{
"cells": [
{
"cell_type": "code",
"execution_count": 583,
"metadata": {},
"outputs": [],
"source": [
"#import all libraries needed\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import pandas as pd\n",
"import numpy as np\n",
"import pylab\n",
"import math\n",
"\n",
"from scipy import stats\n",
"\n",
"import statsmodels.api as sm\n",
"from statsmodels.stats import diagnostic as diag\n",
"from statsmodels.stats.outliers_influence import variance_inflation_factor\n",
"\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.metrics import mean_squared_error, r2_score, mean_absolute_error\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 584,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" videoViews \n",
" titleLength \n",
" numCaps \n",
" numPuncs \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 5718766 \n",
" 96 \n",
" 12 \n",
" 0 \n",
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" 2742984 \n",
" 28 \n",
" 3 \n",
" 0 \n",
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" 2 \n",
" 2682879 \n",
" 33 \n",
" 5 \n",
" 0 \n",
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" \n",
" 3 \n",
" 1846670 \n",
" 54 \n",
" 8 \n",
" 1 \n",
" \n",
" \n",
" 4 \n",
" 1788176 \n",
" 56 \n",
" 18 \n",
" 0 \n",
" \n",
" \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" \n",
" \n",
" 25694 \n",
" 890248 \n",
" 22 \n",
" 7 \n",
" 0 \n",
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" 1065386 \n",
" 29 \n",
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" 25696 \n",
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" 3 \n",
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" 30 \n",
" 6 \n",
" 0 \n",
" \n",
" \n",
"
\n",
"
25699 rows × 4 columns
\n",
"
"
],
"text/plain": [
" videoViews titleLength numCaps numPuncs\n",
"0 5718766 96 12 0\n",
"1 2742984 28 3 0\n",
"2 2682879 33 5 0\n",
"3 1846670 54 8 1\n",
"4 1788176 56 18 0\n",
"... ... ... ... ...\n",
"25694 890248 22 7 0\n",
"25695 1065386 29 17 0\n",
"25696 360652 45 6 0\n",
"25697 4178111 27 3 0\n",
"25698 653913 30 6 0\n",
"\n",
"[25699 rows x 4 columns]"
]
},
"execution_count": 584,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#choose file to get data from\n",
"filein = 'oldAndNewOnlyEnglish_noDuplicatesWithLikesAndComments.csv'\n",
"\n",
"#load data\n",
"columns = [\"videoTitle\", \"videoViews\"]\n",
"df = pd.read_csv(filein, usecols = columns)\n",
"titles_df = df[\"videoTitle\"]\n",
"views_df = df[\"videoViews\"]\n",
"data_df = df[\"videoViews\"]\n",
"\n",
"#Get different title analyses\n",
"titleLengths_df = titles_df.str.len()\n",
"titleLengths_df = titleLengths_df.rename('titleLength')\n",
"numCaps_df = titles_df.str.count(r'[A-Z]')\n",
"numCaps_df = numCaps_df.rename('numCaps')\n",
"numPuncs_df = titles_df.str.count('!') + titles_df.str.count('\\?')\n",
"numPuncs_df = numPuncs_df.rename('numPuncs')\n",
"\n",
"#combine into one dataframe\n",
"data_df = pd.concat([views_df, titleLengths_df, numCaps_df,\n",
" numPuncs_df], axis = 1)\n",
"data_df\n"
]
},
{
"cell_type": "code",
"execution_count": 585,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" videoViews \n",
" titleLength \n",
" numCaps \n",
" numPuncs \n",
" \n",
" \n",
" \n",
" \n",
" videoViews \n",
" 1.000000 \n",
" -0.019309 \n",
" -0.015410 \n",
" -0.027555 \n",
" \n",
" \n",
" titleLength \n",
" -0.019309 \n",
" 1.000000 \n",
" 0.338878 \n",
" 0.016766 \n",
" \n",
" \n",
" numCaps \n",
" -0.015410 \n",
" 0.338878 \n",
" 1.000000 \n",
" 0.263317 \n",
" \n",
" \n",
" numPuncs \n",
" -0.027555 \n",
" 0.016766 \n",
" 0.263317 \n",
" 1.000000 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" videoViews titleLength numCaps numPuncs\n",
"videoViews 1.000000 -0.019309 -0.015410 -0.027555\n",
"titleLength -0.019309 1.000000 0.338878 0.016766\n",
"numCaps -0.015410 0.338878 1.000000 0.263317\n",
"numPuncs -0.027555 0.016766 0.263317 1.000000"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"const 7.342981\n",
"videoViews 1.001120\n",
"titleLength 1.137312\n",
"numCaps 1.221353\n",
"numPuncs 1.082106\n",
"dtype: float64"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#checking for perfect multicolinearity\n",
"correlation = data_df.corr()\n",
"display(correlation)\n",
"sns.heatmap(correlation, xticklabels = correlation.columns,\n",
" yticklabels = correlation.columns, cmap = \"Spectral\")\n",
"\n",
"#as seen below there is no very high or very low correlations\n",
"#therefore we probably do not need to eliminate any columns\n",
"#but lets just make sure by checking with variance_inflation_factor\n",
"cx = sm.tools.add_constant(data_df)\n",
"series = pd.Series([variance_inflation_factor(cx.values, i)\n",
" for i in range(cx.shape[1])], \n",
" index = cx.columns)\n",
"display(series)\n",
"\n",
"#since the general rule is to remove if greater than five, we \n",
"#will not need to remove any coumns (and I'm choosing to keep const)"
]
},
{
"cell_type": "code",
"execution_count": 586,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"29.807410149113874\n",
"0.384199060508636\n",
"2.3226704326968606\n",
"3.451420353780659\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" videoViews \n",
" titleLength \n",
" numCaps \n",
" numPuncs \n",
" \n",
" \n",
" \n",
" \n",
" count \n",
" 2.569900e+04 \n",
" 25699.000000 \n",
" 25699.000000 \n",
" 25699.000000 \n",
" \n",
" \n",
" mean \n",
" 1.236903e+06 \n",
" 52.711662 \n",
" 11.302697 \n",
" 0.241838 \n",
" \n",
" \n",
" std \n",
" 6.599134e+06 \n",
" 21.398028 \n",
" 9.484438 \n",
" 0.604481 \n",
" \n",
" \n",
" min \n",
" 5.590000e+02 \n",
" 1.000000 \n",
" 0.000000 \n",
" 0.000000 \n",
" \n",
" \n",
" 25% \n",
" 1.247540e+05 \n",
" 36.000000 \n",
" 5.000000 \n",
" 0.000000 \n",
" \n",
" \n",
" 50% \n",
" 3.241420e+05 \n",
" 50.000000 \n",
" 9.000000 \n",
" 0.000000 \n",
" \n",
" \n",
" 75% \n",
" 8.401375e+05 \n",
" 67.000000 \n",
" 14.000000 \n",
" 0.000000 \n",
" \n",
" \n",
" max \n",
" 4.245389e+08 \n",
" 100.000000 \n",
" 83.000000 \n",
" 9.000000 \n",
" \n",
" \n",
" +2_std \n",
" 1.443517e+07 \n",
" 95.507718 \n",
" 30.271572 \n",
" 1.450800 \n",
" \n",
" \n",
" -2_std \n",
" -1.196137e+07 \n",
" 9.915606 \n",
" -7.666179 \n",
" -0.967124 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" videoViews titleLength numCaps numPuncs\n",
"count 2.569900e+04 25699.000000 25699.000000 25699.000000\n",
"mean 1.236903e+06 52.711662 11.302697 0.241838\n",
"std 6.599134e+06 21.398028 9.484438 0.604481\n",
"min 5.590000e+02 1.000000 0.000000 0.000000\n",
"25% 1.247540e+05 36.000000 5.000000 0.000000\n",
"50% 3.241420e+05 50.000000 9.000000 0.000000\n",
"75% 8.401375e+05 67.000000 14.000000 0.000000\n",
"max 4.245389e+08 100.000000 83.000000 9.000000\n",
"+2_std 1.443517e+07 95.507718 30.271572 1.450800\n",
"-2_std -1.196137e+07 9.915606 -7.666179 -0.967124"
]
},
"execution_count": 586,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#lets look at the data again\n",
"desc_df = data_df.describe()\n",
"desc_df.loc['+2_std'] = desc_df.loc['mean'] + (desc_df.loc['std']*2)\n",
"desc_df.loc['-2_std'] = desc_df.loc['mean'] - (desc_df.loc['std']*2)\n",
"print(data_df['videoViews'].skew())\n",
"print(data_df['titleLength'].skew())\n",
"print(data_df['numCaps'].skew())\n",
"print(data_df['numPuncs'].skew())\n",
"\n",
"desc_df\n",
"#as we can see below, videoViews has the most skew, so we should \n",
"#change that somehow"
]
},
{
"cell_type": "code",
"execution_count": 587,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 587,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#lets fix the views skew!\n",
"#show original disaster\n",
"sns.distplot(data_df['videoViews'])"
]
},
{
"cell_type": "code",
"execution_count": 588,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 588,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#remove excessively outlied outliers\n",
"viewdes = data_df['videoViews'].describe()\n",
"std = viewdes.get(key = 'std')\n",
"mean = viewdes.get(key = 'mean')\n",
"meandist = abs(data_df['videoViews'] - mean)\n",
"nonoutlier = meandist < std\n",
"data_df = data_df[nonoutlier]\n",
"#plot difference now that outliers have been removed\n",
"sns.distplot(data_df['videoViews'])"
]
},
{
"cell_type": "code",
"execution_count": 589,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-0.45682495110454735\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" logViews \n",
" videoViews \n",
" titleLength \n",
" numCaps \n",
" numPuncs \n",
" \n",
" \n",
" \n",
" \n",
" count \n",
" 25155.000000 \n",
" 2.515500e+04 \n",
" 25155.000000 \n",
" 25155.000000 \n",
" 25155.000000 \n",
" \n",
" \n",
" mean \n",
" 12.582666 \n",
" 7.019096e+05 \n",
" 52.743550 \n",
" 11.336752 \n",
" 0.244643 \n",
" \n",
" \n",
" std \n",
" 1.453990 \n",
" 1.063100e+06 \n",
" 21.371637 \n",
" 9.521765 \n",
" 0.607016 \n",
" \n",
" \n",
" min \n",
" 6.326149 \n",
" 5.590000e+02 \n",
" 1.000000 \n",
" 0.000000 \n",
" 0.000000 \n",
" \n",
" \n",
" 25% \n",
" 11.709088 \n",
" 1.216725e+05 \n",
" 37.000000 \n",
" 5.000000 \n",
" 0.000000 \n",
" \n",
" \n",
" 50% \n",
" 12.653374 \n",
" 3.128170e+05 \n",
" 50.000000 \n",
" 9.000000 \n",
" 0.000000 \n",
" \n",
" \n",
" 75% \n",
" 13.573064 \n",
" 7.847060e+05 \n",
" 67.000000 \n",
" 14.000000 \n",
" 0.000000 \n",
" \n",
" \n",
" max \n",
" 15.868992 \n",
" 7.794990e+06 \n",
" 100.000000 \n",
" 83.000000 \n",
" 9.000000 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" logViews videoViews titleLength numCaps numPuncs\n",
"count 25155.000000 2.515500e+04 25155.000000 25155.000000 25155.000000\n",
"mean 12.582666 7.019096e+05 52.743550 11.336752 0.244643\n",
"std 1.453990 1.063100e+06 21.371637 9.521765 0.607016\n",
"min 6.326149 5.590000e+02 1.000000 0.000000 0.000000\n",
"25% 11.709088 1.216725e+05 37.000000 5.000000 0.000000\n",
"50% 12.653374 3.128170e+05 50.000000 9.000000 0.000000\n",
"75% 13.573064 7.847060e+05 67.000000 14.000000 0.000000\n",
"max 15.868992 7.794990e+06 100.000000 83.000000 9.000000"
]
},
"execution_count": 589,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"viewslog = np.log(data_df['videoViews'])\n",
"sns.distplot(viewslog)\n",
"print(viewslog.skew())\n",
"viewslog = viewslog.rename(index = \"logViews\")\n",
"data_df = pd.concat((viewslog, data_df), axis = 1)\n",
"desc_df = data_df.describe()\n",
"desc_df"
]
},
{
"cell_type": "code",
"execution_count": 590,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None, normalize=False)"
]
},
"execution_count": 590,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#lets build the model\n",
"#separate inputs and outputs\n",
"x = data_df.drop({'videoViews', 'logViews'}, axis = 1)\n",
"y = data_df[['logViews']]\n",
"\n",
"#split into training and testing\n",
"xtrain, xtest, ytrain, ytest = train_test_split(\n",
" x, y, test_size = 0.20, random_state = 1)\n",
"\n",
"regmod = LinearRegression()\n",
"regmod.fit(xtrain, ytrain)"
]
},
{
"cell_type": "code",
"execution_count": 591,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[299464.93801491],\n",
" [280805.29273467],\n",
" [273969.55201867],\n",
" [322242.23219033],\n",
" [275759.08822761]])"
]
},
"execution_count": 591,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#lets test some stuff!\n",
"ypred = np.exp(regmod.predict(xtest))\n",
"\n",
"ypred[:5]"
]
},
{
"cell_type": "code",
"execution_count": 592,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5.001975610824008e-27 4.317400294824201e-27\n"
]
}
],
"source": [
"#check fit of model\n",
"dx = sm.add_constant(x)\n",
"model = sm.OLS(y, dx)\n",
"fitx = model.fit()\n",
"\n",
"#run breusch-pagan test for heteroscedaticity\n",
"_,pval,_,fpval = diag.het_breuschpagan(fitx.resid,\n",
" fitx.model.exog,)\n",
"print(pval, fpval)\n",
"#since pvals are more significant than 0.05, this is where we fail\n",
"# to reject that there is no heterodasticity (a good thing)"
]
},
{
"cell_type": "code",
"execution_count": 593,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/Preethi/opt/anaconda3/lib/python3.7/site-packages/statsmodels/stats/diagnostic.py:524: FutureWarning: The value returned will change to a single DataFrame after 0.12 is released. Set return_df to True to use to return a DataFrame now. Set return_df to False to silence this warning.\n",
" warnings.warn(msg, FutureWarning)\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.0\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#check autocorrelation use ljung-box test\n",
"lag = min(10, (len(x)//5))\n",
"\n",
"tests = diag.acorr_ljungbox(fitx.resid, lags = lag)\n",
"\n",
"ibval, pval = tests\n",
"\n",
"print(min(pval))\n",
"#since the smallest pval is so small, we reject that the data\n",
"#is random (a not so good thing)\n",
"\n",
"#lets plot for visual confirmation\n",
"sm.graphics.tsa.plot_acf(fitx.resid)\n",
"plt.show()\n",
"#those few values goimg outside the range indicate autocorrelation"
]
},
{
"cell_type": "code",
"execution_count": 594,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"4.03431787855044e-15"
]
},
"execution_count": 594,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#check means of residuals = 0 \n",
"sm.qqplot(fitx.resid, line = 's')\n",
"pylab.show()\n",
"meanres = sum(fitx.resid)/len(fitx.resid)\n",
"meanres\n",
"\n",
"#the mean is close to zero, though it could be closer, but \n",
"#we're good to move on"
]
},
{
"cell_type": "code",
"execution_count": 595,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"291750.6600903054"
]
},
"execution_count": 595,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#use rmse to check error of model\n",
"rmse = math.sqrt(mean_squared_error(ytest, ypred))\n",
"rmse\n",
"#this is in views btw"
]
},
{
"cell_type": "code",
"execution_count": 596,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: logViews R-squared: 0.004\n",
"Model: OLS Adj. R-squared: 0.003\n",
"Method: Least Squares F-statistic: 30.26\n",
"Date: Sun, 12 Jul 2020 Prob (F-statistic): 1.62e-19\n",
"Time: 22:13:55 Log-Likelihood: -45063.\n",
"No. Observations: 25155 AIC: 9.013e+04\n",
"Df Residuals: 25151 BIC: 9.017e+04\n",
"Df Model: 3 \n",
"Covariance Type: nonrobust \n",
"===============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"-------------------------------------------------------------------------------\n",
"const 12.6416 0.025 510.946 0.000 12.593 12.690\n",
"titleLength -0.0030 0.000 -6.511 0.000 -0.004 -0.002\n",
"numCaps 0.0079 0.001 7.486 0.000 0.006 0.010\n",
"numPuncs 0.0316 0.016 2.016 0.044 0.001 0.062\n",
"==============================================================================\n",
"Omnibus: 901.514 Durbin-Watson: 0.391\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 1041.260\n",
"Skew: -0.444 Prob(JB): 7.82e-227\n",
"Kurtosis: 3.453 Cond. No. 158.\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
}
],
"source": [
"#summary of model output\n",
"print(fitx.summary())"
]
},
{
"cell_type": "code",
"execution_count": 597,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Given these parameters for a video title:\n",
"Length: 10\n",
"Number of Capital Letters: 10\n",
"Number of Punctiation Marks (! and ?): 0\n",
"The number of views on the video will be 324666 views.\n",
" logViews predicted\n",
"6437 155012.0 280805.292735\n",
"21730 644853.0 273969.552019\n",
"17516 551608.0 322242.232190\n",
"23329 202821.0 275759.088228\n",
"7929 541482.0 379415.535055\n",
"... ... ...\n",
"10250 490391.0 371049.893731\n",
"13453 138596.0 293581.418428\n",
"24019 343286.0 281090.743995\n",
"24863 669179.0 261963.837403\n",
"3657 197588.0 283214.402838\n",
"\n",
"[2988 rows x 2 columns]\n",
" logViews predicted\n",
"6437 155012.0 280805.292735\n",
"21730 644853.0 273969.552019\n",
"17516 551608.0 322242.232190\n",
"23329 202821.0 275759.088228\n",
"7929 541482.0 379415.535055\n",
"22689 350217.0 265295.888430\n",
"3352 362629.0 280226.157217\n",
"15397 300292.0 375793.877659\n",
"6716 166418.0 288104.163659\n",
"23499 340886.0 353426.268623\n",
"19698 182925.0 307153.461785\n",
"12519 183893.0 252970.203706\n",
"7263 560358.0 291766.779811\n",
"8434 387312.0 294786.569979\n",
"2808 765085.0 286434.664049\n",
"24497 546459.0 293078.347310\n",
"3517 167183.0 286434.664049\n",
"23695 664615.0 299571.598831\n",
"7163 465954.0 363529.394157\n",
"8755 615784.0 382254.686055\n",
"2954 136109.0 285173.236418\n",
"18382 385436.0 298441.482525\n",
"395 624406.0 288598.696556\n",
"11800 147411.0 264118.974560\n",
"23718 269122.0 359919.487570\n"
]
},
{
"data": {
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J0oi2tIc7dwfuzszfAvsAp5b2U4F3luF9gO9l5SpgzYgYB+wJXJyZCzPzMeBiYFoZt3pmXpmZCXyvX1a7eUiSJI1oS1uk7Q/8qAyvl5kPAZSfryrtGwAPtLxmQWkbqH1Bm/aB5iFJkjSiRbXzahATRqwEPAi8MTP/EBGPZ+aaLeMfy8y1IuJ84MjMvLy0XwL8E/AW4BWZ+cXS/jmqQ6e/KtO/tbTvAvxTZv5Vp3m0WbaZVIdLGTtu7ORDfnjIoH6nOffNYeqEqYOadmn0KreX2cMtt5fZwy23l9nDLbeX2U3OPfYXdy7WtvXrH3Qd9zi3l9nDLbeX2cMtd2mzj9jtiOsyc0rbkZk5qAfVoceftzy/AxhXhscBd5ThE4Dp/acDpgMntLSfUNrGAbe3tL84Xad5DPSYPHlyDtbhlx4+6GmXRq9ye5k93HJ7mT3ccnuZPdxye5nd5NyNDvvpYg/Xce9ze5k93HJ7mT3ccpc2G7g2O9Q0S3O4czovHeoEOA/o66E5Azi3pf2A0stzB+CJrA5VXgTsERFrlQ4DewAXlXFPRsQOpVfnAf2y2s1DkiRpRBs9mIkiYhXgbcCHW5qPAs6MiIOA+4H9SvsFwN7AfKrDmR8EyMyFEfEFYG6Z7vOZubAMHwycAqwM/Kw8BpqHJEnSiDaoIi0znwbG9mt7lKq3Z/9pE/hYh5yTgZPbtF8LbN6mve08JEmSRjrvOCBJktRAFmmSJEkNZJEmSZLUQBZpkiRJDWSRJkmS1EAWaZIkSQ1kkSZJktRAFmmSJEkNZJEmSZLUQBZpkiRJDWSRJkmS1EAWaZIkSQ1kkSZJktRAFmmSJEkNNHpZL4AkSd0yYdb5i7UdOG0ZLIjUBe5JkyRJaiCLNEmSpAaySJMkSWogizRJkqQGskiTJElqIIs0SZKkBrJIkyRJaiCLNEmSpAaySJMkSWogizRJkqQG8rZQNXkLEkmS1AvuSZMkSWogizRJkqQGskiTJElqIIs0SZKkBrJIkyRJaiCLNEmSpAaySJMkSWogizRJkqQGskiTJElqIIs0SZKkBvK2UJIkaZlrd5tFWL5vteieNEmSpAaySJMkSWogizRJkqQGskiTJElqIDsOSJK0jHiyvAbinjRJkqQGskiTJElqIIs0SZKkBhpUkRYRa0bEWRFxe0TcFhE7RsTaEXFxRNxVfq5Vpo2IOC4i5kfETRGxTUvOjDL9XRExo6V9ckTcXF5zXEREaW87D0mSpJFusHvSvg5cmJmbAFsBtwGzgEsycxJwSXkOsBcwqTxmAt+GquACDge2B7YDDm8pur5dpu17Xd8pk53mIUmSNKItsUiLiNWBXYGTADLzL5n5OLAPcGqZ7FTgnWV4H+B7WbkKWDMixgF7Ahdn5sLMfAy4GJhWxq2emVdmZgLf65fVbh6SJEkj2mD2pL0WeBj4bkTcEBH/ERGvBNbLzIcAys9Xlek3AB5oef2C0jZQ+4I27QwwD0mSpBEtqp1XA0wQMQW4CtgpM6+OiK8DfwI+nplrtkz3WGauFRHnA0dm5uWl/RLgn4C3AK/IzC+W9s8BTwO/KtO/tbTvAvxTZv5VRDzebh5tlnEm1eFSxo4bO/mQHx4yqF9+zn1zmDph6qCm7eTYX9y5WNvWr3+wdm4n3VjmkZDby+zhltvL7OGW28vsJuf6OfSS4bYu2i0v9G6Zm/zeW17XxRG7HXFdZk5pOzIzB3wA6wP3tTzfBTgfuAMYV9rGAXeU4ROA6S3T31HGTwdOaGk/obSNA25vaX9xuk7zGOgxefLkHKzDLz180NN2stFhP13s0Y3cTnqVPdxye5k93HJ7mT3ccnuZ3eRcP4deMtzWRbvl7eUyuy5e0pR1AVybHWqaJR7uzMzfAw9ExMalaXfgN8B5QF8PzRnAuWX4POCA0stzB+CJrA5VXgTsERFrlQ4DewAXlXFPRsQOpVfnAf2y2s1DkiRpRBvsbaE+DpwWESsB9wAfpDqf7cyIOAi4H9ivTHsBsDcwn+pw5gcBMnNhRHwBmFum+3xmLizDBwOnACsDPysPgKM6zEOSJGlEG1SRlpnzgHbHS3dvM20CH+uQczJwcpv2a4HN27Q/2m4ekiRJI513HJAkSWogizRJkqQGskiTJElqIIs0SZKkBrJIkyRJaiCLNEmSpAaySJMkSWogizRJkqQGskiTJElqIIs0SZKkBrJIkyRJaiCLNEmSpAaySJMkSWogizRJkqQGskiTJElqIIs0SZKkBrJIkyRJaqDRy3oBJKlJJsw6v237gdNe5gWRtNxzT5okSVIDWaRJkiQ1kEWaJElSA3lOWkN5XowkScs396RJkiQ1kEWaJElSA3m4U5LUlqddSMuWe9IkSZIayCJNkiSpgTzcqa5pd2jEwyKSJA2Ne9IkSZIayCJNkiSpgSzSJEmSGsgiTZIkqYEs0iRJkhrIIk2SJKmBLNIkSZIayCJNkiSpgSzSJEmSGsgiTZIkqYEs0iRJkhrIIk2SJKmBLNIkSZIayCJNkiSpgSzSJEmSGsgiTZIkqYEs0iRJkhrIIk2SJKmBBlWkRcR9EXFzRMyLiGtL29oRcXFE3FV+rlXaIyKOi4j5EXFTRGzTkjOjTH9XRMxoaZ9c8ueX18ZA85AkSRrplmZP2m6ZuXVmTinPZwGXZOYk4JLyHGAvYFJ5zAS+DVXBBRwObA9sBxzeUnR9u0zb97ppS5iHJEnSiFbncOc+wKll+FTgnS3t38vKVcCaETEO2BO4ODMXZuZjwMXAtDJu9cy8MjMT+F6/rHbzkCRJGtGiqouWMFHEvcBjQAInZOaJEfF4Zq7ZMs1jmblWRPwUOCozLy/tlwCHAVOBMZn5xdL+OeB/gTll+reW9l2AwzLzHZ3m0Wb5ZlLtiWPsuLGTD/nhIYP65efcN4epE6YOatpOjv3FnYu1bf36B3uS263sdpq8LjrpxjKPhNxeZg+33G5k+94bOLdb2e00eV10sjxub73KXl7XxRG7HXFdy1HKRYwe5Px2yswHI+JVwMURcfsA00abthxC+6Bl5onAiQBTpkzJ2VNnD+p1s+fMZrDTdnLKhecv1jZ1wtye5HYru50mr4tOurHMIyG3l9nDLbcb2b73Bs7tVnY7TV4XnSyP21uvspfXdXEER3QcN6jDnZn5YPn5R+AnVOeU/aEcqqT8/GOZfAGwYcvLxwMPLqF9fJt2BpiHJEnSiLbEIi0iXhkRq/UNA3sAtwDnAX09NGcA55bh84ADSi/PHYAnMvMh4CJgj4hYq3QY2AO4qIx7MiJ2KL06D+iX1W4ekiRJI9pgDneuB/ykXBVjNPDDzLwwIuYCZ0bEQcD9wH5l+guAvYH5wNPABwEyc2FEfAGYW6b7fGYuLMMHA6cAKwM/Kw+AozrMQ5IkaURbYpGWmfcAW7VpfxTYvU17Ah/rkHUycHKb9muBzQc7D0mSpJHOOw5IkiQ1kEWaJElSA1mkSZIkNZBFmiRJUgNZpEmSJDWQRZokSVIDWaRJkiQ1kEWaJElSA1mkSZIkNZBFmiRJUgNZpEmSJDWQRZokSVIDWaRJkiQ10OhlvQCSJDXdhFnnt20/cNrLvCBarrgnTZIkqYEs0iRJkhrIIk2SJKmBLNIkSZIayCJNkiSpgSzSJEmSGsgiTZIkqYEs0iRJkhrIIk2SJKmBLNIkSZIayCJNkiSpgSzSJEmSGsgiTZIkqYEs0iRJkhrIIk2SJKmBLNIkSZIayCJNkiSpgSzSJEmSGsgiTZIkqYEs0iRJkhrIIk2SJKmBLNIkSZIayCJNkiSpgSzSJEmSGsgiTZIkqYEs0iRJkhrIIk2SJKmBLNIkSZIayCJNkiSpgSzSJEmSGsgiTZIkqYEGXaRFxKiIuCEiflqeT4yIqyPirog4IyJWKu2vKM/nl/ETWjI+W9rviIg9W9qnlbb5ETGrpb3tPCRJkka6pdmTdihwW8vzLwPHZOYk4DHgoNJ+EPBYZr4eOKZMR0RsBuwPvBGYBnyrFH6jgOOBvYDNgOll2oHmIUmSNKINqkiLiPHA24H/KM8DeAtwVpnkVOCdZXif8pwyfvcy/T7A6Zn558y8F5gPbFce8zPznsz8C3A6sM8S5iFJkjSiRWYueaKIs4AjgdWATwMHAleVvWVExIbAzzJz84i4BZiWmQvKuLuB7YHZ5TU/KO0nAT8rs5iWmR8q7R/oN/1i82izfDOBmQBjx42dfMgPDxnULz/nvjlMnTB1UNN2cuwv7lysbevXP9iT3G5lt9PkddFJN5Z5JOT2Mnu45XYj2/fewLndym5neVwXw3Ed9yp7eV0XR+x2xHWZOaXduNFLenFEvAP4Y2ZeFxF9c4w2k+YSxnVqb7c3b6DpF2/MPBE4EWDKlCk5e+rsdpMtZvac2Qx22k5OufD8xdqmTpjbk9xuZbfT5HXRSTeWeSTk9jJ7uOV2I9v33sC53cpuZ3lcF8NxHfcqe3ldF0dwRMdxSyzSgJ2Av46IvYExwOrAscCaETE6M58DxgMPlukXABsCCyJiNLAGsLClvU/ra9q1PzLAPCRJkka0JZ6TlpmfzczxmTmB6sT//87MvwUuBfYtk80Azi3D55XnlPH/ndUx1fOA/Uvvz4nAJOAaYC4wqfTkXKnM47zymk7zkCRJGtHqXCftMOBTETEfGAucVNpPAsaW9k8BswAy81bgTOA3wIXAxzLz+bKX7BDgIqreo2eWaQeahyRJ0og2mMOdL8rMOcCcMnwPVc/M/tM8A+zX4fVfAr7Upv0C4II27W3nIUmSNNJ5xwFJkqQGWqo9aZKkoZswa/HeawdOWwYLImlYsEiTJEmD1u7LBviFoxc83ClJktRA7kmTJKlp5hwJc45ZvH32Ey//smiZcU+aJElSA7knTb3lt0FJkobEIk16uViwSpKWgoc7JUmSGsgiTZIkqYEs0iRJkhrIIk2SJKmBLNIkSZIayCJNkiSpgbwEhyRJQ9Xu0jpeVkddYpGm5ZY3CZYkNZlFmiRJUjd1aQ+r56RJkiQ1kEWaJElSA1mkSZIkNZDnpEnqzJ5rkrTMWKSp8eyFKUlaHnm4U5IkqYEs0iRJkhrIIk2SJKmBLNIkSZIayI4Dkjp3zhjzMi+IJOlF7kmTJElqIIs0SZKkBrJIkyRJaiCLNEmSpAaySJMkSWogizRJkqQGskiTJElqIIs0SZKkBrJIkyRJaiDvODDczDkS5hyzaNvsJ5bNskiSpJ5xT5okSVIDWaRJkiQ1kEWaJElSA1mkSZIkNZBFmiRJUgNZpEmSJDWQRZokSVIDWaRJkiQ10BKLtIgYExHXRMSNEXFrRBxR2idGxNURcVdEnBERK5X2V5Tn88v4CS1Zny3td0TEni3t00rb/IiY1dLedh6Shrk5R8LsNRZ/SJJeNJg9aX8G3pKZWwFbA9MiYgfgy8AxmTkJeAw4qEx/EPBYZr4eOKZMR0RsBuwPvBGYBnwrIkZFxCjgeGAvYDNgepmWAeYhSZI0oi2xSMvKU+XpiuWRwFuAs0r7qcA7y/A+5Tll/O4REaX99Mz8c2beC8wHtiuP+Zl5T2b+BTgd2Ke8ptM8JEmSRrRB3buz7O26Dng91V6vu4HHM/O5MskCYIMyvAHwAEBmPhcRTwBjS/tVLbGtr3mgX/v25TWd5iE12oRZ5y/WduCYZbAgkqRha1BFWmY+D2wdEWsCPwE2bTdZ+RkdxnVqb7c3b6DpFxMRM4GZAGPHjWX2nNntJlvMnPvmDHraTh4ffWeb3Ad7kgswh+eYzTP9GuvNC3q4LtotLyzVMndcFzXXc69yO2V3Y110Uvfv97Jvb8NxXfRquxhmud3Kbp/bo8+hOWcwe86Ri0889bO1cqH+e2Spcpcyu21uj9YxdFjP3VjHDd7eOmZ36bNzUEVan8x8PCLmADsAa0bE6LKnazzwYJlsAbAhsCAiRgNrAAtb2vu0vqZd+yMDzKP/cp0InAgwZcqUnD119qB+n9lzZjPYaTs55cLF95hMnTC3J7kAU0efzWz67ZKpOS/o4bpot7ywVMvccV3UXM+9yu2U3Y110Undv9/Lv70dOfzWRa+2i2GW263sdobl51DN98hS5S5ldju9WsfQw3XR4O2tc3abz7gO8zqCIzrmDKZ357plD7UXr8kAACAASURBVBoRsTLwVuA24FJg3zLZDODcMnxeeU4Z/9+ZmaV9/9L7cyIwCbgGmAtMKj05V6LqXHBeeU2neUjSyGBPV0kdDGZP2jjg1HJe2grAmZn504j4DXB6RHwRuAE4qUx/EvD9iJhPtQdtf4DMvDUizgR+AzwHfKwcRiUiDgEuAkYBJ2fmrSXrsA7zkCQtK3OOhDnHLNo2+4llsyzSCLbEIi0zbwLe1Kb9Hqqemf3bnwH265D1JeBLbdovAC4Y7Dwk6WVnYSLpZeYdByRJkhpoqToOSGoo9/JIGqnafb7BcvEZZ5EmSSPRcPzHNhyXWeohizRJkpYXFsLDiuekSZIkNdDyvSfNbxRqx/O7JEkN4J40SZKkBrJIkyRJaqDl+3CnXuKhX0mSGsUirRcseCRJUk0e7pQkSWog96RJkiQNwYRZ57dtP3BMd/LdkyZJktRA7knT8OX1zCRJI5hFmiRJWv4Mg05+Hu6UJElqIIs0SZKkBrJIkyRJaiCLNEmSpAaySJMkSWoge3dKGlm8NIukEcI9aZIkSQ1kkSZJktRAFmmSJEkNZJEmSZLUQBZpkiRJDWSRJkmS1EAWaZIkSQ1kkSZJktRAFmmSJEkNZJEmSZLUQBZpkiRJDWSRJkmS1EAWaZIkSQ1kkSZJktRAFmmSJEkNZJEmSZLUQBZpkiRJDWSRJkmS1EAWaZIkSQ1kkSZJktRAFmmSJEkNZJEmSZLUQBZpkiRJDWSRJkmS1EBLLNIiYsOIuDQibouIWyPi0NK+dkRcHBF3lZ9rlfaIiOMiYn5E3BQR27RkzSjT3xURM1raJ0fEzeU1x0VEDDQPSZKkkW4we9KeA/4xMzcFdgA+FhGbAbOASzJzEnBJeQ6wFzCpPGYC34aq4AIOB7YHtgMObym6vl2m7XvdtNLeaR6SJEkj2uglTZCZDwEPleEnI+I2YANgH2BqmexUYA5wWGn/XmYmcFVErBkR48q0F2fmQoCIuBiYFhFzgNUz88rS/j3gncDPBpiHhmjCrPPbth845mVeEEmSNKClOictIiYAbwKuBtYrBVxfIfeqMtkGwAMtL1tQ2gZqX9CmnQHmIUmSNKItcU9an4hYFTgb+IfM/FM5baztpG3acgjtgxYRM6kOlzJ23Fhmz5k9qNfN4Tlm80ybEYN7PcDjo+982XI7ZvcqtwvZI2ZdLEVup+xurItOmrwuBp3by+yGrIuX8z3S5PdeJ8vjuujlZ3Kvcl0XL+n1eySqo5JLmChiReCnwEWZeXRpuwOYmpkPlcOZczJz44g4oQz/qHW6vkdmfri0n0B1+HIOcGlmblLap/dN12keAy3rlClT8tprrx3ULz979iuYTZvjfLOfGNTrof3hwwPH/E1Pcjtm9yq3C9kjZl0sRW6n7G6si07abssNWRftdOO9t1TZDVkXL+d7pMnvvU78TF5C7lJmt9OrdQyui1ZLsy4i4rrMnNJu3GB6dwZwEnBbX4FWnAf09dCcAZzb0n5A6eW5A/BEOVR5EbBHRKxVOgzsQVX0PQQ8GRE7lHkd0C+r3TwkSZJGtMEc7twJ+ABwc0TMK23/DBwFnBkRBwH3A/uVcRcAewPzgaeBDwJk5sKI+AIwt0z3+b5OBMDBwCnAylQdBn5W2jvNQ5IkaUQbTO/Oy2l/3hjA7m2mT+BjHbJOBk5u034tsHmb9kfbzUOSJGmk844DkiRJDWSRJkmS1EAWaZIkSQ006OukSVKTePcMSSOdRZqknmp/3aplsCCSNMx4uFOSJKmBLNIkSZIayCJNkiSpgSzSJEmSGsgiTZIkqYEs0iRJkhrIIk2SJKmBvE6aJOll5/XzpCWzSJOGEa+yL0nLDw93SpIkNZBFmiRJUgNZpEmSJDWQRZokSVIDWaRJkiQ10HLRu9MecZIkabhxT5okSVIDWaRJkiQ1kEWaJElSAy0X56RJkqTl13C9DZl70iRJkhrIIk2SJKmBLNIkSZIayCJNkiSpgSzSJEmSGsjenZIkjUDDtUejXuKeNEmSpAaySJMkSWogizRJkqQGskiTJElqIIs0SZKkBrJIkyRJaiCLNEmSpAaySJMkSWogizRJkqQGskiTJElqIIs0SZKkBrJIkyRJaiCLNEmSpAaySJMkSWogizRJkqQGWmKRFhEnR8QfI+KWlra1I+LiiLir/FyrtEdEHBcR8yPipojYpuU1M8r0d0XEjJb2yRFxc3nNcRERA81DkiRpeTCYPWmnANP6tc0CLsnMScAl5TnAXsCk8pgJfBuqggs4HNge2A44vKXo+naZtu9105YwD0mSpBFviUVaZv4KWNiveR/g1DJ8KvDOlvbvZeUqYM2IGAfsCVycmQsz8zHgYmBaGbd6Zl6ZmQl8r19Wu3lIkiSNeEM9J229zHwIoPx8VWnfAHigZboFpW2g9gVt2geahyRJ0og3ust50aYth9C+dDONmEl1yJSx48Yye87sRcY/PvrOtq+bw3PM5pk2I2Yv3tZBu+xe5XbM7lVuF7JHzLpYitxO2a6LJeQuZbbrYtnkdsx2XfQ+twvZrove53bMXsr3CEBURxmXMFHEBOCnmbl5eX4HMDUzHyqHLOdk5sYRcUIZ/lHrdH2PzPxwaT8BmFMel2bmJqV9et90neaxpGWdMmVKXnvttYu0TZh1fttpDxzzN8xmzOIjZj+xpNkMmN2r3I7ZvcrtQvaIWRdLkdsp23WxhNylzHZdLJvcjtmui97ndiHbddH73I7ZHXIj4rrMnNJu3FAPd54H9PXQnAGc29J+QOnluQPwRDlUeRGwR0SsVToM7AFcVMY9GRE7lF6dB/TLajcPSZKkEW+Jhzsj4kdUe8LWiYgFVL00jwLOjIiDgPuB/crkFwB7A/OBp4EPAmTmwoj4AjC3TPf5zOzrjHAwVQ/SlYGflQcDzEOSJGnEW2KRlpnTO4zavc20CXysQ87JwMlt2q8FNm/T/mi7eUiSJC0PvOOAJElSA1mkSZIkNZBFmiRJUgNZpEmSJDWQRZokSVIDWaRJkiQ1kEWaJElSA1mkSZIkNZBFmiRJUgNZpEmSJDWQRZokSVIDWaRJkiQ1kEWaJElSA1mkSZIkNZBFmiRJUgNZpEmSJDWQRZokSVIDWaRJkiQ1kEWaJElSA1mkSZIkNZBFmiRJUgNZpEmSJDWQRZokSVIDWaRJkiQ1kEWaJElSA1mkSZIkNZBFmiRJUgNZpEmSJDWQRZokSVIDWaRJkiQ1kEWaJElSA1mkSZIkNZBFmiRJUgNZpEmSJDWQRZokSVIDWaRJkiQ1kEWaJElSA1mkSZIkNZBFmiRJUgNZpEmSJDWQRZokSVIDWaRJkiQ1kEWaJElSA1mkSZIkNZBFmiRJUgM1vkiLiGkRcUdEzI+IWct6eSRJkl4OjS7SImIUcDywF7AZMD0iNlu2SyVJktR7jS7SgO2A+Zl5T2b+BTgd2GcZL5MkSVLPNb1I2wB4oOX5gtImSZI0okVmLutl6Cgi9gP2zMwPlecfALbLzI/3m24mMLM83Ri4Y5CzWAd4pEuL+3Lk9jJ7uOX2Mnu45fYye7jl9jLb3N5nD7fcXmYPt9xeZg+33KXN3igz1203YnT3lqcnFgAbtjwfDzzYf6LMPBE4cWnDI+LazJwy9MV7eXN7mT3ccnuZPdxye5k93HJ7mW1u77OHW24vs4dbbi+zh1tuN7ObfrhzLjApIiZGxErA/sB5y3iZJEmSeq7Re9Iy87mIOAS4CBgFnJyZty7jxZIkSeq5RhdpAJl5AXBBj+KX+hDpMs7tZfZwy+1l9nDL7WX2cMvtZba5vc8ebrm9zB5uub3MHm65XctudMcBSZKk5VXTz0mTJElaLlmkSZIkNZBFmiRJUgNZpEnSMhQRH+1Szq4RsXEZ3jkiPh0Rb+9GtrQsRcTay3oZlpXlpkiLiL+OiDE9yF0jIo6KiNsj4tHyuK20rdnlea0eEZMjYq2aOStExN9FxPkRcWNEXBcRp0fE1C4s424R8c2IODcizi7r4fU1M1eNiM9HxK0R8UREPBwRV0XEgXWXt+SvHhGva9O+ZTfyuyki3tX3gRUR60bE9yLi5og4IyLG18zu2XbRZl7r9CBzrYhYrUtZERHviYj9yvDuEXFcRHw0Iob8uRkRn+r3+Efg833Pa+QeCxwFfD8ivgB8BVgZ+GREfHWouSX7nIh4f0SsWienTe4nImLDJU+51LnTWobXiIiTIuKmiPhhRKxXM7sn20Wb+exctok9upXZkv3f3c7spoj415bhzSLiTuC6iLgvIrZfhovWVkRMiYhLI+IHEbFhRFxc/k/NjYg31c1fboo04AxgQUR8PyL2johRXco9E3gMmJqZYzNzLLBbaftxneDyR1+nDO8J3Ap8GZgX1S2zhuok4DXAkcClwPml7V8j4uMDvXAJy3sUcABwFfAscA9wN/Djmst7WsnaEzgCOA74ALBbRPxbjVwi4j3A7cDZpQjctmX0KTVyr4+If21X/NX0pcxcWIa/CdwA7AX8DPhuzexebRd7RcS9EXF5RLwpIm4Fro6IBRGxe50FjohXl0L1CapbsNwaEfdHxOyIWLFG9PHAe6i2s+8DHwGuBXYFjqmRewSwPbAqsFr5OaoM1ykw3wbsBEwFDgHemplfoNo29qqRC9XyvhO4PyLOLF8UVqqZCfAFqu3gslLktL0tzhC0fib8O/AQ8FdUF0c/oWZ2T7aLiLimZfjvqd7bqwGHR8SsGrk39XvcDOzU93youS35e0bEQRExoV/739WI/ZuW4a8Ch2bmRKr1Xmcdj46ID0fEheX3vzEifhYRH6n5WfEtqi9F5wO/Bk7IzDWAWWVcPZm5XDyo/pmtBfw9cAnwB+A7wJtr5t4xlHGDzL65ZfjXwIQyvA5wY43cm/o9v6r8fAVwW5eWdzRwRRleC7ilRu6N/Z7PLT9XAG6vuY7nAePK8HZUBdvf9G0zNXLvBb4G3A9cA3wSeHWdZe2/TQHX9f9damb3aruYB2wK7Ag8CuxQ2jcFrq+5zP9N9QUJqg/3Y4BXAl8ETqyRe3P5uWJZ5pXK89Gt2/kQcl8DnEX1ZWuV0nZPF7aLW8rPMVRfEFcuz0cBv6mZfUP5uRpVcXIB8DDVl4I96uSW9/AeVF8GHgYuBGYAq9XIvb5leF6/cXXfI73aLm5oGZ4LrFuGX1kz9zzgB8AmwEbABOCBMrxRzXXxb8CvgGOpvox/vN3foObf74Z+4+p8Jv8I+DawA9UtJseX4W8DZ3Tpb3d/t5a377E87UnLzHwsM/9fZu4ObAX8BjgqIh6okfvbiPin1t3oEbFeRBxG9WaoY4WIWL0Mv0D1D5/MfIR6FyJ+tm8PT0RsA/yl5P4ZqHPhvBfipXMHXk31D4LMfAyIGrn/ExE7A0TEXwELS+4LNXMBRmXmQyXvGqq9oP8SEZ+g3rp4LDM/nZmvAf4RmARcX3aLz6yROyeqQ78rl+F3QnWYGXiiRi70cLvIzNsy80rg6cy8quTeRv29+WMzc07JOwfYNTP/JzP/lWrvxlA9VzKfpfpS0LcungOeH2poZt6fmftSfem6OCL2rbGMrc6PiMuAy4D/AM6MiH+h2sP6q5rZCZCZT2bm9zNzb2Bj4GqqvQVDzs3MFzLz55l5ENVnxreAaVR7zofqVfHSoeTVI6L1M6Lu9taT7YLqs36tiBhLdf3Sh0vu//TNcygy86+Bs6kurLpVZt4HPJuZv83M39ZYXqj2Tr4lM/8BmAzsFRF9e7rqfC6/NiLOi4j/AsZHxCot4+rs8domMw/OzKsyc0F5XJWZBwN1Dks+ExF7lKNF2fKZ/GbqbRPAMLjjQBctstFk5u+pDpsdFxEb1ch9L9UH1S8j4lWl7Q9U32DeUyMXqkMjl0bE8cAVVIcNzwXeQvWNc6g+U3Kfodro94fqHCfgpzVy/w24ISLuoPrmdnBL7o01cj8C/EdUJ0XfDBzUknt8jVyAJyPidZl5N0BmPhTVOVj/CbyxZjYl8zLgsnLI8G1U28xQr0Z9CPAvwB3l+Scj4n+A/6Lay1FHr7aLxyPiw8DqwGMR8Umq0wTeCjxVb5F5OCLeT7VH7d3AfVCdO0S9f8i/j4hVM/OpzGw9x2l9SvFaR2aeGxEXU73HF3Qh77CI2LEazKtKsf0uqoLtrJrxi/2Nsjrk/p3yGKr+n8nPUn1unle+hAzV/+OlQ8enUh15eLj87ebVyIXebRdrANdRrZOMiPUz8/dRnQdY64toZv4kIn4OfCEiPgR041A1wOhSnJKZj5cv0CdGxI9rzmOffs9XgGrnB9Ver6F6rBRSZ5cv+ER1HuF+VHufh+ojVIc7X6A6JefgiDgF+B1Q5ws5sBzdcSAipvZ94x5Oojrp/u+BN1AV1QuA/8zMi2rmBtVeiEfqL+UiuWsDrwXmZ+bj3czuhYjYCvifzJzfr31F4D2ZedoQc0/PzP27sYwDzGMNqg/KR7uY2fXtIqqTw/+Vao/MbGA6VaH9W+DTZY/aULNfQ3VYeTOqf8CfKYX2WKrDoGfXXPz+83sl8MrM/GM3c7ul/CPbgGpdP5iZf1jGi9RRRLwhM+9c1svRDb3aLspepPUy894u5W0F7JiZdYrrvqyfAl/NzF/2a/8i8M+Z2agjdeW8uS9T7eToO7qzJtUXvFndWsfdttwUae1ExNr50knYQ80Iqko8qb6xvoXqm8DtwHf6KvamKYdR1+3bg9TSvmVm1jqhNCJWLN+KW9vWGeo//lL4HUL1zeRk4J+pzm+6Dfi3cjh1uRcRm2Tm7TUzVqU63LQh1WGWu4CfN3U77pWoTox/NssHZDmcvA3V+V0/q5G7CdV5cy8AnwA+R/V5cRcwY6gFa0RsTbVXaw2q9wlU59w8Dnw0M68f6jKX/Jd1u+jbW1Xj9X17EluX90eZWeuUgF5tFx3mVfv/U5vMVam+8N9T90t0397OzPzfNuM2yMzfLf6qQeWuQHVe4rtZ9O/3nW7taGk5rNzVnRRt5vPBzKzVoatRlW4vRcT/ierSGLdGxPblUMO1EfFAOUwwVL3qBTagiPi/NV7bqx6Nu0XEAuDBiPh5LNrj5+dDzaU68fWVwBSqXofrU30j+l9qLC8s2gspIsZHxCUR8XhE/Doi3lAz+3VRXavq6xHx71H1IlqjTuYS1FnHfdvFpVT/jA+h6kjxAarexLUuRxLtL83S7Z6v/ec55PcI1cnba5aczwBforqkxaci4sgauSdSnXf1A6pv8BcCa1P1dPxmjdxTqHrBbZqZby2PTYB/oGav3yVsF1vUyR7Ab4b6wog4lKpgHQNsS/V32xC4MupfTqYn20X06LITEfGtluGdqdbrvwM3R8TeQ82FF4uzbaPNtfmGWqAVJ1F1bDiKLvYyL8u4SVTnix8OfC4iDitfnHrliNoJWbPnwXB5UPWw24JqD8wjwM6lfRtKL8Qh5vakt88g5nt/jdf2qkfjXOCNZXhfqm8/O3Qhd175GcDv2o2rkd3ak+hM4MNUX17eBVxSI/dQ4GKqw3y/pvrH/CWqD8mpNXKP6/D4BvCnmuviJl7qcbgOcFEZ3hL4dY3co6gKhfdT7W3+KtUh/BuA/eos8xLmW+c9ckvL8LW81FtyNP16wS5lbmtPsPmdtsUh5N41wLj5Q83t8XbxqQ6PfwQW1si9mapDEMAqwJwy/Jo6n0M93i5aP4fOB/Yqw9vVXMetuZdSnTwP1Skp19ZcF8eWz7ZrqL5k/Jpqz/AvqA6DDnl76/e8W73MD6P63zerfBa9vwzPozrcWef90e5xM/DnOus4M5erjgMrZubNABHxcGZeDpCZ19c8SfXF3j4RsUhvn4io1bMjIv7UaRTVt7ehWqRHY9ll/9OoLoZa5/j3Spl5a8k9KyJuA86J6jo/dXJXiOoCvqsBq0bEhMy8r+yy7tZJsABvyMy+zh4/qbkn5kPA1pn5fEQcDVyQmVMj4gTgXIbem+iDVP/E/txm3PQhZvYJqr2TAP8DvAogM2+Kl3oZD8XbM3MLqM7VA36ZmZ+JiLOoeiMO+XqCPXyP/CkiNs/MW6i+1I2hWjejqXcEovX6jEf3G1dnW/5ZRJwPfI+XepVvSHXdwjqdjKB328W/URXs7Xov1j3KM5qqZ90rKJ0IMvP+qHc9LOjddtHq1VkOnZbP5zrbcavVsxz2zsx7ov61Qt8GbE71PvsdsEFmPh3V9TJvoOqINBTPRunMFf16mUdEnf8jB1HtROh/Ks7RVNcgPWqIuetRdRjof9pNUBWutSxPRVrrG+iz/cbV+XDsZS+wx4Fts83Jv1HvsiG96tH4bJReSSX31qguVvpToM6hrSOp9vYB/B1VT0+orrNVd3fy+Ig4juoNtW6/8+nqfqD34h/FXKpv84u9+SNido1cqK5/dWFE/JLqAqg/LrlrU6+H2Qst59cscmmWiKjVc43evUc+ApwWETcCf6Q6NeKXVHuP6lxA+fiWz4vWQ1Gvp9oDMSSZ+Yly+OqvqToOBFUno+Mz84Iaywu92y6up+oEdV3/EVH1Qhyq/wDmRsRVVKedfLlkrku5fE8NvdouXhsR51Gtz/ERsUpmPl3G1fm82CSqi9YGMCEi1irvuxVq5kLVkzgjou+8xL4C6gXqFay96mX+AtXnT/9Lj4wr44bqp8CqmblYz+GImFMjt8oou+tGvIj4a+AXLRt+X/vrgHdn5le6PL/avX2i6iVzXlbX7+o/7suZedgQc7eiul7VXf3a6/ZofCvwcGbe2K99TeBjmfmloeSWjFFU2+tzETEa2Jrq0OdDQ80suTP6NZ1XPsTWBz6Rmf88xNxDqb65vfiPIjO/Wz5ozs7MIV3Dq/xjfKb/dtwt5R/9ZlQXEL64tK1AtSe63d67wWS+l6qL+ouXZsnM88u6+Hpmvq/G8vbkPVJeP4rqQqutPasvymHQa7nberRdbAw8mm1O3o6I9doV3kuR/UaqL3G3ZM3ONG2yu75dRHVNrVbXZeZTUfXW3Tczh3SpoVj88lIPZeZforqTza5ZXVtwSCLiy8D/odqbOIfqvX0V8GaqjgkfqZG9I/BcZs6NiM2ozoe8vc4XjqhuF/ZNqtNw+r7AvQZ4PXBIZtbd49wTy02R1k5EvKpOEVUyaveGbILoQU+ibomXsUdVN/XyH8XLJSL+OjPP60LOsLo0y8spIu7MzLqdVLalKoR/R3Wk4GSqk+bvAmZm5g21F3TR+XVlu3g5lL2UW1GdzzTkDglaXLS/Nt/9wFk5xJ6/EXE41R7b0VTn9W4H/JLquooX1fyyv0LJa93bPDczh3xqUkSs2dPPtLontQ2XB1UPqtbHWKoLX64FrF0j93lgPtWJk5v1+HdYlao4WbNmzk5Ul6+4leq+fBdTXeH7Aapr6NRZvs+X3CeobvNyFXBgzeW9EVirDH+G6jj/v5blPrJm9irAP5XcMcCBVBfU/ArVLuw62SsAK5ThlcrfbsjbWsm5vvzur+vB9vU3/R7vBn7f97xG7kqUL4Tl+W5U59Xt1YPfoVvvkdUpNywHpvcb960auU8CfyqPJ8vj+b72GrnXUP1jm17ex/uW9t2BKxu6XWzZMrxi2a7PozpsuEqN3EuBdcrwB4A7qQ6B3kzLrYt6sO39rMZrzwH+tu5nTpvcnnwmDzC/Wp9vJeNmqlMiVinvk9VL+8rU6JxRMl7T99lAdYusfSmd3WpkPkd1qsJBdT932ub34g/VxAfVMed7+z2eLT+HfO88qhMkN6fquTefqqCYRbnPZs1l/lbL8M5U31AuLR/Ce9fI7VVP13OpipzxVL20Pkd1O6RTqa5nNtTcnvSoKhlnUnVJ/xbVPV2/SXV48qvA92vkvpPqzhMPUV0H62qqSy4sAP6qRu699OCeoCX7OarzK77b8niy/Dy5Ru5ARfZRNZe5V++Rs6mKtHdSFQ5nA68o4+r0wvwG1cn967X+Tbvwt+vZ/QN7uF209jz8d6rLiLyZ6tJF36uR2/p5MZfq4sxQ/dOv+3mxTYfHZKpDiUPN/R1Vz+eF5TPpXZQrBdRc3p58JpfsXn3Zv6HdcHk+5N78VP+X76U6v/lD5edJZfk/VSP3ZuAdwGlUV3g4l+o8upXr/v0yl68i7dNUvZy2aGm7twu51/d7vh1Vr60HqNF1un82Xew+3e9NcFuneQ4htyc3Qqf6p755Gb6Ql/7hj6HGjdtLRuvlPX7PS6cARJ0PdKrifX1gItW3wY1L+0Y1/3at28QuVMXl78v2MbPmutiWqlA9uGU93Fsns2T0ssju1Xuk/425/4Xq1mxj67xHStZkqoL9E+W90Y0brF9JdZ7UflQnRr+ztL+5znro8XbR+jk0j+r8tm699zZo2SbGlOFRwK01l/n58re7tM3jf+uuC7p/E/uefCaXjF592b+aly75skJL+xp13ntUxdjK5T38JIvexH7I/0f6fQatTHXd1HOoCrYf1lnHmcvRDdYz82tU1fP/jYijI2I16l0Wok//+89dk5mfotqt2r8XaR2LdJ9m0a78S6tXPV3/f3tnGmpVFcXx37LBJpOiMCoiqKSgtNE+BFEg8YIGMaEyMgqiEiykqG8ZUUR+iYqCRkMqI40KoqJBmmigwVJLXiBlE4JENgcNqw9rX995592nddZZ3ru9+w+bd+8+3HXWW2ft4ay9hqhC6J2IqqWMRFQ9DLyFL6JqC9RG2PPpb+e7Sz9UdaNaqZGvVHU49W3AF/m0RY6q+qaqzsf8K27HJksPv+9jYfW7AitFZAbtjJGfROTo9LmTtgDaTVsA7Y6Ricl/hUTvViwR7RvYJN8YatGMM9PX1xmRhwdXYkfIl2HpAE4Xkc3YJv5qD+FAvZgsIrNF5DzMSvlnup937C0EXhKRzjHfypRO50WciX0xy9EVqnp6vWG63RSdeaftIvZRczKktFaq+g4WMLYlrRW+9DenagqM0tF+bbtglQia4m+1BLybsbQp36d7/OqgCaPn5N9V9UlVmTQt2QAABw1JREFUnY29KLrKN3aIDlwDzsbO5Te2QGtuIJ+/MZIU72dGLEgT8O38z6GLzweWJuN6B91p2NvVj9gGamrq3x+LlPTIYifM5+YabDE6nxbO/zFflTF+IEkWbznormLEH21G7f/wPLsnovStdp8DsWOXNqw807Ajz6Wprccc2z/wjp/AMbIYmNmlf4itJI79D3R3xXKXzUzfL8aOiOaTLEkO2kdhPmh71fqH+lQvltTalNR/AI5E0onGZMzydwd2xHwDcGQLPM8hWcW7XJvloPtGW8+oRnd6mpM3pzm5Y9FvY07+pPJ5Vu2a64QjSBaPAI9jx5HLMH/Ti7AjzycddK+L5HtgojvFSmusU9WfxIrW3oSZZT/EzuZdNd0i0CV8+ju1pLnu8OkIiMjVwNOq6slPtd3RsQzo6HDvYSqWtQY0T8IqTvxR6z8UOxZ4tCHdqh7vjllCj8MqGfSlHkNcOouoMRKlyyLyGPb/74EtnHsCT2ObK1HVRpaCxO98zM/mWKxE1LPp2keqenwL7Ffv50qRUaFzMvCPtphqIRKBejERe/H8TlVfEZG5WHqLdcD9WkvA+j9pH4VZ29/VSj1UERlSR9qJ7Z3WyouUuqlaZ3sGMBfzY71H/Ra1EAzSJu1TYLpanq37sczZT2GT43Q182Tb93xBVc9sm64XKQfYIiyY4kZgARaxtQ6b3BvlHhORHzG5rsfeWFao6qYW+N0bK6p+ELZxWla5dq/akV9T2osYHe59Mpbzxx3uHYEuevwbNuG49XgcvZiNLfyN9SJH1HR5GbC8JV1erarT0oLxLRb08beICGaZaFQjVUTWYM7av6QXgRVY4MudIrJKVZtWuOikT6njI+zlQLRh6p6oVAuRehyoF/XN+16YX1NWm/dBRNR6ugW9NkFur0bFQZ6xzv6eiJGQaJ8OnwSkW8B8MxZgvg6rsaOAQ1Lfsw66q7BjpjMwE/KmdK9LgEkOuiGRdun3IeHeVI6YsILMDyVZP04lsq9f9DhYL8LSAGCpMm7Dji7m1q55UmVE6fJa7MhzH+x4dt/Uvxu+uoSfdZH5i1gQk1cvoiLjo8ZeiB4H68Xq9HdnLCq8U3vUG0SxhnT8jaWc+ADbOIA/6vdELGDiUawE2ctpfL+PlcRrTHt7N3zpU8L0TVUHapO2HLg0fV4CnJg+TyVFvDSkGxLtk2h/QUC6BbYeru/ZsNY3Dbtg/m/LMMfSpnQjI+2iwr2rET8PArdgkZ0LsVI4faXHwXoRmQYgKlVGlC4vxHzQNmAO/a8CD2CL6SIH3ZX1hRFb8JdiDtMeGUdFxkeNvRA9DtaLHDfvYbn5Ihpx6VPC9E11sDZpkzHHwfVYxMyfabJ8HTsmakp3LXDEONe+dvIckm6B0Q6ft9SurXHQHffNDEfOGMxsPKHWdwlmmdnglHFUuHf12dU3mZ4FKESPg/UiMg1AyAY+SpfT7w8kvWxhVtY5VIJLGtI8GDhgnGuneGhX6C/HFvdJtBM4EDX2QvQ4Ui/Ic/MelpsvohGXPiVM31QHaJNWEdokLOLlBBzHThV6IdE+6fdjJirseGAIWOKgezPdIxoPx/zImtKdGvTMQiLtEo2J4/TvR8Vy0IDuN5jV6No0+VYz7rtygyUarepxsF68zUgOpbMxf6POtWEnzyEb+Chdzr3RbmR81NgL0eNovSCzzTuBufmC5BtiUInUN9UBiu6MhIgciTm1v6ftRs88oaoXtMFjF9ohPEdhK/yeqX1YvzM5RVdxr6puSk6mi1V1Xi/42hYi9EJEpmFHvlOxifIyVf08FVi/UFXvcvC7GHhJVV+p9Q8Bd6vqEU1pF4ygqheYReIwVV2b4XzRl/zmCBGZjr1A/4NZAq/CXpC+BS5X1bd7yN4YiMgczLI13OXaLFV9xkE7Tt96vbvNvWGm6WHgGawW6LmVay5/qW3c91LHbxf0gudB4Tfy2e1oco6URb/KObfWqznOwe8ONV/k2HIbe/28nvZcOLk3AqNntnHfrxy/7QnPg8Jv5LPb0eQcKYt+lXNuLbfxlxu/O2LLbez183q6MwVe7KTJvKmqX4rIacCKlGTTVXZDRFaPdwmY4iAdxnMQcuM38tlFIkTOkbLIVM65Ibfxlxu/WSK3sZfrelo2aX5sFJFjVfVjALVkkmdhZW+OcdKegtXh+6HWL5gzdlNE8hyB3PiFuGcXiSg5R8oiRznnhtzGX2785orcxl6W62nZpPkxD/ir2qGqfwHzROQ+J+3nMDPqx/ULIvKag24kzxHIjV+Ie3aRiJJzpCxylHNuyG385cZvrsht7GW5npbozoKCgoKCgoKCPsSEXjNQUFBQUFBQUFAwFmWTVlBQUFBQUFDQhyibtIKCgoKCgoKCPkTZpBUUFBQUFBQU9CHKJq2goKCgoKCgoA/xL+/vceXFCrcmAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#use this space for predictions\n",
"titleLength = 10\n",
"numCaps = 10\n",
"numPuncs = 0\n",
"\n",
"prediction = regmod.predict([[titleLength, numCaps, numPuncs]])\n",
"p = np.exp(prediction[0][0])\n",
"\n",
"print('Given these parameters for a video title:')\n",
"print('Length: '+ str(titleLength))\n",
"print('Number of Capital Letters: ' + str(numCaps))\n",
"print('Number of Punctiation Marks (! and ?): ' + str(numPuncs))\n",
"print('The number of views on the video will be ' + str(int(p)) + \" views.\")\n",
"\n",
"\n",
"#plot graph of the model (just n values for reference)\n",
"n = 25\n",
"ytestfinal = np.exp(ytest)\n",
"actpred = ytestfinal\n",
"actpred['predicted'] = ypred\n",
"include = (actpred['logViews'] < 1000000) & (actpred['logViews'] > 100000)\n",
"actpredh = actpred[include]\n",
"print(actpredh)\n",
"actpredh = actpredh.head(n)\n",
"print(actpredh)\n",
"\n",
"actpredh.plot(kind='bar',figsize=(10,8))\n",
"plt.grid(which='major', linestyle='-', linewidth='0.5', color='green')\n",
"plt.grid(which='minor', linestyle=':', linewidth='0.5', color='black')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 598,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"RMSE for views between 1106 and 776793:\n",
"205812.92705517248\n",
"RMSE for views between 776793 and 1552480:\n",
"822099.9315034843\n",
"RMSE for views between 1552480 and 2328167:\n",
"1602047.505946812\n",
"RMSE for views between 2328167 and 3103854:\n",
"2397357.8374269125\n",
"RMSE for views between 3103854 and 3879541:\n",
"3206736.3150240257\n",
"RMSE for views between 3879541 and 4655228:\n",
"3947686.5827061934\n",
"RMSE for views between 4655228 and 5430915:\n",
"4796006.448072254\n",
"RMSE for views between 5430915 and 6206602:\n",
"5565944.605331952\n",
"RMSE for views between 6206602 and 6982289:\n",
"6255582.242798038\n",
"RMSE for views between 6982289 and 7757976:\n",
"7086710.481205265\n",
"[[1.54161724e-02 1.10600000e+03]\n",
" [6.15784173e-02 7.76793000e+05]\n",
" [1.19999462e-01 1.55248000e+06]\n",
" [1.79571237e-01 2.32816700e+06]\n",
" [2.40196769e-01 3.10385400e+06]\n",
" [2.95696767e-01 3.87954100e+06]\n",
" [3.59239157e-01 4.65522800e+06]\n",
" [4.16910459e-01 5.43091500e+06]\n",
" [4.68566946e-01 6.20660200e+06]\n",
" [5.30821617e-01 6.98228900e+06]]\n"
]
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 598,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#calculate accuracy for different ranges\n",
"bins = 10\n",
"mn = actpred['logViews'].min()\n",
"mx = actpred['logViews'].max()\n",
"binsize = np.ceil((mx - mn)/bins)\n",
"avgdiff = np.array([])\n",
"binsrange = np.array([])\n",
"for b in range(bins):\n",
" inbin = ((mn + (b*binsize)) <= actpred['logViews']) & ((mn + ((b+1)*binsize)) > actpred['logViews'])\n",
" binned = actpred[inbin]\n",
" if binned.size > 0:\n",
" rmse = math.sqrt(mean_squared_error(binned['logViews'], binned['predicted']))\n",
" diffavg = np.sum(abs(binned['logViews'] - binned['predicted']))/(binned['logViews'].size)\n",
" print(\"RMSE for views between \" + str(int(mn + (b*binsize))) + \" and \" +\n",
" str(int(mn + ((b+1)*binsize))) + \":\")\n",
" print(rmse)\n",
" avgdiff = np.append(avgdiff, rmse)\n",
" binsrange = np.append(binsrange, int(mn + (b*binsize)))\n",
"avgdiff = avgdiff/np.linalg.norm(avgdiff)\n",
"acc = np.concatenate((avgdiff.reshape(-1, 1), binsrange.reshape(-1, 1)), axis = 1)\n",
"print(acc)\n",
"acc_df = pd.DataFrame(acc, columns = ['prediction error', 'minimum bin val'])\n",
"acc_df.plot.bar(x='minimum bin val', y='prediction error', rot=45)"
]
},
{
"cell_type": "code",
"execution_count": 599,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import statsmodels.formula.api as smf\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"#okay now lets try visualizing some stuff\n",
"#for this, the most we can really show is\n",
"#three dimensions, so I wll be creating \n",
"#separate models for two variables at a time\n",
"#vs the number of views and we will have a\n",
"#total of three graphs in the end\n",
"\n",
"y = data_df[['videoViews']]\n",
"\n",
"x1 = data_df.drop({'numPuncs'}, axis = 1)\n",
"x2 = data_df.drop({'numCaps'}, axis = 1)\n",
"x3 = data_df.drop({'titleLength'}, axis = 1)\n",
"\n",
"#Graph 1\n",
"model1 = smf.ols(formula = 'videoViews ~ titleLength + numCaps',\n",
" data = x1)\n",
"formula1 = model1.fit()\n",
"formula1.params\n",
"\n",
"x1surf, y1surf = np.meshgrid(np.linspace(x1.titleLength.min(),\n",
" x1.titleLength.max(), 100), \n",
" np.linspace(x1.numCaps.min(),\n",
" x1.numCaps.max(), 100))\n",
"onlyx1 = pd.DataFrame({'titleLength': x1surf.ravel(), \n",
" 'numCaps': y1surf.ravel()})\n",
"fittedy1 = formula1.predict(exog = onlyx1)\n",
"fittedy1 = np.array(fittedy1)\n",
"\n",
"fig1 = plt.figure()\n",
"ax1 = fig1.add_subplot(111, projection = '3d')\n",
"ax1.scatter(x1['titleLength'], x1['numCaps'], x1['videoViews'], c = 'red',\n",
" marker = 'o', alpha = 0.5)\n",
"ax1.plot_surface(x1surf, y1surf, fittedy1.reshape(x1surf.shape),\n",
" color = 'None', alpha = 0.3)\n",
"ax1.set_xlabel('titleLength')\n",
"ax1.set_ylabel('numCaps')\n",
"ax1.set_zlabel('videoViews')\n",
"plt.show()\n",
"\n",
"\n",
"#Graph 2\n",
"model2 = smf.ols(formula = 'videoViews ~ titleLength + numPuncs',\n",
" data = x2)\n",
"formula2 = model2.fit()\n",
"formula2.params\n",
"\n",
"x2surf, y2surf = np.meshgrid(np.linspace(x2.titleLength.min(),\n",
" x2.titleLength.max(), 100), \n",
" np.linspace(x2.numPuncs.min(),\n",
" x2.numPuncs.max(), 100))\n",
"onlyx2 = pd.DataFrame({'titleLength': x2surf.ravel(), \n",
" 'numPuncs': y2surf.ravel()})\n",
"fittedy2 = formula2.predict(exog = onlyx2)\n",
"fittedy2 = np.array(fittedy2)\n",
"\n",
"fig2 = plt.figure()\n",
"ax2 = fig2.add_subplot(111, projection = '3d')\n",
"ax2.scatter(x2['titleLength'], x2['numPuncs'], x2['videoViews'], c = 'blue',\n",
" marker = 'o', alpha = 0.5)\n",
"ax2.plot_surface(x2surf, y2surf, fittedy2.reshape(x2surf.shape),\n",
" color = 'None', alpha = 0.3)\n",
"ax2.set_xlabel('titleLength')\n",
"ax2.set_ylabel('numPuncs')\n",
"ax2.set_zlabel('videoViews')\n",
"plt.show()\n",
"\n",
"\n",
"\n",
"#Graph 3\n",
"model3 = smf.ols(formula = 'videoViews ~ numCaps + numPuncs',\n",
" data = x3)\n",
"formula3 = model3.fit()\n",
"formula3.params\n",
"\n",
"x3surf, y3surf = np.meshgrid(np.linspace(x3.numCaps.min(),\n",
" x3.numCaps.max(), 100), \n",
" np.linspace(x3.numPuncs.min(),\n",
" x3.numPuncs.max(), 100))\n",
"onlyx3 = pd.DataFrame({'numCaps': x3surf.ravel(), \n",
" 'numPuncs': y3surf.ravel()})\n",
"fittedy3 = formula3.predict(exog = onlyx3)\n",
"fittedy3 = np.array(fittedy3)\n",
"\n",
"fig3 = plt.figure()\n",
"ax3 = fig3.add_subplot(111, projection = '3d')\n",
"ax3.scatter(x3['numCaps'], x3['numPuncs'], x3['videoViews'], c = 'green',\n",
" marker = 'o', alpha = 0.5)\n",
"ax3.plot_surface(x3surf, y3surf, fittedy3.reshape(x3surf.shape),\n",
" color = 'None', alpha = 0.3)\n",
"ax3.set_xlabel('numCaps')\n",
"ax3.set_ylabel('numPuncs')\n",
"ax3.set_zlabel('videoViews')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 600,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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fd7mf4UIdntcKy7LIZDK8+OKLHDt2jPvvv5/e3t6r/o0FpMuVGxo0TbuMHAuFAr29vZRKJbZv387evXuvqntsLUnXI9uBgQHa2to4cuTImnZ85fN5zp07x9TUFEIIstksw8PDgEvE4+PjbNiwgWQySSqVIplMrjtxrBbq9agNDQ2oqsqtt956mayt3t2rPl98rb6317s5Yj2xXJ3uWt1tbNq0iY9+9KMIIbjzzjtRFIXp6ek5tYKV4G1NusttaNA0zVcr5HI5ent7sSyL7du309zcfNU//rVULwwNDTE4OEh7eztHjx5dU7I1TZMzZ84wNDQ05xa0PtdpmiYzMzO+IF5KOSdf6hVHGhoabjoirr9QLyZr86wWC4UCMzMz/kSI+vE8iURi2bK2G7U5Yq2w3Mkky912JfgX/+Jf8NRTT/Hud7+b8+fPYxiGr5S5GrwtSXelGltVVSmVSrzyyisIIdixY8eq5I1Wm3Q9LXA6nSaVSi2omFhNSCkZGhriwoULzM7O+qmY+dt4FzVd1+cQspcvz2QyaJrmnyyepKueiK9HLnG5WI6t5WJWi/XjeaampuYMrqyPjKPR6JxjvJ0KactFpVIhFotd0z4eeOABnn76aaanp9m0aRNf/OIX+eQnP8knP/lJ9u3bRygU4m/+5m+uidhv3F/yGmAhsl3qw5NSMj09zcWLF6lWqxw+fPiyQsu1YLVI17ZthoeHGR4epq2tjVQqxc6dO1dhhYtjZmaGc+fOkclkcByHUCh0mZzOc4Py7Pg8NYjn5+BFu3BpijHA7OwsuVyO8fFx/3XhcNhPSXhkfKOY41ytemEpWZtHxgvJ2uLxuG8+s55ubWvRHLGayGaz11w/+Pu///sFH3/44Yevab/1eFuQ7kobGuqbBZLJJLfeeis9PT2rSrhw7aTrpRE8LfBdd92FEGLVOsgWQqVS4fz584yOjvqRjxDCPyG9v73nvJO0nmi978Ejau85j3iFEH6E7jiO76/q5YW943hFq6amJhKJBKlUas2lbwthtSVj9V1X9fIkT9bmOXr19PT46Zr5GuO1IONraQO+lmMu933cDN1o8BYn3ZU2NNS36jY1NfmdWfX7WE1c7ZQHr/FidHSUjRs3ctddd112277acByH/v5++vr6/DZjTdMus600TRMppd8rD5fSN97nOD/n6/lFSCl9C7/578OyLN+4GvA7kwzDYHp6es4sLiEEhUKB5uZmUqnUNd9yXglSSgSgPv006k9/CqqK9eEP49x556oep17WNjQ0xMGDBxFC+C2zhUKBdDrN4OAghmHMcfbyCPla0k1+esGyQFVhHSLslZrd3OgOY/AWJN2FJjRcS6surE3B62r2a1kWg4ODjI6OsmnTJu6+++7LIo+1uNXMZDI8//zzFAoFX5Ljrds7fqVS8XO63ncAlwx4TNMkHA77pOiRqhf5epGr4ziEpqdpOn0aVQgmd+6k0tY2J/KtPxG9CNkj9Wq16vfpe9aBuq4TjUb9tEQqlSIej6/aZyWlJH7iBPpPfoLT0QGmif7Xf40Zj+PcdtuqHGOhY9araxbr0vLyxZOTk76HgTcNYqWjeWSxSPShh1BPnIBwGPM3fmPVLyzzsRKNbjabDSLd9cRSExoWQz2JLdaq6+1nLXClUTgeLMuaM5DynnvuWZfbvGKxyNmzZ7l48SI7duxA13VfkuYRXblcZmhoiHK57JNuNBolEokQjUYJmyYNk5M4+TxGLHZZKgGgeXiYltOnkZpGtrubrc88A4aBsG22/fjHzOzeTfrWWxk7eBARCvl3CPWpCy9/rOs6pmn6EbSU0jfbzufzcy4GHvl6xTqv43ClkFISf/NNnMZG8KLqYhHlxIk1I93lrHMxm0XDMCgUChSLRcbGxvw5afUThD2Ncf3vrP1nP0MbG8PZvBmqVfSHHsJob0du3brab8/HSjS6QXphnVDf0HDixAkOHDiwrFbdgYEBJicn15XE5uNKJ443/XdiYmLRyHYtYNs2Fy9eZGhoyL+IeVI0byyKN36nVCrR3d1NKBTyCblcLlMoFDDHxjjy5JOEi0U2AKXWVqaOHGHLqVPojkN2926MRII93/42kWwWISW2opDbvJlSVxdtZ84QyuVounCB8OQkbSdPktm6lcLmzeR274a6/LGu6/4FzMv5eikLL7dcP43WLpUojo0xGw4z2tTkbxeNRucU61Kp1BWLR1JKnHgckcngK0UNA3kdbCaXg1AoRHNzsy9rE9PTMDCAISX5VIpipcLQ0BClYhFRKhGOx4k1N9N48SKVzZvRAVHLnSvDw9hrSLorSS/k8/mAdNcSC2lsq9Xqkq2K9a26W7ZsWVar7vWAaZr09/czOTnJ5s2b13Wdo6OjnD9/3r9ND0tJYyaDPjUFnZ0YtQvB7OwsmzZtoru7G1VV/RQBQCQSIRaLse3NN2kOh6ls3Eg+n6d1dJSN3/kOk+3tJMbH2f3cc4SqVcKGgVU7icOWhQCs5ma0chkrGsVRFJLj48ROnSI5NoZ18iSD+TzDhw6hKIorRZudJT41BeEw5VTKv1jU55Y9aNPT3PLYY0TKZXAcxu68k9EjR3BqDR3ZbNYnak/uNV85Uf8bk1JS+OVfpuNb30IMDCCkxGluxr733nX5zq4F4uJFQv/9v4NtE7ZtYrffjvnv/h0YBvrXv45y8iS245C7917yiQTFsTHK8ThISbxmcK9OTS0oa1sNrDSn29nZuarHXwvcdKS7VEODd2s5/0vyWnXz+Txbt25l9+7dK/5x1N8WrxUMw2Cgr4/Zkyfpam5mxx13oNSJ7NcS+XyeM2fOkM1m3fcpBBtfeIHb/vZvUWdnsRMJXr/rLl46eJBbDYOGeJy8lJi1yNeyLP8W3yO6UD6PXWebGDYMwppGu6LQYJoouk4klwNqQxB1nbBhoOZymOPjOOUyaBqa49AwNIRi27ScPk2lqYlNjsPE4cNYUhKdmmL397+Papo4lkVy40Zmjh5F13U/v+z5XITTafb9wz8QLpXId3UhgM4XXiC3cSP5DRt8eZunmvD+y+fzKIrik3EoFCKRSNDQ0OCabLe0YPz+76OcOeNG4Pv3w2oXdapV1BdfhHSaRKUCR46sqJglLlxA+9nPwHGw3/1unL170R9+GBmNQmOj23Bx4gTKqVMoZ8+injiB093tfu7PPMPEvn1s7e+HahVp21Tf8Q5mDx2iUCj4sjYhxGV+t9dinflWmxoBNyHp2rY9J2dXj/rOMbjUqlsul9m2bdtVtep68Ipea0G6hmHQ19fH9OQk+156iVvPnAFNg0cewf6d34Ft21b9mB5M05wjAfMuZInz59n3jW+gF4tUVRUtn+eOp55iz+nTGIkERlMTTiTCxfvvZ7axcc7JIaUkVCigVqs0nj1LYeNGCqEQCmBHo0RmZgjPzKAYBhJQHYdQtYrQNISmMdvdTWHHDuKFAsI0aR4fR7Es7FonW2R6mpSioMzOoqZSdP/85zhAqakJAbQODdHW2Ymo+9wMwyA5MsKeH/6QljNncHQdPZ/HDoeJj4+z+3vf49z991Pu7PS9N+qVEl6u35tgYRgGlUqFiYkJcrkclmUx1tVFWzpNEogODBCvTUleCmJ01E1LtLUhl3KvMk30v/or1LNnkeEwm0dGUFtasD/wgWV9z6Knh9Bf/iWEwyAEysmTmJ/9rHts78IuBAiBKJVQzp/HaWlxH9M0ZDiMsCyqf/iHKENDEA4jdu6kfV66y7POLBQKl02Enq+kWI6sbSUNGQHprhHqZUPz4UW6q9mq68Ej9GVJbnp6UJ57DlQV513vgu7uBTerVqtUKhWOHTvmmuVUq2inT8PWre6PfWYG9W/+BvuP/mjh40iJePpplKeeAk3D+bVfQ95xR+2ppbWjUkpGTp1i7MUXMYTAbG9HrelmVVWlsbcXtVikoihIRUEDtGIRva8POxKhsHUrhc5OtnzrW4RLJbRSiVxnJ+n9+6k2NHDgoYdIjo2hmCapkRHiLS288aEPsbWvj85jx9DKZaSiuOu2bYTjoJVKOKEQaBpN6TTOxo3ER0ZQpUSqKtJrpHAcwjMzHPriF5ncsAFDCCqJBGqt0u0IgV4zKPJc3DRNY+uzz2JFIpRaWgiVSiRGR7FDIRxdR3Ucdj/yCG/+xm9QqRWQLMtCtywaJyeRtk2+owND1319sdeKK4TAsW1af/hD2s+cQdbyx2988IOUbruNWCzmF+uSyaQvYVOfegrt29+G2u/Z/MQncBZxr1L6+lDPn8fZsgWEoGqaaI89hv3e97ryrStAfeEFlzxrTRgCUH/+c+zbb0d76SWcTZugXAZFwdm8GaWzE+X4cWQiAVJCtYrd1ARNTThLDE5dyjqzfrqHL2sDOk+epHFgAHXDBpR/+S/R6lIElmUtW/IXkO46w5OJnT17lkgkwvbt21f1C1iuvEtcuID653+O1DSQEvW557A//3nYvNnfplqt0tfXx8zMDJqm+aoJMTiIUFWkR5apFExNLX6s559H+cY3oL0dKhXUv/or7M99zi9oLRYhZM+fx/h//182vPgiLZEIxe5u0rt20fuhDyGFYHR0FJnJsEtViVgWtmmi1UhMAKpl0XDuHLGhIfRiEScUQjFNOo4fp/LccziKglZLNSAEOA6qYRCencUWgmoigVqtIjUN6TjY0SiaYVBqbWVm504SExO0nTtHdssWtGrVTRsIgdQ0FMNwLzaaRlIImvr6qEYiFBobmW5vp2pZyEKBEU3D6utzO7hiMdp7e+l8+WUUy6KaSrmRY6mEVq1iJJMkh4aopFIkJiYob92KUiiwsaeHzU8/jbAsbF3HTCY5+9GPYtTlez1fheT0NB1nz1JqawNFQalW2fKzn/FKdzfFYpFsNutfCFVVpVlKdv/1XyM2biScSBByHPRvfIPqvn1Qm9oxB5bl/i5qx5SKArYNjrMs0kVVXfL04DigaVgf+xjCtlFeew0SCczf+i1kVxfmr/86ocFBxPAwOA7GgQMUrmFO3mLm4zz8MMpzz1FNJLAHBykfP87Fj38cpaYsKZVK/gXwSmmGfD5/TZO01ws3Pel6rbpeZLthwwZ27Nix6seZn7pYDOKnP0WGwy4RAoyMoDz7LM4DD1CpVOjr6yMzM8P2zk52Hz3KqydP+lV3uXEjTE8jZmaQ0SiiWMTZvRtGR6GtDeZF2eK55xCGAdPTyMZG9xbwm99kx8AA2ve/D7/2a8h3vMPP+1UqFc6fOEHX7/8+7a+/DlKiF4uE8nmSFy+SePVVXj1wAP3ee1E+8AGqx48T7elB89YH7snuOCi2TahQQIJPyLaqopVKKFLiqCqK4yCkRDEMGqamOPToowhVRa0RiFqp4NSI14xEkLpOcnISvVxGWBYdJ0/6Ea5imkjbBiFwNI1yYyNmNIpiGMSzWXTHoXl6muzWrbzx4Q9TbWigs72dUqmEduoU7Y8/jlMsEi6ViExPu5+f42BrGkYiQSSTIT4+zi3/8A+o//yf0/nqqzRcvEh0ehozHie9dy9aqcTGV15h+H3vA5jT0BH2SLFGxpamEapU0KRE1HLLcKk7Mjc+TqFYpJrLIbNZN6WTyTB54gTRzZv9wp13t+Js2YJsakKMjeHEYkQnJ3EOHkT7v/8XmUph//IvwxJBhv2ud6E+/zxidNS/EFr33QexGOa//bcuCdffQTY3Y3z+8y7p6jrl1laUnp4r/v5XBMch/PzzyB070FQVNm5EDA3R1NxMZfduisUivb29ZLNZJicnL5O1zZ8IHUS6awTvRzi/VXf//v3MzMysSRMD4F9tfUgJ+bz7dyp1qaAx/8crBEa1yvnTp8nlcmxvbeW2559HOX8eqes03Hkn9t69ACgnT4JtI06eRNQiXPUXv0B97DGcD30I+3d/Fzo6IJ1G+du/RX3oIUQ+j2xpQZRKfqeQvm8fsr0d7aGHsONx7IMH/W6ySG8vyf5+HF3HEQLNMIhksziKQtfMDF0XL5I5fZqhd74TxbYpd3RgVaskslkUx0E6DqqnLfY6zrzPqNbSKxUF4TgI20bUvg9Zi35lKISjaWiVinsbrijYuo5erVIVAq1cJpJOoxcKSE3D0nXsaBQrGnWPbZqolkUincYoldDLZYx4nNy2bZSTSbeQRKYAACAASURBVBTTJL9lC53nz7N1dpZyczMN5TJNQiCSSWxVRc9mcYTACIXAcYgPDWFrGtVwmLKus+vb38ZMpTAiEfR4HMU0abpwgdmNGwnNzvqddV4HnOM4lFta3Pc1O4sRjRKdmaHY3Y0MhRBcSvd4v087FgNVRZ2dxYzH0XM5iqEQvek0SqHg1yxisZjfhdb4qU/R9NRTyPFxyhs30tzfD+m0W2B7+WWM3/s9WKRVXW7ahPFf/gvqc8+BlNh33z1XX7tQyi4SQdY8POxicW3kiqrqRuzevqUEVfUnQkciEbZu3Uo8Hvfz6Z7G2JsI3dfXx9e//nVKpRLf+9732L9/P7t3716RN8dis9EAvvSlL/G5z32Oqampa3IX83DTka7jOAwPDzM4OHjZqJl8Pn/Vk3CvhDmeupaF8o1voLzwgrumo0dxPvEJ0HXkffe5uTApsU2T2XSai6kUG1ta2LNnD+pXv4py4QKyJjDveOwx5NGjsGsX4gc/QLa1IUolhJQuiZomlEqI73wHJR7H+U//CfWLX3SJOZNBzs5CJgOqitA05PbtxHt7Yds2pGlS/Yu/IC0lqmXR0dVFuasLHAczHEbP59FKJcCN+nTTBNOk5c03SQ4MoEhJua0NW0rsUAi1XEatv0UVAqXu/wX4Ba9SezvxqSkUKd0CGLhRb7WKFQohbBupadiqilAUjIYGVNNEMQw0w3AjZctCLxaptLSg1y5w+c2b3fxfpUK0WnX3G4+7MrFolNTYGL/0v/83zRcuoCoKpdZWslu2oNQq63YkgtQ0HF1HKArVRILozAyV9nakZVEMh9HHxyk6DmY8TiKbJVypoOdyhDMZ8h0dOI7j5vZr6xO2jW4YTOzYQecbb6AXi+S3b6f/Pe8BLnVJ2raNIgSbX32VjmPH0IpF4vk85bY2Sk1N9Hzwg6i137LjOBiG4UbFudylRpBt29BvuYVt/+N/kOvqQk8mCbe2og0NoZw5s2SHmNy0CetjH7uq3/+aOIwpCtZHPoL+rW+5d3bVKs62bTh1d6r1aYV668x6t7ZDhw6xb98+PvWpTzEwMMCPf/xjdu3axR/+4R8ueykLzUYDGBoa4sknn6R7kbrM1eCmI12v+2ghQ26vkLYWqE8viH/6J5Rnn0Vu2QK2jfKjH0GxiPOv/zVy714K//7fk/vHf6RaLpN63/u4/a67EO3tbmX49GlkZ6cbGUciCEWBkRHYvt3NVZ49C9Xq3PyblChTU4iHH0Y5dsxNK5imGxXXbYNtQ7mM4jg4J04g+/oIFQpsqnV3SVWl2N5ORQgS09OETNN/vULNj7QWpUYyGaSq4gDFSATVsrBCITdXW8stIgTYNvUqWFH7L5rJ+MQphHBTCrXntGoV4TguwQqBUi7jaBpjhw8Tn5pCrV04w/k8Qkq02Vm0ahWpKCQmJtz9KgqOooCUboGvUqGpr4+GgQHUchlHVUFRSA0Noc/OEi4U3OKalP5na4ZCaKUSdjiMatvktm1Da2xEKxZJCoERixEyTRTLohIOM9Haijx3jvGzZ2lyHO549lnCpsktlQqaZaEkEghdp9zYSN9734sVifht0F47cmNfHxteeIFSayu0tBCdmGBy716G3/teVE1D1po9AL/hwyseO46DaZoUCgU2lsukMxlk7aKZymSYOnMGLRQi0dpKqqNjVW0918rW0f6VX0G2tqKcO4dsbsZ+5ztdhUUNy8nlegbyqqry+c9//qrWsdBsNID//J//M3/2Z3/GRz7ykava70K46UhXURR27NixoEv8cvOuV4P6Qpro7XVvoX/xC8TFi2AYKD09yBde4NyDDzLT3Myuj32MjV//Ojz+OOJHP8J5z3twHnjATw/Q0uIWmCoVnOlpGBtDNjejXLyIsCyXQD14Ue/4OKJcdvO489uHvbUNDRGWEjk8jK3rKLaNUss3CssiOj6OHgqhCMF8bYMApOOgeG3UjkM4n0etRXOzGzeSGh93l6RpVJqaiI+P+4Yv4OZ9lVpaQaoqViSCXq3iCOFKxjTNXQ/uBVSrEaxi23S+8gp2TdJUbG5GsSxChQJ6uexeeGrrAXBUFTORQApBJJ+n64UXcDQNW1HQpHSLb7qOapokJyawQiEcXHmaVBSkbaOaJkJROPXAA7S8+SboOvFs1o1QVZV9Dz+MattUUylkNIq6dSsN5TI7GhrY/thjmI7DZDjMpt5eQobBwP79qJEIjRMTxM+cYebAgTlpCCkl4fFxHE1zVRuOQ7WhgdTUFGKeIdD87rr6zkBFUei/9VYOX7iAGY+jVKuUgfCTTxL93veQQnD6ne8kd+edpFIpX0+cSqUuSdgcB+Xll927rrY2t5FjCZXAmtk6CoFz++04t9++4NPL1cZXKpVVHyX06KOP0tXVxcGDB1d1vzcd6S6FtSRdTdN8g2nZ2op67JhLfNWqG+UaBla5zI58nl2PPIL6F3/h5nw3bkSWyyj/838iHn3Uzb9OTsLICGJ0lHCxCF/7Gvof/7GfF/YiwvkQlgXZrFtQq1XxPcha1CfBXZeU6B4RgxtF48qttEplzjFk7b+FoFoWSu0zjaXTSEVxCU1R0ItFl8zrSHfOem0b4a2pVoAD/MfmkLWU2Lru5oINg8b+/jnrFvPWKGrvA8ehGo9jh8M4uk40nXZTM4Bad9ejGcalNTqOS3KRCGYkgp7L8canP40+M4NMJKg2NbHzH/+R2ZYWhGkSzWQQuRzxdJrxO+5A1XXCjoPT0kIDoIVC6I5DKhSiattQKlHs7eVCNEpI1+mamqJ5YgKZTGI1NiJM0724KQrhSoXMhg2Ypul319UTnHdnJ4QgLCXJ/n6MUom+rVsZ6O4mdf48ZixGLJslOj1Nua0NTJNNzzzDbGsrYx0dfuu24ziEw2FisRjdr7xC27PPIpqa0A0D5fXXMT/7WVgkD3o9bB09LEfuudoOY6VSiT/5kz/hJz/5yart08NbinTXMr1QX0iTe/a4ffXT01AsIhUFJRIh0t4Ok5NYP/0pyve/7xLFsWMuyWYyKK+84kp+olHYsAFZqaAqCtrgICIchkLB1VIu9SOryYSkF6l6BOY4LqnWbVpPrAtFtfP/ric1R1H8iFcKgRSCULmMGYngRCJuqqQmC/Miyvn7l3BpH7VUiLfd/HUChIpFn2QX2pcnlxKAFQ67RFqTo3ntwo6mIavVOe97/kVMAJploWYy6KEQna+9xvB730tp0yZi6TSHv/Ql2t58E8W2Ub2Lm6KgWBapoSGqNVmfZlk4uk41EiGZyRDPZukcGkKxLCKxGM233IJt22x+/nkqqgqGwaym0ZNM0tHfj6JpZFMpzh44QKgm6YpOTBAql6k2N1OIxfxuOt0wuOX73yc2NYVp23QAQ//qXzFeKxgd+F//C6Ox0Y0MdR0JRNJpqH1X5cZGbCmpVCpUZmfZ+uMfM9rcDJUKAki9/DLTTz1F+OBBVznR14fy+uuuMuJd71p5ekFK1GeeQXv0UbBtrF/5Fex/9s8WLtitAlZbudDT00NfX58f5Q4PD3PHHXfw8ssvs2HDhmva901Jup4+cj7WOtL10gtFVcXq6MBpbaUtl0ONRNz1VCpuFPx3f+fmpSoVxOQkIpu9pKe0bVdpMDiIiMXQarfu1G6hqcuzLgZZy0t6EaoXCc5H/WPedvX/zo92ndqtv4BLCoV52wkpcXQdMxIhmsm4aZZFLnT10eli5D/nsXlFucuO78muVBUjmXT9IGrQannwakMDZjhMqJa2cGqR+Px1eH+rhkF8YoLd3/oWp37zN9nx3e/SMDBApaWF2MQEim27GmHAjEbRZ2eJF4sMvve9bPvpT4mNjRGamqLc0EDbm29Sbmkhs38/1WiUzT//OaaiYNfkfkIIOqem6HvXu+hJJKgWCmQTCYqmSfX8eW45dYrN584hNA1FVbnw/vdj7d+PlJLWM2eITk1R6uigUqmgTk7S/cor9PzqryKlpNTURHRmBjuVwqndnWx65RX0n/8cpCTT3U3/hz6EBW4eHdxGiJq9ZtU0GR0epqiqtJw9y7Ynn0SJxwnjyiAL/+bfEFuqY24elBMn0P7u79z6haKgPfYYJJPY99237H2sZNBkPp9f1Uh3//79TE5O+v+/detWXnnllatWLwghWoEOKeWpm5J0F4PnJHVVkBL6+xHFoquXned54KUXjh8/jmWa3Parv0rypZeguxs5MICs5WjF2bNQLLo520rF/dvLz9avzbIgn78U8a1g3cslM3/X8/6dvw8PSl2xq/61ipQ+cVWjUXTLIjY1dcVjLmdtC61nsUjXi3ataJTI7OyldeNG+o6qYkQi7jQL23YlbLipF8VxLrvQ+PuveTqkzp2jub+fSD6Po2lY8Th6uewqMDTNTc0YBuFcjqmDB3Fsm1sfe4zBjg70aJTIyZPYsRjlRMJVLAiBbhhUwE8XSNz8aKWjg9DmzbQ4Dq1CEE2n2Ts6Sm7jRkzHQZRKdD/+OI/XdMqRwUEaTZNquez+xiMRQjVpmW3bDP7Kr7Dj+98nlk4jALOhAb1YpNjSghCCpv5+Zl9/nenDh0HTmNy7l9aTJzGTSULVKpWGBsq1CK7zxRcpxuM4tSGZ0d5eBn7wA3J797Jp0yZ/SsdSE52V06fdHLGUUC4jk0nXPKeedKtV1J/8BGVgAGfzZuz3v39OY8hKvE6y2ew1ke5Cs9E+9alPXfX+PAghFCmlA9wL3A38Pzcl6a66v62UKH//9yhPPeW2mqoqzmc/i7zlFuDSaPHZ2VkOHTrkdr0cPYrzznfC5CTi1VfddEJ/v+sDWy7D8DDEYkjTvHSir+JEh4Vum5falgW2XyitoCyxHUA8m132cee/dj4WOs5ilx4JFDZsIL95M6mhIZLj4wu+NjozA0Kg1tItokZ+8yN8f7+KgqPraIZB+/nzhHM5bE1zVROlkp+zVmwbpVwm39VFbGLCJb6awsEJh4mUy0hVJZzJIKVENwykEEwcPUrnq69iJRKISgUjEqG0ZYtfWNMti6azZ0n096MUi6gtLYRUFRmLEZuaYveWLRihEIZpop07R6VcpmKaJDMZTm3dysTIiG/SXnngARKzs1i6TtczzxB1HJSaX4UTjZLIZknXLC/73/EOjFSK5PAw+cZGxo4eRUYi2JblBgQ172Rqn6FdM5jKTE1RuXiRTChEtakJiTtItKGhgXg87hfs1MZGRF8fajrtfoaGgfnAA5c+eMdB/+u/Rn39dZxUCv2NN1D6+zF/+7d9ze56mt0sNhvNw0LKhmXC+5neCmThJk0vrDZETw/Kz36G7O52SfPiRdQvfIHMH/0RF6pVpJRs2bLF1wa7LxLIhgaUH/0I5ec/R/T1ufnIatWXUrFAjnIlhHXFda/S9svJ9y613UIR5BVTJEusZaFoWwKhUonWM2cIFwoL7k+tRbcObqoEVfXlabK+kFd3fEdRELaNo2lsfOEF1ErFV1+ohoEVCmGmUn5btxmLYYfD2LZNtakJ1XHY2NNDrFJBqVRQTZPU8DBGMknvBz9Ipa0NRwhio6OYXV1M3X03VjLpFh8Ng13/+I9ER0dBShoHB0HTKHR1Ec5kKLe0YNYKW9attzIBdD3/PKZh0H/4MLzvfcRKJUzTJJvNMlEq0dHXR1OxSHF2lmgm4xYKNQ21XKbQ2nrJiyISYeLIESaPHvXvDq3ac+k77qDrF7/ASCRQavny6dZWYqUSex9/nHjtLie9cye973kPRSldi8dawQ6gKZfj8OAgak1toaiqa5RTu1iJTAblzTdxurtdBUNjI8rZs4ipKWQt4l4J6d7AUyO8n1oOuF0I8f/dlKS7VKRbb7a9bOTzrquXYSB+8Qvs2VmsfB77D/6AW/7gD0jccQe2bdPb23vpNdks6p//OeKJJ1zPhIWi2EWKQjc7Vus9LfciAG4E7snFlsoLS0DFVV1ITypXi3YFbj5Y1FIRSk1dEcnlLkvvOLqOHQphJJNYtdtkL2/sABvOnCG/axfZ7m52HTvmpjKkpBqPI4E3P/Up2o4fZ/tjj7lNAA0NXHjf+6g2NPjHig8MEBkbo9jR4dYpQiEae3qwdZ1SezsX3v9+EAK9RjxTe/cyceut5HM5KtUqHbrumzk5ts3mn/yEtjNnsHQdikVsx0EZHsZ0HN7cvJmzsRiJTIZIrQbhjU7y6iCKotA4OEiirw+rdj6Y8ThTO3aAlOw4eZL49DSl1lak49B67hzZri5mbrvN35c3vaWay5Hp7CQ+Our6c+g6xiuvcObll0m2tNDsOHTU7kbmfpGXHlmpgflaT8C+GtRSCwB/C4SBd9yUpLsUvGLaSkhXbtwIgHn2LHY67bbSbt9OS3c38mc/w6mZZdeP1hF9fW5HmidtCrBsrDTav5ZtJfjpBfcBiRMKUWxpITk+7kbAuDph7/USN79tpFJuE0el4jacKAoIweYXXnAledmsG3U7jpsPVxQihQIbTp5kz0MP0TA4SKGzE7OpidDsLFt+9jPOf/SjvkevYttuBFhbQ6WhgczOnbz24IPIcJhIqUSsWKSaSOD98lRVxappeb3fuGmahLJZ2s6fp7Rhg9tw09JCdGqKno9+lGoiQTUaZUNtqkc+n2dqasqXonkm7W3pNDt/9CPMWAwUhbYzZyi2tBBNp0k6DlpDA0ZNy6uoKqauk8hmydZpiT0yNxobiU1MIByHSlMTarmMnk5TeOMN0lu30uc4bE8kaHnpJZRUioQQhO+5x3dBg7eGraMQQkj3VuIO4Bjw5bcc6XqysWULpW2b3OQkk3v3svG73yXlOIhNm5BHjriRr+euNT+6TqdhaCgg3KvAan1mS5G3R7J+m3Jds0k1mSSSy7nRb80jYqF1OYriR7fFjg4aBgcJl0pUYzFitdE8iuO4ZjxCuPUA2wbLouull9ANg8ahIaqNjaR37nRJKJejcXQURdOotrYigYZz54hms2iVCuMHDqAZBrd/7Wvu3DghmNy9mzOf/CSGrrvmP4qCCjS/9hobjh0jXChQ6uhArVYveZPgKjfMSASamgjVvB8ikQgtLS1+msHzMyiXy0SPH2emVKKoqrROTqLk86SKRffioyhUal11Zu3c0kyTUmurb+LjzcgDMFpbKTc1EZ+cRCsWsUMhShs2EC8UqNbW1/fe95Jrb6fbtlHvuAPzPe+ZIyl7i43qOYBLvPfelKS7VHphJbKx9PAw1T//cxLDw+xMJlF/6ZcQY2OuEiGfR/T34/z6r7uFBe/Ln5hA+e53EadPL89SL8CqY34+eEFFwgKPe6+rhkJI0yRU30Y977VI6eZ1TRMrGvX1xjiOqxrwfhM1Ule8fD6AEIQLBVfrLASRdJquTIbR229n3z/8A6FKBaVaJTo9jaXrNPX3Y0QiZLZtI1ypcPj//B+aL1yg3NgIisLG115j42uvodo2VjTK8XvvxYjHufXVV33ZXnJ83L3AqCqlhgZCxSKzGza4Hri1NXq52/q2ZC8yjUQiNLS30zAxQbi5mebhYUKmSSkcpqiqhHM5Mg0NjG3eTPvICKqmMX7gAJPbt7tFsdq+hG27FzNVZWbHDqqJBGY8jgyFiKXTmMnkJYKORtn66U/T3Ny8YI7/rTB+XUopawqG/yGE2AB8/KYk3aWgadqSDRJSSmZmZujp6aH9xRfZks2iHTzokuy5czh79iD6+1FOnEB2dSEefxztu99FdnezWddRhXBNaHQd4nHk9PSS0VYQCa8u5muLYYW5YcehcXR00UJe/X6j2SwIgVYs0phO+8TrFd+UWuff/LUoNYMbxbZduVkohC0EHadOYcbjWJEIsYkJ18s3FsOu2UA2DwxQ3LCBhpqFYqJmHhQqFBBAtaEBtVzm0JNPkmtpIVQz5XFCIfRSiWJLC7MtLTi6TmHHDoZr5jctJ07QceoUVCqkb72V9KFDOInEnAhVVVUm9u6l9dw54um0O8lDCGQiQSwUAiGItLczdP/9DKbTFMplckJg9vS4o4tUlf2vvUbn0BAiHGbgne+k/7772PODHxDN5dDLZSb37CHb2YmUkq6uLm699dYlSXXZQwNwSfdG9NKtpRccIcS/xv2Z3Jw63aUiXV3XF4x0pZSk02l6enqIRqPs3buX1PHjiMZGGBhwbRUnJ1GfftqNYFpb3aaGmRm382rTJhpOnUKUSsgPftCtuN5zD8rAwOLrJCDe1cZyFRJXin6XUn962zm14luoUHAr7jWtcr21pbetLQRCUVBs+5LnhSdbsyw028YGlEqFhvFxV1EhBOF83vWoiEYJzc4SzmTcoqwQSNNEdxxwHJxQyG1EAULlMq2jo25nIFBqaUHWmhwmDx8ms28f4Opctz3xBDsffZRILueOtH/mGbJbt/LaZz5DvqXFbzuWUmK2tXH2/vtpOHuWYkMDrRcuuP4UjkOuqYmZvXuJ1NQbzUBHzZDHcRy6H32Ubc8+iy0l5VCIjrEx8kePcqGjg91jY9iqSuPAADufeYbU7/wObR0dV/yubdsmupCh+wK4UUm3Dh8HDgL/dFOS7lKYn16oNzmPxWLs27ePeG00ttyxA+W55/yGBlEsgqK4baSZDFLTEIUCNDVBOu2akw8NwYULiIsXXV3uFRAQ7vXBSqLfxbZTaw5qgkvR7UKFOsAtXtWCAS8K9vPKtu0W4RyHUKnkK12UGokL20avuZ1R8yP2omgv3+woCqFCwfXBcBwsRXENfEyTxOionwLZ/uSTDJTLjB86RNiy2PLTnxIqlVz3ONtGrVaJj42x95vf5MR/+A+YNU8FL5CZjccpHDnC9OHD2I89RmpkBIRgRFWZOnzYLW4ZBlHTxIjFELqOZlnsev55FMfBjMXYMD1NaHaWzRMTmDXf5v5duxDxOJ3nz5N+8UWKBw/6Y33C4fCCgdRK0gvVanXZBL2ekJe6tR4EDgF3vuVIV9d1yrWunampKXp7e0kkEuzfv/+yWUvy3e/GOXUK9dVX3ajW8z+wbdenVlVdbef4OEhJKp1GpNOI731vjgwpwFsbkppz2iLPecTpRb1qjXDndNlJiRGPoxmGP79tvoGPUqn4Zj0CV2tshcNgWWg1jwSJ29BRbmwknsv5rdvVhgaMZJJUfz+3nz9Pzwc+QO999xGq2Vxq1aq7bc0EvmFwkI3PP8/QvfeiKIo/ydkrhqn5PNQ8JkotLby8Ywebw2Gah4bY8cQTrrZZCNK7d5Ps7yc2Po5QFOLT06i19xfNZomoKqWODvYIgX7gAGJggHAiQSYSIZfLMTIyQrVaRVVVf2Cl9+9ySfequ1DXF92ADTx7U5LuUukFVVXJ5XK8+OKLpFIpDhw4sPhgO03D+cxnEENDiJ/+FGV42PU+qEUlMpt1o9xYzO1QSqfdVt+6EyPAzY/57dHzIRZ5fLHt6x/3ibcWtZqRyGV648uUFjWohkE1mXTHJdVIzo5EcGybRC3HrBgGQkoSo6OUm5owWlqgWGTDiRNkdu+m2NFBcmjIlbXVUhWKZaEaBhtfegkJ9L/rXQA+wSmWxa5HHnEN5FMpouk0d87MkLvtNnY88QRGNIoDdLzxBm2vv+4qQGp5bI9wvf1gWaSmpnBaWrBr/iKRnTsvM42xLMufCDExMUGxWGR2dpZyuezbU3rjeRZrDV71TtVVghAiBPwmEAIiNyXpApeZ3njjey5cuIAQgsOHDy/vdkPXsX/3d1ELBeTDD7vGJIriWtxFo8gDB1zivXgRpXbclfgkBLixsZAfRb2J0PzHrrSvpUg4WpOZzY+CvecXQnh21n2NqiJqPsGqZfk5ae91qmdBKYQ75aNaZdsTTzC2f79rP+o4hHI5hDegUghKDQ20vfEGk/v3YyWTyFqOVk+nCeVylGq+DUZ7Ow0XL2IMDaFls+58u9lZN2etKG5aRFEIZbNz1uS/RyEQAwNoP/whzrZtaI88gvngg+6Yqxo0TaOxsXGO7Ov48ePs3LnTH9GTTqcp1Uzbo9EoiUSCcrmM4zjLTkNcD0gpDSHEnwIlICuuEJrfsOxiGIY/BmV8fJz+/n4aGhro6OhgeHh45cbDjoN29CiUy4hk0lUn5HI4R4+iPP00lEqQzbo/qIB43zaoJ8iVFu4We345ZDv/tQB2bcwRtu0GAPO2kUJgR6NUap69xfZ2ojMzrnOc4xDO5VBt29XMNje7I4uEILdlC1JVGb7rLiaPHEFNpznwzW9SqU02DmWzKBcuQGcnrbWOOaU2JBRFwRECKxQiOTKCVqlcVqS0d+500xG3345zyy2IkRGcPXsw/+N/XPJ9v/LKK9xxxx2XRbZOrcmjUCjwzDPP8NBDD3HmzBn27t3Lbbfdxqc//WmOHDmyjE/WxULz0T73uc/x2GOPEQqF2LFjB1/72tdWqgP2vx4hRBh4N3A/UFobc8t1wujoKC+88ALZbJZDhw6xd+9ePxe0YigKzm/9FqKx0TWpMQycI0cQIyNgWX5KAbgi4QZ0/NbBQjrfK213peeXSlcsBq9tGSEoJxL+euab9wjLIpJOY+s6yYkJIvk80UyGSD6PalkgJWq1SmJ8nMT4OOFMhlR/P9GJCbY88wzxgQHslhbSBw8Sm5qi6dw52o8fJ1Kp0Hrxoqu51TQU20YvFJjZsoVyQwORQsF9LhZDhkJuQbomORP5PORyro80IMpltG9+E/1LX0LUt9bPg5RyYQczRSEej9PR0cH999/PV77yFe677z5+/OMf84lPfIK2uq625eDBBx/k8ccfn/PY+973Pt58801ef/11brnlFv70T/90RfsEVy5W+/M24D8AA8DuGzcmvwJOnz7tpxHqu8+uxcjcefBBVyp24gSytRXnQx9C+8hHYPt25NgY0rJcExuWPmluzMxSgGvFan+vK9mfrJFYoa0NJZdzxx/N94tQVQqdnWiVCtFsFisS8ScveyoI/7hSohoGZiiEFYuhl8uECwUSMzMUt26l7x3vIN3Zyb5vf5upffswpqeJzM6i2DbZnTuxARyHu7P/PgAAIABJREFUcmcnZcNg6td+jc3t7YR//GPkqVPIUslV/oA7C7BYRLl4ETk7i3LmDDKRQBkbI/SXf4nxhS/4JjdXA68xIplMcvfdd6/49QvNR3v/+9/v/3333Xfzne9856rXB2zFJdyvAAduWtK97bbb5ngheJjvkbAi6Lrbgfbrv+7+v+O4I61HRxEzM65l4woQaHTfOrhe36ME13fBtjESCRJTU0jL8gl3fm640NWFXi4TOX3aLZqZJo6qotaRbn2EHC4W0QYGXPlXbfKG17FW3LkTs6mJYiqFU6kgcjl3rBJukW/irrsYe8c72LJlCzt27ECA6zPx1a8ipqeR4TDOkSPIDRsQg4Oor70GZ8641qldXcimJsTwMMqFC9jXQLpr7TD20EMP8bGrnKJcwyRQBX4XltaI39BYrFK5qhVMRcH5wAfcab2FAnKFZB4QboDVgADXhMkwXMlXnQbY1xELd+Jy+xtvEJmexozFMJJJys3N7m2/qs55jay1sIua4iCcz4NpMr15s98iLFSV6T17aBgaoqM2VTlSM/mZ2b+f3C//MkeOHGHnzp3ueTc7i/bzn2MfPoz14Q9DMokYH0e2tLhph0gEuXkzzpYtKNPTvjufXGAu20pkYGvZGPEnf/InaJrGb/7mb674tXUa3ZeBF4DDgH7TRrrrAilRfvjDS2N2rvd6ArxtUH+XJKjphGsTjkUtN+vB65xTar4QUkqMRIKJQ4eIzM4iFYWZzZvpfPVVmv9/9t48uq6zvPf/vHvvM5+jo9mSJXmS5HmMxwyQBIwDKySQEEIuLUmgwA30XtIC5YZfe7mEsmigQ0rSu0i5GRsIKbRAaFoIwTQJDpkdO3Zsy5IlW9ZgzdKZdIa99/v74z37+Eg+mmzZsV191/KSjqSzJ+/z3c/7PN/n+7S2Ks9hKdFR+mCy+eJ0MIhL11URGVWw6tq0iarnnkMC0bo6UuEwo+Xl2LfdxtZly8bkXEVfn2qRr6xUbm4rV6K99RaipQXt6FHsVauQNTXor76qJmi3tGBdeSX2mjWnnP9MzW6K8pQQs4XHHnuMp59+mp07d55RMCelTAP/KoT4T2D9BUu6k10Ex9dzylEfponYuxdGRtTYnfF+nIkEorsbEQwqz92zNH9tDnMYj1NkV9noVstOYpa6rgpjnOxsc1qX3aOjGKZJ1d69JEMhEhUVFLe3c+jWWzF9Pua/+CILd+7ENzREKmvjKExTzZXLpuecUfBGJEKipIThBQsoKipC0zRqMhmoqjp1yGQ4rFJyWW8Se+FCEALz1lvR3n4bbf9+ZGUl1uWXIw4exHr3u8n88R8XHP0+E3vWkZERFixYcHoXegL86le/4tvf/jbPP//8xDr/KSCEuAN4AygHrgEOAf0XLOlOBqcV2D3BOGlAyW6+/301oTc7vty6/XZkVigOqJ+XlSG7uxGGkSPdidyr5iLhOZwtaJDz1B3VdXyZDDYF7jnDwM4OLvX29eGKRkkVFZEqK2PRb37Dnk99ikM33ICWSrFo507VYGFZ2LpOJDufDU4GLjIQUFMuLItgMEh5MIg2PKzIehykzweBAMbPfqZIt7GR9J/9GfaGDVibN+P+h39AHDumPmvveQ+Zz39eTSsuAIf0p4Ph4WHWrl07rb8thELz0f7qr/6KVCrF+973PkAV0x544IGZbvp5oAV4D1ABVALFFyzpTsfecTLSFW1tiN27kYsWKb1hKoX2xBNYl19+8gnu82F94Qto99yD3dtbMAE+R7hzOFvIv7fyM5w+01SkaBiMVFTgjUSUv0KWHEW22OXKZDBSKarffJNoTQ2R+fNxZTIk3W4OX3cdxUePEujrU2Y3Ph/Rqirqd+7ENzBAvLqajquvJlNWRvuGDaxuaaEklVJz3j75SdUyPw6uJ5+EWAzz/e9HDA1BJoN0jG2CQdJf+pKSYAqBrKk5aZdaAOfSS7fQfLTZGEqJGkZ5qZTyYeAZ54cXLOlOhmnJxrJLqdx4ELdbRbKmqb5H/ce3bN6Ma+FCylHKiKJjxzAY27U0hzmcDRRyVLOFIOXx4M7qbYv6+0nmjV0n615mZDIgBJamkdR1/MePM+j3o7/0EsuzfrjHtm+n4ec/V0Y6UlL59ttEFi5ktLKS8LFjuH7xCwY//3mKP/MZoj09BL1e5Lx5aqx6AWh796opLIaBLCpCO34ccfy4+lkkgv6f/4k2PIy1erWaRzgJzuVQyrMICbxLCHE58DYq8t1zUZLudIzMZV0dBALQ2wtFRYieHuz168HtxrIsjh49yu7XX6fu+edZ09FBqrwcUwgyPT0Yef3lc5jDuYQmJe6spMuZ96anUgwuWYJvaAhPNIorkchpcV2miZ5MYmsausvF8l27CPb2ItJpap95huHyco5t2IA/naZm/341tt3lIhMMsrCvj0VDQ7QHg9gLF2JPQLYOZHGx0rGHw5BMKpnYrl3gcmE89RSitxc8HvRdu8h87GNY27dPuK2Z5nTPR1tHKeX3hRAvAtcBW4CVwJsXLOmejqfuGBQVYX3pS2g//CGivx/78svJ3HADnfv389aRIyRSKRa//TZL3noLwzQRw8P4+/ow59p/5/AOw5nnlvH7SZWUMFhfjzuRwOjrw/T5cI3Tk2umiRkIUHn8OKlgEAIBrOJi9N5eyoaHGUkmSdo2adNkdGSEzMAAdR0duEdHMR9+mPmRCNayZRhr1mB++MMwQVSZ+cQncN93HwwOou/dqxogjh5F/9a3ALAvuQQAmUphPP001nvfe3KlOQ4zyelGIpHzknQBpJRvo6JchBDvBr58wZLuZJhqekQOtbXY/+t/Yds2Pbt2IT/zGYxolDV+P63XXUf122+TqK3FE4vhjkTQk8lcxXgurTCHc4lCxjy22006GFS62ngcX3//2Hb1/L/1eNQUinicZGkpWlYB4UokqDt4EOly4clkCAmB1teHSKWIr1wJPT24jh9n1DQx29vxPfkk9vLl6MuXI//bf1NRrXOMjY2kv/Y19F/9ChGJYK9dq0g1mUTfuzdHumRd/CaDaZp4JyiyjUcikTgvvXQdCCG8wGqgCPjhBUu6UxXSpkO6tm3T2dnJsYMHqX/gAUxNw6ysxBWNsvxnP1NVVk3DcrkwUqmcZ+p0x8XMYQ6zCSkEoyUlyGQSNyBdLrwjIwSyJFnIctSRklm6TjoQwDcykhvKaYyOkgkE8MTjyrB9wwa0cBjR3o69bRu+efMwfvtbkuEwwWAQ19AQ9PYSqa7GfO45Evv303n77YSKiwm4XISEIJBOo/n9ykHMGZJZVoZ0udBeew2RTW1kpujwmqmX7pTy0HcAQogbgcuBEOAC6oD2C5Z04VR7RwculytnAVcItm3T1dXFsWPH8Hg8yL4+ZDKJWV6OrmkEBgYItreTqKjAPzCAlkphGgbjtRBzZDuHc4H88fFSCEbKynCFQoSPHsWdlXvpqdSEI4oAfIODoGkki4rwDg1h+nyk/X4iS5ZQNjiIFgoBYK1ahZ5IQDKpisrptJqKHQhgdHdDMEi4qgoZClHW0UFJdTWpffvwPvEExsGDyEyGyPz5BPr7MVMptJISPNEomfe/H9dzz0FxMXZ5OVpTE9r+/QUbI2Bm49fh/PPSzXroXgf0A28BL0spX4eLVL0wUSFNSkl3dzdtbW2Ul5ezefNm3G436YULEb/+NaPBIGZ3N4GuLiyfj5HFiwl0deEZGUHkeZjOYQ7nCmNcxHQdVzLJYE0NKw8cULndbGfZVO+3XS7csRiWy6VWa5pGorGRklWrcP/+95BIIC0L0d2NXVWFuX07rn/9V4jFMFIptD17EMPDSokghBo1b9u4h4cJ/vznCCnRXC6kx4NP1zEbGpQBTyDAsTVr8B08iL+uDq28HLfbrWa27d0LE5DudCPdmRTczjEs4DtSyoNZa0cphCgHrIuSdMdLxhzP3ba2NkpLS9m0adMYZzJ3RQXiM5/B9/jjqgvN6yW9bRvz+/txmya6aZ7S6z6HOZwL5KeynPRBfXOzkodNgtx9mpWN6ek0GZ8PTzyOyGRwp9OEPB6skhKkbaMdPYrwetE6OjB37MDesAH57LOYN99M7NVXCR8+rJofEgn0Z57BXr2azIc/jEgkEEKo4a0uF/h8iKEhtGXL8CxciPY//ydFgOvRR+G110j6fKTTaeJDQ5zo6aH/tdfw+/0EAgFCoRDBYBC32z1t0j1bLcBnCimlBRzMEu29gA/VkSYvaNKdKL3gRLrONIm2tjaKi4tPsYHMh7ziCsyKCvRvfAPR2or78GFco6NoE1g5jheuj8+jzRHzHGYTAuWT4I7HJ/T1ldmGCYmaJAHK+JysibmRTGLpOobHA4EA9uLFiOFhRDyODIVUO66uo7/yCvoLL6iI1uNBj0aVxNK2sdevR7S1YV55JdaHP4xoaVFGUNlcMKCINxLBymurN9//ftz79hHo7SUA2IsX4/vUp1gYDpNIJIjFYgwNDdHR0UEqlSKZTHLs2LEcEQcCgYIR7fmq0c2OXpeoFuB6YD8wBCy5oEl3IhiGQSKR4OWXXyYcDrNhw4apK6FSov3zP0NREXLtWjXtt71dDZ/MGt7A2J54Cnxf6PUc5jCbKHS/ZbxepGWhO2Pfs9NN9FQKOztgUmgaLstClpZCIKC6w3QdMTiousd0HebPh4GBkw5gzpDNVApZWqp8b1OpXCenbGjA2r4d/Te/QYbDiP5+rAULsLZuHaPDlVVVpP78z9GbmpCahr1iBRQVoUFuKnA+XnnlFSoqKojH43R2dhKPx7FtG7/fn/t7XdcZGhoinKegOA9RB7wlpbzD+cEFTbrjk+fOuPUjR46QSqW47LLLpi8licfROjqQdXXI6mpkYyPak09CNIo0zTEm0HOYwzuF8S3BoDwZpBAY2RxvKhjESKUw0mlsXSddXIxWXY1hWYjeXmRxMbKiAu3wYezGRjhyRKkfTpyA/n7ssjLsZcuQjY3oL7yA6fMhBgexa2sR3d0qSnZysUJg3nSTap+Px5FFRSpiDgZP1eCWlmJdeum0zlPTNEpLSyktLT15nnljekZGRnjkkUf4xS9+gWVZfOELX2DdunXceOONM9LsFhrVMzg4yMc+9jGOHj3KokWL+PGPf3wmOmADaBRCXAL0AKkLdkYaqCS6ZVlIKRkYGODIkSP4/X7q6+vZs2cPl1122Uw2hn7nnUp36PMpb4ZnnkH6/WoJFo3mRpDk5qTNuY7N4R2CMxPNGevuzC3TMhmkYWC7XBiJhLpPy8qwrrxStQgHAmjd3UqdoGmITAatqUkVyYRQY9dDIZI/+hH2li2Izk7eeuUV1lVXo+/bh/T7sbZvn7AVeLbw2muvsXnz5in/7qmnnuKtt97i2muv5a233uJjH/sYlZWV097PCy+8QDAY5NZbb82R7le+8hVKS0u56667uOeeexgaGuLb3/72TE8hSxOiBLgDWI5SMTRe8JGuQ7Zer5fVq1cTCAROb2OGgf2pT6F///vKOGTvXuSGDSqtsGcP0uVCuFxKQjNHtnN4B5GrJ0hJqqgIbXgYzbKQuk4yEMAdj6OnUmolGAggg0H011/HXrQI3G7kwoXQ16cCicFBME1kMIj0elWdZOHCnC+JrK0l2d2NvXkz9kyCmHOEkZERqqurufLKK7nyyitn/P5Co3qeeuopnnvuOQBuu+02rrrqqtMhXSevOwT8lRDifcC7gP+8oEm3q6uLrq4uVq5ceUpOCFS6YSb6PblxI+bXv444cQLt0UchHkd0danuGSHUjDTLmiuUzeEdRX6KoairK/facrnwpNNIt1vJybJm5GJ4GKu+HhkIKEIFKC5G7NqlgopUSv2uokJFyfPnKx+Fdwi2bU/7czs8PExNTc2s7r+np4fqbCRfXV1Nb2/vaW1HSimzcrGPouak9QD+C1p6Wl1dzfr16wsSrq7rWKeTh62uRm7YgH3FFWi7diH27EGk04hMRt2gc94LczgPIVCKBT2TQSstVXnVcFj9y2TQDxxAa25WRTNAdHejnTiBdc01WO95j7rH+/uxy8sxr78+Z+g/k7E5s4Vzaet4tiCEcLj1VuAGwDEg/vAFTbqTtf7NeCqwaSrHsUgEADE0hFy6FHw+ZUNXXn4ycjijo57DHM4chQpqOWXN4KBqvRVCTUVJJrFLSsAw0H/zG0R7O1pLC/bChSqn29Wlisfl5YhQCLl8ea4INpOoc7YwU9KdbfXCvHnz6O7uBqC7u3tGOeI8OBfto8DfSin/Pynl/5VSfuiCTi9MhunYO+YwMIB+//2qMisl1oc+BN3dcOKEImO/H5nJKCI+u4c9hzmcGYRAWBbSGX9uWcpIvLIS67LL0N58E4JBzB070A8fVrIx21ZDI2tqkOXl6Dt3Yq9aBSjSPdcdXzNpAT4bOt3rr7+exx57jLvuuovHHnuMD33oQ6ezGYcqDgPXCiH6gSgX+mDKqewdpxvpao8/Dj09yNpapWL43vcQBw8qvWIqBb29SE1DGgbS41G53tk6iTnM4TQxoYm+87kwDPV9JoO1caOScdXVKYnX2rWI734X/Xe/g1gMysuxly5VqoY8B7CZeiDMBmZqYH4mto6FRvXcdddd3HzzzTz00EMsWLCAn/zkJ6ezaU0IIYEHgC8Cf4LK6W65oEl3Mswk0hWtrVBR4bxREa5tIzweFQU4+VyyOS4hTrHQm8Mc3gmcUtTVNOWWp+vYZWVYl12G//XXobcXLRrFrq3FWrsW/H7SX/oS2qWX4v5//w9ZXIyIxyEWw7rmGvRnn1VzzpYtu6hJt9CoHoCdO3ee9jYBpJQO+ewHPpWdHlEF/PMc6QJywQJEW5uacGpZShZmGGqkj9uNyLYU25qmTG+EUJKaQACi0bni2hzOGiZTyhT8edYUx5XJYA8NEZk3j5GFC+lZupR0TQ1y40b8Q0OETFPJK6+6itSiRRg7d0Img71wIcbPf54ztPEHg7imsGGcbcyEdGOxWMFC+jsNIcS/AWlgAOgEjgF9QPUFTbqzlV6wb70V/e//Hjo6ELaN/a53oT3/PNKRh2VJVbcsJalxu9GKihC6joxE5lINczhrKOT5MdH9JlH+DBiGkktaFuHf/Q57xQp8111HevVqYrEYsViMrq4uYrHYydba976XUChE+WOPKS1vebnaf3MzRfv3w5YtZ/Esx2K6KY3z2UsXuBMIA8Uo/4VKYAlQcUGTLkxuepNKpaa3kcpKrP/zf5R6wesl7XKR+uxnKX7mGTTbRrjdSqfr84GmYZkmYv16OHJECcrnZqbN4RyhkMESgDQMcLmUljwQUKu07OfC2rwZ10MPYd99N8WlpWMKT/mttUNDQ3D8uJrkm52m7TJNSCSwbfuckZtpmvgLjHifCOebly6AlLJ1ot9d8KQ7EWYkGZMSPB7M6mqOHj1KT08Pi7/zHcIbNsDPf44diSA0TRXRbJuhykpKP/5x9AceUL3syeRctDuHc4Yxjna6rlJhlqW+ulzIqio1BNK2keEwlJVBZydafz92npcBqCgxEAgQCASYN28e+g034Hr8cTI+H+boKMlMht6aGo6/8QZCiDEWjMFgcNppgJlguumFd0LONhu44El3KnvHSdHaiv7ww8jeXgarqmi6/HKqV6zg0ksvRdM07C9+ETwetJ071XKttxeZSuEZHER7+mno6lJKhqyjE8yN8JnDOULWOQzDUBIxXVddZMkkjIwgLUsNoHzveyGTUY5h09CzWu96F9g2+gsvoJWUMHjjjZTU11NXV4dlWcTjcaLRKD09PRw5cgTLsvD5fDkSDoVCeDyeMyLD6ZJuNBollJ14cSHhgifdiTDlROCREfR77yWWSjFk25S0tLDN70fu2HFScuPxYH/uc6ot+Omn1bKtthYGBtCampRhiNc7xo9hjmzncLYhhUBko1uRySg1jaYhNQ0qKrDnzSPziU9gPPsspFJoJ06QuekmpdedCkJgXXUV1lVXATDa0YGeTSvouk5RUdEY03ApZS49EY1G6e7uJplMYhjGmIg4EAhMOz0x3WkQw8PD52U32lS44El3oifqZMMppZT079mDdvw4xuLF1BQXowmBOHIEc3RUtVA68Pmwb7gB0dGhnJWKipC//CWMjio9o2nOSL0w59swh9OGpinDcCHUV5cLMhl1H2YyiL4+pMsFfj/Wjh1Y27cj+vogHEbOoKtK9PVh/PCHaMePU1xcTOKjH1U+u4X+Vgj8fj9+v39M51Ymk8kR8fHjx4lnhwEEAoExUbEr2+WZj+mOXz9fDcynwgVPuhOhUHpBSklfXx9Hjhyh0jRpKC1FKy5W8q/RUaTbDQUmS8gFC5SwPFtQs91ulW7o61NfpxgnndsOc4Q7hzOA202mqAjXyIjS1Q4NITUNYZpKV26a0NGBdc01EAopcp4pKaVSuO6/X1k9lpbibmnB89hj8Jd/qXLG04TL5aKkpGSMhta2beLxOLFYjIGBAY4ePYppmng8njFRcSaTmTbpnucG5gVx0ZKupmljcr0DAwO0tLQQCARYv349Pq9Xtf3u3KluVsPA+tznoNCypqYG64470O6/H4aHGV2yBP9734v3y19WLcKapm5SKU/piZ9swsQc5jATyKIiLJcLw+1WRjaWpfK3oKJeTUMWFaEdO6b046cxO0z09SEGBpBZ5650RQXB3l5F8E4D0WlC0zRCodCYPKyUklQqlYuKe3p6iMVi7NmzZ0xEXGhcz1yk+w5hqoT9yMgIhw8fxuVyneK3a191FcYLL6gbNxgc0/54CiIRNbantBTP4CB2MolctUp5kgaDyJYWGBjIKRwAZZnH5PPV5jCHqSBBFc7KysjoOm6PB0pKwLbRhodVLjccVlMbfD5EJoOIRtXrmcLrVUU3y1L7zGTQhMCeYLbgmUIIgdfrxev1Up7VBr/66qusW7cupyl2xvVIKfH5fIRCITo7O+ns7Jy1SPfee+/lwQcfRAjBmjVreOSRR6Ye8XWauOBJdyJEo1ESiQQtLS0sW7bs1ImhUqI/8IDS3m7YAMkk+iOPYC5eDOMLDrEY2o9+pHK6bjcZlwvjhReQ9fXQ3Y2IRJRvg8+nGilCIWhvV0WOPCLPRcBzbcRzmAmcDshkEqu4WA18XLlSPfATCeUq5nIhS0oU2RYXqzlopwFZVkZm+3ZczzyD1DRcQ0Mkb74Z9zmeuGsYBsXFxQU1xdFolN/+9rf88pe/ZGhoiGeffZZ169bxrW9967QkbJ2dndx3330cOHAAn8/HzTffzJNPPsntt98+i2d0Ehc86Y6PdB2iTSaTeL1e1q9fX7gSmkpBTw8sWKBee70n87TjSTeRUGkDtxsAze3GTqWwbr0V/ec/V3PUiouRVVVor74KVVWIf/s3ZCpVMN8rQiGIxZDZIYJzmMNEkKAKtV4v1qJFeA4cwBgYgKYmZd9YVIQMh9G6uhAtLVjbtpH+6ldhurMBx0MIrBtvRK5YgRgcpGNoiPnveQ/u2TypSTDZ4IF8TfFf/MVfoOs6l1xyCVdccQX79+8/I82waZqMjo7icrlIJBLMn6BwOBu44EnXQTKZpLW1lUgkQkNDA2VlZezevXti+YmzRBsehuJiVf2VElnIPKO0FFlWpjrWKipwjYxgBYPomzZhXXYZJBJquupzz8Hrr0N7u4o6enoKe55Goyranf3LMIeLDc7cstJS9DfeQEsmlXSxpATR3Kym8vr9mGvXQiZD5s47kUuWnPE+7ZUrAYjv3Yt+FhogJoJlWdOWljlmN1VVVVRVVZ32Pmtqavjyl7/MggUL8Pl87Nixgx07dpz29qbCedm0PBNkMhmamprYvXs3paWlbN26lfLycoQQk8rGEALrjjtUxHvgAKK5Geumm6DQ6A/DwPrCF1QE3N6ODIcZ+aM/UtGErqt0gqYhV6+G7m7koUOkYjFSRUUqr+Z2I1yukyQr5eT54znMIQuh62oVVlmJlm1rF7qu7qnR0VwKS3/7bYRj1DSLONfWjtOVi8HsFdKGhoZ46qmnaGtro6uri3g8zg9+8IMz3u5EuOAjXU3TCAaDLF269JRlyZRdaaWlijAHBlRnz4EDyKuvVtKw8aiqwv6LvwDbZrC9veCNYbW0EC8tZTQcpqynB1dRkYqknTlrc5jDTCAEVkUFwu1W+Vsp0UwTTFONSzcMZCoFXi8kEkhNw86O2ZktnGvSPZe2jg5+85vfsHjxYiqy6owbb7yR3//+9/zhH/7hGW+7EC540jUMY8LBdFP5L2i/+IWahrpyJVJKtH37kLt2Id/znol3qGmnkLmVTDL04IO4fvYzwh0dhKVEaJoqfnR3q3zwXDphDtOEk5LKlJYSq67G8noxdJ2i9naEZal7Kx4Ht1uNSY9EkMEg5s03n34ud6JjmeFw1zPFOzGqZ8GCBbz88sskEgl8Ph87d+5k06ZNZ7zdiXDBk+5kN8SUkW5X10ktoxDKMaxAHrbQdlOpFFJKTrz9NuKee6hoasK9YgXa4cPQ36/aNE1TRc22jTidIZlz+K8Jjwd7wQLsO+7AfeONiBdfxN61i/TQEKOWhSeRwCorwx2PkxoawggG0Rsbsa6++p0+8jPGdFuAQSmUZoN0t27dyk033cQll1yCYRhs2LCBz372s2e83YlwwZMunIHpzdKliH//d2QopJb/o6PIxYun3J+maUQiEV7buZPlTz5JyaFDaELA7t1K6aDrJ2U+qdRJLwfmutLmMDmkEMqmMRwmfdttaG438vrrEZdfjisapUcI5tfWYpgmsrmZ+Ac+QMzjobeqivTBg3i93lx312yYz5xrF6+Z5HRnc37b3Xffzd133z0r25oKFwXpTgSXy8Xo6OiEv7evvVaNMXnjDSQgr70WOYVZ8/DwMC0tLViWxVaXC7+USteb9SAVmYyKmFOp3IifuckSc5g2nK7GWAwOHCCzapVKfRUVkb7ySrz//M+IbG7X/OAHKbr5ZoqEYD4qFZBMJolGo0QBoDDdAAAgAElEQVSjUbq6ukilUrhcrjFE7Pf7z1tLxOmmF96J0fCzhYuCdE870vV4sP/7f8eOx5UKYZJ8WCwWo7m5Gdu2WbJkCb29vXgSCQDkypXw4ovKfARUYUPKk68d6LpSOUipWo/HQc41TfyXhwBIJNA6OvDddx+Zj38c88orsYBjl15KQkoCWQMbe906RNZTVtM0hBD4fD58Pt8Y85l0Ok00GiUWi9Hf308ikUDX9SnbbN8JYjOz5ulTwTm28/XhMRkuCtKdCFPaO4Ja+k8yYymZTHLkyBFisRiNjY2UlpaSSCTo7u5GrlihDEWiUeTatdDRgVy/HnHkCLS0qJbKTEYRsBCqPx6Ur+nIiIpqspKfOaqdQw5SIuJx9CNH0H78Y8y+PvYvX04oFKLh5pvVmCjbRkiJnVXFWJalIuIs+TpEDOB2uykrK6OsrCy3C9M0C7bZOi5goVAIn893zkfhmKaJbxrFwFgsdkF66cJFTrqT6nSnQCaToa2tjf7+furr61m5cmXuqZqLoMNhrLvuQnvmGYhEkLffjtyyBXHoEOKnP0V/7LGTcjEhcgoG6fUq8/PRUZX3Rc22snVdGZnE44hkcloeDXM54osXcnSU/mAQ+dRTLP3gBynK06TmR6W2bavBqXlfQRGxA4eMHRKdqM3WMSnv6+sjEokQj8fZt29fjohDoRBut/usRZgzsXU8pbX/AsFFQbqTeepOdyKwA9u2aW9vp7OzkwULFrBt27ZTnvZjtltRgT1OzydXrkSuWAF+P/pf/zUiFkO63cpIpKREEathKELOK7hZLheGy6VywdloReZFwYXOco5wLz44/9+jo6MYmka4ooLMJATj3J+TEbHzvUPEUkp0Xc99djRNO8UFzGmpr6+vJxaLMTIyQkdHB+l0GrfbPSZP7PP5ZoWIp5vTvVBtHeEiId2JMJM5aVJKurq6OHr0KNXV1Wzbtm3Cyuh428iCEALR1YX9iU+g7doFQ0PIgQGlbojF1Gsn92vbCI8HLZ1WBTmUz4MNaM6olayB9USDCedw8UAAthB4/X58kQjmTTflVkRjEI0qe1K/X1kx5pHeRETsfJ0oKs6Phm3bxjCMgiblqVQqlyfu7e1ldHQUXdfHEPFMpkU4mC7pXqhTI+AiId3JDDLsKTrBpJT09/fT0tJCSUkJmzdvnlYif1rISsfs7dsRL7+M6O+HdBoRjysryaEhVWzzeJSZjqO0sCyky4We98AQTl44W92ew8WF/AepFAIrHGZ00ya0W29Fv/TSU/5eHDuG8fd/D8kkwrKwtm/H+uhHxxDveDgEOJ4I80lYSpkj4Gg0ihAC0zRPyRN7PB48Hk/OjhEUYTpEnD8tIr9gN9Uwy+nqdC9UL124SEh3Iky13BkeHqa5uRmPx6OMzWe5m8e+7jr0hx+GkRHE4cPqh+XlyOFhlef1+dRXKZHpdO4DIwxjrPLBGXypaSflZ9mfzUW9Fz7GrJmyTTrpNWto//SnGRaC9Msv4/V6KSoqIhQKUVRURPChh9T9UFuLtCy0Z5/FXr8euXTpjPfvpBYcmKZJS0sL0WiUZcuWIYSYVsHOMIxTpkU4wyxjsdiYYZZ+v/+UPLHz9xfzqB64yEl3IsTjcQ4fPoxt2yzPVoVPB1O1SMrLL8cKhdC//OWcPR9dXSpqjcfVnKtgEAsQqRSaaSLcbmQopNz7QQ2/dIg2P2p3JDOndeRzOO+gaSfd7vx+jD/5E+qzraj5+ttIJEJnRweL9+8nM28eHinxeDx4bVspYs4QfX19tLS0UFdXlyNcB6dTsJtomGUikSAWizE0NER7ezuZTAaPx8Po6Cj9/f2EQiG8Xu+En6850n2HMRnxOU9pTdMKyr9OF07qYtKlkBDIhQvVB2l0FGKxU4xvRDSKoesqpUB2mRmPK3mZZSldr2meXHoydhk6R77Tw2xP65jNFYaAkyPVNQ1740bs973v5O8L6G+NK65AHj5M0ucjHYkQjURo7u7GfO21XEQ8k7xqKpWiqakJgEsuuQRPgUkRs1WwE0LkfHHnZb2rnbE9u3fvJh6Pc+LEiVOmCjuNHU5H6KJFi2Z8rc8HXBSkOxkMwyCZTNLZ2UlfXx9LliwZI/86Xei6Pj0HptZWxPHjpxDumA9tVlKGlJBOqzZQw1Cv89MJLhcinT753gmKeXMph1Mxm9fjTK9vwRFOmoYsLsbetAnzm98sXDjLg3n77RgPPIC/vR2/YWB96Uts2LaNTCaT60g7evQo8Xg858TnkHEwGMzdt04Bub29nYaGhpzT1nRxJgW7/PSEM7bHMAwW57XiO+cTi8U4duwYiUSCb3zjG6RSKUZGRqirq2Pt2rVjxnDNFMPDw3z6059m//79CCF4+OGHubRAHn22IKaowl8Qmn0pJel0+pSf27bNSy+9hG3bLFq0iJqamlkTe7/55pssW7YMf/649gIQTz+N/qUvIbq6FEnmRa254xdC2fQV6FSTQijTY11H6jpigrlrM8X5RsyzfTzTjWylpin1yCzuu9CxFFqp5P9ezptH6pFHYNs2sCxEf7/yBJnMulBK9TD3enONN4VgWVaOiCORCLFYDCklXq+XeDxOMBhk2bJlZ20mmIOJ0hP52LNnDxs3bpz0cxqNRvnCF75AQ0MDQ0NDJBIJHn/88dM+rttuu413vetdfPrTnyadTpNIJGYjdTHhLXVRRrpSSrq7u2lra0MIwapVq84olVAIuq5PTwPs95MpKUE/cQKhaeiWpQpgQqjpFZkMsqgIkcmgxWJjzwPQnIeiaeY0u7NBEOcT4cLkpHQmcLY34XYdL9pZ3u/4/TsoOKRU1xGJBO5vfxtZX68It6hI+enecgv2VVcV3rgQyg96Cui6PqYRwrZt2tra6O3tZd68eZimyb59+3IFLqdYl1/gmg1Mlp5IJpM0NzcTDoexLGvCiBggFAphmiZ/9Ed/RGNj4xkdUyQS4YUXXuDRRx8FVPfebJ5zIVwUpOukCvLlX8XFxWzevJnW1taz0kNuGMaYAkIhRAcGGH72WeYPDuK2bWX1KATS7UaWl6uJAD6fMqju7Dz1vMa/FgKzoQGjtfWU+WozJo3zVP2QG2Gvaeq4Zmj+7pxPbjsFfDnGvMoWQ8+Wz8BE19Y5NgwD/H5wudDa2+HNN6GkBLu+Hrl+PcaTT5Jetgyqq2fleIaHh2lqaqKyspKtW7eOiSillLmOtIGBAdra2shkMrkJvA4Rn6lzWT6EEPT29tLW1kZ9fT2VlZXTKtj19PTMSiGttbWViooKPvnJT7J37142btzId7/73TNKV0yFi4J04eSodY/Hw7p163LL/mn5L5wGJut2SyaTtLS04PvVr1h87BjumhpVFOvrU4oFTVN6XSGwt2zB/NCHcH31q0ronkzmtjN+WYoQanJxe7sazZKHHMkwTRKdZgHuHSFlTVOTlgcHEQMDM3pr7lgNQ5Gpy4XIGhPl/41zrexMBmkY6JnMtM51/N/MuEAnhEob+P3IWEwNLg0EIJlEFhcjhobUyqevDxmNqrcMDqpJ1GcARwYWj8dZs2ZNwbSYECKnqa3O7s+JQiORCCMjIxw/fpxUKoXH4xlDxKfTkZZKpTh48CAul4tNmzbhyqZIJssTJ5NJ/u7v/o7jx48XLPbNFKZpsnv3bu6//362bt3KnXfeyT333MNf/uVfnvG2J8JFQbpSSjo7OwuOWj8T/4XJ4BTSGBxEHDwIQpBZvpy2gQH6+vpoaGigKpVC8/lUB5rT2CAlpFLKrKS6Gm3vXpVmKKBNHL8slaaJ8ctfnrSMzIPU9Vx321TkMeXvNU2Zr+c9AM4ZXC51DuvXI/v60H/3u4LnOxEkgMejzi+TOZkLHzeXzjl/3TRzqoEJC53kRccOEYw/pjwlyYTHBbn92OXlsHCh0m8nk1BWdvI+sG21n9FR5a+b14BwOujt7eXIkSMsXLjwFBnYVMhXTszLm5KdSqWIRCJEo1FOnDhBIpHIWUg6ZOwoDU65Ftn037Fjx2hsbBzTYDERNE1jz5493HnnnVx//fW0tbXlSPpMUFtbS21tLVu3bgXgpptu4p577jnj7U6Gi4J0nbxtoSWiy+UqWGQ7UxiGgezuRv+nf4KRERKJBMOGge8rX8n5NUiPB5qbkdEoor9fjVkB9YGVUkVgfj8MDqrKdUfHyQ+EEKeMbxeATKdV80Teh146N5+uY1dWqmWqEIo4nGui64rMCiy1T0lj2DYy+6A651FuJoMsLUW8/TZiZARpWYULTy7XyZlhoMgqW6SUqRQEg4pMnWvocilD+QIQWWImnT6Zbx93nXIrDsvCdrtVJO3xYC9erFYofX25v5Oapq6h81oIlUoqKUFWVanOxIoKtIEBZHW1KrImEmBZ2Js2KbVL1o/Z+sxnlF/zaSCZTNLU1ISu62zcuHFWc5Uej4eKiooxaodMJpMj4ra2tpxyIp+IdV2nqakJn8/H5s2bp9UIkUql+M53vsNzzz3HQw89xNq1a2ftPKqqqqirq6OpqYlly5axc+dOVmYnIZ8tXBSkC5N76jrtiLMJXddxP/ssyZER+gwDf1UV1fE4NDdjr12LPHQI7ZVXkCdOoJ04oT7Q+RFGJgP9/aDraIODJMvKkOEwPttWpArIbIvnmPPMZE5p9RS2ndP5ar29OTlZjuSzRCIKpBTGF5lyVzBLduc6vSB1HWFZ2BUVUFqKGB5W88CEyOVnJWCXlqIBsqdHPaAcXSiov00kkKWlEAggursLkndun4ah3uPxIPOM56WU6jpk9w2oopeUmMEgmVCIaHExiaVLCe/bR/jIkZxXBmSvm5M7LyvD/sAHoLwc8a//itbejqyoUKoVIZBlZVg7diB6e2HLFqxrrlHdZVOoYwqej5R0dHTQ2dlJY2PjGEvHswmXyzWhhWQkEuHQoUNEo1G8Xi8ej4euri7VXTdJa/Cbb77JnXfeyY033sgLL7wwK9HteNx///38wR/8Ael0miVLlvDII4/M+j7ycdGQ7kQ4Haex6SCdTmN2dKBlMlTX1ambxjSxo1Hs5mZc/+N/ILq6ENEoct48RG8vMpVSo3yyrZREo9ihEAmPB39LCzQ0QG0tHD+ufBgcPwbngZKNoMZEYdkIFlAEkZ9KyRrlkI34JpIr5WM8+c6EcE+XoHMRocuVW16LWAxZWYkIh1XUnV0d2C4Xmf/9vxGlpYgHH0REo4jx6gPDUAXKRAKKi7EvvRTtrbeQIyM5QsydnxDqOluWKnQ677MspZ0tKlJWmx4PjI4qSZ+mYVRUYK1YgZXJMG/fPtyRyJht5yJct1ulk/r70X/1K2RxMbK2FtHaqvaXTCoFRXU19gc+gFy+/DSu4EnEYjEOHjxIOBxm8+bN53SSbyEYhoHb7aavr49wOMzGjRsRQuSIuLu7m2g0im3bBAIBQqEQR48epb6+nocffphdu3bx6KOPsnr16rN2jOvXr+f1118/a9sfj4uGdCfKU83EaWw6SCaTHD58mFgsxryNGyl/7jkVxSaTyHgcc9UqjO99L9f2KwxDLRWLilTEk0yC241Mp0kFAuDz4SsrQ+vtVYWTUEgZoweDKsLLZBSZGAb4fMiRkZP5YYdwndeFKv3Zpa2QUhF4HmHPtmXk6RblnJ8Jy1KqjNFRePtttOZmNVZcSsyiIli6FP78z5Fr1uD63OfQjh1TedB0OqdvFkKcJOlsnttZxhMOI3t61CglIdRyvqxMvae4GHHsmLpG+SmJ8nL1f5tK5VYQMhQimckQGxkheP31eNvbEYaB8HrVfrO5cCd/LzWN0XAYLZ1G6+4mXV6Ou6wMPTvqSVZVgct1RsUyy7I4evQoAwMDLF++/LzwmpVS0t7eTnd3N8uXLx+jNhjfGmzbNolEgmg0yhNPPMGLL75IKpVi69atPPvss2eVdM81LhrSnQizFemapklrayv9/f00Njai6zonwmHs+fMRv/41UgjM229HLl2qRmIvXYr2+9+f/ABnP9ik0yQ9Hoy+PjXFtbRU/U04rCLZ/n7lvTsyonKAXq9yI0unVeS1bRuip0ctnw1D5RPdbhXhFjpPTVMkoOuKREyzYEHpbGMiwpV+vyJZx+LS+UUyiTRNFb17PLjTaWzbJr1oEaK3F/H22xCLqbRCfgrGmTHmFKMyGUVqIyOIoSGsW29VRN3Vhf6LXyAGB0+2XHs8KreadXQTlqWufWXlyf8DKbHjcdxA0ec/j3C5kD6fcvvKywXn64PxePCWlSGDQexYjExlJUlNI1FSgicaBSlJ3nILfl3Hn21ZnwmGhoZoamqiurqaTZs2nfNpD4XgRNyOc99UEbemaRiGwQMPPMDRo0d5+umnWbFiBW1tbbS3t5+joz43uOhJ90wlY7Zt09HRwfHjx8eYmkciETKmSebqq5FXXXVSxC2lio4SCeytW9Feegn6+rBWr8bq7mY0GCQYjSIaGxHJJAwMIOfNQzY2orW1qTykpqnBhKOjsHixKsycOAGlpciaGqz3vQ/q6pANDbjuvBNx9KgijkhkzLFLstGjrqv0hKMJ1nVF5un0tAtmZ5LbnaimL0FFeInEqcU8yHlOiOyDQhw7huurX8WurUV0do6J7E85PsNQD5yeHnWds9Gv9sor2Ndcg/7cc+rhEwggMhnE8LAiT2eSs/NwisWQFRWI0VHSWVWEbhjqevt8aM88o4qkg4PqfDIZtboxDOzKSsTgIHZ5OSKbGtLdbkLz54PbTfCP/5h0YyPRRIJEJEJPtvjk+NI6xaeJ/BMymQzNzc2kUinWrVs36y55pwPbtjl27Bh9fX0zirhfe+01vvjFL/Kxj32M5557Lpfjra+vp76+/mwe8jnHRUO6E6UXpt05Ng5SypzjUkVFBVu3bs3dCFJK3G43iUSCV199lWAwSDgczhUFzM9/HuO++5DJJNZll9G/aRPHDYOSxYupCYeRzzyD2L1bEWs4jJw/H6TECgZVpToYRLz8MlprK7K7W2lVS0rUNAqXC9nQgH3jjepY5s+HgQFVuY/FChudu92KJHQdGQgg581T+2prwyjUesypBDuZyL9gBJv380nJeiJnLCd/DYoAXS60wUHE736HKCkp2DThqAbQddU+63IpbbQQsGiRStcMDyNeew2iUZV2caRitq1WBI7iwSmeud2Y8TgS9WHRHCtOwPXggyAE9oYN6M8/n5P95bwzKivVdQiFlELBNLHXr4fBQZV3rq3F5fVS6vWO6Zh0fGkjkQjHjh0jFouNUQGEQiHi8TjHjh1j8eLFzJs377wY0BiNRjl48CDl5eXTjrhHR0f51re+xWuvvcYPfvADVqxYcQ6O9J3FRUO6E+F0bsaRkRGamprw+/1ccskluZ50pzvGcRfbvHkztm3nRpm0t7fnPiBFf/iHeBIJehMJwtXVLKuvV5VX00S++KIS7ff3KwOb1asRR4+itbVhLVumSLK6GlvTEKOjaqlcWopcvBhME+3IERzKsdesQR8chPZ2JbrPLoGFQyDhsCIhwyD9p3+K/sQTmH19JMNhguGwykdni1S5a8YE+d5JpFT5mHZUnF0ZFIyEx5Oqk5dPJNDS6cLbz8rkMAxkWZki4JERdf7xOLKxEYqLsRYsQHvttZP5W8erOBxW+fds6kb6/diZDJl58/Bmi3y2piE6OlQutqQEsWcP2uCg2oeuI+vqFMEmk4j+fuz586GmBvvd70Z75hm0V16BAwewPvjBk9dz3D1ayJfWUQEMDAzQ2tqKbdt4vV4GBwcxTTNHxu9EasG2bVpbWxkaGmLlypUEJxn0mo9XXnmFL3/5y3z84x/nt7/97bTkYxcDLpqznI0n/ejoKIcPHyaTybBixYqcz24+2Tr7cvan6zrhcHjMvKZIJEJTUxODloU3HGZoaIi9e/dSVFRERXMzZa+8gly4EO3wYSXkb21FbtiAPTiIaGpSmt2VK7G+9jX0n/4U7Te/QS5ZoggiGkWuW6d2ZFmKjHp7c8Qpq6uVNaRpKvlVJqMIp6SEE7qO3++nRErCra2qMFdXB83Nk3ZZFWoUmI24qtC4+YlSEbmoWdOQWXncKcfg5MAzGfD5sIVABIOKUIVQP89k0JubsbdsUTn37LQOGQgglyxBdHYiTRM7q6PWXS78fX2Yt9yCvW4dxo9+hKytRWb1tCIaVRGyz6ciWNvGnj8f6yMfQW7ahLZ7N+L11xFvvKFy8V4vaBr6z36G9uab2FdeifnZzyIXLZr0Wum6TiQSoa+vj9WrV1NaWjrGyKajo4NY1rvDcRRzVl5nU8EwMjLCoUOHmDdv3pRGNQ5GR0f55je/ye7du3niiSdYtmzZWTu+8xEXDelOhckMxzOZDK2trQwODo7pkJmMbCfbzsjICA0NDWOWjOl0mkgkgtndzcjoKPETJ6gcHUX4fOiDg0jbxmhowPzsZ6G6GjlvHrhcKkL65S/RX34ZAGvzZqzrr1fHs28f2okT2Dt2IN58E+3AAUQ0it3QgObInlIpJbUaGaHqu9/F5fdDVZWSZ/X2qsJRoQjW7VYk7zQccJLwyMreJsKZEPJERA9KgiWzHsP5RSuEAL8fe8sWFQnv3asIMJNRxuDFxTA4iLZnD9ZVV6nj37wZOxRCe/11VWwLBGBoiIxtIzQNwzRVe65h5HTC9g03YIbDGD/8oXpY9ver49I01XVoGMj6euTGjWjNzZjr16P98IdoLS0qJ50t1snsPSSGhyGdxrjvPjLf+IZSrBRANBrl0KFDpxSlxhvZgFIxOHKszs5OotlWYseP1mnbPVMitiyLI0eOEIlEWL169bS9Cl566SX+7M/+jE984hP8zd/8zTsuaXsncNGQ7mRk6JjTjF++5E/+XbhwIUuXLs01WeQbbkxFtk6xbfx28uF2uykvL0ds2YLx0kuU1tRgr12LeP110mVlxPfsYWj5cgZ1nXAmQ1EkQpHbjf+HP0RecQWWaeaWvqRSEAopfWo2J6klEsgFCxBDQ5BMYl1/Pdq//zvSsrACAfRFi3AfOaJUARUVSjsaiUAkcrKJwuVSDRlkicRZ0jvnIuXJduUp2l5nihzJ5vsIZ9UHDkRW5iUNg3RNDUZvL5bXi5bJqPft3avOxbJUisZxcss2iki/X6kVEgmkz4dcsQI7lUI0NZFesIBkby/+SATDthGZjJLnuVzKByLbzWW/+91Y7e3oL72kpjl7vdDYCEeOqCLa0JCadzc4iPvrX1dabSdPbNs5zw3pdquOxZIS6OhQXgvjSNeyLFpbWxkeHp72hJNCKy8nBRaJROjq6iIWi2Hb9hiP3VAoNO3lvaOWqKmpobGxcVqrTMcH96233uLJJ59k6WmMFbpYcNGQ7mRw/BfyC2E9PT20trbm3Jbyf+fMgcq3kysEp9jmbGfLli1TPrnlmjVYN9yA/vTTaD4f8iMfwdiyhfD8+QTXr6c8GxH39/fT3t7Oou5upK6rQYDBIN5kUhXMystV/lAIOHZMFW9ME3vdOqy6OgbSafx1dQRsG6OkRJFVKKQislhMqSFSKZWHdLmUbCsr/Jc+n9Ky5kWSwjCU0iEYVJFjb696/zhPg1PON+/7ifK/GIZqkzUM5UHQ2aly0+Pfky0S2itXom/fDrt2YRw5kpN8yeFhsCwyXi+jbje+aBQMA6O3VxUcPR7k8uWIzk6Ix9F+/WtkNMrgqlX0bN3KsgcfVP/fZWXQ16cePhUVKj+ejRgxDKzbbsO68Ub0738f4yc/UZ62yaTK43Z0oD39tLo2paVKk+31qoaLrJG9zLb4UlamiNq2VaSdh4GBAZqbm6mpqWHTpk1nlD7TNK2gLjYejxOJRDhx4gTNzc25BoX8WWz5ROyY5iQSiWmrJaSUuej2k5/8JPfee+9/yeg2H/9lSNdRMDjWdsFgkI0bN+acimaaSohEIjQ3N+P1elm/fv30DaCFwP7gB7G3b1ckFwjkIkkB+LMjr6uqqqC+HmPnTsxYjFFNY/TECaLxOC1tbfjjcYqKiij9gz+g+K//WnW+LVnC8IIFJDs78WzahN/jQXvmmZzJily8GLuoSOlcHT1qMJhbXttVVQhHy+t00zk+AplMrtIvTVNFcw5hDw0VzM+C8jWws91c453Ncu8wDPV7j0cpOmpq1EPBmY6cB+n1KiWCy4W86ir1nrIyRDSKtn8/Ughco6MYySRWIIDpckEmQzISIbF8OSKTIZC9J9K1tQx6PJTF46z8h39QqwSnsOVch3RajTfPixwRAoqKsC+7DH72s9xUZ+E8rHt6kMGgujZuNyKZVN9no21ZVYVIJBBNTWiJhEopZcfwpNNpDh8+jGmaM7uvZoh8NURNTQ1wkoij0WjOJMfx2DUMg4GBgRmZ5sTjce6++24OHDjAT37yExoaGs7KuVxo0L/+9a9P9vtJf3k+QQgxob/t4OAgmqZx5MgRBgYGWLFiBbW1tcq0Jm+mU350O9FNlUwmOXToEL29vSxdujS3nRnDME4ugSeCpiFXrsS1bx+ewUF8xcV4vvIVqrIfxlQqRY+uc3TpUrTubuKpFCIapSSZxLtiBfaOHcomsLcXWVmJ/eEPY371q8i6OrQ33kD4/aqQlsmoho7qaqybb0Y4XW8O8UiZIze5YIEaIV9Vhb12LVRUqGiwt7fgBAbpOJ/Nm6eiSGd7kPO9xTRzy3dhGMjKShXFW5YiLMNQqQavF9xu7MZG9bqnB1lSguZ2K/NvJ10SiyGyZiti82bkpz+NJ5XCM38+eiRCKpUi1t/PcFkZhtdLoLkZo7tbLfeTSSWhsyykx4O9Zo3K065adbKACTA6iuuhh1Rqp6dH5X3DYTUTz+NBlperxolQSJF5NKrUFdXVyNra3CrDbmhADA9jr1tHdzzOwYMHqa2tpd5Ru5xDCCFylo3l5eXU1NRQWVlJX18fsViM4uJihoeHOX78OIODgyQSCWzbxuVyjYlepZTs2rWLW2+9lR07dnDfffdNy0nsIsPdE/3iohjX4yCdlZ8nF5sAACAASURBVEuN/9kbb7yBaZqsXLkyZ8Yx08jWabPs6+ujvr5e5WfPlTbSaeHNVr7zkUgkOHz4MK5IhNrjx/E99RRmMknK60VPp4lddx1i+3bCoRC+khJ1zP39uO+6S3VptberyMztVoYso6Mq+h4ZUeYsb72FdvAg9pYtqvAzPAymiXXttWjd3cpH4OBBtBdfVMSSnwsmm6vVddWN53Kp1EgioSLj8Y5nRUUqDeByKcXFkiVK2iWEaqedN08NbbzuOkRHhzL6XrYM19/9nZLLZTJo//ZvUFOjFAbFxYieHqyPfESRXGcn/ZbF8bVrWfP007gXLMAUAu0Xv0B3UjSpFHrWlc4uKVGTGZYvJ/3QQypdkIVobsb427+FujrESy+hHTmilCWNjeo6hMMqgjVNdQ0PH85dv9wonspK7KuuwurooHX1akavuYaGhoZzTrYTwdGpL1q0iKqqqjHDAhKJBJFIJOcqlslk2LdvHy0tLXR0dDAwMMCjjz560TU2zAATksNFm15wOmO6uroIBoOUl5dTVlY24yJZ/uC+2tpatmzZcu61kNnqfD5M06StrY2hoSEaGxspKSlB7N+P6/nnVbQFWKOjBF96iWNXX03v8eMkmppwu90UBYPUNjQQPHwYsXo1eiIBCxeqTjoh4PhxrFtuQXv1VeQVV6hINptbllVVyHe/G3HokJJCnTihPAscrW/WDDwXKYPKBScSym7RtscqD/Khaeo9brcqgDkeCcmkeu3xYF15Jfa11465HpkvfAH96adV99iiRWjxOLS2ovX3q+NxuUh5vRy88kpC27ezurYWPRSCH/8YIx5HGxpSXWm2jQwGEdEoZkkJqbo6ojU1EI9zfM8efAsX5nKj3qzvL1IiFy9WTSzDw8pbGbADAewNG5BLl2JEo8qwfGgIkY3EsSzMD3yAkXiczOAglVVV+M+TxoB0Ok1TUxNSyoKTgfOn+Tpm57Zt09XVxb/8y7/g9/txu93ceOON/OM//iPbtm07K8d577338uCDDyKEYM2aNTzyyCN0d3dzyy23MDg4yCWXXMLjjz9+1sfvzBQXFek649ZPnDhBa2sr1dXVbNu2je7ubkzTnFGRDFRawhn9k+9s/04i/yGwYMECGhoaTj40bDsnRwLQ3W50w2DxokW5CNkxn+66/nr0X/8a79tvUxoOk66vx5NM4tF1dMB+17uwt29H/8lP0H/9axVphkIIXUfs26cKP1mNMYkEIp1WjQNOUc0wlMlPNicqenpUlOzkOvM60SSodIGmKVvHBQvA68XOZFTaImv2w4kTGD/9KXL3bqzbb8fevFm9f9UqzFWrwLZxX3ON8mzIuntJIRjUNEyvlzW7d2N/8pMqr/6+9yHnz8f1zW8qWd4bb6g89ugoMhRCq6rCO28entWr4fhxvIsWMRIIMLp3L8NdXcR9PqoqKijZtw/D78dTXa2mT1RWqmg3EMD4/vfJ3HMPsqwMvalJHU9DA/LECeTQEJE330SfP59wXR3m1Vef/ZtnGnAKzEuWLBljWj4ZotEoX/va12htbeUHP/gBi7Ka44mGT84GOjs7ue+++zhw4AA+n4+bb76ZJ598kv/4j//gT//0T7nlllu44447eOihh/jc5z53Vo7hdHFRke7g4CBNTU2EQiE2b96ce8IZhkEkEiGdTufytZNFt/F4nObmZjRNY/Xq1VNO/D1XGB4e5vDhwxM+BOSSJUqC1NWlPAUGBrB27BiTkhhjPr1ypWo0+N730F96iXRfH8lEghNXXMFoczM1v/89lf/0TyridApBuq6i3quuUlX4V19FjIwox7SSEtxCIGOxXI5VFherHHBxscrdWpbKMZeVqRRGtqGDcFgpGEpLVaNCfT36U0+pgxZCLdlDIZX6KClBf/hh7IULcwWo3DVYuBCKixHt7ZiGQdrvxx8I4K2thY4ORQJO/rG0VB1XbS12WRna888rOZnfr9IbXi8cPIhsbMRTV0fVf/yHiqizsrTEddcRv+wyUh0dxP//9s47PKoy/d/3mUxIBhISQgLEFJKQHmoKYAFpiuXrojQRVlgQsCwCAv5oFnARgQUVQcSKCFJWsYAKKCLICgmhRBeEFAiQSnqfJFPe3x8n5zihmUC6c1/XXFemnndOzjznOU/5PHo97Q4exOzpKVea2Nlhn50NJSWYhg7F5sMP0VRWYi4sRO/gQLm7O629vdEOHoyxf/+bFiqvKyoqKjh79iw2NjY1djCEEBw8eJD58+fz9NNP884771RzZCRJqtdKBaPRiF6vx9bWlrKyMtzd3dm/fz9btmwB5Cm/ixYtshrd+kSv1xMWFqa2ISpnWkdHR7Kysjh+/DiSJKmXiE5OTrRu3Vo1wJWVlZw/f57i4mICAgLqZPBdXaBMSjUajYSFhV2/EN3BAcOcOdjs2iUb3EGD5CqJGyDZ2CA99RSaqChss7MR3t44BAdj2L4d3fr1iLIy9La2GFq1olVWFsJsxrZKPMbo5UVRaSnt8/PRurmh0elkIxoSgnHSJCgrk5W8zpwBJydZOa2qNlVUJRKlKo1a4yOPYJw9Gyk3F2EwYLt0KcLHBykpSRbqSU2VmzpcXOT7IMdGLY2uRoM5IgLj0aPkhoTgWlGBTqPB7OwMly5hjoz8w+CCHFeVJDmO7eKC+c47kc6exTR0KJoff0QTHy+fAAIDZS/7u+/kJJhWCwYDrXfvxnblSrkCJDcX2/h4DG3aUCFJVGRnU6LXE3/qFDpHRzwfeoi2335LkYMDrW+7DefiYkyTJmGqp0vvmiKEIDMzkwsXLuDv719tEsSNKC4u5oUXXuDSpUvs3LmTzlUhrYbCw8ODOXPm4O3tjU6n49577yUiIgJnZ2c1se3p6UnaNQa+NjYtyuh6enqq4QPLJJmdnR1hYWGAnBBThuydO3eO0tJS9ayu1+tvao5UfWGZvPP3969ZBtjVFdPEibXbkFaLuWpGFIB2xw7sfvxRLh9zdKRVZqYsS2gyUa7TkRMUhIiNxSxJ2Nnbk//UUzj/978IJyfZG9XpED16yKVcWVlofv8dsrIw+/vLhvb4cdlQ+fpCYSHmnj1lpTST6Y/xNZKECAqSmzhSU+WuOjc32egpY3UsElsgdwSe7d0bx/R0PLOzsenfXx6tgxwuMY0aVf17OzhgmjgRm48+ku8LgfGVV+QYtZeXXBImBNLFi9js3y83oiiVKoonWBWrpn17TP/4B7YbN9KqqAgkCcOMGfSJiKCoqIiEkhJc09JwiY+n4tIlkvv1w9ihA23z8nB0dGyU0FV5eTlnzpzBzs6uVt7tgQMHWLBgAdOmTePdd99tFL2H/Px8vv76a5KTk3F2dmbUqFHs3r37qtc1hd/xlbQoo2tpbK+XJLOxsVHFRIQQaj2i4vnm5OSQlpZG69at1ceuLBJviO9x+fJlkpOT8fDwaPDknSY6Wi0l0yQmytMTDAYkX1/yZ88mycaGLno9rm3aUOziQoG9Pfnu7tgdO4ZZp0P/wAPogLYGA62nTsU0cCDaDz9EU1iIsLXFOGwYNrt3Q0kJ5qAguQ62ytACcujByUmWvezZU26J7tFDTqalpcnGccwY6NRJ3V8ZGRmkJCQQUF5O+/vvRwQEYLyW1yYEUmKi3AHm4oI5MhKzn5/sYbu4gKsr2piYP1pylSRmRYW8pqwsuakhK0tel4XhN/fuLbdm798PrVuj3bCBtLIyztna4h8YiNudd6rDJm2rTv7Z2dnV6mGVq7D6POaUQa6pqam1GudTVFTECy+8QFpaGrt27cLb27te1lcT9u3bh6+vr+qZDx8+nMOHD1NQUIDRaESr1ZKamsptt93WaGu8Hi3K6C5YsAAHBwciIyOJiIi4YdtkYWEhiYmJtG7dulqTBMgHpV6vp7CwsNqPwlLCsb4UnYqKikhISKBNmzZ1Pkywpog2beQW4+BgzDodxMejHzKE3wYMwL5DByIsypraVt2YPBkmT8ZgMKiyhEr3UqtWrWg7aRLONjY4dOwoF/y3a4d07pwce05JkTWClUYAOzuMM2Zg8+GHSCkpCC8vjE88AW3bysbRwUE1diUlJXKzi0bD7QcOYJOaKsdc7e0xzpmDuMIwaPbsweaLL1QJR/P992MaPlw29FWYAwLQ/vab7LkLIZe5hYRgeOghtB9/LK/Jzw/jhAnVpjhLSUmyilhICJVGI/kXL6LbvJmodev+MKBVoZE2UC37L4RQO8QsGxOUDjHlmLtVQ6zX6/n9999xcHCo8TgfIQT79+9n4cKFzJgxg4kTJza6ULq3tzfR0dGUlZWh0+n48ccfiYyMZODAgXz++eeMGTOGjRs3MmzYsEZd57VoUXW68fHxREdHExMTw4kTJ6isrKRr165EREQQFRVFWFgYFy5c4NKlS7Rr147AwMAay9BZ9q8XFhZSUlKixocVQ2wZH64tlZWVJCUlodfrCQwMrFGffX0hnT6N7Zo18pWD0Uhe27YkjhhBYPfuNzUGprKyksLCQrWus7y8nNaShPvp0ziUlGDXrRs2AwZcVYMMXFP6EP7QJcjPzycoKIh2cXHYbNokhyxA1tH18cE4c+Yfbyouxvb552UPuap1WEpLo3LJErD0ig0GbDZvRlMlMmQeOFAOTfyJgZJOnkS7fj35VXq3ru3bY5+djWHduj9977VQRtgo+62oqKiaZkJtxGuEEKSkpJCenn7V6JwbUVhYyIIFC8jKymL9+vV4eXnV+nvUFy+//DLbt29Hq9XSq1cvPvjgA9LS0tSSsV69erF58+arSt4aiOsaghZldK+kvLycuLg4oqOjOXz4MAcPHsTW1pYHHniAO++8k8jISDp37nzTZ22j0aj+GAqrxrDb2dlVM8R/9g83m82kpKSQkZGBr68vHTp0aBpxqJQU8mNiyCgooN3gwXTy8amzdQkhqKioqGaIKysrr7q8vl6MUbn68PDwwNPTUy7/++YbtN9+K8d8Qa7ZtbfH+PLLf7wxKwvbl14CS8ORmopxwQI5nHIligJbDScyFCUkYF6wANsOHXByd5erPPz9Mc6aVf2FiiTnTbT4WmomKI0JQogbyjmWVnW6OTk54efnV2Mj/cMPP/DSSy8xa9Ysxo8f3+jebTPjr2l0FYQQ3HfffQwfPpyHH36YkydPEh0dTWxsLBcvXsTT05OoqCgiIiKIjIyUGw1u0sBYGpPCwkLVmChG2DJWpxiPjh074u3t3WSEQEpjYyn44gvsWrem3ejR2DSA3umVXU5FRUXVLq+dnJywtbUlKSkJjUZDYGBgtROalJSE7fLlCFdXubwtLQ3j8OFyI4WC0Yj21VeRsrPlRpC8PLni4+WX5XjxTaIIwZSWlhJmNOK4bZtcchYYiHHyZFkgqApNdDQ2mzfL9cuhoXLY5BavaiyvwoqKiigpKVENscFgoKysjJCQkGqi6DeioKCA+fPnk5eXx/r161VtBiu14q9tdOH6erpms5kLFy4QExNDTEwMx44do7i4mJCQENUI9+jR46aFRyyNiWKMjUYjRqMROzs7unTpgouLS5PwIgwGA6l79+K6YQMOnTrRqqot1jh3rjy1ooFRvLrCwkLS0tIoKSnB3t4eZ2fnauORlH0nHT+OzY4dSBUVmO66C/NDD1WLuQKQm4t282ZZON7LC+Pjj99SjawSf+3cuTPu7u5/dNsZDKqehIJ08SK2r74qJ+Ds7CAlBXOvXpieeuqmt389CgsLOX36NDqdjlatWqkC54p62JX7DuRjde/evSxatIg5c+bw97//vUkcl80Uq9GtDUofuWKIf/vtN7RaLeHh4YSHhxMZGalOBK7t5yoi5x4eHpjNZjU+bGNjU61+WKfTNViYQclmp6Sk0P3nn3HKyEBSYpwZGZj79sX09783yFquRFGFc3Nzw8fHByHEVbF1S+lCZZBjfe87pZlAo9EQFBRUo4Sn5vBhbDZuBCW5ZzDIwumrV9fZusxmM8nJyaqwk2VuwFLgXPGIJUniyJEjlJeXc/LkSYQQvPvuu00y69/MsBrdW0EIQXFxMceOHSMmJoajR4+SlJREhw4dVG84MjLyugMCLY1aNY/IAiXrr3jDSnxY8eicnJzqpZJBmQfn7OyMn58fdh99hOb0abXTS0pPx3TXXZgee6zOt30jKisr1Um3wcHBN+wKtIytK/tOq9VWM8R1dRKzLLeqce10FdL//oft6tXyaB5Jkkvi2rfHuHDhLa8L5MqXM2fO0KFDhxrnKoxGI++//z6ff/45Wq1WPe4+++yzegsrFBQUMHnyZE6dOoUkSXz00UcEBQXx6KOPcuHCBXx8fPjPf/5T43BIE8VqdOsaRQNB8YaPHj1KTk4OAQEBaslaeHg4Bw4cwN7eHm9vb3x9fWtV8lNeXl4tLFFZWUmbNm2qxYdvNg5sWS0RFBSkVnFISUnYrlwp6yNUaTkY5869dqKpHrDUlvDz87vpxKIyHkm56fV6NcmpnMRqm9UuKSnh7NmztG3bli5dutR+35vN2GzYgCYmRm6ptrfHOGvWVWVttcVywkRoaGiNR+fk5eUxd+5c9Ho9b7/9tlq+VlxcTOvWrestxzBhwgT69evH5MmTqayspKysjKVLl+Li4sK8efNYtmwZ+fn5LF++vF6230BYjW5DYDKZOHPmDDExMezfv5+9e/eq49ujoqKIjIwkJCTkpmstLWs5CwsL1cy1EqdzcnKiTZs2fzrtIjU1ldTU1OsaNen8eXloo0aDuV+/BjO4ilFzdHSkS5cudd4coJzElFtFRQU6na5atcm1KiYsL9mDg4NvqmzO4sPk7ju9Xq60sBRHvwkKCgo4e/Yst912G17KJJE/QQjBt99+y7/+9S8WLFjAmDFjGiyUVVRURI8ePTh//ny1bQYFBXHgwAHc3d3JyMhgwIABxMfHN8ia6gmr0W1IKioqePDBB5k3bx533HEHx48f5+jRo8TExHD27FmcnJzU2uHIyEg8PDxuOmGhxOkUb1iJD1uGJezt7ZEkSRXMcXFxwdfXt8lUS1h6akFBQbdm1GqB0gRjeTWhdIYp+08ZwNipUye8vLyaTGLJZDKRlJRESUkJISEhNRZlys3N5fnnn8doNPL222/XWEmsroiLi2Pq1KmEhoby66+/EhERwerVq/Hw8KCgoEB9Xbt27cjPz2/QtdUxVqPbVBBCkJOTUy0skZaWho+PjxobDg8Px8nJ6aa9D4PBUM2QlJWVYTQasbGxoXPnznTo0KHJaIwq2X9PT0+15rYxUa4m8vLySE1NpaKiolpsvT67EWtKXl4eCQkJeHp64uHhUWPvdufOnSxdupSFCxfy6KOPNsq+PnbsGH379uWXX36hT58+zJgxg7Zt27JmzRqr0a3CanQbALPZTFJSkmqEjx8/TllZGWFhYaoh7tq1a61jkErjRXp6Ol5eXmi1WjVZZzQaq9XA1sVY7tqg1+uJj49Hq9USEBDQWF1DV6HocZw/f16dmKBUTFheTUiSVK386s/COnWB0WgkISGBiooKQkJCalzGmJOTw+zZs5EkibVr19LhCjnMhiQzM5O+ffty4cIFAA4dOsSyZctISkqyhheqsBrdRqKyspK4uDjVEJ86dQp7e3t69eqlGmI/P7/r/tDz8vJITEzE1dUVHx+fqwyq4tEphqS4atrtlfHhuvaGlIkely9fJjAwEJcrlMIaE2X+na2tLQEBATe8GlDU6pRbaWlptbK/W20Lv5KcnBwSExOvW/1yLYQQfPXVVyxbtowXX3yRUaNGNfqVBEC/fv344IMPCAoKYtGiRZSWlgLQvn17NZGWl5fHihUrGnmlt4TV6DZ3hBAUFBQQGxtLTEwMsbGxnD9/Hg8PD8LDw9WOuuLiYo4fP05AQABBQUE1GpOtYDKZqpWtlZaWotVqq8WH7ezsbvqHm5+fT0JCQq1KmhoCS12CWzkRKGEdy9K1Vq1aXdUWXpv9ZzAYiI+Px2QyERwcXOMrgqysLGbPno2trS1r1qypsU5uQxAXF6dWLvj5+bFhwwbMZjOjR49WJ6J89tlnTeqEfBNYjW5LRAkfREdHc+TIEXbu3ElpaSl33XUXUVFRREVF0aNHj1uqUVVKrxRDXF5eXqOM/5WfkZiYSGVlJcHBwbU6EdQ3xcXFnD17lnbt2tVLclEZj6Tsw4qKCuzt7avtv+t51Eq8uzalc0IIvvjiC1asWMGiRYsYPnx4k/Bu6wOTydRkksHXwGp0WzqzZs3Czc2N6dOnk5SUpGpLxMXFIUkSPXv2VBs5goKCbvpgFUJQXl5eTV9Ckb20jA9rNJpqTSG3UnNbH1hWTAQHBzeYqpuy/yxPZAaDoZqEo729PUlJSUiSVONuN5Dnm82ePRudTsfq1atb9NhzS4N7+vRpdUhBE+KvYXT37NnDjBkzMJlMTJ48mXnz5jX2khqM62lLKEmg48ePq2GJhIQE2rdvT0REBBEREfTu3bvaiO3aYqmRoMSHzWYzlZWVas1t27Ztm4zBVbL/taltrU8UfY7CwkIyMjIoKCjAzs4OZ2fnGkk4ms1mduzYwcqVK3nllVd4+OGHG/07NQSZmZlMmzaNgoICvvjiiwYrNawhLd/omkwmAgMD+eGHH1TVsK1btxIaGtrYS2tyKHOxjh49qnrEmZmZ+Pv7q/XDvXr1wsHBodY/XqPRyLlz51R9CSXOWVpaelV882ZFhG4WJcxhMBgIDg5u8O3fCMskXmBgIDY2NtV0Eq5MdGq1WrWsatasWTg6OvLmm2/WeApEc8TSsdDr9YwaNYohQ4Yw01IzuenQ8o3ukSNHWLRoEXv37gXgtddeA2D+/PmNuaxmg8lkIiEhgejoaI4ePcrJkyeprKykW7duqiEODQ29bvzWstTKy8vrmvWjlmLmSnyzIcYiWQ5fbGphDsu258DAwBsaTSXRWVRUxK5du1i/fj0FBQXccccdjB49miFDhqitvPWFyWRSG3q++eYbkpOTVdHw8PBwNm3aVOc14JbG1mAwYGtrS15eHv/85z8ZPnw42dnZXLx4EVtbW5555pmmItZz3QOsxYzrSUtLq6Zq7+npSUxMTCOuqHlhY2NDSEgIISEhTKwabKkoT0VHR7NmzRpOnz6Ng4NDNZEfb29vEhISyM7OxsXF5YYjhlq1avXH+HcaZiySXq/nzJkz2Nvb13j4YkOhrK1169ZERUX96QnHxsYGZ2dnysvL+fnnn7nrrrtYvHgxycnJxMbGcu7cuXo3uqtXryYkJISioiIA5s6dy3PPPceYMWN46qmn+PDDD+t05LnZbFb//++88w47duwgIiKC+fPnc++997Jr1y569OhB586d+fLLL+nduzd/+9vf6mz79UGLMbrX8tibijfTXLG3t+f222/n9ttvB+R9nJubS2xsLNHR0WzZsoW4uDhatWrF6NGj6devH+7u7jUWgZckidatW9O6dWvVWFgKcqemplJcXKxKN9ZmLJLZbObSpUtkZmbK43yakGKVon+RlpZWq7WZzWa2bdvGW2+9xdKlS3nwwQeRJAkfHx8GDhxYz6uG1NRUvv32WxYuXMjrr7+uzk7bsmULIAvZLFq0qE6NrkajITc3ly+//JJffvmFJUuW8OmnnzJq1Cj27NmjOggg53Qsu9qaKi3G6Hp6epKSkqLeb6qTQJszkiTh6urK/fffz3333cd9993Hc889x7Bhwzhx4gT79+9nxYoVlJSUEBoaqnrE3bt3r3H81FIb17Nq9I6ldKPlsEsnJ6drjkUqKiri7NmztG/fvsEnKf8Zyuictm3b1ngwJEBGRgYzZszAzc2NgwcPNspJZObMmaxYsUKNL+fm5uLs7Kx66J6enqSlpd3ydiy9W4CPPvqIdevWMWfOHPr27Uvfvn0ZPHgwy5YtY+HChaxdu5b33nuP4cOHM378+Fvefn3TYoxuVFQUiYmJ6tjybdu2qWfguiIlJYXx48eTmZmJRqNh6tSpzJgxg7y8vJamBfqnSJLEzp07VWMXHBzM2LFjATl2q4jAb9iwgf/973/Y2trSq1cvNT7s7+9fY2Oo1WpxcXGpViyv1L8WFhaSkpKiKoYZDAaMRiOhoaE43aKCV10ihFA78YKDg2u8NrPZzJYtW1i7di2vvfYaDzzwQKNcwX3zzTeqfvSBAweAur+6VGK3Go2GzMxMfv/9dwYNGsScOXOIi4sjOzuboqIi2rZty+LFi1mwYAELFy6kU6dObNu2TU2aX2m0mxotJpEG8N133zFz5kxMJhOTJk1iYR2JQytkZGSQkZFBeHg4xcXFRERE8NVXX/Hxxx+3NC3QOkUIQVFRUTUReGU2nGV8+FYSXNnZ2SQmJuLk5ISNjY06OdfR0fGao30akpKSEs6cOUO7du1u2Lp9Jenp6UyfPh13d3dWrVpV4wm+9cH8+fPZtGkTWq1WrTN+5JFH2Lt3L5mZmWi12quS2TUlOztbvXIBePvtt1m/fj3h4eG4u7szffp0srOzmTlzJhMnTmTcuHG8+eabnDt3jnXr1qmfYzabkSSpqYQVW371QmMwbNgwpk2bxrRp01qaWEe9ozROxMTEqGVrubm5BAYGqiLwvXr1+tP4bWVlJfHx8ZjNZoKCgqqFMcxms5rtb4yxSMr8vZycnKtG5/zZ+zZv3sw777zD8uXLGTp0aFMxJAAcOHCAlStX8s033zBq1ChGjBihJtK6d+/OM888U+PPeuWVV/j5558ZMWIEU6ZMYd++fezcuZO1a9eydetWVe93yZIlvPfee6xbt44hQ4aQlJTE8uXL6dq1az1+01vCanTrmgsXLtC/f39OnTqFt7d3S5OlaxRMJhO///676g0rM7u6d++uesPBwcFotVrMZjPnz58nOzubLl261Fg5q6HGIilxZTc3t1rpTKSmpjJ9+nS8vLxYuXJlkwqRKFga3fPnz6slY7169WLz5s010oe4fPkyo0ePplOnTrz55puYzWY8PDwoLS1FCMHq1av57rvvRfex1QAAEeVJREFUmDBhAgcOHGDYsGE8+uijjBo1iu7du/Piiy8CTTqUYDW6dUlJSQl33303CxcuZPjw4Tg7O1uNbj2gdGpZisDHx8djb29PcXExAwYMYPr06Xh7e9+SJ1iXY5GUk0F+fj4hISHqGKSavO+TTz7h3Xff5d///jf33HNPk/Ju65o9e/awdetWNm7cCFSvxc3JyeHJJ59kx44dAPTv3x9HR0fWrl3L5cuXefbZZ3nrrbfo3bt3s9ReaDGJtIbCYDAwYsQIxo0bx/DhwwHo2LEjGRkZanihMfVKWxKSJNGmTRv69+9P//79AXj//fdZt24dEydOpKioiBkzZpCeno6vr281EfjatB3b29tjb2+v/t8s23IzMzNJTEys0VgkZXSOu7s7kZGRNd5+SkoKzz77LH5+fhw6dKiptbPWKYpxTUlJoVOnToAcIrK8unB1deXEiRO88cYbeHp60q5dO6ZPn46vry++vr5MmDABNze3pmxwb4jV060FQggmTJiAi4sLb775pvr4888/X69aoI3RBdRUUTRlLb+vIgKvdNMdP36c8vLyq0Tgb2Uf3WgskoODA/n5+ej1ekJDQ2s8OsdsNvPxxx/z/vvvs2rVKgYPHtxivdsrFcGWL1+uzhG0fA3ICcT8/HwWL15MSUkJq1evJjg4uMHXfItYwwt1wX//+1/69etHt27dVC9n6dKl9OnTp161QF9//XWOHTtGUVER33zzDaNHj2b48OFq8qJHjx51WpDeEqioqFBF4GNjY1UR+PDwcNUQ+/r63lI80GAwkJaWxsWLF1WDXlPZxkuXLjFt2jQCAwNZsWJFjcMQzZ0DBw4wYMAAVR/4pZde4vHHH1fbewEWL17M3LlzMRqN6n5pwrHb62E1us2V1NRUJkyYoHYB7dq1Czc3t1su0/mroYjAK7Hh2NhYtaZbMcIRERG0b9++Rt6m0WgkMTERvV5PSEgIOp0OIQQVFRXV9CUsxyIpNbrbt29nw4YNrFq1ikGDBtWrd9uYteWW3m1+fj5Tpkzht99+Y+jQoTz22GNUVlYyYsQI9uzZQ1hYGCUlJTzxxBN06NCBtWvXqrrLTVw393pYjW5zZeTIkcyfP5/i4mJWrlzJxx9/TN++fUlKSgLkH9X999/PqVOnGnmlzQ+lVVgJS8TGxlJYWEhwcLDaxKGIwFtSm9E5lmORXnzxRY4cOUJ5eTkPPfQQd955J+PGjavX0FBj1ZZbeqbR0dGcP3+e0tJSJk2axLp16zh16hSrVq1i69at7Nu3j9LSUhITE5kyZQpz5syps3U0ItZEWnOkIbqA/spoNBp8fHzw8fFhzJgxgBwyOH36NNHR0Xz66ac8//zzaDQaevXqRXBwMD/88APjx49n6NChNWptliQJnU7Hli1bOHv2LBs3biQqKopff/2VY8eO1YuqmiXu7u6qroWjoyMhISGkpaXx9ddfq8fUhAkTGDBgQJ0aXY1GQ3p6Os8++yw5OTmcP3+emTNnYmNjw5AhQ8jMzOStt95iwYIFTJkyhTNnzuDk5KS27jdT77ZmCCFudLPSiMybN094eHiIzp07i44dOwqdTifGjh0r2rdvLwwGgxBCiMOHD4t77723kVfacjGbzaKoqEgsWbJEdOrUSdx7770iLCxMDBw4UMyZM0ds27ZNnDt3TpSUlIjS0tKrbqdOnRIDBw4U06dPFyUlJY36XZKTk4WXl5coLCwUTk5O1Z5zdna+5c83m83q33FxceLhhx8WixcvFkIIsWrVKnHnnXeqr/n+++/F2LFjxZYtW6p9hslkqvY5zZjr2lWr0W0m/PTTT+LBBx8UQggxcuRIsXXrViGEEE8++aR4++23G3NpLR6z2SyWLl0qsrKy1PtpaWniyy+/FHPnzhWDBg0SXbt2FQ8//LD417/+JXbv3i3S09PFqlWrRM+ePcXBgwcb3ZAUFxeL8PBwsWPHDiGEqBejK4QQ58+fF7/99pvIyckRjzzyiHjsscfU54YMGSJeeOEFIYQQ+fn5YteuXSI7O7tOttsEsRrd5o6l0T137pyIiooSXbp0ESNHjhTl5eV1uq38/HwxYsQIERQUJIKDg8Xhw4dFbm6uGDJkiPD39xdDhgwReXl5dbrN5o7RaBSnT58WH330kXjyySdF586dxahRo0RpaWljL01UVlaKe++9V6xatUp9LDAwUKSnpwshhEhPTxeBgYE39dkmk6na/fXr14vOnTsLIYQ4cOCAmDx5svjyyy+FEEIkJiYKBwcHceTIkWrvaewTUj1xXbtqTaQ1AGazmcTERHx8fGo8QrsxmTBhAv369VPHZJeVlbF06VKrqE8tENeZWdcY66iP2nLLmGtKSgqSJKlSnCNHjsTPz48VK1awZs0a4uPjmT17Nr6+vmzfvp27775bbYxowdw4u3qDm5U6oLy8XDz++ONCCCHKysrE2LFjRWFhoSgpKWn0ON+VFBYWCh8fn6u8j7ryjKw0LIcOHRKA6Natm+jRo4fo0aOH+Pbbb0VOTo4YNGiQ8Pf3F4MGDRK5ubk1+jyz2XzVsTF16lQxc+ZMkZ+fL4QQIiUlRXTp0kXExsaKy5cviylTpoglS5Zc9TktHKun21gYjUbGjh3LoUOH+Omnn/D19cVsNqPT6fj555/JzMxk9OjRAMTExCBJEr1792609cbFxTF16lRCQ0P59ddfiYiIYPXq1Xh4eFj1JayonD17lqeffpq+ffvStWtXNm7cyIwZMxg0aBA6nY6nn36aY8eOERsby4kTJ/Dx8anThqFmwHU93WbV4tEc0Wq1ODo64urqyvLlyxk4cCDr1q0jMTGRV155hUOHDgFyB9X333/Pp59+qr7XbDZjMpmuWSZWXxiNRk6cOMHTTz/NyZMnadOmDcuWLWuw7Vtp+nzwwQe88cYb/OMf/0CSJJKTk3Fzc2P79u0kJycD4Ofnh8FgIDY2lvDwcFxcXBr0OG7KWI1uA2A0GnnxxRfZsGEDISEhaLVaysrKiI+PZ/fu3UydOpXDhw9jMpmq6YNqNBpsbGzU2GBZWZk6K6q+8PT0xNPTkz59+gByfO7EiROqqA9gFfX5C1NcXMybb75JXl4eEyZMYNq0aeh0OkJDQykrK2P9+vWEhISQnp7Ozz//TFRUlPrephDjbgpYjW49o9frSUhIwM/PD4D4+HjuuOMOnJyc1BbI9957Dzs7O7Kzs1Vhj02bNjF27FheeuklEhISALkT6qeffuLEiROA7AnXNZ06dcLLy0sVYf/xxx8JDQ3lb3/7myrDt3HjRoYNG1an233jjTcICwuja9euPPbYY5SXl5OcnEyfPn0ICAjg0UcfpbKysk63aaX2ODo6snLlSmJiYtQ5hFFRUZhMJsLCwnj22Wd57bXXeOONN2jbtm29HKPNHavRrWdyc3PJzs4mMjKS3NxcCgoK6NatGydOnKC0tFQdwaKoVEVGRvL8889jMBh47rnnaNeuHZs2bUIIQU5ODmazmV69egHX9xxu9TJuzZo1jBs3ju7duxMXF8eCBQuYN28eP/zwAwEBAfzwww/MmzfvlrZhSVpaGm+99RbHjh3j1KlTmEwmtm3bpo73TkxMpF27dnz44Yd1tk0rN899993HuHHjmD59OiDr3Xbs2JEOHTrg4+PDww8/DDRLkZoGwdoGXM8UFxej1Wo5ePAgGRkZuLi4YG9vT1paGu3bt8fV1RWTyURWVhYODg7odDq2bduGm5sb/fv3p2/fvixevJh//vOf5OfnU15ejq+vb7VtlJeXExMTg5eXF35+fkiSdFUbpclkQqPR1OgSr2fPnhw7duyqx3/88cdb3yHXwWg0otfrsbW1paysDHd393of723l5pk7dy6PPPIIr7/+OrNmzWL8+PFXaVRYDe61se6VeqZz587MnTuXTz/9lE8++YSwsDBA9lIvXrwIyJMoMjMz8ff3JyUlBa1Wy08//UT37t05dOgQQ4YMoV27diQnJ9OmTRs8PDzUzzCbzSxZsoSdO3fyxBNP8NBDD5GXl4eNjQ3Hjh1Dr9cDVIsNKyhJusZOcHh4eDBnzhy8vb1xd3fHycmJiIiIehnv3RzZs2cPQUFB+Pv7N5mkprOzM3PmzCEpKQmz2azqUDT2sdQsuFE9WYNWtf1FqKioEELImgl33323mD59utizZ4946qmnxKZNm0RKSooYNmyYSE5Orva+/Px8sWTJEvHKK6+oj5lMJrF9+3bh5uYmfv31V1FUVCReffVV8dlnnwkhhHBwcBBz584VAwYMEBMmTBBFRUU3XJvZbBa//fZbg9cO5+XliYEDB4qsrCxRWVkphg0bJj755BPRpUsX9TWXLl0SXbt2bdB1NQWMRqPw8/MT586dExUVFaJ79+7i9OnTjb0sK3/Ode2qNbzQAJhMJiRJQqPRqDJ+t99+u6rypNfrcXV1xdnZGU9PT+655x7GjRtHeHg4nTt3ZtSoUUiSRElJCffcc4/6uQUFBZw6dYqoqCiWLFlCYmIiZWVlTJw4kdTUVFxdXbn77ruZPHkyL774IocOHeKBBx4gNTWV+fPn4+LiwqhRo/D29sbb2xuz2cyrr77Ktm3bAPj999/ZvHkzs2fPpn379vW2f/bt24evry9ubm4ADB8+nMOHD1NQUIDRaESr1apJm78aR48exd/fX03Ejhkzhq+//prQ0NBGXtkfWGO3tcO6pxoAGxubqw5Kk8mkZnZ1Oh0RERF06dIFIQTPPPMMb7/9Nl26dCE3NxdbW1uKior46quvWL16Nfv27SM1NRUXFxeSkpIYM2YM//nPfzh58iQ//fQT8+bNY8+ePYSHh3P//ffj7+9PWFgYJ0+eJD09nXnz5hEQEECfPn1YtWoVQ4cOVUWtv//+ew4cOEBBQQGXLl3i6NGj9WpwAby9vYmOjqasrAwhhFoxMXDgQD7//HOg7iomJk2aRIcOHaqV5uXl5XHPPfcQEBDAPffcozZ9CCGYPn06/v7+dO/eXa0aaUjS0tLw8vJS7zfFMIvV4NYO695qJK40xKIqFiZJEpIk0bNnT2bOnMlrr73GbbfdRkhIiFoDuWLFCrp27covv/zC//3f/3Hw4EGOHDlCSUmJGls7dOgQt99+OyDHjC9evEj37t357rvvaNOmDS+88AJjx45V63JdXFzw8fHB09OTbdu2sX37doqLi9HpdGzdupVDhw6pM6zqmj59+jBy5EjCw8Pp1q0bZrOZqVOnsnz5cl5//XX8/f3Jzc3liSeeuOVt/eMf/2DPnj3VHlu2bBmDBw8mMTGRwYMHq3HT3bt3k5iYSGJiIu+9916jJPHENWKk1nrXZs6NYg/WW+PdkNsIbaia7nGd12gAW+Al4Hvgd2BS1XMXgAFVf7sD3wJewDvAZIvP2AK8VPX3u8CUqr91Vc/tA54DfgWmKmtr7P1zi/vWBzhlcT8ecLfYV/EW++Oxa72uAdd6O7DX4v58YH5j70Pr7eZv1phuE0XIv7BqrqUkSRqqerqFECYhhBkwA69YvKa1JEk2wA7geNXDHkBn4DJwHrCUeBoAKAWwIcDWqr87Am2BNUKIryVJ0gH+kiRpqrbbkugohMgAEEJkSJKktNt5ACkWr0uteiyjAdcWCwRIkuQLpAFjgLENuH0rdYzV6DYjrmXsJPlaUyM/LcxCiLKqp2ZbvOw8sjdbKUnSVmCnJElhQALQDjguSZIL4CWEOFD1nvbIgkfRVfdtkY22Diit22/WZLnWdXyD1kQJIYySJE0D9iJf+XwkhDjdkGuwUrdYjW4z5zoesYQcAjBXvSYP+EKSJC2QD/QFugB/B44JIQokSfIByiVJGgv8AngCeiHE5ar3uQEXhBAt0eBeliTJvcrLdQeyqh5PRQ7JKHgC6Q29OCHEd8B3Db1dK/WDNZHWAhEyqldcZYQRQhiBuchGdQ6yN6uEE7KA/wdEAX2QQxAlVc/5AW1o2MvqhmQnMKHq7wnA1xaPj5dk+gKFShjCipWb5c/0dK20QCRJ6oLs7Z4RQlyzDqoqfuwihMiRJKkXMBLYIYQ4IUmSJJrpgVMVXhkAuCKHS14GvgL+A3gDl4BRQoi8qpPVWuA+oAyYKIS4uj/aipVaYDW6VlSqDC1XesnN1cBasdIU+f/vb0ylTzma6QAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x1 = data_df.drop({'numPuncs'}, axis = 1)\n",
"x2 = data_df.drop({'numCaps'}, axis = 1)\n",
"x3 = data_df.drop({'titleLength'}, axis = 1)\n",
"\n",
"#Graph 1\n",
"model1 = smf.ols(formula = 'logViews ~ titleLength + numCaps',\n",
" data = x1)\n",
"formula1 = model1.fit()\n",
"formula1.params\n",
"\n",
"x1surf, y1surf = np.meshgrid(np.linspace(x1.titleLength.min(),\n",
" x1.titleLength.max(), 100), \n",
" np.linspace(x1.numCaps.min(),\n",
" x1.numCaps.max(), 100))\n",
"onlyx1 = pd.DataFrame({'titleLength': x1surf.ravel(), \n",
" 'numCaps': y1surf.ravel()})\n",
"fittedy1 = formula1.predict(exog = onlyx1)\n",
"fittedy1 = np.array(fittedy1)\n",
"\n",
"fig1 = plt.figure()\n",
"ax1 = fig1.add_subplot(111, projection = '3d')\n",
"ax1.scatter(x1['titleLength'], x1['numCaps'], x1['logViews'], c = 'red',\n",
" marker = 'o', alpha = 0.5)\n",
"ax1.plot_surface(x1surf, y1surf, fittedy1.reshape(x1surf.shape),\n",
" color = 'None', alpha = 0.3)\n",
"ax1.set_xlabel('titleLength')\n",
"ax1.set_ylabel('numCaps')\n",
"ax1.set_zlabel('logViews')\n",
"plt.show()\n",
"\n",
"\n",
"#Graph 2\n",
"model2 = smf.ols(formula = 'logViews ~ titleLength + numPuncs',\n",
" data = x2)\n",
"formula2 = model2.fit()\n",
"formula2.params\n",
"\n",
"x2surf, y2surf = np.meshgrid(np.linspace(x2.titleLength.min(),\n",
" x2.titleLength.max(), 100), \n",
" np.linspace(x2.numPuncs.min(),\n",
" x2.numPuncs.max(), 100))\n",
"onlyx2 = pd.DataFrame({'titleLength': x2surf.ravel(), \n",
" 'numPuncs': y2surf.ravel()})\n",
"fittedy2 = formula2.predict(exog = onlyx2)\n",
"fittedy2 = np.array(fittedy2)\n",
"\n",
"fig2 = plt.figure()\n",
"ax2 = fig2.add_subplot(111, projection = '3d')\n",
"ax2.scatter(x2['titleLength'], x2['numPuncs'], x2['logViews'], c = 'blue',\n",
" marker = 'o', alpha = 0.5)\n",
"ax2.plot_surface(x2surf, y2surf, fittedy2.reshape(x2surf.shape),\n",
" color = 'None', alpha = 0.3)\n",
"ax2.set_xlabel('titleLength')\n",
"ax2.set_ylabel('numPuncs')\n",
"ax2.set_zlabel('logViews')\n",
"plt.show()\n",
"\n",
"\n",
"\n",
"#Graph 3\n",
"model3 = smf.ols(formula = 'logViews ~ numCaps + numPuncs',\n",
" data = x3)\n",
"formula3 = model3.fit()\n",
"formula3.params\n",
"\n",
"x3surf, y3surf = np.meshgrid(np.linspace(x3.numCaps.min(),\n",
" x3.numCaps.max(), 100), \n",
" np.linspace(x3.numPuncs.min(),\n",
" x3.numPuncs.max(), 100))\n",
"onlyx3 = pd.DataFrame({'numCaps': x3surf.ravel(), \n",
" 'numPuncs': y3surf.ravel()})\n",
"fittedy3 = formula3.predict(exog = onlyx3)\n",
"fittedy3 = np.array(fittedy3)\n",
"\n",
"fig3 = plt.figure()\n",
"ax3 = fig3.add_subplot(111, projection = '3d')\n",
"ax3.scatter(x3['numCaps'], x3['numPuncs'], x3['logViews'], c = 'green',\n",
" marker = 'o', alpha = 0.5)\n",
"ax3.plot_surface(x3surf, y3surf, fittedy3.reshape(x3surf.shape),\n",
" color = 'None', alpha = 0.3)\n",
"ax3.set_xlabel('numCaps')\n",
"ax3.set_ylabel('numPuncs')\n",
"ax3.set_zlabel('logViews')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}