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Created March 7, 2016 00:24
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Test a Multiple Regression Mode"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import pandas"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>attempt</th>\n",
" <th>bukv</th>\n",
" <th>bukv0</th>\n",
" <th>host</th>\n",
" <th>kr</th>\n",
" <th>naextra</th>\n",
" <th>ncextra</th>\n",
" <th>nfscan</th>\n",
" <th>npause</th>\n",
" <th>nscan</th>\n",
" <th>...</th>\n",
" <th>tclast</th>\n",
" <th>texit</th>\n",
" <th>u</th>\n",
" <th>userid</th>\n",
" <th>var</th>\n",
" <th>vt</th>\n",
" <th>cmid</th>\n",
" <th>course</th>\n",
" <th>grade</th>\n",
" <th>result</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1795</td>\n",
" <td>257</td>\n",
" <td>147</td>\n",
" <td>up11</td>\n",
" <td>0.432422</td>\n",
" <td>-3</td>\n",
" <td>-2</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>...</td>\n",
" <td>64.556</td>\n",
" <td>66.461</td>\n",
" <td>UP11__4103478780151029</td>\n",
" <td>540</td>\n",
" <td>5</td>\n",
" <td>12.972669</td>\n",
" <td>1706</td>\n",
" <td>9</td>\n",
" <td>0.25</td>\n",
" <td>correct</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1795</td>\n",
" <td>283</td>\n",
" <td>49</td>\n",
" <td>up11</td>\n",
" <td>1.662998</td>\n",
" <td>4</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>1</td>\n",
" <td>...</td>\n",
" <td>158.545</td>\n",
" <td>159.532</td>\n",
" <td>UP11__4106285050151029</td>\n",
" <td>540</td>\n",
" <td>3</td>\n",
" <td>49.889946</td>\n",
" <td>1706</td>\n",
" <td>9</td>\n",
" <td>0.00</td>\n",
" <td>incorrect</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>1795</td>\n",
" <td>81</td>\n",
" <td>27</td>\n",
" <td>up11</td>\n",
" <td>1.431508</td>\n",
" <td>-2</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>...</td>\n",
" <td>17.633</td>\n",
" <td>18.453</td>\n",
" <td>UP11__4106480830151029</td>\n",
" <td>540</td>\n",
" <td>4</td>\n",
" <td>42.945239</td>\n",
" <td>1706</td>\n",
" <td>9</td>\n",
" <td>0.00</td>\n",
" <td>incorrect</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>1795</td>\n",
" <td>251</td>\n",
" <td>21</td>\n",
" <td>up11</td>\n",
" <td>1.870821</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>...</td>\n",
" <td>23.561</td>\n",
" <td>24.441</td>\n",
" <td>UP11__4107136770151029</td>\n",
" <td>540</td>\n",
" <td>4</td>\n",
" <td>56.124639</td>\n",
" <td>1706</td>\n",
" <td>9</td>\n",
" <td>0.25</td>\n",
" <td>correct</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>1795</td>\n",
" <td>117</td>\n",
" <td>75</td>\n",
" <td>up11</td>\n",
" <td>0.275338</td>\n",
" <td>-1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>...</td>\n",
" <td>32.652</td>\n",
" <td>33.450</td>\n",
" <td>UP11__4107482870151029</td>\n",
" <td>540</td>\n",
" <td>3</td>\n",
" <td>8.260141</td>\n",
" <td>1706</td>\n",
" <td>9</td>\n",
" <td>0.25</td>\n",
" <td>correct</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>5 rows × 26 columns</p>\n",
"</div>"
],
"text/plain": [
" attempt bukv bukv0 host kr naextra ncextra nfscan npause \\\n",
"0 1795 257 147 up11 0.432422 -3 -2 0 1 \n",
"1 1795 283 49 up11 1.662998 4 0 0 2 \n",
"2 1795 81 27 up11 1.431508 -2 0 0 0 \n",
"3 1795 251 21 up11 1.870821 1 0 0 0 \n",
"4 1795 117 75 up11 0.275338 -1 0 0 1 \n",
"\n",
" nscan ... tclast texit u userid var \\\n",
"0 0 ... 64.556 66.461 UP11__4103478780151029 540 5 \n",
"1 1 ... 158.545 159.532 UP11__4106285050151029 540 3 \n",
"2 0 ... 17.633 18.453 UP11__4106480830151029 540 4 \n",
"3 1 ... 23.561 24.441 UP11__4107136770151029 540 4 \n",
"4 0 ... 32.652 33.450 UP11__4107482870151029 540 3 \n",
"\n",
" vt cmid course grade result \n",
"0 12.972669 1706 9 0.25 correct \n",
"1 49.889946 1706 9 0.00 incorrect \n",
"2 42.945239 1706 9 0.00 incorrect \n",
"3 56.124639 1706 9 0.25 correct \n",
"4 8.260141 1706 9 0.25 correct \n",
"\n",
"[5 rows x 26 columns]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"D=pandas.read_table('..\\StiReac\\D.tsv')\n",
"D.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will test a multiply regression model for the association between explanatory variables - number of pauses (`npause`), text length (`bukv`) and a response variable - time of exit (`texit`)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us use `statsmodel` module to test a linear regression model."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import statsmodels.api as sm\n",
"import statsmodels.formula.api as smf"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Subtracting mean values in explanatory variables. "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"D['npause_c'] = D.npause - D.npause.mean()\n",
"D['bukv_c'] = D.bukv - D.bukv.mean()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<table class=\"simpletable\">\n",
"<caption>OLS Regression Results</caption>\n",
"<tr>\n",
" <th>Dep. Variable:</th> <td>texit</td> <th> R-squared: </th> <td> 0.491</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Model:</th> <td>OLS</td> <th> Adj. R-squared: </th> <td> 0.491</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Method:</th> <td>Least Squares</td> <th> F-statistic: </th> <td> 3184.</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Date:</th> <td>Mon, 07 Mar 2016</td> <th> Prob (F-statistic):</th> <td> 0.00</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Time:</th> <td>02:39:34</td> <th> Log-Likelihood: </th> <td> -28158.</td> \n",
"</tr>\n",
"<tr>\n",
" <th>No. Observations:</th> <td> 6611</td> <th> AIC: </th> <td>5.632e+04</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Df Residuals:</th> <td> 6608</td> <th> BIC: </th> <td>5.634e+04</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Df Model:</th> <td> 2</td> <th> </th> <td> </td> \n",
"</tr>\n",
"<tr>\n",
" <th>Covariance Type:</th> <td>nonrobust</td> <th> </th> <td> </td> \n",
"</tr>\n",
"</table>\n",
"<table class=\"simpletable\">\n",
"<tr>\n",
" <td></td> <th>coef</th> <th>std err</th> <th>t</th> <th>P>|t|</th> <th>[95.0% Conf. Int.]</th> \n",
"</tr>\n",
"<tr>\n",
" <th>Intercept</th> <td> 34.7437</td> <td> 0.211</td> <td> 164.967</td> <td> 0.000</td> <td> 34.331 35.157</td>\n",
"</tr>\n",
"<tr>\n",
" <th>npause_c</th> <td> 27.7648</td> <td> 0.351</td> <td> 79.010</td> <td> 0.000</td> <td> 27.076 28.454</td>\n",
"</tr>\n",
"<tr>\n",
" <th>bukv_c</th> <td> 0.0204</td> <td> 0.002</td> <td> 8.468</td> <td> 0.000</td> <td> 0.016 0.025</td>\n",
"</tr>\n",
"</table>\n",
"<table class=\"simpletable\">\n",
"<tr>\n",
" <th>Omnibus:</th> <td>2613.653</td> <th> Durbin-Watson: </th> <td> 1.696</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Prob(Omnibus):</th> <td> 0.000</td> <th> Jarque-Bera (JB): </th> <td>15351.788</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Skew:</th> <td> 1.795</td> <th> Prob(JB): </th> <td> 0.00</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Kurtosis:</th> <td> 9.545</td> <th> Cond. No. </th> <td> 146.</td> \n",
"</tr>\n",
"</table>"
],
"text/plain": [
"<class 'statsmodels.iolib.summary.Summary'>\n",
"\"\"\"\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: texit R-squared: 0.491\n",
"Model: OLS Adj. R-squared: 0.491\n",
"Method: Least Squares F-statistic: 3184.\n",
"Date: Mon, 07 Mar 2016 Prob (F-statistic): 0.00\n",
"Time: 02:39:34 Log-Likelihood: -28158.\n",
"No. Observations: 6611 AIC: 5.632e+04\n",
"Df Residuals: 6608 BIC: 5.634e+04\n",
"Df Model: 2 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [95.0% Conf. Int.]\n",
"------------------------------------------------------------------------------\n",
"Intercept 34.7437 0.211 164.967 0.000 34.331 35.157\n",
"npause_c 27.7648 0.351 79.010 0.000 27.076 28.454\n",
"bukv_c 0.0204 0.002 8.468 0.000 0.016 0.025\n",
"==============================================================================\n",
"Omnibus: 2613.653 Durbin-Watson: 1.696\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 15351.788\n",
"Skew: 1.795 Prob(JB): 0.00\n",
"Kurtosis: 9.545 Cond. No. 146.\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"\"\"\""
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"reg1 = smf.ols('texit ~ npause_c + bukv_c ', data=D).fit()\n",
"reg1.summary()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The results of the multiple regression model indicated that time of exit is proportional to all the \n",
"explanatory variables:\n",
" - number of pauses (w1=27.76, p<.001)\n",
" - number of letters (w2=0.0204, p<.001)\n",
" \n",
"So multiple linear model is\n",
"$$ t_{exit} = 34.7 + 27.76 n_{pause} + 0.0204 n_{letter} $$\n",
"where $t_{exit}$ - time of exit, $n_{pause}$ - number of pauses, $n_{letter}$ - number of letters\n",
"\n",
"We can conclude that a single pause lasts at average near 28 sec., reading of 1 letter - about 20 ms, \n",
"No strong confounding if we add another variable in the model.\n",
"R2 value is high. So, results supported my hypothesis for the association between the primary explanatory variable and the response variable."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Regression diagnostics plots"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import seaborn"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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1y30ZjygWimIbTzoqJcCwUuZJEPmABL+ESWdxprJ4kp+bHHAmSgo6zwfMnyOCBI/LBp4r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PdNh/MD2Lx5M+3t7WzatIl0Ou3dPpXPz42PvvLKK+zfv5+vfOUrdHZ2evdP5XMDx4JatGiR93N5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\nQAq+RCKRSCQzACn4EolEIpHMAP4vWVD5032Y0eUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12b9a3f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"seaborn.regplot('bukv','texit', data=D)\n",
"xlabel('number of letters');\n",
"ylabel('time of exit');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Time of exit increases as number of letters increases."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### a) q-q plot"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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8IS7nfZJo/Hgs14/qSo3oaHIqongJOF4DPzExkTvvvJO2bdsSUmB/ps7SFxEp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\n9bq/62MAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12e31790>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sm.qqplot(reg1.resid, line='r');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that responce variable is not normally distributed."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### b) standardized residuals for all observations"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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P484778T3vvc9I+QDALS09+CTq9Xn5CpQ75dr7fY6TMq3YFF5vnv7kkIr3tle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\nmnC43neSxF43sUYugWDXobPo5nn/uRx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nz/EWd8dL4hp8/ee1RPc8+b1796K/vx8/+9nP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\nGGOMJSku8owxxliS4iLPGGOMJal/AGcGVcLwD3naAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x133b83f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(reg1.resid_pearson, 'o')\n",
"axhline(color='r');\n",
"ylabel('Standardized Residual');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We have many outliers with residuals more then 2 sigmas.\n",
"\n",
"We should include more explanatory variables to the model."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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G7QVz/fr17NixQ9o26+vXhY8//hgPDw+mTp2KQqGQ3p8/fz4KhUKvfYJA8LJMmDBB77u1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\n/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ubMmcOJEyeoX78+b775JocPH+af//ynvYdlE4TOCASWQ2w/6SAtPVtDaAAkCX7ZcZG0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\n1AghhBDCK/wL3EDptCwfkGAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x144659b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sm.graphics.plot_regress_exog(reg1, 'bukv_c');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All resudual plot are similar. The model predicts data in the range -100 to 100 poorer than for examples with big numbers of letters (`bukv`)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### c) leverage plot"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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RI8cBYGVlbVSmVKkyKBRK9u/fQ8eOXahbt/6rrWhBEN46kfwF4ZEFCxbQsGFj\n/P1/okqVqjRo4MfPP88lIyOdLVs2ApCSksLcub8wfvxobG3tUCgUqFTGb/s7duww6elpKBQKWrVq\nS40atZg8eQapqSn89ddfyLLMnTu32b59Kx4exejRoxdBQVsYOHAoLVu2AiA5OQmAWbNmkCePHd27\n9zR6qdDZs6fQaDRIkkSxYp6G5Q0b+hkuLp5my5YNhIZeY9Cg4VhaWj61jCzLTJ06gXz58vPVVz3/\ne4UKgvDOEslfENA/b//kk09o1qyl0XJnZxesrKyJjX0AwKZN6zhwYC9DhoygTZt2T91XVlYmsixj\nZmaOUqkEQKVSoVQqyczMBCAtLY3MzEysrKwYP340FSt607RpC1QqFQAZGRn8/vsRDhzYw8iR4wz7\neezixQvIsoy7uwf16vkalhcsWNhwcfFPycnJLF++mIYNG1Oxovcz62Lnzm3cvHkDf/+fxDsNBOED\nJZK/IKBPzsOHD6dKlapGy8+ePU1qagrFi+vvrv38mrJp0/YcFwlP8vX1w9LSkqysLKKjo4iPj2PG\njCkoFEpq1aoD6DvbtWvXiStXLhMaep3vvvPn+vWr7Nq1HQBraxVTpkygZ8++FC5cxGj/V6+GsG9f\nMJIkMWnSDKMLA2tra0B/cfFPv/22kYyMDLp3/+aZscuyzNq1gZQtWz5HXQiC8OEQHf4E4RkePoxl\nypTx5M3ryCeftAagYMFCL9zO3t6eatVq8r//HaBt208AMDExYdSoAFxd8wGgUtkY9pWRkc4XX3wG\nYFi/a9c2PDyK0rZte6N9Hzt2mIUL52BqaoZSqXxqR0TA6BEBgFarZevWTdSr50uhQs9+adGJE79z\n/344338/8IXnKQjC+0skf0F4ivv3wxkw4DtSU1P4+ee52Ng8/VWasiwzatRQZFlm2bKFXLr0J+XL\nV+Dw4YMADB48AmdnF3bt2saYMcPRarVIkoS7uzvDhw9Cp9MhSZKhk19UVCQAN2+GAbBs2SK6dfsa\nnU6LLMvMmjUdMzMz1OoMtFotmzato02b9oZk//iOX6UyjvfChfPEx8fTpEmL5573oUP7cHDIS9Wq\n1f9jzQmC8D4QyV8Q/uHs2dMMGfIjmZmZTJnyM6VKlTGsW7s2kG3bfiM2NhalUj8sr1ix4ty58xe1\na9fj2rUrHD58iAIFChIZGUFIyCWCg3fSrl0nQ4J3dHQiJSWV8PB72NnlQa3OICsrG2dnZ6pVq862\nbVsfHU18/ZJ4AAAgAElEQVRi5cqlrFy51GgEgKOjE/XqNWDdul+ZM2cmSUlJfP21fpz+/fv3DBcX\nT/r99yPY2to+N6nLssyJE8dp0qR5jpYDQRA+LOKZvyA8YceOIAYO7E9mZiYKhYKiRf/uSb9w4VyW\nLFlAixafMXnyDEPnvWLFPJEkCU9PL37+eS6yrMPCwpLmzT9h585taLVa1q371ZBQ27fvRGDgcgBq\n1arDiBFjkWUdGRkZHD/+O6B/vLBs2a8sXforo0dPMMTg7V2F3r2/o3z5ikiSRIECBdmwYY1h/YED\ne3FycsbDo5jReV2+fInSpcuhUDz7K3/79i1SU1MoX77CS9aiIAjvOnHnLwiPBAUFMXXqBMzMzHF0\ndCQ2Ntaw7uHDh4+m1+3Bl192IzU1FS+vUly9GsLmzeuRJAlJ0o8OUCgUREdH4eZWBFNTM7Kzsx6t\nVwBa6tSpz7x5swBwc3PHwsIChULBjz8OYuzYEQDky5efEiW8AP1d+2Pnz5/lwoXzAOh0OsLD7wFw\n6tRxDh06wPHjxxgxYpzRecmyzF9/3XxhB76wsBtIkoSHR9GXq0hBEN554s5fEICEhHjGjh2LqakZ\nLi4u1K5dD1mWCQsL5cqVEPbu3YVGo6F+/YaAfnRAtWo1kCSJuLiHzJ27mDZt2nP27Gl0Oh1paakc\nPnyQli0/RZIkvLxKodXqx+Wnp6fRqlUbqlatztKlC1m3bjUAQUFbDM37cXFxnDx5HIAePXrRv/8A\nFAoFmzfv5OjRM+zYsY8ffxyMQqHAysqKESMGExp6nZEjx+WYOjgpKQmtVoutrfF8BP8UF6d/T4CN\nzfPLCYLw/pPkp00k/p6IjU152yG885ycbEQ95cKuXduZPDkAWZYNzfOPf37cvB4ZGcGhQydQKpWk\npqbx/feTCA3dA0jY23+Lt7cLly7NJzs7G7VajYuLC9HRUajVagoXdsPLqxQHDuwlOPgQ1tYqdDod\na9YEEhi4jIyMDEMrwWeffU54+D0uXDjPpEkzqFmztlGs//vfAUaNGmp41DBt2izs7e3fWF2Jz1Tu\niHrKPVFXuePk9PSOx/+FaPYXBKB69Zo4ODjQuXN32rZtz8aN65g7dyYbN27H1dWV6dMnERcXh1Kp\nRKfTMWbMGeLipuPg0J/4+OZkZio4dGgpkEixYkVwdc3PxInTCAu7wVdfdeLLL7sbevI/plAo+PLL\nbtSsWYurV68wb94sChcuzA8/DEKWZbp0acecOTP5809ToqNNsLTUUauWFSVKlGTu3CVERt5n2bJF\nfP31lyxd+usbvQAQBOH9Jpr9BQGYPDkAT09Pw7j6+PgkZFnm2jX9dLw6nc5Q9vDhy9y4UduoR3x6\n+jIgA1PTz4iIiGLw4OG5PrZarWbhwrlYWloyceJ0lEolJiYmFCzoxf374ezfX4uQkNqcPVuX6dOL\ns2bNDcqVK0/Tpi2YNGk6Dx7EsHNn0CurC0EQPnwi+QsfvaCgzVy8eIGAgABiY+MYPvwIW7fKyLLE\n9OlO9O9/ArVaR2amGp1Ox8WL2SiV+ua3jIxtgIwk2aFSTSAzcyteXu1QqWzQarVotVqAHBcQj+3b\nF0yfPt9gZmbGnDmLDJP2ZGZmEhKSgSTZIEmmaLUxqNVbkSSJ33+vQ3DwBUA/0kCpVBITE/NmKksQ\nhA+CaPYXPnoHD+4nIyODRo0a8c8eMElJHQkJqYKdXVlkWebixQts2fLto7V/F5blaJKTewFw/vxS\n6tUzHps/ceJYAKOhdsuWLWLFiiUAPHgQQ7t2nxn6GPj4+JGScg1TU30PfZ0ujpSUkVhbJ2Jl1Z0T\nJ7Jp1kw/J4FWq8XTs8SrrhZBED5gIvkLH71Bg4aTnp7OrVsRzJvnhCTZkJm5i4yMQGxt56FUuqHV\nWiDLK/jzzz/o3Xs4q1c7kJo6FNAiSVaYmfmSmRmEqakfjRq5cunSIdLS0qlXz5egoC14eBTl1q2b\nhguCx5P3mJmZU6ZMGS5c+IOyZctTr54varWaTZuCgExUqh8AMDUthZlZI9LS5gE6IiNhw4abrFq1\nHC+vUs9914AgCMI/ieQvfPQez3V//nw2ZmY+AGRn68fSm5gUQ6nMD0C+fLVZtWoZnTt3w8bmCKmp\n+kl+ZDmFzMygR9vtJzhY38z/yy/zsbPLQ1DQFtq378ysWY9f63uLFSuWkD9/ASIi7uPt7UPNmnUJ\nDt7BkiULkSSJIkVKoNP9hFLpZojT1nYK6ekrUKuDuHkznORkR1q0+ITu3XtiYiK+yoIg5J74iyEI\nj5ia5nwm/yQvry9o3NiT3bt3kJiYiJ1dfkxNW5CYeBGd7iqNGw/h++9rolQquXUrjNKly3LzZpih\nY2CePPaUKFGSM2dOIcsykZERACxduognZ9Nt27Y9ffv607fvSaKj/14uSWZYW/fC2voTBg2Kpnp1\nr1deB4IgfBxEhz9BeKRpUw8glOTkq2Rllcbe/oThrl+ny6RyZSU9evRiy5adHDz4O7t2bWfQoFJo\ntWeoXr0Zjo4OHD8ehqmpKWXKlEOSJIoWLcb69Vu5evUKUVERtGnzBT169OLo0TP06NELpVLJZ599\njr29AwqFguLFS1C5clUUCgU//OCGo+P/0OketzDIKBQhfPHFDZH4BUF4Kbm+85dlmdTUVMPbzTZt\n2sS9e/do3rw5Xl7iD5Hw/gsNfUhS0lXu3KmHJNmgVF7Fzi6J/Plr4Ol5gGbN6uTYZvbsBSgUjly/\nPowbN0zQatPZuvUkgwYVwcMjP7/8Mo2tWzcjSRLNmrWkevVahm1v3AhFlmU0mmzGjp1IamoKmzat\nZ/DgHwyT+8yf70Jw8Bnu35exsNDQrFkxXF3F9LuCILycXM3wd/nyZVq0aMGXX37J+PHjGTBgAL/8\n8gtKpRKlUsmuXbvw9fV9E/EaETNCvZiYOSt3zp27ycyZdqSlFebhww1oNBtRKMKRZStsbe1ZuDAA\nd3d90k1KSmTFiiUcOHCAxMQ4FAonLCw6YGXVHUkyAyB//v2MHl2cSZMCuHYthMzMTLRaLWXLlmfe\nPH0P/7/+uklcXBw3blxn585tPHgQg6trPpKTk7Czy8Pq1ZveWn08j/hM5Y6op9wTdZU7r3KGv1w1\n+w8aNAhnZ2c6duxIWloaCxcupHv37qjVar744guGD8/9hCaC8C7asSOO7GwPMjICgQBsbLyxt59F\nnjyDycxMpXfvHkRHR6HRaBg4sD+HDh3AxMQFMMXcvDXp6YtITh5o2N+9e2X55pvuxMREMWTISEaN\nCsDOLg8XL17g9OkTAHh4FOP48WMsW7aIFi0+Zdq0WTRq1ITExETu3LmNRqN5O5UhCMIHL1fN/idO\nnGDDhg2UKlWK3377DbVazddff41CoaBbt260aNHidccpCK/V7dumAKSnL8LcvBkq1TDDOhOT8iQm\nNmbLlo2UL1+B0NDrzJgxm2HDJmNmVguVqj8KhSVpabPRaG4iy9lkZCwjOzuORYuCcHXNB4BSacqw\nYQPYvj0IH5/qbN26ia1bN9G5czc6deoKQKVKldm7dzfh4fdED35BEF6bXN35KxQKwx+i3bt34+Dg\nQLVq1QCIj49HpVK9vggF4Q0wNZXR6VKwsGiBhUUro3UKhQMWFhbExj7A0tKKFi0+xdPTi4yMCExN\nKwOgVOofCeh0MWRnnyYzMxgHBxdD4ge4di0EgDt3/kKSJDZv3oCraz4+/7ydoUxaWioPHjxAkhRP\nnRFQEAThVcjVrUX16tWZNm0acXFxbNiwgfbt9fOf//nnn4wdO5ZatWq9YA+C8G4rXTqbU6dsUKmG\n5lhnYbGa+PgMihf3xNu7Ct7eVbh48U8AFIpCAGRm7gUUKJWemJiUJS1tBqmpCQQH78TR0YlTp46z\nefMGihUrzr17dwHo2bMPo0YNZcqUAFq1akts7ANWrFhMZqaaZs1aGs0GKAiC8CrlqsPfjRs3aNGi\nBTdv3sTT05ODBw9SoEAB8ufPj52dHbt378bd3f1NxGtEdBB5MdGRJnciImIZPvwc9+4dIDv7D0DC\nxKQsVlYtkOXpmJkpmDdvCWvXBnLy5HESEuLJzs4mf/4KREfHoNNFAZaYm9fBwqIYSUnzH43dl5Bl\nGRMTJZIkYW2tIikpkYMHj3P27GnmzJlJRMR9ZPnvu3yFQkHJkqXp2bMP3t5VnhnzxIljCQ7eybFj\nZ1939RgRn6ncEfWUe6KucueNd/jz9PQkNDSUqKgorl27RoECBQDYu3cvISEhbyXxC8KrlJmZTGTk\nJGxsInB27oKDw5eYmv5FcvIwNJoMxo2bxJgxwzh58jg9e/Zh2rRZlCjhRWTkn+h0UahUBfD0bIdC\ncZqkpHmATNWq1alc2QdJAjMzM0aNGk/+/AWQZZmZM6cybNhAypUrj7//ABQKBZIk4e5eFDs7O8LC\nbuDv34ejRw8/Nd4jR/5HcPBOozcLCoIg5Fau2xUlScLFxcXoj03ZsmVRKpWvJJDFixfTvn17Pv/8\nc7Zs2fJK9ikIuTVv3izy58/Pli2r2by5GyNGlEShSEWSJNq160RiYiKhodcZNmw0TZo0x8wsLzdu\n3ATAxMSGtm1/ZO7cHri42ANgZmaOnV0eLlw4R+vWX+DmVoSTJ3+nVKnSSJJEcPBOKlTwZtiw0Zw/\nfw4XF1f69vXn3r07DBkykqysTPLkyUNg4PIcsT58+JBp0ybg4uL6RutIEIQPxzOf+dvY2OT6rkKS\nJJKSkv5zEGfOnOHChQusX7+e9PR0li/P+QdPEF6XlJQUzp07zbBhwzAxMWHHjiBmzJhM4cJuTJ36\nC66u+cjIyGD+/KWULl2WvXsvMGXKXGRZA1giSaXZscOPS5f2ERFxH1NTU6ysrAgPv4dOp8Pa2poK\nFbzZvXs7Xl6lsbKyJi0tlcqVq7B79w7c3YtSubIP9er5Mm/eL9y/H46JiQkWFpbExj7IEe/EiWMp\nW7YC+fLlY/PmDW++wgRBeO89M/kPGDDgjTUp/v7773h6etKnTx/S0tIYNGjQGzmuIADcuhWGLMvk\ny5eP77//lvPnzyJJEra2dqSnpwFgaWlJmTLlyM7OZvr0n8nKCsXEpBIazUUsLTshSQru3m2MUjka\ntTqVEiVK8scfZ2nQwI9t27ZQqJAbyckpnD9/Bq1WZ9j/pEnj+Pbb/rRu3fbRcaw4e/YMGo2GhIR4\nKlSoZBTrpk3ruXnzBoGBGwgMXPba6iQ9PY2vvurM55+3o23b9kbrli5dytq164iNjaVgwYJ07NiF\nJk2aG5VJSkpk0aJ5HD9+lLS0NAoXduPLL7tTv35DQ5nExERatmyU49iSJLFx43ZcXUXLhiC8Ls9M\n/mPGjHljQSQkJBAZGcmiRYsIDw/n22+/Zc+ePW/s+MLHLT4+HlmWGTx4MCkp+k5HlpaWXLt2lV69\nvmLkyHHkzeuIpaUlAQEBZGRcA0Cj+QOlsgSSZE929iV0uniysvQT8/z1102ys7PZv38PSqWSkJBL\nj7bR4enpxc2bN0hMTMDaWsX8+bNYvXoFPj7VkSQ4d+401tYq1OoMunbtYYjz9u2/WLhwDmPHTiRP\nnjyvrT6SkhIZOnSg4cVDT1q4cC4bNqzhq696UaKEFwcP7mPChDEoFEr8/JoAkJmZSd++PcnISKdv\nX3/s7R3YvXsHo0cPw9zcgho19KODbty4jiRJBARMwcnJyeg4jo6Or+38BEH4F3P7x8XFcfr0aTIz\nMw3vJJdlmfT0dE6ePMn8+fP/cxB58uShaNGimJiY4O7ujrm5OfHx8Tg4OPznfQpCbmk02ciybEj8\nkiSRkZFh+JwPGzYQhUKBk5MLMTHRRttqtaEkJXUGJEAGlCgUCuLiHj5RRmv4uU2b9mzfvhWdTseS\nJQto0qQ5CoWCU6eOc+DAXkB/4ZGRkY6//0+ULVv+UYwaAgJG0qCBH7Vq1X1tdXHo0AHmzp1JVlZW\njnUPHz5k48a19OnTh7ZtvwTAx6caycnJLF48z5D8N21aR1RUBIGBGyhQoCAAVapUJTo6kuPHjxqS\nf2jodczNzalTp57ouCgIb1iukv/WrVvp1KkTarXa8CWVZdnws6en50sF4e3tza+//kq3bt2IiYlB\nrVZjb2//wu1e5bCHD5mop+fLl09/l1myZEmCgoIMy6Ojo6lbty7Ozs4cOHAAb29vWrb8jD/+6Iks\newAQE9MUrfYvwBqFwpI8eRywtEwlODiYmTNnsnLlSjZs2ECvXr1ITExk/Pgx2NpasXz5cpycnJg1\n62fD8aZNm8bSpUtRq9WMHz+eNm3aGNZNnz6d1NQUxowZiUplhSzLmJvrv74ODlaG0QIvIyIignHj\nRvD555/ToUMHWrVqhUplbvj8HD9+EI1GQ+PGjY0+U61bf8qAAQN4+PA+JUuW5Nix/1G3bl0qVChp\ntP/Nm43fVXD37k1KlCiBs7PtS8X9LhPfvdwTdfVm5Sr5jxs3jkqVKjF37lzmzZtHZmYmQ4cOJTg4\nmOHDhzNz5syXCqJevXqcO3eONm3aIMsyo0ePztUfMjEu9MXE+NkXMzXVz1Dp5eVlqKu0tDT27bv6\nqBUgk2PHTqPRaLC3t6dEiStculTI6DMqSSocHKbj4bGM/PkdSE7OIj4+CVNTM/Ln90CSJBQKJQ8f\nplKlSk2WL19OZmaW4XhXr4awevUaAOrXb0jduo2N/r/t3LmLmJhoqlatmiP+MmXK0KRJc4YNG/1S\n9aDVmrJu3W/ky5ef6OgoAFJTMw1xXL58DUmSKFKkiFFstrZOyLLMhQsh2Nvn48aNG/j41GDWrPls\n3bqZBw+iKVzYja+//pa6desbtrt8OQQ7uzx06vQlV66EoFBIVK9ei++++4G8ed//Zn/x3cs9UVe5\n8yovkHKV/K9fv87GjRupUKECvr6+TJo0iZIlS1KyZEkSEhIYP348TZo0ealABg4c+OJCgvAaeHmV\npFChwoSEhKDVatm16zLr15sSF/cAWZZRqz2ZPHkHsiyzZcsGRowYR2bmNs6fP/3orh+cnXvTsWMa\nkZH5CQ7eyXff/YCbmzsaTTZBQZuJj4+nUKHCAIZHB8nJSfz22yZKlPDC378vmZlqAL755tscMU6Z\nMpPs7GyjZevXr+bgwX0sXRqIre3L9wGwtLTE0tLymetTU1MwN7fIMbzX2toa0F8wJScno9Fo2Llz\nG3Z2eejXzx9LS0s2b97AiBGDmDBhGnXq1CMtLZWoqEiSk5Pp3bsfX33Vk5s3w1i+fDF9+37D8uWr\nsbKyfulzEgTh6XKV/E1NTbGx0V9xPJ7wJzs7G1NTUxo0aPBSz/sF4V3Qv/+PDBv2Ez17fk1MzBdk\nZ6tJS5sMKFCpJpGebo25+XGys1MYOnSA0bZKpQkJCZMIDW1MtWo1CArazPff90GlUqHT6Zg+fTIA\nDx/GMnz4IM6fP0OhQoUJDw/n55+n5IilQ4fWgL7vwZQpM6lRoxZJSYksX76Y69evYm5ugYWFBdHR\nUSgUCjw9vV57/QAvfNeAJEloNPoLFLVazcqV87Gz01+UeHtXoWvX9ixbtpA6dephamrGzJnzcHZ2\nMVwUlStXAQ+Ponz3XS+Cgn6jY8cvX+8JCcJHLFeT/FSqVInffvsN0D8XlWWZY8eOAXDv3r3XF50g\nvCHVq9di+fLlPHigJjFxAmlpkwAJW9s5mJjkA3RkZSkACQsLC6NttVoNWVmZ7N69nTFjhpGVlcW1\na1c4deqEoYxSqSQjI4MjRw5Rpkw5ChQohFL5/K+fLMsEBIzi7NnT/PBDX2xsbJk4cTqNGzczNMvr\nOxq+GSqVDZmZ6hwXAWlpaYb1j1sBypQpa0j8oD//KlWqcfv2X2g0GszMzPD2rmJI/I9VqFAJa2sV\nYWGhr/lsBOHjlqvkP3ToUObPn0/79u2xsrLiiy++oGPHjnTr1g1/f38aNmz44p0IwjvOx8eHPHma\nI0lmAFhYdMbcvB4AavUmZDkOL6/qZGVloVAocHZ2wcLCuJm8QoVKjBgx1qiHv4uLK2PGTKBXr76A\nvpf76dMnKFzYjfz5C3D48CmaNWsJYGhSz5vXkf37jxEcfIhZs2ZQsaI3EydOw929KHv37sLBIS8A\nP/8857XWyZPc3IogyzLh4eFGy+/fv/doamIPrKyscXDIS1ZWdo7tNRoNJiYmmJiYEBFxn23bfiMh\nIcGojCzLZGdnkSfPizv8CoLw3+Uq+Tdu3JgTJ04YnusvXryYZs2acebMGVq2bMm8efNea5CC8CbM\nmDGP27dno9OpkWUdarUaWdYnca02EpAICTlGqVJlad/+S2JjH6BWZxjt48aNaGbNmmH4vVKlypQr\nV4HRo4ehVmcC+mfnkiTRs2dfJk/+mePHjxEcvBOFQmG4mGjevCWWlpbcvBnG3bu3adNGP9HO49n9\nGjb0Q6FQULmyzxuoGb2qVas/mpo42Gj5gQN7cXJyxsND/1rjGjVqc/nyRaKiIg1lsrOzOX36hGHS\nosTERKZPn8SuXduM9nX48EGys7Pf6HkJwsco1+P8fXx88PHRfyGtrKzEFLzCB2Xq1IVs374MWTZF\np7NGodCQlFSY1NT9FCnSEIXCGdDSvPlnDB48goyMDDw8vJk0aTxa7d9T8KalgSwnYWdnT+XKlTl3\n7gxdunxFREQ4O3ZsBaBGjVocPXqY8PB7lCxZmmnTJuDsrJ9DIC0tFaVSSefO3QAICwt9NBugLV99\n1ZkbN0IxNzfH0dGRXLyQ85VydHTi009bM3fuXBITUylTphwHD+7j+PFjjBgxzlDuq6++4fjxo/zw\nQz969OiJtbWKDRvW8vBhLOPGTQKgdOky1KpVhxUrlqDT6ShduizXrl1h1arlVKtWg5o1a7/RcxOE\nj02uXukbGBj4wh116dLllQT0b4ihIS8mhtC8WGRkJO3atUGWswDVo/9modPlQZaVmJhUw9a2MMnJ\nC7CwsEShUBim/f23nJ1d2LJlJ2PHjuDQof3odDL6yYH+Vr58JWbMmI2FhQVr1wayYMEc7O0dSExM\noEePXjg7uzBjxhTU6gz27j2MtbXqpevgn6Kjo/jii0/p3/9HQ6sD6Dv9bdiwis2bt5CUlEiBAoXo\n3LkrjRoZj/aJiopk4cK5nDt3mqysbLy8StKrV1/KlClnKJOZmcmaNas4cGAvMTHRODg44ufXhK5d\ne2BmZvbKz+lNE9+93BN1lTuvcqhfrpK/QvHspwMWFhaoVCoePMj5ApLXTXxYXkx8qV4sIGAWe/eu\n5skk/OS3QqHIi59fbfbuDTJMpvPkM/1/w9LSimrVaqBS2RhaAp6mZMlSLFkSyKpVy1i6dCEqlQ21\na9c1jOUfNWoIhw4doF8/f9q37/yfYnmW9PR0EhMTyJPHHisrqxzrxWcqd0Q95Z6oq9x54+P8/9kp\nByA1NZWjR48ybNgwVq9e/coCEoQ3rUiR6kjSDkxNi6LRRCDLyUA6+q+HBmtrRx7fiBYtWpywsFBM\nTEzQaLTou83880JACaiAJKysrA2tBPnyFeDrr3sxfvxoTE1NHx3bHaXShIIFC3LkyP8A/XTX165d\n5cGDGEPveYVCQb9+P6DVapFlGQcH/SQ4169fM5pt82WkpKQwf/5FLlywJznZCTu721SqlECfPpWw\nts55ESAIwvsrV8nfzs7uqcs6dOhAeno633//PefOnXvlwQnCm1CggBJT0xpkZQUjy+aAfrIdSXqc\n1JPRavUv7Ll1KwzQ91zXe1oLgAQkAxg9HoiKiiAsLBRZlg1z59+5c9tov6DvDAdw/344v/wyHdC/\nbKdZM98cRzpwYC9mZmYvPbufRqNhxIg/uHu3MZIkYW4OarUbx4/LxMQEM3Vq3ee2AAqC8H7JdYe/\nZ3Fzc+PKlSuvIhZBeCvq16/EzJmbycyUeZz44e+m/7S0GExN9bf+L5roRk/zzDWurvlzFZOZmRka\njQZJkjA1NaNgwYJ06PB3v5pdu7bx559/0LNnH/z8muVqn8+zZ8+f3L5dF6XSuAVBkiRu3KjN4cMh\n+PqWe8bWgiC8b3J1KR8fH5/j38OHD7l06RITJkygaNGirztOQXhtdDodiYmHH/2mRKd7PHZfRpJA\nlnXcvBn2jK3/nUWL5uaYHvdpxo+fSmjodSwsLOjf/0fu3LnNqVPHcXR0JDtbP4kQQKdOXV/Je++v\nXJFRKp8+ta9SacOff2a+9DEEQXh35OrO39HR8ZnPFM3Nzdm0adNT1wnC+2D37pPIMkgSSFI5tNqC\nwA6e/MhHReV8t/1/oVaradiwCfv368fKS5KUY8ielZU18+fPpmDBgnh4FOOzzz7H3t6e1atXMmTI\nj6hUKgoWLMTt23/l6kJCEAThn3KV/JcvX54j+T8ee1y/fv2n9gkQhPdFQoIpefKsQanUkZUVTUrK\nj4/WmAL6mepSUv7uiaxSqUhLSzNK2qVKleXq1ctYWFigVv/96EChUBg9Kjh27Cz9+vU0/P60wTZm\nZmbcv3+Phw9jKVzYDX//Poa33tWuXe+1vPWuXDklx4+no1Tm7Nin1aZQqZL5Kz2eIAhvV66Sf7du\n3V5zGILw9ri6mqFQeJCRMY309A38PV++PvErFObodPrn+JIkkZ2dbbhjf5y7Q0JiUShAqzXuE/DP\nPgLHjx8jKSnxufGkpqbg5ORMVFQk4eH33shb7xo1KsfevUe4c6eJ0YW+LMv8n73zjq/x+h/4+7kj\nkT1Ehi1WUCuxN0WlVI1SszY/pUaLqlmKltgtatVu1SpK7dGg9l4hJHYiErLXHc/vjytXIgk3kpvg\ne96vV17uPec853ye5+W5nzM+o2xZfxo0aJRjYwkEgrwnUz//2bNnZ6mjr7/++vWNchjhF/p6hP/s\n69FqtXTo4MeTJ5szrC9fvho3b15Aq9ViZWVNQkI8kHa7Xq93RJISUSgSM+wjhRIlPLGysubatSuv\nbKdSqahTpz4DB36VJvnNhQvn+OqrAQwcOCTHs97FxsayaNFFzp1zIDo6Pw4OEVSrFsWAAVXTuPqJ\n/0kQUeYAACAASURBVFOmIZ6T6YhnZRq54uc/YsSINN9TVjpKpZICBQrw7NkzkpKSsLCwwNnZOU+U\nv0CQE8TERPPsmSHGvCzbAbGkBPyRJHB3dyI42GB9n5AQjyQp0evTuvgpFJFoNF6o1QFGW4EiRYry\n7NlTYmNjje3u3r1DixYtX6v87ezsGTLkm3TGfObMemdra8vIkXVJSEggOjoaR8fSWFqK7X6B4H0k\nU2t/vV5v/Nu9ezeurq5s3ryZpKQkHj16REJCAnv37sXNzY0ZM2bkpswCQY7y339HU/ntx5Ba8QMc\nPLgvjWFdSrKfl1GrA57XG77fv38vjeIHQ0TMpCTD7oBKpc5UpqlT/Th58r88yXpnZWWFm5ubUPwC\nwXuMSa5+gwcPZtq0abRt2zZNoI+mTZsydepUxo4dazYBBQJzU7Wqj/GzweIfXnZuiY1NvSWpJKNX\nR5aVz//NfCxZlo3Z/fR6HZUrG7LcqVRpN+GUSqXIeicQCMyGSQZ/ISEhFChQIMM6a2trY0QygeBd\n5PTpU8bPGSluvd4dpTI0VUlmcf3VaLUFUKkMbTPKA5CQkGBM26vX67l48RyQOmKggSVLFoisdwKB\nwGyYpPzr1q3LxIkT8fHxwcPDw1h++/Ztxo0bR9OmTc0moEBgbk6fPvHK1bpCEZp55XO0WntUqhgk\nKeb5roGUYTRASZIoU6YsBw7seWV/584ZwmXLssySJQsBcHZ2oWPHzrRp8xlz5/px/PgxIiLCcXcv\nSLNmH9GlyxfGnAEvM3Hid2g0WqZN83tJbi1btmxg587tPHr0EEdHJ3x8qtO//5c4O+d/7X0LBIJ3\nE5Oy+gUGBtKwYUMiIiKoWLEiLi4uhIWFceXKFUqUKMGhQ4coWNC0sKU5ibAOfT3Civb1bNu2hRkz\npr2yTcoxgKXlizP7jN4cU/Pr2NraodEkk5SUceS8WrXq0qtXP2N/MTGxfPPN4AzGk+jUqRubN2+g\nZs3a/PjjzDT1er2eefNmsmXLRurXb5RO+c+bN4tt2zbTpcsXVK3qQ2hoCMuXL0apVLJq1R8ZuhOK\n/1OmIZ6T6YhnZRo5ae1v0pl/6dKluXHjBn5+fpQqVQpZlvHy8mLBggVcunQpTxS/QJBTXLlyD5DQ\naIoAL87uM8Kg+CUMAYDSIkmgVJZ6/i3jFbilZT4AGjX6EI1Gg719xgGyTp06zsaNf1C8eAkmTx7P\nkSOHUSgUdOvWE0mSGDBgEE2aNMXFpQBbtmzA2tqao0f/5ebNF14An37aggYNarB58wZkWcbf/xD1\n61enfv3qNGhQg6CgW2zZsoHPP+9K377/h49PdVq2bE3JkqUICXnErl07X/vsBALBu4nJiX3s7OwY\nMmQIQ4YMMac8AkGuExWlAmRUqkfAi2x+KSF/U3jxXQlonsf95/k1hn91ugfPW2syHCspKRF7e3vO\nnj3NBx9U4tKlCxm20+v17N+/h6Cg2zx69JCwsMdYWlri41OdqKhI/v33IGFhYfTu3Z+iRYuxY8dW\n9u7dzezZ0/n119+eyyTh5VWezp27MX/+bIoWLUabNp/xww/jqVOnPlZW1rRp054mTV4c2/377yGO\nHz8GQHj4k6w+SoFA8I6QqfJv3bo1s2bNonTp0rRu3fqVnUiSxLZt217ZRiB4W6le3Ytjx14ofa3W\nAZUqyqjQZVlCr7dCoYh/fsUL47zUEwADrw7yA4b4/tHR0SblCwgKugXAw4f38fQsRfXqNUlKSmTn\nzu3MmjWf6tVrAbBjxzYUCgVXr14mKOg2np4lmT37Zzw9DTsRv/76C7a2dqxfvxYPj4KMHz8ZKysr\nhg8fZRwrPDwcP7+p2Ns7EB0dRalSZV4rn0AgeDfJVPnHxMQYrZSjo6MzTewjELzr1KhRKs13lSoq\nzXdJMqT6zewVUCgKIMumr5KTk5NNblusWHHu3r3DvXt3KVWqNMOGfcnlyxdRKBT8/fc2PD1Lcfbs\nafbt202NGrU4ffok4eFP8PQsaVT8KTx69IDg4CDmzVuElVX6DH7Tpk3C07M0V65cBKBRoyYmyykQ\nCN4tMlX+hw4dMn4+fPhwbsgiEOQJ589fJja2ClZW11Eq0xvg6fVKFIrM3PtAlsMBQ0KerCj216FW\nW+Dg4Ph8DJk7d4IZNmxkmjj/PXp0JiYmmipVvLGzs0OSJDw906fY1uv13LkTTNOmH6WJa5DCxo3r\nCQi4iiQpUCpVSJLmvc8YePLkcVasWEpw8G1sbGypVasOAwYMMj7z1Bw/foxRo4axe/chbGxsM+1z\n3LhRSJKCH374yZyiCwTZxiSDP4DIyEgePjRsUyYlJeHn58dXX32VZpIgELyL3LunQacrmKHiB1Ao\ndK+x4jfs+2e0ms6I1Eq1bNnymbbz8ChojLLn4OCIq6sbu3fvZPjwQfz22xIsLS2JjHxGkSJFadGi\nJQcO7OOTT9pw40YAfft+QdOm9WjXriVLly4iLi4WnU5Hr1790o0THBzEggVzSUhIeJ6p88P3fqfv\n3LkzjBo1DAcHB6ZMmU6/fgM5dsyfUaOGp4nLAHDmzCkmThzzymei0+mYOfMn/v1X/B4K3g1MUv7+\n/v4ULVqU+fPnA9C/f39Gjx7Nzp07adasGRs2bDCrkAKBOXn8OAk7O3+0WtOUd2a8HMo3MyTJ8NrZ\n2Tlw48a1TNs9eHAPW1vDal6r1fLw4QN0Oh2jR4/H3d2Dx48N8QeUShUzZkylShVvatSozZgxI/D0\nLMmPP86kbdsO/P77amJjYylQwDVNkiAw+PkPHToQrVZLhQoVWbx4Bba2ma9s3xd27NiGnZ0dU6f6\nUb16LXx9WzFkyDdcv36VK1cuA4ajz19+mcs333yFhYVFpn1du3aFL7/sy549/4iQyIJ3BpOU/7hx\n46hTpw5ff/01z549Y/369YwYMYKgoCCGDx/OtGmv9pEWCN5mSpRwITbWA6XSYMiXnOz+misy5uUV\nY0Y4OTnj4GBw74uJiXplW71ez9Gj/siyTFxcLNbWNsyfv4hdu3Zw82YAFSpUAuD27UCsrW3o1Kkr\ny5YtokoVH8aMmUj16rWoVKmycRv76dMIpk2bREREuHGMIUP+j6dPI2jU6ENmzfoZa2sbTp06gV6v\nR6fTYUIYkHeS5OQkLCws04RVtre3R5ZloqMNEUs3bvyD/fv38O2342jXrkOmfY0b9y3W1tYsX746\nU9dNgeBtwyTlf/bsWUaOHImbmxv//PMPWq2Wrl27AtCqVStu3Mj5DGMCQW7h6qogMbEJkmRQ/hYW\nr4/o96YYov4Zto9T58nIjNQryfj4OFq3bsGpUycAuHr1krEuNjaWb7/9mqCg2zRubDDUu3LlMsOH\nDzZuV+v1Mrt27eCzz1qzb99ubt0KNLoaHj58gA8/rEujRrW4cycYgIYNa1K/fnVCQ833PPKK9u0/\nJzIyksWLFxAdHcWdO8EsWbIQV1c3qlWrCUDz5r5s3Lidjz/+5JV9zZw5jzlzFlC0aPFckFwgyBlM\n8vO3trY2RiLbuXMnHh4eVKpkWHXcv38fZ2dn80koEJiZvXsfoFQWR6MpgFodlu3+bGxsiYvL+Agg\nKioStdqwhaxWW5KUlPDKvjSatAaE8fFxAOlCB8vyi+/+/odp0+Yz1q1bCcCTJ2Fp2mg0yUyaNI6m\nTT9Kc4798iq/Zs3atGnzGS4uLq+U8V2kalUfevfux5IlC1m7diUAzs75+fnnX422G4ULFzGpr5e9\nKgSCdwGTVv6NGzdmwoQJTJ8+nU2bNtGxY0cA/vrrL8aOHUvz5s3NKqRAYE6USj358495rvgzNurK\nyu53Zoo/hRSF/jrFnz+/C+7uhUwac9Cg4UZF/uzZUwCGDRuJQmEos7CwoHr1mowaNRZJkvDwKIiN\njQ1HjpzmyJHT9O8/CIVCYUw6BDBr1s/Ur98wXcbB94E5c2awZMlCOnbswrx5i/jhh5/In9+FoUO/\n5MGD+3ktnkBgdkxS/j///DOOjo58//33NGrUiAkTJgAwbNgwSpcujZ+f32t6EAjeXjp3rsgLpf/2\nnHFHRIRz926QSW0XLJhjXLknJBgmFSqVisTERONnvV5m8+YNuLsXZNWqPxg5cgxgsFX4668N6PX6\nVxq2vS+Eh4fz11+baNv2MwYPHoa3dzUaNfqQefMWodEkGxMpCQTvMyYpfzc3N/bv309CQgJ79+7F\n0dFgQHTu3Dn279//Xm4LCv53iIh4hCSlz8D3Mnlh+6ZS1U1X1ry5L7Nm/czs2b+kKc+Xz5A3wNe3\nFQABAQZPgnbtOhAfH8/Zs6e4fTsQvV6XJo3xnj3/EBYWhp2dPW5uL4wdv/9+bBrjwPeF0NAQZFmm\nUqUqacrt7OwoWbIMQUG380gygSD3MNnPH+Do0aNMmjSJ//u//+PevXucPHmSkJAQc8kmEOQKLVu2\nxtIydyew9vb2r6yXZdDrLXny5GNk+cXEw9rahv79B1GggCvr1q1GkhTG7f6UVb6joxMAly4ZIvXt\n3Pm3sd98+ax4/DiUsWNH4e9/GK1Wy++/rzHW+/hUM34+c+YUgwb1M9oZvC8UKVIEpVLJxYvn05TH\nxcUSFHSLwoUL55FkAkHuYZLyT0hIoHXr1jRo0IA5c+awdOlSwsPDmTNnDlWqVOH69evmllMgMBv7\n9x8hKSmcjM779Xrz+G1HR0dnWvciWZAGR8fxacrj4+Pp0OETBg7sTYkSnsiyHlmWadGiJXXq1ANg\n4UJDPI5btwIB0Go1SJLEiBGjKV++AgBKpYLly39l6dJFxMfHMW3aTH79dTm1atV9PrbE5Mk/8vDh\nA7Zu3ZLj95+XODg40rlzd7Zt28K8ebM4d+4MBw/uZ9iwL0lIiKdXr/55LaJAYHZMsuT59ttvOXny\nJEeOHKFmzZrGc8G1a9fi6+vLd999x9atW7MtTEREBO3bt2fFihWUKFEi2/0JBKawc+eu5wo3/b6+\nQvEi6l/uB71LfRShIEU+lUqFvb0jBw7seb7yhyFDviE4OIj//jtKXFwsw4YNwtXVsJuh1+v55JM2\ntGnzGa1ataFly6bExcUSHBxEXFwc4eFPGDt2ZLrRhw37EqVSRWDg++fKO2DAINzdPdiyZSPbtm3B\n0dGR8uU/YNy4yRQrVjxbfb/v0REF7wcmKf/169czY8YM6tatmyaQiZubG+PHj6dfv/QhQ7OKVqtl\n4sSJxnNLgSC3sLOzMX6WZQskKeP4/C+n+M0ukiRlIYiOgvj4JhQocJb4+AhCQh6iVquRZT2lS3th\nb2/PiRPHjH3ev3+Xs2cN5/ru7h58881oAHQ6rfEeDJEB5/Lw4QOuX7+Kt3c1Hj16yIwZUwFYunQV\nAwf2NR4jvG98+mk7Pv20nUlte/fuT+/er98R2LJlZ3bFEghyBZOUf1xcHK6urhnWWVlZGc8as8P0\n6dPp3LkzixcvznZfAkFWOHPmP+PnzBS/Ocha9DwJS8u7KBQSCoUCtdqCpCTDe1elijc//zybTZv+\npEwZLwIDbzB79i9s27aZDRv+4PHjUPbu3YWVlRXr168jPj4eSZKoWtUbT8+SJCQksGbNCqytralQ\noaJxxEePHqLVaqhWrUYO3/nbgSzLnDt3k6NHo9BqFZQqJePrW/l/wuNBIDBJ+deqVYt58+bx0Ucf\nGctStrZ+++03atTI3o/Dli1byJ8/P3Xr1uXXX3/NVl8CQVbYunUTMTFvl0W7JGXkWaBBpbpBSvqA\nFMUPsHnzn7i6ulOlijcXLpyjXbuOFCtWnJMnj1OggCvPnj1l2rRJWFhYUrx4cRQKBTqdnv79vwSg\nQoUPqFevAStWLKVZsxbGfqdNm0ytWnWoW7e+me8499Hr9Uyffpjjx6ujVBqs/v39k9i16wjjxpWm\ncOGMFzsCwfuCJJuw/Dh79iwNGzbEw8ODZs2asXjxYnr37k1AQABnzpzh4MGD1K5d+42F6Natm3Ey\nERAQQIkSJVi0aBH58+d/4z4FAlPo3r07p06dNnkV/rYc51paWpKUlIRCocDd3Z2IiAiKFy9Oly5d\n6NSpEwB79uxh2LBh1KhRA51Ox7Vr10hISECSJGbNmoWvr6+xv6SkJJYuXcqmTZsICQkhf/78dOzY\nkS+//PK9XAmvXPkfv/3mjVKZ/pixXLkDLFz4YR5IJRDkHiYpf4Br167xww8/cPjwYSIiInBwcKBe\nvXqMHz8eb2/vHBOoe/fuTJ482SSDvydPYnJs3PeVAgXsxHN6Bffv32P58sXs27fHpPa5q/ytkeV4\n47glS5bm3r07aDQaYwtXV7dXnjOfOPEfq1f/ZvRd9/auRv/+X1K8eMbv1/nzZxk6dCATJ05h6dJF\ntG//OR06dDLWHzq0nwkTvkt3nbt7QTZu3AZAhw6tCQ3N2AVYkiQ2btyOm5s7Wq2WLVs2sHPndh49\neoijoxM+PtXp3/9LnJ3NO/H/6qtTPHjQMMM6Wb7HjBnxlClTLFtjiHfPdMSzMo0CBexyrC+T43aW\nL1+eP/74I8M6jUaDWq3OEYGEpawgNylSpCh37wbntRiZEP/8CMBgxBcc/BSVSgm8UP6vMzCrVasO\ntWrVMXnEqlV9+PvvvXz33QgePXqYrv7mzRvkz5+fH3+clWa3JCVfAcC0aTPT5SQICQnhhx/GU6dO\nfWMgoQUL5rFt22a6dPmCqlV9CA0NYfnyxZw9e5pVq/7A2toGc/H06at++opw+7Z/tpW/QPA281rl\nHxAQAICXl1eG9Zs3b+bbb7/l1q1bOSLQ6tWrc6QfgcBUfH0/ITBwlkkR/HLa4v91Yz3/BEjodBHo\ndIbxlUolOp2Oli0/JDk5mZIlS9OtW0/q1WuQpo8nT8L45Zc5nD17muRkDVWrejN48HCKFCmapt2x\nY0dYsWIpt28HotPpUKstMjwKuXEjgHLlylGuXIVM5S5dukya7zqdjjlz/PDwKMj48ZMBiImJYcuW\nDXTp8gV9+/6fsW2xYsUZOLAPu3btpH37jqY/rCzi6KglPj7jOll+SIkSBcw2tkDwNpBpkJ+QkBBq\n1apFhQoVqFChArVq1eLJkyfG+osXL9K4cWM6dOhARERErggrEJiD8PC4PAnd+ypeyJPyiqYVMMXl\ntly5Dxg//gd0Oh3fffcNjRrVYuDAPpw6dYKEhAS++moAgYE3GTHiOwYNGsr58+fo0qU9zZo14Ntv\nh3P//j2OHz/KmDEj8PAoiE6no2xZL3Q6LbIss3jxAo4e/dc4bmDgDcqVK5ele9m8+U9u3LjOqFFj\njRnzYmNjaNOmPU2aNE3TtkQJTwDCw5+k6ycnqV1bj16fsWdHqVLX8fIScUYE7zeZKv9Ro0Zx6dIl\nxowZw7Rp0wgKCmLEiBEAfP/991SvXp1jx44xcOBAAgMDc01ggSCnCQ9/M1fVlLC7qcPvppRnh7TX\np6Th9ciw/sSJY0yc+B0REeE0b94ClUqFWq3m668H07Llhzx4cB9bW1ssLCz54481ODk5oVKpqFGj\nJteuXaFbtw6MGjUctVpN+fIVWL/+L5YuXU3btp8BkJj4IvNgWNhjIiOfcefOHXr27ELjxrVp08aX\nxYsXoNVqM7yX6OhofvttCU2bfkTVqj7Gcg+PggwfPorSpcumaX/w4H4kSaJUqTIvd5WjdOpUDW/v\nvej1kcYyWdbi7PwvgweXNOvYAsHbQKbb/gcPHmTChAmMHm0IDlKhQgW6devG119/zdy5c2nWrBnz\n5s3L9DhAIHhXCA6+lOVrMlLwL08AcvJ4QK1+YUCXul9raxsSEuIZM2Yizs752bt3NxcvnsfCwhKV\nSom7uweOjs6MGjUMhULBhg3b8PP7kQsXzhtj9suyjI9PdX799RdiYmJwdXVLkw8ghZs3A5AkiTt3\n7tCrV1/s7R04deoEf/yxhvv37zFlyvR012zZsoGEhAR69Xp9ILCgoNssXDifEiU8adSoyRs8JdNR\nqVRMmNCEY8euceJEHMnJCjw9dbRuXRFra2uzji0QvA1kqvzDw8OpVauW8XuDBg2Ijo5m8eLFrFix\ngh49euSKgAKBubl7N2vha01Z2WdH8Wfs5y+RUfjhhIQE5s5diLd3Nfz9DyPLMjY2NtjZOfD4cSjl\ny3/Ad99N4KOPGgIS7u4euLq6cvLkf/To0YcTJ/7jxo3rfP55V+ztHdiw4XfAkBnwr782pRmrYsXK\nTJ8+h8aN65IS16tqVR8sLCxYsWIpAQHX8PIqb2xvSBW8kUaNmqSzMXiZa9euMGrUcKysrJg2bSZK\npTKLTy3rSJJEvXoVqFfP7EMJBG8dmW77azSaNDNgGxuD5e306dOF4he8V3h4vAu7VxnPOGRZz+rV\nKzh79jSLFs1HkiSsrW0IDX0EyNja2qJUKtHr9ciy4QjBwcERSZJo06a9MT23jY0tKpUKnU7Hn39u\no2vX9O+4g4MjtWvXxc4urbtRvXoNkGWZmzfTTqLOnz/L06dPadGi1SvvbO/e3Xz11QDs7Oz4+efF\nFCoksuoJBOYmSyl9gWwF8xEI3kZiYzPPsJdXSBLo9ekD0EhS+tTD586d5qeffqBw4aLIsszjx6H4\n+rYyus1GRUWSnJyMk5MzAAqFIQ2wo6OTMYDP/v172LPnH9q165BpcK1Lly6wfftf6cqTkgyGcy/n\nADh69F/s7e2pWTPz34zlyxfzww/jKVeuAosXrxCKXyDIJbKs/BWKLF8iELzVFCpUyuS2pm7n54T3\ngFKZmGY8w+f0oYjVajWDBg3lxIljz8eW2bFjGxqNhp07tzNlykQA45Z8fHwcarWaKVMmGHPar1+/\nFk/PUnTr1itd/5MmjeP48aNcunQBP79pXLx4MU393r3/kC9fPj74oGKa8suXL1GhQqVMfzNWrlzG\nypXLaNr0I+bOXYi9vYNJz0UgEGSfV/r5z5o1Czc3N+BFEpIZM2ZQoEBaH1hJkpg3b56ZRBQIzIuv\nbw0uXtxlUtu8cAlUKlXo9Rlb0wMkJydz/PgxbGxsiY+P4/vvp3L16mU2bPgDWZY5efI4VlbWxmO8\n+/fvYWVlzcGD+42R9Hx9W3Hu3Bn69u3OsmVriIx8Zuw/JXFX69Zt2bbtL4YOHUrPnv1wdXXl338P\n8fffWxkwYFCaqHyyLBMUdIvq1WtmKPOtW4GsWLGUIkWK0q5dB27cCEhTnz+/C+7u7m/2wAQCwWvJ\nVPkXLVqUU6dOpSkrVqwYJ06cSNdWKH/Bu8zJkznvqpqTlv6vUvwp/POPwTq/cOEifPhhcyRJwYYN\nf5CYmMjAgV9x/Pgx7t+/x4kT/3Hq1AmUSiX58uVDr9djYWFBePgTfvxxJr17d2P79i1cvnwx3Rj2\n9g4sXLiUNWuWsXz5YqKiIilatBijR4/H1zftuX5UVBQ6nQ57e/sM5f3334PIssyDB/cZNCi9J0CH\nDp346quvTXk8AoHgDTA5tv/biIgF/XpEzOzXU79+dfT6nH0NcjtKtSQpkCSYNetnbGxs+Oqr/yMp\nKRE7Ozvs7OwpV64Chw8fAAxHd507d+Off3bw9GkEDRo0wt//ME2aNOPgwX3PQx7foXDhIjx4cB9J\nkpgxYw61axvM4sX/KdMQz8l0xLMyjZyM7S8O8AX/0/Tt+4XJGf1MxZyK387OjgIF3NKVy7KewoWL\nMG3aJPr370lSUiIlSpRk8eKVlCxZmuPHj6HX61EqlbRr14E1a1by9GkEarWaESPGMHHiFK5evYxe\nr+fBgzAcHZthY9PWfDciEAjyFJMT+wgE7yOBgVnz8c9rYmJiiIlJu0JSKBTo9XoePXpojLTn6VmS\nu3fvMHPmjwwYMJhu3Xry9Gk4//yzgx07tqFUKtFqtRQo4EpQ0C2ePHlCeHgkKlUFHB3XIUlqQkNP\nA4akQu/u/qBAIMgIse3/niO2017Nzp3bWbPmT+7fz7lJQF4kpqxSxZuePfvy9deDjWUGpS0jSRKS\nJGFjY8uuXQcBQxyPTz5pjk6nQ6/XYW1tR0JCM2xtv0aSXsT3SE4+QVRUXwYOHEnXroZEO+L/lGmI\n52Q64lmZhtj2FwhyiJYtWxMfn/D6hlnAPNNpKdN+K1aszJ07wcyc+SO7dx/C3/8U/v6n+O23tUiS\nxMiRY/D3P2VU/GBwD7Szs6N69ZocOHCMRo0mY2c3Lo3iT82VK+KHWSB4nxDKX/A/z9OnD/JahHS8\nnCdAllXpylOoXbsuvr6tePjwAVu3bjGWZxZ8JyOSkl79U6DRiJ8KgeB9ItMz/3PnzmWpI29v72wL\nIxDkNlu3biIlc15Okd1t/xQFn1bRa9LUpx7j3r277NnzD/nyWaWxYcgs+E5GFC+u5dQpLZKU0U+C\nhJvbO3s6KBAIMiBT5V+tWjVjeNCXSTlHTE1KfnGB4F3izz9/z2sRsk2NGrW4ePE8ISGPePbsGadP\nn8g0+E5mfPppRfbv/49nzxpkUCtTs6bIby8QvE9kqvwPHTpk/BwcHMzAgQPp378/7du3x93dnYiI\nCHbu3MmCBQtYuHBhrggrEOQ0trY5Z0CTU2Sc1S9tfWpCQ0Po1q0Hfn4/Ehh4g9Gjv8kw+E5oaAgd\nOrQ2fpdlmZCQR9SvXx0AFxdXihYdQ1BQOZKS/iIxcTuy/BiQOX/+LA0aNE4z7qVLF1i5chk3b95A\np9NRsmQpevXqh49P9Ww/A4FAYF5MsvavV68eTZs25fvvv09XN336dP78888sHxPkBMI69PUIK9pX\nc//+Pfr165HOfS675NTWf1b7fnlHrk+fAfTs2ReAs2dPs2DBPO7du4taraJixSq0bduey5cvsXbt\nSgYPHkbbth3o3r0zDx7cQaFQ4OJSgIIFC3PhwlmGDRvBZ591okABO/z9T/Dll32pUsWb9u0/R6lU\n8tdfmzh+/ChTp/rRoEGj7D2A9wDx7pmOeFamkZPW/ib5+Z87d44JEyZkWFe5cmUmT56cYwIJBLnJ\n2bOniI19+350XrX6TylP0fMKhYIWLVrRsmVr1GrDKz1z5o+EhT2mWbMWAFy5cpmRI4dRo0ZNNxz3\nJQAAIABJREFUBg4cTHR0DEuXLmTOnJnExETz4YfN6dixC2PHjuLBgzuUKlWGQYOG8uRJGMuXLyZ/\n/gJs3Liezz7rBMCaNStxcSmAn988VCrDmDVq1KJHj86sXv3bW6v84+Pj6N27G+3bf06HDp0ybJOc\nnEzv3t1wdnZm/vxf09Tdu3eXRYvmc+XKZfR6HeXLf8DAgV/h6fkiOZRWq2X16t/Yu/cfwsLCcHf3\n4JNP2tKpU9dMj1IFgtzGJOXv5eXFqlWraN68eZpyvV7PggULqFy5slmEEwjMzYED+/JahExJ0ROv\n25uzt7dnzJgXk/NNm9Zz61YgM2fON6bIXbduJS4uLkyZMsOorJ2cnBgy5P+wtrZh2LARBAbexN/f\ncNxXp049Y1KesmXL0aNHJ6ysrIxjlCtXnmrVahj7AlAqlRQtWoyrVy9n887NQ1RUJN99N4JHjx6+\nst3ChfO4ezcYZ2fnNOWRkZF89VV/bG3tGDFiNGq1BStWLGXQoP6sXPk7bm6GRESTJo3D3/8QXbt2\npWrVmsYJ1K1bNxg//gez3Z9AkBVMUv5Tpkzh008/5eLFi7Ro0QIXFxfCwsL4+++/efToEfv2vb0/\noALBqxg1aiyff94BSXp7DVYzmgSkXkB6eBQyfg4Le8zixQtp0aIlNWrUMpYPGzaSuLi4NMo6MPAm\nAE2aNMXBwZFTp04gSRL16jVg27bNeHtXo3z5Cty7dweAIkWKGa/t3j196t+oqEjOnz9LhQofZOd2\nzcLBg/v55Zc5JCcnv7LdqVMn2LFjG05Ozunqjhw5zLNnz/Dzm0eZMl4AlC3rRZs2vuzatYOePfsS\nGHiTw4cP0LlzN8aOHWvcyi5bthw9e3amVas2VK3qk/M3KBBkEZOcdz/++GOOHDlCmTJlWLt2LRMn\nTmT9+vXUqFGD06dPU6dOHXPLKRCYhSJFiqJW58trMUxCkl78pebmzRssWvQziYmJ/PrrLyiVCgYP\nHpamjZubO56eJQFISkrk4sXzLFu2CKVSyaBBQwFwcnJGlmVq1KhF8eKeDB8+iI8+asT48aMxuPtl\nnmJXq9UyZcpE4uPj6NGjT47ed3YJDQ1h0qSx1KpVhzlzfsk0l0NUVOTz3AiDyJ8/vYdEcnISANbW\nNsYyW1tblEol0dFRANy5E4QkSdSt2zDNtSVLlsLBwYGjR/1z6rYEgmxhcmz/WrVqsWXLltc3FAje\nMWQ50Qx95l6YX7XainXrVrFu3SpjWcuWTY2fUxv93bt3l+7dOxpdc93c3HnyJAw7O3uqVPGmYMFC\nzJnjh6WlJS4uBYiMfIZer0en02WY5hcgMTGR8eO/5eTJ4wwbNpKKFd+uY0AHB0fWr/8LD4+ChIaG\nZNpuxoypFCtWgo4dO7Nr19/p6ps0ac7vv69h3ryZfPPNaCwsLPj1119QKJQ0b+4LvJhAhYSkPVqI\niookJibmtUcOAkFuYXLYrqioKKZMmULjxo0pV64cV69eZfr06ezevduc8gkEZmXr1k1miVFhHsVv\nkWGpu3th2rXrABjC9s6Zs4DFi1dQunQZHBwcjEZ/kZGRDB7cj/z5XahUqQqSJPH4cSj9+/fi8eNQ\nVCoVDRt+iF6vJyEhgSdPwlAqldSuXQ9JkoiMfMbx48fSjB0S8ogBA3px5swpRo0aa5TjbcLKygoP\nj4KvbLNjxzbOnj3D2LETM23j5OTEt9+O4/Lli3To0JpPP23Bvn27GT9+El5e5QFDjoXChYuwcOF8\nDhw4QFxcLEFBt5kwYQxqtZrExJwNJS0QvCkmKf87d+5QsWJFZs+ejb29PTdv3iQpKYlLly7xySef\nsGvXLnPLKRCYBXMZ/Jknvn/G59Xly5eiVKkyAFSp4kP16jW5du0Kt24FMmHCFKPR35Ejh4mMjOSn\nn2YRFxdHnTr1KFmyFImJCezatQOAuLgYJEmieHFP1q7dyD//HOSnn2ZhbW2I+X/58gXjuNeuXaFf\nvx48fhzKjBlzadXqU3PctNl5+PABP/88m6FDv8HVNX265BQOHNjHyJFDqVSpKn5+85g162caNGjE\n5Mnj8fc/DIBKpWLOnIWULl2WwYMH06JFYwYO7E316jXw8ipPvnzvxhGT4P3HpG3/oUOH4uHhwYED\nB8iXLx8WFoYVyLp169BoNEyePBlfX1+zCioQmIOqVatx/vzZdyRlrRpJckCWI4AXAhcqVJgVK5YA\n0LbtZxka/R0+fIA7d4IAQyyA4ODbtGjRkqCgW9y+fYvo6Cg0Gg2JiYnIsoxKpaR4cUNUv4iIcOLi\n4gCwt3cEICjoNl9//RU2NjYsWLCUYsWK59IzyFn0ej1TpkygalUfmjf3RafTGW0CZFlGp9OhVCoB\n+O23xZQoUZKffpqFQmFYN9WoUYthw75k1qwfje6N7u7uzJo1n3z5ICAgmIIFC2FhYcHWrZspWLBQ\nhnIIBLmNScr/4MGDrF27Fltb23RbpAMGDKBNmzZmEU4gMDf79r1Lu1YaZDk8XemyZb/i5OSMJEmM\nHTuSevUaolQqcHJyNkbvS23k1qtXVwAuX77ImTOnkCSJ5s19UavVnDhxDIVCwa1bgUyaNJZmzXxZ\nutQQwdPS0hJHRyfatm1LQEAAer2eihUr8fRpBLGxscb+lUolXl7lzPkgcoywsMdcuXIZSZJo1KhW\nuvrGjWvz3XcT8PVtRUjIIz7++BOj4k+hShVvzp07w7Nnz7C1teXQoQN4eXnh41MxzQQqLOwx5cpV\nyJX7Egheh0nK38LCgoSEjM+qnj59iqWlZY4KJRDkFm9jeN/MsLS0fJ6pL+02hVptwdOnEYBhVX/s\nmD/du/fi00/bkZAQz9Gj/kREhKPT6bCzsycmJhrA6NPfv/+XeHmVR6/XU6hQEa5du4JarWbfvj3s\n27cHgHz58tG370CmTp1I8+bNuX79OpIkcfz4MY4fP5ZGIdrY2KZJH/w24+JSgGXL1qQrnzRpLNbW\nNowaNQZ3d4O9QLFixbly5XK63CaXLl3ExsYWBwcHFAoF8+fPpGHDJvj4/Ghs8/vva1CpVNSuXc/8\nNyUQmIBJyr9ly5aMGzcOHx8fPD09AcOPzNOnT/nxxx/56KOPzCqkQGAuJkz4gb59exIbG52j/ZrD\n4C8pKQmlUplu9y31WCkr/G3btrB27Sr0eh0NGzbm+vVrPH4calT8qVmyZCFLlrzIzyFJEhqNBpVK\nhY2NLVqthvj4eBYsmIuTkzPz5s0jPNyw0l+7diVLlixk06a/X3le/raiUqkoW9YrXbmlpSXW1tZG\nf36A/v0HMXr014wcOZR27TqiUCjYvXsnZ86cZPjwUcYJ0GefdWLlymWUKlWCYsVK899/R9m48Q/6\n9BmAu3vm7pICQW5ikvKfNWsWjRo1okKFCpQuXRqAPn36EBxsiILl5+dnViEFAnNRpEhRNJqkvBbD\nZDLyTEhKSiu/LMtotRp0Oi2SJHH48MF0W9UNG44kLk6Bg4OOoKBt3LlzCzAErQkIuI6nZ0m8vauz\nffsW+vQZgKurG5MmjePp0wjmz59Ply69AbC3dwAM3kDvivKXJMmkydnLoXhr167LnDkLWLVqOd9/\nPxaVSoWnZ0n8/OZRs2ZtY7sePfqgVKrYtGkTYWFhFClS1Hh0IBC8LZiU2AcMvryrVq3i8OHDRERE\n4ODgQL169ejduzd2dnmzdSoSQbwekTDj9dSrVy3HDf7yMoR75cpVuXz5Inq9HoVCQcmSpbh9+xZ6\nvd7YxsXlMpJkmBDEx08mLu5PChUqTI8efZg2bRIVK1bi+vVrdO3ag379BgLwySfNefbsKRYWFvz9\n917u37/HhAnfYW/vwLJlq/PkXrOCLMtcuhRIeHgsVaoUJ3/+9FH8chLx7pmOeFamkeuJfcBw5jdg\nwAAGDBiQpjw2NhZ/f38aNMgoD7hA8PYjSWpkWZPXYuQYUVFRuLm54+VVnhMn/mP8+B/44ovPU7WQ\njIofICHhFAADBw6lUCGDNXpsbCxLl66mQAFXAEJDDUcG9vb2REdH06KFIb1vsWLFmTFjTu7cWDY4\nefIma9Y84969D5AkBywsAqhW7SrDhtUQNkuC/0lM8vNXKpX06dMn3fYiwNWrV2ncuHEGVwkE7wZx\ncUXyWoQcJX9+Zzp37v7cO0fLP/9sf6mFTFLSvyQnHyEqahh6fTBK5QfcvZuP0qXLkC+fFXfu3OHI\nkcMEB99m164dDBkyAL1eT3R0NFWrVuWXX5Ywduz3aDQahgwZSFRUZJ7cqyncvHmfuXOVPHzYCKXS\nBYVCjVZbkePHmzJ9+vG8Fk8gyBNMWvnLssy6deu4cOECmzdvpnjx4mYWSyDIPSwt07vPpUfiZSv7\nt5UnT54QGhrC7t07qVu3Pv/8kz5UbUzMCAxxA2wABfb2M4iOvguAo6Mj+fJZsW/fbtauXYm1tQ2R\nkc8AKFDAjYULF6LTqalcuSqVKlWhS5f2rFu3mi+/HJKLd2k627c/IjGxUbpySVJw/nxZgoMfUKJE\n4dwXTCDIQ0wO77tu3ToUCgXe3t7s2LHDnDIJBLlKvnxeREc3emUbrdaFhIQSJvcpy9mP8pcSXCar\n3Lt3l99/X41Go+HEiePEx8en6tNgvW5t3Z/8+Y8AyVhafoRSWQhXV4PAkiRRtGgx/vhjCwcP/sfS\npavo1as/kiSh02lp3749z54ZJgMFCxbCzc2d4ODb2btZMxIc/Ko1jicnTz7KNVkEgrcFk5V/kSJF\nOHr0KK1bt6ZNmzaMHTsWWZbTWRG/CVqtllGjRtG1a1c6duzIwYPvho+w4P3g+vUIHj9uQ2DgEgID\ntxAYGPDS32WCg/15/LgjDx4szjW5Ulv2p0wmUv9lhpWVFfXqNTLGkk9t6KfTBQKg0VxAozmNXh+B\npeWn2Nmd5JNPMk7F6+FR0Bi9rmnTjwgJCWHHjq2AwRYgLOwxhQq9vUcnKlXmD0uW9Vhavhs7OgJB\nTmKywR8YfF9XrlyJt7c3I0aM4NSpU4wdOzbbQmzfvh0nJydmzJhBVFQUbdq0oUmTJtnuVyAwBb1e\nATwCagCOQAyQ2qpWCUSj0RR7Xm86OZHdLzNFn1nfCQkJHD162Pg9tfJ3dnbh6dPHJCcfJjn5MGCN\ns7PEkCH2WFtbo9VqiYuL5fTpkzRuXBtn5/xUr16T/v2/5MMPm7N162YkSeLq1Svs2rWD1at/w9bW\njk6dumXvJs1IxYpa7t6V07nuAVhZXaBp0/J5IJVAkLdkSfmnMGTIECpVqsTnn39O+/btsy2Er68v\nLVoYMo/p9XpUqjcSSyB4I1SqBLRaDeAKBALVgEhenPPLgA5IxsbmSK7LJ0kZTwDeZFLx9OnjNN+d\nnR1YsqScMXHPggXziI6ORqVSodVqiYqK5ODBfZw5c4qVK3/H0tKSnTu3c/z4UW7fDqRqVR/69Rto\n9Ap4G+nYsQJnz+4nJKRpmgmALIfTsmV0nrkqCwR5iUlatmHDhtjb26cpa9SoEadPn6Zt27ZcuHAh\nkytNw8rKCjC4Fw0dOpThw4dnqz+BICuUKePItWtPMCj4WOAJYPO8VgfYArcAFfHxNYzXpeiR3EgK\n9PIEwBTFn6LAU2NhYUFycrIxUmB8/DPjZDsmJoZNm/4EoHlzXx49evg8nK2W0NAQfvxxMufPn6NS\npUrMn7/knZmk29vbMXXqB6xZc5ALFyxITFRSsGASzZpZ0aJFzbwWTyDIE0wO8pMZycnJhISEUKxY\nsWwJEhISwuDBg+nWrRtt27bNVl8CQVZo0uQbDh1yAAYD/wF6wBmo9PzzHuAqUASl0hZPz++z1H9e\nBvwBsLW1xcLCArVajYeHBxcuXMDKysqYr2Pu3Ln4+vry4MEDOnXqhLW1NXv37iU5OZnly5ezatUq\nnj17ho2NDZ06dWLw4MHGnYJ3kZdj8wsE/4tkqvyHDBnCiBEjKFq0KEOGvNqFR5Ik5s2b98ZChIeH\n88UXXzBhwgRq1UqfWSszRESo1yMiZ72eypX7EhLyLXAQ+BxwA7RAAJAAuAOngQgUio8pWbKFyX1n\npmNS3rq3QQcplUrs7OypU6ceN24EYG1tzaJFyzl//ixDhvxfmoyAqZWmt3c15s1blBcivxOId890\nxLMyjZyM8Jep8i9RogRbt26lcuXKFC9e/JUzZUmSCAoKemMhpk6dyq5du/D09DTOypctW4aFhcUr\nrxP/WV6PeKleT6lSnxEdvQg4BnR6qVYBJAIPgAOo1eUpXnzAy11kysuvTWb7bFmdBJhqSPjpp+3Y\nuXM7Wq0WpVKJUqkkOTkZNzd3Hj8ORalUMmrUWG7fvsWGDb+nu97a2oaEhHhUKhV2dvbG7IFpZZeQ\nJImNG7fj5ubOyZPH8fObxuPHociyjI2NLZ06daFnz37G3xGtVsvq1b+xa9dOIiKe4O7uwSeftKVT\np67vzapcvHumI56VaeRKeN/g4GDj5zt37uTYgBkxduzYHPEaEAjeBL3eETgEFMLwSuh4EdBHj8Ha\n3wrwpGDBiXkiY2pSTyBet4Nw/Pgx47m/Tqczug8+fhwKQLt2HfH1bUXnzi8Md9VqNRqNIdxxfHwc\nCoWCBQuWolZbcOvWTX766QdAQq/XMXr0BPz8plKnTn3c3Nw5duwIo0d/DUCzZi3w9CzFrl1/s3z5\nEmJiYhkyxFA3adI4/P0P0a5dR+rUqceTJ2EsX76YW7duMH78Dzn1qAQCQSaY5KTfpEkTAgICMqy7\ndOkSVapUyVGhBILcRJKSgYcYFH/y81Ll8z8VYAFE4+DwLxYWoVnq21Tf/KxY3kiS6TsKYWGPMyz3\n9q4GwMaNf9C1awcePrxvrEtR/Cnx//Ply8e0aZOxsrJi4cL56HQ67OzskCSJzZv/xMOjIOPHTwbg\n119/QZZlunT5ggkTfqBbtx6sXbsRBwcHNm/eAEBg4E0OHz7A5593YejQb6hevSYff/wJM2bMZe/e\n3Zw/f9b0hyEQCN6ITFf+27dvN64YDh8+zPbt27l27Vq6dvv37+f27bc3updA8Dri49VAcSAJiAZc\nUtXKGFz+zuPkZN7gUzkRE8BUzp07Y/x8/74hrK9KpUar1aRa+ctYWFig18vcuRNEt24d0Gq19O7d\nG1CxYsVSAgNvMH/+r0aPnQcP7lG/fiM6d+5u7F+SJFxcChAVFYVer+fOnSAkSaJu3YZpZCpZshQO\nDg4cPepP1ao+Zn8GAsH/Mpkq/4MHDzJ//nzA8PKOHj06005eVScQvO3odEkY3PmeAeeAUkBKKN9k\n4ChghU5nhVr99iawye7kwRDr4MXKX5ZlkpOTqVWrDrdu3TSG9M2XLx9RUXHIskyTJk3TKGonJ2fi\n4+NwdDQEQzLECdhPUNBtJEkiPj4eJydnZFkmJOQhlSu/2DWMiookJiaGR48evvlNCAQCk8hU+c+Y\nMYPhw4cjyzKenp5s2bKFqlWrpmmjVCpxcHAQQTIE7zgawBqDO583hu3+YxhOxaKBe8BnhIY+xNb2\nNC4up7M8QmaBerJLTvYrSRKyLKNUqtDpDLt+CoWCZs0+5tSpE+j1eqpVq8GqVasoW7YcAF279kzT\nR6tWn7Jy5TIWLpxPoUKF8fObZjTgkySJxMQEqlTxpnDhIixcOB9bW1uqVvXh8ePHzJs3yxiSWCAQ\nmJdMlb+FhYXRdz84OJiCBQuiVqtzTTCBILewsFCQnJwE9ABuYngtEoAwoAjQCAhEo3mKpeWdNxrD\nnIGAcuKoYPr02cyfP5uHDx8YFT8YIm7+8MM4wBDe293dg0uXLnDt2hUAChdOmw2vV69+KBQK1q5d\nSVJSEpIkUbJkKUJDQ4mNjSEhIREXFxVz5izEz28aY8aMRJZlrK2t6d69Fzqdlnz58mX/hgQCwSsx\nKURXsWLFCAgIYNeuXcTFxaWJFQ6GGf348ePNIqBAYG40Gh3ggMG//zpQHYNf/xfPW2gx2AM4YGu7\nIUfHfpXifnnCkDUln7UUxHXrNmDjxvU8fPggXd0HH1QiKOg2Xl7l2Lt3F40bN2bPnj0ZuuRJkkTP\nnn3p3r0XDx8+wM7OHicnJ/z8prFt2xYOHdrHF1/0xt3dnVmz5hMbG0t4+BMKFiyEhYUFW7dupmDB\nQlm5UYFA8AaYpPyXL19O//79AUO0sJcz+QnlL3iXkeV4DNv+KqABMBOoiSHanwYoBligUCSj0RTA\nwiJjC/qsknrL3hTr/awEBjLlOCAlxC/A2LEj01jZjx49nunTpyDLMkWKFOPKlUucP3+WsmXLYW9v\nj6WlpdE2IDX//nuQCxfO06tXP4oWfRH18/FjwzMLCwtDo9Fw6NABvLy8KFq0OLa2tgBERIQTFvaY\ncuUqvP4GBQJBtjBJ+U+bNo22bduyfPlyHBwczC2TQJDLKDFk8nsCnAG6YDD402FY9R8FCqDXO6FQ\nJGfaS1Z5UwM9U64zJWp36pTB//57KE2dwZffQGhoCJIkYWtrS0DANQICXnj9tGjRGMAY5Offfw+x\nd+8unJyc+eKLXjx5Ekb37h2Ji4sDoEyZsqjVaubPn0nDhk0YOXKMsa/ff1+DSqWidu16r5VdIBBk\nD5P8/B89esTgwYOF4he8p1hj2Na/BjQEngJHgFPP/7yAUEBFVNTLEQBzhpdjAWTky/9y++ySL59V\nujJJkvj88y54epYGQKlUUaRIESRJYurUGYwbNwkAZ+f8SJLEd99NQKlUUq9eQ9zc3OnZsy8KhZJl\nyxYxceJ39OjRmdjYWADKli3Hxx9/AsBnn3Vi587trF27knPnzvDLL3PZuPEPevTog7u7e/ZvTiAQ\nvBKTEvvUq1ePDh06MHTo0NyQyWREOMjXI8Jmvh5X1y7AAgyx/QsBZYCiz2v1wEUgHpBxdd2Ag8Pe\nHBv7Vdvzpmzdv6mxX0p4X4VCkc6GJ+NxDAOl/FykeAaULFma5OQkfvttndHX/8yZU4wfP5qYmGjj\n9XXq1GXSpJ+MbWRZZu3aVezcuY2IiHCKFClKhw6d8fVt9WY39BYi3j3TEc/KNHIlvG9qfvrpJzp3\n7oxWq6VmzZoZZvTy9vbOMaEEgtzFATiAwUCuApAfw06ABQbDuSrAceAR+fJlL331y2Q36t+bHh2k\nhPd9WfErFAqsrW2IjTX8EH/22ec0b+7L7Nkz0mz3t2rVBn//Q9y+HUi3bj0YNKgv9+/fx8nJifLl\nPyA5OYlu3XpSpYo3I0cOpXXrdkbFD4bJQ/fuPenevWfWhRcIBNnGJOXfoEEDAEaOHJnOwjclEU/q\n80OB4N3iPobzfgsM0f30GJS+hhdW8xWA31AotJl1kqOYKy7A69Dr9UbFb2HhwtatfxEQcN2o+C0s\nLPHyKku/fgPZv383AOvWrcbXtxWDBg3j7t07LFr0Mz4+Nfi//xssQvUKBG8pJin/Q4cOvb6RQPDO\nogYqAWcxKPx8vDCHSdHAEUAL1OqjZpcmLxS/hYUlPj4DuX69KZGRbbC27oNa3YCYmK+5cuWSsV3b\ntp8xevQIFixYTFKSwfixQAFXxowxJDzy8alOfHwcS5YszDSvgEAgyHtMUv4NG76Iwa3VagkPD8fF\nxQWVyqTLBYK3HCcgDsO5fhSG9L2hGAL9xAKRQH6cnHLexz8jX/6sJvnJuFx6jcW/HQYPBwPJyUkc\nPz4XmAuALCcSEzMSpbIEFhYfk5i4AmdnZ/bv383WrZvQaDSo1Rbo9QoKFHBN07O9vcEwOCoqyvQb\nEQgEuYpJ1v4AJ06coGnTptja2lK4cGEuXbpEt27dGDdunDnlEwhygSggZZUagGH1XwmDz387oDdg\njb19eI6PnGLV/zrr/szITL+/3o43I+MqG+OnhIRVKBQFcXBYhkZjSGgUFxfHoEHD0Ov16PV6kpIS\nqV27HgEB19iyZSNxcbEEBFxj7dqVlCnjRenSZbJ+QwKBIFcwSfkfPHjQuPqfOnWq8Yflgw8+4Kef\nfmL27Nnmk1AgMDOGHaxqGCL8PcGwE6DBkNQnCkgEmvDoUS8ePJibY+NmlOb3Tbb7c+6IIP75v4Yw\n3lrtGSIiGqDTGbL+VapUlaZNP6JBgwbY2NhgZ2eHv/8hfHyqM2fODFq0aEy/fj2wsLBgxow5OSWU\nQCAwAyYp/2+//ZbPP/+c/fv3M3ToUKPyHz16NGPHjmXJkiVmFVIgMCdarTOGTH7hQHkMRn8ugD0G\nTwANkIRGUxAbm/9yfPzUyvtNXfeyOgGQJMd0ZWp17eefUkfuM3xWKBRYWVmhUCgIDQ2lcmVv/vnn\nIDY2Npw+fZI+fQbwyy9LGDv2ezQaDUOGDCQq6u3NgCgQ/K9j0qH9lStXmDp1KkA6a//GjRszY8aM\nnJdMIMg1YjAE+okDSmOYE6f+f26P4dxfgZ3dHrNIkN3Ve1YnDbKcVjErlSoUitAM2hmOB/R6PceP\nH6V+/erIsoxCoWTy5AnExcWhVCrp2bMvAJUrV6VSpSp07tyOdu1a0qNHnze7IYFAYFZMWvm7urpy\n7dq1DOuuX7+Oq6trhnUCwbvDBeADDGf+GWENPM0wmU1ekR1bgZfR6bQkJQW9sk3qWP56vY59+3YB\nULx4CQCioiLx85tG795d0el0JCUlsWbNSgCSk9PnAQCYOPE7xowZmf0bEAgEWcKklX+PHj0YP348\nDg4O+Pr6Aoa44Pv37+f777+nd+/eZhVSIDAvegxK3xEIwRDOVybt6/EMlSoIpfJ/eys7I0PC27dv\n0aFDaxwcHAgODiYpKdFYl5AQj0KhYP78WTRp0tRYrtfrmTNnBgcO7MPGxoZmzerj6OiEj091+vf/\nEmfn/LlyPwLB/yomKf+JEydy//59+vTpY1z51K5dG1mWadeuHZMnTzarkAKBeUnCsLIPAVoD/hjC\n+5Z8Xn8euIuFhXBdS3EhtLKyxtLSksjIZwAUKVKMU6eOAylRAq2JjY3F0tKSpKQkwsOfEBb2GFdX\nNwICrjFv3kyuXbsKQP78LnzzzWhCQ0NYvnwxZ8+eZtWqP7C2tslUDoFAkD1M2vZXKpVwkFcEAAAg\nAElEQVSsWLGCa9eusWDBAqZMmcK8efM4d+4cGzduRK1Wm1tOgcCMKJ//ewVDgJ9mGNzeTmKYCBQG\nbqNQlMz4cjOQeis/o+39vDh9UKstjCt/d3d3ypYthyRJWFpa8ujRA5RKJSqVCgcHB7p16wVAUlKS\nccGQ4vc/fvxoFAoVsixjY2NL8eKe+PhUp2XL1kye/COhoSHs2rUz929QIPgfIktRery8vPDy8jKX\nLAJBHpGA4czfG0P63lIYXg0VBre/M0BnJGltrkqVkYLPjtJ/lVeBWq02nulnluxHo3mRzvjOnWCC\ng4PIl8+K5OQkli1bg62tLXv37mbq1ImsWrUs1VgSNja2Rr//6dNnY2Vlzfr1a9OlEi5RwhOA8PAn\nb36jAoHgtWSq/Fu3bp2ljrZv355tYQSCvEEGKmI4+y8G3MJg9V8cuAtYAfbo9SbHxHqryMiTIHXq\nYHjZmO/VWf6srKzQarVoNBoSExMAiI2NwdbWliZNmrJu3Upu375lbC9JCj74oJLxu6dnqf9v777D\no6jWAA7/ZnazKbtphJrQe5GOFOkiIlIsgCIo14IiKhZUQFABFRAULCDgVS8qKirYUFFaAJUmRXqT\nHlpIIAmpu5vdc/8YssmShARIAfK9z5OHZMrZM4dJvpkzZ74DwHPPjWDNGu90yZGRy9A0jZo1JUGQ\nEIUp179m586dIzEx0fO1ePFili5dSlJSEjabDbvdzqpVq1i+fHmOs/wJce0ohZHN7xhGOt+eGFP7\n+mNM79sO+AmHo+gm9SkohTFHQGpqKk6nE5vN5ln27rtvAzB69ItERR2lTZt2gPHI0OVysW3bP3m+\n93/w4AFmznyfatWq06nTzQVfcSGER653/itXrvR8P2XKFOLj4/ntt98oX768Z3lcXBy9evWiYsWK\nhVpJIQqX3/kvBdQBzmG8558RhZOBFrhc2RPjXK7imrWvoGiaRlJSkufnv/5axVdfzWXt2r944oln\nqFu3HuvWraZ795788stPpKSk8OWXn/PEE0/nWN6uXTsYMeI5/P39mTjxbUwmU47bCSEKRr76Md9+\n+21ee+01r8APEBoayqhRo/jkk08KpXJCFI0zwBqMu30nxgDAEDIz/PkDpdH1gpul7mKB/2Ld9MUh\na24Dk8nMzJkz+eCDjyhduozXujVr/kTTNBo1auJZ5nBkjhM4dOhAjuWfPh3NsGFDCAwMZPr0D4mI\nkJsJIQpbvoK/2+3m7NmzOa6LiorCYrEUaKWEKFoZg/piMV75C8ToBciIuMYzf6V24HIVzEyWeSXn\nycj7nzX/f0FfAFz4+b6+frnUJfODq1evjslk4pNP/kt8fBxKKc/v/5Ytm1FKsXXrP57tIyOXer6P\niKiUrezExHPs2bOLevUa8OGHcyTwC1FE8vWX7K677uLFF1/EarVy2223YbPZOHfuHN9//z0vvfQS\ngwcPLux6ClGITgPNMQb6+ZPZ3Z8x8E0DjgNlMZkK7rn/lUzik59xAZdafkZynotNB/zvv/t44okn\nCA0tRXq60RbNmrVgy5bNBAeHcvr0KWbPnk7z5kYa4IxtwHg08OuvPxEeHkG/fvcRGxtDUlISZcqU\n4913Z3LixHEmTXqNHTu243a7qF//BoYOHeYZIJiTiRPH89tvv/Dnnxsu7WCFKOHyFfzfffddTp48\nyT333IOmaZ7XgpRS3H///bz55puFXU8hCpEZ464/BIjEeM8fMjvG4oF9uFy1sNsr4ut7rBjq6E2p\nghsYmNF1nxHwM/4tXboMqakpJCcnY7Xa8PHxISEhHpfL5XkVr1y58mzYsJ7//Odh1q1bQ3T0SXx8\nfNiwYT0ANlsgyclJKKW4884+1K9/A2vXrubNN19H0zRMJjMRERFs2rSB8ePHEBBg5d57BxAaGsaP\nPy7gyScf49NPv6JcufLZ6r1q1Qp+++2XqyrlshDXCk3lPfG3x7Zt21i9ejXx8fGEhYXRqVMnatcu\nvldyYmJympNcZFWmTKC0Ux7Klu0K3IaR6e8xjB4AX4xn/87z3zcE5hEYCOXLv11cVc0mr0cHee1n\nMhnJdtxuF/Xq1Wf37sw5PEqVCqNateps3ryRZ555gRkz3qFnzzuBdJYsWUpKSjJVqlSjWbMWrF79\nB3a7nYSEeFq0aMX27VsYP34iN97Ymi5d2gLw118bcTgcPPzw/Zw4cQyHw4Gu6+frqrx6G3x8LNSu\nXYddu3bwyCNDPBMHZYiNjWXQoHtITDTO7avxzl9+9/JP2ip/ypQJLLCyLukBZqNGjWjUqFHeGwpx\nTQkCWmIE/c3AHRh3/er8v24gCrDgcl07KWfzeqOgdu26REUdITXVeFc/a+AHOHv2DGfPnqFy5SrU\nqFETXdf56afv0bQA3G4ngYGN6NixH19+OY6uXW9j//5/SUiIZ9Omv9E0jZkz36dbtwPn62Jcbcyc\n+R5HjhwiJCQUi8XJ778bSX4++OBd5s37goYNGzNw4H8wmUwsWPANSil2796Zre7jxo3G6UxHKSV3\n/kJchnwF/2rVquX5C3bw4MVnBBPi6hWGkeVvD8aI/3+ABhhT/SogDiP416JUqetj+mqljC77ffuM\nWQwvfM6v6z643U7P8mHDhpxfXh4/v66kpMwlMXEbCxeOp3Hj3vz55xKSk5PPl60IDS3FqVMn+fjj\nWZjNZtLT0/n88zksXPgDVquVuLiznql/T5+ORtd1NE0jICCAmjVrYbFYCA0NRdM0jh3LfMzicrkY\nP34MW7f+Q2BgEOevW4QQlyhfwf+OO+7IFvyTkpJYs2YNp0+fZvTo0YVSOSGKRirGQD8F1AdWAn9i\ndPf7AGcBMyZTTfz8cpvyt+hd6Q3vn3+u9Hzv/fTPF7fb7lkeFXX0/HIrJlN1UlK+8WzpdK5h8+Yf\ns9Xl7Nkznu8zBv39978fAMbrfxaLL3v27OKRR4ZQr14D5s6dw8aNf7N580b69TOyi5rNZurWrc/p\n05mvWC5evIjIyGV07HgzvXrdyQsv5Jw3QAhxcfke8JcTpRT9+/fn6NGjOa4X4tpwBiO73w3Ad0B7\njAuBNhjBH2AbVutbaNo1nJkn3+wX/KxhtIcD44LI4Vnmcp0FFL6+NtLSjKQ/mqZx//0P8sUXn/LU\nU88yffo7AFitVkJCQjl+/BgOh53g4BDuvXcgZrOZuLg4Nm78G7fbzVtvvYeu6/z44wL++GMltWvX\nAYyLiK+//pJbbunGuHET+OefTUXSGkJcj64oWbmmaQwZMoS5c+cWVH2EKAZm4ND5f8MwnvF3BCxk\nZvprxLlzz+NwVCi2WhamjIF3OawhMHAiLld3wInTmTERT8ZFkPE6pK9vZorvoKBgvvjiU/z9/Vm+\nPPM9/5SUFBo3bkp4eDiBgYEkJMQzcuRzAHzyyWwCAwMxmUy0bNmaZs1aeOYbOHXqFAAffTSL5OQk\nhg8ficvlwuVyecp2uVy5vp4ohMjuimcq2bVrl9e7vJdDKcXYsWPp378/gwYNIioq6kqrJcQl8Adu\nBFZh5PlvmWVdEpCAkfI3gvT0i096cy2qXLnKRSbzcZOYOBGTaX+Oa9PTNwPQt28/ypQpC0BEREUi\nIiqSkpLC3r2Zj0maNGnG6NFjsVptVKlSDYC//17Hnj27OH78GElJSdx1V18cDgcvvfQ869ev5aab\n2pOUlEhcXByRkUuJiTlNjx5d6NSpNc8996Sn7M6d2zBp0msF0BpClAz56vZ/+unsz9XcbjcnTpzg\n119/ZcCAAVdUiWXLluFwOPj666/ZunUrkyZNYubMmVdUphD5lwZsAkoDLowsf2AM9Ask89fEhY/P\ntTXCLLcR/1mf0R89eiSPUhIx5jeAzG5/o9D09K34+Fj54Yev6d69J19++Rm7du3w7OlyZd4YbNmy\nmU8++RAwZgHMGEw4ePAgzzbJyUk89tiDREUdYcSIMURGLsNqtREcHMzkye94zT64d+9upkyZAMDH\nH39OUFDBzb0gxPUuX8F/4cKF2Qb8aZpGUFAQw4cPZ8yYMVdUiU2bNtG+fXsAGjduzI4dO/LYQ4iC\n5IfRCXYrxoh/B8b7/Ta8f0VcKHXtTetbMJMIZfQM2PHz60Ra2krPmkGDHmDHjm189dXngPEIIaee\nBKUUc+Z8lG152bLlqFevAatWRfLLLwvRdRODBw9h48a/2bhxPc89NwJd16levYbXfikpyZ7va9eu\ne6UHKESJkq/gf/jw4UKtRFJSEoGBmckLzGYzbrf7Is8hhShIcUBv4AhQF1gO3ARkfaffRXDwHCyW\ni09Le7XKuAC4kjcENE3j1lu7c/ToYXbvzlweGhrCm29O5aOPZvPVV5/h7+9PcnIyJpOZmjVrenX9\nWywWlFIEB4dgsViIiTlNw4aN+c9/HmHt2tU4HHbcbhdfffU5NWvW5q233qNVqzZ51ksIcWnyFfxv\nvvlmZs6cSd262a+ut23bxqBBg9iyZctlV8Jms3neEQbyHfgLMtvR9UzaKS8VgNoYI/vTgAPAH2SO\n+gc4TWjoZ8VTvQJypTFSKcXixYuyLT94cB9z537EvHnGnX/m+/5uSpUKxWQyeQbn/frrrwwdOhSH\nw0FUVBQ2mw1/fwtTprxOerrT02vQp08fevToAUB09BFuuOGGbJ8bEhKApmnMmDHjss7xGTNmMGPG\nDCIjIwkPDwfg999/59lnn822bUREBMuXL/f8/Nhjj/HHH394baNpGk8++SRPPfWUZ1nWer300kv8\n8MMP7Nlz9bwuejWRv1NFK9fgv3DhQs9AvpUrV7Jw4UJ27dqVbbtly5Zx4EDOU3XmV7NmzVixYgW3\n3XYbW7ZsyXfKYEkHmTdJm5kfSRjv+gdj9ALowC6Mi4FAjEcAIbhcIfj45Dy75fWsbt0G7NmzE4vF\nQkREpWxT8/7000+4XC503YJSmVP4ut1u1q5d63Vn3r17d5QyxgJomobD4cThcLFz506v0fqfffYZ\nn3/+OZqmYbXa+O23yGz1eued91BKce5carZzfPXqP5kz5yMOHz5IUFAw3bv35KGHHsVsNv7k7dq1\ng1mzZqFpGmfOJOPjY+y/ceMWQkNLMXnytGzphrN+xo4dO+nRoze9e9/l9blly5bzbJf1d2/VqhX8\n8MMPaJomv485kL9T+VMk6X0jIyN5//33AeOKdtSoUbkWcrF1+dG1a1dWr15N//79AZg0adIVlSfE\npfHHuNOvjDHYrzLGXb/t/JcOpHPq1DtUqnQPJtOF78EXj4KY3EfX/XC70y66zb59u+na9TaWLv3d\nE/gDAqyeZ+4Zd/Vut4amVUapzLwfHTp05p9/NpGYeA6AmjVrc9ttt/Pee1NRSmG3p2Gz2ShTpiwx\nMaepUCGc5ORk/Pz8iI2N4e233+fGG1t51cftdvPee2/zzz+b6NChM+3adfRav3btX4we/QLdut3O\nkCFPsGfPHv73vw85e/YsI0eOIS0tjddff5XSpct4JRAC2Lt3D7Vq1aFevQa5tseZM7GcPXuGG29s\nTf362XskLhQbG8tbb02gXLny2T5PiOKSa9/6lClTOHToEAcPHkQpxffff8+hQ4e8vo4ePUpCQgIT\nJ068okpomsb48eP5+uuv+frrr6lWrdoVlSfEpUkDYoCDQCOMEf8RGNfGSRhd/yaczkqkpOT9x76o\nFMSj7rwCv7GNm2XLFnst6969R5afLIAVpUJwu09lWQabN28kNTUFPz8/AKKijtC3b3/atevg2Xvh\nwh84fTqazp278NlnX2OxWGjYsDFly5bn22+/8vrcPXt28eSTg1m06GdPmReaNWs6TZo0Z/Tosdx4\nY2seeOBBhg59mkWLFnL8+DHee28qNpuNPn3uzbbvv//upVati/c87tu3B03TqFWr1kW3yzBx4nga\nNmxChw6d8rW9EEUh1zt/i8VClSpVADh06BDh4eH4+PjktrkQ1zAbxkC/tRjv82eM9jdjzOyXgJHo\nJ42AgKvjee2lBv6so/0v56LhwgQ63333bZZ1Dow2y3jWD+AgKKgJixZ9xJEjh9myZRNvv/0mycnJ\nrF79J6dOnQSgRYuWTJo0lQMH/qVBg4ZomkZycjI2m5Hwx+Fwen3uK6+MIjy8Ih999DkvvvhMtnpG\nR5/i0KGD3H13P6/lt9xyK9OnT2Pu3DksX76ETz6Zy7p1a722OX06mvj4OKKijvDggwM4cuQQwcEh\ndO/ek0ceGeJ5ZLB3rxH858//hj/+WEFCQjw1atRi8ODHadOmrVeZ8+d/zf79+/j882/4/PNP8tvc\nQhS6i46qU0rx+++/k5iY6An8R44c4aGHHqJ169Y8+uijHDp0qEgqKkThSQFOYTzfL3V+mRsj8Pth\njAUwuv/dbv9iqeGVuPA1vyt57a9ixUqYTCZKly6TZ1mJiVtJTU2hatVqtG2beac/ZsyL7N//LwCd\nO9+Cv78/N9zQCE3TiI2NITU1hYMHD3Dy5HH69r3Hq8zJk6fx3nszqVo1597Bw4cPoWkalStX9Vpe\nqlQYfn7+LFnyO4899mS29ZB5R3/sWBQPPTSYadNm0L17T+bNm8u4cWOybLcXpRTp6U7Gj5/IG29M\nxmazMXLkc6xe/adnu/379zN79nRGjBhNSIjkIBBXl1zv/JOSkujWrRvr1q1jwoQJ3HDDDcTHx9O2\nbVtiY2O5/fbb2bBhAy1btmTjxo2eXgIhrj1pGJP3pGJ0+fsC8UC58+t1wE5w8ELM5tjiqeJlyC0w\nX8njgmPHjOybsbExOZVM5tsROkq5+e67+XTt2o2nn37cs5Xb7aZCBWN0/apVkdxxx92eda++Ogql\nFNu3b6FHj960adPO6xOqV6950folJRmDxqxWW7Z1Llc6VquNfv3657hvw4aNmTz5HRo2bIzNZuzf\ntGlzLBYLc+Z8xJ49u6hbtz6DBw+hT597aN78Rs++rVu3ZdCge5k9ezpt27YnPT2dF198kS5dbs02\nJkGIq0Gud/5vvvkm+/bt4+eff+aFF14AYNq0aZw8eZIPP/yQ77//nk2bNtGoUSPGjx9fZBUWouBV\nJDOz33ygCbAT2Ht+fTqQQGDgTwXynL0gXO7d+8Xqn98yLRaLpwv8fKkAuN1hgIZS/oAbTYMPP5xB\nv369OXnyBAA9evRi/PiJ+Pn5cfbsWTZs+Jtx48awbt0a5s6dw65dO2nbtgOPPfYky5YtZuTI4Zd0\nfLmlKf7xxwU4nU7q12/gmRfA7TYGKrpc6bjdboKDQ2jTpq0n8Gdo164DSin27TPOh+rVa3oFfjBy\nk7RqdRNHjhwmPT2djz6aRXx8PE899Rwul4v09HTcbnX+82QeAlH8cr3z/+677xg9ejS33367Z9mC\nBQsIDQ3lgQceAMBkMjFkyBCee+65wq+pEIXmODAS+BrjWf96jG7/pcAyjFf+fElJ6Yyf3wE07erI\n7385o/3z2icjJl1sG4fDwdNPP88PPywgKuqIJ5Dpeuz5fbOnQM7Ypn37TrRr1xFd1xkzZgRVq1bj\n0KGDjB79ImFhYQwc+B8CAwP57bdfcLlcrF+/hpEjn2PkyJcpVSosz+Oz2YxXobJm/wNYvnwpSilW\nr/6TTp1ae63r3/8umjZtzuDBj3P48KFsr+/Z7cbriyEhoZ5cB+XKladp0+YXtIudgAArZrOZyMil\nREefokePLtnq2LlzG267rQejR4/N83iEKCy5Bv/Dhw/TtGlTz8/R0dHs2bOHu+++2ysBT3h4OLGx\n105XqBDZ2YBaGFP7Bp9fdgJj5H97jDtbOwEBfYok8BdMOt7C9f77Uz3fZ1wo5HbhkPUud9myJTRp\n0pz3358GGDcQY8aM5cCB/XTv3pP33pvKvHlzGTBgEEFBwbz//lS2b9/GkCEP8dln8wgIsHIxVapU\nRSnFsWNRXsF5yJAnefzxhxkwYBBdutwKwNKlv/Ptt18xefI0KlaszKpVkXz44QfUqFGLBg0y3+pY\nsmQRfn5+3HCDMSBx7tw5mEwmPv10nudvYXJyEqtX/0mLFkaPwOTJ72Cz+RAXl+Ip5+uvv2D58iUy\nD4G4KuTa7e/v709KSuaJu3LlSsB4Jz+rY8eOyWAWcY3LuNvvBvwHqA8MBBoCP2M8x/YlOvp9kpLK\nF2pNMgJnQTxeuJIylMr8yknlylWoWLGy142ApmVPtfvGG5PRdZ3AwCAAli1bzG23dSI62ngl8MCB\n/Tz88P1MmDCOzZs38P3333LvvQMZPPhx4uLOous6w4eP5NSpk/z226951js8PIJKlSqzYsUyr+W7\ndu3AZDLRq9ed1KlTlzp16lK2rDGmo1q1mlSqVJneve+ifPlwXnllJL/+upANG9bx9tuT+Omn73no\noUc9PQ+PPjqUw4cP8dJLz7Nu3RqWL1/KsGFDSEtL4/HHhwFQvXoNGjRo4PmsOnXqEhoaChjzEJQv\nX7jnkRB5yTX4t2zZkp9++snz85dffnn+l6eX13affvopzZs3v3B3Ia4xR4GOQBjGs38zEAp0Av4E\n0nE6LTgcDQutBhcG6/wE77x6CAriIsL7NUGjwKNHj3Ds2NEcnrF7V2jixPFomu5J8nOhrHfyzz77\nJGazma+//oIuXdryxRefcvvtvWjT5iYgc5DhP/9sYtiwIZw6dZK1a//i5ZdHcuLEcU85gwcPZeNG\n77EEs2ZNp0eP3lSqVDnX4wwKCmbmzI9o0aIln3zyIaNGPc/OndsZNeoVBgzInHmwU6cuTJnyLomJ\niYwbN4a33ppI+fLhzJ79PypWrJR7Q5L94kiI4qKpXEaeLF++nG7dutGtWzfcbjeLFy/m4Ycf5uOP\nPwZgw4YNvP/++3z11Vf8/PPPXmMDioqkg8ybpM3MW9myPYB5GK/5uTECWECWLZYArQA3Zcq8QkjI\n8uyFFIILu9Mvtk1eLuySz6mLvqDeDsiYqje/68PCStOnz7189NFMlFLouk6ZMmWx2+0EBQXRr999\nvPPOFMaOnUBQUBAvvvgMN93Unh07tlGuXHnOnUtAKcXnn3/jSfyzfPkSPv98DlFRRwkLC+O223rw\n4IODMZlMl3YwV0B+9/JP2ip/iiS9b5cuXVi4cCFvv/02p0+f5vnnn2fChAme9b169SIxMZFp06YV\nS+AXouBEYNzxg/FefyIZI9iNCwELxjv/9hwHsxWWgnrun1Ogz2tcwZU9MshecEbAN5vNrFy5jscf\nf4QdO7bi4+NDXNxZNm/eQIUK4TRs2Jg//1zFd9/9wubNG3n66ceZOfM9qlWrTqdON/Of/9xH06bN\nmTjxLU/Zu3btYMyYEezYsY0WLVoC0KXLrZ5n+1m5XC4WLNjE+vWQkGAmLMxJ+/ZmevZsJnflokS5\n6Kx+t99+e66B/aeffqJ27dqe51hCXLviMLL4lcYI+hl3/xnsGDkAgkhMbEZw8Jqir2IOrjRW5bb/\n5ZZrsfjicOQ870FAQMD52f7MTJy4kYQEo31btbqJ1av/oGHDxjz99PPMnz+P9HQnbrebY8eMOQJ8\nfHyYOPFtDh06yJEjhxg6dJhX2fXr38APP2SfbfBCSikmTlzJxo1d0XVfAM6ehb17z3HkyJ889VSH\nixcgxHUk73lzc9GqVSsJ/OI6cQ74FSPwuwArRtIfF8ZrgFaMC4DFlCr1d3FV0suldvdf+H1uZV7J\nBUVugR8yp/lNT09n/fo2HDtmvPdvt5vw8/Pn5MnjbN36D4sXL6JXr7v43//+y1tvTcJkMjN9+odE\nRFTk33/3omkaQUFBjBs3hltv7cgtt7Rj9OgXPQMIL2bVqu1s2NDeE/gz6HoQy5bVZd++o7nsKcT1\n57KDvxDXDytwCOMCIBWjm78URq7/n4FYYBbBwafx999abLXMKr+PBK6+nux0zpxpglLG68EbNkSS\nmprC778vYurUN3E4HPz443d8+qkxtuiVV8ZTo4YxgU5c3FmUUowdOxqbzcabb07l+edHsXPndp56\nagjJyUkX/eR169IwmYJzXKdpVYiMPFmAxynE1e2i3f5ClAxpQBngJPATUOH8Mg1oC1QBwgkMfAtN\nuzqm872Yi10YFMQ0wFfGhI/PTTidm4FkLJZOaNrfVKwYzoED+wEj416jRo0JCgrh9ddfxe1W3Hrr\nbTidxiQ/TZs244UXXvKUGBFRkSeffJSff/6R/v3vz/WT7faL3+vY7UU3GFCI4iZ3/kJgJjPRTz+g\nPFAb6I6R6CcFCCc6OpwTJ7JPA1tccgrylzpIsCAHueU2xS6A2XzT+e8U6elbMZuNBGK6XoH0dNf5\nUfmlPdtXq1aD++9/kPDwisyePZ2dO3fgcrnQNI22bb1z5Tdq1ASr1cbevRefcbFSJWeubyG43WlU\nr56PgxTiOiHBXwgSgaZADEbCnwYYFwIOjMGAvkAITmc5LJZtRVqzXFLVZ3OxhDwX3883741y5X3h\nkFtefQCXK+N5uhulzqFpGRcKOi6XndDQUp5EQAA//fQ9TzzxCFFRRzh9OpqhQx/mwIF/UUrhdDpy\nKN910YsPgLvvrkdQ0Poc11Wo8Bfduze56P5CXE8k+AuBCWMueh+M5/0JGIMA3UAIxsC/nUBnlPIp\n0prpefyGXk7Q994n7TLqlFEpo5Dg4GBPubmLy9gbY/IfY4Cey7UCMNL8xsWdRdM0NE1jxIgxLF36\nBxUrVqJhw0b88cffvPrq61itVhYv9h7Z//ff60hLS6VZsxYXrXdISAgvvhhEeHgkbnc8AG53NNWq\nLeWll2pcMFmRENc3OduFIBzj7r8u8DtGd7+OEdycQDTGXW55EhObUqbMDowLg9xkndr2yihlQtNc\nBVJW9rJ9cxzDYDabSU9Pz3W/jDt8k8mMy5WOyZT3nxGlMibaMfZNT9+BrgfhdJ6gUqXK3HZbDz76\naBZgpA62Wq0888wTxMSc5uWXXwPA19ePxx8fxrRpkxk7djQ9e97ByZMn+O9/Z1K3bn1uvrlrTh/t\npWHDasyYUZX163dx8mQSNWqUomHDtvKOvyhxcs3wdy2QjFB5k8xZeStb9k7gE1T5NbIAACAASURB\nVOB7jIl8kjF6A1IxBgE2xsj3v4mQkE8pU2ZlMdU0/5Qyo2m5B3ClgoFUNM2Jpnn/CahevS4HD+b2\n/NyK0T6ZbrihETt3bsfPz5/U1Mz5QPz9A3C7XZhMJtxuN2lpaYCOruso5UbXNUJCQrBaA4mOPglo\n2O1pWK02NE2jceMmDB78OLVq1fH6vFWrIvnii085ePAANpuN9u07M3ToU1it3lPxFjf53cs/aav8\nKZIMf0KUHAnA30AvYBbGnb8ZY9BfV4y7+HQgiZSU0l57ut020tJqExCw2bNMKS1bQC1quQd+HePu\n23G+jiaUSkcpC7puPEs/eHB/lu1MKOVC08BkqobLdYTg4FcxmTpjMm3mwQfj+P77b1BKoZSbVq3a\nsG/fXhITzxEUFMTHH8/15AN59tknOHToAD/9tJhZs6azbNli5sz5CqvVilKKGTPe5fvvv2XRouXo\nup7r3XjHjjfTsePNBdtgQpQw8sxfCCKAfzCe+T+MMZFPNaAyRgCMARYDyeh6uNeeup6En98ur2XF\nFfjz13PtPr9tGunpZTDGM4CmOUhJuROlID3dn/j4F73GBigFLlcUfn534O9/FyZTWZTqxunT5ahZ\nsyOgYTK9x7//jiA+/hwNGrTg9OlofvnlR88nN2nSjLi4OOLi4oiMXEpMzGl69OhCp06t6dy5Dd99\nZ1xEdO7chkmTXivQthFCeJM7fyFIwHjmvxLwB1oCX51fV/H8srPAQdzuZln2M57t6/qFg+a0893u\nzkKtdU7ymlQHMscRmM1Glj2nMxwfn5PY7S78/cFkSkLX953fOmO8gZmAgNGkpLyO3d4es7kbmqax\nbNleTp5chK5XJiCgHQAmU0127jyBrutER0d7Pnfbtq1YrTaCg4OZPPkdz3v7GWS+eyGKjgR/IQjF\nSPLTEagKxAO3Y6T0/QnjbvlOwBd//7FZ9ss5yB492pfKlb/L4zMLblBgVnkHfi3bAEIfnxO43cGE\nhBij6JOTWxMY+KPXNmfOPIPV2hsfn6UkJEzCanWgVCgxMT8AJ/Dzu8ezbUDAs5w79wTgxmQysW7d\nGn7//Vc2blzPc8+NQNd1qlevka1uWee7F0IULgn+QuAA2mHM7JeQZbkf0BdYhDEA0IeEhHvw9U0g\nOPiPHEtyuy24XIqLvw0ABRn4fXz8SU/PmG0w41l9Dp+o/ElMfIbg4DfP/5y5TtfPAZCU1AWrdQ0J\nCXcSHPxDlr2duFzb8fd/GLt9HklJb6KUHZOpHroeQVraz5hMFTGbb8DlOoim+QMuFi36maVLf6d6\n9Rq89dZ7tGrV5qLHIqPuhSgaMtr/OiejaPNWtmwfjDt8BSRhvOtvPf+zBqwCWmMk+4kBtlKlyrv4\n+ESdX6+jacZgOZfLRmzsbQQEnCIw8K/zn2Bsk9GF7nb74HSWwdf3xEXrZbfXx9fXGE+glI6mZQ/q\num7CZgsgMTERTQtGKTtK5fzuvqaBn5+VtLRkgoLCiI9PRtMyt42NHcS5c48DYDIdpUqV+8i8SNG8\nArOm+XPXXcNZtepONE0nJWUOdvsvuFwn0PVS+Pp2o2zZpnz55U2UVPK7l3/SVvkjo/2FKFC+GEE/\nAGNa30QyfzUyAu5xoBxwAF3fisVylLi4+wkNnUvmc3GNpKTWnDvXBLtdx2rdgq4nYQTQzK72Eycm\nER7+at618s0cSJhT4AdQykViYsYfzQDgHGZzA9LT9wAulPJBqSB0/QwAaWnGa3rnzp1B0yznX/lz\noGmphIT8QljYfNxuP1JTGxIT8xplyrwKKAIDH6B376akpPhTubKZzp0rERRkY8uWf0hMbIPVOgSr\ndYhX3erXX5HnMQohiocEfyFIBzYDt57/OWug1TGy4EUA59D1xYSGHgLAbq9FcnJnAgLWommpgMLX\nNwpd30V4+G8olT1gu90WLJbTnkyBDkdVfHyO5zo4MD3dhtlszFbnclkxmTLfsb+wh1ypk+e324mm\nZUzi40TTzqBpUK9efXbvNi4oSpUKIykpELv9cOaR6k5OnBiDyaRRuvRs/P3fJ+POv0YNB0880R7w\nvku7/XYH8+adQdfDvOri77+Vvn0jcjwmIUTxk1f9hCAG2IsxgY8CAjFG97sx0vpWxegZiAR0SpXa\nBLgpXXo6Spk5cWIGsbFPA+Dn9y+hoQcwmxNwuysDEBs7kYSEVwAzuu6gdOlZpKYaI+MtlsO4XKGk\npjbhwlz5iYmt0bTMdMImU/L59Lfegf+11ybxwQcfZ9nTgtudPc/97t3GCH5N04iLOwtEny/L6NJ3\nOuuQnh5Gampl4uOneOUKSE3NOYFO//4teeihvVSosBK3ex+wlfr1V/LSSz7UqVMp1xYXQhQvCf5C\nEIJxZ78cWI+R1z8RmI/RIxAFzMDI8peG3V7m/H6K+Pg78PHZT0jIN2SkBLbZjqCUhsWyH123UbNm\nW6zWirjdxt1xQkJL7HYrAC5XGGbzaez2aiiV2RGnlAmT6QwuV9Y7agsmU/NstV+3bi3+/pnBPjFx\nCunpDQBwOuvjdH4GgJ/f/VSq1AylFDVr1mLs2Ix36RWa5ofd3oMKFZrQsGFlSpdOQtcfRtM0goOn\nc+ZMT06dir7wowG4886mfPBBS/73vwDmzq3AhAmtaNiwWv6aXghRLCT4ixLPx6csRv7+rhjJffaQ\n+brf/RjT/TYBzgB18fWNAYzn8BERLxAW9jGpqU0BDZfLiqYpNM2FplnRtLL4+IQSFlaLjEl0nM5K\nhIXNB8BkOkNSUi8CArZ6df27XKUJCPgXXW/kWaaUP+npm1AK3G7/83XQWbJkEd9+Ow8w8vIHBibg\n47MFAD8/G6Gh2wFIS/uUEyeOARAbG8srr4zylP3KK6MpW3Ypfn63kJx8G76+3xAUlJnQKD09mPj4\n3AdkaZpGWFgYNlvBDUgSQhQeeeYvSrwKFWwcPXoOOIoxlW+5LGtjMAYEhmIk+elAQkJHgoNX4nDY\nOHPmZSyWBEqVmoHTGYpSfrhcvlgs0SiVgFIJxMY2RinlmaGvbNnPsdub4utrpAS22X7OViez2eiS\n9/H5wfNKntutYzJlJBBKxe0OQNdTSE938/vvvwIQHl6JqKj3zqfi3Y/bvZ20tAQslptxOCJxuWIB\nKF++AvHxcZ4R/LNnT8dqrYOf33Tc7pMkJ7+L07mVjGf+oaFHqFxZJrwX4nohd/6ixKtaNRAoj/FM\nfyVwGDiGkeb3EEaOfx0IBlI4fXoILpc/fn7HiYh4kbCwt0hOrsqpUy9hsZzEbrcQEjIZi6UrmhaK\nUibS0yvidofgcNTmzJn5JCaOAcDt9vXUw+32xeUyEt1omhWLJWNeAYPJFAe4PT0Eum5MotOiRUtP\nED916jgBAS0IDJx6fq9UfH074+//ACZTIzIGM+7evZOKFStx5519AGjatDkDBgzAZKqPn9+dBAVN\nQ6lYjGyFLtq0SSAgIKDA2lwIUbwk+IsSr3XrRhgD+xxAWYyBdykYaX6rAkuBmkAFNO0gJtM2oqMH\no2mQmtqUU6feIjW1L+XLv4HT6Y+v7z08+GAIpUsPIizsT86dm8WZM7+jVBl8fQNRqsr5V+x0EhLu\n5PDhqRw79jYJCe+SkmI803e7FQ7HSjQtFLO59fmBeb5YLIOwWHqcH/CnAzp79uymfftOPP74MJxO\nJ/XrV0XXy2Pk26+K3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9HR0QCsW7eOBg0aFOHRFLys7bNlyxZq167tWVejRg2OHDnCuXPn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\nJYwEfyGEEKKE+T+SdgeVN2SiYwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x142942d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sm.graphics.influence_plot(reg1, size=8);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"High values outliers have no biggest leverage within the model. The most influential points are deviated with 4, 2 and -1 sigmas. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Summary"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The model support my hypothesis but can be improved."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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