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@tmthyjames
Last active January 23, 2017 01:10
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NBA K Nearest Neighbors
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Finding the k-nearest neighbor of NBA teams' offense, defense, and overall."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Preface: I've had a python script scraping NBA player & team stats since the start of the 2015-16 NBA season that shoves the data into a digital ocean database. In this post we will query that database, use pandas to clean it up and insert necessary columns, and use scipy to find an NBA team's nearest offensive, defensive and overall neighbors."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### First, a short note on <a href=\"https://en.wikipedia.org/wiki/K-nearest_neighbors_algorithm\" style=\"text-decoration:none\">k-nearest neighbors</a>. Simply put, it's a basic machine-learning algorithm to predict unknown values by matching them with the most similar known values. In this post, we'll focus on clustering the neighbors around the input team and finding the <a href=\"https://en.wikipedia.org/wiki/Euclidean_distance\" style=\"text-decoration:none\">euclidean distance</a> of all other teams."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### First let's query our <a href=\"https://www.digitalocean.com\" style=\"text-decoration:none;\"/>digitalocean</a> database. We'll pass our connection string to SQLAlchemy's ```create_engine``` function, then use Pandas' ```.read_sql_query``` method to get the data."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from sqlalchemy import create_engine\n",
"import pandas as pd\n",
"import pandas.io.sql as psql\n",
"pd.options.display.max_columns = None\n",
"\n",
"sql = \"\"\"select distinct dateof, playername, team, \n",
" starterorbench, pt, r, a, pf, fg, fgatt, fg3, \n",
" fgatt3, ft, ftatt, to_, stl, bk, min, fpt, opp\n",
" from nbaplayers1516 \n",
" order by dateof asc\"\"\"\n",
"\n",
"engine = create_engine('postgres://postgres@localhost:5432/sports1')\n",
"dfp = pd.read_sql_query(sql, engine)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Here we're getting 3-point percentage and counting the games payed by each player."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#fg3_p\n",
"dfp['fg3p'] = dfp['fg3'] / dfp['fgatt3']\n",
"\n",
"#count games played\n",
"dfp['gamesplayed'] = dfp[dfp['min'] > 0].groupby(['playername','team']).cumcount()+1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"###But some players only play a few minutes per game, if at all, therefore we'll calculate actual games played by counting those games where the player played more minutes than the average minutes played by a player per game using Pandas' awesome ```groupby``` method and ```cumcount```, which performs a cumulative count of all rows that meet the criteria (```+1``` since it start at zero). Then we get a player's total minutes played using ```.cumsum()```."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"#account for low minutes\n",
"dfp['agamesplayed'] = dfp[dfp['min'] > dfp['min'].mean()].groupby(['playername','team']).cumcount()+1\n",
"\n",
"# total minutes\n",
"dfp['totalmin'] = dfp.groupby(['playername','team'])['min'].cumsum()\n",
"\n",
"#convert datetimes to strings\n",
"dfp['dateof'] = dfp['dateof'].apply(lambda x: x.strftime('%Y-%m-%d'))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Next we'll query team data. When I first wrote the web-scraping script, I pushed the data into the database with only team data, not ooponent data; that is, each row contains the team name, opp name and only team stats. Therefore, I have to join the table to itself to output rows that contain team and opp data so we can more easily calculate how a team performs against its opponents. At first, we exclude the all star teams so our data doesn't get skewed, but we'll also measure up the teams against them later on."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sql = \"\"\"select distinct h.dateof, h.team, h.opp, h.points, \n",
" h.fg, h.fgatt, h.ft, h.ftatt, \n",
" h.fg3, h.fg3att, h.offrebounds, h.defrebounds, h.totalrebounds,\n",
" h.assists, h.blocks, h.fouls, h.steals, h.turnovers,\n",
" a.points as opoints, a.fg as ofg, a.fgatt as ofgatt, \n",
" a.ft as oft, a.ftatt as oftatt, \n",
" a.fg3 as ofg3, a.fg3att as ofg3att, \n",
" a.offrebounds as ooffrebounds, a.defrebounds as odefrebounds,\n",
" a.totalrebounds as ototalrebounds, a.assists as oassists, \n",
" a.blocks as oblocks, a.fouls as ofouls,\n",
" a.steals as osteals, a.turnovers as oturnovers, \n",
" (h.fgatt + h.turnovers + (0.475*h.ftatt) - h.offrebounds) as poss_calc,\n",
" (a.fgatt + a.turnovers + (0.475*a.ftatt) - a.offrebounds) as oposs_calc\n",
" from nbateamstats1516 h\n",
" join nbateamstats1516 a \n",
" on h.opp = a.team \n",
" and h.team = a.opp\n",
" where h.dateof = a.dateof\n",
" and (h.team <> 'WES' or a.team <> 'EAS')\n",
" and (a.team <> 'WES' or h.team <> 'EAS')\n",
" order by h.dateof asc\"\"\"\n",
"\n",
"df = pd.read_sql_query(sql, engine)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# create fg3 percentage column\n",
"df['fg3p'] = df['fg3'] / df['fg3att']\n",
"#create fg percentage column\n",
"df['fgp'] = df['fg'] / df['fgatt']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### To accuratley compare the teams, we'll use Dean Oliver's <a href=\"http://www.basketball-reference.com/about/factors.html\" style=\"text-decoration:none;\">four factors</a>."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# four factors\n",
"df['efgp'] = (df['fg'] + (0.5 * df['fg3'])) / df['fgatt']\n",
"df['oefgp'] = (df['ofg'] + (0.5 * df['ofg3'])) / df['ofgatt']\n",
"df['ftrate'] = df['ft'] / df['fgatt']\n",
"df['oftrate'] = df['oft'] / df['ofgatt']\n",
"df['torate'] = df['turnovers'] / (df['fgatt'] + (0.44 * df['ftatt']) + df['turnovers'])\n",
"df['otorate'] = df['oturnovers'] / (df['ofgatt'] + (0.44 * df['oftatt']) + df['oturnovers'])\n",
"df['offrebound_p'] = df['offrebounds'] / (df['offrebounds'] + df['odefrebounds'])\n",
"df['ooffrebound_p'] = df['ooffrebounds'] / (df['ooffrebounds'] + df['defrebounds'])\n",
"\n",
"# gamecount\n",
"df['gamecount'] = df.groupby(['team']).cumcount()+1\n",
"df['ogamecount'] = df.groupby(['opp']).cumcount()+1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Let's take the mean of all teams using ```groupby('team').mean()```, then add the team column created from the index."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"nba = df.groupby('team').mean()\n",
"nba['team'] = nba.index.get_level_values('team')\n",
"\n",
"#convert datetimes to strings for easy comparison\n",
"df['dateof'] = df['dateof'].apply(lambda x: x.strftime('%Y-%m-%d'))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Next, we need to sum player mintues so we can calculate the <a href=\"http://www.sportingcharts.com/dictionary/nba/pace-factor.aspx\" style=\"text-decoration:none\">pace factor</a>, which is ```((team poss + opp poss) / (2 * (team min played / 5)))```. But to do that we also need to calculate <a href=\"http://www.basketball-reference.com/about/glossary.html\" style=\"text-decoration:none;\">team and opp possessions</a>: ```0.5 * ((Tm FGA + 0.4 * Tm FTA - 1.07 * (Tm ORB / (Tm ORB + Opp DRB)) * (Tm FGA - Tm FG) + Tm TOV) + (Opp FGA + 0.4 * Opp FTA - 1.07 * (Opp ORB / (Opp ORB + Tm DRB)) * (Opp FGA - Opp FG) + Opp TOV))```.\n",
"\n",
"###Pandas makes this really, *really* easy. We just use ```.groupby(['team', 'dateof'])['min']``` to group the data, then ```.apply``` a ```lambda``` function to ```.sum()``` all individual minutes played per team per game. Then we take the ```.mean()```. The rest is just plug-n-chug.\n",
"\n",
"###Damn! Thank you, <a href=\"https://twitter.com/Python_Pandas\" style=\"text-decoration:none;\">Pandas</a>."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"teamMP = dfp.groupby(['team', 'dateof'])['min'].apply(lambda x: x.sum()).mean()\n",
" \n",
"df['poss'] = 0.5 * ((df['fgatt'] + 0.4 * df['ftatt'] - 1.07 * (df['offrebounds'] / (df['offrebounds'] + df['odefrebounds'])) * (df['fgatt'] - df['fg']) + df['turnovers']) + (df['ofg'] + 0.4 * df['oftatt'] - 1.07 * (df['ooffrebounds'] / (df['ooffrebounds'] + df['defrebounds'])) * (df['ofgatt'] - df['ofg']) + df['oturnovers']))\n",
"df['oposs'] = 0.5 * ((df['ofgatt'] + 0.4 * df['oftatt'] - 1.07 * (df['ooffrebounds'] / (df['ooffrebounds'] + df['defrebounds'])) * (df['ofgatt'] - df['ofg']) + df['oturnovers']) + (df['fg'] + 0.4 * df['ftatt'] - 1.07 * (df['offrebounds'] / (df['offrebounds'] + df['odefrebounds'])) * (df['fgatt'] - df['fg']) + df['turnovers']))\n",
"\n",
"df['pace'] = 48 * ((df['poss'] + df['oposs']) / (2 * ( teamMP/ 5)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Now for the fun stuff. Here is where we define our nearest neighbor function. We give the user the option to choose a team, a side and wheather the data should be weighted.\n",
"\n",
"###Let's take a close look at what's going on.\n",
"\n",
"###First we create the columns to include in the <a href=\"https://en.wikipedia.org/wiki/Metric_space\" style=\"text-decoration:none;\">metric space</a>; this is where we use Oliver's four factors. Based on the ```side```, we tell the formula to use offensive or defensive or *all* columns. Next we get the ```.mean()``` of all the columns in the dataframe and create a new dataframe called ```nba_norm``` which we will normalize by setting the mean of all columns to 0 and the standard deviation to 1. This ensures that no column has a dominant impact on the euclidean distance since points scored is higher than blocks, steals or turnovers, etc. Next we weight our columns; I give effective field-goal percentage a slightly higher weighting than Oliver (his 40% to my 50%). Then we use the specified team as our point of comparison and calculate ```euclidean_distances``` using SciPy's ```.euclidean()``` method. Lastly, we return a dataframe that contains the teams and euclidean_distances."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from scipy.spatial import distance\n",
"\n",
"def nn(team, side=None, weight=False):\n",
" \n",
" # four factors: off, def\n",
" dist_cols = {\"off\": ['efgp', 'ftrate', 'torate', 'offrebound_p', 'pace'],\n",
" \"def\":['oefgp', 'oftrate', 'otorate', 'ooffrebound_p', 'oposs']}\n",
" \n",
" if side == 'off':\n",
" cols = dist_cols['off']\n",
" elif side == 'def':\n",
" cols = dist_cols['def']\n",
" elif side == 'overall':\n",
" cols = dist_cols['off'] + dist_cols['def']\n",
" \n",
" nba = df.groupby('team').mean()\n",
" nba['team'] = nba.index.get_level_values('team')\n",
" nba_num = nba[cols]\n",
" \n",
" nba_norm = (nba_num - nba_num.mean())/nba_num.std()\n",
" \n",
" if weight:\n",
" if side == 'off':\n",
" nba_norm['efgp'] = nba_norm['efgp'] * 1.5\n",
" nba_norm['ftrate'] = nba_norm['ftrate'] * 1.1\n",
" nba_norm['torate'] = nba_norm['torate'] * 1.25\n",
" nba_norm['offrebound_p'] = nba_norm['offrebound_p'] * 1.15\n",
" elif side == 'def':\n",
" nba_norm['oefgp'] = nba_norm['oefgp'] * 1.5\n",
" nba_norm['oftrate'] = nba_norm['oftrate'] * 1.1\n",
" nba_norm['otorate'] = nba_norm['otorate'] * 1.25\n",
" nba_norm['ooffrebound_p'] = nba_norm['ooffrebound_p'] * 1.15\n",
" \n",
" team_norm = nba_norm[nba.team==team]\n",
" euclidean_distances = nba_norm.apply(lambda row: distance.euclidean(row, team_norm), axis=1)\n",
" \n",
" distance_frame = pd.DataFrame(data={\"euclidean_distance\": euclidean_distances, \"idx\": euclidean_distances.index})\n",
" distance_frame.sort(\"euclidean_distance\", inplace=True)\n",
"\n",
" return distance_frame"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Here are the 5 most similar teams to Golden State. It's tempting to say that because GS's offense is *so* good that this can be used as a ranking tool, but that's not the case. These teams are just the most *similar* offensive teams, which doesn't mean that OKC is worse offensively than SA. Different teams play at different paces, which would impact their scoring and the opp's scoring which would impact their euclidean distance."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Let's plot this. It is interesting to note just *how* different even SA is than GS. SAC is *much* closer to SA than SA is to GS, which implies that there is no team that is all that close to GS. Yea. I like GS, but so do the numbers. And the LAL are, of course, much more different than GS than even NY is; just look at that spike!"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python2.7/site-packages/IPython/kernel/__main__.py:38: FutureWarning: sort(columns=....) is deprecated, use sort_values(by=.....)\n"
]
},
{
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Wjc/ng9PpLDoXQDgcBgDY7XYAwCuvvIKXX34Zd911Fy699FIAwLRp09TjABH2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\nF3So/Px8SVLJ0bb+PoEEAmYzto0bTejdts0cV7Zjh7RzZ8vHlDmdB9d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8AAAAAMCWaGTa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MBA6HS6/wkd4Q4OhwM5OTlITU3luiIzMxOpqalIS0vjujk7Oxsmkwk2mw35+fkC3cx4XVg3d+/e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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1092b5f90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"results = nn('GS', side='off', weight=True)\n",
"plt.xkcd()\n",
"xticks = results.index.values.tolist()\n",
"results.plot(figsize=(17, 8))\n",
"plt.xticks(range(len(results)), xticks)\n",
"plt.xlabel('team', fontsize=18)\n",
"plt.ylabel('euclidean_distance', fontsize=16);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Ok so let's forget about GS. Let's now look at the all-powerful SA defense (though, not that powerful since they got smoked by GS, but moving on...). Just as it was clear that no team is that similar to GS, it's also apparent that SA stands apart. Again, no matter how tempting it is to say that SA is defensively *better* because of what this graph illustrates, we must remember that that's not what this formula determines."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python2.7/site-packages/IPython/kernel/__main__.py:38: FutureWarning: sort(columns=....) is deprecated, use sort_values(by=.....)\n"
]
},
{
"data": {
"image/png": 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RERERUdd6kml7o2rDfE+mJCQSiR5fQT2XU8N2Pg/EYuqtUhfy7ovRf0VR8OKL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\n3rxZkjR//nyNGDFC/fr1a9J8gISEBCX8orurtra2fph9OBx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6AAAg\nAElEQVSczz67yU0BAAAAABARqzJtQ2LeM19WVqZ27drppptuUnV1df31UCikhISmlbdmjfTDD1JW\nljR4cFMrBQAAAAAgMlZk2v2JeZjv0KGD3njjDXXu3HmvxQHqeukb6z//MefTTpMSYz4GAQAAAADQ\nljQ10+5PzMN8naKiIuXl5dW/T0hIUDAYbFKbc+ea84gRTWoGAAAAAICoWJFp9ydu+qt37dqldu3a\n1b93Op1N+uLBoPTxx+b1Kac0tToAAAAAACL34Ycf2tp+3PTMFxcX79Ez73K5VFtbq0mTJsnhcDR4\nTJo0aZ/tLVsmlZRInTubAwAAAAAAqzU2szZV3IT5QCCwx5z5jIwMBQKBRrc3b545DxvWtLoAAAAA\nAIg3cRPmMzMzVVpaWv/+jjvuUFVVVaPbW7DAnE88samVAQAAAAAQXxzhcDgcywJ27NihsWPHasmS\nJSotLdXAgQP11ltvKSMjQ/369dPXX38ddZvhsNSunVRQIK1eLXXrZkPhAAAAAAA04PLLL9e8efO0\nceNGW9qP+QJ4brdbRx11lLp3765wOKzU1FQlJyertrZWPp+vUW2uW2eCfG6udPjhFhcMAAAAAMAB\nuN3uJk0dP5CYh/msrCzde++9e13/73//q507dzaqzfnzzXnIEMnGbf0AAAAAANinlJQU+f1+29qP\nmznzvzR37txGf/GFC835hBMsLAgAAAAAgAi12TBft5p9dXV11H9bF+YHD7a4KAAAAAAAItCUTBuJ\nuA3zWVlZksz+89EoL5dWrpRcLmnAADsqAwAAAABg/xqbaSMVt2E+IyNDklRWVhbV3y1dalazP/JI\n6Wfb1gMAAAAA0Gwam2kjFbdh3uv1StIee89H4quvzLlfP6srAgAAAAAgMo3NtJGK2zBfNyShpKQk\nqr/7/HNzPvZYqysCAAAAACAyjc20kYrbMJ+amipJUe81/8035kzPPAAAAAAgVhqbaSMVt2He4/FI\niu6Ll5VJ330nJSZKffrYVRkAAAAAAPvXmEwbjbgN8+np6ZKkioqKiP9myRIpFDK98snJdlUGAAAA\nAMD+NSbTRiNuw3xKSookye/3R/w3zJcHAAAAAMSDxmTaaMRtmE9LS5MU3TL+ixaZ83HH2VERAAAA\nAACRaUymjUbchnmXy6X09PSoVv6r65k//nibigIAAAAAIAKNybTRiNswL0l5eXnavn17RPdu326O\n9HSpSxebCwMAAAAA4ACiybTRiuswn5ubq127dkV077Jl5ty3r5QQ198KAAAAANAWRJNpoxXXsTct\nLS3ilf+WLzfnnj1tLAgAAAAAgAhFk2mjFddhvl27dhEPSVi82JxZyR4AAAAAEA+iybTRivswv3Pn\nzojureuZ79fPxoIAAAAAAIhQNJk2WnEd5jMzM1VRUaFgMLjf+wIBac0a87p792YoDAAAAACAA4g0\n0zZGXIf59PR0STrgHIMVK0yg797drGYPAAAAAECsRZppGyOuw3x2drYkqaCgYL/31e0vP2CA3RUB\nAAAAABCZSDNtY8R1mG/fvr0kaceOHfu9b+lScz7mGLsrAgAAAAAgMpFm2saI6zCfm5srSSosLNzv\nfStXmnOvXnZXBAAAAABAZCLNtI0R12He6/VKksrKyhq8JxyWli0zr3v3bo6qAAAAAAA4sEgybWPF\ndZjPyMiQJJWXlzd4z7p1UnGxlJsrdezYXJUBAAAAALB/kWTaxorrMF+38t/+fsX48ktzHjRIcjia\noyoAAAAAAA4skkzbWHEd5lNSUuR0Ovf7xetWsu/Xr5mKAgAAAAAgApFk2saK6zDvcDiUlpa23z35\nft4zDwAAAABAvIgk0zZWXId5SUpKSlJ1dfU+P6utlZYsMa/792/GogAAAAAAiMD+Mm1TxH2YT01N\nVWVl5T4/W7pU8vmkrl2ln7bvAwAAAAAgbuwv0zZF3Id5j8cjn8+3z88WLTLnwYObsSAAAAAAACK0\nv0zbFHEf5t1utwKBwD4/qwvzxx3XjAUBAAAAABCh/WXapoj7MO9yuVRTU7PPz+bPN+cTTmjGggAA\nAAAAiND+Mm1TxH2YT0xMVG1t7V7XN2+WNm6UvF6pd+8YFAYAAAAAwAE0lGmbKu7DfEJCgkKh0F7X\n580z5yFDpIS4/xYAAAAAgLaooUzb5HYtb9FiCQkJCofDe13/6CNzHj68mQsCAAAAACBCDWXaJrdr\neYsWczgce10Lh6UPPjCvTz65mQsCAAAAACBC+8q0Voj7ML+vXzDWrpU2bZJycqQ+fWJQFAAAAAAA\nEbCjV15qAWE+GAwq4ReT4ut65YcNY748AAAAACB+7SvTWiHuo3AwGJTT6dzj2vvvm/Npp8WgIAAA\nAAAAIrSvTGuFuA/ztbW1SkxMrH9fUyP997/m9a9+FaOiAAAAAACIwC8zrVXiPswHAgG53e7694sX\nS2VlUo//z957x0dVdP/j7012k23Z9BBIIAGkhaYgJbSA9N77BylKVSkigqg0kYjSi4ACYkAFUUAI\nNSglCb1JESF0CAnpu9ndZOv5/ZHfjHuzu0nwQeF5vvf9euWV5LY599wzp82ZmRpAZOTzo0uECBEi\nRIgQIUKECBEiRIgoDcVj2meFFz6Yt1gskMlk/P99+4p+d+78nAgSIUKECBEiRIgQIUKECBEiyoji\nMe2zwgsfzJtMJnh7e/P/9+8v+i0G8yJEiBAhQoQIESJEiBAh4kVH8Zj2WeGFD+YLCwshl8sBAA8f\nApcuASoV0KrVcyZMhAgRIkSIECFChAgRIkSIKAWOMe2zxAsfzBuNRiiVSgB/ldi3bQv8A7wQIUKE\nCBEiRIgQIUKECBEinikcY9pniRc+mNfr9VCr1QCAnTuLjvXs+RwJEiFChAgRIkSIECFChAgRIsoI\nx5j2WeKFDubNZjOsVivUajWsVuDIEcDDA+je/XlTJkKECBEiRIgQIUKECBEiRJQMx5j2WeOFDuZz\nc3MBAH5+fnj8GDCbgRYtgODg50yYCBEiRIgQIUKECBEiRIgQUQocY9pnjRc6mM/IyAAABAcH4/Ll\nomMDBz5HgkSIECFChAgRIkSIECFChIgywjGmfdZ4oYN5rVYLAPD398fVq4CnJzBgwHMmSoQIESJE\niBAhQoQIESJEiCgDHGPaZ40XOpgvLCwEAHh7e8NoBJo3B4KCnjNRIkSIECFChAgRIkSIECFCRBng\nGNM+a0iIiJ75U8uI7OxsnDp1Cv7+/oiOjoZEIhGcnzNnDv9bq52DChWAadP+XRodaXD8+/+V9kUa\nXhwannf7Ig0vRvsiDS8ODc+7fZGGF6N9kYYXh4bn3b5Iw4vRvkjDi9G+SMO/Q8NzC+bXr1+PadOm\nIS8vDwDQvHlz/PDDD6hYseJfxDkE96+/Tpg3D4iI+HfpdKThebDqebcv0vDi0PC82xdpeDHaF2l4\ncWh43u2LNLwY7Ys0vDg0PO/2RRpejPZFGl6M9kUa/h0ankuZ/aFDhzB69Gi89dZb0Ov1uHbtGgoK\nCjB69Gi39wQF/fuBvAgRIkSIECFChAgRIkSIEPEi4rmMzLdt2xYqlQq7d+/mxw4fPoz27dvj+vXr\nqFmzZhFxDlmMH38k9O//b1P6/LM5z7t9kYYXh4bn3b5Iw4vRvkjDi0PD825fpOHFaF+k4cWh4Xm3\nL9LwYrQv0vBitC/S8O/Q8K+PzBsMBiQmJmL48OGC4zExMQCAixcvuryvZct/nDQRIkSIECFChAgR\nIkSIECHivwL/ejD/4MEDWCwWvPTSS4LjMpkMfn5+SEtLc3lfaOi/QZ0IESJEiBAhQoQIESJEiBDx\n4kP6bzeoUCgAABaLxelcYWGh05L9z3Gx/WcCi8UCvV6PgoIC5Ofnw2AwwGg0Ijc3F1qtFjqdDrm5\nudDpdCgoKEBBQQHMZjMKCwuxbds2wbNat24NAPDw8IBMJoNcLodKpYK3tze8vLyg0Wig0WigVCqh\nUqng6+vLf/z8/KBSqfg5pVLptHvAfzuIiPPTYDBAr9dznhsMBhQUFECn0yEvL4+f0+v1MJvNsFqt\nsNlssNlsgr8Zjh49KmirS5cukEqlkEql8PLyglKphEKhgFqthlqthkajga+vL3x8fBAUFAQ/Pz/4\n+fkhODgYCoXif4L32dnZyM7Ohk6ng06ng1arRV5eHrKyspCXl4f8/HwYjUYuz0y2rVYr7HY7gL/6\nt4eHBzw9PeHh4cF5KpPJBD8KhQIrVqwQ0BAfHw9/f38EBARArVZDpVLBx8cHMpnsX+fH88LWrVuR\nmZnJdYtOp0N+fj4KCgpgtVpRWFgIk8kEm80Gu90OIhLoVUfeM1lmcsxkWaPRwN/fH4GBgVAqlWje\nvPlzfONnD4PBgLS0NGRnZ0Ov1yMnJwfZ2dnIz8/nsqvX62E0Gjk/t2/fLnhGmzZtOF8lEgmkUinX\nzUqlkusIpheYLvbz84Ovry/ncUBAAHx9ff8ndIQ72O125OfnIzMzk+uK3NxcZGZmIisri+tmnU4H\no9EIi8UCq9Uq0M2M18V1c+/evbm+YPyXy+UCmfb394e/vz/UajWXd6az/4ltg54HdDodsrOzkZmZ\niczMTOTk5CAvLw9arRaFhYVcjs1mM0wmE5dti8UCi8Ui4DFQpCeYfvb29oZCoeAyrFar4efnh+nT\npwtoOH/+PBQKBTQaDYKCgiCXy/9tNvwrMJlM3NeIKLa407fffgudTgeDwQCLxQKTycT5brFYuN9X\nWFgosI+O/Gf6xNPTU8B/Ly8v7vv5+vry7zFmzBgBDRkZGdBoNP9T/C8sLOS6gtk+vV7Pfbs33nhD\ncP3kyZNRUFDA5ZzJOuM380kYmE1kukQul3N9wnwNlUqFgIAA+Pn5cX/cz8+P6/cKFSr8myz512Cx\nWLgfzfhpNBqRnZ2NnJwcrrdNJhPmzp0ruLdnz54oLCzkfC8e4zn6gEyemf5WqVTw8vKCt7c3fHx8\nEBgYCB8fH6jVam5Dg4KCeJz5ooGI/jG7/q/PmTcajVCpVIiPj0fXrl358aysLAQHByMhIQHt2rUr\nIk4iwezZs52EwRHDhg3DmDFj4Ovri5CQEPj7+8PLy+uZ0evI+PT0dB60ZGVlIT09HTk5OcjPz0de\nXh6ePHmCJ0+eQK/XIysrC5mZmcjPzy9TO15eXlAoFFxBy+Vy3LhxQ9B+q1atQESw2+2wWCy8AzHj\noNPp+D6GZQFTREFBQdxRDwoKQoUKFbiCGjJkiBMPWMfy9PQsc1tlgdlsRl5eHrKzs6HVamE0GmEw\nGNC9e/diOxu8zpU2CyhZQqSs4qxUKrkS8PLy4oaSGUv2N2v32LFjAhoaNmzInUuz2cwVml6vh8lk\nKrFthUKBoKAgBAUFITg4mAf5zMlkcuzv7w+NRgO1Wo1q1ao98/k2RMRlJz8/H9nZ2cjIyMDjx495\nkM54nJGRgb1795ZZEXl6enJHmcm2XC7nvGaOIQNz0O12O+cpM7QWiwVmsxkFBQXIy8srEw2+vr4I\nDg7msu3n5weNRgOVSgWNRoPg4GBuCFgAxYyzWq0uMRnwn34Hm83GEyBGoxEFBQUwGAzQarU8iElP\nT0d6ejq0Wi20Wi0yMzORkZGBrKws6HS6Enng4+PDHTepVMqdEOacSCQS/ps5MYz3TJb1ej1PiDkm\ntRzf25GG4OBg+Pv7o1y5clx/OPLdz88PQUFB8PHxga+vLwIDA3ki0lEOnhaONDC+5ubm8sAwJyeH\n6xG9Xo8nT54gLS2NX5eRkcETISXB09MTPj4+Aqfu+vXrgvZbtGgBT09PrqNtNhvvX+wbs6RuaXKj\nUCg4TxkfmWwGBQUhMDAQvr6+GDVqlICGGzducKfnn9DRjjCZTMjOzkaFChUENPzwww88sZeXl8eT\nSwaDAenp6bh//z7S09NdyhWDTCbjAbZSqYRMJuPJU0fd7OHhgaNHjwrar1OnDg+SWNDEEjJlgVwu\nR2BgIIKDg6HRaBAQEIBy5coJ7CTT2X5+flAqlahcufI/Mh/SarVyHrIBAK1Wi9zcXGRlZfHfaWlp\niI+PL7N+lkgkguDE29sbSqUScrmcJ08d9QXTE0w/M5lmSS69Xg+r1VqqsxoQEIDg4GDud2g0GgQG\nBnJ5ZrwNCQnhOlkul3M7Upb3e5rvQEQoKCiAVqtFTk4OHwhgwV5ubi5ycnJ4Yik3NxfZ2dnIy8vj\neoYl/ByfWRKdEomE850Fikqlkh9j9pHxHwDnOxtsYPw3m80wm81lpkGlUiEoKIgP8pQrV47zuly5\ncqhYsSJCQkK4DWHf4O8EIKV9B6vVKtCJLNGUm5vrNOCSlZWF1NRUZGdn48mTJ1yvl4TiPNBoNJzX\nTPaZXmH+iEQi4fLObCLTJY7JLzZAVxqK09C+fXuevGW6vGLFirwv+Pv7w9fXFyqViicj/9Pgr/h3\nsNvtvO8WT4IYjUaeWGW+YFpaGrRaLf8eLNFdVhTnQb169bhv4sh3AAIdw3wR1h/1en2Z4xupVMpl\n2s/PD8ePHxfQsGzZMh78swEgFn8x+fi7ya85c+aUGLMyPOvQ+7ksgFe7dm106tQJixcv5se2bduG\nQYMGITc3F35+fgCApk2bolOnTmVijCOkUikPJBw7bfGgTSKRcOFmAsQCBybkWq0WZrO5VMar1WqE\nhIQgNDQUarUagYGBCA0N5c4sG7VlAUPx0Rh3owFPuy+hxWLhHYAZfsfRamZ8mXPLHAIWED958gS5\nubll4jMLzpgz4OgIsHPMmWSjgSxoY86Vo0IpLQgGipIe5cuXF4ywMKeKGShmgHx8fAQjYAqFggcT\nf8fJLeu3sFqtPOmj0+mQmZnJjRQbKWEBMstkslFAVxUrjmCZYpZ99PT05MGyTCZzUozM+FssFv79\nmQPAHLCSoFQqeYIhKCgIjx8/hkwmg1KpxIABA3iAxkYGWNCmVqv/kQwkEeGDDz5AQUEBLBYLRowY\nwZ0wZoxYsi0jI4OfYw4xu6Y0sNE6llzz9vbmztajR4/4u1WuXFmgQ5gDYLPZ+IgXcwyZzJfGcwbm\n4LJsMwsoAgICcObMGU7fe++9h5CQEKjV6v84OC4OIuIGnukI1l/j4uL433Xr1kVOTg4eP37MdUhu\nbm6JARuDUqnkzg3TG46y7BhQsAQP0yGpqal8FJEFEyVBrVYjLCyMJxgYT8uVK4fy5cvzpJpjgk2h\nUEAqdV3E9nf2jbXZbHyESK/Xc9lkwS/jY2ZmJpddR+c2JyfHaRSpJN4y3cdG9Fhih/24c6hsNptg\nJJHJMvttNptLbV8mk0Gj0cDHxwcqlQrBwcGIjIxEWFgYAgIC+I9j5UdwcPBTj46X5TvYbDaBs8oq\nAphNdAyYmY7W6XTIycnBkydPkJ2dXSrf2agScwQdAzXmezC/g/GXOa6Mp44JoNJ4LJPJEBAQgPLl\ny6NChQpIS0vjfahbt248eGaJTWYn/4nKJcbb2NhY7oj36dOHH2eJtKysLEFVV1kHPTw8PLgPxXy6\n4vLs4eGBhw8fch6Hh4cLgmDHkXDmA5XFBfb09ISvry9P/LJKO5YQZtU2jL7du3fz7/Dee+/xoIH5\nRP+EbXQMfrKysrBkyRJudzp06CCQa5Zsy8jIQEZGBnJzc0vkg6Ofp1Ao+Lswf48FZo4+9f3797lf\n7e/vz3nO5Ls0X4dBLpfD398f4eHhAllmvh/TLY4VZczvW7p0KWQyGSQSyTPf15vZRsZPptOZPmeV\noDt37oTRaITRaERgYCBPWjB9XhIkEolThZGjLpFKpYLkG/DXwAjz8x4/fswHnljyqqxgg3v+/v7c\np/b390doaCgCAwMFcRbzFZlPyPRecd7/J9/B1QAU4yPzudn3yMrK4lWiWq0Wd+7cKZNOdQR7L5Z0\nY362o4/C+M6qDNq1a1dizOrr64vJkyf/b+wz/8knn2DZsmVISkpCrVq1cO/ePXTs2BHly5d3Kpkr\nLcsxYsQIDBkyhI/EMKeneEkkC9KZYnc0ysxhZB3Dy8uLKwdvb29BqSkLXJgDGBwcDJVK5dbZ+2+E\nyWTiDmRWVhYvy2Odhv3NFLNj0MJK9JhjwvjMjFfxMjFmGJRKJXew2WgUU86OJZHPsuriRQRTUCwI\nZQEoc0CZkWCBOXMEWXBbXK4dFT5z6plhZnLNZDwgIAAhISGoUKHC/6RcM1gsFu5MsuCI6Q3m4LH/\nmfJ3LI0sXn4K/KVDmEPp6ekpMMDsh43sOpZFskoXFtCq1WoEBwf/15dEMmfHYDAgNzcX6enpyM/P\n56NgTIYdqxKY3mCyzJKARMR1NHNk5HK5wGlQqVRcV7DAkE0LYI7I/0IJtd1u54laxjdWJs30heOo\nFpNjNqLHplw4VsO4soeenp6CgIklbNlvVubIAlemTxwTqyqV6jly6tmCiHhSNicnhzuKjO+5ubm8\nGoDZQ+bgm0wm7nsAf/GYBUJMTzgmDtkAAEvoMdvoGFT+U0nTfxusAoHxNiMjA3l5eVxHsGDI0e9w\nTDQ5yjIRcd6waY5Wq5XzmelgphPY4IpjhRaTcRawP4sR0hcZdrsdGRkZePToETIyMrhOZklyx0ST\no0wzf89x6hwb3XackuGYBGByXnyQhVUiMv1dliq5/3YYjUY8evSI+3YsmciS5Kxyz7HCyFGXsASV\no+/HdLdjAsZRn7AENfsejM/MD2ffIjAw8H/S37ZarYKBTubzMV6zuJEl2F1NFXX0UYrLfatWrUqM\nWfv3748ff/zxmb/XcwnmDQYDunXrhuTkZDRo0AB//PEH1Go1EhISULt27X+bHBEiRIgQIUKECBEi\nRIgQIeK/Cs8lmAeKstzbtm3DhQsXEBERgZEjR0KpVD4PUkSIECFCxDOG2WzGo0ePYDabebnv//Lo\nlggRzxtspE8ikfDpZ/+vgYh4OblSqURoaOj/REWOCBEi/rvxT+rn5xbMu0JSUhLGjx+P8PBwTJo0\nCZ06dXJ5XW5uLu7cucPnif1dpKam4rvvvkN2djbCwsLQuXNnVKtWTXDNtGnTMHr0aFSvXh1AkaH4\n+uuv0aZNG6drMzIycPjwYXh4eCAlJQUfffRRmZ3Xhw8f8pJQhoSEBCQmJiI8PBxKpZKXknl5efHS\nu4YNG2LatGkYNWoUGjVqVGo7RIRffvkFT548gd1uh1KpRGBgICIiIlCrVi2YTCYMHjwY06dPd7li\n9b1797B8+XIsWbIEEokEx48fx+zZszF27Fj079//qeaiz507Fw0aNED37t3LfM+NGzdQo0YNt+dN\nJhP27t2LgoIC3Lx5E5MnT4a/v7/b6/fv3w+LxYIePXrwY/fu3cPSpUuxePFiXmZ++fJlnDlzBmaz\nmfO/YsWKqFmzptsO+fjxY1566g4zZszA9u3bkZ+fj5o1a+K9994T0OKI/Px8xMXF4cGDB/D390f7\n9u3RoEEDtzJWln5CROjWrRvOnj0LqVSKxo0bY+7cuahfv77TtdnZ2YiLi0NaWhrKlSuHjh07onbt\n2oJFAlesWAF/f39Uq1YN/fr1Q9WqVd2+u+NzBwwYgLZt22LChAlPpeDy8/ORn58veL+MjAy8/fbb\n+Oabb/52me+FCxdw+fJlFBYWomLFiujatSuWLl0KAJgyZYrT9ffv38eHH36ILVu24Nq1azh58iQs\nFgtkMhl8fX0RHh6OmjVrliiLDHa7HQcPHkRmZiZSU1MxcOBAVKlSBQMHDsTkyZMRHR3tdM/OnTtx\n69YtTJs2zeUz2Xzf4ODgp+ID02kSiQS3b9/Ghx9+iI0bN8JsNmP8+PEu7+nVqxdu376NGzduCOZF\nRkZGYs+ePahTp85T0eCIvLw83L59G6GhoQgLCyvx2gcPHvDdI8oCIsLChQsBAKGhoZBKpbx8lJXi\nBgUFoWHDhoJ7du/ejTNnzsDDwwNNmjRB27ZteZsmkwnjx4+H2WxG+fLlERMTgy5dupS6rkFGRgY6\nd+6M+/fvw8fHB23btsW8efO4nH/77bdISUnB/Pnzne7Nzc3FmDFjsGXLFjx69AhHjx6F2Wzmc7nD\nwsJQo0aNMsuCwWDA5s2bcffuXfj5+aFt27Z49dVX+Ttcv34dH3/8MXx8fFC5cmX07NnTSX989913\nyMjIcNl3ygKj0YibN29CrVajSpUqJfIvJycHVqsVISEhbq+5desWTpw4ASKCxWLBm2++CaDIvmzZ\nsgVz584VtGEwGHD8+HF07txZ8Jzr16/jp59+wscff+yynbt37yIsLKzEctXMzEzcv38flSpVcqJ5\n8uTJ0Gq1eP/991GrVi2X95vNZrzyyisgIvz555+CKUANGjTAkSNHcOLECWzatAmbNm1yOX1nw4YN\nCAkJcbLFBQUF+O233wSLFTPo9XrEx8dj0KBBePz4MVauXMnn0hIRrFYrJBIJn1L00ksvOa30DgBp\naWl83QxXePLkCQYPHoxOnTph3Lhxbu1pQkICJkyYwOfnM8jlckycOBELFy7EypUrkZ+fj/Lly0Mm\nk/H+rVQqeal948aNS/Xb9uzZg23btmHjxo0uv+26desQERGBDh06YN68eRg7dizKly8vuCY7Oxsr\nVqzAxx9//FTT2Xbv3g2ZTCaQxZSUFKxZswaLFi3icnvx4kWcO3cOFosF3t7eAp/F19cXX3/9Nex2\nO8aOHVvmts+ePYvLly8LVorX6XSYOXMm5s2bh4CAAABFcv/bb79xvePj48P1TkhICL777jscO3YM\na9ascekzLl68GE2aNEGLFi34sc8++ww+Pj546623nK5PSUnBp59+ik2bNgmOExH27NmD06dPQyKR\ncP3s6Gfv27cPbdq0cWkntm/fjg4dOnDZJCJ06dIF58+fh0wmQ+PGjTFv3jzUrVsXAHDy5EksXbrU\nZRm13W7HyJEjMWfOHFSuXFlw7tq1a9i5cyfy8/NRrVo1dO3a1UleXMFms2HIkCEYNmwYunXr5nQ+\nKysLs2bNwrJly5zkNDMzE5s3b0Z6ejpCQ0PRqVMn1KpVq8wxi9VqxbBhwxAbGz176VMAACAASURB\nVIvIyMgy3WMymfD48WPB+xcUFGD48OFYvnx5md7ZERs2bMDixYuRmZmJihUrYvTo0RgzZoxAplav\nXo1q1aqhQ4cO/Ni+ffugVCrRqlUrDB06FIMGDULPnj2dnp+Tk4OPPvoIS5cudUoInj9/HhcvXuS2\nAyjyRz/44APMmTMHQUFBAIqmdTL9fP36dYF+fuWVV3DkyBEuXzdv3kR8fDzeffddfo3FYsH777+P\nSZMmlcxnegGQlZVFbdq0oRo1atCMGTOoSZMmBIAuXbokuC4lJYV69uxJAPhPy5YtyWq1PlV7NpuN\nZs2aRQqFglQqFVWqVIlkMhkBoDFjxpDdbiciIrvdTgBo8+bN/N5ly5YRADp06JDgmRs3biR/f38B\nbZmZmWWi58GDBxQUFETz588XHF+0aBH5+fkJnln857PPPiOFQkFr1qwpU1vZ2dnk5eXl8lkfffQR\n3bx5kwBQ+fLlKTs72+n+AwcOEAC6efMmERHNmDGD31+5cmVavXo1GY3GMtFSp04dmjZtWpmuJSJa\nvnw5eXp6UlpamsvziYmJVL16dcE7/fLLL26fZ7FYKDg4mCpVqsS/ORHRlClTCADt3r2bH+vVq5dL\nnkVGRrp8dkZGBoWHh5f6fjVq1KC2bdvSp59+Sh07diQAtGLFCqfrNm3aRCEhIeTl5UURERGkUCgI\nALVu3Zr0er3g2ps3b1KPHj2c+onNZnN6rk6n499+9erV9Nprr5GXlxedOnWKX2O322np0qXk6+tL\ncrmcIiIiyNvbmwBQ7969yWw2ExHR2LFjSaVSUd26dUkmk5FUKqW5c+cKeOsKR44c4XT6+PjQe++9\nR48ePSrxHiIis9lMzZo1o44dOwqOJyYmEgC6c+dOqc8oDq1WSyNHjhTwjj2/d+/e9H//938u71u5\nciVVrFiRiIgGDRrkUlbKly9favt//PEH13/sZ/HixUREpFKpKC4uzuV93bt3pzfeeMPlOYPBQHXq\n1KHBgweX2r4jNmzY4KR/srOzqU+fPtSzZ0+399WrV49q1apFS5cupX379tGvv/5KcXFxZf6urnD7\n9m3q06ePgJbo6Ggue8Vx9+5dCgwMpIULF5a5DZvNRi1atOC2wN0Pe4fff/+df6vw8HAKCAggABQS\nEkLnzp3j1wCgqKgoCg4OJgDUrFkzun//fom0sD6xfv16WrRoEUVFRVFoaChlZGQQEdG4ceOoffv2\nLu/98ccfSS6Xk9VqpUmTJrl8B29vbzKZTKXy5Pvvv6fQ0FCSyWQUERFBSqWS816r1RIR0cKFC0kq\nldIrr7zC9dL48ePJYrHw5wwbNozatm1b+kcohtzcXHrnnXcE3yQyMpLu3r3r8nqj0Uj16tWjAQMG\nuDxvtVrp448/FjwvPDycnz906BABoCNHjgjue+uttwgAPX78WHC8b9++VK1aNZdtXbt2jXx8fGjd\nunUuz1+6dIlee+01wXfp3bu34BpHn6J79+6UnJzs9ByLxUIeHh7UunVrWrt2LR06dIgOHTpE69at\no+nTp1NhYSG99957BIDeeecdl7T06dOHWrdu7XR8586dJJPJXOrwH374gQCQyWSiCxcuUGRkZIn9\nplGjRk7PyMrKokqVKtHkyZNd0kVEtH//fv4MX19fmj59uksfYPPmzQSAJk+eTD/88AMdOXKEdu/e\nTQsWLKBvv/2WiIi6devGbZe7n8uXL7ulheGdd94hAG7te9euXaljx45kMpmofPny1L17dycevvvu\nu+Tj41Nmf4mIqLCwkPz8/KhGjRqC4+PGjSMAlJCQwI916tTJ5fvVqlWLiIh69uxJffr0KXPbRERN\nmzYlmUxGOp2OH/vyyy8FdoqIaNq0aS7blslkZDAYaOjQoQSAYmNjXbYTHR3tZK86d+5Mb775psvr\nv/jiC3rppZcEx65evUrR0dG8jwcGBhIACgoKotOnTxNRkW8jl8vp559/dnom61eO/n9eXh4BoFmz\nZtGqVauoTZs25O3tTWfOnCEiorVr11JQUJBLGlNSUggAXbt2jR/T6/X05ptvkoeHB/n5+VFYWBh5\neHiQRCKhRYsWuXyOI5j/5uPjQ/fu3XM6f+nSJQJAx48f58fsdjt98cUX5OPjQwqFQuDPDRw4sMzx\nVEZGBgGg/fv3l+l6u91OvXr1ojp16giO37lzhwBQYmJimZ7jiIEDB1KtWrUoNjaWhg4dSh4eHjRy\n5EjBNQ0bNqRJkybx/3/99VeSSqW0YMECMhqNBIDUajXdvn3b6flXr14lAPTbb785nWvevDlJpVLK\ny8vjx9atW0cA6PPPP+fHLBYLeXp6UkxMjFv9zNC/f38CQCkpKfzYnj17uF4rCc89mLdarVS/fn2q\nXr065ebmElHRR7948aJAqFJTUykgIIDat29PycnJlJ6eTmfOnCmzIDlixowZJJFI6IMPPuCBUGFh\nIc2bN4+AvwJ1i8VCAGjHjh1ERLRr1y6SSCQ0YcIEwfPWrl1LAGj06NGUnZ1N+/btI09PT+54lQS7\n3U7t27fnxtoVzGYzF6qDBw+SwWCg1NRU+vPPP6mwsJC8vLzoq6++KvP7m0wmMplM1LlzZ+rVqxdd\nv36dDh8+TBkZGZSdnc0V74ABA5wMkFarJQD05ZdfEhHRhx9+SFWqVKFjx45Rly5dCABVqVKFfv/9\n91LpqFWrFs2YMaNMNF+7do0rnPj4eKfzp06dIoVCQS1btqSbN2/SvXv3SKPR0J49e9w+89y5c/xd\nHz58yI83btyYANDs2bP5MavVSgUFBbRlyxYeKCYmJtKFCxecnmu326lfv34EgFq1alXie1WqVIk+\n/fRT/v/UqVNJo9EIDDxzmgYPHsydSZvNRtu2bSMPDw+B4njafpKbm0sAePBht9upb9++1KlTJ34N\nS2CNHz+eJ3gsFgutWbOGAPAAc/r06VSzZk0iKjIyc+bMIQ8PDy4r7nD8+HHe795++22Sy+WkUCho\ny5YtJd7H+qufn59ATo8ePUoASg2YisNsNlPr1q1Jo9HQ5s2bqaCggF5//XXq3LkzERG1a9fOqe87\n0sIcLCYr27dvJwD0559/UlJSkktZccSdO3coJCSEoqKi6MyZM5Sbm0tVqlShpUuXktVqJQC0a9cu\nl/e2aNHCraM+efJk3i/LCuagjRkzhrKzsyk+Pp48PT0pMzOzVCewdevWNHz48DK3VRrS09MpKCiI\n2rRpQ4mJiZSenk5nz56lvXv3urzeZrNRmzZtCMBTO6tERX3AaDTSRx99ROXLlyez2Ux5eXl09+5d\nHkQ+ePCAQkJCqHbt2gIn5Nq1a1SjRg1q2rQpERHdu3ePOwN2u50OHz5ML730EjVs2JAKCgrc0nD4\n8GECwOXaYDBQrVq16MMPPyQioqFDh1Lfvn1d3rtu3Try9fXlvDAajbyPJScn08mTJwXJOnfYuXMn\nAaC+ffty/Wi323mAN2fOHCIqsn/e3t5kt9upsLCQVq9eTQqFQhDoDBkyhDp06FBqm46wWCzUuHFj\nql69Ou3evZseP35MV69epV27dpHBYHB5z9SpUwkARUREuDw/btw4kkqlFBsbSwaDgWJjY6lSpUr8\nvNlsJn9/f3r77bf5sZycHJ4Ad7QnFouF1Go150Nx2l999VUCQKNGjXI6f/36dVIoFNS3b186e/Ys\npaen04kTJ5ycxqCgIJo1axatWLGCIiIi+POKy46fnx8tXbrU5TsTEcXGxnJbV3wggqho4IAFWo5Y\nv349AXCZCN60aRMBENgqq9VKer2e6tevT2PHjqXCwkLKzMyklJQUevLkidMzBg8ezJND7uCYYBk3\nbhx5e3uTSqWiH3/8UXDdvn37CIDLdhzB+vfSpUtJJpOR2WwmrVZL9+7d44MUpWHOnDkEgCQSCR07\ndszp/Pz580mhUJDJZKIdO3YQAIE9y8jIILlc7lJ2SkJSUhL/jllZWfx43bp1CSga3GFgdujrr78m\nT09Pun//PiUmJtKVK1eIqCix0b9//zK3nZubSxKJxCm4YYH5kCFD+DHG41OnTvFvd/LkSTpx4gQR\nEU2cOJEH9xcvXnRq691336Xg4GCBXW/RogW9++67LmmbOXMm1atXj/+fmppKoaGhVLNmTTp69Cg/\n/scff1BUVBQ1bNiQiIjy8/MJAH3//fdOzywsLCQAtHHjRn6M+cfMlttsNurVqxd17dqViIqSCu7s\n7JkzZwgAtyF2u5169OhBSqWSVqxYwZOfeXl5fEDhwYMHLp/FYLfbuW5q3bq1Uz+1Wq2kVqtp1qxZ\n/Njnn39OAGjixIk85rJYLLR8+XICQFu3bi2xTYa0tDS3+sQVNmzYwPuMYzKIJTmYbDwNevToIZBh\nltC7evUqP1a/fn2aOXMmERV9f19fX2rRogUPolkCukWLFk6JDJvNRn5+fvx+Bq1WSx4eHk4JtNdf\nf50nRRwREBAgSHa5AmsLAE8+Ev01YNqyZcsS73/uwfz69evJw8ODzp49W+J1kyZNIh8fH0EW4+/g\n999/J4lEIgigGOx2O9WsWZNGjx5NRMSzNgkJCZScnEwKhYI6dOggGA26cuUKeXl5OTnSjoq2JDBj\n2bZtW8EIQXHk5OQIEguO8PT0pA0bNpSpPUc0bdqUvyuDzWbjDoNMJhMIFYOPjw8X7tmzZwucoZMn\nT1LdunVJqVSW2jmrV6/OndOSYLPZqGnTplSvXj0KDg6mTz75RHBep9NR5cqVqVmzZgInJysrq8RR\nYZaEAf4ahc/JySFPT08ePBfHqlWrSKlUlkjvTz/9RACoXbt2pNFoXDpCDEFBQbR8+XL+/+7duwUO\niVarpYCAAOrfv7/Ldxk0aBC9+uqr/P+n7SdMIf/555/82Keffsqzp48ePSK5XC5wbh3RunVr6tat\nGxERzZ07l8LCwgTnlyxZQjKZzO1IGhHRiRMnCABdv36dtzlw4ECnDKcjrl69SlKplNq1aycwkERF\nmVcATz0KPGvWLJJKpYLgzGw284RfkyZNaPr06S7vnT17ttMIHXOiSqtMICoyus2aNaPKlSsLdIdW\nqyWr1cqTaL/++qvL+6Ojo11+o+TkZJJIJJxPjllkd/j9999JJpMJstlExO8tzQmMjo520iv/CaZN\nm0ZyudxtAFcca9asIYlEQq+99hpVrlz5b7e7fPlyUqlULs8NGDCAQkNDXQYO27Zt445YZmamQL8Q\n/ZVw+/jjj922HR8f79R2nz59aMSIEURU5MSwv4vjyy+/JI1GIzjGsvtlrRYzGo1Urlw56tatm0v9\nNXLkSKpduzYREcXFxREAgV1kiYCkpCQiKhpBYUmxsoLxkSUaS8OpU6cEsl68sow9z9FW2u12ysnJ\ncXq3yMhI3m+//fZbAkAqlUoQMDM942okNzY2lqRSKcXExNArr7zidH7QoEEUERFRom0gIipfvjyv\n2DOZTLRkyRLy9vammJgYgY5XKBS0evVqt89hiddx48ZRWFiY00DD1q1bCYDT6B6zka7oZOdcVXi0\nadOGhg4dWuK77dq1i9tJpVLpdkSQVak4JtJYlY5jFRuTubLoOCKi7777jgCUmFRzh2XLlpGXlxeN\nHDmSIiIinGSIJTpYBUHfvn2pXLlyPIhZuHAheXt7l9lPdGyX+SwsiEhPT+fHio9KEhUFmAEBAU7H\nO3fuTIMGDSpz27/99htvhwUmdrudQkNDCYDAD2E4ePCgS1s8a9YsKleuHPXq1YuioqKcqguXLFni\nJFv169cXDLA4Yvr06VS3bl3+/9ChQyk4ONhlBQeTk9u3b/ORdlfBPDvn6AM/evSIAAiSPvPmzaP6\n9evz93r55Zdd0njy5Ek+EEREPNnvyqc3GAwkl8tpyZIlLp/liODgYBoyZAj5+Pi4rESrXr06Tyje\nvXuXvLy8aOrUqS6fFR0d7TZJXByMF+58EkekpqaSRqPhupnZBSKiP//8kwDwaomnQfv27QV28MGD\nBwSADhw4wI9FRUVRbGwsPXr0iCpVqkRVq1YV6L/y5cvT4MGDSaPROFVHs/tff/11wbFjx47xvsB8\nVLvdTmFhYQTASeerVCpatWpVie/CkhrFR+EbNWpEQFHFX0l4dhsS/02sXLkSvXr1wquvvlridb6+\nvsjPz8dnn32Go0eP4t69e2XaH7Q4Nm/ejNDQUJdzSyUSCWrVqoXbt28DAN+P8ObNm+jWrRtefvll\n7NixQ7BVxvz581GlShV88cUXgmcFBgaWSkt2djamT5+OUaNGYeLEiXj06JFgrpcj2N7oxfeAp/9/\nv9q/s4VYfn6+05xitldoixYtsGzZMowfPx7Xrl0TXBMUFMT36pZKpYK9pJs2bYqTJ0+iSpUqGDFi\nRIn78rLtYkrDhg0bcPr0aaxbtw6NGzfG2bNnBee/+eYbvv6B43zAwMDAEuf/XLp0CVWqVIGfnx/O\nnz8PoGjenc1mQ/fu3fHnn3863ZOfn1/iQo16vR6TJk1C37598fHHH0On0yElJcXt9fn5+fDx8QEA\nFBYWYtWqVXj55Zf5fNY9e/YgJycHixcvdvkuUVFRXF4BQKPRPFU/0el0AMBpyMrKwqZNm/gcyW3b\ntkEikWDBggUu73dsX6fTOc177N69OywWC27evOmWBiYDTI7CwsLwww8/YPz48Zg+fboT/4gIEyZM\nQPXq1bFlyxYAwLlz5/h59pynWb9Bq9Vi0aJFmDlzpmCeHtvSjz3X1VxdIoJOp+M8ZGCyUpY5aAcP\nHsSJEyewefNmge7QaDTw9PTk7+SqfZvNBr1e79S+1WrF+PHj0bRpU3z55ZcAwOW8JMyfPx/VqlXD\n559/LjjOvq3NZiuRtzqdDnK5HPfv38epU6ewa9curF27FocOHSq1bVfw9fVFYWEhYmNjcfToUdy9\ne9etTGdkZOCDDz7AmDFj8NZbb+Hu3bvIzs7+W+0GBQXBYDA47Uubl5eHnTt3YubMmS7nZUdFRQEA\nbt++zfuXY7+oUKECGjZsiCtXrrhtu7g8Xb58GYcOHUKXLl0AFM2/fFpZBFDmRWYPHDiAJ0+eYMmS\nJS7bKd7v2T72DJ06dYJUKsXVq1cB4G/ZKDY3eunSpTh48CCuX78usDWOsNlsmDBhAho1aoR169YB\nEOoEIsKsWbPQp08fjBo1ih+XSCRO61j06tUL9+7dw7179wAUrUdRpUoVtGzZErdu3eLXffvtt2jc\nuDGfL8tw//59zJs3D1OnTsXrr7+Oq1evorCw0Ond0tLSsGTJEiQmJuLRo0cu38vRvnp5eWHKlCnY\ns2cPX58EAN87XSqV4tatW0hKSsL27duxatUqXLx4EQD4FnjLli1DWFgYhg0bJrDNbH4ns+sMJa1N\noNPp+PZ6xREUFOTkqzjCYDBg4sSJ6NGjB+bOnQuj0ejS3jIeAH/p9YoVK+Knn37CyJEjMWXKFNy/\nf5/TAxTNy7169SoSEhIQFxeHVatWudzPm71zSXS6A9vudfXq1QgICMDw4cMFOqk4P5csWYKcnBys\nXbsWdrsd69atw4ABA8rkJzri0qVLqFmzJlQqFdflBw4cAAB069bNrc/iau2Y0vS4q7alUinq1q3L\n27506RLS09O5v1RcLzO+F2+fbRO4adMmmM1mTJgwoUT+ASXrPEc/Kj8/Hz/99BNmzJiB0NBQp+vZ\n2hO3b98uUb61Wi0ACObSF/eXMjMz8e2333J/yR2Nru7dtGkTWrVqhd69eztdq1QqERkZKfDt3EEm\nk6F27dr45ptv8OGHHyIxMVFw3tFf/+GHH+Dl5eV267SoqCiBjisJT+NnTZ06FSqVCj/++CNUKpVA\nN1utVgD42zEM46fdbseSJUug0WjQpEkTfo3ZbIZer0f79u1htVpx+PBhwXoxMpkMNWvWRFxcHGbP\nnu20Pboj/xguXboET09P1K9fn/eFK1euIDU1lfcFpl9tNhsMBoNL/XzhwgXBMwHg1Vdf5c/MyMjA\n2bNn0b17d2RkZJSoq55rMJ+SkoLff/8dgwcPBgD88ccf2Lx5M95//328/vrrGDp0KFJTUwEA77//\nPsaPH481a9agTZs2qFy5MsLDw7F169ananPnzp3o1auX270rrVYrX+jAZDIBAN555x1Uq1YN+/fv\nFyilJ0+eYMeOHZgyZcrfWi111qxZkEgk+Pzzz/mCEKdPn3Z5rYeHBwICApCTkyM4zmgs6yJPxe91\nxQdm+MePH4/evXujT58+gnYVCgUXVMdAg0GlUmH9+vW4efMm9u7d67b9goKCUunOy8vjznmjRo3w\n0ksv4fTp01zxExHWrl2LQYMGlXkRDoakpCQ0adIEjRs35p0nPj4eL7/8Mnr16iXokAyFhYUl7nsa\nGxsLrVaLZcuWcXrcfVO2Z+g333yDESNGoHr16jh27BhfXBAoktfo6GhUrFjR5TMsFosggfH+++9j\n3LhxZe4neXl5AIBPPvkEI0eO5As9Tp06FQCwY8cOdOrUySk4cNV+eno6X6CLiHD27Fm8/vrrCAwM\nLDFZx4yBoxxJJBIsXLgQ4eHhWL58ueD6bdu24fjx41i7di1UKhXCwsIEPC4oKADwdH0iLi4Odrsd\nEydOdHuNXC5Hamoqtm/fjg8//BDdunVD1apV4eXlhaVLl3IHhMFd/3KFNWvWoHnz5i4XnQTA9cuV\nK1ewceNGTJw4Ea1bt0ZoaChkMhmuXLni5Bh+9dVXuHbtGtauXYuQkBCo1Wq3ssiQlpaGnTt3YsqU\nKW4X7Sqt3z569AgrV65EZGQkoqOj0bt3b4wfPx5r164tsW13mDJlCt5++22sX78ebdq0QZUqVVCh\nQgWeyHHERx99BC8vL8TGxnKdeubMmb/VLuNncQO6b98+WCwW9O3b1+V9zDmRy+VIS0sDAN4vMjIy\nMG/ePCQkJLhd4BUo6pd6vR7vvvsuBgwYgEaNGqFZs2bo06cPgCJ5ePLkCXbt2oXZs2ejV69eqFGj\nBuRyOWbMmOEkCyyYLKs87ty5E/Xr13da5JWBLaoF/NXvmc66fv06Bg4cCE9PT8TExAAom64vjo4d\nO2LhwoU4efIkOnfujKioKPj5+WH27NlONmfDhg24dOkS1q5di6CgIPj6+gpk/ejRo7hx4wamT59e\nartt27aFl5cXjh8/Dr1ejwMHDqBnz56IioriiW0WMLhaBHLatGkoV64cZs2ahcqVK8NisfCgmmHB\nggUYOHAgPvvsM7Rq1QoVK1ZE1apVsX//fsF1ruxr+/bt8cYbb2D58uWwWq3cRxo7diyqVauGli1b\nYsCAAZg0aRJ++eUXAEWOMtvze/v27Th37hw++ugj/kz2bYrbO+Zgu0qe6XQ6lC9f3mWyMjAw0MlX\nccTnn3+O7OxsrFy5ki+K5043ubMPS5YsQXBwMFauXAkAPCFSrlw51K1bFx06dMDw4cPxwQcfuAyK\nWB8piU53YD6SQqHATz/9hMTERHzyySf8fHF+VqpUCW+++SY+++wzbN68GXfu3HmqhecYkpKSEB0d\njYYNG3KfZe/evYiOjkanTp2cFtgC3Nuhp+2TSUlJqF+/Plq1aiXwl/z8/DBp0iTo9XqnpBTzT4u3\nz/jn6+uLn3/+Gdu3b8fq1av5eVfy6O3tjQcPHuDHH3/EzJkz0bVrV1SpUgUymQxffvkl/54HDhyA\nyWRCv379XL6Ho34uTb4BCBbXZf7SvHnzuL8klUr5wp7e3t7Iz8/HwYMHsXDhQgwaNAj16tWDSqVC\nx44defIwPz8fhw4dQv/+/d3yu7hv5w4ymQwymQx9+/bF5MmTMWDAADx8+JCfd/TXd+7cia5du7pd\nGNhqtZapTaDsftbx48exdetWLFu2DHK5HDVq1PiP/TWGvLw8/Prrr3jzzTdRv359LFu2DAsWLBAs\nomwymRAbG4u8vDz89ttvTnEC41/Pnj0xbdo0DBw4kCdyGV3F9WJSUhLq1q2LmJgYQV/QaDSYMmUK\nCgoK8ODBAwDg+nncuHEC/Txx4kTs2rVL8Mxy5cqhX79+uHjxImw2G/bv3w9PT0++wOr169fd8uK5\nBvMsa9+pUycMGzYMtWvXxsiRI/HTTz8hPj4ev/zyC+94KpUKX375JdLT06HX63HixAm8+uqrGDJk\nCE6ePFmm9mw2G+7cuYNXXnnF7fnk5GQeeLARGbvdjpiYGKdVVPfu3QsiwtChQ5/63Y8fP45169ZB\nLpfj5ZdfRr169QC4N2gAEBAQ4ORYsozR31m1WyKRuFRibHReIpFg3bp18PLyQu/evbli9vLy4tlH\ndyMuTZo0QWRkZInfxmg0lki3xWLBtGnTkJ2djZMnT0Kj0WD58uV48uQJ7yg3b97E9evXMXLkyKd6\n97S0NFy9ehUxMTFo0qQJkpKSYDAY8Msvv6B///6oXbs2CgoKnDLdHh4ebkcFz58/jyVLlkCtVqNF\nixalOinMMKSlpeHMmTPIzMyE2WxGXFwcz2jfunULL7/8stv3SEpKEgTKarUaa9asKXM/0Wq1kEgk\nuHbtGtLT0zF79mycP3+eZy6fpv3MzEycOHECERERUKvVaNy4MTIzM7Fv3z6+yq0rMCetuBz5+Pig\nS5cuArofPXqEGTNmQK1WY+zYsdBoNEhNTRXw+O/0iZ07d6JHjx4ljpR4enoiLi4OgwcPxp49exAQ\nEIDRo0fj22+/RXR0tNM7uutfxWEymbBv374SZZjxZuLEiZg4cSIuXLiAqKgozJw5E9u2bYNcLhe0\nf+vWLcyePRsajQb9+vWDn58f9Hp9qcH83r174eHhgSFDhri9prR+a7VaMXz4cOzbtw/nz5/Ho0eP\nYDKZsGPHjhLbdgelUomVK1ciLS0NBoMBp06dQrNmzTBs2DAcO3aMX3fkyBFs2LAB3t7eqFu3Lho0\naACgZJ1aEhg/i+vcW7duITQ01O0OEYmJifDy8kKdOnWQmZkJoChADAoKQmhoKObPn4/Zs2djzJgx\nbtvWarWQSqU4ffo0bDYbNmzYgL179/LAxtPTE3v37kWfPn2wfft2KJVKTypolQAAIABJREFUDBs2\nDBs2bECnTp2cZJHp67JWs6WkpLi1k4Bzv3/w4AEiIyOh0WgQFRWF06dPY8eOHahZsyaA0mXGFSQS\nCd5//33cvn0bhYWFuHbtGsaOHYt58+bxUWkAuHPnDj7++GNoNBoMGjQIvr6+0Gq1gu++c+dOREVF\noXHjxqW2q1Kp0KxZM5w6dQrx8fEoLCzEiBEjULduXVy8eBF2ux3bt2+Ht7c3Bg4cKLj3l19+wfbt\n2wEAVatWxWuvvQbAWQYDAwMRFxeHrKwsaLVaHDlyBJUqVUKvXr1w48YNfp07+zpgwACkpqYiNTWV\n+0hz5szBoUOH8PvvvyM9PR1msxlz5swB8JdNB4oCy++//x4LFy7Ehg0bAPwVbBUfVWQ+j6uA9+LF\ni05VCQz+/v5uR5EuXbqEL774Amq1GjExMQgPD3fJI0ceAM72wc/PDx07duT2wWq1IjAwENu3b8fx\n48dx48YN5OXlQafTubRhrCLj74zMO/KzSpUq2Lx5M+bMmcMTjCwR6sjPuXPnQiaTYeTIkXjllVfQ\nrFmzp2rz7t27uHXrFvdZjh8/jvz8fMTHx6N///6oU6cO8vLyBIEI4N4OPU2ftFqt+O233xATE4Om\nTZvixo0bSE9Px7Zt29CrVy+uax1HGlnbgLPeceRfvXr18NVXX2HSpEmIj48H4Jp/np6e2LBhA4YO\nHYp9+/YhKCgIY8eORVxcHBo2bMh13q1btxAYGIhKlSq5fJfExERIpVLUq1cPcrkcnp6eLqu3WALO\ncfcVVo1y9epVpKenY+7cuTh79ixP5Ht6eiIlJQWdOnXCmjVrYDKZ0KNHD6xatQrjx4/nFbYPHz6E\nxWJx61s9fvwYt2/fLrViGQD31YGiwaTq1aujS5cuvLLA0V+/deuWW71OREhMTCxTm0DZ/KysrCxM\nnjwZMpkMCxYsgI+PDy5cuPAf+2sMeXl50Gq1OHXqFI8Jdu7cyf8GiuI4u92OevXqOe0iAECQjPzk\nk09Qu3ZtdO3alfvnjvwDivTRr7/+yvvCrVu3kJqaim3btqFnz55OfYHp59mzZwv0s8Viwbx58/hz\nExIS0KpVKzRt2hR6vR4XL17Etm3b0Lp1azRs2BBqtdqpfzni6esaniHS09Ph5eUFtVqNDh06oEOH\nDujRowdUKhUiIiLw2muvudzKRKVSITo6Gtu3b0dERATi4+NdbtdUHB4eHvD29nabif3111+Rk5PD\ntwZjwWvv3r3xxRdfwMPDA7GxsfzjZ2VlQaPR/C0hZNsnhIWFoVGjRmjYsCG+//77EkeRFAqFU7mH\nwWAAUPbySUf4+Pg4lf8BRcLvmETZsWMHmjdvjqFDh+KHH36ATCbjTmVhYaHLqgS73e6y9Lc47SXR\nffLkSaxfvx4hISGIiIhA3759UbNmTQwcOBBnzpxBREQEsrKyAMBlOVVJSEhIAAC0atUKaWlp+OST\nTzB//nzodDr0798fYWFh8PT0RHJyMi+bBYqCZVc8A4C33noLVqsV4eHh/JvGx8e7/abs223evBlN\nmzZFQUEBtm3bhmnTpsHT0xPr16+HQqFw62ykpqYiMTGRl1AXR/F+wjL4xWlQqVQ4fvy4y2eU1P6V\nK1dw/fp1vp2X2WyGr68vdDodjEYjKleujEOHDrlUoI5g/HQlR8VLhufNm4f79+8jKioKjRo1woQJ\nE3Dr1i18/fXXfNqGwWCAl5fXU5VtZWVllbplmtFoxLBhw7Bu3TqnLPKPP/7oNJLtrn8VR25uLux2\ne4kyzPr9hg0bMHz4cKfStuHDhwvanz59OrKzs1G3bl00atQI7777Ls6dO8cTkO5K/5lOK6lfMpkp\nidaYmBinbbyeBZRKJZo0aYKtW7eiatWqiI+P56O/o0ePhlQqFejUuLi4vx3Ms29cXOfK5XLo9XqY\nTCYnmSUibNu2DW3btoVareZb8/n4+HAHY/ny5Rg3blyJ0y8MBgPq16/vVPLHYDQa0alTJ2zfvh1q\ntVpwLikpCXfv3hUcY9cUFhaWuE0ag0KhcGsnMzIy8Ntvvwn6vVqthtlsRn5+PgICArB3717BFn6l\n6frS4OXlhaioKCxatAg3btzAnj17+GjYBx98gMzMTNSpUweNGjXC5MmTcfHiRezatYvLelZW1lPZ\niOjoaOzfvx+3b99Go0aNUK9ePdjtdmi1Wty8eRPr16/HiBEjnPTAG2+8AblczmWwQYMGWLVqVYky\nqNFo0Lp1azRo0ADlypXDwYMH+farBQUFLvUiS/b6+Pjw0dAePXq4ddQtFgu36QDQoUMHfP755xg7\ndiwCAwO5ji6uV1il1s2bNwWlqQaDAYcPH8bbb7/tsj2FQsFH3Irj7bffhsViEdjJAwcOuLWT7Dnu\n+MDsg9FoRHBwsNsRWVc0Oj7/aeDoIwFFJe6ffPIJRo0ahYCAAJ4UduRncHAwYmNjMWrUKEyZMqXM\nW4AxMJ8lJiYGwcHB+OKLL7BgwQIUFBSgX79+nA/JyckCm+vODpWmxx1x7tw55OXlISYmhsvY8uXL\nce3aNXz++efw9/dHREQEkpOTBVt8OU4hdNRTxfn3f//3f7hw4QIGDhyIAwcO8OSSI/+MRiPefPNN\nrFy50mn0ePPmzVyvyeVyGI1Gt5UHLEBiU5+qV6/uchrg7t27ER4eLpgiZTAY4OPj49ZfMhqNiIyM\nxLlz55wGBkwmE37++WcAf8meO99q+/btkEqlJVZvMTj2balUim3btqFZs2bo1asX9u7dK/DX5XK5\nW71+/vx53Llzx+3WyMXB/NeSZIhN9alWrRpq166N4cOHIz8/H7Nnz0ZWVhafygb8vRhGr9fjiy++\nwLhx42Cz2XDw4EFMnToVffr04aX8JpMJXbp0QUJCAk9+O8qFxWIRJAy3bt2KZs2aoUePHti3b5+A\nf0BRkJ6Tk8OTauw9L1++jPnz58PX1xdVqlRBcnIy+vTpw/2H7t27C2yiI1JTU/HHH39gwoQJaNKk\nCby9vbF161YcOnQIq1evhoeHB15++WUkJye71bnPdWQ+KCgIZrMZubm5GDZsGIYNGwZfX18sXrwY\njx8/xowZMwAU7W3pat/GrKws5Ofnl7ifrCMkEgn69euHdevWOc2h0mq1mDRpEpo0acIZzkbm33vv\nPXz66adYuHAhJkyYwDtOgwYNkJOTIxg51Ol0GDNmDCZPnuyWjrt37yIlJQWLFi3CqVOnsHLlSowY\nMQLt2rXD6dOnneZoMqhUKifHkr1HWfavLg6pVOpUPmKz2WC32wWKtlq1ajhw4AAOHTqEoUOHQiKR\ncOE2Go0uy3Li4+ORlZWFdu3auWy7sLAQVqu1RLoTEhKgUChw/fp17N69G7NmzcKAAQNQpUoVJCUl\nASia4+Pt7S0o57fZbFi0aBF38l0hMTERwcHBqFmzJqKjo+Ht7Y1FixahTp06qFatGpRKJWrXru2k\ntF3xDChycC9duoRZs2bh7Nmz+PLLL/HGG2+gU6dOuHTpkss5e8XnCikUCnTv3h0VK1bkSYr+/ftj\n586duHPnjtO9bE92Vqrlrp9kZma67ScWi6XEoLd///6Ii4tDRkaG4HhhYSHGjRuHqlWr8v07FQoF\nWrRogfT0dCxbtowHk8X3fi0OJtPF5SgjIwN79+7lMsQyov369cO1a9ewadMmvP322xg4cCCMRiPP\npOfn5z91f2jQoAESEhIEfe/ixYto1qwZjhw5AqBodKpKlSouHQSVSsWNEoM7WSmO4OBghIeHC2SY\niLBlyxY0aNAAOp2OjxzUqlXL5Rw1x/YLCgqQmJiIMWPG4Pfff8f69esxbtw49O7dG+np6U6BXnE+\nZGVlCRxrnU6H0aNH871PS+OvRCIp03uXBRcvXsT333/vdDwnJwdarZbL9K1bt3Dnzh0sW7YMJ0+e\nxIoVKzB8+HC89tprOHXqlGC/+7KCORfFdW6fPn1gMBjw9ddfO92zceNGJCcn872QmUwfPXoUZ86c\nQZMmTTBhwgT06tXLpU5gKK1f5uTkIDIy0imQB9zLIuBcRu0O/fv3x969e53K+ux2O9555x3I5XJe\nvaFQKFC1alU8fPiQO9VNmzbFggUL+Ijc0/bJ9PR0LFmyxIlei8WChw8f8u9uMplw7NgxjBo1Cpcv\nX8aGDRswfvx49OnTB5mZmXy9jQYNGuDs2bOCNWkePHiArl274quvvnJqPzo6GpcvX8bhw4d5KX1U\nVBSkUinWr1+PkydPOpVJX7hwAdnZ2di4cSOSkpKwdOlSDBs2DK1atUJycjLnxZEjR7Bv3z6nNh8/\nfgyz2SzQ067sKxHhm2++wSuvvIKAgAAeFJb0bc1ms1MfmDp1Kt577z3079+fl/cX1y1RUVEIDAzE\np59+Kjh+8OBBmEwmPkWyOFzJIFDks124cAEzZ87EuXPnsGbNGrz55pvo0qULrly5wkcTHeHOPjx+\n/BgHDhzg9uFp9Q4LQlzRWRqKB6MAMHPmTEyYMAG9e/fGr7/+CsCZnz///DMiIyMxaNCgp27z+PHj\nCA8PR0REBFq2bAmpVIpFixahUaNGqFixIvz8/FC9evUy+yxP0yfZM1u0aIGKFSuiWrVqWLRoEXx8\nfNC2bVsARXN9XbUNOMumK/4tWrQI/fr1Q+fOnbn9ceRfTk4Oqlat6tLfdJQ3VkXqalpXXFwcjh49\nKtirPiYmBhs3buRTooAi/+bAgQNOVbdl0cuhoaEuK/wcaYyMjETDhg2xdOlSp2k0d+7cwbx58zB0\n6FBBubg7FO/boaGhSEhIwJ9//olu3brBYrFwPvbv3x+bNm1yqkQoKCjAhAkTUKtWLbRp06bUNoGy\nxR4JCQmIjo7GzZs38d1332HKlCkYMWIEgKKkk+Nziq+3VBY4rrvl6emJdu3aoW7durwiDijiT8eO\nHfHzzz/zdWcc9Uxx/oWEhCAhIQG3bt1C165dYTabBSPzTMZbtmyJChUqoGbNmli0aBHUajXat28P\nQNgXyqKfHZ8pl8vRvHlzLF++HHa7nSfHGjVqhOPHj7uvritxebx/GNnZ2SSTyWjYsGF0/vx5SkpK\norfeeoskEgmNHz+eX7d69Wry8PCgxYsXU0pKCt26dYu2bNlCtWrVosjIyDKvckxUtDWBj48PvfTS\nS/TVV19RcnIybdq0icLDw8nX15evqE1EdPnyZb6dD1HRqqAAqE2bNnTx4kWy2Wz06quvkp+fH33w\nwQc0depUCg0NJblc7rRtiiPeffdd8vX15fv0MrBtPNztjd62bVunLQ/YSuB37tyhR48eUUJCAs2c\nOZOaN2/u9jmHDx+mFStWUHBwMEVFRdGwYcNo2LBhlJKSwrfqcLXV3dGjR0kulxMAvgr9uHHjKDIy\nktLT04moaIuLXbt2UWBgIPXo8f+1d+dBUZx5H8C/wzEzyHDLKXgUiCSKCvE2Kh6JLkY3rmxWa4lR\nEU0WozG6xj2KVbK6sYxrVi1XgWjFqsTVjUZdUbNRPHA1HlmvaLxACYIH4rEYwWGY3/uHbz8vzcwg\n5PKl9vup4g96eqa7n+l+up9nup/vSJcjeWsjsO7evVuuXbsmBQUFkpWVJQMHDpTly5dLdXW1BAYG\n6vYDzcSJEyU8PFyNfvv666+Lm5ubTJkyRf7whz+omJbf/OY3TpctItKtWzdd7rGW91t3tNRJkyZJ\naGio2O12KSoqkpycHBk6dKiYzWYZN26cpKamqgzSrKwsMZvNDqNbayN1OksF0F5btGiRrFy5UiZM\nmCCBgYESEhKiRpe/d++exMTEqMzsffv2yZYtWyQhIUEMBoMuKqmh46Rdu3ZO82w3bNggQUFBLsup\ntLRUQkNDJSIiQpYuXSoFBQWyfv16iY2NFaPRqEssGD16tC5e8dq1ayo387333nO5DG10WW0Uebvd\nLidOnJCePXtKWFiYGpVaG/24ftZydXW1WCwWNULr3LlzJS4uTh48eCCFhYWyfv16mTJlivTs2dPl\nCPfHjx8Xo9EoPXr0kLffflvGjh0r7u7u0qlTJxUPExAQIH/961+dvv9Xv/qV2p+uXLkiubm5Mnz4\ncPH09JRXXnlFUlNTdRE39WmxML/4xS/k7bfflr59+6pEhZqaGhVr4ywLVUQkJiZGjWSrRcCcPXtW\nN8/t27dVvqorNptNnnnmGQkICJDf/va38uabb0poaKh4eXnJ3//+dxER8fPzk5UrV0p5ebkcPXpU\n3n33XUlOTpZZs2aJiEi7du0cRh2uqalpdH5tXbm5uWIwGGThwoVy8eJFKSwslI8++kg6deokkZGR\nUllZKSKPoo4CAwPV/xotyslVjF1DysrKBHAehTllyhRxc3OTSZMmSV5enhQUFMj48eMFeBRRqtV7\nWsScFu1WW1srubm54u3tLd26dXM4B2jeeuutBqPc4uLiXMZaZWVlqZHmr1+/LqtXr1YRYKmpqZKa\nmtpgjJnI/0Xh+fv7y/z582Xv3r2ybds2Fdv58ccfq3lnzZqlyw6+d++eTJ06VQCoRISIiAhZvHix\n3Lp1S7744gtZsmSJjBgxQjIyMpwuX9vf09PT5fTp01JcXCzbt2+X559/XoxGo9q3tZHm648of/fu\nXfH09JSsrCwRESkvL5fQ0FCJjo6WuXPnyuTJk8Xb21vCwsKcJuloKQQmk0kXoxQfHy/u7u5OI0fH\njRsnkZGRDqO7b9u2TVdvZWZmislkkpycHCkqKpILFy5Ibm6utG7dWhISEnTHiZubm8ycOVNNu3nz\npoqa1PZLLTLsk08+0S334cOHaj/URgevfz622+2Snp6uRlF2Fue5dOlSASAzZsyQEydOyJYtW6Rl\ny5YNxj6uWLFCPD09HaYvWLBAjEajiljVXLp0ySFpQKONtK99T3a7Xf79739LYmKiREVFqdHrV6xY\nIX5+fg5JLq6SXaxWq8tz8+MsWLBATCaTw/Ta2loVTwVAXReJ/F9dtG7duiYvT0SkY8eOKjlGRKRP\nnz4C6LPaf/nLX0rr1q3FbrfLxYsXJScnRwYNGiTe3t7qmmX9+vUiImKxWCQnJ0fKy8vlyJEjsmjR\nIklOTnaa2DJ27FhdapGWa183jm7hwoViMBikoqJCbt68KWvWrJHU1FQ1X2pqqixatEhEHtUZ4eHh\nDsupqamRkSNHqvKrm5Dh5eUla9ascVo2aWlpkpycrP6fOnWqGAwGmTBhgmzbtk0KCgokLS1NAMj4\n8eN1x8Hly5fFbDZL37595bPPPpPjx4/LwIEDxcfHxyFt4G9/+1uDo4qPGTNGXnzxRaevaUlFWgTd\nzp07xc3NTXr06CEffvihHDx4UP785z+Lr6+vREdHNzrpwGKxqHqurpMnT6qos7S0NBERKS4uluDg\nYImMjJTly5fLgQMHZN26dRIdHS1ms/mxqWJ1rVu3Ttzc3KS6ulqKi4vlH//4h8yYMUN69uwphw8f\nVnV4/baQ3W6Xtm3bqrSo7Oxs8fX1lerqarl8+bJs3rxZpk2bJj169HCaFFKX2WyWjIwMef/992X6\n9OnSpk0bMZlMsn37djWP0WhUiVF5eXnSokULiY2NVfP4+/vrovs0X375pQQGBgoAXdRuamqqLrUp\nIyNDXbtp3n33XTEYDFJeXi53794Vg8EgGzdu1H1+3fp59uzZKiZT5FGiFPAoLk/z0UcfCQAVLVnf\nE4+me//998XX11cdvCEhITJ//nzdCc1ms8nMmTPFz89PzWcymSQ9PV1KS0ubvMxTp05JcnKyiiAD\nID//+c9VZITm9OnTDo2H/Px8iYuLU4VcXl4ur732mgQFBUlkZKTMnDmzwRgukUcHfN0KWKNlzruK\nMHjjjTccTnZffPGF2gbtz2w2y09+8hOXWe/h4eHi4eEh7dq1k2eeeUZ69eol/fv3l5MnT6qLGFfZ\nkXl5eWKxWNQBmp2dLd7e3mIwGCQwMFCV6QsvvNBgRExFRYXKLNX+PDw8pF+/frJv3z75+uuvpU2b\nNk4bL6dPn5aQkBBd5vn8+fOldevW0rJlSxk7dqwcOXLE5bJFRNq3b6/LjszJyREfHx9drqd28Fy+\nfFl+/etfq/2zS5cu0qNHD+nbt6+KaJkyZYrLzoPRo0c7jby4ceOG6hwxGAzStWtXmT17tkOcyrVr\n12TcuHHi7e2tyqp3794OUR42m011FDX2ONm/f7907969wbIqKiqSlJQUlWcKQJ5//nmHSmXatGny\n8ssv66bZ7XbJzMx0GpmjOXXqlERERAgA8fPzU2USExOjq8yXLl2q6yyoa968eaoyXbBggcMxERQU\nJGlpaQ6NvboKCgokKSlJ/Pz8JDExUXJycnQdIGazWV0I1ZeVlaUuJn7/+98LAAkODtbtK3UzgOuz\n2+2SnZ0tcXFxEhAQIMnJyfLpp5+qyl7LCddyYet79tlnVYfJ3LlzHaJUNNOnT3faQVZXeXm5vPrq\nq6pOmzVrli6yKjg4WFe2BoNBEhISVNm8/vrrAkD8/f3F399fWrRoIW5ubo+NqnKmtrZW3nrrLXVR\nAkCMRqNMnDhRd6yOHj1aXSjWf/+gQYNk5cqVTV727du3pXfv3qohXpfNZpOFCxdK69at1XqFhoZK\nbm6u7tx15swZ8fb2doiEO3bsmHTr1s1l58yyZctk0qRJLtetTZs2uliuurKzsyUxMVF9DgAJDAyU\n+Ph46d69u/Tp00dmz5792O0vLy+XtLQ0sVgsahu7d++uixUSEVmyZInuokOzatUq1SHRrl07h2Oy\nc+fOsnbtWpfL1xq4dd8zfPhwXVTdH//4R5f71ZtvvqmLSDx37pz87Gc/Ez8/P+nQoYO88847DvF1\ndXXp0kXXSSEi6jzgrB547rnnnHaCW61W6d69u2rEVVVVSXp6uq4+t1gsMn36dIf1SUpKUud0rV73\n9vZ22J/79esnbm5uEhAQIH5+fuLl5SUGg0EdE/Pnz5e2bds63U6bzSavvPKKBAcH6xpPGrvdLitW\nrJCOHTsKAHF3d5fp06c3WJfm5eU5jT3LyMhQnX71jRkzxmkH1bFjx1T8mb+/v5hMJgEgcXFxug7L\nixcvitFoFJPJJIGBgWKxWMRkMom7u7tD5J7Io4vpfv36OXR6NkZmZqZ06NDB6Ws1NTUyZswYiYiI\n0EX6paWlSUJCQqOiSp2JiorSxfIuW7ZM/P39ddcLq1evFuBRJJ7WoRYaGipdu3ZV5yHt+lJrqNSt\nxxMTE1WnbV3Dhw/XxZHu2bNHPDw85NChQ2rasWPHBIB8+umnkp2d7bTemTFjhog8amz37t3b6XZW\nVVVJcnKyPP3002qa3W4Xg8Hg8geq3/3udzJq1Cj1v81mk0WLFkmbNm3U9gUHB8uqVaucdiofOnRI\nRo4cqa5f+/TpI2fOnHGYb+/evdKrVy+n6yAi8tOf/tTltc7hw4fFy8tL17m0a9cu1XGvHVtTp05t\ndEPebreLh4eHy3r04MGDEhQUJMuWLVPTLl68KKNGjdJdzyUnJzf5ONi4caNDnW6xWCQlJUWuXr0q\nGzZskJ49ezot75ycHJWbrnXI1v3z9fWVMWPGOI1+rSs6Olq9Jzo6WiZPnuzwvZlMJt258quvvlId\nXDU1NWI2m13+0HL48GFp2bKlLiJw5MiRuo7M/fv3i4eHh66dePz4cQGgOgwGDBjgtH7WfoB59dVX\ndfvVuXPnxNPTU9cBUFpaKm5ubpKbm+t0XQ0i3yLf7XtWVVWFY8eOwdPTE4mJiS6f6dNusTMYDIiM\njGz0yLyuVFRUoLi4GKGhoWjVqpXD67W1tViyZAkmT56sG/xORFBdXf2tRl98nIaiLZwREWzatAk3\nbtxAcHAwYmNj8fTTTzdYNtptN66Ws2/fPjz77LMuIyfqR8rdvn0bO3fuRFlZGUJCQpCYmPjY54+B\nR7fgXLhwAYGBgYiJiUGnTp0aXaZNLaf6rly5gpCQEHUrrYjg4cOHulu4tGdwhg0bBoPBgJqamkY9\nb9qUddWeX9IGRmnIN998g4sXL8JisSA6OtrlM3dWqxUlJSVwc3P7Xo4Tzb1791BUVKSej6u/fHnU\nOfitvher1Yr8/Hx8+eWX8PX1RUxMDAYMGNCk6Bz53+djKysrsX79etjtdrRq1QpPPfUU2rVr1+Rn\nFOvLz89Hz549Xcb8aEkYIvKt9xVXrFYr9uzZg6FDhzp9XXsWujFl/12PnaNHj+Lw4cPq2bD4+Hhd\n/Wi327Fv3z41AJW7uzssFguSkpJULFBTaXU/8Ciaqin79Hfd3sd99vnz52Gz2RATE+O0/mpqBFRj\n/Otf/8JTTz3ldGDJunWZiMBqtX6rtBXNgwcPcOHCBXh7eyM6OtqhLEUEdru9wW08fvw4Dh48CB8f\nH7XPNOa2ShHB1atXUVVVhaioqCafc7/Ld3/nzh3U1tbqUipu3LiBvLw8p+NWNHU9qqurUVJSApPJ\npMZocebkyZM4cOCAGo9lyJAhDmVntVqxc+dOfP3117h//74aKXzEiBEICwvDnTt3cOXKlQYHNWxM\nVOyDBw/U6M/ft4a+q4cPH2L37t04e/Ys/Pz80L59e/Tv399h/rKyMuzatQvl5eWw2WwwGo2IiorC\nqFGjvtdjsKKiAlevXkWXLl1czlO/PMvKymAwGBAeHv6tlllUVISIiAh1jeLsmqWmpga7du3CsGHD\nVGyxq+/qyJEjOHr0KHx9fREdHY34+HiXYxxdu3YNZrNZd0t1dXW1wy3v//znP9G/f3+YTKYG651r\n167hzp07uvGI6tLWvW757dq1C3379nVZx9ZNoqr7OefPn4fVakVMTMxjn8uuqalBTU3Ntx7f48yZ\nMzCbzYiOjnb6uqvn+MvKynD9+nVERUXpxqZojEOHDqFr164u60ZXx/Xdu3dRVFSEoKAgp2OTPY7N\nZsO6detw//59hIWFoUOHDujQoUOjjzPteH/48CHWrVuH6upqhIeHIy4uDu3bt29UvX3//n1UVVXB\n39/f5X7+wQcfoE+fPg7JLNr++/nnn6Nz584uv/P65aeN9Vb33OtY/jrCAAAGZklEQVTsWNixYweS\nkpLg5eWl6ueSkhJUVlaq+vmFF15AeHg4bt++DavVqhvXxdln7tmzBwkJCU4fv/h/0ZgnIiIiIiIi\nosZ7ogPgEREREREREVHTsTFPRERERERE1MywMU9ERERERETUzLAxT0RERERERNTMsDFPRERERERE\n1MywMU9ERERERETUzLAxT0RERERERNTMsDFPRERERERE1MywMU9ERNRMnTp1Clu3bn3Sq0FERERP\ngEFE5EmvBBERETVdSkoKtmzZglu3bsHPz+9Jrw4RERH9iPjLPBERUTNlNBphs9lw69atJ70qRERE\n9CNznzt37twnvRJERETUOFVVVVi+fDmOHz+OQ4cOobi4GKGhodi/fz9KSkrQuXNn3fznz5/Hzp07\nUVRUBIvFAl9fX6efW1xcjJ07d6K4uBgREREwGo0AgNraWnTv3h0+Pj6Ij4/H6dOn8eGHH6JVq1bw\n8/PD1atXsXXrVpSVlSE6OhoGg+EHLwMiIiLibfZERETNyoEDB9CvXz+nrxkMBlRWVsLb2xtVVVV4\n7bXXsHbtWmineoPBgNmzZ+Odd95R77l+/ToyMjKwefNm2O12AICPjw9yc3Px0ksv4cSJE0hISMCs\nWbPQqVMnTJo0CTabDf7+/pgzZw4yMzNhtVoBALNmzcKiRYt+4BIgIiIigLfZExERNSt9+/bFnj17\nsHbtWgwaNAgAsGDBAuTl5eHzzz+Ht7c3ACAjIwMffPAB0tPTsXv3bmzatAmDBw/GwoULUVRUBAC4\ne/cuBgwYgE2bNuGll15Cfn4+cnNzUVlZifXr1wMAampqAABnzpzBxIkTERsbi9GjR+Pu3buYM2cO\n2rZti8WLF8PHxwfvvfceqqurn0CpEBER/ffxeNIrQERERI1nMBiQlJQEADh79izy8/Px3HPPoVu3\nbmqekpISrFmzBqmpqVi1ahUAID8/HyUlJfD09FSD5S1fvhwXLlxAZmYm5s2bBwDw8vICAMTHxwMA\nAgICAAA7duxAly5dsHfvXmzbtg0bN27EuHHjkJ2dDZPJhMLCQqxYsQKFhYXo2LHjj1IWRERE/834\nyzwREVEzZTabAcDh1/AdO3YAAObMmYP8/HwMGTIEgwcPRnl5OT7++GMEBQVBRJCbm6tul9dUVVUB\ngHq2XmvMh4WFYfv27fD394ePjw8AYOjQoTCZTACgOhMuX778Q20uERER1cFf5omIiJop7Vd0rQGu\nOXnyJIxGI9LS0nD48GEEBQUhKysL06ZNU7/K379/H8XFxRgxYoT6HACwWCwAAE9PTwCAzWYDAAwe\nPBgREREAAH9/fwDAf/7zH/W+1q1bAwAKCwu/9+0kIiIiR2zMExERNVNaI7z+L/N2ux1WqxWlpaVY\nsmQJ0tPT1bP0Gnd3dwBQg9dpQkNDdZ9ZUVEBAAgKClLzhISEAABKS0vVtMjISADApUuXvttGERER\nUaPwNnsiIqJmytVt9tpo93/605/wxhtv6Bry+/btQ1JSEkQEsbGxOHbsmO792q/u586dAwDcvn0b\nABAYGKjm0Rr8JSUlalqrVq0APIq4IyIioh8eG/NERETNlDbSfG1trW56SkoK2rdvj5dffhkpKSn4\ny1/+gsWLF2PUqFEYMmQIysrK4O7ujhdffBEVFRVISUnBJ598gtWrV6N///4AgM2bN+Phw4fw8Hh0\nE1/dBn9AQAA8PDxQVlampmkZ9nUb+ERERPTD4W32REREzVxcXJzuf6PRiD179mDmzJnYunUrNm7c\nCADw8/PD+PHjMW/ePJjNZmRmZuLq1avYsGED8vLyAAC9evXChAkTsGbNGnz22WcYNGgQAgMDUVlZ\nqT7fYDDAx8cHd+7c0S03JiaGjXkiIqIfiUFE5EmvBBERETXdN998g4KCAgwbNszlPFVVVbh06RJa\ntGiBqKgoGI1Gh3lu3ryJr776CuHh4YiNjYWIYMeOHRg4cCC8vLxQWFiIsLAw3e36qampCA4OxpIl\nS9S0/fv3o7S0FGPHjv1+N5SIiIgcsDFPRERERERE1MzwmXkiIiIiIiKiZoaNeSIiIiIiIqJmho15\nIiIiIiIiomaGjXkiIiIiIiKiZoaNeSIiIiIiIqJmho15IiIiIiIiomaGjXkiIiIiIiKiZoaNeSIi\nIiIiIqJmho15IiIiIiIiomaGjXkiIiIiIiKiZuZ/APnmMXuSeQNsAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bcc9410>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"results = nn('GS', side='def', weight=True)\n",
"\n",
"xticks = results.index.values.tolist()\n",
"results.plot(figsize=(17, 8))\n",
"plt.xkcd()\n",
"plt.xticks(range(len(results)), xticks)\n",
"plt.xlabel('team', fontsize=18)\n",
"plt.ylabel('euclidean_distance', fontsize=16);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Just for fun, let's take a look at the all-star teams. In the all star games, the pace is fast and the defense is all but non-existent (even that's a stretch). So let's take a look at the most offensively and defensively similar teams to the EAST and WEST all-star teams.\n",
"\n",
"###Since the west scored many more points than the east, let's take a look at how other teams match up against them offensively.\n",
"\n",
"### And we can see that of course GS is the most similar, regardless of the *huge* spike. "
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python2.7/site-packages/IPython/kernel/__main__.py:38: FutureWarning: sort(columns=....) is deprecated, use sort_values(by=.....)\n"
]
},
{
"data": {
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Wjc/ng9PpLDoXQDgcBgDY7XYAwCuvvIKXX34Zd911Fy699FIAwLRp09TjABH2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\nF3So/Px8SVLJ0bb+PoEEAmYzto0bTejdts0cV7Zjh7RzZ8vHlDmdB9d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8AAAAAMCWaGTa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MBA6HS6/wkd4Q4OhwM5OTlITU3luiIzMxOpqalIS0vjujk7Oxsmkwk2mw35+fkC3cx4XVg3d+/e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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bc7f190>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"results = nn('GS', side='off', weight=True)\n",
"\n",
"xticks = results.index.values.tolist()\n",
"results.plot(figsize=(17, 8))\n",
"plt.xticks(range(len(results)), xticks)\n",
"plt.xlabel('team', fontsize=18)\n",
"plt.ylabel('euclidean_distance', fontsize=16);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Now to the EAST's defense, if we can call it that. \n",
"\n",
"###I think it's safe to say that the EAST's defense, even though not meant to be over-bearing (since it is the all-star game afterall), is the worst defense we'll see all year round. So let's compare.\n",
"\n",
"### And...I don't think it's a surprise that the most similar team is the LAL, while SA is the most dissimilar."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python2.7/site-packages/IPython/kernel/__main__.py:38: FutureWarning: sort(columns=....) is deprecated, use sort_values(by=.....)\n"
]
},
{
"data": {
"image/png": 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RERERUdd6kml7o2rDfE+mJCQSiR5fQT2XU8N2Pg/EYuqtUhfy7ovRf0VR8OKL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\n3rxZkjR//nyNGDFC/fr1a9J8gISEBCX8orurtra2fph9OBx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6AAAg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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bc77290>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"results = nn('GS', side='def', weight=True)\n",
"\n",
"xticks = results.index.values.tolist()\n",
"results.plot(figsize=(17, 8))\n",
"plt.xticks(range(len(results)), xticks)\n",
"plt.xlabel('team', fontsize=18)\n",
"plt.ylabel('euclidean_distance', fontsize=16);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Now your turn. Go ahead. Input a team and a side.\n",
"The accepted team values are:\n",
"```['ATL', 'BOS', 'CHA', 'CHI', 'CLE', 'DAL', 'DEN', 'DET', 'GS', 'HOU', 'IND', 'LAC', 'LAL', 'MEM', 'MIA', 'MIL', 'MIN', 'NY', 'OKC', 'ORL', 'PHI', 'PHO', 'POR', 'SA', 'SAC', 'TOR', 'UTA', 'WAS', 'BKN', 'NO']```\n",
"\n",
"The accepted side values are ```['off', 'def', 'overall']```\n",
"\n",
"###Have fun! Feel free to let me know what I got wrong."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python2.7/site-packages/IPython/kernel/__main__.py:37: FutureWarning: sort(columns=....) is deprecated, use sort_values(by=.....)\n"
]
}
],
"source": [
"side = 'off'\n",
"weight=False\n",
"team = 'ATL'\n",
"# four factors: off, def\n",
"dist_cols = {\"off\": ['efgp', 'ftrate', 'torate', 'offrebound_p', 'pace'],\n",
" \"def\":['oefgp', 'oftrate', 'otorate', 'ooffrebound_p', 'oposs']}\n",
"\n",
"if side == 'off':\n",
" cols = dist_cols['off']\n",
"elif side == 'def':\n",
" cols = dist_cols['def']\n",
"elif side == 'overall':\n",
" cols = dist_cols['off'] + dist_cols['def']\n",
"\n",
"nba = df.groupby('team').mean()\n",
"nba['team'] = nba.index.get_level_values('team')\n",
"nba_num = nba[cols]\n",
"\n",
"nba_norm = (nba_num - nba_num.mean())/nba_num.std()\n",
"\n",
"if weight:\n",
" if side == 'off':\n",
" nba_norm['efgp'] = nba_norm['efgp'] * 1.5\n",
" nba_norm['ftrate'] = nba_norm['ftrate'] * 1.1\n",
" nba_norm['torate'] = nba_norm['torate'] * 1.25\n",
" nba_norm['offrebound_p'] = nba_norm['offrebound_p'] * 1.15\n",
" elif side == 'def':\n",
" nba_norm['oefgp'] = nba_norm['oefgp'] * 1.5\n",
" nba_norm['oftrate'] = nba_norm['oftrate'] * 1.1\n",
" nba_norm['otorate'] = nba_norm['otorate'] * 1.25\n",
" nba_norm['ooffrebound_p'] = nba_norm['ooffrebound_p'] * 1.15\n",
"\n",
"team_norm = nba_norm[nba.team==team]\n",
"euclidean_distances = nba_norm.apply(lambda row: distance.euclidean(row, team_norm), axis=1)\n",
"\n",
"distance_frame = pd.DataFrame(data={\"euclidean_distance\": euclidean_distances, \"idx\": euclidean_distances.index})\n",
"distance_frame.sort(\"euclidean_distance\", inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
},
"widgets": {
"state": {},
"version": "1.1.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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