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Last active May 23, 2016 04:05
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# The Casper scoring rule: betting on blocks\n",
"\n",
"Let's look at the Casper scoring rule. It determines the payoffs that validators (or \"guardians\") will receive for submitting bets in a \"consensys-by-bet\" blockchain protocol.\n",
"\n",
"Background:\n",
"\n",
"https://blog.ethereum.org/2015/12/28/understanding-serenity-part-2-casper/\n",
"\n",
"https://blog.ethereum.org/2016/03/05/serenity-poc2/\n",
"\n",
"https://github.com/ethereum/research/blob/master/casper/README.md\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import math\n",
"import numpy as np\n",
"\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"from matplotlib import style\n",
"style.use('ggplot')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Encoding and conversion between probabilities, odds, and log-odds"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# https://github.com/ethereum/pyethereum/blob/serenity/ethereum/casper.se.py#L12-L15\n",
"# Interpret prob as odds in scientific notation: 5 bit exponent\n",
"# (-16….15), 3 bit mantissa (1….1.875). Convert to odds per billion\n",
"# This allows 3.125% granularity, with odds between 65536:1 against\n",
"# and 1:61440 for\n",
"\n",
"\n",
"# https://github.com/ethereum/pyethereum/blob/serenity/ethereum/test_scoring_rule.py\n",
"\n",
"#def logoddsToOdds(logodds):\n",
"# return 2**(logodds // 4) * (4 + (logodds) % 4) * 99 / 1700\n",
"\n",
"# LOWCAP, HIGHCAP = 0, 255\n",
"# MAXODDS = logoddsToOdds(HIGHCAP) / 10**9"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def logoddsToOdds(logodds):\n",
" return 2**(logodds // 4) * (4 + (logodds) % 4) * 99 / 1700"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"MAXODDS = logoddsToOdds(255) // 10**9"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"3759880483.0"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"MAXODDS"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.23294117647058823"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"logoddsToOdds(0)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"1000474734.8329412"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"logoddsToOdds(128)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"15266.03294117647"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"logoddsToOdds(64)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"65536.0"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"logoddsToOdds(128) / logoddsToOdds(64)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"65536.0"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"logoddsToOdds(192) / logoddsToOdds(128)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"65536.0"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"logoddsToOdds(256) / logoddsToOdds(192)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# https://github.com/ethereum/pyethereum/blob/serenity/ethereum/guardian/utils.py#L78-L102\n",
"\n",
"# Convert probability from a number to one-byte encoded form\n",
"# using scientific notation on odds with a 3-bit mantissa;\n",
"# 0 = 65536:1 odds = 0.0015%, 128 = 1:1 odds = 50%, 255 =\n",
"# 1:61440 = 99.9984%\n",
"def encode_prob(p):\n",
" while 1:\n",
" q = p / (1.0 - p)\n",
" exp = 0\n",
" while q < 1:\n",
" q *= 2.0\n",
" exp -= 1\n",
" while q >= 2:\n",
" q /= 2.0\n",
" exp += 1\n",
" mantissa = int(q * 4 - 3.9999)\n",
" v = max(0, min(255, exp * 4 + 128 + mantissa))\n",
" return v\n",
"\n",
"\n",
"def decode_prob(c):\n",
" #c = ord(c)\n",
" q = 2.0**((c - 128) // 4) * (1 + 0.25 * ((c - 128) % 4))\n",
" return q / (1.0 + q)\n",
"\n",
"#decode_prob('\\xff')\n",
"#decode_prob('\\x00')\n",
"#ord('\\xff') -> 255"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"233"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"encode_prob(0.99999999)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"128"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"encode_prob(0.5)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.9999999997339079"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"decode_prob(255)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.5"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"decode_prob(128)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Probability encodings seem right. Now try the scoring rule. "
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#https://github.com/ethereum/pyethereum/blob/serenity/ethereum/casper.se.py#L25-L30\n",
"# This is a simple quadratic scoring rule.\n",
"#macro scoreCorrect($logodds, $odds):\n",
"# (($logodds - 128) * ($logodds > 128) * (3759880483 / 128 * 10**9) + $odds) / 10000\n",
"\n",
"#macro scoreIncorrect($odds):\n",
"# (0 - ($odds - 10**9) * ($odds > 10**9) * (3759880483 / 128 * 10 / 7 * 4) - $odds * $odds / 2 / 10**9) / 10000"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"Rearranging the factors in scoreCorrect() for better intuition..\n",
"```\n",
"3759880483 = MAXODDS = logoddsToOdds(255) // 10**9\n",
"\n",
"diff = (logodds - 128) * (logodds > 128) # diff has max value of 128\n",
"(diff/128) # normalize to between 0 and 1\n",
"(diff/128)*(MAXODDS * 10**9) # scale to between 0 and MAXODDS\n",
"\n",
"score = ((diff/128)*(MAXODDS * 10**9) + odds)/1000\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# https://github.com/ethereum/pyethereum/blob/serenity/ethereum/test_scoring_rule.py#L12-L16\n",
"\n",
"def scoreCorrect(logodds, odds):\n",
" score = ((logodds - 128) * (logodds > 128) * (MAXODDS / 128 * 10**9) + odds) / 10000\n",
" return score\n",
"\n",
"def scoreIncorrect(odds):\n",
" score = (0 - (odds - 10**9) * (odds > 10**9) * (MAXODDS / 128 * 10 / 7 * 4) - odds * odds / 2 / 10**9) / 10000\n",
" return score"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#https://github.com/ethereum/pyethereum/blob/serenity/ethereum/casper.se.py#L304-L313\n",
"\n",
"#with blockOdds = logoddsToOdds(logBlockOdds): # mod((self.guardians[index].probs[H / 32] / 256**(H % 32)), 256) or 128\n",
"# # log(type=Progress, 3)\n",
"# blockHashInfo = mod(div(self.guardians[index].blockhashes[mod(H / 32, WRAPLENGTH)], 256**(H % 32)), 256)\n",
"# with invBlockOdds = 10**18 / blockOdds:\n",
"# if blockHashInfo >= 2 and blockHashInfo % 2: # block hashes match, and there is a block\n",
"# profitFactor = scoreCorrect(logBlockOdds, blockOdds) + scoreIncorrect(invBlockOdds)\n",
"# elif blockHashInfo < 2: # there is no block\n",
"# profitFactor = scoreCorrect(256 - logBlockOdds, invBlockOdds) + scoreIncorrect(blockOdds)\n",
"# else: # block hashes do not match, there is a block\n",
"# profitFactor = scoreIncorrect(blockOdds) + scoreIncorrect(invBlockOdds)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def scoreBetOnBlock(log_odds, event=\"same\"):\n",
" blockOdds = logoddsToOdds(log_odds)\n",
" invBlockOdds = 10**18 / blockOdds\n",
" if event == \"same\":\n",
" # score when bet is on the same block as the realized block; \"hashes match\"\n",
" profitFactor = scoreCorrect(log_odds, blockOdds) + scoreIncorrect(invBlockOdds)\n",
" if event == \"noblock\":\n",
" # score when realized block is null at that height; \"there is no block\"\n",
" profitFactor = scoreCorrect(256 - log_odds, invBlockOdds) + scoreIncorrect(blockOdds)\n",
" if event == \"different\":\n",
" # score when bet is on a different block than the realized block; \"hashes don't match\"\n",
" profitFactor = scoreIncorrect(blockOdds) + scoreIncorrect(invBlockOdds)\n",
" return profitFactor"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot the scores under each outcome"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def plotScoringRule(event=\"same\"):\n",
" # event can be \"same\", \"noblock\", or \"different\"\n",
" log_odds_range = [i for i in range(0, 256)]\n",
" profit_factors = [scoreBetOnBlock(lo, event) for lo in log_odds_range]\n",
" fig, ax = plt.subplots(figsize=(8,8))\n",
" plt.title('Bet score when realized block is ' + str(event))\n",
" plt.plot(log_odds_range, profit_factors, label='bet score')\n",
" plt.ylabel('bet score (profit factor)')\n",
" plt.xlabel('submitted bet (encoded probability)')\n",
" ax.set_yscale('symlog')"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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7FoGBgUhOTsbkyZO9HSKR7+roAAbw8wERXTy/OnLExsZiwYIF9uWPP/4YaWlp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\ncYZg/9xcz4cAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d5d89e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotScoringRule(event=\"same\")"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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IIa8WC6mpqYiIiHBps1gsSExMhE6nQ1BQEDIzM1FTUwMAOHbsGFatWoWGhga8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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1111550b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotScoringRule(event=\"noblock\")"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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WC0SurpKnThJRw7BYIHJ1PHWSiBqIxQKRq7OOLGiArhudhoickLvRAS5GQUEB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\niIioXv8f8RjLjBlljWAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10db0f358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotScoringRule(event=\"different\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"If the realized block is different, then bets that specify lower probabilities should have higher scores. a bug here?\n",
"https://github.com/ethereum/pyethereum/blob/serenity/ethereum/casper.se.py#L312-L313"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the above plots, we see how bets are scored under different outcomes. But to see whether a scoring rule is [proper](https://en.wikipedia.org/wiki/Scoring_rule#Proper_scoring_rules), we need to look at **expected scores**.\n",
"\n",
"Before looking at expected scores for casper bets, let's look at an example scoring rule known to be proper: the quadratic scoring rule."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Basic quadratic scoring rule"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def quadraticScore(prob_report):\n",
" # normalize scores to -3..1 (as in https://en.wikipedia.org/wiki/File:NormalizedScore.png)\n",
" #a = -1\n",
" #b = 4\n",
" # normalize scores to -1..1\n",
" a = 0\n",
" b = 2\n",
" r_i = prob_report # reported probability of the realized event\n",
" r_j = (1 - prob_report) # implicitly reported probability of the unrealized event\n",
" score = a + b*r_i - b*((r_j**2) + (r_i**2))/2\n",
" return score"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"prob_range = np.linspace(0.01, 0.99, num=99)\n",
"quad_scores = [quadraticScore(p) for p in prob_range]"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x110923fd0>"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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4E86eKZs5RcEtf5FLLeM7DoAERDkA4si+pQtlrz6j4Na/yh1TxXccAAmKcgDE\nCcvZqB2PDVDQq5/csQ19xwGQwCgHQByw3bsUPv0Plel0udypZ/qOAyDBUQ6AGGdhqHDkELm6x6nM\nJT18xwGQBCgHQIyziWOl3Gy5397CmQkASgTlAIhh9uVM2awpPy6mlOo7DoAkQTkAYpStXqZwzDN5\npyxyZgKAEkQ5AGKQbc1V+PRDCq65Ua7+8b7jAEgylAMgxti+vQqHPyx3Vju5lm18xwGQhCgHQAwx\nM9mrz0oVK8ldwpoJAPygHAAxxGa8J1u2SEGfO+QC/nsC8IPvPkCMsG8WyN59LW8CYtnyvuMASGKU\nAyAGWPYGhc8/qqDvn+Rq1PYdB0CSoxwAntnu3QqHPSTX8TK5k07zHQcAKAeAT2Yme/kpudrHynW4\n1HccAJBEOQC8sg/fla1bLffbW7k0MoCYQTkAPLGF82Xvv5V3aeQyZXzHAYB8lAPAA8veoHDE4wr6\n3ilXrabvOABQAOUAKGG2Z7fCYYPkLrhcrmkz33EA4ACUA6AEmZnsleFyterKte/iOw4AHBTlAChB\nNuM92eplctcxARFA7KIcACXEli3KuwLizf3lypT1HQcADolyAJQA25Kr8Nl/Kuh1m1yNOr7jAMBh\nUQ6AKLN9+xQ++4hcm/ZyzU73HQcAjohyAESZjX9JKlNO7uIevqMAQEQoB0AU2ZczZXM/y1tQiSWY\nAcQJvlsBUWLffatwzDMKbrxHrkKa7zgAEDHKARAFtusHhcMflrv8OrnjjvcdBwAKhXIAFDMzk41+\nSq5REwVnd/QdBwAKjXIAFDP7aKLs+7VyPW/wHQUAioRyABQjW7ZI9p9xefMMUllpEUB8ohwAxcS2\nbVX43D8VXHerXPVavuMAQJFRDoBiYGGocMRjcqefLXfqmb7jAMBRoRwAxcAmvSHt2S3X9be+owDA\nUaMcAEfJFs6XTX9PwR/+LFeqlO84AHDUKAfAUbDN2QpHPKGgzx1ylav6jgMAxYJyABSR7d+v8PnB\ncuddKNe0me84AFBsKAdAEdm7r0mlSstddJXvKABQrCgHQBHYgjmyT6cq6PMnuSDFdxwAKFaUA6CQ\nLGeTwpFDFPS9U65SZd9xAKDYUQ6AQsifZ9DuYrkmJ/uOAwBRQTkACsEmjJFSU+U6Xek7CgBEDeUA\niJAtmCP770c/zjPgvw6AxMV3OCACtjlH4aihecWAeQYAEhzlADgCC/crfOExuXMukDvx177jAEDU\nUQ6AI7CvWDQAAAAgAElEQVRJb0hmchd39x0FAEoE5QA4DPtmgWzapLzTFrmeAYAkQTkADsG2bVU4\n4nEFvf8oV4V1EwAkD8oBcBBmpvClf8mdfrbcKS18xwGAEkU5AA7CPpoobcmVu+xa31EAoMRRDoBf\nsNXLZBPHKvj9XXKlSvuOAwAljnIA/Izt+kHhc4PlevxerkZt33EAwItSkW5oZpo6dapmzZqlbdu2\nafDgwcrKytLmzZt11llnRTMjUGLstefkjj9RwZnn+o4CAN5EvOdg7NixmjZtmtq3b69NmzZJkqpW\nraoJEyZELRxQksLPZ8iWL5K7+g++owCAVxGXgxkzZujuu+9W69at5ZyTJNWoUUMbNmyIWjigpNjG\n9bKxL+TNMyhbznccAPAq4nIQhqHKli1b4L5du3YdcB8Qb2z/j5dH7nSlXP3jfccBAO8iLgennnqq\nRo8erb1790rKm4MwduxYtWjBOeCIbzbxdalcebnzL/EdBQBiQsTloFevXsrNzVXv3r21c+dOXXfd\nddq4caOuueaaaOYDosoWL5B98oGC629nGWYA+FFEZyuYmbZt26Y//elP2r59uzZu3Khq1aqpcmWW\nrkX8sh3bFY54QkGvfnLHVPEdBwBiRkQ/KjnndNddd8k5p2OOOUaNGzemGCCumZns5aflTmsld0pL\n33EAIKZEfJ2DBg0a6LvvvlPdunWjFmbevHkaNWqUzExt27ZV165dD9jmxRdf1Lx581SmTBndcsst\natCgQdTyIHHZp1Nl69co6HOH7ygAEHMiLgcZGRl66KGHdO6556patWoFHmvXrt1RBwnDUCNGjNCA\nAQNUpUoV9e/fX6effnqBMjJ37lx9//33+te//qUlS5bo+eef1z/+8Y+jfm8kF9uwTvbmKAV3/UOu\ndKrvOAAQcyIuB998841q1KihhQsXHvBYcZSDpUuXqnbt2qpevbokqXXr1po9e3aBcjB79myde27e\nletOOOEE7dy5U5s3b+YQByJm+/YpfOFxuYu7y9U9znccAIhJEZeD+++/P5o5lJOTo6pVq+bfTk9P\n19KlS4+4TU5ODuUAEbP/jJXKV5Brd7HvKAAQsyIuB5K0fft2ffXVV8rJyVF6erpatGihihUrRisb\nUKxsSZbs48kK7huSf5VPAMCBIi4Hixcv1qBBg1S3bl1Vq1ZNc+bM0ahRo9S/f3/96le/Ouog6enp\n+Ws2SMovIL/cJjs7O/92dnb2Adv8JDMzU5mZmfm3u3XrprS0tKPOiUNLTU2N2TG2ndu1beQQVfjD\nXSp9bPweTojlMU4UjHHJYJxLxrhx4/K/zsjIUEZGRkTPi7gcjBo1Sn379lXr1q3z7/v00081cuRI\nDRo0qBBRD65x48Zav369Nm7cqCpVqmjWrFn64x//WGCbli1bavLkyTrrrLO0ePFiVahQ4ZCHFA42\nCNu2bTvqnDi0tLS0mB3jcMQTUtNm2tXk19oVoxkjEctjnCgY45LBOEdfWlqaunXrVqTnRlwOvvvu\nO/3mN78pcF+rVq30/PPPF+mNfykIAvXp00cPPvigzEzt2rVTvXr1NGXKFDnn1L59ezVv3lxz585V\nv379VLZsWd10003F8t5IbPblTNnybxQMGOI7CgDEhYjLQa1atfTpp5+qTZs2+ff997//Vc2aNYst\nzKmnnqqhQ4cWuK9Dhw4Fbvfp06fY3g+Jz3KzFb76rIJ+98mVYZEwAIhExOWgd+/eevjhh/Xee++p\nWrVq2rhxo7777jvdc8890cwHFJmFocJRQ+XOu0iu4dHPiwGAZBFxOWjSpImefPJJzZkzR7m5uWrR\nooWaN2/O2QqIWTbtP9IPO+U6F+2YGwAkq4jLQU5OjlJTU3XOOefk37d9+/aDnlUA+GbrVssmjlXQ\n/59yKSm+4wBAXIl4jdpHH31UOTk5Be7LycnR4MGDiz0UcDRs316FIx6Xu+y3cjXq+I4DAHEn4nKw\nbt061a9fv8B99evX19q1a4s9FHA07N9jpcpV5c7u6DsKAMSliMtBpUqVtH79+gL3rV+/notYIKbY\nskWymR8o6HUrV0EEgCKKeM5B27Zt9dhjj6lHjx6qWbOm1q9fr7FjxxbLoktAcbDduxS++ISCa26U\nq1TFdxwAiFsRl4OuXbuqVKlSevnll5Wdna1q1aqpXbt26ty5czTzARGzN0fKHX+iXPOzfEcBgLgW\ncTnIyspSq1at1KVLF+Xm5mrMmDH69ttvtXXrVlZFhHe2YI7sf18quH/okTcGABxWxHMORowYoSDI\n23z06NHav3+/nHN69tlnoxYOiITt2KbwpScV9L5NrjzX3QCAo1Wo6xxUq1ZN+/fv17x58zR8+HCV\nKlVKN9xwQzTzAUdkrz4r1+IsuabNfEcBgIQQ8Z6DcuXKafPmzcrKytKxxx6rsmXzrlO/b9++qIUD\njsS+nClbtUzusut8RwGAhBHxnoMLL7xQ/fv31759+9S7d29J0qJFi1S3bt1oZQMOy7bmKnztOQU3\n3ytXpozvOACQMAp1tsIZZ5yhIAhUq1YtSVJ6erpuvPHGqIUDDsXMFI5+Wq5NB7njT/QdBwASSsTl\nQJLq1Klz2NtASbH/TpOyN8jdcLfvKACQcCKecwDECsvZKHtzpILf3SFXurTvOACQcCgHiCtmpvCl\np+TOv0Tu2Ia+4wBAQqIcIK7YJ5OlHdvkLrzCdxQASFiUA8QN2/S97O1XFPzudrmUFN9xACBhUQ4Q\nFywMFb70pNwFl8nVqX/kJwAAioxygLhgM96X9uyW69jVdxQASHiUA8Q827he9u6rCq7/o1zA4QQA\niDbKAWKahaHCUUPlOl0pV6ue7zgAkBQoB4hpNu0/UhjKtb/EdxQASBqUA8Qs2/CdbOLrCnrdxuEE\nAChBlAPEpPyzEzpdKVeLxb0AoCRRDhCTbMb70r69cu27+I4CAEmHcoCYk3d2whgFvTk7AQB8oBwg\npuQtxfyU3AWXy9Xm7AQA8IFygJhiH0+Wdv0g14GLHQGAL5QDxAzL3ih755W8wwmsnQAA3lAOEBPM\nTOErT+ctxVyXtRMAwCfKAWKC/XeatDmXpZgBIAZQDuCdbcmVvTlSQe/b5EqV8h0HAJIe5QDeha8+\nI9emg9xxx/uOAgAQ5QCe2VezpHXfyl3Sw3cUAMCPKAfwxrZvVfjacwp69ZMrneo7DgDgR5QDeGPj\nRsi1aC3XuKnvKACAn6EcwAtbMEe2OFPust/6jgIA+AXKAUqc7fpB4SvDFFx7s1zZcr7jAAB+gXKA\nEmfvvCL3qwy5k5v7jgIAOAjKAUqULVsk+3KmXLc+vqMAAA6BcoASY3v3KnzpSbnuv5erWMl3HADA\nIVAOUGLsvTekGrXlWrb2HQUAcBiUA5QIW7daNm2Sgp43yjnnOw4A4DAoB4g6C0OFo5+S69JTLr2a\n7zgAgCOgHCDq7OP3JUnu3As9JwEARIJygKiy3GzZhFcVXHerXMA/NwCIB3y3RlSFrz4rd95FcnXq\n+44CAIgQ5QBRY3M+ldavkbvoKt9RAACFQDlAVNjO7Qpfez7vcELp0r7jAAAKgXKAqLDxo+V+3VLu\nhJN8RwEAFBLlAMXOli6Uzf9C7opevqMAAIqAcoBiZfv2Knz5ablufeXKV/QdBwBQBJQDFCub/LZU\ntQaXSAaAOEY5QLHZv36t7MMJCnrewCWSASCOUQ5QLMxMP7zwuFynK+Wq1fQdBwBwFCgHKBb22XTZ\n9m1y53fxHQUAcJQoBzhqtn2r7M2RKvf7O+VSUnzHAQAcJcoBjpq99ZJcyzYqdXwT31EAAMWAcoCj\nYoszZQvmyHW91ncUAEAxoRygyGzfXoWvDFPQo69cufK+4wAAignlAEVmH7wjVaspNT/LdxQAQDGi\nHKBIbON62ZR3uKYBACQgygEKzcwUvvqMXMfLuaYBACQgygEK76tZUs4muQ6X+k4CAIgCygEKxX7Y\nqXDsCAXX3ixXqpTvOACAKKAcoFDs3VflMk6VO+Ek31EAAFFCOUDEbPVy2ecz5K643ncUAEAUUQ4Q\nEQtDhWOGy132W7m0Sr7jAACiiHKAiNjMDyTn5Fq39x0FABBllAMckW3dLHtnjIJrb5IL+CcDAImO\n7/Q4IntzlFyr8+TqNfQdBQBQAigHOCxbkiVbOF+uy9W+owAASgjlAIdk+/fnTULs1keuLAsrAUCy\noBzgkOyjiVKlynItW/uOAgAoQZQDHJTlZssmjWNhJQBIQpQDHJS98aLcOZ3katXzHQUAUMIoBziA\nLZwvW/6N3EVX+Y4CAPCAcoACbN9eha8+o6DH7+XKlPEdBwDgAeUABdiUd6XqteVOPdN3FACAJ5QD\n5LOcjbIPxiu4+g++owAAPKIcIJ+Ne1HuvM5y1Wv5jgIA8IhyAEmSZc2TrVwi1+kK31EAAJ5RDpA3\nCfG1ZxX06CuXyiREAEh2lAPIPsybhKhmTEIEAFAOkp7lbJJNHp+314ArIQIARDlIevbmSLlzO8nV\nqOM7CgAgRlAOkph987Vs2SK5TlwJEQDw/1EOkpTt36/wtecUdOvDlRABAAVQDpKUTZ8kVaosNf+N\n7ygAgBhDOUhCtnWzbOLYvPUTmIQIAPgFykESsvGj5c5qJ1envu8oAIAYRDlIMrZisSxzjtzFPXxH\nAQDEKMpBErEwVPjqs3KX95IrV953HABAjKIcJBH7dKqUkiLX6jzfUQAAMYxykCRs5w7ZO68ouPoP\nTEIEABwW5SBJ2MTX5X59utxxjX1HAQDEOMpBErDvvpX9d5pc12t9RwEAxAHKQYIzM4WvvyDX+Sq5\nSpV9xwEAxAHKQaKb/4WUu0nuvM6+kwAA4gTlIIHZ3j0Kx43IW465VCnfcQAAcYJykMBsygSpbgO5\nk07zHQUAEEdi4sfJ7du3a8iQIdq4caNq1KihO+64Q+XLH3iRnltuuUXly5eXc04pKSkaNGiQh7Tx\nwXKzZVPeUXDvY76jAADiTEyUg3feeUennHKKLr30Ur3zzjt6++23dc011xywnXNO999/vypWrOgh\nZXyx8aPlzr5Arnot31EAAHEmJg4rfPnllzr33HMlSeedd55mz5590O3MTGZWktHiki1bJFs0X+6i\nK31HAQDEoZjYc7BlyxZVrpx3ml3lypW1ZcuWg27nnNODDz6oIAh0/vnnq3379iUZMy5YGCoc+4Lc\nZdfJlWX9BABA4ZVYOXjggQcKfOibmZxz6tHjwNUBD3V53wceeEBVqlTR1q1b9cADD6hevXo68cQT\nD7ptZmamMjMz829369ZNaWlpR/mniH17Pp6s3UGgih0ukQtKdsdQampqUoyxT4xx9DHGJYNxLhnj\nxo3L/zojI0MZGRkRPa/EysF99913yMcqV66szZs35/9+zDHHHHS7KlWqSJIqVaqkM844Q0uXLj1k\nOTjYIGzbtq2I6eOD7dqp8NXnFNx4j7bv2FHi75+WlpbwY+wbYxx9jHHJYJyjLy0tTd26dSvSc2Ni\nzkGLFi00ffp0SdL06dPVsmXLA7bZvXu3du3aJUnatWuX/ve//+nYY48tyZgxzya9KXdiM7njD16Y\nAACIREzMOejataueeOIJTZs2TdWrV9cdd9whScrNzdWzzz6re+65R1u2bNGjjz4q55z279+vs88+\nW82aNfOcPHbYxvWyjycruP9fvqMAAOKcsySa/r9u3TrfEaJm//CH5Y5tqODi7t4ysJsw+hjj6GOM\nSwbjHH116tQp8nNj4rACjo59s0BauUSuY1ffUQAACYByEOcs3K9w3AtyV/aWSy3jOw4AIAFQDuKc\nffqRVDpVrmUb31EAAAmCchDH7IedsnfGKOj++0NeGwIAgMKiHMQxe+8NuZOayTU8wXcUAEACoRzE\nqbxTFz+Qu/w631EAAAmGchCnwrdGybW/RK5yVd9RAAAJhnIQh2xJlrRisVyHy3xHAQAkIMpBnCmw\n6mIZTl0EABQ/ykGcsS9mSM7JnXGO7ygAgARFOYgjtnu3bPzLCrr3KfHlmAEAyYNPmDhiH7wtd/yJ\nco1P8h0FAJDAKAdxwjZny6b+W+6KXr6jAAASHOUgTtg7r8id3VGuWk3fUQAACY5yEAds9XLZ11/J\nXXSV7ygAgCRAOYhxZqbwjRflLukhV6687zgAgCRAOYh1//tS2pIrd/YFvpMAAJIE5SCG2b59Ct8c\nqeDK3nIpKb7jAACSBOUghtknH0hVqkqntPQdBQCQRCgHMcp27pBNfF3BVb+Tc853HABAEqEcxCh7\n7025U1rIHdvQdxQAQJKhHMQgy94g++QDua7X+o4CAEhClIMYZONflmvbWa5yVd9RAABJiHIQY2zl\nEtk3X8tdcJnvKACAJEU5iCF5FzwaKdflarmy5XzHAQAkKcpBLPnfbGnbFrnW7X0nAQAkMcpBjLD9\n+xW+OUrBVddzwSMAgFeUgxhhn3wgVU6XTm7hOwoAIMlRDmKA7dr54wWPrueCRwAA7ygHMcDeHy/X\n9FS5+sf7jgIAAOXAN9ucLZv+Hhc8AgDEDMqBZ/bua3Jnd5SrWt13FAAAJFEOvLK1q2XzPpfrdIXv\nKAAA5KMceBSOf0mu05Vy5Sv6jgIAQD7KgSf2zQJp7Sq58y7yHQUAgAIoBx6YmcI3R8pd9lu50qV9\nxwEAoADKgQf25SzJTO70s31HAQDgAJSDEmb79sreHq3gil5yAcMPAIg9fDqVMJsxWapZR65pM99R\nAAA4KMpBCbIfdsomjVNwRS/fUQAAOCTKQQmyD96WyzhNrl5D31EAADgkykEJsc05smmT5C69xncU\nAAAOi3JQQmzi63Ktz5erWsN3FAAADotyUAJs/RrZV5/KdbrSdxQAAI6IclACwrdfket4mVzFSr6j\nAABwRJSDKLNli6QVi+XOv9h3FAAAIkI5iCIzy1tc6ZIecqllfMcBACAilINoWjBH2rZV7qzzfScB\nACBilIMosTBUOH60gst+K5eS4jsOAAARoxxEiX3xsZSaKp16pu8oAAAUCuUgCmzfXtmEMQou7yXn\nnO84AAAUCuUgCmzGZKlWPbkmJ/uOAgBAoVEOipnt+nFxpcuv8x0FAIAioRwUM/tgglzTZnLHsrgS\nACA+UQ6KkW3bIvtoIosrAQDiGuWgGNmkN+TOOFuuei3fUQAAKDLKQTGx7I2y/06Tu7i77ygAABwV\nykExsX+/KnduJ7lKVXxHAQDgqFAOioF9963sf1/KXXCZ7ygAABw1ykExCN95Re6Cy+TKV/AdBQCA\no0Y5OEq2Yom0fLFc286+owAAUCwoB0cpfHu03CXdWZIZAJAwKAdHwbLmSdkb5c5q7zsKAADFhnJQ\nRGam8O2X5S7tKVeqlO84AAAUG8pBUc37XNq3T65lG99JAAAoVpSDIrBwv8J3XlFw2bVyAUMIAEgs\nfLIVgX3xsVSuvHRKS99RAAAodpSDQrJ9e2XvvqbgsuvknPMdBwCAYkc5KCSb+aFUvbZck5N9RwEA\nICooB4Vge3bL/jNWwWXX+o4CAEDUUA4KwaZNkho1kWtwgu8oAABEDeUgQvbDTtnk8QouvcZ3FAAA\noopyECGbMkEuo7lcnfq+owAAEFWUgwjY9q2yaRPlLunhOwoAAFFHOYiATX5brvlZcjVq+44CAEDU\nUQ6OwLbkyj75QK5zd99RAAAoEZSDI7BJb8j9pq1cejXfUQAAKBGUg8Ow7I2yz2fIdbrCdxQAAEoM\n5eAw7D9j5c65QK5SFd9RAAAoMZSDQ7Dv18nm/lfugst9RwEAoERRDg7B/v2a3PmXyFWo6DsKAAAl\ninJwELZutSxrnlz7Lr6jAABQ4igHB2HvvibXsatc2fK+owAAUOIoB79gq5fLlmbJte3sOwoAAF5Q\nDn4hfPdVuQsvlytT1ncUAAC8oBz8jK1YIq1aJnduJ99RAADwhnLwM+GEV+Q6XyVXOtV3FAAAvKEc\n/MiWZknr18q16eA7CgAAXlEOfhS+M0aucze5UqV9RwEAwCvKgSRb9D8pZ6Pcb9r5jgIAgHdJXw7M\nLO8MhUuulitVynccAAC8S/pyoIXzpW1b5M44x3cSAABiQlKXg/y9Bhf3kEtJ8R0HAICYkNTlQJlz\npJ075E5v4zsJAAAxI2nLgZkpnPCqgi5XywXsNQAA4CdJWw70vy+lvXuk5mf5TgIAQExJynKQN9dg\njIIuPeWCpBwCAAAOKTk/Ged9nvf7aa385gAAIAYlZzmoVlNBzxvlnPOdBACAmJOUV/1xxzb0HQEA\ngJiVnHsOAADAIVEOAABAAZQDAABQQEzMOfjss8/0xhtvaM2aNRo0aJAaNWp00O3mzZunUaNGyczU\ntm1bde3atYSTAgCQ+GJiz0H9+vV111136aSTTjrkNmEYasSIEfrLX/6ixx57TLNmzdLatWtLMCUA\nAMkhJvYc1KlT54jbLF26VLVr11b16tUlSa1bt9bs2bNVt27daMcDACCpxMSeg0jk5OSoatWq+bfT\n09OVk5PjMREAAImpxPYcPPDAA9qyZUv+bTOTc049evRQy5Yti/39MjMzlZmZmX+7W7duEe2hwNFJ\nS0vzHSHhMcbRxxiXDMY5+saNG5f/dUZGhjIyMiJ6XomVg/vuu++onp+enq5Nmzbl387JyVF6evoh\nt//lIIwbN07dunU7qgw4PMY4+hjj6GOMSwbjHH1HM8Zxc1ihcePGWr9+vTZu3Kh9+/Zp1qxZUdnj\nAABAsouJCYlffPGFRo4cqa1bt+rhhx9WgwYNdO+99yo3N1fPPvus7rnnHgVBoD59+ujBBx+Umald\nu3aqV6+e7+gAACQcZ2bmO0RJyMzMjPhYC4qGMY4+xjj6GOOSwThH39GMcdKUAwAAEJm4mXMAAABK\nBuUAAAAUQDkAAAAFxMTZCsUlkoWZXnzxRc2bN09lypTRLbfcogYNGpR80Dh2pDGeOXOmJkyYIEkq\nW7asfv/736t+/fo+osa1SBcZW7p0qe677z7dfvvtOvPMM0s4ZXyLZIwzMzP10ksvaf/+/apUqZLu\nv/9+D0nj15HGeOfOnXryySe1adMmhWGoSy65ROedd56fsHFq+PDhmjNnjo455hgNHjz4oNsU6XPP\nEsT+/fvt1ltvtQ0bNtjevXvtrrvusjVr1hTYZs6cOfbQQw+ZmdnixYvt3nvv9RE1bkUyxt98843t\n2LHDzMzmzp3LGBdBJOP803YDBw60QYMG2WeffeYhafyKZIx37Nhhd9xxh2VnZ5uZ2ZYtW3xEjVuR\njPH48eNtzJgxZpY3vtdff73t27fPR9y4tXDhQluxYoXdeeedB328qJ97CXNY4ecLM5UqVSp/Yaaf\nmz17ts4991xJ0gknnKCdO3dq8+bNPuLGpUjG+Fe/+pXKly8vKW+MWf+i8CIZZ0l6//331apVK1Wq\nVMlDyvgWyRjPnDlTZ555Zv6VWBnnwolkjJ1z+uGHHyRJu3btUlpamlJSUnzEjVsnnniiKlSocMjH\ni/q5lzDlIJKFmVi86egUdvymTp2qU089tSSiJZRI/y3Pnj1bHTt2LOl4CSGSMV63bp22b9+ugQMH\nqn///vr4449LOmZci2SML7zwQq1Zs0Y33HCD/vznP6t3794lnDLxFfVzL2HKAWLLggULNH36dF1z\nzTW+oySkUaNGFRhb43IlxS4MQ61YsUL9+/fXvffeq7feekvr16/3HSuhzJs3Tw0bNtSzzz6rRx55\nRCNGjNCuXbt8x4ISaEJiJAszpaenKzs7O/92dnb2YRdvQkGRLn61atUqPffcc7r33ntVsWLFkoyY\nECIZ5+XLl2vIkCEyM23btk1z585VqVKlWG8kQpF+v0hLS1NqaqpSU1PVtGlTrVy5UrVq1SrpuHEp\nkjGePn16/iTFWrVqqUaNGlq7dq2OP/74Es2ayIr6uZcwew4iWZipZcuWmjFjhiRp8eLFqlChgipX\nruwjblyKZIw3bdqkxx57TLfeeivfRIsoknF+6qmn9NRTT+npp59Wq1at1LdvX4pBIUQyxqeffroW\nLVqkMAy1e/duLVmyhPVcCiGSMa5WrZq+/vprSdLmzZv13XffqWbNmj7ixjUzO+Tew6J+7iXU5ZPn\nzZunkSNH5i/M1LVrV02ZMkXOObVv316SNGLECM2bN09ly5bVTTfdpEaNGnlOHV+ONMbPPPOMvvji\nC1WvXl1mppSUFA0aNMh37LgTyb/lnwwbNkwtWrTgVMZCimSM3333XU2fPl1BEOj8889Xp06dPKeO\nL0ca49zcXA0bNky5ubmSpK5du6pNmzaeU8eXoUOHKisrS9u2bdMxxxyjbt26ad++fUf9uZdQ5QAA\nABy9hDmsAAAAigflAAAAFEA5AAAABVAOAABAAZQDAABQAOUAAAAUQDkAcERDhw7Vl19+GZXXfuON\nN/Tkk08W6bnTp0/XgAEDDvn4oEGD8tdE+OW21113nTZs2FCk933sscc0b968Ij0XiAeUAyCJDRs2\nTGPHjj3sNqtXr9bq1aujegVG51xUntu/f3+dc845B9129OjRqlGjhqTIxuHnLr30Ur3++utFSAvE\nB8oBECPCMIzJ95syZcpRXbUuEa+z1rhxY/3www9avny57yhAVCTMwktAPLrlllvUsWNHzZw5U+vW\nrdPLL7+sLVu26MUXX9TChQtVrlw5XXTRRfmX7X3jjTf07bffKggCzZ07V7Vr19ZNN92k4447TpK0\ndu1avfDCC1q5cqXS09N19dVX5//EP2zYMKWmpmrjxo1auHChrrvuOn3yyScKgkCTJk1SRkaG/u//\n/u+AjPPmzdOtt96af3v69OmaOnWqGjZsqI8//lhVqlRRnz59dPLJJ0uSBg4cqCZNmigzM1MrV67U\n4MGDlZqaqueff16LFi1SWlqaunTpovPPPz//Nffs2fP/2rubkKi+N4Dj37k52FSWOpP40sJKRSMo\nZbRymCZm2hQS0ZuLCBqMatELYvRCREQrycDGVSZTtiiiTULWIspiUCNqpBdd+FLZJKJOo2XlmHj9\nL5ouv5kAAAWKSURBVMLL75am9uOfv+T5rMZzz5nznLuZx3vOuYfS0tIxx3Tr1i3u37/Pp0+fsFgs\n5Ofnk5OTo7VVVRWv1ztuLHa7HafT+dO48vPz8Xg8vHz58qf7kJ6eTktLC0VFRVp9r9eLoijascLL\nli3D7/fLK9jFjCRPDoSYZnV1dZw4cYIrV65gMBgoLi5m8eLFlJeXc+rUKe7cucOLFy+0+k+fPiU3\nN5fLly9js9k4d+4cqqoyPDxMcXExK1asoKKiArfbTVlZGZ2dnVrb2tpatm7dytWrV3E4HNjtdjZt\n2kRlZeWYicHg4CDd3d0kJibqyltbW4mPj8fr9bJ9+3ZKSkr48uWLdt3n87F//34qKyuxWCyUlpZi\nsVgoLy+nsLCQ69ev09jYOOGY4PtpfWfPnqWyspJt27ZRVlZGX1/fpGOZyPr163+6D2vXruX58+d8\n/foV+J6A1NfXs27dOq1dUlIS7e3tk+5HiL+JJAdCTLMNGzYQGxuL0Wikra2N/v5+tmzZgqIoxMXF\n4XK5qK2t1eovWbKEnJwcFEUhLy+PoaEhmpubaWlpYXBwkM2bNzNr1iyWL19OVlaWrq3VaiUtLQ0A\no9E4YWyjP7Imk0lXvmDBAjZu3IiiKOTm5pKYmIjf79euOxwOkpKSUBSFvr4+mpub2blzJxERESQn\nJ+N0OrWT4n41JoDVq1drp8itWbOGhIQEWltbJx3L74iOjiYjI4PHjx8D0NDQwPz580lOTtbqmEwm\nLXkQYqaRaQUhppnZbNY+9/T0EAqFcLvdWpmqqmRkZIxZ32AwEBsbS29vLyMjI7prAAsXLiQUCo3Z\ndjLmzp0LwMDAAFFRUVr5j+fBWywW7WS90b9H9fb2Mm/ePCIjI3VxvXnzZsIxATx69Ijq6mp6enoA\nCIfD9Pf3TzqW3+VwOLh37x5OpxOfz4fdbtddHxgYYM6cOf+6HyH+iyQ5EGKa/XMFvdlsJi4ujgsX\nLoxb/8OHD9rnkZERQqEQMTExAASDQV3dYDComxKY6q6AyMhI4uPj6ezs1CUH/0w4RmPKzs4e8zti\nYmL4/Pkz4XCY2bNna3GNxvyrMQWDQcrLyzl9+rT2xOPo0aO6RY5TiWUqsrOzqaioIBAI4Pf72bVr\nl+56R0eHti5CiJlGphWE+A9JSUnBZDJRVVXFt2/fUFWVQCBAW1ubVuf169c8efIEVVWprq7GaDSS\nlpZGSkoKkZGRVFVVMTw8TGNjI8+ePcNms43bX3R0NF1dXb+MKTMzk6amJl3Zx48fuXv3LsPDw9TX\n19PR0UFWVtaY7c1mM2lpaVy7do2hoSHa29t58OCBbovheGMKh8MYDAaioqJQVZWamhoCgcBvxzKV\n+2A0Glm1ahUej4fU1NSfnro0NTWRmZk5pX6E+FtIciDENPrxP3lFUTh+/Dhv377lwIED7Nmzh4sX\nLzIwMKDVsVqt1NXV4Xa78fl8HDlyBEVRiIiI4NixYzQ0NFBQUIDX6+XgwYMkJCSM27/T6eT9+/e4\n3W5KSkrGrONyufD5fLqy1NRUOjs7KSgo4MaNGxQVFWlTEGM5fPgw3d3d7Nu3j/Pnz5Ofn6/tKPjV\nmBYtWkReXh4nT55k7969BAIB0tPT/1UsU7kPDoeDd+/e6RIZ+L4I0mQysXTp0in1I8TfwjAyEzch\nCzFD3bx5k66uLt3Wwj/B4/GQm5uL1Wrl4cOH1NTUcObMmT8aw3QIBoMUFhZy6dIlbUoEvr8h0eVy\nsXLlymmMToj/H1lzIISY0KFDh6Y7hD9OVVVu376NzWbTJQaA7v0HQsxEMq0ghBA/GBwcZPfu3bx6\n9YodO3ZMdzhC/HEyrSCEEEIIHXlyIIQQQggdSQ6EEEIIoSPJgRBCCCF0JDkQQgghhI4kB0IIIYTQ\n+R/WX/1C97b+xQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11110ffd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8,8))\n",
"plt.plot(prob_range, quad_scores, label='quadratic score')\n",
"plt.title('Quadratic score')\n",
"plt.xlabel('report (probability)')\n",
"plt.ylabel('score')\n",
"#ax.set_yscale('symlog')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"### And expected scores.."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def expectedQuadScore(q, true_p):\n",
" # q is reported belief probability\n",
" p = true_p # true event probability\n",
" #expected_log_score = p*math.log(q) + (1 - p)*math.log(1-q)\n",
" expected_quad_score = p*quadraticScore(q) + (1-p)*quadraticScore(1-q)\n",
" return expected_quad_score"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def plotExpectedQuadraticScores(true_p):\n",
" prob_range = np.linspace(0.01, 0.99, num=99)\n",
" prob_range_rounded = [round(p, 2) for p in prob_range]\n",
" expected_quadratic_scores = [expectedQuadScore(q, true_p=true_p) for q in prob_range_rounded]\n",
" hi_score_ix = np.argmax(expected_quadratic_scores)\n",
" true_p_ix = prob_range_rounded.index(true_p)\n",
" # make plot\n",
" fig, ax = plt.subplots(figsize=(8,8))\n",
" plt.plot(prob_range_rounded, expected_quadratic_scores, label='expected quadratic score')\n",
" score_max = plt.scatter(prob_range_rounded[hi_score_ix], expected_quadratic_scores[hi_score_ix], s=120, color=\"green\", alpha=0.5)\n",
" score_true = plt.scatter(prob_range_rounded[true_p_ix], expected_quadratic_scores[true_p_ix], s=60, color=\"blue\", alpha=0.5)\n",
" plt.title('Expected quadratic scores when true probability='+str(true_p))\n",
" plt.ylabel('expected score')\n",
" plt.xlabel('report (probability)')\n",
" #ax.set_yscale('symlog')\n",
" score_max_label = 'Max expected score ' + str(expected_quadratic_scores[hi_score_ix]) + ' for reporting p=' + str(prob_range_rounded[hi_score_ix])\n",
" score_true_label = 'Truthful expected score ' + str(expected_quadratic_scores[true_p_ix]) + ' for reporting p=' + str(prob_range_rounded[true_p_ix])\n",
" plt.legend((score_max, score_true),\n",
" (score_max_label, score_true_label),\n",
" scatterpoints=1,\n",
" #bbox_to_anchor=(0.0, -0.2, 1., .102),\n",
" loc=\"best\",\n",
" fontsize=8)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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+CiMjI9jb22P+/Pn4448/sG3bNjg5OcHKygqLFy+W9+Hi4oKAgAAIgoBRo0Zh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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11090c358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotExpectedQuadraticScores(true_p=0.05)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Wli9fjg0bNsDOzg7NmjXTq+eFCxfg4+OjjEhLRFi5ciWCg4NhZmYGIsI333yD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\nLAdERERk4/8DOWgjEQU7N3wAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110e48be0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotExpectedQuadraticScores(true_p=0.5)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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FxQVBT0Pvne30NPRw7dk11DGv8862mpqa0NbWxvXr11GtWjX5BmxOTk7yL11P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"text/plain": [
"<matplotlib.figure.Figure at 0x1111ce438>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotExpectedQuadraticScores(true_p=0.85)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"The quadratic scoring rule is proper (in other words, *incentive compatible*) because **truthful reports earn the maximum expected score**."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"### Now let's look at expected scores of Casper bets"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#https://github.com/ethereum/pyethereum/blob/serenity/ethereum/casper.se.py#L307-L313\n",
"#\n",
"#with invBlockOdds = 10**18 / blockOdds:\n",
"# if blockHashInfo >= 2 and blockHashInfo % 2: # block hashes match, and there is a block\n",
"# profitFactor = scoreCorrect(logBlockOdds, blockOdds) + scoreIncorrect(invBlockOdds)\n",
"# elif blockHashInfo < 2: # there is no block\n",
"# profitFactor = scoreCorrect(256 - logBlockOdds, invBlockOdds) + scoreIncorrect(blockOdds)\n",
"# else: # block hashes do not match, there is a block\n",
"# profitFactor = scoreIncorrect(blockOdds) + scoreIncorrect(invBlockOdds)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def expectedBetScore(q, true_p, wrong=\"noblock\"):\n",
" # two ways for a bet to be wrong: \"different\" (realized block is a different block)\n",
" # or \"noblock\" (realized block is a null block)\n",
" p = true_p # true probability\n",
" #log_q = encode_prob(q)\n",
" log_q = q\n",
" score_correct = scoreBetOnBlock(log_q, event=\"same\")\n",
" score_wrong = scoreBetOnBlock(log_q, event=wrong)\n",
" expected_score = p*score_correct + (1 - p)*score_wrong\n",
" return expected_score"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def plotExpectedScores(true_p, wrong=\"noblock\"):\n",
" true_p_log = encode_prob(true_p)\n",
" # two ways to be wrong: \"different\" (hashes don't match) or \"noblock\" (null block)\n",
" #prob_range = np.linspace(0.01, 0.99, num=99)\n",
" #prob_range = [round(p, 2) for p in prob_range]\n",
" # 0.9999999999 needed to get log score of 255\n",
" # 0.0000000001 needed to get log score of 0\n",
" # add 0.001 .. 0.0000000001 to probabilities\n",
" #prob_range = np.append([10**(-x) for x in range(3, 11)][::-1], prob_range)\n",
" # add 0.999 .. 0.9999999999 to probabilities\n",
" #prob_range = np.append(prob_range, [(1 - 10**(-x)) for x in range(3, 11)][::-1]).tolist()\n",
" log_odds_range = [i for i in range(0, 256)]\n",
" expected_block_scores = [expectedBetScore(q, true_p=true_p, wrong=wrong) for q in log_odds_range]\n",
" hi_score_ix = np.argmax(expected_block_scores)\n",
" true_p_ix = log_odds_range.index(true_p_log)\n",
" # make plot\n",
" fig, ax = plt.subplots(figsize=(8,8))\n",
" plt.plot(log_odds_range, expected_block_scores, label='block score')\n",
" score_max = plt.scatter(log_odds_range[hi_score_ix], expected_block_scores[hi_score_ix], s=120, color=\"blue\")\n",
" score_true = plt.scatter(log_odds_range[true_p_ix], expected_block_scores[true_p_ix], s=60, color=\"green\")\n",
" plt.title('Expected scores when true probability='+str(true_p) + ' that block is correct, and '+wrong+ ' if not')\n",
" plt.ylabel('expected score')\n",
" plt.xlabel('reported probability')\n",
" ax.set_yscale('symlog')\n",
" if expected_block_scores[hi_score_ix] < 0:\n",
" y_max = 0\n",
" else:\n",
" y_max = expected_block_scores[hi_score_ix] * 1000\n",
" ax.set_ylim(ymax=y_max)\n",
" score_max_label = 'Max expected score ' + str(expected_block_scores[hi_score_ix]) + ' for reporting p=' + str(log_odds_range[hi_score_ix])\n",
" score_true_label = 'Truthful expected score ' + str(expected_block_scores[true_p_ix]) + ' for reporting p=' + str(log_odds_range[true_p_ix])\n",
" plt.legend((score_max, score_true),\n",
" (score_max_label, score_true_label),\n",
" scatterpoints=1,\n",
" bbox_to_anchor=(0., 1.02, 1., .102),\n",
" fontsize=8)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#plotExpectedScores(0.9999999999) # max prob input; encoded log-odds=255\n",
"#plotExpectedScores(0.0000000001) # min prob input; encoded log-odds=0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note: since the case when the realized block is different has scores that are suspect (see plot above: `plotScoringRule(event=\"different\")`), we'll only plot expected scores for the \"noblock\" case."
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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YtGkTbt26ha1bt2Lo0KF4+fIl7t27hxYtWsiUz4MHDzBp0iTk5+ejsLAQn3/+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vszZ85g+fLlGD58OCRJgiRJmD9/PnQ6ncePgZ5yLy8vV0T///nnn8jNzYXNZoMQApGRkZg1a1av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\njIiIiMgN/D+nUI9FXVlaqgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1111c10b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotExpectedScores(true_p=0.9, wrong=\"noblock\")"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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2iI+PR4sWLfD48WM0aNCAGyxaWVkZ6urqUFFR4QYFb9myJS5evAhvb28AQEZG\nBrS0tLiWDzs7O/zxxx8YPXo0zp07h88//5xbV9WhgWSDil+5coUbQLtDhw6IiIhAcnIyduzYUWMe\n09PTsWDBAmzdurXadgSABg0aVGuBad++fbW0b926hR07dnBBpWx9586dQ+/evZGYmAgLCws8fPgQ\n8+bNw6tXr5CWllZtvEwZfX19pKWloaysDA8fPuTyo0hrrpWVFebPnw89PT3eUEdV66OZmRni4uK4\n7TJ27FgA/9SDtzl+ysrKuNfjVG7tkrlz5w6ICLdu3eJaCUeMGMFrKRUIBAgODubKKm/gcQDQ0tKC\niooKrKyskJCQACKqVkeYusGCMoapxzytPPFn6p8oLCus9p0IIjibOP+rdGUXmcoXqJYtW+Lhw4cY\nOnQo90vdyMgIWVlZGDNmDBYsWFDr4Mnylq+6DqBiQOzvv/8ewcHBEAgEmDlzJiIiIhAQEICOHTvC\nz88Pjo6OACoGtd68eTO6dOkCfX19TJw4ET/88APy8/MhEomwdOlSjB8/HgEBAVi2bBk6deqE7777\nDgYGBhgzZgymT5+O4cOHw8vLCwKBANbW1pg7dy4GDBgAd3d3rk9VZVu3bsWxY8fw6tUrTJw4Ea1a\ntYKhoSE8PDygqqqK33//HVOnTsXYsWNRXl6OUaNGQSAQ8MrZu3dvzJgxgxu8esyYMXBxceG+DwsL\nQ2hoKPLz85Gbm4u5c+di3LhxCAgIwMuXLzFs2DAIhUKsXLkSly9fRmlpKQYNGgRVVVX06tULkydP\nhqenJ1xdXbmA8OjRo3Bzc+PWYWhoiLZt22LAgAFo0qQJvv32WwDgghtl5Yrhu4gIUqkUmpqaUFVV\n5fpLLV++HBcvXoSuri53609eHpcvX47s7GwMHz4cAoEAO3fuhL+/PwICAiAQCLjWvoyMDOzevRvf\nfvut3LR//vln5OTkYPDgwWjQoAE2bdoEHx8fjB8/HsHBwRg2bBhEIhFWr14NAEhLS8PKlSurBWSV\nW578/Pzg4eEBJSUlLFiwQG59lFdPp02bhkmTJqG4uBiqqqpcC2DV+ijbHqWlpejVqxf09fV56VQ9\nfuStS2bMmDHw9PREy5Yt5fY5bNCgAfz9/fH8+XOun1tNLWXFxcUYNmwYEhMTMWTIEPz44494/fo1\nfvnlF4hEIujq6mLlypVQUVGBt7c3PDw8oKury926ZuoOe3ksw9Sx2l4eS0SQHpLi0pNL1b5rrd8a\ne/vvhapF4egqAAAgAElEQVTo43yJ44QJExAYGIjGjRvXdVYY5r3Xx7KyMohEIqSnp2PWrFm8gCs1\nNRWrVq3iHqSpa+zlse8PayljmHpMIBAg1C0U3539DtezriPvdR7EymLY6NpgqePSjzYgA9hgy0z9\n8r7r4/79+xEWFobCwkLek6HMp4W1lDFMHVN0mKWXJS+R+SoT+ur60FZhHXIZhqkbrKXs/WEtZQzz\nP0JTWROWEsu6zgbDMAzznrD3lDEMwzAMw9QD7PYlw9Sx0tLSGl+ZwDAMU9+IRCIoKbEbbe8DC8oY\nhmEYhmHqAXb7kmEYhmEYph5gQRnDMAzDMEw9wIIyhmEYhmGYeoAFZQzDMAzDMPUAC8oYhmEYhmHq\nARaU1cLZ2Rlff/11XWejXjpz5gyEQiEeP35c11n5qL2rOigUCrFjx45a57GwsMAvv/xS47qHDx+O\nnj17/ue8/C8KCgpCs2bNPtj6QkJCuAHDa/I+jsF/s4+DgoLw2WefvbM8MP/ehzwvVz1fyPOur6Fp\naWkQCoW4cOHCWy1X9fyXn5+PAQMGQEdHByKRCA8ePHhnefyv3hiUDR8+HEKhECKRCEKhkPvT1q5/\nw7zMnz8fFhYWdZ2NT0Zdjk3I9vW7d/XqVQQEBNT4/apVqxAZGcl9Hj16NFxcXD5E1pCUlAQ3Nzdo\namrCwMAAY8eOxatXr9643IMHD+Dn5wcDAwOoq6vD2toahw4dqnH+9PR0CIVCnD17ttp376K+K7rN\nBAKBQuurD+ODfv/997h06VJdZ+ODqq2e1LX6UCfep39TvoyMDEilUu7z+vXrcfnyZVy4cAFPnjxB\nkyZN3mUWecLCwiAUKt7+pdDb37p164bIyEhUfqXZ26zkQyGij75ClpSUvPEX9KdA0X1dX7dXaWlp\nvXv5op6eXq3fi8XiD5QTvpcvX6J79+6ws7PDpUuX8OzZMwwfPhx5eXm1tv49fvwY9vb26N69Ow4f\nPoyGDRsiLS2t1h+Un8I55F3T0NCAhoZGXWeDp6bj612dD1g9qTv/5tWqhoaGvM9JSUmwtbWFjY3N\nu8pWjd62rigUWamoqMDAwACGhobcn76+PgDg+fPnMDU1xeTJk7n5nz59CmNjY8ycORPAP02qBw8e\nRKdOnaCuro5WrVrh1KlTvPXcu3cPUqkUDRo0gK6uLtzc3HDr1i3ePNeuXUPv3r0hkUggFothb2+P\nmJgYbN26FbNnz+aaN0UiEebOnQug4gD96aefYGlpya37t99+46X74MED9OrVCxoaGjAzM8OaNWve\nuF1KS0sxZcoUNGnSBGpqajA2NoaPjw9vnvDwcLRv3x7q6urQ19dHnz59kJeXxy0fGBgIExMTqKqq\nwtbWFjt37uQtLxQKsXr1avj6+kJHRwdfffUVt439/f1haGgIbW1tdO3aFefOnXurvFU2e/ZsdOnS\nhft8+vRpCIVCzJ49m5s2Y8YMODg48JZLSEiAo6MjNDU1YWtri6NHj/K+f1M+ZXXjr7/+qjWdymrb\n1xYWFpg1axbGjRsHfX19dOvWjduOVS/grq6uGDFiBG+bvameyMuLsrIyTpw4gZYtW0JdXR329vaI\ni4urNs/p06fx+eefQ01NDSdOnOC+s7W1haqqKpo0aYJZs2ZVe7t/eXk5pk+fDgMDA0gkEowZMwav\nX7/mvv/rr7/g7OwMPT096OjowMnJCTExMdXymp2dDalUCi0tLZiYmGDVqlW87990O6Lyra2goCBs\n3ryZ238ikQjbtm3D8OHD4ebmVm1ZFxcXjB49utZtWZOwsDA8e/YMO3bsQKtWreDk5IS1a9ciPDwc\naWlpNS43ffp0WFhYIDQ0FB06dICpqSm6du2KNm3a1LiMqakpAMDJyQlCoRCWlvyxRvfv3w9ra2to\naWnB2dkZycnJ3He5ubkYOnQozMzMoKGhgRYtWmDZsmXc9zVts9rUVq/kuXTpEhwdHaGhoQFdXV34\n+voiKyuLN89ff/2Fbt26QVNTEzo6OnB2dkZKSorc9NLS0mBjYwMfHx+UlpbKnafqrd309HRIpVKu\nddLKygpLly6tNd/379+HVCqFnp4eNDU1YWdnh8OHD3PfHz58GO3bt4eamhoaNmyIcePG8VpKhw8f\nDldXV6xZswYWFhZQU1NDcXExnJ2dMWrUKMyePRvGxsYwMzMDoNix/vLlS0yePBmmpqZQU1ODpaUl\nFi5cCODN9aQ2b6onlcuzadMmmJubQyKRwN3dvdq+XL16NZo0aQJNTU307t1bodtwzs7OGD16NObN\nm4dGjRpBT08Pw4YNq9byvGTJEjRt2hSqqqqwsrLCypUrq6VVWFiI0aNHQyKRwMDAADNmzKh13Ypc\n82rb7vIsXLgQ+vr6OH/+fI3zVD7/W1hYYMuWLThx4gSEQmGNLdeKXpsSExPRp08fiMViiMVi9O/f\nH/fu3ePSkF2zZcd85WuOXPQG/v7+5OrqWus8Z8+eJWVlZTp48CAREfXs2ZO6dOlCZWVlRER0+vRp\nEggE9Nlnn9Hhw4fpzp07NHLkSNLU1KSMjAwiIsrMzCQjIyMaN24cxcfHU2JiIk2cOJH09fUpOzub\niIhu3bpFmpqa5OvrS7GxsXTv3j2KjIykS5cuUVFREQUGBpKpqSk9ffqUMjMz6eXLl0RENGzYMGrT\npg399ddflJqaShEREdSgQQPasmULV4a2bdtSx44dKSYmhuLi4sjV1ZW0tbVp9OjRNZZ76dKl1KRJ\nEzp79iw9fPiQrl69SitXruS+37JlCykrK9P8+fPp9u3bFB8fT2vWrKFnz54REdF3331H+vr6tGvX\nLkpKSqJffvmFhEIhnTx5kktDIBCQvr4+rV27lu7fv0/JyclUWFhINjY25OXlxW2HX375hdTU1OjO\nnTsK5a2qkydPkqqqKrfNZs2aRQ0bNiQHBwduns6dO9PMmTN5+9TOzo6OHTtGycnJNHz4cJJIJJSb\nm0tEpFA+FUmnqtr2tbm5OUkkEgoKCqKkpCS6ffs2tx3DwsJ46fTo0YOGDx/OfVaknlQVEhJCQqGQ\n2rVrR+fOnaO///6b+vbtSyYmJlRUVMSbp1OnTnT69GlKSUmh7OxsOnjwIIlEIlq0aBElJSVx65s9\nezaXvpOTE2lra9PXX39Nd+7coYMHD5KhoSFNmTKFm2fPnj0UGRlJSUlJlJCQQKNHjyZdXV3Kycnh\n5hEIBKSnp0dr166lpKQkWrVqFSkpKdH+/fu5eczNzWn+/Pm8dVeu/5XPBQUFBeTr60sODg7cPigq\nKqKLFy+SSCSi1NRUbrmkpCQSCoUUExNDRETnzp0jLS2tWv++/PJL3n7p3r07b7uXlJSQSCSqtk9l\nysvLSSKR0NSpU2nIkCFkaGhIrVq1ogULFlBpaWmN+/P69eskEAho7969lJmZyZ17fvrpJ9LU1KTe\nvXvT9evX6ebNm9SuXTvq1q0bt2xGRgYtWrSIbty4QampqRQWFkZisZhCQkJq3WbyKFKvTp8+TUKh\nkNLT07n1a2trk5+fH8XHx1N0dDS1bt2aHB0duXSPHz9OIpGIpkyZQjdv3qTExEQKCQmhxMTEavv4\nxo0bZGxszKtr8vz000/UrFkz7nO/fv3I1dWVbt68SWlpaXT69Gn6448/alw+IyODGjZsSK6urnTh\nwgVKSUmhQ4cO0dGjR4mIKC4ujpSUlGjq1Kl09+5dOnr0KJmamtJXX33FpeHv70/a2trk6elJN2/e\npFu3blFZWRl3/IwdO5Zu375Nt27dIiLFjnVHR0dq2rQp7d+/n1JSUig6Opo2b95MRDXXE0W8qZ7I\nyiORSMjHx4fi4+Pp0qVLZGFhwSvz3r17SUlJiVasWEFJSUm0ZcsWatiwIa9OyOPk5EQNGjSgKVOm\n0N27d+n48eOkq6vLO++sWbOGNDQ0KDg4mJKTk2njxo2kpqbG2z6yc+2cOXMoMTGRtm/fTpqamrRq\n1SreuiqfQxS55tW23VNTU0kgEFB0dDSVl5fT+PHjycTEhOLj42vd5pXP/9nZ2eTt7U2Ojo709OlT\nev78udxlFL3GmZqaUo8ePej69esUGxtLzs7O1KxZMyopKaHXr1/T2rVrSSgUcsf8ixcvas2rQkGZ\nkpJStZNm//79efPNnTuX9PX1aerUqaSrq0sPHz6sVrjff/+dm1ZaWkpmZmZcRZgzZw517tyZl2Z5\neTk1bdqUCyb8/PzIzs6uxrzOmzePLCwseNNSUlJIKBTS3bt3q+VXltbx48dJKBRScnIy931WVhap\nq6vXGpRNmjSp2sWiMlNTU5o4caLc7169ekWqqqq0YcMG3vQBAwbw0hQIBNXy8Pvvv1OTJk24oFfG\nxcWFAgICFMpbVUVFRaSmpkZHjhwhIiIHBwdaunQpF6jl5+eTsrIynTp1ioj+2ad79+7l0sjMzCSB\nQEDHjh1TOJ+KpCOPvH1NVHGi6NGjR7XpbwrK7t+//8Z6Io/s4inbLkREz58/Jy0tLe4EJpsnOjqa\nt2zXrl1p8ODBvGkrV64kDQ0NKikpIaKKk5qFhQWVl5dz8/z222+krq5Or169kpunsrIyatCgAe3Y\nsYNX/mHDhvHm8/Hx4QUVbxOUERGNGjWKnJ2dq62/devWNGvWLO5zYGAgbxsWFRXRvXv3av17/Pgx\nN3/Pnj3J19e32noMDAxoyZIlcreBrA6pq6vTd999Rzdu3KAdO3aQrq4u98NCnkePHpFAIKAzZ87w\npv/000+krKzM/aAiIgoPDyeRSETFxcU1pjdp0iTq2bMn97mmbVaVIvWqalA2c+ZMatKkCVd3iCoC\nGoFAQOfOnSOiijpX9dxdmWwfnzx5knR0dGjx4sVvzGvVoKxNmzYUFBT0xuVkZs6cSY0aNaLCwkK5\n3w8dOpQ6derEm7Zv3z4SCoX04MEDLt8NGjSodkw4OTlR8+bNedMUuSb89ddfJBQKKTY2Vm6eaqon\n/1bVeuLv708NGzbk7ctFixaRsbEx97lLly7k5+fHS+e7775TKCirek4bO3YsffHFF9znJk2aUGBg\nIG+egIAAatq0KffZ3Nycd/4gIvrxxx/J1NSUty7ZOUSRa96btntqaioJhUI6ceIESaVSsrGxoUeP\nHtVYVpmq539FGpsUuTYFBweTpqYm7wdwZmYmqaurU2hoKBERbd++nYRC4RvzKKNQpxZ7e3ts27aN\ndy+3ah+CmTNn4ujRo1i+fDnCw8NhYmLC+14gEMDe3p77LBKJ0LFjR8THxwOo6GR89erVav1WioqK\nuFsEsbGx6N27tyJZ5ly9ehVEhPbt2/PyX1payvUtuH37NvT19dG0aVPue319fTRv3rzWtGVNzFZW\nVnB1dYWrqyv69esHZWVlZGVl4eHDh3B1dZW7bHJyMkpKStC1a1fedEdHx2pNtR06dKhWpidPnkAi\nkfCmv379mtsvteVNHlVVVXTu3BknT55E165dcfXqVURFReH333/H2bNnUV5eDiUlJXzxxRfcMgKB\ngHcryNDQECKRCJmZmQrnU5F03lbHjh3feplr1669sZ7UpnLd1tHRgbW1NVe3Zdq3b8/7HB8fj8GD\nB/OmOTo6oqioCPfu3ePqX8eOHXl9EhwcHFBcXIx79+6hZcuWSE1NxaxZs3Dp0iU8ffoU5eXlKCws\nrHZrr3IeZelUvj39rowZMwYLFixAUFAQysvLsXXrVsyaNYv7XlVV9a1u9/wb5eXlAIDWrVtj8eLF\nAIA2bdrg8ePHmDdvHn7++ee3TtPY2Bi6urq8z0SEp0+fwsTEBESERYsWITw8HI8ePUJRURFKSkpg\nbm7+r8uhSL2SSUhIgL29Pa8vVevWrSGRSBAfH48uXbrg2rVrWLRoUa3rvHnzJnr37o3ly5dj7Nix\nb53nyZMnY8yYMTh8+DCcnJzQp0+faue5ymJjY/HFF19ATU1N7vfx8fHo3r07b5qjoyOICAkJCVwn\nbWtra6irq1dbvl27drzPilwTYmNj0aBBA7Rt21axQr8FRetJixYtePvS2NiYd05MSEio1iWlS5cu\n1W6FylP1Fr6xsTGOHTsGoOLJxEePHsm9Nq1atQpFRUXcvurcuTNvHgcHByxcuBAFBQXQ0tLifafI\nNU+R7U5EGD58ODQ1NREdHY0GDRq8sbz/1puuTQkJCbCxseHlwdDQEM2bN6/xOH0ThYIydXX1Nz7p\n9vjxYyQmJkIkEuHu3btvnZHy8nL06NEDa9eurdaRr+pF/W3TFQgEuHjxYrUD9r921GzTpg1SU1Nx\n/PhxnDp1CpMmTcKsWbNw+fJlhZavWs6aaGpq8j6Xl5fDxsYGe/furZaGLNipmrfJkydzeat6sMi4\nuLhgz549cHFxgaWlJYyMjODs7IwTJ06AiNC5c2eoqKjwlqn6WZY/RfOpSDpvq+r2Air2ddU8lJSU\n8Nb1vuoJUPEjRF4Z5VGkXlSep0+fPjA0NMS6devQpEkTqKiowMHBgdfv7EMaOnQoAgMDcejQIZSW\nluLFixfw9fXlvj9//vwbf1x169aNe0qyUaNGePToEe/70tJS5OTkoFGjRnKX19fXh7KycrWOvLa2\ntnjx4gXy8vLe+rxSdf/J6oWsni5ZsgSLFi3CihUrYGdnB7FYjGXLlvH6Rv0vMDMzg4WFBbZv3w5f\nX9+3ftLe398fvXv3xtGjR3Hq1Cn07t0bnp6eb+w/91/JO+7lTX/fx/qbKFpP5NU3Ra8ZbyIv7X97\nvn0b7yr/ffv2xZYtW3DkyJFa+0q/C+/y2qSId/IIJRHB19cXbdu2RXh4OIKCgqo9Ik1EvGllZWW4\ncuUKbG1tAVS0IsTHx6Nx48awtLTk/cmeCmvXrh3XQVoeFRWVap2kZb+S0tLSqqUrCzRtbGyQnZ3N\ndc4DKjpFKxJcamhowN3dHStWrMDVq1dx+/ZtnDlzBgYGBjAxMeF+fVRlZWUFVVXVao9Unz59Gi1b\ntqx1ne3bt8f9+/chFourlcnIyEhu3mJiYri81cTZ2Rk3btxAZGQk98vUxcUFJ0+exMmTJ9/69QeK\n5vPfkLeva2NoaMh7d09xcTESEhK4z4rUk9pUrtu5ubm4ffs2V7drYmtrK3f/a2ho8FptY2JieCez\n6OhoqKmpoWnTpsjJycHt27cRGBgIV1dXtGjRAioqKnj69GmteZSl81+ePqppH4jFYgwePBi//fYb\ngoOD4eXlxbuwd+jQAXFxcbX+BQcHc/M7ODjg4sWLKCgo4KYdO3YMRFTtwRMZJSUldOrUCXfu3OFN\nv3PnDiQSSY0BmewE/DZ1S+bcuXPo1asXhg0bhjZt2sDS0hKJiYnV0n+btN+mXtna2uLSpUu8Dvlx\ncXHIy8tDq1atAFTU85rOSTISiQTHjx+HQCBAjx49kJubq3B+ZRo2bIhhw4YhJCQEmzdvRlhYGG//\nVdauXTtcuHABhYWFNZZL3nEiFArfeIzVtD6g9mO9Xbt2eP78OWJjY+Wm8b7riSJsbGyqva+rts7u\nihKLxTAxMZG7zWUPUcjIO6c0btxY7g9/Ra55b9ruQEUA6evri5CQEIwYMeK9B/u1sbW1RUJCAnJy\ncrhpmZmZuHv3LnfMyeqKwgHpm+5v+vv7k6OjI2VkZFT7k5k7dy4ZGhpy08aNG0fm5uaUl5dHRP/c\nm23evDkdPnyYbt++TaNGjSJNTU168uQJdx+2cePG5ObmRufOnaPU1FQ6d+4czZgxgy5evEhERH//\n/TdpamrSkCFD6OrVq7yO/kREkZGRpKKiQhcvXqTs7Gyuf8HIkSPJ2NiYQkNDKTk5meLi4mjLli20\naNEirgx2dnZkb29PV65coevXr5ObmxtJJJJa+5QtXryYwsLCKD4+nlJSUmj+/PmkrKzMdZoNDg4m\nFRUV+vnnn7lOppU7+k+bNo309fUpMjKSEhMTaf78+SQSiXj9SOT1hSoqKqJWrVpRx44d6dixY5Sa\nmkqXL1+mBQsW0L59+xTKmzwlJSWkpaVFKioqtHv3biKq6MeirKxMIpGILly4wM0r26dV+y4oKSnR\n1q1bFc6nIunIU9O+rtovSsbPz48sLS3p4sWL9Pfff9OQIUNIIpHwOvrXVE9+/fXXGvMh6/vToUMH\nOnv2LN28eZP69etHxsbGXB+ZkJAQUlZWrrbs4cOHSUlJiRYuXEiJiYkUHh5ODRo0oDlz5nDzODk5\nkUQi4ToqHzx4kIyMjLg+eeXl5WRoaEgDBw6kxMREunDhAnXt2pW0tLR4/XpkHf3XrFnDdfRXVlbm\n9oO8bfemPmWLFy8mQ0NDio+Pp+zsbF7fqpiYGFJSUiJlZWVevfk3CgoKyNTUlPr160dxcXF08uRJ\nsrCwIB8fH26e9PR0atGiBa//x+HDh0kkEtGcOXMoKSmJ9u3bRwYGBrX2dyovLyexWEyBgYGUkZHB\ndQKu2m+KiOj8+fMkEAgoLS2NiCr68xgZGdGpU6coMTGRZs6cSRKJhNf3sbZtVpki9arqsZOZmUkS\niYR8fX3p1q1bdO7cOWrdujU5OTlx6R47doyUlJRo8uTJdPPmTbp7926NHf0LCgrI0dGRPv/8c15f\nuqqqbpvx48fT4cOH6d69e3Tr1i3y8vIic3PzGpd/8uQJ19E/OjqaUlJS6ODBg1z/1ps3b5KysjIF\nBATQnTt36MiRI2RqasrrI1lTH6GqdVhGkWtCt27dyMrKivbt28d1OA8ODiaimuuJIhSpJ/LKU7Vv\n0p49e0hZWZlWrlzJdfQ3MjJSqE9Z1W1StY/uunXrSENDgzZt2kRJSUm0YcMGUldX5/ULr/xQVWJi\nIoWFhZGWlhbvgbKq61Lkmlfbdq/c0Z+IaNeuXaSurs59X5P/0qestmtTYWEhmZmZUY8ePSg2Npau\nXr1KTk5O9Nlnn3H9AWNiYkgoFNKePXsoKyuLCgoKal2vQkGZUCjk/QkEAhIKhfTs2TO6cOECqaio\n0KFDh7hlioqKyM7Ojry9vbnCCYVCOnDgALVr147U1NTI1taWTpw4wVvXgwcPyM/PjwwNDUlNTY3M\nzc1p6NChvCe5YmJiyNXVlbS0tEhbW5s6d+7MPdVVUlJCvr6+pKurS0KhkDv5lpeX0+LFi8na2ppU\nVVXJwMCAnJycKCoqiks3LS2N3NzcSF1dnZo0aUKrVq0iZ2fnWoOyjRs3Uvv27UkikZBYLKaOHTvS\ngQMHePPs2LGD7OzsSE1NjfT19alv375csFpSUkLTp08nExMTUlVVJVtb22pPKQmFQrlPmOXk5NC3\n337LLWtiYkKenp5048YNhfMmj5ubGykpKfFOMu3atSOJRMJ7aq1qJ2MZZWVlXjD1pnwqmk5VNe1r\nCwsLuUFZRkYG9e/fnyQSCZmamtKGDRvI1dWVF5QpUk+qkgVcx48fJ2tra1JTUyN7e3uufJXnkWfb\ntm1kY2PDbZtZs2bxHoxwdnamkSNH0rRp00hPT497ErPyU3tnz54lOzs7UldXpxYtWtDu3bupWbNm\nvOBDKBTSypUrycPDgzQ0NMjY2JhWrFjBy0vVbVe1/lc9keXk5FCfPn1IIpGQUCistr/atm1LLVu2\nrHHbvY3ExERyc3MjTU1N0tfXp7Fjx/I6dcs6AFfNQ0REBLVs2ZLU1dWpefPmtHjx4moPnlQVGhpK\nlpaWpKSkxF2oagrKhEIhF5Tl5eWRt7c3SSQS0tfXp/Hjx9Ps2bN5F7s3bTMZReqVvGPn8uXL5Ojo\nSBoaGtSgQQPy8/OjrKwsXtrHjh2jL774gjQ0NEhHR4dcXFwoJSWFiKrv48LCQurRowe1adOmWjoy\nVbfNuHHjqHnz5qShocGd8xISEmrc3kQVT+h6enqSjo4OaWpqkp2dHReUEREdOXKE2rdvT2pqamRo\naEjjxo3j7f+aLrI1ncMVOdYLCgpo4sSJZGxsTKqqqmRpackL2mT1RFlZmdvHsqChtnOXIvVEkaCM\niGjVqlVkYmJCGhoa5OrqStu2bXtjUCZvm8h7cGrJkiVkaWlJKioq1LRpU95TlUQV54uZM2fSiBEj\nSFtbm/T19enHH3+sdV2KXPNq2+6y47zyQ1P79+8nDQ0NWr9+fY1lrnodVTQoU+TalJiYSH369CGx\nWExisZj69+9P9+7d4y0TEBDAPRlb+Zojj4DoHd3krcWZM2fg4uKChw8fwtjY+H2vrk7Fx8f/qyb1\nj8GnWPatW7di9OjReP369SdZ/soql7+0tBTm5uYIDAzE+PHj6zhnH8anvP8/5bID/5T/5MmT6Nev\nH+Lj4//TAx7/az71/f8ufbDX8n+A2K9e+LdPXHwMPuWyA6z88fHx3NOICxYswKtXr+Dv71/X2fpg\nPuX9/ymXHfin/IcOHUJgYOAnFZABbP+/Sx9snBc2JAXDfPwePHgACwsLGBsb4/fff6/xSV+G+Ri9\naeQChnmTDxKUOTo6/qunVBimvhs2bBiGDRtW19moN8zMzD7Io/UMwzAfow/Sp4xhGIZhGIap3Qe7\nfVnfPX36FLt378arV68wZcoUABXvsvrpp5/g5eWFzz//XOG0Kr8P61MiFouRn59f19moM6z8rPyf\navk/5bIDrPwf+wN8H9IH6+hf3xkaGuKbb77hTdu3b1+1YSQYhmEYhmHeh4+2pWz9+vWIjY2FRCLB\nkiVLuOk3btxASEgIiAjOzs7w8PCQu/zNmzdhYmJSZ0PVMAzDMAzzafloW8qcnZ0xY8YM3rTy8nJs\n3rwZM2bMwNKlSxEdHY309HS5yyckJCApKQnR0dG1Du3EMAzDMAzzLny0LWUtWrRAVlYWb1pycjIa\nNWoEAwMDABVj6sXExKBx48YoKCjAzp07kZqair1792Lw4MEAKl58KxaLP3j+GYZhGIb5tHy0QZk8\nOTk53ODmAKCrq4vk5GQAgJaWFkaPHl1tGUdHx1rTjI+PR3x8PJ4+fYqsrCwEBQV9skGciorKJ1t2\ngJWflf/TLf+nXHaAlR8A5syZAwMDAxgaGsLW1pa94f9f+qSCsvdBXuX7VJ/C+dSfQGLlZ+X/VMv/\nKc3BEWwAACAASURBVJcdYOUXi8UICgqq62x8FD7aPmXy6OrqIjs7m/uck5MDXV3dOswRwzAMwzBM\nhY86KCMi3pibVlZWyMjIQFZWFkpLSxEdHY327dvXYQ4ZhmEYhmEqfLS3L1euXImEhATk5+dj7Nix\nGDRoEJydnTFixAjMmzcPRAQXFxeYmJjUdVYZhmEYhmE+3qBs0qRJcqe3bdsWbdu2/cC5YRiGYRiG\nqd1HffuSYRiGYRjmfwULyhiGYRiGYeoBFpQxDMMwDMPUAywoYxiGYRiGqQdYUMYwDMMwDFMPsKCM\nYRiGYRimHmBBGcMwDMMwTD3AgjKGYRiGYZh6gAVlDMMwDMMw9QALyhiGYRiGYeoBFpQxDMMwDMPU\nAx/t2Jdv6+nTp9i9ezdevXqFKVOmICYmBrGxsSgsLISLiwtat25d11lkGIZhGOYjxlrK/p+hoSG+\n+eYb7nOHDh0wZswYjB49GhcuXKjDnDEMwzAM8yn4aFvK1q9fj9jYWEgkEixZsoSbfuPGDYSEhICI\n4OzsDA8Pj1rT2bVrF3r16vW+s8swDMMwzCfuo20pc3Z2xowZM3jTysvLsXnzZsyYMQNLly5FdHQ0\n0tPTa0wjLCwMn3/+OczNzd9zbhmGYRiG+dR9tC1lLVq0QFZWFm9acnIyGjVqBAMDAwCAg4MDYmJi\n0LhxYxQUFGDnzp1ITU3F3r17oaqqilu3bqGwsBAZGRno0aNHXRSDYRiGYZhPxEcblMmTk5MDPT09\n7rOuri6Sk5MBAFpaWhg9ejRv/t69e78xzfj4eMTHx+Pp06fIyspCUFAQxGLxu834/wgVFZVPtuwA\nK399Lj8RcP++ADk5AujqEiwtCQLBu11HfS7/+/Yplx1g5QeAOXPmwMDAAIaGhrC1tYWtrW1dZ+l/\n0icVlL0P8ipffn5+HeWmbonF4k+27AArf30sPxGwebMm9u5VR0qKCC9fCqCpSbCwKIOHRyFGjnz5\nzoKz+lj+D+VTLjvAyi8WixEUFFTX2fgofFJBma6uLrKzs7nPOTk50NXVrcMcMQzzvhABkyfr4OBB\nNRQV/dN9NjcXuH5dhDt3lPD338pYsSL3nbeaMQzD/BsfbUd/ACAiEBH32crKChkZGcjKykJpaSmi\no6PRvn37OswhwzDvy+bNmjh0iB+QVVZYKMShQ2rYskXjA+eMYRhGvo+2pWzlypVISEhAfn4+xo4d\ni0GDBsHZ2RkjRozAvHnzQERwcXGBiYlJXWeVYZh3jAjYu1cdhYW1/+4sLBRizx4NjBz56gPljGEY\npmYfbVA2adIkudPbtm2Ltm3bfuDcMAzzIaWminDvaSbQ+1dAnA61fCNMf2yIhbd+QGGZOm/elBQR\nUlJEsLAoq6PcMgzDVPhogzKGYT5dfySG4YX3ckD7EUQErE9siu4CHWxW1saDq1N48756JUBurhAA\nC8oYhqlbH3WfMoZhPj0ZLzMQnrkE0H4EABiV0RAa5SKkq7yGoNMqQPyYN7+GBkFHp7wussowDMPD\ngjKGYT4qa26sQVbxEwCAWZEKxj4xwvcWqSgVECDOABz+j727j4+rrPM+/jmnafqQjmkmndCU8Bwh\nNIIEKFqD4AQ0VFxbuTUg8iDZu9hW1tRueYhZyEYjgiRIFIxaQiMuCu6CBVewLhVBB8sdDFlsouCA\nXTTdkEmnwLTpU3qu+49g7LST0ock58yZ7/v18vVirkzP/H4k1G+uc53ruj3p/SecsEe3LkXEExTK\nRMRX/nfwf0f+eXHfUdxf0M9rU3dhMFgA7/rLyNenTXP4xCe0yF9EvEGhTER8pXB6IQDZjsXH4kEe\nCm0GwACWAd46BhgOZBdfvIPqaoUyEfEGLfQXEV+57ozr+Pn//Jyyv2znD9MG6Z2yCxgOZfbW2bzr\n9ys5qWwXn/jEINXVg9o4VkQ8Q6FMRHxlds5sVpy5grzu+3g0v39k3LazuOLkz/Lhh7I54YSBA1xB\nRMQdCmUi4juXl1zO4KwNDMzZxpvBbRTmFFK08XUWf+AirDla1C8i3qRQJiK+NMWewhVzL+HK04aP\nUtvz888P38MUEfEoLfQXEX8yDrDvgjGlMhHxLoUyEfEnQ3Ims6zhQzFFRDxKty/f1t/fzyOPPMLg\n4CArVqxg586d3HvvvUyePJm5c+dy7rnnul2iiBwSA9Zev3cqlImIx2mm7G0FBQUsWbJk5PVzzz3H\n/Pnzufbaa3n++eddrExEDosxKe5eKpSJiHf5dqastbWVzs5OcnNzaWpqGhnv6uqivb0dYwzhcJhF\nixal/PPxeJzjjjsOANtWdhVJO2af+5eWjdaUiYiX+TZthMNh6urqksYcx6GtrY26ujqam5uJRCL0\n9vam/PPBYJDNm9/eCVy/XYukH2NI2hnWQplMRDzNt6GspKSEnJycpLFoNEphYSGhUIisrCzKy8vp\n6OgAYOvWraxatYqNGzeyZs0a3v/+97N+/XruvfdezjrrLDdaEJEjsV8oUyoTEW/z7e3LVOLxOPn5\n+SOvg8Eg0WgUgBkzZrB48eKk9y9btmxC6xORsbRPKEML/UXE2zIqlI2H7u5uuru76e/vJxaL0dDQ\nQCAQcLssV2RnZ2ds76D+vdZ/wp7EtJwcst6uKZE1iWnTpo28Hmte638iZXLvoP4B6uvrCYVCFBQU\nUFpaSmlpqdslpaWMCmXBYJCBgb+feRePxwkGg0d0zVQ/fIlE4oiuma4CgUDG9g7q32v97xnazeDg\ndqy3a9qzx2Fw27aR12PNa/1PpEzuHdR/IBCgoaHB7TJ8wbdrymB4gf7ei/SLi4vp6+sjFosxNDRE\nJBLh7LPPdrFCERk3+64ps23dvhQRT/PtTFlLSws9PT0kEgmWLl1KVVUV4XCY6upqGhsbMcZQUVFB\nUVGR26WKyHix9t2oTETEu3wbympqalKOl5WVUVZWNsHViMiEc5z9n77UTJmIeJivb1+KiIzQlhgi\n4nEKZSLiT8YMryNLGnOnFBGRg6FQJiL+tN8xSxYYx7VyRETeiUKZiPjTvgeSW5ZmykTE0xTKRMSn\nzNuHkL9Na8pExOMUykTEn5x9Zsp0zJKIeJxCmYj4VKo1ZQplIuJdCmUi4k/GgK3NY0UkfSiUiYg/\n6elLEUkzCmUi4k/7nn2ppy9FxOMUykTEv3TMkoikEd+efXmkBgYGWL16NYFAgNmzZ7No0SK3SxKR\nQ2H2OfsSbYkhIt6mmbJRvPbaa8yfP58lS5awceNGt8sRkUNlIHlNGcpkIuJpGTNT1traSmdnJ7m5\nuTQ1NY2Md3V10d7ejjGGcDg8MiN28skn09zczFNPPcUHP/hBt8oWkcOVak2ZUpmIeFjGzJSFw2Hq\n6uqSxhzHoa2tjbq6Opqbm4lEIvT29gLw1FNPcemll3LzzTfT2dnpRskiciRS3b50FMpExLsyJpSV\nlJSQk5OTNBaNRiksLCQUCpGVlUV5eTkdHR0AnHHGGTz++OOsWrWKgoICN0oWkSO179mXmikTEQ/L\nmNuXqcTjcfLz80deB4NBotEoAMcccwwrVqxwqzQROVImxdmXevpSRDwso0PZWOju7qa7u5v+/n5i\nsRgNDQ0EAgG3y3JFdnZ2xvYO6t9r/b8J5MyYwaS3a9o6eTJTpk1l8jjV6LX+J1Im9w7qH6C+vp5Q\nKERBQQGlpaWUlpa6XVJayuhQFgwGGRgYGHkdj8cJBoOHdI1UP3yJRGJM6ks3gUAgY3sH9e+1/o3j\nsG3bNqy3a9ozNIQzuJ0d41Sj1/qfSJncO6j/QCBAQ0OD22X4QsasKQMwxmD2un1RXFxMX18fsViM\noaEhIpEIZ599tosVisjYSbWjv25fioh3ZcxMWUtLCz09PSQSCZYuXUpVVRXhcJjq6moaGxsxxlBR\nUUFRUZHbpYrIWHDM/k9fKpSJiIdlTCirqalJOV5WVkZZWdkEVyMi42/fA8n/NiYi4k0ZdftSRDKI\nYZ/bl7ZmykTE0xTKRMSf9t08VncvRcTjFMpExJ/2OWbJ0uGXIuJxCmUi4l/77uivqTIR8TCFMhHx\nJ+NoR38RSSsKZSLiTwaSp8pQKBMRT1MoExF/Mmaf25c2WlMmIl6mUCYi/rTfgeQok4mIpymUiYhP\n7TtTpjVlIuJtCmUi4k9mnx39NVUmIh6nUCYi/mQM2Pscs6SZMhHxMIUyEfGnVDNlCmUi4mEZcyD5\noTLG8NBDDzE4OEhxcTHnnXee2yWJyCFJ3tEfW6FMRLxNM2Wj6OjoYPPmzWRlZREMBt0uR0QOlbNP\nKNt3zzIREY/JmJmy1tZWOjs7yc3NpampaWS8q6uL9vZ2jDGEw2EWLVoEwKZNmzjllFO48MILufPO\nO3nPe97jVukiclj2CWV6+lJEPC5jZsrC4TB1dXVJY47j0NbWRl1dHc3NzUQiEXp7ewHIz89nxowZ\nANh2xvxrEvGPfXf0t/T0pYh4W8akjZKSEnJycpLGotEohYWFhEIhsrKyKC8vp6OjA4D3ve99dHV1\nsXr1aubOnetGySJyJIyzz+1LlMlExNMy5vZlKvF4nPz8/JHXwWCQaDQKQHZ2NkuWLHnHa3R3d9Pd\n3U1/fz+xWIyGhgYCgcC41exl2dnZGds7qH+v9f+GgcC73oU1aRIAg9nZTMrOZso41ei1/idSJvcO\n6h+gvr6eUChEQUEBpaWllJaWul1SWsroUDYWUv3wJRIJl6pxVyAQyNjeQf17r39DYmsCyx4OZc7Q\nELt37GDXONXovf4nTib3Duo/EAjQ0NDgdhm+kDG3L1MJBoMMDAyMvI7H43rSUsQv9jv7UmvKRMTb\nMiqUGWMwez19VVxcTF9fH7FYjKGhISKRCGeffbaLFYrIWPjbf+fWvlti6OlLEfGwjLl92dLSQk9P\nD4lEgqVLl1JVVUU4HKa6uprGxkaMMVRUVFBUVOR2qSJypFKFL02UiYjHZUwoq6mpSTleVlZGWVnZ\nBFcjIuNq31uXgFKZiHhdRt2+FJEMYcz+G/hb1vA2GSIiHqVQJiI+tO8RS7wdytypRkTkYCiUiYj/\nmNFCmVKZiHiXQpmI+I8xpLh/iabKRMTLFMpExH8MKWbKUCYTEU9TKBMR/0l17qU2jxURj1MoExEf\nSrGmDAschTIR8S6FMhHxHwP7rSnTTJmIeJxCmYj4j3HA1tOXIpJeFMpExH9SzpShUCYinqZQJiI+\nlGJH//0HREQ8RaHsAHbu3EltbS2dnZ1ulyIih8JJcfalbl+KiMcplB3Ao48+yvz5890uQ0QO2Sgz\nZQplIuJhWW4XMFFaW1vp7OwkNzeXpqamkfGuri7a29sxxhAOh1m0aBEAL774IkVFRezatcutkkXk\ncKXa0V9rykTE4zJmpiwcDlNXV5c05jgObW1t1NXV0dzcTCQSobe3F4Cenh7+9Kc/EYlEWLdunRsl\ni8jhSnn2pY22xBARL8uYmbKSkhJisVjSWDQapbCwkFAoBEB5eTkdHR0cffTRXHbZZQA8/fTTBAKB\nCa9XRI5AylCGMpmIeFrGhLJU4vE4+fn5I6+DwSDRaDTpPeeff/4Br9Hd3U13dzf9/f3EYjEaGhoy\nNsRlZ2dnbO+g/r3Uv7N7JwnbTqpnx5SpGGcP08apRi/1P9EyuXdQ/wD19fWEQiEKCgooLS2ltLTU\n7ZLSUkaHsrGQ6ocvkUi4VI27AoFAxvYO6t9L/ZtEAkPyf4vOrl2wZ4ihcarRS/1PtEzuHdR/IBCg\noaHB7TJ8IWPWlKUSDAYZGBgYeR2PxwkGgy5WJCJjQwv9RST9ZFQoM8Zg9vpLubi4mL6+PmKxGEND\nQ0QiEc4++2wXKxSRMWFIfSC5QpmIeFjG3L5saWmhp6eHRCLB0qVLqaqqIhwOU11dTWNjI8YYKioq\nKCoqcrtUETliqRb6a6W/iHhbxoSympqalONlZWWUlZVNcDUiMq4cJ3UoUyYTEQ/LqNuXIpLBdMyS\niHicQpmI+I8xYO/715tuX4qItymUiYj/pJoRUyYTEY9TKBMR/0m5o78FxnGnHhGRg6BQJiI+ZN4+\n63IvWugvIh6nUCYi/mPMfnvH6v6liHidQpmI+I9JtaO/nr4UEW9TKBMR/0m1o/9+M2ciIt6iUCYi\n/mNSbB6rY5ZExOMUykTEh/T0pYikH4UyEfGflLcv9fSliHhbxpx9eTg6Ojro7Oxk+/btVFRUcPrp\np7tdkogcDOOQcqG/UpmIeJhC2QHMmzePefPmsW3bNn7wgx8olImkixQPX2pNmYh4XUaFstbWVjo7\nO8nNzaWpqWlkvKuri/b2dowxhMNhFi1alPTnHn74YS666KKJLldEDluqzWPRRJmIeFpGrSkLh8PU\n1dUljTmOQ1tbG3V1dTQ3NxOJROjt7R35+gMPPMCZZ57J8ccfP8HVishhc1Is9FcqExGPy6hQVlJS\nQk5OTtJYNBqlsLCQUChEVlYW5eXldHR0APDEE0+wYcMG1q9fz5NPPulGySJyWFIdSK7blyLibRl1\n+zKVeDxOfn7+yOtgMEg0GgVgwYIFLFiwwK3SRORwGQN2qrMvFcpExLsyPpQdqe7ubrq7u+nv7ycW\ni9HQ0EAgEHC7LFdkZ2dnbO+g/r3U/9C0aWyfNCmpnp3TprEnK4vp41Sjl/qfaJncO6h/gPr6ekKh\nEAUFBZSWllJaWup2SWkp40NZMBhkYGBg5HU8HicYDB70n0/1w5dIJMasvnQSCAQytndQ/17q32zb\nhuM4SfU4O3bA7l3jVqOX+p9omdw7qP9AIEBDQ4PbZfhCRq0pAzDGYPa6hVFcXExfXx+xWIyhoSEi\nkQhnn322ixWKyJEbbUd/d6oRETkYGTVT1tLSQk9PD4lEgqVLl1JVVUU4HKa6uprGxkaMMVRUVFBU\nVOR2qSJyJFI9fak1ZSLicRkVympqalKOl5WVUVZWNsHViMj4SbV7rEKZiHhbxt2+FJEMYABbxyyJ\nSHpRKBMR/xnt7EvNlImIhymUiYj/mFRrytBEmYh4mkKZiPiTjlkSkTSjUCYi/mMcPX0pImlHoUxE\n/Ge07KVQJiIeplAmIv5jDFj7/PVm2wplIuJpCmUi4j/G7L9NGRZGa8pExMMUykTEh/Z/+lLblImI\n1ymUiYj/pLp9qVQmIh6nUCYi/pNy7ZievhQRb1MoExH/0eaxIpKGFMpExIdShDKst49fEhHxJoUy\nEfEfJ0Uo2/eAchERj8lyuwCv2rlzJ/feey+TJ09m7ty5nHvuuW6XJCIHzbD/nhhaUyYi3qaZslE8\n99xzzJ8/n2uvvZbnn3/e7XJE5FAY9p8Z0zFLIuJxGTNT1traSmdnJ7m5uTQ1NY2Md3V10d7ejjGG\ncDjMokWLAIjH4xx33HEA2Layq0haMQ4pZ8pERDwsY9JGOBymrq4uacxxHNra2qirq6O5uZlIJEJv\nby8A+fn5bN68GQCj365F0ooZ5e6lZspExMsyJpSVlJSQk5OTNBaNRiksLCQUCpGVlUV5eTkdHR0A\nnHPOOaxfv557772Xs846y42SReSwGaxUm8fq6UsR8bCMuX2ZSjweJz8/f+R1MBgkGo0CMGXKFJYt\nW+ZWaSJyJBwnxT5llvYpExFPy+hQNha6u7vp7u6mv7+fWCxGQ0MDgUDA7bJckZ2dnbG9g/r3Uv+7\npk5l9+TJ5OxVz+7p09k5aRIzxqlGL/U/0TK5d1D/APX19YRCIQoKCigtLaW0tNTtktJSRoeyYDDI\nwMDAyOt4PE4wGDyka6T64UskEmNSX7oJBAIZ2zuofy/172zfDkN7kuox23fgDO0etxq91P9Ey+Te\nQf0HAgEaGhrcLsMXMmZNGQwv2N970X5xcTF9fX3EYjGGhoaIRCKcffbZwPBTmcuXL6empoY1a9a4\nVbKIHA5j9PCliKSdjJkpa2lpoaenh0QiwdKlS6mqqiIcDlNdXU1jYyPGGCoqKigqKhp5KvOWW24h\nLy+P2tpa5s2bx9FHH+12GyJyMFKdfanNY0XE4zImlNXU1KQcLysro6ysLGls76cygZGnMhXKRNJF\nqgPJFcpExNsy6vblwUr1VGY8HnexIhE5JKk2KlMoExGPy5iZskO1Z88e7rnnHiZPnoxt26Pu6q+n\nL/8u059AUv/e6X/nlCnsyc5metLTlznsmGSPW41e6n+iZXLvoP5BT1+OFYWyFILBIK+++iqXX345\nZ555JitXrhz1QHI9ffl3egJJ/Xul/+GnL4f2efpyO84+Y2PJS/1PtEzuHdS/nr4cOxkTyg7l7Mvi\n4mLi8Ti2bTM0NMTmzZtHnsoUkTSQaqG/hTaPFRFPy5hQFg6HWbBgAXfffffI2IGesqyoqOA73/kO\n2dnZzJo1i6KiIherF5FDM8rTl0plIuJhGRPKSkpKiMViSWMHesryU5/6FG+99RbZ2dmUlJS4UbKI\nHC6Dnr4UkbSTMaEsFZ19KeJTxkFPX4pIusnoUDYW9PTl32X6E0jq3zv9p3r6cignh+22nr4cD5nc\nO6h/0NOXY8W3oWzt2rWsW7cOy7Kora1l5syZ+71HZ1+OLT2BpP690r+zY8f+T18ODuLs2aOnL8dB\nJvcO6l9PX44dT4SyRCLBCy+8wJYtW1i4cCHxeBxjTNKtxUNVWVlJZWVl0tiBzr7My8sjEomMuvO/\niKQRJ9XZl7p9KSLe5noo6+npobm5mRNPPJGXXnqJhQsX0tfXx2OPPcZNN900Zp9zKGdfiki6047+\nIpJ+XA9l7e3tLF++nNNOO41rrrkGGJ7BeuWVV8b0cw7l7EsRSXPGwH6ncCiUiYi3uX72ZSwW47TT\nTksay8rKYs+ePS5VJCJpL1X4srVPmYh4m+uhrKioiK6urqSx3//+9xx77LEuVSQiaS/Vjv6aKRMR\nj3P99uWVV17J7bffTllZGbt27eJ73/sev/vd77j++uvdLk1E0paOWRKR9ON6KDv55JO54447+PWv\nf83UqVOZNWsWt9566xE9eSkiGW60mTKlMhHxMFdDmeM4fPnLX6auro6FCxe6WYqI+InR05cikn5c\nXVNm2zb9/f1Je4eJiByxlGdfolAmIp7m+kL/T37yk6xatYpYLIbjOEn/ExE5LMZJEcpshTIR8TTX\n15R997vfBeCZZ57Z72sPPfTQRJcjIn5gUuzov/+AiIinuB7K7r77brdLEBE/sva5EaDblyLica6H\nslAoBAwv+n/zzTfJzc3F3m8nbhGRQ2AcUi7019OXIuJhroeywcFB7rvvPiKRCI7jMGnSJD7wgQ9Q\nXV3N9OnT3S5PRNJRiocvhzePdaEWEZGD5PqU1OrVq9mxYwfNzc3827/9G01NTezatYv77rvP7dJE\nJF0Zo9uXIpJ2XA9lXV1d/NM//RNz5sxh8uTJzJkzh2XLlvHf//3fbpcmIukq1UJ/y377tqaIiDe5\nHsqys7N56623ksbeeustsrJcv7MqImkr1eaxrhQiInLQXE8+FRUVNDY2cvHFFxMKhYjFYvzsZz/j\nwgsvdLs0EUlXxsAkHUguIunF9VB2ySWXkJeXRyQSIR6PEwwGWbhwIeFw2NW6Ojo66OzsZPv27VRU\nVHD66ae7Wo+IHAIdsyQiacj1UGZZFhUVFVRUVLhdSpJ58+Yxb948tm3bxg9+8AOFMpF0kvJAchER\nb3N9Tdl9993HSy+9lDT20ksv0d7ePqaf09rayuLFi1m5cmXSeFdXF8uXL6empoY1a9bs9+cefvhh\nLrroojGtRUTGW4pQppkyEfE410NZJBLhpJNOSho78cQT+c1vfjOmnxMOh6mrq0sacxyHtrY26urq\naG5uJhKJ0NvbO/L1Bx54gDPPPJPjjz9+TGsRkXHmpAplOvtSRLzN9VBmWdZ+h487joMZ4788S0pK\nyMnJSRqLRqMUFhYSCoXIysqivLycjo4OAJ544gk2bNjA+vXrefLJJ8e0FhEZb6M8falQJiIe5vqa\nspKSEh588EGuuOIKbNvGcRz+/d//nZKSknH/7Hg8Tn5+/sjrYDBINBoFYMGCBSxYsOAdr9Hd3U13\ndzf9/f3EYjEaGhoIBALjVrOXZWdnZ2zvoP691P/2ydlY06Yyda96nF07SFjWuNXopf4nWib3Duof\noL6+nlAoREFBAaWlpZSWlrpdUlpyPZRdc8013HbbbXzuc59j1qxZDAwMkJeXx4033uh2aQcl1Q9f\nIpFwqRp3BQKBjO0d1L+X+nd27oCdu9i9Vz1m2zaM44xbjV7qf6Jlcu+g/gOBAA0NDW6X4Quuh7L8\n/Hxuv/12otEomzdvJj8/n+Li4iM+lHzt2rWsW7cOy7Kora1l5syZ+70nGAwyMDAw8vpvW3KISJpL\ndfal9bcviIh4k+uhDMC2bU4++WQANmzYwB//+Efmzp17RNesrKyksrIyacwYk7RWrbi4mL6+PmKx\n2MheaTU1NUf0uSLiBSnOvtTmsSLica6Hsvr6ej796U9TUlLCmjVr+NnPfoZt21RWVnLJJZeM2ee0\ntLTQ09NDIpFg6dKlVFVVEQ6Hqa6uprGxEWMMFRUVFBUVjdlniohLUp59qVAmIt7meij7y1/+MjJL\ntm7dOurr65k6dSo333zzmIay0WbAysrKKCsrG7PPEREP0I7+IpKGXA9lf7ud2NfXBzAyU7Vt2zbX\nahKRNGdS3L60LLSmTES8zPVQdsopp3DfffexZcsW5s2bBwwHtEx/vFhEjkCq25dYymQi4mmubx77\n+c9/nunTp3PcccdRVVUFwKZNm/joRz/qcmUikr5S7eiPbl+KiKe5PlMWCAS4/PLLk8bOPPNMl6oR\nEV9IdSC5bl+KiMe5PlMmIjLmUi3015YYIuJxCmUi4j+jzZQplImIhymUiYg/pQxl7pQiInIwFMpE\nxH8cJ/VCf6UyEfEwVxb6f+tb38La9y/MFK677roJqEZE/CdV+NLtSxHxNldmymbPns1RRx3FUUcd\nxfTp0+no6MBxHILBII7j0NHRwfTp090oTUT8wAC2No8VkfTiykzZpz71qZF//upXv8pNN93E7gNr\nngAAIABJREFUqaeeOjL2xz/+kYcfftiN0kTED4xDyqcvHYUyEfEu19eUvfzyy7z73e9OGisuLubl\nl192qaK/27lzJ7W1tXR2drpdiogcilQ7YtiaKRMRb3M9lJ1wwgn86Ec/YteuXQDs2rWLBx98kOOP\nP97dwoBHH32U+fPnu12GiByyFGdf6pglEfE413f0X7ZsGd/85je5+uqrmTFjBlu3buWkk07iC1/4\nwph+TmtrK52dneTm5tLU1DQy3tXVRXt7O8YYwuEwixYtAuDFF1+kqKhoJCyKSBpxUpx9qacvRcTj\nXA9lBQUFNDY2MjAwwJYtW8jLy2PWrFlj/jnhcJgFCxZw9913j4w5jkNbWxu33HILeXl51NbWMm/e\nPI4++mh6enrYuXMnf/3rX8nOztbRTyJpRTv6i0j6cT2UASQSCXp6etiyZQsLFy4kHo9jjCE/P3/M\nPqOkpIRYLJY0Fo1GKSwsJBQKAVBeXk5HRwdHH300l112GQBPP/00gUBgzOoQkQkw6o7+7pQjInIw\nXA9lPT09NDc3c+KJJ/LSSy+xcOFC+vr6eOyxx7jpppvG9bPj8XhS8AsGg0Sj0aT3nH/++Qe8Rnd3\nN93d3fT39xOLxWhoaMjYEJednZ2xvYP691L/2yZNYvL06WTvVY9x9vAmZtxq9FL/Ey2Tewf1D1Bf\nX08oFKKgoIDS0lJKS0vdLiktuR7K2tvbWb58OaeddhrXXHMNMPz05SuvvOJyZQcn1Q9fIpFwqRp3\nBQKBjO0d1L+X+nd272Zoxw527lWPMQaMGbcavdT/RMvk3kH9BwIBGhoa3C7DF1wPZbFYjNNOOy1p\nLCsriz179hzRddeuXcu6deuwLIva2lpmzpy533uCwSADAwMjr+PxOMFg8Ig+V0TcZzDY+9y+/Nsp\nIsaYgzpRRERkorkeyoqKiujq6uKMM84YGfv973/Psccee0TXrayspLKyMmnMGDP82/LbiouL6evr\nIxaLkZeXRyQSoaam5og+V0Q8INWasoP5moiIi1wPZVdeeSW33347ZWVl7Nq1i+9973v87ne/4/rr\nrx/Tz2lpaaGnp4dEIsHSpUupqqoiHA5TXV1NY2MjxhgqKiooKioa088VEReYVE9foqOWRMTTXA9l\nJ598MnfccQe//vWvmTp1KrNmzeLWW28d0ycvgVFnwMrKyigrKxvTzxIRl42SybSBrIh4meuh7LHH\nHuPjH/84CxcuTBr/z//8Tz72sY+5VJWIpDXjpNjRn+Ggpr3KRMSjXD9mabSDx3UguYgckVQzZZat\nUCYinuXaTNmGDRuA4V31//bPf/P6668zbdo0N8oSET8YdU0Z6P6liHiVa6GstbUVGD6A/G//DMOP\nrefm5lJdXe1WaSKS7kyqA8lBRy2JiJe5FsruueceAO6++26uu+46t8oQET8yKQ4kBx21JCKe5vqa\nso997GNJG7gCDAwMsHHjRncKEhEfGGUvMt2+FBEPcz2Ufetb39pv9/6hoSHuvvtulyoSkbTnjLZB\nrG5fioh3uR7KBgYGOOqoo5LGZs+eTSwWc6kiEUl/oy3019OXIuJdroeyYDDIq6++mjT26quvkpeX\n51JFIpL2RjtKSfuUiYiHub557MUXX8wdd9zBxz/+cY466ihef/11fvrTn3LJJZe4XZqIpKtRQ5mO\nWRIR73I9lF144YXk5OTwy1/+ks2bN5Ofn89VV13F+9//frdLE5F0Neqh43r6UkS8y/VQBjB//nzm\nz5/vdhlJjDE89NBDDA4OUlxczHnnned2SSJypPT0pYh4mOuhzBjDunXrePbZZ3nrrbdoamqip6eH\nN954gw984AOu1dXR0cHmzZsJBAIEg0HX6hCRw2AcsLV5rIikF9cX+j/00EM89dRTXHDBBSP7leXn\n5/Poo4+O6ee0trayePFiVq5cmTTe1dXF8uXLqampYc2aNSPjmzZt4pRTTuGqq67iF7/4xZjWIiLj\nbLRjlmyFMhHxLtdD2dNPP82NN95IeXk51ttrQAoKCujv7x/TzwmHw9TV1SWNOY5DW1sbdXV1NDc3\nE4lE6O3tBYaD4YwZMwCwU/7GLSKeNUom00yZiHiZ62nDcRymTp2aNLZjx479xo5USUkJOTk5SWPR\naJTCwkJCoRBZWVmUl5fT0dEBwPve9z66urpYvXo1c+fOHdNaRGScGSf12Zd6+lJEPMz1NWVlZWXc\nf//9XH311cDfF9ifddZZ4/7Z8Xic/Pz8kdfBYJBoNApAdnY2S5YsGfcaRGScpJwpQ5lMRDzL9VB2\n1VVXcc899/DZz36WoaEhrrrqKk4//fS0OaS8u7ub7u5u+vv7icViNDQ0EAgE3C7LFdnZ2RnbO6h/\nL/WfsG2mTc8ha5963rRtZuTkYI9DnV7qf6Jlcu+g/gHq6+sJhUIUFBRQWlpKaWmp2yWlJddD2fTp\n07n++ut58803icVizJo1i5kzZx7xddeuXcu6deuwLIva2tqU1wwGg0mHocfj8UN+0jLVD18ikTi8\notNcIBDI2N5B/Xup/z1DQwxu3461Tz0G2Lo1gZWVPeaf6aX+J1om9w7qPxAI0NDQ4HYZvuB6KAPY\ntm0bL774Ilu2bCEvL4+ysrKRRfaHq7KyksrKyqQxYwxmr0W+xcXF9PX1EYvFyMvLIxKJUFNTc0Sf\nKyIecKDNYx3dvxQRb3I9lG3YsIGmpibmzJnDrFmz2Lx5M21tbfzzP/8zp5122ph9TktLCz09PSQS\nCZYuXUpVVRXhcJjq6moaGxsxxlBRUUFRUdGYfaaIuETHLIlIGnI9lLW1tXHttdcmbRT729/+lra2\nNu66664x+5zRZsDKysooKysbs88REQ84UChTJhMRj3J9S4wtW7bsd87lOeecwxtvvOFSRSKS/kYL\nZW9/TUTEg1wPZeeddx4///nPk8Z+8Ytf6KxJETl8o+3or81jRcTDXL99+ec//5n/+q//4rHHHiMY\nDBKPx3nzzTd597vfTX19/cj79GSHiBy0A96+VCgTEW9yPZRdcMEFXHDBBW6XISJ+MurTlyIi3uV6\nKPvQhz7kdgki4kepMpltDx/BJCLiQa6vKfvOd77Dzp07k8a2bNnCV7/6VZcqEpG0Z0zqsy9B6/xF\nxLNcD2U7duxg5cqVvPzyywBEIhFWrlzJCSec4HJlIpK2RlvorzVlIuJhrt++XL58Ob/+9a/5+te/\nzpw5c9iyZQvXX389JSUlbpcmIunKmFEOJNfmsSLiXa7PlMHwGZSTJ0/m9ddfp6CggNmzZ7tdkoik\ntVFuX2rzWBHxMNdD2f33389dd93FNddcwz333MPxxx/PypUr+e1vf+t2aSKSrpxRZsq0eayIeJjr\nty97e3u54447mDlzJgBXXnklZ511Fvfccw/z5893uToRSU+jrSmzdSC5iHiW66GstrZ2v7G5c+fS\n1NTkQjV/NzAwwOrVqwkEAsyePZtFixa5Wo+IHAJjwB5tnzKFMhHxJtdvXwK8+OKLfPvb3+a2224D\n4JVXXuGVV15xtabXXnuN+fPns2TJEjZu3OhqLSJyiPT0pYikIddD2RNPPMGqVauYM2cOf/jDHwDI\nzs7mwQcfHNPPaW1tZfHixaxcuTJpvKuri+XLl1NTU8OaNWtGxk8++WTWrVvHV77yFc4444wxrUVE\nxtmBjlnSTJmIeJTroezxxx/n5ptvZtGiRdj2cDlHH300mzZtGtPPCYfD1NXVJY05jkNbWxt1dXU0\nNzcTiUTo7e0F4KmnnuLSSy/l5ptvprOzc0xrEZEJMNoxS8pkIuJRroey7du3M2vWrKSxoaEhsrLG\ndrlbSUkJOTk5SWPRaJTCwkJCoRBZWVmUl5fT0dEBwBlnnMHjjz/OqlWrKCgoGNNaRGScGUcHkotI\n2nF9of+pp57KmjVruOSSS0bGnnjiCUpLS8f9s+PxOPn5+SOvg8Eg0WgUgGOOOYYVK1aMew0iMg4M\naE2ZiKQb10NZdXU1t99+O+vWrWPHjh3U1NQwbdo0brrpJrdLOyjd3d10d3fT399PLBajoaGBQCDg\ndlmuyM7OztjeQf17qf83LZgRCGDvU09iUhbTpk8jaxzq9FL/Ey2Tewf1D1BfX08oFKKgoIDS0tIJ\nmVjxI9dDWV5eHl/72td45ZVXiMVi5OfnU1xcPLK+7HCtXbuWdevWYVkWtbW1I/ug7S0YDDIwMDDy\nOh6PEwwGD+lzUv3wJRKJwys6zQUCgYztHdS/l/o3exy2btuGlT01aXyP4zC4bRvWONTppf4nWib3\nDuo/EAjQ0NDgdhm+4HooA7Asi+LiYoqLi8fsmpWVlVRWViaNGWMwe926KC4upq+vj1gsRl5eHpFI\nhJqamjGrQUTcMtqO/jpmSUS8yxOhbCK0tLTQ09NDIpFg6dKlVFVVEQ6Hqa6uprGxEWMMFRUVFBUV\nuV2qiBwpM8rZl8NfnNBSREQOVsaEstFmwMrKyigrK5vgakRkXJkDzZQplImIN7m+JYaIyJjTjv4i\nkoYUykTEh0a5falQJiIeplAmIv7jHOD2pdaUiYhHKZSJiA+Ncvbl218SEfEihTIR8R+DjlkSkbSj\nUCYi/mMcRrl/iabKRMSrFMpExH9GmymzNVMmIt6lUCYiPjTamjKFMhHxLoUyEfEf42hNmYikHYUy\nEfEfA6nXlImIeJdCmYj4jzHD68f2pZkyEfEwhTIR8Z8D3b7U05ci4lEZcyD5gfT39/PII48wODjI\nihUrANi5cyf33nsvkydPZu7cuZx77rkuVykiB8Ps3gWWhZU1ef8vWtbwbv8iIh6kmTKgoKCAJUuW\nJI0999xzzJ8/n2uvvZbnn3/epcpE5JANboNpOaN8UTNlIuJdvpwpa21tpbOzk9zcXJqamkbGu7q6\naG9vxxhDOBxm0aJFo14jHo9z3HHHAWDbyq4iaWP7AUKZMpmIeJgv00Y4HKauri5pzHEc2traqKur\no7m5mUgkQm9v76jXyM/PZ/PmzQAYLQwWSR/bB2Ha9NRf05oyEfEwX4aykpIScnKSf1OORqMUFhYS\nCoXIysqivLycjo4OALZu3cqqVavYuHEja9asAeCcc85h/fr13HvvvZx11lkT3oOIHKbBbTD9ALcv\n9UuWiHiUL29fphKPx8nPzx95HQwGiUajAMyYMYPFixcnvX/KlCksW7bsHa/b3d1Nd3c3/f39xGIx\nGhoaCAQCY1t8msjOzs7Y3kH9e6X/XTjsDuSSk6KWrZOzmDJ1GpPHoU6v9O+GTO4d1D9AfX09oVCI\ngoICSktLKS0tdbuktJQxoWy8pPrhSyQSLlXjrkAgkLG9g/r3Sv/O5gHInpKylj17HJztg+wYhzq9\n0r8bMrl3UP+BQICGhga3y/AFX4SytWvXsm7dOizLora2lpkzZ+73nmAwyMDAwMjreDxOMBicyDJF\nZCK805oy40xsPSIiB8kXoayyspLKysqkMWNM0gL94uJi+vr6iMVi5OXlEYlEqKmpmehSRWS8Hejp\nS9A6fxHxLF+Esn21tLTQ09NDIpFg6dKlVFVVEQ6Hqa6uprGxEWMMFRUVFBUVuV2qiIy1wW1w1JzU\nX9MxSyLiYb4MZaPNgJWVlVFWVjbB1YjIhDrQ7UttVCYiHubLLTFEJHOZ7duwRtsSQ5lMRDxMoUxE\n/OWAO/orlYmIdymUiYi/DB746UujA8lFxKMUykTEXw4wU2bp/qWIeJhCmYj4y/YDHLOkpy9FxMMU\nykTEN4zjwPbtMPVAm8cqlImINymUiYh/7NwB2VOwJk1yuxIRkUOmUCYi/rF92wH2KEMzZSLiaQpl\nIuIfgwdYTwYKZSLiaQplIuIfg5opE5H0pVAmIr5h+v6CddTRB3iHtsQQEe/y5dmXh6q/v59HHnmE\nwcFBVqxYAUBHRwednZ1s376diooKTj/9dJerFJF39D+vwrEnjf51ZTIR8TDNlAEFBQUsWbIkaWze\nvHl87nOfY/HixTz77LMuVSYih8L85VWs4048wDuUykTEu3w5U9ba2kpnZye5ubk0NTWNjHd1ddHe\n3o4xhnA4zKJFi97xWg8//DAXXXTReJYrImPADA1B7/9A0Qmjv0lrykTEw3w5UxYOh6mrq0sacxyH\ntrY26urqaG5uJhKJ0Nvbe8DrPPDAA5x55pkcf/zx41itiIyJvr9CcBbW1Gmjv0ehTEQ8zJehrKSk\nhJyc5Mfio9EohYWFhEIhsrKyKC8vp6OjA4CtW7eyatUqNm7cyJo1awB44okn2LBhA+vXr+fJJ5+c\n8B5E5NCY117BOtB6MlAoExFP8+Xty1Ti8Tj5+fkjr4PBINFoFIAZM2awePHipPcvWLCABQsWvON1\nu7u76e7upr+/n1gsRkNDA4FAYGyLTxPZ2dkZ2zuof7f7H/zLq9invIepB6hhMDubSVOmMGUc6nS7\nfzdlcu+g/gHq6+sJhUIUFBRQWlpKaWmp2yWlpYwJZeMl1Q9fIpFwqRp3BQKBjO0d1L+b/RtjcDrX\nYy+/iN0HqMGxbHZv2cyucagzk7//mdw7qP9AIEBDQ4PbZfiCL25frl27lhtuuIEbb7yRN954I+V7\ngsEgAwMDI6/j8TjBYHCiShSR8bTpL8O3JmcXHfBt1twzMC92TFBRIiKHxhczZZWVlVRWViaNGWMw\ne60dKS4upq+vj1gsRl5eHpFIhJqamokuVUTGgdnwO6zTzsKyrAO/8dQzoO1OzJtbsHLzJqY4EZGD\n5ItQtq+WlhZ6enpIJBIsXbqUqqoqwuEw1dXVNDY2YoyhoqKCoqID/1YtIunB/P557A8vfMf3WZMn\nY73nLMwL67E+9M5rRkVEJpIvQ9loM2BlZWWUlZVNcDUiMp7Mm1vgL6/Cqe89qPdb8z6I89gPMed9\nBMueNM7ViYgcPF+sKRORzGWe/w3W6edgZU85uD/w3nNgyjTMM78Y38JERA6RQpmIpDXz/57BOue8\ng36/ZVnYl38O89gPMa9vGsfKREQOjUKZiKQt8/xvID5w0Lcu/8Y65gSsRZ/B+WYDZnDrOFUnInJo\nFMpEJC2ZDZ04P/oe9hduwco69OWx9nkXYZ14Cuapx8ehOhGRQ6dQJiJpx/zvX3Hu+wb20puwjjnA\nAeTvwKq8BPPU45ih3WNYnYjI4VEoE5G0YnbuwGn9GtYnrsQqnntE17KKjoc5x2Cee3psihMROQIK\nZSKSVsyPvod1fDH2Bz8yJtezF12BeeR+zBubx+R6IiKHS6FMRNKG+e8OzMsbsC5fMmbXtE48Bev8\nBTirmjC7do7ZdUVEDpVCmYikBfPmFpwHWrGvug5r6rQxvbb1sSqsmfk4374Vs3PHmF5bRORgKZSJ\niOeZP/8J56v/jBX+KFbJ6WN+fcuehFX9RazcIM5tN2C26FamiEw8hTIR8TRn/a9wvtmA/elrsRd8\nctw+x5o0CeuzX8A643049zZjnD3j9lkiIqkolAH9/f185zvf4c4770wa37lzJ7W1tXR2drpUmUhm\nc55Zi3nkfuyVt2KVvX/cP8+yLKx/uAwA858PjfvniYjsTaEMKCgoYMmS/RcOP/roo8yfP9+FikTE\n/O5ZzE8fxP7nRqyjj52wz7XsSdiLV2KeexrnF2sm7HNFRA59G+w00NraSmdnJ7m5uTQ1NY2Md3V1\n0d7ejjGGcDjMokWLRr3Giy++SFFREbt27ZqIkkVkL6ZrPc6/fRt7eQPWUXMm/POtmUHsFY04d9Xj\nxPqwqv4Ra/LkCa9DRDKLL2fKwuEwdXV1SWOO49DW1kZdXR3Nzc1EIhF6e3tHvUZPTw9/+tOfiEQi\nrFu3brxLFhHADG7DWd2C8+P7sD9fh3XcSa7VYuWHsGvvwLz1Bk7jFzG9r7lWi4hkBl+GspKSEnJy\ncpLGotEohYWFhEIhsrKyKC8vp6OjA4CtW7eyatUqNm7cyJo1w7crLrvsMq6++mrOPfdcLrjgggnv\nQSTTmN7XcL6yHLImY9/SglV8qtslYU3PwV5yI9aHF+LcVY/Z3O92SSLiY768fZlKPB4nPz9/5HUw\nGCQajQIwY8YMFi9enPLPnX/++RNSn0gmM9E/4Hz7Vqyqf8R+/4fcLieJZVlY534YZ8d2nOZ/wf5C\nPdbso90uS0R8KGNC2Xjp7u6mu7ub/v5+YrEYDQ0NBAIBt8tyRXZ2dsb2Dur/cPvf/cJzDLbeRs51\nX2Lye88Zh8rGyCc+w87cmexo+hJTq2vIfl/yL2yZ/P3P5N5B/QPU19cTCoUoKCigtLSU0tJSt0tK\nS74IZWvXrmXdunVYlkVtbS0zZ87c7z3BYJCBgYGR1/F4nGAweMSfneqHL5FIHPF101EgEMjY3kH9\nH2r/5o045sdtmD+/jH3t9ew48VR2eP3f37zzsIIFDN73DQaf+QV21f/FCs4CMvv7n8m9g/oPBAI0\nNDS4XYYv+CKUVVZWUllZmTRmjMEYM/K6uLiYvr4+YrEYeXl5RCIRampqJrpUEWH4DEvn+9/EOvfD\n2Fd/AWvKFLdLOmjWSSXY9d/EPP7vOLffiL3yq1ih2W6XJSI+4ItQtq+WlhZ6enpIJBIsXbqUqqoq\nwuEw1dXVNDY2YoyhoqKCoqIit0sVyTjOk49ifvHo8NOVJ5W4Xc5hsbKnYC26AmdmPs7Xa7E/dwOU\nefjWq4ikBcvsPZ0kY2LTpk1ul+AKTeGr/wP1b7YlMI/8APPS77G/+GWs/NAEVjd+zIsdOO3fZMqH\nFrD7I58Y88PS04F+9jO7/zlzJn4vQb/y5ZYYIuIdxnFwnvk5zs3LwLaxa7/um0AGYJ0+D/uWFpwt\nm3HqP4/5/e/cLklE0pQvb1+KiDeYbQmctm/A1reGd+c/9kS3SxoX1swgOdd9ibeefxZnVRPWoiuw\nz/2w22WJSJrRTJmIjAsz8DrObTdiHTUH+4bbfBvI9madchr2yq8OPwTwQCtm5w63SxKRNKJQJiJj\nyuzcifOfD+J8dQXWhz6Kfen/xcrKnEl5a3YR9r98A3bswLl5Gc76X6GluyJyMDLnb0oRGXempwvn\n+9/COuFk7C81Z+xWEdb0HKx//CIm2oPz4L2Y3/wX9tJarJwZbpcmIh6mmTIROWLGGHb8x/dxVrdg\nX33d8HmRGRrI9mYVz8X+UhPWMSfi3H4jZpMONReR0WmmTESOiInHcH7cxu434tg334n1rjy3S/IU\ny7axLv1HnF8fg3PHl7A+sgjrwo9jTc52uzQR8RjNlInIYTE7d+D85Ac4X16OdVQRM275hgLZAdgf\n/Ah27dcxf34Z5+ZlmN8963ZJIuIxmikTkUNmXnsF53tNWMeeiH1LC1ZwFtaUqbBrt9uleZpVMIdJ\ny76EeWnD8DFTr72KtfByLFu/H4uIZspE5BCZzmdxvlGP9Q+XYV97/ciB3HLwrFPeg117B+blDTh3\n1WM2x9wuSUQ8QDNlInJQzF//jPMf7RDrw/7CLVgnnOx2SWnNCuQO72n2xH/gfGU51nmVWAs+iTVt\nutuliYhLFMqA/v5+HnnkEQYHB1mxYgUw/DTZQw89xODgIMXFxZx33nkuVyniDrN71/CZlc/9Cuvi\nS7HOr8TKmux2Wb5gTZqE9bFLMR+4APPoAzi3LBveOuPEU9wuTURcoNuXQEFBAUuWLEka6+joYPPm\nzWRlZREMBl2qTMRdZstmnNtuxMRj2F++B/uCjymQjQMrOAv7mhrsKz6P862v4DyzVhvOimQgX86U\ntba20tnZSW5uLk1NTSPjXV1dtLe3Y4whHA6zaNGiUa+xadMmTjnlFC688ELuvPNO3vOe90xE6SKe\nYJw9mMg6zKM/xKq4ePi2mmW5XZbvWe+dh339rThtd2Ke/w32Jz+LdexJbpclIhPElzNl4XCYurq6\npDHHcWhra6Ouro7m5mYikQi9vb2jXmPWrFnMmDG8+7atJ6Mkg5iXfo/TUIP57S+xl9Vif/RTCmQT\nyJpzLHZtE1bZfJyWBpz7voHZPuh2WSIyAXyZNkpKSsjJyUkai0ajFBYWEgqFyMrKory8nI6ODgC2\nbt3KqlWr2LhxI2vWrAHgnHPOoauri9WrVzN37twJ70FkohlnD85/tOPc24y96Ars67+mtU0usbKy\nsMMfxW78DkzOHj4NoP9/3S5LRMaZL29fphKPx8nPzx95HQwGiUajAMyYMYPFixcnvT87O3u/dWYi\nfmXiMZx/a4Xdu7Bv+SZW4F1ulyQw/CTmFcvgV4/jfO16rI9/GuuDlRl1wLtIJtF/2Ueou7ub7u5u\n+vv7icViNDQ0EAgE3C7LFdnZ2RnbO6Rn/2ZwKzse/RG7nvwpUz78caZ+8urDXsifjv2PpXHt/+OX\nsafsfWz//t04Tz3OlE8vZvK8cz1zW1nf+8zuH6C+vp5QKERBQQGlpaWUlpa6XVJa8kUoW7t2LevW\nrcOyLGpra5k5c+Z+7wkGgwwMDIy8jsfjY/JUZaofvkQiccTXTUeBQCBje4f069/84b9xVrdgnfpe\nrFtaGArOYuv2HcCOw7peuvU/1sa9/5mzMF+oh+4XGPzh97Cefxbr09d6YtZM33v139DQ4HYZvuD+\nf81joLKyksrKyqQxY0zSI+XFxcX09fURi8XIy8sjEolQU1Mz0aWKuM4Yg1n3U8zPH8G+pgartMzt\nkuQgWZYF7zkT+6QmnFVNmDtqsau/iHXUHLdLE5ExYBkfbobT0tJCT08PiUSC3NxcqqqqCIfDvPDC\nCyNbYlRUVBxwS4wjsWnTpnG5rtfpt0Xv92+if8D5j9XDa8eW1mLNOmrMrp0O/Y+nie7fOA7mqZ9h\nfvog1vwKrIs/hTXDnbWA+t5ndv9z5uiXgrHiy1DmNoWyzOTl/s3WtzA//C7mlT9gLfwM1vs/hGVP\nGtPP8HL/E8Gt/s1bWzA/fRDzfAT7iqVYZ5VPeA363md2/wplY8cXty9FZHRm459wvv01rLPKsb/S\nipU9xe2SZAxZ78rD+sxSzLkfwbnnq1h/3Th8HJYH1pqJyKHx5T5lIgJm506cx/8dp6WpDDmYAAAg\nAElEQVQB+7LF2Jf+owKZj1nHnYT9pSbMn1/G+dpKzB9fdLskETlE+lVKxGeMMZj1v8L85AdwwsnY\nN31dC8EzhDUziF3zr5iOX+N8/1tQeAz2p6/FCs12uzQROQgKZSI+Yga34qxugYF+7M/dgHVSidsl\nyQSzLAvrnPMwZfMxTz6Gc9sNwz8LJ+v8XhGvUygT8Qnzlz/jrGrCKjkN69obsCYf3iaw4g/W5MlY\nC/4P5pgTcL53x9tPaFZhTZ3mdmkiMgqtKRNJc2ZzDOe+b+DcVY/1kUXYly9RIJMR1nvOxL7lLnhj\nM86/LMX51eOYoSG3yxKRFDRTJpKmjDGYp5/APPoA1oeGD6+2pk13uyzxIOtdeVj/uALz2is4P74P\n89wz2Mu+pDNORTxGM2Uiacjs3o1ZfRfmmbXYN9yOvfAzCmTyjqxjT8Je8RWsd5+K0/hFPaEp4jGa\nKRNJI8YYzPO/wfzkB1jHFWPfeDvWlKlulyVpxLJtrEuuxry7FOe+u7BOKsH6xJVYBYVulyaS8RTK\nRNKE2fQaTvs3Yc8e7Cs/j3Xqe90uSdKYddrZ2F/59vATml9bifWhi7H+4TIsWzdQRNyiUCaSBpxn\nf4n59/uwPnEF1rkf0f9xypiwpkzFurgK88EP47TehundiH31P2HlBNwuTSQjKZQB/f39PPLIIwwO\nDrJixQoABgYGWL16NYFAgNmzZ4/b4eUiB2Le3IJ59AHMH1/Evv5WrDnHul2S+JD1rjzsFV/BPPx9\nnH/9wvDtzPefP+bno4rIgenXbaCgoIAlS5Ykjb322mvMnz+fJUuWsHHjRncKk4xldu/CeexHOPXX\nwZRp2HXNCmQyrqzJ2cPHcX3ueswzP8f5yhcxL21wuyyRjOLLmbLW1lY6OzvJzc2lqalpZLyrq4v2\n9naMMYTD4QPOfp188sk0Nzfz1FNP8cEPfnAiyhYB3l479r07oKAQ+1/uxJp1lNslSQaxiudi33g7\nvPBbnFV3DG84+6GPYlmW26WJ+J4vZ8rC4TB1dXVJY47j0NbWRl1dHc3NzUQiEXp7e0e9xlNPPcWl\nl17KzTffTGdn53iXLDL8ZGXnszhNdVgXfhx7aa0CmbjCsiysMz+AfcNtmGfW4nz7a5j4gNtlifie\nL0NZSUkJOTk5SWPRaJTCwkJCoRBZWVmUl5fT0dEBwNatW1m1ahUbN25kzZo1AJxxxhk8/vjjrFq1\nioKCggnvQTKL+fPLOE11OGsewF5Wi33uhzUzIa6zCgqxv9SMVXQczpdrcB75PmZwq9tlifiWL29f\nphKPx8nPzx95HQwGiUajAMyYMYPFixcnvf+YY44ZWfQvMl7Mzp2Yh9sxnb/FWng51gcuwJqkxdXi\nHdbkyVgLP4P5YCXmsR/i/OsXsD9fh3XcSW6XJuI7GRPKxkt3dzfd3d309/cTi8VoaGggEMjMx8mz\ns7Mztnc49P6deIxtzXVMml3EtOZ27Bnp/e9O33+f9x8IwD/VsWv902xv+VemfOoasj/8cSzL8n/v\n7yDT+weor68nFApRUFBAaWkppaWlbpeUlnwRytauXcu6deuwLIva2lpmzpy533uCwSADA39fExGP\nxwkGg0f82al++BKJxBFfNx0FAoGM7R0Ovn+zexfmlz/D/PxhrI8swlz0f9hmgDT/d6fvf4b0X3om\n1vW3sr3tG2z/1RPYn7yGd535vszofRQZ870fRSAQoKGhwe0yfMEXoayyspLKysqkMWMMxpiR18XF\nxfT19RGLxcjLyyMSiVBTUzPRpUqGM//dgfOj78IxJ2LfcBtWYZHbJYkcMqvwGOwvNWGeexrn3ma2\nvXsu5vIlWNNz3vkPi8ioLLN3cvGJlpYWenp6SCQS5ObmUlVVRTgc5oUXXhjZEqOiomLcNoTdtGnT\nuFzX6/Tb4uj9mz17MD9uw7zYMbxjesnpE1zd+NP3PzP7N7t3kfWT+9nV3YW95EaswmPcLmnCZer3\n/m/mzJnjdgm+4ctQ5jaFssw0Wv/mrxtxHlwFWVnY197g29kEff8zt/8ZM2bw1uMPY35yP9YF/4D1\n4UVYU6a6XdaEyeTvPSiUjSVf3L4U8SLz5hbMT+7HvPg81kc/iRX+mJ6sFF+yLAv7vErMqe/FPHI/\nzr8swVr4GazyC7W1i8ghUCgTGQem6zmcH9yDNT+M3fgd386OiezNCs3G+twNw/vu3X8PRHvgM8uw\nJk92uzSRtODLzWNF3GKGhnB+9mOcH34Xe9mXsD95jQKZZBzrhJOxb7wNs307zq3/jPmfV9wuSSQt\naKZMZAwYY9j1/36N88B3ITgLu/YOrLz8d/6DIj5lTZ2GveRGzG9/ifOtL2Od+l6sRVdg5euEFJHR\nKJSJHCGzZTNOews7tr6FfdliKC3TOhoR3j5D8wMXYM6cj1m7Bqfxi1iXXYv9vvPdLk3EkxTKRI6A\nifbgfOd2rA8tIFBVzdbBQbdLEvEca+p0rIWXY876AM7djTgbo1iXXIk1Odvt0kQ8RWvKRA6DSbyF\n8+AqnHtuxb76C9gfu0xPVoq8A6voeOx/uRO2DODUX4d5/jdoVyaRv1MoEzkExnFwnnwU55al4OzB\nbrgb67Sz3C5LJG1YM96FveRG7CuW4TzxHzhfux7zembu7SiyL92+FDlIZlsC57tfh107sW+8HWu2\njkgSOVzW3DP+f3v3HlZVne9x/P1bCCiG4EYo0LySmZR5TKyETNBC1Do8lbdmNO2c8WSiZWPmpTK1\nVPKuKZOi6ZgznTxm1knHmTSPieVg6DSBPSNlE2HKZXtB5CJ7/c4fPO0nEi+jbNZm7e/rH9lrr73W\n5+taC757rbV/G6PLYvT//Qnz9akY//Ecqmt3q2MJYSlpyoS4CvrrLzE3rkJ174V69AmUIZcqhbhe\nyjBQCQPRN7XGXLcU1f1u1MOPo4JbWB1NCEvI5UshLkP/mI9r+WzMDSswHhmFMeRJaciEqGfqtjsx\nXlkOCsyXx2Hu2IKuvmB1LCEanJwpE6IOWmv0X7ahd/wPatAQ1LhpMiq5EB6kmgejHn8KnTgY878z\n0F8dxHh6Oqp5sNXRhGgw0pQBWVlZZGdnU15eTmJiIt26daOyspKMjAz8/f3p2rUr8fHxVscUDURX\nVqI3rUIfz8eYvhAVfpPVkYTwGeqmNhgTXka/twFz9rMYY55BdelmdSwhGoQ0ZUBsbCyxsbGUlZWx\nceNGunXrxoEDB7j33nvp0aMHS5culabMB2jThf7sE/S2P6BuvR3j+XmowECrYwnhc5RhoB4bg771\nDsy3lkL7zhiPPoGKiLQ6mhAeZcumLD09nezsbEJCQli4cKF7+uHDh1m/fj1aaxISEkhJSan1ui1b\ntjBgwAAAnE4n7dq1A8Aw5NY7u9PHv8dcuwQCAjD+awqqUxerIwnh89QdPTHmpKP/sg1z3mRU8mOo\nB1LkGzOEbdmy20hISGDGjBm1ppmmydq1a5kxYwaLFi0iMzOTgoIC9/ObNm2iR48etG/fHoCwsDBK\nSkoAZHBDm9Nf7MdcMB11/wCMKfOlIRPCi6iAQIxBQzFeXIrevxu9YQW6XL45Q9iTLZuyLl260Lx5\n81rT8vLyiIyMJDw8nCZNmhAXF0dWVhYAO3bs4KuvvuLzzz/n448/BqBXr158/vnnZGRkcNddMjio\nHenSs5h/+B3mf2dgTJqF0SdJ3oEL4aVUWDjGC2lgGJivTEDnHLI6khD1zpaXL+vidDoJCwtzP3Y4\nHOTl5QGQnJxMcnJyrfkDAwN5+umnr7jcnJwccnJyKCwspKioiFmzZhEc7JufFgoICGgUtWvTReWO\nLVS+/wf84xJpmpaB0SLkupfbWOr3FKnfd+tvsNqDg2H8NC58eZDyNYtQ7TrR7Nfj8LuptefXfRm+\nvO1/MnPmTMLDw4mIiCAmJoaYmBirIzVKPtOUeUpdO19paalFaawVHBzs9bXrs6cw31wAgPH8PFyR\nbSgDqIfcjaF+T5L6fbf+Bq+9w60w6w1cH39I6cupNUNnWHjbgS9ve6ipf9asWVbHsAVbNGU7d+5k\n165dKKWYNm0aoaGhF83jcDgoLi52P3Y6nTgcjoaMKSym849hps9D3X0/6qHhMgisEI2Y8g9AJT+K\nbtMOc+VrqMRBqAGPoZrY4s+a8FG22HuTkpJISkqqNU1rXesG/ejoaE6cOEFRUREtW7YkMzOTZ555\npqGjCgvo0jPobZvQ2Z+hhj6JcU+C1ZGEEPVE3dET48UlmBtWoA9PwRg5HtWuk9WxhLgmStvwo4XL\nli0jNzeX0tJSQkJCGDp0KAkJCRw6dMg9JEZiYuJFQ2LUl+PHj3tkud7OG0/h6+z9mG+no3r1qTk7\n5sHRwb2x/oYk9ftu/d5Qu9Yave8v6G2bULH3oYY8iWqg4Yy8oX4rRUVFWR3BNmzZlFlNmjLraa3R\nH/4RvX83xtjnUR1v9fg6val+K0j9vlu/N9Wuz5fVXM5sEYp6IhXVNMjj6/Sm+q0gTVn9seWQGMK3\n6dNO9JqF6L9l1XxNUgM0ZEII76CCmmM8MxMCAzHnTEIfO2p1JCGumjRlwja06cL8eBvmrAnQKgJj\nyjxUi4s/9CGEsDcVEIgx+hlUykjMFbMxt21CV1ZaHUuIK7LFjf5C6LJzmBkLobIC44U01E1trI4k\nhLCYERuP7tQFvXkd5rzJGM/NkTdqwqvJmTLR6OnSM5gLZ6BubI3x29ekIRNCuClHK9TY51H/di/m\nwhnowh+tjiTEJUlTJho1/fcvMF99DtW9F2rYf6L8ZOwxIURtSinUwyNQfZMx509B/y3L6khC1Eku\nX4pGSZ8vQ//xTXTeEYwnJqC6drc6khDCiymlUImD0W07Yb75OupoH9TDj6MCAq2OJoSbnCkTjY4u\nKcScPwUCAjFeWSENmRDiqqno2zBeWgIlRZhzJ6PLzlkdSQg3acpEo6JPOzEXvYiKf6Bm5O7AplZH\nEkI0MqpFaM19Zrd1x3xjDrqi3OpIQgDSlIlGRH/9JWbaC6i4/hgPeubbGIQQvkEphRoyBhV5M+bi\nl9DnzlodSQhpyoT306YLc9smzLWLMYaPxRg01OpIQggbUIaBGjke1aUb5qvPyUCzwnJyo7/warq6\nGr1uCfpUCcaLS1AhLa2OJISwEaUU6pFR6Pa3YK6YjUr5FUafAVbHEj5KmjIgKyuL7OxsysvLSUxM\npFu3bnVOEw1La13TkFWUYzw3G+UfYHUkIYRNqR73YrRph7noJXTzYNRdcVZHEj5ImjIgNjaW2NhY\nysrK2LhxI926datzmmg4Wmv0+2+ji09iPD9XGjIhhMepiCiMp6dhLn0FIywC1f4WqyMJH2PLpiw9\nPZ3s7GxCQkJYuHChe/rhw4dZv349WmsSEhJISal9s/iWLVsYMGDAFacJz9IV5zHXLYWSQoyJM6Uh\nE0I0GNUuGuOJVMwVczAmzUK16WB1JOFDbHmjf0JCAjNmzKg1zTRN1q5dy4wZM1i0aBGZmZkUFBS4\nn9+0aRM9evSgffv2l50mPEufLsFMm4a6oQXG1AVyD5kQosGp7vdgjBiLufhldM4hq+MIH2LLM2Vd\nunShqKio1rS8vDwiIyMJDw8HIC4ujqysLFq3bs2OHTv46quvKC8v58SJE/Tv37/OacKzdOkZzMUv\no2LvQw0ehlLK6khCCB+lesZjtGiJ+WYa6t9/hdEnyepIwgfYsimri9PpJCwszP3Y4XCQl5cHQHJy\nMsnJybXmr2ua8BxdXY258jVU914YDw23Oo4QQqA6x2BMmY+56EW0oxXq9rusjiRszmeaMk/Jyckh\nJyeHwsJCioqKmDVrFsHBwVbHskRAQMA1116+6Xe4gkNoPvJplNE4r6pfT/12IPX7bv22rj34Vi6k\nzuD8G69yw9w3MVqGXTSLreu/SjNnziQ8PJyIiAhiYmKIiYmxOlKjZIumbOfOnezatQulFNOmTSM0\nNPSieRwOB8XFxe7HTqcTh8Nx3euua+crLS297uU2RsHBwf9y7drlQr+7Fp17CGPKfM6VlXkonedd\nS/12IvX7bv22r71tJ+gzgLPzp2I8Pw8VWPtLzG1f/xUEBwcza9Ysq2PYgi2asqSkJJKSal/v11qj\ntXY/jo6O5sSJExQVFdGyZUsyMzN55plnGjqq+BldXY1euxhdVooxbQEq6AarIwkhRJ3UoKFQeBxz\n1VyMp6df1JgJUR+U/nnnYhPLli0jNzeX0tJSQkJCGDp0KAkJCRw6dMg9JEZiYuJFQ2LUl+PHj3tk\nud7uX3m3qLWuacjOl2GMm2qLYS/k3bLU76v1+0rt2uVCr19eM37ihJdQQc0B36n/UqKioqyOYBu2\nbMqsJk3ZlZn/+w76y4MYk19DBdjjHaev/2KW+n23fl+qXZsm+o+r0cf+UfP7q2kzn6q/LtKU1Z/G\neUe1aNR03hH0J9trLgHYpCETQvgGZRiox/8LdWNr9NaNVscRNiNNmWhQ+uxpzLeWYvzqKVTo9X/Q\nQgghGppSCvX4WHT2fvSRv1kdR9iINGWiwejik5hpL6B63Y/q0dvqOEIIcc1U82CMMc9irl2MWXzS\n6jjCJqQpEw1CnyrBXPwSKnEwxr8/bnUcIYS4bqprd9QDKZx7fTq67JzVcYQNSFMmPE5XVmKumI2K\nfwCj30NWxxFCiHqjHkzBP6YH5vJZ6PONd5xF4R2kKRMepzetQkW1RSU/ZnUUIYSoV0opmo4ch2oX\njblohjRm4rpIUyY8Sh8+gP7ma9TIVPmCcSGELSnDQI0Yi7q5A/q9DVbHEY2YNGXCY/TZ05h/eBNj\n5HgZ/VoIYWtKKdTQ/0D/7a/oo7lWxxGNlDRlwiP0qRLMBdNR8f1RXbpZHUcIITxOBd2A8atxmBmL\n0OfOWh1HNELSlIl6p8tKMZe8jLqnL8bD8klLIYTvUN3vRvWMw1yzEF1dbXUc0chIUybqlXa5MNPn\no27vgTFoqNVxhBCiwalHnoAm/ujfr0C+yVD8K6QpE/VKb3sb/JqgHhtjdRQhhLCE8vPDGDsFgm6A\nqkqr44hGRJoyUW+qj+ai9+/G+M/nUIbsWkII36UCAzGG/wYV2NTqKKIRkb+col5ol4vzGYtRQ55E\nBYdYHUcIIYRodKQpE/Xj+Pf43dga1auP1UmEEEKIRkmaMlEv1M0daP7cLBkgVgghhLhG0pQJIYQQ\nQngBpeXzukIIIYQQlpMzZfXs3XfftTqCZXy5dpD6pX7frd+Xawep39frr0/SlAkhhBBCeAFpyoQQ\nQgghvIA0ZfUsJibG6giW8eXaQeqX+n23fl+uHaR+X6+/PsmN/kIIIYQQXkDOlAkhhBBCeAFpyoQQ\nQgghvEATqwPYwebNm9m1axchITXf+ThixAi6d+8OwNatW/nkk0/w8/Nj9OjR3HnnnVZG9ZjDhw+z\nfv16tNYkJCSQkpJidSSPGj9+PEFBQSil8PPzY968eZw7d46lS5dSVFREREQEkyZNIigoyOqo9SI9\nPZ3s7GxCQkJYuHAhwGXrtdt+X1f9vnTcl5SU8MYbb3DmzBmUUvTr14+BAwf6xD7wy9r79+9PcnKy\nz2z/CxcuMHPmTKqrq3G5XNxzzz0MGTLEJ7a9JbS4bu+++67+8MMPL5qen5+vn3/+eV1dXa1Pnjyp\nU1NTtWmaFiT0LJfLpVNTU3VhYaG+cOGCnjx5sv7hhx+sjuVR48eP16WlpbWmbdy4Ub///vtaa623\nbt2q3377bSuiecSRI0f0sWPH9G9/+1v3tEvVa8f9vq76fem4P3XqlD527JjWWuvy8nI9ceJE/cMP\nP/jEPnCp2n1p+1dUVGita37XT58+XR89etQntr0V5PJlPdF1fF7i4MGD9O7dGz8/PyIiIoiMjCQv\nL8+CdJ6Vl5dHZGQk4eHhNGnShLi4OLKysqyO5VFa64u2+cGDB7n//vsB6Nu3r63+D7p06ULz5s1r\nTbtUvXbc7+uqH3znuA8NDaV9+/YANG3alNatW1NSUuIT+0BdtTudTsB3tn9gYCBQc9bM5XIBvnX8\nNyS5fFlP/vSnP7F37146derEqFGjCAoKwul00rlzZ/c8DofDfTDbidPpJCwszP3Y4XDY/iBUSvHq\nq69iGAb9+/enX79+nDlzhtDQUKDmF/mZM2csTulZl6rXV/Z78M3jvrCwkH/+85907tzZ5/aBn2q/\n5ZZb+Prrr31m+5umydSpUzl58iRJSUlER0f73LZvKNKUXaU5c+bU+iOrtUYpxfDhw0lKSuKxxx5D\nKcU777zD73//e5566ikL0wpPmzNnDi1btuTs2bO8+uqrREVFXTSPUsqCZNbxtXp98bivqKhg8eLF\njB49mqZNm170vJ33gV/W7kvb3zAMXn/9dc6fP8/ChQvJz8+/aB47b/uGJE3ZVXrppZeuar5+/fqR\nlpYG1LxDKC4udj9XUlKCw+HwSD4r/bJOp9Npyzp/rmXLlgC0aNGC2NhY8vLyCA0N5fTp0+5/f7oB\n2K4uVa+v7PctWrRw/+wLx73L5WLRokX06dOH2NhYwHf2gbpq97XtDxAUFETXrl05fPiwz2z7hib3\nlNWD06dPu38+cOAAN998MwA9e/Zk//79VFdXU1hYyIkTJ4iOjrYqpsdER0dz4sQJioqKqK6uJjMz\nk549e1ody2MqKyupqKgAat49f/nll7Rt25a77rqLPXv2ALBnzx7b/R/88j66S9Vr1/3+l/X72nGf\nnp5OmzZtGDhwoHuar+wDddXuK9v/7NmznD9/HoCqqir+/ve/07p1a5/Z9g1NRvSvB2+88Qbfffcd\nSinCw8MZO3as+1r71q1b2b17N02aNLH1R4MPHz7MW2+9hdaaxMREWw+JUVhYyIIFC1BK4XK5uO++\n+0hJSeHcuXMsWbKE4uJiwsPDmTRpUp03hzdGy5YtIzc3l9LSUkJCQhg6dCixsbGXrNdu+31d9efk\n5PjMcf/1118zc+ZM2rZti1IKpRQjRowgOjra9vvApWrft2+fT2z/77//npUrV2KaJlprevfuzSOP\nPHLZ33d2qr+hSVMmhBBCCOEF5PKlEEIIIYQXkKZMCCGEEMILSFMmhBBCCOEFpCkTQgghhPAC0pQJ\nIYQQQngBacqEEEIIIbyANGVCCK+Um5vLuHHjGmRdRUVFDBs2DNM0r+n1w4YN4+TJk3U+t2/fPl57\n7bU6512zZg3vvffeNa1TCGE/8jVLQgiPWLVqFWFhYQwbNszqKJaKj48nPj6+zud+85vfuH/Ozc1l\nxYoVpKenN1Q0IYSXkTNlQviAaz0D1FjWdyXelqcuMo63EELOlAlhU+PHj+fBBx9k3759HD9+nI0b\nN3LmzBnWrVvHkSNHaNasGQMHDiQ5ORmAzZs3k5+fj2EYHDp0iMjISMaNG0e7du0AKCgoICMjg+++\n+w6Hw8GIESPc33e3atUqAgICKCoq4siRI4waNYpPP/0UwzDYvn07MTExTJkyhVOnTl1y/VVVVaxZ\ns4aDBw/icDi4//77L1vfsGHDGD16NNu3b6e8vJy+ffvy61//Gqj5Lr5du3YRHR3N3r17efDBBxk6\ndCjvvfceu3fvpqqqiu7duzNmzBiCgoLcy9y9ezebN28GYPDgwTz00EMA5OXlsX79egoKCggICODu\nu+/miSeewM/Pz/3a7OzsS2bZvXs3s2fPvqiGn84mpqSkMG/ePKqrqxk1ahRKKZYuXcrEiRNJT0/n\nhhtuAODbb79l7ty5rF69GsOQ99RC2I00ZULY2P79+5k2bRrBwcEopUhLS6NXr15MmjSJ4uJi5syZ\nQ+vWrenWrRsABw8e5Nlnn2XixIl89NFHLFiwgOXLl6O1Ji0tjcTERF588UWOHDnCggULmD9/PpGR\nkQBkZmYybdo0OnfuzIULF/jHP/5R6/LlT8u41Po3b95MYWEhK1eupKKiotZ9WJeSlZVFWloa5eXl\nzJ49m6ioKBITE4GaRio+Pp41a9bgcrn45JNP2Lt3L6+88gotWrRgxYoVrFu3jtTUVPfyfrqEeOLE\nCWbPnk2HDh24/fbbMQyD0aNH06lTJ0pKSpg7dy47d+6s9QXVl8uilLpsHYGBgUyfPv2iy5cxMTF8\n9tlnPPDAAwB8+umnxMXFSUMmhE3JkS2EjSUnJ+NwOPD39+ebb76htLSURx55BMMwiIiIoF+/fmRm\nZrrn79ixI7169cIwDAYPHuxuro4ePUplZSUpKSn4+flx++2306NHj1qv7dmzJ507dwbA39//oixX\nWv/nn3/Oo48+SlBQEA6Hw30G7XJSUlIICgoiLCyMQYMG1crjcDhISkrCMAz8/f3JzMxk0KBBhIeH\nExgYyOOPP05mZmatS5tDhgwhICCAtm3b0rdvX/bt2+f+f4mOjkYpRatWrejfvz+5ublXneVa9enT\nh7179wI1l2AzMzPp06fPdS9XCOGd5EyZEDYWFhbm/rmoqAin08mYMWPc00zT5LbbbqtzfqUUDoeD\nU6dOobWu9RxAeHg4TqezztfW5UrrdzqdOByOWsu/kp/P36pVK06dOnXJPE6ns9Yyw8PDMU2TM2fO\n1Pma8PBw8vPzAfjxxx/ZsGED3377LVVVVbhcLjp27HjVWa5VbGwsGRkZFBUVUVBQQPPmzenUqdN1\nL1cI4Z2kKRPCxn5+2SwsLIyIiAiWLVt2yflLSkrcP2utcTqdtGzZEoDi4uJa8xYXFxMVFVXnuupy\npfU7HA5KSkpo06YNUNPEXcnP5y8uLnZnrSuPw+GotcyioiL8/PwICQlx1/3zmn6+vIyMDDp06MCk\nSZMIDAxk+/btHDhw4KqzXCt/f3/uvfde9u7dS0FBAffdd991L1MI4b3k8qUQPiI6OppmzZqxbds2\nqqqqME2T/Px8vvnmG/c83377LX/9618xTZOPPvoIf39/OnfuTHR0NIGBgWzbtg2Xy0VOTg5ffPEF\ncXFxl1xfaGhorbG7rrT+e+65h/fff5+ysjJKSkrYuXPnFWv64IMPKCsro7i4mEBectsAAAH9SURB\nVB07dlw2T1xcHB999BGFhYVUVFTwzjvv0Lt371r3Z23ZsoWqqiry8/PZs2ePe3nl5eU0a9aMwMBA\nCgoK+POf/3xdWeoSGhrKuXPnOH/+fK3pffr0Yc+ePXzxxRdy6VIIm5MzZULY1C/PFBmGwdSpU9mw\nYQOpqalUV1cTFRXF8OHD3fP07NmT/fv3s3LlSm666SYmT56MYRgYhsELL7xARkYGW7duJSwsjAkT\nJrhv8q9LYmIiixcvZsyYMcTExDB58uTLrn/IkCGsXr2a1NRUHA4Hffv2Zfv27ZetMTY2lqlTp3L+\n/HkSEhJISEi45LwJCQmcOnWKmTNnUl1dzZ133smTTz5Za56uXbsyYcIEAB5++GHuuOMOAEaOHMnq\n1av54IMPaN++Pb179yYnJ+eas9QlKiqKuLg4JkyYgGmaLFmyhNDQUG699VYMw6Bjx460atXqX1qm\nEKJxUVoGxxFCUDMkxsmTJ2t9GtGbDRs2jOXLl3PjjTdaHcXjZs+eTXx8vPvTnEIIe5LLl0II4cXy\n8vI4duwYvXv3tjqKEMLD5PKlEEJ4qZUrV3Lw4EHGjBlD06ZNrY4jhPAwuXwphBBCCOEF5PKlEEII\nIYQXkKZMCCGEEMILSFMmhBBCCOEFpCkTQgghhPAC0pQJIYQQQngBacqEEEIIIbzA/wPcrTi/FMGl\nEwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1109c36d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotExpectedScores(true_p=0.6, wrong=\"noblock\")"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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fUFCAzMxMPH36FMOGDUNqairOnTuHvXv3QltbG0Dpo03ZGKo6Ojrc4PKyx5M6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7S0NLp06UJxcTEvv/wyW7ZsqfMF1efLopQ6bx3+/v5MmTLlnNOXMTEx/POf/+RXv/oV\nAB9//DHx8fHSkAlhU3JkC2FjycnJOBwOfH19+frrrykpKWHw4MEYhkF4eDj9+/cnOzvbNX/nzp3p\n2bMnhmFwzz33uJqrr776isrKSlJSUvDx8eGGG26ge/fudV7bo0cPoqOjAfD19T0ny4XWv3v3bn77\n298SEBCAw+FwjaCdT0pKCgEBAYSGhjJo0KA6eRwOB0lJSRiGga+vL9nZ2QwaNIiwsDD8/f154IEH\nyM7OrnNqc8iQIfj5+dGhQwf69evHrl27XP8vUVFRKKVo27YtAwYM4NChQxed5VL16dOHnTt3ArWn\nYLOzs+nTp89lL1cI4ZlkpEwIGwsNDXX9XFhYiNPpZOTIka5ppmly/fXX1zu/UgqHw8GpU6fQWtd5\nDiAsLAyn01nva+tzofU7nU4cDked5V/IT+dv27Ytp06dajCP0+mss8ywsDBM0+T06dP1viYsLIy8\nvDwAvvvuO9544w2OHDlCVVUVNTU1dO7c+aKzXKq4uDiysrIoLCwkPz+f1q1b06VLl8terhDCM0lT\nJoSN/fS0WWhoKOHh4SxatKjB+YuLi10/a61xOp2EhIQAUFRUVGfeoqIiIiMj611XfS60fofDQXFx\nMe3btwdqm7gL+en8RUVFrqz15XE4HHWWWVhYiI+PD0FBQa66f1rTT5eXlZXFNddcw4QJE/D392fT\npk3s2bPnorNcKl9fX+644w527txJfn4+d95552UvUwjhueT0pRBeIioqilatWrFhwwaqqqowTZO8\nvDy+/vpr1zxHjhzh008/xTRNNm7ciK+vL9HR0URFReHv78+GDRuoqakhJyeHzz77jPj4+AbXFxwc\nXOfeXRda/+233857771HaWkpxcXFbNmy5YI1vf/++5SWllJUVMTmzZvPmyc+Pp6NGzdSUFBARUUF\nb731Fr169apzfda6deuoqqoiLy+PHTt2uJZXXl5Oq1at8Pf3Jz8/nw8//PCystQnODiYM2fOUFZW\nVmd6nz592LFjB5999pmcuhTC5mSkTAib+vlIkWEYTJo0iTfeeIOxY8dSXV1NZGQkw4YNc83To0cP\nPvnkEzIyMrjqqquYOHEihmFgGAbPPvssWVlZrF+/ntDQUMaNG+e6yL8+iYmJzI179hMAAAFISURB\nVJ8/n5EjRxITE8PEiRPPu/4hQ4awbNkyxo4di8PhoF+/fmzatOm8NcbFxTFp0iTKyspISEggISGh\nwXkTEhI4deoU6enpVFdXc9NNNzFq1Kg683Tr1o1x48YBcN9993HjjTcC8NBDD7Fs2TLef/99OnXq\nRK9evcjJybnkLPWJjIwkPj6ecePGYZomCxYsIDg4mOuuuw7DMOjcuTNt27b9RcsUQjQvSsvNcYQQ\n1N4S4+TJk3U+jejJUlNTWbx4MVdeeaXVUdxu+vTp9O7d2/VpTiGEPcnpSyGE8GC5ubkcPXqUXr16\nWR1FCOFmcvpSCCE8VEZGBvv27WPkyJG0bNnS6jhCCDeT05dCCCGEEB5ATl8KIYQQQngAacqEEEII\nITyANGVCCCGEEB5AmjIhhBBCCA8gTZkQQgghhAeQpkwIIYQQwgP8P1IZzwG0eEyhAAAAAElFTkSu\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b4b69b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotExpectedScores(true_p=0.5, wrong=\"noblock\")"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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GcHAw5s6di27dusHb25ub1DoyMhK7du1Cr169oK+vj1mzZuHrr79Gfn4+RCIR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\nB/UHUKXokWblAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1106cc940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotExpectedScores(true_p=0.1, wrong=\"noblock\")"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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JpUuXKrwVKp+maPmK2wCAIUOGYObMmdi2bRsEAgHmzJmD0NBQTJ06Fe3atUNA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\n8BNSuAkhhBBC+Akp3IQQQggh/MR/AQSDzDsA8/f+AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1109cd6a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotExpectedScores(true_p=0.01, wrong=\"noblock\")"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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w9vaGQCDAmDFj0KdPH5w+fRoeHh5QV1fHnj174ObmhlGjRmHYsGGYPXs2pk2bhtLSUigp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\nIiJB4v8A5qAm4+ERfb0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10db35828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotExpectedScores(true_p=0.99, wrong=\"noblock\")"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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6mm2hdevWSElJQZs2bZCamsr18laXkpKCzp07Izs7m/sVYO/evbw8vb294eLigt27d0Mo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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1109ad9b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotExpectedScores(true_p=0.999999, wrong=\"noblock\")"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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ADMZnTvfur6GiUo7nzxvuBVRVLW9U758EOTk5bNq0CcD/Xjj9+/fH0qVL0aFDB66XbMOG\nDZg5cyYsLS3h4eEBOzs7qKmpAajsdVBXV4eLiwuEQiGGDRsGNTU1aGtrY8yYMVi5ciVCQkIAVA59\nubu7c3MApaWlsXz5cgwfPhwCgQATJ06Evb09goKC4OzsDAUFBRw6dAh2dnYYP3483N3dsXDhQsyd\nOxclJSWQkZHBnj17MHv2bIwdOxb6+vpo27YtL4+RkZHYsGEDysrKuDl0M2bM4OKfO3cu3N3dMX36\ndG4CvJmZGZKSkqqUqyrs7Ozg7OwMkUgES0tLzJ49u9HlXB/R0dFYt24dEhMT4ebmhoMHD2L79u0A\ngPT0dGzcuBFDhgwBUGksODk5oXPnzujWrRv++ecfBAYGIj09HXv27MHEiRMxaNAgKCgowMnJCeXl\n5ZxhvmPHDpw5cwZEhMzMTMyZMwdz587F1KlTIRAIsHbtWk6m4OBg/PHHH9z1yJEjMWfOHOzbtw82\nNjbQ0tLCL7/8gsePH2Pu3LkAKueBOjo6YurUqfD19YWMjAx+++03pKSkYN68eVBUVETbtm0xf/58\nAMCDBw+gra0NWVlZAIC8vDysra3x7bffoqKiAl5eXgCAefPmYdq0aSgpKeEMeR8fHxgbG6OsrAw/\n/vgjhEIhWrZsiR07dgAAvvvuO+Tl5cHY2JhbMV0bU6dOxezZs1FWVgZ7e3t88cUXdS4iqupub29f\nQ28VFRUhEong4eGBkpIS7NmzBy1btoRYLIaTkxMUFRWxa9cu5Ofn8+KS6Labm1utaUvcRo4ciUmT\nJsHX1xdCobDW/fgCAgKwcuVKjBw5ElJSUvX2AL58+RIFBQXcXE4tLS0EBAQAqKzLHj16MOPvE0dA\nrJ+WwfhsKCkpqXUjaEdHNdy5I9tg+MmTC7ByZeMWgXxsfHx8UFFRgZEjRza1KAzGeycsLAw3btzg\nDNz3jaQ3HABGjx6NTZs28VYMu7i4wMfH54NOT1BTU+MMdkbTwxaBMBjNAC+vAmhq1j/s2KlTKWbP\nfvmRJGIwGB+TwsJCODk5YejQoejcuXON7WI+xPZHjE8b1gPIYHxG1NUDCAABAbLYsKEF0tKkePMC\nxeIKdOxYhj17nkNbm50jzGAwPgysB/DTghmADMZnRH0GIAAUFQnwxx8KuHFDBqWlAigoVMDdvQj2\n9iX4wAtTGQxGM4cZgJ8WzABkMD4jGjIAGQwGo6lgBuCnBfvmZzAYDAaDwWhmMAOQwWiGvC5/jefF\nz1FBFW8VvqCgAC4uLtzxUa6urtwWG3WRl5fHnR1cXl4OFxeXGn42bNiAYcOGcfuhVSUtLY3b2uNj\nITlrtTGUl5c3yQrlrVu3wtzcvNbTRfr3788dBVdQUIAxY8Zwpz0AlRv5Dh06FA4ODti7dy+Ayj0b\nPT094eLigkmTJqGsrAyvX7/G0KFD0alTJ6Snp3Px+/n5wcHBAePHj0dRUREqKirg4uICV1dX2Nvb\n47vvvgMA7hiyESNGcGf0btq0CQ4ODnBwcMCtW7cAAAkJCXBwcICjoyOXn5CQEFhYWPB0LDg4mNM/\nMzMzBAcHg4gwY8YMuLi4wN3dnTvpJCYmBm5ubhg+fDi3p56EK1euwNHREd9++y232XVZWRmmTJmC\n4cOHc3vcVSU6OhqDBg3i8tGUVNfPFStWfJR0Y2JiuPK3sLDgjnoEgH///Rfa2tofRQ7Gu8EMQAaj\nGZFbnIvJQZNh62eL/if7Y8DJAfjx9o9vbAgqKSnBz88Pfn5+MDIygq+vb4OnReTl5SEwMJC7rm3V\n4Z07d3D69Ok6Tyr42CsVKyoqGm0AAu9fvsbM0Bk9ejS2bdtWw/38+fO8lZ5HjhyBi4sL/P39cejQ\nIZSXl6NLly44e/Yszpw5g3PnzuHVq1e4dOkSevXqBT8/P+5EChkZGRw8eJA79QGo3ET5+PHjOH36\nNL799lscPXoUQqEQfn5+3LF7AwYMAABs3rwZS5YswYkTJzBt2jQAlZstnzlzBgcPHuQ2+j506BBW\nrlyJU6dOISwsjNvMecSIETwd69+/P6d/bdq0gaWlJaKioqCgoAA/Pz84OjpyRu6OHTtw4MAB+Pj4\nwNramldGVlZWOHXqFM6ePYubN2/ixYsXOHfuHExNTeHj44MXL17w9nMEKo3P5cuXc/l407p7n7Ou\nysrKePop2bPxQ9OlSxeu/Dt16sSdzAJU6tn7Ouea8WFhG0EzGM2EwtJCuP3thnvP7nFumUWZeJD3\nAE8Ln2KX3a53iv+nn35CVlYWnjx5And3dyQmJmLu3Ln4888/ISsri/j4eFy9ehWurq7YvXs38vLy\nMH36dCQlJWHHjh0IDQ1FfHw8d0JCTEwMF14sFsPMzKxGmq9evcK8efPw7NkzaGhoYPv27di/fz9k\nZWXh4uICT09PHD58GAsWLIBYLEZKSgr69euHOXPmICcnB99//z2KiopgaGiINWvWIDMzE/PmzUNJ\nSQl69uwJTU1N7gi39evXIyUlBbt370ZFRQXmzZuHfv364cCBA/D3969Vvrt372L16tVQUFCAq6sr\nXFxcsH79ety5cwcyMjLYv38/UlJSsGzZMlRUVGDChAlwcHDAzJkz0bJlS6SlpeHQoUNYtGgR0tLS\nIC8vj507d0JRUZFLQ7KhdnX++usvDB48mLuOiIiAu7s7hEIhDA0NkZqayp3+AQBSUlIQCATQ1dVF\nbGwsACA/P593MkdV4yU5ORnGxsYQCATo27cvli1bhkmTJnH3g4KCuM2gExMTsWXLFmRmZmLx4sUw\nNTXleokkp3wAledI5+fno6ysjLdZ8cmTJ3Hjxg2MHTsWQ4cO5dJISUnhjpxr1aoVd8LKixcvoKGh\ngZSUFLx+/RoTJ06EWCzGxo0beefzSo6GKysrg5aWFhQUFPDw4UOYmpoCqDwyLTw8nDvr+sGDBzh+\n/DgCAwMxd+5ciMVi/PzzzxAIBFi8eDF69+4NR0dH9OjRA1lZWTzDfMiQIejcuTMUFRUxZcqUGrr3\n008/4dGjR8jOzoauri42btyI/Px8zJgxA0VFRejatStWrlyJP//8EyEhISgsLIS1tTWnn+vWrcOC\nBQtw6tQpzJw5E0pKSoiLi4OdnR1mzZqF8PBwLFu2DB06dEBycjLOnz/PyVZeXo5BgwZBX18f//33\nH3766adGGXGFhYXIy8tDmzZtAFSe6922bVukpqY2GJbR9DADkMFoJnhHe/OMPwllVIaQ9BCk5KVA\nv6V+LSEbj4GBAX7++WeEhITwesMEAgE8PDzw7NkzbNmyBeXl5cjNzcX27dsRHh6OkydPYunSpTh3\n7hx8fX1rhK+LI0eOYPDgwRg8eDD279+PwMBATJw4EaNGjcKtW7cwa9YsyMnJAQCsra2xadMmeHp6\nIjs7Gzt37sTcuXPRtWtXrFmzBlFRUfDx8cG0adPQp08fAJUvxoCAAPj6+qKiogKLFy+Gn58fysrK\nMGbMGFhYWMDf3x9nz57F7du3kZiYyJPv0qVLWLlyJXr06AEAiIqKQmZmJu94rZ9++gm7d++Gmpoa\nNxwJVJ5B/MMPPyAwMBB6enrYuHEjgoKCcOTIEUyZMqXecrl8+TL69evHc8vPz4eSkhKAyh5cyRAp\nAFy8eBEdO3aEWCyGgYEBbt26hf79+0NTU7NWwxaoNLKqxlf1yLisrCzIyspyZ/iGh4fj8uXLkJeX\nx9SpU3Hy5EnO76ZNmzB69GgAlT1ynp6eEIlEcHFxgbS0NMzNzXHt2jWUlJRg+PDhsLKy4uKtehaw\nhoYG8vPzYWtrCykpKZw7dw6RkZFIS0vDxYsXcf36dezcubPGyR6HDh2Ct7c3BgwYAJFIhPbt2yMs\nLAxWVla4efMmd34vUHmEm4uLC/r16wcLCws4ODjAx8cHpaWlGDNmDFevQ4YM4YUDKk+xmTdvHjQ0\nNLBixYoaugdUnoozdepULFiwANHR0bh+/TpcXFzg4OCAuXPn4t69yudXVVUVv/76K8rLy3H+/Hlu\nmL/6CSHr1q3D0KFDMWvWLGzfvh1HjhyBvLw8p99VycrKQkBAAJ49e4Zly5Zh//79WLhwYY2jEdev\nX899OFy6dAl2dnbcvX379mH58uW4fv16jfgZnx5sCJjBaCbcyrhV571nxc9wJOHIO6cheelVfRFJ\neo2qD33p6elBSkoKWlpanDEi8VNb+NpISkqCt7c3XF1dcerUKWRnZwMAhg0bhoSEBO7oNqDy5QoA\nnTp1wuPHj5GcnIwffvgBLi4uuH37NjIzM5Gamoru3bvXmlZ2djaSk5MxYsQIuLu7Izs7Gzk5OdDR\n0eHlvSrjx4+Hv78/Zs+ejZiYGKSkpNSI/+XLl9DS0oK0tDTatGmD3NxcXnxJSUnw9/eHq6srfvvt\nNzx//rzO8pBw4sSJGnMslZWVOSOtoKCAM6JSUlKwb98+bv7Y8ePHMWTIEAQHB6Nv3744c+ZMrWlU\nNfpevnxZ4yzgqsPFBgYG0NXVhaamJi+OgIAAvHr1ijuqbuPGjdi3bx9u3LiBqKgoPH36FPLy8hCJ\nRJCXl0fPnj2RlpbGhb906RI3/BgcHIzWrVvjypUrmDlzJry9vaGkpARTU1PIysqib9++SE5OrpGP\n0aNH48aNG0hLS8P9+/fx9ddf48WLFxg5ciTk5eWhoaHB819VH6WkpCAnJ4cWLVrwTtCoTRc0NTW5\nuGrTPeB/OmpsbIzU1FQ8evSIO4u4a9euXM9a1fOJ63o+DA0NAYA7Z7moqAjq6uqQl5dHu3btavjX\n19eHWCxGmzZt8OLFCwCV9eHr68v7Ve01DgwMxDfffMPlSVVVFcrKyu91mJvx4WA9gAxGM6GhRrmc\n3m4T6KrxSl6CLVq04F5qCQkJMDMzg7S0NMrKyhoVZ23hq6cFVBoWAwYMgL29fWUeystRVFQEHx8f\n2Nvb49SpU3B0dARQedC9np4e7t+/jylTpsDAwABubm4wMjLiwoaEhOCff/5B7969QUQQiURcmurq\n6jAyMsLRo0chEAhQXl6OiooKPH78GESEmJiYGvlQVlbG+vXrkZ6ejqVLl2LevHn4448/4OHhwflR\nUlLCkydPoKGhgfT0dG6IUlKW7du3x8iRIzF+/HhOzvrqoaKiAg8fPsT48ePx5MkTCAQC9OjRA+bm\n5ggJCcHXX3+NxMRE6Onp4cWLF/j++++xc+dObnsOIkLLli0BVPY0SYyB6ukYGBggLi4ORISQkBB8\n+eWXnJ8LFy5gy5Yt3HW7du2Qk5MDsVjMhb937x6OHTuGQ4cO1SgzAFBUVERhYSFevnwJRUVFlJeX\nIzo6GtOnTwcAZGRkQFFRkeuFrCq3iooKYmNjYWBggKysLBAR7t27xxnrEl6/fg0ZGRkIBALIy8tD\nLBZDKBRy5xrPnz+f9xFRnbKyMrx69QqvX79u8Pmq+lFTm+5FRkYiLi4OVlZWiIuLg4eHB/777z9E\nR0dDX18fUVFRGD9+PO7du8fphmQIu6H0AEBBQQHZ2dncMHd1UlJSUFxcjNzcXK4OFi5ciAcPHvDi\nlPQAvn79Go8ePeKGxxMSEhAREQEPDw8kJiZi8eLFWL9+fb1lwmhamAHIYDQTTDVMcfPpzVrvtZRt\niREdR7xVvJIXTdUXTufOnfH48WN4enpyL2UtLS1kZ2fju+++w/r16+s9uL628NXTAABPT0/Mnz8f\ne/fuhUAgwLJly+Dj4wMvLy/07NkTHh4e3MT/0NBQ7Nu3D3379oW6ujpmzZqFhQsXoqCgACKRCJs3\nb8aMGTPg5eWFLVu2oFevXvj++++hoaGB7777DosXL8a4cePg6uoKgUAAIyMjrFmzBo6OjnBwcECv\nXr1q5OfgwYO4ePEiioqKMGvWLHTp0gWampoYNmwYZGVlsX//fsybNw9Tp05FRUUFJk6cCIFAwMvn\n119/jaVLl2L48OEQCAT47rvveMNuR48exeHDh1FQUIC8vDysWbOGW2xz/PhxiEQi6Orqwt3dHTNm\nzMDevXsxduxYiEQi/PHHH0hPT8ecOXMAANu3b4eTkxOmTZuG48ePQ1ZWFrt37wYATJo0CREREZg1\naxamT5+O/v37Y/jw4Rg2bBhUVVXxyy+/AKgcGi4uLuYtQPn+++8xZcoUlJSUcGfd/vDDD8jNzcXI\nkSOhoqI0XmeEAAAgAElEQVSCPXv2YPr06Zg2bRpEIhGMjIxgYGCAw4cP48SJExAKhXB2dubmPFbv\nZbS1tYWvry/X87l9+3ZIS0tj+PDhcHZ2hkgk4ubkrVixAmvWrMGxY8cQEBCAiooK9OvXD+3atUN6\nejpmz54NkUiEESNG1OgBrFo3c+bM4fRh0aJFtepobeFq0z0AuH//PoYPHw5dXV107doVOjo6mDlz\nJg4fPgwTExN06dKFGwaWINFPSfp1yTB79myMGTMGenp63Jy9qrRq1Qpz5szBo0ePsHHjRgDg/tZG\nSEgI+vbty10PGTKE68l1cnJixt//A9hG0AzGZ0R9G0Hnl+Rj2NlhSMzjz1MTQICBOgOxf9D+jyFi\nkzBz5kwsWrSo1hcfg/Ep8NNPP8HKygoWFhYfJP7y8nKIRCIUFhZi9OjRvHmY5eXlGDFiBPz8/D5I\n2hLYRtCfFqwHkMFoJijLKuPIV0cw/8Z8JD5PRFFZEVRlVWHRygLrLNc1tXgfFHbQPeNT50PraFhY\nGLZt24bCwsJa9+xkz0jzg/UAMhifEY09Ci63OBd5JXlopdAKclJyH0EyBoPR3GE9gJ8WrAeQwWiG\nqIpVoSpWbdgjg8FgMD5L2DYwDAaDwWAwGM0MNgTMYHxGlJWV1blNCIPBYDQlIpGIO92F0fQwA5DB\nYDAYDAajmcGGgBkMBoPBYDCaGcwAZDAYDAaDwWhmMAOQwWAwGAwGo5nBDEAGg8FgMBiMZgYzABkM\nBoPBYDCaGcwArAdbW1tMnjy5qcX4JLl27RqEQiGePHnS1KJ81rwvHRQKhTh27Fi9fvT09LBu3f+O\nhKue9rhx42Bvb//OsjDq5+HDhxAKhbh58+ZHS/Nt9ONdeZs2pCnKhlE371sn6mL16tXo0KFDvX4O\nHDgAaWnp95ru27S/tbWTO3fuRNu2bSElJYU1a9a8TxHfiQYNwHHjxkEoFEIkEkEoFHK/Fi1afAz5\n3oi1a9dCT0+vqcVoNjTl2ZGsrt8/4eHh8PLyqvP+jh074Ovry11PmjQJdnZ2H0M0JCUlYdCgQVBQ\nUICGhgamTp2KoqKiBsMdOHAAhoaGEIvFMDY2rtXI+fvvv2FmZgaxWAx9fX1s3bq1hp/bt2/D0tIS\ncnJyaN26NZYsWYKqO2hlZGTAw8MDnTt3hrS0dKMN5YEDB2L8+PE13N/HsxUaGgqhUIhHjx69c1wf\nijfNp46ODjIyMtCrV68PJNGnSV160pxoSFcEAsEncZ5x9Xby6dOn8PLywtKlS/HkyRN8//33HzR9\naWlpHDp0qFF+G9UDaGVlhYyMDN4vJSXlnYT8EBDRJ6EAH5LS0tKmFuGToLF1/amWV1lZWVOLUAM1\nNTXIydV9LrCSkhKUlZU/okSVFBYWon///pCVlcWtW7fg6+uLwMBATJw4sd5wp0+fxsSJEzFt2jRE\nR0djwoQJGD16NC5cuMD5CQ8Px7BhwzB48GBERUVh1apVWLJkCX7//XfOz3///Qd7e3sYGRkhIiIC\nu3fvhre3N5YuXcr5KSkpgZqaGubNm4cBAwa8c57fx/asn2N7KBAIoKmpCZFI1NSi8Kjref4Un3PG\nh6V6O/ngwQMQEYYOHQpNTU3Iy8s3oXTVoAYYO3YsDRw4sM77ubm51LZtW5o9ezbnlpmZSa1ataKl\nS5cSEdHVq1dJIBDQX3/9RT179iSxWEydO3emy5cv8+JKTk4mZ2dnatmyJamoqJC9vT3FxMTw/ISH\nh9NXX31FLVq0IEVFRerVqxfduXOHDhw4QAKBgIRCIfd39erVRERUWlpKK1euJD09PS5tb29vXrwP\nHz6kQYMGkZycHOno6NDOnTvJxsaGJk2aVGfeS0tLycvLi7S1tUlWVpZatWpFbm5uPD/Hjx8nc3Nz\nEovFpKamRt988w3l5eVx4RcuXEht2rQhGRkZMjY2pmPHjvHCCwQC2rFjB7m7u5OysjKNHDmSK+Mx\nY8aQhoYGKSkpUd++fen69etvJFtVli9fTpaWltz1lStXSCAQ0PLlyzm3JUuWUJ8+fYiosk6FQiEF\nBQWRlZUVycvLk7GxMZ0/f54Xb0NySnSjoXiqUl9d6+rq0rJly2jatGmkpqZGFhYWXDkePXqUF8+A\nAQNo3LhxvDJrSE9qk0VKSoouXbpEJiYmJBaLqVevXhQZGVnDz5UrV8jMzIxkZWUpMDCQu2dsbEwy\nMjKkra1Ny5Yto7KyMi6sjY0NTZgwgRYtWkTq6urUokULmjx5MpWUlHB+goKCyMbGhlRVVUlZWZms\nra3pzp07PDkFAgFt376dnJ2dSUFBgdq0aUPbt2/n+dHV1aW1a9fy0q6q/1XbglWrVtWog4MHD9LY\nsWPJ3t6+RjnZ2trSxIkT6y3LuvD29iZ5eXkqKCjg3M6dO0dCoZDS0tLqDNenTx/y8PDgubm6upKt\nrS137e7uztN7IqL58+eTnp4ed7148WJq27Ytz8+uXbtIUVGRioqKaqTbUJtZ1V/1Mrx27RqlpaWR\nQCAgHx8fGjJkCMnLy5O+vj4dOHCAF3779u1kampKioqKpKWlRSNHjqSnT58SEXFxSOIWCAS8fFfn\nbfSjoKCAJk+eTBoaGiQrK0vdu3enixcv8sJkZWXR2LFj6YsvviCxWEyGhoa0f/9+IvpfG5Kenk5E\nRBUVFTR9+nTS0dGh+Pj4WuWU5Cs0NJRzW7t2Lenr65OsrCxpaGjQV199RcXFxXXmtaysjFatWkXt\n27cnWVlZ0tbWplmzZnH3nz59SiNGjKCWLVuSnJwc2djYUHh4OHdf0madO3eO+vbtS3JycrR79+56\nn/OLFy+SpaUlycnJUZs2bWjcuHH07Nkznlx1vSvq0pPGUp+eVM1PQ21wZGQk9e7dm2RlZaljx47k\n4+NTQyeqIymT0NBQ+vLLL0leXp7Mzc3p7t27PH9hYWFkZWVFcnJypKKiQu7u7pSVlcXdX7VqFXXo\n0IGOHTtG+vr6JBaLaeDAgbzn/8CBAyQtLc2L99y5c2Rubk6ysrKkqalJ06ZNo8LCwkaVO1HNNvDf\nf/+l1q1b0/fff19nnhtqJx8+fFhrOF1dXVqxYgXNnj2bVFVV6YsvviAvLy8qLy/n/DRkM+jq6pJQ\nKOSlVx/vbAASEV2/fp2kpaUpICCAiIjs7e2pb9++nOASBevYsSP9/ffflJCQQBMmTCAFBQXKyMgg\nokpDQUtLi6ZPn06xsbGUmJhIs2bNInV1dcrJySEionv37pGCggKNGjWKIiIi6MGDB+Tr60u3bt2i\n4uJiWrRoEeno6FBWVhZlZmZyFT1mzBjq1q0bXbp0idLS0sjHx4dUVFTojz/+4PJgZmZGPXv2pLt3\n71JUVBQNHDiQWrRoUa8BuHnzZmrbti1dv36dHj9+TOHh4bxG848//iBpaWlau3YtxcfHU2xsLP3y\nyy/cg//999+Turo6nTx5kpKSkmjdunUkFAp5hrFAICB1dXXatWsXpaSkUHJyMr169YqMjY3J1dWV\nK4d169aRWCymhISERslWncuXL5OsrCxXZsuXL6cvvviC93Ls3bs3LVu2jFenpqamdPHiRUpOTqZx\n48aRsrIy9/A0Rs7GxFOd+upaV1eXlJWVafXq1ZSUlMS9SBpjADZGT6pz4MABEgqFZG5uTiEhIRQT\nE0NDhgwhbW1t7iUk8dOrVy+6evUqpaamUk5ODgUEBJBIJKKNGzdSUlISl96KFSu4+G1sbDijLyEh\ngQICAkhTU5Pmzp3L+Tl16hT5+vpSUlISxcXF0aRJk0hVVZVyc3M5PwKBgNTU1GjXrl2UlJREO3bs\nICkpKTp79izn500MwJcvX9KoUaPI0tKSq4Pi4mIKCwsjkUjEa5iTkpJIKBRyjX5ISAgpKirW+/vm\nm2949dK/f39euZeWlpJIJKpRpxJev35N0tLSdPjwYZ77vn37SE5OjioqKoiIqF27dvTDDz/w/AQH\nB/MME2tra5owYQLPz4MHD2oYIrWVU33k5+eTlZUVjRw5kivD0tJSzshp3749+fn50YMHD2jJkiUk\nJSVFSUlJXPgdO3ZQcHAwpaWl0a1bt8jS0pJsbGyIiKi8vJzOnj1LQqGQ/vnnH8rMzKTnz5/XKcvb\n6IeLiwvp6elRUFAQJSQk0OzZs0lGRobu379PRJXPv6GhIZmbm9Ply5cpLS2NLl++TD4+PkTENwCL\ni4vJycmJOnfuzJV7baSlpZFQKOTK/eTJk9SiRQs6d+4cPX78mKKiomj79u31GoCjR4+mL774go4e\nPUopKSk12saePXuSmZkZ3bx5k+7du0cjRowgFRUVrt2WtFlGRkYUEBBAaWlplJ6eXudzHhwcTPLy\n8rRr1y568OABhYeHk52dHVlbW3Np1veuqEtPGkt9elI1Pw215W3atKEhQ4ZQTEwM3bp1i3r06EEK\nCgoNGoBCoZCsra0pNDSU7t+/T19//TXp6+tz9kFGRga1aNGCPDw8KDY2lkJDQ6lr16688lm1ahUp\nKChQv379KCIigsLDw6lXr15kbm7OS6uqARgVFUVSUlI0b948un//PgUGBpKOjg6NHj26UeVOxG8D\nL126RC1btqStW7fWW95Vn//CwkLy9/cnoVBIUVFRlJmZybU91dHV1SVVVVXauHEjJScnk6+vL0lL\nS/PePw3ZDNnZ2SQlJUU7d+6kzMxMyszMrFfWRhmAUlJSNRrob7/9ludvzZo1pK6uTvPmzSNVVVV6\n/Pgxd0+iYJIvP6LKr7B27dpxL7uVK1dS7969eXFWVFRQ+/btuYfTw8ODTE1N65T1xx9/5H25ExGl\npqaSUCjkGqWq8kriCgoKIqFQSMnJydz97OxskpOTq9cAnD17do0XU1V0dHR4X5ZVKSoqIllZWdq9\nezfP3dHRkRenQCCoIcP+/fupbdu2vC8DIiI7Ozvy8vJqlGzVKS4uJrFYzH31WVpa0ubNmzmjsKCg\ngKSlpenKlStE9L86PX36NBdHZmYmCQQCrhegMXI2Jp7aqK2uiSofogEDBtRwb8gATElJaVBPakPS\nwEnKhYjo+fPnpKioyD24Ej/VjYV+/fpxPboStm/fTvLy8lwDb2NjQ3p6erxG4/fffyc5Oblae5+I\nKl/+KioqvC9DgUBAY8aM4flzd3cnKysr7vpNDEAiookTJ9baq9S1a1dez/GiRYt4ZVhcXEwPHjyo\n9/fkyRPOv729PY0aNapGOhoaGvTzzz/XWgZPnjzhejWqIuk5lHxUysjI0J49e3h+YmNjSSAQcL0+\nHTt25EYzJBQWFpJAICA/P78aaTfWACSq+RFC9L9erm3btnFu5eXlpKSkRL///nudcUVERJBQKOTK\n7saNG/X2OFTlTfUjOTmZBAIB18Ml4csvv+SM5b1795KcnByvLqsiMQBjYmLIysqKrKysKD8/v145\nq/cAbt26lTp16sTrNa8Pidz+/v613r906RIJhULuA5WIqKSkhFq1asV9KEjarOrtSV3PuY2NDS1e\nvJjn9vDhQxIIBBQVFUVE9b8riGrXk7elup40pg3es2cPKSkp8ern3r17JBAIGmUAVh0RuX37NgmF\nQkpMTCQiomXLllHbtm15Rm1UVBQJBAIKCQkhokoDUCgUUkpKCucnMTGRBAIBZ/xUNwA9PT2pV69e\nPHnOnDlDQqGQHj16REQNl7ukDTx27BgpKSnRn3/+WadfCdWf/+o93XWhq6tLDg4OPLevv/6a3N3d\niajxNoOUlBQdPHiwQTmJiBo1B9DCwgLR0dGIiorift7e3jw/y5YtQ8eOHbF161Z4e3tDW1ubd18g\nEMDCwoK7FolE6NmzJ2JjYwFUzsUJDw+HkpIS92vRogUePnyI5ORkAEBERAT69+//RkPc4eHhICJ0\n796dF/e6devw4MEDAEB8fDzU1dXRvn17Lpy6ujo6depUb9zjxo1DdHQ0DAwMMHXqVPj7+3NzzrKz\ns/H48WMMHDiw1rDJyckoLS1Fv379eO7W1tZcmUjo0aNHjTw9ffoUysrKvDzduHEDSUlJDcpWG7Ky\nsujduzcuX76MwsJChIeHw93dHR06dMD169dx/fp1SElJoU+fPlwYgUCAbt26cdeSuTmZmZmNlrMx\n8bwpPXv2fOMw//zzT4N6Uh9Vdbtly5YwMjKqUY/du3fnXcfGxtZa/8XFxbw0e/bsyZvLZWlpiZKS\nEs5PWloaPD090aFDBygrK0NZWRkvXrzAw4cP65RREk91Gd8H3333Hfbv3w8iQnl5OQ4ePMhbSScr\nKwt9ff16f61atXrvcv1/o+ozIRQKoampyXsmrl69iq+++go6Ojpo0aIFp0vV672xvIl+xMXFQSAQ\n1NBfKysrLkxERASMjY3rrUsiwuDBgyEQCHDx4sU3Xlw4fPhwvH79Gjo6Ohg3bhyOHDmCly9f1uk/\nIiICAoGgznY5Li4OampqvLZfRkYGvXr14pWFQCCo0S5LqP6c3717F9u2beO1KyYmJhAIBEhKSmrw\nXfGuNEZPGmqD4+PjYWRkxKsfExOTRs0JFggE6Nq1K3fdunVrEBEXd1xcHCwsLCAlJcX56dq1K5SV\nlXllrqGhwVv416FDB6irq9epo7GxsbCysuK5WVtbg4gQFxfX6HI/f/48PD09cfz4cYwcObLB/L4L\npqamvOvWrVtz5fQmNkNjkWrYCyAnJ9fgissnT54gMTERIpEI9+/ff2NBKioqMGDAAOzatavGBOh3\nmXheUVEBgUCAsLCwGhPc33WCdLdu3ZCWloagoCBcuXIFs2fPxvLly3H79u1Gha+ez7pQUFDgXVdU\nVMDY2BinT5+uEYdkgml12ebMmcPJpqioWGs6dnZ2OHXqFOzs7KCvrw8tLS3Y2toiODgYRITevXtD\nRkaGF6b6tUS+xsrZmHjelOrlBVTWdXUZqhrEH1JPgMoPntryWBuN0YuqfgYPHgxNTU38+uuvaNu2\nLWRkZGBpaYnXr1+/tbzvgqenJxYtWoRz586hrKwML168wKhRo7j7N27cwNdff11vHFZWVjh37hwA\noFWrVvjvv/9498vKypCbm1uncaGurg4pKSlkZGTw3DMzMyErKwtVVVUu7tr8CAQCLu66/EjufSiq\n64tAIOCeicePH2Pw4MEYM2YMVq5cCXV1dTx+/BgDBgxosnp/W7799lscOHAAN2/ehK2t7RuFbd26\nNe7fv48rV67g8uXL+PHHH7Fw4ULcuXMHbdq0+UASV1JbO1Pbc15RUYGFCxfC09Ozhn8tLS0UFhZ+\nMBnfRE/eZxtcFaFQyGtDJf+/j7g/Bl26dIGcnBx+//13DBw48L1vNVOV+p554P0sDqvKe9kHkIgw\natQomJmZ4cSJE1i9ejVu3bpVw09Vt/Lycty5cwcmJiYAKr+aYmNj0aZNmxq9AWpqagAAc3NzBAcH\n1ymHjIwMysvLeW7m5uYAKr92qscrMWqNjY2Rk5PD63XJyclplCErLy8PBwcHbNu2DeHh4YiPj8e1\na9egoaEBbW1tXLx4sdZwBgYGkJWVxfXr13nuV69eRefOnetNs3v37khJSYGSklKNPGlpadUq2927\ndznZ6sLW1haRkZHw9fXlelrt7Oxw+fJlXL58+Y23/GisnG9DbXVdH5qamrz9xkpKShAXF8ddN0ZP\n6qOqbufl5SE+Pp7T7bowMTGptf7l5eV5vdF3797lPfihoaEQi8Vo3749cnNzER8fj0WLFmHgwIEw\nNDSEjIwMsrKy6pVREo+xsXGDeauLuupASUkJI0eOxO+//469e/fC1dWV13PQo0cP3mhCbb+9e/dy\n/i0tLREWFsbr2bl48SKICJaWlrXKJi0tjR49evBW/AKVX/MWFhbcS8jS0rJWP+3atUPr1q05P0FB\nQTX8KCgowMzMrDFFVSdvqscS7t69i+LiYmzduhW9e/dGhw4dkJGRwXvRSl4mjY3/TfRDotvV9ff6\n9evo0qULgMpnKi4urt59/gQCARYvXoxVq1ZhyJAhNcq5MUi23dmwYQOio6NRVFSE06dP1+r3yy+/\nBBHV2S6bmJjg2bNnSEhI4NxKSkpw+/ZtLl9viuTdVltPt7y8fIPvCuDD6kljMDY2Rnx8PF68eMG5\nxcbGIj8//41lqo6JiQlu3brFWzEdFRWF/Px8XplnZ2cjNTWVu05MTEROTk6d7Wxd7atQKETnzp0b\nVe4AoK2tjWvXriEhIQGOjo5N9oHVWJvhjXSloTHisWPHkrW1NWVkZNT4SVizZg1pampybtOnTydd\nXV1uvoBkjkGnTp3o77//pvj4eJo4cSIpKChwq5EyMzOpTZs2NGjQIAoJCaG0tDQKCQmhpUuXUlhY\nGBERxcTEkIKCArm5uVF4eDhvEQgRka+vL8nIyFBYWBjl5ORwc6QmTJhArVu3psOHD1NycjJFRUXR\nH3/8QRs3buTyYGpqShYWFnTnzh36999/adCgQaSsrFzvHMBNmzbR0aNHKTY2llJTU2nt2rUkLS3N\nzW3Yu3cvycjI0A8//EDx8fF079493gTTBQsWkLq6Ovn6+lJiYiKtXbuWRCIRbz5ZbXNNiouLqUuX\nLtSzZ0+6ePEipaWl0e3bt2n9+vV05syZRslWG6WlpaSoqEgyMjLcHJnnz5+TtLQ0iUQiunnzJudX\nUqfV5zVUnX/QGDkbE09t1FXXda1K8/DwIH19fQoLC6OYmBhyc3MjZWVl3ryauvTkp59+qlMOyRyX\nHj160PXr1yk6OpqGDh1KrVu3plevXnF+qq9OIyL6+++/SUpKijZs2ECJiYl04sQJUlFRoZUrV3J+\nbGxsSFlZmaZOnUrx8fEUEBBAWlpa3BzKiooK0tTUJGdnZ0pMTKSbN29Sv379SFFRkVsZTfS/Sf6/\n/PILN8lfWlqaq4fayq6hOYCbNm0iTU1Nio2NpZycHN7K5Lt375KUlBRJS0vz9OZtePnyJeno6NDQ\noUMpKiqKLl++THp6etzcGCKi9PR0MjQ05M1jOn36NElLS9P27dvp/v37tHnzZpKWlqYLFy7w5JSR\nkaGlS5dSQkICHThwgOTk5Hhz7R4/fkzKyso0YcIEio2NpTNnzpCamhotWbKEJ2dkZCT9+++/9O23\n31Lv3r0pMjKSN/epNqZPn04mJib04MEDysnJ4S0CqT6XzMDAgKvT6OhoEolE9OOPP1JqaiqdOnWK\nDA0NeStEMzMzSUpKin755RfKysqqd37d2+jH8OHDSU9Pjy5cuEAJCQk0a9YskpWV5ebRFhUVcYtA\nLl26RKmpqRQcHEwnTpwgoprPvmT+699//12nnNXLZt++fbRnzx6Kioqihw8f0r59+0hKSqrGDhNV\n8fDwoC+++IKOHDlCDx48oDt37vAWgfTq1YvMzMwoNDSUYmJiaPjw4aSqqlpjEUj1Nquu5/zKlSsk\nIyNDc+fOpcjISHrw4AGdP3+eJkyYwC1WaehdUZueNIbG6Elj2uCioiJq1aoVDRkyhKKioigsLIx6\n9erVqEUg1cvkv//+I4FAwNNTZWVlGjVqFN27d49CQkKoa9euvIUqkkUg1tbWFB4eTnfv3qXevXvX\nuwgkOjqapKWlycvLixISEuj8+fOko6PDm+vaULlXbQMzMjLIxMSEBg0axLXttVHbHMDayrc6tb27\nqs+zbozNYGJiQp6envTkyRNurnNdNMoAlCwrrr68+NmzZ3Tz5k2SkZGhc+fOcWGKi4vJ1NSURowY\nwRWAUCikv/76i1tubWJiQsHBwby0Hj16RB4eHqSpqUlisZh0dXXJ09OTt6Lw7t27NHDgQFJUVKQW\nLVpQ7969udWFpaWlNGrUKFJVVeVtDVJRUUGbNm0iIyMjbqsAGxsb3gTuqtvAtG3blnbs2EG2trb1\nGoDe3t7UvXt3UlZWJiUlJerZsyf99ddfPD/Hjh0jU1NTEovFpK6uTkOGDOEa4tLSUlq8eDG3VYuJ\niQkdP36cF14oFNa60jE3N5emTZvGhdXW1iYnJyfuhdMY2Wpj0KBBJCUlxVsxaG5uTsrKyryJ1nVN\nbJWWluYZbg3J2dh4qlNXXevp6dXaIGVkZNC3335LysrKpKOjQ7t376aBAwfyDMDG6El1JI1OUFAQ\nGRkZkVgsJgsLixrbwNT2YiAiOnToEBkbG3Nls3z5ct6iGVtbW5owYQItWLCA1NTUuBXBVVc5Xr9+\nnUxNTUlOTo4MDQ3J39+fOnTowDMAhUIhbd++nYYNG0by8vLUunVr3iKD2squuv5Xb9hyc3Np8ODB\npKyszG0DUxUzMzPq3LlznWX3JiQmJtKgQYNIQUGB1NXVaerUqbxFMJLVodVlOHjwIHXq1IlkZWXJ\n0NCwxjZLRJWGuOQZ1dXVrVEuRJUT1yXbeEi2uKq+mk/SLr7JNgwpKSlkbW1NioqKvG1galtMUL1O\nf/31V9LR0SF5eXnq168fXbhwocYWIZs2bSJtbW2SkpKqdxuYt9GPgoICmjJlCtde9+jRgy5dusQL\nU3UbKDk5OTIyMuLqqLZn/7fffiM5OTne6uOqVC8bf39/6tOnD6mqqpKCggJ16dKFt9iwNsrKymjF\nihWkp6dHsrKy1LZtW+6DiqiyrXBzcyMVFRWSl5cnGxsbioiI4O7X1WbV95zfuHGD21lCUVGRjI2N\na2zxUd+7ojY9IapcoV5fvRI1rCeNbYMjIyOpT58+JBaLycDAgE6cOFFne1tfmfz333819PT27dtk\nbW1N8vLypKKiQh4eHpSdnc3dl2wDc/ToUdLV1SU5OblGbQNz/vx56t69O4nFYtLU1KTp06fXWDxX\nX7lXbwNzcnLI1NSUBgwYUKcR+LaLQGory+oGYGNshsDAQG5rsYbaHwHRex5UroVr167Bzs4Ojx8/\n5oZVGP8jNja2weHCz5n/z/k/ePAgJk2a9E7DAv+f818XZWVl0NXVxaJFizBjxox6/X6O+W8szTnv\nAMv/u+a/Xbt2mD59OhYsWPAepfp4NPf6b2o+2lnAH8HO/H/Lh1iJ+f8Jlv/PJ/9EhKysLKxfvx5F\nRaGwtLgAACAASURBVEUYO3Zsg2E+p/y/Kc057wDL/7vkPyYmBnJycpg7d+57lOjj0tzrv6lp1Crg\n98HndiQRg8GoyaNHj6Cnp4fWrVtj//79da44ZzAY70aXLl14i1UYjDfloxiA1tbWb7WCicH41Bkz\nZgzGjBnT1GJ8MrRr1+7/zfYODAaD0Zz5KHMAGQwGg8FgMBifDh9tCJhRP/XtlfW5o6SkhIKCgqYW\no8lg+W+++W/OeQdY/pt7/tmi0Kbloy0CYTAYDAaDwWB8GjADkMFgMBgMBqOZwQxABoPBYDAYjGYG\nMwAZDAaDwWAwmhnMAGQwGAwGg8FoZjADkMFgMBgMBqOZwQxABoPBYDAYjGYGMwAZDAaDwWAwmhnM\nAGQwGAwGg8FoZjADkMFgMBgMBqOZwQxABoPBYDAYjGYGMwAZDAaDwWAwmhnMAGQwGAwGg8FoZjAD\nkMFgMBgMBqOZwQxABoPBYDAYjGaGVFML8P+drKws+Pv7o6ioCHPnzkVcXBxOnDgBbW1tWFpawtjY\nuKlFZDAYDAaDweDBegDfEU1NTUyZMoXnJhaLUVpaCjU1tSaSisFgMBgMBqNuWA9gNX777TdERERA\nWVkZP//8M+ceGRmJAwcOgIhga2uLYcOG1Rre2NgYxsbGyM/Px8GDBzFr1qyPJTqDwWAwGAxGo2A9\ngNWwtbXF0qVLeW4VFRXYt28fli5dis2bNyM0NBTp6en1xqOgoICysrIPKSqDwWAwGAzGW8F6AKth\naGiI7OxsnltycjJatWoFDQ0NAIClpSXu3r2LNm3a4OXLl/jzzz+RlpaG06dPo3Xr1oiMjERRURG+\n+uqrpsgCg8FgMBgMRr0wA7AR5Obm8ubzqaqqIjk5GQCgqKiISZMm8fz37Nnzo8rHYDAYDAaD8SYw\nA7AJiI2NRWxsLLKyspCdnY3Vq1dDSUmpqcVqMmRkZFj+Wf6bWowmoTnnHWD5b+75B4CVK1dCQ0MD\nmpqaMDExgYmJSVOL1GxgBmAjUFVVRU5ODnedm5sLVVXVt46vNiUvKCh46/j+v6OkpMTyz/Lf1GI0\nCc057wDLP8u/ElavXt3UYjRb2CKQWiAiEBF3bWBggIyMDGRnZ6OsrAyhoaHo3r17E0rIYDAYDAaD\n8fawHsBqbN++HXFxcSgoKMDUqVMxfPhw2NraYvz48fjxxx9BRLCzs4O2tnZTi8pgvBVEQFqaCM+f\nC6GiUgFd3XIIBE0tFYPBYDA+JswArMbs2bNrdTczM4OZmdlHlobBeH8QAfv2KeD0aTmkpopQWCiA\nggJBT68cw4a9woQJhcwQZDAYjGYCMwAZjGYAETBnTksEBIhRLJ0B9F0PKKUjr6AN/r2xGAkbtBAT\nI41t2/KYEchgMBjNAGYAMhjNgH37FHDunBjFRvsAmzWA8n//u2l4Gq+ursS5c+PRtas8JkwoajpB\nGQwGg/FRYItAGIzPHCLg9Gk5vJLKqGn8AZXXNqvxSioDp07JN42QDAaDwfiosB5ABuMzhP6PvbuP\nq7q8/wf+uj7ciMIROXhQlMqKjEArTCujXAebZDdGrbG+bd3RLC0XZbVirIhGdxNalH1pOYy2texX\nOmtbzZVraaebUcRKaLXTcls44uDx5iAoN5/r9wfFV9JU9PM51/mc6/V8PHzUucRz3tc5JK+uWymB\nbVuAQBsCLW04p28bLj/9d4gPxCGm/SgYAGKk+OIXEAMB8/TL0Rs8AdsfEkhKTQBGjABGJAz8GpUE\nkeQCEnf7leSCiItX3VUiIjoIDIBEUUJ2d0G+9Spk45vAp/8A4uMBz3gYMROws+do+BJM7ErZClNI\n9APoF3LgFwBTSIieozH6s3NwzPgAksbvAHp2Ajt3AqHtwOebYHaGgK4Q0BkCdnQCO7YDhgEkjh4I\nhMljIEanAGNSgGQ3RPLAP5GcAiSnQIxIUP0WERHRFxgAiaKA/OTvMB//KXDkZBhnzQMyj4NIHLhh\nIPRpDOqeHIutRzUDqS9//ZN0TcaYHWcCp3TAOLJ//68pJdCzayAQdm4Htm+F3BYcGHn8vBXmxxsG\n/v3LX7GxgNsDpKZBpA78E+409B12BOTIJGD0GAjuQCEiCgsGQCIHk329kM//BtL3CowrfgBxwp73\nUE+a1I8jj+zHe6+XAlmr91wDCADbMgDfbTgyc+BrD4QQ4v+miFM9A21fV6eUQNcOYHM7EGyH3BwA\nNrdD/vNjdL/yPMxA20CYTEuHGDcRGD8RGDcBYlwGMH4ixEiuTSQishIDIJFDSSkhf7kUcttWGHc9\nPDD9uhdCAIWF3fj7/ePR/Zdy4MyKoSFwWwbwl3KM7BuPCy/cbkutQgggMWng1+FHDQmKX16HJbu7\ngM9bIdtagc83Ae+/A7Nt9cC/jx4DHHYkxGFHQRx2JHD4UUDKWI4YEhEdJAZAIoeS69ZAbvoPjFvv\n3e/6uquv3oEPPojDH/5QjG7/OUDeA8Do/wDbDwN8t2Fk33ice+5OFBerOwJGjBwFTDoGYtIxQ9ql\n2Q+0/xfyP58C//knzNdeAv71CRATA3H0cUBmFsQxOcBhR0EYPNiAiOhAMAASOZT0vQLjossOaHOF\nEMBDD23F8cePwm9/OxafvvUguroERo2SODKzHxdeuB3FxV0ReQi0MGKA8RkQ4zOAGWcA+GJKOdAG\n+cnfAf+HMF9bA+wIQeRMA6ZMg5gybXANJBER7YkBkMiBZKAN6PgcOPb4A/4zQgBXX92Fq6/uwqef\nxmDrVgNjxpgHvOYvkgghBtYLpqUDM70AANnxOeSGdyEb1kM+VQtMngJxypkQJ54CERenuGIiosjC\nAEjkQLJhPcRJeRAxMQf15wdCn/OC376IseMgzjwHOPOcgSNx3nsT8rWXIJ/5BYT3HIhvnA2RNFp1\nmUREEYEBkMiB5EcfwJh9vuoyIpYYOQritNnAabMhP9sI+coLMO9YCDF7HkTBhTzAmoi0xxXTRE7U\n3w/Ej1BdhSOIjEkwrrwBxo+qIf/9Ccy7SyD/5VddFhGRUgyARE4kJSJyx0YEE57xiLnuRxDzLoX5\n0F0w335NdUlERMpwCpjIkSS+/thl2hdjxhmQE46A+dCdMKWEceqZqksiIgo7jgASOZHJEcBDISYe\nDuOmuyH/Xx3kv/+puhwiorBjACRyJAbAQyUmHA7x7WKYdQ9C9vaqLoeIKKwYAImcSErOAFtAnHom\nkJwC+c7rqkshIgorBkAix2ICPFRCCBjecyFfe0l1KUREYcUASORE3AVsneNnAJsDkJ99qroSIqKw\n4S7gQ9Te3o5Vq1ahq6sLixcvRkNDAxobG9Hd3Y38/Hwcf/yBX9VFdMCkVF1B1BAxMRAnzID8+wcQ\nGUeqLoeIKCw4AniI0tLSsGDBgsHHM2bMwLXXXov58+fjjTfeUFgZRT2OAFonLp6hmoi0whHAr6it\nrUVjYyOSk5NRVVU12N7U1IT6+npIKeH1elFYWLjP51m5ciXOPvtsu8slXXEK2GICkKbqIoiIwoYj\ngF/h9XpRVlY2pM00TdTV1aGsrAzV1dXw+XxobW392ud46qmnMG3aNEyaNMnmaklbkgdBW0pg4Gxt\nIiJNcATwK7KyshAIBIa0+f1+pKenw+PxAADy8vLQ0NCAiRMnorOzE08//TQ2btyI1atXY8SIEdiw\nYQO6u7vR1taGs846S0U3KNrxGBhrCQNMgESkEwbAAxAMBpGamjr42O12w+8fuEw+KSkJ8+fPH/L1\nc+fO3efzNTc3o7m5Ge3t7QgEAqioqIDL5bK+cIeIj49n/4fZ/5BhYGRSEmKj4H2LhM+/e0Q8RFw8\nEsJcRyT0XSX2X+/+A0B5eTk8Hg/S0tKQk5ODnJwc1SVpgwFQgb19k4dCIUXVqOdyudj/Yfa/v78P\nXV1dEFHwvkXC52/29AK7dqI3zHVEQt9VYv/Z/4qKCtVlaItrAA+A2+1GR0fH4ONgMAi3262wItKe\nBDgHbCFDcBcwEWmFAXAvpJSQu/0wyMzMRFtbGwKBAPr6+uDz+TB9+nSFFRJxF7C1GACJSC+cAv6K\nmpoatLS0IBQKYeHChSgqKoLX60VxcTEqKyshpUR+fj4yMjJUl0o64yYQawkGQCLSCwPgV5SUlOy1\nPTc3F7m5uWGuhmhfmACtw3NgiEgvnAImciIeBG0tQwAmAyAR6YMBkMiJeBC0xTgCSER6YQAkciKu\nAbQW8x8RaYYBkMiR5Be3V5AleBMIEWmGP0GInIgzwNYS4BpAItIKAyCRE3ENoMU4B0xEemEAJHIk\n7gK2FM8BJCLNMAASORE3gViLAZCINMMASORYTICWYQAkIs0wABI5EQ+CthjXABKRXhgAiZyIo1XW\nMjgCSER6YQAkciqOAFqIAZCI9MIASORE0uRB0FbiDDARaYY/QYiciMcAWksYA6GaiEgTDIBETsSD\noK3Ft5KINMMASORI3AVsLa4BJCK9MAASOREHAK0lDAZAItIKAyCRIzEBWkqAAZCItMIASOREPAja\nWoLbgIlILwyARE7Eu4CtxavgiEgzsaoLiDafffYZnn32WbhcLkyZMgWnnnqq6pIoajEBWocBkIj0\nwhFAizU1NWHu3Ln4/ve/j3Xr1qkuh6KVNDkFbCWOABKRZjgCuB+1tbVobGxEcnIyqqqqBtubmppQ\nX18PKSW8Xi8KCwsBALNmzcJzzz2Hd955B52dnarKpmgnwQBoJb6VRKQZjgDuh9frRVlZ2ZA20zRR\nV1eHsrIyVFdXw+fzobW1FQAwevRoFBcX49JLL4XL5VJRMumAm0CsJQzA5E0gRKQPjgDuR1ZWFgKB\nwJA2v9+P9PR0eDweAEBeXh4aGhowceJEBAIB/Pa3v8WuXbswb948FSWTFngMjPU4BUxE+mAAPAjB\nYBCpqamDj91uN/x+PwDA4/Hgmmuu2eefb25uRnNzM9rb2xEIBFBRUaH1aGF8fDz7P8z+bwWQ5HLB\nSEyyp6gwioTPf9fIkeiPjcOoMNcRCX1Xif3Xu/8AUF5eDo/Hg7S0NOTk5CAnJ0d1SdpgAFRgb9/k\noVBIUTXquVwu9n+4/ZcSnZ2dEKbzR60i4fM3d/UAPbvCXkck9F0l9p/9r6ioUF2GtrgG8CC43W50\ndHQMPg4Gg3C73QorIu1wDaC1eA40EWmGAfAASCkhdzsiIjMzE21tbQgEAujr64PP58P06dMVVkja\n4RJAizEBEpFeOAW8HzU1NWhpaUEoFMLChQtRVFQEr9eL4uJiVFZWQkqJ/Px8ZGRkqC6VtMIEaCmD\n5wASkV4YAPejpKRkr+25ubnIzc0NczVEX+BB0BZjACQivXAKmMiJeBC0tXgTCBFphgGQyIm4CcRa\nfC+JSDMMgESOxDWAlhKCN4EQkVYYAImciPnPYgKSu4CJSCMMgESOxARoJcFTYIhIMwyARE7ENYDW\nEsbAzmoiIk0wABI5EQcArcURQCLSDAMgkSMxAVqLCZCI9MIASOREnAK2Fm8CISLNMAASOcyX91IL\nBkALMQASkV4YAImchqN/1uNNIESkGQZAIsfh+j/LMVATkWYYAImchvnPekLwGBgi0goDIJHTcArY\nBpwCJiK9MAASOQ6HAC0nBE+BISKtMAASOQ3zn/U4BUxEmmEAJHIcJkDL8e0kIs0wABI5jck1gNbj\nGkAi0gsDIJHjSI5YWY3nABKRZhgAiZxGSkDwP11LMQASkWZiVRcQbaSUeOaZZ9DV1YXMzEzMmjVL\ndUkUdbgG0HJCgNuAiUgnHEawWENDAzZv3ozY2Fi43W7V5VA0Yv6zHkcAiUgzHAHcj9raWjQ2NiI5\nORlVVVWD7U1NTaivr4eUEl6vF4WFhQCATZs24dhjj8VZZ52FBx98EFOmTFFVOkUrHgRtAwZAItIL\nRwD3w+v1oqysbEibaZqoq6tDWVkZqqur4fP50NraCgBITU1FUlISAMAw+PaSHTgEaDmOABKRZphQ\n9iMrKwuJiYlD2vx+P9LT0+HxeBAbG4u8vDw0NDQAAE455RQ0NTXhiSeeQHZ2toqSKdox/1mPI6pE\npBlOAR+EYDCI1NTUwcdutxt+vx8AEB8fjwULFqgqjbTABGg5IQCTN4EQkT4YABVobm5Gc3Mz2tvb\nEQgEUFFRAZfLpbosZeLj49n/YfTflCZChhE171kkfP59iYnoVvCeRkLfVWL/9e4/AJSXl8Pj8SAt\nLQ05OTnIyclRXZI2GAAPgtvtRkdHx+DjYDA4rB2/e/smD4VCltXnNC6Xi/0fRv9lZwgSMmres0j4\n/GV3N8z+/rDXEQl9V4n9Z/8rKipUl6EtrgE8AFJKyN0WiGdmZqKtrQ2BQAB9fX3w+XyYPn26wgpJ\nK5JTwNbjJhAi0gtHAPejpqYGLS0tCIVCWLhwIYqKiuD1elFcXIzKykpIKZGfn4+MjAzVpZI2eAyM\n5QQYAIlIKwyA+1FSUrLX9tzcXOTm5oa5GiJ8sQeEAdBSvAmEiDTDKWAip+FB0NYTAjAZAIlIHwyA\nRI7DNYDW4wggEemFAZDIaZj/rMebQIhIMwyARE7DXcDW45Q6EWmGAZDIabgG0Hq8CYSINMMASOQ4\nkgOAluMbSkR6YQAkchpOAVvP4BpAItILAyCR03AK2AYMgESkFwZAIidiALQWbwIhIs0wABI5DUcA\nbcBzAIlILwyARI7DoGI5rgEkIs0wABI5De8CtgEDIBHphQGQyGm4C9h6vAmEiDTDAEjkOFwDaDkG\nQCLSDAMgkdNIHgRtOcFNIESkFwZAIqfhFLANBPMfEWmFAZDIabgJxHqcAiYizTAAEjkO1wBajgGQ\niDTDAEjkNDwI2noC4BwwEemEAZDIcRhULCcMjgASkVZiVRcQbVpbW/Hiiy8iFAphypQpmDNnjuqS\nKNpwDaD1eBcwEWmGI4AWmzhxIubPn4+bbroJH3/8sepyKBpxF7ANuAaQiPTCEcD9qK2tRWNjI5KT\nk1FVVTXY3tTUhPr6ekgp4fV6UVhYOPh777zzDl5++WXMmjVLRckU9XgOoOV4DiARaYYjgPvh9XpR\nVlY2pM00TdTV1aGsrAzV1dXw+XxobW0d/P3p06ejtLQU69evD3e5pANuArGeEIDJAEhE+uAI4H5k\nZWUhEAgMafP7/UhPT4fH4wEA5OXloaGhARMnTkRLSwvefvtt9Pb2Ytq0aSpKpmjHKWDrcQSQiDTD\nAHgQgsEgUlNTBx+73W74/X4AQHZ2NrKzs1WVRjrgJhAb8CYQItILA6ACzc3NaG5uRnt7OwKBACoq\nKuByuVSXpUx8fDz7P4z+940aie7Y2Kh5zyLh85cxAtuAsNcRCX1Xif3Xu/8AUF5eDo/Hg7S0NOTk\n5CAnJ0d1SdpgADwIbrcbHR0dg4+DwSDcbvcB//m9fZOHQiHL6nMal8vF/g+j/3LHDpimGTXvWSR8\n/rK7C1DwnkZC31Vi/9n/iooK1WVoi5tADoCUEnK3IyIyMzPR1taGQCCAvr4++Hw+TJ8+XWGFpBUe\nV2I93gRCRJrhCOB+1NTUoKWlBaFQCAsXLkRRURG8Xi+Ki4tRWVkJKSXy8/ORkZGhulTSCdcAWos3\ngRCRZhgA96OkpGSv7bm5ucjNzQ1zNUTgMTC24EHQRKQXTgETOQ6DiuV4FRwRaYYBkMhpTI4AWk4Y\nYLAmIp0wABI5Dg+CthxHAIlIMwyARE7D/GcDrgEkIr0wABI5jvxiypIsI3gTCBHphT9FiJyGu4Ct\nJwQgTdVVEBGFDQMgkdNwqtJ6DNREpBkGQCInYmCxlPji/ZQM10SkCQZAIqfhFLA9BDeCEJE+GACJ\nHIchxR4MgESkDwZAIqfhQdD24FmARKQRBkAix+FBgLbgbSBEpBEGQCKnYf6zB0cAiUgjDIBEjsMp\nYHtwDSAR6YMBkMhpJG8CsYXB20CISB/8KULkNAwpNuFtIESkDwZAIsfhFLAthADTNRHpggGQyGl4\nELRNOAVMRPpgACRyHKYUWxicAiYifTAAEjkND4K2CUcAiUgfDIBEjsODAG0hACZAItIFAyCR0zD/\n2UMYPAeQiLTBAEjkOJwCtgVvAiEijcSqLiDa7Nq1C7/4xS8QFxeH7OxsnH766apLomjDXcA24U0g\nRKQPjgBa7O2338bMmTNxzTXX4J133lFdDkUhKQHBOWDr8RxAItIIRwD3o7a2Fo2NjUhOTkZVVdVg\ne1NTE+rr6yGlhNfrRWFhIQAgGAziiCOOAAAYBvM12YEjgLYQYmCHNRGRBhydUEKhENatW4fnn38e\nwED42rx5s6Wv4fV6UVZWNqTNNE3U1dWhrKwM1dXV8Pl8aG1tBQCkpqYO1iA5nUR24BSwPTgCSEQa\ncWwAbGlpwY033oj169dj5cqVAIC2tjYsW7bM0tfJyspCYmLikDa/34/09HR4PB7ExsYiLy8PDQ0N\nAICTTz4Zb731Fn7xi1/gpJNOsrQWIgBcp2YbngNIRPpw7BRwfX09brzxRkydOhVXXXUVACAzMxOf\nfPKJ7a8dDAaRmpo6+NjtdsPv9wMARowYgeuuu872GkhjHAG0h+BNIESkD8cGwEAggKlTpw5pi42N\nRX9/v6KKDlxzczOam5vR3t6OQCCAiooKuFwu1WUpEx8fz/4Po/89CQnojYtDYpS8Z5Hy+W8zDCQl\nJsIIYy2R0ndV2H+9+w8A5eXl8Hg8SEtLQ05ODnJyclSXpA3HBsCMjAw0NTXhxBNPHGz74IMPcPjh\nh9v+2m63Gx0dHYOPg8Eg3G73Af/5vX2Th0Ihy+pzGpfLxf4Po/9mdzfQ1xc171mkfP4SEp2dnRAj\nRoXtNSOl76qw/+x/RUWF6jK05dgAeNlll+GBBx5Abm4uenp68Pjjj+Pdd9/FrbfeavlrSSmHbOjI\nzMxEW1sbAoEAUlJS4PP5UFJSAuDrdwcTWYZTwPbgTSBEpBHHBsDJkydjyZIlWL9+PRISEjB27Fjc\ne++9Q9bmWaGmpgYtLS0IhUJYuHAhioqK4PV6UVxcjMrKSkgpkZ+fj4yMjMHdwXfeeSdSUlJQWlqK\nGTNmYOLEiZbWRLrjXXC2YQAkIk04MgCapom7774bZWVluOCCC2x9rS9H9r4qNzcXubm5Q9p23x0M\nYHB3MAMgWUqCI4B2ELwJhIj04chjYAzDQHt7e8Sds7e33cHBYFBhRRSdOAVsC54DSEQaceQIIABc\nfPHFWLZsGYqKivaY9lV1A0dfXx9aWlrw+OOPIzs7+2u/jruAh9J9J9xw+79rxAj0x8dhVJS8Z5Hy\n+W+PiUHiyFGI4S7gsGH/9e4/wF3AKjk2AP785z8HAKxbt26P33vmmWfCXQ4AYNOmTUhISMA111yD\nhx56CJMmTdrr7mDuAh6KO+EOYhdwL3cBW800JXbs6IQIYy2R0ndV2H/2n7uA1XFsAFy6dKntrzHc\ne4BjY2Oxfft2BAIBABiyO5jIMtwFbA+DN4EQkT4cGwC/3Ghhmia2bduG5ORky6d+vV4v5s6dOyRs\n7munr8fjwezZs1FZWYktW7bgoosuQkZGhqU1EXENoF14EwgR6cOxAbCrqwvLly+Hz+eDaZqIiYnB\naaedhuLiYowaZc1BrllZWYOjeV/a107fk08+GXV1dZg6dSqysrJw+umnW1IH0RAcpbKH4AggEenD\nsQHwiSeewM6dO1FdXQ2Px4NAIIAVK1Zg+fLlWLRokW2vy3uASTlOAduICZCI9ODYANjU1ISlS5di\nxIgRAIAJEybguuuuww9+8APFle0fdwEPpftOuIPbBRzPXcAW2x4bi8SRI7kLOIzYf737D3AXsEqO\nDYDx8fHYvn374FQsAGzfvh2xsQffpTVr1mDt2rUQQqC0tBRjxozZ42sO9R5ggLuAv4o74Ya5C3jn\nTt4FbAPTNLFjxw7uAg4j9p/95y5gdRwbAPPz81FZWYlzzz13cAr4D3/4A84666yDfs6CggIUFBQM\naRvOPcBE4cGr4GzBm0CISCOODYAXXXTRYAD7chTuggsugNfrtew1hnMPMFHYSMn8ZwfeBEJEGnFs\nABRCID8/H/n5+ba9xnDuASYKGwkwAdqAI4BEpBFH3gUMAMuXL8dHH300pO2jjz5CfX29moKIwkWa\n3AVsCwZAItKHYwOgz+fD0UcfPaTtqKOOwuuvv66oIqJw4TEwtuA5gESkEccGQCEETHPoqf2maQ7Z\nsEEUlfgtbg/Bm0CISB+ODYBZWVlYsWLFYAg0TRPPPvsssrKyFFdGZDMeBG0PrgEkIo04dhPIVVdd\nhfvvvx/XXnstxo4di46ODqSkpOC2225TXRqRzXgMjC0YqolII44NgKmpqXjggQfg9/uxefNmpKam\nIjMzE4bh2EFNogMjARgMK5bjFDARacTRackwDEyePBkzZ85ET08P/v73v6suiSgMOAJoG84AE5Em\nHBsAy8vLBwPf6tWrUVNTg5qaGqxatUpxZUQ240HQ9uAaQCLSiGMD4H/+8x9MnjwZALB27VqUl5fj\nnnvuwcsvv6y4MiKb8SBoezAAEpFGHLsG8MvjXtra2gBg8Dq2HTt2KKuJKDy4C9gWvAqOiDTi2AB4\n7LHHYvny5diyZQtmzJgBYCAMulwuxZUR2cw0OQBoC44AEpE+HDsFfP3112PUqFE44ogjUFRUBADY\ntGkTzjnnHMWVEYUDE6DlOAVMRBpx7Aigy+XCpZdeOqRt2rRpiqohCiMeBG0PBkAi0ohjRwCJ9MVj\nYGzBNYBEpBEGQCKnYf6zhxDMf0SkDQZAIqeREhD8T9d6vAmEiPTBnyJEjsODoG3BGWAi0oijNoE8\n8sgjEAew+H3RokVhqIZIEQluArGDMMAESES6cNQI4Pjx4zFu3DiMGzcOo0aNQkNDA0zThNvthmma\naGhowKhRo1SXSWQz7gK2hRCAyQBIRHpw1Ajgt7/97cF/v+eee3D77bfjuOOOG2z7+9//jpUrV6oo\njSh8TAnEqC4iWjEAEpEeHDUCuLuPP/4YxxxzzJC2zMxMfPzxx4oqIgoXbgO2Bc8BJCKNODYAhhO3\n4QAAIABJREFUHnnkkXj66afR09MDAOjp6cGKFSswadIktYUR2Y0HQduDAZCINOKoKeDdXXfddXj4\n4YdxxRVXICkpCZ2dnTj66KNxww03qC6NyGYMKbZgACQijTg2AKalpaGyshIdHR3YsmULUlJSMHbs\nWKU1tba24sUXX0QoFMKUKVMwZ84cpfVQlOIuYJvwHBgi0odjp4ABIBQKoaWlBS0tLRg7diyCwSA2\nb96srJ6JEydi/vz5uOmmm7gWkezDg6DtYfAmECLSh2NHAFtaWlBdXY2jjjoKH330ES644AK0tbXh\nhRdewO23327Ja9TW1qKxsRHJycmoqqoabG9qakJ9fT2klPB6vSgsLBz8vXfeeQcvv/wyZs2aZUkN\nRHviQdD24E0gRKQPxw4j1NfX48Ybb0RZWRliYgbOxMjMzMQnn3xi2Wt4vV6UlZUNaTNNE3V1dSgr\nK0N1dTV8Ph9aW1sHf3/69OkoLS3F+vXrLauDaAhOAduDSwCJSCOOHQEMBAKYOnXqkLbY2Fj09/db\n9hpZWVkIBAJD2vx+P9LT0+HxeAAAeXl5aGhowMSJE9HS0oK3334bvb29mDZtmmV1EA3FY2DsIHgT\nCBFpxLEBMCMjA01NTTjxxBMH2z744AMcfvjhtr5uMBhEamrq4GO32w2/3w8AyM7ORnZ2tq2vTwST\nU8C2EAIwOQVMRHpwbAC87LLL8MADDyA3Nxc9PT14/PHH8e677+LWW29VXdp+NTc3o7m5Ge3t7QgE\nAqioqIDL5VJdljLx8fHs/zD63x0XB5GQgIQoec8i5fPfEReHuIQExIexlkjpuyrsv979B4Dy8nJ4\nPB6kpaUhJycHOTk5qkvShmMD4OTJk7FkyRKsX78eCQkJGDt2LO69994ho3PDtWbNGqxduxZCCJSW\nlmLMmDF7fI3b7UZHR8fg42AwCLfbPazX2ds3eSgUOriio4DL5WL/h9F/s2cXsKsHvVHynkXK52/2\n9aOvuxu7wlhLpPRdFfaf/a+oqFBdhrYcGwBfeOEFzJs3DxdccMGQ9t///vc477zzDuo5CwoKUFBQ\nMKRNSgm528rwzMxMtLW1IRAIICUlBT6fDyUlJQf1ekQHjVPA1hPgLhAi0oZjdwGvXLlyWO0Ho6am\nBnfccQf++9//YuHChXj11VdhGAaKi4tRWVmJxYsXIy8vDxkZGZa9JtF+SW4CsQVvAiEijThuBHDD\nhg0ABo5j+fLfv/T5559j5MiRlr3W143s5ebmIjc317LXIRoW3gVsE94EQkT6cFwArK2tBQD09PQM\n/jsACCGQnJyM4uJiVaURhQkDoC0EbwIhIn04LgA++uijAIClS5di0aJFiqshUoAHQdtD8CYQItKH\nY9cAnnfeeUN24wJAR0cHNm7cqKYgorDhGkBbcBMIEWnEsQHwkUce2ePWj76+PixdulRRRURhwoOg\n7SEc+9chEdGwOfZvvI6ODowbN25I2/jx4/e4uo0o+nAE0BacAiYijTg2ALrdbvzzn/8c0vbPf/4T\nKSkpiioiChPuArYPZ4CJSBOO2wTypXPPPRdLlizBvHnzMG7cOHz++ef43e9+h4suukh1aUT2Y/6z\nnjC4BpCItOHYAHjWWWchMTERf/7zn7F582akpqbi8ssvx6mnnqq6NCJ78SBoe3ATCBFpxLEBEABm\nzpyJmTNnqi6DKLw4BWwPwYOgiUgfjg2AUkqsXbsWb7zxBrZv346qqiq0tLRg69atOO2001SXR2Qj\nBkB78Co4ItKHYzeBPPPMM3j11Vcxe/bswfMAU1NT8fzzzyuujMhmPAjaHrwLmIg04tgA+Nprr+G2\n225DXl4exBc/DNPS0tDe3q64MiKbcQ2gPRgAiUgjjg2ApmkiISFhSNvOnTv3aCOKOpIHQduCawCJ\nSCOODYC5ubn45S9/id7eXgADawKfeeYZnHTSSYorI7IbRwBtIQTzHxFpw7EB8PLLL8eWLVtw5ZVX\noqurC5dffjkCgQC++93vqi6NyF7cBWwT3gRCRPpw7C7gUaNG4dZbb8W2bdsQCAQwduxYjBkzRnVZ\nRPbjAKA9OANMRBpxbAAEgB07duD999/Hli1bkJKSgtzcXCQlJakui8hmTIC2EAaYAIlIF44NgBs2\nbEBVVRUmTJiAsWPHYvPmzairq8PNN9+MqVOnqi6PyD6cAraHAGAyABKRHhwbAOvq6nDNNdcMOfT5\nzTffRF1dHR566CGFlRGRM3EOmIj04dhNIFu2bNnj3t+TTz4ZW7duVVQRUZhICRiO/U83chk8B5CI\n9OHYnyKzZs3CH//4xyFtf/rTnzBr1ixFFQ0cRbNixQosX74c69atU1YHRTkeBG0TBkAi0odjp4A/\n/fRTvPzyy3jhhRfgdrsRDAaxbds2HHPMMSgvLx/8uoqKirDV1NDQgM2bN8PlcsHtdoftdUkvUkoY\nzH/W400gRKQRxwbA2bNnY/bs2ba+Rm1tLRobG5GcnIyqqqrB9qamJtTX10NKCa/Xi8LCQgDApk2b\ncOyxx+Kss87Cgw8+iClTpthaH+mKm0DswTWARKQPxwbAM8880/bX8Hq9mDt3LpYuXTrYZpom6urq\ncOeddyIlJQWlpaWYMWMGJk6ciNTUVMTFxQEADK7RIrtwCtgehuAuYCLShmNTymOPPYZdu3YNaduy\nZQvuuecey14jKysLiYmJQ9r8fj/S09Ph8XgQGxuLvLw8NDQ0AABOOeUUNDU14YknnkB2drZldRAN\nwfxnE44AEpE+HDsCuHPnTtxyyy34wQ9+gMmTJ8Pn82H58uW2TwsHg0GkpqYOPna73fD7/QCA+Ph4\nLFiwwNbXJ2ICtAnzHxFpxLEB8MYbb8T69evx05/+FBMmTMCWLVtw6623IisrS3Vp+9Xc3Izm5ma0\nt7cjEAigoqICLpdLdVnKxMfHs//D6H9nTAziR41CfJS8Z5Hy+e9MSIDs78fIMNYSKX1Xhf3Xu/8A\nUF5eDo/Hg7S0NOTk5CAnJ0d1SdpwbAAEBkbf4uLi8PnnnyMjIwPjx48/pOdbs2YN1q5dCyEESktL\n93q3sNvtRkdHx+DjYDA47B2/e/smD4VCB1d0FHC5XOz/MPrf39cHc2c3dkXJexYpn7/Z0wP09qEv\njLVESt9VYf/Z/3Ce1EFDOTYA/vKXv8T69esxf/58TJs2DU8//TRuueUWXH311Zg5c+ZBPWdBQQEK\nCgqGtEkpIXc7GiIzMxNtbW0IBAJISUmBz+dDSUnJIfWFaFik/OLeWrIW54CJSB+ODYCtra1YsmTJ\n4CjdZZddhpNOOgmPPvroQQfAr6qpqUFLSwtCoRAWLlyIoqIieL1eFBcXo7KyElJK5OfnIyMjw5LX\nIzog3AVsD54DSEQacWwALC0t3aMtOzt7yHl9h+rrRvZyc3ORm5tr2esQDYuUzH92YAAkIo04NgAC\nwPvvv4/XX38d27dvx+23345PPvkE3d3dPICZohwPgrYFAyARacSxC4leeuklLFu2DBMmTMCHH34I\nYGBH1YoVKxRXRmQzTgHbQ3ANIBHpw7EB8MUXX8Qdd9yBwsLCwVs3Jk6ciE2bNimujMhmzH/24Agg\nEWnEsQGwu7sbY8eOHdLW19eH2FhHz2oTHQAmQHswABKRPhwbAI877jisXr16SNtLL73EQyQp+kmu\nAbQFZ4CJSCOODYDFxcX461//iuuvvx47d+5ESUkJ3nzzTVxxxRWqSyOyH/Of9YQBSFN1FUREYeHY\n+dKUlBTcd999+OSTTxAIBJCamorMzMzB9YBEUYsHQduDoZqINOLYAAgAQghkZmYiMzNTdSlE4cN1\najbhGkAi0geHEYiciGsArScMBkAi0gYDIJHTSJMB0A4CDIBEpA0GQCKn4UHQ9uBB0ESkEQZAIqdh\n/rMHD4ImIo0wABI5DhOgPRgAiUgfDIBETsODoO3BEUAi0ggDIJETMf9Zj6GaiDTCAEjkNNwEYg8h\nAJM3gRCRHhgAiZyGU8A24hQwEemBAZDIiRgArScE8x8RaYMBkMhpTB4EbQveBEJEGmEAJHIkBkDL\n8SYQItIIAyCR00jJ/GcL3gRCRPqIVV1ANPnss8/w7LPPwuVyYcqUKTj11FNVl0RRiZtAbGHwHEAi\n0gdHAC3U1NSEuXPn4vvf/z7WrVunuhyKVjwGxiYMgESkD44A7kNtbS0aGxuRnJyMqqqqwfampibU\n19dDSgmv14vCwkIAwKxZs/Dcc8/hnXfeQWdnp6qyKdox/9mDN4EQkUY4ArgPXq8XZWVlQ9pM00Rd\nXR3KyspQXV0Nn8+H1tZWAMDo0aNRXFyMSy+9FC6XS0XJpAUmQFtwWp2INMIRwH3IyspCIBAY0ub3\n+5Geng6PxwMAyMvLQ0NDAyZOnIhAIIDf/va32LVrF+bNm6eiZNKBlAPr1chavAmEiDTCADhMwWAQ\nqampg4/dbjf8fj8AwOPx4JprrtnvczQ3N6O5uRnt7e0IBAKoqKjQesQwPj6e/R9G/7cbBhITkxAT\nJe9ZpHz+PSNHojc2FolhrCVS+q4K+693/wGgvLwcHo8HaWlpyMnJQU5OjuqStMEAqMDevslDoZCi\natRzuVzs/zD6b/b1YUdXF0SUvGeR8vnLXbtg9vaGtZZI6bsq7D/7X1FRoboMbTEA7mbNmjVYu3Yt\nhBAoLS3FmDFj9vgat9uNjo6OwcfBYBButzucZRKBawDtIADJKWAi0gMD4G4KCgpQUFAwpE1KCbnb\nzsDMzEy0tbUhEAggJSUFPp8PJSUl4S6VdMaDoO3Bc6CJSCMMgPtQU1ODlpYWhEIhLFy4EEVFRfB6\nvSguLkZlZSWklMjPz0dGRobqUkkrPAjaHkyARKQPBsB9+LqRvdzcXOTm5oa5GqIvSIBDgDbgTSBE\npBGeA0jkNJwCtgkDIBHpgwGQyHF4ELQteBMIEWmEAZDIaSTXANqC7ykRaYQBkMiJGFasJwzA7Fdd\nBRFRWDAAEjmNaTIA2iE+HujtUV0FEVFYMAASEQFAfAKwa5fqKoiIwoIBkMhpuAbQHgkJwK5u1VUQ\nEYUFAyCR4zAA2oIjgESkEQZAIqfhQdD24AggEWmEAZDIaXgQtD04AkhEGmEAJHIcHgRti9hYABKy\nr1d1JUREtmMAJHIaCa4BtIEQgqOARKQNBkAix+EmENuM4DpAItIDAyCR0/AgaPuM4AggEemBAZDI\niZj/7MERQCLSBAMgkdNIbgKxzYgRHAEkIi0wABI5DtcA2mbESKBnp+oqiIhsxwBI5DQ8CNo+I0ZA\n7mQAJKLoxwBI5DQ8CNo2giOARKQJBkAix+EUsG1GjAA4AkhEGohVXYCTtbe3Y9WqVejq6sLixYsB\nAA0NDWhsbER3dzfy8/Nx/PHHK66Sog6ngO0Tn8ARQCLSAkcAD0FaWhoWLFgwpG3GjBm49tprMX/+\nfLzxxhuKKqPoxilg2yQkcASQiLTAEcDd1NbWorGxEcnJyaiqqhpsb2pqQn19PaSU8Hq9KCws3O9z\nrVy5Emeffbad5ZKuTAkI/r+bLeITgB0dqqsgIrIdf4rsxuv1oqysbEibaZqoq6tDWVkZqqur4fP5\n0Nraus/neeqppzBt2jRMmjTJxmpJXxwBtE1CArCLI4BEFP0YAHeTlZWFxMTEIW1+vx/p6enweDyI\njY1FXl4eGhoaAACdnZ1YtmwZNm7ciNWrVwMAXnrpJWzYsAFvvfUWXnnllbD3gTTAg6DtE88ASER6\n4BTwfgSDQaSmpg4+drvd8Pv9AICkpCTMnz9/yNfPnTsXc+fODWuNpBvuAraLSEiAyQBIRBpgAFSg\nubkZzc3NaG9vRyAQQEVFBVwul+qylImPj2f/h9H/rRJwuVwQIxJsrCp8Iunz7x3jxq6+XiSFqZ5I\n6rsK7L/e/QeA8vJyeDwepKWlIScnBzk5OapL0obWAXDNmjVYu3YthBAoLS3FmDFj9vgat9uNjo7/\nWxQeDAbhdrsP6XX39k0eCoUO6TmdzOVysf/D6b+UCHV2QvT02ldUGEXS5y/7TZhdO8JWTyT1XQX2\nn/2vqKhQXYa2tA6ABQUFKCgoGNImpYSUcvBxZmYm2traEAgEkJKSAp/Ph5KSknCXSrQbTgHbZgTX\nABKRHrQOgF9VU1ODlpYWhEIhLFy4EEVFRfB6vSguLkZlZSWklMjPz0dGRobqUklnPAjaPgyARKQJ\nBsDdfN3IXm5uLnJzc8NcDdHX4TEwtmEAJCJN8BgYIqfhQdD2GTES2LVzyDIQIqJoxJ8iRI7DEUDb\nxMcDY9zARr/qSoiIbMUASOQ0PAjaNkIIiDMKIF97SXUpRES2YgAkciLuAraNyJsN+d6bkDs6VZdC\nRGQbBkAiB/lybZpgALSNGD0G4qQ8yNW/Ul0KEZFtGACJnISbE8JCXHwV5PvvQP6tQXUpRES2YAAk\nchQeAh0OYlQijPm3wHzyYciPN6guh4jIcgyARE7CQ6DDRmQeNxACH3sAMtix/z9AROQgDIBEThJo\nA0bveWc12UMcdwJE/rkw62sgTVN1OURElmEAJHIQ+d5bELmnqC5DK2LutwHThPzVowyBRBQ1GACJ\nHES+9yZE7kzVZWhFxMTAWPRjyLZWyMeXQO7sVl0SEdEhYwAkcggZDACB/wKTp6guRTsiYSSMxXcD\nCQkwf3IT5D9aVJdERHRIGACJHEKu/xPEtDyI2FjVpWhJxMXDuLIExreugPnY/ZCNb6ouiYjooPEn\nCZEDyO4uyL+8CKO0SnUp2hPTZsIYmwbzobsgujphnP5N1SUREQ0bRwCJHED++fcQ2dMg0tJVl0IA\nxOFHw7j1Psg1q2Auq4LcGlRdEhHRsDAAEkU4uTUI+crzEPP+R3UptBuRngGj7EHA7YFZ8QOYrzzP\nXcJE5BgMgEQRTq56EuKMORDjJqguhb5CJIyE8a0rYNz2AORf10M+8RBkX6/qsoiI9osBkCiCSf+H\nkB++D3FOkepSaB/E+AwYN98D2bML5n0/hNz0b9UlERHtEwMgUYSS/f0wVyyDuPhKiISRqsuh/RAj\nRsBYcDvEGXNgLimF+dRjkNu3qi6LiGivGACJIpDs2gHz4buBMW6Ik2epLocOkBACxplzYdxdC8TE\nwCy/nsfFEFFE4jEwh6C9vR2rVq1CV1cXFi9eDABoaWnBM888g4yMDOTl5SE7O1txleQ0cnM7zIfv\nhpg8BeKS+RBCqC6Jhkm4RkNcMh/y1DNhPnovxL/8EOdfAhEbp7o0IiIAHAE8JGlpaViwYMEe7QkJ\nCejt7UVqaqqCqsjJZPt/Yf70dogzvglx6bUQMTGqS6JDICYdA+PHD0K2/gtmRQlk45uQUqoui4iI\nI4C7q62tRWNjI5KTk1FV9X8H7jY1NaG+vh5SSni9XhQWFn7tc2RnZyM7Oxvbtm3Dk08+iRtuuCEc\npVMUkJvbYT54B8Tcb8M4c67qcsgiIjkFxvVlwIZGmKt+CfxxJYwrboCYeLjq0ohIYxwB3I3X60VZ\nWdmQNtM0UVdXh7KyMlRXV8Pn86G1tXW/z5WYmIi+vj67SqUoI1v/BbP6xxDfvAAMf9FHCAEx9SQY\nd/xsYJNI1Y9gvv0aRwOJSBmOAO4mKysLgUBgSJvf70d6ejo8Hg8AIC8vDw0NDZg4cSI6Ozvx9NNP\nY+PGjVi9ejUKCwvx17/+FU1NTejq6sLZZ5+tohvkILK/H93PLIf58vMQ37qC14pFOWEYEGfMgTzs\nSJhPPoIdb/8Fsuj7EOMnqi6NiDTDALgfwWBwyFo+t9sNv98PAEhKSsL8+fOHfP3JJ5+Mk08+Oaw1\nkjPJze0wl1WhPzEJxl2PQCSnqC6JwmRgbeDPEOt7GTsf+CFE7kyIC77L7wEiChsGQAWam5vR3NyM\n9vZ2BAIBVFRUwOVyqS5Lmfj4eO363/fh+9jx0F1IOK8Irgu/h16Nlwvo+Pl/Kf7C7yL+jDnY9fxv\n0HPvLRhVcidij52iuqyw0fmzB9h/ACgvL4fH40FaWhpycnKQk5OjuiRtaB0A16xZg7Vr10IIgdLS\nUowZM2aPr3G73ejo6Bh8HAwG4Xa7D+l19/ZNHgqFDuk5nczlcmnTf9nXC7luDeTvVsCYfzN6s3PR\n29enTf/3RqfP/6tcLhd2CAMo/B7EpGPQ+WA5xAkzIC68DCJptOrybKfzZw+w/y6XCxUVFarL0JbW\nAbCgoAAFBQVD2qSUQxZmZ2Zmoq2tDYFAACkpKfD5fCgpKQl3qRQF5D8/gln/MJAyFsbNlRAZk1SX\nRBFEnHgKjMk5kM//Buad10N88wII77m8BYaIbCEkt6ENqqmpQUtLC0KhEJKTk1FUVASv14v33ntv\n8BiY/Pz8fR4Dc7A2bdpk+XM6RbT/X7Ds64Vc/RTkm3+GuOQaiOl5Qw53jvb+74/O/f+6vsvWf0P+\nfgXkZxthXPcjiPQMBdXZT+fPHmD/J0yYoLoErTEARggGwOj8S1B2bof52APAiAQYV/wAYvSeywyi\nuf8HQuf+76/v5vo/Qa56EiL/fIizL4KIiw9jdfbT+bMH2H8GQLV4DiCRDWRvL8w//D+YdyyEmHQM\njOt/tNfwR7QvxhlzYPz4IcjPNsIsXwTzrb9A9verLouIooDWawCJ7CD/0QLzV48CaekwSqsg0tJV\nl0QOJlI9iFl4O2RLE8zfrYBc+zsYC0sh3GNVl0ZEDsYASGQRaZoD67bW/QnG/8wHpp02ZK0f0aEQ\n2SfCOO4EyD+uhFl508C5gWd8E8LgfdFENHwMgEQWkP4PYa7+NdDbM3DdFw/0JRsIISDmXgw55SSY\nv3kMcv2fYFx8JXDsVP7PBhENCwMg0SGQndshn3sCsuVvEOdfAjEzHyKW/1mRvcRhR8L44f2Qb/8F\n5q9rgbFpMK6+GcIV/WcHEpE1uAmE6CDJprdhli8CEkbBuHspjDPmMPxR2AghYJzqhVGxFCLjSJiV\nN0K+9xZ4sAMRHQj+tCIaJrmzC/LF5yDffHXgjLajs1SXRBoTMTEQF18JmZML8+nHgXV/hPHtYogJ\nh6sujYgiGEcAiQ6Q7OuDufZ3MMsWAFs6YJRVMfxRxBDHnQDjzocgjjsBZlUZzLoHIXd2qS6LiCIU\nAyDRAZD//Qzm/T+EfL8Bxk0VMK5eDDEmVXVZREOI2DgYcy6Ecd8yIC4e5j23QP6jRXVZRBSBOAVM\ntB/ybw0wn3wYYt6lEN84m7stKeKJEQkQly+C2bAe5uNLII47HuKiKyDGuFWXRkQRggGQ6GvIzz6F\nufJJ4PNNAwfvHpOtuiSiYTFmnAE59STI3z8Ds3wRxGn5EBddHnVXyhHR8HEKmOgrZG8PzGd+AfNn\n5RBTpsO4+1GGP3IskTAKxsVXwfjJo8CWzTAfuB2y9d+qyyIixTgCSLQbuTUIc2nlwLlqdz8KkehS\nXRKRJcToFODaHwJ/eQlm1Y8gZnohzv8fiJGjVJdGRApwBJAIA9e4mb61MCsXQ5x4Coxrb2P4o6gj\nhIDhPQdGxSPAjk6YZdfCfPFZyP5+1aURUZhxBJC0Jzf+A+av/heIi4Ox8HYe7UJRT4xOgbiqZGB3\n+4rHIVuaYBTfBOEeq7o0IgoTBkDSmrn295B/eAaiqBjilDO5w5e0ItIzYJSUQ774LMyflEDMuQji\nm/MgYuNUl0ZENmMAJC3Jvj7I1b+C/FsDjNIlEJ7xqksiUkIYMRDnXQJ58jdgrlgGuX4NxNyLIfLO\ngjC4SogoWjEAknbkRxtg/uYxwD0Wxm33QySNVl0SkXIiLR0xN9wJ+fEGmM/VQ/7trzCuKuFaWKIo\nxf+9I23I3l6YT9XCXP4gjAsuhXFDOcMf0VeIyVNg/PA+iLHjYN55Pcz1f4I0TdVlEZHFOAJIWpA7\nu2A+8hNglAvGXUt59AXRPojYOIhL5kPO9MJ86jHIdWtgnHcJcPx0rpMlihIMgBT1ZLAD5rIlEOmH\nQXzvOq5rIjpA4ohMGLf/FPLdN2CurId453Xge9dBjBihujQiOkQMgIegvb0dq1atQldXFxYvXgwA\n6OjowBNPPAGXy4Xx48ejsLBQcZX6klJCrv8T5G9/CZF/PsS5RQx/RMMkDANixumQx0+H/HUtzLsW\nwbhkPsQJJ6sujYgOAX8aHoK0tDQsWLBgSNu///1vzJw5EwsWLMDGjRvVFEaQvb2Qy38G+eofYNx6\nH4zzL2H4IzoEYkQCjKtvgnHZdTCfewL9D98N+ek/VJdFRAeJI4C7qa2tRWNjI5KTk1FVVTXY3tTU\nhPr6ekgp4fV69zmqN3nyZFRXV+PVV1/FGWecEY6y6Stkb8/Aer+EkQNHvMRzuorIKiI7F0b5w5Cv\n/RFm7X0QJ54CUXQ1RCx/nBA5CYdEduP1elFWVjakzTRN1NXVoaysDNXV1fD5fGhtbf3a53j11Vfx\nne98B3fccQcaGxvtLpm+Qvb3Qy5/CBiVCGPBbQx/RDYQsXEwZp8P466HITe3w7z3Zkj/h6rLIqJh\nYADcTVZWFhITE4e0+f1+pKenw+PxIDY2Fnl5eWhoaAAAdHZ2YtmyZdi4cSNWr14NADjxxBPx4osv\nYtmyZUhLSwt7H3QmA20wH7gNcmc3jKsXQxgxqksiimpiVBKMRT+GKLgI5s8fgLn8IchAm+qyiOgA\ncMx+P4LBIFJTUwcfu91u+P1+AEBSUhLmz58/5OsPO+ywwQ0hX6e5uRnNzc1ob29HIBBARUUFXC59\nD1uNj48/5P73Nr+Hrod/goQLLsWIsy9y1Ho/K/rvZDr3P2r6ftZ5kKd5sfOFp9Fz7y2Im3MBEi6+\nYr//ExY1/T9IuvcfAMrLy+HxeJCWloacnBzk5OSoLkkbDIAK7O2bPBQKKapGPZfLdUj9lxvehbn8\nIRjX3IrerOPRu2OHhdXZ71D773Q69z/q+n7udyDOmINdP/8pdjU3wfjuAoj0w772y6Ou/8PE/rtQ\nUVGhugxtaR0A16xZg7Vr10IIgdLSUowZM2aPr3G73ejo6Bh8HAwG4Xa7w1km7YP8lx8PTJkUAAAX\nrUlEQVRm3c9gXF8GkXmc6nKItCdGp8BYXAn5lxdh/rQU4rTZEOdczCvliCKM1gGwoKAABQUFQ9qk\nlJBSDj7OzMxEW1sbAoEAUlJS4PP5UFJSEu5SaS9ksAPm/94H43vXMfwRRRAREwMx+3zI6adDrv41\nzLIFA+dwnjWPN4kQRQghd087mqupqUFLSwtCoRCSk5NRVFQEr9eL9957b/AYmPz8fFsOd960aZPl\nz+kUBzMNIj/eAPPxJRBzLoQxx9mHbXMaSN/+69J3GWiD+dgDwNg0GJdcA5EysK5al/5/Hd37P2HC\nBNUlaI0BMEIwAB74X4Ky8Q2Yv64d2Ombk2tjZeGh+w8BnfuvU99lzy7IPzwLue4liLO/BZF/Pka7\n3dr0f290+vz3hgFQLedslSTCFxs+fl0Lo+SuqAh/RLoQ8SNgXPg9GLcvgfy4GeaPrkHPujWqyyLS\nltZrAMlZ5KZ//9+GjyOOVl0OER0EMW4CYn5wB+S//Ni5/GeQHzRCXHwlxKgk1aURaYUjgOQIsrdn\nYM3fRZdzwwdRFBBHZMJVWQsAMO+8HqZvLaRpKq6KSB8cAaSIJ3d0wnzsfoiJkyBO/6bqcojIImJU\nIozLF0F++g+YT/8c8pXnYRReBnHCDNWlEUU9BkCKaHL7FpjVd0Bk50J8+0oeIUEUhcSRx8AoXQJ8\n8A7Mpx6D+EczxAWXQsTFqy6NKGpxCpgiluzqHAh/J+XB+M7VvNuXKIoJISCOnwHjxw9Cfr4JZvki\nyA/eVV0WUdTiCCBFJNnfD/OxByCOOwHGvP9RXQ4RhYlwJSPm+h9BfvAuzBWPA6+MgzHvUoijs1SX\nRhRVOAJIEUm+9CwAQBQVK66EiFQQU0+CUbEUYvrpMGvvg7lmFTeJEFmIAZAijvz0Y8g//wHGVTdy\n2pdIYyI2DsYZc2CUVkE2vQ3z/h9CbvyH6rKIogIDIEUU+eHfYD7yExiXLxq8LoqI9CZSPTBuvQ/i\nG3NhLq2E+UQNZFur6rKIHI0BkCKG/PBvMB9fAuPaH0KceIrqcogoggjDgJE3G8bdjwJjx8F84DaY\nvldUl0XkWAyAFBHkZ5/CXFYFY8HtEMdOVV0OEUUoMSoJxvmXwLj1Xsg/rkL/0krIQJvqsogchwGQ\nlDND22A+ei/Ed74PcewU1eUQkQOICYfDuLMG4sjJMO+5GebqX0PuCKkui8gxGABJue76RyBOOBnG\nKd9QXQoROYiIi4NxbhGMO34GbA3CvOM6yPcbVJdF5AgMgKSUbHob/f4PIS68XHUpRORQIjUNxpU3\nwLjuRzB/9b8wf/NzyK5O1WURRTQGQFIrJgajFt4OMWKE6kqIyOFE5nEw7noY6O+HeecimG+shezv\nV10WUURiACSlxNTpiM3ipg8isoZIdMG47DoY1/8Icv3LMO+8HvJfftVlEUUcBkAiIoo64sjJiLnt\nfhgXXQbzobtgrv09pMnRQKIv8S5gIiKKWuKkPBgTjoD560ch3/wzjMuugzgiU3VZRMpxBJCIiKKa\nSM+Accu9EN5zYT58N/pr74fcGlRdFpFSHAE8BA0NDWhsbER3dzfy8/Nx/PHHo729HatWrUJXVxcW\nL16sukQiIgIghIDImw05PQ/ypedg3ncLjGt+CHF0lurSiJTgCOAhmDFjBq699lrMnz8fb7zxBgAg\nLS0NCxYsUFwZERHtjRiRAKPwezC+Mx9m7X0wVyyD3NmtuiyisOMI4G5qa2vR2NiI5ORkVFVVDbY3\nNTWhvr4eUkp4vV4UFhYO+XMrV67E2WefHe5yiYjoIIlpM2FMzoH8f8thli+CmPc/EDO9EEaM6tKI\nwoIjgLvxer0oKysb0maaJurq6lBWVobq6mr4fD60trYO/v5TTz2FadOmYdKkSWGuloiIDoVIGg2j\n+EYY378Zct0amLX3Q+7apbosorBgANxNVlYWEhMTh7T5/X6kp6fD4/EgNjYWeXl5aGgYuGropZde\nwoYNG/DWW2/hlVdeAQB0dnZi2bJl2LhxI1avXh32PhAR0fCIY7Jh3HovxMhEmPfezHMDSQucAt6P\nYDCI1NTUwcdutxt+/8BfDnPnzsXcuXOHfH1SUhLmz5+/z+dsbm5Gc3Mz2tvbEQgEUFFRAZfLZX3x\nDhEfH8/+s/+qy1BC574Dkdd/ecOP0fvGn9H9yE8QN/s8JBR+FyLevluKIq3/KpSXl8Pj8SAtLQ05\nOTnIyclRXZI2GAAV2Ns3eSgUUlSNei6Xi/1n/1WXoYTOfQcitP/Hnwzx40zsevpx7LrxezCuLIE4\n7gRbXioi+x9GLpcLFRUVqsvQltYBcM2aNVi7di2EECgtLcWYMWP2+Bq3242Ojo7Bx8FgEG63O5xl\nEhFRGIkxbsQsvB2y5T2Yy6pgfHcBxEl5qssispTWAbCgoAAFBQVD2qSUkFIOPs7MzERbWxsCgQBS\nUlLg8/lQUlIS7lKJiCjMRHYujJK7YNbeB/GPFohvXQkRF6e6LCJLCLl72tFcTU0NWlpaEAqFkJyc\njKKiIni9Xrz33nuDx8Dk5+fvcQyMFTZt2mT5czoFp0HYf137r3PfAef0X+7ohPnkw8Dm9oEp4cOO\ntOR5ndJ/u0yYMEF1CVpjAIwQDID6/iXI/uvbf537Djir/1JKyNdfhvztryAKLoJRcOEhP6eT+m8H\nBkC1tJ4CJiIiOhBCCIgz5kBOOQnmklKYQsCYY/1sEFG48BxAIiKiAyRSUmHcXAn5+sswf/2/kH19\nqksiOigMgERERMMgUv9/e/cfFFXd7wH8fc6KwFqCi0sBRv7YqMTSKTADRH6YjmhdxlK0pwxq6uoj\nWkxW6NS1iz9J8zfyDHJNs5nrI5OoXSl7RmQQLBPNqSt4E9FCStgfiCgg7p7v/YNxp5VFTcNDe96v\nf1zPfs85nw/fc5YP3+85ZwMhz18B0WiFsvo/IC42qh0S0R/GApCIiOgPknz1kGcvgBQWDuU/34T4\n36Nqh0T0h7AAJCIiug2SrIP8b3+DPDMTyn+thjhzSu2QiG4ZC0AiIqI7ID00FPIrc6DkLIao+1nt\ncIhuCQtAIiKiOySNeArS1Nc6rgmsrlI7HKKb4mNgiIiI/gTyyFgIXz2UjUshJb8EOXb8zVciUglH\nAImIiP4k0mMRkN9dDvGv3VA+36p2OERdYgFIRET0J5LuD4Gc+RHE0XIo35WqHQ6RWywAiYiI/mRS\nn3sgz8yE+O88iJr/Uzscok5YABIREXUDKXQw5NQ3oeQsgfilRu1wiFywACQiIuom0vBIyC/O7Lg7\nuPJ7tcMhcuJdwERERN1IejIK8r1+UP6xHNLU1yCPilM7JCKOABIREXU3KSwc8ttLIP6Zz+lg6hFY\nABIREd0FUkgopJTXoOR/DNHWqnY4pHEsAImIiO4S6ak4SKZHO4pAxaF2OKRhLACJiIjuEkmSIL34\n70D7FbTmfQyhKGqHRBrFApCIiOguknp5Qf77AjjO10FsWQdht6sdEmkQC0AiIqK7TPLxxT2ZyyEu\nN0PJXcaRQLrrWAASERGpQPLxhfz3BUDLJYgDe9UOhzSGBSAREZFKJJ0OcuqbEP/zT4i6X9QOhzSE\nBSAREZGKpPuCIU19DUrOYojLzWqHQxrBApCIiEhl8tPxkJ54Gsr6RXxGIN0VLACJiIh6AOn5VEjB\noRCfbVQ7FNIAfhcwERFRDyBJEvDSLKD5otqhkAZIQgihdhBEREREdPdwCrgH2LFjh9ohqIr5M3+t\n0nLuAPNn/trOX20sAImIiIg0hgUgERERkcawAOwBwsPD1Q5BVcyf+WuVlnMHmD/z13b+auNNIERE\nREQawxFAIiIiIo1hAUhERESkMXwQtIoKCgqwf/9++Pn5AQCmT5+OESNGAAAKCwtx4MAB6HQ6pKam\nYvjw4WqG2i2OHz+OLVu2QAiB+Ph4JCcnqx1St5s9ezb0ej0kSYJOp8OyZctw6dIlrFmzBmazGYGB\ngcjIyIBer1c71D9Fbm4ujh07Bj8/P6xcuRIAbpivpx337vLXynlvtVqxYcMGNDU1QZIkJCYmIikp\nSTP9f33+Y8eOxYQJEzTT/1evXsXChQtht9vhcDgwatQoTJkyRTP9/5cgSDU7duwQX3zxRafltbW1\n4p133hF2u13U19eL9PR0oSiKChF2H4fDIdLT00VDQ4O4evWqmDdvnjh37pzaYXW72bNni+bmZpdl\n27ZtE7t27RJCCFFYWCg+++wzNULrFlVVVeLMmTPi7bffdi7rKl9PPO7d5a+V876xsVGcOXNGCCFE\na2urmDt3rjh37pxm+r+r/LXS/0II0dbWJoTo+LxfsGCBOHXqlGb6/6+AU8AqE27uwamoqEBUVBR0\nOh0CAwMRFBSE6upqFaLrPtXV1QgKCoLRaESvXr0QHR2NI0eOqB1WtxNCdOrziooKjBkzBgAQFxfn\nUT+HRx55BH369HFZ1lW+nnjcu8sf0MZ57+/vj4EDBwIAfHx8EBISAqvVqpn+d5e/zWYDoI3+BwBv\nb28AHaOBDocDgLbO/56OU8Aq++qrr1BaWoohQ4ZgxowZ0Ov1sNlsCAsLc7YxGAzODw5PYbPZEBAQ\n4Py/wWDQxMkuSRIWL14MWZYxduxYJCYmoqmpCf7+/gA6fmk0NTWpHGX36ipfLRz312jtvG9oaMDP\nP/+MsLAwTfb/tfwfeughnDx5UjP9rygKMjMzUV9fj/Hjx8NkMmmy/3sqFoDdbNGiRS6/0IUQkCQJ\n06ZNw/jx4/HCCy9AkiRs374dn376KWbOnKlitNTdFi1ahH79+uHixYtYvHgxgoODO7WRJEmFyNSj\ntXy1dt63tbVh1apVSE1NhY+PT6f3Pb3/r89fS/0vyzI++ugjtLS0YOXKlaitre3UxtP7vydjAdjN\nPvjgg1tql5iYiOzsbAAdf/lYLBbne1arFQaDoVviU8v1OdpsNo/L0Z1+/foBAPr27YvIyEhUV1fD\n398fFy5ccP577eJwT9VVvlo47oGOvr/G0897h8OBjz/+GLGxsYiMjASgrf53l7+W+v8avV6PoUOH\n4vjx45rq/56O1wCq6MKFC87Xhw8fxgMPPAAAiIiIwKFDh2C329HQ0IDz58/DZDKpFWa3MJlMOH/+\nPMxmM+x2O8rLyxEREaF2WN3qypUraGtrA9AxKvDDDz8gNDQUTz75JEpKSgAAJSUlHvdzuP66x67y\n9dTj/vr8tXTe5+bmYsCAAUhKSnIu01L/u8tfK/1/8eJFtLS0AADa29vx448/IiQkRFP939Pxm0BU\ntGHDBpw9exaSJMFoNOKNN95wXhtRWFiI4uJi9OrVy2Nvhz9+/Dg++eQTCCGQkJDg8Y+BaWhowIoV\nKyBJEhwOB0aPHo3k5GRcunQJq1evhsVigdFoREZGhtsbB/6K1q5di8rKSjQ3N8PPzw9Tp05FZGRk\nl/l62nHvLv8TJ05o4rw/efIkFi5ciNDQUEiSBEmSMH36dJhMJk30f1f5l5WVaaL/f/nlF+Tk5EBR\nFAghEBUVhcmTJ9/w886T8v8rYAFIREREpDGcAiYiIiLSGBaARERERBrDApCIiIhIY1gAEhEREWkM\nC0AiIiIijWEBSERERKQxLACJyKNUVlZi1qxZd2VfZrMZKSkpUBTlttZPSUlBfX292/fKysqwZMkS\nt203bdqEnTt33tY+iYgAfhUcEfUwGzduREBAAFJSUtQORVUxMTGIiYlx+97rr7/ufF1ZWYn169cj\nNzf3boVGRB6AI4BE1KXbHdn6q+zvZnpaPO7wWf5EdDs4AkhELmbPno1x48ahrKwMv/76K7Zt24am\npiZs3rwZVVVV8PX1RVJSEiZMmAAAKCgoQG1tLWRZxvfff4+goCDMmjULDz74IACgrq4O+fn5OHv2\nLAwGA6ZPn+78/s+NGzeid+/eMJvNqKqqwowZM3Dw4EHIsoyioiKEh4fj3XffRWNjY5f7b29vx6ZN\nm1BRUQGDwYAxY8bcML+UlBSkpqaiqKgIra2tiIuLw0svvQSg47tJ9+/fD5PJhNLSUowbNw5Tp07F\nzp07UVxcjPb2dowYMQJpaWnQ6/XObRYXF6OgoAAAMGnSJDz77LMAgOrqamzZsgV1dXXo3bs3nnrq\nKbzyyivQ6XTOdY8dO9ZlLMXFxcjKyuqUw7VR0uTkZCxbtgx2ux0zZsyAJElYs2YN5s6di9zcXNxz\nzz0AgJqaGixduhR5eXmQZf7dT0QsAInIjUOHDmH+/Pm49957IUkSsrOzMXLkSGRkZMBisWDRokUI\nCQnB448/DgCoqKjAW2+9hblz52Lv3r1YsWIF1q1bByEEsrOzkZCQgPfffx9VVVVYsWIFli9fjqCg\nIABAeXk55s+fj7CwMFy9ehU//fSTyxTwtW10tf+CggI0NDQgJycHbW1tLtfNdeXIkSPIzs5Ga2sr\nsrKyEBwcjISEBAAdRVtMTAw2bdoEh8OBAwcOoLS0FB9++CH69u2L9evXY/PmzUhPT3du79o07Pnz\n55GVlYVBgwZh2LBhkGUZqampGDJkCKxWK5YuXYp9+/YhKSnplmKRJOmGeXh7e2PBggWdpoDDw8Px\nzTff4JlnngEAHDx4ENHR0Sz+iMiJnwZE1MmECRNgMBjg5eWF06dPo7m5GZMnT4YsywgMDERiYiLK\ny8ud7QcPHoyRI0dClmVMmjTJWcidOnUKV65cQXJyMnQ6HYYNG4YnnnjCZd2IiAiEhYUBALy8vDrF\ncrP9f/vtt3j++eeh1+thMBicI4M3kpycDL1ej4CAAEycONElHoPBgPHjx0OWZXh5eaG8vBwTJ06E\n0WiEt7c3XnzxRZSXl7tMD0+ZMgW9e/dGaGgo4uLiUFZW5vy5mEwmSJKE/v37Y+zYsaisrLzlWG5X\nbGwsSktLAXRMY5eXlyM2NvaOt0tEnoMjgETUSUBAgPO12WyGzWZDWlqac5miKHj00UfdtpckCQaD\nAY2NjRBCuLwHAEajETabze267txs/zabDQaDwWX7N/P79v3790djY2OX8dhsNpdtGo1GKIqCpqYm\nt+sYjUbU1tYCAH777Tds3boVNTU1aG9vh8PhwODBg285ltsVGRmJ/Px8mM1m1NXVoU+fPhgyZMgd\nb5eIPAcLQCLq5PdTjwEBAQgMDMTatWu7bG+1Wp2vhRCw2Wzo168fAMBisbi0tVgsCA4Odrsvd262\nf4PBAKvVigEDBgDoKBhv5vftLRaLM1Z38RgMBpdtms1m6HQ6+Pn5OfP+fU6/315+fj4GDRqEjIwM\neHt7o6ioCIcPH77lWG6Xl5cXnn76aZSWlqKurg6jR4++420SkWfhFDAR3ZDJZIKvry92796N9vZ2\nKIqC2tpanD592tmmpqYG3333HRRFwd69e+Hl5YWwsDCYTCZ4e3tj9+7dcDgcOHHiBI4ePYro6Ogu\n9+fv7+/ybLyb7X/UqFHYtWsXLl++DKvVin379t00pz179uDy5cuwWCz48ssvbxhPdHQ09u7di4aG\nBrS1tWH79u2IiopyuZ7u888/R3t7O2pra1FSUuLcXmtrK3x9feHt7Y26ujp8/fXXdxSLO/7+/rh0\n6RJaWlpclsfGxqKkpARHjx7l9C8RdcIRQCJycf0ImCzLyMzMxNatW5Geng673Y7g4GBMmzbN2SYi\nIgKHDh1CTk4O7r//fsybNw+yLEOWZbz33nvIz89HYWEhAgICMGfOHOcNIO4kJCRg1apVSEtLQ3h4\nOObNm3fD/U+ZMgV5eXlIT0+HwWBAXFwcioqKbphjZGQkMjMz0dLSgvj4eMTHx3fZNj4+Ho2NjVi4\ncCHsdjuGDx+OV1991aXN0KFDMWfOHADAc889h8ceewwA8PLLLyMvLw979uzBwIEDERUVhRMnTtx2\nLO4EBwcjOjoac+bMgaIoWL16Nfz9/fHwww9DlmUMHjwY/fv3/0PbJCLPJwk+RIqI7kBBQQHq6+td\n7ortyVJSUrBu3Trcd999aofS7bKyshATE+O8q5iI6BpOARMReaDq6mqcOXMGUVFRaodCRD0Qp4CJ\niDxMTk4OKioqkJaWBh8fH7XDIaIeiFPARERERBrDKWAiIiIijWEBSERERKQxLACJiIiINIYFIBER\nEZHGsAAkIiIi0hgWgEREREQa8//PD0CiAw7EqgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10db3c160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotExpectedScores(true_p=0.0001, wrong=\"noblock\")"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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MTU2RlJQEIkJ0dDQ++eQTqKuro7i4GKWlpUhISOB6FJWUlCAQCCASibibHyT5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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b4e9a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotExpectedScores(true_p=0.0000000001, wrong=\"noblock\")"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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KL7/8EkOGDMGsWbMwdepUFBcXQ01NDdu2bcOkSZMQEBAACwsL7uKrcPPmTSxfvhwymYwb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\nb79FIBDAyJEjMWLECNVlEdFASQkIE/z9kCNuRGQRpgxuALBjxw784x/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Pd0Jf/7rqkoiI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\nYONGRERE5CHYuBERERF5iP8Dw1m9z95QWDsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1109d8438>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotExpectedScores(true_p=0.05, wrong=\"noblock\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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