{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Plotting - Statistical Tests"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The main library for plotting is **matplotlib**, which uses the Matlab plotting capabilities. \n",
"\n",
"We can also use the **seaborn** library on top of that to do visually nicer plots"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"import pandas as pd\n",
"from datetime import datetime #For handling dates\n",
"import os\n",
"\n",
"import matplotlib.pyplot as plt #main plotting tool for python\n",
"import matplotlib as mpl\n",
"\n",
"import seaborn as sns #A more fancy plotting library\n",
"\n",
"#For presenting plots inline\n",
"%matplotlib inline "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"os.environ[\"TIINGO_API_KEY\"] = \"614c1590a592cc6696f6082f83b2666cd83882ef\""
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"from tiingo import TiingoClient\n",
"client = TiingoClient({'api_key':'614c1590a592cc6696f6082f83b2666cd83882ef'})\n",
"start = datetime(2018,1,1)\n",
"end = datetime(2018,12,31)\n",
"stocks_data = client.get_dataframe('META',frequency='daily',startDate=start,endDate=end)\n",
"stocks_data = stocks_data[['open','close','low','high','volume']]"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" open \n",
" close \n",
" low \n",
" high \n",
" volume \n",
" \n",
" \n",
" date \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" 2018-01-02 00:00:00+00:00 \n",
" 177.68 \n",
" 181.42 \n",
" 177.55 \n",
" 181.58 \n",
" 17694891 \n",
" \n",
" \n",
" 2018-01-03 00:00:00+00:00 \n",
" 181.88 \n",
" 184.67 \n",
" 181.33 \n",
" 184.78 \n",
" 16595495 \n",
" \n",
" \n",
" 2018-01-04 00:00:00+00:00 \n",
" 184.90 \n",
" 184.33 \n",
" 184.10 \n",
" 186.21 \n",
" 13554357 \n",
" \n",
" \n",
" 2018-01-05 00:00:00+00:00 \n",
" 185.59 \n",
" 186.85 \n",
" 184.93 \n",
" 186.90 \n",
" 13042388 \n",
" \n",
" \n",
" 2018-01-08 00:00:00+00:00 \n",
" 187.20 \n",
" 188.28 \n",
" 186.33 \n",
" 188.90 \n",
" 14719216 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" open close low high volume\n",
"date \n",
"2018-01-02 00:00:00+00:00 177.68 181.42 177.55 181.58 17694891\n",
"2018-01-03 00:00:00+00:00 181.88 184.67 181.33 184.78 16595495\n",
"2018-01-04 00:00:00+00:00 184.90 184.33 184.10 186.21 13554357\n",
"2018-01-05 00:00:00+00:00 185.59 186.85 184.93 186.90 13042388\n",
"2018-01-08 00:00:00+00:00 187.20 188.28 186.33 188.90 14719216"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"stocks_data.head()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\ProgramData\\Anaconda3\\lib\\site-packages\\pandas_datareader\\tiingo.py:234: FutureWarning: In a future version of pandas all arguments of concat except for the argument 'objs' will be keyword-only.\n",
" return pd.concat(dfs, self._concat_axis)\n"
]
}
],
"source": [
"#Alternative without the client\n",
"import pandas_datareader.data as web # For accessing web data\n",
"\n",
"stocks_data = web.get_data_tiingo('META', start, end, api_key=os.getenv('TIINGO_API_KEY'))\n",
"\n",
"stocks_data = stocks_data.reset_index(level='symbol',drop=True)\n",
"stocks_data = stocks_data[['open','close','low','high','volume']]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"df = stocks_data\n",
"df = df.rename(columns = {'volume':'vol'})"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" open \n",
" high \n",
" low \n",
" close \n",
" vol \n",
" profit \n",
" gain \n",
" size \n",
" \n",
" \n",
" date \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" 2018-01-02 \n",
" 177.68 \n",
" 181.58 \n",
" 177.5500 \n",
" 181.42 \n",
" 18151903 \n",
" 3.74 \n",
" large_gain \n",
" small \n",
" \n",
" \n",
" 2018-01-03 \n",
" 181.88 \n",
" 184.78 \n",
" 181.3300 \n",
" 184.67 \n",
" 16886563 \n",
" 2.79 \n",
" medium_gain \n",
" small \n",
" \n",
" \n",
" 2018-01-04 \n",
" 184.90 \n",
" 186.21 \n",
" 184.0996 \n",
" 184.33 \n",
" 13880896 \n",
" -0.57 \n",
" negative \n",
" small \n",
" \n",
" \n",
" 2018-01-05 \n",
" 185.59 \n",
" 186.90 \n",
" 184.9300 \n",
" 186.85 \n",
" 13574535 \n",
" 1.26 \n",
" medium_gain \n",
" small \n",
" \n",
" \n",
" 2018-01-08 \n",
" 187.20 \n",
" 188.90 \n",
" 186.3300 \n",
" 188.28 \n",
" 17994726 \n",
" 1.08 \n",
" medium_gain \n",
" small \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" open high low close vol profit gain \\\n",
"date \n",
"2018-01-02 177.68 181.58 177.5500 181.42 18151903 3.74 large_gain \n",
"2018-01-03 181.88 184.78 181.3300 184.67 16886563 2.79 medium_gain \n",
"2018-01-04 184.90 186.21 184.0996 184.33 13880896 -0.57 negative \n",
"2018-01-05 185.59 186.90 184.9300 186.85 13574535 1.26 medium_gain \n",
"2018-01-08 187.20 188.90 186.3300 188.28 17994726 1.08 medium_gain \n",
"\n",
" size \n",
"date \n",
"2018-01-02 small \n",
"2018-01-03 small \n",
"2018-01-04 small \n",
"2018-01-05 small \n",
"2018-01-08 small "
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df['profit'] = (df.close - df.open)\n",
"for idx, row in df.iterrows():\n",
" if row.close < row.open:\n",
" df.loc[idx,'gain']='negative'\n",
" elif (row.close - row.open) < 1:\n",
" df.loc[idx,'gain']='small_gain'\n",
" elif (row.close - row.open) < 3:\n",
" df.loc[idx,'gain']='medium_gain'\n",
" else:\n",
" df.loc[idx,'gain']='large_gain'\n",
" \n",
"for idx, row in df.iterrows():\n",
" if row.vol < df.vol.mean():\n",
" df.loc[idx,'size']='small'\n",
" else:\n",
" df.loc[idx,'size']='large'\n",
" \n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"gain_groups = df.groupby('gain')\n",
"gdf= df[['open','low','high','close','vol','gain']].groupby('gain').mean()\n",
"gdf = gdf.reset_index()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" gain \n",
" open \n",
" low \n",
" high \n",
" close \n",
" vol \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" large_gain \n",
" 170.459459 \n",
" 169.941454 \n",
" 175.660722 \n",
" 174.990811 \n",
" 3.034571e+07 \n",
" \n",
" \n",
" 1 \n",
" medium_gain \n",
" 172.305504 \n",
" 171.410923 \n",
" 175.321108 \n",
" 174.185577 \n",
" 2.795407e+07 \n",
" \n",
" \n",
" 2 \n",
" negative \n",
" 171.473133 \n",
" 168.024464 \n",
" 172.441342 \n",
" 169.233636 \n",
" 2.771124e+07 \n",
" \n",
" \n",
" 3 \n",
" small_gain \n",
" 171.217688 \n",
" 169.827283 \n",
" 173.070561 \n",
" 171.699146 \n",
" 2.488339e+07 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" gain open low high close vol\n",
"0 large_gain 170.459459 169.941454 175.660722 174.990811 3.034571e+07\n",
"1 medium_gain 172.305504 171.410923 175.321108 174.185577 2.795407e+07\n",
"2 negative 171.473133 168.024464 172.441342 169.233636 2.771124e+07\n",
"3 small_gain 171.217688 169.827283 173.070561 171.699146 2.488339e+07"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gdf"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Simple plots\n",
"\n",
"The documentation for the plot function for data frames can be found here: \n",
"https://pandas.pydata.org/docs/reference/api/pandas.DataFrame.plot.html"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#plot a column of the dataframe against the index\n",
"df.high.plot()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df.high.plot()\n",
"df.low.plot(label='low values')\n",
"plt.legend(loc='best') #puts the ledgent in the best possible position"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Histograms"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#histogram for the values of a dataframe column\n",
"df.close.hist(bins=20)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#histogram with the kernel density estimation (a smoothed function over the hitogram)\n",
"sns.histplot(df.close,bins=20,kde=True)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.displot(df.close,bins=50,kde=True)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Plotting columns against each other"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [],
"source": [
"dff = pd.read_csv('example-functions.csv')\n",
"dfs = dff.sort_values(by='A', ascending = True) #Sorting in data frames"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Plot columns B,C,D against A \n",
"\n",
"The plt.figure() command creates a new figure for each plot"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(); \n",
"dfs.plot(x = 'A', y = 'B');\n",
"plt.figure(); \n",
"dfs.plot(x = 'A', y = 'C');\n",
"plt.figure(); \n",
"dfs.plot(x = 'A', y = 'D');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Grid of plots\n",
"\n",
"Use a grid to put all the plots together using the [subplots](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.subplots.html) functionality"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#plt.figure(); \n",
"fig, ax = plt.subplots(1, 3,figsize=(20,5))\n",
"dfs.plot(x = 'A', y = 'B',ax = ax[0]);\n",
"dfs.plot(x = 'A', y = 'C',ax = ax[1]);\n",
"dfs.plot(x = 'A', y = 'D',ax = ax[2]);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Plot all colums together against A.\n",
"\n",
"Clearly they are different functions"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(); dfs.plot(x = 'A', y = ['B','C','D']);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Plot all columns against A in log-log scale (take the logarithm for the values in both axes)\n",
"\n",
"We observe straight lines for B,C while steeper drop for D. The B and C are a polynomial function of A"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(); dfs.plot(x = 'A', y = ['B','C','D'], loglog=True);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Plot with log scale only on y-axis (log-linear plot). \n",
"\n",
"The plot of D becomes a line, indicating that D is an exponential function of A"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(); dfs.plot(x = 'A', y = ['B','C','D'], logy=True);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Plotting using matplotlib\n",
"\n",
"Also how to put two figures in a 1x2 grid"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"[,\n",
" ,\n",
" ]"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (15,5)) #defines the size of figure\n",
"plt.subplot(121) #plot with 1 row, 2 columns, 1st plot\n",
"plt.plot(dfs['A'],dfs['B'],'bo-',dfs['A'],dfs['C'],'g*-',dfs['A'],dfs['D'],'rs-')\n",
"plt.subplot(122) #plot with 1 row, 2 columns, 2nd plot\n",
"plt.loglog(dfs['A'],dfs['B'],'bo-',dfs['A'],dfs['C'],'g*-',dfs['A'],dfs['D'],'rs-')"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Using seaborn"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x= 'A', y='B',data = dfs,marker='o')"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Scatter plots ###\n",
"\n",
"Scatter plots take as imput two series X and Y and plot the points (x,y).\n",
"\n",
"We will do the same plots as before as scatter plots using the dataframe functions"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 2, figsize=(15,5))\n",
"dff.plot(kind ='scatter', x='A', y='B', ax = ax[0])\n",
"dff.plot(kind ='scatter', x='A', y='B', loglog = True,ax = ax[1])"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(dff.A, dff.B)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax = plt.gca()\n",
"ax.set_xscale('log')\n",
"ax.set_yscale('log')\n",
"plt.scatter([1,2,3],[3,2,1])"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Putting many scatter plots into the same plot"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t = dff.plot(kind='scatter', x='A', y='B', color='DarkBlue', label='B curve', loglog=True);\n",
"dff.plot(kind='scatter', x='A', y='C',color='DarkGreen', label='C curve', ax=t, loglog = True);\n",
"dff.plot(kind='scatter', x='A', y='D',color='Red', label='D curve', ax=t, loglog = True);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"**Using seaborn**"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(x='A',y='B', data = dff)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"In log-log scale (for some reason it seems to throw away small values)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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ri9wvLS3V0NDQRZQMAACQenPeNXZ+1/e5dIEHAABIJ3PeNXb//feroKBAkjQ6OqoHH3xQRUVFkqSxsbH5rQ4AACCJ5hSE7rvvvqiv77nnnphn7r333kurKA20traqtbVVk5OTRpcCAACSiJOlE2CxNAAjeQNBefxB+UbH5Si0yF1kldNuNbosIO3N5fPb8O7zAIBYvYMjemzPUR3s9ESuNde5ta2lQVWuQgMrA7ILLTYAIM14A8GYECRJbZ0ePb7nqLyBoEGVAdmHIAQAacbjD8aEoLC2To88foIQMF8IQgCQZnyj4wnvD13gPoDZIwgBQJpx2CwJ75dc4D6A2SMIAUCacRdb1Vznjnuvuc4tdzE7x4D5QhACgDTjtFu1raUhJgw117m1vaUhagu9NxDU8T6/OroHdPyMn4XUwByxfR4A0lCVq1A7NjbK4w9qaHRcJTaL3MXR5wixxR64dAShODhZGkA6cNpnPkBx+hZ7uzVPm9csUWO1S2MTUzrZP6y83BxVOmwprhjIPJwsnQAnSwNIV8f7/Pr8D16T3ZqnH21s1HPtJ9Te1R+5v/bjaTRGhmBGnCwNAFkuvMV+85olMSHIbs3TNdUu/dUzrNPeETntVtpzADMgCAFABgpvsW+sdmnnq12R69NHiKZfZ+0QEB+7xgAgA4W32I9NTEVdjzdCJNGeA5gJQQgAMlB4i72rMPpwxcZqV0wICqM9BxCLIAQAGarKVagrK4q1dtp5Q+ePEIXZrXl66KZajU1McuYQMA1rhAAgg1U6bNre0qDH9xxVW6dHBfmx/33LuiFgZgQhAMhw0w9fnAqFtLbOHXXI4kzrhg6fHNBr75/RqsWl8o9NyFFoYXcZTIcgBABZYPrhi9NHiKTYnWVS9CjRE//77ch1RolgNgQhAMgy57fnGJ+KPTf3QrvLdmxsZGQIpkAQAoAsNH2E6HifP+b+9FGi81t02Cx5GgyME4RgCgShOOg1BiCbhM8capu2bii8u2ymhdS06IBZsH0+ji1btujYsWM6dOiQ0aUAwCULnznUPG2bfXh32UxTZAc5gBEmwYgQAJjA+euGSu3nRoniLaQOCx/AyBQZshlBCABMYvq6IUna1tKgP5/yJfyeoY+buwLZiiAEACZV5SrU8NhEwmdKbJaE94FMxxohADCxipKCqLVD0zXXueUuZloM2Y0gBAAmFm8htXQuBG1vaWB9ELIeU2MAYHLnL6QusVnkLo7fasMbCMrjD8o3Ok5LDmQFghAAIGYhdTy9gyN6bM/RqD5mtORApmNqDABwQd5AMCYESZ+05OC8IWQqRoQAABfk8Qd1sNMTtx3Hm90D6h/mvCFkJoIQAOCCBgLBGdtxrK4t1x2NCw2sDrh4TI0BABLyBoIKTkzN2I6jvatf3/2PPzE9hoxEEAIAJOTxB/X6X/p1/d+Ux4SgsIMft+MAMg1BKI7W1lbV19erqanJ6FIAwHC+0XH98x9OKC8nJ+FztONAJiIIxUH3eQD4hMNmUSA4qcD4ZMLnaMeBTEQQAgAk5C4+16n+ze4Bra4tj/sM7TiQqQhCAICEwm043jvl09dWL4kJQ7TjQCbLCYVCIaOLSFc+n09Op1Ner1cOh8PocgDAUN5AUP3DQU1OhTQ5FVIgOCln4cztOACjzOXzm3OEAACzMps2HECmYWoMAACYFkEIAACYFlNjAICk8waC8viD8o2Oy1FokbuIaTakB4IQACCpegdHYjrXf/HTFfru7Z/R6PgU4QiGIggBAJLGGwjGhCC7NU93XVujR/ccjWrZ0Vzn1raWBlW5Co0oFSZFEAIAJI3HH4wJQTs2NuqXb5xUY02pNq9eorGJKdkseXqze0Df+fd39I93XsPIEFKGIAQASBrftP5jdmuefrSxUXZrnv72uit0yjsS9WyV06aVNaXqHw4ShJAyBCEAQNI4pvUf27xmiZ5rP6FHb14qSfr126eipsZW15broXW1muKcX6QQ2+cBAEkT7lMmSY3VLrV39auoIF87D3RFhSBJau/q184DXRfscg/MJ4IQACBpwn3KmuvcGpuYkiSNjk/FhKCw9q5+jVygyz0wn5gaAwAkVZWrUDs2NuqUd1SS5B+biHnGbs3T5jVL1Fjtkn9sQsfP+NlOj5QgCAEAki4caJrr3MrPjZ76Ci+ifq79hHa+2hW5znZ6pAJTY3G0traqvr5eTU1NRpcCAFkjPE12wjOstbXuyPXwIurzp8vaOj16fM9ReQPBVJcKEyEIxbFlyxYdO3ZMhw4dMroUAMgqVa5Cra+v1D98eZnWnreIOp62To88foIQkoepMQBASjnt59b+7NzYKI8/qP7h+EEnvG4oODmp9z8a0lQopMDYhJx2K+uHMG8IQgAAQ4QDkfr8MffC64ZefOOklle7YqbOWD+E+cLUGADAUNPPGgoLrxuqr3KyfghJRRACABhq+llDYeF1Q6wfQrIxNQYAMFz4rCGPP6ih0XGNT51rsxE+hPF84fVDYxOT6ugekKPQwrohXBSCEAAgLUTWDEk6/vG6oYL82IkLd7FVP72vSd9/5V3OHcIlY2oMAJB2wuuGOnoGtbq2PHLdbs3TP9/fpP/1yrs6yLohzAOCEAAg7YTXDb13yqevrV4SCUOb1yzR0OgE64Ywb5gaAwCkpSpXof7xzmvUPxzUd2/7jCanQpoKhfTX/kDC7xsaHU9RhcgGBCEAQNqavm5Ikjq6B+KuG5quxGZJdlnIIkyNAQAyhsNmiVk3NN0XPl2hElu+TnqGdazXq0N/PavOj4ZYN4QZMSIEAMgY7mJrZN2QpKi1Qp+/6jL9t1vr9RfPsHa82hl1b22dW9vZUYY4ckKhUMjoItKVz+eT0+mU1+uVw+EwuhwAgKTewRF959/f0dIFDjVWuzQ2MSVXoUU15XYd7PTo5aO9cRdTN9e5tWNjI2cNmcBcPr8ZEQIAZJTwIurw4YslNovcxVZ5/EFVlBRccEcZQQjTEYQAABnn/EXUkvQXz/CMJ1GHsaMM52OxNAAgKzhslhl3lNmteXroplrZLHnq6B7Q8TN+FlBDEiNCAIAs4S626o9/PavVteVR02N2a55+tLFRz7WfoCUHYjAiBADICk67VTd+6jJ986a6qO31m9cs0XPtJ2LWDtGSAxIjQgCALLLAVSi7NU/f+/LVGg5OKBCcVHFBftRIkPRJ9/rGapfe7/OrrMhK93qTIggBALJKvNOopwtPlb34xklJUmO1S2eGxtRnt6imzK6FpfaU1gtjMTUGAMhqjvNabmxes0QvvnFSd392sTq6B/TNX3bo2CmfAsFJvXt6SO+d5iRqMyEIxdHa2qr6+no1NTUZXQoA4BK5i61qrnNHvm6sdqm+yqnn2k+oo3tQrXevUJXTJkkam5jSh4Mj2vfOaZ0aHDGqZKQQJ0snwMnSAJAdegdH9Pieo2rr9OjZv12hgvxcff3nh/WtL9bp2ivKtPNAV9Ri6tW15frmTXX69OUlrBvKQJwsDQDANFWuQu3Y2CiPP6ixiUn9tT8gSVq3tELbf/NuzI6y8Nff+/LVBKEsRxACAJhCeBG1NxDUYOCTE6ZnasnR3tWv4eBEqsqDQVgjBAAwFafdqsXldq2pLVdgbDLhs4Fg4vvIfAQhAIDpLCy1a9tXGmSz5iV8zlloSXgfmY8gBAAwpUVldi1w2rR22o6y6dbWuVVRUpDiqpBqBCEAgGlVOmza3tIQtb1eOteH7H+2NLBQ2gRYLA0AMLXpO8qGRsdVYrPIXUy7DbMgCAEATO/8thwwD6bGAACAaRGEAACAaTE1BgDAHHkDQXn8QflGx+UotMhdxNRapiIIAQAwB72DI3psz1Ed7PRErjXXubWtpUFVrkIDK8PFYGoMAIBZ8gaCMSFIkto6PXp8z1F5A0GDKsPFYkQIAIBZ8viDMSHIbs3T5jVL1Fjt0vt9fpUVWZkqyyAEIQAAZsk3Oh71td2apx9tbNSLb5yUJK2qKVV+bo5Gg5Pq7POrlFCU9pgaAwBglhy26N5jm9cs0YtvnNTdn12sY71e5eRI757y6bRvVH1DYzrZH9C+d07r1OCIQRXjQhgRAgBgltzFVjXXudX28fRYY7VLkvRc+wndcGW5CvJz9fLbp9Te1R/5ntW15VriLpLdmsfIUBpiRAgAgFly2q3aNq032djElBqrXWrv6tcXPl2pHQe6okKQJLV39WvHq50aYCF1WmJECACAOZjem2xsYlJ/7Q9IkiYmQzEhaPpC6r6hoCZDftYMpRmCEAAAcxTuTeYNBDUYOLeAejg4GfVMeCH1c+0ntPPVrsh1zhxKL0yNAQBwkZx2qxaX27WmtlzFBdFjC5vXLNFz7SdiRok4cyi9EIQAALgEC0vt2vaVBvnHxrW21h25Hl47FE9bp0ceP0EoHRCEAAC4RIvK7FpaWaL//uVlWltbLuncQupEhs47kwjGYI0QAADzILxu6B//y3INDAc1GQolfL7kvDOJYAxGhAAAmEeVDpuuWuDQIldhZJv9+Zrr3HIXs3MsHRCEAABIgvPPHAprrnNre0tDZAu9NxDU8T6/OroHdPyMn0XUKcbUGAAASTL9zKGh0XGV2CxyF39yjlDv4EhMN3u216cWQQgAgCQKrx06nzcQjISg6Qcvjk1M6WT/sPJyc1TpsBlQsbkQhAAAMIDHH4yEoHgHL679eAqNkaHkIgjF0draqtbWVk1OTl74YQAALoLv4+3z0w9eZGQo9VgsHceWLVt07NgxHTp0yOhSAABZyvHx9vnwwYt2a55a716hKqdNeTk5WuC0qdhmUVefX++fHmIRdZIwIgQAgAHcxVY117kjBy9+43N/I5slV7/780e657rF+v5v39Mfpp1MzVRZcjAiBACAAcLb612F50aG1i2t0M4DXWpY5NJzfzgRFYIk6WCnR4/Ro2zeMSIEAIBBqlyFysvN0dqPzxpq7+rXt77wKT3zu05J50aNtrc06HJngXKVK+VInX1+lRZZ5S6KvxsNc8OIEAAABqp02LS9pUEjwXMbdCYmz7XmcBdb9YsHrtMv3jipPl9QHT0D6h0cUd/QmE72B7TvndM6NThiZOlZgREhAAAMVuUqlH90QpJkL8iTJG1vadBTL/9J1y4pk82Sq1+/fSqqm/3q2nItcRfJbs1jZOgSMCIEAEAaqHQURKbIVteWq8JRoPau/sjaofbz1gy1d/Vrx6udGgzQxf5SEIQAAEgDTvu59UDvnR7SQ+tqNTz6yVl254eg6deHgxOpKjErMTUGAECaqHIVan19pQYD4xr+eM1QYCz2cN/pBy/6xyZ0/IyfxdMXiSAEAEAaCfcm6x0c0ZracuXn5UTdn6klB81aLw5TYwAApKEqV6G+d8fV+ssZv9bWuiPXp7fkmK6t06PHOWdozhgRAgAgTdWUF8lmyVPTkjL9t3//kw52etRY7YoaCTq/P9kp36gkMU02SwQhAADSWMXHDVd3bmyUxx9U//AnIz5Mk106psYAAMgATrtVV1YUq7zok5EepskuHUEIAIAMEm7WKn3SuT6etk6PPH6C0IUQhAAAyCDhZq3TO9fPZGiUwxYvhDVCAABkmCpXoXZsbNQp7+iMz9iteSq3W9XTPyx/cFJDo+NyFFpUareq8uN1R2BECACAjOS0W7XAaYtMk01nt+bphc1NCoZCOtjlUe/giDz+oHoHR/Xqnz9ST/+wARWnJ4IQAAAZavo02XTfvrVeUyGpzzeqX799St/8ZYeOnfIpFAqpwmGTb2xCvXSul8TUGAAAGS08TebxBzU0Oq4Sm0VToZBycqTv/Mef1NE9qB9tbNSLb5yUJS9H65ZWaHIqpJ6zAflHJ1TpKDD1mUMEIQAAMly4LUdYR/eArHm5au/q10M31erFN05q03VXyGbJ1fbfvBu102xtnVvbTXzmEEEIAIAs47BZIgcvNla7JEmnvCP69dun1NE9qG99sU7rllZIkgLBSZ0ZGlNebo4pF1EThAAAyDLuYqtGx891rR+bmIqEoY7uQbXevUI2S66e+d37qq9yqrHapbPDQQWCE5qYnNLCUruBlaceQQgAgCzjtFs1PDahtXVuFeTnRs4b2rxmiU55R/S7P3+kuz+7OKY1x5racm37SoMWlZknDOWEQqGQ0UWkK5/PJ6fTKa/XK4fDYXQ5AADMyQdnAzrY5VFNmT0yQiRJHT2D6ugeUEf3YFTDVpslTx/5RnXLssszegH1XD6/2T4PAECWWlRm1y3LLld1aaH6Pu5KH54qC+8mO9brVUfPoAryczU6PqnF5XZ5R8xzIjUjQgkwIgQAyBYfng1ocGRcp32jGpuY0rFTPh3r9UamyNq7+uUutmp7S4Mud9g0HJzI2JOo5/L5zRohAABMYGGZXfm+UR390KuaMntkAfX0EPSLB67T9t/8ObKI2uMPymUPKjg+qeryImP/AknC1BgAACZR6bDpxk9dprKic+t/pnev397SoO2/+bPu/uziqOmywcC4egZH1HM2YGTpSUMQAgDARBa4ClXltGlhaWFU9/oKR4Hqq5x68Y2Tuvuzi3W8b0iSVF1WqBzlyDc6rg+yMAwxNQYAgMmEd4Sd9Qcj1/yjk5Hpsj1HevTIF5bqqZf/FHUK9Zracv2PO67W4iyaJiMIAQBgQk67VYvL7VpTW64/dPWr2JangUBQjdUuNVa79NTLf4p7CvVgYFyWvJGsaclBEAIAwKQWltq17SsNeuJXb6vPNyZnoUXekXFVlxVGnUKdzf3JCEIAAJjYojK7dm5s1NnhoPJycySdmyYLn0Kd7f3JCEIAAJjc9O71OTk58o2Mx+1Plo0jQwQhAAAQUV1m1wdnA5GDF6ePDLV39ctuzYtqy3GyfzijR4YIQgAAIMqiMrv8wQl9ODASGRkKh6AfbWyMadaaySNDnCMEAABiLHDY1Dc0JklR3evDJ1FPd7DTo8f3HJU3EIz5OemOIAQAAGI47Vbd+KnLdLnDpoL8c3Fh+knUYXZrnh66qVb33XCF3u/z6/gZf0YFIqbGAABAXAtchcrNzdHRD71aXVsedRK1dC4Etd69QmeGRlXpKFCBJU+jwUm95/fLVWhRpaMgsgg7XRGEAADAjML9yZa4izQ5FYq6943P/Y3s1lwtLrdraHRCrQe69NWV1apwFKh/OKjxqSkNjU1oUandoOovjKkxAACQ0AJXoT59eYlqSgu1ts4dub5uaYWOnxnW8TPDeuH//lXf+uJSvXSkR32+MRXb8uQbmZB3ZFw9/cMGVp8YQQgAAFyQ025VdXmRtrc0qHlaGKp02FTpsOnOVdX64f739K0vLtVHvlH1+cY0EAjqI9+Y/tDlUXeahqGcUCgUuvBj5uTz+eR0OuX1euVwOIwuBwCAtOANBOXxB3V2OKgz/nM7yxaX23XGN6YCS65+cvAvqq9yRs4actktKi20yF1coMtScN7QXD6/GRECAABz4rRbdWVFsVx2iwryc1WQnyv/6IQWlRXqJwf/ors/u1jHer16p9erRaWFKi7Il290QmcDwbTbUcZiaQAAcFEqSgp0+OSAQqGQFtSUamx8SvVVTr34xkltuu4K2Sy5euZ370dGh/qHz40i1ZTZtTBNFlAzIgQAAC5K+Kyh2opiFVnyNBycVGO1S/VVTp3yjkRGhz44O6zLSgp0hbtIuTk58o1O6IOzAaPLl8SIEAAAuAQLXIWyW/PkHxmXszBfHv9YpC1HfZVTL/+/D/Vfv/Ap/cPLx6JGhlx2i0KhkKrLiwytP+uDUE9PjzZt2qS+vj7l5+fr29/+tu68806jywIAIGuEu9f3DgTkKrRocGRc0rmTqNfXV+ofXj6muz+7OKZH2Zracn3vjqtVY2AYyvoglJ+fr2eeeUbLly9XX1+fVqxYoVtuuUVFRcYmUAAAsk1VqV1TISl0NqDR8UmNTUwpPy9X9VXOqB5l0zvYd/b5NTYxpYoSY06hzvogtGDBAi1YsECSVFFRobKyMp09e5YgBABAEiwqO7cI+mDnGdWUF2loZFyN1a7ISNBMHeyb69zaZkAHe8MXS7e1tem2225TVVWVcnJytHfv3phnnn32WS1ZskQ2m00rV67UwYMHL+p3HT58WFNTU6qurr7EqgEAwEwWldnVXHeZyoqschRaonqUzdTBvs2gDvaGB6Hh4WFdc8012rlzZ9z7u3fv1iOPPKInn3xSHR0dWrt2rTZs2KDu7u7IMytXrtSyZcti/vT29kae6e/v17333qtdu3Yl/e8EAIDZLSyzq8ppU7E1T85CS+R6vA72YW2dHnn8qQ1Chk+NbdiwQRs2bJjx/g9+8AN9/etf1wMPPCBJeuaZZ/TKK6/oxz/+sZ5++mlJ0pEjRxL+jrGxMd1xxx164okndMMNNyR8bmxsLPK1z+eby18FAABME15ELZ1bGP2Hrv6YDvbnGxodT0VpEYaPCCUSDAZ15MgRrV+/Pur6+vXr9frrr8/qZ4RCId1///266aabtGnTpoTPPv3003I6nZE/TKEBAHDpqsuL9L07rtbaOrcK8hNHjxKbJeH9+ZbWQcjj8WhyclKVlZVR1ysrK3X69OlZ/Yz29nbt3r1be/fu1fLly7V8+XK9/fbbcZ994okn5PV6I396enou+e8AAACkmvIi7dzYqNrLiqM62E/XXOeWuzi1O8cMnxqbjZycnKivQ6FQzLWZrFmzRlNTiYfhwgoKClRQUDDn+gAAwIWFp8q2tzTo8T1H1dbpidxrrnNre0tDyrfQp3UQcrvdysvLixn96evrixklAgAAmaHKVagdGxvl8Qc1NDquEptF7mKrIecIpfXUmNVq1cqVK7V///6o6/v370+46BkAAKS3cAf75TWlurKi2JAQJKXBiJDf71dX1ycHKp04cUJvvfWWysrKVFNTo61bt2rTpk1atWqVrr/+eu3atUvd3d168MEHDawaAABkA8OD0OHDh7Vu3brI11u3bpUk3XfffXr++ed11113qb+/X0899ZROnTqlZcuWad++fVq8eLFRJQMAgCyREwqFQkYXka58Pp+cTqe8Xq8cDofR5QAAgFmYy+d3Wq8RMkpra6vq6+vV1NRkdCkAACCJGBFKgBEhAAAyDyNCAAAAs0AQAgAApkUQAgAApkUQAgAApkUQAgAApmX4gYrpLLyhzufzGVwJAACYrfDn9mw2xhOEEhgaGpIkVVdXG1wJAACYq6GhITmdzoTPcI5QAlNTU+rt7VVJSYmuvfZaHTp06KJ/VlNT00V9/1y/by7PX+hZn8+n6upq9fT0mO4cpYv955UsqapnPn/PfPysi/kZvDPG4J1Jj5+Xbp81s3kuGe9NKBTS0NCQqqqqlJubeBUQI0IJ5ObmatGiRZKkvLy8S/oHdLHfP9fvm8vzs33W4XCY7l/ql/rPe76lqp75/D3z8bMu5mfwzhiDdyY9fl66fdbM5efO93tzoZGgMBZLz9KWLVsM+f65ft9cnr/Uv1M2S7f/bVJVz3z+nvn4WRfzM3hnjJFu/9tk4jszHz8v3T5r0u3/F/EwNYYZ0WIEmBveGWDujH5vGBHCjAoKCvSd73xHBQUFRpcCZATeGWDujH5vGBECAACmxYgQAAAwLYIQAAAwLYIQAAAwLYIQAAAwLYIQAAAwLYIQLsrLL7+spUuXqq6uTj/96U+NLgfICHfccYdKS0v11a9+1ehSgLTX09OjG2+8UfX19WpoaNC//du/JeX3sH0eczYxMaH6+nodOHBADodDK1as0BtvvKGysjKjSwPS2oEDB+T3+/Xzn/9cL730ktHlAGnt1KlT+uijj7R8+XL19fVpxYoVeu+991RUVDSvv4cRIczZH//4R33mM5/RwoULVVJSoltuuUWvvPKK0WUBaW/dunUqKSkxugwgIyxYsEDLly+XJFVUVKisrExnz56d999DEDKhtrY23XbbbaqqqlJOTo727t0b88yzzz6rJUuWyGazaeXKlTp48GDkXm9vrxYuXBj5etGiRfrwww9TUTpgmEt9bwCzmc935vDhw5qamlJ1dfW810kQMqHh4WFdc8012rlzZ9z7u3fv1iOPPKInn3xSHR0dWrt2rTZs2KDu7m5JUrzZ1JycnKTWDBjtUt8bwGzm653p7+/Xvffeq127diWn0BBMTVLoV7/6VdS1a6+9NvTggw9GXbvqqqtCjz/+eCgUCoXa29tDX/7ylyP3Hn744dAvfvGLpNcKpIuLeW/CDhw4EGppaUl2iUBaudh3ZnR0NLR27drQCy+8kLTaGBFClGAwqCNHjmj9+vVR19evX6/XX39dknTttdfqnXfe0YcffqihoSHt27dPN998sxHlAmlhNu8NgE/M5p0JhUK6//77ddNNN2nTpk1JqyU/aT8ZGcnj8WhyclKVlZVR1ysrK3X69GlJUn5+vr7//e9r3bp1mpqa0qOPPqry8nIjygXSwmzeG0m6+eab9eabb2p4eFiLFi3Sr371KzU1NaW6XMBws3ln2tvbtXv3bjU0NETWF/3Lv/yLrr766nmthSCEuM5f8xMKhaKu3X777br99ttTXRaQ1i703rC7EoiW6J1Zs2aNpqamkl4DU2OI4na7lZeXF/VfsZLU19cXk9wBnMN7A8xNOr0zBCFEsVqtWrlypfbv3x91ff/+/brhhhsMqgpIb7w3wNyk0zvD1JgJ+f1+dXV1Rb4+ceKE3nrrLZWVlammpkZbt27Vpk2btGrVKl1//fXatWuXuru79eCDDxpYNWAs3htgbjLmnUnafjSkrQMHDoQkxfy57777Is+0traGFi9eHLJaraEVK1aEXnvtNeMKBtIA7w0wN5nyztBrDAAAmBZrhAAAgGkRhAAAgGkRhAAAgGkRhAAAgGkRhAAAgGkRhAAAgGkRhAAAgGkRhAAAgGkRhAAAgGkRhACY0uuvv668vDx96UtfMroUAAaixQYAU3rggQdUXFysn/70pzp27JhqamqMLgmAARgRAmA6w8PD+td//Vf93d/9nW699VY9//zzRpcEwCAEIQCms3v3bi1dulRLly7VPffco+eee04MjgPmRBACYDo/+9nPdM8990iSvvSlL8nv9+v3v/+9wVUBMAJrhACYynvvvadly5bpgw8+UGVlpSTpoYce0tmzZ/Xiiy8aXB2AVMs3ugAASKWf/exnmpiY0MKFCyPXQqGQLBaLBgYGVFpaamB1AFKNESEApjExMaFFixbp0Ucf1fr166PutbS06Jvf/KYeeughg6oDYASCEADT2Lt3r+666y719fXJ6XRG3XvyySe1b98+dXR0GFQdACMQhACYxm233aapqSn9+te/jrn35ptvauXKlTpy5IhWrFhhQHUAjEAQAgAApsX2eQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFr/H+BBSKSF5nh8AAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"splot = sns.scatterplot(x='A',y='B', data = dff)\n",
"#splot.set(xscale=\"log\", yscale=\"log\")\n",
"splot.loglog()"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Statistical Significance ###"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Recall the dataframe we obtained when grouping by gain"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" gain \n",
" open \n",
" low \n",
" high \n",
" close \n",
" vol \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" large_gain \n",
" 170.459459 \n",
" 169.941454 \n",
" 175.660722 \n",
" 174.990811 \n",
" 3.034571e+07 \n",
" \n",
" \n",
" 1 \n",
" medium_gain \n",
" 172.305504 \n",
" 171.410923 \n",
" 175.321108 \n",
" 174.185577 \n",
" 2.795407e+07 \n",
" \n",
" \n",
" 2 \n",
" negative \n",
" 171.473133 \n",
" 168.024464 \n",
" 172.441342 \n",
" 169.233636 \n",
" 2.771124e+07 \n",
" \n",
" \n",
" 3 \n",
" small_gain \n",
" 171.217688 \n",
" 169.827283 \n",
" 173.070561 \n",
" 171.699146 \n",
" 2.488339e+07 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" gain open low high close vol\n",
"0 large_gain 170.459459 169.941454 175.660722 174.990811 3.034571e+07\n",
"1 medium_gain 172.305504 171.410923 175.321108 174.185577 2.795407e+07\n",
"2 negative 171.473133 168.024464 172.441342 169.233636 2.771124e+07\n",
"3 small_gain 171.217688 169.827283 173.070561 171.699146 2.488339e+07"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gdf"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"We see that there are differences in the volume of trading depending on the gain. But are these differences statistically significant? We can test that using the Student t-test. The Student t-test will give us a value for the differnece between the means in units of standard error, and a p-value that says how important this difference is. Usually we require the p-value to be less than 0.05 (or 0.01 if we want to be more strict). Note that for the test we will need to use all the values in the group.\n",
"\n",
"To compute the t-test we will use the **SciPy** library, a Python library for scientific computing."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### The Student t-test"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"import scipy as sp #library for scientific computations \n",
"from scipy import stats #The statistics part of the library"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The t-test value is:\n",
"\n",
"$$t = \\frac{\\bar{x}_1-\\bar{x}_2}{\\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}} $$\n",
"\n",
"where $\\bar x_i$ is the mean value of the $i$ dataset, $\\sigma_i^2$ is the variance, and $n_i$ is the size. "
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ttest_indResult(statistic=-0.795639498508195, pvalue=0.429417750163685)\n",
"Ttest_indResult(statistic=-0.6701399815165451, pvalue=0.5044832095805989)\n",
"Ttest_indResult(statistic=-1.2311419812548245, pvalue=0.22206628199791936)\n",
"Ttest_indResult(statistic=-0.06722743349643102, pvalue=0.9465813743143181)\n",
"Ttest_indResult(statistic=-0.7690284467674666, pvalue=0.44515731685000526)\n",
"Ttest_indResult(statistic=-0.5334654665318223, pvalue=0.5950877691078408)\n"
]
}
],
"source": [
"#Test statistical significance of the difference in the mean volume numbers\n",
"\n",
"sm = gain_groups.get_group('small_gain').vol\n",
"lg = gain_groups.get_group('large_gain').vol\n",
"med = gain_groups.get_group('medium_gain').vol\n",
"neg = gain_groups.get_group('negative').vol\n",
"print(stats.ttest_ind(sm,neg,equal_var = False))\n",
"print(stats.ttest_ind(sm,med, equal_var = False))\n",
"print(stats.ttest_ind(sm,lg, equal_var = False))\n",
"print(stats.ttest_ind(neg,med,equal_var = False))\n",
"print(stats.ttest_ind(neg,lg,equal_var = False))\n",
"print(stats.ttest_ind(med,lg, equal_var = False))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Kolomogorov-Smirnov Test\n",
"\n",
"Test if the data for small and large gain come from the same distribution.\n",
"The p-value > 0.1 inidcates that we cannot reject the null hypothesis that they do come from the same distribution.\n",
"\n",
"Use scipy.stats.ks_2samp for testing two samples if they come form the same distribution.\n",
"\n",
"If you want to test a single sample against a fixed distribution (e.g., normal) use the scipy.stats.kstest "
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"KstestResult(statistic=0.26170072511535925, pvalue=0.10972343109925745)"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"stats.ks_2samp(np.array(sm), np.array(lg), alternative='two-sided')"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"KstestResult(statistic=0.26170072511535925, pvalue=0.10972343109925745)"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"stats.kstest(np.array(sm), np.array(lg), alternative='two-sided')"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"KstestResult(statistic=1.0, pvalue=0.0)"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"stats.kstest(np.array(sm), 'norm')"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### $\\chi^2$-test\n",
"\n",
"We use the $\\chi^2$-test to test if two random variables are independent. The larger the value of the test the farther from independence. The p-value tells us whether the value is statistically significant."
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" size \n",
" large \n",
" small \n",
" \n",
" \n",
" gain \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" large_gain \n",
" 15 \n",
" 22 \n",
" \n",
" \n",
" medium_gain \n",
" 11 \n",
" 41 \n",
" \n",
" \n",
" negative \n",
" 41 \n",
" 80 \n",
" \n",
" \n",
" small_gain \n",
" 6 \n",
" 35 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
"size large small\n",
"gain \n",
"large_gain 15 22\n",
"medium_gain 11 41\n",
"negative 41 80\n",
"small_gain 6 35"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# The crosstab methond creates the contigency table for the two attributes.\n",
"cdf = pd.crosstab(df['gain'],df['size'])\n",
"cdf"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will use the [chi2_contigency function](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.chi2_contingency.html) which compares the contigency table against the expected values as produced by the marginal distributions (see also the [chisquare function](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.chisquare.html) which assumes uniform marginals).\n",
"\n",
"The chi2_contigency returns: \n",
"\n",
" The chi2 test statistic \n",
" The p-value \n",
" The degrees of freedom \n",
" The table with the expected counts \n",
"<\\ol>"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(9.442582630336563,\n",
" 0.02395009556491976,\n",
" 3,\n",
" array([[10.76095618, 26.23904382],\n",
" [15.12350598, 36.87649402],\n",
" [35.19123506, 85.80876494],\n",
" [11.92430279, 29.07569721]]))"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"stats.chi2_contingency(cdf)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Error bars\n",
"\n",
"We can compute the standard error of the mean using the stats.sem method of scipy, which can also be called from the data frame"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"3207950.267667195\n",
"1530132.8120272094\n",
"3271861.2395884297\n",
"3064988.17806777\n"
]
}
],
"source": [
"print(sm.sem())\n",
"print(neg.sem())\n",
"print(stats.sem(med))\n",
"print(stats.sem(lg))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Computing confidence intervals"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"#confidence interval\n",
"conf = 0.95\n",
"t = stats.t.ppf((1+conf)/2.0, len(df)-1)\n",
"low = sm.mean()-sm.sem()*t\n",
"high = sm.mean()+sm.sem()*t\n",
"print(low, \",\", high)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"We can also visualize the mean and the standard error in a bar-plot, using the barplot function of seaborn. Note that we need to apply this to the original data. The averaging is done automatically."
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#sns.barplot(x='gain',y='vol', data = df, ci=95) #for older seaborn versions\n",
"sns.barplot(x='gain',y='vol', data = df, errorbar=('ci', 95))"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.pointplot(x='gain',y='vol', data = df,join = False, errorbar=('ci', 95), capsize = 0.1)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Visualizing distributions\n",
"\n",
"We can also visualize the distribution using a **box-plot**. In the box plot, the box shows the quartiles of the dataset (the part between the higher 25% and lower 25%), while the whiskers extend to show the rest of the distribution, except for points that are determined to be “outliers”. The line shows the median."
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.boxplot(x='gain',y='vol', data = df)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Removing outliers\n",
"sns.boxplot(x='gain',y='vol', data = df, showfliers = False)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"We can also use a [**violin plot**](https://seaborn.pydata.org/generated/seaborn.violinplot.html) to visualize the distributions"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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+/HixWiFXoaGhxMTEuJ2EEEIIf5WWluY8b7FYdCyJ7/L7ALRlyxaqVavmvNyhQweWLVvmts/SpUvp2LGjt4smhBBC6C4/P1/vIvgkXZvAMjMz2bt3r/PygQMHSE5OJi4ujlq1apGYmMjRo0f57LPPAPsIrzp16nDVVVeRn5/P7NmzmT9/PvPnz3ceY8iQIVx//fVMmDCBO++8k++++47ly5fzyy+/eP3xCeHLlFJ6F0EI4SGu728JQCXTNQBt3LiRLl26OC87+uE88sgjJCUlkZKSwuHDh53X5+fn8/zzz3P06FHCw8O56qqr+PHHH7n11lud+3Ts2JG5c+cycuRIRo0aRb169Zg3bx7t2rXz3gMTwg9Ivx8hApdr6CkoKNCxJL5L1wDUuXPnC/4KTUpKcrs8fPhwhg8fXupxe/fuTe/evS+3eEIIIYRfcg1AeXl5OpbEd/l9HyAhhBBCuHMNPRKASiYBSAghhAgwEoBKJwFICCGECDC5ubklnhfnSAASQgghAkxOTo7zvASgkkkAEkIIIQKMa+hxDUPiHAlAQgghRICRAFQ6CUBCCCFEgJEmsNJJABJCCCECTHZ2donnxTkSgIQQQogAopRyqwGSAFQyCUBCCCFEAMnNzcVmszkvSwAqmQQgIYQwiNOnT2OxWPQuhvCwooFHOkGXTAKQEEIYwI4dO7j77rudi06LwFU0AEkNUMkkAAkhhAGsXLkSm81GcnKy3kURHiYBqGwkAAkhhBABpGiTlwSgkkkAEkIIIQJI0QAkfYBKJgFICCEMRimldxGEBzlqfEKLXBbuJAAJIYTBFBQU6F0E4UGOGp/owssyE3TJJAAJIYQBaJrmPJ+fn69jSYSnOQJPpMtlqfUrTgKQEEIYgOvEeHl5eTqWRHha0QBktVql1q8EEoCEEMIAXEOPBKDA5nh+I0rYJs6RACSEEAbg+gUoTWCBzfFchwKOhk95zouTACSEEAbgGoBkWHRgc4SdoMITSA1QSSQACSGEAbiOBJIvw8Dm6O9jLjyBvR+QcCcBSAiDch0VJAKfawCSYdGBzbHgrZlzX/LSBFacBCAhhDAACUDG4ajtMXHuS951FKCwkwAkhBAG4FoDILUBgc0RdiQAXZgEICGEMADXfj9SAxTYHJMeapwbBSZ9gIqTACSEEAbgWusjk+IZj/T5K04CkBBCGIBrAJJRYMbguviFBKDiJAAJIYQBuNb6SA1QYHOEHcW5ECQBqDgJQEIIYQCOodEg/UECndlsn/3HVngCCAoKOu/+RqVrAFq9ejU9e/akevXqaJrGt99+e8H9FyxYwM0330yVKlWIiYmhQ4cOLFmyxG2fpKQkNE0rdpJOf0III3MNPRKAApsj7LgGIEcoEufoGoCysrJo1qwZ7777bpn2X716NTfffDOLFy9m06ZNdOnShZ49e7Jlyxa3/WJiYkhJSXE7hYWFeeIhCOG3HCNFhDG4Pt/y3Ae24OBgACyAI+pKDVBxuv5FevToQY8ePcq8/9SpU90ujxs3ju+++47vv/+eFi1aOLdrmkZCQkJ5FVMIIfyea+iRGqDAFhISAtjDj6XINnGOX/cBstlsZGRkEBcX57Y9MzOT2rVrU6NGDW6//fZiNURF5eXlkZ6e7nYyqhMnTsgIESECkGsnWJPJrz/6RSkcNUAFnKsBkgBUnF+/CyZNmkRWVhb33Xefc1vjxo1JSkpi0aJFzJkzh7CwMK677jr27Nlz3uOMHz+e2NhY56lmzZreKL7PWbVqFffccw+PPPKI/EIUIsBIADIOR5ePbJdtoaGh+hTGh/ntu2DOnDmMHj2aefPmUbVqVef29u3b89BDD9GsWTM6derEV199RcOGDXnnnXfOe6zExETS0tKcpyNHjnjjIfic7du3A3Ds2DGys7NL2VsI4U9cO8FKAApsjrAjAejC/LJX1Lx58+jfvz9ff/01Xbt2veC+JpOJNm3aXLAGKDQ0VF4cuK8Vk5eXR3R0tI6lEUKUJ9cAJB1iA1vRGqCQkBAJvSXwu7/InDlz6NevH19++SW33XZbqfsrpUhOTqZatWpeKJ1/c+37I/2AhAgsjn4hIAEo0IWHhwOQWXg5IiJCv8L4MF3fBZmZmezdu9d5+cCBAyQnJxMXF0etWrVITEzk6NGjfPbZZ4A9/Dz88MNMmzaN9u3bk5qaCtif7NjYWADGjBlD+/btadCgAenp6UyfPp3k5GTee+897z9APyMBSIjA5doJVmq8A1vRAOS4LNzpWgO0ceNGWrRo4RzCPmzYMFq0aMErr7wCQEpKCocPH3bu/9FHH2GxWBg0aBDVqlVznoYMGeLc5+zZszzxxBM0adKEbt26cfToUVavXk3btm29++D8kOtkkTk5OTqWRAhR3lwDkIwICmyOwOPo1CDz4JVM1xqgzp07X3BCrqSkJLfLK1euLPWYU6ZMYcqUKZdZMmNy7fgsM2cLEVhca32kBiiwFa3xkSawkvldHyDhOa61PjIKTIjAIgHIOIoGHglAJZMAJJxcQ48EoMAnq0Mbi2sziASgwCYBqGwkAAkn19CTmZl5gT2FEP7GNfRIp9jAFhkZ6XZZAlDJJAAJp6ysLOd5qQESIrBIDZBxSB+gspEAJAD7fEmutT5SAyREYHENQDIqKLAFBQW5jfSTAFQyCUACsI/6cl3/SwKQEIFFOkEbi2stkDR5lkwCkAAgIyPD7bIEICECi8wDZCyutT4SgEomAUgAxQNQ0ctCCP/muhaU1AAFPtdmTmkCK5kEIAFIDZAQgc512gOpAQp8rqFH+nyVTAKQAKQGSAgjkQAU+FxDjzSBlUwCkADO1fjYQuzzR0gAEiJwySSYgc+1mVNqgEomAUgA5wKPCo0G7IHoQuu0Cf8nz68Qgcs19EiNX8kkAAnApQaoMADZbDZZEV4IIfyUTHtQOglAAjgXgFRwBEqzvyykGUwIIfyTBKDSSQASgMsyGEEhYA5x3yaEEMKvuDZ7SQAqmQQgAZwLO8ocjDIHu20TQgjhX8xms/N8cHCwjiXxXRKABMC5/j6mcwFI+gAJIYR/knmfSicBSADnwo4yB0NhAJIV4YUQwv9JDVDJJAAJwL4YKgCmIJQpyH2bEEIIvxUUFKR3EXySBCABQF5eHoA9/BQGIMc2IYQQ/ksmviyZBCABQEFBgf2MyQSavfNcfn6+jiUSQgghPEcCkABcApBmRhWuGm2xWHQskRBCCOE5EoAEcC7sKE2DwokQrVarnkUSQgghPEYCkABc1oVyaSuWtaICmzy/QggjkwAkSmAPQTabTedyCCGEEJ4hAUgALqMElPMft5lEhRBCiEAiAUgAYDI5XgoKCptGzm0TgUiGxhqLNHkK4U6+4QRwbqIsTdnQlM1tmxBCCBFoJAAJwCXs2KxQGICkCUwIIfyT1PCWTgKQACA0NNR+xmYFm31IfFhYmI4lEkIIITxHApAAzoUdzWZBs1ndtgkhhPAv0uerdLoGoNWrV9OzZ0+qV6+Opml8++23pd5m1apVtGrVirCwMK688ko+/PDDYvvMnz+fpk2bEhoaStOmTVm4cKEHSh9YnGHHZgGrfVZoZ62QEEIIEWB0DUBZWVk0a9aMd999t0z7HzhwgFtvvZVOnTqxZcsWXn75ZQYPHsz8+fOd+6xbt44+ffrQt29ftm7dSt++fbnvvvtYv369px5GQAgPDwdAsxagFQagiIgIPYskhChH0ifEWKQGqHS6DvPp0aMHPXr0KPP+H374IbVq1WLq1KkANGnShI0bNzJx4kTuueceAKZOncrNN99MYmIiAImJiaxatYqpU6cyZ86ccn8MgcIZdqz5YJMAJIQQIrD5VR+gdevW0a1bN7dt3bt3Z+PGjc7FPM+3z9q1a8973Ly8PNLT091ORhMZGQkU1gBZ8t22CSH8n9QIGIvU+JXOrwJQamoq8fHxbtvi4+OxWCycPHnygvukpqae97jjx48nNjbWeapZs2b5F97HOQOQJQ+tsAYoKipKzyIJD5MvRCGEkflVAILiqdbxIe66vaR9LpSGExMTSUtLc56OHDlSjiX2D9HR0QBo+ZnObVIDJETgkBoBIdz51VS/CQkJxWpyjh8/TlBQEJUqVbrgPkVrhVyFhoYafsSTMwDlZQD2v0lISIieRRIeJl+IxmWxWGSmd2F4flUD1KFDB5YtW+a2benSpbRu3Zrg4OAL7tOxY0evldMfOZq7TLn2AOQIREKIwJOfn693EYTQna4BKDMzk+TkZJKTkwH7MPfk5GQOHz4M2JumHn74Yef+AwcO5NChQwwbNowdO3bwySefMHPmTJ5//nnnPkOGDGHp0qVMmDCBnTt3MmHCBJYvX87QoUO9+dD8jrMGqLD/jwQgY7HZbHoXQXiYa5+vvLw8HUsivE36+5VM1wC0ceNGWrRoQYsWLQAYNmwYLVq04JVXXgEgJSXFGYYA6taty+LFi1m5ciXNmzdn7NixTJ8+3TkEHqBjx47MnTuXWbNmce2115KUlMS8efNo166ddx+cnyna4VkCUOBz/VC0WCw6lkR4g2utjwQgY7FarXoXwSfp2gjcuXPnCybTpKSkYttuuOEGNm/efMHj9u7dm969e19u8QylaOCREWDGYrFYpM9XgMvNzS3xvAh8BQUF0uerBGX6iyxatKjMB7zjjjsuuTBCP0UDkNQAGYtjHi0RuFxDT05Ojo4lEd5WUFDgnO1fnFOmANSrV68yHUzTNKlq81NFa3ykBijwub5XJQAFPtfQIwEo8Lm+v6XTe8nKFICkg2TgCwoKIiwszPkrUQJQ4HMNPfIBGfiys7NLPC8Ck2s/L3l/l8yvhsELz3Kd+FAmQQx8rh+K8gEZ+CQAGYu8v0t3SQFo1apV9OzZk/r169OgQQPuuOMO1qxZU95lE14mAchY5APSWLKyspznpQks8Lm+p6XTe8kuOgDNnj2brl27EhERweDBg3nmmWcIDw/npptu4ssvv/REGYWXuK7+LivBBz7XKnIZFh34XEOPaxgSgck19Mj7u2QXPS7ujTfe4K233uK5555zbhsyZAiTJ09m7NixPPDAA+VaQOE9EoCMRfoIGItr6JEmsMAnAah0F10DtH//fnr27Fls+x133MGBAwfKpVBCH2FhYc7zMmQy8Ll+KEoVeWCzWCxuz7fUAAU+1/e0BN6SXXQAqlmzJj///HOx7T///DM1a9Ysl0IJfbiGHqMvDmsEMjGecRTt8yN9gAKf63Ms7++SXXQT2H/+8x8GDx5McnIyHTt2RNM0fvnlF5KSkpg2bZonyii8xDX0uNYGicAkAcg4itb4ZGZm6lQS4S0y71PpLjoAPfXUUyQkJDBp0iS++uorAJo0acK8efO48847y72AwntcQ4/UAAU+CUDGUTQASZNI4JMAVLqLDkCPPvooDz30EGvWrEHTNE+USegkODjYeV7WhQp88gFpHEUDjzzfgU/mfSrdRfcBOnXqFLfddhs1atTg+eefJzk52QPFEnowm83O8xKAAp8EIOMo+vzKF2Jgs1qtbp3e5fku2UUHoEWLFpGamsqrr77Kxo0badWqFU2bNmXcuHEcPHjQA0UUepCVgwObxWJxG/ouH5CBzRGAlKbcLovAVPT9LO/vkl3STNAVKlTgiSeeYOXKlRw6dIhHH32Uzz//nPr165d3+YROJAAFNvmANBZn4AkrclkEJHl/l81lrQVWUFDAxo0bWb9+PQcPHiQ+Pr68yiV0JgEosMkHpLFIADKWou9nmfepZJcUgFasWMHjjz9OfHw8jzzyCNHR0Xz//fccOXKkvMsndGIyyTq5gUw+II3FOcqvcHBnfn4+VqtVvwIJj5IfOGVz0T/za9SowalTp+jevTsfffQRPXv2lDljhPAzRQOP1AgENkcAUqEKDfvo3by8PFnyJkDJtAdlc9EB6JVXXuHee++lYsWKniiPEMILZGI8Y3HWALkM7pQAFLgcgScIsCAB6HwuOgA98cQTniiHEMKLHAEozKzItWrSBBbgnCP+gkCZFJpNk8kvA5ijRjcaOIPU8J6PdPQQwoAcgadymM3tsghMzrBjLjwhK4QHMkeNT3SRy8KdBCAhDMgReCoVBqCcnBzpFBvAnGHHjLPeXwJQ4HLU+EQVXrZYLBQUFOhXIB8lAUg4KaWc5202m44lEZ7m6PMTF3bueZZfiYHL2QTmUgPkOhGmCCyOABTpsk2aPIuTACScXNd2s1gsOpZEeJqjBigm2EawyR58pSN04HKrASr81JcAFLgcASgMZ96VHzglkAAkSiQBKLA5AlBEsCIiSLltE4HHGXZMSA2QATgCb3DhCeT5LokEIOHk2gQmb5bAlpGRAUBE0LkAJDVAgcvR/0OZldQAGUBJAUhGghUnAUg4uXaSkw6Sgc1R2xMuAcgQpAbIWBzPbTDn5rqRTtDFSQASTq6/EOTXQmBzNoEFKcKlCSzgOb/8XPoAyRdi4HIEoCDOBSAJvMVJABJOrqFHOswFNkdtjzSBGYOzT58JCUAGUFIAklr94iQACSfXL0CpDQhsjudamsCMwRl2NPtM0G7bRMBxPLcusx7IwJYS6B6A3n//ferWrUtYWBitWrVizZo15923X79+aJpW7HTVVVc590lKSipxH5kDoXSOjrFFz4vAopRy1vC51gBJ6A1czi8/lyYw+UIMXI7n1qXLlzzfJdA1AM2bN4+hQ4cyYsQItmzZQqdOnejRoweHDx8ucf9p06aRkpLiPB05coS4uDjuvfdet/1iYmLc9ktJSZEV68sgPT3deT4tLU3HkghPysnJcU50GS59gAzBtQZIAlDgc8zq7pJ3Zab3EugagCZPnkz//v0ZMGAATZo0YerUqdSsWZMPPvigxP1jY2NJSEhwnjZu3MiZM2d49NFH3fbTNM1tv4SEBG88HL939uxZ5/kzZ87oVxDhUY6gY9IUoSYkABlASX2AJAAFLkfYcXm6JQCVQLcAlJ+fz6ZNm+jWrZvb9m7durF27doyHWPmzJl07dqV2rVru23PzMykdu3a1KhRg9tvv50tW7aUW7kDVU5OjtsX4KlTp3QsjfAk5xB4s0LTkCYwA5BO0MbiqOHVCk+u28Q5QaXv4hknT57EarUSHx/vtj0+Pp7U1NRSb5+SksJPP/3El19+6ba9cePGJCUlcc0115Cens60adO47rrr2Lp1Kw0aNCjxWHl5eW495F2bgozi5MmTF7wsAodr/x84VwMkI/8Cl9QAGUtJAch1olthp3snaNf1p8D+JBXdVpKkpCQqVKhAr1693La3b9+ehx56iGbNmtGpUye++uorGjZsyDvvvHPeY40fP57Y2FjnqWbNmpf0WPxZSkqK2+WyhFDhnxxBJ6ww+ISZpQYokFmt1nPNHxKADEUC0IXpFoAqV66M2Wwu9kV7/PjxYrVCRSml+OSTT+jbty8hISEX3NdkMtGmTRv27Nlz3n0SExNJS0tzno4cOVL2BxIgHAHIFhYD2AOQvGECkyPohBUOD5EaoMDmFnSkCcyw5PO8ON0CUEhICK1atWLZsmVu25ctW0bHjh0veNtVq1axd+9e+vfvX+r9KKVITk6mWrVq590nNDSUmJgYt5PR/P333wBYY65AoZGTkyP9gAKUY8JLR/AJL6wBktm/A5PbDMAuE8PIzMDGUpaWFaPRrQ8QwLBhw+jbty+tW7emQ4cOzJgxg8OHDzNw4EDAXjNz9OhRPvvsM7fbzZw5k3bt2nH11VcXO+aYMWNo3749DRo0ID09nenTp5OcnMx7773nlcfkrw4dOgSALSIOFRaNlpvOoUOHqFy5ss4lE+XN2QRWGHxCgyQABTJH0FEot2HwEoCE0ekagPr06cOpU6d47bXXSElJ4eqrr2bx4sXOUV0pKSnF5gRKS0tj/vz5TJs2rcRjnj17lieeeILU1FRiY2Np0aIFq1evpm3bth5/PP7swIEDANjCK2ALr4gpN539+/fTqlUrnUsmypsj6ISaHTVA9u35+flYLBaCgnT9WBDlzDnAw4w9AJmLbBfCoHT/pHv66ad5+umnS7wuKSmp2LbY2NgL9lWYMmUKU6ZMKa/iGUJaWhr//PMPALaIStgi4uDMIfbu3atzyYQnOAKQswbIrNyui46O1qVcwjOcNXuOT/ugIttFwFKFJ5AmsJLoPgpM6G/37t0A2EKjISgEW4S92WvXrl16Fkt4iGNZmNDCmoAgE5g15XadCBxFA5CSJs+AJ2GnbCQACbZv3w6ALapq4f9VAHuzmIwMCjxFm8Bcz0sACjzORW6DcftfFr8NXI4AJOO+LkwCkODPP/8EwFoYgFRIBLaQKJRS/PXXX3oWTXjAuRqgcx+PIYWfBFIrEHicCxs7AlBIke0i4LjWADne5SaTfN0XJX8Rg7NYLGzbtg0AW/S5NdOsMfbzycnJehRLeJCj82uIawAqPC8dYwOPY2FjFVr4fIec2y5zwwQm1xog6QN0fhKADG7Hjh3k5OSggkLtnZ8L2WKqA7B582a9iiY8xBmAXN79ITI0OmA5FzkOxe1/q9UqzWDC0CQAGdyGDRsAsMZUB5dfCNbCALRjxw5Dro0WyM4FoOI1QNIHKPA4JzQNK9xgBhWs3K8TwoAkABnc+vXrAbBWcF//TIVGYQuviM1m4/fff9ejaMJDHLU8wW41QMrtOhE4nAsbh7tsLAxDEoCEkUkAMrCTJ0+yc+dOAKyxNYpdbykMRb/++qtXyyU8y7EGVLBLH6AgWR8qYJ04cQIAFe7S36cwDB0/flyHEgnhGyQAGZgj2FijqqJCIopdb61on5H7t99+ky/GAOJoAnOtAQqWGqCA5ZjkFJe3uIpQ7tcJYUASgAxs1apVwLmgU5Qtqiq24HAyMzPZtGmTN4smPOhcE9i5GgFHGJJRYIElMzOTrKws+wXX3ziR9v9SU1O9Xibhea6j+xw9O202mz6F8WESgAzq7NmzzhFelri6Je+kaVgr1gFg5cqV3imY8DiLxQJAkMuo2KDCMOS4TgSGlJQUAFSIcl/4KNL9ehFYHGHHxLkAJFMeFCcByKBWrVqFzWbDGlEJFRZz3v0sla4EYPXq1dI8EiCcfYBKqAGSps7AcuzYMfuZKPftKtL+3EsACkxSA1Q2EoAMatmyZQBYKte74H626HhswRFkZmY6R4wJ/+YIskEu7/4g6QMUkJw1QJFFfv0X1gCdOHFCav0CkNQAlY0EIAP6559/nLM/W+OuvPDOmglrYS3Q8uXLPV004QWOWp4g1xogzf06ERicNTyRRa4IA2VSWK1WGQkWgBwBSENqgC5EApABOWp/rNHVUKFRpewNlsr1AfuoMZk51r/ZbLZzfYDcaoDs/0sACizOTs5FA5CGs1O0NIMFHtcaIMfb3Gq16lYeXyUByGCUUi7NX/XLdBtbRCVsYRXIz893jhwT/sk14Lj3AZImsEDkGObuGPbupjAUSQ1Q4HGEHdcAJDVAxUkAMpi9e/dy4MABlGbGElenbDfSNGdYcoQn4Z9cA47rKLBgWQssIDnDTfFpvpyhSAJQ4CkpAEkNUHESgAxm6dKlAFgr1oKg0FL2PsfRWXrLli3ygenHHAFHQ8lEiAEuJyfnXJN1eAk7yGzQAcvRzG0CzEW2iXMkABmI1Wrl559/BsBSqcjoL6XAWmA/lTBaQIVGY42ORynlPIbwP66zQLusfetcDFUmQgwcp0+fBkCZi8wB5FC4HtiZM2e8VyjhFY6wY+bcl7wEoOIkABnI1q1bOXnyJMocUmzxU2wWIjd+SuTGT8FW8hvFUsneDCajwfyXo4YnxOwecmUm6MDjCECEcW4okAsVptz3EwFDaoDKRgKQgThrf+Lqgslcyt7FWeLqojSNPXv2cPjw4fIunvCC7OxsAEKLBKCwwss5OTleL5PwjPT0dPuZkPPsEFJkPxEwnCM9kQB0IRKADMJisbB69Wr7+UqlzP1zPsFhWGOuAOB///tfeRVNeJEjAIUXyb/hQcrteuH/JAAZk1LKOdrTzLkAJFNcFCcByCC2bNlCWloaKigMW0y1Sz6OY1JEWRvMPzkCTlhQyTVAEoACh6MDtAo5zwzAhQEoKytLZgkOIK6jvSQAXZgEIINw1v5UrA3apT/tloq1UGjs37+fv//+u7yKJ7wkIyMDgIgiASgyWLldL/yfM8yW1AHaZbvVapXRfwHEbaoLzj39EoCKkwBkAEopfv31VwCsZZ3753xcapDWrFlzmSUT3paWlgZATLD7pGjRhQEoMzNT+goECGcACj7PDkGgsD/vWVlZ3imU8DjXAGTmXACSkFucBCAD2L17t330lykI62U0fzlYKtYC4LfffrvsYwnvcgSgqJDiNUBa4Zeh9AkJDM4O7eerAdLOXSed3wOHYySnfQi85nz6ZYRncRKADMARVKyxV4DpfJ+GZWetYA9A27Ztk1+OfsYx5Dkm2D0AmbRztUAyL0xgKLUJzOU66fsVOJxzfRVeDi6yXZwjAcgANm7cCIA1tka5HE+FxWALjcFqtbJly5ZyOabwDsfaUJXCiq8LFFe4zbmApvBrzlmgz9cE5nKdLHIcOHJzc4HiAcixXZwjASjA5eTk8NdffwFgja1ebsd1HGvTpk3ldkzheY5wUyW8+LpAlSUABRRHh/bzjgID50gw6fweOJxzfRVedvwvzZzFSQAKcNu3b8disWALiUSFxpTbca0x9gC0devWcjum8CyLxcKJEyeAkmuAHAEoJSXFq+USnuHo73XeeYBcrjt79qyniyO8xNEtoWgAklq+4iQABThHQLFFJ7gv/nSZbNEJAOzbt09+PfqJI0eOYLVaCTMrKoYWrxWoFmmvFTp48KCXSybKm1LKGXZLXAjVsV+4/XVw8uRJL5RKeEPRABRWZLs4R/cA9P7771O3bl3CwsJo1arVBYdWr1y5Ek3Tip127tzptt/8+fNp2rQpoaGhNG3alIULF3r6YfgsZ/NXdHy5HleFRGALjUYpxY4dO8r12MIz9u3bB0DNKCumErJwrSir237Cf2VmZp5r8rhAAJIV4QOPo+YvovCy4//09HRstuI1v0amawCaN28eQ4cOZcSIEWzZsoVOnTrRo0ePUteZ2rVrFykpKc5TgwYNnNetW7eOPn360LdvX7Zu3Urfvn257777WL9+vacfjs9xDSe2qKrlfnzHMSUA+QfXAFSSGoXbT506JU0ifs5Ri6fCz7MSfCEVrdz2F/7P8d6NLLzsCEBWq1WawYrQNQBNnjyZ/v37M2DAAJo0acLUqVOpWbMmH3zwwQVvV7VqVRISEpwns/ncwkZTp07l5ptvJjExkcaNG5OYmMhNN93E1KlTPfxofM+xY8fIzMxEaWZs4XHlfnxrVBWAYjVwwjc5agPrRJc80WF4ECREWN32Ff7pwIED9jOxpewYe25/qR0IDI5pLBwBKAjN2QzmmAZD2OkWgPLz89m0aRPdunVz296tWzfWrl17wdu2aNGCatWqcdNNN7FixQq369atW1fsmN27dy/1mIFo9+7dANgiKoKp/J9qW0Rlt/sRvis3N9cZaprGnX+m56YV7ddt3rzZK+USnvHnn38CoCqUssZXFCizIicn51xoEn7NMdWFa/Z1nJemTne6BaCTJ09itVqJj3fvmxIfH3/eYbjVqlVjxowZzJ8/nwULFtCoUSNuuukm5zpXYB/CezHHBPsEUenp6W6nQLBnzx4AbBGVPHJ8W6S9VunEiRPSZOLj/vzzTwoKCogLtREffv5f+k3j7OsFSQDyX0op5/OnqpYSgEyA/XeMPOcBwhGAKrhsiy1ynbDTvRO0VmRkklKq2DaHRo0a8fjjj9OyZUs6dOjA+++/z2233cbEiRMv+ZgA48ePJzY21nmqWbPmJT4a3+Lo8+GpAIQ5BFtoNAD79+/3zH2IcuGYDbxpxYILDgZsUlgDtG/fPvm16KcOHjzI8ePHUSYFZXjrO0KSLG3j/ywWC8eOHQPAtdOD43xp/WuNRrcAVLlyZcxmc7GamePHjxerwbmQ9u3bO2s6ABISEi76mImJiaSlpTlPR44cKfP9+7JzAaj8+/84OI69d+9ej92HuDw2m83ZVNy66oVXhI4NUTSsYN/nf//7n8fLJsrf8uXL7WcSuPAyGIVUDXsA2rRpk9Tk+rm///4bi8VCCO5NYI4hMNLZ3Z1uASgkJIRWrVqxbNkyt+3Lli2jY8eOZT7Oli1bqFbt3AKfHTp0KHbMpUuXXvCYoaGhxMTEuJ38XUZGhvMXvC2iosfuxxGApAbId23bto0TJ04QEWSjWeULByCAjgn2VaN//vlnTxdNlDOr1eoMQKpmKc1fDlGgKipsNtu58CT8kuNHbxVA41xVb1WX65Uq4+vCAC5/ZczLMGzYMPr27Uvr1q3p0KEDM2bM4PDhwwwcOBCw18wcPXqUzz77DLCP8KpTpw5XXXUV+fn5zJ49m/nz5zN//nznMYcMGcL111/PhAkTuPPOO/nuu+9Yvnw5v/zyiy6PUS+ODo22kEgICi1l70vnGF0mAch3LVmyBIA2VQsILsNPnnZVC/h8l2LXrl0cPHiQOnXqeLaAotysXbuWlJQUVLBCVS/7F52qo9DOaCxYsIC7774bkwcGTQjPc3R+L7rqYzXstR0nT57kn3/+ISEhwdtF80m6vsr79OnD1KlTee2112jevDmrV69m8eLF1K5dG7BPye/aZpmfn8/zzz/PtddeS6dOnfjll1/48ccfufvuu537dOzYkblz5zJr1iyuvfZakpKSmDdvHu3atfP649OTo0nKk81frsc/cOAAVmvJ88sI/Zw6dYplS5cC0KlafpluEx2iaF5YUzRv3jyPlU2Uv6+//hoAVa/I/D8KsBSeSshFqo5CBSv+/vtvQ46YDRR//PEHALWLbA9Bo1qRfYQPdIJ++umnOXjwIHl5eWzatInrr7/eeV1SUhIrV650Xh4+fDh79+4lJyeH06dPs2bNGm699dZix+zduzc7d+4kPz+fHTt2uAUko/BG/x8AFRaNMpnJy8vj6NGjHr0vcfEWLFhAfkEB9WMtNKpw/uHvRd1W275y9NKlS2WZBD+xefNmkpOTwVQYgFxZwbzQjHmhGUr6nRIE6kr7bT799FOZE8gPnT592tkftmgAAqhT+P+GDRu8VSSfp3sAEp5xbg4gD40Ac9BMzmYwmQ/It2RnZzuXgbmtdu5FLQXXsIKVhrEWCgoKnLUKwncppZgxYwYAtrq2c9P/XswxGilUkL3pc9WqVeVcQuFpv/76K0opqgMxFH+zNyr8f+3atVgsZf8xFMgkAAWggoKCczVAkZU9fn82mRHaJ33++edkZmZSLcJKqyqld34u6vY69lqg+fPnX3AeLaG/FStWsH37djCDanqJnVxDQTW033bGjBnk5eWVYwmFpzlCa9PzXF8b++zQGRkZMudTIQlAAWjPnj1YLBZUUCiqcJ4eT3KErO3bt3v8vkTZHDlyxNl/5/4GOSUuflqaFpULaFyhgPz8fN5///1yLqEoL9nZ2bz77rsA2BrZzi3/fQlUQ4UKUxw9epS5c+eWUwmFpx07dozff/8dgKvPs48JjasKz3///fdeKZevkwAUgByd3KxR8VxUu8clcqw0v2vXLvnV6CPeffddLBYL11YqoEUZhr6XRNPg4UY5aChWrlzJpk2byrmUojzMmjWLkydPoiIVqvFlDnEOBtXMfozPP/9c+vX5ie+++w6lFPWASiU0fzm0Kfx/zZo1MtEpEoAC0pYtWwCwRZd9QsnLoUJjsAWHU1BQILVAPuDnn39m3bp1mDXFQw2zLysD14q20rWGPdROnDiR7OzsciqlKA/bt2939tGytbCBuZQblIGqqVBVFfn5+bz11lvSIdrHZWRk8MMPPwBQ2ljnBDTqYJ8c9ZtvvvF00XyeBKAAY7FYnAHIGnuFd+5U07DFVAdg48aN3rlPUaJjx445l4a5o04u1SMv/8urd71c4kJtHD16lGnTpl328UT5yMvLY/z48dhsNmy1bFCt9NuUiQa2VvYwtWXLFr777rtyOrDwhC+//JKMjAyqcK6j84V0Kvx//vz5hl8bTAJQgNm6dSs5OTmooDDPjwBz4Qhb69at89p9CncWi4WxY8eSlZVFg1gLvermlstxI4MVT1+dhYbip59+khmifcTHH3/MoUOHUKEK1bycZ/eNAts19vD8wQcfyBpSPur48ePOGsBu2Pv5lKYB9iHxBQUFfPLJJ54sns+TABRgHCMBLBVreaX/j4OlQi0UGnv37nUuxie86+OPP+avv/4iIsgeWMzl+O5uXNHCnYWBauLEiQGzXp6/2rBhA1999RUAttY28MBk76q+vSksNzeXsWPHUlBwaX3JhGcopZg8eTL5+fnUpmy1P2BfIqNb4fmffvrJ0CPCJAAFEIvFwurVqwGwxtX17p0Hh2GLsdfByyKa3vfjjz8yZ84cAB5rkkWV8PLvt3FX3VwaxlrIyspi+PDhsnCmTk6fPs24ceMAsNWzQXUP3ZEGtrY2VIh9bqCPP/7YQ3ckLsV///tf1q5dixnoifvaX6WpiebsEP3mm28atm+fBKAAsm7dOk6fPo0KCsMa46X+Py4slesD9i9jWXDPezZt2uTs99Orbg7t4z3zS91sgiHXZlIlzMrRo0cZMWKEjPrzMqvVymuvvWZ/n8co54gtjwkvrGEC5s6da7g1FX3VsWPHeGf6dAC6APEXEX4cugMVgNTUVKZNm2bIz2wJQAFk0aJFABRUaQhlXcxQ2dDyMtDyMp2btLxMtLwMUBdXi2CJq4syBXP06FEZMu0lBw4cYNTIkVitVjom5HHPleXT7+d8YkMVzzfPJCJI8ccffzBhwgQZJeRFSUlJ9iaLILB1KJ9RX6W6AmwN7M/xuHHjpIlbZ9nZ2SQmJpKZlUVN4F+XeJxQNO4GNOxNYQsWLCi/QvoJCUABYt++faxfvx6FhqVqWVuDQcvPIiJ5HhF/zHdui/hjPhHJ89Dysy6uEOZgLFUaADibY4TnHD58mOeee47MrCwaVihgQJPLG/JeVldE2Rh8bSZmTbF8+XImTZokIcgL1qxZw6effgqAraUNYrx33+pahYpTZGZmMmLECHJycrx358LJZrPxxhtvcODAAaKAfwPmS6j9cajr0h/onXfeMdwPVwlAAeKLL74AwBpXBxUWq1s5ChKuQaHx+++/s2vXLt3KEeiOHDnCkCFDOH36NLWiLDx3bRYh3qgNKHR1nIUnr7KPDPv++++ZOnWqIavQveXAgQO8/vrrANjq21C1vfy3NtlrnFSoYt++fbz55pvyfHuZUop33nmHNWvWYAYeoOQ1vy7WdUAz7OFq1KhRhlrTUQJQANizZ49zaHJB9Wa6lkWFRWOtVA+Ajz76SNeyBKqjR48ydOhQTp06RY1IKy+1zCQ6xPtfRh0TCnjyqmw0FN9++y3Tp0+XL0UPOH36NC+99JJ9eosqXuj3cz4RYOtoA5N97bFZs2bpUw4DUkrx4YcfMn++vaa+F/aOzOVBQ+NO7GuFZWZm8p9hw9i/f3+5HNvXSQDyc0opPvjgA5RSWCpd6ZXFT0uTX6MVSjOxceNG1q9fr3dxAsrBgwcZPHgwJ06coHqklcSWGcToEH4c/lUtn8eb2kPQ/PnzmTx5MlarVbfyBJrc3FwSExNJSUlBRSp7vx89P7UrFza/Ye+PtHjxYh0LYwxKKWbOnOnsVnAH0Lycwo9DMBoPAVcAaenpDHvuOQ4ePFiu9+GLJAD5uf/9739s3LgRpZnIr9Fa7+IA9logS7x92b2pU6fKSKFysn37dp595hl7+Imwh5/YUP1rXK6vnk//JvYQ9N133/Haa6+Rn5+vd7H8nsViYcyYMezYsQMVorB18sx8PxdL1VXYGttD0Ntvv82GDRt0LlHgslqtTJkyhc8++wyAW4E25Rx+HMLQeBhIAE6fOcMzzzzDX3/95ZH78hUSgPxYeno60wuHQhZUb44K82KvyFLk12iBLSSSo0ePSlV5Odi4cSPPDR1KWno69WIsjGqdQUUfCD8Ona/IZ9A1WZg1xYoVK3jppZcMO7dIebDZbIwfP55ff/3V3v/mOhtE612qc9TVClstG1arlREjRpCcnKx3kQJOXl4eo0eP5ttvv0UDbgM6eCj8OESg0Q+ogf37ZejQoQE9u78EID+llGLixImcOXMGW1gF3fv+FGMOIb9OR8A+f8i2bdt0LpD/+vnnnxk+fDg5ublcHVdAYssMXfr8lKZ9fAHPN88k1Kzsge2552SyxEvgmOF32bJloIG1gxX0b9l2p4Fqo1AJiry8PF566SV27Nihd6kCxpkzZ/jPf/7DqlWrMAP3Au0vIvwoFPmFJ8XFfVZEovEo9iUz8vLySExMZOHChQHZv08CkJ/68ccfWblyJUozkVfvBjB5cQhQGVkr1qagcgNsNhtjx44lIyND7yL5FaUUX3zxBWPGjMFisdAuPp//NM8kLEjvkp3fNZUsvNwyg6hgGzt27OCpp56SZTMugtVq5e2333bO6WVr68GZni+Xyd4pWlVRZGdnM2zYMP744w+9S+X3du3axeOPP862bdsIBR4GrrnImp8CYGzh6VKmRQ1B40GgBfbayClTpvD2228HXNO2BCA/tGvXLqZOnQpAQY1W2KKq6FugC8iv0wFbaAz//PMPr7/+uswXU0YWi4XJkyc7R9J1r5nLoKuzCPaDd2y9WCuvtM6gSrh9xuinnnpKvhjLwGKx8MYbb/DDDz/Yl6FoY0PV8vFf3WZ785yqrMjKyuI///mP4eaSKU9Lly5l0KBBHD9+nErAk8CVHm72Oh8zGndhX2RVA3744QeGDBnCyZMndSmPJ/jBx6lwdebMGUaMGEF+fj6WCjUpqHat3kW6MHMIeQ1uRJnMrFu3jpkzZ+pdIp+XnZ3NiBEj+O6779BQPNQwm76NcjDp8zl4SapH2hjdOoN6MRZnXwJZI+78cnJyGDlyJMuXL7eHn3Y2VB0fDz8OwWDrZEPF2xdOHT58OCtXrtS7VH4lLy+PSZMm8frrr5Ofn09DYCBQRafw46Ch0QmNvkAY8Ndff9G/f382btyoa7nKiwQgP5KXl8fIkSM5fvw4trBY8up19uqK75fKFlmZvLr2Cds///xzli5dqnOJfNfJkyd59tlnWbduHSEmxZBrs7illn+OoosNVbzcKoNWVfIpKChg9OjRfPnllwHZl+ByOJ7ztWvXggmsHa2omuX0N7IBWYUnB8fl8qyMDSqsCaquKCgo4NVXX2XOnDnyXJfB4cOHGThwYOEPHrgBeBD7qCxf0QCNgUA85/onffzxx1gsFr2LdlkkAPkJxxTof/zxB8ocQm7DrhDkA2Niy8hauQH51a4B7KsPSzV5cfv27WPgwIHs2bOHmGAbL7fKoHVVzyxs6i2hZhhybRbdatrXKPvwww+ZPHmy339wlpe9e/cycOBAdu/ejQpRWG+wlm+fnxwwLzZjXnquj6B5qRnzYjOU92oWZnufIFt9m3N+skmTJlFQ4N+vYU9RSvHf//6XAQMGsG/fPiKx9/fpiobJh8KPQyU0ngTaYC/7559/ztChQ/nnn3/0LtolkwDkBxxToDs6Pec27IoKr6h3sS5aQc22WOLqYrFYGDlypKGmXC/Nxo0beeaZZzh+/DjVIqyMbpNB/VjPTSioFORa7SdP/0g3afBwoxweanhurqDExETDD5NftmwZTz31FMePH0dFKWw32XxvtNfF0kA1V9ia2auXFi1axNChQwOq30h5yMjIYPTo0YwbN47c3FyuBAYB9X0w+LgKRuMONO7DPiXVtm3bePTRR50rEfgbCUB+YNasWc4p0POuvAFbjK8OCymFppFX7was0QlkZWXx/PPPywghYMmSJbzwwgtkZWXRuEIBr7bJoGqEZzuL59lgwIqKDFhRkTwv9Uu/pVYeQ67NIsSkWL9+Pc8++yynT5/2zp37EIvFwvTp0xk7dix5eXmo+MLwE6V3ycqJBqqhwnqdFRWs+OOPPxgwYIB0hC+0efNm+vXrx4oVKzABNwGPANE+Hn5cXYPG09jnC8rMzGTMmDG8/vrrZGZm6l20iyIByMfNnTuXpKQkAPJqd8RauZ6+BbpcpiByG3bDGlGJs2fP8txzz5Gamqp3qXTz1Vdf8cYbb2C1WumYkMeLLTOJCg7cfhOtqxYwolUGMSE29uzZw6BBgzh27JjexfKalJQUnn32Wb755hsAbE1s9hmeQ3QumCdUB9tNNlSM4vTp0wwePJgvvvjCsCNB8/Pzef/993nuuec4ceIElYDHgc4+2uRVmjg0BgCdsY8SW7p0KY899hhbt27Vt2AXQQKQD1uwYAHvv/8+YF9fy5LQVOcSlZOgEHIb34ItLJbjx48zdOhQTpw4oXepvEopxYwZM3j33XcBuKVWLgOvyvaLYe6XyzlMPsw+TH7QoEHs27dP72J53IoVK3jsscf466+/UMHK3tn5aoUffveVXbQ9BNlq2meN/uijj3j++ec5deqU3iXzqn379vHEE08wd+5clFK0Bp4Cavj5k29G46bCIFQRSE1NZfDgwXz44Yd+MWeQAT5u/dMPP/zgnOsnv3ozCqo317U85S44nNwmt2ILjebYsWPO1c2NwGazMXHiRGbPng3AffVyeLCBfw1zv1wJETZeaZNBjUgrp06d4tlnnw3YJpKcnBzefvttXn31VbKyslBxCtvNNvvKk0YQBKqdwtbKBmZ7f7fHHnuM3377Te+SeZzNZmPOnDk88cQT7N+/n0jgAeBONEL9PPy4qoXGIKAl9h93X375JQMHDvT5VeUlAPmg//73v7z99tsAFCRcQ0GN1n4x3P1iqZBIewgKieLIkSOGWDpBKcXUqVP5/vvv0VD0b5LFHXVzA/HpLVXFUMWo1hk0jLWQmZnJ8OHD2bVrl97FKlfbt2+nf//+fP/99wDYGtuwdbFBpM4F8zYN1JUKa1crKkZx5swZhg8fzpQpU8jNzdW7dB5x4sQJhg0bxgcffEBBQQGNgGeAJgEUfFyFonEXGvcDEdhHOD7++OPMnz/fZ6dDkADkY37++WfefPNNlFIUxDclv1bbgAw/Dio02h6CgiM4ePAgw4YNIz09Xe9ieYRjaLB9cUPFU1dn0eUK71YTW21wIsfEyZxzb/2TOSZO5Jiw6tA1IzJY8WLLDBpXKHDOJOzrvxrLwmKx8Omnn/L000/z999/o8IV1uutqGuUsT91Y8DW1Yatgf3FtnDhQgYMGBBwwXf16tU8+uijbN68mWDgTuxz+0QFaPhx1RSNZ4CGQEFBAdOmTePFF1/kzJkzehetGCO/FX3O2rVrnctFFFRpRH7tDgEdfhxUWExhCApn7969DB8+PCCHSH/66afMnTsXgMeaZNMxwfvzo5zOM/Hcr7G89Fusc9tLv8Xy3K+xnM7T5+Mg1Az/aZ7pnDV62LBhfj068OjRozz77LPMnDkTm83e/8XWzWafRU6A2T5U3trJigpTzokAZ8+ejdXquakfvCEvL4+JEycycuRI0tPTqQ48DbRGQzNA+HGIRuMh7CvYBwG//fYbjz76KBs2bNC5ZO50D0Dvv/8+devWJSwsjFatWrFmzZrz7rtgwQJuvvlmqlSpQkxMDB06dGDJkiVu+yQlJaFpWrGTr1ezJicn88orr2C1WrFUqkd+3X8ZIvw4qPAK5DbugQoKZfv27YwYMYK8PP+cAbkkS5Ys4ZNPPgHgoYbZXq/58XXhQfBCi0xqRVk4ffo0L7zwgt8NqVVK8cMPP/Doo486Ozrb2tpQ7VVgjvK6XAlg62ZD1VBYrVZmzJjBkCFD/HZUoGPdO8dCtv/CPsqrsoGCjysNjfaFkydWBef7etasWT4zElDXADRv3jyGDh3KiBEj2LJlC506daJHjx4cPny4xP1Xr17NzTffzOLFi9m0aRNdunShZ8+ebNmyxW2/mJgYUlJS3E5hYWHeeEiX5MCBAyQmJhau71WLvCtvMFT4cVARceQ26o4yBbNp0ybGjx/vM2+Uy3Ho0CEmT5oEwJ11c/x2aQtPiwpWvNgyk8phVo4dO8bbb7/ts30HisrIyOCVV17hrbfeIjc3F1XF3tFZ1faP8usmFGztbdja2CDIPrHeY4895ncT661du5bHBwxg7969RGKf16c7GkEGDT+uEgqX0XDMID1r1ixefPFF0tLS9C6avgFo8uTJ9O/fnwEDBtCkSROmTp1KzZo1+eCDD0rcf+rUqQwfPpw2bdrQoEEDxo0bR4MGDZwdDB00TSMhIcHt5KtOnz7Niy++SFZWFtboBPIa3Agm3SvmdGOLqkpuw5tRmon//e9/fr94al5eHqNHjyYnN5emFQu450rfronUW2yI4plrsjBrihUrVhR7b/uinTt3MmDAAFatWgUmsF1jw3aDATs6XyoNVB2FtZsVVUmRnZ3NmDFjmDRpks/XAiulSEpK4qWXXiIzK4ua2Ie36zWjsxXFGRRnXbadBc6gsKJfGHfMIH039iax9evX8/jjj+ve30+3b9r8/Hw2bdpEt27d3LZ369bNvihgGdhsNjIyMoiLi3PbnpmZSe3atalRowa33357sRoiX2GxWBg1ahSpqanYwmLIbdAVTEF6F0t3ttjq9iZA7Iun+tuvQVcffvgh+/btIybExlNXZxlqqPulqh9r5b769oWqpk+fzsGDB/Ut0AUsXLiQp59+mpSUFFSEwtrFimoc4HP7eEok2DrbsDWx1/p+9913PP300z7bJGaxWHj77bedTdvtgceAWB2f/HRgMvCOy7Z3Crf5wtCSFmg8AcRhnzPomWeeITk5Wbfy6BaATp48idVqJT7evWdgfHx8mWcGnjRpEllZWdx3333ObY0bNyYpKYlFixYxZ84cwsLCuO6669izZ895j5OXl0d6errbyRtmzZpVuLhpMLkNu0Ow7zbTeZulSkPyq10LwMSJE332Q/BCUlNT+fbbbwEYeFUWFUOlOaSsetTK45pKBeTn5/PZZ5/pXZxirFYr06ZNY8qUKVgsFtQVhXP7xJV+W3EBJlBXF3aQDlXs2bOHgQMHsn37dr1L5iY3N5eRI0fyww8/oAF3ALdJk1eZVCvsF1QLe2XFf/7zH3vtqQ50b2vRivR1UUoV21aSOXPmMHr0aObNm0fVqlWd29u3b89DDz1Es2bN6NSpE1999RUNGzbknXfeOe+xxo8fT2xsrPNUs2bNS39AZbR161bnRHh5dTuhwmNLuYXxFNRsjTWqKllZWYwdO9bv+gPNmzcPq9VK04oFXFtJVj+/GCYN+tSz1wL973//86kAnJubyyuvvOJcn892jQ1bhwBdzkIvCdj7UFVQnD17liFDhlxwgIw35efn8+KLL7J27VqCgPuBNhJ8LkoEGv2AJtiHyr/yyiusXLnS6+XQLQBVrlwZs9lcrLbn+PHjxWqFipo3bx79+/fnq6++omvXrhfc12Qy0aZNmwvWACUmJpKWluY8eXoIrtVqZfr06fa5fqo0xFrpSo/en9/STOTV74IyB/PXX3+xdOlSvUtUZmlpafz4448A9Kwj/X4uRZ0YK9fEFWCz2ZzTB+jNYrGQmJho/zI22TvwSpOXh4SDrYsNlaDIy8tj5MiRrF69WtciKaV488032bJlC6FQ+CUuT/6lCEbj30Ar7H/XsWPHen02eN0CUEhICK1atWLZsmVu25ctW0bHjh3Pe7s5c+bQr18/vvzyS2677bZS70cpRXJyMtWqVTvvPqGhocTExLidPGnp0qXs2bMHZQ4hv2Ybj96Xv1Oh0c5lQGbMmOHz0xk4rFixgtzcXGpHWbg6zjdrf3r27Mns2bPp2bMnmqZxNs/3PshvLwyPS5Ys0b0GUCnF5MmT2bRpEwSB9QYrqqY0a3pUENius2GrY3N+Seo5aeLHH3/M8uXLMQH/BmpL+LksJjTuABpjrwlKTEw87yhwz9y/joYNG8b//d//8cknn7Bjxw6ee+4556RYYK+Zefjhh537z5kzh4cffphJkybRvn17UlNTSU1NdRtON2bMGJYsWcL+/ftJTk6mf//+JCcnO4/pCxYsWABAQfVmEByuc2l8X0HCVdhCIjl58qTPVIOX5tChQwBcU8niszMa9OnTh1q1atGnTx+UUpzM1b1FvJgmFS2YNUVOTg7Hjx/XtSzz58/nhx9+AA2s7a1QWdfiXLSigZccvUtURiZQrRQq3l4TlJiYyOnTp71ejC1btji7LdyJfiO9Ao0JjXuBGkB6erpzMmDv3LeO+vTpw9SpU3nttddo3rw5q1evZvHixdSuXRuAlJQUtzT40UcfYbFYGDRoENWqVXOehgwZ4tzn7NmzPPHEEzRp0oRu3bpx9OhRVq9eTdu2bb3++Epy+PBhdu3ahUKjoEpDvYvjH0xBWAr/VsuXL9e5MGXjaEZNiPDdmW3nzZvH4cOHmTdvHpqmUTnM9/pYmTSIj7CXS8/ZobOzs5n5iX1KBtu1Njh/hbLPKhp48afJ1k1g62BDRStOnjzJvHnzvHr3FouFadOmAfb5bFpK+ClXIWg8AIRin1bip59+8sr96v6T7+mnn+bgwYPk5eWxadMmrr/+eud1SUlJbh2jVq5ciVKq2CkpKcm5z5QpUzh06BB5eXkcP36cJUuW0KFDBy8+ogtzTAVuja3uc7U/RX8havm+8wlpibP3k9q4caNfTJf/999/A/ZVz33VDz/8wEMPPcQPP/yAUooKPjpKLSHc/nzrGYB+/PFHsjKzUFEK1cA3/06lKRp4idC7RBcpuDB8Aou+X+TV5XK+//579u/fTzhw4V6n4lJFo9Gl8PxHH31EVlaWx+9T9wBkNI5O3yrc98bLFv2FqOX5zlIEKjzWXmtWUOCTi+oVFRRkn88pz4ezmmOWZV+fbTnfZv+1HRwcrFsZ/vvf/wKgGvpvh+eigRff+v1VNtVARSmyMrP45ZdfvHa3jhqJzthHMAnPaId9JomzZ8/y22+/efz+JAB5maPtWvlY7Q8U/4WoQqP0LtI5mglVOE/SqVOndC5M6Ro0aADAoUyzziXxb0rBoQz737B+/fq6lcPR+V7F+HZYvBB/CbwXpAGFY1S8NSAiMzOT3bt3A3CVV+6xfBSt0c/Qu0BlEIRG48Lzmzdv9vj9SQDyMses1VqB7zQvORT9hahCfKiO3GZDK7B/4FWsWFHnwpTO8WV9KENm9r4cp/M0MgpMmM0mrrxSv+kinLVPPlyjZxiFz4G3agT/+OMPbDYbldB3lueLVbRG/6zeBSqjuoX/e2OGaAlAXuaYZNGU7f1RDKXx5V+IWu5ZNBShoaFUruz7w28aN7b/jtl2MpjMAv/50PQ161LtswteeWU9QkNDdSvHFVdcAYB2SJ5LXWWDdsL+HDieE0/LybEPl/Oh+vAyKVqjX0HvApWR4+/sjRo+CUBe1qJFCwBM6Sk+1cfG1wWfsFdBt2zZEpMfLBbbokUL6tWrR45V48dD+n1x+7NsC/xwyN7s2bt3b13L0rdvXwBMh034zU/pAKT9qYHN/v665pprvHKflSpVAvCLJiRXRWv0o/UuUBk5/s6Ov7sn+f43SYCpVasWLVu2REMRnPqn3sXxD5Zcgk7YZ/Lu1auXvmUpI5PJRP/+/QFYejiMtHypObhYSw6HkVlgolatWtx88826lqVx48bceOONAJh+MYH8dvE6bYeG6ZD9K+vJJ58s05JJ5cFR45wO5Oq4ovrF8uUa/Qs5Ufi/BKAA1adPHwCCU//ClKnv5G7+IPTgOjRrHnXq1PGZ+ZzK4rrrrqNJkybk2TQ+3xWBn30O6epolokfC2t/Hn30UeeoOj09++yz1KpVCy1Hw7TC5BvLaxuBstf8mP60f1099thjNG3a1Gt3X716derUqYMF2OS1ezUmK4oNheevu+46j9+fBCAddOjQoXANM0XovlVgydetLCokkuzmfci+5h7ntuxr7iG7eR9USKRu5XIwn9pH0Kl9mEwmXnrpJcxm/xlVpWkazz77LGazmd/+CZGmsDLKKtCYsjWKXKtG8+bN6dKlS+k38oJKlSoxffp0rrzySrRcDdP/TGiHNfyoUsD/5IG2XsO041zNT79+/bxaBE3TuO+++wBYB1jkCfeYv4A0oEKFCl6p9ZUApJOhQ4dSqVIlTLlphO1eBjad1ovSTKjQaLch7yo0ChUaDZq+Lw9T+jF7QAQeeOABr/7qKy9XX321c6byeXvD2XpS35qMuFAbU65L483255aPebN9GlOuSyMuVP9JG20K3v8zktRsM/Hx8bz22ms+1ecrLi6OadOm0bRpU7QCDdN6E6Z1JvDVJerCwXqrFWu3c8PXrN2sWG+1+v48QMfAtNSE6YgJk8nEkCFDePDBB3Upys0330zFihVJA5boUoLAl4ZiceH5u+66yyuDHnznk8VgYmJiePPNN4mIiMCckULo3hVgkzG2DqbME4TtXoambFx//fXO/jT+6M477+T2229HofHen1EcztCvFstsgirhNiqHnws7lcNtVAm3Ydb500Ap+GJ3OFtPBRMaGsrrr79OhQoV9C1UCWJjY3n33Xd57LHHMJvNaEc1TEtNaAd9sDbIBEQWnhwcl3310z/HXutj/tWMlqtRu3Zt3n//fe65557Sb+shoaGhvPjiiwD8BmzzuSfav1lQzAOysE8h8sADD3jlfn31LWAIjRo1Yty4cQQHBxN05hBhu5aCVb/mMF9hPvs3YTt+RLMW0KJFC0aNGuVXTV9FaZrG0KFDufrqq8m2aLyxKYr96f77eDzBpuCzXeEsOWLv9zN8+HAaNWqkc6nOLygoiH79+vHRRx/Zm8TyNEy/mzAtM0EqvheE/EEBaH9omH8yYzpsr/W5//77+b//+z+fqP3t2LGjczTgd8AheZLLhQ3FIuAIEBUZydixY7025YUEIJ21bNmScePGERYWhjn9KGHbf/SpNbi8LejEHkJ3L0WzWWjVqhXjxo3Tdf6X8hISEsKECRO46qqryLKYGL85mt1nJQSBPfx8siOCZX+HoWkazz//vO6jvsqqYcOGfPzxxwwcOJDIqEi0NA3zGjOm1Sbw/RVbfIMVtD0apsUmTDtNYIVrr72W999/n6eeesqn3v+PPfYYbdq0IR/4FNgrIeiyWFB8DWzBPnJ2xMiRXpvfCSQA+YR27doxdepUYmNjMWefIuzPbzFl/KN3sbzLZiPk0G+E7l+Fpmx07dqVt956i8hI/Ttil5fo6GgmTZpEs2bNyLFoTNgSzfbT+o9u0pPFBh/9FcHKY6GYTCYSExO544479C7WRQkODuaBBx5g7py53HfffQQHB6Md1zAvN9uHzPv+yi36sBQGn59MmJJNaPkatWrVYty4cbzzzjs+UetTlNls5o033qBdu3YUALOB7T4UgmKAYcCzLtueLdwWo0uJzq8AxRzgT+w1qqNHj/bKyC9XmvK3SQK8ID09ndjYWNLS0oiJ8d7L5siRI4wYMYKDBw+iNBP5tdpjiW8C3pjvQqlzHbFNQd65T4eCbML2/A9zhn2h2IceeogBAwb4VOfX8pSbm8vLL7/Mxo0bMWuK/k2yub66d5s+c60wYIV9SZH/63KGMB0qo7IKNKb/Eclfp4Mxm82MGjXKOdeOP0tJSWHmzJksX74cm83e10pVVdia2qAy+iymagHzQvuTbL3LCnrm7gLQ9mlouzW0PPsfo0qVKvTr148ePXr4xJQHpcnPz2fs2LGsWrUKDbgRuB4w+chSGfkoxhaeHwWE+Ei5HM6gmAscw147/vrrr9O+fftyOfbFfH9LACqBXgEIIDs7mwkTJrBixQoALHF1yav7LwjynWrg8mRK+5vQfaswFeQQERHByy+/zPXXX693sTwuLy+PcePGOZ/n22vncl/9HExe+pzSOwClZpuYmBxFaraZ8LAwRo8ZQ4cOHbxbCA87cuQIX3zxBUuWLMFqtQ9wUJUUtsY2qIZ3g5AvBKA8e42PtldDK1weplq1ajz00EN0796dkJAQHQp16SwWC1OnTmXRokUANAbuBsJ9IGz4cgDaU9jslQPExsQw9vXXad68ebkdXwLQZdIzAIF95s6vvvqKDz/8EKvVii0kirz6XbBFx3u9LB5jsxL89yZCUrYBULduXV577TVq166tc8G8x2azMWvWLD799FMAWlXJ56mrsgjzwpeTUpBXOBAs1OTdCr/tp4OYti2SLIuJqlWr8uabb+q60runpaam8uWXX/Ljjz9SUFAA2FeVV40UqpbyTkcEPQNQFmi7NEwHTc6FTGvVqsVDDz1E165d/aLG50J++OEHpkyZQkFBAXFAH6C6zoHDFwOQFcVqYAX2MQKNGzdm7NixxMeX7/eaBKDLpHcActixYwevvfYaR48eBTTyr2hOQfUW4OdNQ1rOWUL3rcScdRKwL28xaNAgn+rs6E1Lly5lwoQJFBQUUCvKwtBrs6gaof+cPOVNKVj+dyizd4djVRpNmzbljTfe8MqU977g5MmTfP311yxatIisrCwAVLhCNVSoK5VnQ4keAegsaDs1TH+bnKPiGjduzAMPPECnTp38emRnUTt37mTUqFH8888/mIEuQCf0axLztQB0GsU32Ed6AfTs2ZPBgwd75DNfAtBl8pUABJCVlcWUKVNYunQpANbIKuTV64wKj9W1XJdEKYL+2U7IkQ1oNivR0dG8+OKLhmjyKs2ff/7JiBEjOHPmDJFBNp6+OotmlXWaHNMD8q0wa2cEa1LsH3hdu3blxRdfNGTozczM5LvvvuPrr7/m9OnTAKgQhapvP+GJP4k3A9AJMO00oaWe+9Jt27YtDzzwAC1atPDaGl7elpaWxttvv83q1asBqA3cA1TUIXz4SgBSKDYBPwH5QGRkJEOHDqV79+4eu08JQJfJlwKQw88//8ykSZPIzMxEmczk12qHpaqXOkiXAy0/i5D9awhK+xuANm3akJiY6FxoUMDx48d55ZVX2L59OxqK3vVyuaNOrr88xed1MsfE1G2RHMwIwmQy8eSTT/Lvf/87YL8IyyovL4+lS5fy5ZdfFtbyggpSqLr25rFynanZ0wFIAalg2mFCO2V/Xk0mE126dOH++++nYcOG5XyHvkkpxX//+1+mTZtGdnY2IcAtQGtA82II8YUAlF44v8+uwsvNmzfn5ZdfJiEhwbP3KwHo8vhiAAL7F+T48ePZtMm+JJ+lQk3y63ZChUToXLILM58+QOiBX9AseYSEhPDUU09x1113Bewor8uRn5/PtGnT+P777wFoXSWfJ6/KItxPu0n8dTqId/6IJLPARGxsLKNHj6ZVq1Z6F8unWK1WVq1axRdffMGePXvsG01gq2tDNVZQHm9vTwUgBaSA6S8T2ln7l2xwcDC33HIL999/PzVq1CinO/Ivx44dY9y4cWzbZu/jeCXQC+/VBikUBYXng/Fu+FIotmCv9cnFPsT98ccf57777vNKs6cEoMvkqwEI7B1nv/nmGz766CMKCgpQQWHkXdkJa0Uf7DxszSfk4DqCT9o/1Bs0aMCoUaOoU6eOvuXyA64dK6tHWhl6bSbVI/2nX5BS8NPhUObsCUeh0ahRI15//fVy7/AYSJRSbNiwgdmzZ7N161b7RhPYriwMQpdTI1TeAchR4/OXCe2M/cs1PDycO++8k/vuu09qdrEH2wULFjBjxgzy8vIIBroBbfGd4fLlLQ3Ft8DewsuNGzcmMTGRunXreq0MEoAuky8HIIf9+/fz+uuvs3ev/aVWULUJ+bXb2efw8QGmzBOE7l2BKS8dk8nEgw8+SL9+/QgODta7aH5j+/btjBo1ihMnThAepBh4VRatqhSUfkOd5Vrh/7ZH8ts/9mHNPXr0YNiwYYbs73OptmzZwsyZM501CJjBVs+GaqLgUkaLK5wjsDBzeUPwT4BpmwnttP0gYWFh3HPPPfTp08cn127T29GjR5kwYQLJycmAvW9QL6ByAIUgW2FfnyVAHvZawAEDBnDvvfd6fZSfBKDL5A8BCOzNJR9//DHz5s0DwBZekdz6N6IiKupXKKUITvmD4L83oikbVatWZdSoUTRr1ky/Mvmx06dP88orrzi/CO+qm8NdV+Z6bb6gi3U828SUbZEcyQzCbDYzePBgevXqZfj+PpdCKcXmzZuZOXMmf/75p31biEJdVThqzNstyJmFweeo/bkMDQ3lrrvu4v7776diRR0/c/yAzWbju+++48MPPyQnJ4cg4CagA2D28yB0urDW50Dh5auvvpqXXnqJWrVq6VIeCUCXyV8CkMOGDRsYN24cp0+fRpmCyKv7L6yVdZhXxZJH6L5VBJ09DEDnzp154YUXiI6O9n5ZAojFYuG9995j/vz5ALSpks+TV2fpMnvzhew4Y5/fJ7PARFxcHK+99hrXXnut3sXye0op1q9fzwcffMCBA/avGRWjsDWzgWf7k9oVFA5n320Cm71zc8+ePenXr59hpjAoL6mpqbz99tv8/vvvAFwB3AXE+2EIsqH4DVgOFGCvCXziiSe46667dJ3iQALQZfK3AARw5swZxo4dy8aNGwEoqNqY/NodwOSdF6Ip6yShe37GlJdBcHAwQ4YMoWfPnvLLvxz997//5e2336agoIA60RaGNcskLsw33r6rjoXwyY4IrEqjcePGvPHGG1SpUkXvYgUUi8XC999/z8xPZpKelg6ArbYN1fwSm8XK4h8w/W5Cy7G/j1u3bs0zzzzDlVde6aE7DHxKKX766SfefecdMrOyMGOvDboO/+kbdBrFAuBQ4eWWLVsyfPhwqlevrmexAAlAl80fAxDYO919+umnfPrppyilsEbHk9vgZggO8+j9mk8dIHT/SjSblWrVqvHaa6/RqFEjj96nUf3xxx+MGDGCs2fPUiHExrDmmVwZYy39hh5iUzBvbzg/HrK/xrp06cLLL78s/X08KCMjg1mzZrFgwQJsNhsqTGFrU861QRbQtmmY9tnb2apVq8bgwYPp2LGj/KgpJydPnuTtt99m3bp1ANTEvpSGL/cNsqH4HViKfV6fsLAwBg0axB133OEzrwsJQJfJXwOQw2+//caYMWPIysrCFhpNbsNunukXpBTBx5IJ+ds+LL9du3a88sor0uTlYSkpKbz00kscOHCAEJPi2WuyaKFD5+h8K3zwZyS/n7BXP/Tr149+/frJ9AZe8ueffzJu3Dj+/ts+t5atXmFt0OX++c+Caa0JLcv+hdarVy8GDhxIRIRvT7fhjxy1QdOnTyc7O5sgoAfQBu8OXS+LjMJaH8cIr+bNm/PSSy/5RK2PKwlAl8nfAxDAwYMHeemllzh27BjKHEJuo+7lu5aYshFycC3Bx3cC0Lt3b55++mm/X9fHX2RlZTF69GjWr1+PWVM8eVUWHRO8F4JyLTBlWxR/nQ4mODiYl156iZtvvtlr9y/scnNzmTFjBt988w0AqorC1tF26U1iR8G8wQwWiI+P58UXX6R169blV2BRon/++YcJEyY4uzA0wT5SLMJHQtDuwvCThb3z+5NPPsndd9/tkz92JABdpkAIQABnz57l5Zdf5s8//0SZgshteDO22Csu/8A2G6H7VxF0ah+apvHcc8/Rq1evyz+uuCgWi4U333yTpUuXoqF4pHE2XWvke/x+Mws03t4Sxb70IMLDwxk/fjwtW7b0+P2K81u3bh1jxowhOzsbFaWw/csGF1MRqwoXLP3D/oXWunVrxowZI7W5XuSY4+3DDz/EYrEQA9wL1NExBFlQLAPWFl6uV68er776qk/P5SYB6DIFSgACyMnJYcSIEWzcuBGlmclt1O3yQpCyEbp3BUGnD2A2mxk5ciQ33XRT+RVYXBSbzca0adNYuHAhAPfVz+aOOnkeu7+0PI3xm6P5O8tMTEwMb731Fk2bNvXY/Ymy279/Py+99BKpqan2fkFdbBBVtttqOzRMf9rDT69evRg8eLDU5upk165djBkzhr///hsN6A50xPtNYuko5gB/F16+5557GDhwoM/375MAdJkCKQCBfb6g0aNH88svv6BMweQ2uRVb1CWM0FGKkIO/Enx8J8HBwYwdO5aOHTuWf4HFRVFKMXPmTD777DMA+jbMpnut8g9BWQUab2yK4nBmEJUqVWLy5MleneFVlO7MmTMMGzaMffv2oSIVthttUMoYCG2fhmmzPfw89dRT3H///V4oqbiQ7OxspkyZwpIlSwC4FnuTWLCXQtDhwvCTCURHR/Pyyy9z3XXXeeW+L9fFfH/r3oD3/vvvU7duXcLCwmjVqhVr1qy54P6rVq2iVatWhIWFceWVV/Lhhx8W22f+/Pk0bdqU0NBQmjZt6vx1bFQhISGMHj2ali1botkKCNu1BC03/aKPE3x0C8HHd6JpGqNGjZLw4yM0TWPAgAH0798fgM93R/BrSvmOi86zwqStkRzODCIuLo533nlHwo8PqlixIm+//TbVq1dHy9IwrTGdmwG6JCk4w8/DDz8s4cdHRERE8PLLLzNkyBBMJhPbgP/DvtSEp21C8Qn28FO3bl1mzJjhN+HnYukagObNm8fQoUMZMWIEW7ZsoVOnTvTo0YPDhw+XuP+BAwe49dZb6dSpE1u2bOHll19m8ODBzgniwN4W3qdPH/r27cvWrVvp27cv9913H+vXr/fWw/JJISEhjBs3jkaNGqFZcgnd8zPYLGW+vfnMYUKObgZg2LBhdO7c2UMlFZfq4Ycfpnfv3gDM2B7BlpPl04RhscE7f0Sy+2wwUZGRTJw40bCLXPqDypUrM3nyZCpUqIB2VkP76zy1Bnn2OX4Aevbs6QzQwjdomsY999zDlClTiI2N5RjwMXDSQyFIoVhVOKuzFbj++uv54IMPuOKKcug36qN0bQJr164dLVu25IMPPnBua9KkCb169WL8+PHF9n/xxRdZtGgRO3bscG4bOHAgW7dudc6l0KdPH9LT0/npp5+c+9xyyy1UrFiROXPmlKlcgdYE5ur48eMMGDCAs2fPUlClIflXXl/qbbTcDML/XIhmzefuu+9m6NChni+ouCQ2m41x48axdOlSQkyK0W0yqBV9efMEzdoZzs9/hxESEsLkyZNldmc/8csvv/Dyyy8DYO1ihSLrk2rrNEx/m6hTpw4ff/yxz/ftMLKUlBSef/55jhw5QiTwMFC9HJvDbCiWcK6zc9++fRkwYIDPzO1zMfyiCSw/P59NmzbRrVs3t+3dunVj7dq1Jd5m3bp1xfbv3r07GzdupKCg4IL7nO+YRlO1alVeffVVTCYTwSd2Yz575MI3UIrQA2vQrPlcddVVDBo0yDsFFZfEZDLx0ksv0bZtW/JtGtP/iCS77BV9xaxNDebnv8PQNI0xY8ZI+PEj//rXv7jlllsAMCWbcKs4OAmmv02YTCZGjBgh4cfHVatWjXfffZeGDRuSBXwCHCmnmiCFYhHnws8zzzzD448/7pfh52LpFoBOnjyJ1WolPt59bpr4+HhSU1NLvE1qamqJ+1ssFk6ePHnBfc53TIC8vDzS09PdToGsVatW3HvvvQCEHPgFrOcfOh10cg/m9GOEhoYycuRIWc3dDwQFBTFq1Cj76z7bzP9tj+RS6nmPZpmYuSMSsDevBWo/gEA2cOBAQkJC0M5ocPzcdtMO+0f/bbfdJrO2+4mKFSsybdo0mjdvTh7wOXC8HELQUmAT9h9PiYmJ3HfffZd9TH+heyfooilTKXXB5FnS/kW3X+wxx48fT2xsrPNUs2bNMpffXz322GMkJCRgys8iOOWPkneyFhByeAMAjz76aEC3BQea2NhYxowZQ1BQEBuOh7D874v7hZ9vhenbosizarRq1Yp+/fp5pqDCo+Li4ujZsycApp2FH/dpoKVqmEwmHnjgAR1LJy5WZGQkEyZMoGnTpuQAnwJnLyME/YLil8Lzw4cPp0ePHuVRTL+hWwCqXLkyZrO5WM3M8ePHi9XgOCQkJJS4f1BQkHNV4vPtc75jAiQmJpKWluY8HTlSSrNQAAgPD+fpp58GIDj1TyjILbZP8D/b0Sy5XHHFFYb6VRAomjZtylNPPQXA3L3hnMote5X2ooNhHM0yExcXx6hRo3Rd3VlcHkdtr3ZCg1zQDttfB9ddd538qPFD4eHhTJgwgdq1a5OOvSYo/xJC0PbCfj9gn/7g1ltvLc9i+gXdAlBISAitWrVi2bJlbtuXLVt23uHVHTp0KLb/0qVLad26tbNp5nz7XGjIdmhoKDExMW4nI7j++utp0KABmrWA4H/+cr/SZiE4ZRtgX+NJJkXzT/fccw9XX301eVaNL3aXbS2n1GwTPxy0Tx4zdOhQ4uLiPFlE4WHVq1e3N3Mp0I5paH/bA1CXLl10Lpm4VLGxsUycOJG4uDiOAz9e5O3PoHBMDnPPPfcYdvoDXZvAhg0bxv/93//xySefsGPHDp577jkOHz7MwIEDAXvNzMMPP+zcf+DAgRw6dIhhw4axY8cOPvnkE2bOnMnzzz/v3GfIkCEsXbqUCRMmsHPnTiZMmMDy5ctl5FIJTCYTDz74IABBx3eCzea8LujUATRLHgkJCXTt2lWvIorLZDKZGDZsGCaTiQ3HQ/jj1IWDrFLw6a4ILEqjTZs23HDDDV4qqfCkf/3rXwBoBzS0THvzV4cOHXQulbgc8fHxvPLKK5hMJjYDW8pYC2RBMQ/IBcMPbNE1APXp04epU6fy2muv0bx5c1avXs3ixYupXbs2YB/65zonUN26dVm8eDErV66kefPmjB07lunTp3PPPfc49+nYsSNz585l1qxZXHvttSQlJTFv3jzatWvn9cfnDzp16kRcXBymghzMZ8/9rYNO2Bc57dmzpzR/+Ln69etz9913A/DlnvALdoj+83QQf5yyL3A6dOhQQ4wEMYJrrrkGAO20/fmsV68ekZGRehZJlIOWLVs6++f9iH3F9tL8AhzFPsPz6NGjDV27L0thlCCQ5wEqyXvvvce8efOwVKpHXv0uaPnZhG/5Eg37rNpVqlzCshnCp2RkZNC7d29ycnJ4oXkGzSqXPDb+zc1R/Hk6mHvuuYchQ4Z4uZTCU7Kysrj11ludg0Z69uzJCy+8oHOpRHmwWq089dRT7Ny5k+bAPReYH+gsiulAATBy5MhiU8YEAr+YB0j4jk6dOgFgPrWfiI2fE771azTsk1JK+AkM0dHR3HHHHQB8f7DkxaEOpJv583QwJpOJPn36eLN4wsMiIyN56qmnaN68OR06dHB2jBb+z2w2O2trk4FDF6gF+gl7+GnevDk333yzl0rouyQACa666ipq1aqFhkKz5qHZ7JNKGnFUQCC79957CQoKYufZYPalFW/WXHzIHoxuuukmEhISvF084WH//ve/mT59OhMmTKBOnTp6F0eUo6ZNmzo/r1eeZ59UFNux9wscMmSING8Dxm38E05ms5mZM2fyzz//OLeFhoZecOoA4X+qVq1K586dWb58Ob+mhlAvNsd5XY4FNp6wj6SUKQ+E8D99+/blp59+Yq/NRgqKakWawhzz/dxwww3Uq1fP+wX0QVIDJAB74KlVq5bzJOEnMDmqvTf8E4LNpaZ884kQCmwaNWvWpGHDhjqVTghxqapXr86NN94IwK9FrktH4Zju1qhD3ksiAUgIA2ndujXR0dGczTex88y5CuDf/rHX/tx4441SNS6En+rduzcA24E8l75AfwA27KMBGzdurEvZfJEEICEMJDg42NnpfctJe+jJt8Kfp+3nZXI8IfxXkyZNuOKKKygAdrps31b4v3R8dicBSAiDadWqFQA7z9prgPanB1Fg04iLi6Nu3bp6Fk0IcRk0TeOmm24CwDG3/xkUx7B3fu7cubNeRfNJEoCEMJhrr70WgEMZZv46HeRs/mrWrJk0fwnh5xzLPh0EbCj2F26/6qqrqFChgk6l8k0yCkwIg4mPj3cuGjx+c7RzuyMYCSH8V8OGDYmIiCA7O5uPgbTC7S1atNCzWD5JaoCEMKB+/fpRu3ZtatasSc2aNWnWrJmz6lwI4b+CgoKcSz/9DWQUbpe134qTpTBKYLSlMIQQQgSOzMxMtmzZgtVqBaBKlSpcddVVOpfKOy7m+1uawIQQQogAEhUV5RztKc5PmsCEEEIIYTgSgIQQQghhOBKAhBBCCGE4EoCEEEIIYTgSgIQQQghhOBKAhBBCCGE4EoCEEEIIYTgSgIQQQghhOBKAhBBCCGE4EoCEEEIIYTgSgIQQQghhOBKAhBBCCGE4EoCEEEIIYTiyGnwJlFIApKen61wSIYQQQpSV43vb8T1+IRKASpCRkQFAzZo1dS6JEEIIIS5WRkYGsbGxF9xHU2WJSQZjs9k4duwY0dHRaJqmd3G8Jj09nZo1a3LkyBFiYmL0Lo7wMHm+jUWeb2Mx6vOtlCIjI4Pq1atjMl24l4/UAJXAZDJRo0YNvYuhm5iYGEO9YYxOnm9jkefbWIz4fJdW8+MgnaCFEEIIYTgSgIQQQghhOBKAhFNoaCivvvoqoaGhehdFeIE838Yiz7exyPNdOukELYQQQgjDkRogIYQQQhiOBCAhhBBCGI4EICGEEG5Gjx5N8+bN9S6GEB4lAcgHdO7cmaFDh+pdDK+oU6cOU6dO1bsYfqvoayVQ/p4rV65E0zTOnj2rd1EMR9M0vv32W7dtzz//PD///LM+BRIXpWhY7devH7169fLa/fvze1cmQhRe9fvvvxMZGal3MQJGoPw9O3bsSEpKSpknMBOeFRUVRVRUlN7FEH7An9+7UgPk55RSWCwWvYtRZlWqVCEiIkLvYgSMQPl7hoSEkJCQYKilZzp37szgwYMZPnw4cXFxJCQkMHr0aOf1aWlpPPHEE1StWpWYmBhuvPFGtm7d6naM119/napVqxIdHc2AAQN46aWX3GoDfv/9d26++WYqV65MbGwsN9xwA5s3b3ZeX6dOHQDuuusuNE1zXnatVViyZAlhYWHFfuEPHjyYG264wXl57dq1XH/99YSHh1OzZk0GDx5MVlbWZf+dhG/z5/euBCAfM3v2bFq3bk10dDQJCQk88MADHD9+3Hm9o7pxyZIltG7dmtDQUNasWUNGRgYPPvggkZGRVKtWjSlTphRrLsnPz2f48OFcccUVREZG0q5dO1auXFnmsn388cfUrFmTiIgI7rrrLiZPnkyFChWc1+/bt48777yT+Ph4oqKiaNOmDcuXL3c7RtEmG03T+L//+z/uuusuIiIiaNCgAYsWLbrYP5vuOnfuzLPPPsvQoUOpWLEi8fHxzJgxg6ysLB599FGio6OpV68eP/30k/M227dv59ZbbyUqKor4+Hj69u3LyZMnnddnZWXx8MMPExUVRbVq1Zg0aVKx+3X9ex48eBBN00hOTnZef/bsWTRNcz7Prq+fFi1aEB4ezo033sjx48f56aefaNKkCTExMdx///1kZ2eX6bGX5bVX1te140s2KSmJChUqsGTJEpo0aUJUVBS33HILKSkpZSqTv/j000+JjIxk/fr1vPXWW7z22mssW7YMpRS33XYbqampLF68mE2bNtGyZUtuuukmTp8+DcAXX3zBG2+8wYQJE9i0aRO1atXigw8+cDt+RkYGjzzyCGvWrOG3336jQYMG3Hrrrc4Fn3///XcAZs2aRUpKivOyq65du1KhQgXmz5/v3Ga1Wvnqq6948MEHAfjjjz/o3r07d999N9u2bWPevHn88ssvPPPMMx75u/myb775hmuuuYbw8HAqVapE165dycrKcjZNjRs3jvj4eCpUqMCYMWOwWCy88MILxMXFUaNGDT755BO347344os0bNiQiIgIrrzySkaNGkVBQUG5lNXw710ldHfDDTeoIUOGKKWUmjlzplq8eLHat2+fWrdunWrfvr3q0aOHc98VK1YoQF177bVq6dKlau/everkyZNqwIABqnbt2mr58uXqjz/+UHfddZeKjo52HlcppR544AHVsWNHtXr1arV371719ttvq9DQULV79+5Sy/jLL78ok8mk3n77bbVr1y713nvvqbi4OBUbG+vcJzk5WX344Ydq27Ztavfu3WrEiBEqLCxMHTp0yLlP7dq11ZQpU5yXAVWjRg315Zdfqj179qjBgwerqKgoderUqUv+e+rhhhtuUNHR0Wrs2LFq9+7dauzYscpkMqkePXqoGTNmqN27d6unnnpKVapUSWVlZaljx46pypUrq8TERLVjxw61efNmdfPNN6suXbo4j/nUU0+pGjVqqKVLl6pt27ap22+/XUVFRbk9p65/zwMHDihAbdmyxXn9mTNnFKBWrFihlDr3+mnfvr365Zdf1ObNm1X9+vXVDTfcoLp166Y2b96sVq9erSpVqqTefPPNMj32srz2yvq6PnPmjFJKqVmzZqng4GDVtWtX9fvvv6tNmzapJk2aqAceeOCinhdfdsMNN6h//etfbtvatGmjXnzxRfXzzz+rmJgYlZub63Z9vXr11EcffaSUUqpdu3Zq0KBBbtdfd911qlmzZue9T4vFoqKjo9X333/v3AaohQsXuu336quvuh1n8ODB6sYbb3ReXrJkiQoJCVGnT59WSinVt29f9cQTT7gdY82aNcpkMqmcnJzzlifQHDt2TAUFBanJkyerAwcOqG3btqn33ntPZWRkqEceeURFR0erQYMGqZ07d6qZM2cqQHXv3l298cYbzs+N4OBgdfjwYecxx44dq3799Vd14MABtWjRIhUfH68mTJjgvL7oc/XII4+oO++8s0zlNfp7VwKQD3ANQEVt2LBBASojI0Mpde7F9u233zr3SU9PV8HBwerrr792bjt79qyKiIhwHnfv3r1K0zR19OhRt+PfdNNNKjExsdQy9unTR912221u2x588EG3AFSSpk2bqnfeecd5uaQANHLkSOflzMxMpWma+umnn0otky8p+mVmsVhUZGSk6tu3r3NbSkqKAtS6devUqFGjVLdu3dyOceTIEQWoXbt2qYyMDBUSEqLmzp3rvP7UqVMqPDy8XALQ8uXLnfuMHz9eAWrfvn3ObU8++aTq3r17qY+7LK+9kpzvde36IQqovXv3Om/z3nvvqfj4+FLL5C9uuOEG9fTTT7ttu+OOO9Sjjz6q3nrrLWUymVRkZKTbyWQyqeHDhyullKpQoYL69NNP3W7/3HPPuX0Z/vPPP+rJJ59UDRo0UDExMSoyMlJpmqbee+895z5lCUDr169XJpPJ+fnx8MMPq169ejmvb9q0qQoJCXEra0REhALU9u3bL+fP5Fc2bdqkAHXw4MFi1z3yyCOqdu3aymq1Orc1atRIderUyXnZ8bkxZ86c897HW2+9pVq1auW8fKkBSN67SkknaB+zZcsWRo8eTXJyMqdPn8ZmswFw+PBhmjZt6tyvdevWzvP79++noKCAtm3bOrfFxsbSqFEj5+XNmzejlKJhw4Zu95eXl0elSpVKLdeuXbu466673La1bduWH374wXk5KyuLMWPG8MMPP3Ds2DEsFgs5OTkcPnz4gse+9tprnecjIyOJjo52q2L1F66Pw2w2U6lSJa655hrntvj4eACOHz/Opk2bWLFiRYkdTfft20dOTg75+fl06NDBuT0uLs7tOS2vssbHxzur1123bdiwodTjlOW1B2V/XbuKiIigXr16zsvVqlXzy9fFhQQHB7td1jQNm82GzWajWrVqJTZRuzY7F+13oYpM7N+vXz9OnDjB1KlTqV27NqGhoXTo0IH8/PyLKmfbtm2pV68ec+fO5amnnmLhwoXMmjXLeb3NZuPJJ59k8ODBxW5bq1ati7ovf9asWTNuuukmrrnmGrp37063bt3o3bs3FStWBOCqq67CZDrX8yQ+Pp6rr77aednxueH6Ov/mm2+YOnUqe/fuJTMzE4vFUi6ru8t7V0aB+ZSsrCy6detGt27dmD17NlWqVOHw4cN079692AeW68gfx4fehT4MbTYbZrOZTZs2YTab3fYry2gPpVSpH7YvvPACS5YsYeLEidSvX5/w8HB69+5d6oft+b4E/E1Jj8N1m+Pv5/iC69mzJxMmTCh2nGrVqrFnz56Lvn/HB6vr83K+vgJFy3Wpz0FZXnsX87o+Xxkd91H0NReoWrZsSWpqKkFBQc6OyUU1atSIDRs20LdvX+e2jRs3uu2zZs0a3n//fW699VYAjhw54tbPDOx/Z6vVWmqZHnjgAb744gtq1KiByWTitttucyvvX3/9Rf369cv6EAOS2Wxm2bJlrF27lqVLl/LOO+8wYsQI1q9fD5T+GeHY5njv/fbbb/z73/9mzJgxdO/endjYWObOnVtif8CLJe9d6QTtU3bu3MnJkyd588036dSpE40bNy5Taq5Xrx7BwcFuv9jT09PdvkRbtGiB1Wrl+PHj1K9f3+2UkJBQ6n00bty4WI1ASR+2/fr146677uKaa64hISGBgwcPlnpsI3J8YdSpU6fY8xEZGUn9+vUJDg7mt99+c97mzJkz7N69+7zHrFKlCoBbZ0PXDtGeUJbX3qW+ro2sa9eudOjQgV69erFkyRIOHjzI2rVrGTlypPN99+yzzzJz5kw+/fRT9uzZw+uvv862bdvcvtDq16/P559/zo4dO1i/fj0PPvgg4eHhbvdVp04dfv75Z1JTUzlz5sx5y/Tggw+yefNm3njjDXr37k1YWJjzuhdffJF169YxaNAgkpOT2bNnD4sWLeLZZ58t57+M79M0jeuuu44xY8awZcsWQkJCWLhw4SUd69dff6V27dqMGDGC1q1b06BBAw4dOlQu5ZT3rgQgn1KrVi1CQkJ455132L9/P4sWLWLs2LGl3i46OppHHnmEF154gRUrVvDXX3/x2GOPYTKZnB+GDRs25MEHH+Thhx9mwYIFHDhwgN9//50JEyawePHiUu/j2WefZfHixUyePJk9e/bw0Ucf8dNPPxX7sF2wYAHJycls3bqVBx54wC9rcrxh0KBBnD59mvvvv58NGzawf/9+li5dymOPPYbVaiUqKor+/fvzwgsv8PPPP/Pnn3/Sr18/t+rzosLDw2nfvj1vvvkm27dvZ/Xq1YwcOdKjj6Msr71LfV0bmaZpLF68mOuvv57HHnuMhg0b8u9//5uDBw86m1IffPBBEhMTef7552nZsiUHDhygX79+bsHkk08+4cyZM7Ro0YK+ffsyePBgqlat6nZfkyZNYtmyZdSsWZMWLVqct0wNGjSgTZs2bNu2zTn6y+Haa69l1apV7Nmzh06dOtGiRQtGjRpFtWrVyvGv4vvWr1/PuHHj2LhxI4cPH2bBggWcOHGCJk2aXNLx6tevz+HDh5k7dy779u1j+vTplxymipL3rgQgn1KlShWSkpL4+uuvadq0KW+++SYTJ04s020nT55Mhw4duP322+natSvXXXcdTZo0cfswnDVrFg8//DD/+c9/aNSoEXfccQfr16+nZs2apR7/uuuu48MPP2Ty5Mk0a9aM//73vzz33HNux58yZQoVK1akY8eO9OzZk+7du9OyZcuL/0MYQPXq1fn111+xWq10796dq6++miFDhhAbG+sMOW+//TbXX389d9xxB127duVf//oXrVq1uuBxP/nkEwoKCmjdujVDhgzh9ddf9/hjKe21dzmv60C2cuXKYrN4f/vttyQlJQH2L6jp06dz9OhR8vPzOXz4MLNnz3Z7v44aNYoTJ06QkZHBzJkz2b59u1szVIsWLfj999/Jzc1l9+7d9O7dm4MHD7oNc+7Zsyd79uyhoKDAWWPr6PNR1IYNG1BK0aVLl2LXtWnThqVLl5KRkUFmZiZbt27l5ZdfvuS/jz+KiYlh9erV3HrrrTRs2JCRI0cyadIkevTocUnHu/POO3nuued45plnaN68OWvXrmXUqFHlVl6jv3c15YsNc+KyZWVlccUVVzBp0iT69+/vkft4/PHH2blzJ2vWrPHI8YV/8sZrT0B2djYffvgh3bt3x2w2M2fOHOc8Ql27dtW7eMIPGe29K52gA8SWLVvYuXMnbdu2JS0tjddeew2w/4IoLxMnTuTmm28mMjKSn376iU8//ZT333+/3I4v/JM3XnuiOEcz2euvv05eXh6NGjVi/vz5En5EmRn9vSsBKIBMnDiRXbt2ERISQqtWrVizZg2VK1cu02179Ohx3pqcl19+mZdffpkNGzbw1ltvkZGRwZVXXsn06dMZMGBAeT4E4WMuNNQV7LNZw+W99sSlCQ8PLzbTuhAO8t4tnTSBCQCOHj1KTk5OidfFxcURFxfn5RIJX2CxWC44kq9OnToEBcnvKCF8jbx3SycBSAghhBCGI6PAhBBCCGE4EoCEEEIIYTgSgIQQQghhOBKAhBCGtnLlSjRN4+zZs3oXRQjhRdIJWghhaPn5+Zw+fZr4+PhiC0MKIQKXBCAhhBBCGI40gQkh/FpGRgYPPvggkZGRVKtWjSlTptC5c2fnelezZ8+mdevWREdHk5CQwAMPPOC2onXRJrCkpCQqVKjAkiVLaNKkCVFRUdxyyy2kpKTo8OiEEJ4iAUgI4deGDRvGr7/+yqJFi1i2bBlr1qxh8+bNzuvz8/MZO3YsW7du5dtvv3Wumn4h2dnZTJw4kc8//5zVq1dz+PBhnn/+eQ8/EiGENxl7GkghhF/LyMjg008/5csvv+Smm24CYNasWVSvXt25z2OPPeY871jCpW3btmRmZhIVFVXicQsKCvjwww+pV68eAM8884xznSQhRGCQGiAhhN/av38/BQUFtG3b1rktNjaWRo0aOS9v2bKFO++8k9q1axMdHU3nzp0B+1pJ5xMREeEMPwDVqlVzazYTQvg/CUBCCL/lGMNRdPSWY3tWVhbdunUjKiqK2bNn8/vvv7Nw4ULA3jR2PsHBwW6XNU1DxosIEVgkAAkh/Fa9evUIDg5mw4YNzm3p6ens2bMHgJ07d3Ly5EnefPNNOnXqROPGjaUmRwgBSB8gIYQfi46O5pFHHuGFF14gLi6OqlWr8uqrr2IymdA0jVq1ahESEsI777zDwIED+fPPPxk7dqzexRZC+ACpARJC+LXJkyfToUMHbr/9drp27cp1111HkyZNCAsLo0qVKiQlJfH111/TtGlT3nzzTSZOnKh3kYUQPkAmQhRCBJSsrCyuuOIKJk2aRP/+/fUujhDCR0kTmBDCr23ZsoWdO3fStm1b0tLSnMPV77zzTp1LJoTwZRKAhBB+b+LEiezatYuQkBBatWrFmjVrqFy5st7FEkL4MGkCE0IIIYThSCdoIYQQQhiOBCAhhBBCGI4EICGEEEIYjgQgIYQQQhiOBCAhhBBCGI4EICGEEEIYjgQgIYQQQhiOBCAhhBBCGI4EICGEEEIYzv8DNAAu8XAG8A0AAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.violinplot(x='gain',y='vol', data = df)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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wffr0Rv/aOOJDRFQHOjXwz/gKaFUKEhMTsWzZMtGRiBrNnj178MADDyA6Ohr+/v7o27cvACA7O7vW87p3725/+/jx4zCbzejRo4f9voCAALRt29b+fmpqKhRFQZs2beDn52e/bd68GceOHWvcL+o8jvgQEdVRCz8LhraqxJeH/TB//nx06NAB8fHxomMRNajKykr0798f/fv3x9dff40mTZogOzsbd955J0wmU63n+vr62t++sJD64pHQPy+wtlqtUKvVSElJueRqsz+PJDUmjvgQEV2Dfs2MuDHMCIvFgsmTJ3O9D7mdgwcPoqCgADNnzkSfPn3Qrl27Wgubr6Rly5bQarVISkqy31dWVlZr7U6XLl1gsViQn5+PVq1a1bqFh4c3ytdzMRYfIqJrIEnAE+0qEO5jwblz5/D2229f80ZxRM6sRYsW0Ol0+Oijj3D8+HGsXLkSb7311l9+nL+/P0aNGoV///vf2LhxIzIyMvDEE09ApVLZR4HatGmD4cOHY+TIkfjhhx+QlZWF3bt3Y9asWfj1118b+0sDwOJDRHTNvDXA+I7l0KkU7N69G4sWLRIdiVyERQFka+PfLNexfU+TJk3w+eef4/vvv0eHDh0wc+ZMvPvuu3X62Dlz5qBXr14YMGAAbr/9dvTu3Rvt27evtfHnokWLMHLkSLz44oto27Yt7r//fuzatQtRUVH1D30NJMVRuxu5iLKyMgQEBKC0tBQGg0F0HCJqQIMHD0ZBQQGm/q0EMf7XP0qzI0+H+Qf8AQBvvfUW+vTpc92fk1xfTU0NsrKyEBsba3/B99SdmysrK9GsWTO89957GD169HV/vsv93V5Q19dvLm4mIqqnm8JNyCqvxu853pgxYwZatGiB6Oho0bHICanVaiz5/geH7aQM2BYZO7r07NmzBwcPHkSPHj1QWlqKqVOnAgAeeOABh+a4GhYfIqLr8GjLKpws1+BgSRUmTpyIefPmOezqFHItnnJm1rvvvotDhw5Bp9OhW7du2Lp1K0JDQ0XHsuMaHyKi66BRAeM6liNYb0FOTg6mTZvGxc7ksbp06YKUlBRUVFSgqKgIa9euRadOnUTHqoXFh4joOhl0Cv7VqRxalYKdO3dysTORE2PxISJqALEGC0a3qwBgO+DRkYcuknPitUMNryH+Tll8iIgayE3hJtzdohoAMHPmDBw9elRwIhLhwlqei3c5putXVVUFANBqtfX+HFzcTETUgB5tWYWcCjXSi4CJEydi/vz5CAwMFB2LHEij0cDHxwfnzp2DVquFSsUxhuulKAqqqqqQn5+PwMDA61oozuJDRNSAVBLwbHwF/pMcgLy8PEydOhWzZ8+GRsMft55CkiREREQgKysLJ0+eFB3HrQQGBl730Rb8TiQiamC+WgUTOpVjakoAUlNT8cknn+CZZ54RHYscSKfToXXr1pzuakBarbZBtgRg8SEiagTN/SwY274CH6X7Y+nSpWjbti369esnOhY5kEqlumR3YRKPE49ERI3kb2EmDIi2LXaePXs2jh07JjgREbH4EBE1osFxVegYbILRaMSbb76JiooK0ZGIPBqLDxFRI1JJwD/jKxCit+D06dOYPXs293chEojFh4iokflrFYzrVAG1pGDLli1YtmyZ6EhEHovFh4jIAVoaZAxrbdt8bf78+Thw4IDgRESeicWHiMhBbm9Wgx5hRlgsFkybNs2+Cy0ROQ6LDxF5BEVR7GtrRC2xkSTgH20rEaK34MyZM/jwww/FBCHyYCw+ROQRampqUFhYCAAwW8Xl8NUqeDq+AhIU/P7771i/fr24MEQeiMWHiMjB2gbKeCDGtr/PBx98YC9kRNT4WHyIyCP8+uuvoiPUcn9MNWL8ZZSXl2POnDm8xJ3IQVh8iMjtnT59Gh999JHoGLVoVMDY9rZL3Ldv384pLyIHYfEhIre3detW0REuK8rPgoHnp7zmzp2L0tJSwYmI3B+LDxG5NUVR8Ntvv4mOcUX3RlcjyldGWVkZFixYIDoOkdtj8SEit5aUlISTJ09CkdSio1yWRgWMbFsJAPjll1+4sSFRI2PxISK3ZbVa7aMo5iZtBKe5sraBMm4Or4GiKPjggw9gtQq83p7IzbH4EJHbWrZsGY4ePQpFrYWpaSfRca5qSKsq+GisOHz4MNatWyc6DpHbYvEhIrd05MgR+2iPsfnfoGj1ghNdnUGnYEC0baHzwoULYTQaBScick8sPkTkdgoLC/H666/DbDZDDoiCuUlb0ZHqpH/zGgTrLTh79ixWrFghOg6RW2LxISK3UlhYiBdffBHnzp2DxSsA1XG32A7JcgE6NfBQnG3U59tvv+UhpkSNgMWHiNxGXl4eJkyYgBMnTsCq9UF16zsAjXNPcV2sd7gR4T4WlJWV4ccffxQdh8jtsPgQkVvYv38/nn76aeTk5MCq80VVu3ugeBlEx7pmKgm47/xan6VLl6K6ulpwIiL3wuJDRC7NarXi+++/x/PPP4+SkhJYfIJR1e5elyw9F/RqakSYlwUlJSX4+eefRcchcissPkTksgoKCvDyyy/j//7v/yDLMsxBMbbSo/cTHe26aFTAPedHfZYvXw5ZlgUnInIfLD5E5HIsFgtWrFiBkaNGITk5GYpKjZrom1DT8jZArRUdr0HcHG6En9aKvLw8bNu2TXQcIrfB4kNELiUjIwPjxo3Dhx9+iKrKSlh8Q1HV4QGYw9q5zNVbdaFTA/2a1QAAvv/+e8FpiNyHRnQAIqK6yM3NxSeffIKNGzcCABS1Fsbm3W179Eju+Ttcv2Y1+OWkNzIyMnDo0CG0besa+xEROTP3/GlBRG6joKAAc+fOxciRI7Fx40YoAMyhrVHZ8SGYw9q7bekBgEC9gr+FmQAAP/30k+A0RO6BIz5E5JQKCwuxePFi/PTTTzCZbC/+sn8EjC16wOoTIjid4/y9WQ0Sz+qxfv16/POf/4S/v7/oSEQuza1+VZo8eTIkSap1Cw8PFx2LiK7BqVOn8O6772LIkCH4/vvvYTKZIPuFoartXahue5dHlR4AaBMgI8pXhtFoxO+//y46DpHLc7sRn/j4+FonG6vVaoFpiKguFEVBeno6li1bhi1btkBRFACA7BcGU2QXWAyRbrVw+VpIEnBbsxp8edgPP//8Mx566CFIHvp3QdQQ3K74aDSaaxrlMRqNtU5BLisra4xYRHQZZrMZmzZtwrJly3Do0CH7/XJAFEwRnWDx54gtANwUbsLiowpOnDiBjIwMdOzYUXQkIpfldsXnyJEjiIyMhF6vx4033ojp06cjLi7uis+fMWMGpkyZ4sCERHT27FmsWrUKv/zyC4qLiwEAiqSGOaQlzE3jYfUJEpzQufhoFNzY1IituV5YtWoViw/RdZCUC2PKbuC3335DVVUV2rRpg7Nnz2LatGk4ePAgMjIyEBJy+XUBlxvxiYqKQmlpKQwG193ynsjZWCwWJCcnY+XKlUhMTITVagUAWLXeMIe1h7lJWyha70YMYIZ/6lcAgIldS9Am0NJ4f1YjOFqqwdSUAOh0OixfvpyLnIkuUlZWhoCAgL98/XarEZ+7777b/nanTp3Qq1cvtGzZEl988QVeeOGFy36MXq+HXu9apzcTuZLc3FysXr0av/76K86dO2e/X/aPgDmsHeTAaEDlVtdZNIqWBhlRfjJyKoDff/8dgwcPFh2JyCW5VfG5mK+vLzp16oQjR46IjkLkUWpqarBt2zasXr0aKSkp9sXKiloPc2hLmJu0g9U7UGxIFyNJwN8ja/DFYT+sWrWKi5yJ6smti4/RaERmZib69OkjOgqR27twZdbq1auxadMmVFZW2h+TDREwh7aFHNQCULn1j51GdVO4CYuPKTh58iTS0tLQpUsX0ZGIXI5b/QR66aWXcN9996FFixbIz8/HtGnTUFZWhlGjRomORuS2srOzsW7dOqxbtw5nzpyx32/V+cEc2grmkFZQvLheriF4axT0Djdiw2kvrFixgsWHqB7cqvicOnUKQ4cORUFBAZo0aYKePXti586diI6OFh2NyK0UFhZi06ZNWLt2LQ4ePGi/X1FpIAfHwhzSynYpOqdiGtztzWqw4bQXtm3bhry8PG7SSnSN3Kr4LF68WHQEIrdVXl6OLVu2YP369UhLS7NflaVAgiWgGcwhLSEHtgDUWsFJ3VtzPws6BJlwoFiHFStW4J///KfoSEQuxa2KDxE1rKqqKiQmJmLDhg1ISkqC2Wy2P2bxbQJzSBzk4LjGvQydLnFnVA0OFOuwatUqjBgxgpe2E10DFh8iqsVoNCIxMREbN27Ezp07a+1zZfEOhBzcEubgWK7bEeiGEDOa+8o4VVmFlStXYvjw4aIjEbkMFh8igtFoRFJSEjZu3IgdO3agpqbG/phVb4A5OBZycCysPsECU9IFKgm4N7oaHx/wx7JlyzB48GDuR0ZURyw+RB7KZDJh9+7d9rJTVVVlf8yq8/tT2QnhImUndGOYCcuPW1BQXIwVK1ZgyJAhoiMRuQQWHyIPYjabkZycjE2bNmHbtm219tqx6nwhB8XCHBwLq28oy46T06iAgTHV+PSgH7799lvcd9998PX1FR2LyOmx+BC5OVmWkZqaio0bN2Lr1q2oqKiwP2bV+kAOjoE5OA5W3yYsOy6md7gRv2R7IbesDEuXLsU//vEP0ZGInB6LD5Ebslgs2LdvHzZs2IDNmzejrKzM/phV6w05yDaNZfELY9lxYWoV8FBcNf6b7o8lS5bgvvvuQ2hoqOhYRE6NxYfITSiKgiNHjmDdunXYsGEDCgoK7I9ZNV6Qg2JsZYcbC7qVvzUxoZXBjKNlwPz58zFx4kTRkYicGosPkYvLy8vDmjVrsG7dOmRnZ9vvV9Q6mC+UHUMEIPEEdHckScBjbSoxOTkA69atw/3334+EhATRsYicFosPkQuqrq7G1q1bsXr1aqSmptrvVyQ15MAoyCEtIQc0B1RqgSnJUWINFtwaacSmM1748MMP8fHHH0Oj4Y93osvhdwaRCzl8+DBWrVqFdevWobq62n6/7B8Bc2gryEHRgFonMCGJ8nBcFXbn63Ds2DF89913eOyxx0RHInJKLD5ETq6mpgbr16/HypUrcejQIfv9Vr0/zKGtbaef6/0EJiRn4K9T8FibSsw/4I8vv/wCN998M2JjY0XHInI6LD5ETqqwsBArVqzAypUr7VdlKZIKclAMzE3acpEyXaJXUxN2njUhrRCYNWsW/vvf/3LKi+gi/I4gcjLZ2dn49ttvsW7dOsiyDACw6v1gatIecmgrHghKVyRJwOPtKvH6Lg0OHjyIr776inv7EF2ExYfISZw6dQpffPEF1q9fD6vVCgCQ/ZrCHB4PObAFr8qiOgnWWzHy/JTXV199hW7duvEqL6I/YfEhEqy4uBgLFy7Er7/+ai885sAWMEUkwOoXJjgduaKbwk1IL6rBtjwvTJs2DZ9++ikMBoPoWEROgb9CEgliNpuxePFijBgxAj///DOsVivkwChUdrgfNa1vZ+mh6/JYm0o09bYgPz8fs2bNspdqIk/H4kMkwMGDB/Hkk09i/vz5qKyshMUnBFXt7kV16ztsB4QSXSdvDfBsx3JoJAXbt2/Hd999JzoSkVPgVBeRA8myjEWLFuG7776D1WqFVeMFY/PukENb8wotanAx/haMbFuJzw76YeHChWjbti26d+8uOhaRUBzxIXKQ3NxcjB8/Ht988w2sVivMwbGo6vgg5CZtWHqo0fSNNOLWiBpYrVZMnToVubm5oiMRCcXiQ+QAO3bswJgxY5CZmQlFrUN1y9tQ0/I2XppODvFYm0rE+ssoKyvDG2+8gaqqKtGRiIRh8SFqRBaLBZ999hlef/1121oe3yaojH8AcjB31CXH0amBf3UqR4DOiuPHj+Ptt9/mYmfyWCw+RI2ktLQUr776Kr788ksAgCmsA6ra3QNF7y84GXmiYC8rJnQqh1ZlW+y8cOFC0ZGIhGDxIWoEmZmZePLJJ7F7924oKjWqY2+BMbonT0snoVoGyHiiXQUA4JtvvsHq1asFJyJyPF7VRdSALBYLvv32WyxatMh21ZbeH9Wt+sHqEyw6GhEAoHe4CWcqq7DqpA/effddhIeHo3PnzqJjETkMR3yIGsjx48fx3HPPYeHChbartoJiUdnhfpYecjoPxVWjR5gRsixj0qRJyMnJER2JyGFYfIiuU1VVFebNm4cxY8YgIyMDikqL6tg+qGnZF9DoRccjuoRKAp5sX4GWBjPKy8vx6quvoqSkRHQsIodg8SGqp5qaGixevBhDhgzBkiVLzo/yRKOy44PckJCcnk4NPJ9QjlAvC06fPo1JkybBaDSKjkXU6Fh8iK5ReXk5Fi9ejGHDhmH+/PkoKyuD1cuAqtZ3oKZVPyh6P9ERierEoFPw4g3l8NFYsX//fsyePZuXuZPb4+Jmojo6efIkli9fjjVr1qCmpgYAYNX5wdisC+SQloDE3yPI9TTztWB8x3K8u9eA9evXIyIiAmPGjBEdi6jRsPgQXUV5eTk2b96M33//Hfv377ffb/EOgrlpB5hDWvESdXJ58cEy/tG2Ep8e9MPXX3+NqKgo3HnnnaJjETUKFh+iixiNRuzevRvr1q3D9u3bYTabAQAKJMiBUTA3jYfFP5xreMit3BJpxNlqFVad9ME777yDiIgIJCQkiI5F1OBYfIhgG9lJTEzEtm3bkJSUZJ/KAs6P7oS0ghwSB0XnKzAlUeN6KK4aeVVq7D4HTJw4Ef/73//QvHlz0bGIGhSLD3kkRVFw8uRJJCUlYdeuXUhLS4PFYrE/btX5Qg6KgTm0FazewRzdcWWKFZKpErDI9rtKjCqcq1YQrLdCzaVZdioJeLJDBQpT1TheVobXX38d//vf/+DnxwX75D4kRVEU0SGcSVlZGQICAlBaWgqDwSA6DjWg8vJypKamIikpCbt370Z+fn6txy3egZADoyEHRcPqE8Ky4yYkYzn89n1/2cfe61WMJt68iuliJUYJk5MDUGRUo2fPnnj77behVnMtGzm3ur5+c8SH3FZ1dTX279+PPXv2YM+ePTh8+HCtS3UVSQ2LfzjkgGaQA6OgeAUITEvkPAL1Cv7VqRzTUgOwc+dOfPbZZxg7dqzoWEQNgsWH3EZ1dTUyMjKwd+9e7NmzB5mZmbWmrwDA4hUAS0BzyAHNYPELB9T8FiC6nFiDBaPbVWD+AX988803aNWqFW677TbRsYiuG3/qk8sqLS3F/v37sW/fPuzfvx+HDx++pOhYdX6wGCIg+0fAYojg4mSia3BTuAk5FdX4Jdsbs2bNQlxcHKKjo0XHIrouLD7kEhRFQW5uLtLT07F//37s378fJ06cuOR5Vp0vLH7htrJjiICi93d8WCI38nDLKmSVa3CgGPjPf/6DefPmwdvbW3Qsonpj8SGnJMsyjh49iv3799vLTlFR0SXPs3gFwuLfFBa/prD4h/O4CKIGppKAf8aXY1JSIE6cOIH33nsPb7zxBiQu/icXxeJDTqG8vBwZGRlIT09Heno6Dh48WGsvHQBQJBWsPiHnS04YLH5NoWj5mydRYwvQKXgmvhwz0wxYt24d/va3v3FnZ3JZLD7kcIqi4MyZM/bRnPT09MtOWylqXa2SY/ENBVT8J0skQrsgGYNiq7HsuA8+/PBDJCQkICIiQnQsomvGVxFqdH+etrpQdi43bWX1MtgKjp+t6Fi9AriXDpETGRBdjb2FWhwprcKMGTPw/vvvc38fcjksPtTgjEYjMjMzsXfvXuzduxcHDhy4/LSVb+ifik4Yp62InJxKAp7uUIE3kgKxb98+fP/99xgyZIjoWETXhMWHrtuf98/Zu3cvMjMz7Qd7XsBpKyL30MTbiuGtK7HwoB8WLVqEW2+9lVNe5FL4ykPXTJZlHDp0CCkpKUhJSUFGRgZkWa71HKvWGxb/cNvNryms3kGctiJyE7dEGLEjT4/MEuD999/HrFmzeJUXuQwWH6qT06dPY9euXUhOTkZaWhqqqqpqPW7V+Z4vOhGQ/ZtC0RtYdIjclCQBj7e1TXklJSVhw4YN6Nevn+hYRHXC4kOXJcsy9u/fj8TEROzcuRPZ2dm1HlfUesiGCFgMkZANkbaNAll0iDxGhK8V98dU44csH3z88ce4+eabodfrRcci+kssPmRnMpmwe/dubNy4EYmJiaisrLQ/pkiSbW1OQHPIhkieXk5EuKdFNTad0SM/Px/Lly/HsGHDREci+kssPh5OlmWkpqZiw4YN2Lp1a62yY9V42YpOYHPIhmaAhr/NEdEfdGrg4bgqfJxpO8j0nnvuQWBgoOhYRFfF4uOhCgsL8csvv2DlypUoKCiw32/V+kAOjoU5KAZWvyaApBKYkoicXa9wE1bnyDhZUYlvv/0WzzzzjOhIRFfF4uNhDh8+jO+++w5btmyxn2Ru1XhBDo6BHBwHi19TTmERUZ2pJGBwXBXe22fAqlWrMGLECBgMBtGxiK6IxcdDnD59GgsXLsSGDRvs91n8wmAKaw85KAZQcfdVIqqfhBAzovxk5FRU48cff8TIkSNFRyK6IhYfNyfLMj7//HMsXrwYsixDASAHt4QpoqNtgTIR0XWSJGBAi2rMO+CP5cuX45FHHoGXl5foWESXVa8FHHFxcSgsLLzk/pKSEsTFxV13KGoYJSUlePnll/H1119DlmXIAc1QFf8AalreytJDRA2qR5gJoV4WlJaWYvPmzaLjEF1RvYrPiRMn7OtD/sxoNOL06dPXHYquX01NDSZMmIDU1FQoKg2q4/qius2dLDxE1CjUKqBvpBEA8MsvvwhOQ3Rl1zTVtXLlSvvbv//+OwICAuzvWywWrF+/HjExMQ0Wjurv448/xokTJ2DVeqO67V22IyOIiBrRzRFGLD/ujX379uHkyZOIjo4WHYnoEtdUfAYOHAgAkCQJo0aNqvWYVqtFTEwM3nvvvQYLV1//+9//8M477yA3Nxfx8fH44IMP0KdPH9GxHKaiogI//fQTAKAm9haWHiJyiGC9FZ1DzdhToMOaNWswduxY0ZGILnFNU11WqxVWqxUtWrRAfn6+/X2r1Qqj0YhDhw5hwIABjZW1TpYsWYIJEybgjTfewJ49e9CnTx/cfffdlxy54M5OnTpl+/+i9YYloJnoOEROY8CAAfjyyy8xYMAASJKEEiO3bmhoPcNs011bt24VnITo8uq1xicrKwuhoaENnaVBzJkzB6NHj8aYMWPQvn17fPDBB4iKisK8efMu+3yj0YiysrJaN1d34ZRkyWIGLGbBaYicxyOPPIIWLVrgkUcegaIoKKjhNg4NrXOoGRpJQXZ2Nk6ePCk6DtEl6jzVNXfuXDz55JPw8vLC3Llzr/rc55577rqD1YfJZEJKSgpeffXVWvf3798fO3bsuOzHzJgxA1OmTHFEPIdp06YNoqKikJOTA13uXpiadxcdicgpLF26FI888giWLl0KSZIQ6nXpRRp0fbw1CjoEm7GvUIetW7dynQ85HUlRFKUuT4yNjUVycjJCQkIQGxt75U8oSTh+/HiDBbwWZ86cQbNmzbB9+3bcdNNN9vunT5+OL774AocOHbrkY4xGI4xGo/39srIyREVFobS01KV3H12zZg2mT58OAKiJ6Q1zk7aCExGJIRnL4bfve9vbkgRFUez/fa9XMZp4WwUndD/rTunx5WE/dO3aFXPmzBEdhzxEWVkZAgIC/vL1u84jPmlpafaruLKysq4/YSOSLjpy4cIPusvR6/XQ693v8M3+/fvj5MmT+Oabb+B1YjtUVUUwRvXgDs3k0S78nlfH3/eontoHyQCA9PR0mEwm6HQ6wYmI/lDnNT7BwcHIz88HAPz9739HSUlJY2Wqt9DQUKjVauTl5dW6Pz8/H02bNhWUSpwxY8ZgxIgRAABdfiZ8Mn+GqiJfcCoicneRPhYYtFaYTCYcPHhQdByiWupcfPz8/Oy7NW/atAlms/MtmtXpdOjWrRvWrl1b6/61a9fWmvryFJIkYcyYMZg5cyb8DQaoqwrhm/kzvI5vgWSuEh2PiNyUJAFtA22vEenp6YLTENVW56mu22+/Hbfddhvat28PAHjwwQevOHz554MwHe2FF17AY489hu7du6NXr1745JNPkJ2djaefflpYJtF69uyJzxctwqefforffvsN2sKj0BRnwdykHUzhnaDofERHJCI3E+MvY/c5PY4dOyY6ClEtdS4+X3/9Nb744gscO3YMmzdvRnx8PHx8nO8F89FHH0VhYSGmTp2K3NxcdOzYEb/++qvHX1kQEhKCV155Bffddx/+7//+DxkZGdCdzYA2/yDMTdrA1DQeipfrLuYmIucS7W+7Yu7o0aOCkxDVVueruv7stttuw4oVKxAYGNgIkcSq66pwV6YoClJSUvD555/bh6EVAJaAKJiadoDFEGkbqyZyA3++qutivKqr8ZQYJTy3PRgqlQq//fabW15EQs6lwa/q+rONGzfa377Qm6501RQ5H0mS0L17d3Tr1g1paWlYsmQJdu7cCU1pDjSlObB4BcLcpA3Moa0AjZfouETkggJ0CrzUVtRYgLy8PI8fdSfnUa+dmwHgyy+/RKdOneDt7Q1vb28kJCTgq6++ashs1MgkSUKXLl0wc+ZMfPXVV3jwwQfh5eUFdU0JvHKS4Je2GF7HNkJddgbg5b9EdA0kCfbRtIuvtCUSqV4jPnPmzMGkSZMwbtw49O7dG4qiYPv27Xj66adRUFCA559/vqFzUiOLiorCv/71L4wePRrr16/HL7/8gsOHD0NblAVtURasOl+YQ1pCDmkFq3eg6LhE5AJCvazIqWDxIedSr+Lz0UcfYd68eRg5cqT9vgceeADx8fGYPHkyi48L8/PzwwMPPIAHHngAhw8fxs8//4wNGzagoqIC+tx90Ofug8U3FObglpCDY3lFGBFdUbDeNuJTUFAgOAnRH+pVfHJzcy+7L85NN92E3Nzc6w5FzqFNmzZ44YUX8OyzzyIxMRFr1qzBrl27gMoCqCsLoOTsgsU/AnJwLOSgGChargcioj/4amzFp7y8XHASoj/Uq/i0atUKS5cuxeuvv17r/iVLlqB169YNEoych16vR9++fdG3b1+UlJRgw4YN2LBhA9LT06Epz4WmPBdKdiIs/pGQg2MgB7aAovUWHZuIBPPV2tYGVlRUCE5C9Id6FZ8pU6bg0UcfxZYtW9C7d29IkoRt27Zh/fr1WLp0aUNnJCcSGBiIQYMGYdCgQcjLy8PGjRuxYcMGHDlyBJqy09CUnYaCHbD4h0MOioYcFA1F5ys6NhEJ4KOxFR+O+JAzqVfxeeihh5CUlIQ5c+bgxx9/hKIo6NChA5KSktClS5eGzkhOKjw8HEOHDsXQoUORk5ODLVu2YPPmzTh8+LB9JAjZO2HxDYUcGA05qAWsXoHcI4jIQ2gkW/GxWrlXEjmPay4+ZrMZTz75JCZNmoSvv/66MTKRC4qKisLw4cMxfPhw5Obm2ktQZmYm1OfXBOlPp8Cq94cc2AJyYAtY/JoCqnrvqEBETu7C7zgsPuRMrrn4aLVarFixApMmTWqMPOQGIiIi8Oijj9qPD0lMTMS2bduQkpICs7EcurO24zIUtQ5yQDPIAVGwBDTn4mgiN6Ni8SEnVK+prgcffBA//vgjXnjhhYbOQ24mJCQEAwYMwIABA1BVVYWkpCQkJiZi586dKC0tte8TpECC1TcUckBzyAHNYfUN5ZQYkYszW23fwxpNvV5qiBpFva/qeuutt7Bjxw5069YNvr61F68+99xzDRKO3IuPj4/96jCLxYKDBw8iMTERiYmJOHbsGNSV56CuPAf9mT2warxgMTSDHNgcFkMkrxIjckE1FlvxccYDrclz1av4fPrppwgMDERKSgpSUlJqPSZJEosP/SW1Wo34+HjEx8djzJgxyM/PR1JSEpKSkpCcnIyqqiqoio5BW3QMAGDxCYFsiIQloNn5tUFqwV8BEf2VGtn2XxYfcib1Kj5ZWVn2t3lIKTWEsLAw+5SYLMtIT0+3F6GjR49CXVUIdVUhkLcfikpt2zjREAmLIRJW7yBOixE5oQrZdvGCn5+f4CREf6j3xOvChQvx/vvv48iRIwCA1q1bY8KECRgzZkyDhSPPpNFo0LlzZ3Tu3BlPPvkkioqKkJKSguTkZOzevRtFRUXQlJ6CpvQUAJyfFouwTY0ZIqDo/QV/BUQEAEU1tuITFhYmOAnRH+pVfCZNmoT3338f48ePR69evQAAiYmJeP7553HixAlMmzatQUOSZwsODsYdd9yBO+64A4qiICsrC7t370Zqair27t2LmpoaqM4vkgZgu2TeEAGLfyQshgiuDyISpPB88WnSpIngJER/qFfxmTdvHhYsWIChQ4fa77v//vuRkJCA8ePHs/hQo5EkCXFxcYiLi8Ojjz4Ks9mMzMxM+3qzAwcOAMZy6M6VA+cOAwAs3kGw+EfAYoiA7B8OaPSCvwoiz1BYY1uLxxEfcib1Kj4WiwXdu3e/5P5u3bpBluXrDkVUV1qtFgkJCUhISMA//vEPVFVVYe/evdizZw9SU1Nt64Oqi6GuLgbyD9gum/cJsY0IGSJsC6XVWtFfBpHbqTBLKDbZRnyio6MFpyH6Q72Kz4gRIzBv3jzMmTOn1v2ffPIJhg8f3iDBiOrDx8cHvXr1sk/BlpSUIC0tDampqdizZw9ycnKgriqAuqrAtlBakmDxbQKLIdI2KuQXxivGiBpAdoXt+ygiIuKSLU+IRLquxc1r1qxBz549AQA7d+5ETk4ORo4cWWtjw4vLEZEjBQYG2vcOAoBz585hz5499hGhs2fPQlORD01FPoA0KJIaFv+m568aizi/kSKP1XBlis4XFQkPAxYZfhkrAADj4ssQa7AgWM8dhRtLdrnt5aVVq1aCkxDVVq/ik56ejq5duwIAjh2z7bPSpEkTNGnSBOnp6fbn8RJ3cjZNmjRB//790b9/fwBAbm4uUlJS7KNCRUVF0JSdgabsDPSnAUWthXx+fZDFEMlDVl2RpLJd6Wcx2+8K1FvRxJulpzEdKbW9vLRp00ZwEqLa6lV8Nm7c2NA5iISIiIiw7x+kKAqys7ORkpKCPXv2IC0tDeXl5dCWZENbkg0AsGq9YTFEnt9DqBkUHTdmI7qYVQEOFNvWzl34JZnIWfAAFaLzJElCdHQ0oqOjMWjQIFgsFhw5cgSpqalISUnB/v37YTJVQ1V4DNrC8ztKewfZilBAM1j8wgE1v6WIsivUqJRV8PHxQdu2bUXHIaqFP6WJrkCtVqNdu3Zo164dhg0bBqPRiIyMDPul84cOHbJfMaY7m2FfHyQHNIcloDmsXgGcFiOPtK9QBwBISEjgAaXkdPgvkqiO9Ho9unbtiq5du2Ls2LEoLS1Famoqdu/ejeTkZOTn59vXByEnCVadn/20eYshgpfNk8dIyrcVnz59+ghOQnQpFh+iegoICMBtt92G2267zb4+aPfu3di1axfS0tJgNlVAd+4gdOcOQpFUtg0UA1tADoiCoufZReSecitVyK7QQK1Ws/iQU2LxIWoAf14fNHjwYFRXVyMtLQ27du3Crl27kJubC03paWhKTwNIhMUn2FaCAlvA6hPCKTFyG4lnbTujd+/eHQaDQXAaokux+BA1Am9vb/tGioqi4OTJk9ixYwd27NiBjIwMqKuKoK4qgv5Mmm1KLCgaclC0bQNF7htELspiBTbn2orP7bffLjgN0eWx+BA1MkmSEBMTg5iYGAwbNgwlJSXYuXMntm/fjqSkJBiNFdCdzYDubAasGq/zJSjGti6IJYhcSGqBDsVGNQIDA3HrrbeKjkN0WSw+RA4WGBiIu+66C3fddRdqamqwe/dubN26FTt27EBFRQV05w5Bd+4QSxC5nHWnvAAAAwYMgE6nE5yG6PJYfIgE8vLyQp8+fdCnTx/Isoy0tDRs2rQJW7ZsQVlZWe0SFBwDOTjOdrAq1wSRkzlWqkFmiRYqlQr33Xef6DhEV8TiQ+QkNBoNunfvju7du2PChAmXlqD8g9DlH4RV6ws5OBbmkDgujCanseKENwDgzjvvRNOmTQWnIboyFh8iJ3RxCUpNTcX69euxbds2VFZWQnc2Hbqz6bB4BUAOjoM5JA6KV4Do2OShjpVqsK9QB5VKhREjRoiOQ3RVLD5ETk6j0aBHjx7o0aMHjEYjkpKSsH79euzYsQOmmlKoz+yB/sweWHxCYQ6JgxwcxzPEyGEUBfj+uO3fW//+/dGsWTPBiYiujsWHyIXo9Xr7mqDKykps374d69atQ3JyMlBVAHVVAZScJFj8IyCHtIQ5KBrQ6EXHJjeWWqDFgWIttFotRo0aJToO0V9i8SFyUb6+vujfvz/69++P4uJibN68GevWrUN6ejo05bnQlOdCf3KH7diM4DjIgVE8NoMalMkCfHvEFwDw6KOPIiIiQnAior/G4kPkBoKCgjBw4EAMHDgQubm52LBhA9atW4esrCxoS7KhLcmGotLYdosOjoUc0BxQqUXHJhe3Oscb52rUCA0NxbBhw0THIaoTFh8iNxMREYHhw4dj+PDhOH78ODZs2ID169cjNzcX2qLj0BYdh6LWQg6Mhjk4FhZDJEsQXbMzlSr8dP5Krqeeego+PlxXRq6BxYfIjcXFxSEuLg6jR49GZmYm1q9fj82bN6OgoADawqPQFh6FotbDHGQbCbL4RwIqbpRIV2dVgIUH/WC2SujRowePpyCXwuJD5AEkSUKHDh3QoUMHPPvss0hPT8eGDRuwefNmFBcXQ1dwBLqCI1DUOshB0TAHxXAkiK5o3SkvHCnVwsfHBy+++CIk7iVFLoTFh8jDqFQqJCQkICEhAePHj8e+ffvsGyUWFxdDW3AE2gslKLCFrQQFRAIq/rgg4FSFGkuO2aa1nnrqKW5WSC6HP8mIPJharUaXLl3QpUsXPPfcc9i3bx82b95sHwmyT4epNJADoyAHxdgWRvPqMI9ksgDzMv6Y4uLRFOSKWHyICEDtEjR+/HhkZGRg8+bN2LJlC86dOwdtURa0RVlQJDXkgGa2EhQYxX2CPMjio77IqdQgKCgIr776KlRcD0YuiMWHiC6hVqvt02HPPvssMjMzsWXLFmzZssV2ddiFS+QlFSyGiPMlqAUUrbfo6NRIdufrsO607fT11157DcHBwYITEdUPiw8RXZVKpUJ8fDzi4+Px9NNP4+jRo/YSdPLkSWhKT0NTehoKdsDiHw45KBpyUAyPzXAjpyvVWJDpB8C2UWGPHj0EJyKqPxYfIqozSZLQunVrtG7dGqNHj8bJkyftJejIkSP2HaOV7J2w+DWFHBxzvgT5io5O9VQtA3P3+6HGIqFz584YO3as6EhE10VSFEURHcKZlJWVISAgAKWlpTAYDKLjELmMM2fO2EvQgQMHaj0m+4XZdowOihU3EmQxwz/1KwDAxK4laBNoEZPDhVgV4L/pfkg+p0doaCgWLFiAoKAg0bGILquur98c8SGiBhEZGYkhQ4ZgyJAhyM/Pt18dlp6eDk1FPjQV+VCyd9kOUA2OhTk4BtB4iY5NV/FDljeSz+mh0WgwZcoUlh5yCyw+RNTgwsLC8PDDD+Phhx9Gfn4+tmzZgo0bNyIjI+OPA1SzE2ExNIc5tCXkwBbcJ8jJ7MjTYeUJ2+jciy++iPj4eMGJiBoGf9IQUaMKCwvD4MGDMXjwYOTm5mLTpk1Yv349jh49Ck1pDjSlOVDUOpiDYiCHtoLFrynAnYCFOlKqwafnFzMPHToUd999t+BERA2HxYeIHCYiIgJDhw7F0KFDcfLkSaxduxZr1qxBfn4+dAWHoSs4DItXAMxN2kAOacXL4wXIq1Lhg33+kBUJN998Mxczk9vh4uaLcHEzkWNZrVbs3bsXa9aswcaNG1FTUwMAUCSV7QT5pu0bZhSIi5v/UqlJwlvJAcivUaNNmzb44IMPeOo6uQwubiYil6BSqWrtGL1hwwasWrUKhw4dgrY4C9riLFh8QmBqGg85OJYHpzaSGhmYs9eA/Bo1IiMjMXPmTJYeckssPkTkNHx8fDBgwAAMGDAAR44cwU8//YQ1a9bAVFUI76wtsJ7aDVN4AsxhbbkYugHJVuC/Gf7IKtfAYDBg1qxZ3JmZ3BYPWiEip9S6dWu89NJLWLp0KcaMGYOQkBCozNXwytkF373fQ5uXDlhl0TFdnlUBPsn0w75CHfR6PWbMmIGoqCjRsYgaDYsPETm1wMBAjBgxAosXL8ZLL72E8PBwqORqeOUkwXf/cmgKjwNcqlgvigJ8ddgXO8/qoVarMXXqVF62Tm6PxYeIXIJWq8WAAQPw9ddf49///jfCwsKgMlXC+/gmeB/8FarqYtERXc4PWd5Yf9oLkiTh9ddfx4033ig6ElGjc6viExMTA0mSat1effVV0bGIqAFpNBrce++9+PLLL/HEE0/Ay8sLmoqz8Mn4Cdrc/YBiFR3RJfxy0gs/nd+g8F//+hf69esnOBGRY7hV8QGAqVOnIjc3136bOHGi6EhE1Ai8vLwwcuRIfPnll+jVqxckxQqvU7vhfWg1JHO16HhObd0pPZYcsx0cO2bMGAwcOFBsICIHcrvLIvz9/REeHl7n5xuNRhiNRvv7ZWVljRGLiBpJWFgYpk+fjtWrV+Ojjz5CVXkefA6sQnXrfrD6hIiO53S25urx5WHbrswjRozAiBEjBCciciy3G/GZNWsWQkJC0LlzZ7z99tswmUxXff6MGTMQEBBgv/FqBiLXI0kS7r77bsybNw/NmjWDylQBn4O/QVVZIDqaU9l5VodPM20jPQ899BBGjx4tOBGR47lV8fnXv/6FxYsXY+PGjRg3bhw++OADPPPMM1f9mNdeew2lpaX2W05OjoPSElFDi46Oxvz589GpUydIFhN8Dq2GqqpIdCynsDtfh/kH/KBAwr333otx48ZB4plo5IGcvvhMnjz5kgXLF9+Sk5MBAM8//zxuvfVWJCQkYMyYMZg/fz4WLlyIwsLCK35+vV4Pg8FQ60ZErsvf3x+zZs1CfHw8JIsJ3kfXA7Lxrz/Qje0p0OJ/GX6wKhLuvPNOvPjiiyw95LGcfo3PuHHjMGTIkKs+JyYm5rL39+zZEwBw9OhRhIRwrp/IU/j4+GDGjBl48sknkZeXB68T21ET20d0LCH2Fmrx0X5/WBQJ/fr1w8svvwyVyul/5yVqNE5ffEJDQxEaGlqvj92zZw8A24nQRORZDAYDJk+ejGeeeQba4hMwh7QUHcnh9hVqMXe/7aT1W265Ba+99hrUap51Rp7NbWp/YmIi3n//faSlpSErKwtLly7FU089hfvvvx8tWrQQHY+IBGjXrh0efPBBAID+VIrgNI61v1CLD/f7w2yV0KdPH7z55pvQaJz+d12iRuc2xUev12PJkiXo27cvOnTogDfffBNjx47Fd999JzoaEQk0atQoeHl5QV1TIjqKw6QXafHB+dLTu3dvlh6iP3Gb74SuXbti586domMQkZMxGAy49957sXz5ctFRHOJAkQYf7LOVnptuugmTJ0+GVqsVHYvIabjNiA8R0ZWMHTvWI46vOVCswZx9BpisEnr27MnSQ3QZLD5E5Pa8vLxw6623io7RqDKLNZiz94/SM3XqVOh0OtGxiJwOiw8RkYs7WKzBeyw9RHXC4kNE5MIOFmvw7vnS06NHD0yZMoWlh+gqWHyIiFzUoRIN3ju/pudvf/sb3nrrLej1etGxiJwaiw8RkQs6Umqb3jJaJHTv3h3Tpk1j6SGqAxYfIiIXc7RUg3fSDKixSOjWrRvefvttlh6iOmLxISJyIcfL1PbS06VLF5YeomvE4kNE5CJOlKsxO82AaouEhIQETJ8+HV5eXqJjEbkUFh8iIhdwqsJWeqpkFTp27IiZM2fC29tbdCwil8PiQ0Tk5HIrVZiVZkCFWYV27dph1qxZ8PHxER2LyCWx+BARObFz1SrMTDOg1KRCq1at8M4778DX11d0LCKXxeJDROSkiowqzNxjQLFRjejoaLz77rvw9/cXHYvIpbH4EJFH8PLyQkhICABA6wI/+cpNEmbv8ce5GjUiIyPx3nvvITAwUHQsIpfnAt/+RETXT5IkSJJ0/m3BYf5CtSzhnb0GnKnSoEmTJpgzZw5CQ0NFxyJyCyw+REROxGQB5uzzx4lyDQICAvDuu+8iPDxcdCwit8HiQ0TkJCxW4H8Z/jhUooWvrw/eeecdREdHi45F5FZYfIiInICiAF8c9kVqgQ5arRbTp89AmzZtRMcicjssPkRETmBFljc2nfGCSqXCm2++iRtuuEF0JCK3xOJDRCTYxtN6/HjCtiHhhAkT0KdPH8GJiNwXiw8RkUB7C7X44rBtQ8JRo0bh/vvvF5yIyL2x+BARCXKyXI3/S/eHVZFw11134fHHHxcdicjtsfgQEQlQVKPCnL0G1FgkdO3aFS+++KJ9nyEiajwsPkREDma0AB/s90exSYWYmBhMmTIFWq1WdCwij8DiQ0TkQIoCLMj0s29QOGPGDJ6/ReRALD5ERA700wlvJOXrodFoMHXqVERERIiORORRWHyIiBwk9ZwWP2TZLlt//vnnuVcPkQAsPkREDpBbpcLHB2xTWoMGDcK9994rOBGRZ2LxISJqZDUyMHe/P6otEhISEvDMM8+IjkTksVh8iIgakaIAnx30w+lKDUJCQvCf//wHGo1GdCwij8XiQ0TUiDae0WNnvh5qtRpTpkxBSEiI6EhEHo3Fh4iokZwsV+ObI7bjKJ588kl07NhRcCIiYvEhImoE1TLwfxn+MFsl9OrVC4888ojoSEQEFh8iokbx9WFf5FWpERYWhldffZXHURA5CRYfIqIGlpSvw9Y8L6hUKkycOBEBAQGiIxHReSw+REQNqKhGhUUHbet6hg0bhoSEBMGJiOjPWHyIiBqIVQE+yfRFpaxCu3bt8Pjjj4uOREQXYfEhImogG0/rcaBYB71ejzfeeIP79RA5IRYfIqIGkF+twuJjtimup556ClFRUYITEdHlsPgQEV0nqwIszPSD0SLhhhtuwMCBA0VHIqIrYPEhIrpOm8/okVmihZeXF1555RWoVPzRSuSs+N1JRHQdio0SFh/1AQCMGTMGkZGRghMR0dWw+BARXYevDvui2qJC+/bt8eCDD4qOQ0R/gcWHiKieUs9pkXzOdgDpv//9b6jVatGRiOgvsPgQEdWD0QJ8ff4A0kcffRRxcXGCExFRXbD4EBHVw8oT3iioUaNp06Z47LHHRMchojpi8SEiukZnKlX4NdsbADB+/Hh4e3sLTkREdcXiQ0R0DRQF+OaILyyKhJ49e6J3796iIxHRNWDxISK6BnsLtdhfpINGo8G4ceMgSZLoSER0DVh8iIjqSLbaRnsAYPDgwWjevLngRER0rVh8iIjqaN1pL5ytViMoKIgLmolcFIsPEVEdVJol/JRlW8Q8evRo+Pr6Ck5ERPXB4kNEVAerTnqjUlYhJiYGd911l+g4RFRPLD5ERH+hoEaFtae8AABPPfUUNBqN4EREVF8sPkREf+GnLG+YrRI6d+6Mnj17io5DRNeBxYeI6CryqlTYmqcHAIwdO5aXrxO5OBYfIqKr+CHLB1ZFQq9evRAfHy86DhFdJ5cpPm+//TZuuukm+Pj4IDAw8LLPyc7Oxn333QdfX1+Ehobiueeeg8lkcmxQInIbpyvV2HVWBwB44oknBKchoobgMiv0TCYTHn74YfTq1QsLFy685HGLxYJ7770XTZo0wbZt21BYWIhRo0ZBURR89NFHAhITkatbecIbCiTccsstaN26teg4RNQAXKb4TJkyBQDw+eefX/bxNWvW4MCBA8jJyUFkZCQA4L333sPjjz+Ot99+GwaD4bIfZzQaYTQa7e+XlZU1bHAickm5lSrsPD/aw80KidyHy0x1/ZXExER07NjRXnoA4M4774TRaERKSsoVP27GjBkICAiw36KiohwRl4ic3M8nbaM9vXv35mgPkRtxm+KTl5eHpk2b1rovKCgIOp0OeXl5V/y41157DaWlpfZbTk5OY0clIidXVKPCjrO2K7mGDx8uOA0RNSShxWfy5MmQJOmqt+Tk5Dp/vstdZqooylUvP9Xr9TAYDLVuROTZfj/lBYsi4YYbbkCHDh1ExyGiBiR0jc+4ceMwZMiQqz4nJiamTp8rPDwcu3btqnVfcXExzGbzJSNBRERXUiVL2HjaNtrz6KOPCk5DRA1NaPEJDQ1FaGhog3yuXr164e2330Zubi4iIiIA2BY86/V6dOvWrUH+DCJyf9ty9aixqBAdHc1dmonckMtc1ZWdnY2ioiJkZ2fDYrEgLS0NANCqVSv4+fmhf//+6NChAx577DG88847KCoqwksvvYSxY8dy+oqI6sSqwH4m16BBg6BSuc0ySCI6z2WKz5tvvokvvvjC/n6XLl0AABs3bkTfvn2hVqvxyy+/4JlnnkHv3r3h7e2NYcOG4d133xUVmYhcTHqRFmer1fD19cUdd9whOg4RNQKXKT6ff/75FffwuaBFixb4+eefHROIiNzO+tO20Z677roLPj4+gtMQUWPgOC4REYASo4S9hVoAwP333y84DRE1FhYfIiIA2/L0sCoSOnbsiOjoaNFxiKiRsPgQkcdTFGBLrm2a65577hGchogaE4sPEXm8rHI18qrU0Ov16Nu3r+g4RNSIWHyIyOPtPH88xU033cRFzURujsWHiDyaVQF2nS8+/fr1E5yGiBobiw8RebSjpRoUm1Tw9fVFjx49RMchokbG4kNEHi21QAfAduyNTqcTnIaIGhuLDxF5LEUBUs7Zyk7v3r0FpyEiR2DxISKPlVelwtlqNTQaDae5iDwEiw8Reaz9RbbRnoSEBPj6+gpOQ0SOwOJDRB4ro9h2REW3bt0EJyEiR2HxISKPJFuBzGLbOc3du3cXnIaIHIXFh4g8UnaFGjUWFfz8/NC6dWvRcYjIQVh8iMgjHS61TXN17NgRKhV/FBJ5Cn63E5FHOlJim+bq1KmT4CRE5EgsPkTkkY6W2YpPfHy84CRE5EgsPkTkccpMKhQb1ZAkCW3atBEdh4gciMWHiDzOyXI1AKB58+Y8jZ3Iw7D4EJHHOVlhm+bi1VxEnofFh4g8zulK24hPXFyc4CRE5GgsPkTkcU5X2kZ8oqOjBSchIkdj8SEij8XiQ+R5WHyIyCOp1WpERkaKjkFEDsbiQ0QeqWnTptBoNKJjEJGDsfgQkUcKDw8XHYGIBGDxISKPFBERIToCEQnA4kNEHiksLEx0BCISgMWHiDxSaGio6AhEJACLDxF5JBYfIs/E4kNEHik4OFh0BCISgMWHiDyGoij2twMDA8UFISJhWHyIyGNUVlba3w4ICBCYhIhEYfEhIo8REhICANDr9dDpdILTEJEI3LaUiDzGW2+9hV27dqFr166ioxCRICw+ROQx4uLiEBcXJzoGEQnEqS4iIiLyGCw+RERE5DFYfIiIiMhjsPgQERGRx2DxISIiIo/B4kNEREQeg8WHiIiIPAaLDxEREXkMFh8iIiLyGCw+RERE5DFYfIiIiMhjsPgQERGRx2DxISIiIo/B09kvoigKAKCsrExwEiIiIqqrC6/bF17Hr4TF5yLl5eUAgKioKMFJiIiI6FqVl5cjICDgio9Lyl9VIw9jtVpx5swZ+Pv7Q5Ik0XGIqAGVlZUhKioKOTk5MBgMouMQUQNSFAXl5eWIjIyESnXllTwsPkTkMcrKyhAQEIDS0lIWHyIPxcXNRERE5DFYfIiIiMhjsPgQkcfQ6/X4z3/+A71eLzoKEQnCNT5ERETkMTjiQ0RERB6DxYeIiIg8BosPEREReQwWHyIiIvIYLD5ERETkMVh8iIiIyGOw+BAREZHHYPEhIiIij8HiQ0RERB6DxYeIPMqJEycgSRLS0tIAAJs2bYIkSSgpKRGai4gcg8WHiIiIPAaLDxEREXkMFh8icjurV6/GzTffjMDAQISEhGDAgAE4duyY6FhE5ARYfIjI7VRWVuKFF17A7t27sX79eqhUKjz44IOwWq2ioxGRYBrRAYiIGtpDDz1U6/2FCxciLCwMBw4cgJ+fn6BUROQMOOJDRG7n2LFjGDZsGOLi4mAwGBAbGwsAyM7OFpyMiETjiA8RuZ377rsPUVFRWLBgASIjI2G1WtGxY0eYTCbR0YhIMBYfInIrhYWFyMzMxMcff4w+ffoAALZt2yY4FRE5CxYfInIrQUFBCAkJwSeffIKIiAhkZ2fj1VdfFR2LiJwE1/gQkVtRqVRYvHgxUlJS0LFjRzz//PN45513RMciIichKYqiiA5BRERE5Agc8SEiIiKPweJDREREHoPFh4iIiDwGiw8RERF5DBYfIiIi8hgsPkREROQxWHyIiIjIY7D4EBERkcdg8SEiIiKPweJDREREHoPFh4iIiDzG/wOqne/TafsQ2AAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df['all'] = ''\n",
"sns.violinplot(x = 'all', y='profit',hue='size', split=True, data = df)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.violinplot(x='gain',y='profit', hue='size', data = df, split=True)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Seaborn lineplot\n",
"\n",
"Plot the average volume over the different months"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [],
"source": [
"df = df.reset_index()\n",
"df.date = df.date.apply(lambda d: datetime.strptime(d, \"%Y-%m-%d\"))"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [],
"source": [
"def get_month(row):\n",
" return row.date.month\n",
"\n",
"df['month'] = df.apply(get_month,axis = 1)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#sns.lineplot(x='month', y = 'vol', data = df, ci=95)\n",
"sns.lineplot(x='month', y = 'vol', data = df, errorbar=('ci', 95))"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df['positive_profit'] = (df.profit>0)\n",
"sns.lineplot(x='month', y = 'vol', hue='positive_profit', data = df)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" open \n",
" high \n",
" low \n",
" close \n",
" vol \n",
" profit \n",
" gain \n",
" size \n",
" all \n",
" month \n",
" positive_profit \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 177.68 \n",
" 181.58 \n",
" 177.5500 \n",
" 181.42 \n",
" 18151903 \n",
" 3.74 \n",
" large_gain \n",
" small \n",
" \n",
" 1 \n",
" True \n",
" \n",
" \n",
" 1 \n",
" 181.88 \n",
" 184.78 \n",
" 181.3300 \n",
" 184.67 \n",
" 16886563 \n",
" 2.79 \n",
" medium_gain \n",
" small \n",
" \n",
" 1 \n",
" True \n",
" \n",
" \n",
" 2 \n",
" 184.90 \n",
" 186.21 \n",
" 184.0996 \n",
" 184.33 \n",
" 13880896 \n",
" -0.57 \n",
" negative \n",
" small \n",
" \n",
" 1 \n",
" False \n",
" \n",
" \n",
" 3 \n",
" 185.59 \n",
" 186.90 \n",
" 184.9300 \n",
" 186.85 \n",
" 13574535 \n",
" 1.26 \n",
" medium_gain \n",
" small \n",
" \n",
" 1 \n",
" True \n",
" \n",
" \n",
" 4 \n",
" 187.20 \n",
" 188.90 \n",
" 186.3300 \n",
" 188.28 \n",
" 17994726 \n",
" 1.08 \n",
" medium_gain \n",
" small \n",
" \n",
" 1 \n",
" True \n",
" \n",
" \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" \n",
" \n",
" 246 \n",
" 123.10 \n",
" 129.74 \n",
" 123.0200 \n",
" 124.06 \n",
" 22066002 \n",
" 0.96 \n",
" small_gain \n",
" small \n",
" \n",
" 12 \n",
" True \n",
" \n",
" \n",
" 247 \n",
" 126.00 \n",
" 134.24 \n",
" 125.8900 \n",
" 134.18 \n",
" 39723370 \n",
" 8.18 \n",
" large_gain \n",
" large \n",
" \n",
" 12 \n",
" True \n",
" \n",
" \n",
" 248 \n",
" 132.44 \n",
" 134.99 \n",
" 129.6700 \n",
" 134.52 \n",
" 31202509 \n",
" 2.08 \n",
" medium_gain \n",
" large \n",
" \n",
" 12 \n",
" True \n",
" \n",
" \n",
" 249 \n",
" 135.34 \n",
" 135.92 \n",
" 132.2000 \n",
" 133.20 \n",
" 22627569 \n",
" -2.14 \n",
" negative \n",
" small \n",
" \n",
" 12 \n",
" False \n",
" \n",
" \n",
" 250 \n",
" 134.45 \n",
" 134.64 \n",
" 129.9500 \n",
" 131.09 \n",
" 24625308 \n",
" -3.36 \n",
" negative \n",
" small \n",
" \n",
" 12 \n",
" False \n",
" \n",
" \n",
"
\n",
"
251 rows × 11 columns
\n",
"
"
],
"text/plain": [
" open high low close vol profit gain size \\\n",
"0 177.68 181.58 177.5500 181.42 18151903 3.74 large_gain small \n",
"1 181.88 184.78 181.3300 184.67 16886563 2.79 medium_gain small \n",
"2 184.90 186.21 184.0996 184.33 13880896 -0.57 negative small \n",
"3 185.59 186.90 184.9300 186.85 13574535 1.26 medium_gain small \n",
"4 187.20 188.90 186.3300 188.28 17994726 1.08 medium_gain small \n",
".. ... ... ... ... ... ... ... ... \n",
"246 123.10 129.74 123.0200 124.06 22066002 0.96 small_gain small \n",
"247 126.00 134.24 125.8900 134.18 39723370 8.18 large_gain large \n",
"248 132.44 134.99 129.6700 134.52 31202509 2.08 medium_gain large \n",
"249 135.34 135.92 132.2000 133.20 22627569 -2.14 negative small \n",
"250 134.45 134.64 129.9500 131.09 24625308 -3.36 negative small \n",
"\n",
" all month positive_profit \n",
"0 1 True \n",
"1 1 True \n",
"2 1 False \n",
"3 1 True \n",
"4 1 True \n",
".. .. ... ... \n",
"246 12 True \n",
"247 12 True \n",
"248 12 True \n",
"249 12 False \n",
"250 12 False \n",
"\n",
"[251 rows x 11 columns]"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.drop('date',axis=1)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Comparing multiple stocks"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"As a last task, we will use the experience we obtained so far -- and learn some new things -- in order to compare the performance of different stocks we obtained from Yahoo finance."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"from tiingo import TiingoClient\n",
"client = TiingoClient({'api_key':'614c1590a592cc6696f6082f83b2666cd83882ef'})\n",
"ticker_history = client.get_dataframe(['GOOGL', 'AAPL'],\n",
" frequency='daily',\n",
" metric_name='close',\n",
" startDate='2017-01-01',\n",
" endDate='2018-05-31')"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" GOOGL \n",
" AAPL \n",
" \n",
" \n",
" \n",
" \n",
" 2017-01-03 00:00:00+00:00 \n",
" 808.01 \n",
" 116.15 \n",
" \n",
" \n",
" 2017-01-04 00:00:00+00:00 \n",
" 807.77 \n",
" 116.02 \n",
" \n",
" \n",
" 2017-01-05 00:00:00+00:00 \n",
" 813.02 \n",
" 116.61 \n",
" \n",
" \n",
" 2017-01-06 00:00:00+00:00 \n",
" 825.21 \n",
" 117.91 \n",
" \n",
" \n",
" 2017-01-09 00:00:00+00:00 \n",
" 827.18 \n",
" 118.99 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" GOOGL AAPL\n",
"2017-01-03 00:00:00+00:00 808.01 116.15\n",
"2017-01-04 00:00:00+00:00 807.77 116.02\n",
"2017-01-05 00:00:00+00:00 813.02 116.61\n",
"2017-01-06 00:00:00+00:00 825.21 117.91\n",
"2017-01-09 00:00:00+00:00 827.18 118.99"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ticker_history.head()"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" META \n",
" GOOG \n",
" TSLA \n",
" MSFT \n",
" NFLX \n",
" \n",
" \n",
" \n",
" \n",
" 2018-01-02 00:00:00+00:00 \n",
" 181.42 \n",
" 1065.00 \n",
" 320.53 \n",
" 85.95 \n",
" 201.07 \n",
" \n",
" \n",
" 2018-01-03 00:00:00+00:00 \n",
" 184.67 \n",
" 1082.48 \n",
" 317.25 \n",
" 86.35 \n",
" 205.05 \n",
" \n",
" \n",
" 2018-01-04 00:00:00+00:00 \n",
" 184.33 \n",
" 1086.40 \n",
" 314.62 \n",
" 87.11 \n",
" 205.63 \n",
" \n",
" \n",
" 2018-01-05 00:00:00+00:00 \n",
" 186.85 \n",
" 1102.23 \n",
" 316.58 \n",
" 88.19 \n",
" 209.99 \n",
" \n",
" \n",
" 2018-01-08 00:00:00+00:00 \n",
" 188.28 \n",
" 1106.94 \n",
" 336.41 \n",
" 88.28 \n",
" 212.05 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" META GOOG TSLA MSFT NFLX\n",
"2018-01-02 00:00:00+00:00 181.42 1065.00 320.53 85.95 201.07\n",
"2018-01-03 00:00:00+00:00 184.67 1082.48 317.25 86.35 205.05\n",
"2018-01-04 00:00:00+00:00 184.33 1086.40 314.62 87.11 205.63\n",
"2018-01-05 00:00:00+00:00 186.85 1102.23 316.58 88.19 209.99\n",
"2018-01-08 00:00:00+00:00 188.28 1106.94 336.41 88.28 212.05"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"stocks = ['META','GOOG','TSLA', 'MSFT','NFLX']\n",
"from tiingo import TiingoClient\n",
"client = TiingoClient({'api_key':'614c1590a592cc6696f6082f83b2666cd83882ef'})\n",
"dfmany = client.get_dataframe(stocks,\n",
" frequency='daily',\n",
" metric_name='close',\n",
" startDate=start,\n",
" endDate=end)\n",
"dfmany.head()"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dfmany.META.plot(label = 'meta')\n",
"dfmany.GOOG.plot(label = 'google')\n",
"dfmany.TSLA.plot(label = 'tesla')\n",
"dfmany.MSFT.plot(label = 'microsoft')\n",
"dfmany.NFLX.plot(label = 'netflix')\n",
"_ = plt.legend(loc='best')"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Next, we will calculate returns over a period of length $T$, defined as:\n",
"\n",
"$$r(t) = \\frac{f(t)-f(t-T)}{f(t)} $$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"The returns can be computed with a simple DataFrame method **`pct_change()`**. Note that for the first $T$ timesteps, this value is not defined (of course):"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" Symbols \n",
" FB \n",
" GOOG \n",
" TSLA \n",
" MSFT \n",
" NFLX \n",
" \n",
" \n",
" date \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" 2018-02-07 \n",
" NaN \n",
" NaN \n",
" NaN \n",
" NaN \n",
" NaN \n",
" \n",
" \n",
" 2018-02-08 \n",
" NaN \n",
" NaN \n",
" NaN \n",
" NaN \n",
" NaN \n",
" \n",
" \n",
" 2018-02-09 \n",
" NaN \n",
" NaN \n",
" NaN \n",
" NaN \n",
" NaN \n",
" \n",
" \n",
" 2018-02-12 \n",
" NaN \n",
" NaN \n",
" NaN \n",
" NaN \n",
" NaN \n",
" \n",
" \n",
" 2018-02-13 \n",
" NaN \n",
" NaN \n",
" NaN \n",
" NaN \n",
" NaN \n",
" \n",
" \n",
" 2018-02-14 \n",
" -0.010473 \n",
" 0.004413 \n",
" 0.005550 \n",
" 0.056545 \n",
" 0.322922 \n",
" \n",
" \n",
" 2018-02-15 \n",
" -0.025505 \n",
" 0.006504 \n",
" 0.053002 \n",
" 0.073075 \n",
" 0.366837 \n",
" \n",
" \n",
" 2018-02-16 \n",
" -0.037813 \n",
" 0.007732 \n",
" 0.066332 \n",
" 0.056136 \n",
" 0.354472 \n",
" \n",
" \n",
" 2018-02-20 \n",
" -0.058014 \n",
" 0.000209 \n",
" 0.057460 \n",
" 0.051366 \n",
" 0.326492 \n",
" \n",
" \n",
" 2018-02-21 \n",
" -0.055078 \n",
" 0.003975 \n",
" -0.009243 \n",
" 0.036362 \n",
" 0.325348 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
"Symbols FB GOOG TSLA MSFT NFLX\n",
"date \n",
"2018-02-07 NaN NaN NaN NaN NaN\n",
"2018-02-08 NaN NaN NaN NaN NaN\n",
"2018-02-09 NaN NaN NaN NaN NaN\n",
"2018-02-12 NaN NaN NaN NaN NaN\n",
"2018-02-13 NaN NaN NaN NaN NaN\n",
"2018-02-14 -0.010473 0.004413 0.005550 0.056545 0.322922\n",
"2018-02-15 -0.025505 0.006504 0.053002 0.073075 0.366837\n",
"2018-02-16 -0.037813 0.007732 0.066332 0.056136 0.354472\n",
"2018-02-20 -0.058014 0.000209 0.057460 0.051366 0.326492\n",
"2018-02-21 -0.055078 0.003975 -0.009243 0.036362 0.325348"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rets = dfmany.pct_change(30)\n",
"rets.iloc[25:35]"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Now we'll plot the timeseries of the returns of the different stocks.\n",
"\n",
"Notice that the `NaN` values are gracefully dropped by the plotting function."
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rets.META.plot(label = 'meta')\n",
"rets.GOOG.plot(label = 'google')\n",
"rets.TSLA.plot(label = 'tesla')\n",
"rets.MSFT.plot(label = 'microsoft')\n",
"rets.NFLX.plot(label = 'netflix')\n",
"_ = plt.legend(loc='best')"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(rets.TSLA, rets.GOOG)\n",
"plt.xlabel('TESLA 30-day returns')\n",
"_ = plt.ylabel('GOOGLE 30-day returns')"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"We can also use the seaborn library for doing the scatterplot. Note that this method returns an object which we can use to set different parameters of the plot. In the example below we use it to set the x and y labels of the plot. Read online for more options."
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [],
"source": [
"dfb = client.get_dataframe('META',frequency='daily', startDate=start, endDate=end)[['open','high','low','close','volume']]\n",
"dgoog = client.get_dataframe('GOOG',frequency='daily', startDate=start, endDate=end)[['open','high','low','close','volume']]"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" open close low high volume\n",
"date \n",
"2018-01-02 00:00:00+00:00 177.68 181.42 177.55 181.58 17694891\n",
"2018-01-03 00:00:00+00:00 181.88 184.67 181.33 184.78 16595495\n",
"2018-01-04 00:00:00+00:00 184.90 184.33 184.10 186.21 13554357\n",
"2018-01-05 00:00:00+00:00 185.59 186.85 184.93 186.90 13042388\n",
"2018-01-08 00:00:00+00:00 187.20 188.28 186.33 188.90 14719216\n",
" open close low high volume\n",
"date \n",
"2018-01-02 00:00:00+00:00 1048.34 1065.00 1045.230 1066.94 1223114\n",
"2018-01-03 00:00:00+00:00 1064.31 1082.48 1063.210 1086.29 1416093\n",
"2018-01-04 00:00:00+00:00 1088.00 1086.40 1084.002 1093.57 990510\n",
"2018-01-05 00:00:00+00:00 1094.00 1102.23 1092.000 1104.25 1210974\n",
"2018-01-08 00:00:00+00:00 1102.23 1106.94 1101.620 1111.27 1003098\n"
]
}
],
"source": [
"start = datetime(2018,1,1)\n",
"end = datetime(2018,12,31)\n",
"\n",
"dfb = client.get_dataframe('META',frequency='daily',startDate=start,endDate=end)\n",
"dfb = dfb[['open','close','low','high','volume']]\n",
"\n",
"dgoog = client.get_dataframe('GOOG',frequency='daily',startDate=start,endDate=end)\n",
"dgoog = dgoog[['open','close','low','high','volume']]\n",
"\n",
"\n",
"print(dfb.head())\n",
"print(dgoog.head())"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [],
"source": [
"def gainrow(row):\n",
" if row.close < row.open:\n",
" return 'negative'\n",
" elif (row.close - row.open) < 1:\n",
" return 'small_gain'\n",
" elif (row.close - row.open) < 3:\n",
" return 'medium_gain'\n",
" else:\n",
" return 'large_gain'\n",
" \n",
"dfb['gain'] = dfb.apply(gainrow, axis = 1)\n",
"dgoog['gain'] = dgoog.apply(gainrow, axis = 1)\n",
"dfb['profit'] = dfb.close-dfb.open\n",
"dgoog['profit'] = dgoog.close-dgoog.open"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'GOOG profit')"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Also using seaborn\n",
"fig = sns.scatterplot(x = dfb.profit, y = dgoog.profit)\n",
"fig.set_xlabel('FB profit')\n",
"fig.set_ylabel('GOOG profit')"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Get all pairwise correlations in a single plot"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"ename": "NameError",
"evalue": "name 'rets' is not defined",
"output_type": "error",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[1;32mIn [48], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m sns\u001b[38;5;241m.\u001b[39mpairplot(\u001b[43mrets\u001b[49m\u001b[38;5;241m.\u001b[39miloc[\u001b[38;5;241m30\u001b[39m:])\n",
"\u001b[1;31mNameError\u001b[0m: name 'rets' is not defined"
]
}
],
"source": [
"sns.pairplot(rets.iloc[30:])"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"There appears to be some (fairly strong) correlation between the movement of TSLA and YELP stocks. Let's measure this."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Correlation Coefficients\n",
"\n",
"The correlation coefficient between variables $X$ and $Y$ is defined as follows:\n",
"\n",
"$$\\text{Corr}(X,Y) = \\frac{E\\left[(X-\\mu_X)(Y-\\mu_Y)\\right]}{\\sigma_X\\sigma_Y}$$\n",
"\n",
"Pandas provides a DataFrame method to compute the correlation coefficient of all pairs of columns: **`corr()`**."
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" Symbols \n",
" FB \n",
" GOOG \n",
" TSLA \n",
" MSFT \n",
" NFLX \n",
" \n",
" \n",
" Symbols \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" FB \n",
" 1.000000 \n",
" 0.598774 \n",
" 0.226680 \n",
" 0.470696 \n",
" 0.546996 \n",
" \n",
" \n",
" GOOG \n",
" 0.598774 \n",
" 1.000000 \n",
" 0.210444 \n",
" 0.790085 \n",
" 0.348008 \n",
" \n",
" \n",
" TSLA \n",
" 0.226680 \n",
" 0.210444 \n",
" 1.000000 \n",
" -0.041910 \n",
" -0.120764 \n",
" \n",
" \n",
" MSFT \n",
" 0.470696 \n",
" 0.790085 \n",
" -0.041910 \n",
" 1.000000 \n",
" 0.489569 \n",
" \n",
" \n",
" NFLX \n",
" 0.546996 \n",
" 0.348008 \n",
" -0.120764 \n",
" 0.489569 \n",
" 1.000000 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
"Symbols FB GOOG TSLA MSFT NFLX\n",
"Symbols \n",
"FB 1.000000 0.598774 0.226680 0.470696 0.546996\n",
"GOOG 0.598774 1.000000 0.210444 0.790085 0.348008\n",
"TSLA 0.226680 0.210444 1.000000 -0.041910 -0.120764\n",
"MSFT 0.470696 0.790085 -0.041910 1.000000 0.489569\n",
"NFLX 0.546996 0.348008 -0.120764 0.489569 1.000000"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rets.corr()"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" Symbols \n",
" FB \n",
" GOOG \n",
" TSLA \n",
" MSFT \n",
" NFLX \n",
" \n",
" \n",
" Symbols \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" FB \n",
" 1.000000 \n",
" 0.540949 \n",
" 0.271608 \n",
" 0.457852 \n",
" 0.641344 \n",
" \n",
" \n",
" GOOG \n",
" 0.540949 \n",
" 1.000000 \n",
" 0.288135 \n",
" 0.803731 \n",
" 0.382466 \n",
" \n",
" \n",
" TSLA \n",
" 0.271608 \n",
" 0.288135 \n",
" 1.000000 \n",
" 0.042190 \n",
" -0.065939 \n",
" \n",
" \n",
" MSFT \n",
" 0.457852 \n",
" 0.803731 \n",
" 0.042190 \n",
" 1.000000 \n",
" 0.456912 \n",
" \n",
" \n",
" NFLX \n",
" 0.641344 \n",
" 0.382466 \n",
" -0.065939 \n",
" 0.456912 \n",
" 1.000000 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
"Symbols FB GOOG TSLA MSFT NFLX\n",
"Symbols \n",
"FB 1.000000 0.540949 0.271608 0.457852 0.641344\n",
"GOOG 0.540949 1.000000 0.288135 0.803731 0.382466\n",
"TSLA 0.271608 0.288135 1.000000 0.042190 -0.065939\n",
"MSFT 0.457852 0.803731 0.042190 1.000000 0.456912\n",
"NFLX 0.641344 0.382466 -0.065939 0.456912 1.000000"
]
},
"execution_count": 60,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rets.corr(method='spearman')"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"It takes a bit of time to examine that table and draw conclusions. \n",
"\n",
"To speed that process up it helps to visualize the table using a heatmap."
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_ = sns.heatmap(rets.corr(), annot=True)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Computing p-values\n",
"\n",
"Use the scipy.stats library to obtain the p-values for the pearson and spearman rank correlations"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PearsonRResult(statistic=-0.12076398569612257, pvalue=0.0731862052389361)\n",
"SpearmanrResult(correlation=-0.065938830644713, pvalue=0.32918605296193537)\n",
"PearsonRResult(statistic=0.5987743268934734, pvalue=6.85914166684247e-23)\n",
"SpearmanrResult(correlation=0.5409485585956174, pvalue=3.388893335195231e-18)\n"
]
}
],
"source": [
"print(stats.pearsonr(rets.iloc[30:].NFLX, rets.iloc[30:].TSLA))\n",
"print(stats.spearmanr(rets.iloc[30:].NFLX, rets.iloc[30:].TSLA))\n",
"print(stats.pearsonr(rets.iloc[30:].GOOG, rets.iloc[30:].FB))\n",
"print(stats.spearmanr(rets.iloc[30:].GOOG, rets.iloc[30:].FB))"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PearsonRResult(statistic=0.750317985789302, pvalue=1.1738178432513165e-46)\n",
"SpearmanrResult(correlation=0.7189444847093646, pvalue=3.2346313802209346e-41)\n"
]
}
],
"source": [
"print(stats.pearsonr(dfb.profit, dgoog.profit))\n",
"print(stats.spearmanr(dfb.profit, dgoog.profit))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Matplotlib\n",
"\n",
"Finally, it is important to know that the plotting performed by Pandas is just a layer on top of `matplotlib` (i.e., the `plt` package). \n",
"\n",
"So Panda's plots can (and should) be replaced or improved by using additional functions from `matplotlib`."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"For example, suppose we want to know both the returns as well as the standard deviation of the returns of a stock (i.e., its risk). \n",
"\n",
"Here is visualization of the result of such an analysis, and we construct the plot using only functions from `matplotlib`."
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_ = plt.scatter(rets.mean(), rets.std())\n",
"plt.xlabel('Expected returns')\n",
"plt.ylabel('Standard Deviation (Risk)')\n",
"for label, x, y in zip(rets.columns, rets.mean(), rets.std()):\n",
" plt.annotate(\n",
" label, \n",
" xy = (x, y), xytext = (20, -20),\n",
" textcoords = 'offset points', ha = 'right', va = 'bottom',\n",
" bbox = dict(boxstyle = 'round,pad=0.5', fc = 'yellow', alpha = 0.5),\n",
" arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"To understand what these functions are doing, (especially the `annotate` function), you will need to consult the online documentation for matplotlib. Just use Google to find it."
]
}
],
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.12"
}
},
"nbformat": 4,
"nbformat_minor": 2
}