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naturale0/DxOCrawler.py

Last active Nov 18, 2020
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Crawl DxOMark Mobile (smartphones camera benchmark) data: https://de-novo.org/2017/12/29/efa로-내게-맞는-스마트폰-카메라-찾기/
import re
import requests
import datetime as dt
from bs4 import BeautifulSoup
# Crawl DxOMark Mobile data
class DxOCrawler():
def __init__(self):
self.baseurl = "https://www.dxomark.com/category/mobile-reviews/page"
self.links = []
self.data = dict()
def get(self):
for i in range(1, 12):
page = requests.get(self.baseurl + str(i)).content
soup = BeautifulSoup(page)
divs = soup.div
self.links += re.findall('<a class="plain" href=.+"', str(divs))
self.links = [link[23:-1] for link in self.links]
for link in self.links:
#time.sleep(0.1)
article = requests.get(link).content
soup = BeautifulSoup(article)
try:
model = soup.find_all("div", attrs={"class": "scoreType photo"})[0].string
if model == "\n photo ": model = " ".join(soup.title.string.split()[:6])
print model
photo, video = soup.find_all("div", attrs={"class": "anychart"})
try:
photo = map(int, photo["data-array"].split(","))
video = map(int, video["data-array"].split(","))
except:
photo = photo["data-array"].split(",")
photo = map(int, photo[:-1]) + [photo[-1]]
video = map(int, video["data-array"].split(","))
self.data[model] = photo + video
print photo + video
except IndexError:
print link
if __name__ == "__main__":
crawler = DxOCrawler()
crawler.get()
with open("DxOMark_mobile_{}.txt".format(str(dt.datetime.today().date())), "w") as w:
for k, v in crawler.data.items():
v_tabbed = "\t".join(v)
w.write("{}\t{}\n".format(k, v_tabbed)
{
"cells": [
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import requests\n",
"import re\n",
"import time\n",
"import pandas as pd\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"import seaborn.apionly as sns\n",
"from bs4 import BeautifulSoup\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"class DxOCrawler():\n",
" def __init__(self):\n",
" self.baseurl = \"https://www.dxomark.com/category/mobile-reviews/page\"\n",
" self.links = []\n",
" self.data = dict()\n",
" \n",
" def get(self):\n",
" for i in range(1, 12):\n",
" page = requests.get(self.baseurl + str(i)).content\n",
" soup = BeautifulSoup(page)\n",
" divs = soup.div\n",
" self.links += re.findall('<a class=\"plain\" href=.+\"', str(divs))\n",
" self.links = [link[23:-1] for link in self.links]\n",
" \n",
" for link in self.links:\n",
" #time.sleep(0.1)\n",
" article = requests.get(link).content\n",
" soup = BeautifulSoup(article)\n",
"\n",
" try:\n",
" model = soup.find_all(\"div\", attrs={\"class\": \"scoreType photo\"})[0].string\n",
" if model == \"\\n photo \": model = \" \".join(soup.title.string.split()[:6])\n",
" print model\n",
"\n",
" photo, video = soup.find_all(\"div\", attrs={\"class\": \"anychart\"})\n",
" try:\n",
" photo = map(int, photo[\"data-array\"].split(\",\"))\n",
" video = map(int, video[\"data-array\"].split(\",\"))\n",
" except:\n",
" photo = photo[\"data-array\"].split(\",\")\n",
" photo = map(int, photo[:-1]) + [photo[-1]]\n",
" video = map(int, video[\"data-array\"].split(\",\"))\n",
"\n",
" self.data[model] = photo + video\n",
" print photo + video\n",
" except IndexError:\n",
" print link"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"https://www.dxomark.com/testing-new-dxomark-mobile-protocol-summary/\n",
"Xiaomi Mi Note 3\n",
"[86, 75, 89, 58, 73, 68, 69, 50, 50, 87, 72, 74, 43, 68, 79, 77]\n",
"Gionee S10L\n",
"[66, 79, 63, 50, 69, 60, 64, 22, 15, 56, 68, 14, 39, 77, 72, 40]\n",
"Meizu Pro 7 Plus\n",
"[74, 76, 73, 57, 71, 31, 75, 28, 30, 59, 78, 33, 41, 72, 77, 51]\n",
"Intex Aqua Selfie\n",
"[47, 57, 41, 32, 59, 41, 59, 22, 25, 71, 69, 36, 42, 57, 71, 38]\n",
"Lava Z25\n",
"[74, 72, 81, 48, 63, 59, 60, 24, 25, 69, 73, 33, 31, 78, 66, 43]\n",
"Micromax Canvas Infinity\n",
"[60, 59, 77, 46, 45, 38, 63, 19, 15, 70, 61, 35, 39, 60, 71, 38]\n",
"Apple iPhone X\n",
"[90, 79, 78, 65, 69, 82, 85, 58, 55, 81, 86, 84, 51, 66, 83, 91]\n",
"Huawei Mate 10 Pro\n",
"[88, 86, 96, 67, 71, 66, 84, 40, 50, 81, 85, 89, 48, 77, 87, 86]\n",
"Google Pixel 2\n",
"[95, 86, 98, 73, 59, 64, 88, 32, 45, 84, 83, 95, 57, 80, 86, 93]\n",
"Samsung Galaxy Note 8\n",
"[82, 73, 94, 65, 75, 68, 82, 66, 45, 80, 86, 65, 47, 73, 80, 81]\n",
"Apple iPhone 8 Plus\n",
"[89, 78, 74, 64, 68, 73, 84, 51, 55, 81, 87, 85, 50, 68, 80, 91]\n",
"Apple iPhone 8\n",
"[89, 77, 83, 65, 69, 83, 81, 31, 25, 81, 86, 87, 51, 70, 81, 90]\n",
"Sony Xperia XZ Premium\n",
"[83, 74, 88, 68, 58, 49, 74, 32, 20, 73, 79, 78, 47, 69, 80, 87]\n",
"https://www.dxomark.com/introducing-the-new-dxomark-mobile-test-protocol/\n",
"https://www.dxomark.com/analysis-comparing-original-updated-dxomark-mobile-test-protocols/\n",
"Apple iPhone 7 Plus\n",
"[85, 78, 75, 56, 62, 75, 68, 46, 50, 84, 81, 74, 54, 64, 78, 68, 35, 25]\n",
"Apple iPhone 7 Plus\n",
"[85, 78, 75, 56, 62, 75, 68, 46, 50, 74, 82, 79, 42, 60, 88, 89]\n",
"HTC U11\n",
"[86, 83, 90, 74, 62, 65, 79, 29, 20, 83, 68, 96, 52, 76, 81, 84]\n",
"Nokia 808 PureView\n",
"[59, 59, 40, 53, 60, 42, 70, 43, 25, 71, 49, 56, 41, 72, 80, 43]\n",
"Samsung Galaxy S6 Edge\n",
"[78, 75, 73, 57, 66, 65, 75, 39, 15, 85, 81, 77, 47, 70, 83, 66]\n",
"Google Pixel\n",
"[90, 80, 98, 70, 65, 50, 81, 24, 30, 83, 78, 94, 48, 75, 86, 89]\n",
"Apple iPhone 6\n",
"[74, 77, 69, 45, 52, 59, 64, 22, 25, 61, 84, 74, 48, 56, 86, 74]\n",
"Apple iPhone 7\n",
"[84, 81, 74, 54, 64, 78, 68, 35, 25, 73, 84, 83, 42, 58, 87, 90]\n",
"https://www.dxomark.com/2017-smartphone-cameras-as-good-never-before/\n",
"LG G6 Mobile review: Punchy pictures\n",
"[88, 84, 85, 87, 82, 80, 88, 88, 84, 77, 80, 81, 84, 84]\n",
"OnePlus 5 review: A serious shooter\n",
"[90, 84, 92, 89, 83, 86, 84, 86, 87, 89, 78, 81, 86, 87]\n",
"Meizu Pro 6s Mobile review: All\n",
"[88, 82, 91, 91, 87, 78, 85, 86, 79, 79, 82, 87, 80, 84]\n",
"HTC U11 Mobile review: The new\n",
"[90, 85, 95, 94, 89, 87, 88, 86, 86, 95, 87, 95, 87, 90]\n",
"Samsung Galaxy S8 mobile review: High\n",
"[89, 85, 93, 92, 92, 75, 87, 88, 86, 92, 83, 82, 87, 91]\n",
"Huawei P10 mobile review: Top performer\n",
"[87, 84, 92, 92, 87, 86, 85, 88, 83, 86, 86, 75, 80, 86]\n",
"Xiaomi Mi 5SPlus Mobile review: Mixed\n",
"[85, 80, 91, 67, 76, 85, 73, 80, 83, 79, 83, 81, 82, 42]\n",
"Nubia Z11 Mobile review: good in\n",
"[83, 76, 82, 83, 76, 82, 78, 84, 81, 73, 83, 80, 88, 25]\n",
"Sony Xperia XZ: Premium camera for\n",
"[86, 86, 95, 89, 87, 70, 85, 89, 87, 93, 85, 93, 75, 92]\n",
"LG V20 Mobile review: Dual camera\n",
"[87, 83, 85, 91, 88, 84, 81, 88, 83, 76, 81, 84, 84, 80]\n",
"Mate 9 camera review: A big\n",
"[88, 84, 90, 91, 88, 81, 81, 87, 84, 83, 84, 81, 79, 76]\n",
"TCL 950 Mobile review: Nice photos,\n",
"[85, 81, 91, 71, 82, 86, 78, 87, 86, 79, 79, 91, 82, 77]\n",
"Pixel smartphone camera review: At the\n",
"[90, 85, 93, 93, 89, 84, 88, 86, 86, 90, 84, 89, 88, 91]\n",
"Apple iPhone 7 camera review: better\n",
"[90, 84, 89, 83, 84, 96, 81, 85, 85, 88, 83, 79, 84, 86]\n",
"Meizu Pro 6 Mobile review -\n",
"[83, 73, 81, 82, 71, 82, 76, 77, 58, 72, 71, 89, 88, 22]\n",
"Qiku Q Terra Mobile review: Super\n",
"[81, 77, 82, 79, 68, 76, 75, 84, 77, 42, 80, 91, 66, 30]\n",
"Sony Xperia X Performance Mobile review:\n",
"[87, 86, 95, 89, 87, 80, 83, 85, 87, 94, 84, 96, 80, 91]\n",
"Moto Z Force Droid Mobile review\n",
"[89, 83, 91, 88, 88, 86, 79, 88, 83, 84, 84, 86, 89, 88]\n",
"Moto Z Droid Mobile review: Solid\n",
"[88, 83, 91, 79, 80, 78, 81, 87, 81, 77, 80, 85, 90, 86]\n",
"https://www.dxomark.com/huawei-p9-vs-p8-mobile-review-good-improvement-for-the-latest-device/\n",
"LG G5 Mobile review: Outstanding results\n",
"[90, 84, 94, 90, 86, 83, 86, 88, 83, 79, 82, 81, 83, 76]\n",
"Motorola Moto G Plus Mobile review:\n",
"[84, 85, 91, 85, 86, 85, 77, 84, 81, 75, 83, 85, 80, 81]\n",
"Xiaomi Mi 5 Mobile review: Better\n",
"[85, 80, 85, 83, 68, 81, 80, 78, 80, 78, 66, 78, 81, 67]\n",
"Nextbit Robin Mobile review: Nice results\n",
"[85, 82, 90, 86, 68, 82, 80, 81, 79, 81, 71, 82, 73, 75]\n",
"HTC 10 camera overview: A great\n",
"[89, 84, 93, 93, 87, 89, 83, 88, 86, 82, 85, 87, 90, 83]\n",
"Samsung Galaxy S7 edge Mobile Review:\n",
"[90, 83, 94, 91, 89, 79, 86, 89, 86, 92, 84, 94, 85, 90]\n",
"Sony Xperia M5 Mobile review: Solid\n",
"[86, 73, 80, 90, 86, 70, 80, 79, 80, 79, 61, 79, 85, 56]\n",
"OnePlus 2 Mobile Review: Excellent for\n",
"[83, 77, 73, 83, 82, 81, 90, 79, 71, 51, 80, 74, 70, 56]\n",
"HTC One A9 Review – HTC\n",
"[80, 78, 84, 84, 78, 74, 81, 79, 82, 60, 66, 91, 83, 60]\n",
"BlackBerry Priv Mobile Review: Mobile photography\n",
"[92, 81, 84, 80, 78, 70, 83, 85, 80, 85, 87, 97, 81, 63]\n",
"Samsung Galaxy S6 Edge Plus Mobile\n",
"[90, 86, 92, 90, 86, 76, 86, 87, 83, 88, 83, 89, 89, 75]\n",
"Samsung Galaxy Note V Mobile review:\n",
"[90, 86, 88, 90, 86, 76, 87, 87, 83, 86, 84, 89, 89, 76]\n",
"Apple iPhone 6s Plus review: Best\n",
"[90, 83, 91, 78, 80, 86, 83, 81, 85, 88, 82, 79, 80, 77]\n",
"Motorola Droid Turbo 2 Mobile review:\n",
"[89, 84, 92, 79, 78, 82, 80, 91, 86, 76, 88, 76, 91, 78]\n",
"Apple iPhone 6s review: Solid and\n",
"[90, 85, 92, 73, 73, 85, 84, 80, 86, 87, 82, 76, 85, 60]\n",
"Sony Xperia Z5 Mobile review: Best\n",
"[87, 87, 95, 89, 85, 76, 91, 85, 87, 91, 84, 87, 75, 93]\n",
"Google Nexus 6P review: Serious contender\n",
"[88, 82, 88, 93, 88, 77, 80, 87, 83, 76, 83, 88, 88, 55]\n",
"LG G4 Mobile review: A new\n",
"[86, 80, 94, 90, 84, 76, 81, 89, 76, 76, 84, 92, 80, 65]\n",
"Moto X Style Mobile review: Style\n",
"[90, 83, 89, 78, 77, 84, 76, 90, 85, 75, 87, 76, 87, 79]\n",
"Sony Xperia Z3+ review: Improved rankings\n",
"[89, 80, 83, 86, 86, 77, 85, 88, 85, 65, 81, 90, 78, 70]\n",
"HTC One M9 Review: M8's successor\n",
"[81, 67, 72, 74, 76, 71, 60, 75, 69, 55, 47, 80, 76, 26]\n",
"Samsung Galaxy S6 Edge review: Top-ranking\n",
"[90, 85, 94, 90, 84, 79, 87, 89, 84, 90, 89, 96, 89, 59]\n",
"Samsung Galaxy Note 4 review: Hitting\n",
"[89, 79, 86, 88, 75, 87, 85, 92, 71, 91, 88, 97, 89, 60]\n",
"Google Nexus 6: Google's latest handset\n",
"[85, 80, 83, 76, 76, 82, 85, 84, 82, 50, 82, 84, 93, 52]\n",
"Amazon Firephone: Amazon enters the Smartphone\n",
"[83, 73, 52, 67, 69, 71, 61, 80, 76, 58, 78, 81, 73, 63]\n",
"https://www.dxomark.com/apple-iphone-6-and-6-plus-overview-bigger-better/\n",
"https://www.dxomark.com/apple-iphone-6-and-6-plus-review-bigger-and-better-apple-set-gold-standard-for-smartphone-image-quality/\n",
"Sony Xperia Z3: New Sony flagship\n",
"[89, 75, 86, 75, 84, 72, 83, 93, 76, 55, 82, 85, 74, 72]\n",
"HTC One M8: 4.1Mp sensor ranks\n",
"[70, 72, 77, 73, 55, 76, 71, 75, 72, 51, 88, 86, 85, 10]\n",
"Samsung Galaxy S5 overview: Joint leader\n",
"[88, 82, 69, 78, 78, 83, 82, 87, 84, 76, 83, 87, 87, 55]\n",
"Sony Xperia Z2 overview: Revised model\n",
"[88, 74, 84, 83, 84, 68, 85, 95, 79, 52, 81, 81, 68, 66]\n",
"LG G2 overview: Ambitious challenger -\n",
"[80, 76, 74, 69, 83, 89, 72, 84, 69, 46, 66, 80, 68, 46]\n",
"Nokia Lumia 925 overview: Lower pixel\n",
"[88, 66, 72, 61, 84, 83, 72, 79, 76, 62, 78, 59, 68, 60]\n",
"Sony Xperia Z1 overview: Serious challenger\n",
"[85, 77, 73, 66, 84, 74, 84, 92, 85, 60, 64, 85, 75, 59]\n",
"Nokia Lumia 1020 overview: Has the\n",
"[80, 56, 84, 88, 91, 70, 79, 91, 73, 45, 73, 53, 61, 49]\n",
"Apple iPhone 5s overview: the Cupertino\n",
"[90, 82, 81, 59, 70, 91, 83, 78, 90, 47, 82, 75, 80, 57]\n",
"https://www.dxomark.com/sony-xperia-z-chasseur-d-images-review/\n",
"https://www.dxomark.com/samsung-galaxy-s4-chasseur-d-images-review/\n",
"https://www.dxomark.com/gopro-hero3-black-edition-super-hero/\n",
"Samsung Galaxy S4 overview: Does bigger\n",
"[85, 80, 80, 76, 74, 71, 82, 88, 91, 52, 78, 66, 71, 35]\n",
"Sony Xperia Z: A new contender\n",
"[79, 72, 47, 39, 56, 90, 64, 93, 80, 48, 60, 70, 63, 17]\n",
"BlackBerry Z10 overview - DxOMark\n",
"[81, 73, 70, 72, 39, 77, 62, 87, 76, 64, 64, 67, 85, 18]\n",
"Nokia Lumia 920 - DxOMark\n",
"[88, 63, 33, 35, 88, 85, 71, 82, 81, 43, 66, 72, 80, 66]\n",
"HTC 8X - DxOMark\n",
"[70, 81, 56, 74, 49, 70, 60, 88, 76, 69, 83, 78, 80, 11]\n",
"Samsung Galaxy Note II - DxOMark\n",
"[81, 77, 74, 64, 69, 78, 70, 87, 83, 58, 66, 61, 90, 45]\n",
"Apple iPhone 5 - DxOMark\n",
"[88, 80, 72, 67, 60, 81, 70, 81, 92, 49, 78, 47, 82, 54]\n",
"Samsung Galaxy S III - DxOMark\n",
"[75, 76, 81, 63, 64, 77, 81, 88, 83, 61, 59, 59, 85, 48]\n",
"Nokia 808 PureView - DxOMark\n",
"[78, 80, 73, 84, 88, 89, 81, 81, 88, 40, 78, 59, 92, 39]\n",
"Apple iPhone 4S - DxOMark\n",
"[88, 84, 63, 73, 51, 95, 70, 91, 93, 47, 84, 44, 83, 28]\n",
"Apple New iPad - DxOMark\n",
"[80, 73, 46, 49, 60, 82, 'NA', 80, 82, 50, 53, 44, 81, 28]\n",
"Samsung Galaxy S II - DxOMark\n",
"[75, 54, 46, 55, 59, 81, 71, 71, 63, 39, 44, 47, 73, 9]\n",
"Apple iPhone 4 - DxOMark\n",
"[55, 51, 39, 61, 28, 68, 62, 72, 50, 48, 38, 56, 72, 11]\n",
"https://www.dxomark.com/smartphones-beat-5-year-old-dscs/\n"
]
}
],
"source": [
"dd = DxOCrawler()\n",
"dd.get()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* save data"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"with open(\"DxOMark_data.txt\", \"w\") as w:\n",
" w.write(str(data))"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"df_new_orig = pd.DataFrame(new).T.iloc[:, :7]\n",
"df_old_orig = pd.DataFrame(old).T.iloc[:, :7]\n",
"df_old_orig.index = ['Amazon Firephone', 'Apple New iPad', u'Apple iPhone 4', 'Apple iPhone 4S', u'Apple iPhone 5',\n",
"'Apple iPhone 5s', 'Apple iPhone 6s Plus', 'Apple iPhone 6s', 'Apple iPhone 7', 'BlackBerry Priv', 'BlackBerry Z10',\n",
"'Google Nexus 6', 'Google Nexus 6', 'HTC 10', u'HTC 8X', 'HTC One A9', u'HTC One M8', 'HTC One M9', u'HTC U11',\n",
"'Huawei P10', 'LG G2', 'LG G4', 'LG G5', 'LG G6', 'LG V20', 'Mate 9', 'Meizu Pro 6', 'Meizu Pro 6s',\n",
"'Moto X Style', 'Moto Z Droid', 'Moto Z Force Droid', 'Motorola Droid Turbo 2', 'Motorola Moto G Plus', 'Nextbit Robin',\n",
"'Nokia 808', 'Nokia Lumia 1020', 'Nokia Lumia 920', 'Nokia Lumia 925', 'Nubia Z11', 'OnePlus 2', 'OnePlus 5',\n",
"'Pixel', 'Qiku Q Terra', 'Samsung Galaxy Note 4', 'Samsung Galaxy Note II', 'Samsung Galaxy Note V', 'Samsung Galaxy S II',\n",
"'Samsung Galaxy S III', 'Samsung Galaxy S4', 'Samsung Galaxy S5', 'Samsung Galaxy S6 Edge Plus', 'Samsung Galaxy S6 Edge',\n",
"'Samsung Galaxy S7 edge', 'Samsung Galaxy S8', 'Sony Xperia M5', 'Sony Xperia X Performance', 'Sony Xperia XZ',\n",
"'Sony Xperia Z1', 'Sony Xperia Z2', 'Sony Xperia Z3+', 'Sony Xperia Z3', 'Sony Xperia Z5', 'Sony Xperia Z',\n",
"'TCL 950', 'Xiaomi Mi 5', 'Xiaomi Mi 5SPlus']\n",
"df_new_orig.columns = columns_old\n",
"df_old_orig.columns = columns_old\n",
"\n",
"df_new_full = pd.DataFrame(new).T.iloc[:, :9]\n",
"df_new_full.columns = columns_new\n",
"\n",
"pd.concat([df_new_orig, df_old_orig]).to_csv(\"full_data.txt\", sep=\"\\t\")\n",
"df_new_full.to_csv(\"new_data.txt\", sep=\"\\t\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"brands = [0,0,0,0,0,0,18,1,1,2,3,19,20,10,21,4,5,5,6,17]"
]
},
{
"cell_type": "code",
"execution_count": 171,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"\"\"\"\n",
"Apple: 0 google: 1 HTC: 2\n",
"huawei: 3 nokia: 4 samsung: 5\n",
"sony: 6 amazon: 7 blackberry: 8\n",
"lg: 9 meizu: 10 moto: 11\n",
"nextbit: 12 nubia: 13 oneplus: 14\n",
"qiku: 15 tcl: 16 xiaomi: 17\n",
"Gionee: 18 Intex: 19 Lava: 20\n",
"Micromax: 21\n",
"\"\"\"\n",
"\n",
"brands_full = [0,0,0,0,0,0,18,1,1,2,3,19,20,10,21,4,5,5,6,17,7,0,0,0,0,0,0,0,8,8,1,2,2,2,2,2,3,9,9,9,9,9,3,\n",
" 10,10,11,11,11,11,11,12,4,4,4,4,13,14,14,15,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,\n",
" 6,6,6,6,16,17,17]\n",
"brands_old = [7,0,0,0,0,0,0,0,8,8,1,2,2,2,2,2,3,9,9,9,9,9,3,\n",
" 10,10,11,11,11,11,11,12,4,4,4,4,13,14,14,15,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,\n",
" 6,6,6,6,16,17,17]"
]
},
{
"cell_type": "code",
"execution_count": 236,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"colors_ = [\"dodgerblue\", \"gold\", \"limegreen\", \"seagreen\", \"darksalmon\",\n",
" \"gray\", \"lavender\", \"pink\", \"m\", \"crimson\",\n",
" \"cyan\", \"forestgreen\", \"lightsalmon\", \"turquoise\", \"palegoldenrod\",\n",
" \"red\", \"lightskyblue\", \"orange\"]\n",
"cm_ = mpl.colors.ListedColormap(colors_)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"columns_new = [\"exposure&contrast\", \"color\", \"AF\", \"texture\", \"noise\", \"artifacts\", \"flash\", \"zoom\", \"bokeh\"]\n",
"columns_old = columns_new[:-2]"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"new = {t:i for t, i in dd.data.items() if len(i) == 16}\n",
"old = {t:i for t, i in dd.data.items() if len(i) == 14}"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>exposure&amp;contrast</th>\n",
" <th>color</th>\n",
" <th>AF</th>\n",
" <th>texture</th>\n",
" <th>noise</th>\n",
" <th>artifacts</th>\n",
" <th>flash</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>Apple iPhone 6</th>\n",
" <td>74</td>\n",
" <td>77</td>\n",
" <td>69</td>\n",
" <td>45</td>\n",
" <td>52</td>\n",
" <td>59</td>\n",
" <td>64</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Apple iPhone 7</th>\n",
" <td>84</td>\n",
" <td>81</td>\n",
" <td>74</td>\n",
" <td>54</td>\n",
" <td>64</td>\n",
" <td>78</td>\n",
" <td>68</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Apple iPhone 7 Plus</th>\n",
" <td>85</td>\n",
" <td>78</td>\n",
" <td>75</td>\n",
" <td>56</td>\n",
" <td>62</td>\n",
" <td>75</td>\n",
" <td>68</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Apple iPhone 8</th>\n",
" <td>89</td>\n",
" <td>77</td>\n",
" <td>83</td>\n",
" <td>65</td>\n",
" <td>69</td>\n",
" <td>83</td>\n",
" <td>81</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Apple iPhone 8 Plus</th>\n",
" <td>89</td>\n",
" <td>78</td>\n",
" <td>74</td>\n",
" <td>64</td>\n",
" <td>68</td>\n",
" <td>73</td>\n",
" <td>84</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" exposure&contrast color AF texture noise artifacts \\\n",
"Apple iPhone 6 74 77 69 45 52 59 \n",
"Apple iPhone 7 84 81 74 54 64 78 \n",
"Apple iPhone 7 Plus 85 78 75 56 62 75 \n",
"Apple iPhone 8 89 77 83 65 69 83 \n",
"Apple iPhone 8 Plus 89 78 74 64 68 73 \n",
"\n",
" flash \n",
"Apple iPhone 6 64 \n",
"Apple iPhone 7 68 \n",
"Apple iPhone 7 Plus 68 \n",
"Apple iPhone 8 81 \n",
"Apple iPhone 8 Plus 84 "
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_new = pd.DataFrame(new).T.iloc[:, :7]\n",
"#df_new = df_new.divide(df_new.sum(axis=1), 0)\n",
"df_new.columns = columns_old\n",
"df_new.round(2).head()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>exposure&amp;contrast</th>\n",
" <th>color</th>\n",
" <th>AF</th>\n",
" <th>texture</th>\n",
" <th>noise</th>\n",
" <th>artifacts</th>\n",
" <th>flash</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>Amazon Firephone</th>\n",
" <td>83</td>\n",
" <td>73</td>\n",
" <td>52</td>\n",
" <td>67</td>\n",
" <td>69</td>\n",
" <td>71</td>\n",
" <td>61</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Apple New iPad</th>\n",
" <td>80</td>\n",
" <td>73</td>\n",
" <td>46</td>\n",
" <td>49</td>\n",
" <td>60</td>\n",
" <td>82</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Apple iPhone 4</th>\n",
" <td>55</td>\n",
" <td>51</td>\n",
" <td>39</td>\n",
" <td>61</td>\n",
" <td>28</td>\n",
" <td>68</td>\n",
" <td>62</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Apple iPhone 4S</th>\n",
" <td>88</td>\n",
" <td>84</td>\n",
" <td>63</td>\n",
" <td>73</td>\n",
" <td>51</td>\n",
" <td>95</td>\n",
" <td>70</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Apple iPhone 5</th>\n",
" <td>88</td>\n",
" <td>80</td>\n",
" <td>72</td>\n",
" <td>67</td>\n",
" <td>60</td>\n",
" <td>81</td>\n",
" <td>70</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" exposure&contrast color AF texture noise artifacts \\\n",
"Amazon Firephone 83 73 52 67 69 71 \n",
"Apple New iPad 80 73 46 49 60 82 \n",
"Apple iPhone 4 55 51 39 61 28 68 \n",
"Apple iPhone 4S 88 84 63 73 51 95 \n",
"Apple iPhone 5 88 80 72 67 60 81 \n",
"\n",
" flash \n",
"Amazon Firephone 61 \n",
"Apple New iPad 0 \n",
"Apple iPhone 4 62 \n",
"Apple iPhone 4S 70 \n",
"Apple iPhone 5 70 "
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_old = pd.DataFrame(old).T.iloc[:, :7].replace(\"NA\", 0)\n",
"#df_old = df_old.divide(df_old.sum(axis=1), 0)\n",
"df_old.columns = columns_old\n",
"df_old.index = ['Amazon Firephone', 'Apple New iPad', u'Apple iPhone 4', 'Apple iPhone 4S', u'Apple iPhone 5',\n",
"'Apple iPhone 5s', 'Apple iPhone 6s Plus', 'Apple iPhone 6s', 'Apple iPhone 7', 'BlackBerry Priv', 'BlackBerry Z10',\n",
"'Google Nexus 6', 'Google Nexus 6', 'HTC 10', u'HTC 8X', 'HTC One A9', u'HTC One M8', 'HTC One M9', u'HTC U11',\n",
"'Huawei P10', 'LG G2', 'LG G4', 'LG G5', 'LG G6', 'LG V20', 'Mate 9', 'Meizu Pro 6', 'Meizu Pro 6s',\n",
"'Moto X Style', 'Moto Z Droid', 'Moto Z Force Droid', 'Motorola Droid Turbo 2', 'Motorola Moto G Plus', 'Nextbit Robin',\n",
"'Nokia 808', 'Nokia Lumia 1020', 'Nokia Lumia 920', 'Nokia Lumia 925', 'Nubia Z11', 'OnePlus 2', 'OnePlus 5',\n",
"'Pixel', 'Qiku Q Terra', 'Samsung Galaxy Note 4', 'Samsung Galaxy Note II', 'Samsung Galaxy Note V', 'Samsung Galaxy S II',\n",
"'Samsung Galaxy S III', 'Samsung Galaxy S4', 'Samsung Galaxy S5', 'Samsung Galaxy S6 Edge Plus', 'Samsung Galaxy S6 Edge',\n",
"'Samsung Galaxy S7 edge', 'Samsung Galaxy S8', 'Sony Xperia M5', 'Sony Xperia X Performance', 'Sony Xperia XZ',\n",
"'Sony Xperia Z1', 'Sony Xperia Z2', 'Sony Xperia Z3+', 'Sony Xperia Z3', 'Sony Xperia Z5', 'Sony Xperia Z',\n",
"'TCL 950', 'Xiaomi Mi 5', 'Xiaomi Mi 5SPlus']\n",
"\n",
"df_old.round(2).head()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [],
"source": [
"df_old.drop(\"Pixel\", inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(81, 7)"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_full = pd.concat([df_new, df_old])\n",
"df_full = df_full[~df_full.index.duplicated(keep='first')]\n",
"df_full.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# PCA"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## New data only"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from sklearn.decomposition import PCA\n",
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"scaler = StandardScaler()\n",
"\n",
"pca = PCA()\n",
"df_new_pca = pca.fit_transform(scaler.fit_transform(df_new))"
]
},
{
"cell_type": "code",
"execution_count": 139,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>0</th>\n",
" <th>1</th>\n",
" <th>2</th>\n",
" <th>3</th>\n",
" <th>4</th>\n",
" <th>5</th>\n",
" <th>6</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>-0.404642</td>\n",
" <td>0.225423</td>\n",
" <td>-0.550887</td>\n",
" <td>-1.276781</td>\n",
" <td>-1.686965</td>\n",
" <td>-0.124491</td>\n",
" <td>-1.093155</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.412816</td>\n",
" <td>0.726363</td>\n",
" <td>-0.234285</td>\n",
" <td>-0.416030</td>\n",
" <td>0.000000</td>\n",
" <td>1.189578</td>\n",
" <td>-0.640034</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.494562</td>\n",
" <td>0.350658</td>\n",
" <td>-0.170965</td>\n",
" <td>-0.224752</td>\n",
" <td>-0.281161</td>\n",
" <td>0.982094</td>\n",
" <td>-0.640034</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.821545</td>\n",
" <td>0.225423</td>\n",
" <td>0.335598</td>\n",
" <td>0.636000</td>\n",
" <td>0.702902</td>\n",
" <td>1.535386</td>\n",
" <td>0.832611</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.821545</td>\n",
" <td>0.350658</td>\n",
" <td>-0.234285</td>\n",
" <td>0.540361</td>\n",
" <td>0.562322</td>\n",
" <td>0.843771</td>\n",
" <td>1.172452</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>0.903291</td>\n",
" <td>0.475893</td>\n",
" <td>0.018996</td>\n",
" <td>0.636000</td>\n",
" <td>0.702902</td>\n",
" <td>1.466224</td>\n",
" <td>1.285732</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>-1.058608</td>\n",
" <td>0.475893</td>\n",
" <td>-0.930809</td>\n",
" <td>-0.798586</td>\n",
" <td>0.702902</td>\n",
" <td>-0.055329</td>\n",
" <td>-1.093155</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>0.903291</td>\n",
" <td>0.601128</td>\n",
" <td>1.285402</td>\n",
" <td>1.114195</td>\n",
" <td>0.140580</td>\n",
" <td>-0.746944</td>\n",
" <td>0.832611</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>1.312020</td>\n",
" <td>1.352538</td>\n",
" <td>1.285402</td>\n",
" <td>1.401112</td>\n",
" <td>-0.702902</td>\n",
" <td>0.221317</td>\n",
" <td>1.625573</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>0.576308</td>\n",
" <td>0.976833</td>\n",
" <td>0.778840</td>\n",
" <td>1.496751</td>\n",
" <td>-0.281161</td>\n",
" <td>0.290478</td>\n",
" <td>0.606050</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10</th>\n",
" <td>0.739799</td>\n",
" <td>1.352538</td>\n",
" <td>1.158762</td>\n",
" <td>0.827278</td>\n",
" <td>0.984063</td>\n",
" <td>0.359640</td>\n",
" <td>1.172452</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11</th>\n",
" <td>-2.611777</td>\n",
" <td>-2.279278</td>\n",
" <td>-2.323856</td>\n",
" <td>-2.520089</td>\n",
" <td>-0.702902</td>\n",
" <td>-1.369398</td>\n",
" <td>-1.659557</td>\n",
" </tr>\n",
" <tr>\n",
" <th>12</th>\n",
" <td>-0.404642</td>\n",
" <td>-0.400752</td>\n",
" <td>0.208957</td>\n",
" <td>-0.989864</td>\n",
" <td>-0.140580</td>\n",
" <td>-0.124491</td>\n",
" <td>-1.546277</td>\n",
" </tr>\n",
" <tr>\n",
" <th>13</th>\n",
" <td>-0.404642</td>\n",
" <td>0.100188</td>\n",
" <td>-0.297605</td>\n",
" <td>-0.129113</td>\n",
" <td>0.984063</td>\n",
" <td>-2.061013</td>\n",
" <td>0.152928</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14</th>\n",
" <td>-1.549082</td>\n",
" <td>-2.028808</td>\n",
" <td>-0.044324</td>\n",
" <td>-1.181142</td>\n",
" <td>-2.671027</td>\n",
" <td>-1.576883</td>\n",
" <td>-1.206436</td>\n",
" </tr>\n",
" <tr>\n",
" <th>15</th>\n",
" <td>-1.630828</td>\n",
" <td>-2.028808</td>\n",
" <td>-2.387176</td>\n",
" <td>-0.511669</td>\n",
" <td>-0.562322</td>\n",
" <td>-1.300237</td>\n",
" <td>-0.413473</td>\n",
" </tr>\n",
" <tr>\n",
" <th>16</th>\n",
" <td>0.249325</td>\n",
" <td>-0.275517</td>\n",
" <td>1.032121</td>\n",
" <td>0.636000</td>\n",
" <td>1.546384</td>\n",
" <td>0.497963</td>\n",
" <td>0.945891</td>\n",
" </tr>\n",
" <tr>\n",
" <th>17</th>\n",
" <td>-0.077658</td>\n",
" <td>-0.025047</td>\n",
" <td>-0.297605</td>\n",
" <td>-0.129113</td>\n",
" <td>0.281161</td>\n",
" <td>0.290478</td>\n",
" <td>0.152928</td>\n",
" </tr>\n",
" <tr>\n",
" <th>18</th>\n",
" <td>0.331070</td>\n",
" <td>-0.150282</td>\n",
" <td>0.652199</td>\n",
" <td>0.922917</td>\n",
" <td>-0.843482</td>\n",
" <td>-0.816106</td>\n",
" <td>0.039648</td>\n",
" </tr>\n",
" <tr>\n",
" <th>19</th>\n",
" <td>0.576308</td>\n",
" <td>-0.025047</td>\n",
" <td>0.715520</td>\n",
" <td>-0.033474</td>\n",
" <td>1.265224</td>\n",
" <td>0.497963</td>\n",
" <td>-0.526754</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" 0 1 2 3 4 5 6\n",
"0 -0.404642 0.225423 -0.550887 -1.276781 -1.686965 -0.124491 -1.093155\n",
"1 0.412816 0.726363 -0.234285 -0.416030 0.000000 1.189578 -0.640034\n",
"2 0.494562 0.350658 -0.170965 -0.224752 -0.281161 0.982094 -0.640034\n",
"3 0.821545 0.225423 0.335598 0.636000 0.702902 1.535386 0.832611\n",
"4 0.821545 0.350658 -0.234285 0.540361 0.562322 0.843771 1.172452\n",
"5 0.903291 0.475893 0.018996 0.636000 0.702902 1.466224 1.285732\n",
"6 -1.058608 0.475893 -0.930809 -0.798586 0.702902 -0.055329 -1.093155\n",
"7 0.903291 0.601128 1.285402 1.114195 0.140580 -0.746944 0.832611\n",
"8 1.312020 1.352538 1.285402 1.401112 -0.702902 0.221317 1.625573\n",
"9 0.576308 0.976833 0.778840 1.496751 -0.281161 0.290478 0.606050\n",
"10 0.739799 1.352538 1.158762 0.827278 0.984063 0.359640 1.172452\n",
"11 -2.611777 -2.279278 -2.323856 -2.520089 -0.702902 -1.369398 -1.659557\n",
"12 -0.404642 -0.400752 0.208957 -0.989864 -0.140580 -0.124491 -1.546277\n",
"13 -0.404642 0.100188 -0.297605 -0.129113 0.984063 -2.061013 0.152928\n",
"14 -1.549082 -2.028808 -0.044324 -1.181142 -2.671027 -1.576883 -1.206436\n",
"15 -1.630828 -2.028808 -2.387176 -0.511669 -0.562322 -1.300237 -0.413473\n",
"16 0.249325 -0.275517 1.032121 0.636000 1.546384 0.497963 0.945891\n",
"17 -0.077658 -0.025047 -0.297605 -0.129113 0.281161 0.290478 0.152928\n",
"18 0.331070 -0.150282 0.652199 0.922917 -0.843482 -0.816106 0.039648\n",
"19 0.576308 -0.025047 0.715520 -0.033474 1.265224 0.497963 -0.526754"
]
},
"execution_count": 139,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.DataFrame(scaler.fit_transform(df_new))"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x11102b890>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(pca.explained_variance_, \"o-\");"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"df_new_pca = pd.DataFrame(df_new_pca)\n",
"df_new_pca.index = df_new.index"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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wbdo0WrduzQcffMDrr79O06ZNsSyrxnI1h8PBuHHjWLt2LR06dKB///60atUKgKSkJIKC\ngsjJyeHKlSuMGjWKHj164PV62bhxI1lZWXg8HgYOHEhiYiJZWVl8//33hIWFceHCBd555x3effdd\nfv/731NRUcGyZcsoLy/H4/EwYsQIevbsed3rf/DBB9m9ezc//fQTaWlpvoLlWvn5+WzatInXX3+9\n3mIlNjaW3NxcioqKWLx4MR07diQnJ4eXXnqJ/Px8UlNT8Xg8tGrVikmTJhESEsL7779Pnz59OHr0\nKA6Hg2effZaNGzdSUFDAY489RmJiIkVFRSxdupS5c+eyZ88ecnJyGDt2LABLly5lyJAhdO7cmXff\nfZfExESOHDlC8+bNeeqpp9iwYQPFxcWMHj2a+Pj4W/+QiMg9QXN0RPzo2rUrFy9e5IMPPmDt2rVk\nZWUBUFlZSVJSEs8//zxz587F6/WSlpbG/v37OXfuHOHh4bzxxhsMHDiQrVu3YowhISGB9PR0oKpI\nio6OrlHkVOvUqRORkZEcP36cxx57rMa2oqIiZs2axfTp00lOTqayspJffvmF0NBQZs+ezaxZs9i9\nezeFhYUAnD17ltGjR/POO+/UaCcoKIgXXniBN954gxkzZrB+/Xpfz0ptY8aMYcOGDTzxxBOEhYXV\n2ObxePjyyy8ZOXIkLVu2vOF76fV6OXLkCG3atAGgoKCAgQMH8tZbbxESEsLmzZt55ZVXeOONN2jf\nvj3btm3zHduyZUvmzJlDTEwMSUlJTJs2jZkzZ5KamnrDc9ZWUVFBXFyc75zff/89L7/8Mn/3d393\ny22JyL1FPTo3qbS0lG+//ZbTp08TGhqK0+nkscceq9GNHwjvv/8+s2fPrtGDcCMul4uSkhKCgoII\nCQlh4sSJREZGsnr1ah599FGioqICksHtdrNixQoKCwsxxhAfH8/TTz99y203dNnnSsjNv0SLpiHM\nmjWL7OxsTpw4wcqVK3n66adp27YtrVq1onXr1gA89NBD7Ny5k1deeYWCggLf56Fdu3YcPHgQgP79\n+7N8+XIGDx7ML7/8Qv/+/f2eu6KigpycHDweD2VlZbRo0cK37cEHH8QYQ+vWrWnVqhUXLlzg2LFj\n5ObmcuDAAQDKy8spKCjA6XTSoUMHX4/QtSzL4rvvvuPkyZMYY7h48SKXLl2iWbNm1+179OhRmjdv\nTl5e3nXbUlNTiYqKuuFDTN1uNwsWLAAgJiaGAQMGUFJSQsuWLX3DYKdPn+b8+fN89tlnQFUBde08\nqOqelujoaCoqKmjSpAlNmjQhKCiI8vLyOs9dm9Pp9A2vRUdH43Q6cTqdREdHU1RUdNPtiMi9R4XO\nTbAsi+XLl9OvXz+mTJkCVP2FnZmZaXOyKlOmTKF9+/bs2rWLDRs28OKLLzJhwoSAn2fIkCHExcXh\n8Xj44osvOHLkyHUTUO9lO9LPsn3vWbyWhdNhiGnXggnDu9K5c2eio6PZs2cPbdu2vWEb1UNdDocD\nr9cLVPVKNG3alBMnTnDmzBmee+45v8empqaSkJBAs2bNSElJqXfuiWVZjBkz5rr5MVlZWYSEhPg9\nJj09nUuXLjF79mycTifvv/8+lZWV1+1XUlLCzz//zKxZs3C5XAwYMIDo6Ghf+wcOHOCNN964Yb5r\n5+hc69pslmXRpUsXpk6d6reN6vfTGOP7unq5+v2t5nA4avROXfu6nE6nb3jt2rb8tSMijYsKnZtw\n4sQJnE4niYmJvnUREREMGjQIqPqBmpycTE5ODg6Hg1GjRhEXF1fnerfbTVJSEnl5ebRu3ZqSkhLG\njRtH+/bta5x33759/Pzzz3g8Ht9cEIej7tHG2NhYtm/fDlT19IwcOZLw8HAWLVrEzJkzCQsL4/PP\nP+fJJ5+ka9eut9R+cHAwcXFxQNUvjXbt2nHx4sVf9b42JG63h617cvB6q35RXiwu5FJJEYl9ounQ\npjnnzp0jIiKCyMhIioqKKCgo4IEHHmDfvn3Exsayc+dOTp06VWf7AwYM4KuvviIhIcHve5ybm8uR\nI0eYM2cOTqeT3bt3c+zYMbp27QrAgQMH6NevH4WFhRQWFhIZGUm3bt1IS0sjLi4Op9NJfn4+zZs3\nv+HrLC8vp2nTpjidTk6cOFFnb0ZKSgqPP/44LVq0YNSoUaxdu5bf/OY3lJeXk5SUxJQpU2jSpMnN\nvr116tixI+vWrfO9nxUVFZSUlPh6zG5FREQEO3fuxLIsLl68yJkzZ351PhG596nQuQnnz5+nXbt2\ndW7fsWMHxhjmzp3LhQsXWLx4Me+8806d63fu3EloaChvvfUWeXl5vu792ufMyMjgtddew+l0snbt\nWtLT03nooYfqzJGZmembB1EtIiKCoUOHkpycTIcOHYiKiqJr16631X618vJyDh8+zODBg+vd915x\nxe3h2vm0nko36fu2sfD8LqIjm/HAAw/w7LPPEhQUxMSJE1mxYoVvMnJiYiJ//etfOX/+fJ3tx8fH\ns2rVKr/DVpZlsXbtWkaNGuXraRg/fjxff/21r0ekZcuWLFy4kCtXrjB+/HiCgoIYMGAARUVFfPTR\nR0DVhOkXXnjhhq8zISGBpUuXMm/ePNq3b09kZOR1+xw7dozi4mJf1vj4eHbv3s3evXspKSnh0qVL\nrF27tsYxQ4cOveEwVl2aNm3KpEmTWLlype+qthEjRtxWodOpUyciIiL48MMPiYyMvOH3rIjcP0xd\nExHvVYmJiVZaWlpA2rIsi8KKMn7ZmYa79DKjR48GYO3atZw6dQqn08ns2bNZvnw5gwYN8vV4fPbZ\nZ4wbN47U1NSbWv/RRx/x7LPP0r59e9/8mIyMDH788UffpFW3203fvn0ZNmxYjYzVc3SCg4OJiIhg\nzJgxtGzZ0tejU91LtHjxYgoKCpgzZw5NmjRhx44ddbZ/o3lCXq+XpUuX0q1bt0ZV6FiWxWdfpXPx\nUgXV3xLBQQ5+M7kPzcL9DwPdipycHFJSUnjttddu+dikpCR69OhB7969f3UOEWmcjDG7LMtKrH/P\n+496dOpwubKC99O/50xZMUU553AeOcczo0biNFWXAZeVlfHxxx/fsfNblsVDDz10UxN+q+fo1MXt\ndvuGmaondN5K+9das2YNrVu3blRFDlTN1Zg6Kp7VqUfJL7xMeFgw457oEpAiZ8uWLezcudM3v0tE\nRO4eWy8vN8Z8ZozJM8Zk1LF9mDGm2Biz5+p//8/dyrb8WBqnLxXh9noIbxtJ9sV85q9d6dvudrt9\nX8fGxrJv3z6g6t4ixcXFtG7dus71nTp1Yv/+/UDVEFVubu515+/SpQsHDhzg0qVLAFy+fPm2rw7Z\nsGEDCQkJDB8+nDVr1tx2+99//z3l5eW+nq3GpmWzJrz87IP87pVEZj//EB2ibzzf5Vrbt2/3zY+q\nbejQofzDP/wDMTExt5Vr0qRJ6s0REblNdvfouIC/AItusM+PlmWNvztx/uZEST6VVtXVGMYYYkcM\nYu+BQ7z//vs0bdqU4OBgX2/IwIEDSU5OZt68eTgcDiZNmkRQUNAN1yclJfnmErRp0+a6iZ1RUVGM\nGDGCxYsXY1mW74ZyERERt/Q6srKyyMnJ4bXXXsPhcHDw4EHfJc630v7FixfZvHkzkZGRvjkhjzzy\nCAMGDLjVt7ZROnHiBECj6+kSEbnX2T5HxxjTGUi2LOu6mYzGmGHAf7qVQidQc3Q+3L+JjIIcvFS9\nP0HGwciOvZjYuf7JuvXxer14vV6CgoIoKChg0aJFvPPOOzidzl/dtoiI3H80R6dudvfo3IxHjTF7\ngRyqip79tXcwxswGZgO3PTxQ2/RuA/nfe76l3OPGAtqENmd0pwcD0rbb7eaLL77wXWUybtw4FTki\nIiJ3QEPv0WkBeC3LKjXGjAX+ZFnWDe9QF8irrq54KskqycdpDHHNI3He4B42cn/bunUrUHVTRRGR\nu009OnVr0D06lmVdvObrdcaYecaYSMuyLtyN8zdxBhEfEX03TiX3uNOnT9sdQURE/GjQhY4xpi2Q\na1mWZYx5hKqrxPJtjiVynfoe1yAiIvawtdAxxiwDhgGRxpjTwH8HggEsy1oATAXeNMZUApeBFyy7\nx9pERETknmFroWNZ1ov1bP8LVZefizRoW7ZsAarumSMiIg1Hgx66ErlXnDt3zu4IIiLihwodkQCY\nOnWq3RFERMQPXS8tIiIijZYKHZEA2LRpE5s2bbI7hoiI1KKhK5EAyM/XXQ9ERBoiFToiAfDcc8/Z\nHUFERPzQ0JWIiIg0Wip0RAIgNTWV1NRUu2OIiEgtGrq6z5SWlvLtt99y+vRpQkNDcTqdPPbYY/Tq\n1Sug53n//feZPXs24eHhN7W/y+WipKSEoKAgQkJCmDhxIpGRkaxevZpHH32UqKioO57h17h48WL9\nO4mIyF2nQuc+YlkWy5cvp1+/fkyZMgWAoqIiMjMzbU5WZcqUKbRv355du3axYcMGXnzxRSZMmGB3\nrJsyceJEuyOIiIgfKnTuIydOnMDpdJKYmOhbFxERwaBBgwCorKwkOTmZnJwcHA4Ho0aNIi4urs71\nbrebpKQk8vLyaN26NSUlJYwbN4727dvXOO++ffv4+eef8Xg8dOjQgXHjxuFw1D1qGhsby/bt24Gq\nnp6RI0cSHh7OokWLmDlzJmFhYXz++ec8+eSTdO3a9ZbbFxGR+4d+G9xHzp8/T7t27ercvmPHDowx\nzJ07l6lTp5KUlERlZWWd63fu3EloaChvvfUWI0aM4OzZs37PmZGRwWuvvcacOXNwOBykp6ffMGdm\nZiZt2rSpsS4iIoKhQ4eSnJzM1q1biYqKomvXrrfV/p2wceNGNm7ceNfPKyIiN6YenfuA17JILzjD\n7vPZhFf87eHva9eu5dSpUzidTmbPns2pU6d8vTuRkZG0bNmS/Pz8m1rfpk0boqOjrzv3iRMnOHv2\nLAsXLgTA7XbTtGlTvzm//PJLgoODiYiIYMyYMddtHzBgAPv37yctLY05c+bccvt30uXLl+/6OUVE\npH4qdBo5y7KYf2AzmUW5FJadI2fPQboO6c/Qtt0YN24cZWVlfPzxx3f0/A899BBPP/10vftWz9Gp\ni9vt9k36raiooEmTJrfU/p307LPP2np+ERHxT0NXjdyholwyi3K54q0krG1r3JVu3l/zV7yWF6gq\nHqrFxsayb98+oOpOv8XFxbRu3brO9Z06dWL//v1A1RBVbm7udefv0qULBw4c4NKlS0BVz0dRUdFt\nvZYNGzaQkJDA8OHDWbNmTcDbFxGRxkc9Oo1cibscY6q+NsbQ9alHydmRzh/fe4+IFi0JDg729YYM\nHDiQ5ORk5s2bh8PhYNKkSQQFBd1wfVJSEh9++CGRkZG0adOGJk2a1Dh/VFQUI0aMYPHixViWhcPh\nYNy4cURERNzS68jKyiInJ4fXXnsNh8PBwYMH+eWXX+jfv39A2v+11q9fD8DIkSPv6nlFROTGjGVZ\n9e91D0lMTLTS0tLsjtFgnL9cyv/cvZYKrwcAgyEqtBn/a+CvH2rxer14vV6CgoIoKChg0aJFvPPO\nOzidzl/d9r1m7dq1AIwbN87mJCJyPzLG7LIsK7H+Pe8/6tFp5KLCmvFGr8f5NHMrZZUVtAtvwVsP\nPhmQtt1uN1988QUeT1URNW7cuPuyyAEVOCIiDZV6dO4jXsuLw2halohIY6Menbrpt959REXOnZOS\nkkJKSordMUREpBb95hMREZFGS3N0RAJg9OjRdkcQERE/1KMjIiIijZYKHZEAWLt2re8ScxERaTg0\ndCUSAMHBwXZHEBERP1ToiASA7ogsItIwaehKREREGi0VOiIBsGbNGt+DRkVEpOHQ0JVIAISFhdkd\nQURE/FChIxIA1U+AFxGRhkVDVyIiItJoqdARCYBVq1axatUqu2OIiEgtGroSCYAWLVrYHUFERPxQ\noSMSAMOHD7c7goiI+KGhKxEREWm0VOiIBMBXX33FV199ZXcMERGpRUNXIgHQunVruyOIiIgfKnRE\nAuDJJ5+0O4KIiPihoSsRERFptFToiATAypUrWblypd0xRESkFg1diQRA27Zt7Y4gIiJ+qNARCYCh\nQ4faHUFERPywdejKGPOZMSbPGJNRx3ZjjPmzMeaoMWafMWbA3c4oIiIi9y675+i4gNE32D4G6H71\nv9nA/Lvam69sAAAgAElEQVSQSeSWrVixghUrVtgdQ0REarF16MqyrM3GmM432GUisMiyLAvYboyJ\nMMa0syzr7F0JKHKTOnbsaHcEERHxo6HP0ekAZF+zfPrqOhU60qAMGTLE7ggiIuKH3UNXAWGMmW2M\nSTPGpJ0/f97uOCIiItJANPRC5wzQ6ZrljlfX1WBZ1seWZSValpUYFRV118KJVFu2bBnLli2zO4aI\niNTS0IeuVgNvG2OWA4OAYs3PkYYoLi7O7ggiIuKHrYWOMWYZMAyINMacBv47EAxgWdYCYB0wFjgK\nlAG/sSepyI0NHjzY7ggiIuKH3VddvVjPdgt46y7FERERkUamoc/REbknLFmyhCVLltgdQ0REamno\nc3RE7gk9evSwO4KIiPihQqeRe/fdd/n973/vW96zZw85OTk0a9aMAwcOAJCbm0t0dDQA/fv3Z9Cg\nQezdu5effvoJAIfDQUJCwnX3iklKSqJHjx707t3b7/n+7d/+jdOnTxMTE8P06dN9++zYsYPt27dT\nUFDAf/7P/5nw8PA78+LvooEDB9odQURE/FChc5964okneOKJJ4Cq4mTOnDm+bUeOHGH79u28/PLL\nNG/enMrKSvbu3XvL5xgyZAhut5tdu3bVWN+pUyd69OiBy+X6Va9BRESkPpqjI9fZsmULI0eOpHnz\n5gAEBQXx8MMP33I7Xbp0oUmTJtetb9euHREREb86Z0OyaNEiFi1aZHcMERGpRT06jZzb7WbBggW+\n5cuXLxMfH3/DY/Ly8mjXrt2djtaoPPjgg3ZHEBERP1ToNHLBwcE1hqWq5+hIYN1Oj5eIiNx5KnQa\nGbfXw9cn9nL0Yh5twppT7nHfchtRUVGcPXu23rv9hoeHc/nyZd/y5cuXG8XEYhERaTw0R6eRmX9g\nM5vPHuFkaQG7zp/ih5zDt1zsPP7446xfv57S0lIAPB4Pu3fvvm6/zp07s3//fjweD1DVW3S/PgrB\n5XJpcrWISAOkHp1G5JK7gkNFuXgsLwBeLCq9Xo4U59H3gQ433U737t0pLS1l0aJFWJaFMYb+/ftf\nt1+PHj3Iycnho48+wuFw0KpVK8aPH+/b/tlnn3HhwgUqKip47733mDBhAt26dePnn3/mp59+orS0\nlPnz59O9e3cmTJjw698AG/Xr18/uCCIi4oepespC45GYmGilpaXZHcMWZZUV/KftX/kKHYBQZxCz\neg6lzwPtbUwmIiJ3kjFml2VZiXbnaIg0dNWIhAeFkPBAe0IcTgCcxkGz4Cb0aNnG5mSNn8fj8Q3h\niYhIw6Ghq0ZmVs+hfJO9nyPFVZORJ3Z+iBCn/pnvtMWLFwMwY8YMe4OIiEgN+g3YyDgdDsbH9rU7\nxn1nwIABdkcQERE/VOiIBEBCQoLdEURExA/N0REJALfbjdt96/csEhGRO0uFjkgALFmyhCVLltgd\nQ0REatHQlUgAJCbqqk4RkYZIhY5IAPTp08fuCCIi4oeGrkQCoLy8nPLycrtjiIhILSp0RAJg+fLl\nLF++3O4YIiJSi4auRAJg0KBBdkcQERE/VOiIBECvXr3sjiAiIn5o6EokAMrKyigrK7M7hoiI1KJC\nRyQAVqxYwYoVK+yOISIitWjoSiQAHn30UbsjiIiIHyp0RAIgPj7e7ggiIuKHhq5EAqC0tJTS0lK7\nY4iISC0qdEQCYOXKlaxcudLuGCIiUouGrkQCYOjQoXZHEBERP1ToiARAt27d7I4gIiJ+aOhKJACK\ni4spLi62O4aIiNSiQkckAL7++mu+/vpru2OIiEgtGroSCYAnnnjC7ggiIuKHCh2RAOjSpYvdEURE\nxA8NXYkEQGFhIYWFhXbHEBGRWlToiATAqlWrWLVqld0xRESkFg1diQTAsGHD7I4gIiJ+qNARCYDO\nnTvbHUFERPzQ0JVIAFy4cIELFy7YHUNERGpRoSMSAMnJySQnJ9sdQ0REatHQlUgAPPXUU3ZHEBER\nP1ToiARAp06d7I4gIiJ+2Dp0ZYwZbYzJNMYcNcb83362zzDGnDfG7Ln630w7corUJy8vj7y8PLtj\niIhILbb16BhjnMCHwDPAaWCnMWa1ZVkHau36V8uy3r7rAUVuwbp16wCYMWOGvUFERKQGO4euHgGO\nWpZ1HMAYsxyYCNQudEQavGeeecbuCCIi4oedQ1cdgOxrlk9fXVfbFGPMPmPMSmOMJkJIg9ShQwc6\ndPD38RURETs19MvL1wCdLctKADYAX/jbyRgz2xiTZoxJO3/+/F0NKAJw7tw5zp07Z3cMERGpxc5C\n5wxwbQ9Nx6vrfCzLyrcs68rVxU+Ah/01ZFnWx5ZlJVqWlRgVFXVHworcSEpKCikpKXbHEBGRWuyc\no7MT6G6MiaOqwHkBmH7tDsaYdpZlnb26OAE4eHcjityc0aNH2x1BRET8sK3QsSyr0hjzNvAt4AQ+\nsyxrvzHmfwJplmWtBn5rjJkAVAIFwAy78orcSNu2be2OICIifhjLsm68gzEtgCjLso7VWp9gWda+\nOxnudiQmJlppaWl2x5D7zJkzVaOumpAsInYwxuyyLCvR7hwN0Q17dIwx04D3gTxjTDAww7KsnVc3\nu4ABdzaeyL1hw4YNgO6jczccOnSI5cuX8/bbbxMZGXnb7SQlJdGjRw969+59U/unpaURHBzMQw89\nRFJSEllZWYSGhmKMYezYsXTq1AmXy8XIkSNp3779bee6VT///DM7d+7EGEOPHj10qwORWuobuvo9\n8LBlWWeNMY8Ai40x/9WyrK8Bc+fjidwbxo4da3eE+0Z6ejoxMTGkp6czfPjwu3bexMSafyyPHDmS\n3r17c+zYMZKTk3nzzTfvWpZqJ06cIDMzkzlz5hAUFMSlS5fuegaRhq6+QsdZPRnYsqwdxpjhQPLV\n+9nceMxL5D7Spk0buyPcFyoqKjh16hQzZsxg6dKlvkInKyuL1NRUQkJCKCgoIC4ujnHjxmGM4d13\n32XAgAEcO3aMZs2aMXXqVJo2bVqj3ZycHL799lsqKioIDw9n0qRJNG/evMY+P/zwAyEhIQwZMqTG\n+tjYWAoKCnzL+/fvZ+3atZSXlzNhwgRiY2OprKwkOTmZnJwcHA4Ho0aNIi4ujj179pCZmYnb7aag\noIBevXr5emSOHTtGamoqHo+HVq1aMWnSJEJCQmqcOy0tjaFDhxIUVPWjvPbrEpH6Ly8vMcZ0rV64\nWvQMo+oOxg/ewVwi95Ts7Gyys7Pr31F+lUOHDtGtWzdat25NeHg4OTk5vm1nzpxh7NixvPXWWxQU\nFHDwYNVFmhUVFbRv35633nqLzp07s2nTphptejwevvnmG6ZNm8Ybb7xB//79+f777286U2ZmZo1C\n1+v1MmvWLEaPHu07144dOzDGMHfuXKZOnUpSUhKVlZVA1T2Ypk6dyty5c8nIyKC4uJiysjI2b97M\nK6+8whtvvEH79u3Ztm3bdefOz8/n5MmTLFy4kM8//9w3V0xE/qa+Hp03qTVEZVlWiTFmNDDtjqUS\nucd89913gP1zdP7whz+QkJDAc889B1T90v3Xf/1XOnbsyPTp0+s8Licnh7179zJmzJhfdX6Xy0VJ\nSQlBQUGEhIQwceLE255Hk5KSQlZWFgAll8u4WFpCfJduPDp4MAB9+vQhIyODhQsXEhQURGZmJhs2\nbGDy5Mn07duXf/mXf8HlcmGMoU+fPgAkJCTw17/+tcZ58vPzycvLY/HixUDVe1a7N8ef9evXs3nz\nZsLDw5k4caJvfa9evQBo164dRUVFAJw6dYpBgwYBEBkZScuWLcnPzwcgLi6O0NBQAKKioiguLqa8\nvJzz58/z2WefAVXFWMeOHa/L4PV6uXz5MjNnziQnJ4d///d/5z/8h/+AMZpZIFKtvkLnEhANHK21\n/hFg+x1JJHIPGj9+vN0RAAgJCSEvLw+3201wcDDHjh2jRYsW9R7Xvn37gE2gnTJlCu3bt2fXrl1s\n2LCBF198scZ2r9eLw1H/vUpHjx6N17JYfORnNqZupLS0kJ9+SiE75wxhwSF4vV6MMQQFBfHSSy+R\nmpqK0+kkLS3NVzjcDMuyiIqKYubMmbf0Oqvn6NRWPYzkcDjwer31tlO9/7XHWJZFly5dmDp16g2P\nbdGiBb169cIYQ4cOHTDGUFZWpiEskWvUV+i8D/xXP+svXt32bMATidyDfs3VP4HWvXt3jhw5Qu/e\nvcnIyKBPnz6cOnUKqBrG+eabb8jLy8Pj8TBs2DB69uxJVlYWW7duZfr06SxZsoSSkhIACgsLfb08\nOTk5vknXS5cuZciQIXTu3LnOHLGxsWzfXvX30Pvvv8+DDz7I8ePHeeyxx4iMjCQ5ORm3202rVq2Y\nOHEiYWFh17WxPe8EaedPcv74KZq0bEZoTDTNxjzCO32GAfD5559z9mzVPUXPnDlDbGws+fn5FBYW\nEhER4XsN/+f//B/+y3/5L6Snp5Obm8uePXsA2LZtG2VlZfz444+EhYXx0ksv4fF4yM/PD+i8q9jY\nWPbt20dcXBz5+fkUFxfTunVrX/baOnbsyLp16ygoKOCBBx6goqKCkpISWrduXWO/6n+76nY9Hg/h\n4eEByy3SGNRX6ERblpVee6VlWenGmM53JJHIPah6iOVGv/jvlj59+rBp0yZ69OhBbm4u/fv39xU6\nP/74I3FxcUycOJHy8nIWLlxIly5dahz/0ksvAVWFzapVq+jZsyeHDh265Ry1566Eh4fzxhtvADB/\n/nzGjBlD586dSU1NZdOmTX7vLn3iYj4lxRe5UnIJHPBAQk9Olf5t4m/v3r1JTU0FqoaKvvzyS8LC\nwhg2bBjVj4MJDg6msLCQefPm0bRpU/r27QvAlStXOH78OP/4j//I888/z+rVq5k/fz5er5fBgwcH\ntNAZOHAgycnJzJs3D4fDwaRJk2r05NTWtGlTJk2axMqVK/F4PACMGDHiukKnf//+rFq1innz5uF0\nOpk8ebKGrURqqa/QibjBtuv//BK5T/3www+A/XN0AKKjoykqKiI9PZ3u3bvX2Hbs2DEyMzPZunUr\nAJWVlRQXF1/XRllZGV9//TXPP//8LQ0DAXz55ZcEBwcTERFRY87Pgw9WXb9QXl5OeXm5ryh86KGH\n+Pd//3e/bbUNb87FrBxade5AzKP9MEBUWDPf9kGDBpGSksKSJUs4duwYU6dOZdSoUTidTvbt+9v9\nTBMSEnxzlNatWwfA888/T0FBAatXr6ZHjx68/vrrOJ3OOl/XsGHDfF9PmjTJ7z7X/vuHh4fzu9/9\nDqganvJ3TL9+/ejXr59v+dp5VHFxccyePbvOPABOp9M3H0tE/Kuv0EkzxsyyLGvhtSuNMTOBXXcu\nlsi95drJqHeTZVmUpeVw+dB5HGHBeEorAIiPj2f9+vXMmDGDy5cv19h/2rRp1w21XXv/Fa/Xy8qV\nK3nyySd9vRoOh4Nr76JefcWQP9VzdGqrfWn0zXiyXXfm5RTQdkA8Yc5gnA4Hr/YYXGOf4OBgpk+f\nztatW/3ez8gY4ze7w+Fg1qxZnDhxggMHDrBjxw5effXVW84oIg1bfYXO74CvjTEv8bfCJhEIASbf\nyWAi95JWrVrZct7SLScp25WD5a6a9Hp571kqCy/Tv39/QkNDiY6O9g2rAXTr1o0dO3YwZswYjDGc\nPXuWdu3a1Whz48aNREdH+65UAoiIiGDnzp1YlsXFixd/1WXMoaGhhIaGcvLkSd/cldjYWL/7FhUU\nMrR1ZyY+9TwVlofYZq0JCwq+br/OnTvXOWz43/7bf+Pzzz+nsrKSyspKjh8/TkxMDBUVFbjdbrp3\n706nTp3405/+dNuvSUQarhsWOpZl5QJDrt4osPqn3lrLsm7+JhMi94Hjx48DXDff5U4r23POV+RA\nVY9N+eF8Wgzq6Luc+VpPPPEEKSkpzJ8/H8uyaNWq1XWXnW/dupU2bdqwYMECAIYPH06PHj2IiIjg\nww8/JDIy8rri6FZNnjz5usnI/mRkZNC3b1+6tIy67XO1bNmSBx98kHnz5tGqVStf9itXrrB8+XIq\nKyuxLItRo0bd9jlEpOG64UM9jTGhwBygG5AOfGpZVt191g2AHuopdnC5XMDdn6OT+8F2rPJrviUd\nhuaPx9L0kevvuSIijZce6lm3+oauvgDcwI/AGKAXVcNZInKNyZPtGcltOrADl7ZlY1V6wYAJchDa\n8/Z7P0REGpv6Cp3elmX1BTDGfArsuPORRO49LVu2tOW8TQd1xBEeTPmhCzjCgmk2NAZniya2ZBER\naYjqK3Tc1V9YllWp+zOI+Hf0aNXNw7t163ZXz2uMITyhLeEJbe/qeUVE7hX1FToPGWMuXv3aAGFX\nlw1gWZZV/73lRe4DW7ZsAe5+oSMiIjdW31VXdd89S0R86nsmkYiI2KO+Hh0RuQnNmjWrfycREbnr\n6n+EsIjUKzMzk8zMTLtjiIhILerREQmAbdu2AVWPXhARkYZDhY5IAEybNs3uCCIi4ocKHZEACA8P\ntzuCiIj4oTk6IgFw8OBBDh48aHcMERGpRT06IgHw888/A9CrVy+bk4iIyLVU6IgEwAsvvGB3BBER\n8UOFjkgAhIaG2h1BRET80BwdkQDIyMggIyPD7hgiIlKLenREAiAtLQ2APn362JxERESupUJHJABe\neukluyOIiIgfKnREAiA4ONjuCCIi4ofm6IgEwL59+9i3b5/dMUREpBb16IgEwO7duwFISEiwOYmI\niFxLhY5IALz88st2RxARET9U6IgEgNPptDuCiIj4oTk6IgGwZ88e9uzZY3cMERGpRYWOSACo0BER\naZg0dHWHvPvuu/z+97/3Le/Zs4ecnBzGjh17V3OsXr2aRx99lKioqBrrXS4XhYWF/O53v8MYA8Dy\n5cs5fvx4jdy1lZeXk56ezsCBA28px3fffcfevXspLy+v0X5lZSVff/01Z8+eJSwsjOeff56IiIga\nxxYVFfGXv/yFyMhIPB4PsbGxjBs3zpe7IZgxY4bdEURExA/16DRyEyZMuK7IqRYaGkp2djZQVcCU\nlJTU2155eTk7d+685Rzx8fHMmjXruvW//PILYWFh/Pa3v+XRRx9lw4YNfo9/4IEHmDNnDm+++Sbn\nz5/n0KFDNbZ7vd5bziQiIo2fenRskJSURI8ePejduzfwt96fiooKli1bRnl5OR6PhxEjRtCzZ09+\n+ukngoKCGDRoECkpKeTm5vLqq69y4sQJdu/ezZQpUzh27Bipqal4PB5atWrFpEmTCAkJweVyMXLk\nSNq3b39djj59+pCRkUFMTAwHDx6kV69enD9/HqDOLBs3bqSgoIAFCxbQpUsXRo4cyU8//cT+/fvx\neDz07NmT4cOHX3eujh07+n0vDh06xLBhwwDo3bs369atw7KsOntrHA4HnTp1oqCggKysLL7//nvC\nwsK4cOEC77zzDtu2beOXX34BYMCAAQwePPiW/31ux65duwB4+OGH78r5RETk5qjQuUPcbjcLFizw\nLV++fJn4+PgbHhMUFMQLL7xAkyZNKCsr45NPPiE+Pp7Y2Fi2bt3KoEGDyMnJwePx4PF4OHnyJLGx\nsZSVlbF582ZeeeUVQkJC2LJlC9u2bePJJ5+84fni4uJYs2YNXq+XjIwMnn32WTZv3nzDLE8//TR5\neXnMmTMHgGPHjlFQUODrrVm2bJkv180oKSmhZcuWQFUR06RJEy5fvkx4eHid7+vx48d9xdTZs2eZ\nO3curVq1Iicnh19++YWZM2cCsHDhQmJjY2nXrt1NZfk19u/fD6jQERFpaFTo3CHBwcG+YgD+Nkfn\nRizL4rvvvuPkyZMYY7h48SKXLl2iXbt2nD17litXrhAUFES7du3Iycnh1KlTjBkzhtOnT3P+/Hk+\n++wzADweT509KNdyOBzExMSQkZGB2+2uMTemriy1HTt2jGPHjvHRRx8BVT1B+fn5N13o3KzqXiSA\nnj170r17d7KysujQoQOtWrUC4NSpU/Tq1YuQkBAAevXqxalTp+5KofPKK6/c8XOIiMits7XQMcaM\nBv4EOIFPLMv637W2NwEWAQ8D+cDfWZaVdbdz3iwrKwPv90vgShnew6ex3BWY4JDr9nM4HFiWVXWM\nZeHxeABIT0/n0qVLzJ49G6fTyfvvv09lZSVOp5OIiAj27NlDp06diI6OJisri4KCAiIjIykoKKBL\nly5MnTr1ljP36dOH5cuX+4aPqtWV5brXbFkMHTqUxMTEWz43QPPmzSkuLqZFixZ4vV6uXLlCWFjY\ndftVz9GprbqoERER8ce2ycjGGCfwITAG6A28aIzpXWu314FCy7K6Af8f8P/e3ZQ3zzqfjXf1h1CU\nB5dL4UI23g0uv/tGRET4encyMzN9hU55eTlNmzbF6XRy4sQJioqKfMdUD1/FxsYSExNDWloabdu2\nxRhDx44dyc7OpqCgAPhbr8rNiImJ4fHHH6dv37411teVJSQkhCtXrvj269atG7/88gsVFRUAdfb8\n1CU+Pp69e/cCcODAAeLi4m77aqrY2FgOHTqE2+2moqKCQ4cOERMTc1tt3aqdO3fe1iRtEbv84Q9/\n4Ntvv/Utb926lR9++OGGxyQlJXHgwIHr1q9evdo3v+9mnDt3jk8++YQFCxbw8ccfc+bMGaDqD6dv\nvvmGP//5z8yfP5+zZ8/6jtmwYQMffvghf/nLX/jmm298fyxey+Vy8cEHHzB//nw+/fRTLly4cNOZ\nbuRPf/rTdW2lpKSwZcsWcnJy+OabbwJyHrkz7Lzq6hHgqGVZxy3LqgCWAxNr7TMR+OLq1yuBp0xD\nuqb4GlZWBng9f1vh9cIx//dVGTBgACdPnmT+/PlkZ2f7eiUSEhLIyclh3rx57N27l8jISN8xMTEx\nlJSU0LFjR5o1a0ZQUJBveKhp06ZMmjSJlStX3vI3uDGGIUOGXDcnpq4s4eHhxMTEMG/ePNavX0/X\nrl3p27cvn3zyCfPmzWPFihU1CqFqGzZs4L333sPtdvPee+/5fqAOGDCAsrIy/vznP7Nt2zaefvrp\nm8rtT7t27ejXrx8LFy7kk08+YcCAAXdl2Arg8OHDHD58+K6cSyQQgoKCOHjwIGVlZb+6rRtd3enP\nhg0bePLJJ5kzZw7Dhw/3XW159OhR8vPzeeedd3j22WdJTk4GIDs7m1OnTvHmm28yd+5czpw5w8mT\nJ/22PWXKFN5880369etX51Wc/tzoys3qCzeqWZbFgQMH6NOnD+3bt2fMmDE3fR65++wsdDoA2dcs\nn766zu8+lmVVAsVA6xs1mp+f77txm8fjweVy+Z4q7Xa7cblcvg9seXk5LpeLgwcPAlBWVobL5SIz\nMxOA0tJSXC4XR48eBaC4uBiXy8Xx48cBKCwsxOVykZWVBcFNyLeCWVTWhmxPCP/16YfIIxSXy8WZ\nM2fo168fAwYMwOVyUVpaysyZM5kwYQJnzpzxTZ7Nz88nKCiIadOmMWnSJMaPH09SUhKFhYV06dKF\nv//7v2fp0qUUFxfzzjvvEBUV5WsvLi6OJ598krCwMF599VXi4+N9r+uBBx4AICMjA5fLhdvtZsaM\nGVy4cAGXy+XrUdqzZ4/v6qzw8HD69+9Ps2bNmDRpEm+//TZHjhxhyZIlTJkyhblz59KiRQuWLVvG\n4MGDmTt3Lv369aNFixa+823ZsoWVK1cC8Mwzz/Dwww/Tt29f/uN//I8MGzaM1NRU1q5dy7Rp0/jt\nb39LXFwcW7Zs8f1brl+/nrVr1xIREcHcuXNJSUkhJSXFt33//v01isE1a9Zw6dIl5s6dy9y5c8nN\nzSU1NdW3/auvvmLTpk2+5ZUrV9Y434oVK9i6datvedmyZWzfvt23vGTJkhq9NosWLfJdbfXSSy/h\ndrvt+eyB79+y+nYBeXl5vs8eVP0F7XK5OHfuHABnzpzB5XKRl5cHVP0icblcvgI5KyvLd68lgOPH\nj+NyuSguLgaqfiFVf/agqmfS5XL5fmkePHgQl8tFeXk5UPOzB1VPe6/92XO5XL73dteuXSxatMi3\nvHPnTpYsWeJb3r59O8uWLfMtb926lRUrVviWr/3sAWzatImvvvrKt5yamsqqVat8yxs3bmTNmjW+\n5erPXrXan721a9eyfv163/KaNWvYuHGjb3nVqlV37bMHVT0Zt/rZu3DhAg8//DCpqam4XC5f4VBa\nWsq8efP4l3/5F+bPn8/8+fOZN2+e77NX/VlcunQpSUlJ5OXlMXPmTF++f/u3f2PGjBn80z/9E6mp\nqX4/ez/++KOvVzsrK4u0tDQuXLjAoUOHiIyM5IsvvqBp06aUl5ezb98+VqxYQUlJCR6Ph8zMTLZs\n2eLr0an92Tty5Agul4vo6GgKCgrIyMhg+vTpvs/uxo0bmTlzJh6Phx9++IE//vGPvPbaa3z11Vd4\nvV4+/PBDfvOb3zB//nzS0tLYuXMnmZmZvgsOtm/fzgcffEDLli2JiIjgyy+/5Le//S1Q1Zv+z//8\nz8yZM4cFCxZw6NAhNm3axO9+9ztyc3MB+Id/+Af+6Z/+Caj6HM6bNy+gnz25XqO4j44xZrYxJs0Y\nk1b9g/SuZ+g1GEKbAlc7nIJCMA+PtCWLiMjNeOSRR9i/fz+1f27u3buXnj178uabb/Lggw+Snp5e\nY3tGRgaXL19m4sSJOBw1f408/vjjDBs2jFdeeYWTJ0/6HdLq06cPmzZt4r333mPz5s2+W22UlJTQ\nvHlz334tWrTg0qVLtG7dmtjYWP74xz/y6aef0qZNm3p7kA4fPkybNm3qfQ8KCwsZMmQIU6dO5Zdf\nfiEkJIThw4cza9Ysdu/ezcWLF2nZsiXGGF+xlp2dfd1wP8CP/z97dx4fdZUm+v9zqpIQspKQQMhK\nICEEwg6yiBhZwiYSFWlFRbRlt2e83fOavt33zv1N/6Yv09P3Tg9tt4piKy2KG2rYISCEiGwGhCyQ\nQEKKbISErJC9qs79I+QrIQmglhTC8369fJmq+i5PVZR6OM9zzvnyS/r06cPUqVNZtGgRu3fvpqWl\nhfZDUKQAACAASURBVMDAQM6fP09jYyMmk8n4TM6fP0/v3r1vGqP4YVRndc7bcmOlxgP/qrWefvXx\nbwC01v9+zTG7rh5zSCnlApQCgfoGQY8ePVqnpaX9uMF3QTfWodP3oxuuYIocigof6JQ4xO3X9rfv\n27VujxDfh25qgKIcMJlZ9V4S/+Nf/oV9+/ZhMplwdXWlubmZ+Ph4/vjHP/KrX/0Ks9mMzWbjP//z\nP/nnf/5nkpKSuHDhAqGhocyZM8e47rXrdaWlpXHs2DHsdjuXL19m1qxZxMXFtYtjx44dREREMGjQ\nILKysjh27BgLFy5kw4YNTJw40eit+/vf/860adNwd3dnx44dPPHEE0DriNa0adM6zO5ct24dly9f\nxtXVlR49ejBz5kx8fX1ZvXo1S5YswcPDg5KSEpKTk1m0aJFRQm+bjPHxxx9z8eJFXF1dgdbRrzlz\n5tC/f39SU1Npbm5m8uTJ/OlPf2LZsmV4eXlhsVg4ePAgCxYs4M0338RqtRrJX0NDA8888wwNDQ0c\nOXKE4cOHU1xcTF5eHgsXLuTVV1/l5ZdfdsjvVil1TGv9/WaF3OWcOevqayBaKRUJFANPAguuO2Yz\n8BxwCJgH7L1RkuNsyt0Tdd/t3eJB3Bny8/MBSXTEnUvXVmDf8HuwNoMGfSIT3fhLxo0bxxtvvMHw\n4cNv6TohISGUlJTQ0NDQYYZkVVUVBw8eZPHixXTv3p2kpKROZ2ueOHGCGTNmAK0LhW7evBn4dhZm\nm9raWry9vUlPTyc0NNToZ4yOjqaoqKjTZSwef/zxDgukXjvT9fp4rp25qbVm5syZREVFdbhuXFwc\n69evp2/fvvTu3RsvL68Ox2itmT9/fruSOrSWE0tKSvDz86N///7U19dz7Nix29ZDeK9zWunqas/N\nS8Au4DTwsdY6Syn1/yulHrl62N+AnkqpXOCXwH93TrRC3NhTTz3FU0895ewwhOiSfd8HrTNCmxuh\npREa67Ef2kz37t0ZPHiwsaI4QFhYmNHTk5GR0W72YlRUFBMnTuT999/vMPGgqakJV1dX3N3duXLl\nCmfPnu00Fm9vb6MnKD8/3+jra5uFqbWmqKgId3d3vL298fX15fz589jtdmw2GxaLpUMycSPXznTt\nbNbYte8tLS3N6B2rqKgwZpT6+/vj4eHBnj17OoxQXXv+0aNHjaSqbdaY2WzG19eXU6dOERoaSnh4\nuDGLVvz4nLqOjtZ6O7D9uuf+1zU/NwJP3O64hBDirlNdBvqamUVaQ3Vrg+z48eM5evSo8dLMmTPZ\ntGkTBw8exMPDg8TExHaXGjx4sLFNzNNPP208HxQURJ8+ffjrX/+Kj49Pl8s7PPLII+zYsQO73Y6L\ni4tRBouOjubs2bO88soruLq6GvcdNGgQ+fn5vPbaayiliIqKuulK89d68MEH2bx5M/v27aNv375d\nHjdy5Eiqq6uNBVA9PDx48sknjdeHDBnCnj17iI2N7fT8SZMmsXPnTl5//XW01vj5+bFgQWuhIjw8\nnPz8fFxdXYmIiKC2tlYSndvEaT06PxZn9uiIe1fbjJkJEyY4ORIhOmf74n3I/BJsVxuPXdxQ4x/B\nNEamRt8NpEena7IFhBAOUFRU5OwQhLgh06R52KtKW5uRAaJGokZNd25QQtwGMqIjhBD3EN1YDyaF\ncuu41Yr46ZIRna7JiI4QQtxDlLvHzQ8S4i5yVywYKISzHThwoN1Kt0IIIe4MMqIjhAO0rZgqhBDi\nziKJjhAOMG/ePGeHIIQQohNSuhJCCCHEXUsSHSEcYP/+/e12pxZCCHFnkNKVEA5QUVHh7BCEEEJ0\nQhIdIRzgsccec3YIQgghOiGlKyGEEELctSTREcIB9u3bx759+5wdhhBCiOtI6UoIB6itrXV2CEII\nITohiY4QDjB37lxnhyCEEKITUroSQgghxF1LEh0hHGDPnj3s2bPH2WEIIYS4jpSuhHCAhoYGZ4cg\nhBCiE5LoCOEAc+bMcXYIQgghOiGJjhDiR7Vq1Sp++9vf/uj3+eKLLzh79qzxuKWlhcrKSn7zm9+Q\nnZ3NV199hdaabt26MXv2bIKCggBYvXo1bm5umEwmTCYTS5Ys+dFjFULcPpLoCOEAycnJACQkJDg5\nknvXlClTmDJlivH4008/ZfDgwbi5ueHn58eiRYvo3r07Z8+eZcuWLSxevNg4dtGiRXh4eDgjbCHE\nj0wSHSEcoKWlxdkh/KTk5OSQmpqKzWbDw8ODxx57DE9PT/785z+zbNky3N3dAXjllVd44YUXKC4u\n7nC8l5dXl9dPT0+nsrKSRx99FICwsDDjtdDQUFn3SIh7iCQ6QjjA7NmznR3CT0p4eDgvvvgiSimO\nHz/OV199xfTp04mJieH06dOMGDGCoqIievTogZeXV5fHd6a6upo9e/awaNEiTKaOE0u/+eYboqOj\n2z23fv16AEaPHs2oUaMc/4aFEE4jiY4QwuG01sZMNK11h9dra2vZuHEjly9fxmaz4efnB0BcXBz7\n9+9nxIgRZGZmMnjw4Bsefz273c5nn33GQw89hL+/f4fX8/PzOX78OC+88ILx3AsvvICPjw91dXW8\n++67BAQEEBER8YM/AyHEnUESHSEcYOfOnQDMmDHDyZE4n81m4+jRo1RVVQFQUFCA1WrFxeXbP252\n7NjB+PHjiYmJwWKxkJKSArSWlSorK6mrqyM7O5tJkybd8Pjrpaam4uXlxYgRIzq8dvHiRTZv3swz\nzzzTrh/Hx8cHAE9PT2JjYykuLpZER4i7iCwYKIRwqDNnzlBVVYXdbsdut9PY2Eh2dna7YxobG/H2\n9gbgxIkTxvNKKQYOHMiuXbsIDAw0EpKujr9WUVERJ06c6HSqf01NDR999BGPPfYYPXv2NJ5vbm6m\nqanJ+DkvL49evXr9gHcvhLjTyIiOEA4gIznfqq6uxm63G4+tVitr1qyhX79+AIwfP574+Hg++eQT\n3N3diYyMpLq62jg+Li6ON998k8TEROO5Gx3fZt++fbS0tPD3v/+93fPz58/nwIED1NfXs23bNgBj\nGnldXR0ffvgh0Fr2GjJkCFFRUY77MIQQTqc6q5//lI0ePVqnpaU5Owwh7lmZmZmcP3/e6M1RShES\nEsLw4cOdHJkQdy+l1DGt9Whnx3EnktKVEA6wbds2Y7TgXhcTE4OnpydmsxkXFxc8PDwYNGiQs8MS\nQtyjpHQlhAO4uro6O4Q7hqurK5MmTTLKS76+vpjNZidHJYS4V0miI4QDyIrI7ZlMpk6ndwshxO0m\npSshhBBC3LUk0RHCAbZs2cKWLVucHYYQQojrSOlKCAfo3r27s0MQQgjRCUl0hHCAqVOnOjsEIYQQ\nnZDSlRBCCCHuWjKiI4QDbNq0CQA/Pz8yMjIwmUwopXj44YcJDQ11cnTfXXp6Ol999RV2ux2TyURI\nSAgJCQm4u7t3eU5SUhIDBgz40dbMOXPmDHv37kVrjd1uZ+zYsYwe3bo+WlZWlrH/VVBQEI8//niH\n83/3u9/Ru3dv43FcXBwTJ05sd4zFYuHgwYMsWLDgR3kPQojbTxIdIRzAx8eHsrIyzpw5w9KlS3Fx\ncaG+vh6bzebs0L6z3NxcDh06xNNPP42Pjw92u52TJ09y5cqVGyY6PyabzcaWLVtYvHgxPj4+WK1W\nY52eiooKvvzyS1544QW6d+9OXV1dp9dwdXVl2bJltzNsIcQdQBIdIRzgoYce4vTp03zzzTfGLt3X\n7pC9f/9+cnJysFqthIWF8fDDD6OUYt26dQQFBVFQUEBzczOPPvooBw4c4OLFi8TFxTF58mSam5v5\n5JNPqK2tRWvNpEmTiIuLY/Xq1SxZsgQPDw9KSkpITk5m0aJFpKSkUFNTQ1VVFTU1NYwbN46xY8ca\ncaSnp+Pp6YmPjw/BwcFMmDCh3XtJTU0lISHB2NXbZDK12w28q/dyrc6O0Vrz1ltvkZCQQN++fdmz\nZw9KKfr168eRI0d48sknAcjLy+Prr782HkPrhpt2u91o+nZxcSEgIACA48ePc9999xmveXp6fqff\nXW5uLjt37sTV1ZXw8HDj+bq6Oj799FMuX75MWFgYeXl5LF26FA8PD9LT0zly5Ag2m42QkBBmz56N\nySSdAELciSTREcJB+vfvz/79+/nLX/5Cv379GDx4MH379gXgvvvu48EHHwTgs88+48yZM8TExABg\nNptZsmQJhw8f5sMPP2TJkiV0796dV155hXHjxmGxWPD29ubpp58GWnfyvplLly7x3HPP0dzczF/+\n8hdGjx5NaWkpp0+fZvny5dhsNt544w2Cg4M7nFteXk6fPn26vPaN3svNjklMTOTjjz9m1qxZ5Obm\nsnjxYkwmE9u2baOurg5PT09OnDjRLrGC1lltMTExrF69msjISAYMGMCQIUNQSlFRUQHA3/72N7TW\nxMfHd7oxZ0tLC2vWrDEeT5w4kYEDB7J582aee+45/P392bhxo/H6/v37iYyM5IEHHiA3N5fjx48b\nn09mZiYvvPACZrOZbdu2kZGRwbBhw274OxFCOIckOkI4wGeffQbAkiVLKCgoID8/n40bNzJ16lSG\nDx9Ofn4+X331FS0tLTQ0NNCrVy8jOWj7d+/evQkMDMTb2xto7fepra2ld+/eJCcns3v3bgYMGEBE\nRMRN44mOjsbFxQUXFxc8PT2pq6ujsLCQmJgY4/nrk5POXLx4kc8//5ympiamTJlCXFzcDd9Lm66O\n6dWrF8OGDWPDhg38/Oc/N7aGGDp0KOnp6YwYMYLCwkIeffTRDrE88sgjXLx4kXPnznHw4EHOnTtH\nYmIidrudiooKFi1aRG1tLe+88w4rVqzoUGbrrHRVWlqKn58fPXv2NOI4duwYAAUFBfzsZz8DICoq\nyhgxys/P58KFC6xduxZoTaC+6yiSEOL2kURHtJOamirNtN+hmVbbrOgjW/EvOQXdPVANl+nbty99\n+/ald+/enDhxgri4OLZt24anpycuLi6MGjUKq9VKSUkJBw4cMLaPUEoZZa+2x6WlpXh6erJ06VLO\nnj3L3r176devHw8++CAmk8nYIdxqtbaL6/jx42RkZKC15vTp09+pVygwMJALFy4QGRlJ7969WbZs\nGdu3b8dqtWK1Wtm2bRtLlizB19eXlJSUDve+2TEXL17E3d29XS/NiBEj2LBhAy4uLgwePLjLMlDv\n3r3p3bs3w4YNY/Xq1SQmJuLj40NISAhms9lIWioqKggJCbnl9/xdaK0ZNmyYLCkgxE+EFJWFobCw\n0GimXb58OQsXLsTX19fZYX1n1zbTrly5kqVLlxIWFsaVK1ccfi/7jrfQabt4oDmf2JJvKF/zG3Rz\nA9A6WtCjRw/jS97NzY2amhpjdtCtKCsr4+TJk7i6ujJ06FDuv/9+Lly4AECPHj0oKSkB4NSpU+3O\nuXjxIsuXL2fFihVUV1dTWFhIWFgYZ86cwWq10tzczJkzZzq95wMPPEBycjK1tbXGcy0tLcC3CZWH\nhwfNzc3t7tvmRsecPn2ahoYGnn/+eXbs2GGU4by9vfH29iY1NZXhw4d3uGZzczMWi8V43PbZAgwc\nONB4rb6+noqKCvz8/G7wqX4rICCA6upqKisrAcjIyDBeCwsLIysrC2jtG2poaP299uvXj1OnThmJ\nWkNDg9EYLYS48zhlREcp5Q98BPQFLMB8rXVVJ8fZgLY/eQq01o/crhjvRVeuXMHDw0Oaabs45vpm\n2t07t6O3baafvxdHC8p5oF8QO4+dpvifXqawzkpCQgJz5szB3d2dUaNG8dZbbxEZGUlNTU2Hz95q\ntZKcnMyhQ4eora1l+vTp2O12Dh48SH19PZ9++inR0dEEBQXRvXt31q5da8zyCg8PN3qB2thsNmMU\nR2uNh4cHISEhxMTE8Prrr+Pp6UmvXr3o1q1bh1iio6Opq6vjvffeQ2uNu7s7vXr1on///sZ7ee21\n1/Dy8uq0x6erY+rr69mzZ4+RQN93333s2LHDKFMNHTqU+vp6AgMDO1xTa81XX33Fli1bcHV1xdXV\nlcTERKC1NyovL49XX30VpRQJCQnt/tttc32PTlRUFFOnTmXOnDls2LDBaEZubm4GID4+no0bN5Ke\nnk5oaCheXl64ubnh4eHB5MmTWb9+PVprTCYTs2fPNhIvIcSdRbUNfd/Wmyr1R6BSa/0HpdR/B/y0\n1r/u5LgrWmuv73Lt0aNH67S0NEeFek9pbm7m7bffpqWlpV0zbXZ2NuvXr+e//bf/RkBAAJ999hmD\nBw8mJiaGdevWERISwrRp0zh8+DBfffVVu2baZcuWYbFYyM3NxW63M2DAAPr164e7u/sNE528vDwG\nDx4MtCYdUVFRZGRkcObMGSZOnEhCQgLbt2/n4sWLrFy5st0X7n/8x3/wj//4j12WqRoaGox+i2vf\ny7Wlq66OyczMZNWqVcTGxpJ9KovfR0FYDw+WphQQPzKOBQEtvFHpQ25NEwMGDMBqtRIXF0d8fDz/\n9//+X7p3746XlxeTJk2iW7duxns+ePAg5eXlzJ07l0uXLrF+/Xp+8YtfkJmZSUlJCbNmzQLgiy++\nIDAwkKFDh9LY2MjatWtZunQpbm5u7d5jcnIyx48fR2vNfffdx5QpU4zfsZubGy0tLbzzzjvMmTPn\nho3Ht9P27dsJCgpi5MiRzg4FaE0+TSYTJpOJwsJCtm3bJtPTxR1LKXVMaz3a2XHciZzVozMXiL/6\n89+BFKBDoiNuLzc3t06bac+ePUv37t3593//d/r37/+9m2mrq6vx8vK6pR6Y6Ohoxo0bB0BaWhpN\nTU3ExMTw4IMPEh4eTnJyMjExMVy8ePGG13F0M+0333zDww8/zLlz51jx0i/Y98kbPBfYjeF9/Lhc\nVkpjYG8uNMHIkSN55plnaG5uZs2aNe2uP2nSJFJTU5k2bZrxXEFBgTFqFRAQgK+vrzGb6Fp5eXnk\n5ORw8OBBoPXLuKampt0oSGVlJeXl5fzyl78E4N133+X8+fNERESwZcsWysvLsVqtDBs27I5Jct54\n4w3c3NyMfqU7QU1NDZ988glaa8xmM3PmzHF2SEKI78FZiU5vrfWFqz+XAr27OM5dKZUGWIE/aK2T\nbkt09xhdlIP9yFawWlHDJ9M3ZozRTJuWlkZpaSlWq5XevXuzYsUKUlJSKCoq4p133uHw4cMUFRUx\nfPhwBg8ejIuLC6tWrWLkyJHs3buXmpoaFi9ezNKlS3njjTc4cuQIrq6uREdHc/ToUUwmE35+fowa\nNapdTC4uLqSkpODm5mY03baVlyIiIqisrKRfv35A66q427Zto7GxkUceeYTAwEAKCwvJysqipKQE\nk8mEt7c3VquVtLQ0Vq9ezaRJk7BarWitjZ6S0tJS0tPTCQgI4ODBg/zXf/0XgYGBHZppS0tLcXd3\np7q6Gp/7H0YFu/Ks90k+OJ5L1pC5DPAtNppp3dzcCA4ONnpAACIjI3nttddoaWkxyoTJycnExsYa\nZb59+/ZRVlZGVFRUuzKM1pr58+cba8h05vTp04SGhhqjPNHR0RQVFREREdHpisF3gqVLlzo7hA56\n9uwpIzhC3AV+tERHKbUHCOrkpf9x7QOttVZKdVU/i9BaFyul+gF7lVIZWuu8Tu61BFgCtFvwS9yc\nLsnF/tlqsDZz6Uoj6lw2AYlLMcWOo7S0lMuXLxMZGYnFYsHHxweLxcKpU6fw9/enuLiYoUOHMnfu\nXPbu3Utubi7QWh4JDg5mypQpeHt7s2PHDhITE+nbty9ubm4UFxeTm5vLQw89RHx8PE1NTXz00UdE\nRkbeMNagoCDOnDmDv78//v7+RjOt3W5n8eLFnD17lv379/PAAw+wdu1aRowYwYoVK7h06RK//vWv\nGTp0KDabjcuXL/PUU09hNptZuHAhAwcOpL6+nqysLF588UWjRJWens4DDzzAqVOnjFEos9nMO++8\nw8MPP8xbb73F66+/jikoiB73P4pvtw18mfYN8fHx5OTkAK19KUVFRUyaNKnde7FaraSkpBgzd/z9\n/cnKysLV1RWtNSNHjuQXv/gFGRkZWCwW0tLScHV1JSoqij//+c/4+/vTvXt3amtreeqppwgLC2Pd\nunUkJCTg6+vL8ePHsdvtaK2xWCzG6JgjffLJJ8aoU2NjI+7u7h0Sg+rqav76178SEBCAzWYjIiKC\n2bNnU1NTw4YNG1ixYoXD4xJCiGv9aImO1rrLuZdKqYtKqT5a6wtKqT5AWRfXKL7673NKqRRgBNAh\n0dFavwm8Ca09Og4I/55hP7EPrK3Nl802Ozuzcrmc9f+RHTOKPoG9CHP3ZuTIkfTs2ZOtW7eSk5PD\npEmTaGxsJCQkBKUUJpOJIUOGkJ6ejqurK0op4uLiOH78OLGxsWzcuJHy8nJOnjxJUFAQjz32GNu2\nbcNut/M//+f/xGw239IU9pMnT1JQUMCBAwcYNWoUffr0oaKigtjYWAD69OlDdXU10dHR+Pv7c/bs\nWV599VXc3d3x9PTEz8+Py5cvM2bMGN5++228vLwIDQ2lrq6OoqIiamtr+eyzz+jTpw8uLi588MEH\nWCyWds2069atY+7cuUyZMoWhQ4eyatUqXnnlFT7++GNKSkro0aMHPXv25Pz586xZswalFBMnTqRX\nr17t3kvPnj3bNSVHRESgtWbbtm0cPXqUOXPmUFxczMCBA/n666+5ePEiEydOZNKkSezdu5fKykqC\ngoJwdXVl69atLF++3LjWoEGDyM/P57XXXkMpRVRU1C2tmfNdPfHEE8bPu3bt6rInyt/fn2XLlmG3\n2/n73/9Odnb2HVMyE0Lc/ZxVutoMPAf84eq/N11/gFLKD6jXWjcppQKA+4E/3tYo7wXXzDYK9vXg\nhbEDKPTw5t8Hx1HWYuPIZ19QU1OD2WQiNDQUpRRz587l/Pnz7Nu3j0WLFgGtvTC9e/dmxowZ/O53\nvwNg0aJFVFVV0atXL5YtW2Y0+/bs2ZPAwEBefPHFTkOKj48HMKZhr1ixgqSkJEaMGEFUVFS7Ztoe\nPXoY5R+TyYTdbgegb9++jB071hglaktsLl++zMiRI43m3g0bNjB27FiampqYM2cO8+bN6/Kjam5u\nxsXFhZdffpkPPviAl156CYvFgsVi4eTJk+Tn5xufUXh4OE8//TSrVq3i0qVLvPrqq8C3M9mUUkye\nPJlnnnmGkpISDh06xJgxYwgKCuLVV1+ltLTUWDNnyZIlpKSkUFtbi6urK2PGjDGapq1WK//xH/9h\nxHh9GS8iIgKr1UpSUpJRxps+fTqRkZGcOHGCnJwcWlpaqKysJDY21ugbysvLY9++fdhsNvz8/EhM\nTOzQ8NxGa01WVhbPPfdcl59d2+8nLCyMysrKdonOiRMn2jVcb9iwgQkTJhAeHs7mzZuNKfQjRoxg\n/PjxN7yHEEJcz1nr6PwBmKaUOgtMvfoYpdRopdRbV4+JBdKUUieBfbT26HRctEP8IKYRU8Dl2y+w\nJpOJXUGt5b+L5wpwDe/NrOcX8PLLL/PLX/6SHj16UFBQAEBxcTFVVVVorcnMzDTKhlprY+2UjIyM\nDuXEgIAA6uvrKSwsBFqnQpeVdTqo18GWLVtYs2YNb7zxBrGxsV1O6Y2IiCA9PR1o3fSxpqbGWP22\nM6GhoRQWFhq9NM3NzR2agbOzswkNDTWm4R8+fBh/f38AMjMzmTBhAr///e+prq6muLjYuE5wcDAr\nV64kNDSU06dPA637MZWXl2Oz2fjggw+IjIzk+eefZ8CAARw4cKDDmjldycnJaTda1FbGmzFjBvv3\n7wfg6NGjKKVYsWIF8+bNIykpqV1f0rx581ixYgWZmZnU1NRQX19PamoqCxcuZOnSpQQHB3Po0KEu\nYygoKMDLy+uGny+0Tu8+d+5ch9GtrpSWllJbW8uKFStYsWJFh20hhBDiVjhlREdrXQFM6eT5NODF\nqz8fBIbc5tDuOSooEtO8X2E/uh1bSxN/d+/GiR6tja6V5wqIGB5Ho63FOH7QoEFkZGQQFxdHSEgI\n27dvp7KyksjISKOE1NaHk5qaiqenZ4dRErPZzPz5840F4+x2O+PGjbulL8Drm2nz8jpUMgEYM2YM\nW7du5bXXXsNkMpGYmNhu1eHreXp6kpiYyMaNG431ZyZPntzuyzszM5Nnn32WXbt2kZeXR0ZGBv/8\nz/9Mc3MziYmJPP/880DrAnapqamtn+/VMh5AbGwsycnJQGtilZuby//5P/+HrKwsWlpaePvtt6mt\nrcVisVBWVobJZOLhhx/uNN7k5GRSU1Px8PBg7ty5xvPXl/HgxjO6IiMjjZJTYGAgNTU1NDY2Ul5e\nzttvvw20JqI3Ki22/ffQlcrKSmP9moEDBxIdHX1LC+z5+flRVVXF9u3bGTBgAP3797/pOUIIcT3Z\nAkKggqMwJ/4DJq259M1OzPXV2LQmZuaDuJtd6e/z7Qyfti9Mi8VCt27dWLBgQafXnD59eofn2hZ4\ng9bG4rbEoCttJazrz71WW+kMWstCL7/8MtA6a6uzc4YPH95u5d1r44+MjGTJkiXGY7vWfJr/Dfsv\nnMXW1EzN8cOMLO2HyWQiKCgIpRR9+vTh/PnzHD58GHd3d5566imCg4N56KGHOtw7PDyc++67z4jv\nkUceoWfPnmzZsqXLMl5XEhISOp2m31kZ70auTf7aztFa069fvxuW8drY7XZOnz59w1lTbT06Xbl2\nKwv4dmXl7t27s3z5cnJzc0lLSyMrK6tdUieEELdCtoAQBqUUL8c9xADf3ni4uBLs4cuvhk7Bx627\ns0Nzij3Fp0kpOUOTzcqFvPNUB3ow8smHOy3jQWuD8e0s492qH6OM1+bcuXMEBAQYq1B/Hz169KC0\ntBStNTU1NUbZr76+Hq01gwYNYvLkyTct4wkhRGdkREe04+3mzstDJt/0uLaNKzvz29/+1sFROcfx\nS4U021vLWJXnCggaEsPxS4XEBw8A2pfxxo0bR3l5OX/9619vWxnvVv0YZbw2mZmZDBnywyrM+T9c\nygAAIABJREFUYWFh9OjRg1dffZWAgACjUbm2tpZNmzYZoz1tqzsLIcR34ZQtIH5MsgWEcJRXs/aT\nUVlM2/8hCsXowHBeHHh/u+MsFgsHDx7stIy3atWquybxE0LcuWQLiK5J6UqILjwWOZxuZhdclAkX\nZcLd7MLciKGdHvvVV1/x/vvv3+YIhRBC3IyM6AhxA5WNdRyvKEQBowLC6dGt467YAF9//TXQWiYS\nQojbTUZ0uiY9OkLcgL+7J1NDBt70OElwhBDiziSlKyGEEELctSTREcIB3n33Xd59911nhyGEEOI6\nUroSwgEGDx7s7BCEEEJ0QhIdIRxg1KhRzg5BCCFEJ6R0JYQQQtxmq1atuukxhw8fpqWl5abH3Sql\nlIdS6n8ppW7L7Cyl1Ail1Aql1PKr/77hzA6lVLxSasLVnwOUUsuu/uOvlPr5941DRnSEcIB169YB\n7ffeEkKIH+Lw4cMMHToUV1dXR11yMFBE64bZP+o6LEopH2AS8IbWulEp5QZ4fodLDAROaa1Trz7+\n2/eNRRIdIRzg2o1ChRDiVlksFlJSUvDw8KCsrIw+ffrw2GOPcfToUS5fvsy6devw8PBg0aJF5OXl\nsW/fPmw2G35+fiQmJmK321m7di1c/T5XSs0D8rXWxzq5XRywC3hcKeWjta69es4IYCLQCFwErFrr\n7UqpROCM1vrU1eN+q7VedTVpeQpwB8zAXq119nX38gSagGYArXVz289KKX9g1tVjWoDNWutLbScq\npaKBcYBWSvXTWq9ru/fV1++nNWkzA9la6303+owl0RHCASTREUJ8XxcuXGDlypV4e3vzt7/9jcLC\nQsaOHcuhQ4dYtGgRHh4e1NfXk5qaysKFC3Fzc+PAgQMcOnSIBx98kFmzZvEP//APPZRScYB7Z0mO\nUsoX8NZaFyulsmhNeg4qpbyBeOBNWhOdRcDNdtC1Ah9qrZuUUh7Ai0qpHN1+BeKLQB3wj0qpfOC0\n1jrn6mtzgK1a6wqlVCgwG/h724la67NKqTSgWWt98Lr30R/wB9ZefeoppVSE1vp8V8FKoiOEA7Rt\nfmk2m50ciRDiTlZVVUVjYyPNzc3GcyEhIfj4+AAQFBREdXU14eHh7c4rKiqivLyct99+G2j9Myc0\nNBSA/v37Q+vIyGzg9S5uPRjIuvpzJjAXOAiEABatdR2AUioT6LiDb3sKmKKUigA04EPr6MyVtgO0\n1nal1HtAMNAPmK6U6nP1nmHAE0qptsO/Sy7S/+o/S68+drsaryQ6QvyY1q9fD0iPjhCiaxkZGRQV\nFaGUIj8/n5KSEgBcXL79KjaZTNjt9g7naq3p168f8+bN6/Q1Wr/PW4DuQG0ntx8CeCmlhlx97K2U\nullCY6c1qUG1ZiVtf5MbQmti86bW2qaUeplO8omrIzzFQLFSKg9IBA4BjVrrNTe5d1cUcEBrfcs9\nRjLrSggHGDlyJCNHjnR2GEKIO1RVVRVFRUXYbDasVitaa06cONFpUtPGzc2NpqYmAEJDQyksLKSy\nshKA5uZmKioqADh06BC0lpM+BeYqpdoNLV9NaNy01v+ptV6ttV4NHKC1fFUM9L06I8tM68hPm2pa\nR2QAYvg20XEH6q4mOZFAj+tjV0p5Xx3BaRMEVGutm4AqpdTgq8cppVTQjT676+QCI672CaGU8lFK\n3bDJWUZ0hHCAoUM739VcCCEAGhoauKZUY7jR9PFRo0bx3nvv4e3tzaJFi0hMTGTjxo1GqXzy5Mlo\nrTl+/DhArdb6vFLqPK2zna5t0B0CnL7u8qeAJ7TW+5VSKcDPae3RKb3mmOPAk0qp5bQmGG31tnRg\ngVJqBVACXKIjM5BwtQfICtQDW6++9hkwWyk1idYBl8zr7tslrXWeUiqQ1r4grsb0Ga39QJ2S3cuF\ncIC2P6wcOA1UCHEXuXLlCqmpqe1GcLp168bUqVM7TYC+K0ftXq6UGg4Ea623/+Cg7hAyonOXy87O\n5sMPP+Sll14iICDge18nKSmJAQMGMGjQoFs6Pi0tDVdXV4YNG0ZSUhIWiwV3d3eUUsyaNYuwsDDW\nrVtHQkICwcHBN7+gA5SWlrJ161asVismk4nZs2cTEhLikGu///77gPToCCE65+XlxbBhwzh58iTQ\n+peisWPHOiTJETcmic5dLiMjg/DwcDIyMnjooYdu231Hj27/F4uEhAQGDRpEXl4eW7duZfny5bct\nlja7d+/mwQcfJDo6mrNnz7J7926HJSbXv18hhLheSEgIffr0oaWlBTc3tzsyydFanwBOODsOR5JE\n5yfuRiM2zc3NFBQUsGjRIjZs2GAkOhaLhX379uHm5kZlZSWRkZG0tLQQExNDUlISI0eOJC8vDy8v\nL+bNm4enZ/s+r5KSEtasWYPWmgEDBuDi4sLFixfbjdjk5eWxe/duVq5c2e7ciIgIo5kOICsri23b\nttHY2MgjjzxCREQEVquVrVu3UlJSgslkYvr06URGRnLixAlycnJoaWmhsrKS2NhYpk2bBkBeXh5/\n+MMfCAoKYsiQISQmJrJz50569uzJ/fffb9yvrbGvsbERb29vh/0e4uLiHHYtIcTdy2Qy0a1bN2eH\ncU+RWVc/cdeO2FwvOzubqKgoevbsiYeHhzGVEaC4uJhZs2axcuVKKisrKSoqAlqTo+DgYFauXEnf\nvn3Zv39/u2vabDZ27NjBr3/9a/7t3/6NESNGkJ6eTkJCAsuWLWPq1Kls3bqVruTk5NCrVy/jsd1u\nZ/HixcyYMcO419GjR1FKsWLFCubNm0dSUhJWqxVoLT/NmzePFStWkJmZSU1NjbGQ1v/+3/+bnj17\n0rNnTzZt2kRxcTHjx4837jVjxgx2797Nn/70J5KTk5kyZcr3+MQ719jYSGNjo8OuJ4QQwjFkROcn\nrLMRG601u04eYd++fZScOku/4DDMZjODBw8mMzOTdevWERISQnZ2Nps3b2bevHkMGTKEzz//HACl\nFP7+/rzzzjtUV1eTnp7OAw88YNyzoqKCsrIy/uVf/gWz2UxkZCQNDQ3G652N2CQnJ/Puu+8yatQo\nwsLCmD17NklJSezdu5eBAwcyYMAA+vTpQ2ZmJh999BGpqakEBATg4eHBtGnT8PX15dixY2zbto1L\nly6xefNmEhMTCQwMpKamhsbGRsrLy/nss88oLCwkO7t1JfLf/OY3mEzf5vJpaWlMnz6dQYMGkZWV\nxebNm1m4cKFDfhcffvghID06Qghxp5FE5yfs+hGb4uJidl628GXuN5zKOIa22fHQgXzwwQdGbbip\nqYlevXoxZcoUY8SmT59vlzqw2+3s2LGDBQsW0NzczJ/+9Cf27t1rvK61JjAwkPHjx+Pm5saECRNI\nSkoyXu9sxCYhIYFu3bpRXl7OwoULOXjwIEopJk+ezOjRo0lKSuLnP/85WmtKS0sZO3Ys48ePZ+vW\nrdx33300NTVx6NAh5syZQ3l5OT4+Phw6dMhYWOvahbRsNhuvvPIK4eHhREREtPu8Tpw4wYwZMwAY\nNGgQmzdvdtjvYuzYsQ67lhBCCMeRROcnJrOyhIIrVQS6e5KTkcH4ceOA1h6RL74+xIlAG812GzZt\nJzC2H+aJI/iF++NUX6rkwoULFBQUEBMTw7Fjx4iPj2fnzp1UVFQQGBgIQH19PVlZWaxfv56zZ8/S\n0NBAbW2t0c8SEBBAfX09ZWVlhIaGYrPZqK6uJjk5mdTUVDw8PJg7dy6nTp0CIDY2luPHjxMQEMDZ\ns2cBKCgoYOzYsezfvx9/f398fX2Nha8iIyMJDAzk1KlTBAYGYrFYKCgowNfXl6SkJGpqaoiNjTWW\nPofWhbS2b99OZWUljY2NtLS0YLFY0Fq3a/bz9vbm/Pnz9O3bl/z8fPz9/R32e4mNjXXYtYQQQjiO\nJDo/IZ/nn2BvSQ4tdhumFjtFR/dTdvGiMbJxob4W9VDr9O+68kqiEyZiVopGW2t/y6BBg9izZw/Q\n2v2/e/duUlJSePbZZ/Hy8gJapzy2tLRgt9sZOnSo0YzcNmpjNpuZP38+//Vf/8XRo0f55ptvaGxs\nZObMme2mnrclOm1Lm3e1rPn1XFxcGDNmDFu3buWLL77g/PnzTJ06laqqKqKiojh79izFxcUkJCTw\n+eef09jYyNq1a5k8eTLr16/nk08+YcaMGXh7e/P1119z3333Gdd+5JFH2LFjB3a7HRcXF+bMmfOd\nfwfXTpu/1s6dO/nyyy/51a9+ZSRQhw8fZufOnSxZsoTg4GDef/99Hn/8cdzd3dudu3r1avr06cPP\nfvYz47M7c+YMiYmJXcZhsVgwm82EhYXdcuzFxcVs2bIFaB2Zi4+PlwRNCHHXk0TnJ6KupZndxdnY\ndGuyUHruPPZgPx5b/Bx9vVu3K3l17RscLS0HwDsokO6+3nQ3u3I+5yxjRo9h0KBBxtTqbt260b9/\nf0JDQ5k1a5aRyHh4eBAUFMScOXMICwvDZrNRVlbW7ks3KCiImTNndlq6ahMfH4/FYgEgMTGR+vp6\nvvzyS6C1jyc9PZ1FixZRUVFBTU0NYWFhPP3005SUlODi4mKcM2HCBAIDA3nzzTeZPHkyw4cPJyUl\nhc8++4ynn36aLVu2MGrUKIYNG0ZzczNhYWE89thjXL58mbfeeovBgwcbs8bCw8NZunRph1i/i66m\nkaekpFBSUkJmZiaTJk0CWvuTri3jPf30011e98KFC5SXlxsjazdjsVhwc3P7TolOr169WLJkCSaT\nicuXL7NmzRpiYmLa9TEJIcTdRhKdn4gGWzNmpbBdXci68lwBfYfHUW/9dgfc0UOHY84/Q1q3K3gG\n+lN9LJsojyB6xsQaf3N3c3OjtLSUlJQU4uPjO2wQZzKZmD9/Pjt27KCxsRG73c64cePafWH/UG0j\nNq+99homk4nExMR2m9pdz9PTs93S53a7nfLycg4fPkxBQQGzZs2irq6OPXv2GKMlNpuNS5cu8U//\n9E8MHz7cWKRQa83u3bvJzc0FYNKkScTFxRlT7t3d3SkrK2Pw4MH06tWLI0eO0NLSwpNPPom/vz8p\nKSlGgnetQYMGERsbS3Z2NpMmTaKyshJ3d/d2u5mvXr2aJUuW4OHh0eE9jh8/ntTUVB5//PF2zzc0\nNLBp0yaqqqpwdXVlzpw5dOvWjbS0NJRSpKenM3PmTAICAti6dSs1NTVA6wyz63c/vnbV5rZZbEII\ncbeTROcnwr+bB96u7lQ21aPRxMx8kO5mV8K9vu0zGTt2LGPHjsVisXCg3ptnnn6m02s999xzPPfc\nc+2eaxuxaSs/Pf/88zeMJz4+vsO517t2BpKHhwcvv/wygDFic73hw4czfPhw4/GCBQuMnyMjI1my\nZInxODc3l/fee49nn30Ws9mMp6cny5cvZ8OGDUBrcvS73/0OFxcXKioq+PTTT1myZAmnT5+mtLSU\nZcuWUV9fz9q1a42m5YsXL7Jy5Uq6d+/On//8Z0aOHMnixYs5fPgwR48eNRqZOxMeHo6bmxuFhYWU\nlZWRnZ3N4MGDOXHi1tbdGjx4MF9//XW7GWsA+/btIygoiCeffJL8/Hw+//xzli1bxujRo9slXJ9+\n+injx48nPDycmpoa1q9fz0svvdThPkVFRWzatImamhoeffRRGc0RQtz1JNH5iTApE78cOoU3Tx+g\npK4av26evDjwfrxcO194yqTu7i+w3NxcvL29KSsro3///h1et9lsbN++ndLSUkwmk9HsXFBQwJAh\nQzCZTHh5eREREUFJSQndunUjODjYaLr29/c3rtu7d2+jDNeVhoYGrFYrcXFxZGZmkpuby3PPPXfL\niY7JZOL+++/nyy+/JDo62ni+oKDA6N2JjIykvr7eWPTwWufOnaO8vNx43NTURHNzM25ubu2OCw0N\nZeXKlZSXl5OUlER0dPQNR9OEEOKnTv6E+wkJcPfityO6HlVo07dvX/r27dvpa7/97W8dHNWPz25r\noSYvhcaqAkwu3Wj0iiUvL48XX3yRt99+m7i4uA6rHB8+fBgvLy+WL1+O1prf//73N73PtV/4Sinj\nsVLqpo3U+/fvx2w286//+q8kJycTHBz8nVc/HTp0KF9++eX3KhNqrXnxxRdvOWkJDAzEzc2NsrKy\n27bXmBBCOMPd/dd+cVeoPvsFDZfy0NZGrA3VfLJuNVMeHIuvry8TJkwgOTm5wzmNjY14eXmhlOLk\nyZNGohIREUFmZiZ2u526ujrOnz/vkI09hwwZwrBhw3B1dWXatGlGQ/J3YTabGT9+PIcPHzaea2vc\nhtYGZA8PD7p164abm1u7kZ3+/ftz5MgR43FpaWmH61dVVRmfQ3V1NZcuXaJHjx7fOU4hhPgpkREd\nccdrrLKAtgGQkVOIt6c7oX6t/+mOGTOGEydOYLFY2n1pjxkzho8//piTJ08SFRVllHAGDhxIYWEh\na9asAWDatGl4eXlx6dKlHxRjSEiIcY8fsu/ViBEjSE1NNR7Hx8ezadMmXn/9dVxdXXn00UcBiImJ\n4eOPPyYnJ4eZM2cyc+ZMtm3bxuuvv47dbiciIoKHH3643bULCgo4cOAAZrMZpRSzZ8/utDFaCCHu\nJkpr7ewYHGr06NE6LS3N2WEIB7pw5C209Zq+FJMLvpET8Qwa7LygrtM228nX19fJkQgh7kVKqWNa\n687Xv7jHSelK3PF8IiagTFcHH5UZs2t3ugdE3/ik2+zzzz839gsTQghx55DSlbjjeQYNwsXdh8aq\nAsxu3fHoPQiTi9vNT/yesrOz+fDDD3nppZcICAi4pXM668lJSkpiwIAB7VaMvpFrV11OSkrCYrHg\n7u6OUspYB2jdunUkJCTctgbiTz75xJix1tjYiLu7O8uWLbst9xZCCEeQREf8JHTrEUq3HqE3P9AB\nMjIyCA8PJyMjg4ceeuiWzunXr98Pvu/1qy4nJCQwaNAg8vLy2Lp1K8uXL//B9/iunnjiCePnXbt2\nddi+Qggh7nSS6AhxjebmZgoKCli0aBEbNmwwEp22lZPd3NyorKwkMjKS2bNno5Ri1apVREdHY7FY\n6NWrl7E/2LVKSkrYtWsXzc3NeHh4kJiY2GFKfFerLkdERLRbSDArK4tt27bR2NjII488QkREBFar\nla1bt1JSUoLJZGL69OlERkZy4sQJcnJyaGlpobKyktjYWKZNmwZAXl4e+/btw2az4efnR2JiYod1\nd9porcnKyuqw0KQQQtzppEdHiGtkZ2cTFRVFz5498fDwoKSkxHituLiYWbNmsXLlSiorKzl9+jTQ\nmhxlZ2cTGBhI37592b9/f7tr2mw2duzYwfz581m6dCkjRoxg7969txxTTk5Ou7V17HY7ixcvZsaM\nGca9jh49ilKKFStWMG/ePJKSkoxtHkpLS5k3bx4rVqwgMzOTmpoa6uvrSU1NZeHChSxdupTg4GAO\nHTrUZQwFBQV4eXnRs2fPW45bCCHuBDKiI+5pWmsyKksoqa8hqLs3WRkZjBs3DsBY5bitHyYkJAQ/\nPz+gdd2cgoICBg0ahFKKp59+GpPJhK+vLx999FG7e1RUVFBWVsb69euB1kTl+tGcziQnJ5OamoqH\nhwdz5841nm/bt6xPnz5UV1cDrYnI2LFjAQgICMDX19forYmMjDRKToGBgdTU1NDY2Eh5eTlvv/02\n0JqMhYZ2XRrMyMj4QdPmhRDCWZyS6CilngD+FYgF7tNadzofXCk1A/gzYAbe0lr/4bYFKe4JH+Ud\n46uL57DabdBioyztS8rKyozVkJVSRqnnRvr27YvJZKKqqqrDa1prAgMDefHFF79TbG09OtdrW/3Y\nZDLddMXma4+/9hytNf369euwqWtn7HY7p0+f/sE7vwshhDM4q3SVCTwGpHZ1gFLKDLwKzAQGAU8p\npW5t+ooQt6CqqZ4vS3Nptluxo7l47jyNQb48tfTnvPzyy/zyl7+kR48eFBQUAK2lq6qqKrTWZGZm\nGruDa6356quvuHTpktHIfK2AgADq6+spLCwEWkdPysrKHPperl1BuaKigpqamhuWmUJDQyksLDR6\nf5qbm40RoOudO3eOgIAAfHx8HBqzEELcDk4Z0dFan4bWPYRu4D4gV2t97uqxHwJzgVM/eoDinlBv\nbcZsMmG1tY6KVJ4rIGJ4HHXXLE44aNAgo2wTEhLC9u3bjWbkthKSm5sbSUlJrF27lilTpnQYJTGb\nzcyfP58dO3bQ2NiI3W5n3Lhx32tPq66MGTOGrVu38tprr2EymUhMTLzhvleenp4kJiayceNGbLbW\nVacnT57caXKUmZnJkCFDHBarEELcTk5dGVkplQL8U2elK6XUPGCG1vrFq4+fBcZqrV+60TVlZWRx\nq1rsNn57dBO1LY3Gc54ubqwaMxd3F9d2x1osFg4ePMiCBQs6XGfVqlU8++yzAISFhf24QQshRCdk\nZeSu/WilK6XUHqVUZif/zL352d/5XkuUUmlKqbTy8nJHX17cpVxNZn41dCrBHr64KBO9u3vzq6FT\nOyQ5tyIsLEySHCGEuAPdySM644F/1VpPv/r4NwBa63+/0TVlREc4Q1vPjSPLUUIIcatkRKdrd/I6\nOl8D0UqpSKWUG/AksNnJMQnRqe3bt7N9+3ZnhyGEEOI6zppe/ijwFyAQ2KaUOqG1nq6UCqZ1Gvks\nrbVVKfUSsIvW6eVva62znBGvEDdzK1PQhRBC3H5OLV39GKR0JYQQ4l4jpauu3cmlKyF+MkpLSykt\nLXV2GEIIIa4jiY4QDrBz50527tzp7DCEEEJcR/a6EsIBZsyY4ewQhBBCdEISHSEcICgoyNkhCCGE\n6ISUroRwgOLiYoqLi50dhhBCiOtIoiOEA+zevZvdu3c7OwwhhBDXkdKVEA4wa9YsZ4cghBCiE5Lo\nCOEAsvWDEELcmaR0JYQDFBYWUlhY6OwwhBBCXEcSHSEc4IsvvuCLL75wdhhCCCGuI6UrIRzg4Ycf\ndnYIQgghOiGJjhAOEBAQ4OwQhBBCdEJKV0I4gMViwWKxODsMIYQQ15FERwgHSElJISUlxdlhCCGE\nuI6UroRwgLlz5zo7BCGEEJ2QREcIB/Dz83N2CEIIITohiY4QDnDu3DkA+vXr5+RInOfKlSvs2rWL\noqIi3N3dMZvN3H///cTGxlJSUsLJkyeZOXPmbY+rqKiIHTt2YLPZsFqtxMXFER8fz6VLl0hKSuLC\nhQtMmTKFCRMmGOfk5uayY8cOtNaMHDmSiRMnArBu3ToSEhIIDg6+7e9DCPH9SKIjhAOkpqYC926i\no7Xmww8/ZPjw4Tz++OMAVFdXk5OTA0BwcLDTkoPPP/+cJ554gqCgIOx2OxUVFQB0796dmTNnkp2d\n3e54u93Otm3bWLhwIT4+Prz55pvExMQQGBjojPCFED+QJDpCOMCjjz7q7BCcKj8/H7PZzOjRo43n\nevTowdixY4HWWWkHDx5kwYIFNDQ0sGnTJqqqqnB1dWXOnDn07t2blJQUampqqKqqoqamhnHjxhnn\np6enc+TIEWw2GyEhIcyePRuTyUReXh779u3DZrPh5+dHYmIibm5u7WKrq6vD29sbAJPJZCQsnp6e\neHp6cvbs2XbHFxcX4+/vb5Qj4+LiyM7OlkRHiJ8omXUlhAP4+vri6+vr7DCcpry8nD59+tzSsfv2\n7SMoKIjly5czZcoUPv/8c+O1S5cu8cwzz7B48WJSUlKw2WyUl5eTmZnJCy+8wLJlyzCZTGRkZFBf\nX09qaioLFy5k6dKlBAcHc+jQoQ73Gz9+PH/5y1/48MMPSUtLw2q13jC+y5cvt/td+vj4cPny5Vv8\nJIQQdxoZ0RHCAXJzcwGIiopyciR3hm3btlFQUIDZbGbJkiXtXisoKOBnP/sZAJGRkdTX19PU1ARA\ndHQ0Li4uuLi44OnpSV1dHfn5+Vy4cIG1a9cC0NLSgqenJ0VFRZSXl/P2228DYLPZCA0N7RDLgw8+\nyJAhQ8jLyyMjI4PMzEwWLVr0I757IcSdRBIdIRzgwIEDwL2V6Ght50rxCZovX8C9qZ7i4mrjtdmz\nZ1NfX8+bb775na7p4vLtH0kmkwm73Y7WmmHDhjF16tR2x+bk5NCvXz/mzZt30+v6+/vj7+/PqFGj\n+OMf/0h9fT0eHh6dHuvt7U1NTY3xuLa21ih9CSF+eqR0JYQDzJs375a+cO8mVTnJXCn8mqZKCwHm\nS1RbjnL0yGHj9ZaWlk7Pi4iIID09HWjt3fHw8KBbt25d3qdfv36cOnWKuro6ABoaGqiuriY0NJTC\nwkIqKysBaG5uNhqNr3XmzBm01gBUVFRgMplwd3fv8n4hISFUVlZSVVWFzWYjMzOTmJiYm3waQog7\nlYzoCOEAXl5ezg7htrI119NYmQ/aDoDCziPxQ0jLOcnBQ4fx9PTE1dW1wygMQHx8PJs2beL111/H\n1dX1po3cgYGBTJ48mfXr16O1xmQyMXv2bEJDQ0lMTGTjxo3YbDYAJk+eTM+ePdudn56ezq5du3B1\ndcVkMvHYY49hMpm4cuUKb775Jk1NTSilOHz4MCtXrqRbt27MmjWL9957D7vdzogRI+jVq5dxvfff\nfx+z2QxAaGgo8+fP/0GfpRD/r717D7G0ruM4/v44zqptlpVi5S5drbRh22oRwy54qdYSxSjY2Bai\nQAIFgyASoYiIAiH6oyCioj9ckqSEUPNSGirU6u42rrONhl1VsjXC0hIv67c/zjPLtOz1zFl/c57z\nfsEw53nmDHy+zMw53/k9v9/z05GVhf90+mLdunW1devW1jE0YRaWUU/Kf/67n36Sv2+7Gmr3nnOZ\nmublbzmfY05Y3TCZNJmSbKuqdQd/5uRxREcagYXVPpPS6By1YiXTK0/k2f881o3qhEytYPr4k1tH\nk6T/Y6MjjcCkXb5IwiveeiH/+tNdPPvEo0wd91JOeP37OGpqxcG/WZJeQDY60gjsbwVPnx119Ape\nduo5rWNI0gG56koagfn5eebn51vHkCTtxREdaQS2bNkCwGmnndY4iSRpMRsdaQQ2bNhpuikEAAAF\nxklEQVTQOoIkaR9sdKQRONAN6CRJ7ThHRxqBubk55ubmWseQJO3FER1pBBZuUjkzM9M4iSRpMRsd\naQQ2btzYOoIkaR9sdKQRmJ6ebh1BkrQPztGRRmDHjh17duSWJC0fjuhII7B9+3YA1qxZ0ziJJGkx\nGx1pBDZt2tQ6giRpH2x0pBGYmppqHUGStA/O0ZFGYHZ2ltnZ2dYxJEl7sdGRRsBGR5KWp1RV6wwj\nleQx4C/7+fKJwD9ewDhHkrUsP32pA/pTS1/qgP7U0pc6YHnV8pqqOql1iOWod43OgSTZWlXrWucY\nBWtZfvpSB/Snlr7UAf2ppS91QL9q6TMvXUmSpN6y0ZEkSb01aY3Od1sHGCFrWX76Ugf0p5a+1AH9\nqaUvdUC/aumtiZqjI0mSJsukjehIkqQJMnGNTpKvJNmRZDbJLUle3TrTsJJcleT+rp7rkpzQOtMw\nknwsyc4kzycZyxUMSdYneSDJg0m+0DrPsJL8IMmuJHOtsyxFktVJbk/yu+536/LWmYaR5Ngkdye5\nt6vjy60zLVWSqSS/TXJ96yxLkeTPSe7r3ku2ts6j/Zu4Rge4qqrWVNVa4Hrgi60DLcGtwExVrQF+\nD1zROM+w5oCPAHe0DjKMJFPAt4HzgdOBjyc5vW2qof0QWN86xAg8B3yuqk4HzgQuHdOfydPAOVX1\nNmAtsD7JmY0zLdXlwHzrECNydlWtdYn58jZxjU5V/XvR4UpgbCcpVdUtVfVcd/gbYFXLPMOqqvmq\neqB1jiU4A3iwqv5YVc8A1wAXNc40lKq6A/hn6xxLVVV/q6rt3eMnGLyxntI21eGrgSe7w+nuY2xf\ns5KsAj4MfK91Fk2OiWt0AJJ8NclDwEbGe0RnsU8BP28dYkKdAjy06PhhxvBNta+SvBZ4O7ClbZLh\ndJd6ZoFdwK1VNZZ1dL4JfB54vnWQESjgliTbklzSOoz2r5eNTpJfJJnbx8dFAFV1ZVWtBjYDl7VN\ne2AHq6V7zpUMhuo3t0t6YIdShzRqSV4M/AT47F6juWOjqnZ3l9pXAWckmWmdaRhJLgB2VdW21llG\n5N1V9Q4Gl6wvTfLe1oG0b0e3DnAkVNV5h/jUzcCNwJeOYJwlOVgtST4JXACcW8v4XgGH8TMZR48A\nqxcdr+rOqaEk0wyanM1V9dPWeZaqqh5PcjuDOVTjOFn8LODCJB8CjgVekuTqqvpE41xDqapHus+7\nklzH4BL2WM4z7LtejugcSJJTFx1eBNzfKstSJVnPYBj4wqr6b+s8E+we4NQkr0uyAtgA/KxxpomW\nJMD3gfmq+kbrPMNKctLCasokxwHvZ0xfs6rqiqpaVVWvZfA3ctu4NjlJViY5fuEx8AHGs/mcCBPX\n6ABf7y6Z7GDwyzmWy0473wKOB27tljh+p3WgYSS5OMnDwLuAG5Lc3DrT4egmhF8G3Mxg0uuPq2pn\n21TDSfIj4NfAm5M8nOTTrTMN6SxgE3BO97cx240kjJtXAbd3r1f3MJijM9bLsnviZOCuJPcCdwM3\nVNVNjTNpP7wzsiRJ6q1JHNGRJEkTwkZHkiT1lo2OJEnqLRsdSZLUWzY6kiSpt2x0JB2SJLu7Zdpz\nSa5N8qLu/CuTXJPkD93t8G9M8qbuazcleXzcd6qWNL5sdCQdqqe6nZpngGeAz3Q35rsO+FVVvaGq\n3glcweA+IwBXMbifjSQ1YaMjaRh3Am8Ezgaerao9N6usqnur6s7u8S+BJ9pElCQbHUmHKcnRDDYy\nvA+YAfqySaOkHrLRkXSojksyC2wF/spgLylJWtZ6uXu5pCPiqapau/hEkp3ARxvlkaSDckRH0lLc\nBhyT5JKFE0nWJHlPw0yStIeNjqSh1WBX4IuB87rl5TuBrwGPAiS5E7gWOLfbDf2D7dJKmkTuXi5J\nknrLER1JktRbNjqSJKm3bHQkSVJv2ehIkqTestGRJEm9ZaMjSZJ6y0ZHkiT1lo2OJEnqrf8BN1L/\nNh7vN+sAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1132f2890>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_new_pca.iloc[:, :2].plot(kind=\"scatter\", x=0, y=1, \n",
" figsize=(8,7), c=brands, cmap=mpl.cm.Set2, colorbar=None)\n",
"plt.axhline(0, c=\"gray\", ls=\":\")\n",
"plt.axvline(0, c=\"gray\", ls=\":\")\n",
"plt.xlabel(\"PC1\")\n",
"plt.ylabel(\"PC2\")\n",
"for label, (x, y) in df_new_pca.iloc[:, :2].iterrows():\n",
" plt.text(x, y, label, alpha=.5);"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"df_new.columns = columns_old\n",
"df_new_pca.columns = [\"PC\"+str(i) for i in range(1, 8)]"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df_new_drop = pd.concat([df_new.iloc[:, :7], df_new.iloc[:, 9:]], axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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GGj3mUKztD5z5N4RerSoliHm3ejF+3WmdXt3LevToIfN/nsenXbslmmeIMXA2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\nbDxBAX6FbJFr36Ej7Ik8zNwlK7mcnmHOXMmN5x//vxLJNnf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M0+cvcO5CDIYAP37ftI0p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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11210d590>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(pd.concat([df_new_pca, df_new], axis=1).corr().iloc[7:, :6].round(3),\n",
" annot=True)\n",
"plt.title(\"PC loadings\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## New + Old data"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"pca2 = PCA()\n",
"df_full_pca = pd.DataFrame(pca2.fit_transform(scaler.fit_transform(df_full)))\n",
"df_full_pca.columns = [\"PC\"+str(i) for i in range(1, 8)]\n",
"df_full_pca.index = df_full.index"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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NyzM+MyYcMipLC5MXZs3uR6F38AL9yR+F3oERHvrm5DevOzFJ2ykdFO4iImky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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11211c710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(pca2.explained_variance_, \"o-\");"
]
},
{
"cell_type": "code",
"execution_count": 231,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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fE088gXPHs/CvqDGwsLAAALg6OuL5iFFYsfSHFs9zaY0ud3d3AHWT6SMiIjBj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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117051ad0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 10))\n",
"plt.scatter(df_full_pca.iloc[:, 0], df_full_pca.iloc[:, 1], \n",
" c=brands_full, cmap=cm_, edgecolor=\"k\", linewidth=.5)\n",
"plt.axhline(0, c=\"gray\", ls=\":\")\n",
"plt.axvline(0, c=\"gray\", ls=\":\")\n",
"for label, (x, y) in df_full_pca.iloc[:, :2].iterrows():\n",
" if \"Apple\" in label: plt.text(x+.05, y+.05, \" \".join(label.split()[1:]), alpha=.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# EFA"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## New data only"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# https://stackoverflow.com/questions/17628589/perform-varimax-rotation-in-python-using-numpy\n",
"def varimax(Phi, gamma=1., q=1000, tol=1e-6):\n",
" from numpy import eye, asarray, dot, sum, diag\n",
" from numpy.linalg import svd\n",
" p,k = Phi.shape\n",
" R = eye(k)\n",
" d=0\n",
" for i in xrange(q):\n",
" d_old = d\n",
" Lambda = dot(Phi, R)\n",
" u, s, vh = svd(dot(Phi.T, asarray(Lambda)**3 - (gamma/p) * dot(Lambda, diag(diag(dot(Lambda.T,Lambda))))))\n",
" R = dot(u, vh)\n",
" d = sum(s)\n",
" if (d_old != 0) and (d/d_old < tol): break\n",
" return dot(Phi, R), R"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.decomposition import FactorAnalysis\n",
"\n",
"efa = FactorAnalysis(n_components=3)\n",
"df_new_efa = pd.DataFrame(efa.fit_transform(scaler.fit_transform(df_new)))\n",
"df_new_efa.columns = [\"FA\"+str(i) for i in range(1, 4)]\n",
"df_new_efa.index = df_new.index"
]
},
{
"cell_type": "code",
"execution_count": 232,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Hu2E0GgG0qXA3c+XKFfLz81EUpdJxVVVxdXVl+vTptxRfxRqpG5mbl//T0Ol0Woy1qWh/\n4zkdOnRgwoQJNz3faDRy+PBhwsLCamxTsUaqJmZmZqiqqr2uGC1r0qQJs2fP5tixY+zZs4f4+PhK\nnUYhhBD168qVK6YOQQhxFzSE8uc9FEX5WVGU/ymK4ldTI0VRXlEUJV5RlPjs7Oz6jE/UYslna7nY\n5Q0UnRkAxWd/wrLTc5Q4deHdd99lwYIFODo6aiNMqampXLx4EVVViY+Px9vbG/h9/dAzzzyDg4OD\ndryCs7Mz+fn5nD59Gigf/cnIyLirn8XHx4fY2FigfATs0qVLtVYc9PT0RK/Xa2uvDAaDNoJ1o+PH\nj+Pi4kKLFi1uOz4HBwfS09NRVZXc3FxSU1MBKCgoQFVV/P39efbZZzlz5sxt30MIIcSde+aZZ3jm\nmWdMHYYQ4g6ZemrfzfwEuKuqWqAoylPAN4BPdQ1VVf0U+BQgICBAra6NqH+pZzMxa9tGe118JhZr\n3ycoSknWjvn7+2vT2jw8PFizZo1WbKJbt24AWFlZkZqaSkxMDHZ2dpUq3UH5iNCkSZNYt24dRUVF\nlJWVMXDgQFxdXe/aZ+nXrx+RkZHMmzcPMzMzgoODK41E3cjOzo7g4GBWrFhBaWkpUJ48nZ2dq7SN\ni4vj4YcfvqP4HnzwQRwdHZkzZw6tW7fWClHk5eURERGhjVY999xzd3QfIYQQQggByvVTgUwSQPnU\nvi2qqnasQ9tUIEBV1Yu1tQsICFDj4+PvSnzizmzfuYeJUZfB98/aMbWslE6/hLH18/crtU1OTmb7\n9u289tprVa4zZcoUPvzwQ3bs2AEgVeeEuAOKoiSoqhpg6jhMTXKFMBXJZaKhkHxRu/t6ap+iKC7K\nb4thFEV5mPJ4ZfOFBuTxAX3ppfyI8usm1LJSSnNSaLn3TRZOG3db1ysqKqKoqOguRymEEELUH8ll\nQjQOJh2RUhRlDdAfcAQygTmABYCqqh8rivIa8CpQChQBU1VVPXCz68pTxvuLqqrs3PMD66K/x7ON\nC38bN6JOFfWEEPeGPGEsJ7lCCCFqJ/midqau2jfyJu8vobw8umjAFEXhsf59eKx/H1OHIoQQQtS7\nxMREli1bxrx582otUnQzERERdO7cudpqs9XZu3cvlpaWBAUFERERQXJyMjY2NiiKwqhRo/Dy8mLR\nokUMHTpU24bkXktPT2f16tWUlJRgZmbGqFGj8PDwqNQmOTmZpUuX4ujoSGlpKYGBgQwePLjWJQBC\nmML9XmxCiEq2b98OwKBBg0wciRBCCFE3cXFxeHt7ExcXx5AhQ+otl/Xt27fS64otP5KSkvjyyy+Z\nPXv2Pb1/db766isGDx5Mx44dOXr0KF999RUhISFV2vn4+PDaa69hMBh4++236dy5c73HKsTNSEdK\nNCgVeyMJIYQQDYHBYECv1zN16lSWLl3KkCFDKCkp4dy5c3zwwQdYWVlplWpHjRqFoihMmTKF3r17\nk5SUhL29PRMmTMDOzq7SddPS0tiwYQMGgwFbW1uCg4OrTJuPjo7GysqqSofNx8dH25oDICEhgcjI\nSAoLCxkzZgw+Pj6UlJQQGRlJamoqZmZmDBs2jPbt23PgwAGOHDlCcXEx2dnZdO3aVdsLMikpiejo\naEpKSnByciI4OBgrK6tK91YUhWvXrgHla8VuNtXfysqKtm3bkpWVRbNmzWr8bPPmzeO1117D1taW\nTz/9lLy8PIxGI08//TQBATIzTdwb93WxCSFu9PTTT/P000+bOgwhhBCiThITE/Hz88PZ2ZmmTZuS\nlpbG008/Tf/+/UlJSWHkyJHMnTuX7OxsDh8+DJR3vtzd3Zk7dy4+Pj5s2bKl0jXLyspYu3YtkyZN\nIiwsjF69evHNN9/UOaYjR47g5uZW6XozZ85k+PDh2r12794NwJw5c5gwYQKff/659jAzPT2diRMn\nMnv2bOLj48nNzaWgoICYmBjeeOMNZs2ahYeHB999912Ve7/44otERUUxY8YMoqKibrolx9WrV0lJ\nSanzdibHjh2jefPmhIeHM2fOHPz8atyCVIg7JiNSQphARTn3e+2bb77hl19+0V5XPEH897//TWJi\nItu2bUNVVaytrRk9ejRt2pTv+RUaGoqVlRU6nQ4zMzNCQ0PveaxCCNFYFBQUsGHT/wC4dOEMTz31\nFACBgYHExcVp65E8PT1xdHTU3tPr9fj7+6MoCoGBgQAEBQWxbNmyStfPzMwkIyODxYsXA2A0GutU\nxCkqKoqtW7diZ2fH2LFjteMVa67atm1LTk55cWS9Xs+jjz4KgIuLCw4ODtqm8r6+vtjY2ADQunVr\ncnJyKCwsJCMjg4ULFwLlnTMvL68qMezZs4cXX3wRf39/4uPjWblyJX//+9+rtDt58iRvv/02iqLw\nxBNP4OrqSnJycpV2N3JzcyMqKoqNGzfSqVMnfHyq3X5UiLtCOlKiQfn2228BeOKJJ0wcScPw7LPP\n8uyzz2qv//vf/xIQEICVlRWOjo68+eabNGnShKNHj7Jq1SpmzpyptQ0JCcHW1tYUYQshRIO1Zftu\nQj/5Hxe9RmIsLqJky3v8GPcTPl7uGI1GAJo2bcq5c+fqfM3fdoLRqKqKq6sr06dPv6XYKtZI3ahi\nc3mdTqfFWJvrN6O//pwOHTowYcKEWs89ePAgw4cPB6B79+6sWrWq2nYVa6RqYmZmxvWVpytGy5yd\nnQkLC+Po0aNs2rQJX19fBg8efNPPJMTtkKl9Qtwnjhw5wnvvvcfbb7/Nv/71L65cuYKqqoSGhlJY\nWKi1Cw8P58qVK9W2r82hQ4fIyspiyJAhADz44IM0adIEAC8vL/Ly8u7dhxNCiD+AkpIS5nwSzeW+\n72PRpiuqWorScyqnS1yYN28eCxYswNHRkYyMDABSU1O5ePEiqqoSHx+Pt7c3UN5RSkhIACA2NlY7\nXsHZ2Zn8/HxOnz4NlI/+VFzzbvHx8SE2NhYoHwG7dOlSrRUHPT090ev12torg8GgjWBdr3nz5pw8\neRKAEydO0KpVq9uKz8HBgTNnzgBw5swZLl68CEBeXh6WlpY88sgjDBo0SGsjxL0gI1KiQWmMI1EV\nZXGnT5/OjBkzUBSFH374gW3btjFs2DC6dOlCYmIiPXv2JCUlhZYtW9KsWTO8vb0rtZ85cybjx4+v\n9mljTk4OGzduJCQkBJ2u/PnJ9WVxZ8+ezYkTJ5g/fz6KopCXl8fixYvZv38/48aNY9iwYfX2/di1\naxe7du1Cp9PRqVMnbRGzEELc7xISErjg9Kj2y1XxmVisfZ8gM685CQkJBAUF4e/vz/nz5wkMDCQv\nL481a9ZoxSa6desGlBdYSE1NJSYmBjs7OyZOnFjpPubm5kyaNIl169ZRVFREWVkZAwcOrPM6orro\n168fkZGRzJs3DzMzM4KDgyuNRN3Izs6O4OBgVqxYQWlpKQDPPPMMzs7Oldq9/PLLrFu3DqPRiLm5\nOS+99NJtxefv78/BgweZO3cunp6e2n3OnTvHV199haIomJmZMXr06Nu6vhB1YdINee8V2WRR3G/y\n8vJYsiAEw8UkShVrfjlrzpb/lS/CXb58OXl5eTg5OZGXl8fly5cpKyvD0dGRKVOmcOrUKbZu3cqU\nKVNYv349rVu3pk+fPpw7d44NGzZo7U+dOkVISEiVjpTRaOSDDz6gd+/e9OzZs0psJ06cYNq0aUyb\nNo1evXqRlJTEqlWreO+993jnnXe4dOkSkydPrpd55idOnCAmJobXX38dc3Nz8vPzq1SqEndONlgs\nJ7lC3G1Hjx5lyOKfMXaq/Mu77pfVbPl710qFD2rbE6m+1tEKcTOSL2onI1KiQdm6dStAg6rcV1pa\nSujkP/HWo7E4/rYNxuBFlqz69ANeHPu6Vhb3pZde4oMPPqBLly5s27aNJUuWoCgKWVlZ/PLLLwQH\nB5OYmMiuXbs4f/48K1asoHPnzsyZM4fz589X2g/k+rK4aWlpdOjQoUonKjo6mitXrpCUlMSAAQO0\nhcM+Pj7k5+cDYG1tjaWlJe+99x5ubm73vCzunj17eOKJJ7SnntKJEve7SZMm8dhjj2mjttu3b8dg\nMGhTaKtT06aqK1eu5PHHH6d169Z1undNG5uqqsq6des4evQolpaWBAcH07ZtW6B8D59ffvkFVVV5\n6KGHGD58eJX1N4sWLeLy5ctYWFhgZWXF2LFjq4wq3I6wsDCmTJlS6Vrr16/H3t4eX19fDh48yIgR\nI+74Pqbk5+dH2/xPOV38PDrL8p+pxuIiPPIP0aHDKK3d1q1bb2mNlBDi/iRrpESDYmFhgYWFhanD\nuCX/27yBkb6JOF7XJ/ByLObovlUcPnxYK4urKAoFBQVA+XS/S5cuMXLkSObNm0eLFi1YtGgRrVu3\nxmg04u7uTt++fenQoQNbtmzh4MGD2rWvL4s7cuRISkpKtLVQ18vPz2fr1q2MGzeuUrWn+Ph4bc56\naWkpZ86cISQkpF7K4mZmZqLX63nvvff44IMPSE1NvaPvvRD3mrm5OYcPH9b+7d6JMWPG1LkTBb9v\nbBoeHs6f//xnvvrqK6C8/HNWVhbz58/npZdeYvXq1QCcOnWKU6dOMXv2bObMmUNaWpq2VuVG48eP\nJzw8nB49ehAVFVXnmGorVFBRsa5CxTqggIAA3N3dG3wnCsqLQkT+cwZ+v8yiSewimsQuwu9oOJH/\nnFGpw2phYYGHh0eNxRRkNEqIhkFGpESDcq93gb8Xko/FMaFNcaVjxaWw/+CvbDv2NwL8u+Hq6sqw\nYcNYtGgRu3fvplmzZrRs2VIrizt48GCWLVvG/PnzOXbsGIGBgVhbWxMREcEvv/zCq6++ql37+rK4\nBw8eJC8vj8zMzEqLfidPnkxcXBzXrl0jMjKSw4cPExERwcCBA1EUhfz8fObPn8++ffsYPnw4fn5+\nXLly5Z6XxTUajVy9epUZM2aQlpbGp59+yjvvvFPlibkQ9wszMzP69OnDjh07KlXIhPK1iV988QUF\nBQVauemWLVtWarNp0yZyc3MZM2YM//rXvxg6dCju7u6sXr2atLQ0iouL6d69e7UjXDVtbJqYmEiP\nHj1QFAUvLy+Kioq4fPkyiqJQUlJCWVkZqqpSVlZ201FfHx8fdu7cCZRvixAaGoqtrS1paWlERUUR\nEhJCdHQ02dnZXLx4kZYtWzJu3Di+/vprTpw4QWlpKf3796dv374EBgayfPlyrYLayZMncXBwwMHB\nodI0N4PBwNq1a8nIyKCsrIwhQ4bQpUsX/vOf//Dcc8/Rpk0b3n77bbp27crgwYPZvHkzLVq0oE+f\nPrf3l3iXubm58u3KRVy6dAmgyt85NMxcJoSoSjpSQtxjgb2fZO+2TxnS+ap27OPxMOC/fvx0zhaf\ngiK+//57jEYj7dq1IzQ0lJMnT2IwGLT2Li4uvPLKK/To0YMvvvgCgC5duhAWFsbHH3/MCy+8oE3H\nq2tZ3AEDBmi7wtc01WjRokU89thjQP2UxW3RogXdunVDURQ8PDy0UTqZ4ifuJwaDgbi4OOzt7VFV\nlUcffZS33nqLP/3pT5XarV27lh49etCjRw/279/P2rVr+etf/6q9/9VXX3Ht2jXGjh1b5WHBs88+\nS9OmTTEajfzrX//i7Nmz2j5vFV588UX+/e9/ExUVhaqqTJs2DShfk9miRQutXYsWLcjLy8PLy4v2\n7dvzj3/8Q4v7ZiNgN27cWpPz588zbdo0LCws2LdvHzY2NoSGhlJaWsrChQvp0KEDbm5uKIqifZa4\nuDhtr6Tr/e9//8PX15exY8dSWFjIe++9h6+vLz4+Puj1ehwcHNDpdJw6dQoo75DdbsGCe6m6DpQQ\nonGRjpRoUKKjowFqXX9wv+nT/zFCvuxD65RtBHiqGEpgzjZnfrX7M2YBD3LF7CjvvvsuAB988AF6\nvR74vSyug4MD8fHx2tPWiukwgYGBNy2L6+XlRVlZGZmZmXe1mlNFWVxfX99KZXFrKjPr6elJZGQk\nWVlZtGrVCoPBQF5eXpV1F127duXEiRO0b9+ezMxMysrKZC8rcV+J2rSRhV8sIdcRLErgyg+nCQsL\nIygoiO+//77S1ONTp04xefJkoHxT1Yqpd1C+RsbT07PGDkBCQgJ79+7FaDRy+fJlzp8/X6UjVdeN\nTStkZWVO9xgbAAAgAElEQVRx/vx53n//fQAWL17MyZMnqy0k89///hcLCwscHBwYOXLkTb8vXbp0\n0T57UlISZ8+e1cp3FxUVkZWVhaOjoza9z9XVlcTExGp/liclJfHzzz+zfft2oLyk+KVLl/Dx8eH7\n77/H0dGRTp06cfz4cYqLi8nJybkra7jqU0PMZUKIqqQjJRqUiiljDYmiKCz8JJo/DR5M0QFzirAj\nu+M0ik58j3Ubf/LP6bW2/v7+xMbGEhgYiIeHxx+uLG7Pnj1ZuXJlpevKtD5xv8jNzeWdLz7E2NOF\nilWHRSfO8Mr011nzUQTvvPNOtZUxq+Pu7k5aWhpXr16ladOmld67ePEi27dvJzQ0lCZNmhAREaGt\nQbxeTRubNm/enNzc3EpxN2/enEOHDuHl5aUVefHz8+P06dPVdqTGjx+Pu7t7pWM6nU7bAPXGeCwt\nLbWvVVVlxIgRlSrUVQgMDGTx4sW0a9cONzc3mjVrVqWNqqpMnjy5ys+H0tJSUlNTcXR05KGHHqKg\noIB9+/ZphTQakoaYy4QQVUlHSjQoFdPMGhpzc3MGPT2U/1zog1mr9pgBzVy7oRrLcMr+fQrfgAED\ngPKyuNbW1jUuRK5uX6fg4GDt6wceeIA333yz1piufxJ6/bnXCwkJ0b62tbXVRs4sLCwYO3ZslfY9\ne/as9Ivk9fH7+voSGhpaa0zm5uaMGzeu1jZCmMqar9ZR+GATrK87puh0pF/LwWg00r17d3744Qd6\n9eoFlG96HRcXR1BQEIcOHarUYenYsSN+fn4sWbKE//u//8Pa+verXrt2DSsrK2xsbLhy5QpHjx6l\nXbt2VeKp2Ni0Xbt2lTY27dKlC7t27SIgIICUlBRsbGywt7enZcuW7Nu3jyeffBJVVTl58iQDBw6s\n8+d3cHAgLS2Njh078tNPP9XYzs/Pjz179uDr64uZmRmZmZk0b94cKysrnJycsLW1ZePGjTXe28/P\nj++//54RI0agKArp6ek88MADmJub07JlSxISEhg8eDAFBQVERUXx+OOP1/kz3C8aai4TQlQmHSkh\n6snr40cR/fKbpOjexNzRC2PRZexj3+OteWNMHZoQog4URQdUv/eioig8/vjj7Nq1Szs2YsQIvvji\nC7Zv364Vm7he9+7duXbtGkuXLmXKlCna8TZt2vDAAw8we/ZsWrZsWWX6boWaNjbt2LEjR48eZdas\nWVr5cygf8f7111+ZN28eiqLg5+dH586d6/z5Bw8ezMqVK9m8eXO1HbsKvXv3Jicnh7fffhsofwhz\n/dqwhx9+mI0bN2qj7Dd6+umnWbduHW+99RaqquLo6Kg9lPH29ubXX3/FwsICb29vcnNz62WPOyGE\nqI5syCsalE2bNgHl08IaoqtXr/LBsi/4WX+BVvbWhL32Mg888ICpwxJ/MLLBYrlbzRWXL1/m0b88\nQ1lPF+1YmaEEb70533y+7l6EKBqphp7LxB+H5IvayYiUaFCqm0/fkDRt2pQ5b/715g2FEPcde3t7\n5k54k3dXLCa3pRGLEnAttuPTfy8zdWiigWnouUwIUU46UqJBqdi7SAghTOHPTw3mycf/RGJiIvb2\n9rVOcROiJpLLhGgcpCMlhBBC3AILC4tq9z8SoiFKTExk2bJlzJs3DxcXl5ufUIOa9iOsyd69e7G0\ntCQoKIiIiAiSk5OxsbFBURRGjRqFl5cXixYt0japrg/p6emsXr2akpISzMzMGDVqFB4eHvVyb9Ew\n6UwdgBC3YuPGjWzcuNHUYQghhBC37X7KZXFxcXh7exMXF1ev9+3bty9BQUHa66FDhxIeHs7zzz/P\nl19+Wa+xVPjqq68YPHgw4eHh/PnPf66095sQ1ZERKdGgODg4mDoEIYQQ4o7cL7nMYDCg1+uZOnUq\nS5cu1bbFSE5OZvPmzVhZWWl7GY4aNQpFUZgyZQq9e/cmKSkJe3t7JkyYgJ2dXaXrpqWlsWHDBgwG\nA7a2tgQHB2Nvb1+pTXR0NFZWVgwaNKjScR8fH7KysrTXCQkJREZGUlhYyJgxY/Dx8aGkpITIyEhS\nU1MxMzNj2LBhtG/fngMHDnDkyBGKi4vJzs6ma9euvPDCC0D5Rs/R0dGUlJTg5OREcHCwtqdaBUVR\nuHbtGlC+kfSNMQtxIxmREndFbm4uoaGhXL16FYDCwkJCQ0PJyckhLy+PTz755K7cp1+/fvTr16/K\n8b179/Ljjz9WOR4dHc2kSZMq/VDeuXMnkyZNIi0tDYD//Oc/FBYWVjk3NDSUjz/+WHv9008/ERER\nUWt8ycnJnDp1qq4fB4DU1FTmz5+v/Tl8+PAtnS+EEKJhqSmX1bfExET8/PxwdnamadOmWl4ESElJ\nYeTIkcydO5fs7GwtNxkMBtzd3Zk7dy4+Pj5s2bKl0jXLyspYu3YtkyZNIiwsjF69evHNN9/UOaYj\nR47g5uZW6XozZ85k+PDh2r12794NwJw5c5gwYQKff/65tkl0eno6EydOZPbs2cTHx5Obm0tBQQEx\nMTG88cYbzJo1Cw8PD7777rsq937xxReJiopixowZREVF8dxzz9U5bvHHJCNS4q5o0aIF/fr14+uv\nv+all15i48aN9OnTR3vqNmnSpHt6/759+9b4npubG/Hx8Tz11FNA+dMtV1dX7f3XX3+9xnPPnDnD\n+fPnad26dZ3iOHHiBFZWVjz44IN1jBxcXV0JCwtDp9Nx+fJl5s+fT5cuXdDp5DmHEEKIu+fChQuE\nvPMRaXlgrSvGRXeJsGl/ByAwMJC4uDhtPZKnpyeOjo7ae3q9Hn9/fxRF0dYIBgUFsWxZ5aqVmZmZ\nZGRksHjxYgCMRmOdRnaioqLYunVrlT3XKtZctW3blpycHAD0er1WsMPFxQUHBwcyMzOB8s3fbWxs\nAGjdujU5OTkUFhaSkZHBwoULgfLOmZeXV5UY9uzZw4svvoi/vz/x8fGsXLmSv//97zeNXfxxSUdK\n3DWPPfYY77zzDjt37kSv1zNy5EgAcnJyWLJkCXPmzCEnJ4fPPvsMg8EAwMiRI3nwwQdRVZWNGzdy\n9OhRoHxDxoCAAG16QZMmTTh37hzFxcW0bNkSgOLiYv7617/i5ORU4xQBgK5du5KYmMhTTz1FdnY2\nNjY2mJmZae+HhoYSGhqKra1tlXMff/xxYmJiGD9+fKXjV69e5YsvvuDixYtYWlry0ksvYWNjw969\ne9HpdBw6dIgRI0bg4uLC6tWruXTpEgDDhw+v0smytLTUvq54oiaEEKLxioqKAsrXBdWXoqIi/vzq\nfM73eB+dty1Gw1XiVg4l680ZBHTxw2g0AmhT4epKUZRKr1VVxdXVlenTp9/SdYYOHVptoQpz8/Jf\nVXU6nRZjbSra33hOhw4dmDBhQq3nHjx4kOHDhwPlG2avWrWqzvGLPyZ55C3uGjMzM1544QXWr1/P\n8OHDK3VWKtjZ2WlD66+88grr1pVvYnn48GHS09MJDw/n73//O1FRUVy+fBmAs2fPMnr0aObNm0dG\nRgY6nY6ZM2fSu3dvdu3addO4rK2tadmyJRkZGcTFxREQUPd95bp3786ZM2cqTQ2E8imDbdu2Zfbs\n2Tz77LN8/vnnODg40LdvXwYOHEh4eDg+Pj6sW7eOxx57jNDQUCZPnszKlSurvU9KSgpz587lrbfe\nYvTo0TIaJcR1FEX5TFGULEVRjtbwvqIoyoeKougVRTmiKErdyoYJYSIuLi53VCHvdqxYFUVG+1fR\nWZU/NCw++xMW3UZTaO/Lu+++y4IFC3B0dESv1wPl084vXryIqqrEx8fj7e0NlHeUEhISAIiNjdWO\nV3B2diY/P5/Tp08D5aM/GRkZd/Wz+Pj4EBsbC5SPgF26dKnW76enpyd6vV7L5QaDQRvBul7z5s05\nefIkUD7DpFWrVnc1btH4yIiUuCNr164iPnY35uZQplrh7t4Be3t7zp07x0MPPVSlfVlZGWvWrCE9\nPR2dTqf9INPr9QQGBqLT6WjWrBnt2rUjNTUVGxsbPDw8tGkB3bp10+Ysu7m5ceLEiTrFGRAQQFxc\nHMeOHWPq1KkcOHCgTufpdDoGDRrEt99+S8eOHbXjer2eyZMnA+XTCK5evaotUL3er7/+yvnz57XX\n165dw2AwVFng6unpydy5czl//jwRERF07NgRCwuLOsUoxB9ABLAEqP5JBDwJ+Pz25xFg2W//FeK+\n1Lt373q/55ETp9G1Ga29Lj4Ti7XvE+SnnNSO+fv7ExsbS2BgIB4eHqxZs0YrNtGtWzcArKysSE1N\nJSYmBjs7OyZOnFjpPubm5kyaNIl169ZRVFREWVkZAwcOrDSl/k7169ePyMhI5s2bh5mZGcHBwZVG\nom5kZ2dHcHAwK1asoLS0FIBnnnkGZ2fnSu1efvll1q1bh9FoxNzcnJdeeumuxSwaJ+lIidu2evXn\n6Ix6wqY/AUBKaiav/HUZUV9t5eOPPyYwMLDKvOgdO3bQrFkzZs+ejaqq/O1vf7vpfa7/4agoyi0P\n8wN07tyZr776Cnd3d6ytrev6EYHyOeDffvvtbSUBo9HIjBkz6twpat26NVZWVmRkZNTbvhlC3O9U\nVd2rKIpHLU2eAVaqqqoCPyqK0lxRlNaqqp6v5Rwh/lCe7P8I277bBQ8OBKDZoyGoqorT2d+LLQ0Y\nMAAoL5xkbW3Na6+9Vu21hg0bVuVYcHCw9vUDDzzAm2++WWs8FRUCbzz3eiEhIdrXtra2vPvuu0D5\nXm7Xr6Oq0LNnT3r27Km9vj5+X19fQkNDa43J29ubsLCwWtsIcT2ZPyRuW0L8Xp4Y1BUoH+rfHH2Q\nmf94lm//t5k//elP2hzw61WUE1UUhR9//FHrCPn4+BAfH4/RaCQ/P5+TJ0/i6elZ5fzExMQqFYLq\nwtLSkueff14rOHErzMzMGDhwIDt27NCOeXt7c+jQIaA84dja2mJtbY21tbW2/gvK52RfP/0wPT29\nyvUvXryofR9ycnK4cOHCfVMaV4gGwg24/h/X2d+OVaEoyiuKosQrihKfnZ1dL8EJcaP169ezfv36\ner3ns08PolNuNMaz5dPyjNfyabr/LcIm3dqaKCHE72REStw2K8vfF5j+eOhXmrew5dH+Xfjnfw7x\nyqTX2L9/P8nJyZU6Bf379+fjjz/mxx9/xM/PT5vi1rVrV06fPs38+fOB8sWuzZo148KFC5Xu2bx5\n8zpX0LtRRZWh29G7d29iYmK010OGDOGLL77grbfewtLSUnua1rlzZz755BMSExMZMWIEI0aMYM2a\nNbz11lsYjUZ8fHwYPXp0pWvr9Xq+/fZbzMzMtB3dqyt8IYS4c6qqfgp8ChAQEKCaOBzxB9WmTZt6\nv6dOp+Obz/4fK77cwPdxm2hpa8W0BS/z4INVq9e1a9eOdu3aVXudDz/88F6HKkSDoZTPhGhcAgIC\n1Pj4eFOH0ej9/Y3xzJo+qFJhhL0/JGFu1Y2nB//ZhJEJIWqjKEqCqqp1r7pyH/htat8WVVU7VvPe\nJ8BuVVXX/Pb6BND/ZlP7JFcIIUTtGmK+qE8ytU/ctrHBf+PtBZvIybmCqqociktm5+4zPPnUYFOH\nJoT4Y9kMjPmtel8QcFnWRwkhhLjXZGqfuG1du/rjPGMRq1Yu5/LlS3Tz78E//zX9npbuXrNmDYC2\nR5UQovFTFGUN0B9wVBTlLDAHsABQVfVjIAZ4CtADhcBfTBOpEHUjuUyIxkE6UuKOtG7dmmnTZ9fb\n/aorQCGEaNxUVa31t83fqvXdvASoEPcJyWVCNA7SkRINSlBQkKlDEEIIIe6I5DIhGgdZIyWEEEII\nIYQQt8ikHSlFUT5TFCVLUZSjNbyvKIryoaIoekVRjiiK4l/fMYr7y+rVq1m9erWpwxBCCCFum+Qy\nIRoHU0/tiwCWACtreP9JwOe3P48Ay377r/iDqmlfCyGEEKKhkFwmRONg0o6Uqqp7f9sbpCbPACt/\nW0j8o6IozRVFaS1lbf+47mRTXSGEEOJ+ILlMiMbhfl8j5QakX/f67G/HqlAU5RVFUeIVRYnPzs6u\nl+CEEEIIIYQQf0z3e0eqzlRV/VRV1QBVVQOcnJxMHY64R1auXMnKlTXNBBVCCCHuf5LLhGgcTL1G\n6mbOAQ9c97rNb8fEH5Sfn5+pQxBCCPEHNmXKFD788MNa2+zcuZM+ffpgaWlZ7fu3mssKCgr4xz/+\nwciRI+nbt+8tnXs79u/fz44dO1AUBVVVefbZZ+nSpUuN7aOjo7GysmLQoEFcuHCB5cuXoygKkyZN\n4rPPPmP69On3PGYhTOF+70htBl5TFGUt5UUmLsv6qD+27t27mzoEIYQQolY7d+7kkUceqbEjdau5\nLCEhAS8vL2JjY+95Ryo3N5eYmBhmzZqFjY0NBoOB/Pz8Op+fmJhI9+7deeqppwCkEyUaNZN2pBRF\nWQP0BxwVRTkLzAEsAFRV/RiIAZ4C9EAh8BfTRCqEEEII8bvk5GSio6OxtbXl3LlzuLu7M27cOHbt\n2kVeXh6LFi3C1taWkJAQkpKSiI6OpqSkBCcnJ4KDgzEajbz33nv87W9/w9nZmRUrVtC+fXv69OlT\n5V5xcXEMGzaMFStWkJubS4sWLQA4cOAA//vf/2jSpAlt2rTB3NyckSNHEhERQefOnfH3L981pmIU\nzWAw8NFHH3H16lXKysqqHWnKz8/H2toaKysrAKysrLSvs7OzWbNmDfn5+VhaWvLyyy/j4uKinXv0\n6FF27tyJTqfj+PHjhISEVBrB2759O/Hx8ZSWltKtWzeGDBly9/9ihKhHpq7aN/Im76vA3+opHNEA\nREREABAcHGzSOIQQQvzxGI3GSq/PnDnD3Llzad68OQsXLuTUqVMMGDCAHTt2EBISgq2tLQUFBcTE\nxPDGG29gZWXFtm3bmD59Ol27dtU6PQMGDKCwsLDaTlRubi6XL1/Gw8ODgIAA4uPjefzxx7l8+TKb\nN28mLCwMGxsb/vnPf/LAAw9UOf96FhYWvPrqq1hbW1NQUMCCBQvo3LkziqJobdq0aUOzZs0IDQ3l\noYceolu3bnTu3BmAL7/8ktGjR9OqVStSUlKIjIxk6tSp2rkdO3akb9++2jS/6yUlJZGVlcXMmTMB\nWLp0KSdPnsTHx+fW/hKEuI/c71P7hKika9eupg5BCCHEH8x/Pv2MfYm/UmZmzS+797Fr7w+4ubTC\n09NTGx1q06YNOTk5eHt7Vzr39OnTZGRksHDhQgDKyspwcHCga9euPPTQQyQkJLBmzRrCw8OrvXdc\nXJw2FTAgIICVK1fy+OOPk5KSQvv27bGzs9Pey8zMrPVzqKrK119/zcmTJ1EUhby8PPLz82nWrJnW\nRqfTMWXKFNLS0jh+/Djr168nLS2NQYMGcerUKT755BOtbWlpaZ2/h0lJSSQlJfH2228DYDAYyMrK\nko6UaNCkIyUaFOlICSGEqE8rVq7mmNEF/4kvA3A+O4cPN2zn9ef6Y27++69ROp2OsrKyaq/RoUMH\nJkyYUOW4qqqcP38eS0tLCgsLtU7Z9eLi4rhy5QqxsbEA5OXlkZWVVWvMOp1OGz1TVVXr8Bw6dIiC\nggLCwsIwMzMjNDSUkpKSKucrioKHhwceHh506NCBiIgIHn/8cWxsbGrs8N2Mqqo88cQT9VIsQ4j6\n0mjKn4s/hrKyshoTlRBCCHG37Y47gscjj/9+QFHoMmwKa77eUuM5VlZWXLt2DQBPT0/0er3W+TEY\nDGRkZFBWVsaOHTto3bo148eP54svvqiS3zIzMzEYDLz//vu8++67vPvuuzz55JPExsbi6elJcnKy\ntt4pISFBO8/R0ZEzZ84A8PPPP2vXLSoqws7ODjMzM06cOEFOTk6V2PPy8rRzAdLT03FwcMDa2hpH\nR0ftPqqqcvbs2Tp/H/38/Ni/fz8Gg0G7z60UsRDifiQjUqJBWbVqFSBrpIQQQtSPMp1FlWNWts24\nWnitxnP69u3Lhx9+iL29PSEhIQQHB7NixYpKU+Hs7e25dOkSM2fOxNraGh8fH2JiYioVYIiLi6sy\nE6Nbt24sX76cwYMHM2TIEBYsWECTJk0qrY/q3bs3H330EfPnz8fPz08rFvHII4+wdOlS5s2bh4eH\nR6VCEdrnLSsjKiqKvLw8LCwssLOzY/To0QCMHz+eyMhIYmJiKCsrIyAggDZt2tTp+9ihQwfOnz/P\nggULALC2tmbcuHHa1EQhGiKlvJ5D4xIQEKDGx8ebOgxxDxw5cgRAW/gqhLh1iqIkqKoaYOo4TE1y\nhaiLV98Mo/Xz/8DSpql27MxP++jX/DLDX3jutq55L3LZgQMHSEtLY+TIWut4CXFLJF/UTkakRIMi\nHSghhBD1ac6brzNpeigefwrGwaM9Z+J3op48wNDF79/2NSWXCdE4yBop0aCUlJRUuzBWCCGEuBdc\nXFxY/+m/8FdPc23HR4zu4siKD/8fZmZmt33Ne5HLevbsKaNRQtQzGZESDcrq1asBWSMlhBCi/lhZ\nWTF29Ii7dj3JZUI0DtKREg1KQIBM0xVCCNGwSS4TonGQjpRoUDp27GjqEIQQQog7IrlMiMZB1kiJ\nBuXatWva3hxCCCFEQyS5TIjGQTpSokFZu3Yta9euNXUYQgghxG2TXCZE4yBT+0SD8sgjj5g6BCGE\nEOKOSC4TonGQjpRoUB566CFThyCEEELcEcllQjQOMrVPNCiFhYUUFhaaOgwhhBDitkkuE6JxkI6U\naFDWr1/P+vXrTR2GEEIIcdsklwnROMjUPtGg9OjRw9QhCCGEEHdEcpkQjYN0pESD0r59e1OHIIQQ\nQtwRyWVCNA4ytU80KAUFBRQUFJg6DCGEEOK2SS4TonGQjpRoUKKiooiKijJ1GEIIIcRtk1wmROMg\nU/tEg9K7d29ThyCEEELcEcllQjQO0pESDYq3t7epQxBCCCHuSHW5LCYmhtjYWHQ6HYqi8NJLL+Hp\n6WmC6O7MoUOH2LZtG0ajETMzM9zd3Rk6dChNmjSp8ZyIiAg6d+6Mv7//PYnpyJEjbN68GVVVKSsr\nY8CAAfTt2xeA+Ph4tmzZAkCbNm2YMGFClfMnT56Mm5ub9jowMJAnnniiUpvk5GS2b9/Oa6+9dk8+\ng7g/SUdKNCiXL18GwN7e3sSRCCGEELfnxlx2+vRpfvnlF2bNmoW5uTkFBQWUlpaaMsTbcuzYMXbs\n2MGUKVNo3rw5RqORgwcPkp+fX2tH6l4qKyvjyy+/ZObMmbRo0YLS0lJycnIAyMrK4ttvv2XatGk0\nadKE/Pz8aq9haWlJeHh4fYYtGgjpSIkG5euvvwYgODjYtIEIIYQQt+nGXHb58mVsbW0xNy//tczW\n1lZru2XLFo4cOUJJSQkPPvggo0ePRlEUFi1axAMPPIBer8dgMPCXv/yFb7/9lnPnzhEQEMAzzzyD\nwWDg008/JS8vD6PRyNNPP01AQAChoaGEhoZia2tLWloaUVFRhISEEB0dzaVLl7h48SKXLl1i4MCB\nDBgwAICtW7dy6NAhbG1tadmyJW3btmXQoEGVPldMTAxDhw6lefPmAOh0Onr16nXTz3K96tqoqsqC\nBQsYOnQo7dq14+uvv0ZRFHx9ffn+++/561//CsDx48fZvXs3r776qna9a9euYTQate+pubk5zs7O\nAOzbt4/+/ftrnTw7O7tb+ns8duwY69atw9LSstIoY35+Pv/973/Jy8vDy8uL48ePExYWhq2tLYcO\nHeL777+ntLQUT09PRo0ahU4nJQsaKulIiQalYiheCCGEaKgqcpnRaCQ3N5d27dqxZcsWwsPDeeih\nhwgICKBdu3YAPProowwePBiAzz77jF9++YXOnTsD5Z2C0NBQdu7cyUcffURYWBhNmzYlLCyMxx57\njBMnTtC8eXNef/11AIqKim4a24ULFwgJCeHatWvMnj2bfv36kZ6ezk8//UR4eDhlZWW88847tG3b\ntsq5GRkZ1R6vUNtnuVmb4OBgPvnkE0aMGMGxY8eYMWMGZmZmREZGkp+fj52dHfv376/UcQNo2rQp\nnTt3ZubMmfj6+tKpUycefvhhFEUhMzMTgIULF2I0GhkyZAh+fn5V4i4uLmb+/Pna6yeffJIuXbqw\natUqpk6dipOTE8uXL9fe37JlC+3bt+fJJ5/k2LFj7N+/H4Dz588THx/PtGnTtNhjY2MJCgqq9e9E\n3L+kIyUaFC8vL1OHIIQQQtwRLy8vvl63hn+HheBipePitVLcuwXxpxdfJDk5meXLl/Pcc8/Rs2dP\nTpw4wbZt2yguLqawsBBXV1et89GlSxcA3NzccHV11aYKOjk5cenSJdzc3IiKimLjxo106tQJHx+f\nm8bWqVMnzM3NsbW1xc7OjitXrnDq1Cm6du2KhYUFFhYWVTo/1Tl37hyfffYZ165d47nnniMgIKDW\nz1Khpjaurq4EBQWxZMkSZsyYoY3eBQUFcejQIXr27Mnp06cZN25clVjGjBnDuXPnOH78ON999x3H\njx8nODgYo9FIVlYWISEh5Obm8sEHHzB79uwq0xCrm9qXnp6Oo6MjrVq1AuCRRx5h3759AOj1em1U\nzM/PT7ver7/+SlpaGu+++y4AJSUltzwKJu4v0pESDUpubi4ALVq0MHEkQgghxO35Ye9eft2+ibC+\nHbRj+06dIG7/Pl4aNwE3NzcOHjxIYGAgkZGRhIWF0aJFC6KjoykpKdHOqehM6HQ67WsARVEwGo04\nOzsTFhbG0aNH2bRpE76+vgwePBidToeqqgCVrnf9NSuuazQa6/y5XF1dOXPmDO3bt8fNzY3w8HDW\nrFlDcXExJSUltX6Wilhqa3Pu3DmaNGnClStXtGM9e/Zk6dKlWFhY0L179xqnybm5ueHm5kZQUBCh\noaEEBwfTokULPD09MTMzw9HREWdnZ7KysvDw8KjzZ75VPXr04Lnnnrtn1xf1SyZligZl06ZNbNq0\nydRhCCGEELftu+3baOnVTnuddaUA31bNSdz7PVA+2tGyZUutE2Fra4vBYOCnn366pfvk5eVhaWnJ\nI61h844AACAASURBVI88wqBBgzhz5gwADg4OpKWlAdTpmg8++CA///wzJSUlGAwGjhw5Um27J598\nkqioKO2hJ/zeUavLZ6mtzeHDh7l69Spvvvkma9eupbCwEIDmzZvTvHlzYmJi6NmzZ5VrGgwGkpOT\ntdfp6ek4ODgA0LVrV06cOAGUb5KcmZmJk5PTTb8fAC4uLly8eJHs7GwA4uLitPe8vb1JSEgAICkp\nSYv1/7N35/ExXvsDxz8nk4VIiDUktQQh9i2xdVGlqhd1S9RSNG21XFe1pbe2BrGUttyrC35tXaZU\nlAYl5Nqq1daSjQhCIiJBIpIIkoisc35/TOZp9oQiCef9euXVmWeeeZ7vjOmcOc855/t1cXHh+PHj\nWlKL27dva4kvlKpJjUgpVcqzzz5b0SEoiqIoyl+SnXKT7vXstPuZ2bn8FBzG0YsJLFiwgAYNGjB2\n7Fisra15+umnmT9/PrVq1brrkZLY2Fi2bt2KEAKdTserr74KwODBg1m/fj07d+7U1mKVplmzZnTq\n1IkFCxZQs2ZNHB0dqV69epH92rdvT2pqKl988QVSSqpXr46jo6M2va2s11LSPmlpaWzbto1p06ZR\nu3Zt+vbty+bNm3n99dcB6N69O6mpqTRq1KjIMaWU7N27l++//x4LCwusrKy0JB9t27YlLCyM+fPn\nI4Rg+PDh1KhRo8gxCq+RateuHcOGDWPcuHF8+eWXWFpa4uzsTEZGhvb+rlmzhmPHjtG8eXNq1qxJ\ntWrVsLGxYejQoaxYsQIpJTqdjtGjR2sdO6XqEaah3UeJq6urDAoKqugwFEVRKiUhRLCU0rWi46ho\nqq1QKsrm7zdQI/Qg3Z0ctG0JKWlsv2mF55JPKzCykmVmZmJlZUVWVhbLli1j7NixpSaWeJg2bdpE\nkyZNiiSaqCg5OTmYmZlhZmZGVFQUGzdurLLp01V7UTo1IqVUKUlJSQDUq1evgiNRFEVRlHvTd8AL\nLPc/yuWQSHo1bcC5hJv8Gp/OZ9/qKzq0Em3YsIGrV6+SnZ1Nr169Kk0navHixVhZWTFixIiKDkWT\nnJzMN998o406jRs3rqJDUh4QNSKlVCl6vR5QdaQU5a9QVxiNVFuhVBRTW9apYwf8//iN1m3b82y/\n/kVqKilKRVPtRenUiJRSpfTr16+iQ1AUpQIIIQYCnwM6YI2Ucmmhxz2Az4DYvE1fSSnXPNQgFaWc\nTG1Z48aN6dK1WwVHoyjKvVIdKaVKady4cUWHoCjKQyaE0AErgeeBK0CgEGKnlDKs0K6bpZRTHnqA\ninKXVFumKI8Glf5cqVISEhJISEio6DAURXm4ugORUsooKWUW8AMwtIJjUpR7ptoyRXk0qI6UUqX4\n+fnh5+dX0WEoivJwOQKX892/kretsOFCiFAhhI8QQl3yVyot1ZYpyqOhQqf2qTnvyt16/vnnKzoE\nRVEqJ19gk5QyUwgxEfgOeK7wTkKIt4G3gUqTdUx5/Ki2TFEeDRXWkVJz3pV74ehY3EVoRVEecbFA\n/hGmJ/jzAhsAUsrr+e6uAYotxiOl/Ab4BoxZ++5vmEp5+Pn5ERAQgJmZGUIIxo4di5OTU0WHddf8\n/f3Zu3cvBoMBnU5H06ZNcXd3x9rausTn6PV6OnbsSNeuXR9ITMuXLyczM5PZs2cDEBMTg4+PD9On\nTy/xOZcvX+bWrVu0b9/+rs61detWTp06hZSSNm3aMHLkSJV1UHnsVOSIlDbnHUAIYZrzXrgjpSia\n+Ph4ABo2bFjBkSiK8hAFAs5CCCeMHahRwJj8OwghGkkpr+bdfQk4+3BDVMojKiqKU6dO8dFHH2Fu\nbk5aWho5OTkVHdZdO3PmDAcOHGDq1KnY2dlhMBg4evQoqamppXakTB5kW5aSksLp06fL3TG6fPky\nMTExd9WRunDhAhcuXGDu3LkAfPbZZ5w/f55WrVrdU8yKUlVVZEequDnvPYrZb7gQ4hkgAnhfSnm5\nmH3UdI3HxJ49ewBVR0pRHidSyhwhxBRgL8ap4GullGeEEAuAICnlTmCqEOIlIAdIBjwqLGClRLdu\n3cLGxgZzc+PPDxsbG+2xXbt2ERoaSnZ2Ni1atODVV19FCMHy5ctp3LgxkZGRZGZm8vrrr7Nnzx5i\nY2NxdXVl6NChZGZm8s0333Dz5k0MBgODBg3C1dWV2bNnM3v2bGxsbAqMzvj6+pKcnExSUhLJycn0\n69eP554zzgTdvXs3/v7+2NjYUKdOHZo0acKAAQMKvA4/Pz/c3d2xs7MDwMzMjCeffLLM12KyZ88e\nQkJCaNCgQYF9pJQsXboUd3d3WrVqxfbt2xFC4OLiwsGDB5k8eTIAZ8+e5ddff+Uf//hHkff4hRde\nwM/Pr0jHKDs7G29vb6Kjo9HpdIwYMYIWLVqwc+dOsrOziYyM5MUXX6RDhw788MMPxMXFkZuby5Ah\nQ+jUqVOBYwkhyM7OJjc3Fyklubm52Nra3vXnQVGqusqe/rxcc95BTdd4XAwcOLCiQ6gyUlJS2LJl\nCxcvXsTa2hpzc3MGDBhAly5diImJ4ejRo4waNeqhxxUVFcXmzZvJyckhJycHV1dXhgwZQnx8PN99\n9x2XLl1i6NChBX64nDlzhs2bN2MwGHjqqae0z8Hy5ctxd3enadOmD/11KA+XlNIP8Cu0bW6+27OA\nWQ87LqV8pJSkp6fj4uLCrl278PT0pE2bNri6umqjGH379mXw4MEArF27llOnTtGxY0cAzM3NmT17\nNj///DOrVq1izpw51KhRgzlz5tC/f3/Cw8Oxs7PjnXfeAeDOnTtlxhQfH8/06dPJyMhg7ty59OnT\nh8uXL3P8+HE8PT3Jzc1l8eLFxV6cjYuLK/WibWmvBYxt2TPPPEPz5s2L7OPh4cHXX3/NqFGjOHPm\nDDNnzkSn0+Ht7U1qaiq2trYcPny4QMctv+bNm3PixAnCw8OpVq2atv3XX38FYN68ecTHx7NixQoW\nLlzISy+9RExMDKNHjwbgp59+wsXFhddee4309HSWLFmCi4sLVlZWBc7RunVr/vWvfyGlpG/fvjRq\n1KjM91xRHjUV2ZG6b3PelceHmtJXPlJKVq9eTa9evZgwYQIA169fJzQ0FICmTZtWWOdDr9fz9ttv\n88QTT2AwGLh27RoANWrUYOTIkYSEhBTY32Aw4O3tzfvvv4+dnR1LliyhU6dOqtFWlCpi9/Zt7Ptx\nI3ZmuaTkgEuvPvR9cRDh4eF8++23vPzyy/Tu3Zvw8HD27t1LVlYW6enpODg4aJ0P04iIo6MjDg4O\n1KpVC4D69euTnJyMo6MjPj4+bNu2jQ4dOuDs7FxmXB06dMDc3BwbGxtsbW1JSUnhwoULdO7cGQsL\nCywsLAp0fkoSGxvL2rVrycjI4OWXX8bV1bXU1wLGtuz48eMsWbKkyD4ODg707NmTr776ipkzZ2qj\ndz179sTf35/evXsTFRXFG2+8UWJMf/vb3/Dz82PYsGHatsjISPr27audv27dutr3b35hYWGcPHmS\nffv2AcaRrOTk5ALfuQkJCVy9epVPPvkEgBUrVnD+/Plyve+K8iipyI6UmvOu3LXYWGNfWyWdKF14\neDg6nY5nnnlG21a3bl2tEY2IiGDfvn1MmTKF27dv891335GUlISlpSVjx47liSeeKHXqi7+/PwcP\nHiQnJwcnJyfGjBmDmZkZYWFh+Pr6kp2dTf369fHw8ChwFRMgNTVV+xFkZmamNc62trbY2tpy6tSp\nAvtHR0fToEED6tWrB4CrqyshISGqI6UoVUDoyRBObN/AnKfbatsORpwgJKAur4wdj6OjI0ePHsXN\nzQ1vb2/mzJlD7dq1te8RE1NnwszMTLsNxilmBoMBe3t75syZw+nTp9mxYwcuLi4MHjwYMzMzpDRO\nUsl/vPzHNB3XYDCU+3U5ODhw6dIlWrdujaOjI56enmzatImsrCxtCl1JrwWM32vffPMNS5YsKXaf\n2NhYrK2tSUlJ0bb17t2blStXYmFhQbdu3TAzK7mCjYuLCzt27CAqKqrcr8lESsmkSZOwt7cvcZ+Q\nkBCaN2+ufb+3a9eOqKgo1ZFSHjsVVkdKSpkDmOa8nwW2mOa8581zB+Oc9zNCiJPAVNSc98fe/v37\n2b9/f0WHUemVNe0kP19fX5o0acLcuXP5+9//zrp167TH4uPjeffdd5k1axa7du0iNzeXq1evEhQU\nxIcffoinpydmZmYEBASQlpaGn58f7733Hh999BHNmjUr9t+qX79+zJ07l9WrV/Pbb78V+YFR2M2b\nN6ldu7Z2v3bt2ty8ebOc74SiKBVpy7pvec31zwQECSlpdGhUh4Cf9wLGRAd16tTRvgdsbGzIzMzk\n+PHjd3WemzdvYmlpSY8ePRgwYACXLl0CjBeQYmJiAMp1zBYtWnDy5Emys7PJzMzURvELe/HFF/Hx\n8eHGjRvaNtNrKM9r2bt3L9HR0cXuc+LECW7fvs0HH3zADz/8QHp6OgB2dnbY2dnh5+dH7969y3wt\ngwYNYu/evdp9Z2dnAgICALh27RrJyck0bNiQatWqkZGRoe3Xrl07Dh48qHVAL18uujS9Tp06RERE\nYDAYyM3N5fz58+rilvJYqtA1UmrOu3K3/va3v1V0CJVabGwsmz79lNDTp2nq6sqIESMQQrBp0yYi\nIyPR6XRaWlyTyMhIJk2aBBivYt6+fVtrVIub+nLu3DliYmL4+OOPAeOPBltbW6KiooiLi+PTT40z\ncHNzc7X5//kNHjyYHj16EBYWRkBAAIGBgaWm5lUUperKyczEysJOu5+ZnctPwWEcvZjAggULaNCg\nAWPHjsXa2pqnn36a+fPnU6tWLZo1a3ZX54mNjWXr1q0IIdDpdLz66quA8ftm/fr17Ny5s1wZ5Zo1\na0anTp1YsGABNWvWxNHRkerVqxfZr3379qSmpvLFF18gpaR69eo4OjrSrl27cr2Wl19+mWrVqhXZ\nJy0tjW3btjFt2jRq165N37592bx5M6+//joA3bt3JzU1tVydlvbt2xdIANGnTx+8vb3x8vJCp9Ph\n4eGBubk5rVu3Zs+ePSxcuJAXX3yRQYMGsXnzZhYsWICUknr16jFlSsEqNF27duXcuXN4eXkhhKBd\nu3blmgapKI8aYbri8ChxdXWVQUFBFR3GQxMSEsLq1avx8vL6S2uI7ra+xW+//YalpSU9e/ZEr9cT\nERFB9erVEUIwZswYmjdv/tCTAVy+fJmNGzeSnZ2NTqdjzJgxd90gV1VHDhzgf2++yXuXLnENWGZh\nQeORI/HasAEwNtAff/wxH3/8cYGpfYsWLWLSpEna1LmZM2cyf/589u/fj5WVlZb0wcvLiylTphAa\nGsrNmzd5+eWXC5w/NDSUgIAAbU1WeRgMBqZPn86iRYuoUaMGYBwhy3/eqKgofH19effddwH43//+\nBxivCKtkE/dGCBEspXSt6Dgq2uPWVlSEjfq11D13mK5N/2ybrqel82OSjrmfLKvAyEqWmZmJlZUV\nWVlZLFu2jLFjx1aabMCbNm2iSZMmJSaaUJT7TbUXpauwqX3K/RMYGEjLli0JDAx8qOd95pln6Nmz\np3bf3d0dT09Phg0bxvfff/9Aznn58uVipxmYbN26lcGDB+Pp6clLL73E1q1bH0gcldE2T08WXLpE\nXaAN4JydTc727ZzI+1xkZWUV+7yWLVvi7+8PGNdO2djYFMj0VJiLiwvHjx8nNTUVgNu3b3P9+nWc\nnJyIjIwkISEBMP4YKW4hs6mAIxinlwghir3ia9KsWTMSEhJISkoiJyeHoKCgIql4FUWpnEaNe419\nyQZ2nb5Iclo6hy/E8p/AaN6d7VnRoZVow4YNLFy4kEWLFtGlS5cH0okqqy0rzuLFi4mNjaVHj+Iq\nxSiKUhEqe/pzpQyZmZlERkYybdo0Vq5cyZAhQwDjD+KdO3diZWVFYmIirVu3ZsyYMQghmDp1Kk89\n9RRhYWHUqlWLCRMmFKn/EBMTw48//khmZiY2NjZ4eHhoCQJMCo8cmDg7O2s/pgGCg4Px9vYmPT2d\n8ePH4+zsXGw9i9atW3PkyBFCQ0PJysoiMTGRzp07M3z4cMCYSWjevHnk5ubywgsvFJvIQAihTUu7\nc+dOkZgfVRkZGdSJjcVUpUQAk4F1t2/z4Tvv8NzQoVhaWhbI4GQyZMgQvvvuOxYsWIClpWWZNboa\nNWrE0KFDWbFiBVJKdDodo0ePpnnz5nh4eLBmzRqtwObQoUOLLFg+duwYW7ZswdLSEp1Ox5tvvomZ\nmRkpKSksXryYjIwMhBD8/PPPeHl5Ua1aNUaPHs3nn3+OwWDgySefxMHBQTvel19+iU6nA4wpeSdO\nnHivb6OiKPeZTqdj+ddrOXbkMP/77VdaPfMsqwcN1v6frYzuZlT9Xv3888/A3dVEnDNnzgOKpiBV\nOkNR7oKU8pH769atm3xcHDt2TH733XdSSimXLl0qo6OjpZRShoeHy8mTJ8vExESZm5sr//Of/8jg\n4GAppZRvv/22PHbsmJRSSl9fX+nt7S2llHLdunUyODhY5uTkyKVLl8qUlBQppZSBgYFSr9cXOffO\nnTvl3r17CzxXSimDgoLkxx9/LKWUctmyZXLLli1SSilPnTol//3vf0sppdy3b592zKtXr8oZM2bI\nrKwsefjwYTl79myZnp4us7Ky5MyZM2VycrJMTU2Vn332mbxy5YpMTEyUe/bskb6+vkViiouLkzNm\nzJAzZsyQH374oUxKSvqrb3GVkJubK2e2aSMlFPjzNzeXPmvXVnR4SiWDsYhthX9XV/Tf49RWKJVL\nYmKiTExMrOgwijAYDHLp0qXy0KFD2rakpCR58ODBCozKyNPTU16+fFlKaWzz4uLipJRSpqSkyIsX\nL8rt27drv0lM+8yePVsmJibK7OxsuWDBAu05y5Yt034vKaVT7UXpf2pEqgq6ceMG//XeTtrtO+gy\nk3F3dwfAzc2NwMBA7QqLk5OTtu7Fzc2NyMhIunbtihACNzc3wFiXYvXq1QWOf+3aNeLi4lixYgVg\nXMdSnpEdHx8fdu/eja2tLa+99pq23bTmqkmTJly/biwNVlo9CxcXF22qV6NGjbh+/Trp6enExcWx\ndu1aoOREBocOHeKVV16ha9euBAUFsX79et5///0yY6/qzMzMcBgyBP+oKHpkZgKQDujbtWNF3qJr\nRVEUpXIwtc2VjSqdoSh3R3Wkqpi9P//O9JW7SW47AQnc2TKeQ0cC6d6lvVYDwzQVrryEEAXuSylx\ncHBgxowZd3Ucd3f3YhNV5K//UZ46HSXV9mjbti39+/cHKDGBxNGjRxk5ciQA3bp1Y0NeooXHwZSl\nS/nG2pqffH0xz8ggt2VLPlq5EktLy4oOTVEURcknOjoaKLktqyj3Ujpj8uTJnDt3jnXr1uHpaVz7\nFh8fz/Tp08nIyGDu3Ln06dOHhIQErXSGTqfD29ubgIAA2rdvr5XOsLKyYu/evezfv5/BgwcXOJ+p\ndEarVq1o164dvXr1wsLCosT4iiudcfHixXt4VxSlZKojVYUYDAbmff0TKc8sw0IIMi78jnmPycRn\nRfGvf71D7dq1WbZsGZGRkYDxizopKYm6desSFBTE008/DRg7SsHBwbi5uREQEEDLli0LnMfe3p7U\n1FSioqJo3rw5ubm5XLt2rcC6lL/KVM/CxcWlQD0LU+2PwpycnLR1VjVr1mT06NHcvHmzyPobOzs7\nzp8/T6tWrQgPD6dBgwb3LebKTgjBxHnzYN68ig5FURRFKcWvv/4K3N0aqQdFSonPmjWEbN1KdHIy\njVTpDEUpN9WRqkKioqJIsumojSBlXQqgmstArue0Yc+BQ4we8Xe6du1KQEAAbm5uNGvWjE2bNmnJ\nJrp06QKAlZUV0dHR+Pn5YWtry1tvvVXgPObm5kycOJHNmzdz584dcnNz6dev333tSJVUz6Iktra2\neHh4sHHjRq5evconn3xSbCKDcePGaQtLzc3NGTt27H2LWVEURVHuh6FDh1Z0CJpPJk2i5/r1LM7I\n4CzwnxMn+Le5OdO/+ILRo0drpTPuRkkzS3r16lVs6Yy2bduWK8lH/fr16dOnD08//TTTp0/n9u3b\nWumMwuzs7AoUTL5x4wZ2dnbF7qso90p1pKqQWrVqYZGVRHbe/Zp9jVdiZPhu7OvXBdDmIUdERFCt\nWrUiRfRMRowYUWRb/itjjRs35oMPPig1HlOGwMLPzS//1SIbGxvty9jCwqLAOiqT3r17F6jYnj9+\nFxcXFi5cWGpMLVu2fGiZjRRFURTlXuSfclaRrl27hrmfH8/mjSS5AE45OZzbsoXk+fOpU6dOmaUz\nBg0aVO7SGatWraJ///7Y2tpqI1imGScJCQk0aNCAzMzMYmecnDp1ivbt2yOEuOvSGXZ2dgQFBfHm\nm2/e/ZukKKVQHakqpH79+rS1TsQ/9Ro6W+MXjCHrDo2v+fHsM19WcHQPR1RUFECxw/6KoiiKUhVU\nlrYs7MwZXK9c0e6bSmfMTUri/fffx8XFRZXOUJRSCGNmw0fLo1ytPi0tjUmzPiX0msQgzGlaPY2v\nF73HE084VnRoD4Verwcqx7xyRamqVKV6o0e5rVAqt8rSlsXFxbHF1ZX3rl4tsP2zxo3xCA6mfv36\nFRSZUlmo9qJ0akSqirGxseH7LxeQk5ODwWB47DKyFZ5brSiKoihVTWVpyxwcHEh5/nmCNm3CNdu4\ncOCopSU5AweqTtQjJiQkhNWrV+Pl5UXDhg3v+ThCCA8gVEp5vJz7PwNkSSmP5T23FXAHkIC3lDJK\nCDEd8JFSxtxzYHdBCPEWYHoTqgN3pJSlrx0pgepIVVGlJWZ4lJWnnpWiKIqiVGaVqS37aN06vmvf\nnu3/+x8SaPPSS8x8992KDku5zwIDA2nZsiWBgYEF1rg/aFLK3wpt8pFSHhdCtAXGAgseWjB/xvSt\n6bYQYgTGjt09eTx/jStVlim1e+GU7YqiKIpSVVSmtszMzIzX//Uv+Ne/KjoU5QHJzMwkMjKSadOm\nsXLlSq0jFRERwc6dO7GystIyPI8ZMwYhBFOnTuWpp54CcBBCvA+skVKm5j+uEKIpMAKwAtIAvZTy\nVqF9hgCZUsp9hcI6D+SvUdNNCDEGsAbWSynPCyEsgDFAMyAX+FFKGS6E6A10BCyB+kCIlHJr3vna\nAkMACyAxL6bM4t4XYUyD3Q34dznfyiLM7vWJilIR/vjjD/7444+KDkNRFEVR7plqy5SH4URIKN4/\n/sS+ffto164d9vb21KhRg5iYP2fQXbx4kdGjRzN//nwSExM5ceIEYOx8NW3aFCAOY6enQIVkIYQO\nGAV8LaVcDBwG/n4X4XUEYvPd10kplwCb853rWQAppRewBng9r3MF0Bj4FuOIlqsQorYQwgb4G7BC\nSrkIiAaeLyWGlkCKlDLhLuIuQI1IKVWKu7t7RYegKIqiKH+JasuUB+nOnTu4T5rDWYtu3KndFsOh\nxTzftSnjxknc3NwIDAw0dZJwcnKiXr16ALi5uREZGUnXrl0RQuDm5mY65DHgH4VOYw84AO/l1Tc1\nA25RNnchxCAgFfgu33bTmqtLQN282y2BXwCklPFCiOt55wU4J6W8AyCEuJr3HOu8mD7Mi0kHRJUS\nS3cgsBwxl0h1pJQqxcbGpqJDUBRFUZS/RLVlyoP04cLPOdl8Ojo7R8wzb3PTqiG+ATG8MmoMLZyM\nHajhw4ff7WELp/kWQJyU8pO7PI5PCYkqcvL+a6B8M+Zy8t3O/5wwKeWasp4shDADugCLy3GuEqmp\nfUqVEh4eTnh4eEWHoSiKoij3TLVlyoN08nIaOjtjWZysK8exataTWuO2oKvXkqVLl1KvXj1tnV50\ndDRJSUlIKQkKCtLW7UkpCQ4ONh2yOxBZ6DTXAFshRHMwTvUTQjhwf53POzdCCHugDhBfyv4XgZZC\niAZ5z7HKe15x2gDxUsobfyVANSKlVClHjx4FoHXr1hUciaIoiqLcG9WWKQ+STvw5eJR1KYBqLgPB\nkIOlubEAcdeuXQkICMDNzY1mzZqxadMmLdlEly5dALCysiI6OhqgEeCCcT2SRkqZI4T4GhgphKiO\ncRrdzxjXVN0vh4AxQoh5GJNN6PPOW+zOUspUIYQemCCEMPVxdmDs9BXmBgT81QBVQV6lSklPTwfA\n2tq6giNRlKpLFVg0Um2FUlFUW6Y8SF7LVrM2qTc06qRtszjxLd9P7krP7t20bREREezbt48pU6YU\nOcbUqVP54osvVHtRBjUipVQpqtFRFEVRqjrVlikPkue0iVydtZTDx3Zx26Y5tVNOM75/2wKdKOX+\nUCNSVcT9qkit1+vp2LEjXbt2Ldf+v/32G5aWlvTs2RO9Xk9ERATVq1dHCMGYMWNo3rw5y5cvx93d\nXcsA8yCdPXsWb29vBg0aRM+ePQHYsGED9vb2DBgw4IGfX1EeBeoKo9Gj2FYoVcPZs2cBaNOmTQVH\nojzKbt26xdWrV3FycsLKyuqejqHai9KpZBNVRP6K1A/TM888o3VYwJiy1dPTk2HDhvH9998/1FgA\n/P39sbe3Z+fOnaSnp3PhwgUuXrxI//79H3osiqIoinIv/P398ff3r+gwlEdcrVq1cHFxuedOlFI2\nNbWvCvgrFanDwsKoVasWEyZMwNbWtsBxY2Ji+PHHH8nMzMTGxgYPDw9q1apVYB9fX1+srKyKjPY4\nOzuTkPBn/bLg4GC8vb1JT09n/PjxODs7k52djbe3N9HR0eh0OkaMGEHr1q05cuQIoaGhZGVlkZiY\nSOfOnbU0nGFhYfj6+pKdnU39+vXx8PAo8AUwatQoAH755Re2bdumFZIzM1PXBBRFUZSqwdSWKYpS\ntalfn1VASEjIPVeknj9/Ps7OzuzatavAMXNzc/nhhx+YOHEic+bM4cknn+Snn34qd0yhoaE4OjoW\nON6sWbMYOXKkdq5ff/0VgHnz5jFhwgTWrVtHdnY2AJcvX+att95i7ty5BAUFcePGDdLS0vDzyn4U\nEQAAIABJREFU8+O9997jo48+olmzZuzfv7/AeatVq0a1atUYMGAAp0+fxsHBAWdn5/K/mYqiKIpS\nwUxtmaIoVZsakaqkbty4gd/+X6lftzbhYae0qWv3UpG6Z8+erF69usDxr127RlxcHCtWrADAYDAU\nGY0qjo+PD7t378bW1pbXXntN225ac9WkSROuX78OQGRkJH379gWgYcOG1K1bl2vXjBkoXVxcqF69\nOgCNGjXi+vXrpKenExcXx6effgoYO2fNmzcvcP7Tp08DYGtri5SS+Ph4pJSUlApTURRFUSobU1vW\nvn37Co5EUZS/QnWkKqGVa39g1Z5zJDcZglnqFXIPfEPY2bPUtrPDYDAAd1+RunBHQ0qJg4MDM2bM\nuKvjuLu7F5uowtzc+FEyMzPTYiyNaf/Cz2nbti0TJkwo8XlBQUFaB+rNN9/k0KFDHDp0iGefffau\nXoeiKIqiVBRTkhPVkVKUqk1N7atkrl69ylf7okh7cj6WjbuRY1WH7B7TuJhmzccff3xPFakDAgK0\n7Sb29vakpqYSFRUFGEd/4uLuZw014zqqgABjrbNr166RnJxcasZBJycnIiMjtbVXmZmZ2giWyauv\nvkqTJk2wt7enVatWjBgxgj179pCamnpfY1cU5a8TQtSp6BgUpTJ69dVXefXVVys6DEVR/qJSR6SE\nEB0wVjJ2BP4HzJBS3sh7LEBK2f3Bh/h4Wf/jLlJajdH+YUwVqS/FXOX27dvUqFHjripS+/n5YWtr\ny1tvvVXgPObm5kycOJHNmzdz584dcnNz6devHw4ODvfttfTp0wdvb2+8vLzQ6XR4eHgUGIkqzNbW\nFg8PD9asWUNOTg4AQ4cOxd7eXtsnIyODn3/+mZkzZwJgZ2dH//792bZtW4GphoqiPFxCiCeBNYAB\neANYBDQXQlgCr0gpj1ZkfIpSmVhYWFR0CIqi3Ael1pESQvyBsTE8BkwAXgdeklJeEEKckFJ2eThh\n3p2qXBtk5ZrvWXyhKxYN2xbYXvOoF0HfzSyQwa48FakfNaGhoQB07NixyGN+fn4EBARgZmaGEIKx\nY8fi5OT0sEP8y/z9/dm7dy8GgwGdTkfTpk1xd3cvtYDj3dYHu1uhoaHs3LkTKSW5ubk899xzPPPM\nM4BxioopwcgTTzxR7NTMSZMmFUhO4ubmxsCBAwvsU9rnWbm/HkRdECFEAPAmYAP4An+XUv4hhOgK\nfCmlfPJ+nu9+qMpthVK1ldaWKUploupIla6sNVK2Uso9ebeXCSGCgT1CiHHAo1fJtxIY98pLfP3a\nAm7af6ata8pNS6Rt7SxVBwA4fvw4ULTxiYqK4tSpU3z00UeYm5uTlpamjWpVJWfOnOHAgQNMnToV\nu7w1cUePHiU1NbXUjtSDlJuby/fff8+sWbOoXbs2OTk5WkKRhIQE9uzZw4cffoi1tXWJUywtLS3x\n9PR8mGErD5+FlPIUgBAiUUr5B4CU8rgQonrFhqYolUtJbZmiKFVLmckmhBC1pJS3AKSUvwghhgNb\nATX3/QGoWbMmn09zZ/YX00i06YBF9g1cqiWw5j8fFdm3VatWtGrVqtjjPIqjUQDjxo0rdvutW7ew\nsbHRpg7a2Nhoj+3atYvQ0FCys7Np0aIFr776KkIIli9fTuPGjYmMjCQzM5PXX3+dPXv2EBsbi6ur\nK0OHDiUzM5NvvvmGmzdvYjAYGDRoEK6ursyePZvZs2djY2NDTEwMPj4+TJ8+HV9fX5KTk0lKSiI5\nOZl+/frx3HPPAbB79278/f2xsbGhTp06NGnSpEh9Lj8/P9zd3bGzswOMiTiefPLJMl9LfsXtI6Vk\n6dKluLu706pVK7Zv344QAhcXFw4ePMjkyZMBOHv2LL/++iv/+Mc/tONlZGRgMBi099Tc3Fybbvn7\n77/z7LPPap28wrXKynLmzBk2b96MpaVlgXV8qamp/Pe//+XmzZs0b96cs2fPMmfOHGxsbPD39+fg\nwYPk5OTg5OTEmDFjVB2xyiH/P8KsQo9ZPsxAFKXwrIwjR44QExPD6NGjH2oc69ev5/nnn6dRo0YF\nticmJpKYmFgg6+yqVas4d+5cqe13eno6AQEBd51g6aeffuLYsWOkp6cXOH5OTg7r1q0jJiaGGjVq\n8Pbbb1O3bt0Cz71+/Trz5s3D3t6e3NxcnJ2dtZqVivK4K6sj9QnQBuPUPgCklKFCiH6Aurz8gPR9\nuidHnurBxYsXqVmzppbeXAGdTlfgvpSS1NRUXFxc2LVrF56enrRp0wZXV1etk9m3b18GDx4MwNq1\nazl16pR2FdDc3JzZs2fz888/s2rVKubMmUONGjWYM2cO/fv3Jzw8HDs7O9555x0A7ty5U2aM8fHx\nTJ8+nYyMDObOnUufPn24fPkyx48fx9PTk9zcXBYvXkyTJk2KPDcuLq7Y7SalvZay9vHw8ODrr79m\n1KhRnDlzhpkzZ6LT6fD29iY1NRVbW1sOHz5coOMGUKNGDTp27MisWbNwcXGhQ4cOdO/eHSGElgzk\n008/xWAwMGTIENq1a1ck7qysLBYuXKjdf/HFF+nUqRMbNmxg2rRp1K9fn2+//VZ7fNeuXbRu3ZoX\nX3yRM2fOcPjwYcCYjCUoKIgPP/xQiz0gIICePXuW+m+iPBSeQghrKWW6lFIrSieEaAGsr8C4FKXC\njB8/vtjtZmZm2NjYcOHCBVq2bEl6ejq3bt0q83h37ty5p0y1HTt2pG/fvkVmBvzxxx9YW1uzaNEi\nAgMD2bZtW5E11QD169fH09MTg8HAv//9b0JCQrQ12WAsoaIuaCmPo1I7UlJK7xIeSgD23f9wFBMh\nRJEaSoqxODFA586d2b55E4d2/Egdc8nNbHDp1YdnB/6N8PBwvv32W15++WV69+5NeHg4e/fuJSsr\ni/T0dBwcHLTOR6dOnQBwdHTEwcFBq6VVv359kpOTcXR0xMfHh23bttGhQ4dyFf/t0KED5ubm2NjY\nYGtrS0pKChcuXKBz585YWFhgYWFRrukcsbGxrF27loyMDF5++WVcXV1LfS0mJe3j4OBAz549+eqr\nr5g5c6Y2etezZ0/8/f3p3bs3UVFRvPHGG0ViGT9+PLGxsZw9e5b9+/dz9uxZPDw8MBgMJCQkMH36\ndG7cuMGyZcuYO3dukWmIxU3tu3z5MvXq1aNBgwYA9OjRg99//x0w1iAzjYq1a9dOO965c+eIiYnh\n448/BiA7O/uuR8GUB0NKubOEh2KBiw8zFkUpTeE1pabRq8zMTFatWsXt27fJzc3l73//O506dWLf\nvn2Ym5vz3HPPsWXLFq5cucK0adM4d+4chw8f5s033yQsLAxfX1+ys7OpX78+Hh4eWFlZsXz5ctzd\n3bXajyaxsbE0b96cwMBAWrZsyYkTJ+jatSu7d+8GKDGWbdu2kZiYyMKFC2nbti3Dhw9n3759BAUF\nkZOTQ5cuXRgyZEiR11zS74mTJ09q+3fr1o1NmzaVWpvRzMyM5s2bk5CQQEREBDt27MDa2pr4+HgW\nLlzIgQMHtAtfTz31FP369bu3fyRFqSLKXUdKCKEDXgBGAwOA34EfH1BcilIsU0cqJyuT8//7kdlP\nt9Ee23cumNMn7Bk2cjSOjo4cPXoUNzc3vL29mTNnDrVr19YaOpP89a/yZxQUQmAwGLC3t2fOnDmc\nPn2aHTt24OLiwuDBgzEzM8OUqCX/8fIf03Tc8tTVMnFwcODSpUu0bt0aR0dHPD092bRpE1lZWWRn\nZ5f6WkyxlLZPbGws1tbWpKSkaNt69+7NypUrsbCwoFu3biVeVXR0dMTR0ZGePXsye/ZsPDw8qF27\nNk5OTuh0OurVq4e9vT0JCQk0a9as3K/5bvXq1YuXX375gR1f+etUe6FUtMKj4Ldv39YunJXEwsKC\nf/zjH1SrVo20tDSWLl1Kx44dadmyJfv37+e5554jJiaGnJwccnNziYyMxNnZmbS0NPz8/Hjvvfew\nsrJi79697N+/X5sZUJy4uDgaNWrE+fPnMRgMBAYGMm7cOK0jVVIsw4YNIy4uTrswFRYWRkJCArNm\nGWfTrly5kvPnz5froh/AzZs3qV27NmBsr6pXr87t27cLTI8v/L6eO3eOl156CYBLly4xb9486tWr\nR0xMDIcPH9ay6i5ZsoRWrVrRuHHjcsWiKFVRedZI9QHGAH8DAoAnAScpZfoDjk1RivDw8ABg9juT\n+Kfrn+vDElLS6OJYl3V7dzNs5GguX75MnTp1tE6EjY0NmZmZHD9+/K4y2928eZMaNWrQo0cPqlev\nzh9//AFA3bp1iYmJoX379tqi4dK0aNGC77//noEDB2IwGAgNDeXpp58ust+LL76Ij48PkydP1ho3\n02soz2spbZ8TJ05w+/ZtPvjgA7766itmzZqFtbU1dnZ22NnZaT8ECsvMzCQmJkabKnn58mVtDn3n\nzp0JCAigd+/epKWlce3aNerXr1/2Gws0bNiQpKQkEhMTqV+/PoGBgdpjLVu2JDg4mBdeeIGwsDDS\n041fNy4uLqxatYr+/ftja2vL7du3ycjIKDKnX6kYqr1QKtKVK1dYvm45CSkJxF+M56uvvtIubJnW\nSJVGSsn27ds5f/48Qghu3rxJamoqTZs25dKlS2RkZGBubk6TJk2IiYnh/PnzjBo1iqioKOLi4vj0\n008BY4KesmaUuLm54e7uzuHDhwkMDCQ7O7vA91hJsRQWFhZGWFgYixYtAozf1wkJCeXuSJWXaRRM\nCEGnTp1o3749ERERNGvWTFt+EBkZSZcuXbTEWF26dOH8+fOqI6U80sqqI3UFuASsBj6QUqYKIS7e\nr0ZRCDEQ+BzQAWuklEsLPW6FcW59N+A6MFJKGX0/zq1UbYbsLCzyrZfKzM7lp+Awjl5MZMGCBTRo\n0ICxY8dibW3N008/zfz586lVq9Zdj5TExsaydetWhBDodDqtgOLgwYNZv349O3fuLDHhR37NmjWj\nU6dOLFiwgJo1a+Lo6Ej16kUTmbVv357U1FS++OILpJRUr14dR0dHbXpbWa+lpH3S0tLYtm0b06ZN\no3bt2vTt25fNmzfz+uuvA9C9e3dSU1OLLIgGY4O+d+9evv/+eywsLLCystI6tG3btiUsLIz58+cj\nhGD48OHUqFGjyDEKXx1u164dw4YNY9y4cXz55ZdYWlri7OxMRkaG9v6uWbOGY8eO0bx5c2rWrEm1\natWwsbFh6NChrFixAiklOp2O0aNHq45UJfCg2wtFKc2x4GNM/mYyuaNyMa9lTvTJaIZNGcb2lduL\nrK3NP1NASqllePX39yctLY05c+ag0+mYPXs22dnZ2oj7kSNHaNGiBU888QTh4eEkJibSsGFDEhMT\nadu2bbGlH8ri5ubG6tWri0zHKymWwqSUDBw4UCtHcbfs7Oy4ceMGtWvXxmAwcOfOnWK/w01rpApT\n2YQfjpCQEFavXo2XlxcNGza85+PcbamU3377DaAGgBDCA2gF3MGYudtbShklhJgO+EgpS79ScZ8I\nId4CTG9CdeCOlHJhoX3qAl7ANYx9jPOAN8ZEeVOklF73K56yRqR8gL8DI4FcIcQO7lPa87ypHyuB\n54ErQKAQYqeUMizfbm8CN6SULYUQozAmvxh5P86vVE3BwcEAuHTtTmhMMB2fMK6vaVy3FiN7dKB6\nO2tmz51b4DlDhw5l6NChRY41ffp07XbhDIj5HysueYKzs3OBjoFJ4cZw3rx52u0BAwYwZMgQsrKy\nWLZsWZE58ya9evWiV69exT5W0msxdWxK2yd/vKZMgiaRkZHFjpABVKtWTUu2UZgQghEjRjBixIhi\nHzf5v//7v2K3t2vXjgULFhTZXr16dd59913MzMyIiooiOjpau7Ls6uqKq6sqaVEJPbD2QlHKsnDt\nQngbzIXxe0JXR0dUtyi27d7GiJcKfj/Vq1ePS5cu4erqysmTJ8nNzQWMiRxsbW3R6XSEh4drZR7A\nOEq+b98+XnvtNRwdHdmyZQtNmzZFCIGTkxPe3t4kJCTQoEEDMjMzuXnzZoFi8oVduXKFU6dOMWjQ\nIAYOHIibm1uBx0uKpVq1atoFJzB+h+7YsYMePXpgZWXFzZs30el05V472qlTJ44ePUrz5s0JDg7G\nxcXlnrPxOTs7o9frGThwIFJKQkJCil1zq9w901q6wMDAYtfAPSh5HfTb+Tb55JW0aAuMBYo24A+Y\nlFLLTCWEGIGxY1ecRCnlQiGEGTAN6IzxYt99VWqKFSnle4ATsBx4FggH6gshXhFCFD+Btvy6A5FS\nyigpZRbwA1D4199Q4Lu82z5AP1GO/8OvX7+uraXJzc1Fr9drxe+ys7PR6/WcPn0aMKZ21uv1nD17\nFjCmFtXr9YSHhwPGK/l6vZ7IyEjAmGZbr9cTFRUFwI0bN9Dr9URHRwOQlJSEXq/n8uXLgLHOjl6v\nJzY2FjBmdNPr9cTHxwPGEQ+9Xk9CQgJgnDal1+tJSkoCIDo6Gr1ez40bNwBjvSS9Xq9l94mMjESv\n15OWlgYYU5w+++yzWnxnz55Fr9drX7ynT59Gr9drV7ZCQ0PR6/VaQxISEoJer0ev13P8+HGCg4NZ\nv/7PhFuBgYFs3LhRu3/s2DE2bdrEb7/9xrFjxzhy5AiTJ09m9uzZLFy4kLfeeouVK1cCsHz5cjZv\n3sy2bdu05//yyy/s2LFDu3/gwAF8fX21+/v27dPmjIPx6shvv/3G2DcmsPtaNhuib3Mg2cCvEZf5\nKuQKLl3dOHDggPZejh8/njfeeIOPP/6Y6Ohotm3bxqFDh7TjffHFF4wYMYKFCxcyb948ZsyYwZEj\nR4iIiOCrr75i06ZNHDumJa1k48aNBaagrV+/XuvcgfFqT0mfPb1ez7Bhw5g6dSpdunShQYMGleKz\nN2vWLGJjY3FwcPhLn73w8HD0er02De9eP3sAycnJ/POf/2T48OH88MMPjBs3rsTPnsmRI0fYsmWL\ndv+PP/7Ax8dHu3/o0KG/9Nnbs2cPe/bs0e7v3r2bffv+zLnj6+urffYAduzYwS+//KLdL/zZ8/Hx\n0aaKAmzZsoUjR45o9+/nZ6/w996D8IDbC0Up1XWz60U6AJZdLdlzZE+RfZ966ikiIiJYuHAhUVFR\n2qhKjx49iImJwcvLi2PHjhW48u/s7MytW7e0EXILCwtt+pytrS0eHh6sWbOGBQsW8Mknn2jfsyWJ\nj48nIiICIQQDBgwosiappFhq1KhBixYt8PLyYuvWrbRt25bu3buzdOlSvLy8+Prrrwt0tEy2bt3K\njBkzyMrKYsaMGdp33ZNPPklaWhofffQRBw4cYNiwYWW91SVq0qQJvXv3ZsmSJSxdupSnnnpKTeu7\nDzIzM4mMjGT8+PEF2oCIiAiWLVvGl19+ydy5c9m4caO2dnvq1Kls2bKF+fPn85///KfYaaExMTEs\nW7aMxYsX8/nnnxebNTLvc1KzmLDOAw3y3e8mhJglhFgohHAGEEJYCCFeE0LME0J8JIRonbe9txBi\nkhBiat7+w00HEUK0FULMyNt/Yt7MtGLl9Qe6YZxGXiIppQGIKhSvKY7R+e5PEUK0EkKYCSE88uKe\nJ4ToX9rxy1wjJY3/Kr8AvwghLPhzAfEq4K/k5XYELue7fwXoUdI+UsocIcQtoC6QVPhgQoi3gbfB\nuCj+cXXq1Cns7e05fvz4Q836Z5pWYPoh6O7uTteuXdmwYQO7du3in//85305T5s2xuQS5ubm/Pvb\ndaxb+18uxcfT9YVRrBowsMAP361bt+Lq6kqHDh2oX78+W7duxcnJqcgxn3jiCTw9PcnMzGTMmDHE\nx8c/kJTzb7zxBlZWVri6utK+fftiG7uK8P7779OgQQOtA1YZNGjQgAkTJnDmzBktfXBiYmIFR6WU\n5QG2F2oquFIqa4M1t/jzh2DjDxuTeTmT1k1aA8akOr179waM9RpNCREArfNgY2PDjBkzij2+i4sL\nq1ev1u4XnpHg4uLC7Nmzizwv/+yG/PJfBMrPVOOptFgKTyHs169fmdnxhg8fzvDhw4tst7CwYOLE\niaU+t27dugVmV5gUV8uyf//+9O9f6u9O5S6FhITQrl077O3tqVGjBjExMdqMlosXL+Ll5UWdOnX4\n4osvtOyPmZmZNG3alFdeeYVdu3axa9euAjXUcnNz+eGHH5g8eTK2trYEBQXx008/8dprr5U3rI4Y\nM7Ka6KSUS4QQ7YHBwH8wXlBDSuklhGgIvCeEMM0PbQwsAnKABUKIg0A2xvW1K6SUmUKIFzDOWttV\nQgwtgRQpZUJpgQohLAEXoKTMsoU1BuxM0/+EENal7SxMvdcSTt5ESlnsMJgQorqUsuyiOiUf2x0Y\nKKWckHd/HNBDSjkl3z6n8/a5knf/Qt4+RTpS+bm6usqgoKB7Da3KyszMZO7cuUybNo2VK1dqU6Yi\nIiLYuXMnVlZWJCYm0rp1a62Y3tSpU3nqqacICwujVq1aTJgwAVtb2wLzaGNiYvjxxx/JzMzExsYG\nDw8PLU24ia+vL1ZWVgwYMKDAc7Ozs3n//ff56quvWL58OU5OToSHh5Oens748eNxdnbWMs1FR0ej\n0+kYMWIErVu35siRI4SGhpKVlUViYiKdO3fWGoKSUs3m9/nnn/Pkk0/i6upKYGAgJ0+eLNIARURE\nsG/fPqZMMX7svv32W7p06ULNmjW17flfG4CXlxdTpkzBxsam2GK9ilLZCSGCpZT39cP6gNsLHRBB\nvqngwOj8U8GFEJOBjlLKSXlTwV+WUpY6FfxxbSseRf+38f9Ynbga82eM14cNmQasvrZi/5f7VYkE\npcpJSUlh80//w0wIbly7xKBBg2jTpg0HDx4kOTkZd3d37bfdBx98AMDhw4eJjY3llVdeYdKkSaxa\ntQozMzOSkpJYvXo1np6e2u+zhg0b8sknn2gXjQ0GA7Vq1SqScMrX15eXXnrpvJSyVaE1UqnAFill\nXN4aqZ+klBeEEDWBD6WUHwkh/gH8IqU8ByCE+BewCWgCtJBSbsjbPhXwA6wBD+BG3ul1QJSUstg6\nhEKIV4EEKeX+Yh7Lv0ZKAiellL5526fkde56A02llJvynjMFY2mnK8Ac4FTeX5gspbNU1ojUT0DX\nvBNslVJqlzP+SqOYJxZjr8/kCQr2bvPvc0UIYQ7UwnilUSlGZbxqERoaWmCEMDc3l1mzZnH69Gl2\n7drF+++/z6+//goY1xPFx8ezYsUK7Wrf5cuX+eijjzA3N2fu3LnY2dlhbm5OYGBgmalmX3nlFT7/\n/HN8fHyQUvLhhx+WGuvt27e5ePEigwYN0qarlebMmTN3XaxXUR5hD7K90KaC5x3fNBU8/5raocD8\nvNs+wFdCCFFaA6g8Oia9OgnLzZZsXruZDF0GDjoHlngtqbSdKNMUrcJroxRl++4DzF33M9dbjMaQ\nmU6271L8g07g3LypliSluNHF0hSe9iqlxMHBocRRz1L4SCmLS1Wck/dfA2UsGyq0f+HnhEkp15T1\n5Lx1T12AxaXsllg4CUUhuUD+N8YCQEqZLoRYALQD+gCu/LnMqIiyXmz+E9zveWKBgLMQwilv2G0U\nRYfddgKmX+zuwEHVKP7pypVY3vpgEYPenseE6QvZt2+/9qXs5uZWYC6tk5MT9erVw8zMDDc3N23d\njRBCe07Pnj217SbXrl0jLi5O69zs3r1bWzNTGh8fHxYuXMjvv/9eoNNlyhTTpEkTbfFsZGQkPXoY\nZ3U2bNiQunXrcu3aNcA4XaJ69epYWFjQqFEjQkJCOHLkiJZqduHChRw9epTk5OQiMRw6dIhXXnmF\npUuXMmLEiAJrvfI7f/48ixYtYsWKFQwcOBAHB4cyXx8Yp5CePXuWbdu2cf78+WKz8CnKY+RBthfF\nTQUvPIe7wFRwwDQVvESP83ra+7mmESj3elqTB7Gm0d7Gnr1f7eXQ54d4bcBrnDt7Tnu8sq1pPHjw\nIKbRUPXZq/qfvfu1njYrK4vd+3/FyW0gFg4dkYZs2nZ7Cp1dExYsWMDSpUuJjY3V4o+Ojubrr7/m\n6NGjBAUF0bJlSzZu3EhCQoL2eVuyZEmB+pA7d+7k6tWrpKamcv78efR6PSdOnCAuLq7IZy8rK4u/\n4DzGi2AIIewxZswrbfHgRaClEKJB3nOs8p5XnDZAvJSy7B+kJbsONBZGtYFmeee1wThj7zjGC4RN\nSjtIWSNSsoTbf1nemqcpwF6Mw3drpZRn8nqBQVLKncB/gQ1CiEggGWNnS8HYiRo05TOSe3ph1rgW\nISlXyVj3IlevXsXOrlaFX7UwrZEqLH8B3PIUqi1c3HbIkCFkZGQQEBBQZqrZo0ePMnKkcWZPt27d\n2LBhQ7H7OTs7a1P7iqPT6cjffzd9uZdUrFdRHlMPrL24n9R6WqUysLe3p3PnzhUdhlLJBAQEkFHt\nzyQnWZcCqNPUiVRza0JCQnB1dcXJyYmwsDC6dOlCs2bNOHr0KP7+/vTr148uXbpw9uxZLCwsiI6O\nxs/Pj6tXrxbJ5Gtubs7EiRO1CwD+/v6MGTOm3HUgy+kQMEYIMQ/j6I8+77d/sTvnlczQAxPyZqEB\n7MA4Pa8wN8pIMlEOFzDmXPACrvJnRj87wCNfcrvtpR5FSlniH8YXnoJxLmRO3m3T/ZTSnluRf926\ndZOPujenLZBPLL0lm6yQsskKKRu885usPXKNHD91nrbPZ599JiMiImR4eLj85z//KRMTE6XBYJAr\nVqyQwcHBUkop3377bRkQECCllHL37t1y06ZNUkop161bJ4ODg2V2dracM2eOvHDhgpRSypycHBkb\nG1sknp07d8q9e/cWeG5hy5Ytk9HR0VJKKVNTU+WsWbOklFLu379ffvfdd1JKKePj4+XMmTNldna2\nPHz4sPT29tae/+WXX8rw8HCZkpIiZ8yYIa9duyallDIjI0PGx8cXOd/cuXNleHi4lFLKs2fPykWL\nFhXZJzw8XH755Zelbj927Jj85ptvpJRSxsTEyIkTJ8qkpCR548YNmZWVJaWU8uTJk3J6200cAAAg\nAElEQVTlypVFjqMolRHGi1X39Xv3QbYXQC9gb777s4BZhfbZC/TKu22e10CK0o77OLQViqJUHSEh\nIbLphE3abzvTX/PX18lz584V2Lek3y9SSvnOO+/ct5geRHvxKP2VOiIlpdSV9rhSceJScjBr8mdG\nyqxLAVRzGci1pD/Xenft2pWAgADc3Nxo1qwZmzZt0pJNdOnSBTAW0zNdtbC1teWtt94qcB7TVYvN\nmzdz584dcnNz6devX7mnv5VHnz598Pb2xsvLC51Oh4eHR4GRqPxCQkJITk7WUs2aCikOHTq0SM2O\ncePGsXnzZgwGA+bm5owdO/ae4uvatStHjx5l/vz5ODk5aecpqVivojyOHnB7oU0Fx7h2dhQwptA+\npqngR1FTwZVKzjQNsGfPnhUciVKZdOzYkSY31xCd/XeERTUADFnpNEk/TuvWHhUbnFKsUrP2VVWP\nQyYmj/e8+NnhA8ys/qxAbsi6Q59LS/n+y4IFmwtnpstv6tSpWrrVqsA0zzl/QgxFUe7Og8ja96AJ\nIf4GrODPqeCL808FF0JUAzZgXICcDIySeckpSvI4tBVK5aTaMqUkV67EMmH2f4jJbQjSgJNFAms/\n+aBAXbOHqSq2Fw9TmXWklMpp7ruvETzNi5u9vTCzrI7MzqDWUS/mfvJW2U+uwlSjoyiPJymlH8YU\nufm3zc13OwMY8bDjUpR7odoypSRPPOHInvXLuHHjBkII7OzsKjokpRRqRKoKOx8ZxfzP9f/P3r3H\n5Xz+Dxx/Xffd+aASKiGllFNOOYc5DBubrzkM2xezfcfMzPiOyRxiMxt95+c7fLfZNCZjY4yZhTmf\nwiQ0KlQoSqSSjvf1++Ouz0oHh5nE9Xw89th9f+7P5/pc91267vd1eF8kZwqqWUpmjBuGd33Piq6W\noiiPONXDaPSktBWKoij3S7UX5VMjUpWYl6cHK/87q6Kr8VAVppst3KFeUZ5kdzM1d/v27XTs2BEz\nM7MHcs+C1LDzgFVSyt0PpNDy79cB6I4xE6DAuPHj8XLOfw7IllKGCiGcgX8VXPs5MFJK+fHfXWdF\nuRPVlinK40EFUkqlcvHixYqugqJUKtu3b6dNmzYPLJACWgLnMO4P8rcGUgV7ezwLfCClvCWEMAfu\nZYfVZsDRgmmBACqIUh4Jqi1TlMeDCqSUSmXQoEEVXQVFeeRERUWxceNGbGxsuHTpEm5ubowcOZId\nO3aQmppKUFAQNjY2TJw4kcjISABnIcT7QDIQjHFz9inAIinlFSHEa8AZKeWeUm7XCvge414fDrJg\nQ0QhRHvgGSAT44a5eVLKVUKIEUCENG5uiBBioZRyXEFQNAawxphAorSRJlsgC8gGkFJmFz4WQlQH\nhhSckwOskFJqmz0KIRoD3QCDEKKBlDKo8N4Fr/do2bLl/X3givIXqbZMUR4PKpBSFEV5DMTHxzNz\n5kzs7e355JNPOHv2LF27dmXbtm1MnDgRGxsbMjIy2Lx5M8AVKeUHQoiewNNSyk1CiFUYNyH8DbAq\nLYgqGCGyk1LGCiGOAH7AViGEHfA88CFwC5gAXLhDlXOBJVLKrILpgu8JISJuS1l+EeNeVHOEEH8A\nx6SUEQWvvQyslFImFaRFHwr8p/BCKeVJIcRuCqb53fY+GgI17vypKoqiKErZVCClVCp79+4FwN/f\nv4JroigV4/Lly2zcspVqDvYYDAbtuLu7Ow4ODgDUqlWLlJQUPD2LJ585d+4cCQkJYByRmoZxJOgc\ngJTyDyFES4yjPLPLuH0r4GjB4yPAMGAr4I5xBCsdoCDIciq1hD8JoJ8QwgvjGiZ7jKNLaYUnSCkN\nQoiFgBvQABgkhHADQoF6wKg/N5+/p/asYcF/ilIhVFumKI8HFUgplcrly5fvfJKiPKYWLQ1m5x8J\n1PF/nqzrKfyyfTdR0dEAxTax1ul05Ofnl1pGw4YNARKllMWCJWGMSFwwTpOzAq6XcnkroIoQonXB\nc3shxJ1GdgwYpw4W3qOwom0AG+BDKWW+EGIOYHr7xQUjVLFArBAiEhiBMXi7dft7uAcC2IJxOqOi\nPHSqLVOUx4MKpJRKZcCAARVdBUWpEBcvXmTXmcu0fPld7ZiTrz8zgxYzc8IbZV5nbm5OVlYWNjY2\nuLu7ExISAgV/+wvWKdlLKa9gzIyXCKwHhgshPpZSatGYEMIJMJdSTi5y7DmMSSf2AC8KIawxrmlq\niXFaHsBVoA7GEaymGEfBACyB9IIgyhtwvL3uQgh7oIqUMr7gUG0gpWA64FUhREsp5dGCAM1VSnm3\nK/hPAX3v8lxFeeBUW6YojwddRVdAURRFubPvN/yMR5fi+80KnY5cq2pkZmaWeV2nTp1YuHAhQUFB\n2NraMmLECIBqQojpwGSM0/ycAH/gByllNBCNMVteUa2A8NuOHQNaSSlvABuB94BJGAOyQnuB+gVT\nCT0oSBYBHALchBAzgLZAaV30emCAEGJWwfV+wOqC174COhQcn4ExQ99dkVJGAmF3e76iKIqilEZt\nyKtUKrt27QKgc+fOFVwTRXm4lq0IIcLcByevJsWOH1k2m5D5799TevO/e4PFggx+blLKVX/XPR4E\n1VYoFUW1ZUploTbkLZ8akVIqlZSUFFJSUiq6Gory0A16oS9nt3xD0c6vtOQEnC3kg9wjSlGUh0C1\nZYryeFBrpJRK5YUXXqjoKihKhbC2tmbam8OZt+Rd9DXcyb+VTjV9NvMDAyq6aiVIKfcD+yu6Hory\nqFJtmaI8HlQgpSiKUkm0atmCNV+2ICkpCSsrK2xsbCq6SoqiKIryxFKBlFKp7NixA4AuXbpUcE0U\npeLUqKH2klWUyky1ZYryeFCBlFKppKWl3fkkRVEURXmEqbZMUR4PKpBSKpW+fdXWL4qiKErlptoy\nRXk8qKx9iqIoiqIoiqIo90gFUkqlsm3bNrZt21bR1VAURVGU+6baMkV5PKipfUqlcuvWrYqugqIo\niqL8JaotU5THgwqklErlueeeq+gqKIqiKMpfotoyRXk8qKl9iqIoiqIoiqIo90gFUkqlEhoaSmho\naEVXQ1EURVHum2rLFOXxoKb2KZVKbm5uRVdBURRF+YvS0tJYs2YN58+fx8rKChMTE3r06EHz5s0f\n6H0CAgIICAjAxsbmrs4PCgrixo0bmJqaYm5uzvDhw3FycmL58uU8/fTTuLi4PJA6ZGZmsmXLFvbu\n3YtOp8PX15cXXnjhnstWFKViqUBKqVR69+5d0VVQFEVR/gIpJUuWLKFdu3a89tprAKSkpBAREVHB\nNTN69dVXcXNzY8+ePfzwww+8+eabDBs27IHe49lnn6VBgwZ4e3uTl5fHp59+ysmTJ2ncuPEDvY+i\nKH8vFUhVIuPGjWPhwoXa8/379xMXF8eQIUMeaj3K6pkLCgoiOTmZjz76CCEEAIsXL+b06dPF6n27\nzMxMwsLCeOqpp+6pHuvXr+fgwYNkZmYWKz8vL49ly5YRFxeHtbU1r7/+Oo6OjsWuTUlJYcaMGTg5\nOZGfn4+XlxdDhw7V6q0oiqL8Pc6cOYNer6dTp07aMUdHR7p06QIYZx6EhIQQGxuLXq9n4MCBeHt7\nl3k8JyeH4OBgEhIScHJyIjU1laFDh+Lm5lbsvocOHeK3334jLy8Pd3d3hg4dik5X9goHLy8vtm/f\nDhjbtwEDBmBjY8OCBQuYPHky1tbWzJ8/n969e9OwYcN7Kt/MzAxvb28ATExMqFOnDtevX/9Ln6ui\nKA+fWiOl3LNhw4aVOb3BysqKs2fPAsYA6caNG3cs79atW+zateuu7r1lyxa2bNkCgK+vL1OmTClx\nzt69e7GysuKDDz6ge/furFu3rtSyqlevzrRp05g+fTqJiYmEh4cXe91gMNxVnRRFUZQ7u3nzJus3\nbmbjz79Qq1atMs/buXMnADNmzOC1115j2bJl5ObmlnvcysqKmTNn0rdvX+Lj40uUmZiYyJEjR5g0\naRLTpk1Dp9MRFhZWbn0jIiJwdXUtdszR0ZGePXuycuVKtm7diouLCw0bNrzn8ou2ZZmZmURERNCg\nQYNy66MoyqNHjUg9JoKDg/H19aVFixbAn6NX2dnZLF68mJs3b5Kfn88//vEPmjZtSmhoKCYmJnTt\n2pU1a9Zw8eJFJkyYwOnTp9m3bx+vvvoqkZGRbNy4kdzcXKpXr86IESMwNzfXeuZu7+0DaNWqFYcP\nH8bT05Njx47RokULfv75Z4Ay67Ju3TqSk5OZPXs2DRs2pH///oSGhnLkyBHy8vJo3rx5qaliPTw8\nSv0sjh8/rp3fsmVLVq1ahZSyzNEmnU6Hh4cHSUlJREVFsWHDBqysrLh8+TKzZ89m27Zt7Nu3DwB/\nf3+6det27z8gRVGUJ9jqH39hzspdJNV6jrzzOdglLsO3WQsa+tRn1apVxMTEoNfrCQgIICYmRhud\ncnZ2xtHRkStXrpR7vPDvcs2aNUsEPwCnT58mLi6OOXPmAMZRL1tb21Lr+tVXX2Fqaoqjo2OpMz78\n/f05evQou3btYtq0afdcflEGg4GlS5fStWtXqlWrdsfzFUV5tKhAqhLJyclh9uzZ2vObN2/StGnT\ncq8xNTXljTfewMLCgoyMDObOnYuvry+enp5s3bqVrl27EhcXR15eHvn5+cTExODl5UVGRgabN29m\n/PjxmJub8+uvv7J161b69OlT7v18fHxYsWIFBoOBw4cP889//lMLpMqqywsvvEBCQoLWIEVGRpKU\nlKSNNi1atIjo6Gi8vLzo1avXHT+n1NRUHBwcAGOQZGlpyc2bN8tcbJyTk8Pp06d5/vnnAYiPj2fG\njBlUq1aNuLg49u3bx3vvvQfARx99RP369aldu/Yd66EoiqIYE0t8sHIPaR3nYgYIK0euGgRjZi5m\n53cLGDJkCBkZGVoQ8ndp164d/fr1u+N5hWukypKTk6NNw8vOzsbCwuKeyge0tuybb76hRo0aqoNO\nUSopFUg9wm7cuMHEjycSnR6NXupJP5nOokWL0Ov1wJ9rpMojpeTHH38kOjoaIQSpqamkp6fj5uZG\nfHw8WVlZ2vzsuLg4oqOjGTx4MOfOnSMhIYFPPvkEgPz8/DJHgIrS6XR4enpy+PBhcnNzi61NKqsu\nt4uMjCQyMpIPPvgAMDZUSUlJeHl53fVndzcKR8GEEDRt2pTGjRsTFRVF3bp1tZ7BmJgYmjdvjrm5\nOQDNmzcnOjpaBVKKoih3acPmbVyt2x+zgucmNbxB5nP2uiQxMREXFxdycnK08728vAgLC8PHx4cr\nV65w7do1nJ2dyzzu6enJkSNH8Pb2JjExkUuXLpWog4+PD4sXL6Z79+7Y2tpy8+ZNsrKySqyfvRvr\n1q2jTZs2VK1alRUrVjB27Nj7Kn/Dhg3cunXrgSeyUBTl4VGB1CNKSsmgCYO4/NJlTOyNP6bY92MZ\nGziWJbOWlDhfp9Npa3qklOTl5QHGxbUZGRlMnTpVmzaRm5uLXq+nWrVq7N+/n3r16lGrVi3OnDlD\ncnIyzs7OJCcn07BhQy2j0r1o1aoVS5YsKTEdr6y6lPbee/XqVWwhcqHC0a3ysvfZ29tz/fp1HBwc\nMBgM3Lp1C2tr6xLnFa6Rul1h0KQoiqL8dRbmZujys7TnQghs/ceQt/5ffPzxxzg5OWFmZqal/+7c\nuTMhISEEBgai1+sZMWIEJiYm5R4PDg5m5syZODs7U7NmTSwtLYvVwcXFhb59+7JgwQKklOj1eoYM\nGXLPgVRUVBSxsbFMmjQJnU7HsWPH2L9/P+3bt7+n8levXk1wcDCtW7fWOg27dOmCv7//PdVHUZSK\npQKpR9T+Q/tJaJSAmb2ZdkxfRc/htMOkp6eXmHtdrVo14uPj8fPz4/jx4+Tn5wPGRA62trbo9XrO\nnDlDSkqKdo2npyehoaEMHz4cV1dX1qxZg5ubG0II3N3dCQkJISkpiRo1apCdnU1qaipOTk53rLun\npye9evWiVatWxY6XVRcLCwuysv5sZBs1asSGDRto06YN5ubmpKamotfrsbW1xdTU9I73b9q0KQcO\nHMDDw4OjR4/i4+Nz39n4vLy8CA4OplevXkgpCQ8PZ+TIkfdVlqIoypNo57ZfqJFgQopbe4QQZJ/f\nT+6V07hb5+Ho6EheXh5xcXFkZmbyyy+/0KFDB4YPH87Bgwf59ddf+e6779Dr9bRu3Zrhw4cXKzs4\nOJjGjRszcuRITE1NSU5O5plnntGmhjs7O/P+++/j6enJ2LFj8fPzA2DHjh18/fXXJCcnExQUpE39\nnjhxYqnvoejxwqneAKNHj9Ye+/n5aeUXVdqURQcHB9555x169Ohxtx+joiiPIBVIPaKiYqPId80v\ncTy3Wi7JycklAil/f38WL17M7NmzadSokTaq0qZNGxYtWkRgYCB169bF2dlZu8bLy4vNmzfj4eGB\nubk5pqam2vQ5W1tbRowYwdKlS7XRrb59+95VICWEKLVxKKsu1tbW1KtXj8DAQBo3bkz//v1JTExk\n7ty5gDHQGjlyJLa2tsXKXbt2LWFhYeTk5DB58mT8/f157rnn6NChA19//TXvv/8+1tbW/Otf/7pj\nnctSp04d2rdvz0cffQQYP2c1rU9RFOXu6fV6lgSM4J2Px5NUpTkyIQKnm2f4ZV0w1atXB4wJkorO\nEDh58iTbtm3j7bffxt7enry8PA4cOFBq+bm5ucybN4/8/HyklHh7e2NiYvx606NHD3Jycti9e3ex\nazw9PfH19SUoKOhvetflUwGUojwehJSyouvwwPn5+ckjR45UdDX+kgsXLvD84ufRDSyeod7iCwt2\nfbZLayQURVHulRDiqJSyZNf5E+ZxaCsqg8IsslJKYmJiiIyMJDMzs1hGvNv3SZw/fz59+vTBx8en\n3LJvz1hbWllRUVGEhoYyduzYEtcHBAQQEBBQZjIiRXnSqfaifBXybVwIURVYDdQFYoFBUsoSO9EJ\nIfKBEwVP46WUzz+sOla02rVr061KN37d9iumT5liyDXABni92+tPdBC1ceNGgFLToSuKoiiPnvvJ\nOHvp0qVyM+dVdqotU5THQ0V9I38P2C6lnCuEeK/g+eRSzrslpWz2cKv26Jg/ZT7P7n6WFWtXYGFm\nwVuvvEXDBg0ruloV6vYFxIqiKMqjR0pJ2KF9RJ44wI3U6/zvf//TXrubjLN3637Xv1Y01ZY9/sLD\nw1myZAmBgYHFllXcq9JGXcuze/duzMzMaNu2LcHBwURFRWFpaYkQgqFDh+Lh4VHufqB/FyFEF6AL\nYABOSCnXPrSb/40qKpDqCzxV8PgbYCelB1JPvK6dutK1U9eKrsYjo3v37hVdBUVRFKUc2dnZTJnw\nPO19DtKlYRrfLTdj0tt9mRO09q5nVNSsWZO4uLg7Tu2ztrbm5s2b2vPy9gx8lKi27PF3+PBhbTuY\nhznyeHvG4wEDBtCiRQsiIyP59ttvmT59+kOrSyEhhDfQDJglpcwTQtx5t+pKoqICKScpZWLB48tA\nWRkMLIQQR4A8YK6Ucn1ZBQohXgdeB2OCAEVRFEVRHr7PF83kzb5bqVfHuAbbu24OQ5/6meXLPmXk\nv969qzKeeeYZ1q5dy1tvvUWVKlXIy8vj4MGDJdKD169fn+3bt9OuXTtMTEw4cOAA3t7eD/w9Kcq9\nyM7OJiYmhgkTJrBo0SItkIqKiuKnn37C3Nyc5ORkvL29GTp0KEIIxo0bh7+/P5GRkdjZ2fHaa6+V\nSCwWFxfH999/T3Z2NjY2NowYMQI7O7ti52zcuBFzc/MSCU28vLxISkrSnh89epSQkBAyMzMZNmwY\nXl5e5ObmEhISQmxsLHq9noEDBwIghGgP+AJmQHUgvHBESQjREHgOMAWSgWApZfZtH0lnYIuUMg9A\nSllyE9FK6m8LpIQQ24DSxjKnFn0ipZRCiLIyXrhJKS8JITyA34QQJ6SUZ0s7UUr5BfAFGBcQ/4Wq\nK4+wDRs2AMYMgkrlNmrUKNq0aaOlkzcYDLz77ru4u7szduxYjh8/TmJiIr169argmt6dK1eusGbN\nGpKSkjA3N6dGjRoMHjyYKlWqVHTVtKlURRf3l0YI0R9ognFtajKQI6U8WM75bkA7KeV3Qoj6QH5Z\nf6OVJ0fypQPUe7Z4M9ysQT4/fLkNuLtAqnHjxqSlpfHpp58ipUQIQYcOHUqc5+vrS3x8PB9++CE6\nnY7q1avz0ksvaa/PmzePy5cvk52dzeTJkxk2bBiNGjXit99+49dffyUtLY1Zs2bRuHHjh7oxrmrL\nHm/h4eE0atQIJycnrK2tiYuL06bRnT9/nsDAQKpWrcrChQs5duwYLVq0IDs7Gzc3NwYNGsSmTZvY\ntGlTsb/Z+fn5fPfdd4wZMwZbW1uOHDnC+vXrS2wJUJaIiAhcXV2LlTdlyhROnjzJpk2beOedd9i5\ncycAM2bM4PLlyyxYsACgcP5sbeADjIMbs4QQvwG5wLPAAillthCiJ/A0sOm22zsBnkKIfxRc84OU\nMvbuP9FH198WSEkpyxy3FkJcEUK4SCkThRAuQFJp50kpLxX8/5wQYifQHFCN9BPsUfhSqjwY5ubm\nXLp0idzcXExNTYmMjMTe3l57vWnTpndckF6oMPtoRa2XyM3N5bPPPmPgwIH4+voCxp7HjIyMyvY7\n2wl4R0ppuJuTpZRxQOFiF28gG/U3+omXbzBFSij857hwKhgMIIVxX8T27dvTvn37YtcUzbJXqLTz\nStOnTx/69OlT6mvvvlt64Na1a1e6dq24afOV7O+CchdCd+zl/1Zs4qbBnIxzh/h4xiQAWrVqxeHD\nh7VAyt3dnWrVqmmvxcTE0KJFC4QQ2v6bbdu2ZcmSJcXKv3LlCgkJCYXBDQaDocRoVGl++OEHfv75\nZ2xtbYsFXYVrrurUqaPt6xkTE0OXLl0A4x5sBRtKF8YKp6WUtwCEEImAI2AF1AQmFbS/euBcKdXQ\nAdbAXMANeF0IMVU+BqnDK2pq30/AcIwf6HBgw+0nCCEcgMyCCLca0AH45KHWUnnkFP4DVx4PTZo0\n4cSJE7Ro0YLDhw/TunVroqOjgeKjKGlpaaxcuZKrV68CMHToUOzt7fm///s/3N3diYuL46233uLc\nuXNs3rxZK/uFF14AjOmQO3fuzIkTJ7Czs6Nfv36sXbuWa9euMWjQIJo2bUpKSgpff/012dnGGQlD\nhgyhXr16HDt2jJ07dzJ+/HjS0tKYP38+7777brEvQmFhYXh4eGhBFBinHAFllhsVFcXGjRuxsbHR\nMpSNHDmSyMhI9u7dy6hRo4DiqZtXrlxJXFwcOTk5tGzZUpsusm7dOiIiItDpdDRs2JABAwaU+ZkH\nBwcDOAghJgNVgLVSyt+FEG8C5sBUIcQvgAuQLaUMFUJMBM5jDJasgOVSyuiCUagewCqMQZhBCNEG\n+A54BZgmpcwXQlgA0wuf38vviFL5tO00jE27D/Fc5z9n76z6xZ6nnx1TgbV6tKi27PGy8dcdTPz2\nFFktP0LmZHI9eiJDR09iaJ+O2r6e/fv3v6cyb+8YlFJSs2ZNJk++t5QChWukble4XlGn02Ew3FXf\nWV6RxwaMwRFApJRy6R2uvQ4cKwicYgtmotkAlX6KX0UFUnOBNUKIVzH2Zg4CEEL4AaOllK8BDYDP\nhRCFP6y5UsrICqqvoigPgJSS4+HHuJxwkezsbPz8/Pj5559p0qQJFy9epEOHDlogVdTq1aupX78+\nb7zxBgaDgezsbDIzM0lKSmLEiBF4eHiQmprK2rVrmTp1KtbW1ixYsIDw8HCaNWtGdnY23t7e9O/f\nnyVLlrB+/XrGjx9PYmIiy5Yto2nTptja2jJ+/HhMTU1JSkpi6dKlBAQE0Lx5cy2YOnXqFM8//3yJ\n3uSEhIQy12aWVS5AfHw8M2fOxN7enk8++YSzZ8/SoEEDVqxYQXZ2Nubm5hw+fFjrpfzHP/6BtbU1\nBoOBTz/9lIsXL+Lg4EB4eDiBgYEIIcjMzLybH4UeY8eUM/Am8LuUcpEQYqGUcjaAEOL21dF6KeVH\nQojGQB/g0yI/1xQhxG4KAq+C689gnCYYDrTC2IiqIOoJ8Hy/f7J0SSxTF6+iVvVrxCdVo1HLV3iq\n6zMVXTVF+Vv8d+UvZLX8GCEE2Rd/x8LDH5Me07A0+YE5U99m/vz5xMTEABAbG8vVq1dxdHTkyJEj\ndOzYETC2j0ePHqVVq1aEhYXh6elZ7B5OTk6kp6dz7tw5PDw8yM/P58qVK9SsWfOBvQ8vLy/CwsLw\n8fHhypUrXLt2DYxT8cpyHhgqhKghpUwSQpgD9lLKK7edF46xI+6MEMIJYxuU8cAqXoEqJJCSUqYA\n3Uo5fgR4reDxfoyNsKJo1q1bB6CNNCiVx/Xr15kx7nnaVztOHbt0ju+2ZdtGD1Ku53P48GGaNCn7\nn/vp06d55ZVXAGPvmaWlJZmZmVStWhUPDw/AuAjX29tbW5zbpk0boqOjadasGSYmJjRq1AgAV1dX\nTExM0Ov1uLq6alMa8vPzWbVqFRcuXECn03Hlyp/twODBgwkMDMTd3V0Lau5WeeW6u7vj4OAAQK1a\ntUhJScHT05PGjRsTERFBy5YtOXHihNaTefToUXbv3o3BYODGjRskJiZSs2ZNTE1NWb58Ob6+vuV+\njkXcKugZTBRC3O0co98L/h+PcUrHnewFemJsQNsDK+7yPspj4LU3ppGb+x4pKSlUq1btid7/sDSq\nLXu8pEtLbQQpJz4MC59emNi7ci7qGmCcRhcWFkarVq2oW7cuq1at0pJNNG/eHDBOd4+NjWXz5s3Y\n2tryr3/9q9g9TExMGDVqFKtXr+bWrVvk5+fTrVu3BxpIde7cmZCQEAIDA9Hr9YwYMYK5c+eWeb6U\nMl0IEQy8JoQo/Ee+Abg9kNoPDBNCzADyMSakqPTT+qDiRqQU5b4UzNdVKqGgGf9iVqe92Fsbn7eu\nk056eBBVmwXyww8/MHHixGJpjO9G4ZSJO9Hr9VojJ4TQvtQJIbQpDdu2baNKlcowiBkAACAASURB\nVCpMnz4dKSVvvvmmdv3169cRQpCWlqYtfC+qZs2aREVFlXrv8sot+uVSp9ORn28csPHz82Pnzp1Y\nW1tTt25dLCwsuHr1KqGhoQQEBGBlZUVwcDC5ubnodDqmTJnC6dOnOXr0KDt27GDChAl3+kjupwEr\nnNZRdEpH2TeQ8qwQwrFg+p9OSplwH/dUKjFTU9O/tH/O40y1ZY+X6qZZXDLkI3R6qnSZCEBe0mla\n+NQG0NbjRUVFYWFhwdixY0stpzBLXlEjRozQHteuXZt///vf5dalaKr1otcWNXHiRO2xjY0Nc+bM\nAYz/ZktLXlEwuLG/yPPPijw+Dcwpr04F2fq+LrfildQdG0NFeZR07tyZzp07V3Q1lPuRelILogq9\n0iaZhJgj9OnTp1g2odv5+Piwa9cuwLjA9tatWyXOqVu3rpbgwWAwEBYWpq1Tuhu3bt3Czs4OIQQH\nDx7UAiyDwcA333zDa6+9houLC1u3bi1xbevWrTl79iwnTpzQjkVHR5OQkFBmueWpX78+8fHx7Nmz\nBz8/PwCysrIwNzfH0tKStLQ0Tp48CRjT7N66dYvGjRszaNAgLl68eNfv+QHLwrjGqqiDGGcZ7C95\nuqI8uVRb9niZOe6f2O55H0NWGgB5KedxP72Qsa8OreCaKX83NSKlKMpDYZAl+21y8qCKXZU7Zs96\n8cUX+fbbb9m7dy86nY6XXnqpRLYiOzs7XnjhBYKCggBjsom7zfoH8NRTT/G///2PgwcP0qhRI220\na/PmzXh5eeHp6UmtWrWYM2cOTZo0wcXFRbvW1NSUsWPHsmbNGtasWaNNG3zxxRfLLLc8Op2OJk2a\ncODAAW1KY61atahduzbTp0+natWq2vz5rKwsFi9eTG5uLlLKUns0H5IIYJQQohnwnZQyGjiEcQP2\nw/dbqBCiKrAaqAvEAoOklNdLOS8fY9p2gHgp5fP3e09FUZR70aJZY37+z2jmLP4vV9Ny8PWowb+/\n+QQrK6ti59WvX7/MDr7SMlcqjz7xmExRLMbPz08eOXKkoquh/A1++OEHgHKzkimPplmThvNqneW4\nVv3z2JxQV16etV9tov2QCSGOSin9HsJ9WgDNpJT3PaVDCPEJcE1KOVcI8R7gIKUskbZKCJEhpbS5\nl7JVW6FUFNWWKZXFw2ovKis1IqVUKmq+feX175lLmDUxFef8I9S0TefI5Vr4/2OyCqIeU0KIwUBj\n4L9/sai+wFMFj78BdgL3lv9XUR4xqi1TlMeDGpFSFOWhunz5MsnJyfj4+GBqalrR1XkiVaYeRiFE\nqpTSvuCxAK4XPr/tvDyMGQLzMG6Xsb6M8l4HXgeoU6dOy7i4uNJOUxRFUahc7UVFUCNSpUhLS2PN\nmjWcP38eKysrTExM6NGjh5ai8kEJCAggICAAG5u7m40SFBTEjRs3MDU1xdzcnOHDh+Pk5MTy5ct5\n+umni63Z+Ct1yMnJ4fPPPyc5ORmdToevr69K0ao8MM7Ozqo3VilGCLEN455Wt5ta9ImUUhZs5Fga\nNynlJSGEB/CbEOKElPLs7SdJKb8AvgBjp9tfrLqiKIryBFOB1G2klCxZsoR27drx2muvAZCSkkJE\nREQF18zo1Vdfxc3NjT179vDDDz/w5ptvMmzYsAd+nx49euDt7U1eXh6ffvopJ0+eJD4+nrCwMHQ6\nHUIIXn75Zdzd3R/4vcuzZs0aAAYNGnTfZRw6dIhff/0Vg8GAXq/Hzc2NAQMGlFgUWlRwcDC+vr6l\n7g7+IAQFBZGdna1t1BoXF6elBC/LhQsXuHHjBo0bN76ne61du5YTJ04gpaRBgwa8+OKLJdJ5K8rD\nJKXsXtZrQogrQggXKWWiEMIFSCqjjEsF/z8nhNgJNAdKBFKK8ih4EG2ZoigVTwVStzlz5gx6vZ5O\nnTppxxwdHenSpQsAubm5hISEEBsbi16vZ+DAgXh7e5d5PCcnh+DgYBISEnByciI1NZWhQ4fi5uZW\n7L6HDh3it99+Iy8vD3d3d4YOHYpOV3Z2ei8vL7Zv3w4Yv4QPGDAAGxsbFixYwOTJk7G2tmb+/Pn0\n7t2bhg0b3lP5ZmZmeHt7A8Z9burUqcOpU6eIjY3l/fffx8TEhIyMDPLy8opdt3nz5r890KpVqxZg\n3Jvn0qVL2n4Hhw4dIiwsjLfeeqvc60+dOsW2bdsYN24c9vb2GAwGDhw4QHp6erFA6uOPP2by5Ltb\nhpGVlcXs2bN5++23qVGjBvn5+XzwwQcMGzaM1NRUNm3aVOz8S5cuMXbs2BIB0Pfff09CQgLVq1fH\n1NQUvV5f7n0vXLhAXFzcPQVSx44dY+XKldpC53nz5hEdHX1PacIV5SH7CRgOzC34/4bbTxBCOACZ\nUspsIUQ1oAPwyUOtpaLcg8K2THn0XL9+nXnz5jF16lSsra3JzMzkgw8+YOLEiej1elavXs2oUaP+\ntvvv3r0bMzMz2rZtW+z4xo0b2bRpE7Nnz6ZGjRoAbN++nTVr1hAQEICbmxv//e9/efXVV0t0DAcE\nBFCnTh1Gjx4NwO+//05ERESZ+0yBcc+rO30PuZ0Qoi7wzyKHNkkpj91TIZWMCqSKSEpKIiIiotzF\n7zt37gRgxowZXL58mQULFjB79uxyj1tZWTFz5kwSEhKYPXt2iTITExM5cuQIkyZNQq/XExISQlhY\nWIl/REVFRESU2HfH0dGRnj17snLlStzd3XFxcaFhw4b3VX6hzMxMIiIi6NatG1evXtU2EC06FXDT\npk3s3LmT48eP8/LLLzNs2DBu3rzJggULqF+/PjExMWRnZ/PKK6+wZcsWLl26hJ+fH3379iU7O5sv\nvviC1NRUDAYDvXv3xs/Pr9iUw6KjMykpKVy7do2kpCQ2bdqEXq/nhRdeYMOGDTRu3Jjp06djY2ND\n1apVqVOnDj169Cj2fjZv3syAAQOwtzcusdDpdHTo0EF7/aeffuLkyZPk5uby7bff8tJLL5UYrdm0\naRMRERHk5uZSr149XnrpJfr27cvIkSP5z3/+w9mzZ7l+/TrHjx/Hx8cHR0dHxowZA8CKFSs4duwY\njRo1KvFZu7u7U6dOHSZNmsQnn3zC2bPGzvTCIP38+fPo9XoGDRpEvXr1+Omnn8jNzSUmJoZnnnmG\nJk2a8N1335GQkEB+fj7PPfdcifTfdnZ2tGzZkvz8fKSU5OfnY2tre8ffA0WpQHOBNUKIV4E4YBCA\nEMIPGC2lfA1oAHwuhCjcLHiulDKyoiqsKHfSvn37iq6CUgYHBwc6d+7Mjz/+yMsvv8y6devo2LGj\ntony3xlEAcU68m/n6urKkSNHePbZZwE4evQoNWvW1F4vrzM5Pj6exMTEu14GcubMmbve9L6IBOBD\nKaVBCGEHTBNCHJdS3nkDxUpKBVLAlStXGP7uJ8QaapNx5RxVbsbg26wFPvU9WbVqFTExMej1egIC\nAoiJidFGp5ydnXF0dOTKlSvlHu/WrRsANWvWLHXT0dOnTxMXF6ftLJ2bm1vml9uvvvoKU1NTHB0d\nGTJkSLHXxo0bx8KFCzl69Ci7du2ie/furFq1itjYWH7++WfWrVtHWloa1tbWuLq6kpmZCUBYWBh7\n9uwBQK/X07p1a3r06IHBYGDp0qV07dqVs2fPcvLkSaZNm0aDBg3w8/Pjs88+Y+HChXTp0oXdu3eT\nl5dHaGgozZs3x9fXF0tLS/744w8SExPZsWMHv/76K8OHD2fq1KnMmDGDvXv34urqyt69e2nSpAmj\nRo2iSpUqTJs2jezsbMA41XL+/PnF1tRcvnyZiRMn0rNnT0aPHo3BYMDT05OzZ88ybdo0goOD2bRp\nEw4ODuzZs4eBAwfi6+uLwWBg165dZGZmIoTgqaeeolOnTkRFRbFhwwasrKyIj4/n448/Zty4cdSu\nXZujR4+yZ88e9uzZw8GDB3njjTfo0qULffr0AeDrr7/mxIkTtG7dmtatWxMYGIiVlRUuLi706dNH\nC1zT09PJzMxk5cqVTJ06tdSpdHZ2dpiYmHDmzBnq1q3L8ePHSUlJ4e2338bCwoJatWrRv39/5s2b\nh4eHB9euXcNgMDBnzhzMzc0ZMGAArVq1Ii8vD4PBwFdffYWbmxvXrl2jZ8+edOrUCTs7OyIiInj3\n3XdJSEigdu3a2h/Vzz77jB49elC/fn3GjRtH586dOXHiBHZ2dvTr14+1a9dy7do1Bg0adE/7MynK\nXyGlTAG6lXL8CMbNfpFS7geaPOSqKYrymOrevTsffvgh27dvJyYmRvu+lZKSwmeffcaMGTNISUnh\n66+/1r6vDBkyhHr16iGlZN26ddqm6YUdxFFRUfz0009YWVlx6dIlWrZsiaurK7/99hs5OTmMGTOG\n6tWrs3HjRszNzUt0BAM0a9aM8PBwnn32WZKTk7G0tCw2alTe2vunn36azZs38+qrrxY7fvPmTb75\n5huuXr2KmZkZL7/8MpaWluzevbtw5pKLEMILuAy8BBRuYrL69nWoUsqcIk+fiGxSKpACXp4wl9NN\nP0Bnbo3hymkSTvzE8PcWcOCHhQwZMoSMjAwtyPm7tGvXjn79+t3xvMI1UmXJycnh+nXjXpW5ubkA\ntG3bFh8fH/r166cFW4VWrVrFzp07mTBhAvb29uTl5XHgwAHAOHqScDGeuN8Pcjo6hqo1nOj3j75k\n5+Ty5ZdfkpiYCBh7LbKysrh58yYHDhxg5cqVWFhYAMaelfXr19O6dWsaN26MhYUF+/bto3r16sTG\nxlK7dm3q16+PEILly5czadIk2rRpQ0hICAB//PEHzs7OWnm7du1Cp9NhYmKCr68vjo6OHD9+nJ49\ne2pT4kxNTXFwcGDw4ME0b96coKAgGjRowMGDBzExMWHSpEmYmpry/vvvs3nzZlJTU7l+/TqLFi0i\nPj6ejz76iEOHDmFpaYmzszNvvPEGDg4OeHp68v3339OvXz9CQ0PJyckhMzOTmjVr4uvry+uvv87I\nkSPJzMxk+vTp2uhd27Zt2b9/PwcPHsTFxaXYCNjtnn32WTZt2sStW7e0DWfj4uKYPn06Tz/9NBkZ\nGVy+fJkpU6Zw5coVfvrpJ7Zu3UqfPn24evUqp0+fxsPDg8jISBISEnjnnXeoVq0agYGBdOrUieTk\nZNLT01m+fDkHDhzg888/Jzo6Gi8vr2L1yM7Oxtvbm/79+7NkyRLWr1/P+PHjSUxMZNmyZSqQUhRF\n+QtWrVoFUKJDVKk4eXl57N1r7FT29+9I//79WbhwIePHjy91iputrS3jx4/H1NSUpKQkli5dSkBA\nAMeOHePChQtMmzZN+/5Y2MZevHiRwMBArK2tmTp1Kv7+/kyZMoXt27ezY8eOO66Zs7CwoGrVqiQk\nJBAeHo6fnx/79++/q/fXsmVLdu7cSVJS8WWmGzdupE6dOowZM4bTp0+zbNkypk2bRqdOnTA3N+eT\nTz5JlFJGCyFeA7ZJKWMKNkp/G5hx+32EEO4Yp2FXBZY9zqNRoAIp4uLiiDXxRmduDYBJDW+Q+Zw3\n1GLvvgN06tiBnJw/A2wvLy/CwsLw8fHhypUrXLt2DWdn5zKPe3p6cuTIEby9vUlMTOTSpUsl6uDj\n48PixYvp3r07tra23Lx5k6ysLG0Y+V6sW7eONm3aULVqVVavXk2rVq2KlQ8UK//cuXOMHj1am+pm\nYmJCx44d2bBhA4cPHsAr7xpD2njxnSGd+i6ObPh8ITP+F4yrqyvvvPMOa9euJTAwkBYtWvD666+z\ndetWzMzM+PLLL8nKyqJDhw7Url2brKwsTExMaNeuHTt37kQIgZSSbt260atXL0JDQ1m2bBkNGzak\nQ4cOzJ8/Hykl+/bto2nTppw5cwYAJycnzMzMAOOX/bS0NPLy8sjMzCz2h87DwwMhBDVq1KB69epc\nvnyZyMhIMjIyeO+996hWrRo6nY6XX36ZLVu2cP78eezs7AgJCWHq1KkkJibi7+9PTk4OP/74Ixs2\nbMDZ2RkhBMHBwcyaNQsHBwc2btyoBaynTp3CYDCQl5dHWlqaVpf27dszZswY6tSpQ58+fcpcm5aT\nk8P333/Pnj17aNOmDXXr1gXA2tqa2rVrA3Du3DnS0tJYsmQJN27c4Nq1azRs2BAwjt5NmTKF+vXr\ns2/fPs6dO6etUTMxMSEzM5OTJ0/i4OCAubk5ZmZm1KpVi3PnzpUIpExMTLTph66urpiYmKDX63F1\ndSUlJeWefy8VRfn7jRo1ijZt2jBy5EgADAYD7777Lu7u7owdO7bM6+Li4jhw4ACDBw/+S/cvK7Ps\n/VizZo32dz8nJ4f09HQWLFhQ4rzRo0fj6uqKwWDA2dmZV155BTMzsxKdho+ah52oSSnf778fYemX\n8+na2Qsh4O23vqBWncbY2dlx6dIlGjRoUOKa/Px8Vq1axYULF9DpdFy5cgWAmJgYWrVqhU6no0qV\nKtSvX5/Y2FgsLS2pW7eu1klavXp1rf12dXXVft/vxM/Pj8OHD3Pq1CkmTJhw14GUTqejR48ebNmy\npdja6piYGG3tlI+Pj/YdsRQ+GEenCp9bCCHMpZTZRU+SUp4HZhYkBxohhDgppcy9q0pWQk98IJWZ\nmUm+6Z9DoEIIbP3HkBb6AYsWfca+vcZFf4Xpvzt37kxISAiBgYHo9XpGjBiBiYlJuceDg4OZOXMm\nzs7O1KxZE0tLy2J1cHFxoW/fvixYsAApJXq9niFDhuDo6FgsFfvvv/9OcnIyL774Yqmp2JOSkvjq\nq6/o2LEjQghOnTqFnZ0dQ4YM0coPCwtjwYIFWvnp6enUqVOn2HDw9evX2bx5M8cP7sOmjiP/2XyF\nlIxMXOxteaO1F8s/X8ypc3FEREQwa9Ysbty4gb29PT/++CO///47zz77LE2aNOGDDz644+efkZGB\nk5MTLVq0YO7cuURHR9OnTx8cHBzYsWMHsbGxxaY5+vj4aHN2f/rpJ1xdXenevTsnTpzAYDDQq1cv\ncnNzOXv2LG3atCn2c5VSMnbsWE6dOsWYMWNwcHAAjGueTE1NtYDIxsaG/Px8fv/9dywtLXFwcOC5\n556jWbNmrFq1iszMTGxsbMjOzub333+nRYsWpKamEhISQufOnUlOTuaLL77go48+wsrKiqSkJK5f\nv46Li0u58+LNzMyYNm0aJ0+e5Ntvv9UCQycnJy1IT0lJwcbGhrlz5xIREcHx48e1rI3Vq1dn3759\neHl5IYTgxo0bWtk6nQ6DwYC9vT0pKSkYDMYOoqLzpQvfPxineBb+sRRCaKNrQgjtWkVRHi3m5uZc\nunSJ3NxcTE1NiYyM1DrJyuPm5lbuTId7UVpm2aIMBkO5iZQKFe2Z37FjB/Hx8aWeV/h3E4xT33fv\n3q11Gj7K7maNsvJwGAwGln4ZxAczXtDavfqeLowctZjNv+wgKCiIVq1aaQFQoW3btlGlShWmT5+O\nlLLE73ppCttSKN62FrbRd8PX15e1a9fi5uamzda5W23btmXLli3F1lXdg8L1p3cVFBVkWs0GamJc\n3/pYeuIDKR8fH2qkfk6C/DOpgM7SDncHwTfBy0r8kpqammqZ4u72+MiRIzE1NSU5OZlPP/2UqlWN\n00uLThf08/PDz6/4fmd3SsWecOkS/1s4AXJjWfKfzWRnWbJ161bt+v3791O42WRh+cnJyUyd+ufW\nLB06dCgxl9bBwYHPP/+c94YNYkI740jFkm0H+fVENGFnL3DoahZVqjthY2PDCy+8wO7du1m/fr02\ntc7S0pILFy5gZWVFtWrVuHr1Krdu3QLg4MGDeHl5ER4eDhi/yH/99dfcuHGDq1ev0rNnTwCGDx/O\n3LlzcXd3LzVovHTpEidOnMDT05N27dpx4sQJqlatyqxZs4iKigKMQ+DJyckkJyfj5OREo0aNOHHi\nBJ07d2bhwoWkp6fj4OCAmZkZLi4uWFlZ0bFjR2bOnEl4eDivv/46Fy5cwNbWlqysLGJjY0lLS8Pf\n35+ZM2diZ2enjRqtWLGCvLw8Ro8ezYULF1i0aBHfffcdgwcPJjg4mFGjRnH69Om7WuTZuHHjYsGj\nm5sbUkoCAwPJy8ujVq1aXLt2DW9vbzZt2sTkyZMZOHAg9erVIz8/n1mzZhEfH09+fn6Jsps2bYqV\nlRWBgYFcv34dKSVNmjTh+vXrxMbG3rFuiqI82po0acKJEydo0aIFhw8fpnXr1kRHRwPGUfzSEtJE\nRUURGhrK2LFj+e9//0tqaioAV69eZfDgwUgpiYuL06ahFV1PWZaimWUDAgLw8/MjMjKSnj174uzs\nzMqVK8nJyaF69eoMHz683O0nwsLCeP755+/43r28vLh48WKxY0XfGxin1Lm5udG+fXvWrVtHREQE\nOp2Ohg0bMmDAgDveQ3n8HDt2jLat62jfAaWUrP1xHwP7t+P8+fP07NmTH374ocTaolu3buHg4IAQ\nggMHDmiBkJeXF7t376Zdu3bcvHmT6OhoBgwYwOXLlx9IfQs79+9ntFev19OtWze2bNmCj48PAJ6e\nnhw6dIjevXsTFRWFjY0NFhYWWFhY3D4yFQl0AUIBhBC1pZQXip5QkDX1WkGyCUeM+wM+1tNYnvhA\nSghB0Lv/ZOxH40lyH4TUmVEt9gemjeh+z5F+aXJycvjPf/6jZUkbOnRosR6J8pSXij0tLY0P3u9B\ns7qRJF4Fax1ciTdj88YQnu41kJCQEHbv3k16ejotWrTQUrGfPHmSmTNnaqnYLS0ttWCrUGGq9D2R\n0biKWwxs3YRaVe1oXrcmtpaWNKrTgl0HDmkBWPPmzbl58yY6nY4bN26wYcMGmjdvjqurK87Ozgwf\nPpzevXtjYWFBhw4dsLCwICcnhxMnTnD8+HHef/99Lly4QHh4uJYx8bnnnmPHjh1MmTKlWKKJtLQ0\npJSEh4czaNAgbXj6pZde4ssvv2TmzJkEBwcTGhrKpk2b2Lp1Ky+99BKmpqb4+/uTkpKiNe4uLi6M\nGTOGCxcuEBoaCkDfvn3p27cv48aNY/jw4WRkZLBo0SKysrKoW7cuzs7OPPvss/zzn39m9/zjjz+I\njIwkODgYIQQODg74+vrSoEEDdu3aRXp6OitXrsTe3l7L2vjMM88UC5wnTpzIuHHjtOeFwW5KSgp6\nvb5YkH769GmWLl2qpZ8fOnQoTZs2Zd26dQwePBgbG5tiQXRROp2Opk2bMmPGDKSUfP3118yYMQMX\nF5dys1UqivJoysrK4syZM1oPs5+fHz///DNNmjTh4sWLdOjQQQukfvnlF3x8fBg+fDiZmZl89NFH\n2pepQoVZv+Li4vjmm29o1qwZx47de/bi2zPLWltb8/777wMwa9YsBg8eTP369fnpp5/YtGlTmWtD\nUlJSuHr1qrYlR1kMBgMnT54sNSNqaW7evEl4eDiBgYEIIbTkSw/LypUrAWPbpVQsExMT8nL/HA06\neOg09g422NtVwdTUlM6dO7Nv3z6ioqKKLbl46qmn+N///sfBgwdp1KiRNlumWbNmnDt3Tmvv+/fv\nT5UqVR5YIAXQqlWr+77W39+fzZs3a8+fe+45vvnmG2bNmoWZmZmWEt3X15fPP/8c/kw28R0wRAgx\nHePoVDSw8rbiPYFeQoh8QAIhUsqM+65sJSCkfPw2dvfz85NHjhy5p2uys7PZ9Ms2snNzef6Z7qVm\nPHnYfvvtN65evVpqA/O/zwKxypiJBIb/Ay4nQ5/R8FTntvTsN4uEhAS8vLw4fvw4cXFxzJ49mx07\ndjB//nxCQ0O1VOz9+vXj8OHDXLt2TRul+PTTT437C505w7gRQ3mllTfO9lVYe/gkOfbO/HfFd7zy\nyitERkbSr18/YmJiuHHjBm5ubqxbt46NGzfSokUL9u7dy6lTp3B3d+ezzz7TstetW7eO0aNHaxnt\nPDw8aNu2bYmU52vWrOHdd98t9r4PHz4MlP5HZOnSpVqq9+7du99xT6mH5cMPP8Tc3Jzx48ffdRCt\nKH8nIcRRKaXfnc98vN1PW/EoCV4QzP4l+6lzqQ5XHa6y22o3h04eYt68eTz11FMkJSXRsGFDbURm\nzpw55ObmalPrbt68ydtvv016enqxUZuMjAzmz5/P66+/Ts2aNbWOmTuNSBVdI1WYWdbBwYGAgAAm\nTpyIo6Mjt27dIjAwkLlz5wKQnJzM559/rgVZt/v111+5fv16meu3CtdIgXEkYMCAAZiYmGhrpMoa\nkWrbti0ffvghderUwdfXlyZNmjzUv8/ltWXKwyWlZMzol5g1/XlMTIxT6vPy8pkWuJ4ln6964jes\nV+1F+dS3ugLm5ub0/0fviq4GAHsOHCbo6x+5cOEidibZPPXUU9SoUaNYKvbstD9wNocuBcuAnKuD\nhTnk56RoqdivXbuGvb09GRkZWir2wqHgwlTs3t7e2NjYMHnyZObMmUNCQgKZmZnatMPG/l3ZkniR\nWkKH3qs5TlUd+eSTT8jOzkZKyS+//IKjoyOZmZns2bMHKSVffPEFb731Fv7+/qxatYrg4GCaNGnC\nrFmz0Ov15Ofnl5vqfcuWLezatavEMDqU3+gUTn8MDg7G19f3L/8cHpSiUykVRVEehPDfwzn14SmG\nXh1qPHATIolk3qR5+Hbz1fbeu3nzpnaNlJLRo0eXmBKUnp6uPTYYDHz55Zf07t1bG+XS6/UU7XQt\nup7ydmVllr2P/WgAY8BRXma7omukSqPT6Uqtu06nY8qUKZw+fZqjR4+yY8cOJkyYcF91vB8qgHp0\nCCGY8O+ZzPggkCYNayCEIOLUFSb8O/CJD6KUO1OB1CPml227eXvZUbL8ZpNXPZqz4d/T+/VAti//\nqFgq9iaNOxOx+3vgz+Ho57vC+WvVteft27enffv2zJs3TztWWq9f+/bt6dixIwEBARw+fJjU1NQ7\npmIPCgri448/ZvXq1URGRuLg4ECfPn2QUjJw4EDc3Ny0+e9du3Zl0qRJ2NnZsWPHjjuW36tXL3r1\n6nUPn1px5e3UrSiK8jhY/X+refrq08WO2WBD/O543pj+BlZWVri6umprn8rVLAAAIABJREFURgEa\nNWrEb7/9xuDBgxFCcOHCBS0jaKEff/yRWrVqFfui7+joyM6dO5FSkpqa+pfWU1paWmJtba1tu3Dw\n4MEy11pdvnyZzMxMPDw87vt+jo6OJCYmkpeXR05ODqdPn8bT05Ps7GxycnJo3Lgx9erVUx1eTzgv\nr/osWvwt0dHRSCkZ9WZ9FUQpd0UFUo+YT5dvIqvVx8ZsLjW8QWfC+Sr+LFwawvsTRmup2PsPepXv\nVi5i/fZTvOcBZ+Nhw84qfPrZR6Rl5DyUVOympqYlGp+goCDtcdFU7CtWrGDs2LF/OdX78uXLAbRM\ndYqiKE+i/Lx89JTc2waDMWFQ165dS7zUu3dvVq9ezaxZs5BSUq1atRJp0UNDQ6lZs6a2vuP555/H\n19eXatWqPbD1lCNGjNCSTVSrVq3Mzq/Dhw/j5+f3l77QOjg40LJlSwIDA3F0dNTqnpWVxeLFi8nN\nzdU6AB8m1ZY9eoQQ5SZQUZTSqDVSj5g2L8/gcqtA7bnh1g0yw9fgHP0NLw/ojZmZGZ07d8bPz4+0\ntDTefmsk52JOYGpmzZSpn9Cte3dyc3MJCQkhNjYWvV7PwIED8fb2Jjs7m+DgYBITE3F2diY5OZlR\no0ZRo0aNYuuTjhw5wi+//FIsFfvtPYJBQUEMGDCgxBSOwuPZ2dn8P3v3HR5Vmf5//P2kEDpIgpDA\nklACkV5CR9QVsaGI0lVARXF3EV0LSi92f8vKqqhrWRAEEekgakQRRFooESIlhBLpJXQCqc/vjyTz\nTUgnJDMTPq/rykXmnDPPuc8kzJ17nnLmz5/P8OHD8fDw4OOPP6Zp06Z06NAhx/ZzuyN3uk2bNgGp\nN5YTkaujMe+p3DlX/LbyN8K6h3Hb2dsc22KJZcvgLbz2ad63nhDnUi4Td6F8kTsVUi7m7kHD+aP5\n25k+gUs6toPnAtbw0tCsc4YKIiUlheTk5ExLsU+cOFELIIhcZ5QYU7lzrgD4fy//P/786k9CDoRw\n9IajHA89zrsL3811KXERkYJQvsid/oJ2MSOH9OKpd1/jYpuXMN6lSTpziMCd7/OP0f8qdNuFWYpd\nRERcy0tvv8SJF0+wfs16bq13a76X/hYRkWtDPVIuKHL7Tt766CvOxsNNNSsx+rnBVKxY0dlhuYRp\n06YBWlBCpDD0CWMqd88V4r6Uy8RdKF/kTt0RLqhxwxC+fH9C3gdeh5o3b+7sEERERApFuUykZFAh\nJW5FyUdERNydcplIyeDh7ABECiI5OZnk5GRnhyEiInLVlMtESgYVUuJWZsyYwYwZM5wdhoiIyFVT\nLhMpGTS0T9xKy5YtnR2CiIhIoSiXiZQMKqTErTRt2tTZIYiIiBSKcplIyaChfeJWEhMTSUxMdHYY\nIiIiV025TKRkUCElbmXmzJnMnDnT2WGIiIhcNeUykZJBQ/vErYSG6p5wIiLi3pTLREoGFVLiVho3\nbuzsEERERApFuUykZNDQPnErly9f5vLly84OQ0RE5Kopl4mUDCqkxK3Mnj2b2bNnOzsMERGRq6Zc\nJlIyOGVonzGmFzAeuAloY63dmMNxdwH/ATyBz6y1bxVbkOKS2rZt6+wQRERECkW5TKRkcNYcqUjg\nQeC/OR1gjPEEpgB3AAeBcGPMYmvt9uIJUVzRTTfd5OwQRERECkW5TKRkcEohZa3dAWCMye2wNkC0\ntXZv2rGzge6ACqnrWFxcHABly5Z1ciQiIiJXR7lMpGRw5TlSNYADGR4fTNuWLWPMU8aYjcaYjSdO\nnCjy4MQ55syZw5w5c5wdhoiIyFVTLhMpGYqsR8oYsxyons2uUdbaRdf6fNbaT4BPAEJDQ+21bl9c\nQ/v27Z0dgoiISKEol4mUDEVWSFlruxSyiUPAXzI8rpm2Ta5jDRo0cHYIIiIihaJcJlIyuPLQvnAg\n2BhT2xhTCugLLHZyTOJkFy5c4MKFC84OQ0RE5Kopl4mUDE4ppIwxPYwxB4H2wLfGmB/StgcYY5YB\nWGuTgKHAD8AOYI619g9nxCuuY+7cucydO9fZYYiIiFw15TKRksFZq/YtABZks/0wcE+Gx8uAZcUY\nmri4Tp06OTsEERGRQlEuEykZnHUfKZGrUq9ePWeHICIiUijKZSIlgyvPkRLJ4uzZs5w9e9bZYYiI\niFw15TKRkkGFlLiVBQsWsGBBllGhIiIibkO5TKRk0NA+cSudO3cu9nMOGTKEtm3b8vjjjwOQkpLC\nSy+9RO3atRk6dGiOz4uJiWHt2rX07du3UOefNGkSZ8+exdvbGx8fHwYOHEi1atWuqq05c+awa9cu\nABISEjh//jyTJ0/OctzTTz9NjRo1SElJoXr16jz22GOUKlWKYcOG8d577xXqekRErnfOyGUicu2p\nkBK3UqdOnWI/p4+PD4cOHSIxMRFvb2+2b99O5cqV83xeYGAggYGB1ySGJ554gsDAQH799Vfmzp3L\nP/7xj0z7U1JS8PDIu4O5d+/eju9XrFjBn3/+me1xpUqVYsyYMQB8/vnnrFq1ii5dCntrOBERAefk\nMhG59lRIiVs5ffo0ADfccEOxnrdJkyZs27aNli1bEh4eTps2bdi9ezcA8fHxzJ49m8OHD5OcnMx9\n991Hs2bNiIqKIiwsjKFDh/L+++9z5swZAE6ePEnfvn2x1hITE0O/fv0A+OCDD+jatSv169fPMY7g\n4GB++uknAEaOHEloaCjbt2/nzjvvpHr16sycOZOEhASqVq3KwIEDKVu2bI5tbdiwgfvvvz/Paw8O\nDubgwYOZtmW8NoCvvvqKwMBAOnTowPz589m6dSseHh40bNiQnj175nkOEZHribNymYhcWyqkxK0s\nWrQIgEGDBhX5uZKSkvD09AQgNDSUb7/9liZNmnDw4EE6duzoKKS+++47QkJCGDhwIHFxcbz55puE\nhIRkauuZZ54BUof7ffHFFzRv3pwtW7YUOKatW7dSo0YNx+Ny5coxevRoACZOnEjfvn2pX78+ixcv\nZunSpZl6oDKKjY3l5MmTNGjQINfzpaSkEBkZSaNGjfIV38WLF4mIiGDChAkYY4iLi8vnlYmIXD+K\nM5eJSNFRISVu5dZbby3yc/zy3S98OeFLvI94k1gxkehy0dSoUYPY2FjCw8Np0qRJpuO3b9/O77//\nTlhYGACJiYmcOnUqS7sXLlxg6tSpPPXUU5QpU6ZAMX3++ed4e3vj6+vr6MGC1AIP4NKlS8TFxTl6\ns9q3b89///vfHNvbuHEjrVq1ynE4YEJCAq+++iqQ2iPVsWPHfMVZpkwZvL29mT59Ok2bNs3yWomI\nSPHkMhEpeiqkxK0EBQUVaft79+5l9lOzefjgwxgMAGO9xjLtP9No2rQpc+fO5YUXXuDixYuO51hr\nefrpp7MsAHH+/HnH9ykpKXz66afce++9BAQEAODp6Ym11nFMYmJijnGlz5G6ko+Pz1VdZ3h4eKaC\n7EoZ50hlx8PDI9vYPTw8GDFiBDt37mTTpk2sWLGC559//qpiFBEpqYo6l4lI8dDy5+JWTp48ycmT\nJ4us/WlvTeO+g/c5iigAvyQ/NszZQMeOHenWrVumoXUAjRo14ueff3YUFgcOHMjS7oIFC6hZsyat\nW7d2bPP19eXAgQNYazl9+jT79++/6rjLlClDuXLlHMMN161bl+Ncq6NHjxIXF1eoyc6+vr4cOXKE\npKQk4uLi2LlzJ5A6X+zSpUs0btyY3r17Z5lbJVJQxphexpg/jDEpxpjQXI67yxizyxgTbYx5pThj\nFCmoos5lIlI81CMlbmXp0qVA0Y0rv3jqImXJZoGGS6mTgv/6179m2XXvvffy9ddfM3HiRKy1+Pn5\nZVkWPSwsjICAAMdwufvvv5+mTZvi5+fHuHHj8Pf3p1atWoWKfdCgQY7FJvz8/HJ8jcLDwwkNDcUY\nk+3+/Ljhhhto1aoVEyZMwNfX1xH75cuX+fDDD0lMTMRaS69eva76HCJpIoEHgRzHqhpjPIEpwB3A\nQSDcGLPYWru9eEIUKZiizmUiUjxMxuE5JUVoaKjduHGjs8OQIpDe2/OXv/ylSNqf9+U8Dj5xkGYJ\nzRzbLnGJ5b2WM2nOpCI5p0hxM8Zsstbm2LvjiowxvwAvWmuzvLkbY9oD4621d6Y9HgFgrX0ztzaV\nK8RZijqXiVwr7pgvipN6pMStFHXS6dG/B8/Of5bzP56nxYUWHPA8wK+Nf+Xf7/+7SM8rIoVSA8g4\npvYg0Da7A40xTwFPAYXuBRa5Wiqgrh/FdSP7hQsXsm3bNsfjhIQETpw4wX/+8x8iIiL44YcfsNZS\nunRpHn74YWrWrAmk3krFx8cHDw8PPD09GTlyZJHHWpKokBK3cvz4cQBuvPHGImnfw8OD9+a9x28r\nf2PlwpXUbVqXqY9MpVSpUkVyPhEBY8xyoHo2u0ZZaxddy3NZaz8BPoHUHqlr2bZIfhV1LpPrzwMP\nPMADDzzgePz5558TGhqKj48Pfn5+vPjii5QtW5bIyEhmzJjBiBEjHMe+8MILlC9f3hlhuz0VUuJW\nli1bBhTtuHJjDJ1u7USnWzsV2TlE5P9Ya7sUsolDQMaP+GumbRNxScWRy8R1bd26lW+//Zbk5GTK\nlSvHE088QYUKFRg1ahSjR4+mbNnUudpjxozhpZdeYv/+/VmOr1ixYo7tr1+/nuPHj/PYY48BULdu\nXce+OnXqcObMmaK9wOuICilxK3fccYezQxAR1xMOBBtjapNaQPUF+js3JJGcKZdd3+rVq8crr7yC\nMYbVq1fzww8/0KtXL5o1a0ZERAQdOnRg3759VKlShYoVK+Z4fHZiY2OZP38+L7zwQrb3ily9ejWN\nGjXKtG3y5MkYY+jcuTM333xzkVxzSaVCStzKlUuPi0jJZozpAbwPVAW+NcZEWGvvNMYEAJ9Za++x\n1iYZY4YCPwCewP+stX84MWyRXCmXlWwnTpxg+kevc+7kfrZuOcz58+epUKGCY//p06f55JNPOHv2\nLMnJyfj5+QEQGhrKt99+S4cOHRwr7OZ2/JVSUlL4/PPP6d69e7bDRnft2sVvv/3G8OHDHduGDx9O\n5cqVOX/+PJMnT6Z69eoEBwdfy5ejRFMhJW7l6NGjAFSvnt10ChEpaay1C4AF2Ww/DNyT4fEyYFkx\nhiZy1ZTLSq4/Y/bz75fuZORtUdxYDwZFwCuDb+XNT1c4huPNnj2bLl260KxZM6KioliyZAmQOuzu\n+PHjnD9/noiICO69995cj7/SsmXLqFSpEh06dMiy7+DBg0yfPp1hw4ZRrlw5x/bKlSsDUKFCBZo3\nb86+fftUSBWAbsgrbuX777/n+++/d3YYIiIiV025rOT67N3hvHlPFDdWSn1csQyM6LSZqVNedxxz\n6dIlRwGzdu1ax3ZjDC1atOCbb77B39/fUfDkdHxGe/fuZc2aNTz66KNZ9p06dYqPP/6Yxx9/nGrV\nqjm2x8fHc/nyZcf327dvV29pAalHStzKXXfd5ewQRERECkW5rOQycQcok2Gh34QkeD8MVh/6hsNn\nUufH3XfffXzyySeULVuWkJAQTp486Tg+NDSUN954I9NCJLkdn27JkiUkJCQwaVLme14+/fTTfPfd\nd1y8eJFZs2YBOJY5P3/+PB999BEAycnJtGnTJsv8KcmdbsgrInKd0Q0WUylXiMi1NuLpu3m90/dk\nXOfhXBy8H/0Yo976n/MCu0rKF7nT0D5xK4cOHeLQIa1qLCIi7ku5rOTqMWAE7/7iT3o/RVIyvPFT\nEI/+bZxzA5MioaF94lZ+/PFHQPfeEBFxZefOnWPOnDns27ePsmXL4uXlRdeuXWnRosU1Pc/IkSMZ\nOXJkvm8mOmnSJM6ePYu3tzc+Pj4MHDiQatWqMX36dO644w78/f2LPAZQLivJ2nToTHLyDEbMeAuf\nlNMkeFdn4KjXqRUY6OzQpAiokBK3cs899+R9kIiIOI21lo8++oj27dszePBgIPXeNlu3bnVyZKme\neOIJAgMD+fXXX5k7dy7/+Mc/GDBgQLHGoFxWsrW/+Xba33y7s8OQYqBCStxKdvdFEBER17Fr1y48\nPT3p3LmzY5uvry+33XYbAImJicyaNYv9+/fj6elJr169aNCgQY7bExISmDZtGocPH6ZatWqcOXOG\n/v37E3jFJ/zr16/n559/Jikpidq1a9O/f/9sb0iaLjg4mJ9++glI7anq2bMn5cuXZ/Lkybz88suU\nK1eOf/3rX9x77700bNiwwO3nRrlMpGTQHClxKwcOHODAgQPODkNERLJx9uxZwsPDc11C+ZdffgFg\n3LhxDB48mKlTp5KYmJjr9rJlyzJ+/Hi6d+/On3/+maXNI0eOsHHjRoYPH86YMWPw8PBgw4YNuca6\ndevWLHH6+vpy5513MnPmTH788Uf8/f1p2LDhVbWfG+UykZJBPVLiVtI/PdS4chER15GUlMTTL7/J\n+iOexJ4+R5mzO7hsS/NY/x589dVXREdHO5Zcjo6OdvROVa9eHV9fX44dO5br9ttvTx0mFRAQkG2R\ntnPnTmJiYnjjjTeA1F6vChUqZBvr559/jre3N76+vvTr1y/L/k6dOrFp0yZWrlzJmDFjCtx+fiiX\niZQMKqTErXTr1s3ZIYiIyBVGvvE+P5TuiUfbm+DYTk79sZQ3v91H2xY76devHxcuXHAUIUWlffv2\n9OjRI8/j0udI5SQhIYHTp08DqTcpLV26dIHazw/lMpGSQUP7xK34+fnh5+fn7DBERCSD33adwOPG\nmwDwurEBNjmRMxUaMvl/c4HU4iRdcHCwY1jcsWPHOHXqFNWrV89xe7169Ui/39eRI0eyXTY8JCSE\nzZs3c/78eQAuXrxIbGzsVV3L/Pnzadu2Lffffz8zZsy45u2DcplISaEeKXEr+/fvByAoKMipcYiI\nyP9Jtv/3uawxhgqd/s7FzV+xdtP3vPmmJ6VKleLBBx8E4JZbbmHWrFlMmDABT09PBg0ahJeXV67b\np02bxvjx46levToBAQGUKVMm0/n9/f3p3r07kydPxlqLp6cn/fr1w9fXt0DXERUVxf79+xk+fDge\nHh5s2bKFNWvW0KFDh2vSfjrlMpGSwdj0O4aVILpbfck1bdo0QOPKRQpDd6pPpVxx7Tz+zwmE+f0D\nz/L/18vise0r/jcgkNs6dyhU2ykpKSQnJ+Pt7c2JEyd49913mThxIl5e7vtZsHKZuAvli9y577uQ\nXJe6d+/u7BBEROQKkyf8kwefGsWeSp25XKk+lQ7/RLdgw22dsy7mUFAJCQn8+9//Jjk5GWst/fv3\nd+siCpTLREoK934nkuvODTfc4OwQRETkChUrVuTHr95j3YaN7N4bze3P9smyut6yZcvYsGEDHh4e\nGGN45JFHqF27dp5tly5dmpEjRxYonuXLl3Po0CEGDhwIpN5jasOGDTzzzDMFaicnb7/9Ni+//HK+\njr18+TKvvvoqzz77LDfeeCPJycm89957DBgwgP3797N06dJMxx86dIihQ4fSuHHjTNuffvppatSo\nQUpKCtWrV+exxx6jVKlS1+R60p05c4avv/6aIUOGXNN2RUoqFVLiVvbu3QtAnTp1nByJiIhkZIyh\nfdvWtG/bOsu+vXv3sm3bNkaPHo2XlxcXLlwgKSmpyGL561//yuuvv86ePXvw9/dn0aJFPP/884Vu\nNyUlBQ8Pj3wXUZBaCPbokboM/LPPPktYWBgVKlTAWkuLFi1o0aKF49hff/2V9evX06hRoyztlCpV\nyrEc++eff86qVavo0qWLY3/6VA1jzNVeHpUrV1YRJVIAKqTEraxatQpQISUi4k7Onj1L+fLlHUPy\nypcv79i3c+dO5s6dS3JyMkFBQTz88MN4eXkxcuRI2rdvz++//05ycjJDhgyhWrVqjB07luHDhzuK\nkTFjxvDyyy9nuq+Th4cH/fv3Z9asWdSuXZuOHTs6VsmbNm0a3t7exMTEcOnSJXr16kXTpk1JSUlh\nwYIF7Nq1i6SkJG699VY6d+5MVFQUixYtomzZshw9epRXX32VYcOG8d577xEfH8+HH37IxYsXSU5O\n5oEHHqBZs2ZZrj80NJTffvuNH374gVWrVhEUFMSqVasy5bJjx46xdOlSXn755TyLoeDgYA4ePEhs\nbCz/+c9/qF27NjExMTzzzDMcO3aMJUuWkJiYSNWqVRk0aBA+Pj6MHDmS1q1bExkZiaenJ4888ggL\nFizg+PHj3HnnnXTu3JnY2Fg++OADxo0bx5o1a4iJiXHca+uDDz6ga9eu1K9fn2HDhnHLLbewbds2\nKlWqRI8ePZg3bx6nTp2id+/e2b4GIiWRU5Y/N8b0Msb8YYxJMcbkOIHNGLPfGLPNGBNhjNGMYKFH\njx7X7D4eIiJSPBo2bMipU6cYM2YMs2bNIioqCki9se20adN48sknGTduHCkpKaxcudLxvPLlyzN6\n9GhuueUWwsLCMMbQtm1bxzLpO3bsoGbNmtneHLdu3br4+/uzY8cO7rzzzkz7YmNjGTFiBM888wwz\nZ84kMTGR3377jTJlyjBy5EhGjhzJ6tWrOXnyJAB//vknffr04dVXX83Ujre3N3/7298YPXo0L7zw\nAt988w05LeLVp08f5s+fzz333EPfvn0z5bLk5GQ+//xzevXqRZUqVXJ9LVNSUoiMjHQMnTx+/Di3\n3HIL48ePx8fHh2XLlvHcc88xevRogoKC+PHHHx3PrVKlCmPGjKFevXpMmzaNIUOG8Morr7B48eJc\nz3ml+Ph4GjRowPjx4yldujQLFy7kueee429/+1uB2xJxZ87qkYoEHgT+m49jb7PWnizieMRNVKpU\nydkhiIhIPiUkJDBnzhx2797N7bffTrVq1YiKiuLTTz+lR48e1KpVCz8/P6pVqwak3vT2l19+4fbb\nbwdwDHsLDAxky5YtAHTs2JEpU6Zw++2389tvv9GhQ/arAsbHxxMTE0NycjLnz5/PNMe2VatWGGO4\n8cYbqVq1KkePHmX79u0cPHiQTZs2AXDp0iWOHz+Ol5cXQUFB2d73yVrLggUL2L17N8YYzpw5w/nz\n56lYsWKWY//44w8qVarE4cOHufnmmzPtW7RoEf7+/oSG5rw4WkJCgqOQCw4OpmPHjpw9e5YqVao4\nerb27t3L4cOHeeedd4DUAi1jr1d6T1GNGjUcNxsuXbo0Xl5exMXF5XjuK3l5eTmGH9aoUQMvLy88\nPT2pUaNGoe6vJeJunFJIWWt3QOHG8cr1KTo6GoB69eo5ORIpqCFDhtClSxd69eoFQFhYGPHx8dx3\n3305PmfatGk0bdqUli1bZto+ffp07rjjDvz9/fN17gMHDjg+dfb09KR///4EBQVhreXrr78mMjKS\nUqVKMWjQIGrVqgXAvHnz2LZtG9ZabrrpJvr06ZPlPWvSpEmcPXsWb29vfHx8GDhwoOMPwsIYNWoU\nw4YNy9TWnDlzqFSpEiEhIaxdu5a+ffsW+jwiReno0aM8+eST1KhRgxtuuIFPP/2UMmXK8PHHH1Oj\nRg3Wrl3r+P+WEy8vL4YMGULdunXx9PQEUj9Q++mnn7h8+TLWWkJDQ/n++++56667Mj138eLFtG3b\nlooVKzJnzpxMc3+u/L9sjMFaS9++fbPMT4qKisLHxyfb+NavX8+FCxcYNWoUnp6ejBw5ksTExCzH\nnTlzhp9//pkRI0bw6quvsnbtWhITE/H398day/nz55k4cWKur0XGOVIZXRlbw4YNGTx4cLZtpA+t\nNMZkWvnQw8ODlJQUNmzYwLZt2wDw9PTM1LuW8br27dvHhAkTaNKkCVFRUZQtW9bRbkpKSpbzxsTE\nON63oqKi8PT0pG7durler4g7cMrQvgKwQJgxZpMx5ilnByPOt3r1alavXu3sMOQqeHl5sWXLFi5c\nuFDotgYMGJDvIgpSi6Ju3boxZswY7r//fubNmwekfkJ8/PhxXn31VR555BFmzpwJwJ49e9izZw9j\nx45l3LhxxMTEsHv37mzbfuKJJxgzZgzt27dn7ty5+Y4puz820rVu3Zrw8HDHY2stmzZtIjQ0lMDA\nQBVR4hbGjRtH06ZN8ff3JykpierVq5OUlMTChQs5cOAAVapUoVq1apw8eZLjx48DsG7dOoKDgzO1\n4+Pjw7Fjx0hOTgZg+/bthISEsG7dOlq1akWLFi2yFFGHDh1i27Zt3Hnnndx8883ExsayY8cOrLWO\n/0/WWk6cOMGJEyeoVq0ajRo1YuXKlY7zHDt2jPj4+Fyv8dKlS1SoUAFPT0927dqVY2/MN998w913\n30358uW5cOECO3bsIDQ0lOeff55Dhw7Ro0cPSpcufVWvc0a1a9cmOjra8XrGx8dz7Nixq2rL19eX\nAwcOYK3l9OnTjpsIAxw+fJixY8fy0EMP0bhxY2666aZc28r4vrVr1y727NlzVTGJuJoi65EyxiwH\nqmeza5S1dlE+m+lkrT1kjLkR+NEYs9NauyqH8z0FPAXk+QmXuK+ePXs6OwS5Sp6entx8880sX76c\nBx54INO+2NhYvvjiCy5cuECFChUYOHBglnkCixYt4vTp0wwYMIB3332Xnj17EhgYyMyZM4mJiSEh\nIYFWrVpl28NljOHy5ctA6h8+6UNEIyIiaN++PcYY6tSpw6VLlzh79izGGBITEx33rUlOTs52DkZG\nwcHB/PTTTwCOORbly5cnJiaGuXPn8sILL7BkyRJOnDjByZMnqVKlCo8//ni2k9tbt27Np59+Srdu\n3QDYvXs3vr6++Pr6EhUVRVhYGEOHDiU+Pp7Zs2dz+PBhkpOTue+++2jWrBnvv/8+PXr0oGbNmrz2\n2ms0b96cbt26sXjxYt1CQIrN6dOnCQgIACApKYnIyEgSExN56623ePzxx3nkkUfw9vZm0KBBfPLJ\nJ47FJm655ZYsbTVo0IAdO3YAEB4ezn333cc777xDhw4dMi2KcO7cOb788ksWLlxI/fr1+fPPP6lc\nuTJHjx7llVdeoVmzZtx4442cOXOGLl26kJSURPfu3fH29qZTp04fVhpFAAAgAElEQVS89dZbrFy5\nkmPHjlGpUiXefvttpk2bxpYtW7j55ptp1qwZsbGxbN68mddee434+Hji4+PZtWsXxhj279+PtZaz\nZ8/yr3/9i5deeolDhw5x6tQpOnbsyJo1a2jfvj0hISHUqlWLlStX4u3tzfLly1m8eDGbN28mKSmJ\n+vXr8+KLL1K3bl2ioqJYsmQJkZGRjB07lsDAQB5//HG2b9/O999/73iN0t8bBg0axNChQzl16hTJ\nycn06NGDYcOGAanvo7t37+bgwYOUL1/esZBEdn799Vf27t1Lly5d8Pb2dhRLU6ZMITk5mddff527\n776bDRs2ULZsWbp27cqkSZPYs2cPb775JnFxcQwYMIDg4GBHbP369WPVqlV4eHiwfv16+vbty9Sp\nU3n11Vfx9PTk8uXLTJw40fFYxNUVWSFlre2S91F5tnEo7d/jxpgFQBsg20LKWvsJ8Amk3q2+sOcW\n15RxpSdxfYmJiRw/fpyqVasCcNtttzFx4sQsE79nz55N+/btad++Pb/99huzZ8/m73//u2P/vHnz\nuHz5MgMHDswyJOeBBx6gXLlypKSk8O6773Lw4EFq1qyZ6ZjevXvzn//8h7lz52KtZfjw4UDqcJuM\nhcUNN9zAmTNnqFOnDg0aNOCll17CWsttt92WZw/Y1q1bs9w3JztHjhxh+PDheHt78+uvvzomtycl\nJfHOO+/QsGFDatSogTHGcS3h4eG0bp11SenvvvuOkJAQBg4cSFxcHG+++SYhISEEBwcTHR2Nr68v\nHh4ejk9/d+/ezSOPPJJnjCLXgofH/w16qVy5Mp06deLSpUtA6j2R0oWEhDB69Ogszx82bJjjQ4Z7\n7rkHay2JiYkcPHiQoKAgKleuTPXq1R23xQD4+uuvadCgAWFhYaSkpBAfH09cXBwJCQm8++671KlT\nhw8//JA9e/awcOFCypUrx+TJk4mIiKB58+bUrFmTZ555hsaNG/PRRx/x/fff8/rrr3PkyBGmTp1K\ns2bNqFChAitWrMDb25vjx4/z2WefOe5z9b///Y9t27bxxx9/cP/991OxYkUqVqzoKEIOHz5MrVq1\neOyxxxwx33333UDqHChjTLbt/vnnn8ybN4/KlSvzzjvvsGfPHm666SZmzJjBhAkTABzvEyEhIUyd\nOjXL++KoUaN4++23mTBhAsaYTHOi3njjDSB12ORDDz0EpH4A1bJlSz7++GOOHj3KlClTqF+/PvXr\n12fXrl2OYYZHjhzJNLxw0KBB9OrVi8jISJYuXco///lPxz5fX186d+6Mj48PXbt2BVKL5G3bttG8\neXPCw8Np0aKFiihxGy67/LkxphzgYa09n/Z9VyD3AcRS4u3atQtIfeMV1zb54/eZ8/MSLpROpuxl\nD8yROEqXLk27du34+eef8fb2dhy7Z88exx9W7dq1cwy9A/j222+pXbt2jgXApk2bWLVqFSkpKZw9\ne5YjR45kKaRWrlxJ7969admyJRs3bmT69OmZkvuVjh8/zpEjR3j77bdTr2XyZHbv3p1lyBGk3s/F\n29sbX1/fXD/dTdesWTPHtec0ud3Pz88xvC8gIICIiIhse9q2b9/O77//TlhYGJBauJ46dYrg4GB+\n/vln/Pz8aNKkCTt27CAhIYHY2NhrModLJD86d+5MRESE4wMGay07duzgvffey/V5CQkJTHzxEXwv\n/0adSqfY+LMPK5rXITY2gfDwcBITE5k9e3a2S2zv3LnTUaR4eHhQpkwZ4uLiMi3IcPLkSYKCghy9\nzG3btmX37t00b948X4soJCcn89VXX3HgwAE8PDwyDZ3r27cvEyZMoHbt2tl++JEuu1yWW7u1a9d2\nfOhTs2ZNYmNjqVevHo0bN2br1q20atWKbdu2OYqg7N4XAwIC8Pb2Zvr06TRt2pQmTZrk+nMAaN68\nOcYY/P39OXfuXJ7HA445rbVq1crXwhOdOnXihx9+oHnz5qxZs4ZHH300X+cRcQVOKaSMMT2A94Gq\nwLfGmAhr7Z3GmADgM2vtPUA1YEHap89ewCxr7fc5NirXhbVr1wIqpFzdsrDv+Wz9QjzbVMUAl4CD\n03bx5Zyv6HHv/bz++us5rrR1pcDAQGJiYrh48SLlypXLtO/kyZOEhYUxcuRIypYty7Rp07Kd6L12\n7Vr69OkDpK7WNWPGDCD1U/LTp087jjt9+jSVK1dm/fr11KlTx/Epa6NGjdi7d2+2hdQTTzxBYGBg\npm0eHh6OSdpXxlOqVCnH9zlNbofUeVKTJ0+mfv361KhRI9tVwKy1PP3001mKo6SkJPbv34+fnx83\n3XQTFy5c4Ndff9WwZylWf/vb35g0aRJr1qzBWou3tzfPPvtslv8vV3rvzZd4rM486t6YOo/wp62X\nubjlLSqEjHYMk7148aLjA4T8yNhj0r17dzZv3pztcZ6eno5e74wLMmRcRGH58uVUrFiRsWPHYq3l\nH//4h+P5p0+fxhjDuXPnsNZm6UEPCAggKiqKAwcOAJlzWW7tXrkwRPo8rtDQUH755RfKlStHUFAQ\npUuXzvF90cPDgxEjRrBz5042bdrEihUr8rxJccYPvPIrPdb0BSzyUrduXWJjY4mKiiIlJcUxHFTE\nHThlsQlr7QJrbU1rrY+1tpq19s607YfTiiistXuttc3SvhpZa193RqziWnr37k3v3r2dHYbkYerc\nL/G4KfNSwaayD3O+Tx1K06pVq0yLhtStW9exuML69eszFSyNGzfmrrvu4oMPPnDMc0p3+fJlfHx8\nKFOmDOfOnSMyMjLbeCpXruxYLGLXrl3ceOONQGrv0Nq1a7HWsnfvXsqUKUOlSpWoUqWKI6knJyez\ne/fuAi1u4evrS0xMDECOf7ABuU5ur1q1KuXLl2f+/Pm0adMmx+f//PPPjqIt/Y8zLy8vqlSpwqZN\nm6hbty7BwcH8+OOP2RaCIkXFGMOLL77IvHnz+Oabb5gzZw5//etf83ze6f2rHUVUukFtYzkcvZZu\n3brlOoQ2JCTEcR+qlJQUx1DCjIKCgoiKiuLChQuOlerq16+f7+tKn2dpjGHdunWOYiElJYUvvviC\nwYMH4+/vn+n+TenatGnDnj17aNiwoSOX7d69m8OHD+fYbm7S54H9+uuvjqXTc3pfjI+P59KlSzRu\n3JjevXtz8ODBfF/ztVS6dOksi3i0a9eOzz77LN8fsIm4Cpcd2ieSnfQlVsW1JaYkYTyuvL2BISkl\ntWC44447WLFihWNP3759+eKLLwgLC3MsNpFRq1atuHz5MlOmTHFMmobUIS5/+ctfGDt2LFWqVMlx\nWfxHH32Ur7/+mpSUFLy8vBzDBBs3bkxkZCSjR492LH8OqUNTdu7c6ZhL0KhRI5o2bZrv6+/WrRvT\np09n8eLFuf6B1qlTJ2JjY3nttdeA1DmAGeeGtWnThvnz5zvupXOle++9l6+//pqJEydircXPz4+h\nQ4cCqbcI2LlzJ97e3tSrV4/Tp0+rkBKnuHKp7bxlLSA8PcCnlFeehVifPn348ssvWb16NR4eHjz8\n8MNZ7j9YqVIlHnzwQSZNmgRAkyZNsh0mmJNbb72Vjz/+mHXr1tGoUSNHb9eyZcsIDg6mXr161KxZ\nkzfeeIMmTZpk+hDG29uboUOHMmfOHJYsWeIYNtinT58c282Nh4cHTZo0Ye3atY4hjTm9L16+fJkP\nP/yQxMRErLWOW1EUt6ZNm/Lf//6XiIgI+vbtS3BwMG3btmXRokW5DocUcUUmpztwu7PQ0FC7ceNG\nZ4chRSB91aa8lloV53r3w/f4JPo7SgX83x8wibEX6FmxDRNHjHViZAJgjNlkrc35zp/XCeUK1/TG\nyKcYGPApNTIs3PnFusrc1G8pbdp3dF5g15ByWWabN28mIiKCxx9/3NmhyBWUL3KnHilxK+vXrweU\nfFzdM0/9nfV/30jkH4dJqlYazxOXqZ9UhdETXnF2aCLi4v455j+MeeYAN5XeQP0qp/j1YCA3NHqk\nxBRRoFyW0ezZs4mMjOSZZ55xdigiBaYeKXEr6XNkrsWNC6Xobdqymd82rKVN81a0a9vO2eFIGn3C\nmEq5wrVFRUURs28vrVq3yXJfOXenXCbuQvkid+qREreipONeWrVoSasWLZ0dhoi4ofR7FpVEymUi\nJYNTVu0TuVqRkZE5rswmIiLiDpTLREoG9UiJW0kfhtO4cWMnRyIiInJ1lMtESgYVUuJWHn74YWeH\nICIiUijKZSIlgwopcStXc5d1ERERV6JcJlIyaI6UuJWtW7eydetWZ4chIiJy1ZTLREoG9UiJW9m8\neTOQemd0ERERd6RcJlIyqJASt/Loo486OwQREZFCUS4TKRlUSIlb8fT0dHYIIiIihaJcJlIyaI6U\nuJWIiAgiIiKcHYaIiMhVUy4TKRlUSIlbUfIRERF3p1wmUjIYa62zY7jmjDEngJgcdvsBJ4sxnPxS\nXPnnijGB4ioIV4wJrp+4Aq21Va9he24pj1xxtVz1dygvirv4uWvsirt4OTtu5YtclMhCKjfGmI3W\n2lBnx3ElxZV/rhgTKK6CcMWYQHFJ4bnrz0pxFz93jV1xFy93jft6oaF9IiIiIiIiBaRCSkRERERE\npICux0LqE2cHkAPFlX+uGBMoroJwxZhAcUnhuevPSnEXP3eNXXEXL3eN+7pw3c2REhERERERKazr\nsUdKRERERESkUFRIiYiIiIiIFFCJL6SMMb2MMX8YY1KMMTkuH2mM2W+M2WaMiTDGbHShuO4yxuwy\nxkQbY14phriqGGN+NMbsTvv3hhyOS057rSKMMYuLKJZcr90Y42OM+Tpt/3pjTFBRxHEVcQ0yxpzI\n8PoMLoaY/meMOW6MicxhvzHGvJcW81ZjTMuijimfcd1qjDmb4bUaWwwx/cUYs8IYsz3t/+Cz2RxT\n7K9XPuMq9tdLcueqOSYvrpqD8uJKOSo/XDWP5cUV81x+uGouzIsr5krJJ2ttif4CbgIaAL8Aobkc\ntx/wc6W4AE9gD1AHKAX8DjQs4rjeAV5J+/4V4O0cjrtQxHHkee3A34GP077vC3xdDD+3/MQ1CPig\nuH6X0s7ZGWgJROaw/x7gO8AA7YD1LhLXrcDSYn6t/IGWad9XAKKy+RkW++uVz7iK/fXSV54/N5fM\nMdcibmfkoHzE7RI5Kp+xumQeu0ZxF3uey2fsLpkLr0Hceu930a8S3yNlrd1hrd3l7DiulM+42gDR\n1tq91toEYDbQvYhD6w58kfb9F8ADRXy+nOTn2jPGOhe43RhjXCCuYmetXQWcyuWQ7sB0m2odUNkY\n4+8CcRU7a+0Ra+3mtO/PAzuAGlccVuyvVz7jEhfjqjkmLy6cg/LiKjkqP1w1j+XFFX/u+eKquTAv\nrpgrJX9KfCFVABYIM8ZsMsY85exg0tQADmR4fJCi/8OqmrX2SNr3R4FqORxX2hiz0RizzhhTFIks\nP9fuOMZamwScBXyLIJaCxgXwUNqwgbnGmL8UcUz54Yzfpfxqb4z53RjznTGmUXGeOG0YTQtg/RW7\nnPp65RIXOPH1kkJxxRyTF1d833CVHJUfrprH8uKueS4/XPF3Or/03u+CvJwdwLVgjFkOVM9m1yhr\n7aJ8NtPJWnvIGHMj8KMxZmfaJwTOjuuayy2ujA+stdYYk9P6+IFpr1cd4GdjzDZr7Z5rHaubWgJ8\nZa2NN8YMIfXTxr86OSZXtZnU36ULxph7gIVAcHGc2BhTHpgHPGetPVcc58yPPOJy2ut1PXPVHJMX\nV81BeVGOcgvKc8VL7/0uqkQUUtbaLtegjUNp/x43xiwgtWu7UEnuGsR1CMj4KU/NtG2Fkltcxphj\nxhh/a+2RtO7u4zm0kf567TXG/ELqp+fXMknl59rTjzlojPECKgGx1zCGq4rLWpsxhs9IHdPvbEXy\nu1RYGQsFa+0yY8yHxhg/a+3JojyvMcab1GJlprV2fjaHOOX1yisuZ71e1ztXzTH5OKdL5qC8uEmO\nyg9XzWN5cdc8lx8umQvzovd+16WhfYAxppwxpkL690BXINuVU4pZOBBsjKltjClF6kTUol59aDEw\nMO37gUCWTy2NMTcYY3zSvvcDOgLbr3Ec+bn2jLH2BH621hb1HabzjOuK8db3kzrXxdkWAwPSVixq\nB5zNMDzGaYwx1dPnAxhj2pD6nlSkf0Skne9zYIe19t85HFbsr1d+4nLG6yWF58I5Ji/OyEF5cZUc\nlR+umsfy4q55Lj9cMhfmRe/9LuxqVqhwpy+gB6ljYOOBY8APadsDgGVp39chdVWa34E/SB324PS4\n0h7fQ+rqXXuKKS5f4CdgN7AcqJK2PRT4LO37DsC2tNdrG/BEEcWS5dqBicD9ad+XBr4BooENQJ1i\n+p3KK643036PfgdWACHFENNXwBEgMe336gngaeDptP0GmJIW8zZyWV2smOMamuG1Wgd0KIaYOpE6\nX2UrEJH2dY+zX698xlXsr5e+8vy5uWSOuRZxpz0u1hyUj7hdJkflM16XzGPXIO5iz3P5jNslc+E1\niFvv/S76ZdJ+QCIiIiIiIpJPGtonIiIiIiJSQCqkRERERERECkiFlIiIiIiISAGpkBIRERERESkg\nFVIiIiIiIiIFpEJKpJCMMcnGmIgMX0EZ9k02xhwyxnhk2BZijFlrjIk3xrzojJhFRKT4XUW+eNgY\ns9UYs80Ys8YY08wZcYtI9rycHYBICXDJWtv8yo1pybAHcAC4hdR7bQCcAoYBDxRbhCIi4goKmi/2\nAbdYa08bY+4GPgHaFlewIpI79UiJFJ1bSb2B3kdAv/SN1trj1tpwUm+8JyIicivZ54s11trTaQ/X\nATWLPzQRyYkKKZHCK5NhmMaCDNv7kXq38gXAvcYYb+eEJyIiLqIw+eIJ4LviCFJE8kdD+0QKL8tQ\nDWNMKeAe4Hlr7XljzHrgTmCpMwIUERGXcFX5whhzG6mFVKfiDFZEcqdCSqRo3AlUBrYZYwDKApdQ\nISUiIpnlmi+MMU2Bz4C7rbWxzgpSRLJSISVSNPoBg621XwEYY8oB+4wxZa21cc4NTUREXEiO+QLw\nA+YDj1pro5wYo4hkw1hrnR2DiFszxlyw1pbP8LgscBAIstaey7B9PvA1sBLYCFQEUoALQMOMx4qI\nSMlzFfniDuAhICZtV5K1NrQYQxaRXKiQEhERERERKSCt2iciIiIiIlJAKqREREREREQKSIWUiIiI\niIhIAamQEhERERERKSAVUiIiIiIiIgWkQkpERERERKSAVEiJiIiIiIgUkAopERERERGRAlIhJSIi\nIiIiUkAqpERERERERApIhZSIiIiIiEgBqZASEREREREpIBVSIiIiIiIiBaRCSkREREREpIBUSImI\niIiIiBSQCikREREREZECUiElIiIiIiJSQCqkRERERERECkiFlIiIiIiISAGpkBIRERERESkgFVIi\nIiIiIiIFpEJKRERERESkgFRIiYiIiIiIFJAKKRERERERkQJSISUiIiIiIlJAKqREREREREQKSIWU\niIiIiIhIAamQEhERERERKSAVUiIiIiIiIgWkQkpERERERKSAVEiJiIiIiIgUkAopERERERGRAlIh\nJSIiIiIiUkAqpERERERERArIy9kBFAU/Pz8bFBTk7DBERFzSpk2bTlprqzo7DhEREXdWIgupoKAg\nNm7c6OwwpAhEREQA0Lx5cydHIuK+jDExzo5BRETE3Wlon7iViIgIRzElIiIiIuIsJbJHSkquQYMG\nOTsEERERERH1SImIiIiIiBSUCilxK5s2bWLTpk3ODkNERERErnMqpMSt/PHHH/zxxx/ODkNERERE\nrnMqpNxEREQEQ4YM4ejRo4VqZ9q0aWzevDnfx69atYp169Y5njty5EheffVVXnvtNfbu3QvApEmT\niIkpnkXABgwYwPnz5x0xAcyYMYOwsLBiOb+IiIiICKiQchvh4eHUq1eP8PDwYj1v586dadeuneNx\nz549GTNmDA8++CBffvllscaSrm/fvixevJi4uDj27NnDvn376NKli1NiEREREZHrk1NX7TPG/A/o\nBhy31jbOZv+twCJgX9qm+dbaicUXoWuIj48nOjqa559/nilTpnDfffcBEBUVxeLFi/Hx8eHEiRM0\naNCA/v37Y4xh2LBhdOrUie3bt1OpUiUGDx5MhQoVMrUbExPDN998Q3x8POXLl2fQoEFUqlQp0zFL\nlizBx8eHrl27ZtoeHBzM8ePHHY83bdrErFmziIuLY8CAAQQHB5OYmMisWbPYv38/np6e9OrViwYN\nGrBmzRq2bt1KQkICJ06coHnz5jz00EMAbN++nSVLlpCYmEjVqlUZNGgQPj4+jvOkF5I333wz8+fP\nZ9++ffTr1w8PD30mICIiIiLFx9l/fU4D7srjmF+ttc3Tvq67IgpSh/U1atSIatWqUa5cuUzD6NIL\nifHjx3PixAm2bNkCpBZfgYGBjB8/nuDgYJYuXZqpzeTkZGbPns2QIUMYNWoUHTt2ZOHChfmOaevW\nrdSoUSNTeyNGjKBPnz6Oc/3yyy8AjBs3jsGDBzN16lQSExMBOHDgAE8++SRjx45l48aNnD59mgsX\nLrBs2TKee+45Ro8eTVBQED/++GOm80ZFRREVFUXXrl2JjIwkICCA4ODg/L+YIiIiIiLXgFN7pKy1\nq4wxQc6MwVWdPHmSRd/9xI2+N7B39w5Hj1Dr1q0JDw8nMDAQgNq1a+Pn5+fYFx0dTcuWLTHG0Lp1\nawDatWvHRx99lKn9Y8eOcfjwYSZPngxASkpKlt6o7MydO5dvv/2WChUqMHDgQMf2li1bAlCrVi1i\nY2MBiI6O5rbbbgOgevXq+Pr6cuzYMQBCQkIoU6YMAP7+/sTGxhIXF8fhw4d55513gNTirE6dOpnO\n//DDDwOpvWnWWo4ePYq1FmNM3i+qiIiIiMg14g435G1vjPkdOAy8aK3Ndsk2Y8xTwFOQ+se8O5v8\nyZd88tN+Tgd1x5w7QPIPn7Fjx06qVLmBlJQUAMdQuPy6stCw1hIQEMDLL79coHZ69uzpKJoy8vJK\n/VXy8PBwxJib9OOvfE7Dhg0ZPHhwrs+11jJr1iyeeOIJVq5cycqVK7n11lsLcBUiIiIiIoXj7KF9\nedkMBFprmwHvAzmOPbPWfmKtDbXWhlatWrXYArzWDh06xMcrDnKxw2hKBTQh2bsCSe1eYF9cOd54\n4w3eeust/Pz8iI6OBmD//v2cPHkSay0bN26kXr16QGqxkX6/pQ0bNji2p6tWrRrnz593rLyXnJzM\n4cOHr+m1BAcHs2HDBiC1B+zUqVNUr149x+Nr165NdHS0Y+5VfHy8owcr3bp16/joo4+oVq0a9evX\np1evXnz//fecP3/+msYuIiIiIpIbl+6Rstaey/D9MmPMh8YYP2vtSWfGVZSmf/Mt5+v3c/xgEv7c\nQOmQuzgQc4SLFy9Srlw5WrZsyYYNG2jdujVBQUF89dVXjsUmWrRoAYCPjw/79+9n2bJlVKhQgSef\nfDLTeby8vBgyZAhff/01ly5dIjk5mdtvv52AgIBrdi233HILs2bNYsKECXh6ejJo0KBMPVFXqlCh\nAoMGDeKzzz4jKSkJgO7du1OtWjXHMdu3b+eHH35gxowZAFSuXJkuXbowf/78TEMNRURERESKkrHW\nOjeA1DlSS3NYta86cMxaa40xbYC5pPZQ5Rp0aGio3bhxY1GEW+Q+/N9MXotqjrd/o0zbK62dQPgX\nr2RawS4qKoqwsDCGDh2apZ1hw4bx3nvvFXm8IuJ+jDGbrLWhzo5DRETEnTl1aJ8x5itgLdDAGHPQ\nGPOEMeZpY8zTaYf0BCLT5ki9B/TNq4hyd4/2uh+/nZ+T8TKTzx2lsV9SpiJKREREREScx+k9UkXB\nnXukAFav28jL/57JibIheCecoVHFs0ydNIpy5co5OzSnW7NmDQAdOnRwciQi7ks9UiIiIoXn0nOk\nrled2oWy+utWHDp0iPLly1O5cmVnh+QyDh486OwQRERERERUSLkqYww1a9Z0dhgup3fv3s4OQURE\nRETE5Zc/FxERERERcTkqpMStrF69mtWrVzs7DBERERG5zmlon7iVo0ePOjsEEREREREVUuJeevbs\n6ewQREREREQ0tE9ERERERKSgVEiJW1m5ciUrV650dhgiIiIicp3T0D5xK7Gxsc4OQUREREREhZS4\nlwcffNDZIYiIiIiIaGifiIiIiIhIQamQEreyYsUKVqxY4ewwREREROQ6p6F94lbOnTvn7BBERERE\nRFRIiXvp3r27s0MQEREREdHQPhERERERkYJSISVuZfny5SxfvtzZYYiIiIjIdU5D+8StXLp0ydkh\niIiIiIiokBL3ct999zk7BBERERERFVIlTUREBB999BETJkygevXqV93OtGnTaNq0KS1btszX8atW\nraJUqVK0a9eOadOmERUVRZkyZTDG0L9/f+rUqcOkSZPo2bMngYGBVx1XQRw4cICZM2eSmJiIp6cn\n/fv3JygoKNMxUVFRTJkyBT8/P5KSkmjdujXdunUjKiqKsLAwhg4dWiyxioiIiIh7USFVwoSHh1Ov\nXj3Cw8OLtfemc+fOmR737NmTli1bsn37dr788kvGjh17Tc4TFhYGQNeuXfM8dt68eXTr1o3GjRsT\nGRnJvHnzeOGFF7IcFxwczNChQ4mPj+e1116jadOm1yRWERERESm5VEiVIPHx8URHR/P8888zZcoU\nRyEVFRXF4sWL8fHx4cSJEzRo0ID+/ftjjGHYsGF06tSJ7du3U6lSJQYPHkyFChUytRsTE8M333xD\nfHw85cuXZ9CgQVSqVCnTMUuWLMHHxydLgRMcHMzx48cdjzdt2sSsWbOIi4tjwIABBAcHk5iYyKxZ\ns9i/fz+enp706tWLBg0asGbNGrZu3UpCQgInTpygefPmlC5dGoDt27ezZMkSEhMTqVq1KoMGDcLH\nxyfTuY0xXL58GUidW3VlzFfy8fGhVq1aHD9+nIoVK+Z4bQkkyicAACAASURBVBMmTGDo0KGUL1+e\nTz75hDNnzpCSksK9995LaGhonj8nEREREXF/WrWvBImIiKBRo0ZUq1aNcuXKERMT49i3b98++vXr\nx/jx4zlx4gRbtmwBUouvwMBAxo8fT3BwMEuXLs3UZnJyMrNnz2bIkCGMGjWKjh07snDhwnzHtHXr\nVmrUqJGpvREjRtCnTx/HuX755RcAxo0bx+DBg5k6dSqJiYlA6vC8J598krFjx7Jx40Y6dOjALbfc\nwrJly3juuecYPXo0QUFB/Pjjj1nO3bt3b+bOncsrr7zC3Llz6dGjR66xXrx4kX379hEQEJCva/vj\njz+oXLkyY8aMYdy4cTRq1ChfzxMRERER96ceKTf244rf+H9TF3E6uQyVPS8RXCmBZ/4+BIDWrVsT\nHh7umI9Uu3Zt/Pz8HPuio6Np2bIlxhhat24NQLt27fjoo48ynePYsWMcPnyYyZMnA5CSkpJnzw7A\n3Llz+fbbb6lQoQIDBw50bE+fc1WrVi1iY2MBiI6O5rbbbgOgevXq+Pr6cuzYMQBCQkIoU6YMAP7+\n/sTGxhIXF8fhw4d55513gNTirE6dOlliWLlyJb1796Zly5Zs3LiR6dOn889//jPLcbt37+a1117D\nGMNdd91FQEAAUVFReV5jjRo1mDt3LvPnz6dJkyYEBwfn+RwRERERKRlUSLmpTVu2MvST1Vxq+zbG\nGI5cvkD453dy4dxZatbwJyUlBYCHHnqoQO0aYzI9ttYSEBDAyy+/XKB20udIXcnLK/VXzsPDwxFj\nbtKPT3/OL7/8QmJiIg0bNmTw4MG5Pnft2rX06dMHgFatWjFjxoxsj0ufI5UTT09PrLWOx+m9ZdWq\nVWPUqFFERkayaNEiQkJC6NatW57XJCIiIiLuT0P73NQ7n37DpdbPOwqfxENb8Gz9FBfLBPDGG2/w\n1ltv4efnR3R0NAD79+/n5MmTWGvZuHEj9erVA1ILpU2bNgH8f/buPa6qKm3g+G9xuAiCgqKoKAqC\nonhFUNTSzHJq0kyzUjOj0qzexndGZ0oxvGZak5NZ5jtd0RIvoeWNSSu7jZkIaqgoiAReULkriNzO\nWe8fB04iV0s9ks/38zmfOHuvvfazt3yqx7XWs4iJibEcr+Dh4UF+fj4pKSmAefQnPT39mj6Ln58f\nMTExgHkELCcnp9aKgx4eHiQnJ1vWXhUXF1tGsC7n6urKsWPHAEhMTKRly5a/Kb7mzZtz4sQJAE6c\nOEFWVhYAeXl52Nvb069fP4YNG2ZpI4QQQggh/vhkRKqByi+1QRnsLN9LTsTQyP8eCjKPW44FBgYS\nExNDcHAwHTp0YM2aNZZiE7179wbMBRZSU1OJjo7GxcWFyZMnV7qPra0tU6ZMYd26dVy6dAmj0cjQ\noUPrvY6oPgYPHkxkZCTz5s3DYDAQGhpaaSTqcoMGDaJTp0507dqV999/n7KyMgBGjhyJh4dHpbaP\nPfYY69atw2QyYWtry4QJE35TfIGBgezevZu5c+fi7e1tuc/p06fZsGEDSikMBgOPPvrob+pfCCGE\nEEI0POryKUt/FEFBQTo2NtbaYVxXf5v9Tz61ewxDk19HbowFWTxw8X3efmVGpba17Yk0depUli1b\ndt3jFWLKlCncddddPPTQQ4C5lH1xcXGtZfpr2s9s1apV3H333bRu3bpe965pTzGtNevWrePQoUPY\n29sTGhqKl5cXYC6ff/DgQbTWdOnShUceeaTK1NclS5Zw/vx57OzscHBw4PHHH6+S0P8Ws2bNYurU\nqZX6Wr9+PU2bNsXf35/du3czduzY39y/UipOay0lJoUQQojfQab2NVBzpk3Ga/98ys4dAcCYkUjb\n2NnM//vTVo7s+tq2bRvbtm2zdhjiN7C1tWX//v0UFBT87r4mTpxY7yQKft1TLDw8nPvvv58NGzYA\n5sqLGRkZLFiwgAkTJrB69WoAjh8/zvHjx5k9ezZz5swhLS3NMk30Sk899RTh4eH079+fqKioesdU\n2xrBimIxFSqm4AYFBdG+ffvflUQJIYQQ4tqQqX0NlKurK1998jrvfLSWA0fX0qOTF/8T9k8aN25c\npW2nTp3o1KlTtf00tNEoOzu7uhuJm5LBYOD222/nq6++4oEHHqh0Ljs7m5UrV1JQUGCp9NisWbNK\nbTZt2kRubi4TJ07kjTfeYMyYMbRv357Vq1eTlpZGSUkJffr0qXaEq6Y9xQ4cOED//v1RSuHj48Ol\nS5c4f/48SilKS0sxGo1orTEajVX2V7uSn58fX3/9NQBhYWGEhYXh7OxMWloaUVFRTJ8+nS1btpCZ\nmUlWVhbNmjXjySef5LPPPiMxMZGysjLuuOMOBg0aRHBwMO+9956leMmxY8do3rw5zZs3rzTCXFxc\nzNq1a0lPT8doNDJixAh69uzJW2+9xahRo2jbti0vv/wyvXr1Yvjw4WzevBk3N7ff9gcohBBCiEok\nkWrAnJyc+Pv/PGntMG6oKzf8FQ3LkCFDmD9/Pn/6058qHV+7di39+/enf//+7Nq1i7Vr1/Lcc89Z\nzm/YsIGioiIef/zxKtPrHnjgARo3bozJZOKNN97g1KlTtG3btlKbhx9+mDfffJOoqCi01rzwwguA\nuWDI5YmFm5sbeXl5+Pj40LlzZ/7xj3+gtWbIkCF1joBduWdaTc6cOcMLL7yAnZ0dP/zwA46OjoSF\nhVFWVsZrr71G165d8fT0RClleZa9e/datim43H/+8x/8/f15/PHHKSwsZNGiRfj7++Pn50dycjLN\nmzfHxsaG48fNayePHTv2m9cKCiGEEKIySaSEENfF0aRE5r+xmOxL53F1cMYmv4xGjRoREhLCzp07\nK40uHj9+nGeeeQYw72dWMfUOzNM5vb29a0wA4uLi+P777zGZTJw/f54zZ85USaTqu6dYhYyMDM6c\nOcOrr74KwNKlSzl27Fi1e4V98MEH2NnZ0bx5c8aNG1fne+nZs6fl2RMSEjh16pSlcualS5fIyMjA\n3d3dMr2vTZs2HDhwoNqRtoSEBH7++Wd27NgBmEvz5+Tk4Ofnx86dO3F3d6d79+4cOXKEkpISsrOz\nr8kaLiGEEEJIIiUamC1btgDUWqBAWF9qairjX3ia0pCW2Njac8ZYxJn3dhF/6CBDhw5l4cKFDBgw\noF59tW/fnrS0NC5evFhl6mpWVhY7duwgLCwMJycnIiIiLPt8Xa6mPcVcXV3Jzc21tMvNzcXV1ZU9\ne/bg4+ODg4MDAAEBAaSkpFSbSD311FOWja8r2NjYWPYeuzIee3t7y89aa8aOHUtAQECVfoODg1m6\ndCmdOnXC09OTJk2aVGmjteaZZ56pkhyVlZWRmpqKu7s7Xbp0oaCggB9++MFSSEMIIYQQv58UmxAN\niqOjI46OjtYOQ9Th5TdfoyTYHRtbAwDKYIOppROL3l5C48aN6dOnD//9738t7Tt27GgprrBnz55K\nCUu3bt245557ePvtty3rnCoUFRXh4OCAo6MjFy5c4NChQ9XGU9OeYj179mT37t1orUlJScHR0ZGm\nTZvSrFkzkpKSMJlMGI1Gjh07dlXFLZo3b05aWhoA+/btq7FdQEAA3333HUajETDvo1ZcXAxAixYt\ncHZ2ZuPGjfTt27fG63fu3GlJ2k6ePAmYC3s0a9aMuLg4OnbsiJ+fH19++WW1iaAQQgghfhsZkRIN\nyl133WXtEEQ9ZBXkYvCsXBhE2Sjyis0V++6++26++eYby7mxY8eycuVKduzYYSk2cbk+ffpQVFTE\n8uXLmTp1quV427ZtadeuHbNnz6ZZs2ZVNpSuUNOeYt26dePQoUO89NJLlvLnYN477OjRo8ybNw+l\nFAEBAfTo0aPezz98+HBWrVrF5s2bayz0AnDbbbeRnZ3Nyy+/DICzs3OltWF9+/Zl48aNln3frnTf\nffexbt065s+fj9Yad3d3yzYHvr6+HD16FDs7O3x9fcnNzZVESgghhLiGZB8pIcQ19/yMv/GNUyq2\nTg6WY6aSMvqcaUbEW+9aMTIBso+UEEIIcS3I1D7RoGzatIlNmzZZOwxRh/C/zaBxXB5lF83T1IyX\nSrDfk8ncv4dZOTIhhBBCiGtDEinRoDRp0qTaRffi5uLh4cG299dzV3FHOiYZGFzgxZYVa+jQvoO1\nQxNCCCGEuCZkat8fwIEDB1ixYgXz5s2jVatWv7mfiIgIevToQWBgYL3af//999jb2xMSEkJERARJ\nSUk4OjqilGL8+PH4+PiwZMkSy8apN8LJkydZvXo1paWlGAwGxo8fT4cOHW7IvYVoKGRqnxBCCPH7\nyYjUH8DevXvx9fW1VD27UQYNGkRISIjl+5gxYwgPD2f06NF88sknNzSWChs2bGD48OGEh4dz//33\nV9qPSAghhBBCiGtFqvY1cMXFxSQnJzNt2jSWL19u2V8pKSmJzZs34+DgQGZmJp07d2b8+PEopZg6\ndSq33XYbCQkJNG3alEmTJuHi4lKp37S0ND799FOKi4txdnYmNDSUpk2bVmqzZcsWHBwcGDZsWKXj\nfn5+ZGRkWL7HxcURGRlJYWEhEydOxM/Pj9LSUiIjI0lNTcVgMPDQQw/RuXNnfvzxR+Lj4ykpKSEz\nM5NevXrx4IMPAubNRxctWoTRaGTw4MGEhoZa9vmpoJSylMi+dOlSlZiFEEIIIYS4FmREqoE7cOAA\nAQEBeHh40LhxY8veNQC//PIL48aNY+7cuWRmZrJ//37AnHy1b9+euXPn4ufnx9atWyv1aTQaWbt2\nLVOmTGHWrFkMHDiQzz//vN4xxcfH4+npWam/mTNn8sgjj1ju9e233wIwZ84cJk2axEcffWTZuPTk\nyZNMnjyZ2bNnExsbS25uLgUFBURHRzNx4kSmTJlChw4d+PLLL6vc++GHHyYqKooZM2YQFRXFqFGj\n6h23EEIIIYQQ9SUjUg1QYWEh6z7bxsXCIgqyTzNy5EgAgoOD2bt3r2U9kre3N+7u7pZzycnJBAYG\nopQiODgYgJCQEFasWFGp/3PnzpGens7SpUsBMJlM9RrZiYqKYtu2bVX2AapYc+Xl5UV2djYAycnJ\nDBkyBIBWrVrRvHlzzp07B4C/v79l093WrVuTnZ1NYWEh6enpXLp0CTAnZz4+PlVi+O6773j44YcJ\nDAwkNjaWVatW8be//a3O2IUQQgghhLgakkg1MD/s3stfXltDhu8ETBpKPn+L73+MoVc3f0wmE4Bl\nKlx9KaUqfdda06ZNG1588cWr6mfMmDHVFqqwtTX/mtnY2FhirE1F+yuv6dq1K5MmTar12t27d/PI\nI48A5k1cP/7443rHL4QQQgghRH1ZdWqfUupDpVSGUupQDeeVUmqZUipZKRWvlKpfObk/KK01L74R\nSc7gJdi1DUSXXMSm/1ROOgQwY8YMFi9ejLu7O8nJyQCkpqaSlZWF1prY2Fh8fX0t/cTFxQEQExNj\nOV7Bw8OD/Px8UlJSAPPoT3p6+jV9Fj8/P2JiYgDzCFhOTk6tFQe9vb1JTk7mgw8+ICoqiuLiYssI\n1uVcXV05duwYAImJibRs2fKaxi2EEEIIIQRYf0QqAngbWFXD+XsBv/JPP2BF+T9vSSkpKWQ497CM\nIJWciKGR/z1klXYmesc3jB0zksDAQGJiYggODqZDhw6sWbPGUmyid+/eADg4OJCamkp0dDQuLi5M\nnjy50n1sbW2ZMmUK69at49KlSxiNRoYOHUqbNm2u2bMMHjyYyMhI5s2bh8FgIDQ0tNJI1JVcXFwI\nDQ3lX//6F0ajkYSEBEaOHImHh0eldo899hjr1q3DZDJha2vLhAkTrlnMQgghhBBCVLD6PlJKqQ7A\nVq11t2rO/Rv4Vmu9pvx7InCH1vpMbX3+UfeROnfuHIP/voZLQX+tdNyUtJ0PRjswbOgdlmNJSUns\n2LGD559/vko/U6dOZdmyZdc7XCHETUr2kRJCCCF+v5u9ap8ncPKy76fKj92SPDw88LM9jakw13JM\nG0tpc2YLQ++43YqRCSGEEEIIcWux9tS+a0Yp9TTwNJirw/1RffzGLJ74x2KSCppgsrHHk3RWvDYN\ng8FQqV2nTp3o1KlTtX005NGo9evXA+Yy50IIIYQQQljLzZ5InQbaXfa9bfmxKrTW7wLvgnlq3/UP\nzTpcXV357L3FFBQUUFZWhqurq7VDuqHatm1r7RCEEEIIIYS46ROpzcDzSqm1mItMnK9rfdStwtnZ\n2dohWMWAAQOsHYIQQgghhBDWTaSUUmuAOwB3pdQpYA5gB6C1/j8gGvgzkAwUAk9YJ1IhhBBCCCGE\n+JVVEymt9bg6zmvgf25QOKIBWLNmDQDjxtX6qyOEEEIIIcR1dbNP7ROiEm9vb2uHIIQQQgghhCRS\nomEJCQmxdghCCCGEEELc9PtICSGEEEIIIcRNRxIp0aCsXr2a1atXWzsMIYQQQghxi5OpfaJBqWmT\nYSGEEEIIIW4kSaREgxIcHGztEIQQQgghhJCpfUIIIYQQQghxtSSREg3KqlWrWLVqlbXDEOKmMHXq\n1DrbfP3115SUlFyzeyqlnJVSK5RSg65Zp7Xfb6BSao5Sanb5P3vW0X6EUmpY+c+tlFLhSqmXlFIt\nlFIv3oiYhRBC3Bpkap9oUAICAqwdghANytdff02/fv2wt7e/Vl32AVKAvsD316rT6iil3IA/Ay9r\nrS8ppRwAl6voohcQp7WOLv/+6rWOUQghxK1LEinRoPTp08faIQhx00lKSmLLli04Oztz+vRp2rdv\nz5NPPsk333xDXl4eS5YswdnZmenTp5OQkADQSin1EpAJRGCenTATWK61PqeUmgQkaq1/qOZ2wcCn\nwCSllJvWOhdAKTUAuBcoBE4BZVrrNUqpUCBea72vvN0yrfXU8qToOaAxYAA+11r/fMW9XIAioBhA\na11c8bNSqgUwrrxNCfCx1vpsxYVKqW7AUMCklOqitV5Sce/y88OAIMz/Hdyvtd7yG169EEKIW5gk\nUkII8Qdw4sQJ5s6di6urK6+99hrHjx/nzjvv5KuvvmL69Ok4OztTUFBAdHQ0wDmt9ctKqT8Bd2ut\ntyql1gChSqmdgFN1SVT5CFFTrXWqUioWcyLypVKqKXA/sBC4BEwDTtYRcimwQmtdpJRyBmYopeK1\n1vqyNqeAC8ArSqkjmBOe+PJzE4DVWusMpZQ3MB74V8WFWutDSqnvgWKt9Y4rnqMr0BJYVH7of5RS\nflrrY3XELIQQQlhIIiUalIiICABCQ0OtGocQ1qC15rsf/stn//kKVxdzYlTB29sbNzc3ANq2bUt2\ndja+vr6Vrk9JSSE9PR3MI1LhmEeCUsr7PqKU6oN5lGdBDSEEA3HlP8cCE4EvAW/MI1j5AOVJlkcd\nj6OAUUopP0ADrphHly5c9rwmpdQyoD3QBXhYKdUe2AF0BKYopSqaX81/z7qWf14q/+6AObGSREoI\nIUS9SSIlGpRevXpZOwQhrOaFOQvJauqL7+gZFOXn8d3a+9n53Q+0be2Bre2v/zq3sbHBaDRW20fX\nrl0BzmitKyVLypyRtMY8Tc4JyK3m8mCgiVKqb/l3V6VUyzrCNlFe2Kj8HhWB9gOcgYVaa6NS6hXA\n7sqLy0eoUoFUpVQCEIo5ebt05TNcBQV8obW+rmu8hBBC/LFJ1T7RoPTq1UuSKXFLOnToEGdsW9L5\nzgcx2NrS2M0dj659+b/IjVSeDVeZg4MDRUVFgHnUKjk5GcqTGaWUg1KqYuToLuAM8AHwuFLKcHk/\n5e0ctNYvaq3DtNZhwH8wF534BeiklGpcft3lixmzAK/yn3tiHgUDcATyy5OozkDzK2NXSrkqpbwu\nO9QOyNZaFwFZ5SNoKLO2Nb+9Kg4DA8vXaVXc52qKWAghhBAyIiUaloq/ZTcYDHW0FOKP5T9ff0f7\n/vdXPqgUqkkrLl68WON1gwYNYtmyZTRt2pTp06cTGhrKq6++6q6Uml3eZFP59LjbgEXla5aOYa6W\nd3kBhmDgwBXd7wcml6+x2gLMwFxs4vL1Uf8FniufSniY8mIRwB7Ma5PmYB5xOktVBmCMUsoV85qq\nfGB1+bkPgPFKqT+Xt4vFvKaqTlrrBKVUa8zrssBc0OLD8v6FEEKIelG1/U1mQxUUFKRjY2OtHYa4\nDmSNlLhVRX22iW/Ou9GuZ/9Kx/e+N5t1yxZUmtpXF6VUnNY66FrHeFn/A4D2Wus11+seQgghhLXJ\n1D7RoAQGBhIYGGjtMIS44UYO/zOnvllDyaVCy7FzifsJaNf8qpIoIYQQQlwbMiIlhBANRHp6OnNe\nW8Z5owFlKqNXx7a8+Nf/wcbm6v5O7HqPSAkhhBC3AvlrTNGglJaWAmBnV6W4lxB/eG3atOG9pYut\nHYYQQgghkKl9ooFZvXo1q1evrruhEEIIIYQQ15GMSIkGJShIZiMJIYQQQgjrk0RKNCjdunWzdghC\nCCGEEELI1D7RsBQVFVk2FxVCCCGEEMJaJJESDcratWtZu3attcMQQgghhBC3OJnaJxqUfv36WTsE\nIYQQQgghJJESDUuXLl2sHYIQQgghhBAytU80LIWFhRQWFlo7DCGEEEIIcYuTREo0KOvXr2f9+vXW\nDkMIIYQQQtziZGqfaFD69+9v7RCEEEIIIYSQREo0LJ07d7Z2CEIIIYQQQsjUPtGwFBQUUFBQYO0w\nhBBCCCHELU4SKdGgREVFERUVZe0whBBCCCHELU6m9okG5bbbbqvxXHR0NDExMdjY2KCUYsKECXh7\ne9/A6K6NPXv2sH37dkwmEwaDgfbt2zNmzBicnJxqvCYiIoIePXoQGBh4XWKKj49n8+bNaK0xGo3c\neeedDBo0CIDY2Fi2bt0KQNu2bZk0aVKV65955hk8PT0t34ODg7nnnnsqtUlKSmLHjh08//zz1+UZ\nhBBCCCGuJUmkRIPi6+tb7fGUlBQOHjzISy+9hK2tLQUFBZSVld3g6H6/w4cP89VXXzF16lRcXV0x\nmUzs3r2b/Pz8WhOp68loNPLJJ58wc+ZM3NzcKCsrIzs7G4CMjAy++OILXnjhBZycnMjPz6+2D3t7\ne8LDw29k2EIIIYQQ15UkUqJBOX/+PABNmzatctzZ2RlbW/OvtLOzs+Xc1q1biY+Pp7S0lI4dO/Lo\no4+ilGLJkiW0a9eO5ORkiouLeeKJJ/jiiy84ffo0QUFBjBw5kuLiYt59913y8vIwmUzcd999BAUF\nERYWRlhYGM7OzqSlpREVFcX06dPZsmULOTk5ZGVlkZOTw9ChQ7nzzjsB2LZtG3v27MHZ2ZlmzZrh\n5eXFsGHDKj1HdHQ0Y8aMwdXVFQAbGxsGDhxY57Ncrro2WmsWL17MmDFj6NSpE5999hlKKfz9/dm5\ncyfPPfccAEeOHOHbb7/l2WeftfRXVFSEyWSyvFNbW1s8PDwA+OGHH7jjjjssSZ6Li8tV/XkePnyY\ndevWYW9vXylJzs/P54MPPiAvLw8fHx+OHDnCrFmzcHZ2Zs+ePezcuZOysjK8vb0ZP348NjYyS1kI\nIYQQN5YkUqJB+eyzzwAIDQ2tdLxr165s3bqV8PBwunTpQlBQEJ06dQJgyJAhDB8+HIAPP/yQgwcP\n0qNHD8CcFISFhfH111/zzjvvMGvWLBo3bsysWbO46667SExMxNXVlb/85S8AXLp0qc4Yz549y/Tp\n0ykqKmL27NkMHjyYkydPsm/fPsLDwzEajSxcuBAvL68q16anp1d7vEJtz1JXm9DQUP79738zduxY\nDh8+zIwZMzAYDERGRpKfn4+Liwu7du2qlLgBNG7cmB49ejBz5kz8/f3p3r07ffv2RSnFuXPnAHjt\ntdcwmUyMGDGCgICAKnGXlJSwYMECy/d7772Xnj178vHHHzNt2jRatGjBe++9Zzm/detWOnfuzL33\n3svhw4fZtWsXAGfOnCE2NpYXXnjBEntMTAwhISG1/pkIIYQQQlxrkkiJBqViXQ6YK/itfPf/SE85\nhlur1kyZ8hx5eXkkJiby3nvvMWrUKAYMGEBiYiLbt2+npKSEwsJC2rRpY0k+evbsCYCnpydt2rSx\njHS1aNGCnJwcPD09iYqKYuPGjXTv3h0/P786Y+zevTu2trY4Ozvj4uLChQsXOH78OL169cLOzg47\nO7sqyU91Tp8+zYcffkhRURGjRo0iKCio1mepUFObNm3aEBISwttvv82MGTMso3chISHs2bOHAQMG\nkJKSwpNPPlkllokTJ3L69GmOHDnCl19+yZEjRwgNDcVkMpGRkcH06dPJzc3l9ddfZ/bs2VWmIVY3\nte/kyZO4u7vTsmVLAPr168cPP/wAQHJysmVULCAgwNLf0aNHSUtL45VXXgGgtLT0qkfBhBBCCCGu\nBUmkRIPi4+MDwIULF5j+xKNM7ulFhwB3zp3PZfYzoYQtXcGIESPw9PRk9+7dBAcHExkZyaxZs3Bz\nc2PLli2UlpZa+qtIJmxsbCw/AyilMJlMeHh4MGvWLA4dOsSmTZvw9/dn+PDh2NjYoLUGqNTf5X1W\n9Gsymer9fG3atOHEiRN07twZT09PwsPDWbNmDSUlJZSWltb6LBWx1Nbm9OnTODk5ceHCBcuxAQMG\nsHz5cuzs7OjTp0+N0+Q8PT3x9PQkJCSEsLAwQkNDcXNzw9vbG4PBgLu7Ox4eHmRkZNChQ4d6P/PV\n6t+/P6NGjbpu/QshhBBC1IcsLBANSm5uLrm5uXywfBnPBXagQwvzWiKlYFKgN//3+quAebSjWbNm\nliTC2dmZ4uJi9u3bd1X3y8vLw97enn79+jFs2DBOnDgBQPPmzUlLSwOoV58dO3bk559/prS0lOLi\nYuLj46ttd++99xIVFUVubq7lWMUz1OdZamuzf/9+Ll68yN///nfWrl1LYWEhAK6urri6uhIdHc2A\nAQOq9FlcXExSUpLl+8mTJ2nevDkAvXr1IjExETCPEJ47d44WLVrU+T4AWrVqRVZWFpmZmQDs3bvX\ncs7X15e4uDgAEhISLLH6+/uzb98+S1GLixcvWgpfm1UwHAAAIABJREFUCCGEEELcSDIiJRqUTZs2\nAZB54hc8e7SyHC8uNbIp7gjfp2Yyf/58WrZsyYQJE3BycuL2229n7ty5NG3a9KpHSk6fPs2GDRtQ\nSmEwGHj00UcBGD58OKtWrWLz5s2WtVi16dChAz179mT+/Pk0adIET09PHB0dq7Tr1q0b+fn5LFu2\nDK01jo6OeHp6Wqa31fUsNbUpKChg48aNTJs2DTc3N4YMGcK6det44oknAOjbty/5+fm0bt26Sp9a\na7Zv384nn3yCnZ0dDg4OljVqXbt2JSEhgblz56KU4sEHH6Rx48ZV+rhyjVRAQACjR4/mscce4623\n3sLe3h4/Pz+Kioos7/f999/np59+wsfHhyZNmtCoUSOcnZ0ZOXIkS5cuRWuNwWBg3LhxlsROCCGE\nEOJGURXTk/5IgoKCdGxsrLXDENdBamoqACuXv8ljbQw4N3KwnDOZNEsOnOaf7620UnS1Ky4uxsHB\ngZKSEl5//XUmTJhQa2GJG2nNmjV4eXlVKTRhLWVlZdjY2GBjY0NKSgqrV6+W8unXkFIqTmsdZO04\nhBBCiIZMRqREg1IxwjLxuam89cLz/OOOHhjK1yu9v+cID06Zbt0Aa/Hxxx9z5swZSktL6d+//02T\nRC1cuBAHBwceeugha4dikZOTw7vvvmsZdXrsscesHZIQQgghRCUyIiUalKysLADc3d05FP8zEW/9\nC9uSIkps7Bj1+JPcfsedVo5QiJufjEgJIYQQv5+MSIkGZevWrYB5H6luPXry+k06jU8IIYQQQvyx\nWbVqn1LqHqVUolIqWSk1o5rzoUqpTKXUgfLPJGvEKW4eQ4cOZejQodYOQwghhBBC3OKsNiKllDIA\ny4G7gVPAXqXUZq11whVN12mtn7/hAYqbUrt27awdghBCCCGEEFYdkeoLJGutU7TWJcBaYKQV4xEN\nQEZGBhkZGdYOQwghhBBC3OKsmUh5Aicv+36q/NiVHlRKxSulopRSNQ5HKKWeVkrFKqViKzb4FH88\n0dHRREdHWzsMIYQQQghxi7vZi01sAdZorYuVUlOAlUC1Zdm01u8C74K5at+NC/HWER0dTUxMDDY2\nNiilmDBhAt7e3jc0hrvvvvt397Fnzx62b9+OyWTCYDDQvn17xowZg5OTU43XRERE0KNHDwIDA3/3\n/auzZMkSiouLCQsLAyAtLY2oqCimT6+5nPvJkyc5f/483bp1u6p7bdiwgYMHD6K1pkuXLjzyyCMo\npX5X/EIIIYQQtxprJlKngctHmNqWH7PQWmdf9vV94LUbEJeoRkpKCgcPHuSll17C1taWgoICysrK\nbngcnp7VDVrW3+HDh/nqq6+YOnUqrq6umEwmdu/eTX5+fq2J1I1w4cIFDh06VO/E6OTJk6SlpV1V\nInX8+HGOHz/O7NmzAfjnP//JsWPH6NSp02+KWQghhBDiVmXNRGov4KeU8sacQI0Fxl/eQCnVWmt9\npvzr/cCRGxuiqHD+/HmcnZ2xtTX/yjg7O1vObd26lfj4eEpLS+nYsSOPPvooSimWLFlCu3btSE5O\npri4mCeeeIIvvviC06dPExQUxMiRIykuLubdd98lLy8Pk8nEfffdR1BQEGFhYYSFheHs7FxpdGbV\nqlXk5eVRWlpKTk4OQ4cO5c47zYOU27ZtY8+ePTg7O9OsWTO8vLwYNmxYpeeIjo5mzJgxuLq6AmBj\nY8PAgQPrfJbLVddGa83ixYsZM2YMnTp14rPPPkMphb+/Pzt37uS5554D4MiRI3z77bc8++yzVd7x\nn/70J6Kjo6skRqWlpURGRpKamorBYOChhx6iY8eObN68mdLSUpKTk7n33nvp3r07a9euJT09HaPR\nyIgRI+jZs2elvpRSlJaWYjQa0VpjNBpxcXG5qt8FIYQQQghhxURKa12mlHoe2A4YgA+11oeVUvOB\nWK31ZmCqUup+oAzIAUKtFe+trmvXrmzdupXw8HC6dOlCUFCQZRRjyJAhDB8+HIAPP/yQgwcP0qNH\nDwBsbW0JCwvj66+/5p133mHWrFk0btyYWbNmcdddd5GYmIirqyt/+ctfALh06VKtcezbt4/Tp0+z\nZs0aioqKmD17NoMHD+bkyZPs27eP8PBwjEYjCxcuxMvLq8r16enp1R6vUNuz1NUmNDSUf//734wd\nO5bDhw8zY8YMDAYDkZGR5Ofn4+Liwq5duyolbpfz8fFh//79JCYm0qhRI8vxb7/9FoA5c+Zw9uxZ\nli5dyoIFC7j//vtJS0tj3LhxAHz++ef4+/vz+OOPU1hYyKJFi/D398fBwaHSPTp37sw//vEPtNYM\nGTKE1q1b1/rOhRBCCCFEVVZdI6W1jgairzg2+7KfZwIzb3Rc4ldZWVms/L93yDl3Bv/efejdN4Rf\nfvmF9957j1GjRjFgwAASExPZvn07JSUlFBYW0qZNG0vyUTEi4unpSZs2bWjatCkALVq0ICcnB09P\nT6Kioti4cSPdu3fHz8+v1ngCAwMJDg7G1tYWZ2dnXFxcuHDhAsePH6dXr17Y2dlhZ2dXJfmpzunT\np/nwww8pKipi1KhRBAUF1fosFWpq06ZNG0JCQnj77beZMWOGZfQuJCSEPXv2MGDAAFJSUnjyySdr\njOnPf/4z0dHRjB492nIsOTmZIUOGANCqVSuaN2/OuXPnqlybkJDAzz//zI4dOwAso3aXJ0oZGRmc\nOXOGV199FYClS5dy7NixOt+7EEIIIYSo7GYvNiGs6FhSIm/M+BvP9vXDo2sz4o/vYflX23kzYjWe\nnp7s3r2b4OBgIiMjmTVrFm5ubmzZsoXS0lJLHxXJhI2NjeVnME8xM5lMeHh4MGvWLA4dOsSmTZvw\n9/dn+PDh2NjYoLW5Zsjl/bm5uVUaYbGxscFkMtX7mdq0acOJEyfo3Lkznp6ehIeHs2bNGkpKSixT\n6Gp6lopYamtz+vRpnJycuHDhguXYgAEDWL58OXZ2dvTp0wcbm5qLZfr7+7Np0yZSUlLq/UwVtNY8\n88wzeHh41NjmwIED+Pj4WN5hQEAAKSkpkkgJIYQQQlwla5Y/Fze5d19fzKw7e+DR1JmMCwW0btqY\nMd6urPtkFSdPnqRZs2aWJMLZ2Zni4mL27dt3VffIy8vD3t6efv36MWzYME6cOAFA8+bNSUtLA6jU\nZ3Z2NllZWVX66dixIz///DOlpaUUFxcTHx9f7f3uvfdeoqKiyM3NtRyreIb6PEttbfbv38/Fixf5\n+9//ztq1ayksLATA1dUVV1dXoqOjGTBgQJ3v5L777mP79u2W735+fsTExABw7tw5cnJyaNWqFY0a\nNaKoqMjSLiAggJ07d1oS0JMnT3KlZs2akZSUhMlkwmg0cuzYMZnaJ4QQQgjxG8iIlKiRoegidgYD\nAMWlRj6PS6CopJQ9Xx1g/BNPMWHCBJycnLj99tuZO3cuTZs2pUOHDld1j9OnT7NhwwaUUhgMBh59\n9FEAhg8fzqpVq9i8eXOlinIHDhzA1taW8eMr1SWhQ4cO9OzZk/nz59OkSRM8PT1xdHSscr9u3bqR\nn5/PsmXL0Frj6OiIp6cnAQEB9XqWmtoUFBSwceNGpk2bhpubG0OGDGHdunU88cQTAPTt25f8/Px6\nJS3dunWrVABi8ODBREZGMm/ePAwGA6Ghodja2tK5c2e++OILFixYwL333st9993HunXrmD9/Plpr\n3N3def755yv1HRgYyNGjR5k3bx5KKQICAuo1DVIIIYQQQlSmKv72+o8kKChIx8bGWjuMBm/a42OZ\nEdKx0rHM/Itsu+TCC3MWWCWmjIwMAFq2bFnlXHFxMQ4ODpSUlPD6668zYcKEWgtL3Ehr1qzBy8ur\nxkITQtxISqk4rXWQteMQQgghGjIZkRI1GjJyDBu/3MDoHj4AGE0m/m9PEi+985HVYqougarw8ccf\nc+bMGUpLS+nfv/9Nk0QtXLgQBwcHHnroIWuHIoQQQgghrhEZkRK12rzhU77bvBFbXYbRwYmn/voC\nXQICrBZPxbqfdu3a1dFSCFETGZESQgghfj8ZkRK1uv/Bh7j/wZtnJOXrr78GIDQ01LqBNAAXLlxg\n/fr1/PLLLzg5OWFra8uwYcPo3bs3aWlp7N69m7Fjx97wuFJSUli3bh1lZWWUlZURFBTEiBEjOHv2\nLCtXruTEiROMHDmy0mbKhw8fZt26dZhMJm677TbuueceAJYsWcKYMWNo3779DX8OIYQQQtzaJJES\nDUrFRriidlprVqxYQf/+/Zk0aRJgrnhYUc2wffv2Vks+IiIiePrpp2nbti0mk8myJ1bjxo155JFH\nOHDgQKX2JpOJyMhI/va3v+Hq6sqiRYvo2bOnVBsUQgghhFVJIiUaFHd3d2uH0CAkJiZiMBgYNGiQ\n5Vjz5s0tG/smJSWxY8cOnn/+eS5evMjKlSvJysrC3t6eCRMm0LZtW7Zs2UJOTg5ZWVnk5OQwdOhQ\n7rzzTgD27NnDzp07KSsrw9vbm/Hjx2NjY0NCQoJlb60WLVoQGhpaad8vgPz8fMvGzDY2NpaEyMXF\nBRcXFw4ePFipfWpqKi1btrT82QcFBXHgwAFJpIQQQghhVbKPlGhQUlNTSU1NtXYYN7WEhAS++OIL\nWrVqVa/2W7ZswcvLi9mzZ/PAAw/w0Ue/FhM5e/Ys//u//8vMmTPZunUrRqORM2fOEBsbywsvvEB4\neDg2NjbExMRQUFBAdHQ0f/3rX3nppZfo0KEDX375ZZX7DR06lNmzZ7NixQq+//77KpseXykvLw83\nNzfLdzc3N/Ly8ur5NoQQQgghrg8ZkRINyrfffgvIGqnqZGVlsWD0aILi4ynJzyfKw4MmRiP3P/44\na9asITk5GYPBQFhYWKXrkpOTeeaZZwDw9/fn4sWLlo1+u3fvjq2tLc7Ozri4uHDhwgWOHj1KWloa\nr7zyCmDepNjFxYWUlBTS09N57bXXADAajfj4+FSJc/jw4fTr14+EhARiYmLYu3cv06dPv56vRggh\nhBDimpNESjQoI0eOtHYIN63XQ0N5+YcfcAGOAjZnznAgPJx+99zDuHHjKCgosCQ/9WVr++u/Imxs\nbDCZTAD079+fUaNGVWobHx9P165dLWuyatOiRQsGDx7M7bffzvTp07l48SKNGzeutq2rqyu5ubmW\n77m5ubi6ul7VcwghhBBCXGsytU80KG5ubpWmeQmz0tJSGiUk4FL+vTNQCvifPMnn774LQElJSbXX\n+vr6smfPHsC8dsrZ2ZlGjRrVeC9/f3/27dtHfn4+ABcvXiQ7Oxtvb2+Sk5MtmyYXFxdbCklc7uDB\ng1Rsu3Du3DmUUjg6OtZ4vw4dOpCRkUFWVhZlZWXExsbSs2fP2l6HEEIIIcR1JyNSokFJSUkBqHbK\n2K3u8h3hFPAc8A7w/VdfkWNri729PaNHj65y3YgRI1i5ciXz58/H3t6+zmmTrVu3ZuTIkSxduhSt\nNQaDgXHjxuHj40NoaCjvv/8+ZWVlgHkE0cPDo9L1P/30E+vXr8fe3h6DwcBTTz2FjY0NFy5cYOHC\nhRQVFaGU4uuvv2bevHk0atSIcePG8eabb2IymRg4cCBt2rSx9PfWW29hMBgA8+/FlClTfsPbE0II\nIYS4OrIhr7gpHDhwgBUrVjBv3rxaiyREREQANa+RioiIoEePHgQGBtbrvt9//z329vaEhIQQERFB\nUlISjo6OKKUYP348Pj4+N3yvovfee4+zZ88CcOnSJRwdHQkPD6/zupkjR/Li5s1cPultjpcXz8fG\n0qJFi+sUrWiIZENeIYQQ4veTESlxU9i7dy++vr7s3buXESNG1NjuynU5v9fl5cEBxowZQ2BgIAkJ\nCXzyySfMnj37mt6vPiZPnmz5+dNPP6112tvl/vHRR8x78EEC4uPxKCjgBx8f7ggPlyRKCCGEEOI6\nkERKWF1xcTHJyclMmzaN5cuXWxKppKQkNm/ejIODA5mZmXTu3Jnx48ejlGLq1KncdtttJCQk0LRp\nUyZNmoSLi0ulftPS0vj0008pLi7G2dmZ0NBQy/5FFbZs2YKDgwPDhg2rdNzPz8+y1gcgLi6OyMhI\nCgsLmThxIn5+fpSWlhIZGUlqaioGg4GHHnqIzp078+OPPxIfH09JSQmZmZn06tWLBx98EKBe+yxV\n0FoTFxfHtGnT6vUemzVrxhvffENycjLZ2dm83Ls39vb29bpWCCGEEEJcHSk2IazuwIEDBAQE4OHh\nQePGjUlLS7Oc++WXXxg3bhxz584lMzOTzZs3k5ycTHFxMe3bt2fu3Ln4+fmxdevWSn0ajUbWrl3L\nlClTmDVrFgMHDuTzzz+vd0zx8fF4enpW6m/mzJk88sgjlntVlGKfM2cOkyZN4qOPPrLsiXTy5Ekm\nT57M7NmziY2NJTc3t977LFVITk6mSZMmtGzZst5xg7l4RL9+/SSJEkIIIYS4jmRESljFf776njc/\n2UaBqRH5ybtZMPOvAAQHB7N3717LeiRvb2/c3d0t51avXk1ubi5KKYKDgwEICQlhxYoVlfo/d+4c\n6enpLF26FACTyVRlNKo6UVFRbNu2DRcXFx5//HHL8Yo1V15eXmRnZwPmRGfIkCEAtGrViubNm1uq\n1Pn7+1um5LVu3Zrs7GwKCwvrtc9ShZiYGMszCiGEEEKIm4skUuKG2/71D/zvyp8p6rMYXVJIXso/\neGr6PMbu+I9lL6GKqXBXCgkJYfTo0fz000+VjiulKn3XWtOmTRtefPHFq4qtYo3UlSr2U7p8L6Xa\n1LT/Un33WTKZTOzfv59Zs2bVN3QhhBBCCHEDydQ+ccO9+ck2ivo8j1KKklP7cPAegEPof9BN2rJ4\n8WLc3d1JTk4GIDU1laysLLTWxMbG0q1bN5ydnS3rh8A8cuPr61vpHh4eHuTn51vKpRuNRtLT06/p\nc/j5+RETEwOYR8BycnJqrThY332WAI4cOUKrVq1kzywhhBBCiJuUjEiJG67A5GAZQSo5EUMj/3sw\nNG7G2ZOFgHkaXcW0tg4dOrBmzRpLsQknJycSExNxcHAgNTWV6OhoXFxcKlW6A/OI0JQpU1i3bh2X\nLl3CaDQydOjQSvsP/V6DBw8mMjKSefPmYTAYCA0NrTQSdSUXF5d67bME5iqGffv2vWaxCiGEEEKI\na0v2kRI33EPPzGKP32yU7a/V6sqyjvOM6w7Cpz9rOZaUlMSOHTt4/vnnLccq9pHat28fy5Ytu2Ex\nC/FHIvtICSGEEL+fTO0TN9wrf38Ktx9mYsw3T3EryzyGd8ISpj0zsc5rH374YR5++OHrHaIQQggh\nhBC1khEpYRXnzp3jtRWfcDLjAr382vC/T0+wFJoQQlxfMiIlhBBC/H6SSIkG5ciRIwB06dLFypEI\n0XBJIiWEEEL8flJsQjQoe/bsASSREkIIIYQQ1iWJlGhQxo4da+0QhBBCCCGEkERKNCyNGjWydghC\nCCGEEEJI1T7RsBw6dIhDhw5ZOwwhhBBCCHGLu+oRKaVUM611zvUIRoi6VBQR6datm5UjEUIIIYQQ\nt7JaEyml1EDgfcAEPAm8DPgopeyBh7XWu69/iEL86tFHH7V2CEIIIYQQQtQ5IvUG8DDgDGwDHtBa\n/1cpFQi8BQy8zvEJUYmdnZ21QxBCCCGEEKLORMpOa30QQCmVqbX+L4DWep9SyvG6RyfEFeLj4wHo\n0aOHlSMRQgghhBC3sroSqcuLUcy84pz9NY5FiDrt27cPkERKCCGEEEJYV12JVLhSyklrXai1/rzi\noFKqI7Dq+oYmrjR16lSWLVtm+f7jjz+SlpbGuHHjbmgcq1at4u6776Z169aVji9ZsoTMzEwWLVqE\nUgqAd955h6NHj1aK+0qFhYXExMRwxx131Hnvxx57zPLz559/zk8//URhYWGl/svKyvjoo49IS0uj\ncePGPP300zRv3rxSP9nZ2cyZMwcPDw+MRiN+fn6MHz/eErcQQgghhBC1qbX8udZ6s9a6sJpTp4Ff\nrk9I4mY3ceLEKklUBScnJ44fPw6YE6Tz58/X2d+lS5f47rvv6nVvg8GAwWAAzKNSM2deOVAK//3v\nf3FycuLll1/mrrvuYuPGjdX21aJFC8LDw5k9ezZnzpzhwIEDlc6bTKZ6xSSEEEIIIW499S5/rpQy\nAH8CxgHDgB+AT69TXOIqRURE0KNHDwIDA4FfR6+Ki4t55513uHjxIkajkQceeICePXuyY8cObG1t\nufPOO1m/fj2nTp1i2rRpHD16lF27dvHUU0+RkJDAli1bKC0tpUWLFoSGhuLg4MCSJUsYM2YM7du3\nrxJHcHAwe/fuxdfXl/379xMYGMi2bdsAaoxl48aNZGZmsmDBArp27cqDDz7Ijh07iI2NpaysjN69\nezNixAgAS7LTq1cvfHx8qn0XP//8s6V9nz59WLNmDVrrGkebbGxs8PHxISMjg6SkJDZt2oSTkxNn\nz55lwYIFfPXVV+zatQuA2267jaFDh/6OPykhhBBCCPFHUGcipZQaDIwH/gzEYK7U513DSJW4xrTW\nnDp1CgcHB0pKSliwYIHl3MWLF+nZs2et19vZ2fHss8/SqFEjCgoKWLx4MT169MDX15cvv/ySO++8\nk7S0NMrKyjAajSQnJ+Pn50dBQQHR0dH89a9/xcHBge3bt/Pll18yfPjwWu/n7+/Pxx9/jMlkYu/e\nvTz22GOWRKqmWEaPHk16ejrh4eEAJCQkkJGRYRltWr58OceOHcPPz69SIlWTvLw83NzcAHOS5Ojo\nyMWLF3F2dq62fUlJCUePHuX+++8H4MSJE8yZMwd3d3fS0tLYtWsXM2bMAGDRokV06tSJdu3a1foe\nhBBCCCHEH1td+0idAk4AK4C/a63zlVK/SBJ1Yxw4eIBpb04jxzMHm2Ib8n7MY+83ey3rfSrWSNVG\na81nn33GsWPHUEqRl5dHfn4+7du358SJExQVFWFra4uXlxdpaWkcO3aMsWPHkpKSQnp6Oq+99hoA\nRqOxxhGgy9nY2ODr68vevXspLS2ttDappliulJCQQEJCAi+//DJgHsnKyMjAz8+P0NDQ+r6+OlWM\ngiml6NmzJ926dSMpKYkOHTrg7u4OQHJyMr1798bBwQGA3r17c+zYMUmkhBBCCCFucXWNSEUBDwCP\nAEal1CZAX/eoBKWlpTyz5BlKni/BYGNeE5R/LJ8nZz/JpuWbqrS3sbGxrOnRWlNWVgbAnj17KCgo\nYNasWRgMBsLCwigtLcVgMODu7s6PP/5Ix44dadu2LYmJiWRmZtKqVSsyMzPp2rUrkyZNuurYg4OD\nWbFihWV6XYXLYzl48CBPPPEEp06dwsPDo1I7rTX33HMPgwYNqvNeERERZGRkVDrm6upKbm4ubm5u\nmEwmLl26ROPGjQH4/vvvsbe3x8/Pj1OnTtGkSRMcHR35+eefCQgIAMxrrGqaung9vPfee5w9exYw\nrxdzdHS0jM5VqKk4Rk5ODm+//TZz5sy5IbEKIYQQQgizuopN/BXwBpYAdwCJQAul1MNKqernSYlr\n4j9f/YcLt11A2fy6rkfZKU66nCQzM7NKe3d3d06cOAGY1wgZjUbA/D/mLi4uGAwGEhMTyc7Otlzj\n6+vLjh078PPzw9fXl++++4527dqhlMLb25vk5GRLklJcXMy5c+fqFbuvry/33HMPwcHBlY5fHsuW\nLVtwcHBg//79NGrUiKKiIku7gIAAdu3aRXFxMUClkau4uDji4uJqvX/Pnj3ZvXu3pb2/v79lfdSg\nQYMICQmxtB0zZgzh4eGMHj2aTz75pEpfFdMJS0pKKC4u5sCBA/j5+dXrPdTX5MmTCQ8PJzw8nN69\ne9O7d+9q29VVHEMIIYQQQtw4da6R0lpr4BvgG6WUHb8WnHgHcL++4d26Ll66iG5UdfDP5GCqlHRU\nuO2223jnnXdYsGABAQEBlqlo/fr1Y/ny5cybN48OHTrQqlUryzV+fn5ER0fj4+ODg4MDdnZ2liTB\nxcWF0NBQ3n//fcvo1siRI6uMHlVHKcWwYcOqHK+IJTw8nH379jFw4ED279/Po48+SseOHZk6dSp5\neXkEBweTkJDA+PHj6d69O46OjiQnJ3P33XezZs0aHB0d+fe//82OHTtYv349Tk5OvPjii3Tq1Inc\n3FwKCws5dOgQBw4coFmzZkyePNkSQ0UC16dPn0qx+fn5VRrZiouLIzIyksLCQjp27MiiRYswGo0U\nFxfz4YcfYjAYeOihh+jcuTM//vgj8fHxlJSUkJmZSa9evXjwwQcBaizYUR2tNXFxcUybNq3W93t5\ncQwvLy/L8SvL4b/99tsMGzYMX19fVq1aZZkGOnDgQO66665a7yGEEEIIIeqgta7xA3jVcs6xtmvr\n8wHuwTzKlQzMqOa8A7Cu/PweoEN9+u3Tp49u6C5cuKD7PNtHB8YFWj69Y3rrIU8N0SaTydrh/S4/\n/fSTXrlypdZa68WLF+vU1FSttdaJiYn6ueee05mZmdpoNOo33nhDx8XFaa21fvrpp/VPP/2ktdZ6\ny5YtOjIyUmut9UcffaTj4uJ0WVmZXrx4sb5w4YLWWuu9e/fqiIiIKvfevHmz3r59e6VrtdY6NjZW\nv/LKK1prrV9//XW9fv16rbXWBw8e1P/617+01lrv2LHD0ueZM2f0iy++qEtKSvSuXbt0WFiYLiws\n1CUlJXrGjBk6JydH5+fn63/+85+6qKhIa631F198obds2VLje0lKStILFy6s9lxWVpaeO3eu1lrr\n4uJivXDhQn3w4MFKx3ft2mV5L1pr/dZbb+nExESdmpqq33jjDcvxixcv1hiDuDUAsfp3/vtbPvKR\nj3zkI59b/VPXiNTnQCCAUmqD1vrByxKwS78ngSsvp74cuBs4BexVSm3WWidc1uwpIFdr7auUGgu8\ninm91h+ei4sL04ZN443336BgYAE2l2xosqsJ/5r2rwa3aeyx5BT+sfhdThfa46hKaGFM5+U55op8\nFeXSK9YjeXt7Wwo9BAcHk5ycTGBgIEopy1SvSddtAAAgAElEQVTBkJAQVqxYUeke586dIz09naVL\nlwLmPaCaNm1aZ2xRUVFs27YNFxcXHn/8ccvxijLyXl5elumQycnJDBkyBIBWrVrRvHlzy3RHf39/\nHB0dAWjdujXZ2dkUFhZeVcGOmJiYKtMhL1ddcYzLp2rWpEWLFmRmZrJ27Vq6d+9O165d67xGCCGE\nEELUrtY1UsDl/8ded8m2q9MXSNZap2itS4C1wMgr2owEVpb/HAUMVfXIIrKzsy3rR4xGIxEREcTH\nxwPmIg4REREcOnQIgKKiIiIiIjhy5Ahg3kQ2IiKCxMREAAoKCoiIiCA5ORmA8+fPExERQUpKCgC5\nublERESQmpoKQFZWFhEREfw/e3ceV1W1/3/8tQ4gguKEyqA5Jc6ZA2YO2aCZlWaZs92itGww85c3\nLZyz7N6+Wea1rG4W6nXIa5aaZqY5ZI6YhKaCpOCAI+IECsjZvz+Qc0UGAcED8n4+Hj08e+211/rs\nzbn3wYc17EOHDgFw4sQJQkJCOHLkCADHjh0jJCTEsbnAkSNHMmyYcOjQIUJCQjh16hT9H+/PzCEz\neTb2WcZXGs/6L9ZTrkw5QkJCHC+6jYqKIiQkhAsXLgAQERFBSEgIiYlpGyvu2bOHkJAQx3TAXbt2\nERISQkpKCgDh4eGEhIQ41lSFhYUREhLieJbbt29n1qxZjuNt27YxZ84cx/HmzZuZN2+e43jjxo0s\nWLDAcbxq1Sren/YlvzeayInWb1O2wX38uS+GIcPeIDg4mH//+9+O9zwB7Nu3j6VLlzqu/+OPPxzb\npwPMnDmT+fPnO5LJP/74g02bNmFZFv7+/jRr1ow2bdowbtw4hg0bxuLFi1mzZk2G+NK/C5C2McX9\n99/PsGHD8Pf3Z8GCBURHR+PqmvY3hm+//dbxs4S0qYHbtm1zHC9cuJC9e/c66oeEhBAbG4vdbic1\nNZX4+Hi6d+/OmDFjGDVqFHa7Pcvvnt1uZ+vWrURGRmb73fPy8uK2226jf//+dOvWjfj4eObNm8eZ\nM2cAOH/+PGvXrnXEe/r0aRYtWkR8fDxjx46lUqVK/POf/+Rf//oXkPN3DyA6OpqQkBDi4+MB2L9/\nf7H67m3YsIGFCxc6jtetW5fh5cxr1qxh8eL/bdyyatWqDN+9lStXZvjurVixghUrVjiOly1bxsqV\nKx3HS5cuZdWqVY7ja797ixYtyvDi6YULF7JhwwbH8YIFC9i4caPjeN68eWzevNlxPGfOnAzfvVmz\nZmVYLxgSEpLr/98TERGRG3e9RMrK5nNBqAYcuur48JWyLOtYlnUZOAt4kwVjzAvGmFBjTGj6L2q3\nAk9PT6pWqUqn+zvh5ubm7HDybPP2cJLK18O4pMV+9sg+vG9vxiXvJkyaNIkXXniBcuXKOZKFY8eO\nce7cOSzLIjQ0FH9/f+B/64fi4+MJDw+nbt26Gfrx8fHh/PnzjgQ1NTWV2NjYAr2XgIAA/vrrLyBt\nBOz06dM5jnrVrl2bEydOOEaNkpKSHEnItfbs2YOPj49jd8H8qFixIqdPn8ayLOLj4x0JVUJCApZl\n0bRpU5o3b87hw4fz3YeIiIiIpDHpIwFZnjQmFUggbWTKA0h/f5QhbR+Kcvnu2JieQBfLsgZdOf4b\n0NqyrCFX1dl1pc7hK8d/XalzKqe2AwMDrdDQ0PyGJgVo4P8bz881xmJsaTn7uTWTKd2gCz4HviHs\nm7cB+OWXXzh69CitWrViyZIluLu7c/LkSerXr0///v0xxjB06FDuuecedu/ejZeXF88//zxeXl6E\nhITQtGlTWrRowaFDh/jmm2+4ePEiqampdOzYkXvuuSdDPOmbTXTu3DnDtVebPHmyY/vzCxcuMGnS\nJCZNmkRKSgpz584lOjo602YTWW3yUK9ePfbu3cuiRYsybNiR1UuUQ0JCqFOnTrZbvsfFxWW5zfnV\n5ZZl8dVXXxETE4Ofnx+JiYl069YNT09PQkJCHKN+TzzxBE2aNMnrj1JuIcaY7ZZlBTo7DhERkeIs\nx0SqUDs2pg0w3rKsh64cvwVgWdZ7V9X56UqdTcYYV+AYUMW6TtBKpIqOH35cxSvLLkNAF0eZZbfT\nKOxNVsx8P0PdyMhIVq5cyZAhQ65thqFDhzJ16tRCj1ekJFAiJSIicuOuN7WvMG0DAowxtY0xpYC+\nwJJr6iwB0ncA6An8cr0kSoqWR7t0JPDSaux//YJlWaSeO0b5X9/kndeeyld7mzdvzrBuRERERETE\nGZw2IgVgjHkEmAK4AF9ZlvWuMeZt0rbmXWKMKQ3MBpoDp4G+lmXtv167GpEqWux2O4uWrmDJ6i34\nV63I6y/0p2rVqvlqK31zgfRpdCKSdxqREhERuXFOTaQKixIpEZHsKZESERG5cc6c2iciIiIiIlIs\nKZGSYmXjxo0Z3rUjIiIiIuIMrs4OQCQv9A4kERERESkKlEhJsdK7d29nhyAiIiIioql9IiIiIiIi\neaVESoqVDRs2sGHDBmeHISIiIiIlnKb2SbFy7NgxZ4cgIiIiIqJESoqXnj17OjsEERERERFN7RMR\nEREREckrJVJSrKxbt45169Y5OwwRERERKeE0tU+Klbi4OGeHICIiIiKiREqKlx49ejg7BBERERER\nTe0TERERERHJKyVSUqysWbOGNWvWODsMERERESnhNLVPipVz5845OwQRERERESVSUrx0797d2SGI\niIiIiGhqn4iIiIiISF4pkZJiZdWqVaxatcrZYYiIiIhICaepfVKsXLx40dkhiIiIiIgokZLipVu3\nbs4OQUREREREU/tERERERETySiNSWTh37hwLFizgwIEDeHp64urqSufOnWnevHmB9hMcHExwcDBl\ny5bNVf3Jkydz9uxZ3NzccHd355lnnsHHx4dZs2bx4IMP4ufnVyAxJCcn8/nnn3Py5ElsNhtNmzal\nR48eeW67MKxcuRKAzp07OzkSERERESnJlEhdw7Ispk+fTps2bRg0aBAAcXFxhIeHOzmyNAMHDqRm\nzZr8+uuvLFy4kFdeeYWnn366wPvp3Lkz9evX5/Lly3z00Ufs2rWLJk2aFHg/eZWSkuLsEERERERE\nlEhdKyIiAhcXFzp06OAo8/b25v777wfSfpGfO3cu0dHRuLi40KtXL+rXr59teXJyMiEhIcTGxuLj\n48OZM2fo378/NWvWzNDvli1b+OWXX7h8+TK1a9emf//+2GzZz7wMCAhg9erVQNpIVc+ePSlbtixT\npkxh5MiRlClThg8++IBHH32URo0a5an9UqVKUb9+fQBcXV2pUaMG8fHxN/RcC8qjjz7q7BBERERE\nRLRG6lqxsbHUqFEj2/Nr164FYNy4cQwaNIivv/6alJSUHMs9PT0ZP3483bt35+DBg5naPHr0KKGh\noYwYMYIxY8Zgs9nYunVrjnGGh4dTrVq1DGXe3t489NBDzJkzh59//hk/Pz8aNWqUr/bTJSYmEh4e\nTsOGDXNVX0RERESkJNCIFJCamsrEDz9n3c4jxB2N4bZy8Nhjj1G6dGnmzZtHVFQULi4uBAcHExUV\n5Rid8vX1xdvbm+PHj+dY3rFjRwD8/f0zJT8Ae/fuJSYmhkmTJgFpo15eXl5Zxjpjxgzc3Nzw9vam\nX79+mc63b9+e7du3s27dOsaMGZPn9q9mt9v58ssveeCBB6hcufJ1698MK1asAKBLly5OjkRERERE\nSjIlUsCLI9/jJ7fHMC2bknJ8LzHbZtP3lTF8P+P/6NevHxcuXHAkIYWlTZs2PPHEE9etl75GKjvJ\nycmOaXhJSUmULl06T+1fbfbs2VStWtWRCIqIiIiISJoSP7Xv9OnTbDzqhvFtCoBr1foY97Jsi7Wx\nZ89eIC05SRcQEOCYFnf8+HFOnz6Nr69vtuV169YlNDQUSJvCd+TIkUwxNGjQgN9//53z588DkJCQ\nQFxcXL7uZ9GiRbRu3ZrHHnuM2bNn57v9xYsXc/HiRfr06ZOvOApLly5dNBolIiIiIk5X4kekjhw5\nwoUytzuOjTF4tX+Zs6v+wZix42jZohmlSpVybP997733MnfuXCZMmICLiwtBQUG4urrmWB4SEsL4\n8ePx9fXF398fDw+PDDH4+fnRvXt3pkyZgmVZuLi40K9fP7y9vfN0L5GRkURHRzNixAhsNhs7duxg\n48aNtG3bNk/tx8fHs3z5cnx9fXnnnXcAuP/++2nfvn2e4hERERERuVUZy7KcHUOBCwwMtNJHga7n\n4sWLtA2axOm2EzOUl9k2mV8+GICvr+8NxWK320lNTcXNzY2TJ0/y0Ucf8fbbb+PqWuJz2HxZtmwZ\noN37RG6EMWa7ZVmBzo5DRESkOCvxv817eHjQr8PtfB76NSl3/A2MDROxhIdut244iYK0aYEffvgh\nqampWJZF//79Cy2JGjp0KFOnTnUcb9y4kZiYGMqXL8/27duBtBG49A0v2rVrxwMPPMDmzZv56aef\nAHBxceGuu+7K9MLbkJAQmjZtSosWLbLsb+rUqezfv5+6desyZMgQR501a9awevVqTp48yeTJk3P9\n8uHsuLm53dD1IiIiIiIFocQnUgAjXgmizW9b+Hz+RC6n2nmq+710ffjvBdJ26dKlCQ4OLpC28uuR\nRx7hkUceAdKSn/Td/AB27drFqlWreO2116hQoQKXL19m06ZNee6jc+fOJCcns379+gzldevWpWnT\npkyePPnGbuKqfkREREREnE2J1BX3tGvNPe1aOzuMm27FihX07NmTChUqAGkv4L3nnnvy3E6DBg2I\njIzMVH7bbbfdcIwiIiIiIkWNEqlbSHJyMhMn/m+tV0JCAnfeeWeO1xw5ciTH7dSLmqVLlwLQrVs3\nJ0dScMLCwpg+fToTJky4oemkWU2/zMn69espVaoUd999NyEhIURGRuLh4YExhv79+1OnTh0mT55M\nz549b+p3ZM2aNaxZswabzcYdd9zBk08+edP6FhEREcktJVLFWMTeXXw1/e+4m0Mkp3oRc6A0n332\nmeN8+hqpgmCMKZB2btS1Ox7eCrZt20bdunXZtm3bTU0QO3TokOG4Z8+etGjRgt27d/Of//yHsWPH\n3rRY0kVERBAWFsbYsWNxdXV1bNkvIiIiUtQokSqm4uLi+PzDHrw/dB/pe1d0fakUC+Z+Su/+L+e6\nHX9/f2JiYmjQoEGO9cqUKUNCQoLjOCEh4YY3jsiPTp063fQ+C1NSUhJRUVG8/vrrfPLJJ45EKjIy\nkiVLluDu7s7JkyepX78+/fv3xxjD0KFDad++Pbt376Z8+fIMGjQILy+vDO3GxMTw3//+l6SkJMqW\nLUtQUBDly5fPUGfp0qW4u7tnWncWEBDAiRMnHMfbt29n7ty5JCYm8vTTTxMQEEBKSgpz584lOjoa\nFxcXevXqRf369dm4cSPh4eEkJydz8uRJmjVr5hhR2r17N0uXLiUlJYUqVaoQFBSEu7t7hr7XrVtH\nly5dHBuyXHtfIiIiIkVFiX8hb3E1Z+YH/P2p/yVRAHWqJ/P7pll5aufhhx/m22+/5dy5cwBcvnyZ\nDRs2ZKpXr149QkNDuXz5MgCbNm2ifv36+b8BAdKm9TVu3BgfHx/KlCmTYQTxwIED9OvXj/Hjx3Py\n5El27NgBpCVfNWvWZPz48QQEBPDDDz9kaDM1NZX58+czePBgRo0aRbt27fj+++9zHVN4eLhjZ8f0\n9t566y369Onj6Gvt2rUAjBs3jkGDBvH111+TkpICwKFDh3j++ecZO3YsoaGhxMfHc+HCBZYvX86w\nYcMYPXo0tWrV4ueff87U9/Hjx4mKiuK9997jgw8+IDo6Otdxi4iIiNxMGpEqpuJORuNXJXN5KZe8\nTYVq0qQJ586d46OPPsKyLIwxtGvXLlO9pk2bcvDgQd59911sNhtVqlRhwIABjvP/93//x7Fjx0hK\nSmLkyJE8/fTTNG7cmF9++YWffvqJc+fO8fbbb9OkSROefvrpPN9vusWLFwPQvXv3fLfhbFFRf/Hz\nr1toHFCbP3aEOkbZWrVqxbZt2xzrkWrXrk3lypUd56KiomjRogXGGFq1agXA3XffzfTp0zO0f/z4\ncWJjY5kyZQqQ9i6za0ejsrJw4UKWLVuGl5cXzzzzjKM8fc1VjRo1iIuLu3IPUdx///0A+Pr64u3t\nzfHjx4G0jUfSp2D6+fkRFxdHYmIisbGxvP/++0BaclanTp1MMdjtdhISEnjzzTeJiYnhiy++4N13\n3y0yU0tFRERE0imRKqaat3qEDb8v4p6WyY6yD0fCqH//b5e8tm3b0rZt2wzXXf2eqZzqZaVr1650\n7do1y3NvvPFGluUPPPAADzzwwHXbzq1y5coVWFs3m2VZvPTmJH45VokL1R7A9bcdWOv+TXR0NO7u\n7tjtdoA8b65wbZJhWRb+/v6MHDkyT+2kr5G6Vvo0O5vN5ogxJ1e/J+3qaxo1asSgQYNyvLZixYo0\nb94cYwy1atXCGMOFCxc0xU9ERESKHE3tK6a6de/Pot/u49ftpbAsOHIcRkyty3MvfeDs0ArV/fff\n7xgJKW6WLP+ZH8/fSVKLl3DzqU+SZzUSmr3IeVtFJk2axD/+8Q8qV65MVFQUANHR0Zw6dQrLsggN\nDaVu3bpAWqKU/oLlrVu3OsrT+fj4cP78efbv3w+kjf7ExsYW6L0EBASwdetWIG0E7PTp0znuOFi7\ndm2ioqIca6+SkpIcI1hXa9asGREREY52U1NTnbIWT0REROR6NCJVTLm4uPDBv5bzw5J5jJ+1DO8q\ntQieNNwxFUyKnvk/bsAKGE/6+FHywa2UbtCFPw/Pc9Rp0aIFW7dupVWrVtSqVYt58+Y5Npto3rw5\nAO7u7kRHR7N8+XK8vLx4/vnnM/Tj6urK4MGD+eabb7h48SKpqal07NgRf3//AruXe++9l7lz5zJh\nwgRcXFwICgrKMBJ1LS8vL4KCgvjyyy8d6+y6d++Oj49Phnpt27Zl1qxZGdrVtD4REREpioxlWc6O\nocAFBgZaoaGhzg5DCsGiRYsA6NGjh5MjybvnXn+bVf4jMG6lM5TXDg1m7exJGcoiIyNZuXIlQ4YM\nydTO0KFDs5yiKZJbxpjtlmUFOjsOERGR4kxT+6RY8fb2xtvb29lh5MtrQT1wD/s8Q5l1ZDsdm9dw\nUkQiIiIikl9OGZEyxlQCvgFqAdFAb8uy4rOolwrsvHJ40LKsx3LTvkakpKj6au53fLZ4M/GeAXhe\nOsJ9dT35aMJwbDb9TUNuHo1IiYiI3DhnJVLvA6cty/qHMeZNoKJlWZm2GDPGXLAsK88rzZVISVGW\nmprKkSNHqFy5Mp6ens4OR0ogJVIiIiI3zll/Bu8OzLzyeSbwuJPikGJm4cKFLFy40Nlh3BAXFxdq\n1KihJEpERESkGHPWrn0+lmUdvfL5GOCTTb3SxphQ4DLwD8uyvr8p0UmRldMW2yIiIiIiN0uhJVLG\nmFVAVr/1jrr6wLIsyxiT3fzCmpZlHTHG1AF+McbstCzrr2z6ewF4AaBGDS3ev1W1b9/e2SGIiIiI\niBReImVZVqfszhljjhtj/CzLOmqM8QNOZNPGkSv/7jfGrAWaA1kmUpZlfQF8AWlrpG4wfBERERER\nkWw5a43UEuCZK5+fARZfW8EYU9EY437lc2WgHbD7pkUoeRIfH09wcDAJCQkAJCYmEhwcTFxcHGfO\nnOHzzz+/Tgu5s2DBAhYsWJCpfP369WzevDlT+dKlSxk8eDAnTvwvV1+9ejWDBw8mJiYGgH/9618k\nJiZmujY4OJjPPvvMcfz7778TEhKSY3yRkZH89VeWuX62oqOjmThxouO/HTt25Ol6EREREbn5nLVG\n6h/AAmPMQCAG6A1gjAkEXrQsaxDQEPjcGGMnLeH7h2VZSqSKqIoVK3Lvvffy3Xff8dRTT7Fo0SLu\nuecexzufBg8eXCD9VK9ePcvyDh06ZHtNtWrVCA0N5ZFHHgFg+/bt+Pv7O86/+uqr2V578OBBjh49\nip+fX67ii4iIwN3dndtvvz1X9QH8/f0ZNWoUNpuNs2fPMnHiRO68805tiS4iIiJShDklkbIsKw7o\nmEV5KDDoyueNwB03OTS5AZ06deLdd99l9erVREVF0a9fPwDi4uKYNm0a48aNIy4ujq+++oqkpCQA\n+vXrx+23345lWSxatIhdu3YB8OijjxIYGEhkZCRLlizB09OTI0eO0LJlS6pVq8Z7771HcnIyL7/8\nMlWqVGHp0qW4u7vTuXPnTHE1a9aMsLAwHnnkEU6ePImHhwcuLi6O88HBwQQHB1O2bOad9h988EGW\nL1/OwIEDM5QnJCQwc+ZMTp06RalSpXjqqafw8PBg/fr12Gw2tmzZQt++ffH19WXOnDmcPn0agD59\n+mRKskqVKuX4nJKSkp9HLyIiIiI3mbNGpOQW5OLiwpNPPsnUqVMZNmxYhmQlnZeXF8OGDcPNzY0T\nJ07w5ZdfEhwczI4dOzh06BBjxozhwoULTJo0iYCAAAAOHz7MhAkTKFOmDKNGjaJ9+/a89dZbrF69\nmjVr1tC7d+8c4ypdujSVKlUiNjaWsLAwAgMD2bhxY67uqWXLlqxduzbD1EBImzJYo0YNXn75Zfbu\n3cvXX3/NmDFj6NChQ4aE7ssvv6RTp07UrVuX06dP8/HHHzNhwoRM/Rw4cICZM2dy+vRpnn32WY1G\niYiIiBRxSqTkhvz44w+sXrUEN1dwdfPithr1KV++PEeOHKFhw4aZ6qempjJv3jwOHTqEzWbj+PHj\nAERFRdGqVStsNhvlypWjXr16REdH4+HhQa1atShfvjyQllSlr0GqVq0aERERuYozMDCQbdu28eef\nf/L666/nOpGy2WyEhYURHBzMyy+/DIDdbudf//oX3bp1o2vXrjRo0ICEhAQuXbqU4dqYmBi+//57\njh496ii7dOkSSUlJuLu7Z6hbu3Ztxo8fz9GjRwkJCaFJkya4ubkBMHnyZM6ePYubmxvu7u4888wz\n+Phk98aAnC1YsMDxzJKTkzl//jxTpkzJVO/FF1+kWrVq2O12fH19efbZZylVqhRDhw5l6tSp+epb\nRERE5FaiRErybdGibzh5bCvBb3TCGENE5GFeee1jvl+8gk8++YRWrVo5EqB0q1atoly5cowdOxbL\nsnjllVeu24+r6/++pt7e3tSsWRNIS3LsdnuuYm3atCnffvstNWvWpHTp0nm4S7jtttvYtWuXY1Rq\n9+7duWqjZs2a1KtXjzfffNORFF2Pn58f7u7uxMbGOu4TYODAgdSsWZNff/2VhQsXZnpudrs9V6NY\nV4/erVmzhoMHD2ZZr1SpUowZMwaAGTNmsH79ejp1ynYjThEREZESR4mU5NuGX1cw5s20DRwsy2LF\nT6G88f+6sXLlMh566CEWLlyYaW3RxYsXqVixIsYYNm3a5EiEAgICWL9+PW3atCEhIYF9+/bRs2dP\njh07luH6mjVr0qJFizzHWqpUKXr06JGvkRybzUanTp2YP38+9913H9u2beOuu+4iOjoagF27drFv\n3z4++ugjIiIiaNGiBZ07dyYyMpJjx46xZs0aIiIiOHPmDGfPniUlJYW+fftiWRYxMTE8+OCDVKpU\niU8//ZRWrVpx7NgxxyYd1woICGD16tVA2tquwMBAdu/ezUMPPeRYj5WcnEyVKlV45pln8PT0zPa+\ntm7dymOPPXbd+w8ICODw4cMZyiIjI1m5ciVDhgwBYN68edSsWZO2bduyaNEiwsPDsdlsNGrUiJ49\ne+bmMYuIiIgUK0qkJN/crxpk2bxlLxUqlqXzgy348F9bePbZF/jtt9+IjIzMkBTcd999fPbZZ2ze\nvJnGjRs7prg1a9aM/fv3M3HiRACefPJJypUrlymRuhGtWrXK97VPPfUUL7zwAqmpqcTGxtKnTx8m\nTZrE22+/zb59+wgKCqJbt24cOHCAoKAg4uLiaNeuHS1btiQmJob4+Hjsdju33XYbZ8+epVmzZo5t\nzqOiolixYgWhoaFERUURFBSU5cYXAOHh4VSrVs1xXKZMGUaPHg3A22+/Td++falXrx5Llizhhx9+\nyHb9WFxcHKdOnaJ+/fo53rfdbmfXrl00btw4V88pISGBsLAwJkyYgDEmy23lRURERG4FSqQk3y4l\n27AsC2MMbe5uSJu7G7JlWyTNW7TGZrM5fsEHGDduHABVq1Zl7NixjvIePXoAYIzhySef5Mknn8zQ\nR7169ahXr57j2NfXlw0bNjimzaWf69atW5YxZlc+fPhwx+dJkyZlOHf69GmmjZlGYkQi44LGEecW\nR61atbjvvvto2LAh3t7eeHp60qFDB4YMGcKkSZP4/fffCQsLA6BNmza8+OKLnD9/nsjISJ5//nkA\nLly4wAcffMALL7yAh4eHo7+7776bu+++m2nTptG5c+cM95tuxowZuLm54e3t7dgNEdLWfkHaSF9i\nYqLj2jZt2uT47q7Q0FBatmyZ7XTA5ORkR1IbEBBAu3btsm3rah4eHri5uTFr1iyaNm3KHXdo400R\nERG5NSmRknzr3ftZJn/8JS8935EyZUqzN+Iw3/+wl2nTRhZan1klGQXp/PnzDH1gKD3/6EkFKpBM\nMsPLDGfz+s00bdqUhQsXMnz4cMeLhyFtWuOLL76Yadrg+fPnHZ/tdjv//ve/efTRRx3vsHJxccGy\nLEednLY+T18jda1rN63IrW3btmVIyK519RqprNhstixjt9lsvPXWW+zdu5ft27ezZs0aXn/99XzF\nKCIiIlKUaY9lybc2bdsT9Nwovpy5k/+bsp5dEe58/PGXGTaHKGitWrW6oSl61/P1h1/z8B8PU4EK\nAJSiFAEJAcyaOIt27drRtWvXDFPrABo3bswvv/ziSCwOHTqUqd3vvvuO6tWrZ4jd29ubQ4cOYVkW\n8fHxjjVX+eHh4UGZMmXYt28fAJs3b8426Tx27BiJiYnUqVMn3/15e3tz9OhRLl++TGJiInv37gUg\nKSmJixcv0qRJE3r37p1pbZWIiIjIrQjDbPkAACAASURBVEIjUnJDAgICGD/hfWeHUWBiwmNoStNM\n5eakoWLFijzwwAOZzj366KN88803vP3221iWReXKlR2bMKRbuXIl/v7+julyjz32GE2bNqVy5cqM\nGzcOPz8/atSocUOxBwUFOTabqFy5MkFBQVnW27ZtG4GBgRhj8t1XxYoVadmyJRMmTMDb29sR+6VL\nl/j0009JSUnBsix69eqV7z5EREREijJz9fScW0VgYKAVGhrq7DCkEMyaNQuAp59+ulDa/2jsR/hN\n9MMXX0eZhcWCBxYwffX0QulT5GYzxmy3LCvQ2XGIiIgUZ5raJ8VK48aNc72DXH4M/PtAfrjjB86T\ntr7pMpf51v9bBowaUGh9ioiIiEjxoxEpkWucPHmSj9/6mPNR5zEVDM+MeobmrZo7OyyRAqMRKRER\nkRunNVIi16hSpQrvfPmOs8MQERERkSJMU/ukWAkJCSEkJMTZYYiIiIhICacRKSlWmjVr5uwQRERE\nRESUSEnxokRKRERERIoCTe2TYiU1NZXU1FRnhyEiIiIiJZwSKSlWZs+ezezZs50dhoiIiIiUcJra\nJ8VKixYtnB2CiIiIiIgSKSlemjZt6uwQREREREQ0tU+Kl5SUFFJSUpwdhoiIiIiUcEqkpFiZM2cO\nc+bMcXYYIiIiIlLCaWqfFCuBgYHODkFERERERImUFC9NmjRxdggiIiIiIpraJ8XLpUuXuHTpkrPD\nEBEREZESTomUFCvz589n/vz5zg5DREREREo4Te2TYqV169bODkFERERERImUFC8NGzZ0dggiIiIi\nIpraJ8VLYmIiiYmJzg5DREREREo4JVJSrCxYsIAFCxY4OwwRERERKeE0tU+KlTZt2jg7BBERERER\nJVJSvNSvX9/ZIYiIiIiIaGqfFC8XLlzgwoULzg5DREREREo4JVJSrCxcuJCFCxc6OwwRERERKeE0\ntU+Klfbt2zs7BBERERERJVJSvNStW9fZIYiIiIiIaGqfFC9nz57l7Nmzzg5DREREREo4JVJSrHz3\n3Xd89913zg5DREREREo4Te2TYqVDhw7ODkFERERERImUFC916tRxdggiIiIiIpraJ8VLfHw88fHx\nzg5DREREREo4JVJSrCxevJjFixc7OwwRERERKeE0tU+Klfvuu8/ZIYiIiIiIOGdEyhjTyxjzpzHG\nbowJzKFeF2NMhDEmyhjz5s2MUYqmWrVqUatWLWeHISIiIiIlnLOm9u0CegDrs6tgjHEBPgEeBhoB\n/YwxjW5OeFJUnTp1ilOnTjk7DBEREREp4ZySSFmWtceyrIjrVLsLiLIsa79lWcnAfKB74UcnRdkP\nP/zADz/84OwwRERERKSEK8prpKoBh646Pgy0dlIsUkR07NjR2SGIiIiIiBReImWMWQX4ZnFqlGVZ\nBb7tmjHmBeAFgBo1ahR081JE3Hbbbc4OoUAMHTqUqVOnFno/33//PTt37nQcJycnc/LkST7++GPC\nwsL46aefsCyL0qVLM2DAAKpXrw5AcHAw7u7u2Gw2XFxcCA4OLvRYRURERIqTQkukLMvqdINNHAGu\n/q25+pWy7Pr7AvgCIDAw0LrBvqWIOnHiBABVq1Z1ciTFw+OPP87jjz/uOJ4xYwaBgYG4u7tTuXJl\n/v73v+Pp6cmuXbuYPXs2b731lqPu8OHDKVu2rDPCFhERESnyivLUvm1AgDGmNmkJVF+gv3NDEmdb\nvnw5AEFBQc4NpBCEh4ezbNkyUlNTKVOmDAMHDsTLy4tRo0YxevRoPD09ARgzZgxvvPEG0dHRmeqX\nK1cu2/a3bNnCiRMnePbZZwG4/fbbHefq1KnDmTNnCvcGRURERG4hTkmkjDFPAP8CqgDLjDFhlmU9\nZIzxB760LOsRy7IuG2OGAD8BLsBXlmX96Yx4peh48MEHnR1CvqWmprJv3z4qVqyY5fm6devy5ptv\nYoxhw4YN/PTTT/Tq1Ys777yTsLAw2rZty4EDB6hUqRLlypXLtn5W4uLiWLRoEcOHD8dmy7zHzIYN\nG2jcuHGGsilTpmCMoUOHDtxzzz03/gBEREREbiFOSaQsy/oO+C6L8ljgkauOlwPLb2JoUsRVq1bN\n2SHky5qVS/hh5mhaVDnEiQRPfttUigsXJmWYOhcfH88XX3zB2bNnSU1NpXLlygAEBgaybNky2rZt\ny7Zt2wgMDMyx/rXsdjszZsyge/fuWU6JjIiI4LfffmPEiBGOshEjRlChQgXOnz/PlClT8PX1JSAg\noCAfiYiIiEixVpSn9olkcuzYMQB8fbPax6RoiouL4+eQ15jcNfpKyRn+jIL3Rw/k7SnfOOrNnz+f\nTp06ceeddxIZGcnSpUuBtGl3J06c4Pz584SFhfHoo4/mWP9ay5cvp3z58rRt2zbTucOHDzNr1iyG\nDh1KmTJlHOUVKlQAwMvLi2bNmnHgwAElUiIiIiJXcdYLeUXyZcWKFaxYscLZYeTJormf8/xd0RnK\nPEuBPW47drvdUXbx4kVHArNp0yZHuTGG5s2b89///hc/Pz9HwpNd/avt37+fjRs38re//S3TudOn\nT/PZZ5/x3HPP4ePj4yhPSkri0qVLjs+7d+8utiOBIiIiIoVFI1JSrHTp0sXZIeRZ0qVESntmLEu+\nDGt2nGLkyJHYbDYefPBBunXrxhdffIGnpycNGjTg1KlTjvqBgYFMmjQpwyYbOdVPt3TpUpKTk5k8\neXKG8hdffJEff/yRhIQE5s6dC+DY5vz8+fNMnz4dSFvXddddd2VaPyUiIiJS0hnLuvV2Cg8MDLRC\nQ0OdHYYIAIcOHWLeuNaM6HTUUZaYBBM2d+Gfn//oxMikpDLGbLcsK9DZcYiIiBRnGpEq4s6dO8eC\nBQs4cOAAnp6euLq60rlzZ5o3b16g/QQHBxMcHJzr9wZNnjyZs2fP4ubmhru7O8888ww+Pj7MmjWL\nBx98ED8/v0KJ4ciRtFeJFaepZrfddhvV249k/IopPFw3mmMXyrDyYCNGf/SVs0MTERERkXxSIlWE\nWZbF9OnTadOmDYMGDQLSNi4IDw93cmRpBg4cSM2aNfn1119ZuHAhr7zyCk8//XSh9vnzzz8Dxe89\nUv2fe40zPZ5hw7pV+FTxZVqbdhhjnB2WiIiIiOSTEqkiLCIiAhcXFzp06OAo8/b25v777wcgJSWF\nuXPnEh0djYuLC7169aJ+/frZlicnJxMSEkJsbCw+Pj6cOXOG/v37U7NmzQz9btmyhV9++YXLly9T\nu3Zt+vfvn+W7h9IFBASwevVqIG2kqmfPnpQtW5YpU6YwcuRIypQpwwcffMCjjz5Ko0aN8tz+1R55\n5JHrVyqiKlSoQNfuPZ0dhoiIiIgUAO3aV4TFxsZSo0aNbM+vXbsWgHHjxjFo0CC+/vprUlJSciz3\n9PRk/PjxdO/enYMHD2Zq8+jRo4SGhjJixAjGjBmDzWZj69atOcYZHh6eaaqdt7c3Dz30EHPmzOHn\nn3/Gz8+PRo0a5av9q1WtWjXLdyGJiIiIiNxMGpEqgvZG7OO96XPZF/UXPl4uPPzww3h5eTFv3jyi\noqIcu6tFRUU5Rqd8fX3x9vbm+PHjOZZ37NgRAH9//yzXGe3du5eYmBgmTZoEpI16eXl5ZRnnjBkz\ncHNzw9vbm379+mU63759e7Zv3866desYM2ZMntvPyqFDh4C0dUciIiIiIs6iRKqI+W3LdgZ9sJQL\nd40g1fMgf4bO5uGgkfz8n8n069ePCxcuOJKQwtKmTRueeOKJ69ZLXyOVneTkZOLj44G09xGVLl06\nT+1nJX0KYXFbIyUiIiIitxZN7Sti3pn+DQntxmEr5Ylr1fqYUmXZ69GaT7+eD6QlJ+kCAgIc0+KO\nHz/O6dOn8fX1zba8bt26pG8Lf/ToUccOeFdr0KABv//+O+fPnwcgISGBuLi4fN3LokWLaN26NY89\n9hizZ88ukPa7du1K165d8xWPiIiIiEhB0YhUEXP6sodjNzdjDF7tXyYxbAFfzZhJ8tljlCpVih49\negBw7733MnfuXCZMmICLiwtBQUG4urrmWB4SEsL48ePx9fXF398fDw+PDP37+fnRvXt3pkyZgmVZ\nuLi40K9fP7y9vfN0H5GRkURHRzNixAhsNhs7duxg48aNtG3b9obar1y5cp7iEBEREREpDHohbxHz\n4NMjiGjxzwxbY1+OO8AL5X5k3N9fvqG27XY7qampuLm5cfLkST766CPefvttXF2LTz4dHR0NQK1a\ntZwah0hxphfyioiI3Lji8xt0CTF0wMMM/880LrV4BWOzYb90Hr/wyfy/WTe+Lio5OZkPP/yQ1NRU\nLMuif//+xSqJgv/tVKg1UiIiIiLiTBqRKoJ+Wb+JKbOWkJBaihoVbLw3cjC+vr7ODqtISN+8omLF\nik6ORKT40oiUiIjIjStewxElxAMd2vBAhzbODiPPli9fztatW7HZbBhjeOqpp6hdu3aB9pGeQK1a\ntYojR47wzDPPAGkvEd66dSuvvvpqgfTzz3/+k5EjR+aq7qVLl5g4cSKvvfYaVatWJTU1lXfeeYen\nn36aM2fO8MMPP2Sof+TIEYYMGUKTJk0ylL/44otUq1YNu92Or68vzz77LKVKlSqQ+0l35swZvvnm\nGwYPHlyg7YqIiIiUNEqkpEDs37+fnTt3Mnr0aFxdXblw4QKXL18ulH4AHnjgAd59913++usv/Pz8\nWLx4Ma+//voNt2+327HZbLlOogBKly7NE088wbx583jttddYuXIlt99+uyOJbN68uaPur7/+ypYt\nW2jcuHGmdkqVKuV439aMGTNYv349nTp1cpxPHz2+ev1cXlWoUEFJlIiIiEgBUCIlBeLs2bOULVvW\nseaqbNmyjnN79+5l4cKFpKamUqtWLQYMGICrqyvBwcG0adOGP/74g9TUVAYPHoyPjw9jx45lxIgR\neHl5YVkWY8aMYeTIkXh5ebF+/XoA6tSpQ//+/Zk7dy61a9emXbt2jh39QkJCcHNzIyYmhosXL9Kr\nVy+aNm2K3W7nu+++IyIigsuXL3PffffRoUMHIiMjWbx4MZ6enhw7doyJEycydOhQpk6dSlJSEp9+\n+ikJCQmkpqby+OOPc+edd2a6/8DAQH777Td++ukn1q9fz+jRozPVOX78OD/88AMjR468bjIUEBDA\n4cOHiYuL4+OPP6Z27drExMTw6quvcvz4cZYuXUpKSgpVqlQhKCgId3d3goODadWqFbt27cLFxYWn\nnnqK7777jhMnTvDQQw/RoUMH4uLimDZtGuPGjWPjxo3ExMQ4XqY8bdo0OnfuTL169Rg6dCj33nsv\nO3fupHz58jzxxBN8++23nD59mt69e2f5DERERERKEr1HSm6YZVk0bNiQ06dPM2bMGObOnUtkZCQA\nKSkphISE8PzzzzNu3Djsdjvr1q1zXFu2bFlGjx7Nvffey8qVKzHG0Lp1a8d7sPbs2UP16tXx8vIC\n4IknnnC8zPf222/Hz8+PPXv28NBDD2WIKS4ujrfeeotXX32VOXPmkJKSwm+//YaHhwfBwcEEBwez\nYcMGTp06BcDBgwfp06cPEydOzNCOm5sbL730EqNHj2b48OH897//Jbt1hX369GHRokU88sgjlClT\nJsO51NRUZsyYQa9evahUqVKOz9Nut7Nr1y6qVasGwIkTJ7j33nsZP3487u7uLF++nGHDhjF69Ghq\n1arFzz//7Li2UqVKjBkzhrp16xISEsLgwYN58803WbJkSY59XispKYn69eszfvx4Spcuzffff8+w\nYcN46aWX8tyWiIiIyK1II1KSb/Hx8YwcOZKTJ08C4O/vz6BBgzh8+DD//ve/eeKJJ6hRowaVK1fG\nx8cHgDZt2rB27Vo6duwI/G/aW82aNdmxYwcA7dq145NPPqFjx4789ttvtG3b1tFn+fLlHZ+TkpKI\niYkhNTWV8+fPZ9iAomXLlhhjqFq1KlWqVOHYsWPs3r2bw4cPs337dgAuXrzIiRMncHV1pVatWlm+\no8qyLL777jv27duHMYYzZ85w/vx5ypUrl6nun3/+Sfny5YmNjc10bvHixfj5+REYmP36/uTkZEci\nFxAQQLt27Th79iyVKlWiTp06QNrUxtjYWN5//30gLUFLPwc4RoqqVatGUlISpUuXpnTp0ri6upKY\nmJht39dydXV1TD+sVq0arq6uuLi4UK1atXy/oPlagwcPpnXr1jz33HNAWgL5xhtvULt2bYYMGcIf\nf/zB0aNH6dKlS4H0V9iOHz/OggULOHHiBO7u7lStWpW+fftm+V252a4dfcyOMeZJ4A5gJ3ASSLYs\na3MO9WsCbSzLmm+MqQekWpb1VwGGLiIiUmQpkZJ8e/HFF6ldu7Zj5OTChQt8/PHHhISEUK1aNTZt\n2kSNGjVybCN9KqDNZsNutwNpG0qUK1eOvXv3Eh0dzcCBAx31o6KiAKhbty5LliyhdevWlCtXjgUL\nFmRY+3Pt1DljDJZl0bdv30zrkyIjI3F3d88yvi1btnDhwgVGjRqFi4sLwcHBpKSkZKp35swZfvnl\nF9566y0+/PBD2rVrR/Xq1R3t79ixg1GjRuX4LK5eI3W1a2Nr1KgRgwYNyrKN9OdpjMmwtf3Vzzed\ni4tLhtG1q+/LxcUlw4uhr2732nbyy93dnSNHjpCSkoKbmxu7d++mQoUKjvN33nlnrqcQFsT6sRuR\nkpLCtGnTHNNIIe3nfuHChSKRSOVBB+D/WZaVqx+yZVkxQMyVw/pAEqBESkRESgQlUpIv6etwPDw8\ngLQkCiAxMZGDBw9y6NAhKlWqhI+PD6dOneLEiRNUrVqVzZs3ExAQcN3227dvz1dffcXdd9+Nzfa/\nGagbNmwAwMPDg507dzJmzBhcXV3ZsGEDe/bsoWHDhgBs376dNm3acOrUKU6ePImPjw+NGzdm3bp1\nNGjQABcXF44fP57hF/esXLx4ES8vL1xcXIiIiMh2NOa///0vDz/8MBUrVqRXr17MmzePv//971y8\neJGQkBAGDRpE6dKlr/9gr6N27drMnTvX8TyTkpI4c+aMY8QvL7y9vVm7di2WZXHmzBnHy45vpjvu\nuIOdO3fSokULtm3bxl133cW+ffuAjKMo586dY86cOY6pmP3796dChQqZ1o/t37+f5cuXO9ru0aMH\nQK7WfMXFxfHVV1+RlJQEQL9+/bj99tvZsWMHa9euZdiwYZw7d44PPviAN954I0OCtHXrVurUqeNI\nogDq1asHkG27kZGRLF26lLJly3LkyBFq1qzJc889x+7du9mwYYPjDwORkZGsXLmSIUOGMGfOHGJi\nYkhOTqZly5Z069YNgEWLFhEeHo7NZqNRo0b07Nkz22ceEhICUNEYMxIoB3xrWdbvxphXAHdglDHm\nR8APSLIsa6UxZjhwgLRkyROYZVnWviujUJ2BeaQlYXZjTGtgPvAsMMayrFRjTGlgbPpxXr4jIiIi\nRZUSKcmXo0ePZtia+/Lly+zatYvjx48zadIkmjVrxlNPPYWbmxtBQUF88cUXjs0m7r333uu2f+ed\ndzJz5swM0/oAevbsiWVZTJ8+nd69e+Pm5gbAgAED+Prrrx2bPFSqVIn33nuPixcvMmDAANzc3Gjf\nvj1xcXG88847QNr6rJdffjnHOFq3bs0nn3zChAkTqFWrVpbv89qzZw+nT5+mXbt2ADRt2pRff/2V\nzZs3O6YCzpkzJ8M1Dz/8cI7T/LLj5eVFUFAQX375pWNXxO7du+crkbr99tupXLky48aNw8/P77qj\nh4UhMDCQZcuWcccdd3D48GHatWvnSKSu9s0331CvXj1eeukl7HY7SUlJJCYmcuLECYKCgqhTpw5n\nzpzh22+/ZdSoUZQpU4YpU6YQFhZGs2bNHGu+nnzySaZPn+5Y83X06FG+/vpr7rzzTry8vBg2bBhu\nbm6cOHGCL7/8kuDgYJo3b+5Ipv78808ee+yxTKNMsbGx2T6/7NqFtLV548ePp0KFCrz//vv89ddf\nNGzYkNmzZ5OUlIS7uzvbtm2jVatWADz++OOUKVMGu93ORx99xOHDh6lYsSJhYWFMmDABY0xup3C6\nAO8DvsArwO+WZX1ijJlqWdZEAGNMt2uvsSzrPWNME6Ar8FH6Ccuy4owx67mSeF25PoK0aYJhQCtg\nh5IoERG5lSiRknxp06YNn376qeO4QoUKtG/fnrCwMKZOnZohyWrQoEGWu9hNmjTJ8blmzZoMHz7c\ncXz48GGqV6+eKXFJ3w1wxIgRGcpr1qzJ+PHjHccNGzZkwIABGeoYY3j88cd5/PHHM5TXq1fPMXqQ\nburUqY7+rrcVesOGDR0jYeleeeUVx+eHH344x+uv7fNq3t7ejBs3LkNZgwYNHL+IX+3q59m2bdsM\nSWj6ubJlyzraM8ZkmDaZXSzpox45xZlbmzesZencybjYL/B7WDzly79LXFwc27Zt44477sj2ur17\n9/Lss88CadMUPTw8SExMzLB+LCYmhvr16zs2JmndujX79u2jWbNmuVrzlZqayrx58zh06BA2m43j\nx487+u/bty8TJkygdu3ajqQmt3Jqt3bt2o61fdWrVycuLo66devSpEkTwsPDadmyJTt37uTJJ58E\n0kZa169fj91u5+zZsxw9ehR/f3/c3NyYNWsWTZs2zfE5XuWilTYf8qgxJrdzD3+/8u9BwDsX9TcA\nD5GWSLUFZueyHxERkWJBiZTkS9myZenatSvLli0jICAAu91OVFQUffv2veGXyK5YsYJ169Zl+Ut+\nREQEAPXr17+hPuTm+3HxfA6sGMrb7U7iYoPDe+HNFx7kwT5vsnDhQoYPH05CQkKe2sxubdu1crPm\na9WqVZQrV46xY8diWVaGZDg+Ph5jDOfOncOyrExrsfz9/R07VV4rp3avXceWmpo2YBMYGMjatWsp\nU6YMtWrVonTp0pw6dYqVK1cSHByMp6cnISEhpKSkYLPZeOutt9i7dy/bt29nzZo1uXmnWtZbT+Ys\n/cVwdnKx46tlWX8ZY7yvTP+zWZaVeRcWERGRYkzbn0u+DRw4kA8//BAPDw/KlSvHtGnT6NOnzw23\n26VLF9577z3q1q2b6dymTZvYtGlTjtcHBQXRokWLG45DCtaa76bw8j1pSRRAWXd4uvF2zpw8RNeu\nXR2blmSlQYMGjm3z7XY7Fy9ezFSnVq1ajg0e7HY7W7duzTTSmJOLFy9Svnx5jDFs3rzZkWDZ7XZm\nzpzJoEGD8PPzy7DdfLq77rqLv/76i507dzrK9u3bR2xsbLbt5qRevXocPHiQX3/91TEF9NKlS7i7\nu+Ph4cG5c+fYtWsXkLZ75cWLF2nSpAm9e/fm8OHDub7nAnaJtDVWV9sMDAI23vxwRERECpdGpOSG\n1KpVK8OUusLWu3fvm9aXFCwP61Smsla1LrPij98Jev7VHK/t06cP//nPf9iwYQM2m40BAwZk2Aof\n0rbG79GjB5MnTwbSNpvIy4uD77vvPj777DM2b95M48aNHaNdy5cvJyAggLp161K9enUmTZrEHXfc\ngZ+fn+NaNzc3hgwZwoIFC1iwYIFj2mCfPn2ybTcnNpuNO+64g02bNjmmNFavXp3bbruNsWPHUqlS\nJccfGi5dusSnn35KSkoKlmXRq1evXN9zAQsHBhtjmgHzLcvaB2wBugPbnBWUiIhIYTHZvVy0OAsM\nDLRCQ0OdHYaIXGVEUBve75zxlURb9rtyqM7n9Oz/nJOiKpmMMdsty8r7bid576cF0MyyrK8Kuy8R\nEZGbTVP7pFjZs2cPe/bscXYYkg8P9BjGtHVVSL0ys+1wHMz6M5Duvf7m3MCkUBhj+gI9gGXOjkVE\nRKQwaGqfFCtbtmwByLRLnhR9XR7rw9bKfoyd8wEu9gQqVGvGP/89wbGFvdxaLMua7+wYRERECpOm\n9kmxcunSJYACebmtSEl1s6b2iYiI3Mo0IiXFihIoERERESkKtEZKipVdu3Y5tn0WEREREXEWjUhJ\nsZI+ZbNJkyZOjkRERERESjIlUlKsDBgwwNkhiIiIiIgokZLiRTu8iYiIiEhRoDVSUqyEh4cTHh7u\n7DBEREREpITTiJQUK7///jsATZs2dXIkIiIiIlKSKZGSYuVvf/ubs0MQEREREVEiJcWLi4uLs0MQ\nEREREdEaKSlewsLCCAsLc3YYIiIiIlLCKZGSYkWJlIiIiIgUBcayLGfHUOCMMSeBmGxOVwZO3cRw\ncktx5V5RjAkUV14UxZig5MRV07KsKgXYnoiISIlzSyZSOTHGhFqWFejsOK6luHKvKMYEiisvimJM\noLhEREQk9zS1T0REREREJI+USImIiIiIiORRSUykvnB2ANlQXLlXFGMCxZUXRTEmUFwiIiKSSyVu\njZSIiIiIiMiNKokjUiIiIiIiIjfklk+kjDG9jDF/GmPsxphsd70yxkQbY3YaY8KMMaFFKK4uxpgI\nY0yUMebNmxBXJWPMz8aYfVf+rZhNvdQrzyrMGLOkkGLJ8d6NMe7GmG+unN9ijKlVGHHkI64gY8zJ\nq57PoJsQ01fGmBPGmF3ZnDfGmKlXYg43xrQo7JhyGdd9xpizVz2rsTchptuMMWuMMbuv/G/wtSzq\n3PTnlcu4bvrzEhERkazd8okUsAvoAazPRd37LctqdpO2Gb5uXMYYF+AT4GGgEdDPGNOokON6E1ht\nWVYAsPrKcVYuXnlWzSzLeqygg8jlvQ8E4i3Lqgt8BPyzoOPIZ1wA31z1fL4s7LiAEKBLDucfBgKu\n/PcCMP0mxATXjwvg16ue1ds3IabLwHDLshoBdwOvZPEzdMbzyk1ccPOfl4iIiGThlk+kLMvaY1lW\nhLPjuFYu47oLiLIsa79lWcnAfKB7IYfWHZh55fNM4PFC7i87ubn3q2NdCHQ0xpgiENdNZ1nWeuB0\nDlW6A7OsNJuBCsYYvyIQ101nWdZRy7J+v/L5PLAHqHZNtZv+vHIZl4iIiBQRt3wilQcWsNIYs90Y\n84Kzg7miGnDoquPDFP4vVj6W08TtmwAABI1JREFUZR298vkY4JNNvdLGmFBjzGZjTGEkW7m5d0cd\ny7IuA2cB70KIJa9xATx5ZUrYQmPMbYUcU24447uUW22MMX8YY340xjS+mR1fmQ7aHNhyzSmnPq8c\n4gInPi8RERH5H1dnB1AQjDGrAN8sTo2yLGtxLptpb1nWEWNMVeBnY8zeK39Nd3ZcBS6nuK4+sCzL\nMsZkt61jzSvPqw7wizFmp2VZfxV0rMXUUmCeZVlJxpjBpI2aPeDkmIqq30n7Ll0wxjwCfE/adLpC\nZ4wpC3wLDLMs69zN6DM3rhOX056XiIiIZHRLJFL/v737CY2jjMM4/n20rZj6FyKoiNSDoJ48iAg9\n2IMYqFAsFGkPWsUeFKQH8eSl4Kl4EEHwD1QvokEPDQQtevHPSaQ9FEr1UhQxQQxaUEuDWPvzsBMY\n2qTNuLsZDd8PhGzeHXaffQnZeTLvzFbVQyN4jPnm+0KSGQZLuIYqUiPINQ+0j2bc1owN5VK5kvyc\n5Jaq+qlZyrSwwmMszdd3Sb5g8N/zURap1bz2pW3mkmwArgd+HWGGf5WrqtoZDgEvjznTaozld2lY\n7aJQVUeSvJ5ksqp+GefzJtnIoKy8V1WHl9mkl/m6XK6+5kuSJF3MpX1Aks1Jrl26DTzM4GIQfTsK\n3JnkjiSbgN3AWK6Q1zIL7G1u7wUuOnKW5MYkVzW3J4GtwDcjzrGa197Ougv4rMb/wWiXzXXBuTQ7\nGJzr0rdZ4InmanQPAL+1lnD2JsnNS+e1Jbmfwd+ksZbh5vneBr6tqldW2GzN52s1ufqYL0mStLx1\ncUTqUpLsBF4DbgI+TnK8qqaS3AocqqrtDM4Dmmn2TzYA71fVJ33nqqpzSZ4DPgWuBN6pqpPjzAUc\nBD5M8jTwA/BYk/c+4Jmq2gfcDbyV5DyDHbmDVTXSIrXSa0/yEnCsqmYZ7HS+m+QUgwsa7B5lhiFy\n7U+yg8FV2E4DT447V5JpYBswmWQOOABsbDK/CRwBtgOngLPAU+POtMpcu4Bnk5wDFoHda1CGtwKP\nAyeSHG/GXgRub+XqY75Wk6uP+ZIkScuI78GSJEmS1I1L+yRJkiSpI4uUJEmSJHVkkZIkSZKkjixS\nkiRJktSRRUqSJEmSOrJISUNK8neS462vLa37Xk0yn+SK1thdSb5K8meSF/rILEmSpOGs+8+RktbA\nYlXde+FgU552Aj8CDwKfN3edBvYDj65ZQkmSJI2UR6Sk8dkGnATeAPYsDVbVQlUdBf7qKZckSZKG\nZJGShnd1a1nfTGt8DzANzACPJNnYTzxJkiSNmkv7pOFdtLQvySZgO/B8Vf2R5GtgCvioj4CSJEka\nLYuUNB5TwA3AiSQAE8AiFilJkqR1wSIljcceYF9VTQMk2Qx8n2Siqs72G02SJEnDSlX1nUH6X0ty\npqquaf08AcwBW6rq99b4YeAD4EvgGHAdcB44A9zT3laSJEn/bRYpSZIkSerIq/ZJkiRJUkcWKUmS\nJEnqyCIlSZIkSR1ZpCRJkiSpI4uUJEmSJHVkkZIkSZKkjixSkiRJktSRRUqSJEmSOvoHkWKXeKiX\nKjQAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111c5a650>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(13,13))\n",
"\n",
"plt.subplot(2,2,1)\n",
"plt.scatter(df_new_efa.iloc[:, 0], df_new_efa.iloc[:, 1], \n",
" c=brands, cmap=cm_, edgecolor=\"k\", linewidth=.5)\n",
"plt.axhline(0, c=\"gray\", ls=\":\")\n",
"plt.axvline(0, c=\"gray\", ls=\":\")\n",
"plt.xlabel(\"FA1\")\n",
"plt.ylabel(\"FA2\")\n",
"for label, (x, y) in df_new_efa.iloc[:, :2].iterrows():\n",
" plt.text(x, y, label, alpha=.6)\n",
"\n",
"plt.subplot(2,2,2)\n",
"plt.scatter(df_new_efa.iloc[:, 1], df_new_efa.iloc[:, 2], \n",
" c=brands, cmap=cm_, edgecolor=\"k\", linewidth=.5)\n",
"plt.axhline(0, c=\"gray\", ls=\":\")\n",
"plt.axvline(0, c=\"gray\", ls=\":\")\n",
"plt.xlabel(\"FA2\")\n",
"plt.ylabel(\"FA3\")\n",
"for label, (x, y) in df_new_efa.iloc[:, 1:].iterrows():\n",
" plt.text(x, y, label, alpha=.6)\n",
"\n",
"plt.subplot(2,2,3)\n",
"plt.scatter(df_new_efa.iloc[:, 0], df_new_efa.iloc[:, 2], \n",
" c=brands, cmap=cm_, edgecolor=\"k\", linewidth=.5)\n",
"plt.axhline(0, c=\"gray\", ls=\":\")\n",
"plt.axvline(0, c=\"gray\", ls=\":\")\n",
"plt.xlabel(\"FA1\")\n",
"plt.ylabel(\"FA3\")\n",
"for label, (x, y) in df_new_efa.iloc[:, [0,2]].iterrows():\n",
" plt.text(x, y, label, alpha=.6)"
]
},
{
"cell_type": "code",
"execution_count": 233,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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AYHp6GllZWdy1KfIQ3ZBYIMKGr74O7LEBwzDo6+uD0WhEVVUVUlJSQh4vWiILc3NzMBgM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\nIYSQdlGxQAghhJB2/R90L/zW61QUaQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x116a81750>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"fig = plt.figure(figsize=(9,9))\n",
"ax = fig.add_subplot(111, projection=\"3d\")\n",
"ax.w_xaxis.set_pane_color((.99, .99, .99, 1.0))\n",
"ax.w_yaxis.set_pane_color((.99, .99, .99, 1.0))\n",
"ax.w_zaxis.set_pane_color((.99, .99, .99, 1.0))\n",
"\n",
"ax.scatter(df_new_efa.iloc[:, 0], df_new_efa.iloc[:, 1], df_new_efa.iloc[:, 2], \n",
" c=brands, edgecolor=\"k\", linewidth=1, s=30, cmap=cm_)\n",
"for label, (x, y, z) in df_new_efa.iloc[:].iterrows():\n",
" ax.text(x+.03, y+.05, z+.01, label, alpha=.6, size=10)\n",
"\n",
"\"\"\"for i in range(90):\n",
" ax.view_init(20, i)\n",
" plt.savefig(str(i)+\".png\")\"\"\";"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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HkodfKjfGzAfmX7Tu9UvEtsqr82qxU0oplTMv78LO4JppsVNKKZUjvTemUkop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\n/g7BZEHZqaretQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112492ad0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"loading = pd.concat([df_new, df_new_efa], axis=1).corr().iloc[:7, 7:]\n",
"sns.heatmap(loading, annot=True)\n",
"plt.title(\"Factor loadings (unrotated)\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### VariMax rotation"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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zhIeHkb13L4Ovu4v+PU4kIS62vJtRoXl9Pp77cR5vXtaPxOpVuOqDSZzcol5+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\n/R/cMtXPcSxJoAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112fdaad0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"loading_rotated = pd.DataFrame(varimax(efa.components_.T)[0])\n",
"loading_rotated.columns = loading.columns\n",
"loading_rotated.index = loading.index\n",
"sns.heatmap(loading_rotated, annot=True)\n",
"plt.title(\"Factor loadings (Varimax)\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* FA1: Bad Focus\n",
"* FA2: Sharp, Clear\n",
"* FA3: High Detail"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {
"collapsed": false
},
"outputs