_data/rdffiles_Heck_UTK/\")\n",
|
|
"\n",
|
|
"keys = sorted(functions.keys())\n",
|
|
"\n",
|
|
"fig, ax = plt.subplots()\n",
|
|
"\n",
|
|
"plot = ax.plot(functions[keys[0]][0], functions[keys[0]][1])[0]\n",
|
|
"ax.set(xlim=[0, 0.02], ylim=[-0.1, 0.1])\n",
|
|
"\n",
|
|
"def update(frame):\n",
|
|
" # determine maximum for plot scaling\n",
|
|
" maxx = max(functions[keys[frame]][0])\n",
|
|
" maxy = max(functions[keys[frame]][1])\n",
|
|
" \n",
|
|
" ax.set(xlim=[0, maxx * 1.05], ylim=[0, maxy * 1.05])\n",
|
|
" ax.set_title(\"max_distance: \" + keys[frame])\n",
|
|
" plot.set_xdata(functions[keys[frame]][0])\n",
|
|
" plot.set_ydata(functions[keys[frame]][1])\n",
|
|
"\n",
|
|
"anim = animation.FuncAnimation(fig=fig, func=update, frames=len(keys), interval=300)\n",
|
|
"anim.save(\"animation_UTK_Heck.mp4\", dpi=600)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"id": "05a629ba-af59-4d1d-8bc8-7c55888db52c",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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gGDRoEK699lqMHz8eq1evxplnnomMjAwUFRXh66+/xsknn4wbbrgBmZmZePzxxzFhwgScffbZ+Mc//oHc3Fxs3boV69evx7PPPmuZu1u3bli+fDnOPvtsnHnmmfjiiy/qvHTFI488gqFDh2LAgAG49dZb0b59e+zatQsFBQXYu3cvXn/99ZScRxAEzJw5E4Ig4MknnwQhBE8++WRK5uZwGgvXXnstDh8+jAsuuAA9e/aEJEnYvHkznnzySYiiiDvvvBMA8Mknn2DPnj2OHpCePXvi2WefxaxZsyxxXHVBmzZtcN5552Hq1Klo3bo1XnnlFSxatAjTp09Henq643FPPfUU/vjHP2Lw4MG44YYbkJ+fj7KyMmzduhUffPCBFpdVU7zK7UTo3Lkz0tLS8Oqrr6Jbt27IzMxEmzZt0KZNG5x55pl49NFHkZOTg/z8fCxduhSzZs2yhAXRzhIzZ85EkyZNEAqF0LFjR1sF9ZxzzsGIESNw5513orS0FIMGDcKPP/6IKVOmoHfv3hg3blzS96exc8woaj/88AMIITjppJMM28PhsPZLsWPHjrim5ptuuklTMhRFQd++fTUlr3fv3tiwYQOef/75Y1ZRA4AXX3wR/fv3x4svvogZM2ZAURS0adMGgwYNMgSgXnPNNWjTpg2mT5+OCRMmgBCC/Px8XHXVVY5zd+rUSVPWBg8ejC+//NISP1GbDBgwACtWrMC///1v3HHHHTh06BCaNWuGwYMHY9asWY5vx8kgCAJefPFFSJKEgoICKIqCp556KmXzczgNnf/7v//DggUL8NJLL6GwsBAVFRVo2bIlBgwYgHnz5ml112bNmoVAIIDx48fbzpOTk4O//OUveOutt7B3717HWKza4tRTT8X48eMxZcoUbNmyBW3atMETTzyB2267zfW47t2744cffsCDDz6Ie++9FyUlJWjatClOPPFEjBo1KqVr9Cq3vZKeno7Zs2fj/vvvx/DhwxGJRDBlyhRMnToVr732Gm655RZMmjQJ0WgUgwYNwqJFiyxJDx07dkRBQQGeeuopDBkyBLIsY86cOZaEAQBaguDUqVMxZ84c/Pvf/0ZOTg7GjRuHhx9+OKXu28aGQLz4rRoggiDgnXfewfnnnw8AWLBgAS6//HJs2LDBEsOQmZmJvLw8RCIR/Pbbb67zNmvWTBMCHTp0wDnnnIOXX35Z2//888/joYcecoxz4nA4HM6xQ35+Pnr27IkPP/ywvpfCOU45ZixqvXv3hizLKCkpweDBg23H+P1+dO3a1fOcgwYNsqSP//rrr+jQoUON1srhcDgcDofjhUalqJWXl2uVrwFg+/btWLduHZo3b46TTjoJl19+Oa688ko8/vjj6N27N/bv34+vvvoKJ598clJm5ttuuw0DBw7Eww8/jIsvvhjff/89Zs6ciZkzZ6bysjgcDofD4XBsaVSuzyVLlmDo0KGW7VdddRXmzp2LSCSChx56CPPmzUNhYSFatGiBAQMG4P77708q6wVQCwlOnjwZW7ZsQceOHTFx4kT84x//qOmlcDgcDofD4cSlUSlqHA6Hw+FwOMcTx1QdNQ6Hw+FwOJxjiUYRo6YoCvbs2YMmTZrE7SvJ4XCODQghKCsrQ5s2bQx9Go81uHzjcI5PvMq4RqGo7dmzB+3atavvZXA4nHpg9+7ddV4YuS7h8o3DOb6JJ+MahaLWpEkTAOrFZGVl1fNqOBxOXVBaWop27dppz/+xCpdvHM7xiVcZ1ygUNeoOyMrK4oKMwznOONbdgVy+cTjHN/Fk3LEb+MHhcDgcDofTyOGKGofD4XA4HE4DhStqHA6Hw+FwOA0UrqhxOBwOh8PhNFC4osbhcDgcDofTQOGKGofD4XA4HE4DhStqHA7Hlvy7PkLh4cr6XgaHw+GkHEUhuOGVNfW9DE9wRY3D4ThysLy6vpfA4XA4KUcmBFtLyut7GZ7gihqHw+FwOJzjClkhUAip72V4gitqHA6Hw+FwjisIARqHmsYVNQ6Hc5ywbNkyjB07Fm3atIEgCHj33Xddx7/99ts455xz0LJlS2RlZWHAgAH47LPPDGPmzp0LQRAsX1VVVbV4JRwOp6bIjUhT44oah8M5LqioqECvXr3w7LPPehq/bNkynHPOOfj444+xZs0aDB06FGPHjsXatWsN47KyslBUVGT4CoVCtXEJHA4nRTQm12ejaMrO4XA4NWXkyJEYOXKk5/EFBQWGzw8//DDee+89fPDBB+jdu7e2XRAE5OXlpWqZHA4nRTz71RYM75GHk3KbWPYRQhqLQY1b1DgcDscLiqKgrKwMzZs3N2wvLy9Hhw4d0LZtW4wZM8ZicTMTDodRWlpq+OJwOKln18GjOFhhn7kuKwSNxKDGFTUOh8PxwuOPP46KigpcfPHF2rauXbti7ty5eP/99zF//nyEQiEMGjQIW7ZscZxn2rRpyM7O1r7atWtXF8vncI47ZEWtl2aHQtBoXJ9cUeNwOJw4zJ8/H1OnTsWCBQvQqlUrbXv//v1xxRVXoFevXhg8eDDeeOMNnHTSSXjmmWcc55o8eTKOHDmife3evbsuLoHDOe4ghMBBT4NCuEWNw+Echxw+Wo0ZS7bW9zJSyoIFC3DNNdfgjTfewNlnn+06VhRF9OvXz9WiFgwGkZWVZfjicDipRyZEze60obFY0wCuqHE4nBSybvdh/OfTX+p7GSlj/vz5uPrqq/Haa69h9OjRcccTQrBu3Tq0bt26DlbH4XDckBXi6PrkWZ8cDue4RBSE+l6CI+Xl5di6Vbf2bd++HevWrUPz5s3Rvn17TJ48GYWFhZg3bx4AVUm78sor8dRTT6F///4oLi4GAKSlpSE7OxsAcP/996N///448cQTUVpaiqeffhrr1q3Dc889V/cXyOFwDCiEQHZQ1AgBd31yOJzjj4asqK1evRq9e/fWSmtMnDgRvXv3xn333QcAKCoqwq5du7TxL774IqLRKG666Sa0bt1a+7rlllu0MYcPH8a1116Lbt26Yfjw4SgsLMSyZctw+umn1+3FcTgcC25WM1khaCwFOrhFjcPhpAyx4eppGDJkCIjLK/TcuXMNn5csWRJ3zieffBJPPvlkDVfG4XBqA1lxjkVTXBINGhrcosbhcFJHA1bUOBzO8QUhBLJiv88p67M8HK3dRSUBV9Q4HE7KaMiuTw6Hc3zhlvWpKnDWfT2nfIbDR+2L5ALAkl9KcM3cVSlaoTe4osbhcFIGV9Q4HE5DwS3r08316ZSAAACrdhzEl5tLUrE8zySsqC1btgxjx45FmzZtIAgC3n33XdfxS5YsgSAIlq/Nmzcnu2YOh9NA4Xoah8NpKKjKmEsygWP8mvOcEbnuA9sSTiaoqKhAr169MH78eFxwwQWej/vll18MhR1btmyZ6Kk5HE4DpyEnE3A4nOMLWYlTnsPhuIhTYFucfbVFworayJEjMXLkyIRP1KpVKzRt2jTh4zgcTuNB4CY1DofTQFBcsj5l4uwWjdpYzcrDUXy1uaReFLU6i1Hr3bs3WrdujWHDhmHx4sWuY8PhMEpLSw1fHA6nfikpq8L4Od+7ZkWZY9ReXr4NS36p23gODofDAWjBW+d9jhY1xXrQ11v24+b5axGJ1r3rs9YVtdatW2PmzJlYuHAh3n77bXTp0gXDhg3DsmXLHI+ZNm0asrOzta927drV9jI5HE4ctu2rwOJf9uHyl79zHGN2fT700Sa8ueb3Wl4Zh8PhWHHt9ak4N2W3s6iFozIAeyWutqn1grddunRBly5dtM8DBgzA7t278dhjj+HMM8+0PWby5MmYOHGi9rm0tJQraxxOA+FgRdhxH8/65HA4DQUlTsKA0z4792ZVJKao1UMyQb2U5+jfvz+2bNniuD8YDCIrK8vwxeFw6heqgvlEZ7HB9TQOh3PkaKS+lwAgZlFzacpu3hONKWjR2DFXzv4eD3ywEQBQFVH3RaJKncu5elHU1q5di9atW9fHqTkcTg1xy+wUeGsCDue459r/rcaRyvpX1mTFuSYasSndEY7GFLWYwrZ21yH8urcMgG5RiyoK/FLdqk4Juz7Ly8uxdetW7fP27duxbt06NG/eHO3bt8fkyZNRWFiIefPmAQAKCgqQn5+PHj16oLq6Gq+88goWLlyIhQsXpu4qOBxOrUMzOt3cm7a7Gkk/PQ6HkxoisuJaNLauUNyastu0kKqOKWqae5PoMo0qcdUyQaChK2qrV6/G0KFDtc80luyqq67C3LlzUVRUhF27dmn7q6urcccdd6CwsBBpaWno0aMHPvroI4waNSoFy+dwOHWN5GJSc+l5zuFwjhMInMti1BZbS8pxsKIap3dsrm1zz/q0vkNWa65P9Tu7nyYTRGXFVQbWBgkrakOGDHEMwAOAuXPnGj5PmjQJkyZNSnhhHA6nYUHfLN0sajTqo6wqgp8Kj9TFsjgcTgNDIXWvqE37eBOWbdmHxy7qhT+f+gcAsVpprlmfxn26RS2mqBGieRJojJogAEcqI/jrjBV4+8ZBtXItZnivTw6HkxBe3ibfX78Hl73kXMaDw+EcuxAbt6IXPttQjC2xmLBEUQiBKAi45fV1+jaXXp+yTXmOsMn1SaAnUdEYNVqd44ddh/Hqdzvx4tLfklpvInBFjcPhJISbnkYFH08q4HCOX0iSFrU1Ow9h+/6KpM6pEKO1f/LbP2LHgaPOddRsCt5Wa8kE1mOoRY2d74P1e/A8V9Q4HE5Do67jMzgcTuNCbYae+HFR2blbgJdzsqJp/ve71e0OC7Fr2G6JUWOSCaqi1KKmHhPyi2iaFqiT7FauqHE4HE9QGZioopa86OVwOI0RhTgrSG7IiuIaA+9+TntJ42xRsyY/WbI+ocu96qiaRECVu5BfQnaav04SqLiixuFwPEHfLN0ar2uuT25043COW+xqlHkh6tLWKR6KQ800uunjn4rw97mrtO10LKsYarXSaDIBo/pFZQU+UQDV4YI+Ednp/uQWmyBcUeNwOAkhOWhhO5KMLeFwOMcWaoyat7EPfbgR1/1vNQBVeUq2/JpMiNZRgIVa9tbuOoSvNpfo2wlV1PSxh45WIyczgIii76MvplFFrZ+muz4lNAnWehdOAFxR43A4CeLk+hzy2BLu5uRwOLbxX06s230Ya3YeAhCzqCUpQxTFvl0U3SaZWt9pihqzbX95NXKzQppFDdBdnxFZgU8StPlCPkkbE5WVpFy9XuGKGodTx2zYcwTTP91c38tIGtFDwVvu+eRwjl8InBue242lVquaWNTcOhAAgLmZAC2zwa7zQHkYrbNDeh01ZnxUJpBEUTtP0C9qFrxnvtqKTzcUJ7dwD3BFjcOpY8qrojhUUV3fy0gC2kLKeURdF7nkcDgND6eszyc+/wUb95RaxlKZErUpQuv9nPbbt5aUIyIrFosaVeDY4w7ELGp2LaQiCoFf0pMJJFG3rhUdqUTxkaqk1u0FrqhxOPUAfdjHzfoOn/5cVGfnnf7pZkz7eJPn8awbggosn4um1gDa+3E4nHrGqY5aSVkYpVXGchZs/TM16zPZc9ofuHzLfry/bo8ltpZork/GolZRjbyskG0dtUhUbcZOT6MmFqgf9pdX42AtvnxzRY3DqWPUPnjqz8u37Mf63+uu1dKXm/biSyagNh52ss8965PExiS8tFpn2bJlGDt2LNq0aQNBEPDuu+/GPWbp0qXo06cPQqEQOnXqhBdeeMEyZuHChejevTuCwSC6d++Od955pxZWz+E0HgghmmvRuF2XKfvKwliz8yBIrKMAQOuoJaepOZXhAICj1VH4JKNQkjXXp76tIhxF03Q/0+tT700QkRX4JQEEQGbQh4ygT/OM7CsL4wBX1DicY4dkq3anAoXo8WNLf92Hm177wXW83SrddDA7i1pD8YZWVFSgV69eePbZZz2N3759O0aNGoXBgwdj7dq1uPvuu3HzzTdj4cKF2piVK1fikksuwbhx47B+/XqMGzcOF198Mb77jrfP4hy/OPX6VIju2pz19XZc8PxKKIRoL3ayYq/geTonc5zZulYVUSw9iu2yPmVCEPCpsWfzVu4wFLwF9JfU16/tjyW/7MPrq9SiuvvLwzhYEU5u4R6om9xSDodjoD6VFyp4vt12AB/9WITnLkvueDvssq4aCiNHjsTIkSM9j3/hhRfQvn17FBQUAAC6deuG1atX47HHHsMFF1wAACgoKMA555yDyZMnAwAmT56MpUuXoqCgAPPnz7edNxwOIxzWhXppaantOA6nsaI49PpUmLIdAZ9qJ1IUXaaoWZ/Jn5NCFSy6qSoiI+h3yvrUj1MUAn+sBMdLy7cZen2yP5tlYDiqcNcnh3MsQZBcMciUnJsQrQ+nlyWwb6ZUNpnfTO3G03M0RBeoV1auXInhw4cbto0YMQKrV69GJBJxHfPNN984zjtt2jRkZ2drX+3atUv94jmcesTJa8AWwg1SRY1xfapZn8l3JmB/ZuVUVVS2yC294C2zjaiKmqwQHA3Lqry0kWHmuZqm+XH4aO21kuKKGodT15iKQTrJpTMe/sISeFvjUzOmfC/ZVewIavZ3U74asEEtYYqLi5Gbm2vYlpubi2g0iv3797uOKS52TtWfPHkyjhw5on3t3r079YvncOoRp84Eio2iRoheRDuqKPbxFh5grflmOXSkMmKp/0jHGBS8mEVNJgThqBILFYnJPehLMytqItNaqjbgrk8Op44h8NYHb29pGEeORpAVqp02JcmKFcElSo0Kq72ltZeqXpeYEyf0ZAnBdYxbwkUwGEQwGEzhKjmchgWbMMXC9tekz4glRi1JhYc9jMBY5uNIZdSSrU5lMHs2NUZNgKIQrUG7HebEd0kQQIRYmylzwbYUwC1qHE49UG+uT+gC0pNFLcFsAnpdjy/6NYnVNSzy8vIslrGSkhL4fD60aNHCdYzZysbhHE+wSQPm7VRGhKOytk3L+mRi1AoPV+K/3+yIe678uz7Cr3vLLDFqLFFZsRTqtk0mUKBZ1Gh3AkFQlTq7pAKKJApolh7AoVpyf3JFjcOpY+oj6zP/ro8w++vt6ttrbJs3N6V1kHvWp11cSsNOMnBiwIABWLRokWHb559/jr59+8Lv97uOGThwYJ2tk8NpaLBJAyxsD9CqiKJto4qawljUSkqrsH73YU/n218WNpzPLIcUQiwWNVlT1Kyuz6isF+wVBKBaVrTkBwJrGz1JFNAiM1BrCQVcUeNwkuSJRb8aesJ5RU0mqIUFxeGRWNsqPUYtseP1jCcX16fN7fh0QzHO/M/ixE5WC5SXl2PdunVYt24dALX8xrp167Br1y4AauzYlVdeqY2//vrrsXPnTkycOBGbNm3C7NmzMWvWLNxxxx3amFtuuQWff/45pk+fjs2bN2P69On44osvcOutt9blpXE4DQqnl1GDRS2iWtSOVsvGrE8tdsz7C23E1OfTLF9lxRpXRqcmJgXPLwkIR42CLBxVEGBcmqyeFpBEiKKA5hkBHKilEh1cUeNwkuTpL7egPBxN6thk26TUBBJLmd9SUo5Jb633VFjSbpnJtJAqPFyJJxb9inGz6q++2OrVq9G7d2/07t0bADBx4kT07t0b9913HwCgqKhIU9oAoGPHjvj444+xZMkSnHrqqXjwwQfx9NNPa6U5AGDgwIF4/fXXMWfOHJxyyimYO3cuFixYgDPOOKNuL47DaUCoBW/tretU9lXFFLWoohh6fRLG0uX1hTYSVYyWMWKUbopN3ChV7MwySxQEzS0LqDG51VHVoiZAfWFllT6/JEASgIygD0fDMmoDnkzA4dQxrPm/LqGButVRBW+s/l3brijEsdE6sfmZjnz6yy24ediJhvHm62IzpTbuOYLvth1Mdvk1ZsiQIa4K8ty5cy3bzjrrLPzwg3tR4AsvvBAXXnhhTZfH4RwzOPX6ZOurUddndVQx9vrUxiZgUZMVQ2cCoqglM2jMGKsAsmsBrMEdkihoawMACOrxPqZXKKvz+X0iJFFAUBJdExBqAreocTg1wC0D0gk1I6ruNTUn5fDPz63ArgNH4x5vFnRP2CQMxLUUNuK6ahwOxxtOMo6NXauKysgISIgqxjpq/1u5E1tLylUPgMfzRRRiiVHLyQxi0wPn4v+N6GJbgFfL+jRtN1vUADWejX2ZZS1qAUmEKAgI+ERUR7mixuEcEyRi0k/9ua3bfio8gnkrd3gebxejRhU0t357HA7n+IBNCmBh66uFIwrSgz5EZNaipmBLSTneX1cYK+XhTZ5EZcXgaqXnSAtIuLBP25gr1GxR09fEIgoCwoxFTYhdjyTY11HzSyJ8ElfUOJwGS7INT+ojRs3LeY8cjeDN1XoBVna85vq0sYqxAcDO5/a6Sg6H05ghxP55Z5MJqqIyMoM+RGTdWiXLujuSEIKDFdX48ffDcc8XkRVTZwJ9nygIsbAP4zFa1qdpLkm0JhOYOx0wXlAEfDGLmiRaLHGpgitqHE4dk4jrM9XKTbzpvvltP/7fWz+6rsXO3WuX6m53bu755HCOfdxcn3RzOKIgzS8B0OVClHFHKgT4ubAUV7z8HSa+sc71fNWxLgLa+Zlzi4KajW5xfdrUUQMASYRB4SIA3l+3B6IoaO5Ys+tTEgUE/ZJFwUsVXFHjHNNc/781+GHXofpehpF6rCvmpEc5VdwgNp/sxlKhZ74uS3IB19Q4nGMet2QCVlbQRulsjBqg90OOKgpKq6J4+4dC1/NVRZwtapIoQCZWVyx1lW7bX46j1Xr2vhqjpitc+8rCeHzRr2r3AaiKn8H16RMgxSxqPJmAw0mCTzcUY+2uw/W9DAte9bRkXauJzudUG802Rs1lnNt1NcaitxwOJ3EUQvDRj3vw7FdbDNvZjHe1ZplRUWMtagT2dRntqIrItjFqgNqHU1asko/qVJe99B1eXr5d265mfeoWNRp3Jop6cV42Sd4fq6MW8ImG2LZUwhU1DqeOMfehS4Sa9tDcW2pfkNHJ0MWKN831KVhdnE41iVgqkqw5x+FwGheEAO+u24MXl20zbDdY1AjRisiyvT4B3XUa9aipVUZko+uT2ScJMZelKTyD7VbAJgGYLWqaohaLdZNEwfBiG5BE1aLm4xY1DueYIZE6ama954yHv0z9gjyiJRNAsKxfMQlBt+M5HM6xDRUDTYLGUq1sD1CFqMViAdaipreVSiQ7vipirKPGWteo65PujjIvlbQVFPuCKYnGrE8aryYKgnaMoTOBT4QkCQjWYtYnL3jLOeaprwxLJwgBKqtlFB+Jbx2rr+btGoYAXfW7nUWNvvi6Z32SpOrOcTicxgWVW01CfsN2g+tTYVyfMZMRtaht2HMELyz9zfP5qqKyMUOdkUOCoLo52dg4v6Rb1MKwxrRVRWU1CYHohXklUYg1ZxcMvT5Zi9qB8jCisgKflFobGLeocTg1IFk9amNRKfpPi28dqzM1LSZ3zKFq7PmpIBQEq0LmlExgHMOTCTic4wEqBTJDRlsQIcDkt3/Cyt8OqDFqPvsYtZ0eCnCzRGVFOxYwWcgEVcGim+h3WYGtRU0UBBCiK5k0Xk2MJRNYW0jFsj59It5dtwc/FR5JaO1e4Ioah1MDklGkzMe4vTnWpTVw7a5D8FZAQ7AkJXgqz1Hf1kEOh1Mn6BY1q+sTUHv/ygobo2ZUpqI2sV7vrP3dso0SlY2dB/aVh1FapbaPMmd9UtlFGNenbHKVAkBWmrr2ilhGqCgYvQraeEmI1VFTS43kZAYd15ksXFHjHPPUpn6QjPKRyDF1qdv8ZcY3rufXYtQE67oULe7DeX7etYDDOT7QYtRMrk+qLAmxMXqMGgwWsYiNIJny3gYAwO+HrNa2sKxoiQEA8NzirSitVBUsGvhvzkxXEwNE7Wcql6XY+CZBalHTXZ8U1qImCQIkEVqpkZZNuKLG4VhQFIKSGmZDJkuqVY/8uz4yVOJOpqJFZbWM77cn1vycxo6ZY+Lssj5FG0WNDdB1QlF4wVsO51iHfRHNDEqGfQpjkVII0WK5aEYlxS6EgipKf5y+GD/+fhgHK6q1fQfLq9E03a/NLQkCnvlbb22/AKMlja6FKnc0cUEUBC1ejlrUKLR7gmCqoyYK6tqodTDkN15zKuCKGqfR89XmEpzukg2Z6lpkNSXeau5992dmbOJr/2VvGS5+cWXCxwFwzVqiaxHsXJ+Klxi1hvX/wOFwEuehDze6tkpiRYBPFDFv5Q4cOaq6Idk4V3U/a1HTZU/ExvUpMX2bznt2BV5avg2bikoBACVlVWiREdTmDEcVBHz6eMKsi63jprk+CYGsEFXJo65PkzVQFFQZKMR+BoA5V/eDKKrJBX5f7alTXFHjNHqqaqm/mheS0T3iHcMqNAvX6HEZikfzGvtGu3hzCR7+eJPntZkVNUKAsqoIzi1YpmmYdskEWv0jN9cnL3jL4TRYjhyNaIqPG6t2HNTcgXaw8kchBPe9twEf/rQn9tk4llqmBJNFLSrbWdSMc0uCgJFPLQegdg9onhGIjVML1vpNmZfaoYyi5pNojJquuNE1ZacZFTWJWav6pVrdJEHtTBDkihqH0zBJzlpnf4xmkmdk4EvLt+PSmStBCPEc48WO+uTnIsw0FZ20g77hmgs2EgCHKiLYXFymbTtYUW2Js/Pi+pRjqe0cDid5CCHYXBxfoUqU9b8fxj/mrcbjn//iOk4mxoLdv+0rN+xnlTGtAXtMsTPLB6NFjVHUbArdSrFsTO0zEzNWWhVFswx/bE7RYlFjz81mqGtZnwrRPtNtZkVN7fXJfBZUpU4SBYiigJzMIHY8Mtqy7lTAFTXOMU+tetxSOLeTsvPttoMgxLtFij08mqAVy87loMV2xD5/+GORo0XN7XQKITxGjcOpIfvKwrj//Y0pn5cA+P1QJZ75aqvrOEUxPufX/W+NcT8jgKhcoK5SLUYtJgkkTVEzWtQidhY1STDMzSYPAEDIJ2lzVkVkLWbMsn6bzgRK7EVYjFnHAGgxbxS2PIf6GVqXAqmWX0C5osbh1ACvatBJ93yCJb+UqMc4HESVJLv9BLrQm/X1ds/rs3Mh2EHFjNX1aU0m0BYE4LHP1LdvLy2keNYnh1NzFFI7cbdeY0jZNlCEENe4Vqp70Ur/5hg1iQnQj/dSuftgJdb/rtcoE02KGs26lGxi1ATooSP0LIqix729ueZ3rNiyX7OOATauT5NFTdAsakbrXm3AFTXOMU+tGtQ8Tl4tKyiKdSJwOiQSdVZ2WNfngx+qb9MlZU6Zru7ZU67rNCtqhp+NsSeA6i4BgPnf71K3uyUT1E53FQ7nuILAe2slJ9im49q8HoWZrBDtOZdjLkOWJ7/4VftZ0Sxq9i+hVMEhBJA9vFROfGOd5VhKkLGohaOyVvqDoilo1PXJWNQAYH9FtcEylmV2fZqsZmIs+1MSBIvSmGq4osZp9MRrS5RKQ86181Yb505CDXS0qCn2cRzqeaxK0On//hKFhytd54/IiqduADOWqEV3LU2FibOFD9AVu/99uzO2dudz8GQCDqfmEIIavX0SQnD+cyss272+SClEVxTZQrKUF5fqMbH05ZIqhlodNcHY45MQ4D+fbUY8fYdVrMyuTxrM75z1SfQPMBa8BdRSIkxiKdJMZTboUM0aGItPEwTBspZUwxU1DicBPt+4t9bmdnV9OsSoyTLBq9/txB1vrtfHsvsVAr/o/TG3KGrMfIbit7EPZndFXNcnD1LjHKfICsHPKWgvpNgoR4kQjiooPFyJ8nAUo59ebpjX2/mZOC/F/QVMNlnU2IK3AAwxYh/+WGTJ1DTD7rda1HTXp12MGr28krKw1hmBVbAIMc4Z8IkYfUpr0/n0fsWs29NsbUs1CStqy5Ytw9ixY9GmTRsIgoB333037jFLly5Fnz59EAqF0KlTJ7zwwgvJrJXDsaU+EwmTKs/h8DpMXZ92sVwEzlmfX2/Zj7eYMh6GNHeFJBQ/Qa12RyojlrWyZ6enMCcfuBe85ckEnOOXPYcr8ehn7hmVXiCkZuEcpVURVISjOFRRjQ179OxRrwZvWSEG96HbcVQc0GQCcwsmUVPU1M81UtRiFjCfKKAqYo1Roy+XH/5YhLdW/64WuGXmCEcVg8IV8Im4Z1Q37bO2j7Gs0QbtDS5GraKiAr169cKzzz7rafz27dsxatQoDB48GGvXrsXdd9+Nm2++GQsXLkx4sRxOMpgVo+qognGzvkvJ3OGogvfWFSa2HgfBRq1Z9jFq9q4JVVgYt10681vtZ1nRawV5gepdb67erZ2XCjhDYkHsnppj2twUtQNMJXEO53hDIalLAaiJRa2sKgqFAJWmODWvMWoKIZosYpU2O5wsaoCqbOoWLXW7Oa7MDCvLzMoRtaDR7ZY6arHvB8rDOHS02pD1CQDhiGyYM+gTNeWMxqNFZKLFsYliLD5NaICK2siRI/HQQw/hr3/9q6fxL7zwAtq3b4+CggJ069YNEyZMwN///nc89thjjseEw2GUlpYavjgcJxJ9RCojMpZv2Z+Sc28qKsUtr6/D74eOYueBihrNpWVOOsSKJJo1mX/XR/h66/6E4iec4uPY74CubFotau7z13cdtRkzZqBjx44IhULo06cPli9f7jj26quvZopb6l89evTQxsydO9d2TFVV/bQ04zRc2Jeems5Tk3DP8iq1B2Z5OGqc1+PxCmtRs0kmYIkqBAGfiHDEWJ7DfE46hy8Bi5olRs1PY9TU70511PaXh3E4pqhRBatd8zSEo4ohmSAgSVpcWtAnQRJVTwOt16bVUBOsiQapptZj1FauXInhw4cbto0YMQKrV69GJBKxPWbatGnIzs7Wvtq1a1fby+Q0Mj7fUOxZ6JmHpfKZonNfO28Nxs363tsxjtv1rM9/f2Ssk6Ra1JKTzoeO2j9ndpiFrtMt1hU17zFq9c2CBQtw66234p577sHatWsxePBgjBw5Ert27bId/9RTT6GoqEj72r17N5o3b46LLrrIMC4rK8swrqioCKFQqC4uidOIUAhJSWKTQhwyfDxSFlPUjoaNFrVkYtTiWdQisoL0gGQTo6ZGekVjL3o01tWp9tkjfz0ZgNHiZj4tjVGj7kxD/Bkz/kBFNQ4ejRhi1C44ra3q+jTFqNEXy5Bf1PY1S1c7IIgxb4bq+nS8BSmh1hW14uJi5ObmGrbl5uYiGo1i/357q8bkyZNx5MgR7Wv37t21vUxOI+Pa/61BRXVyraNS+e6TXNan/TF0s0IIXlq+3XIeuzfXVL/ImZMDiOnDKW2zAQD9p6m9VSvMb+UNV0/DE088gWuuuQYTJkxAt27dUFBQgHbt2uH555+3HZ+dnY28vDzta/Xq1Th06BDGjx9vGCcIgmFcXl5eXVwOp5GhJmumwKKGmlnUyqrUFzezRc0856c/F2PVjoOW49m4NNUN6mZRU5Dul5g6aup2Krfoix61zDvJs2ax9lCsRc18WlqegypfZus9HX+gvDpmUdPrqPklEeGobLSo+USDRY1azWirKt2iJhj6kNYGdZL1ab5hetE7+/+VYDCIrKwswxeH40RjSyaIN5dCYElTJwQ4dDQ1MV5unlA7oatntVuTAQ5UVGPeyh3a53glOOrr/6q6uhpr1qyxWPeHDx+Ob775xtMcs2bNwtlnn40OHToYtpeXl6NDhw5o27YtxowZg7Vr17rOw0M7jk9qaAhj5iFJK3xbS8rw3XZV+bK+ZBnn/HVvGbbvt4ZzWFyfrhY1grSAxHQmIKb9MYtanBpq1NLmYxQi83nZrE8zohDrjCIAByrCKA9HoTAWNZ8oIBxRLFmfVDkL+kVNidMtakyMWi3LtVpX1PLy8lBcXGzYVlJSAp/PhxYtWtT26TkcC/FE3D/mrUZplXd3YTzshJ0dWqsmYvNyA+AvM6wKRTKCPz3gc9xnFn6EKdpkty4AuO+9DdrPv+4ts+xnqS+dev/+/ZBl2da6b5ZPdhQVFeGTTz7BhAkTDNu7du2KuXPn4v3338f8+fMRCoUwaNAgbNmyxXEuHtpxfEJqWFZDmwd6HOt32w4YisDGY9WOQ/j052I0TfdrljWKeW1RhdgqUGx5ENX16Xy+qKwg5JcsBW/p8dSCH/H4ghfwCUgPqJYzRSFonhHAExf3AsDGqNkpagIishqDpijqZ4UQSDENyyeJVtenpCtqIZ+k7cvLDsXmjCUUHAudCQYMGIBFixYZtn3++efo27cv/H6/w1EcTnwE008zlmy1VbDMb4rxZOWijXtRfKQKhYcrURnHvepF7A59bImn87NCzPzYx3OXJoJbbJ8lRo05B7Gx9LGc3a1VypI0ags7676XBIe5c+eiadOmOP/88w3b+/fvjyuuuAK9evXC4MGD8cYbb+Ckk07CM8884zgXD+04PmGfpRrNwyhK3247iLd/KMTug0exYU/8Gm1RhSAcldEk5LOEjpiTmGRFsW2OrnYmYH92TybwS6KljzGVMzRrPGpTv5FF0ixfoq6oEVVR++tpbQEYOxPYHS8rBKIoQBD0Eh5UqfNLQsz1qR8T8InaH5mQX3WDrpz8J5zbQw1toC2kRLEBdiYoLy/HunXrsG7dOgBq+Y1169ZpAbmTJ0/GlVdeqY2//vrrsXPnTkycOBGbNm3C7NmzMWvWLNxxxx2puQIOJ8Z/Pv0Fd7yxHotjPTUd8SAsZYVg0CNfYcYS9wbFiWZxHa2O4qc4RS8VQixZRE5nMQcoe1mP2wg71yW7xU2p8dVynEZNyMnJgSRJttZ9s5XNDCEEs2fPxrhx4xAIBFzHiqKIfv36uVrUeGjH8UmqkgnYOah+MPX9DbYWd8saFLU3p18SLQqW2aImK/bN0UksmaCktAoyie/6lES9dwwb2wZAUwSp5c5pKup29IkC0mKKmllWaZ0JbPyQkqiX1hAFAc0zAjhYUW1QAN9Y/Tv2loYN8xmzPgW0zk7TlDJRjHUnaIhN2VevXo3evXujd+/eAICJEyeid+/euO+++wCoLgI2i6pjx474+OOPsWTJEpx66ql48MEH8fTTT+OCCy5I0SVwjle0+oPMM/L5xr0YP2cVXl6utzExP/xe4juoIAlHFew+eBSXvfRtnCO88ebq3x2bqmsWNYVYYrmcBJhZuHr5Q+A2hgrdhz7apI3VY9TcXZd+X8NV1AKBAPr06WOx7i9atAgDBw50PXbp0qXYunUrrrnmmrjnIYRg3bp1aN26ddyxnOMLtVBtqpIJ1Hmo0iAI8PQCGlUIqmUFflE0JA71f/hL/LbPGKIhK4qtpYu2jTr94S+hKMS17EhUVgxWeDpOjrkfqYIWidO/ir4gRhWCdL8aumH2PNByHHYtBUVBgKwoWjmNZukBHKgI6zFqMeXu9uEn6fMxrk82Xo2dUxSBYd1yMeiEHNf11xTnYBUHhgwZ4vrWPnfuXMu2s846Cz/88EOip+JwXGFdcma27C2Pe5wbrNzYtr8C3/x2APl3fZTUXF5hY9QsdXmc3KWmz15iYNz+WJjfsn8pLsO32w7E1mW19LH4PZj/67OO2sSJEzFu3Dj07dsXAwYMwMyZM7Fr1y5cf/31AFRvQGFhIebNm2c4btasWTjjjDPQs2dPy5z3338/+vfvjxNPPBGlpaV4+umnsW7dOjz33HN1ck2cxkOqkgnYXpv68ygYnuvr/rcaY05pg7G92hiPVQgiMoHfJxhkRXFpFQ6Uhw1jowqxZIEDxrg06j599btduLhvO0vtsohsrPavWdJiPYipxS5eMoEkCnjkrydj+Zb98PuE2FxG+Uct+ubajoBqeYwqBKKgNoFqmu5HRNblGS370bllJgDgi4lnqS5NpritWfbRXp8ntMp0XXsqSFhR43AaA276gBdZSQUKIcTyYnKooho7YsVtU1drXBfiMiHWrE+H85jX5iVt39WiZprgjdW7tcbvBHA1qSXSAaE+uOSSS3DgwAE88MADKCoqQs+ePfHxxx9rWZxmbwAAHDlyBAsXLsRTTz1lO+fhw4dx7bXXori4GNnZ2ejduzeWLVuG008/vdavh9O4qGmPTgprwWIbhbOP7mcb9qJ5RtCiqFHFy2eyqAHQYr8A4LXvdkFWiK3SQ12fAHA4lok+/dPNuPfdn7HjkdGGsawyBOhrpK3tzumeC58oYNmWfa7XLApqEL+sEDRNCyAnM2iRVdSNabdmGqNGv9MSGxRa9oO6VanypTdgh6VWmlAHhW4pXFHjNHrsnhV2GwHQ7V+fYtOD56qfPQhLXVGz7pv19XY8u3ir4/5koVOprU3sGwqbobKKXq83i5ozZuGXiByK16cPqP+e7DfeeCNuvPFG23123oDs7GwcPXrUcb4nn3wSTz75ZKqWxznGSYW4YC1zVFGwe65oN4AbXlmDqef1QG5WCHLMVRCQRItbk7V2P7d4K87q0tLW0iUzL6+HY8W0w1F712VUUcCKMtaiJgoCzu2Zh/6dmuPLJ0pi16afL80vaW2uqEWLdjr415hu2HXA+FxS8WMXV0fdrJIogADITvPHzqfup/I2aLII0vtr13hdFGq/Gbt2rjo5C4dTx5hdbJURGZuKSvGvd3/2ZHViFR5r4cTkxa2bkkj3KcSqILklE6jHwvDdfRHOu8yBwQaFN87cXhQ1Dud4hXVZJktVRMa4Wd9pjzAbp0sMMkvv5VlSFtZqplHdzO8TLBY19iWtrCqiukkVBU99sQXrdx82jKOKGbWo2cWyXTmgA6ImixpdYjSWgQmoMWV22aWsG5W6GWVFgQBaXkMfe/1ZnZGXnQbA2aIW1WLUBGQEVRsVjY2jrk+zrKcWSzulLDvNX+tlObR11MlZOJwa4FREVRNWNvvsnp+Vvx3A/77d6TGZwHgOu31A7VjUAKtJ3UnBUxSjMlXTGDWLRc1wd93n9tJTtJ5bfXI49YZaktD6DIWjslamIh4RWcHBWJ9KQJcTZsUl5NOtUWVVEU0pkzXFRNSedSpbWMWtMiIjHFUQlQme/OJXfLahGAVf/IqSUrWHbVVsbtqezk5E/2tMd+cYNUUP7xBE+xg1VgkSBbWsRlQhWlkM9qXyrpFdEYopdtWyYmlFpbk+BTWZIM2vujhLKyMISKJjj1HWomZWyhZcN4ArahwOpfPdH9tud7NOsQoGMStdXrKjGMFhqcPGTJBCPU2X4URXNHvFWjZtLrYvJGtWuhJt3G7GrbNAvKmlBh6jxuHUJwT28mLBqt14Z+3v3udgYsSoomB+AUoLSFoNyPKqqCbPqHxgFTWaECAzVq2ITHC0OqpZygiAgi+2YM3OQwCAymqjRY3CWtYkQdDKc1BY16fEKJlOCQDazyLN3FQVPEmMZccbxscyQ2Vi68KkVjxBEBCKKWoHK6rRLMPvmAhF76tdrbS6UtIArqhxGgk/7DqEy1+2L5Fhl0lojFEzK1rxoaZ4O+XES92ym+evtfTSi39ufS8VOtTFcPnL39kfQUzr8fBinkgygSG1Ps68dmnxHA5HxSmZIBxRHGO8zNDnW49RU79//JOxPmDIJ2pWr7JwVK9XplBFTdCe9aJYspDZFXq0WtY6BpjXTa11hyuNBcZZmScI0BQrbf2xaYpLqwzxdfTc7FlYuU4tWtFY6SKt0wAzud4/VNG6FFACPhGbi8q08hw0aeDQ0QiapQccC9bSNVBLXH3BFTVOo+Cn349gxdYDOOeJpThYob7FuSkOBoedaaAXo5NWgBHWyvVulbgp76/fg+IjVfjkpyLP52b30VM6CXBaKsQsQL24Pt3GmPeZr91NVnnLgOXKHOf4xKk8h1OrJjssSU6m55NavEIBCVURBYQQlIejemcATVHTsz5vi7WgMsu1o9WybiEjxtNVVqsKWalJUSurYhU1IdZf0+rdeOXbXVi9U+05Si1lZtgismJMUVIVP9X1GY6aFTX15+qoonUpoFw5oAOKS6u0grdprEUtPeB6/5dPGqoqivUYt8EVNU6jgFqutpSUY7+p3o8ddlY2OoebQnHL62sB2AekUlj3opt4lRWCG171Xj/Q7m2SZm45cd6zK7Bqx0Htc03T/60xasz6SByrmsvOET3U6v88Ro1zvKKW+rFulxXFNeSAhS0bBFhjcf/fW+sB6BmTFdUyCNFfPKOMokbPmd8iAz3aZNla1PQXViPUonbU1IaqOBbDxq6XVXBY+WTOWFevS//Z4PoUVJdlNKaoSaKAalmxxMUKghqjZnZ90ixPmj1KFbUjlRE0zwi4yvt2zdO1VlH1BVfUOI0CxeYBpg+13ePjphC4ycT31u0BAE35sau6bRCqLnPZZTK5ocfS6e4CLy6R/eWqhfHzDcXe6qi57DML621MQ/l4FjO3vTmZwfgL43COYQjsX6ScCsvaobdgUr+brTxU4QjFFLXymIWLWsZkxvWpuRuJ2pTcbFWqrI5qrk+zDKysVpWhKuZFMiMgGTrC0HXaledgYS+hc6sMZjtrUVOvVVbUQrmiKCBisqip41SXqLnwLi2/IcWSEtIC6uf/N6IL/nZ6e1dFDVBj4uqqFIcdXFHjNApsYxdcZJshmcA8l4PVid3+0vLtjnOzihpVXuyeYa9vyebzs50JvMauAMC1/1uDSbE3avfzOO9jhXWnlhmGff98ba2r49I1ESHuqjicYxun505WiCGQ346tJWWxdk3GmDGz8kCzR2kMWnlYdU3qWZ+sRY3GrSnwi9ZyHRWM65MtqwGoFrWsNL/BonZK26YWCxugy2viUJ6EXsMV/dvjX2O669sZ7YSW1YjKqitVsolRA9SXdoXoMWgUWn6DWtRoMsFNQ0/AH0/MwSltm+LaMztZF8ecvz6rD3FFjdMoMNQIMu2LV/DWOpf9dru32t8PHcXVc1YZthkUNWL8Hm8+N4XFoIzGvoej7q5PM4t/ca/wHQ/22uxiMtyUvFRUXedwjlWckgm8WNTOfmIZ3l5bqMkIbbTpEaXFXiVRQFRWUEotaorRouYTdddnVCbwSYJFWayslrX56PLCEXVMVURGVshnUMyCftG+hpmgJwLYQS/BJ4qazPn5/hGWGDU2OUGMuTjtLGoLru2PF8f1MWyn5TdUy5henoOSlx3C3aO62a6PzsstahxOHIyB9rE3NBe1J5lwAruA0n1l1ng4o0XNmcQtavrP9BrtqmzXJmxzZLv087CLi8BLogQPUeMcC7BxoV5xSiZQLWrxn/PSyoglRs0sgKiiROuq6a5Pk0XNpwfwRxRi21LqaLWeLUplLbXwH62OxixqevJAyCfZylBRMDZgt+5XpYJPFLQX7Mygz6AYUUuYlkwgCqiOKpYOLhCAts3S0apJyLCZxrJpyQQmi1s87DoT1CVcUePUC4QQFB+pij+QjmckkvlxsRN+hofKY/X+iMeYMkMygUc3oj7ezT1oH7hblxgsajaKmlthTneLGre2cY4dLnphZcLHEIdXy6jsLUaNbYZOHzVz3UT2+RSgl8swuz4DTNZnJKrELGrGuRTCZL9Ti1rMwr9i6wEEJNFgUQv5RS2mjUWMldZwkq9UVEuxGmfm7YDRKifExlabarQB0KxtZmjXFDGmDIZ8iSlqI3u2Rte8Jgkdk0q4osapF37ZW4b+077EwYpqT+Uu2CFaiJr9S2VsEPDC0t9s91NxaT6v7RufzVuUYrCoOa89UYsaO5U5GLauYO+BvaLm7Ip1U9Q0ixo3qXGOU9hCtSyyoniSgVGFaOPoPOb5qEUtKhNIkoCyqgiaBH3adqrYGVyfipo9aSevzK5MalErPFyJYd1aGWJogz4JEZsXOa20hoNFTatVJgq2BWwBWvBWlalCbL5lv+5D0ZFK41ywt3z5JKNFLdEMzgGdW6BVVij+wFqCK2qceiESVR/a0x5chE9+Lo4z2qj0iJrrU8XOSiVAwCOfbAYAfPhjUWy8Md7CLOTs+tXZPc7s2y+dovBwpc24BLM+tTkJ+uU3w0Pn90zo+FTArtmuxEl1kq5P+kbLi+JyjlfUFlLW7V6zPmVF0Z4xc/YnRSGq/JAJgU8UUFYVRdMMP6OU6a5P+lIWkYlBcTOvTT23+p212J3dLdcwNugXbWWeGMvSjHeNZvei+We1PIeiuVIBYNyAfOu5bOSWX9QtanT/z/ePcF1PQ4IrascAhBCMemp5fS8jaWjDYLf6aG5vnHa72Gd1O1NiAtAVO/Nxdmb7eNmc9KcjlRHsOngU4aiszZ9sjBqBqtCc0CoTgDXwNVX0atcUANCjTZa2jV2zXe/OZF2fd47sCgBITzA2hMM5VnBKJvAaoxaRdeepniHuPJ8oCCgPR9E0TS/oSq1afkYxi8gKJMmoSNFemfTllZbhYJObzFZ/vyTaymJaLDbei6vExKgBMFi99KbsamcCau0f0KmFYQ5BECDYaDWsRY2Ng2sscEXtGIAQYGNRaX0vo8b0fegLbNxjfx1sLIbu+tRsUJbxdnYbs6s0WYuasY6acY4xT3+Ne9/9WZ0vUUVNE8LqzzSlvLbcoLQ1Z8smeo0zNnnBLuvTVVFzkcOZQR8+vnkwevwhO/GFcjh1RGW1bNv6LRU4GNRiFrX41ne7GDW7F9hoTFGTqEUt3a9bxrRen3pT86hMLK7P9KD6QkXlQVXsuadZnwAs1f9Z1yVbN1GIuRrjdV/wWSxq+j4x1vqJFryl48xJAYKDRY0qaj6pfpMCkoUrapwGRZVDDJSbRc3OkOOlPIdFUbO1qFknYgWa+ZD95WFsLSkHALzy7U7nRbisS/+5lhU1kdY30rex12Z3D92yUOOV5xAE92QKDqe+mfjGOs+JAk6/y19s3It/xV7WzONrkvUZVXSLHB1t9zgqRFfUyquiaoskU3kOv49JJlAUQ9bnaxPOwC3DToydUz2ONnhnQx/M/TRFQQABcGKrTKy+92xtuyRQi5r7NZrjxqhCJQq6W1SWaYyaui9kko0CHJIJqOtTEGBOFG0MNMIlc8wcS3/6WOE3fs732s92mZbO9rR4VaR112fBF7/iv9/sAGCfTGBrUTOsxXiMEBNWALB8y37rmV3+s4jpZypwArVUaZEqoayCFe/Nvm2zNMd98f7WNMIXWc5xxv7ysKcWdYDz7/uSX0vwP5uXNKdkArden0eORrDrwFEANEbNmETg5voMSCJKqyLITvNrL1iaoiYyBW9l1XpPPQpBv4TmGQFtzQCwdtchAGaLmrn6vwBCiOU5VzsJ2HsszMezyhr98bnLTlPLdYi0hZT+kmm2qImivcWMzlvfZTaShStqxwCN3UrBZk6yzzJbvNXtGbe3qDk/jFpqu0JQ8MUWTHl/AwD7/p7xYtRshbXDf8d/v9lhK8D1dbHz6s2MzQLRjv83ogsA+0xNJ+yGsn8w7K79znO7Os7n5fewcf+mco51FOK91l+iBZ4JEu/1+eBHG3Hmo4sBUIua8dxOMW8KIQj5JZSHo8gI+jSljK2jpicTGMtziAKQFfIb5jxQUY3mGQGDRc38AimKQuwF03gHqbsyIhM0cYkLEwVT1mdMQLVrnq6ti8aoUdllLrMR7/+OJiU0NriidgxwLP3xcxJ+di1W2N6YZmxj1Mzf3Xp4elyjeb1uImBzcRl2HTzq6Rxg/mB4cX1S4XhqLEHAC3YZmKx7ItEMzbiuTwjH1i8r55iDEOLZ4uIkL8zHR2QF1/9vDRTF/mXGrY4aa4WSFYL3Y72Izdmf5nXJCkHIL6KsKoqMgGSxqPkMyQTGgreiICAzZFWorujfwZBMYFZ4JEGAohDL9misg0BUUdCtTZbWNaBvh2aGcWzBW7oO83c161O3vNm5S93+/2hngsYGV9Q4DQpnRU3/2aygeY1RM7+FWlPb7RQ+G2WGsTqlypgZjsoW1ye9Bi+KGn25TSSBgcZq0GswCzC7e2hWik9r31T72YvrM15jdw6nPlGIdxe907NvPjwiK9i2v9wxmcAtRo3dXB1V8OzirYZz21rUYtsCPhHl4SjSApI2v6HXJ00mMNVRk0QBTWKKGpulnRmUDK5PM5KontscqRGRid6bk+mz+dYNA03H2ycTUDlFuy2IsZg3O1hrm/0aueuTU080cs+nAadrYQXSV5v3Go+xGW+nYJk7E9hV4vaC0fVpjlFLThn538qdhgshhGjX4CVGjQofL4UzzcfQ9Vrasdhg/v9h357pvXBybwg2x3M4DQk7150T5q4AjuNiiphjMgFxVtTYrZURmdkee9m0OU7rPuCTUBFzfVLLHI1BDbAtpKJqeQ76WRCAJjHXZxPGBZoR9BkK3ALA+vuGaz9LoghFscrealmBKKquT9HFohXyS4YjBYtFTd/n9H8kxLGo0eK7jQ2uqNUj/zd/bUrmaWhWCsVjFhPFKetQ3WeNxfhiU0lsp3EMi93DqNcesj/Obh63N1Z1v3mvkJQyEo4qhv/H99fv0d7s/R4UNRqblohF7Z7R3Qzz0xR2SqIvnvS6/9AsDc3S/Zb9atZnYnNyOHVJIvG+TtZ/s+uPKmoKMR4z+e2fsH73YcguBW/Z8Wy7JqeCt/R8gPqCV14VRXpA0mpEUmeATxT1GDWFwG92fcZetthaY5lBn8H1CQDZ6X5N1kqiav1i5ZhPFBCJqkVqozJxdU02Sw8YzJFSTKnSLGuM4ub0TinAXW6Z21Q1FriiVo98sH5PSuZpaH/8Cr74NekCvM6uT/vtPxcewS2vr7Nst3XbmVym5intzmC3nrW7DrvuT/a/g52KdcGYFSg76IhELGpd87Kw+cFz0SJDrXnE/iFQ5/R+XsDoWrYXho1PQHIaBmt2HsSWvWW1fh5C4Ll8w0exjifxiCok9nJnfKWe//0ufLahGFGZ2MbgqgtSvwmCXnQWMD5rt59zkuEQOlXQJ6K8Oor0gI9xfSpa1qSh4K0oaGtgFbUmTKxaRsBnW0eRXhN1SbJhKj5J0OaPxOLLnKRA03S/QXiKoqpQagoajUtzeeHzxVHEJG5R43BUdh48il8SEKqG2Cyz8uTgpqTHHaiotp3T7mE1F4s0uy7slJxEla6avKxZ3IoQsOqesw3C0vm86om9umMooQS7HrhNT/94uFn16tv6O2PGDHTs2BGhUAh9+vTB8uXOLxRLlixRK52bvjZv3mwYt3DhQnTv3h3BYBDdu3fHO++8U9uXcdyx8rcD+PH3I7V+HoUJOYjHtI832W43ywBFIZBlEmvvZB1LLWrvrP3ddj0ALA3Q2WQCs3yg7k2/pFr3Az5R7/WpqJ8FQX9OCVEVHN2iRmO54rs+2bVIsfIarBz1S6Lq8hSEmEXNOcSkqckKL8a6EZhdn4Jgn6EPWJML7PbzGDUOxwGnB8uM2UJFP9kqagn+zTcrCWbFzN6i5j6neQ41Dis5ZcR8lCCoXQO8/OGg8ikRi5p+XuMxvWMJAvbJBNY1UlhF2NaeVs+uzwULFuDWW2/FPffcg7Vr12Lw4MEYOXIkdu3a5XrcL7/8gqKiIu3rxBNP1PatXLkSl1xyCcaNG4f169dj3LhxuPjii/Hdd9/V9uUcV5jdhrUFId6zAmnM2NNfbsGanYe07ebnlfbyJMQqGxSiKlZlVVE89cUWzPp6O2Yu+43ZrytqlSaLtxrzRuAzhUZox8SSkPyM9UxWFKT5JbV4LGPFM8aoqevfNm20IZkg4BNtFTWKL9Yqin1ZDEgiqqlFLfbd6f8xOy1gkC+CIBi6FbDfMxziYO3a3rE49QJt6HBF7Rigobk+7Tjxnk+wyaHNldnlZ9xHYyv0HV6sMnYPozlTynzfbN2YcW6ueb1CDSpQWIvn0h88HCwkHqPmlQtOa6v97NZ3lO1xaicLBdRvdY4nnngC11xzDSZMmIBu3bqhoKAA7dq1w/PPP+96XKtWrZCXl6d9SZJ+DwoKCnDOOedg8uTJ6Nq1KyZPnoxhw4ahoKCglq/m+ILWBqttnN32VmjJi/3lYRxwKZJL105sJBftIlBaFcHRahlLf92HJxb9isc//wUfrN+jyZeATzQkEwCq/JIVvdWcfj71e3pAVWakWCC/ej4wipq+GrZzAKvrsGEXQZ9ocL+aEUXVAma2qEVlJVZHTYFgUuRYstOMFjVJUOek/x1UpguCgNysEHY8Mtp2DW4QUjOvR33BFbVjgPp2J3mltDICAFqLJTtkzRwf+x7bzj78bKxZItYratVzcn3aTRVv+ngxbIlgsVbFNDRPelrse6KN4G1PTOeMSTT2LXXQCS1w96iuljGArrQ6rUEQkku0SAXV1dVYs2YNhg8fbtg+fPhwfPPNN67H9u7dG61bt8awYcOwePFiw76VK1da5hwxYoTrnOFwGKWlpYYvjjuEkLjW7VSR6B/yqEIMSpT5eOratLMKEqIeX1oZxdFqGZKgPvf/+3Yn5q3cock3v41FTYndE8kUVEddnzTOzBdTligBn6gVj6WwihtbNJtNZMoI+ly7NmiN05lr9PsEg+tTEgRHmR3wiQb5IFKLmlYzjW53XALO69XGeSeglfdobHBFjVPnnP3EUhyutI8tY60y6md1e5x+vp6YsUR1KVDzPSs0nVLn473F27kyksV8Kj0mI75gocK1tq0OgiAYGi7fOKQz/nPhKQD0WBnHbDgA9WVT279/P2RZRm5urmF7bm4uiouLbY9p3bo1Zs6ciYULF+Ltt99Gly5dMGzYMCxbtkwbU1xcnNCcADBt2jRkZ2drX+3atavBlR0f1JXrU41RS/AYhRgsTfT48nAUpVURNZlAti/PQTPkVYtaFHLM9UoVJDrezqKmxFypZosa9WhS9yBbI00AMKJHHgRB0DJBAdUSpXcm0OdjX9KahHy2vX7/0FRtKyfFLGqyyaKmujxVBVIU9fWxbHrgXO06KbSZuznr000c3nr2Sc47QQsauw5pkMSPUuY0eFIhvyrCURQdqcIJrTJrPpkDdtYXM3S7FujqUi8o2eu++EW16XJ5VdQwl73r032u1L7l27s+vcgVqqglZVEzkYjHtUnIr6bVA5j215Nxcd92CPhE3PDKD9Z5G4CANCu9xMXV1aVLF3Tp0kX7PGDAAOzevRuPPfYYzjzzzKTmBIDJkydj4sSJ2ufS0lKurMVBcbGoUdeilzI28SAeLC6GVm8xaxlr7aKH3/TqD1j66z488teTIRP7GDWZqMfTbMqqatlwfiqT/JJgjVGDet3m+ofUokW7C/gko1I2eVQ3rN11yGRR049nL5+Nf6MvYml+yaA0fjHxLEx8Y53eOJ2Zl41Rq441VLeTs7RnZ/OMADY+MAIA0KZpCDsO+G1j1JIlM+TDkZhnpzHBLWrHAKnQFWYu24azn1iagpmcYZ8vVmDtOngUD364EYAumOjDTt++2GbhuuuzZtf+5+dWaD+rMSRW4r3F27kyksE+0N67QPLVQFEzH0E/U+Edz7VOBWd6wIdBJ+SgX35zR6WsvlyfOTk5kCTJYukqKSmxWMTc6N+/P7Zs2aJ9zsvLS3jOYDCIrKwswxfHHcVGyaHc/8EGXPjCyhSdR4+vdHLzsY9YRFGgKARHI9bWSodjCsH63w+ryQQ2vT5pnBmlPBw1PPZ0T8AnGfps0mMVYi3fQ5MEaDypXxJhLv9htnwZOwKwrk82Rk1C0CdaAvnTAup2SRSQ5pcM1kVankN1faqdCeKJKBpb98Cfe2LO1f3Qqkkwti51f7J10HY8Mhq5WSFeR41TP6SiKbt5DnNhw1QgGhQ1/efvtx/ArK+3A1CFY1VE1ixquuKW8uUYIIBtskPiFrXk/i+o0GWh8iTqVGOJgb75uiUTZLo0RI63Nje81p0SINRbNGUgEECfPn2waNEiw/ZFixZh4MCBDkdZWbt2LVq3bq19HjBggGXOzz//PKE5OfGhQfd2bN9fkbIaawSxVkUKwbhZ3zuuhUL7dFZVW12f9HtpVRRKLOszLCsGOcMqhgBQUR01WdTU73Zt5Og9cUomoNvZZAKK2SrlVPXfbK1rEvIjM2hNKJJi9c4ygj5V2YxxSd92uLRfe0N5jkT+XrVrnq4pVtp3z0dbEYTG2euTuz45Frbvr8DQx5bYZtXUDKtJ38z9H2zEtn0VGDegg2GcIZ5M6/Hp/MAn8tKUkxkEIcAjn2y27ItnTbJ2N/B+XpZHP/vFso1egl1ciBlqUXMrz+FUOPfsbrl4Z22h5bxe3zztXBHO5TnqS1UDJk6ciHHjxqFv374YMGAAZs6ciV27duH6668HoLokCwsLMW/ePABqRmd+fj569OiB6upqvPLKK1i4cCEWLlyozXnLLbfgzDPPxPTp0/HnP/8Z7733Hr744gt8/fXX9XKNxyqK4p5MQH/f3ln7O/JbZKB3+2ZJnYdNNKIvq2+s2o2zurREblbIMAZQFTWZGJMJoFl+1O9lVVEtmaA6qmDkU8txesfm6nkUYxP4inDU1vMQtHHrUleqJZkgZsGiref8ojGZgF0brWsmGCxq+jizzMgK+TQ3JYskqjLIHMc2bkA+AGDq+xvUgreic9anV2ri+ozXtL2hwhW1Y4CU/OkzCYua4OU5dLP8lFVFMPxJNWCbBv6zb9OG+VNw8T5RcFTIdh+sdD3Wqe5bKqACxSxk7dBi1GJv6Hb/B04xPKNPaY2bXtM/O7lC7RAEY5ZYPOpPTQMuueQSHDhwAA888ACKiorQs2dPfPzxx+jQQX0pKCoqMtRUq66uxh133IHCwkKkpaWhR48e+OijjzBq1ChtzMCBA/H666/j3nvvxb/+9S907twZCxYswBlnnFHn13cs4+b6ZOPKtpaUIyBJ6N0+ufOoweZqHBU93ddb9+OE3ExNUWOf+YiiQJZNWZ8wxlKVV6kuUNb9+P32g9p1sZSHo5rrjz2X32d9xmjcnt/0/IVjvTWpFU6S1NIb0VisGLs2v6TWRmOVF1ZpM1vrmoR8CNqU6KHFbp2s9qIgIBJV7+3p+c0t3RQSoSYWMQHePQANCa6oHQM0hjpqgNHK5RZLxe665fW1AIClv+6zjHO77kSeZUl0LhthzrQy41T3LRXQ+7WpKL5bh1rUorE3dLu3VrNAd0Jr8B6b49weeXhrjbVquj7eus22jpqDAlmX3Hjjjbjxxhtt982dO9fwedKkSZg0aVLcOS+88EJceOGFqVheg2fngQpUhGV0b1O3cXWqUuKgqIFoD7ysJN6dw3ge/fdU77ShOL4oaha1al0JMycBUVegnWWcFq0FgIyAhIpqGUxStZ71aWdRg7pGWmuMjq2OKvCJelFYv6i6HatlRVPe6DNOi9iyzzD74kVdn9S70rt9M9vYPdo+yqkQLc36lAQBrbJC+L9hJ9qO80JNDGKN1aLWCHVLjoUU/PGL96t78QsrkX/XR97mcpiM3WwQfKZx7OffD7lbtFJBIhYhM7VpUaNv5iVlVXHH0hg1RXFOP/fbxLnYoSURxC7m7O65uPNcvXYaW61cgL2L1K6bQmMM4uUYWbXjEBb/UlLn53XL+lQUXfFgFZ9kICBa5iKVUVGZGDqrsNb3iKxYynNQ6JrKYtnldpZxtTi0gCV3DMH5vf8Q22oNETF3HwAAouh1wVjlIxxV4JMEnNGxOb6560/wSSJkhSAcURDUFDV1LFUAjckE+jnMFrWp5/XAv88/GYvvGGLYTktzOLW7E2NxcqmwZtVEjqgxao1PDnFFjeOJH3YdAgDk3/URyqqSS282ludwcGWa9rllXZqzoJLF59LWJB4b9xgTEJJp4eQEvV1epvQZXJ/2giheexXtvDZKVttmadrPw7vnYdU9Z+P//nQCOrfKTMh62UiMvxwHlBoqQjU5r5MVnkAPyGcVLJZr5632lBGtKOpzx7o+VbchK5P08e+tK8T63w8bLO/aYxb7TssA2YV70E35ORlokREwHg9dNko2z7RCCBSFQBKN+8MRWWtO3qZpmtYQnbWoCYxFTf2sr52VH+ZkAgDITvejY06GYVtG0If0gOTq+ozGOhPUlJooWoLQOJuyc9dnIyQiK9qDCNRNZwL2DOGogp2FR3D4aAR/PDEnqfmiLgHyxjpFzmsZ9vjSpM5tRnRxfcbju1isCaWu/oQN6NQC+TkZmP+9GlPVOlsPdHaSQ57rTFGLmuFY5o1bFNCySRC3D1drjB0oty9ebDdtfSYTcGpOXXYIYIkXoyYw4+zW9/nGvbHCq84t0CiCNo86UURWDJnX7EvdY5//CgDGOmpajJr6ubza3fVJoc8n68ak57Kz+lPXpyAIBi9GOKoYFCy/FHN9RhXGgqbu0+LYRD1D1C2ZwAlqcU8P+NC/U3PLfkkQUKkQW4UzUWqiaPFen8cBZ/5nMT76sai+l4ET7/kELy/frmUlpeJvH/u7a/d7zAoUURAw/dPNuOHVNZAVgp0HKrydg/nZLY4kbjWKFP+hUJMJUkNZVc0SMVjiyRN2f6eWmbiwj9qT00kQ2aX426G7PvW7Yvdmra3DZtuc8f3w+EW98KeurWzXy2mc1FWHgPJwFNv26a3m3BREAt0KRK1MyUKLFStMb9GobLSo2V2+XSwrVdg0y5zJA+CztFsSY9v1Z41eit2zQ93BoiAYFDnq+qRIoppMEI5aY9T8JtcnLVpLsYuNc+Pkttl4/doBlu2iKKBaVlJizaqJHHEK1WjocEUtAXYdPIrPNxa7NqatK/798SZM+1gtJ1EXL7jsOURBb7Xy6c/FOOvRJXj2qy1Oh2o4JROY1+/V9ZkqRMG5/1x9kuibX8AUf2LGq0XN7rxub9Z2y+zWOgsX9GmrtZcCVKFfm50vOLWPW6xYKpmxeCv+xFjMFcVFFhgsai5JB8zmymoZ93+wwTKGJhOorlZ1W1RRDG5LO1lRZdPr87d9xp7GEdON80nG4q/0+ZREQbPqEcai9sktgy3XQ1siGVyfUdkQ5kDLc1RHFQR8qkVRSyaQjK7PTjmZhmfdLjYuGfyigOqoErdpuhdqVJ5DbJyuz6T+F2bMmIGOHTsiFAqhT58+WL58uePYJUuWxEyzxq/Nm601qxoD763bgwWrdtf3MgDAUFiwprBxSXYxSnYVtUVR0FwCX22OH2DMzutWnoPdVReKmk+q3UKsJyapnCQqj+wCg1kGdm6Bv50ev1URPZy99W5v1na/L/o+nRaZQUwZ2yPu+TkNFzcXZG0iuyUTMHGZskIcrfWsLCk8XIk5K3YAUJN1qLWLJhOw1xlVjMkEduuotOn1WVJmzI40W9T8kmhYUyCmIPmYnpn0XKIgoFtrY6btzfPX4u21hRBNrs/qqGKorSbGPAbVsmJRzPwmC9uMy09D0Ke7h726PuMR9Ku9Suvb7SjgOHF9LliwALfeeivuuecerF27FoMHD8bIkSMN9Yfs+OWXX1BUVKR9nXhi8um59U1Dsb7QX7e6Xg91f7DZRnYr2FtqzFZknw+32mCGGDWbiVMdkyeJAkgtdj64pF9yfRzdFCB1vxHNtelwWMgvYWiXVvY7bc7L3me3N2s3udcY3QwcZ4iLxSqVmH/f3FyaquuTjnPrI6zvYC365z+7AhPfWI+j1VHVogbjdVpdn9YT0F6dABwfCPPLaUASDdfkYyxqWi232D475WL974e105ldn+ZsTbpGzeoeGx80vdyZz+NPUdGxoE9CZbVcowx7ipcC4E6ojd5rvIQ6J+ElP/HEE7jmmmswYcIEdOvWDQUFBWjXrh2ef/551+NatWqFvLw87UuS4gd1NmTGPlP/lcc1y0fs88QF6+rkvDReRID7H+kB077Eo59txpGj1ixRQzKBSfAZM0LtAnA9rDH+EA1JcC54WxssvGEA1tx7Ni7p667AJRKjBugB/26HuV3ljUM6A1CbIQPG+5zsmzVX044tVHdb7Z/HnKFMCDBv5Q6s2XnQMpbEwjCAWAcDB03N0KOTeVEsD0exvzyM7vd9hrKqiFaHkCpzEdlYR81uekPBWIdripheTgM+o0WNDU2QYrXPqPyz02/YRAD2/B//VGRRiAhRkwks5TlMn80yJWUWNZ+Io9XRGsWXUWrS3lAQGufLY0KKWnV1NdasWYPhw4cbtg8fPhzffPON67G9e/dG69atMWzYMCxevNh1bDgcRmlpqeGrofFT4ZH6XoIlWPVtpg1QwnPFSSZgUQjUuBDWomYjvBQCPLf4N/R64HMAwIEKPTvQEPNhNz/dZ2tRi08if0xquxCrWTCIgoAWmUHbViyG4xI8j5415nyk23V2aJEOADjzpJYAgEtPb4/ZV/cFoDd4tl2ny0Ibo5uB40xdxaiZFQ2FEJRWRfHGKmvhZRpXpq/PKUbN3qJGiP57GpHVN1CFUUijCkGEyXCye3lkFRqnX3lzprvq+mQ/GxMA2BIhdpYoNtSBWsj6d2qOnQeO2sajVsuyJZmArlvvp2k8xs4ylwwhv2pRS4U8MFgvE0RspOU5ElLU9u/fD1mWkZuba9iem5uL4uJi22Nat26NmTNnYuHChXj77bfRpUsXDBs2DMuWLXM8z7Rp05Cdna19tWuXnOuoIZMKd2Uq/wYmMhUB0ZoJJ3LcVbO/x3+/2QHA3fWZimSCeBYyWpjxxXF9sOvgUVz84sqkzuMF8z3yIqz+OfQENE0PJHQeb1mdzveF/pfQ9bVqEsSfuqrPete8Jlhx159sj3N9Q22EQpHjTF3FqJktam7ZjwT67yxrCTPjZFFjXadyrGC0MetTMbo+beYOSKLFYmYmqphj1ASDNZCNAxUFxGLU1LPZPWN+ptSGJKi9Pem1mxU7QRAM5TnodPQ+0+Fm2WTuI5osqkVNTkl5jpooasdNjBpg/aWhKc12dOnSBf/4xz9w2mmnYcCAAZgxYwZGjx6Nxx57zHH+yZMn48iRI9rX7t0NI3jfjhtfXYPDR73VkWJJpaxzUkp+KS7DL8Xx2w8BiVnUCKHCMXEz8vc7VNeFWzIBe2+SfXuPd39pSvuIHnnYWxrGlhI9QysjjqUrUcy3yMstGz8oX1O8Pr/tTDzKZE9q85i0ILMQtsPtvtAgbPuWUAL+0DTNugNqo+bsNL/tvkYoEzku1FuMmo0g2HXgKN5bVwgwyo6ba5Zdd1XEaCFj5ZgA1ZpFn4eooroND8U8AnbXnxH0OVYDoPLEHFsV8EmQFV16s1YwQRBiddLUz3YhoqwSJwrqixqVq7YxajKxLcfBfrYoail6gEN+KZZMUPO5wjW2qDU+oZSQopaTkwNJkizWs5KSEouVzY3+/ftjyxbncg7BYBBZWVmGr4bKxz8V49QHFiV8XCpEnSZcHCa78dU1+OdrP+C/3+zwVJXbK4TQ8hy6GZmY9juhvfky69ls6mUZz6KWijd6tb+ndZ7JI7vi73/sWOP5WZIRC2y7p5Nym+Civu20fnvavLGJqbDVXJ8u87rdOfrHMFFB1iTkx/opw233NT6RyHGjrlyfVoua1bK06+BRrPztgKGOmtesTzbOicbbUkTRmJQQlQkW/vA7ej+4SBtvJj0gaZmf5tNnxqz31qxPAazuxj7zQuxa9sXax9k9k9SCR12ffklwtKjR81NXp+b6FGlyQezak3ip9ELQJ6quzxRoajWJUYPQOF8eE1LUAoEA+vTpg0WLjIrJokWLMHDgQM/zrF27Fq1bt07k1MccqXR9xptpyvsb0Pnuj73PG+fPq15oMXGLGn1O2ZgPcysog3KWtEXN/UDBYWo7gZiXFUpuEfRcpjmpMHVbY7xCk6wVdeVk1SXppU6aq0XNpKilppByI5SKHEcSKXi7YNUufPpzcgXC7WLUAOMfWSUWIE88x6jpPxssakwLKkC3qOnlORQcZOJr7Z7bNL+EqlhjdvN+2lbJXEfNH8v6pJdqtoJt31+B/bGuH3ZyiboARUG9X35J1Fy05gLVhKiZq35NUVO3mxU3syKViixNQC3PcbTBxKg1PpmUsOtz4sSJePnllzF79mxs2rQJt912G3bt2oXrr78egOq2vPLKK7XxBQUFePfdd7FlyxZs2LABkydPxsKFC/HPf/4zdVfRCEmJRS3B8d9tO4ART9rHBibyB5VAdxdozzEjnNymoqZ02SXF+tttemaXrUXNyxrjDHK6XrvN3dsYLbp2bkj3cxk/e7Fuem73BKBVE1WR9NLL0y12T1PUUpi+3vhEIscNNsA9HgcrIjhsk/HtBccYNdNawrJiULTcyngYXZ9Gi5ohazMWo6ZnfRJTwVvr3CHGomY+fZOQGhZgtqjRuDZz8VmW8YPyAThZ1PT1iYJgqMtma1FTiKbAUflH5TGd39yrM1VKTdCn3p9UKH416fGsxqjVeAl1TsK9Pi+55BIcOHAADzzwAIqKitCzZ098/PHH6NChAwCgqKjIUFOturoad9xxBwoLC5GWloYePXrgo48+wqhRo1J3FQ0EQgg2FZVZ/rDXFppFzaPgLC6twi97dTdjeThq20Q3btanQrS3WDurnqvrM/aUuMWoGc5lMywVlh5R0OdROy2oP9spcOY35LO6qFmRK+76EwY98lXcc5ln1CxqLsd4EWjmEfTe0mu49sxOuHtUN/y2r1zri5oVso8lA/T/k1RawRrhyyvHBRr24AU2zgtQXVZsMVU3nGLU7CxqiqJ7ARRFTYp55JPNOLtbK/Tp0IxpL6Ufy8Y5mX9FBUEwuD5lU8kPu+tvkRHA0l9L0LJJ0LK/SciHAGPtovh9Io6Go9r67GoVhmLZ1nbvbdT1WRWL/QoyMWrmNUiigOqozFjQ9O3qZ8FwPkpOZgAP/+Vk68kTJOSPHz/rhYBPRDhSA4ua2DiTCZJqyn7jjTfixhtvtN03d+5cw+dJkyZh0qRJyZym0bGvLIxRTy+3xBLZkRK3kk1hUq+s2XkIFzz/De4b0x0XJ1GQlVbwTtr1GeetyCcKyErzoyLJ7gvx7gj7sEqiAEXWA+nN/zdmZZHed7fg+lK256fZ9ZmiYGzzvafCnG6l3zu31DsjDD4xBxvuH4ENe6wlb+jvEX3LTkVtuXhudE7jgs2G9DZW/XnP4Urc/8EGvDiur6djzb81muuT2aMoqhtMjVFTt8kx1+cLS3/DC0t/w7OX9UannExtPRTWoka7AFBoizxAfUmLyIrhEba7/H8M7oTB/1mMhz/ebElGygz6EPCJFtdnQBJQ6uL6BICQqeUTS1Qh+H8juiA/JwPBWGICtTaZrYo+UURlRNGSfkSTcuj0XuiTRFx2Rnv7nQkQdLmORGia5q9hr8/E/2Y1BJJS1Dj2JBJkm5I/gh4sasbisfr20irVJfHAhxvxwIcb0Z1pTxJPDqvuBfX8dvFMXupqeXH/qT04rdtT4fpkBZMkCpobwU6QmKeK95z/OHUEqqMKxs/9Hiu2HrAom3GbzieJee12AkkQBGQEfTi9Y3PD9q9uPwt52SH859NftHkyAlw8cIy4Vf43IzNuyKPVshYXVni40vElRz8PMX1Wv7PPrR6jRhg5ZFQkv9t2EMt+3QdA7ZTStlkaBEFAFROQLgmC4RhR0BU3hVit/3aKKuuZqKg2Brs3CflUa5dNwduo4u76NHcSMHPT0BMAAP+75nT8sOswIrKCG1/9wfJ/5JMEVEVktMgMaNcIMC7mWtZdgjGLWk2zSD/8vz8mFBZiRv2bVaMl1AuNsJlCwyUR5Ss17jsPMUnMedyC9DcWqRaWLzbujXsdenkOe3uJ27VR5SFeGxCZqG+a5rVkBn2ebl68a2CVGFZ42NZpMp3Py3Me8InokqsqvzQQ+fPbzgSAWmtMbq2d5P3YTi0zkR5TzEQB+GnqcPRq1zSFq+McC7BB9vHH6jInqijaz7e9vk4rdeGE1aptdcsrRLUgEaI/k7LJ4kdANDfnhS+sxLRPNmPH/gpDMoFoY1GjU0QVtStBvM4EbsWre/4hG+1bpFu8CDT43+yGNI4xuiqdaJEZxDndczHq5NaxNRoXSYga6uLTwiOM56xJyQsvUItaTY1ZrbJCaJaRWH1JluMmmYDjTDLKVyqyP91mYN1sjkobw8Q31uHcguUAgBJTr072WLZQo7oGb9dBX4bkOGYlEgvwNQtFVXmLT1yLmsNvvn2MWvwxtmsADfZVr/Wk3CbY8cho5GXXLIvUCbMQTlYciaKgBUBzOCwkZk33giEgP6orUBFFiRujaqdoWMdQ16euqSlEL9xMj2OzBN/+4Xd889sBQ4kHs+sT0C1s9hmG1sUEXYpNX3BaW5zesbnl5dQnqgVqqTyhCgQtJg4wbaISVC7Mt/e09k0x6+vtjKvTaFFLNsTEKzRGLVVZpMnCLWocQ1wDJf+uj7DzQIVlLB1SEz1Nd306T2J8u7Se3zpe//n0h79EVFbws6ldFm2vIjBKU6KuT3O8hv1Y+6BYLzEy32474LqftQUaRbRV6TSfz+tzrr2VO1gPnS6jc8sMT/Ob77P+pijY7vdKKt84G+HLK8eFRMpzsBmiEUUxuBPjvaCaxQM9lv19khW9PAer5BCTzGPj0cIRBbKiIBKNrUUhWgN0isDIHTvLv53ocnt5k0S1awBV+ibE6jQG/Wrwv7krAJuF6qUtnB3m+zuiZ546X+xkVGFKj1kCa1tRC0iiIVSmvuiUk4lT2jat1zUkAw9CSSGs8sX+Ph4+GkGHFqaxMWWgJvY0c69POxTD26W90sZijh37ZW8Zxlga0Ktvx2oMWWJXQB9UtxZSFMEmRk0SBU9v9L/tsyrHxnXoP8e7hGSVad3tk9gE94zultT5zG+ryQrFVL5x+iURY045vmsmHkskUvBWZrI+o7J+nGIqSisrBDe8sgYzr9QTDawxajFFjU0mIAThqAyfJOpN2YnRTUkI0cpmAKqLL6oQzaJPFSWz3GMtaoIpwSjRzgySKMAnilqgP3XdNQn6DDFqouZtIJYi1olaosxrDPqM80iigF8fGgkA6JPfHD5RQMccby+IySAIAoI+MSUFb2tC9zZZdVaVIZVwi1otYPcYH62O4uo536f0PPH+DhM4JxM4CRtzRqJd0P+WveUoq4oaBJh7XJr+c0LJBDa/nV6VD/b6zIHz5nnMb9NmzBY2r/qPblGrnfiP9s3TDcV4zUIwWZGYyqwoSRTw7GWnpWw+Tv2SSK9PtpRHVFa0xAJzzFd1VMH2/RWmY+1dn+bsS5pMoGV9KkZFkhCgkgnur4717Ywya5FEY4cAwiij4aiMNFPJCqfLd1KmJEGA3ycwBWrVcZlBH2RZT4T4Q9M0vP/PQYbr9BqjZsYscgKSFJtPF6oBn4iAT8RZJ7XEoBNysPiOIYmdJEGCPqlRuh0bAtyilkKMrk/jb+TBimos+WWf9llXcKxjveLlKMPbJeyVNhZzWredQnXDqz8AAIpLgae/cm4FRglIohasSgVQvGQCwF4pEwXBkxWSVY7s7lMiuohTeY540PudaPsury/sVw/Mx1UD8rXPNI4lNyuI/eXhpP2O9R1HwqkfVv52AOXhKM7p7twOMJFen7TeIqAqSPQlkGaNU9h9APD3uau0HsVUkdItajq0HEUIkqGOmvnl9KgpCzPKxs7FLFqKYjyGfr7/g41I80uGOZyuPzPow5FKa4FfURTgF3XXJ30sM0M+RBVdyRQEAae0baoW8IUxEzRRS5RZ0aWxbj6bEiB1Rcgv1rvrs7HCLWophD4b8f4uX/ziSvyw65B6TA3OF688h2Bai3Fd3ixq8YTy2l2HAQCbi0vx4++HbccETD3sAO/lOcw49eg0Y1RQ3eeOO5t5gEdZQ5fgJR4vGQRBMAhwqmAtuG4AzuvVxrLMlplBT/NyPe34ZMeBCmwtKce+srDjmIRdn4qN69Ok7EUYaxug1ngsPFwJQA/md2ohFY7TQkohxKKoyYqCiEy0IrSiaJQXbKHerzaXWIrAOokfu+LhFL8kaK5PgRkvK8Qi59j5qew0W/XivUyZ5XbAV//B/EGflLIm78cbXFFLIUT77i7Jvt9+EBtjBUdrlkwgxD2fU4NzJ2FrXo9Xr51CgPOeXYH8uz7Ce+v2GPbZZURFPQSa2T3ToujtnhlbvlgPMChqzH672m1m5TVR16dThqvT/1uysowK4cygD2l+yXCNmx88Fxf1betpnmP5rXfGjBno2LEjQqEQ+vTpg+XLlzuOffvtt3HOOeegZcuWyMrKwoABA/DZZ58ZxsydOxdCrPAz+1VVZZ8x3ZChpS3GzfrOcUwiyQQG16dicn0yc0Rl42dWaaPbqQHe+Nyyrk9BG29+SWOTCdS1qDFqQb9q5QowrZfoMewlNgkZFbC/vfSt7fWax7H4JKtFLSOoWtTsQjzM5TMyTEpgyCXLFLDKd6qo1aQGWU0J+kSeXJQkXFFLAicxpbs+vc9RUlaFRRv3JrUOL7/zioMA9KogJuq2s4Mt5EgfVKdMSBZbi5rgLetTjnOt5lgX/Zz6/81JuZmGuc7r1QZvXDcggazPmHuFqZVUm7Bvy4JgvMaQX/Ice3asCtMFCxbg1ltvxT333IO1a9di8ODBGDlypKHlHcuyZctwzjnn4OOPP8aaNWswdOhQjB07FmvXrjWMy8rKQlFRkeErFKqdEiy1CQ3EP1ot4711hdhUZO1ekUivT7b1UkTWFSiFGGWRalFjjjMlGgDMy5RgHFctK1AImGQCo5Ji5/qUFTVGLeSXEI7KCPgkQ40zszJqVsDKqqLIywph4jknGbablSkWNuuTyrU0v6RlnbKw91dT1EzFp9NcilG3bBK0rJnGunnpB1xbhPwSD6tIEh6jlgROgspLYL157FtrfkfBF2qc1/d3D0OrrAQEfBzXJ2BUWJzi1dxINMPJjpPbZmPPEdXCsH3/UQDeMiHtzOSi6C1GTTa9IVvmcUomYP4S0J/pfaMV/cs9prLrFjVi28cvBbfWAHu3BCH5ZAK3mlCNmSeeeALXXHMNJkyYAAAoKCjAZ599hueffx7Tpk2zjC8oKDB8fvjhh/Hee+/hgw8+QO/evbXtgiAgLy/P8zrC4TDCYd29WFpqVYjqAxrkXx1V8NPvRxDyS+jW2pghR4h3mcC6SdmCt2b3abWsOMopRdGPMa6DIByRQYgaj0qtUopi7ctZaWtRIwj61NjZgCSgstpogWfXYFdTsF/H5jjzpJZ4YtGv+PD//ggAaJbuXIjVx7o+aScCnxirmWZ9UukWKgMzgkbXZ1rA+Rn94raztE4AlGAsmcDnVECyDgj6eIxashybErmW0VycFoEVe/tLMvLsm98O4IuNexOuaeN2NmOmp/3PbsgKse1BlwiDT2yp/fzFJtV6uG734bjH2T3TkseSIOwQW9en028+c07N+ufhZj12US9sfGCEYdvJbbMx6IQWkEQBTVzetlMF+8fFHL+WCDRD7Fiiuroaa9aswfDhww3bhw8fjm+++cbTHIqioKysDM2bG7OIy8vL0aFDB7Rt2xZjxoyxWNzMTJs2DdnZ2dpXu3aJ99qtDTRFLRbcrygE5eEo5qzYrj1D5hgwN9hYL7bgrTnrM2JKJmDn15qMxwxe9A/9Zxv2YuoHGwGoJTe0ZAKb+DczUVkt0RH0iaiKqOU9zIXB2Uu0iz2TFQU+UYBPFNDzD9kAgCcu6eV4L1iXI30qgz4xVjPNOJYwQXeio+vT+RnNTvdb4uoaRjKBVO/lORorXFFLAiq0zPJKD5b1MAfs55gwbzV6Tv1MFSbxAsQ0C579CQmcY9S8ptjLhNTYXJ2sub0mWZ8sduNdC96aY9RMMWZ2V0MIsfTqu6J/B7w6oT8evfAUfHLL4ITWnAzsH5ua/I8FjkGL2v79+yHLMnJzjRmNubm5KC4u9jTH448/joqKClx88cXatq5du2Lu3Ll4//33MX/+fIRCIQwaNAhbtjhnQ0+ePBlHjhzRvnbv3p3cRaUYhRCtMC2tdfb7oaO4/4ON2HngqDbG60sem4EZURRDHTWDMhU1W8GMa2K/09/r4iOV2phwVMGOAxX4bV+5bfybmahCEJUVhPwSqiKKpTYjgXF9mYwbkTDKpl8y1gVj3ZMvXNEHADDp3C4AjA3X2a4DtB4lC7tip767bi2r7NBj1OozmUDkiUpJcuxJ5DrEYk+LozjZjnXYd8vr63DCPZ9oDYXdzs/OYT63OZspURSFwF9Dc3m8t6it/x6Jds2tTZrt1it67SHFYHfZTgVvWTcE/dlsUbPvB+ochN80PWDr0r5l2IkAgAf/3MOwPdmAX6NFLflYs2NRUaOY3UxsILob8+fPx9SpU7FgwQK0atVK296/f39cccUV6NWrFwYPHow33ngDJ510Ep555hnHuYLBILKysgxfDQFZ0ZUm6h7UyljINPsysZc8qoBFZcK4MY2/q+byHGzIgx7XFlPUbKzcUUVBWVUUizeXWKxhdhY1NkatKiLDZ2ohpSjG9bHWcFpWSFZU6xT7EsrKFLp9VM/Wsc8iM07d1yTkj8kNyxJ116dmUTMqZm4WNTvoPPXq+uTlOZLm2JXItYhdqyjDdtN4V7HmIPR+21cOALhy9vc44+EvsGVvmc2h1mPNm9jPrMzyqrTJCoFUw7eweBY1tbK4PuayM9oDADYXW69ZEhNXOG0tag4Cw26p5oQKuzpqBCRhxYgqbxf0aYs3rhsAAPjmrj/hjyfkJDaRzTqF2L9kOBYVtZycHEiSZLGelZSUWKxsZhYsWIBrrrkGb7zxBs4++2zXsaIool+/fq4WtYaKWrYi5vaMxWlRSxNVjNhisPFgrW+se5POTzGX52B1CTYBAYDBxWkmHFUsWZ92pXHMMWoW1yeM18gG5tN4N4WoL7CS6cVOU4hiMlPrMOAzJlStu+8cdMzJiF2HNZkgbtZnghY1Sn0G84d8ElfUkuTYk8h1gJM1TNvuoaQFcVDq7NhbGsammNLCNgm2S14wCzCn2A+vuo5CSI3fwrwIB3ZtftP4K/q3137+ubAUO2JuGM/YWeYclsTKEfqj2X1iJ2sUknxFfwGCtp42TdNc55k6tjuuP6szLu5rjWsyd1hIViabXbjHAoFAAH369MGiRYsM2xctWoSBAwc6Hjd//nxcffXVeO211zB69Oi45yGEYN26dWjduvG1zZIVVb5QRSaqEK2MjqYwKd5flNjEg4isK2cW16esGBQjVt6YXZ/sWik0HiscVQxxcYB9VxA51plAi1ETBYvrlX0JZmPUaKkPNUHIGgdKFTd6DVqHAdGo0DWNJR6ork/j+tSCt/ReOLg+/ck9o/VansPPXZ/JwrM+k0BzOZqtVy7JBE6WLq8KExUcn2/ULQLE5ifzC2TNy3PUPKXbi6LGrscsTGpaJNHOAuD0ZmfI+oz96KVESU2zY71e4tWDOjru69Y6Cxf1UWulCQnMaaY+41hqk4kTJ2LcuHHo27cvBgwYgJkzZ2LXrl24/vrrAaixY4WFhZg3bx4AVUm78sor8dRTT6F///6aNS4tLQ3Z2dkAgPvvvx/9+/fHiSeeiNLSUjz99NNYt24dnnvuufq5yBqglbuIKWmsQsW6IBNJRNJdn3oJDtVap4+LykYrGCsu9PIc+rHqdn0C1Q0YQXVUiXVDcI9R+37HQRypjOCMjs1RFZFjLaSYccQoM9JdFDWzbJREAZB1mac1V7cp+q1ej1UWhaMKgj4Jn916Jk7KzUT31lkImRQzc7KAV+ozmSDo4+U5kuXYe3WuA3SLGrHfbiPIrEqd/RxOsAKTWjwIAUY9tVwL9GXH2Z3XybrmhkxIjR9uL4oWK1zNpSycLEzDurZC17wmAIDrz+oMALhpaGfr3Db32FFRE/TxTlmfTjFqyaLOV3MB1jo7DY9e1Cs2Z/Kuz1T2+mxIXHLJJSgoKMADDzyAU089FcuWLcPHH3+MDh06AACKiooMNdVefPFFRKNR3HTTTWjdurX2dcstt2hjDh8+jGuvvRbdunXD8OHDUVhYiGXLluH000+v8+urKYop41MmRFN0tOxLk7WpIhzF01/au3kNrk8m3s3S69Mcoxb7Yy4IMBwDMAVwY3qaIEBTYsJR2RL/FrEpNr19fwUOVlQjPycDs1fssMaomaxyIb+kydxKRlHzi9Ym43ozdaOi5jNY1IzrMTssKqtlpAUkdMlrAkEQ8PEtg7Vn8t2bBmFg5xbolJPpWmDXifqsoza8Ry66xOQ1JzG4RS0JnDI2zW99dsckC/s2KooAZHXOjUWluOa/q/VxLpl/hkKQns9L6saixvxsHu50PCvwqNDq06GZZdzkkd3wxurdho4JXnQRvY5afF+21wBrx3OlWH7WJJngWObGG2/EjTfeaLtv7ty5hs9LliyJO9+TTz6JJ598MgUrq39kQhCJtWSiipU5mN/c67O0KoIVW/fj5mEnYtWOg+jdrqn2osUqPFGZraNmfF7MMWqasiPqsWPmYuL0mUzzS1pMZXVUsTRlt0smoFx+Rnu8snInuuRmatfZtlma2s2AKZKb5pdiddD0Bu/0Bdb8EqrHqMV6dFLXp2RNJqCYX4zCUcViQaOc2q4p2jRNQ/c2Wfhp6gjbMW7Y1XOsKwZ2Ti72lsMtaknhZDnTXZ9WzO4Cuzm8tIJSFD3+wU43UAgwcNqX+Me81QZLm3ps4pqaU7HWREg0Rs28NGdFTdCEnFuQ6qATcjCkS0vDtuvP6oxZV/UFAJzSNlvbbjePxaJmm0xQM1KtUwkQkrKM7XgkfhwW59iEWtQAIBJTenRFi3F9mtyW9Pko+OJX7C0LoyoiozwchaLoClmEUdTMJTQMiQaKHhPrkwSr69NkWQuZFDVCjKU+3DqgZAZ9KAtHEfJLkBWCoV1a4qObB0MhBJMW/qiNC/lF7WXVYFGTRIts0rMrqVWQWtjsXZ+Avcxxc22KQvLygnseGydcUUsCPRHAKAQUG+VL32dySdoodW6GG9Za5/awyQrBniNqWyqzgsG+XXq18MmkjixqxP5nwNkyJIBNY6fb7Aeb5zyhVSaGdVOz/d65cZDhXMO6qttpSnzLJkHDOuzunWLWxBMk1e7GmnQm4ByfyArRZATtFkBliKH9ExsDxoyJyGp9ss837sXcFdsNGZgRU1N2g3sySmJlNdTzU2uSj6lvpil5VHGMHR/yiZpbkmZ9mhMVnMQPrUUW9IkgRJVTkmjs9dspJwP98ptrihZ188oxT4OToqbHqKnb2bhPs2Jmtz5zE3YW9SXMcbcjq+45G+kurac4DRf+v1YDrK5PYvjuPta63e1PPZv9RIWA/XmcZ3lx2TYAwCc/FWHPYW9NoxXFGKMmmeI5vOBFUXNq6QQ4x7iJgi6wJFHT1DzBTmnokQkBp3dUK8+3aZqGn6aqlex/2HUYrbNDjuupiZ5GSG1Y1Ljrk5MYqutTt4CxyQCsC9IQ96oomhuSKnbhiKxZt6IywayvtyOqKAY3KvuMUyseVRSpNclvKpsBWC1roYCEYKymWHVUzR5ljWgRmSA94LNt+xaQxFiMmwSZqIVnBRhlaLvm6YYelZlBv3YNkiigWbqxvZSkWdCMCpshQcoco2bzoLopaqLo7kFwgr5wchofXFFLAj2ZwLQdDtsJsShQ+lhjEKsT+tuo/vDbKQdeFIYbXv0BLTKc+9KxqJ0JdCEjCQLkBB19doqaIBiVVHaM2TrlFqNGBRbVJZ3El9VKFz/uTYCg9fk76yTddeqTRM1F+OXtZ+HnwiMYlGTtM7vzpgL23nA4XqDto4BYvBdhLWrqdmKyqKlWND0OjbpCaYzb0WoZb67ejVPbNYWiEGzfXxHLKAUzR0xRI2qfUaqoqa5PYyNzem7doqa7PsNR2SbrU53PTlETBAEhn4RgzPUpiQJEQTB4IsyKVqeWGWi/Nx2yohZKfvN6Y2kXc7anF9en3WPq1nlA4Oby4w7u+kwCTcmyvO0Z4ynY8RbVxkbbc7OGsRY1KgTsXHBerV1XD8xH22bWbgCW8yrEUAMomZJqts3VLQG1zDkTUKrMhSG94jSa3e5Fz+ncMhN/PvUPyMlU31aTifEiIJbfmZoiCMm5RzjHLwbXZ6zUBdtZAIj9rpqOoYoNrbsWlfWg/nBURkRWtDpqU9/fAEJUpWzbvnJtP6CGfkRkolmT/JJoyO4EjNnvgKrQaDFqsTg4c8HbdBelJ+gXNVerKKrPDBsiomVtSnrsGetVMBeHZhU1UdDdmuw4q+szsRg1NuSDc3zALWpJ4GhRY2IwjNu9NTI2xPo7uFXjWdS8Zh9KkmCxXGWFfCitMr55vvrdLmSn6eb9ZGqa+STBakEzWeaScX0Kgh6RRtPknZQ6811xjHtjK43bD0kp8//RH2l+qcZ12Mzwl25OoigxixYAVMvEEH/GJjOZY9RkRpnTLGoxpYnOQRMGwtFYZX+F4Jr/rkbIL2HMKWpxYNkUoxaQRG1uKvOoDqVZ1PwigkwyAbtWdU0K0l28ByGf7jqloRQRmZVLMJzfF0sgcHpeWUWNWugAoHlGAK9OOAOFhyoxrFsrwzF275juyQTJJQpxGi9cUUsCc6o4xdn16W0sO8YsCPREBT1GzS6A3WuslM9c5BHG1O0TW2ViS0k5+ndqgRNaZeK77QcBAG2bpeMXm3ZWbmixH+y2WIkRfYz+s1nZdEo6FQBN46LKnFfx5ZR0UNfyb0DnFgBqnjVqJtmsT87xC2tRoyUzaNA8q7CxMiYqK9oxUUWJNTxXvxRCEI5Qd6ha8DYc1d2cPlEwHE9dr9T65JN0hYg+39oLq63r09pgPSITV6WHtagJUGUV2/1FK1gbcyX4RbUkh119NsBYA04QBMMLqFN4hFkWZYV8OKFVpuOaa9J1hNM44YpaEjglDVDhYe0B6lyIlh3rVqKCbb+iv13aKWre/uSLgmBR6gxxYrF5OrfMQHPmjXRIl5YJK2qSGFMamLVZzP+GcxuPd+7LaWdR87Ymt0zSeGNqg5rWYTPD66hxEkVWdGtSNdM3M+ATwWZ9GmLAWIuaomZ9RhRFU8yqY4pYhFHctHmgPm+661NVFGk8l08Usa8sjD2HKy2uT7pONZlAt6ipco2NoVMMgfmiYJQvIZ9kaHDOrgdgLWm6RU0UBShRB4saLRcUU+i8PINmmf1jnPpofkms1+bqnLqHK2pJoMeoedxOrDFIdkVznZQ29bP+XVPUbP64e41RM6ehA8aq1XSfKBrf95xiwfp0aIY1Ow8Ztp3QKhNbS8rhE0WL/crsznR1fTqcU2Rj1BLUSry5PutO06lhdQ8LahwL19Q43lEI0SxebM9PVlEzh3EYYtSouzRmUaPJAVSB80mCwfVJoUoXzTql5Tb8koDPNhSj8HCl9lwqBDhUUY0jlREAsYK3sfFRRY3flU2KJBuj5hNFLWECUF2nIYMiJxj2U3Hgk/SSIXbeCIpmUYv97CWhx2kuJ2475yTXrFDOsQdX1JIgXoya+blT7FyfNnN4i1EjmlJi5/r0+syLgmCx4tgpS5IpHsJJaTopt4mmqM0d3w9DurRCRTiKfWVhtGueblGM2jZPx6aiUsv51J+NY73EqNE3Xuc6asZJHV2fhvlth9QKNa3DZoZb1DiJIisE1TFFSnN9ErV5ucH1acrYjJpdn7EvElP8qEXNL4qoihibvIuCoPXPVAvuyozrU0RlrNSHALV90rxvduChjzZh+/5yAMbOBFQ5Yh8lWSEIMYpaWkBCdaV+AUGfZOgCIAhqsV+KuQUUbcQuOxTSZWPUBMFbklOi5Y7YJvGc4wP+P54EujXM7M4khv3seOs2eoz1eMDOoqZb4HSLmnVtnl2fomBRNNl6aXSfaDLfu/XIpND1ZQR9yHAQKv+75nT89PsR7Q9Ak9g4QQCaZxhrEzlbv3QLmFZbzmO0l9OcrEehTl2fKZ5PgMDjWDgJoQbz665PqnAFfKL2ImEO4zAXxY3GFDdah606qsaoRWQFQb+kK2WxOfw+AUerZQQkEQoBqqNEc336JVWJo1Y+XyyIPxJV8Nzlp+HcguUYdEIOurVuguLSMDYVlUIUga2m0Ix0xvqUHpA0axygxqgFWdenICBiU55DV9RESIKzFYyNUVMtavHvu7kwOYdjhju6kyBeHTXzc6fWHnKYy1BHDczPTq5PvTyHXQ9Kr2Z0SbBmLtnFqAFG5cyxppnDPPp+47aczCCGdm2Fc7qrXQB6t28GANg+bTRuPfskfDHxTG1sv/zmGNe/A0J+vQo5nZPOGs/1ab4rTqPry12Y6qxPtc0M19Q43pFlPZkgTC1qsoKAZLSosb+qbIxahMkUjcp6eQ5qaQv6RByt1lswCVDjrY5WRxH0iVrWp66oiaiMKDhaHYVfErW42nBU0eRA03Q/OrTIwDN/6w2FEKT7ffhTrOPI8JhsacoUpTUnFpgtanRtFCpWtDVp5Tns7yEr+3xi/IQeQYCjdY7DoXBFLQmcY9Hod7OlzX6bGYP7T7HfJxOiCQ87k7nXoHRRsK6BjVHTzi/EV8IAk0XNTjjF0RnYQ/ySiBNaNdE+57fIwIPn98TmB0diEaPAiQLwyAWnqD/H1tU0LaBZ5wBYKofr5/OQTVCHik6q66jx+hycRGEL3NJyGjIBAj7JYNE3lr/QC97KMQUtIquKGU0eiFCLmk/UemWGowp8kgi/KKIiLCPol/RkAp9uxaqqVvuGBnwiRDFWQoTJDGVfIqOyav3r0DwdAHDeqW0AAINPbInRsRIg947uhgv7tEXnlhkAgMygpFn9ZcYySLHUUdMURneLGi2gGw9JcI5343Ao3PVZA1hrGBtka9afzCnt7LFG1yf7s71iRwgYRc26Jq9WdFG0xqixHQjYfaw70Mn1Gc/qFk9kuQXdCg7nFwRoaexUOTy5bTZ+un8EFIWg090f47NbVcVuePdcNLn8NKz4bT9+3VvuWAQzKBnjVeqKlNdRA+9MwEkMNk6SkFjzdEVVigxN2Q3B+mqGJxCLV1OYchxMckJVRDYUfQ1HZQQkAX6fgMpqGSG/qJUHodYyGqNWXhVT1GIKUnVUn4st3eOTBAR9el01KhN8sQxMABjWLVfr8QsAD/3lZGQEJMy+uq+hXiSlTdM0bQ5Adce6tdHT4ocJ8ZSZmUxLPs7xB1fUkkCTUyYlixFzxvE226ApXvZxaRZlj7oeFKK5tOz+uHv9gy8J1hg1Vuix52ddaK41zbQxNopaHJ3B7e3TrJzZr8uURUp784XUX/Gm6QGMPLk1Rp7c2vYc6+47BzsPHMUpbbMBqAkR+S0y3BedQlKe9ckNapwEMVt2VEVNfXlh+3Syw2gHAlpzjc38lBW9j2dlREbzdL3MTzgSs6hJIo5UhrV+m9WyHqMWkERURWQthk0U1Bpp1VEFQUl90WIt48FYTbUgrYvGlMpwggbm/6lrrmH7Bae1xb//0lNby/hBHfHFphL4RBFnd8vFSblNLHMBuuWNEGMjdifYGnUcjhNcUUsCYmM5I8x2a9an1aJmp1ARl/1seQ4qd+zexLy+nYkiLLoj67I0nN9TMkE8i1r8WA3HtTqc3/DC6ujJ9KauNE0PoGk6Wy+ulcvo1JPyOmrgLaQ4iWGWHbICzaImMzLP7PoEoMWm0YSCiKwYfqcjUaMrMBxV4JcE+EQRR8My0oOq67M6aix4WxVRXZ/NMwKxGmjOrs9AzJpGkwPYDMxEny6fKBji2WixWkkU8Pc/dnQ87sI+bZEekNAiM4B++c3jnke1qDkEvHE4MbiilgS6Qc1oDSOMMmU+wKn8AruVFZROip3C+D7tY9TiLh8AbOMsjMkExrF2Y9zmNhPXouYywKCcGcYxPztcd2NRVvp3aoG54/ulbD5enoOTKGZ5ICuKalGz1FHTx1BrEK2PFlH0+musfIoqikF2VEVk+CURAZ+AimpVEbNLJqiKKCgPR5GbFdSSCVhljpUbQUnUrGoA2/4p8Rchn4M1zBdH/v351D/gz6f+AQDw6EW9PJxHdytzOE5wRS0J7CxnquuTOjnN1jBr0Qi7mmusYHNu+E409aQmFjXJrjyHXYwaSTyZwE7I1ShGzWBRs//Za1mOhkrIL6XUije8Ry6vt8RJCItFjcAmRs1cnoPGoOn10SKygohijGWLyMRgda+KqoqaX1ItaiG/xMSo6fFg1bKCinAUAZ+kvVyyRb9Z2RD0i5pVDdBdnsnEajopZF5eVBNBFHiMGic+XJIngV15DgJiq3zRz06xY6yCETVY1NjMI6Prk2L3gEc9mtHVgrembYwrkZjG2v3MYogXs7WouQs4N/lndHfax6vxxCkjXfOy6nsJnEaGJdOcqaMmMxZ99lmjdddofbSIrLs/DWU8TJlP4Qjj+oyoyQQ0/oy+YNAXx/JwVI1Ri2V9Or04BiRVSTNb25JyfToE46baSs1j1Dhe4OU5kkDRFDJjlhRb68w4nlhcc3aPpiHritnuE0WD61PL+rTRTrya0e1cn6yyxe4zWMs8WNTslLJ48s1NkXNSFI2dFJzmjXNiDocDwPqSF1XUEh0BSdQsZ2qXFdaiZnR9RmNdCORYVwNKJNapgELLcwR8qkUpGEsmiDDJBNQyr1rUBNv+xCzUokYVPCofJFFIuKK0k+sz1RY1n8Qtapz4cEUtCZxKazglExA4x5yZi0dq+03VsVmLmmAz3m4ON+xcn6xSw57f4Hr0UPA2GVnmnvVp/zN7BBd2HE7NML/jyYpajDXoF7VSQIQYXZhU3lDXp5pUoCYTGJMOFMMzqpbnEDWljMbBRWwSBRQCLeuT2ISRUAKxGDWabUk9BIKQeGiE0wtpqkvecIsaxwtcUUsC2x6bLqJAFS7mmDN6nA6b/cMqcD6m5hkrKO3W4fWhVwvemixqDq7EeG5N87G21rE48s1NuTM0Snf42UlR49X5ORxvmOWJQkjMoiYxFjViCJGgLk3doqaX6DBa6I2KYBXj+gRURU2tkaYnE7AyQe1MYH3OWTkViLk99eMZi1qCONVAS7WFXhKFlPf55Rx7cEUtCexcnKxFzexSZN2iFDaLSt/GnoOxqEmC0fVpmoPFHAvihCha3QhOrk9WzjknE7AuSZv9cdYTL4bNbm727dapujd3fXI43qDyhD4zNHszwDZlV0zdAEwWNVnRi96aZYXR9SmrddR8ehyZblGjFjFj6Q1RtIZrsJ+DPglBn6i5Len5JZt43Hg4JhOk3KImeo4r5hy/JKWozZgxAx07dkQoFEKfPn2wfPly1/FLly5Fnz59EAqF0KlTJ7zwwgtJLbahYOe2JMxnax01q/XKTrFgLWqsEuVjlCpZYV0C1jkiCcSomREEXREyFLx1COY3HBt37njJBF4VNftkAqe3Uq6ncVhqQ3YtXLgQ3bt3RzAYRPfu3fHOO+/U1vJrFa1ReswipTCKmt6UnRhfkDRFjZbnIFpnAvMjbXR9qh0IAoz1S1HUGmn0/KxSRDsTRGTiqCw5WdSEZBQ1h2SClGd98s4EHA8krKgtWLAAt956K+655x6sXbsWgwcPxsiRI7Fr1y7b8du3b8eoUaMwePBgrF27FnfffTduvvlmLFy4sMaLry+0ZALDNt25aX7sjBmhxPRdH8cqbwaLmmi0qFHto0blORz61VGTv7ZPMFnUPBS8TQanjgfW8+g/s+viwo4Tj9qQXStXrsQll1yCcePGYf369Rg3bhwuvvhifPfdd3V1WSmDPkO0jVpUUePKgoxFjSnjCECtmxb0qfXOtDgzRVWmzC9f7DNaFVHgE3XXpyQKljpq7PHU9WluRWV2fQZ9omYN0+uoCQnHqDl1FaipnDPDY9Q4XkhYUXviiSdwzTXXYMKECejWrRsKCgrQrl07PP/887bjX3jhBbRv3x4FBQXo1q0bJkyYgL///e947LHHarz4+sKsbKk/m4rSGsZbExAUBYbPgLmOmr7dJ4oGRc/V9em1PIdotfwJgqC3QDFs1392bCEVJ+EgXsHJZIJ0DTFqjq5PblPjqNSG7CooKMA555yDyZMno2vXrpg8eTKGDRuGgoKCOrqq1EMVIUVRXZtswVtzeQxZJgj5JVRF1FpoEVlBVFYzOuk4+giycjEcleH3GV2fClE7GNjFqAV9IgRBsCpqjKQK+kQE/ZJukWNcn+w6vOBkOUu1RY3HqHG8kFAdterqaqxZswZ33XWXYfvw4cPxzTff2B6zcuVKDB8+3LBtxIgRmDVrFiKRCPx+ayPccDiMcDisfT5y5AgA4Lb/fYNAWt31XzSjhI8CAJZt2AUlXImpC1dp2+54ZSX2lYehhI9i+vtr0Tzdrx3z8pcb1AcyfBQ3zvkaSvgolm9U56DfAWDpz/rPVcx5pSjw5Y87sHf/Qfy8pxQdczKghI9iz74qKNVGxezlLzdoawr6RYQj9opbVUU5mojVOFIZ1bYF5EqkkTDKw9VolZGGXRWVECOVqKwg2pzVlRXazyw+uVLbHq4oR6kYMexvFVJw+Ii6P+ATUVpaatgfUNR7x26n87HbqiIylPBRCAIQImGUlpaqn6srbY8vLS1NuXDl1A30/zIV7bVqS3atXLkSt912m2WMm6LWUOVbyYFDUMIR+EIKlHAVftkdwe4SCV1bdMKyDbtww5EjKN5/EE1CftwwW3UZbygqRYgomL14I0IkjC/X78Cho9VoEvKjmhAo4SpkBiVURRSIEZ/2TBeWVIGckAVFULfJ1RV4+pM92HOkEn/p2Ux9pqO6TFHCFaisKMPvJQfQom1T7bmPVFagtDTW2zNyFCQsQ6kOQAkfRVVFOZTwURytKEMTMYK8NMUid+xQwkcRDVdYxirho5Cr9POlgpYBGdV+2dO6OMcenmUcSYDCwkICgKxYscKw/d///jc56aSTbI858cQTyb///W/DthUrVhAAZM+ePbbHTJkyhSAW9sW/+Bf/Or6/du/enYiYqlPZ5ff7yauvvmoY8+qrr5JAIOC4Fi7f+Bf/4l/sVzwZl1RnArM7iZhq63gZb7edMnnyZEycOFH7fPjwYXTo0AG7du1CdnZ2Mks+LiktLUW7du2we/duZGXxSvVe4PcsOWrjvhFCUFZWhjZt2qRkPqB2ZFeic3L5lhr4s5oc/L4lR33KuIQUtZycHEiShOLiYsP2kpIS5Obm2h6Tl5dnO97n86FFixa2xwSDQQSDQcv27Oxs/ouVBFlZWfy+JQi/Z8mR6vuWKsWltmSX0xinOQEu31INf1aTg9+35KgPGZeQsz0QCKBPnz5YtGiRYfuiRYswcOBA22MGDBhgGf/555+jb9++tvFpHA6Hk2pqS3Y5jXGak8PhcBLG1TFqw+uvv078fj+ZNWsW2bhxI7n11ltJRkYG2bFjByGEkLvuuouMGzdOG79t2zaSnp5ObrvtNrJx40Yya9Ys4vf7yVtvveX5nEeOHCEAyJEjRxJd7nENv2+Jw+9ZcjSG+1YbsmvFihVEkiTyyCOPkE2bNpFHHnmE+Hw+8u2333peV2O4dw0Rft+Sg9+35KjP+5awokYIIc899xzp0KEDCQQC5LTTTiNLly7V9l111VXkrLPOMoxfsmQJ6d27NwkEAiQ/P588//zzCZ2vqqqKTJkyhVRVVSWz3OMWft8Sh9+z5Ggs9602ZNebb75JunTpQvx+P+natStZuHBhQmtqLPeuocHvW3Lw+5Yc9XnfBEJSkPvO4XA4HA6Hw0k5vNcnh8PhcDgcTgOFK2ocDofD4XA4DRSuqHE4HA6Hw+E0ULiixuFwOBwOh9NAqRNFbcaMGejYsSNCoRD69OmD5cuXu45funQp+vTpg1AohE6dOuGFF16wjFm4cCG6d++OYDCI7t2745133qnxeRsS9XHPpk6dCkEQDF95eXkpva7aJtX3bcOGDbjggguQn58PQRAcezg25t81oH7u27Hw+wZw+ZYsXMYlB5dxydGoZVxtp5XS2kUvvfQS2bhxI7nllltIRkYG2blzp+14WrvolltuIRs3biQvvfSSpXbRN998QyRJIg8//DDZtGkTefjhhy21ixI9b0Oivu7ZlClTSI8ePUhRUZH2VVJSUuvXmypq4759//335I477iDz588neXl55Mknn6zxeRsa9XXfGvvvGyFcviULl3HJwWVccjR2GVfritrpp59Orr/+esO2rl27krvuust2/KRJk0jXrl0N26677jrSv39/7fPFF19Mzj33XMOYESNGkEsvvTTp8zYk6uueTZkyhfTq1auGq68/auO+sXTo0MH2YWzMv2uE1N99a+y/b4Rw+ZYsXMYlB5dxydHYZVytuj6rq6uxZs0aDB8+3LB9+PDh+Oabb2yPWblypWX8iBEjsHr1akQiEdcxdM5kzttQqK97RtmyZQvatGmDjh074tJLL8W2bdtqekl1Qm3dt9o4b0Oivu4bpbH+vgFcviULl3HJwWVcchwLMq5WFbX9+/dDlmVLg+Lc3FxLI2NKcXGx7fhoNIr9+/e7jqFzJnPehkJ93TMAOOOMMzBv3jx89tlneOmll1BcXIyBAwfiwIEDqbi0WqW27lttnLchUV/3DWjcv28Al2/JwmVccnAZlxzHgozzJTQ6SQRBMHwmhFi2xRtv3u5lzkTP25Coj3s2cuRI7eeTTz4ZAwYMQOfOnfHf//4XEydOTPwi6oHauG+1cd6GRn3ct2Ph9w3g8i1ZuIxLDi7jkqMxy7hatajl5ORAkiSL1lpSUmLRVil5eXm2430+H1q0aOE6hs6ZzHkbCvV1z+zIyMjAySefjC1btiRzKXVKbd232jhvQ6K+7psdjen3DeDyLVm4jEsOLuOS41iQcbWqqAUCAfTp0weLFi0ybF+0aBEGDhxoe8yAAQMs4z///HP07dsXfr/fdQydM5nzNhTq657ZEQ6HsWnTJrRu3TqZS6lTauu+1cZ5GxL1dd/saEy/bwCXb8nCZVxycBmXHMeEjKtxOkIcaFrsrFmzyMaNG8mtt95KMjIyyI4dOwghhNx1111k3Lhx2niaFnvbbbeRjRs3klmzZlnSYlesWEEkSSKPPPII2bRpE3nkkUcc09edztuQqa97dvvtt5MlS5aQbdu2kW+//ZaMGTOGNGnSpFHcM0Jq576Fw2Gydu1asnbtWtK6dWtyxx13kLVr15ItW7Z4Pm9Dp77uW2P/fSOEy7dk4TIuObiMS47GLuNqXVEjhJDnnnuOdOjQgQQCAXLaaaeRpUuXavuuuuoqctZZZxnGL1myhPTu3ZsEAgGSn59Pnn/+ecucb775JunSpQvx+/2ka9euZOHChQmdt6FTH/fskksuIa1btyZ+v5+0adOG/PWvfyUbNmyoleurLVJ937Zv304AWL7M8zTm3zVC6ue+HQu/b4Rw+ZYsXMYlB5dxydGYZZxASCxCjsPhcDgcDofToOC9PjkcDofD4XAaKFxR43A4HA6Hw2mgcEWNw+FwOBwOp4HCFbVaYOrUqRAEwbGCcc+ePTFkyBAAwJAhQyAIQtyvqVOnAgDy8/MxZswYy5wvv/wyJEnCeeedh6qqKse1DRkyRDt3XbNjxw4IgoC5c+fWy/lTzZ49ezB16lSsW7cu6Tk2btyIqVOnYseOHZZ9V199NfLz85Oem8PhcDiNnzrpTMBxZsaMGSgtLdU+f/TRR3jooYcwZ84cdO3aVdvetm1bxzkeffRRTJo0CePGjcPs2bPh8zn/t86YMSM1C+dgz549uP/++5Gfn49TTz01qTk2btyI+++/H0OGDLEoZf/6179wyy231HyhHA6Hw2m0cEWtnunevbvh8+bNmwGoVre+ffvGPf7uu+/GtGnT8H//93946qmn4ra3MJ+P03Dp3LlzfS+Bw+FwOPUMd302UhRFwQ033IBp06bhvvvuw9NPP+2pB5nZ9UndkY8++iimT5+O/Px8pKWlYciQIfj1118RiURw1113oU2bNsjOzsZf/vIXlJSUGOak7th33nkHp5xyCkKhEDp16oSnn37a07Vs2bIFl112GVq1aoVgMIhu3brhueeeM4xZsmQJBEHAa6+9hjvvvBOtW7dGZmYmxo4di71796KsrAzXXnstcnJykJOTg/Hjx6O8vNwwByEEM2bMwKmnnoq0tDQ0a9YMF154IbZt22a5Rz179sSqVaswePBgpKeno1OnTnjkkUegKIq2nn79+gEAxo8fb3FRr169Gpdeeql2P/Pz8/G3v/0NO3fu1M4zd+5cXHTRRQCAoUOHanNQ17Cd67OqqgqTJ09Gx44dEQgE8Ic//AE33XQTDh8+bPt/8umnn+K0005DWloaunbtitmzZ3v6P+FwOBxOw4Bb1BohkUgEl19+ORYsWICnnnoKN998c43nfO6553DKKafgueeew+HDh3H77bdj7NixOOOMM+D3+zF79mzs3LkTd9xxByZMmID333/fcPy6detw6623YurUqcjLy8Orr76KW265BdXV1bjjjjscz7tx40YMHDgQ7du3x+OPP468vDx89tlnuPnmm7F//35MmTLFMP7uu+/G0KFDMXfuXOzYsQN33HEH/va3v8Hn86FXr16YP38+1q5di7vvvhtNmjQxKIvXXXcd5s6di5tvvhnTp0/HwYMH8cADD2DgwIFYv369oe9bcXExLr/8ctx+++2YMmUK3nnnHUyePBlt2rTBlVdeidNOOw1z5szB+PHjce+992L06NEAdBf1jh070KVLF1x66aVo3rw5ioqK8Pzzz6Nfv37YuHEjcnJyMHr0aDz88MO4++678dxzz+G0004D4GxJI4Tg/PPPx5dffonJkydj8ODB+PHHHzFlyhSsXLkSK1euRDAY1MavX78et99+O+666y7k5ubi5ZdfxjXXXIMTTjgBZ555ppdfCw6Hw+HUNwmXyOXEZcqUKQQA2bdvn+3+Hj16WKogU+bMmUMAkFWrVtnu79Chg1YB+e677054bWeddZbh3LS6cq9evYgsy9r2goICAoCcd955huNvvfVWAoAcOXLEsCZBEMi6desMY8855xySlZVFKioqDOeaM2eONmbEiBGkbdu2hvkIIeSf//wnCYVC5ODBg4QQQhYvXkwAkLFjx9qu5+abbzZsP//880nz5s21zytXriQAyOOPP24Yt3v3bpKWlkYmTZpkuEcAyHfffWcY2717dzJixAjt86pVqyzX40Q0GiXl5eUkIyODPPXUU9r2N998kwAgixcvthxz1VVXkQ4dOmifP/30UwKA/Oc//zGMW7BgAQFAZs6cqW3r0KEDCYVCZOfOndq2yspK0rx5c3LdddfFXS+Hw+FwGgbc9dkIOfXUU9G+fXs8++yz+Pbbb1My56hRoyCK+q9Dt27dAECzFJm379q1y7C9R48e6NWrl2HbZZddhtLSUvzwww+256yqqsKXX36Jv/zlL0hPT0c0GtW+Ro0ahaqqKsv1mTNe3dZ58OBBzf354YcfQhAEXHHFFYbz5OXloVevXliyZInh+Ly8PJx++umGbaeccorBdelGeXk57rzzTpxwwgnw+Xzw+XzIzMxERUUFNm3a5GkOM1999RUA1SXKctFFFyEjIwNffvmlYTv9PaGEQiGcdNJJnq+Bw+FwOPUPV9RqAZp1Kcuy7f5oNAq/35/0/H/4wx+wZMkSNGvWDCNGjMDKlSuTnovSvHlzw+dAIOC63VwCJC8vzzIn3XbgwAHbcx44cADRaBTPPPMM/H6/4WvUqFEAYClxkuw69+7dC0IIcnNzLef69ttvLedp0aKFZb3BYBCVlZW212Lmsssuw7PPPosJEybgs88+w/fff49Vq1ahZcuWnucwc+DAAfh8PrRs2dKwXRAE5OXlWe5zTa+Bw+FwOPUPj1GrBWisU2FhoSHuCVDjjIqKijxldLrRsWNHLFmyBEOHDsWIESPw6aefYuDAgTWasyYUFxc7brNTGACgWbNmkCQJ48aNw0033WQ7pmPHjilZX05ODgRBwPLlyw1xXBS7bcly5MgRfPjhh5gyZQruuusubXs4HMbBgweTnrdFixaIRqPYt2+fQVkjhKC4uFhLbuBwOBzOsQO3qNUCf/rTnyAIAhYsWGDZ9+mnn6K0tBRnn312jc+Tn5+PJUuWICcnB+eeey5WrFhR4zmTZcOGDVi/fr1h22uvvYYmTZpoQfJm0tPTMXToUKxduxannHIK+vbta/lyUvISZcyYMSCEoLCw0PY8J598csJzUuXObKESBAGEEIvy9/LLL1usrE5z2DFs2DAAwCuvvGLYvnDhQlRUVGj7ORwOh3PswC1qtUDnzp3xz3/+E48++igOHz6MUaNGIS0tDatWrcIjjzyCvn374rLLLkvJuTp06KBZ1s4991x8/PHHGDx4cErmToQ2bdrgvPPOw9SpU9G6dWu88sorWLRoEaZPn4709HTH45566in88Y9/xODBg3HDDTcgPz8fZWVl2Lp1Kz744AMtLqumDBo0CNdeey3Gjx+P1atX48wzz0RGRgaKiorw9ddf4+STT8YNN9yQ0JydO3dGWloaXn31VXTr1g2ZmZlo06YN2rRpgzPPPBOPPvoocnJykJ+fj6VLl2LWrFlo2rSpYY6ePXsCAGbOnIkmTZogFAqhY8eOtgrqOeecgxEjRuDOO+9EaWkpBg0apGV99u7dG+PGjUv6/nA4HA6nYcItarXEU089hRkzZuCHH37AZZddhrFjx+K///0vbrrpJixevFiLoUoF7du3x5IlS5Cbm4uRI0di2bJlKZvbK6eeeiqeeOIJPP744/jzn/+MFStW4IknnsCkSZNcj+vevTt++OEH9OzZE/feey+GDx+Oa665Bm+99VbKLUQvvvginn32WSxbtgyXXnopRo8ejfvuuw8VFRWWxAEvpKenY/bs2Thw4ACGDx+Ofv36YebMmQBUa+LQoUMxadIk/PWvf8Xq1auxaNEiZGdnG+bo2LEjCgoKsH79egwZMgT9+vXDBx98YHs+QRDw7rvvYuLEiZgzZw5GjRqFxx57DOPGjcNXX32VUvcth8PhcBoGAiGE1PciOI2b/Px89OzZEx9++GF9L4XD4XA4nGMKblHjcDgcDofDaaBwRY3D4XA4HA6ngcJdnxwOh8PhcDgNlIQtasuWLcPYsWPRpk0bLbg5HkuXLkWfPn20Zt0vvPBCMmvlcDgcDofDOa5IWFGrqKhAr1698Oyzz3oav337dowaNQqDBw/WmmXffPPNWLhwYcKL5XA4HA6HwzmeqJHrUxAEvPPOOzj//PMdx9x55514//33Df0Nr7/+eqxfv95z6yNFUbBnzx40adIEgiAku1wOh9OIIISgrKwMbdq0MfSh5XA4nOOJWi94u3LlSgwfPtywbcSIEZg1axYikYhtz8twOIxwOKx9LiwsRPfu3Wt7qRwOpwGye/dutG3btr6XweFwOPVCrStqxcXFln6Xubm5iEaj2L9/P1q3bm05Ztq0abj//vst23fv3o2srKxaWyuHw2k4lJaWol27dmjSpEl9L4XD4XDqjTppIWV2V1Jvq5Mbc/LkyZg4caL2mQrsrKwsrqhxOMcZPNyBw+Ecz9S6opaXl4fi4mLDtpKSEvh8PseG28FgkLfD4XA4HA6Hc9xT6xG6AwYMwKJFiwzbPv/8c/Tt29c2Po3D4XA4HA6Ho5KwolZeXo51/7+9O4+Lqt7/B/5CdhBGAdkUAVGUxQ1IBLfccN+ywhbU7Jtfrrkg6VWzcrkV5q+8llcwt9SuJXU1495LCqYiBmkiEAqKCorCwAjqDC7sn98fXOZ7J1AZRDkDr+fjMY9H5zOfc877gw2+/Jw5n5OWhrS0NAC1y2+kpaUhLy8PQO1ly5kzZ6r7h4aG4tq1awgPD0dWVhZ27tyJHTt2YMmSJc0zAiIiIqJWSutLn2fOnMHw4cPV23XfJZs1axZ27doFuVyuDm0A4OrqitjYWCxevBibN2+Go6MjvvjiC0yfPr0ZyiciIiJqvXTiEVIqlQoymQxKpZI3ExC1EfzcExHxoexE9AzcK69C4qWb+ClD3tKlEBHplGeyPAcRtS3KB5U4c/UWTufewqncWyirrIavc0eM6GXb0qUREekUBjUiemLFd8vx239C2Zlrt6AHPfi5dIS/qxXeGtoNNu253A4RUVMwqBGR1gqVZTiVW4JTubdw9tptmBrpY4CrFYa622DxaHfITLn0DhFRc2BQI6LHKrlbjuScEiRdKcGZq7fQwcwIA12tMN7bASvHe8DcmL9KiIieBv52JaJ6SssqcSrnFpKulOBUbgkM9dshwM0a47zt8f4ET5ga6bd0iUREbQKDGhGhrLIaKddu45fLxUjOKUF5ZQ38u1kh0M0Gi0b14KVMIqIWwqBG1AbV1AicK1DiRPZNnLxcjJK7FfBz6YhANxu8McgVnSz45X8iIilgUCNqI4pUZTiRfRMnLhXjfL4SHg6WGOpug09f6osuHc1aujwiImoAgxpRK1VWWY3frt7Cieyb+OVyCcyM9DGkRye8McgFfbt0gH47vZYukYiIHoNBjaiVEELgsuIuErJvIvFSMW7cvl+7ZEaPTpg/gt8zIyLSRQxqRDrsbnkVfrlcjGMXFPjt6i10tTLDUPdOeH+iJ9w6mUNPj7NmRES6jEGNSMfkFt/D0QsKHLuggKK0DIO622BCHwesmeIFYwMum0FE1JowqBFJXEVVDU7n3sLRCwr8crkYnSyMMbyXLf4y1RuuNuYtXR4RET1FDGpEEqRQleHYRQWOXlDgUtFdPOdiheG9bBEe5I72fAoAEVGbwd/4RBJQXSOQfuMOjl1QICH7Jgza6eH5nrZYMKIHvBwt+V0zIqI2ikGNqIWUllUiIfsmjmYpkHb9DjwdLTGily1mB7rAuj0XnCUiIgY1omcq/84D/JxVhPjMItwsLcdQ904Ifs4J61/sAwP9di1dHhERSQyDGtFTJITAuXwV4rOKcOyCAqaG+hjlaYvVk73g1ql9S5dHREQSx6BG1MzKKquRnFOCI5lFSM4pQU87C4zysMPuOQNgZW7U0uUREZEOYVAjaga37lXg6AUFjmQW4ZKiFAFu1hjtaYf3J3rCxJBrmxERUdMwqBE10ZWbd3EkswhHsopQXlWD4T1tMX9Ed96lSUREzYZBjaiRqmsEUq7dxpGsIiRcvAk7mQlGe9hi44z+6NzBtKXLIyKiVohBjegR7pVXIfHSTcRlFiEt7w76OXXAKE87LBjRHRYmfMg5ERE9XQxqRH9QqCzDkazaS5ryO2UY6m6DYD8nrJ/OJTSIiOjZYlCjNk8IgUy5CkcyFTh6oQhGBu0w0sMO703whFsnc37fjIiIWgyDGrVJldW1DzqPzyzCycvFcOtkjlEedtgx+znY8KkAREQkEU26jhMZGQlXV1eYmJjA19cXiYmJj+y/d+9e9O3bF2ZmZnBwcMAbb7yBkpKSJhVM1FT3yqvwU4Yci6PTMGbjCcSkFWBIDxv8a8FgfBnih5f8nBjSiIhIUvSEEEKbHaKjoxESEoLIyEgMGjQIX375JbZv347MzEx07dq1Xv+TJ09i2LBh+Otf/4pJkyYhPz8foaGh6NGjB3744YdGnVOlUkEmk0GpVMLS0lKbcqmNu1lajp+zihCXWYQbt+9jmHsnBHnZw6drR+i34yVNKePnnoioCUHN398fPj4+iIqKUrd5eHhg6tSpiIiIqNf/008/RVRUFK5cuaJu27RpE9avX4/r1683eI7y8nKUl5ert1UqFZycnPgLmxolt/ge4s4X4khWESqqBUZ72GK0pz3c7drz+2Y6hEGNiEjLS58VFRVISUlBUFCQRntQUBCSkpIa3CcwMBA3btxAbGwshBAoKirCP/7xD0yYMOGh54mIiIBMJlO/nJyctCmT2piaGoH063fw/w5fwLjPE/H+wXMwNdLH5zP648e3B2H+iB7oaW/BkEZERDpHq5sJiouLUV1dDTs7O412Ozs7FBYWNrhPYGAg9u7di+DgYJSVlaGqqgqTJ0/Gpk2bHnqeFStWIDw8XL1dN6NGVKeiqga/5pQgLrMQyVdK0MveEqM97TB3iBtkZlzfjIiIWocm3fX5x5kJIcRDZysyMzOxcOFCfPDBBxgzZgzkcjmWLl2K0NBQ7Nixo8F9jI2NYWzML3WTptKySiRk30Tc+SKcy1fCv5sVgjzt8d4EPk+TiIhaJ62Cmo2NDfT19evNnikUinqzbHUiIiIwaNAgLF26FADQp08fmJubY8iQIfjwww/h4ODQxNKpLVCoyhCfVYS480UoVJbh+Z6dMCvQGf2ceDMAERG1floFNSMjI/j6+iI+Ph7Tpk1Tt8fHx2PKlCkN7nP//n0YGGieRl+/dvZDy/sYqI3IK7mPQ+flOHy+CNU1AqM97fD+RA+4deLNAERE1LZofekzPDwcISEh8PPzQ0BAALZu3Yq8vDyEhoYCqP1+WX5+Pvbs2QMAmDRpEt566y1ERUWpL32GhYVhwIABcHR0bN7RkE4SQuCy4i5+OleI+MwimBnpY5y3PTa90h+OfNg5ERG1YVoHteDgYJSUlGDt2rWQy+Xw9vZGbGwsnJ2dAQByuRx5eXnq/rNnz0ZpaSn+9re/4Z133kGHDh0wYsQIfPLJJ803CtI5Qgicy1fhp3NyHL2ggJ2lCcZ52+OrN/hkACIiojpar6PWErieUutQXSNwNu82Dp0rREL2Tbh1Msc4bwcM72ULmSnv1CRN/NwTEfFZn/SUVVbXLqNx6FwhknNK0LuzDOO87fFOkDvMjPi/HxER0aPwb0pqdmWV1Ui8VIxD5wqRmncbz7lYYWxve3wwyRPGBlxGg4iIqLEY1KhZPKioxvGLCvw7Q45MuQpDuttgum9nfDK9Nwz0tXoABhEREf0Hgxo1WVllXTgrRGaBEsPcbfHGIBf0d+qIdlzjjIiI6IkxqJFWasPZzdqZs/+Es9mBzgxnRERETwGDGj1WXTiLzZDjXIESw9w7YVaAM3y6MpwRERE9TQxq1KCyymokZP8nnOUrMaRHJ8xkOCMiInqmGNRIrayyGieyay9rZuQrMbRHJ7w+0Bm+DGdEREQtgkGtjauoqsHJyzcRk1aA3/8Tzl7zd4afM8MZERFRS2NQa4OqawRO5Zbgn+lynMopwUA3a8wY0BUbXKwYzoiIiCSEQa2NEELg9xtK/JhWgOPZCvTt0gGT+zpi7RQvGHKdMyIiIkliUGvlsotKEZNWgLjMQrjamGNy387489ieMDHkEwKIiIikjkGtFbp+6z5i0gsQmyGHdXtjTO7riH/8KRCWJnzwORERkS5hUGslFKVl+PfvcvwzvQAG7dphUl8H7J4zADbtjVu6NCIiImoiBjUdprxfiUPn5YhJL4DqQRUm9HHApld90LmDaUuXRkRERM2AQU3H3K+owpEsBWLSCnDj9n2M8bLHmsne6G7bvqVLIyIiombGoKYDKqpqcCL7JmLSC3C+QImRHnYIG9UDXo6W0NPjchpEREStFYOaRFXXCJzOvYWY9HycyrmFADdrvObfFc9xrTMiIqI2g0FNQoQQOJevwo9p+Th68T9rnfVzxNop3lzrjIiIqA1iUJOAKzfvIiatAIfOFcLZ2gyT+zninaCeMDXiWmdERERtGYNaC5ErH+Bf6XL88/cCWJgYYErfzvguNAAyU651RkRERLUY1J6h2/cqEHtOjpi0AlRU12BSH0dsn+kHW0uTli6NiIiIJIhB7Sm7V16FI1lFiEkrQP6dB5jQ2wGfTO8DFxvzli6NiIiIJI5B7Sn443IaozztEB7kDk8HLqdBREREjceg1kxqagRO5d5CTHoBTuWUILC7NV4f6Aw/545cToOIiIiahEHtCdQtpxGTno+jFxToo15Ow4vLaRAREdETa1KaiIyMhKurK0xMTODr64vExMRH9i8vL8fKlSvh7OwMY2NjuLm5YefOnU0qWApybt7FxiPZGPd5Ir44egl9nTrgXwuG4K/B/TC8py1DGhERETULrWfUoqOjERYWhsjISAwaNAhffvklxo0bh8zMTHTt2rXBfV5++WUUFRVhx44d6N69OxQKBaqqqp64+GepUFmGf/1egH+mF8Dc2ABT+jkiem4AZGZcToOIiIieDj0hhNBmB39/f/j4+CAqKkrd5uHhgalTpyIiIqJe/0OHDmHGjBnIycmBlZVVk4pUqVSQyWRQKpWwtLRs0jGa4s79CsRmFCImPR9llTWY1NcRE/s4wI7LaRA9dS31uScikhKtZtQqKiqQkpKC5cuXa7QHBQUhKSmpwX1iYmLg5+eH9evX4+uvv4a5uTkmT56Mv/zlLzA1NW1wn/LycpSXl6u3VSqVNmU+kfsVVYjP/L/lNMb3dsC6F7icBhERET17WgW14uJiVFdXw87OTqPdzs4OhYWFDe6Tk5ODkydPwsTEBD/88AOKi4sxb9483Lp166HfU4uIiMCaNWu0Ke2JVFTVIPHSTfyYVoBMuQoje9lyOQ0iIiJqcU266/OP4UUI8dBAU1NTAz09PezduxcymQwAsGHDBrz44ovYvHlzg7NqK1asQHh4uHpbpVLBycmpKaU+VE2NwOmrt/BjWu1yGgFuXE6DiIiIpEWroGZjYwN9ff16s2cKhaLeLFsdBwcHdO7cWR3SgNrvtAkhcOPGDfTo0aPePsbGxjA2NtamtEYRQuB8gQo/ptUup9G7swxT+nXmchpEREQkSVoFNSMjI/j6+iI+Ph7Tpk1Tt8fHx2PKlCkN7jNo0CB8//33uHv3Ltq3bw8AyM7ORrt27dClS5cnKL3xcm7eRUx6AQ6dK0SXjmaY0s8R4aN7wtRI/5mcn4iIiKgptL7rMzo6GiEhIdiyZQsCAgKwdetWbNu2DefPn4ezszNWrFiB/Px87NmzBwBw9+5deHh4YODAgVizZg2Ki4vxP//zPxg2bBi2bdvWqHM25e4v9XIav8thbqSPyX0dMc7bgctpEOkI3vVJRNSE76gFBwejpKQEa9euhVwuh7e3N2JjY+Hs7AwAkMvlyMvLU/dv37494uPjsWDBAvj5+cHa2hovv/wyPvzww+YbxX/cuV+Bn84V4se0/1tOY2uIL5fTICIiIp2k9YxaS3jUv6zvV1ThSJYCMWn5uHG7djmNSX0d4crlNIh0GmfUiIh09FmfldX/t5zGuXwlRnnYIWyUO7wcuZwGERERtR46FdTO5N7CkZxr+PVK7XIarw7oiudcrLicBhEREbVKOhXUvk+5jpcC3bF6kheMDLicBhEREbVuOhXUPnmxL7+rQkRERG0Gp6WIiIh03K5du9ChQwf19urVq9GvX78Wq4eaD4MaERFRK7NkyRL8/PPPjerLUCdtOnXpk4iIiB6vffv26qcBkW7jjBoREdFDPP/881iwYAHCwsLQsWNH2NnZYevWrbh37x7eeOMNWFhYwM3NDT/99JN6n+rqarz55ptwdXWFqakpevbsic8//1z9fllZGby8vDB37lx1W25uLmQyWaOf2LNr1y507doVZmZmmDZtGkpKSjTe/+Ms2fHjxzFgwACYm5ujQ4cOGDRoEK5du4Zdu3ZhzZo1SE9Ph56eHvT09LBr1y4AwIYNG9C7d2+Ym5vDyckJ8+bNw927dzVq6NChAw4fPgwPDw+0b98eY8eOhVwu16hl586d8PLygrGxMRwcHDB//nz1e0qlEnPnzoWtrS0sLS0xYsQIpKenN+pn0FYwqBERET3C7t27YWNjg9OnT2PBggX405/+hJdeegmBgYE4e/YsxowZg5CQENy/fx8AUFNTgy5duuC7775DZmYmPvjgA7z77rv47rvvAAAmJibYu3cvdu/ejYMHD6K6uhohISEYPnw43nrrrcfWc+rUKcyZMwfz5s1DWloahg8f/sin/VRVVWHq1KkYNmwYfv/9dyQnJ2Pu3LnQ09NDcHAw3nnnHXh5eUEul0MulyM4OBgA0K5dO3zxxRc4d+4cdu/ejaNHj+LPf/6zxrHv37+PTz/9FF9//TVOnDiBvLw8LFmyRP1+VFQU3n77bcydOxcZGRmIiYlB9+7dAQBCCEyYMAGFhYWIjY1FSkoKfHx8MHLkSNy6dQsAcPXqVejp6eH48eON/wNrbYQOUCqVAoBQKpUtXQoRPSP83JMUDBs2TAwePFi9XVVVJczNzUVISIi6TS6XCwAiOTn5oceZN2+emD59ukbb+vXrhY2NjViwYIGwt7cXN2/ebFRNr7zyihg7dqxGW3BwsJDJZOrtVatWib59+wohhCgpKREAxPHjxxs83n/3fZTvvvtOWFtbq7e/+uorAUBcvnxZ3bZ582ZhZ2en3nZ0dBQrV65s8Hg///yzsLS0FGVlZRrtbm5u4ssvvxRCCHHjxg3Rs2dPcerUqcfW11rxO2pERESP0KdPH/V/6+vrw9raGr1791a32dnZAQAUCoW6bcuWLdi+fTuuXbuGBw8eoKKiot4X9t955x38+OOP2LRpE3766SfY2Ng0qp6srCxMmzZNoy0gIACHDh1qsL+VlRVmz56NMWPGYPTo0Rg1ahRefvllODg4PPI8x44dw8cff4zMzEyoVCpUVVWhrKwM9+7dg7l57WMazczM4Obmpt7HwcFB/XNQKBQoKCjAyJEjGzx+SkoK7t69C2tra432Bw8e4MqVKwCAzp0748KFC4+ss7XjpU8iIqJHMDQ01NjW09PTaKt7dGFNTQ0A4LvvvsPixYsxZ84cxMXFIS0tDW+88QYqKio0jqNQKHDx4kXo6+vj0qVLja5HNOER3V999RWSk5MRGBiI6OhouLu749dff31o/2vXrmH8+PHw9vbG/v37kZKSgs2bNwMAKisr1f0a+tnU1WdqavrImmpqauDg4IC0tDSN18WLF7F06VKtx9hacUaNiIioGSUmJiIwMBDz5s1Tt9XNEP23OXPmwNvbG2+99RbefPNNjBw5Ep6eno89vqenZ72Q9ajQVad///7o378/VqxYgYCAAHzzzTcYOHAgjIyMUF1drdH3zJkzqKqqwmeffYZ27WrndOq+Y9dYFhYWcHFxwc8//4zhw4fXe9/HxweFhYUwMDCAi4uLVsduSzijRkRE1Iy6d++OM2fO4PDhw8jOzsb777+P3377TaPP5s2bkZycjD179uDVV1/Fiy++iNdee63erFtDFi5ciEOHDmH9+vXIzs7G3/72t4de9gRq7yhdsWIFkpOTce3aNcTFxSE7OxseHh4AABcXF+Tm5iItLQ3FxcUoLy+Hm5sbqqqqsGnTJuTk5ODrr7/Gli1btP5ZrF69Gp999hm++OILXLp0CWfPnsWmTZsAAKNGjUJAQACmTp2Kw4cP4+rVq0hKSsJ7772HM2fOAADy8/PRq1cvnD59WutztxYMakRERM0oNDQUL7zwAoKDg+Hv74+SkhKN2bULFy5g6dKliIyMhJOTE4Da4Hbnzh28//77jz3+wIEDsX37dmzatAn9+vVDXFwc3nvvvYf2NzMzw4ULFzB9+nS4u7tj7ty5mD9/Pv73f/8XADB9+nSMHTsWw4cPR6dOnfDtt9+iX79+2LBhAz755BN4e3tj7969iIiI0PpnMWvWLGzcuBGRkZHw8vLCxIkT1Zd59fT0EBsbi6FDh2LOnDlwd3fHjBkzcPXqVfX3/iorK3Hx4kX1HbVtkZ5oysXuZ0ylUkEmk0GpVPJZn0RtBD/3REScUSMiIiKSLAY1IiIiCRk3bpz6EVB/fH388cctXR49Y7zrk4iISEK2b9+OBw8eNPielZXVM66GWhqDGhERkYR07ty5pUsgCeGlTyIiIiKJYlAjIiJ6jMjISLi6usLExAS+vr5ITEx8ZP+EhAT4+vrCxMQE3bp1q7cG2fnz5zF9+nS4uLhAT08PGzdurHeM1atXQ09PT+Nlb29fr19WVhYmT54MmUwGCwsLDBw4EHl5eQCAW7duYcGCBejZsyfMzMzQtWtXLFy4EEqlUuMYdXX892v58uVa/pToaWBQIyIieoTo6GiEhYVh5cqVSE1NxZAhQzBu3Dh1GPqj3NxcjB8/HkOGDEFqaireffddLFy4EPv371f3uX//Prp164Z169Y1GL7qeHl5QS6Xq18ZGRka71+5cgWDBw9Gr169cPz4caSnp+P999+HiYkJAKCgoAAFBQX49NNPkZGRgV27duHQoUN48803651r7dq1Gud61Nps9OxwHTUikiR+7kkq/P394ePjg6ioKHWbh4cHpk6d2uAisMuWLUNMTAyysrLUbaGhoUhPT0dycnK9/i4uLggLC0NYWJhG++rVq3Hw4EGkpaU9tLYZM2bA0NAQX3/9daPH8/333+P111/HvXv3YGBg8MgaqOVxRo2IiOghKioqkJKSgqCgII32oKAgJCUlNbhPcnJyvf5jxozBmTNnNB5o3hiXLl2Co6MjXF1dMWPGDOTk5Kjfq6mpwb///W+4u7tjzJgxsLW1hb+/Pw4ePPjIY9b946cupNX55JNPYG1tjX79+uGjjz5q1OOs6OljUCMiInqI4uJiVFdXqx9pVMfOzg6FhYUN7lNYWNhg/6qqKhQXFzf63P7+/tizZw8OHz6Mbdu2obCwEIGBgSgpKQEAKBQK3L17F+vWrcPYsWMRFxeHadOm4YUXXkBCQkKDxywpKcFf/vIX9eOj6ixatAj79u3DsWPHMH/+fGzcuFHjsVfUcrg8BxER0WPo6elpbAsh6rU9rn9D7Y8ybtw49X/37t0bAQEBcHNzw+7duxEeHo6amhoAwJQpU7B48WIAQL9+/ZCUlIQtW7Zg2LBhGsdTqVSYMGECPD09sWrVKo336vYHgD59+qBjx4548cUX1bNs1HKaNKOm7d0vdX755RcYGBigX79+TTktERHRM2VjYwN9ff16s2cKhaLerFkde3v7BvsbGBg8UegxNzdH79691Q81t7GxgYGBATw9PTX6eXh41LvRobS0FGPHjkX79u3xww8/wNDQ8JHnGjhwIADg8uXLTa6XmofWQU3bu1/qKJVKzJw5EyNHjmxysURERM+SkZERfH19ER8fr9EeHx+PwMDABvcJCAio1z8uLg5+fn6PDUiPUl5ejqysLDg4OKhre+6553Dx4kWNftnZ2XB2dlZvq1QqBAUFwcjICDExMeo7Qh8lNTUVANTnohYktDRgwAARGhqq0darVy+xfPnyR+4XHBws3nvvPbFq1SrRt2/fR/YtKysTSqVS/bp+/boAIJRKpbblEpGOUiqV/NyTJOzbt08YGhqKHTt2iMzMTBEWFibMzc3F1atXhRBCLF++XISEhKj75+TkCDMzM7F48WKRmZkpduzYIQwNDcU//vEPdZ/y8nKRmpoqUlNThYODg1iyZIlITU0Vly5dUvd55513xPHjx0VOTo749ddfxcSJE4WFhYX6vEIIceDAAWFoaCi2bt0qLl26JDZt2iT09fVFYmKiEEIIlUol/P39Re/evcXly5eFXC5Xv6qqqoQQQiQlJYkNGzaI1NRUkZOTI6Kjo4Wjo6OYPHnyU/25UuNoFdTKy8uFvr6+OHDggEb7woULxdChQx+6386dO4Wfn5+orKxsVFBbtWqVAFDvxV/YRG0HgxpJyebNm4Wzs7MwMjISPj4+IiEhQf3erFmzxLBhwzT6Hz9+XPTv318YGRkJFxcXERUVpfF+bm5ug3/P/fdxgoODhYODgzA0NBSOjo7ihRdeEOfPn69X244dO0T37t2FiYmJ6Nu3rzh48KD6vWPHjjV4HgAiNzdXCCFESkqK8Pf3FzKZTJiYmIiePXuKVatWiXv37j35D46emFbrqBUUFKBz58745ZdfNKZ8P/74Y+zevbve9CtQe2vx4MGDkZiYCHd390atC1NeXo7y8nL1tkqlgpOTE9dTImpDuI4aEVET7/ps7N0v1dXVePXVV7FmzRq4u7s3+vjGxsYwNjZuSmlERERErYZWQU3bu19KS0tx5swZpKamYv78+QBqF+gTQsDAwABxcXEYMWLEE5RPRERE1Hppddentne/WFpaIiMjA2lpaepXaGgoevbsibS0NPj7+z9Z9UREREStmNaXPsPDwxESEgI/Pz8EBARg69atyMvLQ2hoKABgxYoVyM/Px549e9CuXTt4e3tr7G9rawsTE5N67URERESkSeugFhwcjJKSEqxduxZyuRze3t6IjY1Vr9kil8sfu6YaERERET2eVnd9thTe/UXU9vBzT0TEh7ITERERSRaDGhEREZFEMagRERERSRSDGhEREZFEMagRERERSRSDGhEREZFEMagRERERSRSDGhEREZFEMagRERERSRSDGhEREZFEMagRERERSRSDGhEREZFEMagRERERSRSDGhEREZFEMagRERERSRSDGhEREZFEMagRERERSRSDGhEREZFEMagRERERSRSDGhEREZFEMagRERERSRSDGhEREZFEMagRERERSRSDGhEREZFEMagRERERSRSDGhEREZFENSmoRUZGwtXVFSYmJvD19UViYuJD+x44cACjR49Gp06dYGlpiYCAABw+fLjJBRMRERG1FVoHtejoaISFhWHlypVITU3FkCFDMG7cOOTl5TXY/8SJExg9ejRiY2ORkpKC4cOHY9KkSUhNTX3i4omIiIhaMz0hhNBmB39/f/j4+CAqKkrd5uHhgalTpyIiIqJRx/Dy8kJwcDA++OCDRvVXqVSQyWRQKpWwtLTUplwi0lH83BMRaTmjVlFRgZSUFAQFBWm0BwUFISkpqVHHqKmpQWlpKaysrB7ap7y8HCqVSuNFRERE1NZoFdSKi4tRXV0NOzs7jXY7OzsUFhY26hifffYZ7t27h5dffvmhfSIiIiCTydQvJycnbcokIiIiahWadDOBnp6exrYQol5bQ7799lusXr0a0dHRsLW1fWi/FStWQKlUql/Xr19vSplEREREOs1Am842NjbQ19evN3umUCjqzbL9UXR0NN588018//33GDVq1CP7Ghsbw9jYWJvSiIiIiFodrWbUjIyM4Ovri/j4eI32+Ph4BAYGPnS/b7/9FrNnz8Y333yDCRMmNK1SIiIiojZGqxk1AAgPD0dISAj8/PwQEBCArVu3Ii8vD6GhoQBqL1vm5+djz549AGpD2syZM/H5559j4MCB6tk4U1NTyGSyZhwKERERUeuidVALDg5GSUkJ1q5dC7lcDm9vb8TGxsLZ2RkAIJfLNdZU+/LLL1FVVYW3334bb7/9trp91qxZ2LVr15OPgIiIiKiV0nodtZbA9ZSI2h5+7omI+KxPIiIiIsliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIolqUlCLjIyEq6srTExM4Ovri8TExEf2T0hIgK+vL0xMTNCtWzds2bKlScUSERERtSVaB7Xo6GiEhYVh5cqVSE1NxZAhQzBu3Djk5eU12D83Nxfjx4/HkCFDkJqainfffRcLFy7E/v37n7h4IiIiotZMTwghtNnB398fPj4+iIqKUrd5eHhg6tSpiIiIqNd/2bJliImJQVZWlrotNDQU6enpSE5ObvAc5eXlKC8vV28rlUp07doV169fh6WlpTblEpGOUqlUcHJywp07dyCTyVq6HCKiFmGgTeeKigqkpKRg+fLlGu1BQUFISkpqcJ/k5GQEBQVptI0ZMwY7duxAZWUlDA0N6+0TERGBNWvW1Gt3cnLSplwiagVKS0sZ1IiozdIqqBUXF6O6uhp2dnYa7XZ2digsLGxwn8LCwgb7V1VVobi4GA4ODvX2WbFiBcLDw9Xbd+7cgbOzM/Ly8nTyF3bdzIAuzwjq+hh0vX6g7Y1BCIHS0lI4Ojo+o+qIiKRHq6BWR09PT2NbCFGv7XH9G2qvY2xsDGNj43rtMplMZ/+CAgBLS0udrh/Q/THoev1A2xqDLv7DjIioOWl1M4GNjQ309fXrzZ4pFIp6s2Z17O3tG+xvYGAAa2trLcslIiIiaju0CmpGRkbw9fVFfHy8Rnt8fDwCAwMb3CcgIKBe/7i4OPj5+TX4/TQiIiIiqqX18hzh4eHYvn07du7ciaysLCxevBh5eXkIDQ0FUPv9spkzZ6r7h4aG4tq1awgPD0dWVhZ27tyJHTt2YMmSJY0+p7GxMVatWtXg5VBdoOv1A7o/Bl2vH+AYiIjaIq2X5wBqF7xdv3495HI5vL298de//hVDhw4FAMyePRtXr17F8ePH1f0TEhKwePFinD9/Ho6Ojli2bJk62BERERFRw5oU1IiIiIjo6eOzPomIiIgkikGNiIiISKIY1IiIiIgkikGNiIiISKIkH9QiIyPh6uoKExMT+Pr6IjExsaVLAlD7PNLnnnsOFhYWsLW1xdSpU3Hx4kWNPkIIrF69Go6OjjA1NcXzzz+P8+fPa/QpLy/HggULYGNjA3Nzc0yePBk3btx4lkMBUDsePT09hIWFqdt0of78/Hy8/vrrsLa2hpmZGfr164eUlBSdGUNVVRXee+89uLq6wtTUFN26dcPatWtRU1MjyTGcOHECkyZNgqOjI/T09HDw4EGN95ur1tu3byMkJAQymQwymQwhISG4c+dOs4+HiEjyhITt27dPGBoaim3btonMzEyxaNEiYW5uLq5du9bSpYkxY8aIr776Spw7d06kpaWJCRMmiK5du4q7d++q+6xbt05YWFiI/fv3i4yMDBEcHCwcHByESqVS9wkNDRWdO3cW8fHx4uzZs2L48OGib9++oqqq6pmN5fTp08LFxUX06dNHLFq0SGfqv3XrlnB2dhazZ88Wp06dErm5ueLIkSPi8uXLOjOGDz/8UFhbW4t//etfIjc3V3z//feiffv2YuPGjZIcQ2xsrFi5cqXYv3+/ACB++OEHjfebq9axY8cKb29vkZSUJJKSkoS3t7eYOHFis46FiEgXSDqoDRgwQISGhmq09erVSyxfvryFKno4hUIhAIiEhAQhhBA1NTXC3t5erFu3Tt2nrKxMyGQysWXLFiGEEHfu3BGGhoZi37596j75+fmiXbt24tChQ8+k7tLSUtGjRw8RHx8vhg0bpg5qulD/smXLxODBgx/6vi6MYcKECWLOnDkabS+88IJ4/fXXJT+GPwa15qo1MzNTABC//vqruk9ycrIAIC5cuPDUxkNEJEWSvfRZUVGBlJQUBAUFabQHBQUhKSmphap6OKVSCQCwsrICAOTm5qKwsFCjfmNjYwwbNkxdf0pKCiorKzX6ODo6wtvb+5mN8e2338aECRMwatQojXZdqD8mJgZ+fn546aWXYGtri/79+2Pbtm06NYbBgwfj559/RnZ2NgAgPT0dJ0+exPjx43VmDHWaq9bk5GTIZDL4+/ur+wwcOBAymUySn30ioqfJoKULeJji4mJUV1fXe9i7nZ1dvYe8tzQhBMLDwzF48GB4e3sDgLrGhuq/du2auo+RkRE6duxYr8+zGOO+fftw9uxZ/Pbbb/Xe04X6c3JyEBUVhfDwcLz77rs4ffo0Fi5cCGNjY8ycOVMnxrBs2TIolUr06tUL+vr6qK6uxkcffYRXXnlFXZ/Ux1CnuWotLCyEra1tvePb2tpK7rNPRPS0STao1dHT09PYFkLUa2tp8+fPx++//46TJ0/We68p9T+LMV6/fh2LFi1CXFwcTExMHtpPqvUDQE1NDfz8/PDxxx8DAPr374/z588jKipK43mzUh5DdHQ0/v73v+Obb76Bl5cX0tLSEBYWBkdHR8yaNUvdT8pj+KPmqLWh/lL87BMRPW2SvfRpY2MDfX39ev+CVigU9f7F3pIWLFiAmJgYHDt2DF26dFG329vbA8Aj67e3t0dFRQVu37790D5PS0pKChQKBXx9fWFgYAADAwMkJCTgiy++gIGBgfr8Uq0fABwcHODp6anR5uHhgby8PHV9gLTHsHTpUixfvhwzZsxA7969ERISgsWLFyMiIkJnxlCnuWq1t7dHUVFRvePfvHlTUp99IqJnQbJBzcjICL6+voiPj9doj4+PR2BgYAtV9X+EEJg/fz4OHDiAo0ePwtXVVeN9V1dX2Nvba9RfUVGBhIQEdf2+vr4wNDTU6COXy3Hu3LmnPsaRI0ciIyMDaWlp6pefnx9ee+01pKWloVu3bpKuHwAGDRpUb0mU7OxsODs7A5D+nwEA3L9/H+3aaX4M9fX11ctz6MIY6jRXrQEBAVAqlTh9+rS6z6lTp6BUKiXx2ScieqZa4g6GxqpbnmPHjh0iMzNThIWFCXNzc3H16tWWLk386U9/EjKZTBw/flzI5XL16/79++o+69atEzKZTBw4cEBkZGSIV155pcGlCrp06SKOHDkizp49K0aMGPHMl+eo8993fepC/adPnxYGBgbio48+EpcuXRJ79+4VZmZm4u9//7vOjGHWrFmic+fO6uU5Dhw4IGxsbMSf//xnSY6htLRUpKamitTUVAFAbNiwQaSmpqqXzGmuWseOHSv69OkjkpOTRXJysujduzeX5yCiNknSQU0IITZv3iycnZ2FkZGR8PHxUS9/0dIANPj66quv1H1qamrEqlWrhL29vTA2NhZDhw4VGRkZGsd58OCBmD9/vrCyshKmpqZi4sSJIi8v7xmPptYfg5ou1P/Pf/5TeHt7C2NjY9GrVy+xdetWjfelPgaVSiUWLVokunbtKkxMTES3bt3EypUrRXl5uSTHcOzYsQb/v581a1az1lpSUiJee+01YWFhISwsLMRrr70mbt++3ezjISKSOj0hhGiZuTwiIiIiehTJfkeNiIiIqK1jUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIoliUCMiIiKSKAY1IiIiIon6//uPE0ou9adzAAAAAElFTkSuQmCC",
|
|
"text/plain": [
|
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"<Figure size 640x480 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Plotting of compound animation\n",
|
|
"from matplotlib import animation\n",
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"\n",
|
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"LINEWIDTH = 0.6\n",
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"\n",
|
|
"utk_rdfdata = load_utk_rdfseries(\"../result_data/rdffiles_Heck_UTK/\")\n",
|
|
"psa_rdfdata = load_heck_pcfseries(\"../result_data/pcffiles_PSA/\")\n",
|
|
"utk_pcfdata = load_pcfseries(\"../result_data/pcffiles_UTK/\")\n",
|
|
"\n",
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"utk_rdf_keys = sorted(utk_rdfdata.keys())\n",
|
|
"psa_keys = sorted(psa_rdfdata.keys())\n",
|
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"utk_pcf_keys = sorted(utk_pcfdata.keys())\n",
|
|
"\n",
|
|
"assert utk_rdf_keys == psa_keys == utk_pcf_keys\n",
|
|
"\n",
|
|
"fig, ax = plt.subplots(2,2, sharex=False, sharey=False)\n",
|
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"fig.tight_layout()\n",
|
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"\n",
|
|
"plot_utk_rdf = ax[0][0].plot(utk_rdfdata[utk_rdf_keys[0]][0], utk_rdfdata[utk_rdf_keys[0]][1], linewidth=LINEWIDTH)[0]\n",
|
|
"ax[0][0].set(xlim=[0, 0.02], ylim=[-0.1, 0.1])\n",
|
|
"\n",
|
|
"plot_psa_rdf = ax[0][1].plot(psa_rdfdata[psa_keys[0]][0], psa_rdfdata[psa_keys[0]][1], linewidth=LINEWIDTH)[0]\n",
|
|
"ax[0][1].set(xlim=[0, 0.02], ylim=[-0.1, 0.1])\n",
|
|
"\n",
|
|
"plot_utk_pcf = ax[1][0].plot(utk_pcfdata[utk_pcf_keys[0]][0], utk_pcfdata[utk_pcf_keys[0]][1], linewidth=LINEWIDTH)[0]\n",
|
|
"ax[1][0].set(xlim=[0, 0.02], ylim=[-0.1, 0.1])\n",
|
|
"\n",
|
|
"ax[1][1].set_axis_off()\n",
|
|
"ax[1][1].set(xlim=[0, 1.0], ylim=[0, 1.0])\n",
|
|
"ax[1][1].text(0.4, 0.4, \"max_distance: \\n\" + utk_pcf_keys[0])\n",
|
|
"\n",
|
|
"def update(frame):\n",
|
|
" # determine maximum for plot scaling\n",
|
|
" maxx_0 = max(utk_rdfdata[utk_rdf_keys[frame]][0])\n",
|
|
" maxy_0 = max(utk_rdfdata[utk_rdf_keys[frame]][1])\n",
|
|
"\n",
|
|
" maxx_1 = max(psa_rdfdata[psa_keys[frame]][0])\n",
|
|
" maxy_1 = max(psa_rdfdata[psa_keys[frame]][1])\n",
|
|
"\n",
|
|
" maxx_2 = max(utk_pcfdata[utk_pcf_keys[frame]][0])\n",
|
|
" maxy_2 = max(utk_pcfdata[utk_pcf_keys[frame]][1])\n",
|
|
" \n",
|
|
" ax[0][0].set(xlim=[0, maxx_0 * 1.05], ylim=[0, maxy_0 * 1.05])\n",
|
|
" ax[0][0].set_title(\"Heck in UTK\")\n",
|
|
" \n",
|
|
" plot_utk_rdf.set_xdata(utk_rdfdata[utk_rdf_keys[frame]][0])\n",
|
|
" plot_utk_rdf.set_ydata(utk_rdfdata[utk_rdf_keys[frame]][1])\n",
|
|
"\n",
|
|
" ################\n",
|
|
" \n",
|
|
" ax[0][1].set(xlim=[0, maxx_1 * 1.05], ylim=[0, maxy_1 * 1.05])\n",
|
|
" ax[0][1].set_title(\"PSA implementation\")\n",
|
|
" \n",
|
|
" plot_psa_rdf.set_xdata(psa_rdfdata[psa_keys[frame]][0])\n",
|
|
" plot_psa_rdf.set_ydata(psa_rdfdata[psa_keys[frame]][1])\n",
|
|
"\n",
|
|
" ################ \n",
|
|
" \n",
|
|
" ax[1][0].set(xlim=[0, maxx_2 * 1.05], ylim=[0, maxy_2 * 1.05])\n",
|
|
" ax[1][0].set_title(\"UTK implementation\")\n",
|
|
" \n",
|
|
" plot_utk_pcf.set_xdata(utk_pcfdata[utk_pcf_keys[frame]][0])\n",
|
|
" plot_utk_pcf.set_ydata(utk_pcfdata[utk_pcf_keys[frame]][1])\n",
|
|
"\n",
|
|
" ################\n",
|
|
" ax[1][1].clear()\n",
|
|
" ax[1][1].set_axis_off()\n",
|
|
" ax[1][1].set(xlim=[0, 1.0], ylim=[0, 1.0])\n",
|
|
" ax[1][1].text(0.4, 0.4, \"max_distance: \\n\" + utk_pcf_keys[frame])\n",
|
|
"\n",
|
|
"maxkeylen = max(max(len(utk_rdf_keys), len(psa_keys)), len(utk_pcf_keys))\n",
|
|
"\n",
|
|
"anim = animation.FuncAnimation(fig=fig, func=update, frames=maxkeylen, interval=300)\n",
|
|
"anim.save(\"animation_compound.mp4\", dpi=600, writer=\"ffmpeg\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"id": "2a1e9a6e-a307-47c8-8aa6-de7c5a3166f3",
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"ename": "FileNotFoundError",
|
|
"evalue": "[Errno 2] No such file or directory: '../psa/cmake-build-debug/sampled_rdf.txt'",
|
|
"output_type": "error",
|
|
"traceback": [
|
|
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
|
|
"\u001b[0;31mFileNotFoundError\u001b[0m Traceback (most recent call last)",
|
|
"Cell \u001b[0;32mIn[12], line 5\u001b[0m\n\u001b[1;32m 1\u001b[0m spectrum \u001b[38;5;241m=\u001b[39m load_spectrum_to_matrix(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m../cmake-build-debug/spectrum.txt\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 3\u001b[0m (px, py) \u001b[38;5;241m=\u001b[39m load_pointset(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m../result_data/sampled.txt\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m----> 5\u001b[0m (pcfx, pcfy) \u001b[38;5;241m=\u001b[39m \u001b[43mload_heck_pcf\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43m../psa/cmake-build-debug/sampled_rdf.txt\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[1;32m 7\u001b[0m (specxs, specys) \u001b[38;5;241m=\u001b[39m load_radspec(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m../cmake-build-debug/radSpec.txt\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 9\u001b[0m fig, ax \u001b[38;5;241m=\u001b[39m plt\u001b[38;5;241m.\u001b[39msubplots(\u001b[38;5;241m2\u001b[39m, \u001b[38;5;241m2\u001b[39m)\n",
|
|
"Cell \u001b[0;32mIn[7], line 5\u001b[0m, in \u001b[0;36mload_heck_pcf\u001b[0;34m(filepath)\u001b[0m\n\u001b[1;32m 2\u001b[0m xs \u001b[38;5;241m=\u001b[39m []\n\u001b[1;32m 3\u001b[0m ys \u001b[38;5;241m=\u001b[39m []\n\u001b[0;32m----> 5\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m \u001b[38;5;28;43mopen\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mfilepath\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43mr\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m)\u001b[49m \u001b[38;5;28;01mas\u001b[39;00m specfile:\n\u001b[1;32m 6\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m line \u001b[38;5;129;01min\u001b[39;00m specfile\u001b[38;5;241m.\u001b[39mreadlines():\n\u001b[1;32m 7\u001b[0m x, y \u001b[38;5;241m=\u001b[39m line\u001b[38;5;241m.\u001b[39msplit(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m \u001b[39m\u001b[38;5;124m\"\u001b[39m)\n",
|
|
"File \u001b[0;32m/nix/store/7km40f9z07gb81vd3041jm5l4v7xk4aa-python3-3.11.9-env/lib/python3.11/site-packages/IPython/core/interactiveshell.py:324\u001b[0m, in \u001b[0;36m_modified_open\u001b[0;34m(file, *args, **kwargs)\u001b[0m\n\u001b[1;32m 317\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m file \u001b[38;5;129;01min\u001b[39;00m {\u001b[38;5;241m0\u001b[39m, \u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m2\u001b[39m}:\n\u001b[1;32m 318\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m 319\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mIPython won\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mt let you open fd=\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mfile\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m by default \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 320\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mas it is likely to crash IPython. If you know what you are doing, \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 321\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124myou can use builtins\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m open.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 322\u001b[0m )\n\u001b[0;32m--> 324\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mio_open\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfile\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n",
|
|
"\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: '../psa/cmake-build-debug/sampled_rdf.txt'"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"\n",
|
|
"spectrum = load_spectrum_to_matrix(\"../cmake-build-debug/spectrum.txt\")\n",
|
|
"\n",
|
|
"(px, py) = load_pointset(\"../result_data/sampled.txt\")\n",
|
|
"\n",
|
|
"(pcfx, pcfy) = load_heck_pcf(\"../psa/cmake-build-debug/sampled_rdf.txt\")\n",
|
|
"\n",
|
|
"(specxs, specys) = load_radspec(\"../cmake-build-debug/radSpec.txt\")\n",
|
|
"\n",
|
|
"fig, ax = plt.subplots(2, 2)\n",
|
|
"fig.tight_layout() \n",
|
|
"plt.rcParams['figure.dpi'] = 800\n",
|
|
"\n",
|
|
"\n",
|
|
"ax[0][0].set_aspect(1.0)\n",
|
|
"ax[0][0].scatter(px, py, s=0.2)\n",
|
|
"ax[0][0].set_title(\"Points\")\n",
|
|
"\n",
|
|
"ax[0][1].imshow(spectrum, cmap=\"gray\")\n",
|
|
"ax[0][1].set_title(\"Spectrum\")\n",
|
|
"\n",
|
|
"ax[1][0].plot(pcfx, pcfy, linewidth=0.5)\n",
|
|
"ax[1][0].set_title(\"PCF\")\n",
|
|
"\n",
|
|
"ax[1][1].plot(specxs, specys, linewidth=0.5)\n",
|
|
"ax[1][1].set_title(\"Power spectrum\")\n",
|
|
"plt.savefig(\"fullfig_generated_utk.png\", dpi=800)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"id": "41753602-44bb-44a9-a050-f1887589bd96",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
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"fig, ax = plt.subplots(1,2)\n",
|
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"ax[0].set_aspect(1)\n",
|
|
"#ax[1].set_aspect(1.0)\n",
|
|
"\n",
|
|
"pointset = load_pointset(\"../utk/cmake-build-debug/src/samplers/points.txt\")\n",
|
|
"ax[0].scatter(pointset[0], pointset[1], s=0.1)\n",
|
|
"\n",
|
|
"rdf = load_radspec(\"../utk/cmake-build-debug/src/samplers/rdf.txt\")\n",
|
|
"ax[1].set(xlim=[0.0, 0.26], ylim=[min(rdf[1]), max(rdf[1])])\n",
|
|
"ax[1].plot(rdf[0], rdf[1], linewidth = 0.2)\n",
|
|
"\n",
|
|
"plt.rcParams['figure.dpi'] = 400\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"id": "a217ce8d-fd36-4e2d-8c4a-90dba8c06cb4",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"import os\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"from matplotlib import animation\n",
|
|
"\n",
|
|
"\n",
|
|
"def generate_forceseries(path: str):\n",
|
|
" forces = []\n",
|
|
" for i in range(len(os.listdir(path))):\n",
|
|
" with open(os.path.join(path, \"force\" + str(i) + \".dat\"), 'r') as forcefile:\n",
|
|
" xs = []\n",
|
|
" ys = []\n",
|
|
" for line in forcefile.readlines():\n",
|
|
" x, y = line.split(\" \")\n",
|
|
" y.replace(\"\\n\", \"\")\n",
|
|
" xs.append(float(x))\n",
|
|
" ys.append(float(y))\n",
|
|
" forces.append((xs, ys)) \n",
|
|
" return forces"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"id": "122d231d-483c-46e8-8600-883a0e7b11fb",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"forces = generate_forceseries(\"../result_data/forces_unmodified\")\n",
|
|
"\n",
|
|
"fig, ax = plt.subplots()\n",
|
|
"plot = plt.plot(forces[0][0], forces[0][1])[0]\n",
|
|
"\n",
|
|
"def update(frame):\n",
|
|
" maxx = max(forces[frame][0])\n",
|
|
" maxy = max(forces[frame][1])\n",
|
|
" \n",
|
|
" ax.set(xlim=[0.0, maxx * 0.2], ylim=[0.0, maxy * 0.2])\n",
|
|
" ax.set_title(\"frame \" + str(frame))\n",
|
|
" plot.set_xdata(forces[frame][0])\n",
|
|
" plot.set_ydata(forces[frame][1])\n",
|
|
"\n",
|
|
"anim = animation.FuncAnimation(fig=fig, func=update, frames=len(forces), interval=300)\n",
|
|
"anim.save(\"animation_forces_16384.mp4\", dpi=600, writer=\"ffmpeg\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 26,
|
|
"id": "da02f09d-7498-423a-af68-e2e1a729efd4",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def load_pointset_series(path: str):\n",
|
|
" pointsets = {}\n",
|
|
" for pointset in os.listdir(path):\n",
|
|
" key = float(pointset.replace(\"pointset_\", \"\").replace(\".txt\", \"\"))\n",
|
|
" pointset = load_pointset(os.path.join(path, pointset))\n",
|
|
" pointsets[key] = pointset\n",
|
|
"\n",
|
|
" return pointsets\n",
|
|
" \n",
|
|
"\n",
|
|
"pcfs = load_utk_rdfseries(\"../result_data/pointset_series/rdffiles/\")\n",
|
|
"pointsets = load_pointset_series(\"../result_data/pointset_series/pointsets/\")\n",
|
|
"\n",
|
|
"keys = sorted(pointsets.keys())\n",
|
|
"\n",
|
|
"fig, ax = plt.subplots(1,2)\n",
|
|
"pointplot = ax[0].scatter(pointsets[keys[0]][0], pointsets[keys[0]][1], s=0.2)\n",
|
|
"rdfplot = ax[1].plot(pcfs[str(keys[0])][0],pcfs[str(keys[0])][1], linewidth=0.2)[0]\n",
|
|
"\n",
|
|
"fig.tight_layout()\n",
|
|
"\n",
|
|
"\n",
|
|
"def update(frame):\n",
|
|
"\n",
|
|
" ax[0].clear()\n",
|
|
" pointplot = ax[0].scatter(pointsets[keys[frame]][0], pointsets[keys[frame]][1], s=0.2)\n",
|
|
" ax[0].set(xlim=[0, 1], ylim=[0.0, 1.0])\n",
|
|
" ax[0].set_title(\"cutoff: \" + str(keys[frame]))\n",
|
|
"\n",
|
|
" maxx = max(pcfs[str(keys[frame])][0])\n",
|
|
" maxy = max(pcfs[str(keys[frame])][1])\n",
|
|
" \n",
|
|
" ax[1].set_xlim(-0.01, maxx)\n",
|
|
" ax[1].set_ylim(-0.01, maxy)\n",
|
|
" rdfplot.set_xdata(pcfs[str(keys[frame])][0])\n",
|
|
" rdfplot.set_ydata(pcfs[str(keys[frame])][1])\n",
|
|
"\n",
|
|
"anim = animation.FuncAnimation(fig=fig, func=update, frames=math.ceil(len(keys) / 20), interval=300)\n",
|
|
"anim.save(\"anmimation_cutoffs.mp4\", dpi=600, writer=\"ffmpeg\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "9130e7ed-06ba-40f9-afd5-0506022c4156",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.11.9"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|