"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# QQ plot with statsmodels\n",
"\n",
"qq = sm.qqplot(resid)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### di Comment on any problems you see with the fit.\n",
"\n",
"- There is a strong pattern in the residuals - which indicates non-linearity in the data.\n",
"\n",
"##### dii Do the residual plots suggest any unusually large outliers?\n",
"\n",
"- Yes, there are 4 observations with studentised residuals > 3\n",
"\n",
"##### diii Does the leverage plot identify any observations with unusually high leverage?\n",
"\n",
"- Yes: observation 13."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (e) Fit linear regression models with interaction effects. Do any interactions appear to be statistically significant?\n",
"\n",
"- Yes, both of the interactions yield coeffiecients with statistically significant t-statistcs."
]
},
{
"cell_type": "code",
"execution_count": 462,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"NO INTERACTIONS\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: mpg R-squared: 0.822\n",
"Model: OLS Adj. R-squared: 0.818\n",
"Method: Least Squares F-statistic: 256.0\n",
"Date: Tue, 04 Sep 2018 Prob (F-statistic): 2.41e-141\n",
"Time: 16:51:50 Log-Likelihood: -1037.4\n",
"No. Observations: 397 AIC: 2091.\n",
"Df Residuals: 389 BIC: 2123.\n",
"Df Model: 7 \n",
"Covariance Type: nonrobust \n",
"================================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"--------------------------------------------------------------------------------\n",
"Intercept -18.7116 4.609 -4.060 0.000 -27.773 -9.650\n",
"cylinders -0.4452 0.323 -1.380 0.168 -1.079 0.189\n",
"displacement 0.0189 0.007 2.524 0.012 0.004 0.034\n",
"horsepower -0.0094 0.013 -0.709 0.479 -0.035 0.017\n",
"weight -0.0067 0.001 -10.508 0.000 -0.008 -0.005\n",
"acceleration 0.1179 0.097 1.217 0.224 -0.073 0.308\n",
"year 0.7625 0.051 15.071 0.000 0.663 0.862\n",
"origin 1.3968 0.275 5.073 0.000 0.855 1.938\n",
"==============================================================================\n",
"Omnibus: 29.782 Durbin-Watson: 1.291\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 47.819\n",
"Skew: 0.506 Prob(JB): 4.13e-11\n",
"Kurtosis: 4.366 Cond. No. 8.53e+04\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"[2] The condition number is large, 8.53e+04. This might indicate that there are\n",
"strong multicollinearity or other numerical problems.\n",
"-----------------------\n",
"CYLINDERS X DISPLACEMENT\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: mpg R-squared: 0.846\n",
"Model: OLS Adj. R-squared: 0.843\n",
"Method: Least Squares F-statistic: 267.0\n",
"Date: Tue, 04 Sep 2018 Prob (F-statistic): 1.26e-152\n",
"Time: 16:51:50 Log-Likelihood: -1007.9\n",
"No. Observations: 397 AIC: 2034.\n",
"Df Residuals: 388 BIC: 2070.\n",
"Df Model: 8 \n",
"Covariance Type: nonrobust \n",
"==========================================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------------------\n",
"Intercept -4.2248 4.661 -0.906 0.365 -13.388 4.939\n",
"cylinders -2.6365 0.409 -6.452 0.000 -3.440 -1.833\n",
"displacement -0.0783 0.014 -5.533 0.000 -0.106 -0.051\n",
"cylinders:displacement 0.0136 0.002 7.890 0.000 0.010 0.017\n",
"horsepower -0.0399 0.013 -3.092 0.002 -0.065 -0.015\n",
"weight -0.0055 0.001 -8.939 0.000 -0.007 -0.004\n",
"acceleration 0.0982 0.090 1.091 0.276 -0.079 0.275\n",
"year 0.7709 0.047 16.390 0.000 0.678 0.863\n",
"origin 0.6749 0.272 2.483 0.013 0.141 1.209\n",
"==============================================================================\n",
"Omnibus: 33.121 Durbin-Watson: 1.430\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 80.138\n",
"Skew: 0.411 Prob(JB): 3.97e-18\n",
"Kurtosis: 5.042 Cond. No. 1.03e+05\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"[2] The condition number is large, 1.03e+05. This might indicate that there are\n",
"strong multicollinearity or other numerical problems.\n",
"-----------------------\n",
"DISPLACEMENT X HORSEPOWER\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: mpg R-squared: 0.859\n",
"Model: OLS Adj. R-squared: 0.856\n",
"Method: Least Squares F-statistic: 295.5\n",
"Date: Tue, 04 Sep 2018 Prob (F-statistic): 7.17e-160\n",
"Time: 16:51:50 Log-Likelihood: -990.77\n",
"No. Observations: 397 AIC: 2000.\n",
"Df Residuals: 388 BIC: 2035.\n",
"Df Model: 8 \n",
"Covariance Type: nonrobust \n",
"===========================================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"-------------------------------------------------------------------------------------------\n",
"Intercept -5.1268 4.316 -1.188 0.236 -13.613 3.359\n",
"cylinders 0.6520 0.307 2.125 0.034 0.049 1.255\n",
"displacement -0.0708 0.011 -6.391 0.000 -0.093 -0.049\n",
"horsepower -0.1721 0.020 -8.641 0.000 -0.211 -0.133\n",
"displacement:horsepower 0.0005 4.83e-05 10.140 0.000 0.000 0.001\n",
"weight -0.0038 0.001 -5.946 0.000 -0.005 -0.003\n",
"acceleration -0.1269 0.090 -1.418 0.157 -0.303 0.049\n",
"year 0.7550 0.045 16.761 0.000 0.666 0.844\n",
"origin 0.6489 0.256 2.535 0.012 0.146 1.152\n",
"==============================================================================\n",
"Omnibus: 45.972 Durbin-Watson: 1.506\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 89.743\n",
"Skew: 0.658 Prob(JB): 3.25e-20\n",
"Kurtosis: 4.922 Cond. No. 9.33e+05\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"[2] The condition number is large, 9.33e+05. This might indicate that there are\n",
"strong multicollinearity or other numerical problems.\n",
"-----------------------\n"
]
}
],
"source": [
"# There are 8 choose 2 = 28 combos.\n",
"# Trying out a couple..making mental note about how to search space that could be \n",
"# larger than this.\n",
"\n",
"print('NO INTERACTIONS')\n",
"form = 'mpg ~ cylinders + displacement + horsepower + weight + acceleration + year + origin'\n",
"est = smf.ols(formula=form, data=dat).fit()\n",
"print(est.summary())\n",
"print('-----------------------')\n",
"\n",
"print('CYLINDERS X DISPLACEMENT')\n",
"form = 'mpg ~ cylinders * displacement + horsepower + weight + acceleration + year + origin'\n",
"est = smf.ols(formula=form, data=dat).fit()\n",
"print(est.summary())\n",
"print('-----------------------')\n",
"\n",
"print('DISPLACEMENT X HORSEPOWER')\n",
"form = 'mpg ~ cylinders + displacement * horsepower + weight + acceleration + year + origin'\n",
"est = smf.ols(formula=form, data=dat).fit()\n",
"print(est.summary())\n",
"print('-----------------------')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (f) Try a few different transformations of the variables, such as log(X), √X, X2. Comment on your findings.\n",
"\n",
"- R-squared was improved by log and reciprocal transforms of mpg\n",
"- R-squared was improved by log transforms of independent variables, the p-valued for the\n",
"- t-statistics of the transformed variables are smaller - indicating greater statistical significance"
]
},
{
"cell_type": "code",
"execution_count": 167,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"NO TRANSFORMATIONS\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: mpg R-squared: 0.822\n",
"Model: OLS Adj. R-squared: 0.818\n",
"Method: Least Squares F-statistic: 256.0\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 2.41e-141\n",
"Time: 11:05:05 Log-Likelihood: -1037.4\n",
"No. Observations: 397 AIC: 2091.\n",
"Df Residuals: 389 BIC: 2123.\n",
"Df Model: 7 \n",
"Covariance Type: nonrobust \n",
"================================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"--------------------------------------------------------------------------------\n",
"Intercept -18.7116 4.609 -4.060 0.000 -27.773 -9.650\n",
"cylinders -0.4452 0.323 -1.380 0.168 -1.079 0.189\n",
"displacement 0.0189 0.007 2.524 0.012 0.004 0.034\n",
"horsepower -0.0094 0.013 -0.709 0.479 -0.035 0.017\n",
"weight -0.0067 0.001 -10.508 0.000 -0.008 -0.005\n",
"acceleration 0.1179 0.097 1.217 0.224 -0.073 0.308\n",
"year 0.7625 0.051 15.071 0.000 0.663 0.862\n",
"origin 1.3968 0.275 5.073 0.000 0.855 1.938\n",
"==============================================================================\n",
"Omnibus: 29.782 Durbin-Watson: 1.291\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 47.819\n",
"Skew: 0.506 Prob(JB): 4.13e-11\n",
"Kurtosis: 4.366 Cond. No. 8.53e+04\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"[2] The condition number is large, 8.53e+04. This might indicate that there are\n",
"strong multicollinearity or other numerical problems.\n",
"-----------------------\n",
"LOG MPG\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: np.log(mpg) R-squared: 0.880\n",
"Model: OLS Adj. R-squared: 0.877\n",
"Method: Least Squares F-statistic: 405.9\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 1.83e-174\n",
"Time: 11:05:05 Log-Likelihood: 285.57\n",
"No. Observations: 397 AIC: -555.1\n",
"Df Residuals: 389 BIC: -523.3\n",
"Df Model: 7 \n",
"Covariance Type: nonrobust \n",
"================================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"--------------------------------------------------------------------------------\n",
"Intercept 1.7070 0.165 10.373 0.000 1.383 2.031\n",
"cylinders -0.0262 0.012 -2.279 0.023 -0.049 -0.004\n",
"displacement 0.0006 0.000 2.232 0.026 7.12e-05 0.001\n",
"horsepower -0.0012 0.000 -2.558 0.011 -0.002 -0.000\n",
"weight -0.0003 2.29e-05 -11.539 0.000 -0.000 -0.000\n",
"acceleration -4.102e-06 0.003 -0.001 0.999 -0.007 0.007\n",
"year 0.0299 0.002 16.543 0.000 0.026 0.033\n",
"origin 0.0392 0.010 3.990 0.000 0.020 0.059\n",
"==============================================================================\n",
"Omnibus: 7.894 Durbin-Watson: 1.391\n",
"Prob(Omnibus): 0.019 Jarque-Bera (JB): 10.607\n",
"Skew: -0.163 Prob(JB): 0.00497\n",
"Kurtosis: 3.732 Cond. No. 8.53e+04\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"[2] The condition number is large, 8.53e+04. This might indicate that there are\n",
"strong multicollinearity or other numerical problems.\n",
"-----------------------\n",
"RECIPROCAL MPG\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: np.reciprocal(mpg) R-squared: 0.885\n",
"Model: OLS Adj. R-squared: 0.883\n",
"Method: Least Squares F-statistic: 428.9\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 1.48e-178\n",
"Time: 11:05:05 Log-Likelihood: 1493.8\n",
"No. Observations: 397 AIC: -2972.\n",
"Df Residuals: 389 BIC: -2940.\n",
"Df Model: 7 \n",
"Covariance Type: nonrobust \n",
"================================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"--------------------------------------------------------------------------------\n",
"Intercept 0.0929 0.008 11.839 0.000 0.077 0.108\n",
"cylinders 0.0014 0.001 2.613 0.009 0.000 0.003\n",
"displacement -2.369e-05 1.28e-05 -1.858 0.064 -4.88e-05 1.38e-06\n",
"horsepower 0.0001 2.26e-05 5.047 0.000 6.95e-05 0.000\n",
"weight 1.124e-05 1.09e-06 10.307 0.000 9.1e-06 1.34e-05\n",
"acceleration 0.0003 0.000 1.705 0.089 -4.31e-05 0.001\n",
"year -0.0013 8.61e-05 -14.769 0.000 -0.001 -0.001\n",
"origin -0.0009 0.000 -1.951 0.052 -0.002 7.16e-06\n",
"==============================================================================\n",
"Omnibus: 52.723 Durbin-Watson: 1.477\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 114.694\n",
"Skew: 0.706 Prob(JB): 1.24e-25\n",
"Kurtosis: 5.223 Cond. No. 8.53e+04\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"[2] The condition number is large, 8.53e+04. This might indicate that there are\n",
"strong multicollinearity or other numerical problems.\n",
"-----------------------\n",
"LOG EVERYTHING SENSIBLE\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: np.log(mpg) R-squared: 0.891\n",
"Model: OLS Adj. R-squared: 0.889\n",
"Method: Least Squares F-statistic: 452.3\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 1.57e-182\n",
"Time: 11:05:05 Log-Likelihood: 304.55\n",
"No. Observations: 397 AIC: -593.1\n",
"Df Residuals: 389 BIC: -561.2\n",
"Df Model: 7 \n",
"Covariance Type: nonrobust \n",
"========================================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"----------------------------------------------------------------------------------------\n",
"Intercept 7.2502 0.370 19.596 0.000 6.523 7.978\n",
"cylinders -0.0123 0.011 -1.174 0.241 -0.033 0.008\n",
"np.log(displacement) -0.0130 0.053 -0.248 0.805 -0.116 0.090\n",
"np.log(horsepower) -0.2377 0.053 -4.448 0.000 -0.343 -0.133\n",
"np.log(weight) -0.6101 0.078 -7.774 0.000 -0.764 -0.456\n",
"np.log(acceleration) -0.1406 0.057 -2.486 0.013 -0.252 -0.029\n",
"year 0.0300 0.002 17.543 0.000 0.027 0.033\n",
"origin 0.0200 0.010 1.955 0.051 -0.000 0.040\n",
"==============================================================================\n",
"Omnibus: 8.161 Durbin-Watson: 1.488\n",
"Prob(Omnibus): 0.017 Jarque-Bera (JB): 13.327\n",
"Skew: -0.037 Prob(JB): 0.00128\n",
"Kurtosis: 3.894 Cond. No. 5.05e+03\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"[2] The condition number is large, 5.05e+03. This might indicate that there are\n",
"strong multicollinearity or other numerical problems.\n",
"-----------------------\n"
]
}
],
"source": [
"print('NO TRANSFORMATIONS')\n",
"form = 'mpg ~ cylinders + displacement + horsepower + weight + acceleration + year + origin'\n",
"est = smf.ols(formula=form, data=dat).fit()\n",
"print(est.summary())\n",
"print('-----------------------')\n",
"\n",
"print('LOG MPG')\n",
"form = 'np.log(mpg) ~ cylinders + displacement + horsepower + weight + acceleration + year + origin'\n",
"est = smf.ols(formula=form, data=dat).fit()\n",
"print(est.summary())\n",
"print('-----------------------')\n",
"\n",
"print('RECIPROCAL MPG')\n",
"form = 'np.reciprocal(mpg) ~ cylinders + displacement + horsepower + weight + acceleration + year + origin'\n",
"est = smf.ols(formula=form, data=dat).fit()\n",
"print(est.summary())\n",
"print('-----------------------')\n",
"\n",
"print('LOG EVERYTHING SENSIBLE')\n",
"form = 'np.log(mpg) ~ cylinders + np.log(displacement) + np.log(horsepower) + np.log(weight) + np.log(acceleration) + year + origin'\n",
"est = smf.ols(formula=form, data=dat).fit()\n",
"print(est.summary())\n",
"print('-----------------------')"
]
},
{
"cell_type": "code",
"execution_count": 464,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 464,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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4LRYvn7pqcFzOOlkvbWihz/n9+jCEeLrC0VavDSjXdKCrtx8blnibJHycKRwdHWe6CATCuGELzw+T8MF3tOP8jrarB29nlyFLrkT+fQ1dtw8+swrvZN9Ffk0TDqfFInV/BqMPMA5TjvEzTQJL+gzCo2Q6cjykBHuy2nVykKfJuVy5Vc7sTZlTC8fUeCDKV4Bwbz4uVCjx/y7csoicF8lB7BtzSTLL2Bxb4e2On3x8kX73RfVafHTlHr7dPbm1H7JoTCBYAOWqNpzek4zMCiU+L6lBrFSE03uScU/dBm9X85toWequqTnCNjB0tLVGdpWa8fmOyED8x9pl+OZWncmuv6E2HhViOd4M4XOFiWZGJ0wtbHbsz1+AB339SAgUQ9Whw+/XhyFLrsT5e43Q9Q0gPlCMcG93FNU3AwC+v6PAjx/z4dR6nOw7blfWkc0VAg3XZLy2tQu5v1yLO6p2k+Pa7l509fajXN2GnCo1rtZpEB/ogav//CMcuVqJY0VVOLkzkY5WemFl8KzyylJ16FDUYY2/fJlP2keCWaHpeoDypnbEBohwtrwBlyrZ239Vhw5nyxqg6XxAe4y9+l0x3nhiBW4rW2BvPR/hPu7w5zui6OUN8HR2oL+fKVcxIgw+L6nB8fR4lCiakV2pJn0G4ZEzHTkeJC48nNmTjItyJXKq1VgtFSFZ5sHaT1G5VWL8BPRGaP59DS5WKJEewfTEV7R24UKFcmRuEuQBiZnMnW8otIy+m4o0vtnQgtSFc7u+W7rj0Q1FM8e7b4av28TtlywazzHm//roTBeBMAtZKHbBEwcvmuyomqOnsakXFbuXFGF2wDYwlAmckFutRoyfAJE+7tgaJoWXCw8/+djURg13/acjnM0csNT7nk0Y27HEhYe/borExk8yUdrYiorXNrHa7ze7khD4h68BjB76+zDvuK+vjyQeItBwTcYvyVVYt2YhDl9tNjl2OC0WynYdI/M81bce2x6HeVZW2GwQGULZ92xog0j7SDBHDO02Y18qtnx6idOGjW0c0HvMndyZyFovv3g+gfFbTy3zxa/iFuGNC7dwrLgaAPDHrDt4doU/PngqBgvsbB7RXRMIepJkYhzIrzD9/CEkUlQdOmw4eBH/HL8Yv1q9GNfqNNhw8CJrX3Bbqa93ck07iuqa8XxkIH6/PgxnyxWM8xStXdjAMn8+syfZLBaOF4pc6HEqMFL+U7uSZrhkjwZqbJzoxYNIxC5TMldZJuFj48cs73735N49SYRHIFgAXBlluZJhzGZGC2kizD7Ykr20PejDy4lLsC08AM9HyXCuvAGZ8kbW93rRQLB/vO+e8kbe92U+Pi+phqpDN4V39OghNj/zGNvxyZ2J+EdZA0obW7E7WoZsgyzNFKWNrciuUqHs1Z8gZdjDgYvR3rG268GcsmfC9DJagq22tjaT4zF+ArTpenDdQI6CorSxFdcVWtzXdj7UGGI622TSPhLMEcpuY/wEKFO3jWrD3BFb7P3OhXuN+M2319DUqYOqQwdNVw/ezr6LGH8hMvalQuLCg8SFh51RQTh5s5b0LYRHDqXpbQiXRMp4+w/KqxZWwNvZdwEr/VjtZkOLybl7YoLw8qmrePGrAhwskOPFrwrw8qmr2BMdxDjvAsf8+aKZzJ8vVbK3EZerLKN/pGznPy5VWlwbd0nO8e4nOTYinsaESTEZj+aB8PBpKAlhPOQOZ5Q1DsPJqVYjPSJwhks3MaYjpIkwfbAle/lt0mN45shlONrquyCxkz3yqptYv59TraJDxWq0XYxjlD3XNHfSnxkmb1q3yAvlTe04c0eB//1JuNl6nRGbn3kM7TjGT4BWXS+Kh2Unwr35o9ivGusXS3AoLXZU+8uUq0zaZ0D/jrVdPfjFyUIAxIuSMDajJdga7GxFosyVcVwmcEKrrg83FFrW62VXqRHl4w5gpM21s56Pnv4B9PUPoru3Hzxb7ulEm64X//JtEe3hONU2TNpHgjmSKVdhd7QMW8P88XlJDfs5wzbMFbHF1e9cV2hhBSu06PoYHsyAvi04nBYLAEba5iP1kuiDE6YbNk3vpZ6unAlZxxNJQnnVUtr7H12pwJ8v3WX1qr1W18y6oFZU14wgoTP9mbnPn829/A+DJes5AyPv3pjJvnviaUwgWACpwZ7I2JeKbeEBsLeej23hAcjYl4q1wabJAR6GR+HhOZoXFWH2IXZywJm9KTictgp7YmT4bk8S7rd0obSxFTKBE24otGjR9SKWI7vxaqkIV2rU2PdlPjydHZCxLxXh3u4Me/ZwdqBtreB+E97ZHIUXVy1EQ1s3JM48/G5NCLp6++lrmpsnMrH5mUfs5IAze5JxOG0VdkfLUFSnwXKJPhFnUb0Wq6RC1u+t9hehXN2GeQDkTe34pKAC+768guPFTLujPO8N22eJCw+RvgIIF9jTfwPEi5IwOtRk/Hh6HH4WE4Rj21fj8+fi8VbWHWTUd6OvfxB/35GIY9tX42cxQXhp9SKInexpezYmylcA8XDb+7OVwfinhCVIDfbAPyUswRCAl09dY21HqXb2le+KGB6OwNTYsKpDh/PlDYjydWc9TtpHwqNkIuOKTl0vXlsTglipEFdrNZzjn1VSIdp1PaxjALmmg/N7sVIRfpv8GIrr2RfGKjXtaOnuYT125o4CNYOOs35cRJidTKQe9A8OobFdh4LaJjS269A/OGRyzkQiSa7WavDWxkjGWOqtjZG4VqcxOfdSJbuncJbRdR/V/Hm6WLuQvfzrgr1mumjTDuV5HisVorhei1ipkNPzfC4y2rx6MhBPYwLBAojxFzI0jQFMuabxo9IVHM2LijD7UHXosOHABfBs9Dv/V2uboWjvBqCf9GwLD0DB/SakhUlZ3+tqqQiy178BMGJTXDp+Z19YAx+3Bdh5PNdEl/P9J6Npz2Zz078kNj/zUFp5Z/Ym49tb9XDj2UEmcEaIpys+LpDj1ZSlrO8oNkCEoNe/QfZL61j1Yr94PgFdvf0Mm6W+eyI9Dg/6B5G6P4P2DkvdnwGAeFESRofS8VsT7In/83Uhtn2WQx+j2tC86ib8YUMYGtq64enCg6uDLasN+/MXwJ/viM2HsvDWxkjsPJ5L/ztRDdapsmFjPVjSPhJmkomMf5s6dejpH2Ro4HPZsMTFEfHvncOZvSkmx7t6+xEfKGb9nrerI7Yfy8GhYY9iY67VNSPaV8B6rOB+E3R9A3j1++uzelxEmH1MpB4o2rqx4cAFkzGRYR4TYGKRJIFCZ9axFFs9iPIV4EC+nPVzQx7F/Hk6ifETMjSZAdCazHMdS9dzTg5inzsmySa3oU4WjQkECyCTY6c2q1KF7eEBHN+aGKPtBk/l4oZhNtSLFY1IDvK0qGyo5oahXRTUarA7WoaV/kIczJcj/74Gv18fhvyaJhTWanByZyJyqtTIrVEj1l+ERJkHnjp8iXE9R1tr5FSpOW3N2c6G9diNhhbYzJ+HquaOR2KnU4mlZwCeDWTJlXC0tcb5e0osFLnAx5WHX/y9AG9tjESlph0nSqrx7e5kXKrUZ+2O9RdhdYAIW49kI8ZPwKkXe1fZClXnA9Zj1dpOfHH9Pv13uboN0b4CFNRqiBclYVzk1zRhnpUVYvwEtORJaWMrcqrU2BklQ/L75+Boa41/Sw2BTOCME+nxyBtuj+MCRPB1c8Sfsu7g8UVecLS1Rpm6jf53tHaUazxA2bCVFbAjavKhsYbX33E8F4fTYlGubsONhhYkk/aR8IiZyPh3YNBUJ5WyYUVbF3Kr1VjuxcdCkQt2HM+Foq0bxfXNOPvCGmTca0R2pQoRPu4IFDhjy6eXsf+pGFRo2pFTpUaohPm9W40tdJ9hyCqpEAJHO9Z7CZXwcfRa1awfFxFmHxOpBxfucecxoSTpACAhkD1hXgKL933p8DjLWIrhVmMLwowiaVYH6DdcKCkLuaYDXb39WB3A9MLM4tCFvVSpwrYpmj9PJxc53kmmXIXtEbO//A/DaHrO6fwFM1SqRwflaW04r14dIMLNBi28J5HEkchTEAgWQE4Vu65N9hQK4Y+2GzzVUF5Ur0R4YEuoP5kczhKMw9LadL20XUhceMjYl4pQCR+hEj6dAGPH8VzsiJIhxNMNmw9lIbtKjTAvPvoGBvGHjJsoGtaNpZAJnDh1mjIrlGho50iQ0dCCgcGhR2qnUwll8x88HUNsfgbIlKsgEzjhjlI/AC2s1eCtjRGQuDjAw9kBHk4OmGel39R4NkyK7Co1gl7/BkX1zbQMCxva7h4U1TWzHrtcqYKL/UhW++sKLWQCJ+JFaeGMN/xX1aFDY7vORPIEABrbu3GzUYvSxlbk39fAz20B/ph5G7tO5CFRJsZyL1e8l1OOxPfOwcXeBiX1WtqOR7Nnqh3lamevK7Q48MxKPBcRiEOFk09MY3h9RVs3Uvdn4Oi1KkT7Ckj7SHjkTGRc0aLrQZ7RGIayYUVbN55e7o+j16rovwHg+zsKONnZIMzLDc+ukEImdAIAKDt0OH2nHg1tOuj6Bky+l1fdhESjxbUQT1eEeLjBnWfPmohsociFXmSe7eOi2Yi5yZ9NJROpB9x6q8xrhPu4s9rpCm9TWaI7qjZWKYY7yjaTc915Nvh6ZyL+98fh2BUtw//+OBxf70yEO8+GcR7XPNlcEslxzv+rzaP8D0NuDfu9c9neXOPb2/X6SMfheTU1Lzl1u35S1yOexgSCBRArFeFggWkYzmR1bdhIkrHvBk+nR5xWq4VUKp226xPGD1tY2rYVUqxfLMGB/AocToulk65IXHg4nBYLuaYdJfVa1Gg7sVDghO/3piBTrkR2lRo/DfEBz9bDxG7lmg78bGUQDhbITbwJkoI8wHewZS3fCm8+/PkLZsROCeZPkkyMt7PL8GpKCNKOXqbD4l8+dRXa7l4cTovFhQolYvyFKKhpwieFckbSMC69WE9nHuIDxaztM+XxRZEgE0O0wAEhRslibGxsoOrQIUuuRKZchSSZGIkyD7JwNgcZb/jvWPIQsVIRw7Ze+74ETy3zw8ECORLfO4fDabFIjwhAiKcrNi31QYuuD+/llmFbeACOFVWZeFhRtr5+sQTa7h6s8heytrOJMg+8caEUfyuuGbX8Y8HWjhfUavBPCYvHfQ0CYaqYyLjiWm0zVkmFrG2+xIWHEyU1rJ7B72SXwcPZAcu83HCzoQVBAidceDEV/YNDaO56gG9v15l8L8LHHYkyMZaIXZFdpaI9kTcdygIAnH8xFdcVWlysUGK5lxvtpTxa+QncPCqZvtnKROoB97yUucnx1Y37rN6Sn5fU4HdrQhjn7oqWsSZ+/OL5BJPfGRjU/1uhaUdedRNWSYXwdHagPx+7nFM3f55OzL38D0NCgAcOskiQJAZaRrtGvfs7qlb0DgxArukAMPl3TzyNCQQLIGVY18aQEE9XJE9S14YNSnfV+DeIR5xlwBaWdqy4GuE+7ti2QsoIZ6a8ag4XVmJ7RACChE6QN3egp38AC+xsEOXjjiEAqwNEJjbV1duPRJkHsl9ax/AmyH5pHZaIXeDLX8BqhzKBM7IqleO2U5I9nGBIoswDge5OKBrOuB3jJ6BtmtoQ2XUiD0veOIWlHq4M+wyV8LF+kRdSjCZOIZ6usLWeDymHzRp6fIV4uiLKV4A1wZ4mk09nDx+s+/A8nv0sBwfyK/DsZzlY9+F5i/JwshTGmxRoNHmIZ1f4Q+q+gOGpdfp2Pfz4jgjxdGV47ro72kHopPem7+rtxyKRC/2vXnOVx/Ds6uzpR5mqDVJ3dpte4c3HzqgghmblZJLikfEGYTbBZY9siYis589D3HBovPH5iTIPXDVK2kVpG7/2fQl2ncjDzuO58HF1xP89ewN21vORV63GZ0XVeC4ikBFNQP3+/1y8DcECO/w6cQn+UdZAeyLzebZwsbfBllB/vPnECuTVqBleyqQ+TZyJJG2bi1D1YHe0DO8/GYXd0TJOO0oJ9mSflxqNk7Ys98PmQ1nIqVIjTMJHTpUamw9l4elQP5NrUuMzQ0obW1FcbxrN9aB/ED89lIWPrlTgQf8APrpSgZ8eysKDfuaq8aOYP08nyRzln6yurTnBNocM8XTFKgtYMAeANUGerHPlFNnkkjgST2MCwQKYZ2WF958mI5+OAAAgAElEQVSMxo2GFlxXaBEq4WO5lxvmWVlN2W8Q3VXLhiss7VCBHO9sjsIr3xWZHCuo1eDI1Uro+gawI0qGnxokt4vxE+DfU5fheHo8suRKXFdoscKbj9SFXujtH2QkFQP0A4F3Nkdh22c5OJEeh2ptJy5XqhgafxsWS7A1TDqmnao6dCjqsMZfvswnXpsEAPr27U8/DsO/n70JAHSIvuHiMUVXXz9+ebLQxD5P705Gxr1GFNZqkBAoRoyfAM8cyYayQ4ezL6zBlRo1rtY2Iz5QhBg/IbKr1NgTLaPb6wd9A6xly73PPlEiepRzj/EmBeI670ZDC/68MRIlCi2eeMwbH+SV07ZDjRNuK1tRVK+lPQ83D3slHk6LRUv3AxxKi0WVph2H0mLBs5mPZ45cNkk0896T0XhrYyQa27sZ7XDq/vPg82wZCfEA4EJFI3xdeZC6O42rrWUbb0R5uZB2mjAjiJ0cGJFSUb4CrPQXorGtG7bzrSBcMGKXa4I9oOns0Wvgy5XIqVFjtVSE1VIRXvxSr5Ov1+fWItZfBImrI8P7l9r8+a/HQxnJ9AB9P3NqdxLKVW3wdXPE2g/PQ9HWTdfLL55PgJezg8m4x8XBFn/8SQR+/JgPMiuUiJMKkLJQQurTBJlI0rbZBJ/PHgk1UcRODjizJxkXKpTIrdbb9X+uXcZqRxIXHs7sTcHFCiVyqlVYLRUjOciDsaEIALeUrXhrYyTK1G0oqdci1JuPrSukuN3YCpnAmXEu1+J8llyFrWHMqNSC+030dW8otNgWHoBFIhdcvd8EX7cRp5H58+axzp/nzzMPv8u+wUF8vTMR2Qae2nEBIvQNDo79ZTMnr0ZNt6fUu1sockFejRq+bnM/SnlgaIh1rnx69+SSIJJFYwLBAsi414idJ/IQ7asPIT16rQov1WpwOG0V0iMmn4zGGEp39VENjqZqoEN4eLjC0sK8+XBxsEWSzIM1U3GohI+Seq3JwptM4ISG9m58XVqL0sZWyARO+PRqFY5cq8LPYxeyLpLdamyFtwsPce+exckdCXh8kRd+KGvASycL9WUc9mAYzU4tPbyQoKep8wHK1W3IrVbD05mHlGBP9LU00XYs13RgW3gAHvQPMPRdY/wEKG1sZbXPjHsNGBwEPJ0c8E52Gd682I+3NkYidX8G/nr5Ln6b/Bh4NtZwsreG7PVvTNrrQ1tXwceVBxcHZgKj3sEhRqIzitk+USVMnPGG/3KdFx8ogo31PKQu9AIAnH1hDbLkStRouyDXtGPXiSv4z7XLEOXjjoMFcka4e+r+DPxhfSiaOnvQPziElGBPfF1ax2rrNxtaUKLQYt1CL1prlbqWoq2bkdQRAEK9+PikoBJCJ3v8OmEJ+BxJugwxbseLiorgLwof83sEwnTQ2duPf5QpYAUrHMyvwN4vrtALtYaLxr0DQ0j7LBulja3YFSVDuDcfPX2D0PUNoEXXg9T9GYj2FeDAlpU4fbsOO07kmfxW+4Ne3Fay9zPl6jb48R2x+p2zJseK65rxwdMxrOU3rE9lZWVkvDMJzE3+bETWSomkVozqIDEeCSxFWzc2HLxosol4Zm+KyWIwoF84To8IYCS+M8aPvwA7j+eaLHwdSos1OTcuQMTZ7xkjEzpj5/FcOhHesaIqdPX2m1z3XHkDx/w5dtRyzxYyK5TY+0U+3dZkV6mx80QeDmxZCWm000wXb1rJkitxIF/OeHcFtRrsjQky2USYi2RXsScCzKlWI20Si+bTtk0yMDCA3/3ud9i6dSvS0tJw7949xvHDhw9jw4YNSE9PR3p6OqqqqjiuRCAQHhZK9L2gVoNjxdX0RC3HTMXgqUQTb15TWlyiidkKW3hmSpAHYqUifF5SjeDhcGZDqBD8noEBk8RKck0HXBxssVzCZ9jtukVenIkpqERhAPBDWQNaunsRKuEjY18qUoY9a8ZirPBCS05yYikoWrtw8mYtjl6rgpO9LbxdHbHzeC7muwhoO8+/r8EikQuGhsDQKx4tSVjBfQ0U7d2o0nbAympkgh/tK0C4Nx/bP8vBD2UKnL6t0J9v1F7n1TThrrqdvh5liwW1GpNEZ8DDTVSJnc9OxivLwHWehxMPCe+epUPQxU4OeMzDFTF+AuRVNwEAzpY34MHAoIk+KqD3SDxyrQox/kIU12uRX9PEWs7rCi3WL/bCufIGhg0bHqfa6pQgD6xb5IVQbz40nQ/w3Z36Me2NzT5tbGxG/Q6BMBYP0+7lVKnwt+Iahr2XNrYyElFpu3rw3e16eoxxtrwBwSIX9A4O4u3su3g+Ui8xscDOGrr+AYid2RfwInwEKGSpn4Deq/KuyjTxFwBkGXlict1vV1fXuO+bMII5yeZQDhJ6WSv5qLJWzHO5JbAu3GtkHT9f5EioOJ76drOhhd1JpKHF5NwoXwFCPPX92fZwKWL89H9H+ghMzq1sasdbGyPxfGQg7K3n4/nIQLy1MRJVmnbGedzzZ/OQHKHaiU8K5fjFyUJ8UihnfD6XiR/WLjZ+d4mzsD5OB1zJGicrlzNtnsaZmZkAgBMnTqCgoAB//vOf8cEHH9DHb926hTfffBNLly6driIQCIRhKDH0P/woFFG++sHmv35/3SyF8E09QeXEE3QWIHZywMUX16JC045LchX83RcgVirChgMXWJPfrfQXIljojBMl1YxEYYbJ7dwc7ODppE/8ZThojPIVcnotU8mdlnu50Z5ylKfDeOyju3eA02szIVBMvJDnOKoOHcNTBtBP+t7aGImsShXSIwLpsPiM8gb829plwBBoG7Wzno+nQ/1xS9lqYkPxgWLYW89HQ1s3toUH4Pfrw3C2TIFEmRiBAmdYWQGBAieESfjsXvsSN1yWqxDjJ0Sbrhf/8m0RjhVXM8pJhf0/zESVeNvPXsYrA0Wdd668ATlVaoZMj6KtGxcrlLSXVEm9Fq7DG3RU+0tNvo3rwbpFXjhb3oBWXS+K6jSsCR5j/AR4PioQdtbzEOUrYE/CEyCGoq0L726OwrpFXthsIE10S9mK8qZ2To9jLvv85rnVk3+wBIvH2K5KG1tws7F13J7vXIswhbUa7IqWAQC03T1o1fXQxwwTBOvRj2dP7UrCtToN1i70wrYVUlhZgU74G+LpChcHW0QMRwMYkygTw5UjIXCU78jimapDh3/5toi+tmE7T5gc5iTTN5qDhHGEEnWucfJp43NzORyRcqpVJl654x1nXOHYmMyraUJ6JDNSdmBYiuFylQp51U342cogxAeI0dNvKu0VLHLBc3/LMfGKPvIssx/hnj+bx8JjXIAYB/JNE4ezeV/PNSK83VnHMSt83Ef51tyBeve7o/Ve5kX1WnxcIJ/0u7caGhoamuIy0vT398Pa2hpff/018vPz8eabb9LH1q9fj6CgIDQ1NSExMREvvPAC53V6enpw69at6SrmrCbqb3dmughTRuGzS2a6CDTh4Y8mhHE22O7y5cvR3N2H3sFBZA7rTMVKRUgK8oDtvHlw59ngxo0bM1rG8eLo6IiiDms8d+KKybGjaSuxYkH/nPeQmI22a2NjA2cPH+Teb0Z2TRPiA0RIDhThglyF544z31W0rwB/2RQBH1dHfHu7HsX1zVgu4WPDEgkUrd243tCCGwotlkv4iPDmw8uFh46eflyr1SCnRo11C70Q4SNg1fKjQv1DPF2x/6kYfJBXTg+QKPvo7e1llDXOX4jV/u6YZ2WF7BoNLlc3YZkXH4sMFlgA4Ic9SdB0PUD6ccu1vYdlNtquIY6OjijpssX2v+WaHHt3cxTaHvRiV4gYSqUSQm9/VLV2I6e6CbujZegbGEJHTx+yq9S4WteMMAkfQUJn2oZCPF3xyTOr8Nfsu4zJ/xfPJ8DRej6qWjpR2tiKGwot4gPFkPIXYOvRbEZSoveejIbQ0Q7X6jS4XKVmtdMDW1ZC4myHhe4L0K6sQ19f34SfgaW3sWzMNtt1dHSEnZ0denp6ON+Hr68vPr6hxB1VG+SaDoa3754YGf74RBhau3uQWaXBCm8+HG2tca68EcX1zQjz5mPtQi9cqWlCdpWa1jd+40Ip/rIpEqdv18HJ3haLRC70ohe1MVjR1I4ShRbLvNzw+CIv7PsyHxcMPM1CPF1xelcCalu78enVaoR68/HLk4WQuPDwxXPxuK1sRWGtBrFSERKl7mhtqKXtmNjnxJlttjsbMbQryo4prVM2O2T7fnGXLdJZ+o6TO+KxwssVOfe1uFSpxEp/IXxcF+Dt7LtYu9ALvxyWzzLkwJaVKFO14anlvqhs7sSlSiWifAWIlYrQNzCIGw0tSAgU4wmWDc7Te5JR19LFqmX59x2JcLGZh1uqdni48nCxQkmPt6i+5I0fLafrkfHYLs5fiFg/90n1LZPhUdjudNjteNrn6YDH42GBhw8y5aqRuZ5MjE5lHbq7u+nz+Hw+3rymZHW+2BsjwysRHtBqtfS5H97WYu1CCV0nKHs5V67AC4/xodVq4e7ujstNA9jJIqdyOG0V4gTz0dysT0hnWN+MFzMN23FHR0eUdNth+7Eck2se274aoQ4jz9fd3R09PDeGxj6gt/vPn4uHXXcL/fu+vr7IqO1A+t9yTX7/s22rscZnAWprawEAPkFL0MMyf7abNw91FdxrNLPBdt3d3QFnARramHOrUC83eLnwgHYN/UzmGoZ2a6xpnFHegJ895kbb+FwkJCQEjZ29GBwaojdRVkmFiA8QY56VFTwcbVhtZzS7nVZNY2tra7zyyivIyMjA22+/zTi2YcMGPPvss1iwYAFeeuklZGZmIikpadTrLV26FHZ2Y+/2TidFRUWPbAAGAJhDi8aP9LnNMmbadvsGe/BjFp2p7/Ykw9ra2qzezV++zGf9PLtag2c5tNrMgUfetoyT8dgum/f3qylL0dzVY3JuQa0GNtbzsX7YA5kiwvtxzuR2r5wuxu5oGZ4J9ceJ4hpgCIzkBvGBYqzwdsenVyvx8TMrER8oRnaVms4W+/v1Ycgob8CzT6zg9FR//8loxoKwsddmtL8Ir3xXzHr/5m57YzFbbXMsJtPucrUv1xVapEcEQCQSYcjBiWFD6xZJ4GCUEAwYSUp0R9mKuAAxMuVKhk3uOJ6L4rpmxAeKGYnzqPb53Atr8OdLd+iBrs08K2xh+Q3DpGJXazXYRdmiyG1C9z7WM5ionc9Wu5mt5TJkqsYMXi7t+Ncfrpt8HusvQk2rDunH9J5WWb9Yi+3HRryuUKC3rW92JaGwVsPQJC5Tt8GNZweZwBlvXCil2+IYfyGr9uTJnYk4W9aAGw0tSDbwvLO1scEKH72mvcSFh6xfrGV4HFP1wNjzjMs+L1c34dmnVz70M5uNmIPNGmJOZaWg7MrY+9fYDrnehVuHjtWrLcJXSEdcASNjjk+2rsKHefdMrgPok3S9sDIYuz7PM/neyZ2JWL9YguxKFWuSp4KaJhwtqsZbGyNR0dSGEkULVvkLEeLlhpsNWiwWuyJI5MwaUXM4LRZfXq/ByggxFi1aZFGRfeNtc2dzXVS0dTNszVBTeLGRpnBSK1gXjZODPCGV+kMqHdE83bXAHVs+vWRiL188nwCp0Jk+18atm7UOJAd5QuLCg7+/P/354e+KkbEvlZGIznCsTuHU2sV6zTipPkmkIZ8UVLB6T+dWN2FXtIzx+zcLall//1x5A9JWSCEUCvXPtLWLdf58Zk/yrLGD0WxX0cq+gXRmTzIk/v6MZzLXWN4CWiPeUNP42PbVkEqlDBufk1j14qefmI6pTu1Ogp2d3YTtd9oT4b355pv4zW9+gy1btuDMmTPg8XgYGhrC888/DycnvZ5ZQkIC7ty5M+aiMYFAmBwXK9hDizLlyilNhPcooBJNGN/LbE00YQmwhbllyZV4YWWwSZh9jJ8ApUYaZTF+Alyr13ImtwOAn32Zj4x9qRA62eNseQMOFowkN3gvpxxLPVzxYmwwPJ15ePyj8ybJLb54PoGzrKWNrbjR0MJIzFTa2IoabSfOvrCGDgc1tyQnhInD9Y7DfdwRNKzBamhDMX4C9A0MoqiumVN3b8MSCZI/yGB8J1HmgZM7E3HhXgOyqwBHW2tsD5fS7ZneJrX4ZdwifH9HgaGhIVQ2d3ImPqJsdypskdj53CEl2JN1wp0S7IFTt+rpcQFX8sYf7ipwtbaZ4aV8rrwR/xS/GL/6uhCvpoSgXN0GR1tr3Oa4xtmyBhTXa7HKX2gS9hzg7gSJCw+vpiylxymGONpao0bbyVig4kzyJxVO+PkQCBRJMjFKG1tMkvIC3GH7hrBJE6wJ8kTGvQbW691RtmHDEm9WiYl1i7xwrZ69T7laq8EzYVL8UNaAA/kVJgsie2L0ocifXpXj1ZQQ3G/pwv68e3QdDvF0xYn0eEZ/tG6RPjFmq64HTy73Q0+PXhN5IhIGhJmH0hQ2nh8ZyhFRUPrLxn0Dm6wV1/imuL4ZwUJn+jN7ayt8vTMR2VVq5NaoEesvQlyACPbWVibX3BUt41yINuRKTRPr5kj+fQ2eNFo0Ho9EDMWOKBm2HrlsMlc48Vw847wLHPPni2Yyf+Yuv6lkyFwjfFiewsoK9H8hnq5Y4W0Z8hSX5OyJ8C5XqpAesWDC15u2RHjffPMNPvzwQwCAg4MDrKysMG+e/uc6OzvxxBNPoKurC0NDQygoKCDaxgTCNHJb2YqMfanYFh5Ae7pl7EvFLWXr2F+eZSQHeSD7pXWMe8l+aR2SZOahLzUXyZSbiurXtXYjIVBskhQkUeaBPCONstGShxkmTNpxPBd7Y4IQO6zFXVCrQValCv/9ozCEevPx4ZUK5FSpcHJnItIjRuzjrY2RuKtq5Syr8e9QXK3VYE2wJ71gYU5JTgiTg+sdb1gsgVZxHwDThmQCJ6g6dLhaxz5ZyatpQnlTOx2+T7XDms4HuK1swa5oGYJFLiZts8SFhyy5Cks93fDblKVICfbkTF5B2e5U2SKxc/NgrCRCqg4dbje24NvdyTi8dRX2xMhwaOsqnNyZiI+uVNBt7njbX4pwbz6+v6PAfz0eirrWTrQ/6EOEjztnYt3rCi16+gfgaDfip6Lq0Hs5W8+bh/YHfciSKxl1yLCufFIgZ9wfl32u8mVOBEkyR8JESJR5IFHmwVkXMjmSeRkidnLAllB/fPB0DLaE+oPvaMc55sipVtGJugwJ8XTFIpELiurYw8YvypW4UqPGywmLIXHhMZI8SVx4eDlhCTycHWBvPR+FtU1YE+yF+rYRaYLSxlbk1TThiSXeyPrFWry4aiEa2rohceZhidgVSz1c0dvbq79njrKP51lYKjPZ7txWsc/1bitNk8ZRmxzH0+OwN0aG4+lxnB7kXGOPS0b2cf6eErLXvwEA/Gr1YgCA7PVvcKHC9PujLUQbknGvEan7M3D0WhV0fQM4eq0KqfszcO5eg8k14wPYxyhsY5e7yla8tTGS8aze2hiJMqMkkuY+f56ITcw1vrpZg5M7E/GzlUGwt56Pn60Mwsmdifjqxv2ZLtojgVtjnP3zsZg2T+O1a9fid7/7HbZt24b+/n689tpryMjIQHd3N5555hn88z//M5577jnY2tpi5cqVSEhIGPuiBAJhUuyKlnHqPJkbg0NgDbUhyTtmjoRAU8+vw2mx2PvFFZzcmYjz9xpRVNeMUAkfcQEiFNdrGefLNR14cdVCVo+b+EAxLlWqsD1ciqEhoKq5k+E9ZxxKuiXUnxHiDOjt41BaLABuLzXDJHr0fRltRJhTkhPC5JhnBbz/ZDRuNLTgeoMWsf4ihHnzYWs9j9YEpGxI4sLDL+MWQ92hw2qpmDXUM8ybDz5PHzbIFvZ89Z9+xAhBBkbChOWadmi7HoDvaM/4XWOi/YTwdXNEiKfrlNgisfPZz1hJhAyPx/gJ8N/rQxHmxUd2lRo7T+Qhxk+AbeF6L6Ox2t/3csrpv0M8XREocKblUP6xNwXxAWIcuVaJ1VIRZ9uaV6NmTNyz5Eq8mhJC1wfD8gBjSwSw2aequoKWZCHJHAkTRezkgF8nLMF3d+pZ68JkIy242u0oXyFqtJ04ti0Ol6tUuNHQghXefMgEznjt+xKsXejFer1QLz5+faoI3X39OJEeh7h3z9LHTqTHMcb6VL0xlDAC9J6X/7l2Gav8xftPRsPLwwcA8NQyX+j6+mnvRIqnlvtN6lnMdWa63dkdFYQtR1i8d59jX2OhNjkiXYYglfpzXne80UeVzZ2oeG0TcqvVeCfnLmKlIlS8tgmfl9SYfHe0heitYSOyAVQiuoJaDSPihS0RXdywo4rx/a8OME385e/uxCqnRM0VKMx9/jxRm5hLbF7mxyp5ZexNPleh6o4xq6WTS4Q3bYvGPB4Pf/3rXzmPb9q0CZs2bZqunycQCAYUc4T+l9RrsVDkMkOlmhwkXG72Ee7DzFAb4ydARVM7unr78Y+yBnx2rYoOn3zpZCEqXttkMrCL8GHPchvpI4CTnQ2+v1uP1VIxFtjOR2t3D07vScatxhZUazsYv8sVWnqroQVhEj5nSN5yLze8ZDAg5QphogbZxNbmJhcrlHj2sxw65JcK6z2eHodljvpQSMqG3toYibcv38W/pYbAwdaa1a5kAmcU1mqwO1pmYpsxfgLk12pY7VWuaccKb3ecr1DStsZlu6kyEXzcnTGVEDuf3YzVDxoez7+vwRCssP/KPUaY6mqpkPZyNG7DAar9dcdvEpfg3L1GekFrx/Fc+rgv3xEJ753D4bRYSFwcOPQsPRDjL0R2pQorpSJIXHio0XahubuXUcbfrw9DiKcrHG2tx5QIYLPPeoPEXFzP58wdBXxdeQjxciOLxwQT+I52WLfIa9xh+xSqDh2y5EpkylVIkomRKPMwiVAyvt4ikTMGh4BLVSp8dq0Kkb7uWOHtjnJ1G1b6CfA4RzkWilzoxbOalk78sDcFJ0trsWGJN6q1Y0sYAcBPQ3xwo7GF9dwbDS3o4PPg7OiApq4ehg7/q98V4y+bInC/pQv7vsw3uVdLZ6bnJ9c4vHeL6psRLOIeI2i12lH1XccrZZEeEcDQ/6U2Ik7vSTa55ip/IetC9CqjBS0uiaVklk2cb0prcXpPMi5XqpBdpUZcgAjxgWKcKq3FS3GLGecay+QBI5J4YRI+/Zm5z58naxNzgeI69nd3vV6LRWbw7h4W7no7uQ3Qadc0JhAIM8+lSvZQsqxKFbauMC8h+NHC5cgCx8zwSYGcoTm2JdQfX964T4c9G3sIbD2SjVO7knC5SoU7yjb8Kn4R/nr5Lqtu2ccFFWhs1+FYcTU9AH1ncxSW/fE7fLMzEVdrR0LZRguzzqtpQnpkINOTVKFFtJ8QET7u6Ojpw7ubo5i/nV+B19aEwMXBdtqfIWF2QLUvxjabWaFEZIR+giR2ckDmz9dC3fkAMf5CdPUN4OtbdTiUFov8miaGDe04nosNiyVYE+yJC/caGb81mr0W12txW9mKnv5BdPb0w9F2PpKDPDg9LH3cl03TEyHMRsbqB42P7ziei+PpcRA72SO3uglXappwW9mGM3tTUNfShcOFcvb2t1CO7SsCsNTTFd19A7irasP6RV6I9hMiytcdnxTIoWjrRur+DDyxxBufPLMK1xtaUFirQaJMjCViV/z2dDG+u1MPAHRSpoRAMQ4Vyk3KeDgtFvPnWeFvRcyoD+P7m+zzKbjfhCz5AG42thCvYwIrY0Va8Pl8xvljeZdS17tYocSlShWifAVYJRWiuasHW45cxuG0WHT39ePdnHJ8XVqHb3YlYp6VFT66UoET6fG43qBFplyJUK+RPoXiklx/vbXBnlju6Yo/nC9lvSdKZqagVjO8memEr0vrOM+1t56PP2bdwZsXb9Ofh3i64tvdyfjJxxc579XSmen5yaUq9rnepUol0h5irjfe6KPsSjXrIl1Oldrk90O83OhNQkprt6u3H0uN5FokLjyc2ZuCixVK5FSrsFoqRnKQByRGif0AYMMSb9S1dMHeej6ifNxhbz0fdS1d+NESb5NzjWXy6M+r1QytX3OfP0+XTZgDl6s4vNnN5N09LJ8VVeHkzkTkGGiMrw4Q4VhRFX63JmTC15s2TWMCgTB7WOXPHooQa4aJY7i0i0mSpplj01If/PsPJbTm2OclNVjm5Qa5pgPLJXyT84vqm5FdrUZ6RCB+GbcIr5wuhq/bAlbdMn/+Asg1HfR39QlkWhHtK8AbF29hmZcbfYzr94ARqYnz95SIe/csShRarPDmQ9WhQ061GvHvnmX97ascuoKEuQnVvsT4CbA9XIoYP4H+8yAP9PT00Of1DgzimSOXcayoCldqmvDtrTpcqWkysSFFWzfiAkVYE+SBVUbt7Wj2utzLDVdrmxHuzcfB/Ao8+1kOUvefBwCGZqbYyQF9Bh6WBMtgrH6Q7binswOeOnwJu07k4UB+BbYfy8GGAxfgM+x5y9b+hnrx0dHThx3H8/B/z97ASn8hng71h7pDh7yaJuyIktGT9+/u1CPyL9/jYH4Ffpv0GJztbBD2p+/oBWNA335frFBiqacL1i+SMOoYtfg830ovizHa/U32+YRK+JBrOmjvPwKBDWNtYkry5fOSarx5TcnQqh3Nu9TwerUtXfB0csDg0BBuN7Yi/t2zULR1Y8fxXLy1MRLvbo7Cqd1J2HUiD9uP5eB/M2/jsf/5FuWqdjwXEYgShRafXpXDx3VksSzaTwhXB1u4DksgcSV4Wh0gwmMerjiwZSWOp8ejf2CIrnfGhEr48HC2R5bRAqj+npTg2VizfE7qEqD3nmX9/BHNtWI553qjh6P7+vqO6/p8B1tE+grA53CkuMy5QGlqHw2tXax6s40G+tsUEhce0iMC8OHTK5EeEcC6YAwA/QND+PnfC7DlyGXs/TIfW45cxs//XoD+wSGTc2M53pXxszL3+fNkbWIuEM8iSwJwjy/mGlL+AgS9/g2yq9S0PFnQ699Ayp94EjyALBoTCBZBchB74pgkmeZnEYEAACAASURBVPkttJIkTbMHahJ1+GolnosIxH//KAxZlSp8XChHqJcbunr7sUjkYvK+UoI8kBgoxvnyBvxwV4FjxdX0eYZJXYxDMSlKFC2QCZyQf1+D0GFvBUAf4sz2e4a2fqNBi4x9qQiV8FFcr4WLgy0eX+SFlCAP1t/+O0fCBJJkae5g+C4jfQWciTa7urro71ALBZS3MGV73X39tA0Bw21TgBja7l6TtsvYfilCPF2xbpEXFthZI9zbnb7Ww0zOib3OLcbqB42Pn9yZiIzyRtbFrewqNeKkItb2V+zkgE+vVkImcMJ/rF2GTZ9kYt2H5/GvP1zHi18VIO3oZZxIj2Ncs7uvHx7ODjh1i92T8ZayBV29A9D1D5gkfwzxdIXElYdAd6eH6ue5no9hf0KSeREMGa2NpLyJn/0sBwfy5Xj2sxys+/A82nS9404W5+vmiP/KuIkXvsyHG8+Otk9qs0TdqcNdlaksy8eFcvi4OiLc251RX1KCPODPX4AtRy7j5VNX0d7TR0taGBLi6Yq1C73wSspSPLncF6+fv4kl//MtfN0WsJ673MsNHs48k3EXoE+gZJwYE9DLOrXpekd5upZBCEd/vtTTjeMb42c8fXgKx1wvmWOup2jrxpGrlfi3TDmOXK2EgmXBlvrtdR+ex7qPLmDvF1ew7qMLWPfheZMyRPmyb0Swfb7U0w2bD2Vh14krOFggx64TV7D5UBYe83A1OXe845ecahWnp7PJ73O8q8dY5isTeaazjQSZaULyEE9Xi1g4XTEsu2VIiKcrwrzZnTXmGpTs4yeFcvziZCE+KdRH64b7sG8ujgWRpyAQLIDBoSF8vTMR2QYhCnEBIgwOme6+znaM5QVCJXws93LDPKuZLpllYRySCeg741O7k1DR1I4goRPOvrAGuVVqHEqLxa3GFuRWNyFWKkSizANPHLyI5V5usLeeD2AkNJkKj14lFSLGT0h7VxoSKxUCQ0DqQk8MAXhncxRuNbbiukKL+tYufLs7Gfn3m1jD6HZEybCVJanF6T3JyChvRMH9Joa0wB9/Ej7mvZMQTfPF+F1uC5filycLx0y0SS0UyDUddAIvYxuOlYqw0l+IcnU7fihrwKYQH/x9RyLyqtXIrWlCXIAIbg62OL0nGT/cVdDJIheKXLDvy3wcfGYVfnmykPm7kwhzJfY69xgrXNjweE1zJx709ZtkpafIlCvR0K7D8fR4ZMmVJvIqv0tZipJ6LUo4tB2rtZ04vTsJp27VIT5Qr3HKs7XmTMKyK0rG2necfWENdH392J97D8dLahh1KVTCR4y/cNz2anj/FyuUCPfmI9zHHf917iZ9DolOIlCM1UZyeRNfq2seV5IwVYcOfsPJSksbW+m+Qq5pR3G9Fsu93LAm2BN/yrpjcp3DabEMSQhAX19O7kxE4nvn6LIU12txq7EVHz+zCnJNO7LkKpN2wcXeFm88EY61CyU4V96AL56LR3G9FlmUbIa/EC72NrinbsP2cKlJArzVUhE+yL1nUsblXm546WQB/viTCIvuUyqb2lllfqo0HQyd3Iky3j7c3mYe61zP3sbUR1DR1o0NBy6YJAk7szfFxJP3YgW7/WfKlYykdaulHInoWLxaL1exL/BmV6nhZ+AJOZHxSyHLRgf1+a5oGeMz6l1Vatpxra4ZET7uCBQ4m7yriTzT2cjg4BDrnHmQxft6rkHJbhm/48OFlXjjiRUzXbxp5+OCCtb7/7hAPqn7Nw+LJxAID0VudRNkr38DRVs3tiz3h6KtG7LXv0FeNbum02zmYoVeXsAwjDbu3bOc3h6E6YFrElXR1I4tof4QLtBr+SXKxPjyeg3qW7sR6uWG+tZufH9HMZzsq4Pe8aS8baj36uXMQ//gEPg8Zhgc5bWRHhmIDYsl+MXfC5D43jlabqK6uRN21vNMQkspuBIjZJQ3IsB9AX4Vvxj/KGtA6v4M8Hm2iPIVmHjQjCcclWAeGL7LGD8BShtbOd+t43AiPGAk/N3Qu93Qht0d7RAqcUNdaze+uHEfqg4dfnu6CNXNHYgNEOHFVcFYLRWhZ2AQ1xVaHC6sZMgCXBjW7wv35jPCiCez0EXsdW7CFkLPdvy3KUuRW93EKYUSKuHjqxv30diuQ16NmmGHfJ4tYvyFeCbMn1Oq5/LwgtN/rFuO64oW5FbrvbqoBEaGbFsh5UwsdKWmCYq2bjy13A8+rjwTuQxtVw8mAnX/r28Ig8DRHh/m3cPahV60lyaJTiJQjNVGco0vv7pxf1zRb1lyJf4n8zaOp8dj/1PR+NFiCVp1PVgT7ImFImccvVaFHcdzTULeR0vum1mhxJ5oGd0/5NU0YfNyX3i78vBMmJSzXaBC/Tcu9caO43l4O7sMkT7ucHWwwSeFcnT09kPRrmONAkgO8kR3X7/JvS4UueBvxTUW36eslIrw8qmrjHbr5VNXEcMhhTBextuHn7+nZJ3rXagwfS8X7rFHnlxkicCgdH2NZbuMJUxs5lvh/Sej8e7mKOyJluHdzVF4/8lo2Mw39erJ5Zh/Uv3HRO8dAOID2MdHbG19bIAY9tbzwOfZIdpXAD7PDvbW80wS8U3kmc5GrtzXMCT5ShRaxL17FgX32RfY5xLRvvp6Z/iOAXBK88w1goXOSN2fgUPD84tDhZVI3Z+BYOHkEiAST2MCwQK40dCCjH2pKFO34YvrNVgu4SNjXyoyyhvMTgx+tERVJBHeo2O8CT/4jvb4P/GLaY+4HVGBOFRYCUC/4PbO5iiGZ0JBrQbdff3wduXhrqqN1WvjvrYTfq485FSr8dm21bCZPw+51WoU1mqwbqEED/oHcPRaJXKrm0yye3MlRtAnSFLiZmMLDqXF4qnlvogPEKOwtgkXKlRICNQn3xA7Ocx4shPC1GH4LkdLTGeYCA9gZiU29Borqdci0leAlf5CaLt7sON4Lv51zVJ8f7cBB7asxNvZd/H93QZcfmkd/lHWgOL6ZkT5CvDfPwrDjuO5jPDQy5VqRPm405nr37hQilX+QrTpelmTM6o6dMiSK5EpVzHsntgrwZ/vCOECB1YvMEqywdBT3sF2PvatCkaw0BmHC+TQ9Q0glCOkMynIA8eKqnFH1Qpd3wAuVDTCx5WHYKGTSQKjDYsleO37EpNrSFx4CPPm42ZDC87cqceLsQvxxhMrsO2zHNS3deNEehzut3Rh35f5Jm36aHBFxJzZm2LRHpEEJmO1kaN5E48nSVimXAUXexv85dIdLBK54DeJS5BdrcabF25huYRPt/8rvN0ZdXS0PulqXTOjf2jpfgChI3fSXuP+IVjkgv7BIbzxxAqUqdtwtqwBcQFiaDof4NUzJXRfFOLpivMvpsLF3oa+1zN3FCZRWYbPy1KRuPBwZk8yLsqVyKlW48XYYCTL2JO2AXpniQv3GpFbrUasVISUYE/Wc8fbh5couOd6xu/FeHGWIqdaxUgEBwAJgR7YEipFmboNNxRa2ubUnUyZiA+vVGDtQi94OTvAbr4A7o52eNA/iI+uVOD/GXk2jsdDfyL3DgCJMnZPZ7ZF43lWwM//XjBmVNlEnuls5OawJF+Zug3F9fp5VMa+VJwzw/n/RFnhw8fGjzNZI2ItgVgD2TFDybzJ6nGTRWMCwQLYFSXDliOXTBrOL55LmMFSTY7xDjQI08tE3gPl8UUNsGq0nfR3/+vcTZOw6DAJH2Wqdrg62OHlU1fBs9FnVz56rQrdff34bk8ykj/I0HsI70vFy6eu0ra9JVTKGCRQoWxUyB1XuUMlfBy9VoXSxlbcUGgR7SfExk9Mr3P2hTXEBucQhu/SUGrC5LwgD/T0PKD/Nl4o0HQ9wKYQX9hbz0N1cxcO5legoFaDbSukiAsQI/z/s/fl8U1dZ9qP992SZVmSZVu2bHlhMd4XvGNDSCAJKUkgBEyAQEK/0k7bab/SZTqdmU4TOi3tTJLCfBAgIYQlKc1GEhYb4w3bYGOzepF3a7Us7wtevz/ke9GV7jWSIcaLnt+PX2Lp3HuP7n3Pue95z/M+rx8Xb+fcRmKAF7bFSfCCnm0RaaHHNiVj1cGL5DUihB44XCol9WX/sT0D90fH8NH1BkT7eSJBxCWDx1OlcFrs1YIMiQDZJwopm3AJ/l5IEXth5aQEEMGUTxBx8cfnolHQoMb2U8XkOS5Gr6JdkIvYLuC5OsHe1hrHrzfgZysW42KNAgeKavFfz8cgOzYQ2bGB6B68jx+epWfdHduUjO0ni/TsV0ou7pxsbfDK8Xxa235Y4JeJpVbUqJ4TC34LZgYPmyP1NwkJ6AejDH0cQ6QH8fFuYTXeWB6C9CA+Zf4nzpW/ZzWut2jw4aspuKPUMSnXLvZF7/0RWpkXw/fDF69n4pUP8zEwMmo0NpjeD2e3Z2D90bwp30W3JqW/iN/Gd3OCiO2MPKmOSatP3ljo7xRZ9wDWHs5FnB8XMb4c5Ner8ee8u7SSD+bIQ5j6Dt+RIMGGD2jWeq8Zr/WY5INSxDSsXDGPViLli9czKe2ifDzId4iE6wapphelLRqcNNC9Bx4+pggkBXjR/nZDRjAAWFvpmM53lF1kOv4SARvWVsZM56kYzPrjmHH9THNPZyN2xAfPm/W/ucivZ5BAqVfDP3Z6xeDmEtwc7GilSdwc7KZ1PkvQ2AILFgCut2poJ87ytg6E8KaXpvCkQDgaLva2pFPSPzxqSTWdYZjq8D3s2C/vtOFHqYtQ3KSGFaxw/HoDPipvwPsbk/Cjf5RRghzb4oPwdJgP2nuHcEvRRUndTPTnYnWYEFJND62tn7vbhpeWiZAaaMxE2BwtRnoQHx+VNwAArja1I17ExfeTQlDepsX7k4414VCumky7ttjg3Ie+LZY0a/Afz0Qx2nVbLVVvki5QsDrMB5elSgyMjOLYpiRca+3A/xTcQ1IAD9viJeC62KOcIT2/Rt2NBBEXVla6fqUG8uBga42fZy7BN/dk+LZaDl+2MzZEBeDbajn+PpkanSEOnnIBZLFXC/huTji+OQWXJwtWvRwZALaTPZztbcFxtqcw3AdGRiHmuGKPgZ7257dacHprGnLrqLrHrxwvwO9WRyBJzEOE0AMNHX2QdQ8gMcAL3UMjZPDq22o58upV+N3TEZQxlujPRV07/bx9R9GFRXx3xIu4iBB6kBqrdIt7OlhY9haYAlOCwg80shXIDPY2YhNPhRg/T/QPj2JliABf3ZHR2vqFGjmOldWjtEWDBBEXu5OCkejPxej4ODZHi3GiopHSN/2ijrcUXShsVGGpgI37Y2O4reii9I3p/VDYoIazna3R58S7SL9opP54CRd64Kai0yz/jykTZq6Bw2HWJiYkH1zsbTE8NgapppeUfDBk7xJtE/0fBFhLmjW0bU31t8tbO2ifc0Vbh1FKOiEfZHjOTJrAf1Gjmva8xY1qiDwesFWJfhoyG+nswtYatFrBtgbCqURxQUP/ZamBJAwAXKiRY/upYjJofXRyPB3blGx0T019N1xnuKflrcb3dDZiPq3/zcVUEihbYukJIvMJI2Pj8HZ3QtfgMBxsrSFwc4K3uxNGxsandT5L0NgCCxYAmFLyr9SrsGmOpafw3ZxwblcWmdL15vIQZIV4z0nnUx9TOaKzEaakZJp6rKZvEH9YG408qRJO9jbIjgnEsWv12JsVjhp1NyXI8V5RNZ4J88HF3avwxe1WNGv7yNQrR1trxkIY5a0dWCb0gLebE8lEqO/ow2txQShv7cB/59/D5phA/On5WIjYLsipU6CiTYtksRf2Zi3FKx8WoLytg3Qo56MNLkQY2mL/8AjO7cpCUaPayK7bJo+ZavHLd3PCK1FipAXysUaPRUQwJ09vTWPUkquSd+Lj7FTk16tQ3NSOm4ouJIt5OFIqRYqYh3QJH5UyLc5Xy/DDs9cA6NhJe7OWomNS79VwAWqxVwv0wXd1QGKAF+6puvB+SR02RQdQ0qlTxDxdOjXbhTIu4kRcJPpzsT/vLm4pusjMDyIwUNaiweowIV77uJA23ZeQSTm2KRm7PymhbAa+GhOIk3oBMX0UNqqREshDstgLV5s0yI7VpUXv/aoCwV7uOH2jkRyHCX7URaC2/z5j8amFzoi0gApT/BlikzCONQGxOIBy/MMCojfatDiZnYbGjj7GgpTlrR2QcN1Q2qJBW/cAUgL5OHuzBRVtHXgqVIhfrgzHsTIpInw8EMhxw6kbjUj056KkWQMfljMW8dkYHB5DWYsGLZ39kHUPoLxVg47+YZS20AdPipvU5DX1USnTUj43HC/m+n/zoRjrg2esxIou0Aa97yi7SH9UX8bhfI3M6HzmtDX1fjNpSl+RqigF64BJKQ0D+aDMYHopDX1NY33/Iq9eRZE4MMcuOgZGsOGDK2Qm4cHiWuy/chdnXkuHp8uD9sqeQZzdnoGCBhWKG9vxxvJgpAbyUavuAXyo5yQkNwzlC+klN3TsbcPflC6hBrjzG4w1nnX3ZG6sn+fT+t9cpAbyaFnqaQuEMDE4OoZXPswnx5hU04uBkVGc2po2rfNZgsYzCJt/Pv6ku2DBAkV6kACHSozTkDLm4MSp6h2kTemaS86nPkxxRGcrHpaSaeqxl2rkCPiPs9gRL0GMLwcFDWqIPFwoaW5f3GlDaYsG766Px6/O3cDAyCgOb0yCi70tNk2mLif6cxnlBSJ9OKhT96BG3YMdk0yEU1tT8TyN3tXfXkwg07IJ+/rH9gxI/vAZVgQLoO0fmtM2OF8YP48LdHbMZNemLn4LGCqDN2n7kOjPZXBkefiXb27g44omyrn3r4vDqoMXEe7Nxpc7M7Ev5w7luDypEj9JW4QNkQFGC9D+4ZE5b68WPDoM7TZBxEWGhI+lAjY4Lo7Ijg1CdmwQ5RhiXKwJ88HFWgV2nbmKzTGBZEq8Pp4K9ca39+gZlAQj+KVlIlSru5FTp0ROnRIJIl12yPj4OFLE9Iu71EDqmABAm1ZPNw4v1soR7OU+7YwY/XtnmS/nP0z1Z7RaLcTiB8GWqd4JAEj/ztPFAeWtHVMWpDx+XZftdGZrGqNshIeTPc7XyDE4MkbO83Y2VhR5F6L9/nVx2Jd7h9EvSg8S4J2C6in7wjRezPH/TJUCmK0wfsb079AdCRJs/DDfaL45TROkMactYNr9NleKiiiKuFrkCh7PWO6BwOpQH1pN456hYaO2ptpFoZ6PRAnwNqgpDN4lAjZFGoOwbUNpDABICaSX3EilkdxI9OeiYM9qVMo7yd/0X8/FwJtFndvn+vp5rvf/URDnx6V9/8f4ej7BXs0civUyBPTHWHFjO8J4LLPPZwkaW2DBAkC0L4d24oxiKGwzmzHXnU99mOqIzncQ6WdHyqQ4MpkRXbBnNcK92bCyAvnPMCWzpbMPgyNj5P2bSl4glMeCi70NWYTPygr4miHIUSXvpKRm3lJ0obipHf+yKhzpQXxcZKg6PRdscD4wfp4UXFxcTJ5/mFIfz95swW9XRzA6stkniozOrZ8qnF+vwhIBm+IAljRrECfiUjS4iXOe25U1p+3VgscDQ7slmFiRPpyH2sC5e23wcnVC//AowngsWtsN47Hw3/n3aI8n2O5xIi4+qWo26kPpj9cgke1Ce95oX09s/dh4TDCl1evb9GWpCl/fk5HF/QhJjcQAL5PnOst8acHDwPROuCxV4tzdNnLD45aiC1tjg8iNDBd7W6wOEwIApO29pG+T6M/FHWUXvVyLsgvfVssomyibo8V4KkzIKHk0MQHGcRvjy0EQ15XyPgn3ZiMrWICb8k78OH2RWTIcTJjrMjHEM349QUdsIGTLDN+hhPSUIXv1RpsWoQZBmgoGmaobMuO2poKQh4gXccl+lrVoHrpJ1traOmXQOMbP0yRNY3PAlBVY1qLBjgQJ+fclBv8lt06BbfESyueZDDIeKyQ0hfCsrWgL4RkWSZvr6+e53v9HwZGyOtpi6kfKpHjboDDjfISpY8xUWILGFliwAHCkVMo4ce57NuZJd88szHXnUx/zKQA+FR7G1CJS2i5LlciTqpAs5oHn6ohzOzORU6dEUaOaTEl75cMC8rjuwRGjtMttJ4twbFMymrR9lOreb+fcwqnsNDIlTcJ1w402+qrkhqmZAFDQoMZba6Pg4ewwp21wodjcw2Bq1XJ9ODg44PIt+md/o02L9CA+8qRKNGn7kSymL96SLObh81vN+OL1THxbLUNFWwdSA/mIEHrgCA1DBqDaY0GDGm89G4UqeSfKJ9OcE/25yGdgNhc1qtGk7ac971ywVwseDx42Zyl6BtEzNIzCBjWutWqQHiRAZrCAlJUggq9tXf04tTUNxY3t5Py6TOiB4bFxJIm9aFleSWIv7Mu5jcQALtIlAkobH5YzXO1tcb2tA0c3JeOWvBPFTe1I9OdimdADx8rox0QRQ1q9vk0TrDv9jJXj1xvg6eLAKFthCMt8aYEh7OzsSJ9mYHiMUfohT6qCFR4U4CI2tQ+X1OLL1zMxMDJKjrdnFvmA5WgHH5YzJFw3xsV+QYOack5AtwFeyJCCTrw7mPyi90ul2JsVjqdChChuaiflBKwBvBojxk1ZJ7oGh5Fbp8SV+ukz7ed6Mdb6jj7U/eoFUiKBkC07faOJ0u6mXEsrOXGhRkaRcQDMk5IATPNZ+G5OFL85RczDvz617JGD/uYEblW9g7gl70Rr1wD82M4IF3rQXp+RAWsQ4C1jGF8lzRqja5e3ddCudStkWviwXSht86WmFUmb6+vnud7/R0GIl7vR+7+0RYNDG5Y/6a7NCFID+bRjbLr1TCxBYwssWABYImDTTpzHNiU96a6ZDcL5NNzJnyvOpz7mcvDRVJjD1Dp3tw1WsEKsnycc7Wyw9rBxShqRqg8AHGd7JPh7UV6Ksu4BrDp4Eed2ZWJnQjBy6hSQanrw/itJGBkfR2awjokg1fROKWVBpGYSiBB64Ef/KMPbz8bgpWUiDI6MkrZHYC7Y4EKwuYfBnKrl+rh//z7j4nd7goRi59d+soaW3eHLdsG/fFOL2vY+7EkJQUYQH/+41Yq/FdWYZI8RQg/85LNrOLU1FcF/+AyAjl3EVPDjcp0SL0f4k3/rz5tzwV4teDwgNsuMPpfwIeseQLO2j8K60s96MQy+Nmn7sEzogcGRMRy/3oDfr4nCD/5ehP3r4mhtPoDjim0ndXI/RAYJ0ebYpmS8cvxBijYhm5EuEWDLRwWMYyI5gIeDxbVGn+vbtH7xKILVbK40hWW+tMAQ7gI/cq5/PUGCDZEBZCFVfcSLuDhsMOa2nSxCwZ7VaO3qpx1vF95cic9vt8Lb3Yl2A4bunFJNL3bES2iDA8S7g/CLPtmaBqG7M7kGeHd9PHadvop1S/1w4OVEAEB73xD+mn8PeVIl/uOZKIqEwnSZ9o9SOHk2YEtMoEkSCdvjTZecmGpONoSpPousq5/Wbz63M9MoaGoOTA3ctvcNol7Ti1pNL6pkWgyOcuBsbwtrK8DLlWovhC9uzAqm+iWmBpcB4Ot7chwqqTNa676RGIznlvhR2hY10f+mQoMiaXN9/TzX+/8oSBHzaQszpoiZWfXzCRlBfNoikmmB0/v9lqCxBRYsADBXtH28QYOZ0P7LDBagYM9qKHoH0T04jOeX+sHbzQnBXm6P9TozgbnOvjAFpjK18qRKNHT0YXWYEFZWE7jMcByRqj8wMgo3R3u4OdrTByo8XPHZrRbEirhgO9nj9VPFeGd9PEJ5LLJQB5PeZYTQA3sM0jVDeSzsOVuGNYt8wXV2gKOtDcki2XayCBlBfKQG8rEv5zYCOC6zVvdyIdjcw5DDyJoxrlquj/7+fmSE+BvZzOZosVHV8n+/cBMns9OQJ1WiUqZFspgHsacrrK2ssDkmEFUyLS7UKvHcYl+IPFweKq1CBLwIO3wqVIijG5djaGwc65b4Iq9eRftcn1/qiwBPV+xJCcW6pSKSAbU1NgjJC8RxtkCXXkxnWxlBAlS0daCps59xnl4V4m0UfC3Ysxo3FZ1wsbdFtbobtxRdJJuRYDQli3lYImBjaHSMPOcrxwtw/s2VuNrUjva+Ici6qdclzr9EwEagpytjWv2KYAH2X7lL6a9hEGo6xbr0/ZdVIULLfGmBEYqaO6AdGCYZpZ9WNWNrbBDpC8i6B3SBiUAedp25SjnWj+2MO8ouxvFWJddiS4wYyt4hWrtPFnth15mrRqSJI68kTfnuIP5mOzvg3y/eNPr+R2lhAHRj4Hy1HJq+IbwWFwRvdydoB6i6tdNh2j9K4eTZAGY/VknRgjdHcoJpTo6m0Vs11WfJqaPvZ65UaaRZrw+RSMT4HQCkBdIHbg2D/p0DI7SSD2deSzcKGptqE6YGl4EH/q1hITy6+To5gD4bzDCgOFPr5+8Kc73/jwJ7Wyv8Y3sGChrUKGpSIzmAh9RAHqysHn7sfEClTEtbRLJKbsy8NwWWoLEFFiwAfFRej7PbM1CoN3GmBPLwUXk9frVy2WO5xkxr/6l6h1Al0yLChwPvOeJ4GmKusy9MgalMrRAeiwymdfQNMzInK+VavLU2Cm4OdnjhaB4AHVutrr0bN2SdSBHzEOvniV98VQGWox1ZQA8Arja1I5THIgt1qHsH8f7GJJS1aMi0rTWLfGBvY41DG5ZT0ji3ndTpauZJlRgcGcOJikYAQFawAIU/fBr5DSr87ttKRPhw4OXqhOwThTi+OWXWLYoWgs09DESFbUPQVdg2BLHQua3oQktnP0QeLqS96aOiTQsHW2sUN+lSROXdA/Blu+Cnn5dR7v3/u1qLz3esQLg3mwy61bV3o1LWiXQJH5E+HBwtleLdyQ0Pwg4LG9XYEBGAf/mmEq521sgIFlKeqw/LGaeyU9Go7cO+nNvIkAjgaGuNt3NuQ9Y9AJRKcaC4xqLNukDAlKLarO2DsncQVTJ6qZ7LdUqMTwCfvpaO620dOvmgAC/w3XTyQZ2Dw2QhLYLNSDCa5N0DuFSrwPIAL1KTW9Y9gL9euYtQx7ZaKwAAIABJREFUnju+nxSC//tVOe11CxrU+Mu6OBQ1qnF0UzJuKzpR3NiOGD9PZAYLsC/nlpFPQ8hp6MPUokxM/su5XVkLfr60gIqCpnYc25SMn35+jVYPta69B+lBfIxPwMh2MiQC0nelw2WpCkGebrg/No5T2WkobmonNWklXDf0DI3QFu+amJjA2e0ZyJOqUNrcjmhfDtYu9sWVehV2JkgQ7cvBqlAhKmVa7EyQUPwaIgBnOAb0i+8R2V1kP6fBtH+UwslPGsVN9D5DUaOaEow1R3KCaU4+WirFWwZ6q6b6LMzt1LRBY6rkRQ+jTNdSbzbtPLhEwDbqD13Q2rC4nT44TvaIE3HBcbKn/d7aCvjbiwm4o+zC9dYOxPp5YomADWuawJ85/m3aJAvTsG2qAQvzo/IG2vXzifIG/HJlOG2fZxPmev8fBUMj43jleD6c7XRM24PFtdh/5S5OMRSbnG8Qsl1oC6oe3ZQ8rfNZgsYWWLAA4MtyQfAfPsOOeF0Rh4IGNbafKn6s6Skzpf3XOWj6TvZsh/5Oe26dApnB3nOKfWEKTGFqqXoHKZW/byu7JtMtaVL3gvhwdbDFnrNluuAXgFUHL6L0x2vQ3NmPho5eFDSo8NXdNqNjSw1S6dR9Q7g/Oga+qyMSJhnJA8Oj4Hg4Q8hyItOv9RkLhtIVe7PCaQuE7F8XNyt1L+c64+dxIFlMX2E7habCNhM0/UMobdHA2d4GQ6NjWLNISLHXY5uSsfuTEuzNCkfX4H0I3Z1JRqY+CN3hgy8lQqrpxZnKJqwP98P3wkXoGRqGtKMPip5BFDSoKXaYHMDDqRtNKG3RIELogZbuQcoC9Cfpiylp/3QBABd7WzRp+xbUs1+oiPLxoE1RLfmnZyBwc0IEg8ZvnIiL/8m/h9+vicK5u23gODlgqdADhY1qXG3S4NklvkgPouoUE4ymd9fHQ6rphZOdDUV/ONKHgzgRF7LuAUbNPV0Rpw4MDI/ii1utaOsegITriueX+uKbe3KsXxaA9UfzjBaD090EYfJfKto6Fvx8aQEV31vixziX17X3YENkAFS9g3jt40JyTu4ZGka8iIul3mwUNqgZx1uiPxdujnbYOSlxQIzXr++1YXt8MOxsrPDDs2VG/sY76+Ox96sK/CxjCQZHxvDBtQZ8Uy3HX16IA9/NCddbNDhfLUeS2As/yViMBk0vzlQ24l9WhWOJgA17G2tcqJHTFnHTL8QK6DYkf5KxGKdvNH6nWYWzCWlMEglBhlIKpktORAjp5+QTW1KM2prqszC3M84qMkemS949QBt4rGvvwTKhB9nOnMJbhpsUAGiJRrl1Srz6USF5n46W1aO0RYOT2alG/jV1U78PIg9XLPVm09rmtRYN9q+LQ72mhwxGB3Hdcb21A/6cB5rGYo4r7fqZ7jnNRgR40Pf/o81zo/+PghuyB8x/ff+5sk2LsGkWm5xLuCXvpJ3Tbys6Ta7roA9L0NgCCxYAVkzuvh4pk+JIme4zIjX1cWGmtP8KG9S0znpxI/NO9mwGwb7IEDpPWb14rsKUnX/DBftUqfoBHq7guzlhYGSU/DzRn4vy1g7sy72DRH8uNscEGr0kAV1BJn1UtGmx/VQxXo+XIDWQhxCeO640qFAp68RP0xfjpqJzynTPRH8u4+KxRt2N3qGRR7l13xnmMuPncSBLL92eQLg3G5kmpJybwkgk7CKnTomcOiUSRFx8vCWFdiMD0LGTbG2sEePnifujYxgdn0DsX77Gma1pWMxn09phWhAfOXUKJPpzkST2woGiWvz660okiLh4OkzIWBivRt2NZxf74p/SFqFa3Y0jpVI0afvm/aJ/oYMpRVXk4QIhyxlsJwaZH44rrKyAanU3Gjr68JP1iykbfIdK6ox0ioljibkyOzYQN9p0afcTE0CUDwe994dRJeuD2NONkcE2NDqOLR8XUX5HrB8X1gCatH20i8GcOgWeDhWC4+Jo1v0ZGB5Doj/XSJf267syPLfEb0HPlxZQEe3rgbO3W2m/I/zdPKlu7q9W9+DM1jTcUXbh1I0mJHV5IT1IAJ/eQVq7TwzwQr2ml2LbhH1/L1wETf992nn9tqILExMAy8melI1hOdpB1TOID65JYQUrSDW92HO2DOHebBzemISB4TEyAFf8o6dxQ9ZJW8TtfLWMsulzKjsVGz64Qr7rBkdGce6uDP/1fMy8fYfE+HJon1eULzXwEs3UjiZAQ8hTGM7JdPIUhM8SL+JObqhpUdaiMfJZzJFyMEema7GAjeffzzXapDPUdGYOrhsHzQm/39BXNyRbEGtLK6sH/4Cp15YPNvWZw1zX27R4KlQIjrMDEkRcsCaZztdbO/CiXh0I4jkZrp/pntNsRCxD/2PmSP8fBVfqlbSf59WrjApTzkfcVXXTzukXa+TTOp8laGyBBQsAo2Nj+HJnJvKkShROVtTNkAgwqqc1+KiYKe0/pp1sQxbpXMEDHUUlVkj6513wxhRmK92Gw/8U3MPprWnIrVNSUvdeOV6At9ZG6aVutmNrbBA+nGT/tnYN4OkwIWysrFDR1kG+JN/OuYWl3jpGhKp3EL1DI+QLVarpQVFTOwZGxhDixcIfLt3G1/dkOJWdiubOfuTVK5EWyEecHxcr9dI0JVw3xjTTSpkW2xMk0PYP4WKt4pEYOTOhFb6Q4MNyxrldWcitU6KwUYUUMR+ZwYIpi+ABgIuLCyMjsahRjdzvr8KlOiX674+iVK9wTGmLBj/+/DpeWuZPzwIK5KGxow/agft4bokvLlQr8Pdt6dh15ip8WS5Gc/cKiQCVMi0cbW3w84wlSAvio0rWCSsrnU3CCihv7aD9DZUyLf6wNgqbPyowYhhZpCrmL4h5OKdGhoJGjdE8bG1lhdNb01DUqEuHzwjiw5/jio0f5mN9uB+WT0pS3KDR7HzleAEu7V6J8jYt8qRKSup7VrAAaxf7wt7GGpr+IaQG8iH2dIWsawDXWjvwbxdu4sSWFLR09qOgQY14ERfJYi+MjI3jlUO5lOv4sJwhcHeCg621UaFSAvn1atxWdOEHKWEPHc/Ag7m1tKWdolFPZLFYtIstMES3WoEMiYB2LifshfBpjm1Kxu5PS4zm2q93ZeHMa+kobFCT4y3Kl4MjpVKE8txxcfcqih0CQNfg8JTzuoTrhr1fVeDzHStwR9kFZe8gBoZH8dbaaFypV8GlQY03lgdD5OGK9UfzKOe+IlVhR4KEDAYTCPdm48zWdDR39sHF3hYvRfijubOfoulMyMR1D43M2/fHkTIGKYkyKd5+NuZBOwbJiSNlUuzTazdVWzp5Ch+WM87tzEROnRJFk37Avz61zGiOK2/rwFc7M3HZwF+oaOuAr4GGaRGj5IaxTFdunYJ2ky5XqsC2uAfrrngGneZYP+MAJbFJIdX0oLy1A6/FBZEBLf1g8JpFQmyIDDAKfPUPG5MyiE19IrieU6fEWzm3aX0bRnt/LZ3SzpznNBsxle3Ohf4/CuL8uLSbGPEi7hPozcxje3wQbWHOM9OU57AEjS2w4AljJgJCoxPA9w4/2CU+UFSLP+fdxacGL8dHwUxppSYxFC8wZJHOBRizFudm8OZhNvwwZitdSh/L0Q5/uXIXN+VdlNQ9QKd3KW3vhaxnAP+6OgKHS2qRIubhUEkdjm1Kpmg4ATo7PLs9A7cUnfBnO5NO5c9XLMHLNE4jkcKf+u55nN2WjtUhQvDdHMFysgPH2Z5cbEk1vdgaGwTQLB5j/DwR6OmGzAMXH0nne6a1whcKfFjOyI4NfKiGsT4cHBxw+dbUGRWEjTvb21Cc1S/vtOFHqYto50gflgt+/XUljm1KxqVaBdR9g6htt8YtRRf2r4vDczRz9zvr47ExSoxqdTf25d7GG8tDEOnDQUGDCksEbEg83WmDGrF+nqhW0bPjZ6OcigWPD3w3J0S7juLVlxONvvN2d4K3uxNCeSzsSJDgUo0cKe98CwB4JUqM7SeLECH0gKOtjdGxsu4B/DnvLjKCBPhl1lJUt/fgTGUTfrd6GVaFCvH6qWLszQrH/bFxfHCtHtG+nliz2IecszPeu4AEERerQ4Vo7ezHmD8Xpc06/WN9Ftrbz0Zj80cFcLG3xeYY+nGbFOCFggY1zt1tw0vLRFMyjpnSo4n536JdbAEdBgYGkBYkmdLfTQ/i45aikzET6VKtApiYQJyIg/XLRPjtN5XYfKKQci5DLWEvVycjKRgCaUF8vFdYg7+8EAtZ9wCaOvtRJdNiaHQcjnY2WLNIiM0xgbhUIzfSJwZ0/ophMVeirxWyDrwSJcaqUCEAYPcnJYyazvPVL4nw5tBKSRim+C8RsGnbHaPREDVHnkLWPYC1h3ONNh8MpSSifDzxLI2/YMgIBoD0QAEO0xa3M94oM8zAIFDapKEEjQ9PBlgNJR/epwmw7kyQ4CU9/5v4TZ9uo65LY/y4FBkNAORvN0SVQeGvZLEX9mYtxU15J1aFUu2S0d7bOihZq+Y8p9mIZd70/V8I8hQpgTzGgqILAUyFOSvatAiZhjyHJWhsgQVPEDMVECpr0dDuEpe1aiB5TJIOM6WVGi70oH0JECzSuYSZ0oH+LvE4bJiuivTEBJA2qXdZasAuTw3k4b3CGlhZAZelSlyoUeDwRjE2R4unXKQ9v8QXFydT8lzsbXGdwWnU1/D7+p4MgyNjcLG3xYGXEyk2niT2QlogfTGNtYt9UdJEL6VizvOdDzYyX3D//n2TMyroNtHenizedb5ajkqZFimBPPiwXMgCeMQi/F9XL0NBg8pI/kR/HLR09uPbahk+rmjCxd2rsOFD6uLr6o+eprXLrBBv7Mu5Tfv7HreUkAWzD/39/Sa1I96zLva2qJjUBZwqWBvpw8E7hdXYd3kU53Zl4uPyRpQ0aWBjbYW9WeHUAFOpFOHFbHw2WQDylqKLTNEO92bje8v8kBbEpxT82pu5FK1dA+Q5mOSLwoUeuFSrQHlrB5YJPZA4RdCYaW5t0vbh/JsrEc6ghWnBwoa7wA8//+K6kcZrll4hxhg/T2RIBIyZSEWNagyOjGH76atkDYT3imrI7w39kHBvNkK4bpiAcXE9ItV8qTcbns4OFC174vszr6XDw9mR0X+mK+ZKwLCI20vLRIx+1nz1S2IZpCQMU/wJGQnDdnTSV+bIU5gqJaE/p+n7C1fqlUaF8GIZWMF0sgWmknUMtfP19YcNcY3B/77e2gEJ98G6tJBBaquoUW1ka6E8FtYduWwUiP58xwqj65tatNCc5zQbEevHYbBd8zVt5xrcHezwtxcTUCXvJFnWEUIPuDvYPemuzQgYbXya8hyWoLEFFjxBzFRAqKCBfuLIr1fj1WjTmXYPw0xopTZ29NKm2jRpe6cl7P4kMVM60N8lHocNM6V/cV0caJ3aOBEX4d66839S1QwJ1w3HyqR4+9lo/PuFKtprVLRp8fwSP/Kerw4TMupdEamepS0asvDd95ND0D14H3w3J6wM1skDEDqyxzYlQ6rpwY02LWWz5D8u0OtGmfN854ONzBf09/cjI8TfpIwKw020OBEXARxXZLx3Ab4sZ/w8czFqVD3YdrKYVhs7zo+LwZExxqBDQYMaVrBi1NUeGZ+gdZbtra2RFsSfMrXaAgsI+23S9uHIpK1MpTWfGOAFV3tbpAXx8dtvqnCiohFbYsRQ9gyif3iM9h1xuU6JwxuTcK1FQ9pospgHZzsbONjaUAreDo2OUVjOxEZLjboblXItEkReCOC44p6yC1JNL7JjA5EvVSHRn5lRxDS3XqMp2mSBBQSKmjuwMzFkykKMR0qleCnCH3eUnbRzrX5BXcMAMYEqeSd2JkqwJzUUAR6uOFBcCwdba1pf6di1erz9bBQ+u9UGF3tbbIkRkxqxtxRdKGzQ1fzguzkh9/tP4VKdgkLuYDnZm7whGifi4pOqZtp7M1/9kvfL6hhkJ+oo8hSE9NVNeScUPQPwdnfGMqEHrVQO4fdaW03AysoKExMTGJ+wopU9KGqkl5IoNJCSYG6nNgoaE7+pSduHshYN4id9FMPfBJhO1mHSzqfL2GDUmzUI2prjA1+ppw8w5zeokK1X3A4wvWjh3JenqGeQp6ifE/1/FHxa1YwXlonQPTQMB1treLs7wc/DBZ/ebMYPUxc96e5951jOtNkTMD2mtfWjdsgCCyyYPqZ6GT5OMOn3zEVdnyUCNn76+TUcv96AwZExHL/egJ9+fg2L+ewn3TWzsYKmojIwt4I3j8OGCXaC/jNddfAiGrW9OLstA4c2LMeuxGCc2JKC82+uhKpnAIMjYzh9ownLhB6QanqxWMBG7/CoUTVpAsliHgZHRin3PM6P3v4jfTiQanrJYk4DI6NY6u2Bfbl3oO2/j4u1CuzLvYPSFl0K9aqDF3GsrB6vxQdhQ2QAyTZiSm025/l+Fzai6h3E6RuN2P1JCU7faISqd3Da55rPMLxPnn6BZDDtZHYq3kgMxsnsVEZWPbGJduDlRAjcHMm04N+vicL4BODlqmNBGmpj66rc8zAxAUQwbITFi7iQanppdbUT/bmoknci9d3zlDGV+u555DeqsHKSDaWPcG82gr3cLfZgAQm+mxMS/L0oLLltJ4uwf10c3l0fj12JwTj4UgKOvpIMtqMtFgtY+MOlW4jx88TF3avQPTSCJDGPceOjpLkd/5N/j2KjUk0PHO1skFdP3YyUanopY4GYd49fb8DLEQG42tSOn35+DWGT83WCPxcxNDqa+niUudUyhy5ctPUMkht1pS0anKhoROlkNh/B7Iry8UDCX79GqBeLdq7VL6gLPNio1kdaEA/Rvp640daJodFxrA7zRijPndZX8vdwwbm7MkT5crA5JhCOtjbYHBOIi7tXwYfljLIWDW4rOrH7kxJcrJUjPYiPAy8nUvwVIuBn2FdDP4blZI8MmsJqgG7saPuH5t3YWMJn0973JQLjDEdbayv0DA2jrKUDPUPDsLW2oj1npoSPAI4Lmjv78XF5I5o7+xHAcaFlJSeL6YtkG/q7prYDgDQxDwEcF/DdHBDv5wm+mwMCOC5ICzRu29rZh/3r4nDwpQTsTJDg4EsJ2L8uDm1d1MwVc/wjU9el5szTUwXNDUEwiPVBxyBmWp8YFkGcrVjEZ9H2fzHffHmCuYZAT1eMjI3D3dEOQZ5ucHe0w8jYOII8XR9+8DzAssnNHn2Ee7OxVDi9zGwL03iasPnn40+6CxbMA8xU8bgUMX0KfQqDgzGbcXRy17Rr8D66BofxQrgf2E4OODYHd01TGKQNmBy/2YjHYcNM7AQvF0cEv/UZmep27m4bVkgECOGxcFPRiVuKLlyMXoX+4VGkBvKw/mgezm7PYKgezYeVlRV5rfPVchzemMTImnNzsMMSbzZuyTuxf10cbsk7kSdVYd1SP9pAeWmLBh+U1ZPMNlXvIPw9XEzW+db230dtew+u1KsQwHEhdaEft1a4RSPZNDzsPpmbURHhwyHTkIlU/Yu7VyHcmw2pppeS9l/SrIF24D52J4XAw5mebb88wAu7zlyFlRWMJAP0A8mGFccLJrNL9FnQUb4cSLjuWPf+Zci6Byz2YAEF+nMQEax9NToAe7PCsev0VbxXVIO/vZiA1HfPk8eEe7PxtxcT4M9x0S3CGXTfj02mLxMp+JE+HBworoWmb4jSlonlPDAyCk8XB0T7cvDPKxZD0TOAk9lpOFYmRaQPB6reQUY7Jn6Xi70tqZvcPzz60LnVMocubKSKefiAoRAjwX4kbGvDh/kPGPEGkkT6IMYCgXBvNgI8XOHuaIf9V+5C1TuIv34vDvLJ+dnQVwrlseBsZ4PtJ4toNbqVvQN440wJSls0jPaqnx2TW6dAZrA3o8RcZjC9X5Is5j1yHYfZCFNlJ8yZG5YI2PQ6xTuN9YezGO53pkFAleinUTsafzzSh0O5PtGW7vrLA7xQ194LjrMDEkRcsJzs4WhrjXBv48Cvqf5Rstg0vVlz1knJYh59sWGaoDnBICbWkmwne7CdHIwYxOawp2cjiMChYf+nGzicSzDHxucjmrV9tCzzFm3ftDKzLUFjCyx4gpip4nEu9ja0qcou9sZFbWY7EiZ3oa0noyDEfxP85x5rurxVQzuhV7R1mFT5fTbgcdgwnR52pA8HKw/omJn6zs5zS/ywITIA599ciduKLmj6hvDtGytxsVYOF3tbFDSoKfc0wd8Li/kslLd2wJ/jikgfDnktTBin8MeLuPBwssOVehUu1Mgh1fRiYGQU+9fFobRFgyuTxf4eFijPkyrx8y8rKAvGSB8OskK8jRYPsu4BfHWnDV2D9xHjxwXbyR7ZJwpxfHPKY9cKt2gkm4bHfZ98WM64uHsVvrknI8+rn2KfGOBFjiNi7HOcHdDa1Y9TW9NQ3tqBggY10oN4SPD3wvj4BMK92bTBNKmmF99PCiUL5fUODSM7NghsJ3soenRFHImFnYjtjJ9+Xk5hvVnswQJ9GM5B6RI+on09caRUiu3xQUgJ5GP1/16iHHNL0YWWrn7YWFvhmUU+tO+Ip8OEcLKzIYPFcSIuLtTIkSdVYke8xGjxv+1kEfL3rIayZxBX6pVwd7RHlA8Hx0ql0A7ex/NLfPGfpVJ8XNFEuc5UmQDndmUhp1aBokY13lweQjs/G8Iyhy5siNlOjBshhA+gP2Y+qWzCuqV+eHGZCIMjY1h35DJZTBcANkeL8dIyf3BdHHC+Wk76gX+8fAd7M5dC+usXcLVRg19+VYEkMQ+f71iBy1Ilrja1k21PlDdghURAa5dSTQ+eXeyD7BNFlM/p7JV4L8SxJiAWU78zbEfnl5Q2t8/LsUHITuRJlShoUCM1kIcMicDITzdnbsipo2+bK1UZFei9o+wy0tBOCeThrqobPmwXo37m1ilR2KhCipiPzGDjfupfX7/YaEmzBrlSY/3j8QlQ5IKAB3PrdDEyNk67Lh0ZG6e0M2edZE7QPClAt2bU9N9HeWsHYvw8wXZyMNJpJmz9tqILLZ39EHm4YOkc0rtX9gzi7PYMVKu6oewdhMDNCWF8FmrVPYDPk+7ddwtzbHw+IkLoge/pySgdv96AgZFRfLYjY1rnswSNLbDgCWKmisfdn3wJ810dkSDSBaX0P59LiBdx0dzZh+qeQVTJtIjw4YDn6ogwBqmB2Yyv78lxqKTOqKrtG4nBeG6J35Punkl4XDZsyE7Y/UkJZWFFQF/HTNM/hMtSFUQeLihqbIeE64biRjW+qZbj7PYMBHu543qLBkOjY1ge4AWbyQ0G4lrS9h7d33rj4v7oGOysrZEWxENhgxrZsYEI5bFIZlCApyvSg+iZD/qB8stSFcnK03++N+WdOPByItlO3j2A7SeLsDcrHNXqbnxS2YRoX08cfDkRJc3tcLGzxac3W/DSMhHefjYarMmxO11YNJJNw+O6T6reQeRJlbgsVeGN5RIUN7WT3+nbh4eTPT7anIKylg5E+XJIxhhhO4Gervhhahjk3QPo6L+PvuERnNqahuutHbhYI8fpyf/Pr1ch0oeDdAkfr58qNrKrZxdTVwnHrjUYFZqczu+0YH6Djj0W4uWOtq5+/PXKXdq5ukrWiRUSAa42tePEllRUyrQobFAj0scDEUIOrtSrIOsaIFNmS5rb4Whrg5JmDf78fCxljvVhOeNUdiquNrUjT6pEWhAf8SIuDpfUYYk3G8+E+aC0RUMJGAMPAjYrgwW4WKvAZakKaxYJEePHRf/wKDZ8QC0gaQor0jKHLmy0tzXh2SUSHCiumdIH0B8z+3JuY+3hXDy72BenstNwrVWDu8pubIsPwvXWDvzq6wqkBwnwo7RF+PPluwjlsfBUqBAOdjb43pE82sJeuXVK0me89fPn8N/592j7W9GmxSI+y0gzOadOARHbGWJPNyN712q1EIunLpRENyd8fe/R6zjMVthaW4Hv6oh4kSf4ro60shPmzA3FTfRSCkWNxkHjXKkKtjY28GM749UoMcYnJtCk7UdunRKrQoWUtj4sZ2THBhqdwxB3lLpsp2p1N6pkWmyOCcR/PBOF8zUyo7bmBMP1fZ4VEj6ZNWeIho5euDrYU/zvodFxdGj7KFrJ5qyTzAmax/hxsfZQjjHTe1cW7f3S9A+htEUD5zlGtgr3ZqOlsx9t3QN6wXF7LDWQLZiPMMfG5yO+utuGL3dmIr9ehYIGNX6QEoq0ID4+v9WCPdPQdLYEjS2YMZgr6TH25+zvqCezCzNRPK6kWYPsE4XkS1eq6dVpsW1OQaCn28NPMIvQPzxCu+N9ZmvaE+zV9EAwVvWZtMDc0jQGvhsbnorNa5gCeEvRia2xQfjwej02xwRiY5QYO08XI17ERYwvB+VtWvy/q7X42sAZLG5qx/ZTxUbj4t318ciQCHBP1U06qMCDRaEpgXL9Ihv6z/dHaWFkG23/fZyvkWNvVjgpWaA7QOe8nticin25t3GiovGxpXnOlCTOXMfjuE+GdrozMZg2Jay0RYPOwWG8caYEzy/1xV1lF6UCOmE7fDcnZAYLsPHDfPL7BBEXGRI+2E72+LZaBitY4UabFlZWoLWrA8VUG7LYgwXThYu9Dc7XyI3kUQhsT5BQ7J+w1Rg/LhL++jUS/bnYHBOIExWNAICl3my8HBmA28oubPgwH3k/eAqXahUob+3Aj9MXY9PxfKMF/pGNSdhztgy21tZQM2inXq5TolKmxZV6FSRcNwhZLvjlVxVIDPCaFivSMmYWNkZGRuDDcjZrszxmUv/0q7tt0PQP4R/bMxAh5FDm8kMlOps+uz0D64/mIV7EhYONNa2NFjaqMYEJlLZokOjPxT11N6P+fYwvB0UNarK4L4FIIQc//bwcAyOjj00+Yr6ODcN3OUCfxWBqcTUASAsS4FCJMVs9I8j4Xu1IkFA2uIjrn3kt3ezfon9OffsjznmaZi1lajCcuE+E751Tp8RbObdp7SvB30vX1o+LaD8Ovq2Wo6xVY8ReTpos5mXU78cKAAAgAElEQVS4TkpikPEjguarRa7g8Zil/gob6IvmFTWqaX/TXJVc6R8epayZiXcn3XOebyBs3HAtuBB+OwCsWyrCc4dzyd9/pV6F/7p8B1+8Pj15DpMK4WVnZ2Pr1q3kv9deew1vvvkm9u3bh+7u7mld2AILLNBhJgqq5E8W59Av2gEAefX0jsBsRmGjmsGJbmc4YvbC1MIj8wHm2jnTvVkZ7G3Eeihp1iDYyx39w6OIF3HRNXAfZ7dnIFnshYo2LZLFXji7PQOVsg7K+QjWp+G4qJRpcbC4BitDhPh+cihtQQ/9Imf6xWQImFJko7a9B+reB0V19HFL0YVKuRYOtjaUz6484phdSDb3KHgc90nfThP9uShr0dkp3XkjhB4obdHgnqobBQ30DKRKmRaDI2OIEHogcVKOp7RFg325d1BQr8IPksOwPMALiQFcdA8OM9rVpVoF1JOasRZ7sGC6yJAI0D88ijCecbGvzdFiVLR2UOyPsNWKtg5SZiojiI89KaG4uHsVIn04+LSqGVtjg3AyOxXtfUN4KlSIPamhuNHWQWvLxJxd2tyOWIbCSitDBHh+iR9ZIOyOshN7s5YyFuh7WBFXy5ixAHjgA7z9bDQ4Tvb412+rKL6Nvs/T3n8fBXtWw4fljOeW+OJ6awejL3u1qR2HNyZhY1QAymiyQACdT783KxwnNqfg9QQJLtbIacdhuDcbMb6e4Lg4QKrppXxOFON7HH4Fgfk6NqZi2urD1OJqgC6YT9eWrsBaeSv9/FfR1mHU1lRUtGlpz3mjzXheTArwMvoMgJGUQ5VMS+t735R3Gh1LyAOlBPJwo02n931uV5aRLx3OVMzrIUzZ1tbWKb83tYi3qc9+tqKIYZ4pmoNrZnPR0NFHa49NHX1PumszgrLmduxfF4fVYULY2VhjdZgQ+9fF4VrL9J69SUxjiUQCW1tbvPjiiwCAr776CkqlEnw+H7/+9a/x7rvvTuviFliw0DFTO5hpDLvfGXPQkWNyostaNNiRIJnh3jwazCk8MpcxHTtnYvNyXBxonb1tJ4vw+esrgIkJxPh5Yt2Ry7QpnUR/bsk7ES/ypB0XkT4cHL/egHcLa/DWmiiKnISpIIps1Gt6oB24j+UBPHCc7SlFNq7U69LnPrxeT3uOggY17o+OUT571DTPmZLEmeugu0/xQpZZ94mw00R/LrbGBqJrcJiiY0zo8yWLefB2d8ShDcvR3jcIb3dn+vlawkdrVz8cbW3INLttJ4sg6x7AxToFBofHINX04ukwIVaFCnGszJjFBOgCDneUXfhBSpjZjDkLLCBAjJG69h58tmMF7qm68cXtVqwIFmB1qBC/+KqC9rjRsXGc2pqK3Dol/qfgHtKDBHC0tcbbObdJmYuCPavx5icluKXoQs3edYwL9EqZFhKuGyJ9OGA72dPKBsX6cY3eB5ujxXgqVEhbNOlhrEjLHGoBASbf5tyuLErqO/F53v95Co52Nvi2Wsa4aVHYoMYdpS4oxcTij/ThYNfpqwjjsfCn52NgZ2NN+27JkAhwoKgaP05fjLHxCYQL2UgQeSGA40pKbr2eIIHgMdnufB0bxLv89QQJyVh8v1Rq5I8Rfp+h/q5hcbWp2h4pk2LfszGUtsT8Z6jNekWqwitRU8uIMIFpTr1Sr8Ir0dRzEoFbw7lVX0YCAEJ5rCl9b32oegdp5SEM1wWMxbw6p1fMi4CprPi5Lkc0n9bM5mIx33R7nI8I47PQMzQCVe8QKefp7eaEUB5rWuczKWhcVVWFs2fPPuhEWBhefPFF/OlPf8Jnn302rQtbYIEFM1dQJXZyR9vwhU+3+z3bkRbIp03pmqtMBlMLj8xlTNfOmWQv6Jw9WfcA6tp7sCEyAB9eq6e9Xn6DCmsdbMlF3sXdq2jHBcHAAQBvlhP25dxGAMeFUZuNDkkBXLjY2yAz2Bs16m7Ua3owyHLG/0kJJdvE+HLgw3ZmLKoT66crNkX57Y8hzXMmJHHmAwzvU3l5OQJ4MVMfpIc1i4TYEBmAanU3Ktq0SBJ74dimZGw7WQRfljOpz+fp4oBlQg/4spzR1tWPaIb52t/DFanvnqd8dmxTMlYdvIjkAB4OFtfCygrwZTvDbwq7IjZFFvHZyI4NtNiDBY8EWfcAPipvxAoJH797OoJR+sSH5Yxjm5Lhw3LC8+9f1guoSSm2nOjPRaW8kyxgU6XoZEy9j/ThoLhJjVAeC+uP5uHi7pWo1/RC1TsEX7YzYnw9ce5em9H74ERFI3771LJpF3G1jBkLAHrfxsXeFjm1Cnp2X5MaEk83CNycGG16eYAXDhbXorTFuMgpMMlG9eHgo/IGLBOy0T00jNRAPjjO9pQaCsVNamRIBHgh3B8Z712AL8sZf3wuGh9ca8CuM1cR4+uJvB88hYIGFU6UN6BJ24esEO9HLsI8H8fG+nA//N/MJShoUKG4sR3JYi/szVqKej32NgBE+XgY1bEobdHgZHaq0TmXerNp236wKdmorb4voa/N2j88YtTWVE1hc6RE6tt7aAO3DZpeSuD2Sj295EN+gwrZHFfK57kMhQAvS5WUQPhiARsbPrhCkRj436u1jyTNAZhexHuuS64wy6DMzTWzOTDHHucj7GysaeU8pyvPYVLQeGRkBHV1dQgODgYA1NXVYXx8HENDQxgZMZ6wLLDAAtMwUzuYR8qYd7TfNtj9nu1YJqQPqCwz2PGeazCl8MhcxeO286mcvYHhURQ1MhUYUSOY60Yep8/MqZpkHgdw3EgGTrg3Gz4sF2w7WUz+bWoWQIwfF4ruAah6BykFKNwc7GBrbQ1vdyfEi7ho6erHM4t8aH9PvIiLNz8pMfqNFswNMBVaIYJjpS0a8pm29w1ikYCFRm0fjl9vwMnsNFS0daCgQYUVEgEihBw89b+XKOe/pehCvaYH770Yj1Wh3pBw3XBb2YWylg5wnB2wdrEPwouZN0XCheyHFsuxwAImPCyDxHCePrYpGcfKpIxawjXqbjKAQrAwJVw3XKiWY2OUmHaOXBEsIAuVhvHcYWdjTc638RNcxPp5GqXhEsHr620dOLopGbcVnShubEfGFAEWCyygA51vI+G6MfoghQ1qXKxR4D/XRkHg5kRr0+GTUkUA1UeplGuRIPJCrJ8nnOys8f2kUBQ2quBWZ4fUQD6+ej0TF2sVKGlux4pgARbz2dj7VQW+utuGRH8uMiS6sXKtVXfuU1tTsf6ocZE9pkJgCxlLBGysPZxrfK92UrVBiTlPX3+XyW/LZGi7gkb/OMbXk3J9oq3h9c3J6ksJpC/onEyjFbxczMPaQzlwtrMlA9wDI6NGtsJo941qZMcGUT67Uk8vA5RnwJ7+tKoZZ7dnGAXsT99owi9XhtOewxSYyoo3Nbg8WxHlQ88Sj/CZ22tmU2COPc5HTCVNMh22sUlB49/85jfYtWsXPD09MT4+jp6eHvzxj3/EO++8g3Xr1pl9UQsssECHmdrBDPFyp93RPrRh+WO9zkzA2c4Gf3sxAdXqHpS1aBAv4iKM5w4nu7lV0dYQHM7006xmOx63nU/l7F1rbkeS2Is27Tg1kI+69l5siRGT6X3EuNiZIEGGRIDz1XKsWeSDZLHXZMC4iDzenCyAe8ou+Hm4YOOH+XCx1znaH1yrR//wKD55LR2AEwZHx7DlRCG0A8M4szUNd1XdKG1uR3oQH7F+XHi52uNkduq8SvNcSGAqtCLrHsBba6IQ4OlKPtMGTS/WH3uwgP9T3l389qlw/On5WNSou/H57VYydV8f5W1axIu4GB4dx7l7MuRJlShp1mBDZAB2nCrGwZcSSbuK8fPEyhBvZLx3AQCQIp4bix4LZicelkHCd3PCmdfSkVOrQM/QMFq7+mBlBca0fEJqQqrpJdPyif83TL2PnbRlRc8ArrW04+MtKfBlu+C331TCykp33OFSKa7Uq7A6TEi+fxL9uXhnfTx2nCo2KtCXHiTA6PjEd3jHLJhvIHwbfdkAqaYXby4PofVBiCyP739SiuObk3F0UzJKmtpJMkeUD4ei/yrrHiB9lH9/JhKnbzQhKcALL39gXEDvw1eT8fQiIZZ6s8F3c4Kbgw12Jkrwu6cjJjewdSnK53Zlob1vCAUN9AGF3DolUrlzLwvxu0QOAys2V6qibLyaI89RMqk3akjmKW3WYD3bhdI2l2GuvSxVYYve9c3J6itv1dBev6Ktw4ht7sNyxrldWcitU6KwUYXvJ4ciM1hg1C5ZzKO1ezpfI17EpWXAxhto078U4U+7ufGoTGPANFb8XJdccbChXzM72MztNbMpYLZH5gKJ8wmPW5rEpKBxQkICLl26hNraWtjY2CAwMBB2dnaIjo6GlZWV2Re1wAILdJipHcwUMY92RztFTF/cYLowNS3qUVAl7wTLyR4sRzvE+3mC5WiHodFx3FR0IpDr9livNROg3LMuzEum03dh50zO3m1lN1YEM18vt05ppAlb2qJBdmwgtnxUCAB4a20USprbse1kMRL9uVgh4ZNBZlPZ0UOj47ij7ML+dXGUlMIwHgt3lJ0I9nLHZb2FSPI735KbOmwne7g72sHD2dGsNM+ZGH8WmA4mhn1xo9pIJ1u/KJIPyxkntqSgWduPn31xHfEiLl4I90NKIA+bjhdQgsdJAV4IF3ogr14JTd8QNscE4r+/F4/rrRrk1CmRU/fAro6V1WNsfAK+LGdwnO2RacamjcW2LDAEnX0n+nPRf3+U/Ht/3l3clHdia1wgihvbKQFhQxABtdIWDf7ruRiEe7NR0qxL0TdMvc9vUGFVqBAcZwcIWc64KdfCy9URiQFelPTtbSeL8MuV4cgKFmBvVjg6B+/jhkEBKMIvCuOx0NDRi1ejA7H/yl2LnVvwUGQGC1CwZzUq5Z2k3UUKPSD2dGOUlShp1o2DZw/nYndSCI5fbyDJHHvOltHKZg2MjMLaygr3R8dQIaParw/LGfvXxeGGTIurTe2I9vXEUgEbwV5uSPTnoq69F02d/aiSaTE4yoGzvS2CvdxwsLiG9jcVNqqwWjT/WXjmgJmxqDLK1jFVnuNCjQKHS6VGZJ6diRKsj/CnXmeyOK6hpnJBIzVobE5W39f35DhUUoffPxOJjZEBKG3RkSjeSAzGc0v8jM7hw3JGdmzglNlJWQy+dyYNezqVgemcGkgN6E1VBDDEy52xL6bAVL9mLkuuzLc1szlIl9DbWNocYYk/KtKZpEloxqMpMCloLJfL8fvf/x5Xr16FnZ0d0tLS8Ktf/WpKZtzY2Bh+85vfoLGxEVZWVvi3f/s3hISEkN/n5ubivffeIwvsbdiwYVo/wAIL5jJmagfTwVa301gl7yR3lCOEHnCwfXw7jTNV1C/A0xXbTxYZvQSO0uiAzXbM1D170piunZsTqCLalra0w9XBFl/uzMTlOiWKmtRIDuAhM1iAHaeKkaNXGZmQCvjp59coOsaj4xMI4bri4u5VJmnI0SHcmwXt4MiUtppnUIiECF442dmgsFGNf0pbBL6bE1S9g8itU+JKvRLxIi5SAvnwcLKDl+uDe7FQbGkuwRyGfXGTLoWejglJMMn+9mICKW0BTG78BfIoLBwA2Ju1FB3998m/KZuFQjb++FwMxJ6ucLS1wukbjQ8dXxbbsoAO+vZNSD5Uq7tR2tIOZ3sbrAoRkm2srIDNMYE4XCpl1GldESxAlbwTP0gJhY21Fd5ZH4/bii5cqJHji9cz8W21DOWtHSQj7o0zV/G71RHYdrIYVT97Fhs/zDc6JyGJcWjDcqw7chkRQg84Mvg9RU1qRAk5yKlT4Ka8k7Tzo5uSUavutgSQLTDC+ARoNSPPv7kS53ZmIleqRGGjGiliHlZIBKiUaclN6zAeCyIPZ/w57y5OVDSSx7+dcwtf7sxEfr0KhQ1qLJ/cGLwl78TerKX47/x7lD4QPsyDPkhJ3Upbayva/p3Zmoa1i31pAwopYj4GBoyzWhYyzGHQmntO/fcz0zmfX+KLX2QtNZJoqFZ1U9qZ43Po6zSfrmxCktgLdb96wUinmYCsewA5tQoUNaqRLObR6l/fUXbh7PYMFDaoSd87JZCHu6pu+Biwp50Y1qVOBvMzY8G+RygCCCwcv2Y+rZmnAzobWyh010yGTZwVkull+ZoUNP7Zz36GNWvW4I9//CMmJibw97//Hb/4xS9w6NAhxmMuX74MADh16hRKS0vxl7/8BQcOHACg00h+66238Omnn8LJyQmbNm1CZmYmuFwu4/kssGC+YiZ2MO1trAEAQncnONhw4eniQPn8cWCmivrdmiyQY3id24rOR6qk+yRgaiGI+QBz7dwch864rW7RdDI7DQPDoxgeG0N+vZoSMAYIqYB+HN6YhPVH8wDoXqhhfBbGx93wnF6xJuI7U/X+eK5OyK+nT/+8o+hClA8Hif5cWgefYNxFCDlYFSKg/W1/ezEB4xMg78VMjT8LTIc5DPuVwQJsiAxA5+B93GSY46rknfD3cMF/PhMJnpsTlgk9cKFGbtQ2T6rEG8uDaW0rUyJASiAPqt5BZB0wbXxZbMsCOujbt2Hgipinzu3MpDCGw73ZRlry0b4cSLju+MWXFWA52uHbahm2xwdj1cGLeDU6AO+9mIBPKptxrKyewsgDgC0xgaj62bMob6Nno9Wou/H0IiEuTRYmc7G3ZWQ6JwfwUNCghrWVTpe2tEWDW4oulDS144ZMi5uKLvxz+mJwJv0nCyxgmhvzpEpUq3pwvkYOCdcNB4pq8ee8uzi7PQPrjuQB0L0LvnljJc6/uRKXpUpcrlMi0oeD1WFCvH6qGFtixHg1RowPrzXgUq0CUk0vuflCINGfi2p1N20fSprb4eXiSPtdcVM70oLoWXiZEj6U9dUICAh4vDdrDiMrxJv+Xj2ClKA5rNxIH45Jmsrm6BSbqtMM6ALGdPUZzu3KogSOz95qxaGSOuyI1zGiCxrU2H6qGG8kBmNVqJByzstSJbadKqYwrfdMFgLUZ08nBXjR+jJJjygxsFD8mvm0ZjYXxY3t2HKi0MjGTmxOgchj/hfCG5/QBc3vKLtwvbUDsX6eWCJgY7oqXCYFjfv6+rBlyxby723btuHs2bNTHrNy5UpkZGQA0DGV3d0fpBDU19dDJBKBxdKJMMfExODatWt45plnpjzn7du3Tenud47y8vIn3YUFge/yPsfExHxn56bDk7Rdf39/XGzsxna9l7NU04vSFg2ObUrCMwEsNDc3P9I1OBwOLkvpixrk1ikQx5qAVkuvY2gOIiIiSEaeIYoa27Ep0h9VVVWPfJ2ZgEgkIgtBGKac5UlVyPJ1RUtLi9FxC8F2XVxcUN5rS+vo5NTIEO06iv7+/oe2vdrUDh+2M5b7e+E339ygvVZRYzvCvFh4JkxIMtik6i7IugfpHco6OeX6TP135vmiiNFW1fjeIr6OQUTj4BOs58tSJfzYTpTvCe1EZe8geofuw9+qHw4ODpTxp6+vmFunRN/9EThYWyHZ3xM9ytZpFbB9HPPxfLBdc+6DnZ0dPtuaguKWDuQ3tiNN7IUkkSdUjXVo03sGHA4HcSKvhzIhK2VaONhYI4TnjokJ4J2Ce7RtS5o1ePfFBFrbivThQKFQILetn9auqto6ILLqI+17qrm9qaMPGo0GGo2GcTzMVn/J3H7NB9sl8LieCWHftR39aNL2MgauDr6UiBsyLc5Xy8gCj2cqm7A9LhARQg/87ItyCtMOAFZIvPH1zgws47NwW96Jskk2nmG7cKEHTt5ogqZviLaPlTItXo0W4/SNJgCgBK/pUla3nyrGoQ3LUdLcTo6JnqERbIgMwCeVTfjqbhsyxJ7okrfMeCHw6T63mbZdYPaO+8eF8vJyxrkx0Z+L/uFRrFnsg9QgPradLCIlhQob1NgRL8GRMqmOIFCr82cS2A5YtTYK8u4BtHb1o394FIMjYzhR3ogjZVSGq7796heNNMTVJo2RPiyB0mYNtAPDOLwxCd2Dw7jeqtOxTRJ74aa8A2IXl1nxDGfSdqeac52dnfHl/2fvzeOiuPK9/w+yN3vT0AtrQzeuKDsooCyiiUvMmMTEGDPuce517nMn996ZTJ7Jb55fMjeTee6MM5nJJGZM1NEYTTJjzKKJEhVlEZBFxQ1odhq6m6ZptkY2ef5oqujqqoJuRNnq/Xrl9YrNqVOnq7916pxT3/P57ExFVpWazBxPCRWio6kOKoX1WdkuLi6oGeQxZuXebGpFp6qBfKZKJBJcaDSwaCqrsNKPh6amJri4uODOfUdGneLCWjXmO/aSdXp7e+NKyyBrnckCW7S2to5dtrKZLOvi4oLkYGMixKFCBQ4VjpRNlgpw79498vyLFi0ix8fm/XpujQbPLpLg9u3b4PP5CJcYjdwIbxCFthPdfQNYJPZETU3NqHNLthh+HHPWqRC7kZGRo86Zt0RJUVrKPDea7pjOsc1jLKtKjfQA5jn2TIG4b03Xfg4XVpFrP6b3uCmjxa1Fi8YLFy7EV199RZreZWVlYcGCBWMeZ2dnh1/84hfIzMzEn//8Z/Lzrq4uuLmN6Ki4uLigq6trzPoWLVoER8fJfcNfXFxsvKCf3pnUdswGJmOg+6iY7NjNvWh8S2tjM/IfMOIgOhFZ/ql6MG51S5OLIZUGQyqdmMzZRJa3zklSX9jZ2U2ruNmwqBc/T6NvOSvXtMPHxwc+PhOrOT0eJit2//RFPuPn2TVavGimB8tUNiFIAF9XJ6xb6A9gdNONG01t6OkfJDPYPtq0FAX1I3IBxEA1v07LeH4mvrvTOEqGhA9cXFzQ39GGI5sT0dxhQHNHDzydHeDp7Eia760IFSK72tgO0+3fN5Q6tBn6sDDEF3N9jdpzqXqjRp1pmS3RIUiViUgH9fFuvSOfe9OMiY7d8V6HYF8vvBhjYjrhS3etPlZURWZC/jg2lNVESeLJw5vnbuI3ayIxNAQsYckUqdZ24MyuNJy9q0SRyZb+Q4UK/G5dNLJzjPeMeVw1dvRgyYIgzDOJEfO+nTimQd+FX11SGKUtwoJocTVV42aqtsuUR9XvPorvHuzrhb1mfbBpv/nVrUYotJ2QCdyw82QeAGB3ghzxwb7Y+0U+bSEYAK7Va7FjuJ89WlrPGOcJQQLcbNIhS6FizR5OlYnwcUElFktGjicynfU9vWjv6YfYwxlCN2dkV6uRvW81+DwHLA32QXFDK7Kr1RC5O8HVwQ7f3WsiM+we9xbm6RCzpkyntlqL6W9h2jea9qWF9VoMPBjCIpEnTmxNxvL3zgEwSqBE+/PJBTXT8YS6swd31O24WGmM57ggH3jzHGljiG0ncpG5dyVKlTrU6bohcndmfF6kyIRwd7SnfZ4QJMCWaCn8PV1w9q4SN5Q6LJP6IibAGyl/PY+18/3w8xgh5s2bN2HXbDpgSZ+7NcYVqwPd4Os7nOXqNX/c5/vTF/k4eOgyfvNkBDYtCUZhvRbyt09jT4Kc5nmQm32VsQ7jHG4pxGLxSJ35ldgZJ0NUAB8lDTrsO1WIPQly/Miszt8WGus0H+MSdZpmmhNlzRNczMt6dfYwLvCmz/Wj9ZcrQpmlNFbIhHByciLvsTO3G3Bqewo5T9qzVI7kECHuqdsRuUDKOresqakZdd75uOasj4PRYjdRyjJnDvHFnDlzZnRfHRugZ533TZU59qOEuG+Z136WWr2bxKJF46ysLJw+fRq//vWvYWNjg/v3jW/0T58+DRsbG9y9e5f12N/97nf4z//8T2zatAlnzpwBj8eDq6srJSulu7ubsojMwTGbeBwGQ6vCxHg+UkrTZ9Ubesc+2EIel6nfchZh++TQ6eeGGi72wjqG7WHfMmwPm8o8ihi2RpvNXFuTMBH79k4DNF09WBEqxHKWbXtLg32w82QeZeEi0MsFnk622BRBv2cs1TT24jlC5MFjPOcisXHRsLX7PmQ+HrijbkdBvRbR/t7wdHYky0X78+HFcwBA1y00X7xIkYlwcmsyo37h/g2x+PZO44zcejdTyK0xvhwYLRPyiXkSPBgawoZFAWgz9OK/10bC0DfAWNbPwwVrP7qIj55fhuxqDflC5MjmZQBG7pmx4gqg9+10KYKZqQXIYTlEPJm/hBC78/B8pBSb/n6Fotv67yvmU44zZ5nUB7ru++C7OCGY7wIfV2danKfIRLhaqx31non052PL73IYzcXaDH241tCKKH8+HGxt8b/PXgef54Avt6fgRyY64cQ9QeiJc/0oB8FoEi2EtvCJrcsRHyhAQb2WlEAhIMYz5hJbgDF+vxmWdzH9nM9zgKOdLbycHZAWJ0JP/yBj7McHCqC/30/+jbg3K1s68ElxDeIDBZjn64F3LtyixLi2+z56e5kz94m2zmZT1IaGhpFFYwaU+m5cqFSNaP/KRTQ9XwBYM1+CTRHBuKdpx+fXa7HEj4/MvRmMY8wkFk3lZDP9Y9M6Sxt1iPDnIzOKuc4MlnlhG8O80FJNZaGbM87sTie1j19ZGob0MDFjfCQOG7Sbx+2yYOq1XST2woZDl2j98Vc7Uml1AqbxqRrVXPxxzVknm1SW75kyw74nE2wSPOZmizMVa+5xS7Bo0fjbb7/FmTNn0NHRQfl83759rMecPn0aarUar7zyCpydnWFjY4M5c4z6qaGhoairq4NerwePx0NRURF27tw5ri/AwTGdeVxC/AnBPhTtKgCs2lXj5XGZ+g0+GGIUth8cr0jPJHJhWNPY/E3/pUoVtsZOD/fqRxXD1gzozCduPz1VSNPW/HpnKmPcdPf2UxaMjYu6nugbGHwoTeMwH3d8f0/JuFWwUd+NSD8+5D4eWGOqE4eRBbvmjh4cLqzCK8vCsCVKyqpbSCxeCN2cWTWyyzXt5KSVyUWbY/IxzbrZdiIXl/91FTIrminGX698kY/fPxUDDyd7JIX44r++LkakHx8nty5H0XBWJFF209ErULYbUN/WBZnADVWtnUbjPKlRzzhFJrIorgBj3354cyLyawW0oMoAACAASURBVFvQcb8PDfou2jEuDnao1XXNqsUDjhGIPnj/hljGlxCntqdA/vZpANR+nK2f9/NwQdoHmTj3ykqkyETYejyH7EtvNrUhKcQXkRIvlAwb1pnqJF9X6pAU4ouYAAEODS+0mP49IdiH0RjoyOZEvPFdKa5Uq7l+lMMiiHFvWVMbanSdcHGww0vRUnIsR8hkrZ4rgaF/AEkhvtg+nG1veh+wPbu/v6vEmd1puFBBNfX929UK7F4aBm13L/5+rYpxnPHd3UZ48ZzIv5nHPTFWM30ZotB24NnFgai5d5vx+84W87DxotR3s+oEmy8cRwcIKDrBAPsYk93QijoetqbOpVbMCy3VVFZ39mDtwQtkpvGHVyuw//IdxvjIq9Uwxm1erQaBXiNZvkR/TNv1V61BEN+Vdn4mDxCm8z+uOetk0zswyDj36R0YnOymPXJcHewYv7urg0XLn9Mea+5xS7Doqu3Zswdz586FRCIZu/Awq1atwi9/+Uts2bIFAwMDeP3115GZmQmDwYDnn38er732Gnbu3ImhoSE888wzEApn/hsPDg5zHpcQP7vhmppiOPCwPA5Tv/xaLbZ+She2/2RLEkK8p9eOhTsqPTL3ZtDeAp4rV0520yzmUcWwNQM6ouytZj3q2+gLWmXNenx3V4kn5vnB0D8IJztbBHi5IFTghjk2wImtybRzHC9SMNaTW6Ox6HvxXRyxQibC2oMXwLO3I2PV0D+Ac6+sBGA0AmE7x6ECBf5t+TxUaTvx5pMReOdCGeN5TBcvmFymE4IEcLSbgyfmSVBQr6Vkas/2jKGpRHSANzkpDPDk4bt7TfikqJpm/HWjSQdvF0e0GfqQEOyDG0odwiVeULYbKBIrfh48ZO7NQK2uE00dBmPGj1yE189ex9oFftgUEYy/bIzDL75l1vwzXxTr7R9EaaMOUQF85NWMaOSZZpYeKlCgVtfFxdEsROjmjIs/WUXuaDCF6NOOvLAMjva2lH6c6LvPlzchp1pDLhwQOrDEc+TYliScL2+Cq4Mt9iXNRYPegPDff0vJIM44kIn4QAFShvuy/sEHWCjyBGA0cso4kImdcTI42M5hXRRePVdCiW9Trit1kAncYGMD7Fkq5/pPDgDGGO7xGYC3qxN6Bx5QxnLbTuSisF6LvcvCsCNBhrKmNuxJkNPGM4T2pjlFja2QershNlCARKkPPJwc8Pus21gk8kL/4AOoOnoQxHclY9/0efHexjhI+a7Y+498xAUIWOO+smXkZUhpow57loahhrE1s8c8bLxcYJlrXVSosDWGmgiSw/JyimmMmV/XwrjAWlCnxUaTxWhr6rzIZuJYpabJ/bB/LzW2mswhC4bbaTqnmefrgcJ6LdYvDKAcn6VQ4WC+gha3uxPkFCPw26p2xnlSZnkTzLE2Ph/HnHWyuVylwe7Pr9LmzB8/vxShAvexK5jG/FDZjG0nxjZbnKlYc49bgsVL7W+//bZVFfN4PLz77rusf09LS0Na2vTags3BMdFcUhgXeZgyTSfyIZZTo2H8PLtmYheNHwdXqo3XzFzY/kqVGpujpo8GFQDsiJfh+aNXaG8BP3t5+SS2yjoeZQxbM6ATuhl1Kc21NQlKGnWwt52DHfFy2t+YzpHNsnBgzffy8+BRFr7/fcV8ykTRdJuqKUUNrUiRCSEXuCPuT2eRECTAjjgZozaX6SJwqkyIsuY2yARuaL/fj39Lnk/qK0b5eyN732rIfYwvVriMoanFoQIF9m+IRa2uC8AQq/FXXk0L/v8nlmCVyW93S6XHyzGhlO3/dAmJkYzP/7l4G5siguHh7IBUmWjUuDJdGIsPEiA+SIBALxdyq+xo8hYcswu+iyPyapn7tJwaDT58binj34Ruzmhq76G89CAg+luijIezvfG+qDOWMc8wjg/ywdoFI/qZxNZ9IvPN34uHQgYNZcC4KCzx4CGRZSv48lAh5vp6oLihFbCx4frPWYqLC11qoLtvkDV7XdPZgxtKHXZ8dhW/XRNJ06sFjFv1mfrhFaFCnLvXhP2X72BXvMxojjfcz4eLPXF4cyLm2XggXOxJeV4Qhrqbjl7Bkc2JsJ1jg0+Lqxm/T6nSOGYwf6nMBDHeo30+izLv5XL6GJIgd3iuxawTTF00tmbsfL68GR8V0BdYdyXIsHFJ0LjqzGEZf16ppi8o5bLMIXNqqIvGAV6ujPfB4c2JtGOXhxrHHuZ6q+ayCTviZdj098u0Oj//8QpanVx80iGed+bjyYI6LbbFydgOmxEQMW7+3afj2sd4sOYet4Q5lhRauXIlvvjiCzQ0NKCpqYn8j4OD4+FYM1+CzL0Z2BIdAic7W2yJDkHm3gysWeA3oedJlDLr9ySxfD6VSZQyC9ezfcepTEmjjvEtYGnjw7n2Pk4eVwxbivl2PYIIPz7E7jyL60kOZo6zVLkIuu77+Ky0Bnu/yMdnpTVQd/YwliUW3Gpau/Dj2BCslFMz0ZaxnCNR6oP/SFmAHx3Ogp8HD289GYllw/pvppjLdSSFCPFyTCic7Gzx27VRePWra/jpqUIczFfgJ/8owL/8swCEistoGRkcjxZ1Zw8tfpYFC5BxIBP5dS1YLPFCdACzOWlyqC9KlW2U3y6/Tgu5jzsZHwlBAlbZiZxqDfYsCyPbEObrwRhXch93VLR0YPWHP+DFT3JwML8Se77Ix0vHcyDzdkP2vtVYv9B/VHkLpsUVjukLU9yaY65HSZAkHX03YTDfBcdLamgvSdYs8ENTuwFn7zRC4OKIY0XV8HB2II3xiAziY0XV6OkfhNjNmO3Z3G7AxYpmVLZ04PSOVLyyNAxOdraI8ffGilDmhbEIPz4U2g5SMsMUow6iELs+y8PRoipcrW3h+s8ZgLqzB1/fqkepUoej16pYY9s09os77Wh/L25oZYwHhbYDMQHe6O4fRObeDMwXeZB/V+q7cfRaFV75/CriAgWMMRfs5YqnFhnNfI3x2Ump/1ZTG969chf7N8TiwLPx2J0gx3sb47B/QyyZrZ9xIBOujrZIDmG+B5cF+8DRzpZV/ov47r+7cIt1zDLWYvNMgPi9/uv72zh6rQpKfTetzKq5Ysbx8Oq59J3a1oydiflNQb2W0k+a96vW1MkWD8sZPrd0DlnW1MZ4H9wy+wwAlgYJkL1vNaWt2ftWIz6IOvZhu7dKGltpdbKN/2dDfLLBds8uY5lLzyTY43Z2qBsksWg3m2uhW4pFmcadnZ3429/+Bi+vEcdvGxsbXLhwYVwn5eDgMGKN/tTDkM6ih5Umm34PUsLQzNyddzoK27NtScyqUuOFaZI1/bhi2FLYNDKXSLwQ5GX5IlZikDdjPYlSX6R9kDlmhhmbsY1puXCJF2MsLxJ7IbO8Gcp2AzL3ZuDVr65BZ+ijZNSlykVINdkObaolt3qeBNks2xQvKVR4IVLKZWRMEmwZ3md2pyNc7InbKj149naID2SOvxWhIrx57gat3m0ncvHVzlSUa9ph6BtgzabMrdUgY66YbAMhL6HQdqC0UYdIfz4Wi72QpVDBxcGOMYYuVKqQV6vBB88m4P98f53xPJcqVYiNmR0D89mApTsT0sPEzGONMSbtbP12lB+f1H03mkQNwMvZEWI3qjFeQb0Whv4BbIuT4amPL+L9Z+IBGxsslnjhaTMTpex9q2nn2hIlxTOLA/F8RDAO5JXTtoInBPugoM64UPxStBQ3lMwvdrn+c/pAxPT+DbGMWr9EbFsS+3m1zDuTSht1cHe0x09PFVK0JM21b9Vd9/HZy8txsVJFkR944Vg2frs2Ei9GBRvlCEz69YQgAQYeDOGJeRJSnuLg80vxzoUy7DtVSJYLF3vC3dEBC8WejPdY+PDY6DdrImhZ8ubfnclQciaah5ljqVZxQpDlGqLWjJ3Z53Dj1zROZTEVZzJIW8FiKGa+wMx2H+TVaCgZyQAwZ44No3HzVzupBnes8ySFmiJjAcwecztrGG2eMdOx9L6ZqaSx3A9sL1fGwqJF4/Pnz+Pq1atwcnIa10k4ODiYsUZ/6mFQaDvwza40ZClUyKnRIEnqixSZCFWtnYyuvlMZRYvxu1wadid+ZWkYUuUiVGraaaYIU524QAHjlsS4QOYsw6nI44phSxG6OeOf21JwrV6LrCo14oa1AJ3sbXFH3W5xvHeoGhg1lYmFA1OYNNMs0VZr1nfjy+0pyK7WILdGgz1Lw5AqE2FoaAi+rk60jFFT3UIPJwfKBM9US87Jbg7roiEx0E6VjRivmTKbMzIeB2xxUdLYirO70/FDRTPezb6LFSEifL0zDXm1GmQp1FgRKsSyYB80txsQFyigbZ9XthtwV6VHdWsXtsWGwt52DmPf8vSiAIrGPZGJFh8owJ+ejgHPwQ5XqjXwcLIfdRu/TOCOOyo9UmQixq38y6S+sCH2m4LTz57uWKoV6efBw5nd6bhYqUJOjRpJUiHS5CL4eYy+y4NJw36lXIwzd0c0kgkpikZ9N6L8+fjnthXIq2lBTg1dC/lGUxvm+7ozanG+cCwbmXtX4kqVGgptJ3bGy1DU0Io3vruORKkvtsaE4pkjl2E3xwaxgd6IDRSgtbsXP1Q0AwAU2k7WrZ1c/zl9IF6MjWUGyhb7t5r1ZB/G9jyNDRTAzckOVf/7RzhcYPRJ8PN0ocVllD8ff7x8Bzeb9DQd++xqDf6wIRYx+88AMN5jn7+8HLdVehTUtyA5RIhbP38Kf79WherWTryzLhrrFwZQxi1GPeM2Rl3cck07gjxdGPtj8+9O3IPKdgPyajQz1jzMHEu1iq3xj7Fm7HxdqcOp7SnIqdaQhohJIb640aSjjGmtqfNqLbNOcn5dC54xGyffam5jPP9tlZ4y77JmXHlFwWJwV6VBUMxIndbMk0yfIxcrm5EmF48an7NhXFLf1oVT21OQXa1GXk0L9iyVIznEKGUXObxjZ6ZyW6VnjFtr5oLTmeLGVsZ7vESpG9f3t2jROCAgAO3t7dyiMQfHBPO4sv1OlNbhYH4lfvNkBDYtCUZhvRbBb53CngQ5lrNs1ZyqyHzcsZ7hjf9XO1LHOHLqkTQsOWD+FjBpGm0bmooZq/9z6TZuNrVhR7wMnk72+P2lOzhUqMCeBDkyGLYJMtHf38+oqXz2LrM0k/n3teS6LBR7YYNZFly42BPvPxOPMF93pMhEtIw2QpuL52CLJ+ePbDk01ZJLCBKwLmokDG/94zIyJge2uPD3dCEzKgHgo2EN4pNbl0Pm7YZaXSdaDb240dSGqADmLOR5vh7Y+mkufn3uBqp/9SPGMjH+3vjVd/Ts4IJ6LeztbPHS8ZwxYyg+yAceTvbguzgiwMuF8TyLxJ4Y6msHwOlnzwSs6ef9PHjYGhNCyywbC6b+1lSTz/QFx64EGUL4bmjqMDBqIV9X6hDpxzfqD5uhbDdg/+U7kLjx8K9Jc/HUx/Q++MvtKZC9fRq/WROJXZ/lwcXBjrwf8uu0eOvJSMa4j/DjY+8X+UiVCZEUIkRxgxZn7zbN2AWJ6cwlhRoygduYWePmsU/szqjVdVJ+a6Z4CB42qSN0XUsaW6Hu7MFtFX27fmyAcXHMXKIlLlCArt5+8HkOAICsf12FjYezaHr1J19ejnm+RvmLlXIRAj15uFylwdDQEFJkIiRKfbH6wx9oxrzvPxMPJwfm5QDz707cg2zazDMVdk1fqlaxNf4x1vSpX99uxFOHsrAjToZofz6yqzXYfjIPuxJkWLNgxGDOmjozK9h1kp9ZQi0bxHeFqqMHAZ48vBgpxYOhIag6ehBotnvPmnHlbTWzwd15M4O7JCnzvcW29Z54jsR6DEEqDWYsA8yecUmknzee+pg+Z/5658z3FTtV1oCD+ZW0+8aaueB05uzdJhzMr6Td43sS5DRjSkuwaNHYxsYGa9euhVwuh729Pfn50aNHrT4hBwfHCI8r2484j/liwXTMirlcxfwm/Uq1GlunWaax3Zw5eP+ZeNxW6VHU0IqYAG8sFHnCbo5FcvNTgqmYsUq0yXzyNRFt2hYbirLmNuTXjV63Jdclu1rDGMs3mtrQ3TuA7bEhyK1tYczkNNflNNWSG21RI00uBsCc2TcbMoYmG6a4SAgSsGoBXlKoUKrU4WcrFmDzsSs0SYmSRh2WSLyQJhfh59+UkMeqOnrw/jPxuNHURmYYLJF4QdN1n9Hoa2e8DLdVeotiyHQh5NDzy7B/QyzZlmh/PsLFXsDQEJlpbK2jOcfUY7L6eaZYLajX4ieJYfi0pAYxgd4UA0iCCD8+pHxXbIoIYuyvE4N90dRhwCWW2Myp0eDGf65DYb2W/Lvp/UBkXBJxnxziCynfFSs/yISy3UAuQOzfEIuD+ZU4mF+JLVFS/GVjHDycHSb4KnGMh1SZEH/Ovjdm1rh57NNNRiuRLhfhy+0puKRQo7BeiyUSLzLzHTDGVFG9FocLq/CX7Hv47OXl+H3WHbLOc/eacPylZLyWvghZChUZr8YFN1/87HQR9m+IRYi3K87da2KM2Wv1Wszz9WCVxsrcuxL/+PEKFNRrkV2twa4EOZYF+6DV0ItGfTdj1iHbfR/sPb3G2g8LmzmmuaavpeUA6/pUot5DhQocGlEeodU7njrNTcKY2upkZ4uX/plDi6l/mJnRPRgC47iD8NIwZXtcKJ4/eoWUTTheXI3uvgGaEbidrQ3LPMmGXqkJOp0OUim7zN9sGZfksMwz8mo0CPSaHjKI44W4H+6o9egbHCQ14afj2sd4MJ0Lm97j4/3+Fq1M7N27F++//z5+9rOfYd++feR/HBwcDweb4cpEZ/s9rvM8DnJZ3NnZMgGmMiev10Dk7gyJhzPiAwWQeDhD5O6Mk9drJ7tpFjMVY+tRtIkwgzlyrQovx4Qic28GueWaqW5L2sCWlXJdqUNDuwFvni/DXB9mo7LYAG/KZ+ZacttO5BoXLDYtxe4EGWmOc1etJ7/Lr7+/Ab6zA95ZF4VNEcHcgvFjgCkuUmQiVi3A60od/Dx4FDMYItvrSGEVnl0SBHVnD3gOdqhr6wJgXIS+0dSG5PfOkQZhx4qqkfzeOeTXa7FyWHcWMGbNZe7NwAuRwciupmYpUWOIarAEGCceBfVa/OpsKY4UVuHHsSF4Yp4fFK2d+PBqJXJbBqDu7EGpso3xu12qZNYq5Jh6TFY/n24Sq6bnTZOJUNighUzgTvt7ulyENQv8cK68CZ9fr2Psr5eHChHq7Ya8Gub7LqdGg/v9gyisH8lUJu6H9zbG4cn5Eij13ciYK8FraQvB5zkg+b1zULYbyPJlzXpUtrRj3QJ/ZO7NQEKwD37xbfGo5qkcjw5zI8ekECFcHOwwbxQzUKJc+vAkm81k9EKlCt/fa0KItyviArxxrKgaGQcyKfFQ3KjDweeXQmfoQ2mjDi9GBQMAaXabW6NBa3cv9iyVo+jVtfhsazIOb05EWbMev0hbiD9n30VNayejARgAMpbZFsMuKdTwdnFAuNgTO+Jk8HFxxG2VHjYY2YFkzlQc300GrP3Q8Et4spyc+Xox+cdYc20trfdR1AkAhfXMZnTXzHZy/FDRxDjuuDAs7WPKbZUe+zfEUozw9m+IxR019TwnS2sZ50mfldbS6rSG0bKyZxJXqtm8c2bW92QiTS5iNFscr6bvdGOi+2+LMo3j4uLGVTkHB8foPK5sP2t1nqYyK0KE+IhB34rNEX0q8+ziIMo2Q8DYoX9u9qZ9KjMVM1Ynuk1smTvf7UnHbZWesW5L2sCWFRLhx4ePqyMU2k5sOnqFYoAXH+SDmABv3B8YpByTYlYXsbD4z20r8PO0RXjpkxwU1GtR9OraWbElb6rCpt2aWdHEGAtJUl948Rzw7Z1G2t8K6rX4x406vJa+CJWadny7Kw2XFCr0Dz4gF7vMMwyK6luxM15OtkHu447tJ3Lh4mCHnyybS+lbiRj6fk86fFz98M3tRuTXtSDAk0cuhhj1jd1wvKQGTvZ2WG+yDZKIrc9/vAL/c+k2rf2zJdtjJjBZ/fxoGslndqcjv1aDoy8m4bbKmCEWFyjAyjAxZTsuMGKwlF/bgoRgH6g7e5AiE6Knf5AxMzAx2BeZFc2IC/Qm70tTeYw3n4zAZ6W12HYyD1uipHjzyQgkBAloGc2lyjb8etVi7PgsjyYnwPW5j4/RDEhLGltxeHMibg1n30X68yETuGPDx5egbDeQ5XJrNODZ2zH2xYCxL3S0nQORuzPkPm6wsQElHpZIvPDOhTIc2ZyIL67X4t2nY7FqrgSLxF6MRnwHnk0gdYwJyZTPr9diCYsOKdGfjrYYtiJUiJc/zaXdG+deWcl4zBwb5szRMZI8ZxwOw9mu5tfBwZZ6IXgOcxj9Y3gO9Bw9a66tn6cLzuxKw0WTetNkIpouqTX9tJP9nBFPjWG91+QQXzjZ09t6eXjhcWe8cZt/caMOHxcocLlKhc0mpt25wy8uzMcdOTUamjyH1NuNEvcASBkXU1jnSWZZztYyFXdJPgqWhwgZNaGn45zZWh4MgdFska2/m2lM9NrP9NkDzcExQyH0lz54LuGRZvsR5/lFjGhaZxXGDOt5mhIu9kS0vzfLEVOXogYd49v74kZmjb2pyuOK4clq02jmZSvl7DqVY7WB7S3wEokXwnzcUVCvJRcqiMwNTyd77P0in5a9mTisj21el7uTA87dM2rEJQQJcKuZWQbhchXzRJNj4jGPC76LI2ssrJonwbqFAUhlyP4BgMRgH7R03UdBfSuC3jqFKH9v7Ig3bjtmYpmJXrrUywU3TWQxoln61lCBGxYIPRDhxyezNYjMzQg/PhTaTiQECXCzibk/K2lsJbPqTOs1z3YwzwTksjGnFpPVzxMayR8+txRbY0LIjGE/Dx6eWRKMxRIvbI6S4q2UUOyIl+FqLfN23NJGHUoadSht1OGjfAVEv/4HlocKGWM+KcQXvxo2xjP/u6F/AHNsbHCuvInMIH7nQhl+HEvNaAaApxb6o1TJfF9cUsz8TK+pAtszPLdGg/ULAxDpx8fWmBD8ODYERwqrKFnCRB+2IlQIJ7s5iAtkHmsmSn2xQOQJfU8/rZ8MF3tirq8HPi2pRbmmHc8sCQLfxQlbY0JRwWLEV6rUIX7Y7KusWY/8Oi2i/b1ZM6MJWQG2LLpnlwSNuiWfiYuVKsbMUbaF6ZmKpdfhfLkKwW+dQqPegE1LgtGoNyD4rVPIrKBfL2uvrZ+nC7bGhA73g6GsRlaW9tM/VKgge/s0sqs1iJQY9V5lb5/GhUr6+Z9a4I/K159GotQHJY06JEp9UPn603jKTBeVbdyRyODTwibJdauZOrYtamDOci5h0Ku3htmSRR8TIJgxc2Zrsba/m4lM5NqPRZnGHBwcM4exdJ6mOocKq7B/QyyqtB2kvlWowB2HCxX47bqoyW6eVVypZn5wXalSU97ec0wuxCDe3OU5p1qDu+p2/K/l88f1IBa6OePoi0koa25DdrUGcYECLA32gc7Qi/7BBxQ92YJ6LQz9A9gWJ0PBsGaiqdGUUm/A4c2JyK9tobjkbjuRiyfnSSATuCHAy4XMBKF9x0k0LuQYO0OIzWDGz9MFCe9+R372XvY9fPBcAsIlXiwGdV5o7+nD6g9/wBKJF5zsbAEAMoEbjhQqGJ2Wu3oH8PKndD3Dk1uTcX/gAQrqtXgtfRGu1lKzLAkuK9R4b2M81i8MYM1+mi2mNByPjvr6evj4+LAuuhTUtcDH1RHBfFfs/vwqAOCt8zfx9c5UZFdrcKVaTbqrv3A0G+FiT2i7e8l74mZTG2IDBQjmu5KaxqbatoAxg/jI5kRS83uByBNf3WpgbM+lShWenOfHaRw/Biw1CDtyrZrmhQAYjUqJ/ilzbwZj35oc4osfMWREnntlJZo7ekhZn+tKHV40Gd+xtY3YxUG053KVGr9fH42NR7Io/XR0gDdWhomx7UQujm1JYn1WxAR44xffljCei+35T7TNPHN0to0XLL0ORDlz/xim6zXZ15Y4v7lOMtP5I/z4WMtgQH5mF9VMbbRxhzmEJJf5uDqvpoViLsg2T7pcpcYLDzFPmoq7JB8Fh1jGddNxzmwtbHO32dZ/AROz9sMtGnNwcEwrYv2NW/P4PEfEBwrICZe5xut0YFmwD+P2qGUMb+U5Jo818yXYFBFMc3lu1HfjQF4FIvz44x6A3FXr8deccqyeK0FDWzc+GjYt+PzlZBx+IRG3VG3IqdZQFoEB+hY6WxvgVlMbjhVVU1xyASA+yAeBXi6IC/DG6VsNVsecRDLzXYanAkRGAFMsmU9wlkl94Ofhgu/vKfH+M3HkdtFnlwQBAGq0nYwThZrWTrR23UdZsx4uDnakCZRC24n4IB9y+z0RQzY2wCtLwxizNerauqEz9OK9jXFYs8Af2dVq1u2eHs4OrN8NGMkIMR/czzRTGo5HD9u246QQIdJkQvzPpdtYv9Af/5Y8H/c07fjvzDI8HR6It9dEokLTgd9duIX/tXwelgb54M/Zd3GtoRULRZ7YlSBHQ1s3Mg5ksmrbljXrUavrwhcvL4cnzxFthvtYHipklMCI8OPjWkMrVoaJaX/jmFgs3Yr+7OJAHMyvpPRDADUrknhhUK5px42mNqQNSwydK2c2qMupVuNwYRWZuUz0h2O1LcKPj2NF1eS/4wIFyK9rGX45rEF7Tx+eiwiGp7MDUv56Hsp2A9lfMi2GeTg7WL0lf7Zs4R8LS6+DNddrsq8tcX7zZy7T+S9UMmdsXlSoKckLDW1d2L8hFnNsjEa4Q0NDeDBkw2i0yDau7u7rp5R7lPOk0cZcM4UFQg/auK6gXosjm5dNdtMeOSvlIsYYazP0TnbTpiXcojEHB8e0IiZQgA2HLtH1CnekTmKrxoc1b+U5Jo/oAAHWHrxA+51ObU/B9pN5D/XWOilEiN9euIU3M29S6k6UCtH/4AGWhwhxV91OWQRm2kIX7O0KkQcPf7h8B8dLaih1LQv2QXVrJ+bMsbE45pT6blyo9LrDUgAAIABJREFUVCG3RoNEqS/SnbtZt0NyPB5MJzjtPfehM/RjocgDeTUtyAgT4Y1Vi5FdrcErn1/Ff6QsxKajl8GztyMnCob+AZzdnY43zxtjLb9Oi7eejES42JPy/6aZT6+lL2I16btSpcb+DTHQGXpxoVLFGltMMhRZChUuKdRIlQnxxDw/lCrbkLk3gza4zyxvmvAJnb29Pa0NKTJ2mRmO6QVbpmW6XITLVWr09A/it2ujsPnYFVrm3OkdqVgs8ULGXAkuVDSjp38QW6JDkC4X4Y+X72JTRDDCxZ6QCdxwQ8ksI1VQ14K5vh5IcHfGHXUHwsVsfa4nPimuhquDLQK8XFHcoMXZu01cPFqINfcwW0ykyoSUelaECqF4/WlcqdYgr0aDLdEhyAgT4w9Zd8jjTLWtdyfIyf6JbctzUUMrmTFMyFScv6fEQpHnqP3mXF8PyjM/mO9KZrAffykZX91qxNe3GylZqhcrVVg9VwKhmzNSZCKI3Z1xU9kGfU8fLlaqME/oYVEfPdZ1m2lb+MfC0utgzfWy9toq2w24UNE8MiYLE1OkcMhy5mM3OV37GBgxCbve1EY+c/9nfTTkPm60smxG4zk11EXjRKkPOu4P4Eq1Gnk1LVgm9cHyECHcnejLTWzj6jO70ynluHnSw0FcP9Nx3Wy5frEzaL1gKsAtGnNwcEwrrlSrGd94Z1drEMR3naRWjY86nfGtvL6nF/qePng6O8DT2RH1ui7aW3mOySOHJeYyy5sQHygYd2aIurMH20/k0raarl3gj8GhIaz/6CJ0hj4c2ZyIAE8XhIs9sTxUCCnflWaW8mAI2Hkyj5RuKWnUITZQgAVCDxzIK8e1hlYUNbQiXOzFGHN1JjGn1Hdj7UcX4eJgXHD88GoF9l++gzO70riF4ylCV98Dylbo5yOlWG+yffS7e004uTUZdW3dyKpSYe+yMCSH+ILnYEvJcDLNmjtf3oRT21KQW6shs9tjAwUoaqBu1yYyk9Ys8EdX3wC5bdXPg4cjmxOh0HagtFGHZKkA6XP9GGUoiNj6c/Y9nLmjxK8yFmPT0csTbnbDhLsogJPCmMEwbTtOlPpi24lcXKhUISFIgEssWofny5vw3JIgrDqQSfn7ligpVs2TkPeLvqcXbYY+SgYxcV+sWxiA+ABvvJtzD1kKFf7v+mhGw6shABESPl79qhiG/gHs3xCLg/mVXDxagLVyNmxb0R8MgVbPligpXktfhL9drcBHBQpsiZJi9TwJY1bmv6+YDwDQdfeyjtmSQoRobjfg8AvLEOXPx6++u46/PhOH93MrkKVQoUFvoPSbK2RCJEp9ca1Oi90JciyReFF2GREaywptJ01KY4nEC/tOFeCdtVFkv5y5NwPPH73C2EePtSV/tmzhHwtLTeusMbez5toq2w2UBVZSHmJ3OmXhmBi7MclImI/d+gaHGE3CzBdtAaNeN9NuCUJHm+D+wBBlXGLaTnPYxtW5NRrKi2Iie9l8zMqUvcxBZzbPM2fSesFUgDPC4+DgmFawabKyvQmfyoSLPeFkNwfa7l4U1Gmh7e6Fk90cmmkBx+TCpjlY0qhDikw47qybLIUKFypVFKO7I4VVaO/pw4WKZpQ162lGeM52tvjPr4tpbcpSqHBP0wHAOBlZIRMiVS6CQttJZsutWeA/rGNLj7nFkpGsg6u1Ldi/IRZbokNIQ5/9G2KRX8d873E8foj4AMC4VV7ZbkDye+fAs7fF6jAJaXJzvryZYgBDxFderQa/TF+EEIEbmtp7SGOe+D+dRZiPMTvNz4OHzL0ZZFx03u9Hq6EXOkMfpa4jhVXYEi3FGpmANgEuqKPH1r8kzsVtlZ5xcH9XrZ9wg7zcOmZjndlkjjLTMTeDyqlW40Kl0XhutCzh4oZWlLd00OLjeEkNov29wec5IONAJn5/6Q4i/fiM90VXbz/a7vdhYPABXk1ZgBpdF6Ph1V11O2IDBSio16KsWY9yTTvF+IyLR3bGY3DEZBBmWg/xOyYEG2VJCGPDrCo14gIFyN63mtJvZe9bTZrOZVY0Qe7jzmg4lS4XISnEF80dBpQ16/GXjXG4UKGCtus+tkSH4MjmROPLiMIqbIkOQbjIE8FvnUJbTx/iArxxrKiaYswHAHk1LUgxM7wjspOrW7tIOQHzZ4NpH/3juFCLjJGmotHx48ZS0zprze0svbamz3uCsmY9LlZSzTTZZSToppvsdTbTyqaymMalmBn0XqxkrjOL4fyj6YybsjTYh3HMmhAkYDyeg8psnmfOpPWCqQCXaczBwTGtiAsUMOpbxU/DAUR33yDlTT/xVv7oi0mT3DIOU0bTyFw7XwK+i9O46jUdNJtuHZtjY0Mb1BB/d7a3hUzgxmjAYmrMlLk3Az8y25b1WvoiPB8RPGbMhfq4Y/uJXFoGyuHNieP6nhwTj2l8jLYIdvauEj39g6RkyaVKFVJlQsZsqL7BQQBAMN8Fr58tJesgsiv9PJzJjDVgJHYI4y+CgnotjhVX449rl9DaE+DlalVsBXq5TnhWcDaL3MZsNEeZLZj2tQptJ6nlbU58kA9yq5knlEcKFTixdTmu1ragoK4FtW1d+HJ7CnoHHuAFBqmL/Rti8fdrCjjbG6da5oZXxQ2tKGtuI/9tbnzGxSM7lhrbWVPPaMaGPf2DjFmZ515ZSdZz9q6S3LVB9Ktr5vuRGe4AkLk3g7IjhKiH6EOPFVfhxUijWdGhQgW2RIcwGvOlykVYKRdBJnBHQV0LxfMgVSYknw9sz4aCei3+XliFhCDOP8MSrDXCm2hzO0vlIdjLaSjmctaW7e7rx5fbU5BdrUFurQaJwb5IDvFFdy9Vf5htkS6nWkPrcy3VdH4wBMYxK3HvcYzObJ5nTrZu+EyDyzTm4OCYViRKfRjfeC8Nnn6D3+tKHeNb+RtNzAtAHJNDCkuWxaq54nEvGAMgs5TMeTA0hESzbX8JQQK8FG3cJqvQdjIa+NzTtMPFwQ6/Xr0YbT29tNhyc7SzKOZMTX9My9wyWeDgmFxM40Oh7cQSlm2Gq+dJIBO4kVk5zy4JGjMbyjzele0GHClUoKiBOUPXNEOSIEnqC4PBAHNGiy3zOhKCBKzlHyYLM5nlWcFNJGYuzy4OJP8/v06LqOEsYVPCxZ5YIPSAhEEnNCFIgFVzJfiqrB4eTvaQePAwNAS8dDyHdQtsuaYd83w9sDSY+YX20mAfGPoGyX9H+PFJ4zWAi8fRYHt2WnvNiHpGMzbU9/TiBstzk+iHUmVC2q6gUqUO2dUacsF4tHMQfeiKUCF8XBwBGON0nq8HY5yuCBWC7+KEQE8e2YcT2cgKbSf5fGB7NiQECbAtLpT2OQczRJwcfmEZyv5rPQ6/YDQRYzLCYzz+Ie9l4vckxoHE8zxJKmQsZ465jMToddLLFta3Qvb2aWRXaxAp4ZM7l641UOcqy1ierUymdWzjavOde+PZVcAxwmyeZ1oaYxyWwWUac3BwTCs8nR0Y33jzHKZfd8ZmMJVb00J7088xeTwqXT82IxRvF0ekh4kRLvYkNY0Jg7Ce/kH8/im6WUlcoADersYF7BtKHfzcjVttt53IJbe1ejk7jBpzzywOws2mNtYyeTUtkAvccORaNWfWZCGWmtdYy8rh+Chr1lNM7Ey3Wp/cmozq1i4o2w2kyc0isSd+/k0JAHo2VGmjDitChSioa8HhzYm41dyGvJoWY1ZbmBi//LaEsS3mGZLhYk+kyUSoq7oHgcA4EVV39qCmtWvU2EqRCSntSZGJWMtfrFShq3cALg62VsdhYpA3Z+40CzA3OMvetxr/froI76yLQqW2A0dfTMJtlXHxIS5QgESpDwx9A0iXj9xbhAZsZUsHvrhRh8USL0T6Gxd3z5c3QSZwQ3FDK+P5ryt1iPLnY7GEzxhv4RIv/FDRTP7b3PhstsXjRBjbrQgVWtXnJoUIxzQ21Pf0obCe+Te+UNkMsbszWU9Zs57sV19LX4QcC3eEXFcapa7mCz1xo1mP7H2r8cKxbHKXB5sGcbjECzebqS/WuvsGkC4X0QxOzeP5cGEVqlu7EB3gjUMFCkT6eTFec840FFg9T4S6NzbiYqUK7165i0SpL+re2AhXR2ru3aMyt1s1V8JoWhfiTR0HEr+7+fnTZPRF64wwMWOdUgatV+I5fKhQgUOFJp/XaCiZztaY1lk6rp6oXQWzldk8zzSNsYuVzUiTi2elJvtEMf1WWTg4OGY1A4NGAyievdFI6UDeiEnXdCMx2IdZ9oAlW4Bj8iC05yZykDraoLm53YD3n4mHF88Rmxm2PptvzesZGKRs+2eSDihu1CFZ6ssac//34i1kVjTjXxLnMpZZHuqLV78qRkG9ljNrsgBLzWvGg72tDUViolHfjS+3p6CgTotLVSq8umIBRUoCME7eLv5kFeuWve3xMooURHygACkyIVbKReDzHJEiEzGa4SwPFcLZzhY8BzskhfhiRagQDrYjk2lT87ufsMTWCpkQq8LEiPDjk/fCSrkY58qbGMsnh/jirznlKKjXWh2HHaoGztxphsNmlPb1zjQ89fGIQdjZu42wgQ0+yq/E7s+vIlzsiQ+eTSDNSROCfRjlVL7fsxLny5vw4dUKVqmLCD8+iht1cLK3o5idElICVS0dWCD0wPGXkpAcIkRJYyv2JMhnZTxaa2zHZjj24MGQxX2uqREtk7Ehgb8nD872doz9UISEj198U4I//yiW1p5EqQ/KmvXkcaPJoiRKfbFA5IkNH1+Cst2AcLEnfvhJBv6YdQfa7vt4dnEg9iwNs/g6ONnPwZnd6bhYqcK5ciU+e3k5SpU6zPX1oMQzcZ33b4hFxoFM2tjC2t9lptLd+wDrWAzmPE0uw6MwtwOAwSHLTOt4DnPwza40ZClUyKnRIEnqixSZCDwH+sbyB4DFRniWbvOvaulg7OuqtR2MpmuWjKs5iYGHY7bPM4kYi/UYglQaPMmtmd5w8hQcHBzTCsLooaBei+MlNaSJDJPRw1QnVc5mLjG7MoxmM2xGKJkVzfivb4qRzbL12XxrHtsWPlPpgMJ6LWvMLQ8VQtluNBiL8vdmLBPp5z1mOzhGsNS8ZjyYS0wcyKuA7O3TELg64cPnlrJuSfyhsplxy96WKOmwxurIMQX1Wvzu4m38MNzeNJbYEbvz8OWtevxmTQT4zg741dlSFDW2IjTUmMViGpvRLLEV5e8NvosT5V7guzgiOoC9vOn3siYO+/v7OXOnGQ77lmYVePZ2pFTApyW15DiCKHOruQ2/OluK0kYd6330ze0GhIu90N03wCohMNfXAx8XKCAXuOHVr65R5GBe/eoaQgXuuKNuh8DFCX4ePKxfGDBr49HaLehsEjs/VDaDZ29Hq4epzzU1ojU1NjQlXOwJuzm2rP3QXF8P2NgAdfpufHi1AqWNOrI9kX84Q3mWjiY3Eebjjvg/nSV3BZU163FdqTPpC5llsNiuw4VKNfw8eNgaE4LfrYvGXF8PvBApRcUY8hjENXdxcRnX7zJTscZgbqLN7UYvSzWtO1+uQvBbp9CoN2DTkmA06g0IfusUMivov5c1RnjEmMFUyoIpgzouyIexr4sNHL98ICcx8HBw80wjOt3Ml+N41HCZxhwcHNMKa8wbpjpfltUzZgV8WVaPnybPn+zmcUwiuTWaUbc+sxmwmHOjqQ274mXYGhOC+CABzt9rYoy502X1iPbno29wEEcKFYzZIocLFRQZAqZ2cIxgqXnNeGAz3PnnjTqsDBOPuaXTPBtq9VwJfsEiP0EcQ2RRfXdXifw6LZYF+yBc4oWypjbsWRoGVUcPmjt64GRni6aOHtwfziwi2iITuLHHVoECv10XRTv3oQLm8kfMYpGLQw5T2OI/Z7hftbEBq1RAUUMrZAI39A4OIp9la29RQytuNetxeHMiqlo6cHhzIsqGpX1SQoWI9OfjcGEVDm5aiiEAf9kYh1vDC4FbY0KQEOyDIwUKHC+pgYuDHVaGiSfqq09LrN2Cztb/Eb+vuXkcU59rbkT79OEsHNmciFpdF81cbkuUlOwzL1Q2I0Ji/Ntr35bgwHPxKG3UwcnOFkv8+Jg3fAxgNE/87OXlKG5sxZUqDTRdPfh6Zxqyq9W4UqVGktQXiyRe2PDxJYu/uyXXYazrZo6pxNClShViY4Sjlp9t/e2jmHdYMz6w9PzE7/Wr765TyjH9XtZ8J6GbM87sTielNF5ZGob0MDFtQfyT4mqc2p6CnGH5wL3LwpAU4ovjxdX45cpwxvONxaOSh5stcPNMjomCyzTm4OCYVlhj9DDV8eY5MmYFCB7CXI1jZpAo9R3V4MxSA5Zofz4a9AYcK6rGT08VIjHEF+s/uogrVUZDkytVGqz/6CJWzZWguFEHhbYTQXxXiqEPYbIjE7hRjJqY2sExAntf9fAZHmMZ7oz1d/NsKA9nB4tMfIRuzvB1dYKhbwDZ1Rr8MesODuRVoH9wCC8dz8GeL/LxUYECez7PxxN/uwB1Zw9Z72ixFenPHOeRfl6M5YP5rpxpGAcrbLGcNNyvjta3xgR4k2WiA7wZy0T48XGtoRX5tS2o1HaitbsX2dUaGPoG8Ofse3gwZNQd5/McsPy9c0j563lKDOfXtuDa8AtBLnatNxAb6/elf04vb14HYWTn6WQPiTuPYi4X6c8n+8yXokPIv72zLgo7TuaR/d5PTxXi1a+u4cjmRABAMN8Vf7h0B462thC7OaNc3YEXjl7BX3PK0dM/iHlCD1Ro2skMY0u+uyXXwdrrZmrCmCoXobe3d1z1z1QexbzDmvGBpee35vey5jupO3uw9uAFbD+Zh48KFNh+Mg9rDxqf76aEertCbmaYJ3/7NEIFbrQ6rYHbGTR+uHkmx0TBZRpzcHBMK6wxepjqxAQYt3iZZgWEiz0R7c88UeWYPaTLRdh/+Q65nXUsYxU2A5ZwsRdyajSwsQFCvd1Q0mjcbl3WrKcYmpQ26nB/YIBinLNI7Ilofz6c7G1h6B/AQpEnmc2UECRAikyE9Qv8H+2FmMakm5jVEYSLPZE2ARPusQx3rDXkseaYCD8+Xj9bSpbbGS9DXVsX6zbmtfP9sSVKiqrWTqSECrElSkqRBPj1qsVYxxJHRJtMM+ke1jQsMDDQ4rIc0xO2WE6Ti/GHrDsoa9bTzCOJMqECdxTUa5EQJMDSIB/GMnN9PWDoH8BcXw9kHMhE9r7VuNZglMpKCBLgkkKFn54qRObeDJpBmmn8ctusjVjbX7H+vjIR/pB1BwlBAvIlZ3ffAGOfy1aHyN0Z35c34cexIVgk9kRhvZbSDinfFYb+AVLihE3u4cWoYKTIRJhjA8z1dcdbmTcpZQ39Awj0ckGgl8u4jTkn6rqZx2NjxZ1x1T9TIeYdLg521Lh6iHkHMT6g1ckQq5bOe4jf64XIYMQFClBYr8XJ0lrG38uaudRoMiWmGczE+U0N82ZjvEwluHkmx0RhMzQ0NDTZjRiL3t5e3Lp1C4sWLYKjo+OktqW4uBjR0dGw/Y9jk9qO2cDgH7ZOdhMemqkUuwREDE9nlPpuXDTZapMmE8HP02Wym2U1r31bglVzJbSt15nlTYxbtR8nUzF2HydT4T5R6ruRX9eCEIE7bjW3Ia+mZUxjlStValyuUiMuUIAkqS/sbW1wIK8CC0WeWLfAH6+fLWU0xdiTIMc766JwrrwJms4ePB0eiIuVqhFXb7nRTCWnRgt/Txc0t3djocgLl6vUlDJT4T58VLE7nphQthtwsVKFnBo1kqRCpMlFD22CR6Du7BnVFZr4uzVbOpmOmWMDXK1tQYCXK8qa2nBH3Y4dcTLcUesRxHdFd28/jhVVM5pI7U6QI0UmQpQfH0UNrbhSrcLyEBFiAr1x/p4STy0KRJZCNap7vHmbEqW+KGlsxdk7Stbvpe7sQZZChUsKNVaECrFMatRUvKxQj+lUP5k86n53KvRrj4qbN29CKJUjS6FCqbINO+JlKGlsxWWFmhInRDyVNuqwLS6UlA5IkQmxPESI2yo9BK5OqGrpwDyhB+xt5+BqbQsK6rRYJvXBIrEX6nVdmCf0wOHCKiwNFiA+0Acd9/uNL+gAFNS34GC+An4ePBzZnEg+4+ODfJAqF+LDvEqE+bgjOcQX7o72aO/tR061eniBUoQ0uYgS09PhdyNiFwBrW03vy1SZECmyke9p7CubR8Z1cuP9yXYMW/+m1Hfjgtmzi+25xFTHgwdDyBzehk/0E7Y2Njhf3oTcGg2eWuiPCD8+anTdOFZUxdrvvb0mAt/eUSKX/D4iFNRpca6iCctDhEgJFeLqcMb5jngZSpU6MlYTpb4obtDi7N0mpMqESAoRUv5tet2s7edNy6+QCRHl743DBQpE+vPJY03jbTzPkemEpX2upXFlTfxZW9aSec+jqHPvF/ms48YPnkugfDZV4mU69JkPiyWxO5XnmY+T2RAPozER359bNLYSbtH48cEtGj8aZlLHaTAYwONNrUm/NZwoqcFLx3MQHziSFVNQr8XxLUl4IUo6qW2birH7OJlu94my3YA6XRc+yCuHDWzIWDJ1Rt8SJcWT8/3w0vEc2vGmMWfu6g2MuGrbzbHB6g9/wKntKdh4OIteZlfapC8cT6VF48dBTU0NpNJH01+oO3uw+sMfsH9DLF796hrl9y789zXY+VkeXBzssCU6BD89VUg7/viWJMh83LHrszzGWFlr4khPfs7gHj+eNpvWq3j9afyIKV4f8lwTDbdoPH5qNW14+mgO5Td+MSoY722Mh4ezg8X1MMU88YwO8XbFz1YsoNRnGm/xgQI8MU+CUIEbXv40lyxDHL9xcSAWiTzw5vkyKLSd+M2aSDjZzcG//LOAFpvnXllJLrZMh99trEVjpvuS+J4AsPrDH8CzH8m6NPQP4MzudMZnkem1MWW0Z5cl9znb8e8/E4/k985RPruybzW+u6vEi58wP0/P3G3EpyW1lGNO70jF//fddfx2XSTWHrxIi9V3fxQHDA0h7YNMWhuI5/hY12AimA7xNlFY0ucq9d3Mzyqz8Y6l5cZbNjZAgGh/PoobdbjWoH2o8xP3o/k9xxRXn5XWMMb5ia3JU1bbejbEsCWxO5XnmY+T2RAPozER35/TNObg4Ji23L17d7Kb8FBE+fPJrdfEdu1wsServicHBxs3lDpcb2rDpyW1lK3/Zc16VGk7EB8oQFVrJxlzppjH3Giu3nW6LsQFCpBdrbbYTZzj0fIoXaGzFCq4ONjRtmEnBAlQ3NiKsmY98uu0pIyKKURcdd7vo8VKXKCA3ZGewT3e2jab1rszXoYrbPH6kOfimDrk1rXSfuNPS2pxrrzJqnqYYp54Rr+VWUarzzTeCuq1OFfehLhAAeV+KKjX4mZzG9ydHJBZoYJC2wkbG6CtpxfXm9pYt37PJEbb4l42fA1Mx0LG+7MZPHs7xmOYGO3ZZQlsx99oakN8oIDy2Ve3Gsnt+KYQ/Z7pgjFxzJUqNdLlIvzAcJ5PS2pRUKdFJksbyjXtZBtmYnxMZVifVWbjHUvLjbfsoUIF/vVUIQ4VKh76/MT9aH7PMcUVW5xzshNTH26eyTFRcIvGHBwcHJPEoQIF9m+IxXsb47ArXob3NsZh/4ZYHCqkb3fk4BgNVWcPbiiZFw+LGlohE7hBJnCzKOZGc/Xu6R9EtD8feTUtLGWYj+WYnlxSqCETuNFiSyZwQ/GwkRcAbDuROxJXCTIceWEZvt2VhkOFCsyxsaHVG+3PHzXOHrbN5udij1du4WWmkF3L/BtfsvLFAFvMs9VnHm8ygRuKG1txeHMirZ/ddiIX15U6sj9u7+mz+DzTHfPrRH5eqUK9nm4EBxifJzIGEy22a/OwfQrb8cRvZl6n0M0Z515ZiYOblpK/88mty3GIQbICAHJrNYgJELD2R80dBtbrZN6GmRYfUxn2uNKMq9yjKmtNnaPdj+YQcX5iazL2JMhxYmvyI81055g4uHkmx0TBLRpzcHBwTBILRZ7IOJCJJRIv/HZtFJZIvJBxIBOLRJ5jH8zBYYLIzRlL/PjYGS/D+8/EYWe8DIAxy/J/LZ+PBUIPKLSdZMyVNuoQ6c9HaaMOGQcysVjsRdZFuGqb15UkFcLZ3hbFjTpsWBSAl6KlSAgSUNrxMG7iHFOPVJkQCm0nlvhRs1IU2k6j1MlwDDwxT4LKlna09/ThuSXBkAncoDP0Yv0Cf7g6GjMFE4IEZHlnezu8HBuKhCABY5w9bJtNz9fW00dqGpvzsOfimDokB9N/44QgAbbFhVpVD1vME/G0YzhOCbYNxzFRJlTgBqGbE67WtuBYUTV6+gdxrKgaGQcyoWw3IMKPD4W2EwptJzycHWjnIdsxAYaZUwnivqR9Lhch0JNZOiJJ6guFtpPxGCYSWZ4/lt7nbMdH+PGxMkyMzL0r8d9rIgAATy8yGmoK3ZwhcnNCT/8ggrxc4O3igPUL/WnPRgDYsDAAOkMvNiwKAEDtEwFgvtCTEk/mbTC9FjMtPqYy7HHly1iO/kyjH29pnaZl/3tNBCUG2c5vSZ3mz0ki5tjiSujmjE0RwfjguQRsigjmFoynCdw8k2Oi4BaNOTg4OCaJ9QskqHtjIxTaTvzyTAkU2k7UvbER6+ZLJrtpHNOM6ABvrF/oj0SpD0oadVgVJkbdGxuRJPXFu1fuQuzhjE+2JOHJeRJk71uNiOEF4wh/PrL3rcayYB8o243ZXk/Mk0Dx+tNkXYlSHyhefxqr54oh9XbFtthQ6Hv64WRniy3RIcjcmwE/Dx6r8zbH9EGp78bRa1V45fOrOHqtCklSXwR5uVDkJ/w8eHjryUh09Q1A5OaMQy8sw4pQIUoadRB7OGOurztCvN1QqtThk+Ia3NN0QPH609izNIwsbzfHBseKqvGvifPwHykLUN3aRYkzU9SdPfistAZ7v8jHZ6U1UHf2jPod0uQiZO9bjS3RIXCys4W7kwPS5GKkm02Gw8WejE71HNN2GduBAAAgAElEQVSTxCBvSoxm7s3AyzGhOFxYZVHcEKTIROjuGyBjnqhra0wInO3tUNnSiXuadrz2bQmOXquCo70t/mPFAlS+/jS2xoRAqTdA2d6DJ+dJ4OpoR5ELChd7YonECwX1WuTXaeHl7IgIiRfj1u+lQT5o7qC32dr7Yaow2hb3cJZrkCYXw9A/wHgME+lhYpZ6mO9zZbuB0t+ly0V4PiKIUuYny+RYv9AfAPBZaS0k7jzUvbERTnZzyN8gPtAbv1sXhVCBG76+1YhPimvwckwo+Wz08+Ahe99q6Hv68UlxNfT3+8k+0cnOFnuWhkHx+tOo1XXhyLUqyrHEd5jr60GJI04a4PGRLmeOXfPxzuq5zGOnVWH0Mf1KllhNl4tpZZ+cL0HtGxshceeRMVj7xkY8MY9ar6XtBOjPyS3RIcjet5r15Y752ECp72YsxzG14OaZHBOF3dhFODg4ODgeBYb+B1hnYlrxUYGCNK3wGuNYDg5TBgYfYL1JLD0fKWWNLSbTpS+3p2DtwQs4szsdGBqimIaZHmtny2zalLl3JVwd7CbdBI9j/Jib6Jj+7kXD2+3LmtoQLvHC9hO5KGvWI3NvBp4/eoV2zLe70rDj5FUAwMH8StLIKcDThVLe9G8ZBzLJ8xGYm2cR5UfbGvtgCLQY/dvVCny7Kw2XSKd4IdLkoillgsfxcHSoGnDulZW4XKWG3MedjFHAsrghILZiF9ZrcXhzInj2tmPGrLkxKHEffL0zDT9UNKOwXovkEF+EeLvhwdAQ3tsYh+tKHfQ9vUgI8sHnLy9HTk0LWS7QywU7P8vD/1m9BA9M/MrHcz9MFYjrerlKjUuVKqTKRVgRKiTbzfa30Y4xx8+DhzO703GxUoWcGvWo97m56Z1pf/fkfP+R42VCxn7xm11pOJhfiYP5lah7YyPq27oZn41f7UylxRBRx/4NsfioQIHnI6WMRp1f7UwltYyzqzXYFS9DhB8fSyRemENX/eF4RPh5uuDMrjRcJJ8fvkiTiWjjnQG2sdPudFqdNgDefyYeN5racF2pI39Xpp+1b4A6vjONVVN4DnPwza40ZJm0M0UmAs+BniPI9Jw0NaY0ZbSxATfmm9pw80yOiYLLNObg4OCYJKwxreDgGA3TWEoIEtCMy4CR2GIyFsqu1iA2QGA0u2vrZjz2ZnMbq5nRjaY2bvIwzRmtP5J5u+GPWXcAALeb9Shr1o8aZ5cUKvzmyQjKZ/qeXii0HaOaPJn3f6OZZ7HBdkxebQu2xoTirRWh2BoTwi0YzzD6+/vJLdQVLHFpqXmY0M0Z6xcGINKPj+tK3Zgxm1OtYexXz91TIlUmxK4EGf6aU46kv3yP5e+dI2UrvHgOKBw2oGpo64bYzRl/zSlHyl/P40KlCrdVetxsaoO3tzeA8d0PU4nRtriz/c3abfF+HjxsjQnBh88tHfU+ZzXNU6gpx7P1i1nDfdzhF5bhZlMbq6Ghtus+ihroJo1EDO2Ml7H2o5UtHQjhu0L29mkcyKsgpU6S3zvHqknL8Wjw83TB1phQ/PmpKGyNCWUc71hjxJhZ0Yxkk76A+F1/qGym12vhXOF8uQrBb51Co96ATUuC0ag3IPitU8isoMeKNX0JN1eZvnC/HcdEwS0ac3BwcEwS1phWcHCMhmksjWbixGYslFurQbQ/Hzk1avQPPmA8trmjxyrzFI7pxWj9kba7F8dLatDTP4DsamMMjBVncYFUXU59Tx/FPM8UU5Mn0/5vPPE21jENDQ2sx3LMDCayn7LEmCy3lrlfLWpoRX1bNw5erSSlBQCQTvY1rV3QGXpxvrwJb2bexJuZNynlihpa0dxhAI/Hm/DvNdux1DRvtH4xLlCAmADvUY1oG/UGss8057pSh2j//8fevUe1cR34A//yNmBACKEHGIxAcpwEbBxs7ARs83DWyaaPNGmzbRInG9dZ95Hu2Tbdc3a77Tnb3f6657Sn/f3a7eaXNGnSX9PtbrrbtN1smmYT87AhsXFI/MCOYwTCYNADAcIYMA+j3x9Ysh4zQgI9RtL3c07OCaM7V3dmvnPnzrWkkft9GGKPeRLAzcw488FjHh09PT2irwXzIEZnWe/jupYH4Tn7h2++cQp/8tzb+OYbp5aXC2QlmL6E9yqxi8eOQoWTxkREURLMQyuI/HHPktBDnJzEHixUV6ZE9+Vx1GtVSEsRHhpocjP9PsyIYpu//igzLQUA0H153PVQuZVy1uU2+QUAssx01JQUCJZ3f8iTe/+3mrwxoxTKDIjV5Z7ZujLhfrW6WI4lOERzL8tMhzwrQ/Q82l5SAE1uFmZmZvy2hdkOXqAPzfPXL3YN2vDe0JjrQbRCNLmZqCsTf8Be9+Vxvw9DFHtIII+59ATzIMbVPAhvpbLB9A/BlOW9SuzisaNQ4aQxEVGUBPPQCiJ/3LN0/JLN48FlTs5sCT1YqL5ciZNDNjTp1diYny247hZNvt+HGVFs89cfbZSvR5VGhp+dMGB3uQpVGpnfnDXo1K5POTmXyTIzoFPkCpZ3PuTJu/9bTd6YUQplBsTqcs9sfblSsF/dWpSPjJQU0dzLMjOgXL9O9GF4t6tl2FKUj7GxsZBvV6IL9KF5Yv2is4974t/fwZaifNFjmJ6agrpypWiGfnbCINqP+ntIII+59ATzIMZgxv+Blg2mfwimLO9VYhePHYVKksPh9oSFEFpYWMA3vvENDA8PY35+Hl/84hfR3Hzzh+B//vOf4z/+4z8gly//6+q3v/1tlJeXC9Y1NzeHnp4eVFZWIiMjIxzNDVh3dzdqamqQ8vTLUW1HIrj+gwPRbsKaSSm7Ts4Mx4N42JZh+/SKD9eIBilmN5JiMVvuWdq/qQi1GxVoM1hwzOuBQN6Z21OuwjmzHVuL5a7ffxy2T+OMaQKmK7PQ5GZiiybflUvL1KzrwUSf3roR20sKkJeZHs1N9xCu7Eo1E6Fsl7/+yHnc+2xTeKSmHO19ZpwzT+JgrQ7dl8fQ3mdGnVaJRp0aC4vX0TEwineMo2jUq1GvVaL78hjeMY7i0C49Tg7Z0GawoKFChW0b5Hixy4BKtQz33FKEQq/fLHXP20oPwgpkHaPRCK1WG5L9FWrh7nelmuFQ8N621eRGjHtdeypUuGODHD/v6sNt6jxUavJhmpzB7WoZjvVb0Wm0YudGBe4sK0TuunRcW1zEiUs23KLMwzmTHZ1GK+4qK0RtWSGuXpuHJi8TyUjGlbkFdPRb0TVow54KJXaUKCDPSkdB9jpMTEwgPz8/5NsVSs7sAoiZjA1PzqDNYMaxfit2ly8/NEzwoXkC/eL03ALMV+eQmZYCfWE2ZucduDK3gM4bDzRsqFDhTm0hjg+MQitfj+K8LLQYLOgwWrBbq0KjToX3h8fxh/PD+NPbinHHhgJ0Gq2CxzXSxzye+wlvwfa5K+2b4cmZgB7ECAQ3/h+2T6PHbMfI5CyK8jJRqZYJlg0mK86yLb0mNOk1fstK9V5FTCJkONDsxtqxC4dEyIM/odj+sE0a/+Y3v8GFCxfwd3/3d7Db7bj//vvR1tbmev3rX/86/vzP/xyVlZUr1iWlyQtOGkcOJ43DI546znjYlmH7NFKTk5Cdnorp+UUsLjkkcTGXYnYjKR6yJWZ4cgaDE1cxv7iEdakpKJWvhyY3E5apWbQZzPhgeAIHd+rw/uUxtBks2FuuRNMmDZKTgJZeM1oNFjxyRxkqFLk41m9Bq8GCRp0KDTq1pCYvOGkcXWb7FAbss2jvs6JMno0mvRpLjuUH8AyMT2NvhRKbCnMhz14HADBdmcFbH5nQabSiTqtE8yaN4M22M6fB5u7memY06tSSyas7ThqvXqxs2/S1eYxfW0CbwYxO4yj2VixPLHln0TI1i5ZeM9r7zKgtVeCuMiXSUpKQlZ4GTa60cgvE5qSxZWoWZ0cmMGifQaksC1VF+VhyAG99NCLaD01PT8O+mIQjF/33VePT1/DWRZPkro+BiJVzKRRCPWlsmZrFpfGrmF24jsy0FGyUr/c7aWu7eg3JSUlYcjigWL9uxUlbZ+ZCOfEn5X9IXa1EyHAwk8ZSvM+MpETIgz+h2P7UlYuszj333IP9+/cDABwOB1JSUjxeP3fuHH76059idHQUDQ0NOHz4cLiaQkQkScP2adz3QovHk22rNDK8fqgp4S7oFBnDkzO47/kjgplzZvGtL9yNh/5fu6vM88d7UaWR4ZkHd+LhX3YAAB6qLsOfutXjLPPm4X0xc2NM4WOZmsU9L7R55OzYU/vxpd+c8Mnem4f3YXHJ4ZHLF04YlnP5ZLPHZIxlahb7n3s76Nz5rmdgXiniLFOz6LNNeZwHQhkWy+szD+4EcA1LDofopxcpMN77GIBrHz/x7+8AEO6Hxucd+PjPWvz2Vavtpyi2iWVK6LgHU9b7XsHZH4TqXmF8fDzuJo1pGe8zKVTCNmmcnb0cxKtXr+Iv//Iv8Vd/9Vcer9933314+OGHsX79ejz11FNobW1FY2Oj3zr9PbE0krq7u6PdhIQQzv0c6X9tkkp2neIpw7G6LZs2bcKRXqvHhRwAzprsaDGYcf8tSly8eNFnvUTPbiTFarbEFBQU4OjoddHM7ShRIDs9FResk4JlTo9MYGepAklJEC1z5KNh3LF+EdPT0z7vHw/ZlWompNSu7OxsdE+leuRj10YFTo1MCOdqeAyWq3PCuew1YbciBWNjY4L1Osv5y91q13MXD9l1klJWQk3K25adnY1LS+vRNzEtnPWLI9iWvQAAeP+qcF5Pj0xAtX4dJq/NY2HC6vqtY3+i8ekqKR8HwH+f4LzOnbjxIE/3fgiA+DX0Rplr166tub+RAikcw0hmN5g+V2jfBHOdCabsxo0bccQoPN5qMZhxb1keLl26FHDbg9mmWBfNbZJCdld7nxmv4jHjwQhk+/3lNmyTxgBgMpnw5S9/GQ8//DA+/vGPu5Y7HA48/vjjyMnJAQDs3bsX58+fX3HSWApfk3Z9vPtX56PajkQQT18jkEJ2neLpKxqxvi2dRuELfYfRigPbKySxbVLKbiTFerbE/FPXu4LLO4xW1GyQY/76dZweHhcsc2p4HDpFDpKSIFrmmNGGhz+zK2TtXQv+PEX0/J//OO7xt06RI5qZ4clrODE4Kvjacl94J8rKygTrdVopd6tdL1r48xTBi4Vte/eEQfQ8ONo/is/dyKJYXk8Nj2NnqQL2a8C9t+pd54XUSP04AP73sU6R45o0Bm72Q4D/a6izTKz1N95i4VwKtVD8PEUwxz2Ysp0tvYJlnfcKCoVipWb7FY/HOx63SYy/7MbCfWYkJFIehIRi+5ND1BYfNpsNBw8exF//9V/j05/+tMdrV69excc+9jFMT0/D4XDgxIkTAf22MRFRPKnTKgWX14ssJ1orf5nrvjwOg20KW4vlgmWqi+Uw2Kb8lmkUeEo4JZ5GnecT2P1lpjQ/G/Va3ye2A/BZ7l2va/kKuVvtekShVCLLCqjvFMtrdbEcssx0aHL50xRr5W8fG2xTHsvc+yHxa+jNMuxvElMwxz2YsrxXoNVidihUwjZp/Oyzz+LKlSt45plncODAARw4cAD/9V//hVdeeQU5OTn46le/isceewwPP/wwdDod9u7dG66mEBFJUrNejSqNzGNZlUaGJh1vLCg8mjdpRDN3csiG45ds2KzMEyyztSgfJwb9l9lbIXwjRImlQefZtx2/ZEN1Ub5gZio1MjSK9YVeN9De9TrLrZS71a5HFEpVRfmi54F7FsXyurUoH+rcTGwpyo9Ie+OZv33s/ilj736oUadasa9if5OYgjnuwZTlvQKtFrNDoRK2n6f45je/iW9+85uir99///24//77w/X2RESSVyzLxuuHmnDGNAHTlVlocjOxRZPPhxNQ2BTnZeH1J5txZmQCpisz0ORmYUtRPorzsvDm4X1o77PgrY9G8OvH9+KDy2NoM1iwp7wQTZuKkJwE/NuB3WjtNWN6fgGvP9mMTqMVrb1mNOrV2Fuh4kN+CACgysnE7x6rR9fIpCsf+sIcV8aEMiOWS+96/dXhrz3O9Vp6TWjSa5hXijhVTiaSk4BfP74XHf1WdA3a0KBToVGn9siiM6+tBjPaDBbUliqwp0KJnIw0pCQnQ5GdeD8ZFWrOfdxjsmNwYhql+dmo1Miw5AB+/rk6dBgtqNeq0KRXe/RDV81DeP3JZrT0mkXLrLafIumTy4W/KQAEd9yDKct7BVotZodCJay/aUxERCsbn5lH1+AYdpfz60IUOpapWbQZzGg1WNCoU6HhxsREanISrlxbzlyjLhWpyUkAlm9iHqouw0PVZbBMzaIgKwM7ShXIz0x31SnPTMeOUgUyU1OQmpzkKk+JSyxnY0P9eKimxicfYpkRy6U395y6t6Gl14z2PjNqSxWoL1chPzMNheszfdbbkeeAVuv7/kTuxHIdivo+vaUUD23diIM7dRifvoa3Lpp83keVk4nPbtPis9u0GL0yg5Y+S8jaQssWlxwwXZnFicFRpKUkY7MqD8V5WTiwvRwHtpcLrjMzM4NbVyjj5LxeanLWYXHJgVc+MPIYxqib568ZjXaIHj+h65M/zozI3cZZgpKSPO8VkoSvj0RCeJ9Ja8VJYyKiKBm2T+O+F1pcT7Z9/ngvqjQyvH6oif8KTGtimZrF/ufe9s3Wk8247/kjPsvfPLzPdQPkvS6w/HW2Zx7cif0/PeKxzH09SjxiOXvz8L6Q1bNSvnzXNbjyuuSAz/rj4+PQarVBtY8Sy1ryGEx9AffHP/VfhoI3PDnjte8NrmPi/Q2HYHkf77e+cPeKx5mkS+was5bjJzbOEqrTN6u9IcsqxTfeZ1KohO03jYmIyL8jvWaPASMAnDXZ0WIwR6lFFC/aDL7Zyk5PxZGLJsHMtfdZ/K571mTH6ZEJ7CxViK5HiUcsK+19FmRnB35D4q+e1a57emTCZzlRINaSx0DrW2t/zL53bcT2fUvv2sdf7sds10YFLlgneQxjWDjOwWDqDGdWKb7xPpNChZPGRERR0mm0Ci7vEFlOFKhWg++Nh06RI5q5VrebD6F1AeDU8Dh0ihzR9SjxiGWltdeMjIzAf3fVXz2rXffU8DiGJqYDbgOR01ryGGh9a+2P2feujfj4a+0Tue7HTKfIwenhceFyPIYxIRznYDB1hjOrFN94n0mhwkljIqIoqdMK/7ZUvchyokA16nyfwG2wTYlmrtHr6fBCqovlMNimRNejxCOWlUa9GnNzcyGpZ7XrVhfLUZLPr19S8NaSx0DrW2t/zL53bcTHX8L7Oxjux8xgm8LWYuGHp/EYxoZwnIPB1BnOrFJ8430mhQonjYmIoqRZr0aVRuaxrEojQ5OONxK0Ng0632xNzy+ieZNGMHN7K1R+163SyLC1KB8nBm2i61HiEcvK3goVpqcD/5Svv3pWu+7Wonyf5USBWEseA61vrf0x+961Edv3TSGYyHU/Zscv2bBZmcdjGMPCcQ4GU2c4s0rxjfeZFCp8EB4RUZQUy7Lx+qEmtBjM6DBaUa9Vokmn5sMJaM1UOZl48/A+tPdZ0NprRqNejb0VKr/LxdbdrVWg+ZZiJCcB/3Zgt+h6lHj85elyiOoJdN1WgxltBgtqSxWoL1ciPzMNheuZTwreWvIYbH2B9Me/e6weXSOT7HtDqDgvC68/2YyWXjM6jBbUa1Vo0qtD8mAx7+M6Pb+A159sRqfRymMYg9yPZ0uvCU16zZqPXzB9TDizSvGN95kUKpw0JiKKomJZNg5sr8DnqjciNZVdMoWOKicTD1WX4aHqsoCWi5W5cOGC60ZmpfUo8QSSp3DXo8rJxGe3afHZbdo1tYHIKVS5Xqm+QN5nbKgfD9XUsO8NseK8LBzYXo4D28tDXrfQceX1M3Y5j+c95XLk5uaGtM5AMhHOrFJ8430mhQKTAyDl6ZeDW+FX58PTECJKOMOTMzhy0YROoxV1WiWaN2n46QFaNcvULNoMZrQaLGjUqdCgU4t+GibQssH8zABRJKyU3WDOA6JIEMsks5oY2GfFNo7VKVYxuxQKnDQmIoqS4ckZ3Pf8EZw12QEAL5wwoEojw+tPNvOCTkGzTM1i/3Nvu/L0/PFeVGlkePPwPp+bz2DKEknJStlltklqxDL5+pPNHmMAZjU+sc+KbRyrU6xidilUOGlMkhX0J8ABXP/BgTC0hCg8jlw0uS7kTmdNdrT0mvkVNApam8EsmKf2PovP1x+DKUskJStll9kmqRHLZEuvCVlpqT7LmdX4wj4rtnGsTrGK2aVQSY52A4iIElWn0Sq4vMNoiXBLKB60GoRz09prXlNZIilZKbvMNkmNWCY7jFboFDm+5ZnVuMI+K7ZxrE6xitmlUOGkMRFRlNRplYLL67WqCLeE4kGjTjg3jXr1msoSSclK2WW2SWrEMlmvVcJgm/Itz6zGFfZZsY1jdYpVzC6FCieNiYiipHmTBlUamceyKo0MTbxRoFVo0KkF87S3wndwGExZIilZKbvMNkmNWCab9BrMLCz6LGdW4wv7rNjGsTrFKmaXQoW/aUxEFCXFeVl4/clmtPSa0WG0oF6rQpNezYcT0KqocjLx5uF9aO+zoLXXjEa9GnsrVIIP0gmmLJGUrJRdZpukxl8mmdX4xz4rtnGsTrGK2aVQ4aQxEVEUFedl4cD2cnxykwK5ubnRbg7FOFVOJh6qLgvo4TnBlCWSkpWyy2yT1IhlkllNDOyzYhvH6hSrmF0KBU4aExFFkWVqFm0GM1oNZjTq1GjQqfnpElq1m3myoFGnYp4oLjDXlAiYcwoH5mrtOFanWMXsUihw0piIKEosU7PY/9zbOGuyAwCeP25AlUaGNw/v4wWdguabp17miWIec02JwF/OiVaL/efacaxOsYrZpVDhg/CIiKKkzWB2XcidzprsaO+zRKlFFMuYJ4pHzDUlAn85z87OjlKrKNax/1w77kOKVcwuhQonjYmIoqTVIHzRbu01R7glFA+YJ4pHzDUlAn85z8jIiHBrKF6w/1w77kOKVcwuhQonjYmIoqRRpxJerldHuCUUD5gnikfMNSUCfzmfm5uLcGsoXrD/XDvuQ4pVzC6FCieNiYiipEGnRpVG5rGsSiPD3grhizyRP8wTxSPmmhKBv5xPT09HqVUU69h/rh33IcUqZpdChQ/CIyKKElVOJt48vA/tfRa09JrQpNdgb4WKDyegVXHPU2uvGY16NfNEMY+5pkTgL+eXo904ilnsP9eOY3WKVcwuhUrcTRqnPP1ytJtARBQwVU4mHqouw448B7Tasii3hmKdM08PVZdFuylEIcNcUyJgzikcmKu141idYhWzS6HAn6cgIpKA8fHxaDeBiIiIiIgEcKxOsYrZpbXgpDERERERERERERERuXDSmIiIiIiIiIiIiIhcOGlMRERERERERERERC6cNCYiIiIiIiIiIiIil9RoNyAQDocDADA/Px/llpDUzc3NBVw2PT0dSUlJYWyNdLMbzH6SukTclkTObiTFU7bWKlT7ItazK9VMsF3BWU27Yj27TlI9JqHAbRMWyewC8X0cgPjfPkA62xju7K6mz5XKvgklblPoMbvSksjbDqx9jiHJ4X6Vl6ipqSlcvHgx2s2gOFNZWYmMjIywvgezS+HA7FKsYnYpVjG7FKuYXYpV4c4uc0vhwuxSLBLLbUxMGi8tLWF6ehppaWlh/5dyShyR+OQFs0vhwOxSrGJ2KVYxuxSrmF2KVeHOLnNL4cLsUiyK6U8aExEREREREREREVFk8EF4REREREREREREROTCSWMiIiIiIiIiIiIicuGkMRERERERERERERG5cNKYiIiIiIiIiIiIiFw4aUxERERERERERERELpw0JiIiIiIiIiIiIiIXThoTERERERERERERkQsnjYmIiIiIiIiIiIjIhZPGREREREREREREROTCSWMiIiIiIiIiIiIicuGkMRERERERERERERG5cNKYiIiIiIiIiIiIiFw4aUxERERERERERERELpw0JiIiIiIiIiIiIiIXThoTERERERERERERkQsnjYmIiIiIiIiIiIjIhZPGREREREREREREROTCSWMiIiIiIiIiIiIicomJSWOHw4G5uTk4HI5oN4UoKMwuxSpml2IVs0uxitmlWMXsUixibilWMbsUSTExaTw/P4+enh7Mz89Huyk4d+5ctJsgim2THill1ymejgW3JXykmN1IktrxiKZY2xfhyq5U9wPbFRyptgsIf78r5W1fK25bdDmz29PTE+2mhFUsHIu1SoRtdAq2z43HfcNtik3MbuASeduB0Gx/TEwaS8m1a9ei3QRRbBsFIp6OBbeFwoXH4ybui2VS3Q9sV3Ck2q5IiOdt57ZJQ7z/Q3MsHYvVSoRtXK143DfcpsSQyPskkbcdCM32c9KYiIiIiIiIiIiIiFw4aUxERERERERERERELpw0JiIiIiIiIiIiIiIXThoTERERERERERERkQsnjYO0adOmaDdBVGlpabSbQEREcWbr1q3RbgLFoKKiomg3QZBer492E4iCUl5eHu0m0A3V1dXRbgJF0bZt26LdhJDjGC8xxGN2KXJSo/XGCwsL+Ju/+RsMDw8jOTkZ//iP/4iKiopV12eZmkWbwYxWgwWNOhUadGqocjI9ygxPzuDIRRM6jVbUaZVo3qRBcV7W8mv2aRzpNd98Ta9GsSxb5LVkFMuyRdcZtk/j3YFRVBTm4uzIBM5bJnGwVof3hmwYm5nDp6pK0dprRufAKO4qK0R1sRy561Ixv+hAh9GCrkEbdpersKdChR7TBEpk2UhLSUan0YquQRv2VqhxxwY5XjxhwG1qGZr1apw1TeD3PUPYW3EVTXrfbXffRx8MT+DgTh26h8bQ3ie+vwLZpxR7an91HvjV+aDWuf6DA2FqDRGtZNg+jRa3a0ZVUT4ujV/FnWWFHn3ysH0a7X0WHO23oEGnxl1lSnT0W3xzzmkAACAASURBVNHeZ3Zdo+QZyRibW1qu78a1a2+FCh9aJlGlkeEj6yQU2RmQZ6/zKNOsV2N9RjLe+siCisJc9I1ecV3j3hkYRV1ZIZrcrpu0dsFeg73L12uVeHdgFG9dNPmMa5xl+8au4tGacrQZbh7rBp0av3yvD5sKc3FnWSGO9VvR1mfBPr0aO0oVaO+z4J2BUewpV2FbcT5SU5JxcnAMR/vN2FOuwvYSBV7sMmCLJh+Vjgmct9hxR3EB0lOT4FhyIC01xSNbTXo1zpnsuF0j88mc0FirSa/Ge0Nj+OOFYdSWKrCnXIX1GWloNZjR3mcWzP7dmzRYcjhwpNeMc2Y7Du7U4f3L437HQBRb0tLSfMa55812bJSvv9lPaQvRrNcgLSUJ3UPjuFWVh/Y+i0e2LlonkZ+9zmf8frTfgj3lKtSWKrBwfQkfDI/jaL8FtaUK1GuVSElOwvPHDdhUmIs6bSEWri/hgmUS1cX5WJeW6pN5h8OBf+m8iF0bFdheUuDxeqNOjbSUZBy/NIo/XhjG7nIVtpck46WuPmwtyseOkgK8cMKAbcX5MZVdf32a2D2a2Dpi5cXuzbzruXezGtPzDswsLGLhugPvDIyia9DmusZesEzijg1yyDPTsegApq7No+PGfdieCjW2byjAf54ZwKe3bMQ58yT0hTk4Y7LjaJ8ZtaUK1GmVWLi+BINtCreq8vDiCQN2lBRgV1kh2gwWdBitrnvAvHVpmFtc8rgHrC1VYG7xOi5YJnFnWSEuWCbx69OXfO5fA9m//vp7sbrWcizjkb95gtWUC1fZeHz/YOoMRqJkOFz7jxJLksPhcETjjd9++2289tpr+NGPfoTOzk78+7//O/75n/9ZsOzc3Bx6enpQWVmJjIwMn9ctU7PY/9zbOGuyu5ZVaWR48/A+j8HIfc8f8Snz+pPNgMOB+15o8X3tUBMAiL7mb/kPP7kDX/v9SZw12fHWF+52/f/Atx7AxwXW++0TDfjUS20+y199ogHmK7P40m9O+Lz2w0/uwN3PvuUqp//u7wS33XsfubdHbH8Fsk+D0d3djZqamqDXi3UrZTcaUp5+Oeh1pDppHE+5ktq2SDG7kSSV4zFsnxa81jivMc4+2bucWD//34ea8DGB+l59ogEPvNSG1w41IQkQLPPfh5pwcXQKX/v9SY9rnHuZ1w81RX0wGq7sRjITwVyDu7u7sWHTbYLlneME59+vH2pCakqyq2zvN+7HAyJjj4HxaY9jLJSpY0/tX3F84szKb59oQGpKsuAYSCyXYmMt7+165sGd2P2TNwNqZyBjoGgJd78rlX4tHAasE7j/Fx0ex1isn3rmwZ1Q52YKZv+1Q02ujIplxT1v7suuLS65cu/8W1+YI5j51w41oXd0CgAE3+O3TzTAOD7tkXPv88r5/1LKLgDBjPnr0xaXHML3aCvca61l+aVvPYDBiWkAEO3Dvvb7k3jtUBOGJqYFyzivm/5ydm1xyZVFQPxYC90Duq//2qEmlP3jqze36clmj8lesf37+pPNrn0r1t9717VSPxHqe8RoCqTPFRuHeY93Ai0XrrLx+P7B1OkuETIcyuzGu3ge+wQiFNsftZ+n0Gq1uH79OpaWlnD16lWkpq7+Q89tBrPHyQAAZ012tPdZXH8fuWgSLHNtYRFHekXW77fg9MiEz2vPPLhTdJ0Wgxn/8kAtLlgncdZkx66NCtf//68/rUaryHrH+q3ISkv1WX7BMokes11wnY+sk9hZqsBZkx0d/VYcrNUJbrv7PnJvj7/9Fcg+JSKi8BK71nxknURWWqqrT25x67PF+vmv7b0NLSL1dfRbsaNEgc5+K84IXPfOmuxoNZhxqzIX2empoteRFoM5JNud6IK5BmdnZ4uWd44TnH+3GMy4NH4VZ012fH6nDsf6LaJ5SILDb6Z2bVTglEhW3McnfbYrqC1VYGpuQXQM1Gow+4yBstNT/ebffbtOj0xgZ6lixXYGOgai2NN5aczjGPvrp0avXkNnv1XwtbYbWfSXFWfevJfZZ+ZcuT89MoG0lGTRc7PNYEb+ujRMzMyJ3hekJsEj597nlfP/YyG7/vq008PjoteTHSUKj+W1pQq/92BC91ItBjO+uudW17JjT+3HmZEJmKZm/fZhWWmp6DFNCN6HZaen4li/BdnpqTCOTYnmxD4zh6y0VNhn52CwXRGs56hIP3zObHet32Yw4zv3Vt/cpl7Pa63Y/m3pNSErLdVvf+9d10oS7R7RX95WUy5cZePx/YOpMxiJkuFw7T9KPFH7eYqsrCwMDw/j3nvvxcTEBJ599tkV13H+C7Y7uVyOVpHgt/SasCPPgfXr16PTaBUssy4tRfS1o31W1JYU+CzfrMzD/zvZJ7hOh9GK+24txi/e6wcA6BQ5OD08DmB5oPPKBwOC63UOWKFT5ODEoM1juXlqFt1DY4LrnBoed63TOWBFzQY5Xuxafq2114wdeQ6Mj4977CP39nhz7i8AK+7T8XHhOvzp7u4Oep1wifS/NgllN5ZI6dh5k3LbghXItjC7kRPtbOn1etHrk7P/b+0149NbSj3KifXz20sK8KOjHwrW57yGtPdZsEPgugcsX98+VVni9zrSYbTiwds0+PBD3/eJh+xGIhOBjGvcr8FyuRytZ4XLu48TgOXjU3rj0yU1G+R4xzgquF7ngBUPb9O6/hY65v5y4P6+7w2NoWaD3PUzW0I6jL5jIJ0iZ8X8O8s7/05Kgt92BjIGEhrfxEN2naLdr4WDXC7HsYHlLDuPsb9jPTYzhy6v8baTM4tCWXLyzp9z2c5ShWv5qeFx3KbK85v57RsKMDk7L/h654AVG/O1gjl3nlfO/5dSdgHfjPnr01p7zX6vOe73NsByvxVMP+Jc/pf1NyeNNyvz8LueQQArH2PTFeH7MJ0iB+8YR6FT5ODkkHCW3DNhn533W4+Q94bGXOt3GK14aGuZ2zZZsL90PYaGhvzuX+c+8dffu9flJNZPBHt9WotIZlesz922bZvfvD1yhxYffPABqqur/Zb7XPVGnD59Oqg6gylbVVXlt9xDVRtc27h161a/ZT+7tRRnzpwJ6v1XKvfwtjKcOnUqqPcPZj8JiWaGYym7iSIexz7BWOscQ9QmjX/+85+jvr4eTz/9NEwmEx5//HG89tprfr+OJ/bx+0Y78Pxxg8/yJr0GWm0ZAKBOewUvnPAtc23hOuq0SsHX9lQoIVuX7rP8gnVSdJ16rRIfWiaxtVgOADDYpvBIzfIDLLoGbaLr1ZUp8ew7F32Wq3MyUXPjt8u8VRfL8fKNyem6MiWO9d/sGBr1ami1ZdBql2/6nPvIvT3e3PfXSvvUWW+gEv1rAZL6in+Qv2cMROemIxDxlCupboukshtBUjkeYtcMZ///V3tvRXJyMuq0SlefLdbPvzc05vcadKzfima9Grnr0gTbUq9VYmpu0e91pF6rRFZWliT2XSz/PEUw1+ALFy6gUacWLO8+TgCWj09mWgoAoPvyOOq0haJ5WHL79TKhY+4vB+7vu72kACeHxnBnWaHfsdP/7fQcAxlsUzh856YVxz/ufyclwW87AxkDBTu+CQf+PEXwdtuue4xz/7W7X/RYF2RloK5MKXjOOLMolCUn7/w5l8ky02GwTbn+9u6bvd/n2sJ15GX63mcAy+dgEuCqz/t9t5cU4KWu5Q+wSCm7gPCYUaxPa9SrsT5d+Ha0XqvE0T7PSY/uy+OoD6IfcS5/z21i94J1EuqcTMwuXnfdr3lz7uvP3VEmeB9msE3hL+7U46fv9uJgrU60/3Vm4v6qEr/1CG3P9pIC1/pfrNvk8Q8d9VoVlEollEolAPH969wn69JSRPt777pW6idCfY8oBf76XH/XreTkZNe+8lcuNTXVY58GWmeo3j8jIyPgOtPS0kL+/ikpKat6/2D2k7tEynAoshvv4nnsE4iY/nmK3Nxc5OTkAADy8vKwuLiI69evr6quBp0aVRqZx7IqjQx7K1Suv5s3aQTLrEtLRbNeZP1yFbYW5fu89qXfnBBdp0mnxpdf7cJmZR6qNDIcv2Rz/f/f/eEUGkXW212uxMzCos/yzao8VKplguvcoszDiUEbqjQy1Jcr8WKXQXDb3feRe3v87a9A9ikREYWX2LXmFmUeZhYWXX1yk1ufLdbP/7D9PJpE6qsvV+LkkA115UpsEbjuVWlkaNSp8aH1CqbnF0WvI006dUi2O9EFcw2enp4WLe8cJzj/btKpsVG+HlUaGX52woDd5SrRPDiQ5DdTxy/ZUC2SFffxSYUiF12DNuRkpImOgRp1ap8x0PT8ot/8u2/X1qJ8nBi0rdjOQMdAFHvqNhZ4HGN//VTh+nWoK1cKvtZwI4v+suLMm/cyWVaGK/dbi/KxcH1J9Nxs0KkxcW0B+VkZovcFiw545Nz7vHL+fyxk11+ftrVYLno98f4Ub9egze89mNC9VJNOjf/t9i2b3T95E1uK8qHJyfTbh80sLKJSky94HzY9v4jd5SpMzy9CW5AjmhNZVgZmFhYhy8yATpErWM8ekX74drXMtX6DTo1vvnHq5jbpPa+1Yvu3Sa/BzMKi3/7eu66VJNo9or+8raZcuMrG4/sHU2cwEiXD4dp/lHii9iC86elpfOMb38Do6CgWFhbw2GOP4eMf/7hg2UB+6NsyNYv2Pgtae81o1Kuxt0Ll80Pmw5MzaOk1o8NoQb1Wtfyk9xs//D9sn0aLwYwOoxX1WiWadDefLCn2mr/lxy+NolyRix7TBM6bJ/HETh26h8Zgm76GT1WVup6cW6ctxNYiOfLWpWJu0eH2ZF4ldper0GOaQIks+8bXOpef7NtQocIdG+T4WZcBlSoZGvVqnDVN4Pc9l9GgU6FR5Omfzn30weVxPLFTh/cvj6HdYBHdX4Hs00Al6r/wSPFhYnwQnjRJbVukmN1IktLxGLZPo9XtmlGpycfgxFXs2ljo0ScP26dxtN+K9j4LGnQq3FWmxDtGK9r6zKi7cY2SZyRjbG4JrW7Xrj3lKlywTqJSLcNF6xUUZKdDnr3Oo0yTTo31Gcl4+6IF5Ypc9NuuuK5xncZR1GuVaNSpJPFgjXh4EB4Q+DXY2S7v8nVlhTh+aRT/c9HkM65xlu278anM9r6bx3pvhRq/7O7DLYW52LWxEB1GK9oMFuzbpMb2EgWO9lvwjnF0ebKnKB9pKck4OTSG9j4z9laoUbOhAC92GbC1KB+3q2U4b7HjjuICpKcmwbHkQFpqike2GnVqnDPbcbta5pM5obFWo06N7stjeOPDEdSWKrCnXIn1GWlo6zOjzXAz+51GK9pvZH+fXoMlhwMtBjN6zHYcrNXhg8vjaO8THwNFAx+Et3pnzpyBSqv3GOd+aLGjNH+9Rz/VpFcjLSUJ718ex2ZlHo72Wzyy1Wu9All2xs3xe60O3Zdv5ntHSQEWri/h1MgE2vssqC1VoF5biJTkJLxw3IBblLm4s6wQC9eX8JF1EluL8rEuLdUn8w6HA890XsSuMgVqNhR4vN5QoUZaSjJOXBrFGxdGsKdCiZoNBfh5Vx+2Fudje0kBfnbcgG0b5JLLLiD+7TR/fZrYPZrYOmLlxe7NvOu55xYVpucdmFlYxMKSA8cHRnHikg133bjGfmSdxLZiOeSZ6Vh0AFPXFlz3aMv3YQX4zzMD+PSWMpy32KG7cT1su5GJOu1yBvpsU9isysOLXQbUlhRg58ZCtPdZ0NFvxV2ue8A0zC0uedwD7ihRYG7xOj6yTmLXxkJ8ZL2CV04P+Ny/BrJ/xft74boC6SdCeY8YTYH2uf7mCVZTLlxl4/H9g6nTKREyHOrsxrN4HvsEIhTbH7VJ42BIafJiamrK9QlpqRkdHUVhYWG0myEoUU9WKWXXiZPG0iS1bZFidiNJascjmhYXF9f0sNpIi5dJ40BJtV0mkwkajSbazfAxOTmJvLy8aDdDECeNVy+et21iYgL5+fnRboZfgUwax4NYux6uRjyfS96C7XOXlpaQnBy1L2qHxcLCAtLShH+WLFYlQoaZ3cAlQh78iemfp4hVFy/6/laWVAwODka7CUREFGecD28hCsbIyEi0myDIYPD9fT8iKevv71+5EEUEr4eJLR4fHOZ86B3Ft3jMLkUOJ42JiIiIiIiIiIiIyIWTxkRERERERERERETkwkljIiIiIiIiIiIiInLhpDERERERERERERERuXDSmIiIiIiIiIiIiIhcOGlMRERERERERERERC6cNCYiIiIiIiIiIiIiF04aExEREREREREREZELJ42JiIiIiIiIiIiIyIWTxkRERERERERERETkwkljIiIiIiIiIiIiInLhpDERERERERERERERuXDSmIiIiIiIiIiIiIhcOGlMRERERERERERERC6cNCYiIiIiIiIiIiIiF04aExEREREREREREZELJ42JiIiIiIiIiIiIyIWTxkRERERERERERETkkhqtN3711Vfx29/+FgAwNzeHDz/8EJ2dncjNzY1Wk4iIiIiIiIiIiIgSXtQmjR944AE88MADAIBvf/vbePDBBzlhTERERERERERERBRlSQ6HwxHNBpw9exbf+9738PLLL4uWmZubQ09PTwRbRfGupqYmIu8jxezW/up80Ot0PXxbGFpCq5HI2aXYxuxSrGJ2KVYxuxSrIpFd5pbCgdmlWOQvt1H7pLHTc889hy9/+csBla2srERGRkaYW+Rfd3d3xAZgwWLbpEsK2XVZxaSxVI9dPOVKqtsiqexGkFSPRzTE6r4IdXaluh/YruBItV3uwtXvxsK2rxa3TTpiqa3BirVjsRqJsI3eAu1z43HfcJtiWyJnN1CJvO1AaLY/qg/Cu3LlCoxGI3bt2hXNZhARERERERERERHRDVGdND558iTuvPPOaDaBiIiIiIiIiIiIiNxEddLYaDRiw4YN0WwCEREREREREREREbmJ6m8aHzp0KJpvT0REREREREREREReovpJYyIiIiIiIiIiIiKSFk4aExEREREREREREZELJ42JiIiIiIiIiIiIyIWTxkRERERERERERETkwkljIiIiIiIiIiIiInLhpDERERERERERERERuXDSmIiIiIiIiIiIiIhcOGlMRERERERERERERC6cNCYiIiIiIiIiIiIiF04aExEREREREREREZELJ42JiIiIiIiIiIiIyIWTxkRERERERERERETkwkljIiIiIiIiIiIiInLhpDERERERERERERERuXDSmIiIiIiIiIiIiIhcwjJpfPXq1XBUS0RERERERERERERhFpJJ49bWVnz/+9/H9PQ07r33XjQ3N+Nf//VfQ1E1EREREREREREREUVQSCaNf/KTn+CBBx7AH/7wB2zZsgUtLS34zW9+E4qqKQjV1dXRboKo7OzsaDeBiChgBQUF0W4CUUC2bdsW7SYQRV1lZWW0m0BEce62226LdhNCLh7HEKWlpdFuguTE43EOVDyet8HYunXrmutIDUE7AAAVFRX44Q9/iE984hPIzs7GwsLCius899xzaGlpwcLCAj73uc/hM5/5TKiaIznD9mkc6TWj02hFnVaJZr0aqSnJsM/Oo9M4iq5BG+q0hdhTrsJ7gzacvDyOg7UVeG9oDO39FtSVKbG3QoXe0SvQF+biaL8FncZR/MktGtSWKtBqMKPTOIq7ygpRVZQP49gUthblY3ZhCWdGxnG034LaUgXqtUpkp6fhjGkC6txMnB2ZwHnLJJ6orcD7l8fR3mdeLleuQk5GGk4OjuIPH46gUadCg04NVU4mLFOzaDOY0WqwoFGnQpNejSUHPJY16NRITgJaepeX7S5TIH9qFqqcTMH9412n872IiCJh9OosJmYW0GG0oGvQhj3lKqTJpnFqeBynRybw6PYKnB0ZR6UmH0f7LOgcWO5v79ggR0ZqynJf3efZf03OzmJqbgktXn1/sezmP6IN26fRNWhDWUEOzoxM4N2BUeypUGFvhQrpyUlo77NgsyoPaSnJ6DRa0TVow94KNZr07CNjwfDkDI5cNKHTaMXdmzS4U6vE0T7LzWutVoXUlCScNU2gZkOBR1YadGr8srsPqvWZqC9XIjcjDR+a7fj1mUHs06uxo1SB9j4L3hkYxf7NRagtWV6/w2jF52srUJK/HlfmFtDRb8XJoeXc7CgpwK9PD+DTW8rw3tAYjvabsadche0lCrzYZcC24nzs26TGtUWHq911WiWaN2lQnJe16v3AazwBvjlo0quxcN2BI70m1xj2jg1yZKWnYvG6w9Uf37O5GDUbCvDWRdONPlCF3eVKvDswiveGxnBwp85zDHtjrHvMaEGbwYy9FWrUaZV4Z8CK/rEpPFpTga5Loz59655yNerLC7HkcOCdARuO9plxZ5kSjTo1MlOTMTm3gKN9N68RlZp8XLRO4k6tck3nB0Xf6NVZTMwuoKPfEtB11r1vd++v1TlZuPsWDc6Z7Nggy/LJV6VGhum5eZTJc3z65/pyJU5dHsOG/PWu+7ODtTq8N2RDe59l+RpSVoij/Va0993Mdadx+e8dJQrXteI/z1zCpsJc3K6WoaXXjHNmOw7u1KH78jiO9plxV5kSzXoNJmbn8f7lMbwzMIq9FcvnZFpa2s3tFLh/dR/DJIpA90O49lc43j8cZaNep8d5ecXv2CXaxzRSYr39a5HI2w6EdvuTHA6HY60NOnz4MDZs2IC3334bb7zxBn784x/DaDTiueeeE13nxIkTeOmll/DMM89gdnYWL774Ir7yla8Ilp2bm0NPTw8qKyuRkZGx1uauSXd3N2pqaoJaZ9g+jfteaMFZk921rEojw2+faMCnXmrzWf7DT+4AAHzt9yd9XnvtUBM+7lbXW1+4W7DcDz+5A+tSk/Gl35zwee2ZB3dCnZuJB268t1gdzzy4E9cWl3D3s2+5lr3+ZDPue/6IR9ljT+0XfZ/dP3nTY9mbh/f5DMAsU7PY/9zbPusLlY01UsquU8rTLwe9zvUfHAhDS9ZuNeejVEltW6SY3XCxTM2izzYl2I+9+kQDAOCBl9rw6hMNrn7TSaz/e/1QExwAPibQ979+qAnFsmzXteGHn9wh2t/3jk6J9uWR6iOlls2VhCu7we6H4ckZj+ulv2ttaX62YFZefaIB+u/+zlWuJD8bZf/4qk9d3n9f+tYDGJyYFs20d46d44a7n30Lhm/cLzg2ef3J5qAmxpz7S2rXeCnnOdz9bjS3XSgHQv3nsaf2A4DHcn9jXUB4vCw0hv3hJ3egTJ6NB15q8ztO/u0TDdB993cey7zH3+51fu33J4M+P4Ih5cw6ObMLQPJt9eZvDODdT3V3d0Otu9XnXsi7v371iQaYr8wK1vnfh5oC6p9X6uf9XVNK8pcnBpyZFSorNn753WP1KFPmi96/Oscw8SCQPjfQ/RCu/RWO9w9H2ajX6TXmcpUV6JujfUxDIZTZjUeJvO1A6Lc/JD9P8fd///eoqqrCL37xC2RlZaGkpAQ/+MEP/K7T0dGBTZs24ctf/jK+8IUvoKGhIRRNkaQjvWaPAwYA2empONpv8Vl+1mSHfXYOBtsVwdfaDGZkpS1/QHzXRgUuWCdF6/jQIvza6ZEJXLBMIist1W8dp0cmYJ+Zw85ShWtZS6/J9f7ONpwamRBd37muc1l7n8Vn/7QZfPePWFkiolA7OzIh2o8dvzSKDy121JYqcMyrz/bX/3UYrTgj8lqLwQwAaDGYkZ2eKtoHH+2zQJaZJvoe7COl7chFk+u47dqoEL2uA8vfyhHMUb8VB2t1rmtqj2kCL/7ZnR6Z8b6Ov/b5Rpzxk+l3B0Y9ruPO5R9ZJ/Gde6tFxyYtveZV7Qde4wnwzYFQ/7lrowKmqVmP5f7GqX22K5iYmQt4DDswfhUfWuzITk/FxOyc6DnSaRzFwVqdx7I2w/InOYXakJWWuurzg6LP3xjAu58qKCjw6Nvdy7r31xcsk+gx2wXL9Zjtoq919FsF78+8ryEr3b+dM9tx9sY2CZX1N355d2gcgPD9q/sYJlEEuh/Ctb/C8f7hKBv1OkXOS6G+OdrHNFJivf1rkcjbDoR++0Py8xQHDx7EG2+84fr7kUceWXGdiYkJjIyM4Nlnn8Xly5fxxS9+EX/84x+RlJQkuo7zX7Cjrbu7O+Cyt912GzqNVp/lOkUO3jGOCq5jn51H99CY4GsdRit0ihycGLRBp8jB6eFx0TpODtkEXzs1PI6M1GToFDlISoJoHaeGx7GzVOF6P+/3d26Hv/XdywJAS68JO/IcGB9fXkcul6NVJLzeZUMp0p+CkEp2VyuYzEealNsWrEC2hdkNLblcjiH7omg/dqzPih0lBajZIPfps/31f20GC3aUCP8ucofRikfu0KLzRn8q+t79VtxRLBd9vbXXHLY+0lsozrN4yG6g+6G0tNTj2q9T5Ihe1xeXHILjBADoHLCiZoMcL3bdvHbvLC3Ej4996FG3e0a2FuXjzY9G/ObK+9oMLNf/Z9VleOXUgOB6HUYL9peux9DQkODrQoxGY1Su8SsJNs/xkF2naFwzhcZ6Qn2fTpGDydl5j+X++sj3hsY8PpzgTmgM2zVoQ21JgeD7uOsw3jzv/C1ztkGnyFnV+RGM1R63aHzqN5bGZSuNAbyvs6WlpejsMgiWde+vzVOzon2+aVL8tc4Bq+D9mfc1ZKX7r4zUFODGl4nFzjWx9Y/2j+L+24pEr0sdRis+oVfAYBDeD6ESyeyK9bli9/HA8n548DYNPvzwQ2zbts1vuYe3leHUqVNBtyvQequrq/2W+1z1Rpw+fTqgOh+5Q4sPPvggqLJVVVV+yz1UtcG1jwOtc+vWrX7LfXZrKc6cOQPAd8zlWdazbw50X+n1+lWfA1LIbjDHOd4Eet7Gq2DOHXf+chuSSePNmzfjd7/7HbZs2YJ169a5lhcVFYmuI5PJUF5ejvT0dJSXlyMjIwPj4+N+Hz4kha9Jr+YrYnVaJV444dmpQOHRMQAAIABJREFUGGxT+Is79T7LAUCWmY6akgLB1+q1SvzfzouuOh6pKRd8T1lmOnaUKPD8cd86qovlUOdkwmCbQlISROuoLpZDlpkOg21K8P1XakN1sRwvv9fvsaxJr4FWWwatVuta1miHYDuFysYqKWTX5Vfng15Fql81jIWvbAZKqtsiqeyGSd/8CGYXlwRf212hRN66NPy+5zLqtIUe/bK//q9Bt/y78ELqtUokJyejTqvEs+9cFK1jd7kSs4vXsbVYLvh6o14dkT5SqtlcSbR/nqJOe8WVF4NtCo/vqBC8rqcmJwmOEwCgrkyJY/3LA7/qYjk0uZl4b8jmkQnvHJ4emYA6J1M0N7vLlfiXjo98llcXy3Fi0Ia7vHLuVK9VQalUQqlUrrDly7q7u6HVaiV3jY+FPMfjz1N450Co/zTYpvCJyhK/+Xa3vaQAeZnpgq8JjWFrSxVQ5WQIvo+7eq3S5xOm9Voljvb53oRtLynAS119+GLdLUGdH8GIhcy6i6W2Av7HAN7X2YGBgYD6a3VOpui9nCZP/LW6suVxgff9mfc1ZKX7r6K8TCwtOUTL+lt/T3khMjMzRbezXqtEXl5ezB1nf/z1uf72Q1ZWlms/+CuXkpKy6v0VaL3+yqWmpnq8v7+yycnJqyrrr1xGRkbI60xLS/Oq80rAY5dA91UsnAOrza73cY43gZ638SqYcycQIfl5itOnT+PHP/4xDh06hEcffRSPPvooDhzw/xuoNTU1OHbsGBwOBywWC2ZnZyGTyULRHMlp1qtRpfHctun5RewpV/ksr9LIIMvMgE6RK/hag06NmYVFAMDxSzZsVuaJ1nGrSvi1rUX52KzKw8zCot86thblQ5aV4fqERpVGhia9xvX+zjZUF+WLru/+SaYqjQx7K1Q++6dB57t/xMoSEYVaVVG+aD+2a2MhblXJ0DVow26vPttf/1evVWKLyGtNOjUAoEmnxvT8omgfvKdCBfvsguh7sI+UtuZNGtdxO37JJnpdB4AmgXFClUaG+nIlXuwyuK6plZp8HHzlXY/MeF/HP/6zVmzxk+k7ywo9ruPO5bco8/DNN06Jjk2a9OpV7Qde4wnwzYFQ/3n8kg2anEyP5f7GqRWKXORnZQQ8hi2Tr8etKhmm5xeRn5kheo7UaQvxotunSZ3jb+9v8DnbMLOwuOrzg6LP3xjAu58aGxvz6Nvdy7r315tVeahUywTLVaploq/VlysF78+8ryEr3b/drpah6sY2CZX1N365s2T5H1OE7l/dxzCJItD9EK79FY73D0fZqNcpcl4K9c3RPqaREuvtX4tE3nYg9Nsfkgfhrdb3vvc9nDhxAg6HA1/96lexe/duwXJSeiDTav+1f9g+jRbD8lPN67VKNOnUSE1Jhn12Hu8OjOLEJRvqtErsLleie2gMJ4fG8EStDt2Xx9DeZ0adVok95Sr0jV5BRWEujvVb0Wm0Yv/mImwvKUCbwYIOoxV12kJUavJxaXwKVZp8XFtYwhnTBNr7LDeeKF2I9elpOGOagCo3Ez2mCZwzT+JgbQXevzyONme5ciVyMtLw3pANfzg/jEa9GnsrVFDlZMIyNYv2Pgtae81o1KvRqFNhyQGPZXsrVEhOAloNy8t2axVovqVY9KE33nU63yvWSSm7TnwQnjRJbVukmN1wuvnkdOuNJ6ersKdcidMj4zg1MoFHayrQYxrH7ep8HOu3uvrbbcVyZKSmoHtoDO19Fo/+a3J2FlNzS2j16vu9H7JxcmgMG+Xr0TMy4XqC+e4KFdKTk3C034JblHk3nsA+iq5BGxoqVGj081T3UJNaNlcilQfhAcsPZmnpNaPDaMGfbCrCrrJCHOu3oM1w81qbmpyEHtME7thQ4JGVvRVq/LK7H+qcTNRpC5GbkYYLlkn8+vQl7NukxvYSBY72W/COcRT33BgLtBosOGa04FBtBTbI1uPK3IJHbraXFODXpy/h01s24v3LY2jrM2NvhRo1GwrwUpcB2zbI0axX4dqiw9Xueq0KTXp10A/5ct9fUrrGSznP8fwgPMA3B406FRauL2et02jFXTf61Kz0VCxed6DDuNwf37u5CHdsKMCRXhOOX7KhQadCvVaJEwOj6Lo8hoO1OnzgPobVKpGdnopjxuVzraFChbu0SrwzYEX/2FU8WlOOk4OjPn3r3goV6rSFWHI4cHzAhrY+M+rKlNirUyMzNRlX5hbQ3nfzGnG7Wobe0SvYVVYYtofgAdE/boGI5QfhAb5jgAadCo063+us81i49+3u/XVRbiaaN2lw3mRHsSzLJ1+3q2WYmV/Axnyv/lmnQp1WiVPDY9ggW48e0wTOmyc97gXv3qTBro2FONZvRVufBQ06Fe4qW86185rivFb855lL2FSYi9vVMrQazOgx293Ok+X7yiadBvbZebw/PIZ3jKPYe2ObLcZebNmyBYDw/Ws8PUQq0D430P0Qrv0VjvcPR9mo1+lxXvofu0T7mK5VqLMbjxJ524HQbn9IJo0nJyfx/e9/H4ODg/jRj36E733ve/jbv/1b5ObmrrVqANKavJDywG1xcRGpqSH5xZGQu3DhAjZv3hztZkSclLLrxEljaZLatkgxu5E0MDCAsrKyaDdDEqSWzZVIadI4EpaWlpCcHJIvjoWUVPeXVNsFxP+kcThdu3bN4yfy4kksHLdYnzQOVCwci7VKhG10CrbPnZmZQVZW+P6BKBqkOoZYC6vVGpafCpKSYLMbj8c5UPF43gZjYWEBaWnCP5kYqJAk51vf+haqqqpgt9uRnZ0NpVKJr3/966GomoLg/IF7KZqeno52E4iIAjY2JvyQGiKpidcHmRAF49y5c9FuAhHFuXh8eFY8jiHC9UDSWBaPxzlQ8XjeBkPooXfBCsmk8eXLl/Fnf/ZnSE5ORnp6Or761a/CbBZ+WjYRERERERERERERSVdIJo1TUlIwNTWFpKQkAMtf603Uj78TERERERERERERxbKQ/ADuV77yFRw4cAAmkwlf+tKXcOrUKXz3u98NRdVEREREREREREREFEEhmTTes2cPKisrcebMGVy/fh3/8A//AIVCEYqqiYiIiIiIiIiIiCiC1jRp/JOf/ERwufPHpp966qm1VE9EREREREREREREERaSHx4+c+YM/ud//sf1ILz29nYYDIZQVE1EREREREREREREEbSmTxo7P0n82c9+Fq+88goyMzMBAI8//jgee+yxtbeOiIiIiIiIiIiIiCIqJJ80npiYQFJSkuvvhYUF2O32UFRNRERERERERERERBEUkgfhfeYzn8GDDz6IPXv2YGlpCW1tbfykMREREREREREREVEMCsmk8aFDh7Br1y50dXUhKSkJP/rRj7B58+ZQVE1EREREREREREREERSSSePFxUXYbDbI5XIAwIULF3DhwgXcf//9oaieiCimpDz9ctDrdD18WxhaQkREREREREQUvJBMGj/99NMYGRlBRUWFx28bc9KYiIiIiIiIiIiIKLaEZNL4o48+whtvvOExYUxEREREREREREREsSc5FJVUVFRgdHQ0FFURERERERERERERURSF5JPG165dwz333INNmzYhPT3dtfwXv/hFKKonIiIiIiIiIiIioggJyaTx4cOHQ1ENEREREREREREREUXZmn6e4ty5cwCApKQkwf8osrKzs6PdBCIiIiIiIopBGo0m2k0gWhO5XB7tJpCE6PX6aDch5q3pk8b/9m//hu985zv48Y9/7PNaUlISf54igixTs+ieSsX/+Y/jaNSp0KBTQ5WTGXQdbQYzWg2WVdch5fcjosQh1L8kJwEtveHpc9ifUSAZCEdOCkrK8coHRmaP4pr7ufOntxahpkSBjn6LK/c7S8pDVj/PI5KKSOXSMjWLll4z2vvMqC1VoD7tCvIz01C4nucAhUeg2Q7mHLhZ1oxGO9iPJ7hh+zSO9JrRabSiTqtEs16NYhk/ZLkaa5o0/s53vgMAePnll1e1/qc+9SmsX78eALBhwwb80z/901qak7AsU7PY/9zbOGuyAwCeP96LKo0Mbx7eF3BHGYo6It1mIiIhYv3LMw/uxMO/7PBYFoo+h/0ZBZKBcOTEMjWL+3/RwexRXPM+dx6qLsN9zx8JWe7Zh5MURSqXvu9jcI2ZlhzgOUAhF2i2gzkHxHLMfjwxDduncd8LLa48vHBiOQ+vH2rixPEqrOnnKQ4cOIDHHntM9D9/5ubm4HA48PLLL+Pll1/mhPEatBnMrhPC6azJjvY+S0TrCEak34+IEodY/3J6ZAI7SxUey0LR57A/o0AyEI6cMHuUCNxzvmujAheskyHNPc8jkqJI5dLfmMl7OVEoBJrtYM4B9uPk7kivcB5aDOYotSi2remTxl/5yldWve6FCxcwOzuLgwcPYnFxEV/72tdQXV3td52enp5Vv18odXd3R7sJLnK5HK0i4W/pNWFHngPj4+NhryMQzv0Wqffzp6amJqz1e5NKdldLSpn3JuW2BSuQbWF2/fPXv5waHodOkYMTgzbXMn99TiDHQwr9WSSE4jyLh+wK7YdAMgAg5DmJhexJtX8Otl3xkF0nqR4TMd451ylycHpYONeryX0snEfA6o9bpLMLxF7GghWJ7YtULlcaM2WkJsNoNEblHIhkdoPpc+Mx35HcpkCzHcw5ILV+nNmNLr1ej06jVfC1DqMVn9ArYDAYItyq6FrrHMOaJo1ra2sBAE8++SQeeOAB7Nu3D2lpaQGtu27dOnz+85/HZz7zGQwMDODJJ5/EH//4R6SmijepsrISGRkZa2nymnV3d0dlAOZPo335KxjemvQaaLVl0Gq1EanDH+/9Fu73kxopZNflV+eDXkVqmXeS4vkIYFX7GJDmfpZUdgMk1r9UF8vx8nv9HsvE+pxgshXv/Zlkz7MVhDq7/vbDShkIpMxqciLl7Ek1N1Jtl7tw9buxsO1C3HNusE3hkRrh3y9ebe6lfB4BsXfcYqmtwYrksYhULv2NmUrz10Or1UT9HAi3QPvcWDsXAxGNbQo028GcA1Lvx8MlkbPrT51WiRdO+OahXqtEXl5eQu2LUBz7Nf08hdNf/MVf4NixY9i/fz++/e1v48yZMyuuo9Vq8YlPfAJJSUnQarWQyWQYHR0NRXMSToNOjSqNzGNZlUaGvRWqiNYRjEi/HxElDrH+ZWtRvsenjEPV57A/o0AyEI6cMHuUCNxzfvySDZuVeSHNPc8jkqJI5dLfmMl7OVEoBJrtYM4B9uPkrlkvnIcm3f9n786j2rrv/OG/2c1mQAhJgFkEwk5cE2NjY8dgG7BTN0mbtHHixnGdiRtn6TR9Tmd+p9PlaWY6y9OZ/GaSTjvN1iRO2iR1kmmdpI3bOI7BCxCDjbFjxxsCsRiQhBBgzL49f2Bda7lXSFhCErxf5/gco7t9772f+/kuurpX5aMSBbabutPYYvXq1Vi9ejWGhobw8ccf43vf+x5iY2Nx//3346GHHkJ4eLjDMn/4wx9w+fJl/OxnP4PBYMC1a9eQlJTkieLMO8rYSBx4YjMOXWrDMZ0JJTkqbMxWuvXQd8s6jjQYUF6vn9E6ZlLm2doezU0Fvz/v9l2948/u9FJpyF9I5ZfgIGDvzvUezznMZ+RKDHgjTpSxkfjg4SLUtPcy9mjOsr92+kdGsf+xTajUGYW4L0iJm3HcM4eTP5qtuLRsp1yrx2GtAQXpchRlKZAQGYakGF4D5HmuxrY714D1vGX1HSjNSWYen8dS46Oxf3cpyrR6VOiMKFIrUKpR8SV4M+SRQWMAqK6uxocffojKykps2LABd911F6qqqvCd73wHr732msP8999/P3784x9j+/btCAoKws9//nOnj6Yg55SxkVgZM4aHHlh7U+vYlpeJbXmZniuYH22PiOYPqfzirZzDfEauxIA34qSrtRHb8vMZezSniV071n/X1tYiUzHzn18yh5M/mq24VMZG4sEVajy4Qo329nakJC306vaIXI1td64By7yr4yaFR4PR/JUaH42dq7JxT44ccXFxvi5OQPPIKG1JSQkWLFiAJ554Ak8//TSMRiMyMjJQUFCA+++/X3SZ8PBwPPvss57YPF3X39/v6yIQERERERFRAOro6EBKSoqvi0E0Y2azec4+w5jcp9Vq59UzjL3BI8803rVrFyIiIvD1r38dZrMZTz75JN59912EhITg/fff98QmiIiIiIiIiIiIiGgWeGTQ+L333sPevXsBAKmpqdi3bx/eeustT6yaiIiIiIiIiIiIiGaRRwaNR0dHERYWJvxt/X8iIiIiIiIiIiIiChweeabx5s2b8Td/8ze48847AQCffPIJNm3a5IlVExEREREREREREdEs8sig8Q9+8AN8/PHHOHHiBEJDQ/Hwww9j8+bNnlg1EREREREREREREc0ijwwaA8BXvvIVfOUrX/HU6oiIiIiIiIiIiIjIBzzyTGMiIiIiIiIiIiIimhs4aExEREREREREREREAg4aExEREREREREREZGAg8ZEREREREREREREJOCgMREREREREREREREJOGhMRERERERERERERAIOGhMRERERERERERGRgIPGRERERERERERERCTgoDERERERERERERERCThoTEREREREREREREQCDhoTERERERERERERkYCDxnNIRkaGr4sgafny5b4uAhGRy3Jzc31dBCKXJCcn+7oIFCDmcl7LysrydRFoHpDJZL4ugtexTpGWl5fn6yJ43IoVK3xdBI+bi/t0s+bzMZnP+w54Zv9Dfvazn/3s5osyc11dXbjzzjuxYcMGyYp4fHwcRqMRCoUCoaGhs1xCWx0dHUhJSZm17Rn6BrH//BX8uuISYiNCEBYcjA/OtuKFykvoGRiBPDoCBy+245dHL2AYoVDELIB5YBjGvkF8eK4V755uQnp8NA5c6sDzFZcwOjGBmPBQlGv1GBwbx8FL7Xix6jKM14YQExGKkdFxtF8dwJ/OteKvF9uRkRCDD8+14vendEhPiMbB6+sxDwxjAkB1cyeiwkPQNzyKD8624sWqS+gbHkN4SDD+s+wLdFwdRGJ0BIbHJrHv8xa8UHkJo+MTiI0Iw4eW/RgcQWJUBD65vh/dAyNIjI7A521mBAcH4ViDAc8ePg/z9c+HRsbRcXUQH19swwuVF2G8NoTo8DBcHRrBM2VfoKt/CEkxCxATETZr50mKP8Wuxb988rnby/zTFv8c9PfXfZlJuR7LTZrV3DIdV2LXkp/eqtVdzzPteL5i6pqMWxCO4bEJmPqHYewbwsHL7RidmMTBS+3YW9ckzP92bSMWxUejracfYxOTQn4bHh1H3IIw7D/fJqwzKjwUo2MTqGnuREhwEP50bmre7oERJERF4PmKixgZG0dE6I08ackn4xPjGBkbQ6u5H4Nj48L0vqFRRISG4D/Lv0B77wCCgoLQPzyGTy4b8HzljVxX1WhA3IIwLFwQPrsnwg/Mdr13s1yJ3bbeAZxo7kS4XawoYhbg6vAoPjg7VV+ZB0Ygi4rA6Pg4IuMTcfBSO4bHJ1DZaEBwEDAwOo4/fdGKow0GpMZFOcTdb2sacMl4FfLoCHT1D2Pf5y1473QT0uNj8Mn1+E+Lt9StN+Jcf3UQlbpOBAUB/1V+XojNa8OjOHCxHc9XXELv0AgiQoPx8slWdF4bcqx3R8dxWKvHazVaZMRH48DFdvy68iK6B0Ygj1mAhQu8W0f6a9z4a7kA1/NuWX0HBkZvtOH6R0Zt2j2d1wbR1jOID8+14OXPLuPq0BjiI8PRMzSKA5du5OIXqy6je3AYCQvCMDAy1f778GwrfvPZZfQNjyE0OAiH6jsQExGKwZFx6PtutL16h0YRGRaCjqsD+OvFdrxzPa9/cmkqPq8OjSAsNFiI3wkAx5s7Eb8gHHqrNmpafBSONhgwOj6JQ5c78HzlRVwbGcPCBeHYf6HNps35WZMRwUFB+M1n9VDELMCBi+14ofIirg6NYsGCSFTpOhG3IAyxC8LQeW0Qhr4hdPYP27QXI8NDcXVoFGMTE4gO93070RX+HLMWltgF4PdlnY5138tybQ2OjuGjL67grXN69A2PISI0BC9/dhmpcVHoHhiB8doQ/nSuFS9/dlm4NsbGJ9B5bQgGq2l9w2NIiAxH//AY3r9ez/Rcry8O1evxy6MXMDQ6huiIUPzlfBuer7wI47Xh69M78MujF2EeGBbaKn+90I63TzVOtakudgg5Pj4yHFWNBoSHhqCy0YB+q3xhHhiGImYBeodG8NEXV65vY6ovNTw6jqNXevHrCtv2T3REKHoGh6Hvu7EvV4fGEB8Vjp7BEYyOjyM6fOq6a+u9kXv6hsegil2A3sFRYX9nqw5yhav9tLaefnxwthUvVV2eKn90hGh70DKfsJ8S83lr3pms88Vp9snb259L+zSb3I1dV47JXDOf9x3w7P4HTU5OTnq4fC4bHR3F97//fWi1WrzwwgvIzs4WnW94eBjnzp3DsmXLEBERMcultFVbW4v8/PxZ2ZahbxBbXv4UZzt6AABNT9+Hr71aJvwNALnJ8Xju3tW446WDAIBjT20BAPztH6txtqMHB5+8A3//4QlhGcvfz9272uZzy7re31WMb7x+GGc7elD/k6/jvuv/t1+P9bbVsmhhGbFy5SbH48+7S5H5r/tsyuBsP3KT4/HR7lJ89dUy7NtVjJyffyBaRuvlX9i6BkNjE8I2DzyxGcrYSA+ciZnzp9i1CPk/b7q9zPizO71Qkpvnr/syk3LVPLR01nKLK6aLXev8JHZNW3IRMJWPrHOO9fyW/1uud/tcJXadpyVEi+bCfbuKERYSLDrto92lwt9fdZJHLdtY/+sDDtP//sMT2L+7FKnx0TM9rAFpNus9T5gudtt6B3D3K4fw592lDrFy7KktQv1pYV0fWeLAvu6Tqp8tdZ91XInFv1R9ZtnWdLFpmW5f746OT6DJ3C+6jf2PbUJqXJTHjrs9f40bfy0X4HrelWrDHXhiMwCgwdQnGsfWcWU9rfnp+9DS3S+6jCXWO64OSq7TPq7tl7eOzwWhwQ5tVPv9cbauv//wBPbtKhbap2LT9+8uRXN3PwBIlhkAsuWxPm8nusKfY9bCErsA/L6sztj3vQBI5t59u4qhvzoIQDzO3t9VPO11Y/2Z5VpxtZ803bVnuU7Erhepus66L2W93b//8IRk/8uynxmyGDSbrzmsV2pb3q6DXOFKP62tpx93i9Tv9u1BV+fz1rxzcfuBtE+zzZOxOxfN530HPL//Pn08xTPPPIMHH3wQCoXCl8XwW4e1euFE/3935aG8Xm9z4gHgbEcPLhl7sSZdjrUZchivDeF0ezfOdvRgbYYcF429wjKWv6PDQ20+t4gOD8XRRgPOdvTg0TUaHLv+f/v1WG+7b2gEFY1Gp+U629GDw1o9/u3OPKfrssxv+btcq8ffbbgVFY1GfLtA41BG++XPtHejb2hE2OaRBsNMDjsRucCSn8Su6bUZcnT0DaKrfxin27ttco71/Jb/v7B1Dcqs8puzPHHReBVnr+c4+2n6q4OSebJcq0diZITNdqynW+erM+3dQi6ynh4VFooyrd4jx49859DlDjy4ItMhVtZmyIX605olfgrSb9ShQUGTQl3krH621H2WuHq0QCN6Ldgvd6a9Gz0Dw4gKC3UpNi3T7evd/uFRXB0aEd1GWT1jOdAc1uol23BnO3pwrqMHZ9u7JeP4ovEqugeGbaa9/uA6fO5kmfbeAbRfHcA5fY9krFrHtf1065hsMF1Fx9VBm/iPDg+F1nTVpfxvycMVjUZEhYU6TG8wXUVUWCgONxgwPDbutMz66+Ugsmbd97IQy73R4aG4aOhFR9+g5LVT1dQpxPt067PE96MFGpvrwX66dT9pumuvotGIb+ZlCv05C2d1naXusd6O5bo7JnHdVeo6MTw2jpbuaw7XnLNtBUoddEiifrdvD7o6n7fmnYvbD6R98keBXv6bMZ/3HfD8/vvs9/L79u2DTCbD+vXr8Zvf/MalZSzfYPtabW2t17chk8lQbnVSC9LleLeuSXTe021maOSxCAoCzAPDONNmBgBo5LHC/63/tv/cenqVrhMAkL9IJvxfan4A6BoYRk2LyWm5qltMqNAZsW15Ji4aeyXXZT0/AFTojPh/im7FryouIH+RDHtqbMsotnxEiFxYR1l9B1bHTcJsdtzebN8F4S+xO1OzEfOzxZ/3xZWy+UPsWucnsfygkceid3AEQYBDzhH7/4N5mfjtiQab5aXyRE2LCQVpiaLTRicmUKkzik6r0Bnx0Eq15HTr/GOfi6ynV+iM2Lo0GRcuXBBdz1zlievGH2I3PT0dlTojvrki06FOdRZ3FToj8hfJcOrKVBwEBwUJdZGz+tlS9wFTMbQyTYa6K+J1tLXTbWasSZ+qz1yNTfvpFTojVi1KhLl/WKJsBmxJj0Fra6vodE/w13zrbrn8IXYteddZ3LR0XwMQ5Fb+XJWWiOPNnZLLVOqMSIvPRG1rl+h0+7gWm26JyZOtXcJglHWb1Hrd010XGnksKpuMDtcBAJxs7YJGHotjjUZsX+G8zGvS5egZGoFOpxNtJ/qbmV5Lvrjr11+v++nY972s2edejTwW+r6pu4yl4vVYo1GyvSKVy1emyZzGrfUy0117lU1T9c97p5tsPne17rHejrPrrkI3db2NjE84lN15veq8DprN2JXqp+Xl5TltV27Py8CZM2ewYsUKp/PtWKlGXV0dAHhl3rm4/UDaJ3v+ELs3U/5AN5/3HZj5/juLW58NGv/xj39EUFAQPvvsM1y4cAE//OEP8eKLLyIpKUlyGX/4if9s/kSspAd45bgWwFRDv1CtwKvVWof58lJlePNkI4KCgG/kpmN56tSzobWmPuzIv/FiEMvfb9c22nxuPf3x23PwarUWtVfMKFQn4dVqrcN6rCVGRaAwUyGUU6xcAFCkVqCmxeR0XdbzW5abM2ZxAAAgAElEQVQ52WpCYaYCxxqNDmUUWz4xOgJaUx8AoDQnGWp1JtRqtej2ZpM/xK7g9+fdXsRvf2ror/syg3IB/nmcpWLXkp/ErmmtqQ/3LEtDeHAwlqfKbHKO9fyW/1809trkN2d5oiBdDlXsAtFpYcHBknmySK3AyOjEtHnU/v/2079TuBhRUVF+ea68JRB+Gi1GKnYL1VdF61RncVeknqqH8q7H88TkJNZdryOd1c+Wug+YiqFTrWbkLRKvo63lpcoQHxkOrakPO1dluRSb9v8vUiswNjEBWbR43VOkVkKhUHjt117+Gjf+Wi5rzvLur45dlIyb9IQYTE5OYnBM/B0hBelyxNk9R/RkaxdUsZFC29FeoVqB0JAg5KclSuZO67gWm26JyVVpiYiLnHqennWb9G9WZ7uU/y3renLdYrxUddlh+qq0RLxe04DvFi3BxOSk0zLHR4ZjYWQ41Opkv2gnOhMIMWstkMpqz7rvZc0+92pNffhmXiYGx8Ylr531WQosCA0RnSaVy0+1mrEqXTpurZeZ7torzJyqfyx1lXXZXal77Lcrdd0VqRWYmJzEgtAQh2vOeb3q3TrIHc76ac7q99DQUCHenc0XHBxsc114Y965uP1A2idfmWns+kv5vWU+7zvg+f332eMp3n77bbz11lt48803ceutt+KZZ55xOmA8HxVrVMhNjgcA/L9/OY2SnBt/W+Qmx2OJIg7VLSYcbzZBEbMAeSkJyE2Ox/FmE25RxAnLWP7uHxmz+dyif2QMG7KUyE2Ox2vVWqy//n/79VhvO3ZBOIqyFE7LlZscj2KNCj/962mn67LMb/m7RKPCL45eQFGWAntqtA5ltF9+eUoCYheEC9vcmK2cyWEnIhdY8pPYNX282YTk2EgkRkcgLyXBJudYz2/5/9/+sRqlVvnNWZ64RbEQuddznP001cJIyTxZolGha3DYZjvW063z1fKUBJs7aSzTB0bHUKpReeT4ke9sWpyMd+qaHGLleLNJqD+tWeKnpuVGHTo5GSTURc7qZ0vdZ4mr12q0oteC/XLLUxIQHxWBgdExl2LTMt2+3o2OmHp5o9g2SnMYy4GmWKOSbMPlJsdjWXI8clMSJOP4FsVCJERF2Ezb9U4VbnOyTEpcFFIWRmGZKl4yVq3j2n66dUxmyxcieWGkTfz3j4xBI1/oUv635OGiLAUGRsccpmfLF2JgdAzF2UpEhIY4LbPqejmIrFn3vSzEcm//yBhuUcYhOTZS8tpZl5kkxPt067PE92s1WpvrwX66dT9pumuvKEuBd083Cf05C2d1naXusd6O5bpbL3HdFaqTEBEagvSEGIdrztm2AqUO2iRRv9u3B12dz1vzzsXtB9I++aNAL//NmM/7Dnh+/336IjyLnTt34mc/+xlfhCfC0DeIIw0GlNfrsX1lJrITY1Gm1aNCZ8R6tRIlGiWqm004cLkdRWoFNuckY2R8AsNj46jQdeJy51V8u0CDU1e6cLjBgDtvScHKRYk4daUL6bIYnOvoRpWuE2sy5ChUKxATFoqrI6Oo1HVC3zeIb+Vn4UiDHuf0Pfh2gQZ1V8w40mDAOnUSliUnoKX7GlakyhAcFIRyrR6Vuk4UZyuxYpEMe2q0WKaa6myHBQfjk8vtqNAZsWVJCgrS5TisNeCYzoD1WUoUZytR3dyJTy53oEitQIlGhWZzHzJksfi83YwPv7iCokwFinNUCA8OxtXhUZxoNeFogxEF6XIUZSkQFhKE31TVY8UiGTZmK/3i5Sb+FLsW/vryuJnw132ZDy/CA27kp7orZuxao8Gp1qk8U5AuR7FGiaiwUAyNjWNkbAKn2rqwRBGHcx3dOK/vFeY/3d6NRwqyMTw6hsToBSi/nt++vDgZazOScExnxGHt1DoL1UlYGBGGC4YeZMsX4mijARU6I4rUCmzMVuGt2gasTZdjiSJOyJOWfBIdHozgIMDYN4zI8LDr+cqIjdkq5C9KxOs1WixVxWF5igwx4aGobjHhqFWu05n6sCZDPi9enmAv0O5yc+nlIL0DuGToxWLFQiHmLHXoBICy+o6pzzIV2KhRISosGMNjE6huMUGdGItG01V8SRWPqPAwHG0woGdwGF/PTbdZV4lGhffPtiA+MhylGhVGxidQrjXY1Mun27uxqyAbdVfMwrVTqE7C6PgEtKY+3KqMwxs1DUJsRoeH4ETL1HW2IVuB/EWJeKOmActTEhzq3YiQ4Kl6stGIbxfkoPZKF4406FGoVqA0J9nrLyDy17jx13IBrufdmhYTFsVH41xHD6p0RpTkqGzaPZ3XBtE9OIqKRiNqWkzYmK1EkVqB0fEJ1LSahFxcpetEYZYCG9RJCAsJwdXhqfZfTYsJxdlKLE9NwNn2bhRkyBEREoJrI2NC22tDtgKr0+QYHhtH3RUzzhtu5PUjDQZsyFZi5SKZEL/LkhPQYr6GgvQkXBsZRaXOiEvGq3ikIBvnDT3ITlyIL/RT76Mo1iixLlOBKp3Rps3ZZO7DUmU89n3egvtuS0ftlS4cbTBiY7YSX1LFQ9fVh9XpcqTERaHz2iD6hscwNjGJk1btxUJ1EsJCghEbEYqkGN+3E13hzzFrMVdehAfY9r0s11ZwEFCuNaC8vgMbNSqsXJSIP55pxjdXZAIARscnhGvHcm0sjAjDwOgYRqymFWumrsWQoCB8er2eWa9WolijRG1rFz6+2I7Ni1VYlS5Hla4TRxoMWJshR2lOMmqvmPDJxQ6sUyfZtFXOtJsdcvyGLCXO63uwVBWPL/TdSI6LxrmOblTqOlGoTsLmnGSMT07iWOPUNWbpS8WEh6Ki0YByrW37Jz89EZOTkxgam0DV9X3ZmK1EUdbUXcZRYSFIiol0yD3FGiU25agwOj6JQ/V6VOgMKFIrUZqj8vlL8ADX+2ltPf027cpSjUq0PejqfN6ady5uP5D2aTZ5Onbnovm874Bn998vBo2n408Db/7ccDOZTJDL5dPP6ANjY2MIDfXZ01B8xp9i18JfB1pnwl/3Zb4MGs9lw8PD83K/xfhzvSfGW7Hrr8ehvb0dKSkpvi6GA389Xv5aLsD7eXcu57Xu7m4kJCT4uhhe4c8xazGXBo2d0el0fv84k5vlr3WKN7ibc+dif3ZiYgLBwT778blXzMV9sudu7M6HYyJlPu874Jn9n79Hbw5qbm72dREknTlzxtdFICJyWaC/vJLmj46ODl8XgQLEXM5rjY2N089EdJMC4aWJN4t1irS52J+diy8Em4v7dLPm8zGZz/sOeGb/OWhMRERERERERERERAIOGhMRERERERERERGRgIPGRERERERERERERCTgoDERERERERERERERCThoTEREREREREREREQCDhoTERERERERERERkYCDxkREREREREREREQk4KAxEREREREREREREQk4aExEREREREREREREAg4aExEREREREREREZGAg8ZEREREREREREREJOCgMREREREREREREREJOGhMRERERERERERERAIOGhMRERERERERERGRgIPGRERERERERERERCTgoDERERERERERERERCThoTERERBSgZDKZr4tARERE5BfYLiK6YenSpTe9jlAPlIO8yNA3iMNaPcq1BpRolCjKUqK21YS/XGhHiUaJYo0KytjIaZezn2+66URErmrr6cehej0qdUYUqhXYlKNCany0zTzMOUTukbpmDH2DqG7uRFpCDM62d6OqqRMlPWA9T17lajzZz1eao8LEJNyORcYv+aOwsDCXYtOVdhHNb+7kuEDJh74u543t60XbRUTziSfrIZ8NGo+Pj+OnP/0pdDodgoKC8M///M9YvHixr4rjlwx9g9jy8qc429EDAHjleD1yk+Px3L2r8crxeuHvA09sdugoii1nmW+66URErmrr6cfdr5YJ+eTVai1yk+Oxf3epUDEx5xC5R+qa2f/YJtz9yiE8d+9q7NpbyXqeZoWr8SQ237GntuBv/1jtViwyfslfLVSlTRubrrSLaH5zJ8cFSj70dTkdt6/1y+NENBs8XQ/57PEU5eXlAIB33nkH3//+9/GLX/zCV0XxW4e1euFEW5zt6MElYy/WpMuFv480GFxazjLfdNOJiFx1qF48n5Rp9cLfzDlE7pG6ZsrqO1CQJsdFYy/reZo1rsaT/XxrM+Q43d7tdiwyfslfVTZ3TRubrrSLaH5zJ8cFSj70dTl9vX0if+Lpeshndxpv3rwZxcXFAID29nYsXLhw2mXOnTvn5VK5pra21uvbkMlkKJc4qafbzNDIY1HdYgIAlNV3YHXcJABAp9NJLldW34GS1Gin01fHTcJsNntgDxzNxnFzVX5+/qxuz19id6b86dzdLH/eF1fK5k+xm5OTg0qdUXRahc6Ie3LkMJvNPss5N8ufY2W2eeJY+FPszpSv6/8KnREr02SouyJ+zZTVd6A4Jcpvrjl/vYbcLddciF0Ld/fdWTxax5PYfBp5LM60SceqWCy6uj0x/hpvnjDTfZvt2AXm7nmQyWQ41tQpOs0Sm4mJidO2i7RarTeL6RH+cA5nM3bdybk3e2zcyXE3kw/dMZv75A2+3r69uRq7gWw+7fvSpUud1kNblybjwoULDtOcxa1Pn2kcGhqKH/7whzh48CB+9atfTTv/smXLEBERMQslk1ZbWztriaCkZ+qnFfbyUmV482Sj8HdpTjLU6kyYzWao1WrJ5UpzkpGUlIQSzTXJ6Wp1JtRqted24rrZPG7+yB9iV/D7824v4rfnzl/3ZQblAvzzOE8Xu4VqBV6tdswnRWoF4uLiEBcX5zQnqdXeyTk3a77nLGuBeiw8nXf9of4vUitwrMGIvEXiL3kpzUmGQqFAiabf59ecv8aNv5bLmrfaDDPdd1dzuP18WlMfduRnia7TWSzOpM4IhPM6U4G2b4FUVnetN407jU1g+naRvx+fQIs3T3A153rq2LiT47zdhvbFPnmDr7fvK7Mdu4FoPu67s3ooKirK7ePhs8dTWDzzzDM4cOAAnn76aQwMDPi6OH6lWKNCbnK8zWe5yfFYoogT7jLOTY7HxmylS8tZ5ptuOhGRqzbliOeTUo1K+Js5h8g9UtdMaU4yalpNuEURx3qeZo2r8WQ/3/FmE/JSEtyORcYv+avCjMRpY9OVdhHNb+7kuEDJh74up6+3T+RPPF0P+exO4w8++AAGgwFPPPEEIiMjERQUhOBgn49h+xVlbCQOPLEZRxoMKK/XoyRHhUK1AqeudOHxtTkoyVFhY7bS4eHuYstZzzfddCIiV6XGR2P/7lKUafWo0BlRpFagVGP7dlbmHCL3OLtmDjyxGTUtJry+vRDnOnpQpTOynievcjWexObLSYp1OxYZv+Svrupbp41NV9pFNL+5k+MCJR/6upzW2y+r70BpTrJfHiei2eDpeshng8Zf/vKX8eMf/xg7duzA2NgYfvKTn2DBggW+Ko7fUsZGYlteJrblZQqfpcZF4WtfSnN7OXemExG5KjU+GjtXZWPnqmzJeZhziNwjdc0oYyOFNsCKVBmKEoOEn0W7sjzRTLgaT1LzuRuLjF/yR6Ojoy7FpivtIprf3MlxgZIPfV1Oy/ZXx02KtouI5hNLPbR1aTKioqJual0+GzSOiorCL3/5S19tnoiIiCjgWd5nQERERDTfsV1EdMOFCxdu+pnOfB4EEREREREREREREQk4aExEREREREREREREAp89noKIbIX8nzfdXmb82Z1eKAkREREREREREc1nHDQmIo/jADgRERERERERUeAKiEHjyclJAMDIyIiPSzJleHjY10WQxLK5Ljw8HEFBQV7dhrdjd7aO6WxsZy7ty0y5Wra5ELuBwJ9jZbZ56lgEeuz6a0ywXO6ZSbkCPXYt/PWceAL3Tdxsxi4wt88DMPf3D/CfffR27M4k5/rLsfEk7pPnMXb9y3zed+DmxxiCJq1reT/V19eHy5cv+7oYNMcsW7YMERERXt0GY5e8gbFLgYqxS4GKsUuBirFLgcrbscu4JW9h7FIgkorbgBg0npiYQH9/P8LCwrz+TTnNH7Nx5wVjl7yBsUuBirFLgYqxS4GKsUuBytuxy7glb2HsUiAK6DuNiYiIiIiIiIiIiGh2BPu6AERERERERERERETkPzhoTEREREREREREREQCDhoTERERERERERERkYCDxkREREREREREREQk4KAxEREREREREREREQk4aExEREREREREREREAg4aExEREREREREREZGAg8ZEREREREREREREJOCgMREREREREREREREJOGhMRERERERERERERAIOGhMRERERERERERGRgIPGRERERERERERERCTgoDERERERERERERERCThoTEREREREREREREQCDhoTERERERERERERkYCDxkREREREREREREQk4KAxEREREREREREREQk4aExEREREREREREREgoAYNJ6cnMTw8DAmJyd9XRQitzB2KVAxdilQMXYpUDF2KVAxdikQMW4pUDF2aTYFxKDxyMgIzp07h5GREV8XBV988YWviyCJZfM//hS7FnPpXHBfvMcfY3c2+dv58KVAOxbeil1/PQ4sl3v8tVyA9/OuP+/7zeK++ZYlds+dO+fronhVIJyLmzUf9tHC3Zw7F48N9ykwMXZdN5/3HfDM/gfEoLE/GRoa8nURJLFs5Iq5dC64L+QtPB838FhM8dfjwHK5x1/LNRvm8r5z3/zDXP+iOZDOxUzNh32cqbl4bLhP88N8Pibzed8Bz+w/B42JiIiIiIiIiIiISMBBYyIiIiIiIiIiIiIScNCYiIiIiIiIiIiIiAQcNCYiIiIiIiIiIiIiAQeN3RQdHe3rIhDRHLR06VJfF4GIaM7LycnxdRGI3CKTyXxdBCIC6w8KXOxn0s0I9XUBAoGhbxCHtXqUaw1YnylHQt8glLGRkvO39fTjUL0elTojCtUKbMpRITWeg81E5Gi+5ouQ//Om28uMP7vTCyUhornM0DeIi4YeZMsXomwe5tr5IiwszKa9XqJRolijctpeny2GvkFUN3ciLSEGZ9u7UdXU6VL5buyPHiU98Jv9mU3untO23gEcutxx4zpfnIzUuCiPrJvmL1+31RmrNFO+jl2aGzhoPA1D3yC2vPwpznb0AABeOV6P3OR4HHhis2iybuvpx92vlgnzv1qtRW5yPPbvLuUFSkQ2mC+IiLzH0ob78+5SfJW5dk5bqEpzq70+Wywx+Ny9q7Frb6XL5XPsf2j9Yn9mk9t9sN4B3P3KIcfr/LFNDgPH7q6b5i9ft9UZqzRTvo5dmjv4eIppHNbqhQvN4mxHD440GETnP1QvPn+ZVu+1MhJRYGK+ICLynr6hUfz8rhUoZ66d8yqbu9xqr8+Ww1o9CtLl0HX1uVU+d/sfc5HbfbDLHeLXeb3jdc7jS67ydVudsUoz5evYpbmDg8bTKNeKJ+Tyej16B0fwbp0OT/7vcbxbp4OhbxBf6HtE56/QGb1ZTCIKQJUSeUHqcyIiml5b7wB+d6IB/1n+BeIjw1HV1Ck6H9tmc8cxiXNcLjJgOJsWK+KwLS8TNS0m0enW5TP0DeLdOh1er9aiXKJT7+v98RbLvlv3qeraukXnlToGUm2nCp1jX85Z/47ImnRczU79wVilmWI/kzyFj6e4TupZQSUaJV45Xu8w/0aNEk/tq8bvTzUBuPFTkXcf3oD/OnzeYf4itQJfdHTjfyou8VlERAQA2JitwqvVWtHPiYjIkf0zSzcvTkZYSBDK6qfacH+/cSm2/e6IcHfNOX0PHl6VLbquIrViNotOXrQ+MwmvHHesT0tyfFefGvoGsWtvJaLDQ7EjP8thempcFP6ueCnerdNhsSJOeHzF2gy56PzAVP9jrpH6+f17f7MR/1n+hcP8Uue0UK0QbVMVqR2P2cZs6f7dp5fa8YfPW9hfIwDO4urm6g9Xn1PsLFaJnGE/kzyFdxrjRmPlobcq8Mrxejz0VgW2vPwpDH2DKMpSIjc53mb+3OR4rExNFAaMLc529KDuihkPrcx0mH9jtgqPvXfcYf1ENH+tSksUzS/5ixJ9VCIiIv9leWbprneq8Gq1FrveqcJdrxxCfWcfHnqrAmc7uvFpve1P1I83m5CTtFA015Zq2HGaKwozxOvTjdm+G1ix/Kz8eLMJtyjiHMr3zs712PbbI/jVsYv4rKlTiFup+XOT45EeHz3n+g9SP78/daVLok8lfk435agkrnPH+fMXicdLXooM//jxGfbXSFCsEY+rmxl4czb2YE8qVleyr0DTYD+TPIV3GkO6sXKuowf9I6N47t7VuGTsxek2M/JSZViTIceeGsdv/ADgcIMez96zCncsTkFlkxGFmQoUZSnw1skGaOSxqL7+8zTLs4i25WV6e/eIyE/tqal3yC9LFHHYU6PFf3x1pa+LR0TkV6SeWXqmvRtr0uXQyGNxps3ssNwjeyvx4aMlOK/vwdFGA4rUCpRq+AbxueSqvhUHntiMIw0GlNfrUZKjwsZspU/vErX+WfkjeyvxxvbCqfq+3Yytt6WjubsfZzt68K18tUPcWuZvMl9DdXOn0D548M1j+K978udU/0Hq5/dHtAb8+r41+NqX0lw6p1/oe7BvVzEqGo02fbDzhl6Ha12q/fV6jZb9NbLxVm2DaFy9VduIn2zOndE6nT2n2D7WJPsK1ewrkHPsZ5Kn8E5jSDdWWrr78ZcL7bjjpYN482QjBkfH8ebJRnxvXw0WJy0UXaZQrcDX9xzGsUYjVqTIcKzRiJyff4CEqAhoTX222+WziIjmtRz5Qof8csdLByXzCxHRfCb1HL7TbWZo5LHQmvqwPFXmML2tdwDnOnqwIz8L//fLS7FzVTYHjOeY0dFRKGMjsS0vEy8+sBbb8jJ9/liBEqs7XNt6B4T6/oHlmYgKCxVeZCUWt5b54xeEIWVhlNA+aOsdmHP9hxKJn9mX5KgQFxnu8jndd7YVOT//wKEPtu/zFod5FyeJt78yZTHsr5ENVWykaFypbiK/uPOcYqlYZV+BpsN+JnkKB41xo7GyNkOOb+WrsTZDDgBIT4gWpgUF3fh3vNkk+diK0pxkDIyO2cyfmxyPJYo4BAVBWP/aDDkeKRB/xh4RzQ9FWQrkJsfjv+7Jx39/fTX+65585CbHo1Cd5OuiERH5nW/kpot+npcqg9bU5/Rn/aXXn4Oq1To+34/IG+5YnILntxbgn7bchkfXaPBPW27DD0qWYnlKAhYnLcT9t03F8/FmEwrS5fjRpmVCHwQAdqxU4xZlHD653G7Th/Dlc5q9Qfrn/+49WsTSZ9tTo8V399VgT83UtS52vCz9uOoWExq6+pCTFIsdK9UO/TX75RcvXuxWmSjwWWLlvKEHnzV34ryhB7nJ8SjKmvkzjaXGHpzF6j3LFuGRgmzcs2zRTW/fmkzm+EUrzQ3sZ5KnePXxFC+//DLKysowOjqK7du344EHHhCmlZWV4fnnn0doaCi2bt2Kbdu2ebMoTpXmqHDsqS043d6NM21m7MjPwn9+LR85SbEAIDotKToM+3eXokyrR4XOeOOnjnFR2L+7FIfq9ai8/vk/ffk2dA+OYEd+FprN1/CjTbk4daULr9c04JLxKnJTEtDQeRW3ZybxzheieSQ5Nhwf7S5FWb0evz3RgEK1Ah/tLsXCCH6fR0SBoa2nX2jzFKoV2JQj/diHzmuD6B4YRYXOgJoWEzZmq7AqLRH/e7oJW5dn4NQVM4402L4UyPrFdxuzp9prD755DG29AwCmBpeWpyTgqes/J39kbyXe2bkezd39ONygR5FaidKcqfYZAISFhbn8AiIiwPUXVtkvU1avR5P5Gh4p0OBUaxeONhqhSVyIroFhvFGjxfIUGU7+3V24NjKGk60mdPUP4/Hbc/Di/WsRHR6CmpYu/PLoBXxn3RLkpyXijRot1mUqsDYjCT/66BRWpCbMidhVxka6/WgR+xdiblqcjM2LpwafrX/2LzX4nBAZhle33Y7oiDBU6Yw40WrChmwVshJj8Pjti1GlM2JHfhZ+ce8qZCTE4JKxFxWNU/NtzFZh5SIZ9lRr8SVVPDYtThbyixTmnMCVGBWG93cV42ijAVW6Tjx+ew42ZCmxcIHjMIqr9eF0Yw/WlDFhQl/h3bomoa8Qe5N9hRsxqUdJDzwSk2LX5XTXBnkP+5nkKV4bNK6urkZdXR327t2LwcFB7NmzR5g2OjqKf//3f8cf/vAHREZGYvv27SgtLYVcLneyRu+ZmAT+9o/VDo2MA09sBiA+bf/uUtz9ahmiwkKhkcfixcrLePbweeFzy/yvVmuRmxyP93cV43v7anDwyTuw/c2jDm8Ifu7e1bj71TLs313KgWOieaJveAJfFckX+3eXYiH7EkTk59p6+kXbPPt3lzrMa+gbRIOpz6ZN9crxqfn37SrGfa8fdmgbSbWpPn3yDjx75AsUqZXYlKNCWEgQ9u5cLww4ZctjsU6twPaVaodyLFSlYcvLnzps68ATmzmIQw4sL6xyJ16slzn45B148Hfi7f47XjqIY09twff21ThMf2HrGnzr7QoAN+Lesoz9/+dC7FoeLeLKs4MtL8R0yDuPbXJ58DkpJhIj45M267Hko+fuXY1Xq6fuUrb04b5pcw4dz8f+xzZJDo7NJIbIf4xNAN+wqp8s8WYZJ7BwVh/a9+1HxydFxxf+8tgmh+1fc9JXiJth+DjGpPamY9LZdcmBY99gP5M8xWtfM1RUVGDx4sX47ne/iyeffBLFxcXCtIaGBqSnpyMuLg7h4eHIz8/HiRMnvFWUaTl7EZ7UtDKtHlFhoahuMeHtUzpUt5iEz1enyR3mP9ZoxL/dmYeLxl7R9V0y9iIqLBRlWj43i2i+OFQvnV+IiPydsxyWkpJi+3l7N063dzvMHx0eimONBtHPpdZ/otWElx+4HTtXZSElLgpJMa4/y7ayuUvyBURE9qT6AbBMd+sAACAASURBVPvPt+HTS+0w9A1KLrM2Q+603f/oGo3oNWH9ckf7Zdakyx3+Pxdi19A3iHfrdHjyf4/j3Tqd6HG1kHohZlm93q3nWleI5B3rYwtM5aGj08xn2bYUZy89I//n6vlzp03/qUQMHxKJI2/0FbwRk86uS/IN9jPJU7x2p3F3dzfa29vx0ksv4cqVK/jOd76Djz/+GEFBQbh27RpiY2/8/CI6OhrXrl2bdp3nzp3zeDllMhnKJS6clu5rwttz7VXojDZv17X+PH+RDHtqbOevbDJi2/JMvHe6SXR9lpe4VOiMuCdHPuNn7tXW1s5oudngT2XLz8+f1e15I3Zvhj+di5sVqPuyYsUKyZc6VeiM2LFSjbq6Oodp8zl2Z/tcB2pseYMnjsVciF1/jQlflCsnJ8dpDrsnZ6lQLplMhtaeMZxpMzvMq5HHokrXKfq51PqPNhpwR1oMWltb3SqzTCbDsSbHbQFAWX0HVsdNwmx2LONciF0Lf41hT7iZfQsLC8NCVRoqm7twrKkT6zOT8OUlyZJ9hOrmThzWjuPzjm588HARulobAdj2KzTyWNGYB6ba/fmLZDh1RXq6fT/D+jPr//tT7ALun4fEtCx8/XcVDnfiWh9Xi/T0dCd5x4B7l6bgz19cEc5hYUYirupbMTo6ajOvs/6f9bGVyk/281XoDNiS7piTnG3H2XnzNX/IE7MZu1I5d+r8Sb+0znL+pq8Pb/Ttp4th6zhaunSp0/VuXZqMCxcuON038X3ybEy6s0+zxZcx7A+xO9N+5lzlDznNl1zZf2dx67VB4/j4eGRlZSE8PBxZWVmIiIiA2WxGYmIiYmJi0N/fL8zb399vM4gsZdmyZYiIiPB4WUt6pn6WYS89IQaRYaGi04rUCrxYeVn086MNjhdoYaYCNS0m0bd6A1MvcXnzZCO+U7gYcXFxM0o2tbW1PmkcusKfyzYbvBW7MzGXzkWg70uhWiH8BNJakVqB4OBgv9g3r8Xu78+7vchsHo9Ajy1PCtRj4enY9dfj4MtyOcthAwMDNuVqGGnH4NiEw7xaUx8evz3HYT1aUx+euH2x5PoViql/7lpvGhdt15XmJEOtzoRa7fhIi9nmrbzrrzHsCTe7b2I/196xUo07b00VjRdLu/1sRw9q2nuxzWrbln6F1tSHHflZotvLS5Wh9ooZedP0C6Q+s/6/P8Uu4H5d/W6dTvRuOPvjalGoviqZF547ehH/evAsgOl/ci/V/7M+tlL5yX6+IrVSMidJbcffzpvFXM4TUpzl3A3mqS8yHD7PVkKtVgvnz1l9aN+3l45hxzhytt6oqKgZnStvxKQ7++Rt8ymGncVuIPQzZ8N8igcxnth/rz2eIj8/H8eOHcPk5CQMBgMGBwcRHz/1Ztzs7Gw0Nzejp6cHIyMjOHnyJFasWOGtokxL6q29y5LjsTItUXRaiUaFgdExh89LNSqcaDU5fL4+S4Gf/vW05Fu9lyjiMDA6hlLN3HojMhFJK80Rzz0lzANEFAA2SeSwUo0K7e3ttp+nJCAvJcFh/v6RMay//nZ4+8+lcuSGLMcXW7mqMEO8XSf2siyaP8R+rv32KR3yJfoBSxRxwl3A5XY/v7b0K443m5y2+1+r1opeE5aXO1rfZWy9Tfv/B3rsOruTU8ymxckS17BKGDC2cPaTe6n+n/W57R8ZwwaR/GR/DkpzpNttUtsJ9PM2X6xMk4mevxWLbL/wkT7PjrEhFcNiceSsnp0pb8SkO/tEs4P9TPIUr91pXFJSghMnTuD+++/H5OQk/vEf/xF/+ctfMDAwgG9+85v40Y9+hEcffRSTk5PYunUrlErfVZzO3tr7iyMX8Ny9q3HJ2IvTbVN3BCxRxKFSZ8T+3aUo0+pRoTOiSK1AqWbqDan7H9uEsno9KnQGFKmV2JCtgLFvCL++rwAHLrZh784NqGvrwrEGI9apk7AsOQGNpqt8CR7RPGPuH8JHu0tRbpVHSjQqmPuHsIi5gIj8XGp8tGRbyH64RxkbCXP/MN57eAMqdJ2oaTGhOFuJ/LREvFOnw7sPb0DdFTPKtXqhrfX+2RZ8+O0SHGkwoLLJiMJMBYqyFLjceRUZspgZlfmqvtXll2XR/CE1cPl6tVaIl7J6PZanJGCJIg6P7K0U5imxGxSx9CvKtXp8cqkd71yP7aMNBmzIVmLFIhneqGnAWzuKkJUYaxOP69QKLE9JQExEKN7cUYgj2qllVi5KxBs1WvzuoULkpyXitzUN2Ltz/ZyI3RKNUvROTvvjapEaF+XQ1yrNUeG3JxpE5y+v14u+YM++/7cmQ44N2UpUNBqxe40GeakyrMmQIyosFO8+vAGVVnlrxSIZ9tRo8cb2QpTmqJy+6MtZP5P83xs1WtGxgDdqGvAfX10pzPdWbSP27SpGRaPRpr56u7YRP96ca7NOqRgWiyNn9exMWcdkWX0HSnOSbzom3dknmh3sZ5KneG3QGAD+4R/+QXJaaWkpSksd367tK1Jv7V2RmoA7XjqINelyaOSxePNkI6pbTNi7cz1S46Oxc1U2dq7KtlkmNS4KO1dlYeeqqZ+k7T2lw7ferhDW8eg7VQCAZ+/Nx+2ZiuvbEf95GhHNXafbe7DrnSr0/fxB7FipxtDoOGJ/8g7e2L4Ot6Um+rp4RETTkmoLifm8oxu/PHoRP9q0DLvXaHDwcgcWLgjDrgIN3qhpwJ+/uGLT1nr7W0X46V/rsCA0FPmLZDjWaMRzR847vLXeHaOjo5JtPpq/pAYuVyySCfGyZUkK/vvoeRxv7kRafBTS4qNQrFFhc06yw3LK2Eg8uEKNB1dM/cz7FkUctq+88ZNv68EmAKLx2Gjqw+DoOJ6vuARg6hnJxxqN+Jc78/DvdssHMstdj9Z3ek9316N9XwsAshPFv0iSGnwGbPt/n15qR87PP7Dp8z21rwZ7d67HtrxMLFHE4YGlSuGRis981fWf+zLnBK7lKTLc8dJBPFqgwco0GU61mvHUvhq8/a0im/myE2OQ8/MP8O0CjVBf7XqnCnt3rhddr1gMS3GnnnWVJSZXx01Crc70yDrd2SfyPvYzyVO8Omjsbwx9gzis1aNca0CJRolijWrab9QsDZnqFpPwU6Xc5HhsylGirXcAhy53oFJnRKFagU2Lk0W/Tbvr1lTsWKnG26d0wjp2rFRjqTLeYV5Plp2I/Ntdt6ag6en78OEXV3CkwYCN2Uo0PX0fIkO99uQgIiKPkmqfREc73sVSmqNCWnw0Trd3Y//5K1ifpURWYix+efQi1LIY/NtdK/DI3kq09Q4IP6Es0aiEO/TuWJKMf7srb9r2D9tM5C5XBi6HxsaxOCkOg6Pj+PHmXJxqNeNoowEHL7fPOMY6rw2ie3AUl4y9MF0bQmp8NJanJEAZG4nclAR83tEtlMnyKAT7nxsHOk/dievu4LN9nijKUmJTjgqH6vU2fT7r5S9fviz6bMj23gHhDsv1WUqUaFRIseoTWm/r/tvSsTpdjrjIcLf2j3xj82IVjj21Bafbu1F3xYy8RTIcK9iCnCTb9zFZ4m9PjRZ7aqY+89RjSFwdc5iLWJ/PHPuZ5CnzZtDY8QUX9U5fjmBhaci0dPdjcHQcESFByEyMxdDYJO5+5RAK0uXIXyRDhW7q7pe/Pr4ZExMT+KypE9lJC3G2vRtVTZ2469ZU/MudeTD3D0MWHYHjTZ344UensC4zCXmpMsREhKK62YSW7n5szFZicdJCyKIjbqrsROTfRsYn8bVXy4Q8Uq7V45myc/jLY5t8XTQiIoGhbxDVzZ1IS4gR2jUlGiWK1Arc/WqZQ/vkg2+XIEqRhh99dAorUhOETt7EJPC3f6xGdHgoNPJYvFh1Cf0jY3ju3tW446WDeOWBtTj3D1/DlZ4BJEZHCG0cd+7QY5uJZkJs4HJzTrLQFu8dHMEP/lSLt0/pcPDJO/Dzg2cRFDT1ojRLjL2+vRAXDb0oVCchMiwEdVe6UabV49trNGgyX0NbzwBUCxdgqSoesgXhCA8NxtXBUZiuDaG1ZwBn2swomATkUREIDrpRpkOX2nBMZ5rTjzXwxJ247gw+W/KEJRf96thF/Puhczj45B1o7OrDEa0BmYkxDstnZWU5rKd3cBTbfnfE5iWKucnx+NOjpXih8hJyk+OxLjMJJ1q68PjtOai9YsYfPm/Buswk5KYkoLX7GorUSiHWyL9Y6i37LyPsf/GijI28/niGjhuPkchJlrxeDX2DaDFfw+DYBCJDg5EuixGdt613AHe/cggPrsjEN1dkoqbFhLtfOYT9j226qYHjG4OxepT0wOlgrKtl9fQAr9R1yvrcNexnkqfMm0FjsRdcWF6OsC0v02mSG5uYxAVDr/DtXnpCDC7qe7BvVzGONRpQpetEoToJP9q0DEOjY/jG64fx3L2rsWtvpUOn5cNHS3Dva+UOn//mgbVQxkaie3AEr9dosXJRIr76pUVIjYuatuyucjeR85s9Iu/6vL1bNI+cbe+2uUOFiGg6M62zp1vO0mmzb9ec7ehGz+CoaPukrF6PhMhwPH57Doqf/wSyqHB8/PhmHG7Q47l7V+OisRdn2szYkZ+FWxRxmJyYQNPT96G8Xo8f/Kl26k6qGb48x1NtJpp/rAcuDX2DONpoQIbsxhcl69RJ+N76WxAfGY61mUlCDP/rnVN3yB9v6sSbJxvxTNk5vL69EI3mPnyncDHaegagNfXhTJsZy1NliFsQjtCEYHT3DCMiNMRmQOrV6hsDjpYyrYwZw0MPrPXloQkYrg4+Vzd32uSix29fjPVZCnx8sQ2Vuk7cnpmEVYsSERE6NWh3RKvH0UYDCtLlKFKHIDQkCAMjY/i/ZV9gbWaSaM75+GIb7l+egTX//RfhnN7zmuOXbPt2FeN/zzSjrs18U/0tV+oA9u3c52qdYugbxN2vHEJU2PUvRSsv49nD50UHOLv6BzEwMobzxl5U6aZyizxmAbr6B5EYbTvvRX0P/ry7FOX1erxb14RCtQJ/3l2KS4Yeh0FjV8+v45erWskvV10tqze+sP2sqVO0zXC8uRP3Lkuf0TqtyzvXrwX2M8lT5s2gsbM3827MVkomubGJqTuK7RtzH+0uxVet7q6xfP7ewxsQHR6Ki8ZehwomOjwUFY1G0Yqn3tSHjy+24fenmqY+rNbixapLOPLdLU7L7q07b3inDpH33aqMw717yh3yyIffLvFxyYgokMy0znZlucNavWi7RiOPxakrXaLrrW7uxODoOP75kzN47+ENKPyfj3HB0IMlijibgWcATttUM3lBsCfaTDS/SX1RAkzF6wtb1+B7+2psPntjeyHerdNBI4/F26d0ON7Uibo2M4qzVaJ3Kb6zcwNCg4NR3WySHnC8LR2y6AXo7+/3/k7PM2kJMTbn9psr1Ljv9cMOudA+N1kG117YugYJUREICgLOtJlFt1Hb2oWsxFisSZcjKAgo13aInutPL3fgtycaUN1imnF/y5Vczr7dzLhap5TV3xhctjzeZGp5vfBsc4v+kQl8wyrerL8sSrSr8pYo40Trx492274byp3za11Wi7MdPTdVVnfW6aoMWYxoDn59e+GM1mcxX64F9jPJU+bNA01KNOLPE7p/eYbTbxDPtJkdphWkyyUTY4WuE1uWpIg2ILbckoJjjeIVz7FGI4IQ5LC+k61dkmV39mIHe8720RPzE5H7jjQYRK+zoxJ5gojIXnR09IzrbFeWK9caoJHHOrRrtKY+LJd4iW9eqgxaUx/OdvTgvKEXa9LluNIzgLPt3ZKdyqiwUIfPy7R6p+UX44k2E81vZfXiX5QAU3F5pr0ba9LlNp9dMvZiy5IUaE19AIDTbWbceWsKKnXiN4tUNXViYGQMbb3iA8K1rV24fH1dc4WhbxDv1unw5P8ex7t1Ohj6Bn1WFutctDZDLnmupXLTmfZuaE1XERESggKrWLCWlyrDyRYTNPJYaOSxqNJ1is5X29oFjfzG83Fn0t9yJZezbzczheokic8VNn8faRCvrw6LDDqXS50LkTrP2WCs7XZcP7/eKKs763TV5xJthnPt3TNe51SZ5se1wH4mecq8GTS2PJzeWm5yPFalJTr9BlF/1bFBk79IhkqdUXSZmhYTJgHJjpRUw6IgXS40NK394UyzZNndebC+s330xPxE5D6pPFIh8TkRkb2IiIgZ19muLFeiUYoOEB9vNuEWRZxo+2SJIk6406q6uRMaeSxS4qJQ1SQ+aFKhM9oMmlh/7i5PtJlo/uodHMFhrV70ixKL021mh3g93WbGEuWNuM9LlcE8MIITrSaxVaCmxYS23gGsyRAfkMpLleHoTQy2+BvLnX0PvVWBV47X46G3KrDl5U99NnBsnYucnWup3HS6zYzOa8MYGhvHl1SOLye05MG4yHBoTX3QmvqwTmLw0fIlmzV3+1uu5HL27WZmQ5ZS9Pyuz7IdNHbWx7dXJdX+b3L83NW+gjvn1xtldWedrvpMos0g1ZZw1Xy5FtjPJE+ZN4PGlpcj7N25Ho+vzcHenetx4InNiIsMd3pXimqh408Uaq+YHb5dtNiYrYTWdFW0I6Xt7EOhWiFa8azLTLL5KYt1GaTK7s7PJ9y984Z36hB5n1QeKZL4nIjI3vDw8IzrbFeWK9ao0D8yJtqu+Y9DZ/H+rmK8dP8aPLY2B7++rwDP3bsaj+ytFObJS5VhEpOIiwzHukzxQZMitUL0i/OZ5EJPtJlo/jrRYsLy64N4091Jb21DthI/2V8H4MaA4Z5qLYrU4tfY+iwFRscnkCmLkRxwzEyM8cAe+Qd/u7PPOvc5O9dSuSkvVYaUuEhMYhLbfncU+3YV48X712D3Go2QB//j0FnhC7T+kTGslxh8tP6STSifm/0tV3I5+3Yzc6LFhOfuXY1f31dgc35Ptto+nqlI4vwWZTnWY+60/12d153z642yurNOV23IEt+nm/0SeL5cC+xnkqfMm2caA9IvR7DclWL/vJyN2UqMTUw6TKtpMeGfvnwbcpPjhbd5ak196B8Zw4YsBYqyFKhtNeH17YU419GNKl0n8tMSkZUYi57BEbywdQ3OdnSjrq0b6zKTkJcqQ2xEmGQZnJXdVc720RPzE5H7NuWIX2elmrnVaCEi7+nv70fx4owZ1dmu1PXK2Egc+e4WnO3ovt6u6UGVzohVaYlYlZaI7oERqBZG4kebluHpv9bhKbtnvRZrVFiiiMNP9p/CSw+sFd1eiUaFZw+ftynbzeTCm20z0fz1h89bsC0v0+aLEvt4XZ6SgKesBvksv1ysaDRiz4O3Y0lSHLb97ijaegfwi3tXia4jRx6LyLBQ9A6N4v1dxTh4uQO1rV3IS5VhiSIO/3HoLN7cUTSr++5N/vascevcd7zZhH+9c4VbuWl5SgLGJyexqyAHX7klFS9XXcZ3CpcgNzkeRxuMMPQN4tdb1+C14/Wo+t5XkCGLwccX27DnwXWou2LGidYuFKqTsCFLicfe+8xh/e72t1zJ5ezbzcyn9Xq8crwejxZosDJNhlOtZjy1rwaPr83B1uUZwnwJkWF4Yesa6PsG0TM4gvjIcKhiI5EQGeawTkv7334cQazOc7WvYDm/9usUO7+Wsn6hn3oU5qq0RHxJFS9e1sXJ4mXNSRZd55n2bpxuMyMvVYblKQmi63RVsUYpuu8bbjJm58u1wH4mecq8GjSWooyNxP7HNqGsvgMVOiOK1AqU5iQLd6VMTdOjQmcQpqXGRWH/7lIcqtejUmfEE7cvxqYcFUKDgNFJIDwkBHWtXbhFGYevfSkNI2PjOHCpHa09/fhWfjZ6h0YQFhKMHHksUuIiMT4+gT8+UowqnRGVTZ0o1iixclEiXqvWYutt6TjZ2oVjjQZszFahNEeF4KCpZxxZv/EzLEw6KVvuvDnSYEB5vR4lOSpszFZK3nnj7vxE5D5ZRDA+2l2Kcq1eyD0lGhVkEfPmRyBE5AEzrbOnW8767eIbs5VYmyFHZGgQHspXI0e+EHtq6pGZEIsidRLq2sz42ZbluPvWRTjSMDX/mgw5/nL+ChKjF+B/7ivAO3U6vPvwBtRdMU/Nc72tc/BSu0MuLNWo3HoJ3nx4Ezp5jqFvEGX1ehxp0KMgXY6iLCWSoiNQolHikb2VeGN7Icz9Q/jw0RIcbTCgUmfExmwVVqUlYnhsHG9sX4cqXSduz0zCxmwlFi4IxY58NSp1nQhCED58tASNpqtYFB+N/bs34ZjOgMNaA27PlOP2jCSEBAfhleNa3JacgI0aJR5Yno7bUhJwVGuAqX8Ib+4omlPxW6JR4pXj9Y6f++jOPmVsJPbvLkXZ9ZzTPTCE/btLUaEzolxruB4TCsREBGP/Y5twtMGAIw3XP1crEBIM/OZ4PZap4nH3ram4e2kK+obHYR4YQVJ0BOIWhCE2PBRPrb8F5fV67KnRolCtQGJUBG5VLsQ3ctOg67qGz5o68eL9a3CitQtHtAasUyf9/+y9e1xc1dX//+F+h2EY5sItMzCEGIMhEAIGEm7BaK1NqzaaxkSjsaY+8ftrtb+ntk/t059WW7XNt0/rY6NJNTWtiVrTeokaEQgJIJBAQoiaZAaG21wZBoaBGe78/iBzMpdzYAZmYAb2+/XK65U57LPPOuesvfda6+y9NtYIolHf0YOcFbEO64AjYwDx7ebGt26Kw/YMIa5o9LjQrUNGAhtlmaUYGh2zKhcbHoLRiSm09Q6ioVOLfBEPK9jhiA23f77xrDDaOALdmGcuWzHL+GiOZ5RfU96oc6WA9v2aZe03jcLPxwf8yBBmWRliHvFRobR16odHEeTvC8EMdQKAXG+kZM0TcVGyUmBXZ9z1a1e2qlHdpkF+MhdFKTzE2ZRzluXSFoifSXAVPlNTU1OLLcRsjIyM4PLly1izZg2CgoJcXr85z1ZowI0vaMaxcdrljO3t7RAKhZDrjbjzULndl5uTe4txp8UOp+bjr96Tg59+2IhX7t6Ah9+ptbvWgW3ZeLNBglfuyQGmgP0n6vF2UzvK9pXiyQ/O0da36ZVTVsf+vTsfQm60y5+PK2hsbERWVtZii7HguFt358JSehfefi/y/iHcebgC92UIsSGJg4ZOLd652I6Te4udCpa4A3frrt9TR50+Z+IPu1wuBxPerluuxNuehbt011Ofg7vkst1dHJi2NQ5sy0bpwTKkC1g4sacQqS/82+r4DzKF+J/vZuNPZ6/g86tKyta5LU2A/yxeg9BA189XYJKVzo7z1PcIuL/f9eR7ny/O3BuTvrx6Tw5WsMMp+77midux7591CA3wx6H7bsXvylvwdlM7ACAniYNCMQ9337ICA8NjtLb6wXtzse+fdXj1nhyEB/kjgRWK4bEJ/OzjJqoec9mZUqh4w3sz6y4AWlmdaaMLgdmPs/XHPt9XCm54MON5euMw9v/rHFq1g9R5v/9OFgSRIfjem6et7u/s/q14/P16u3s+sacQd795muozAeDCU3fi+IV2nJaqqVQVi/V8vEHfXIUjfa7ZVqfz+S1tdWd0nDGO8GiJXeDUfH1bXZ3P9Z2S1cn7dySe4uj9m+vMTuQgK4GNxm4dznVpZ20Xy0GHndFdT/QzF5LloA8z4Yr7JzONYZ1nyzKnVFWr2m7JVG9vL4RCIcqvKWlzc1VIVchO5Fgt4ajr0KJZ0Yc1fBbqOrW017qq0aNVO4haWQ8CfH3g6+ODR3LEjLv5fqXqx3/fdgtOXVWgrmO6ztrOXo8NGhMIBHvKr++I3KK8aHW8QqrCrvUpiyQVgUAgMOcgvarRIyeJg/pOLb5s78Fv7sjALz+9SB1/u6kdt6XF4Zdb1mA1n4VKiQo/LrgJBSk8twSMZ5KVzo4jECz1JXcFh7LXmxV9mJiawqnHtuCysp+ywXNXcFDVqrYK9NZ3alHfqYWYE4mo4ABa/bsg1yE0wB/Nij4ksEIxODKOi4o+q3rMZZe6rnrazD5LP87SHzt1RYFd65MZzzv5jRxvN7UjdwUHPj7AGgELIxMTONOmpnRFzIlAkL8fLir6aPWiuk2D7EQO1Wf6+ADVsh68WPGVXdmlrhfeQMX1/sKyr6jr0KJSqsYDFrrizDjEGEeQqOz0z+wrANa6ausrnGaQk+76TskqoS/LdH1bOedz/+Y6W5T9eONG5ivSLhyE+JkEV7Fk5qarDSa8c0GGfe/V4Z0LMtrdeJnKzGUHzZl2o/zvrbfgwewUBPv74cHsFJTtK0W7bhB33BSHYH9f5K6w30X0olyH7MQYiGLC0dk/hGB/P2zPEOKSoo/2Oo3dOiREhWJnVjLK9pXirpsTMDLh8ZPGCQSCBUz9CNNxAoFAcAVM9pC8fwinrshxplXNaBtdlOsg5kQAAM60qXGrMJayc8zHq2Ua+Pr6YnuGEH/5fi62ZwjnFRyylVeuN+LDy53Y914d6tp7ls1O6ATXUClVIz4qFGX7SrEzKxnB/n7YmZWMXGEspqaAiKAAlKwUoK5jOvCxdVUcmuU62rrOdWoxNklvf5vbysDwKKKCA3EzP4qxnkqJCoPDY7P6Mt6MOde4K/qE+WJrZ+Wu4OCBLBGUeiPOtqnx2Ltf4q1zrZDrjVAbTPjk625UtarQbxq10pucJA7WCKIR5O+Hmidup44/mpuKEH8/Wp+vpl2DrAQ2pR9iTgSjXlRIVNAZR+Z1r474yARmvlL12/UVZftKcVll7aM7Mw7Vtjtu/88Uc7DkgrwPZftK7WIQF7rtdcssq1nvzXpKJ6uj13eqTsb7t36GZGyfH8TPJLiKJTHT2HaJxaE6id0SC6YyFT+6bU55tvKTuThcL7U7vknEw+E6CZ4rawEAHK6XoiSVj8P3bUTZVQXOdWmxMysZz92xDg8dq4FcbwQwvetySkwE7n/rDFqU/YiPCsWjt67ErUIOrWzr4qNxuF6K+k4t0gUsHNu1Gf9z5muEBvqTPH4EgpdQkMKn7UcKU8gGBQQCwT0w2UOf/nALOvqG0No7YejBFAAAIABJREFUCMPwKKP9kRHPxtHzbdP/j2PjFycvwDg2jnd3b8ZDx2oBTO/MPTExAV/f+c9NYJL3wLZsHKqToEXZh90MM2aW2k7oBMdRG0yo7+hBYnQ4WhR9qG3voXJdm3OU0qWUeHd3AX7y73MoFPPx08LV2JklgmZwGPGRobTj9boENm1gEAAyE9jISuTgK1Uf3m5qQ3c/D08WrsanVxSU/W8mO4mDsmtKxIaH4JNv5Fa+DGH+WOY8v/eWJMr+io8KxZEdebii0aNZrgMvMhgBvr749IqC8uH+ev9GtPcNoVmuw5OFq3Gfha923zoRPmzpQmZiDPYcq4HOOIojO/JwQa5DU3cvrc+XJ+TibJsGmQlsfHZFgf/v9rW4pOij1a+1cdH4f/7VgOe/lYnnyy4x5n6d6b5n85EJM/PwhlRsf6uKtq+wxJl4QkEKH4fqaOx/sf1GbHki+phDvohr9Xtvjhj3/u2GnIfrpUgXsPDPhwrszrXM09ws11F6apunGZg55mHJ7avo6zSMjNqdW5DMx2G6+7fxfwpS6J9pAc1zIthD/EyCq1gSQWNHllgwlflCopzTDppFDOcUinl48FiNVdmnS9Lxnb/a5wI6siOPyguYJ+JaLdU4siMPe9+pxYFt2bTXKU2Lw+PvN1D3cVqqwiVFPw7VSYkxQCB4CfnJXNr2vdHGECQQCARXQWcPhQX6wzA8ZpV/s2xfKW3/lMaNoj5Ym/8PTK+AupnPgnFsHEViPoaGhsBisdwir2WajLoOLZ67Y92y2Amd4BjmQNmBbdnYc6zGLmD2yaMl+Oirblq9KpdM2+KH66U4u38rnjjRgBZlP2N7EHMiUSPT4AeZQrs8xaVpcbjbIs+t2UY/vmuT3b4kQnY45ROY/QOzL3NL2PLJPekO6AKnZ/dvpT4+WX48MAfazO/g6ZJ03HU9n2vuCo7VUv0jO/Lw5AfnEBboj5GJSUpP6D5GWPp8+clcHKj6Go/kiJHGjcJDx2oY/b00bhT2n2hA6co4TE4Be47XMua+pYOk7pk/57t6aZ9hY3cvVnIjqWPOxBPyRAz2v9De/i9Opa+3SGwd+DvHIOf5zl6IOZFWx7MSOYw5hW2ZKeZhSWZCDG2848NHiu3qdNT/ceY5EewhfibBVSyJoPFMSxfMA+JsZZzNs1Xf3oMD27JxVaPHRbkOGfHsaeepowcPbxDjjYbprzq5KziMeYnbdYN4b/dmsEKDUN+hxbmuXrtzzDs4m6+TJ+JiZWwkqts0VE5B4MYSuPrrOZOJMUAgeD617RrafqS2XYOkaNFii0cgEJYgdPbQ0yVrUC1TW9kqZvtD3j+EmnYNNiXzkJkQgyMNUrxy9wYUivl4+uMmqnxVqwo/LVqNsEB/fH5VgZ0ZSW6TF7C2ex46VoMPHimCpGfAI/KlEhaX01IVwgL9Ge3vapkG/Sb72W/ADb3y8YFVTlpLe7xZ0YesBDZSOJF46FgN7lgVh+fuWIeS1OmUFnmiWGQmxKCRIYjT2TeEDx8pxEdfybE2LpoKHJr/bpk3vFKiQvZ68vFjPtAFTu8/ehbVT9w+40cp271lLNNIWPpqD2SJ0CzXzerzfby3CKt5LJzr1OLNHXkI8vWx8vf+/XAhLsr7UN/RQ9mDZr0wp7R4o4E59y0djvjIhJmpaqNPhVDVqsKOzBu2ujN5u2tkjtv/X6n68dHeYpyWqlAt0yBfxEWhmI+vVP1IsNjMrKqVXs7TrWrcn2ldZ3WbmlZPa2QaO72oZpJVpsH2dTfq/YIxT7ESD20QWx131P8hftL8IM+P4CqWRE7jIoYlCpbLQWYr42yerc+vKVF6sAxHz7fBNDaBo+fbUHqwDJ9fUyIrgU2VmylPVX1HD1qU/Sg9WIbQQH9kXj/P8hy53mh1HYXeiFdrrqJGpqFyBwLTy0WlWgP1m+T6IRA8n9NSFW0/cprByCcQCIT5QmcPxUWEoMFi4xrghv2hGDDhtpVx+N/qq3jkeC2UAyYcPd+GP1Z9jajgAKp8nogL7eAwVjx3AgF+vjCZXJM3k8l+s7R75HojJD0DHpMvlbC4VErVM9rflRIV8pPpZ1qZ9cr2fEt7fENiDBR6E0oPlkGuNyIjno0WZR9qZD24L2MFbuaxcE0zgC8kStprnG5V4yYuCxuSONS4b5muwjJveFEqHyMj88tpu9yhC5zK9UaUX1Oitr2H9pyLch2yEthWOiDVGrA23t5XMx+fSecaOrUYm5jCM59exIGqb1DX3gOdcZTKmy3XG/HEiQZEBQdY2YOWKS0aLXLTVsscsxMd8ZEJM8M0qzWP5rij8YSqVsft/3+1dEL43Al09xuxfa0Q3f1GCJ87gX+1dFmVy06kT5OzIcn+uDO5gpl8lQqbOho66duSWccdqdP2/omfND/I8yO4iiURNDYvB7HEdjmII2WcIe/6tP76Ti3+0SSjZvzmi7hQWWwwINUakJkQQ1tHRjwbp64qkC5gISzQH2JOJNIFLCujxIz5OlEhgZBqDVbOku0SUYAYAwSCN7A5ebr/se1HyJJqAoHgLujsoWZFH9Uf2ZIUHYbfn/4a9Z1aq77K1g7JE3Gx+X8/R7qAhWIxH62trW6T19buIakoCJYUiXm0tjT191Q+VsZGzqhXTOfXd2oxMjGJU1cV1Dlr46IRGxaMc11aTMEH/cNj+FdLJ9bG0V9/ozAWFVIlQgL8rGx3M+a2ZdbroaEhZx8BwQKmwGlSdNiMH6Uau3VWPlxdhxaruFF2vpr5+NQUGHVubVw0fld+Gf9oksE4No40bhQ0Q8PITrSuPzo0CJeUfVZ6YU5pYV7FCgD5Isf6O1f7v8uRIqZnKJ67r11wPaesrf1fSPNezGV/+elF3PbaF/jlpxeny9rorjkVga2ceaJYuzqd+ZjAKKtNHQUMeXLp8jRvTqav01YvHb02gR7iZxJcxZJIT+HIchBnlow4QglDfqFiMR8pMRHgRYRQywBuSxPQls0VTnfi5uVHq7iR15efqLFGwGLMbWUcG0fJSgEuKfrwfzavQhIrDPcfPWtVjnQGBILnU5DCo23nmxlmQBEIBMJ8YbKHxicmGfujFysuW9WRLmChJFWAiwodfpS3EgUpfPy9sRVHdmxEsZiPeFYYXLXeiU7ePBEXTd29+GFuKklFQbCjUMzHb8svUwE+uhyjseHBOLm3GCe/kaOxqxebU3gQscMpe7quQ4uX78qiPb8klY9mRR/25qZiozAW4YH+qJCqcGJPIfa9V4crmgH844F88MKDGXKB8hHk70v9pvMPYsKCKL3udvcDW+Iw5Zpdcz3AxvQOwoMCUCzm4S+1LKs0Jcd3bUJH3xBW8W7olzl9SVxkCGP+2YtyHXatT0YaNwq/K2/B0yXpYIUEWZU31y/TDeJsmwZ5oljki7i47y1rP6/YwclBrvZ/lyNhgb74155CnG3ToKZdgzwhF5uSuQgLnPvcO8Y8xTTv1dGcxpHBgXj1nhw0K/qoGMTauGhEBgfa1elM/mVHr+9ouenr0/s/ttd3pk6CPcTPJLgKn6mpqanFFmI2RkZGcPnyZaxZswZBQUGLKktjYyOysrIAAPL+IVRY5BcyO0pyvRGXFH1QDhghiAxFRjwbvj6wG7BD/P3Q0NWL95s7qGO+PoBMN4SJiUkkRIehVtaD01IVNoq4WCNgobt/CBuSOFaDvdpgQlWrGhUSJYpTBR5pDFg+t+WEJ+mumaX0LpbCvcj7h3C6VY2zbRpsSuaiMIWHeNbib3rjbt31e+qo0+dM/GGXy+VgYinolqvwtmfhLt311OfgSrnk/UOobFWjuk2D/GQuilJ4iAjyhX5k0i6fYmSQH6JCghdELlfiqXIB7u93Pfne54vtvakNJjR0apHACsNlZT9qZRragJluaBjXtAY0dfViS1ocmrp7USVVoyiVjyIxD5NTsPtg0dZrgN40CiE7HHGRIfD39UVDVy/KrymxJ0dM1fGDLBFSOBGokqpR1apCnoiH4lS+1QZmZht+poCeN7w3s+4C8EhZZ3rOs70Dy78XJHNRtFLAeG7pSj5GJ6bs6gv088HVHgPOSNUQxoRTH75qZT14JFeM8129OC1VY0MSB/nJXMSGBSI6dLp/leuNqJCoUC1TI59Gh1yNN+ibq3C0z1UbTOjoG4JpdBwhgf5YER02b1/bkbbvbFnbGMQtcdGMuuJM/MDR6ztzT3K9Eaelqhv+j5her52p08xy0GFHdddT/cyFZDnow0y44v5J0NhJPFnpZDIZRCLPTGruyc/NnXiS7ppZSu9iKd3L5OQkfH09J2MQCRovHd2aL972LEjQ2DMgcjkPCRrPHXJvi4unB41dxZUrV7Bq1arFFsOteIO+uQpn+1xP9rXnylK8p+Wgw87qrqf5mQvJctCHmXDF/S+J9BTLDbXBhNNSFSqlahSJeSgU88GLCIFOp1tynT6BsNS50Z5VKBLzqfZMIBAICwGTTUEgLFdImyAw4a780kTnvIOl6Gt7+j2RtjE/iJ9JcAUkaOxlqA0mbH3tCyo3zaE6CdIFLJx6bAtiYug33CMQlipsNv2GI96CuT1Pb4QZgT+dvYLfll/Gqce2kAGdQCC4nZlsCtIHEbyJsDDXLLclbYKw0BCdIywmnuxLET9pfpif34YkDrIS2CiXqMjzI8wJEjT2MGb7mnZaqrJKZg4ALcp+nPxaDn5EMAL0RofyXHnaVztPk4fg2VjpSz+8Vl/qO3pwYFs2rmj0aJbrsDMrGau4UWjo1OKumxMXWzwCgbCA2I6D+ck8NHZp8ck3ijmNi/L+IZRLVKiRaZAn4qIklW+Xx47JpqhqVWN7htAVt0UguB21wYSmQX/88b06u7aiGxrBtZ4BVLWqIWSHoTiVj8mp6fE3hROJi3IdzrZpqPPqO3rm1CaIHUuwxBl9mMm3S2KFIj0uesZcs87onav0lOi792M1A9VFvpQzeqE2mNCi6ENXvxGJDHruCX6SN+t6s1yHE3sKcbZNjVpZD/JEsXi6ZA0uKfpQmuYd90DwDBwKGj/33HN45plnrI797Gc/w4svvugWoZYidB2Orw9QIbF2EO88VG71pbkklY/D923E2TY1RscnUN+ppa2/vqMHprEJ/OKTCzj5aMmMgWNP+6LtafIQPJulpC+J0eHYc6zGblfbN3fkLaJUBAJhoWHq1w5sy8ahOgn1+90HC3Dg9NezOi7y/iHcebiCqu9wvRTpAhZO7i1GPCsMaoMJst5BVEhUtOdXSlQkaEzweNQGE/TDY9j+typam2B8cgoff9WNpu5erI1nIzY8BLLeQfzy04s4+P1c3P3mabvzmMbfcokSSaxQiGIi7NrdUrJLCPPHWX2olKpp62no1KJZ4YufftRIey7TdU4+WoIzrdObL05vrMdDdEgAJqfgEj0l+s7MYgcYHb2+/TuUzvgOHanXGb3oGTShVWvANa0BzXIdTONshAb6w9cHiA2/UXax/SRv1/U0bhS2vVFpZwt+8HDRIktG8DZmDBr/13/9F7q6unD58mVIJBLq+Pj4OAwGg9uFWyowdTiv3pODP529AjEnAuUSFfpNY1adYu4KDn737Ux856/Tjl/uCg52ZiXTXiMjno2j59vQouxHhUSFXevpywGeN7PI0+QheDYVEnp9qZSocH+m5+bkoqNF0Ud7L5eVfVgX77nLxQgEgmthGgevavTISeKgvlOLFmU/yq8pcUnRh0N1EuzMFOHPd2/ALbfcYldfOUM/WSFV4ba0OGq5J5NNUZTKd93NEQhuQG0w4f/9sBG5wlh6m0Cqwsmvu/F2Uzt1fGemCLelxeGFOzNRdlXJOP6a25wlGXFsPPlBI4xj43YBA2LHEixhtFOlKty/zt5OLRLzcKhOYnc8M4GNzIQYvFJ9lVaXmGcod+NIQyvqO7VUMPCdXZvRJNdR/qSYEwGp1oC6Di2jXEwQfadnsVMBOBPgdEZHHa3XrBeP5IiRlcBGY7cOf62X0upFn2kMj79fbxcMfvfBAqugMbOf1L8gfpK363pVq5pW/jNtauxihy+SVARvZMYtFH/0ox/hP/7jP5CQkID9+/dT/5566ikcPXp0oWT0epg6HJluEE8WrEawvx+2ZwhxQa4DAMRHhaJsXymeLFyNC9066ty6Di1WcaOQLmBZ1ZUuYCGNG0UZuNWyG1+s1QYT3rkgw7736vDOBRn0plHGL9qVDDOO3I2nyUPwbKpa6fXidCu9Hnkyte09tMdrZPTHCQSCdyHXG/HWuVY89u6XeOtcK5QDJqfG5YtyHcScCKvf2UkxKNtXilxhLH72cSP+caEDbVoDlNevdaZVhZp2DW19Cr2RsklmsikKUniuewgEghs4LVXBx2d6+S3939XwgY/VMR8fQK4fQr9pFE3dvbTn1cp6UCi21v90AQtbV8WhW2+kJmd8fkWBfe/Voa69h9ixBCsY7VQLPbEcG9YnxtD2w2JOJM51apGTxEGlRIUv2zW4INfhrXOteLNeikop/XUau3qtxo0WZT+0QyNoVuhQtq8UO7OSEezvh51ZySjbV4qL8j5cVvZBbTDZ1WU7humMI0TfGTCnAsgTxaKpW4c8USxO7CnEJUXfvOu2fQ9yvdGuzEwBTlsc0VFn623tHYTkF9+1un/JL76LVq39RMPqNvpgZnWbte3C5CfVyuhtHFfj7bpew/Ccqhfo+RGWDjPONE5ISEBCQgI+/PBDDA4OwmAwYGpqCgBgNBrBYrFmOp1wHaYO50yrGqaxCfyjSYbLqn7sXp8CADiyIw9PfnAOa+OiEezvZ3XOQ8dqcGRHHtp1g2jo1GJtXDTSuFF46FgNVSZfNG3s0n0Z3Jkpwh03xdN+0V6smUVMX9jJTCcCHRuSODhUJ6U97m3kCWNpdT9fxF0EaQgEgiuR641WKacO10txdv9Wq9k1s43L5lVElr+zkzjY+06t3bLSV+/JwZ7jtXgkR4zCFB4O0/STm1P4+Nu5Vuq32aa4qtHjokKHklQBClJ4XrHskrC8qZSqIdUa8KONaThcT28THLZpU1KtAQ/niFHX3oO1DLPUNiRxkB4XDSE7HBe6dbjlup297706HNmRh9KDZTgtVVH2e4uyj7LfbSF27PJkNjvVdmwICfDDmzvyUNfeg4tyHTLi2ZRvd8eqOIg5EViXwEaAnx+1VN+R1aeWVMvU2LNBjPveOmM3u/P47s14p6kd/7rciVOPbaH+RjeGeaIf6Sm4KxUA3XswpyGxTEc5U4DTdlasM76Uo/U+kJVMrY62lPPDR4rtzm1gSLfZ0KnFwzli6vdixwgW+/rzZaOISzs+5guJn0lwjhlnGpt57bXXsHnzZuzcuRMPPPAAHnjgAezatWvW8773ve9h165d2LVrF37+859b/e03v/kN7r77burvSzndxUZhLO3xjHg2pNe/vtV1aJEaG4mdmSJc0ejRouyHVGtAVmKM1TlyvRGlB8vACg7Ab+7IQG27BqUHy6gvjukCFoqvd2R0Xwb/0SRDFsMX7cWaWVQo5nuUPATPJk/EpdWXPBF9O/NkilPpdb9ITHSfQPB2yq9ZL3/PXcHBRZqlljONy5ariNIFLKyLZ6PheqoKS1qU/WhWTC+rB8A4cy0+MtSqfzHbFEfPt2HPBjG2ZwhJwJjgFZj1mKnt3CqMtUsxUdehhTA6HKyQIMZZ9jfxopDzx09wpKEVP8gSod80itKDZSiXqKh0MXT2O7FjCWbyk3m0+pCfPB2osR0bznX14sv2Hhw93wbT2ASOnm+jfLuMeDamMIVbBNFWfb+jq0/NrOJGobFLRzt2XOjWUbPoq1rVCAsLo5UTmB6vMhPYRN9pmCkVwHygew/mFQ+WMMUbNtL4R874Uo7Wyzwj2X5WbkEKfdDVdpXHYscIFvv686WISX6xdwS9CZ6DQxvhvffee/jiiy/AZjueO2ZkZARTU1OMaSy++uorHD582Kk6vZX0uGikC1h2X3ZtB/WHjtXgzP6t+F15C4Bpg+DPd2+gPZcVGoSXT3+F396ZidtWxqG6XYN8ERfFqQLqqyPTl8E366U49dgWVLWqUSlRoSiVv6gzi3gRIR4lD8GzGZuYxKv35KBZ0UfNyFgbF42xicnFFs1p4llhOLm3GBVSFapl19uwmI94Vthii0YgEOaJ7bJAMSeCcSm95bhcLlEiM56N0rQ4VLdpsDdHjM0pPIjY4Th+QQbT2ARtHeZUFlkJbPy1XooD27KnZxBbzFx7tfYKflKw2s6uMI6NQ0Ty2xG8iEIxH5eU/TjSYK3rOStisS6BDZ1xhNZ+NoyMoTRNgH3v1Vmdl5UYgy0rBSj8388BAPWdWvy9sQ3r4m74KRflOhSKebT2+wePFEHSM0DsWAKiQwJo7dTokAAA9mNDXYcWz92xDsaxcfyjSUYdN08EyhXG4m8NUru+33L1aX1HDzLi2di6Kg773quzKpcuYCE1NhJ/OnuFVt6qVjVGxqfrrpSokL2eRyunmTcaPMuP9BRmSgWwi2E1wvzqVVvtYcQUb1gjiLY71xlfytF6nbl/86QZ2zqLbIKZix0jWOzrz5eRsXH8a08hzrZpUNOuQZ6Qi03JXIyMjS+2aAQvw6GgsUAgQFRUlFMVX7lyBSaTCQ8//DDGx8fx5JNPIiMjAwAwOTmJjo4O/OpXv4JWq8W9996Le++913npvYTWngErw3R9Ygzyk3nY+toXVuXkeiO+UeuRJ+RSS0ae/fwSju3ajNNSld2SpdfuzcGpKwoUinnYlZ2C/v5+sCyWqZiXVJg3PAjy98PI+AS2rBSAFxGC7RlCj0ni7mnyEDyXK2o92GHByF3BQaGYh+GxCfSZxqDU6GkNI08nnhWGXetTcM9qAUJDQ2c/gUAgeAV5NssCpVoD43LidQlsahwURIbgZx814fH3G/DRI0X41W234GrPAGLCgnDXzYno6BukXW5oXpIcHOCHPFEsSg+WISeJg9tXxaFncBh/b2zDvo1pXu8EEQjAtN3437fdMp0788+fISdp2tZVG0zoHRrBK9VXKNt7YHgUeSIuVvGicE0zgF9+ehHP3p6Br9XTf9u1PhnBAf4o/N/PrXKF5gm5OGuRYzNPxMWmFB4KXjllJYtcb4SkZ4DYsQQAQGx4CCanAOPYBIL9/ZAYHYYUTgS1wZfl2GD20f509hu8s3szGjq0qJZpsD4xBrelxUE1YEKjXIdzXb1244d5pciJhwrwg0wRpL0GPPnBeRz8fi4aOrQ43apGnjAWN/FZ+PyqAlvTBLRL7dfFR+Nv56bTWRSl8jEyMmwnpyVr+NHEb6OB6XnNN+WcuV7bDQzN6SjN2MYbzDGDNq3BbtM4sy+VkxSDQjEPptFx9A+P0/pSzPUOWNXLfP/2s3KdsUMWW9cW+/rzoVnRN+0zC2NRksrH0NgEZLoh9BmHkcp1LrZHWN74TJmTFM/AM888g2vXriEnJweBgYHU8f379zOec/XqVTQ3N+P73/8+2tvb8eijj+Kzzz6Dv78/BgcH8dZbb2HPnj2YmJjA7t278cILL2DVqlW0dY2MjODy5ctzuD3PgJeyCt8+XIHQAH+qs//9d7Jodw39aG8x5P1G7PtnHZWz6tD2W/FecztatYOQag3o1hvx7z2FuNozgGZFH/ZsSMH5rl6cbdOgMIWHzcmx8B0ehG9IONRDY6jr1KKxqxf5Ii7WJbBxTaPHOn4kBlRdGBsbW8Qns3hkZWUtyHW8XXc9kaSVqzE8MYnTUhVqZBrkibgoFPMR7OeLzmtfL7Z4bmep6O6Gt51/Vw0/WO0GSQgLxVLRXUfhJqfhrr9WWo3ztjmNgemx/9+789HbNe2081JW4WDtVezbmIYKyY1+rjiVD5+hfkwGR+CuN6vs6nj1nhycaVNjQxIH6+LZuO+tM3j29gx8pepHQ6cWG5I4uOOmeBh7FNDr9QgLC0NQUBBGRkYwNDTk9uex0NdzJctNdxeagIAARPITUdPRi7PtPdgkjEXeihiYelUIieGjSdEPUWwUWhR9qG3vQUEKD5kJbLxRL8XNfBY2JXPxxIlz+GVpOr5S9eNcVy/WxbORER8NfmQIGjt7kcaLwgW5DtVtGmQlsJEuiMaX7T0QcyJQlMrH3xvb0NStw8j4BKRaA4ZGx3FiTyFSX/g3gOk2dvDeXBjHJvDkB+dmbMOeBNFd90Onv8UpXPiOmTAxMYGBgQGrPo+bnIZH3vkST5ek44pGj2a5DpkJMfjW6nhcUesRFRIIdkggggP84OsDBPj54rRUjTWCaOw4ap2TeH9eGv6z+GaUXVOirqMHm5P5WJ8Yg7KrcmQksCGMDscn38hxvqsXm5J5SI4Jx/1Hz0KuN16ffMHH99KTkPPHT+z0mG4MSxew8NEjRdC0XXX7c10I3XWl3vJTVuHOwxV2z+vk3mKoWulneTtCnHgVZLohXFT0oVmuw9p4NjLioiFih0EhvVEvLzkN3/5rpVW8wTg2jo8fKYLa5n0lpK6GcWwcZ9o0qJVpsFHExeZkLkID/NEtsbbP6eIYxrFxfLy3GGqL+3JGX8xtZmh8Cr5+vpicmESYv49dbMJcrrazF2dkPdgsisXGpBiXxTBms0uYxqbZru8purvcfWaCc8yktw4FjV955RXa4zMFjUdHRzE5OYng4GAAwL333os///nPEAgEmJiYgMlkQnj49FLIl156CStXrsR3v/td2rrMjWLNmjUICgqaTVy30tjYOKeOQN4/ZLUEfUuqAJMAKiTKG8vSUwXw8/FBdZsaq3hRCPDzxbWeAWgHhxHPCsOK6DB82d6Db9+ciFerr6C114AnNt1ktSGO2QB4In8VBobHsP0te8fyxJ5C7HuvDkd35i/YzKK5Pjdvx5N014y3vwvbDSEA0G4I4W142ntxt+76PUWfumgmJv4wey59V+Fp72Mx8bZn4S7dnctzkOuNqJCoUC1TI1/Ew5aVAvj6YNbZNT0GE0pf+wJhgTectKGYaFrPAAAgAElEQVTRcZzcW4x4Vhjk/UM4+Y0cfcYRbEqeTl0xMTVFBZlLVwpwqzCW1oF998ECRAUHuH38t3xeaoMJp6UqVErVKBLzUCjmL9rMZk/WZ3f3u55677YbNwM3xvU7D5XjwLZs2kDtgW3ZKD1YhnQBCx/vLca3bfT97P6t+PWpZhz8fi7ufvO01d9+f1cW7lsnRFWrGp19g8gVxkIYHQ7DyBiuqPUoSOFhZGISpyUqBAb4IU/EhazXgD7jKLKTOCi7prCy391pf3jqe7PEMoDh6bLOB7p3Yam/8VGhOLIjD5KeAVyQ6xj7O3n/EG3//NYP8hHg54um7l60KPvx8AYxzndpUdWmRp5w+uNhs1yHkfFJFK8UwDQ2jjtet7eJj+/aDNP4BLVxnpmdmSIc2LYeQ2MTqJKqUNveg5wkDvKSuYgOCUBseIjVPdr6r0sthZqzfe5MbVFjMGFodNwuFUBYoD+48xjvFHojvkXj93zyaAniLPqd3iETBobH8Y1aD5XBBH5ECG7iRSEy2B8xYTb654QvZa7X9r5o6+0fQmWrGtVtGuQnc1GUwqPVF3Od1TINFczMF9nXaW5btrbQqce2zGhDyGQyiESiGZ+r2mBCi6IPXf1GJLJCkR4XbVcn09g02/UXAkd0d6n6zM7iDWOoO3HF/TuUnmL//v0wGo3o7OzEypUrMTw8POsy6n/+85+4du0afv3rX0OtVmNwcBCxsdMJ09vb2/HjH/8Y//73vzE5OYmmpiZ873vfm9eNeDrmJeiWOX3UBhMy49lYnxCDyeux+9tfn+6YzuzfCh8AXf3G6a+K45MID/RHkZiPrv4hrGCHQTFgwleqPhzYlo2nP27C776dSX2xburuRZ9plDYh/RfXlHjhzkxUtaq9cqkFYXnDtNHE2VY17s+c2UAgEAiEhSQ+KhS71idb5R0EQLvU0TKwmieMxYnreehqZRrszErGKm4U6jp6sNI4Ar1pFHeuTkClVIW3zrfiyYLV2P7WjRlo+zetwsdfy2n7yvJrStS2a/D776xfEKfH1uk6VCfxGKeL4BnQbaAUFuiP8mtKhAX6UxtEW9Ki7Kc2pvPxAcol9BtPvnBnJsqu3vhbVkIMju/ehLGJSTx0rAZPl6SjzzSKtxtlyEyIwW1pAmSv4OBESxcuyHXYKIzFrcJY+Pv6QGccwSffKKAYMGFtXDTOd/biLzXX8IfTXxN9XsZY6u+RHXlWHziY+rtqmYZWp1uUffjsihxvN7WjbF+p1eSfw3VSlKTy8cb9G1EhUeFnHzUiT8TFiT2FuP+ts2js7qXqae01QGccoc41B7OvaPT45acXpoN0yVy8Un3VSkZL1AYT7rSYYUp0fWZOXVXgoWO1eHiDGFkJbJxt02DP8Vr8bUceHlhPn5rKEb5g2AivXKKysi1qZD0IDwqEcsCEc11aZCdyEBzgj6HRMdx1c6LV+cyb6ynt8g+b601kheIH60SYnJqCTDdkV2/PoAkdfUMI8ffDhsQYhPj7oaNvCIH+vlRqFjPGsUl8z+JD3qE6KbXiOsai3JftPTiwLZuKb1jaQtvWJNk9qxt2lApF/WD8QN0zaEKr1oBrWgOa5TqYxtkIDfSHrw+sZGXe3M87YijEZya4CoeCxl9++SV+9atfYWJiAsePH8d3vvMd/P73v0d+fj7jOffeey9+/vOfY8eOHfDx8cELL7yAo0ePIikpCSUlJdi2bRu2b9+OgIAAbNu2DampqS67KW/A1onKXcHB7vUpVEoKdmiQ3RKkdAELHz5SbPXV2DzQn9hTaDWLYnh8Oo8WHY1dvUiOiUB776Cb75JAcD1nWuk3eKwiAyCBQPBSmAKrB7ZlUzkC0wUsvLkjD9GhQYgODaJmj+Su4OALicrKnjAMj6PpegDBlotyHXzgs2BOj7c7XQT3Q7dxs5gTgRqZZsYNJM2bP/r4ALWyHrvzDcOj6DeNWrWF47s34defNSNXGIunS9KtZzDXTwcu/vlgAf52rhX1nVqqLf5rTyHCgwKpnLDm9vlKzfSya6LPyxez/uau4DB+4LDVD6bNys+2aeADH8a6ni5Jt5pRf/i6zlqmUgEAjWEYdR032oR9MNv6PDoZLftuy40fia7TU3O9D3qjQYo3Gm4cr5Zp5hU0dnQjvMTocJsYgZSyGxyv037TOtt6AdDW22cao02/9e6DBXZB47MMwczqNg12WPhyK9iOXRugs6OkjB+oHZWVqZ1WSlRe0QaIz0xwFb6OFDpw4ADefvttREZGgsvl4u9//zteeumlGc8JDAzEH/7wBxw7dgxvv/02MjMzsWfPHpSUlAAA9u7di/fffx/Hjx/Hjh075n8nXoatEyXmRFBG7dZVcahl+AJdJVUhNMDf7nh1m8bquFRrwIYkDu21M+LZON+pxWaxfWJ6AsHTuVUYS3t8I8NxAoFA8HSYAqvmmZTm35eVfQjw9UGFRZDYNqj2SI4YZ9tUWGuz8Y2ZW4WxkGoNqJSo3HQ31szkdBEIwPTGzbZItQbkibiQag2MupwRz4ZUa4BUa8BGUazd+VmJHDR2aanzp9uGGj4+gGF4lDHA92V7D7amxVkdmw7mTVm1R8v2SfR5+WLW35k+cNjqB53OA8CGJA6kWgNtXTMFpavbNHh4g5g6xosIpvxAR8+zlZH03c7B5Ifkiebnn+QxbKRnu8Fei6KP9h1ftjkGABuZ6hTaH2eut8/qWHUbcyDYljNtzMFMSy4xXVthfW1g5g/UtjgqK1M7LUrl0x73NIjPTHAVDgWNJycnqdQSACAWi2coTXAE24HY1ig+16W1PQUAUN0+PevClhqb43UdWtzMZyFdwLIqly5gIY0bBXZYEFbS1EMgeDq3xEXT6vWauGiGMwgEAsGzYXLOzTMpzdTKejA+OWU1S8jWfmCHBIITFoxV3CjavnJ9YgzqO7UL5vR4u9NFcD+FYr6drg6NjqNkpQBDo+OMupzGjUJ9pxZDo+PYlMyzKlPXoQU3PAiskCDq/KwENmplPVRAmSnAV9PeQ3NMA18fH6v2aNk+iT4vX8z6O9MHDlv9oNP5dAELG4WxqO/U0tY1U1C6pn16g0dzPYKoUKyLZyNdwHL4PFsZSd/tHOlM/olgfv5JQQqPtt7Nydbvp5am3wKAWppZxUUM+lcgtn+3TPXW2KzuaOikj13QHWea2GZ7/Eume6I57sxHDkdlZWqnBSneMfGO+MwEV+FQego+n4/Kykr4+PhgYGAA//jHPxAXFzf7iQRGisQ8aokbMG3cPnfHuullFFcUeDwvDYfqpHbn5Yu4+EvNNYeOb3/rDKqfuB2fXZGjsasXGfFspHGj8LvyFry5Iw/ssGDX3xiB4Gbaew04sC0bVzV6XJTrKL3u0A1iHYOxTiAQCJ6MrU1gJiOejaPn26jf2UkcNCv6kCfiUmkrLO2HFmU/PrmiwFOFq/HEiQarvjIrMQa3r4rHEycaFtTpMTtdtstAvcXpIrgfXkQITj22hXaDyFOPbUFDpxZv7sjDZWU/amUaFIh5WBfPxhsNUhy5fyOKUvn4z48a7fSdHRqEb90Uj0feqcWBbdnw9ZlCcIA/DtdLwQoJRGZCDFBvb2tvSubif6uvWh3LE3IxOTUFqdZAHTO3T6LPyxtL/U2NjXSov7PV+XUJbNwiiIafrw/SBSy7fh2Y/kC4e30Krc7mi7iYmpzCK3dvQBo3Ci2KPrx/qRMHtmVjdGICCr2RGjMsyRNycbZNQysj6budo6tvkNY/6e4fmpd/clWjx4k9hai22IguP5mLaz0DWMEOp8ox2RF0Qf6pqSn86/q+CZab201d32PJkjxRLG29tjOdC1L4tLGLQpqPD/kiHq1u2ddJf08FNHU6c/+OyjrT2OQNEJ+Z4CocCho/++yzeP7556FUKrFlyxbk5ubi2WefdbdsSxq6gfh35S04+WgJamQaalYEXWf6h9NfW9Vl/tpoe5wdGoiB4VGUpsXhZj4LZ6/vEH1kR57VbqsEgjexIYljtTHH0fNtMI6N4+Te4sUWjUAgEOYEk3Nunklp/i1kh6P0YBk6nrnbqvxDx2pwfNcmdPQN4XSrCuGBAfj11rVoVvRBbxrF9zOE4IYHYWB4FDuzRAvq9Hi700VYGHgRIbQbRPIiQqjNltbFs61yeL747Ru7gb+wNR0NCj0Mw2O4b50QkcGB2Pinz3Bs1yb89s5MNCv6oDGYsHN9MtIFLNz95mmc/o/baNtdKifCKodruoCFTclcyHRDVu0xVxiLmLAgos8ESn8BONzfWeq8bmgYX0hUCA/yx6v35KBZ0YdTV+R4d/dmNHbrUNWqQp6Qi6JUPtJr7XV2UzIPv/r0IqRaA4xj4ziwLRsff92Njr5BfL6vFLcIohkDwIH+vvjNtzLsZCR9t3PkrIjF1te+sPNPbDcYdJa18Wxsfe0LZCdyqA32DlR9bVevM0H+IH8/tPUarDa3Uw6YkBxjvwq5OFVAW69tMLY4lf76RTSzlyODAyg9Nwcz18ZFIzI4YM51OnP/ztTLNDZ5A8RnJrgKh4LGMTExOHDggLtlWVbMNBBbGh2VUhVOS9XYKIxFkZiPr1X912db9KFW1oMCMQ/ZiRyYxsbx7u7N+LKjB1+2a1Ek5qFQzEeIvx8aunrR1NWLwlQ+VnIiyAxjglcTzwrDyb3FqGxVo7pNg8fz01CUwkM8K2yxRSO4Gb+njjp9zsQfdrlBEgLBtdDZBHkiLpq6e/HD3NTp38JY1HVosTdXjA7dIE7uLUaFVIVqmQb5Ii5WRIchMSoEGXHRMI6OYkV0GPTDY1AOGDE2MQlOWDDiokLnvVR2rvfnrU4XwTvo7WrD9qzpILI5AHfnTfHQGUeQlRADnXEEACDrNeDjvcWolKrw2pfX8P5DBTjX1YsqqRoFYh6KxHxMTQFHdmycbltCLgrEfAT5+2JodIxqj2abnczWItgyl/6OHRZMlVfojdAPjyHI3xdtvYPYmibArUIOzrZq8I1ab9f3F4v5+FqtR1igP/7P5lU3ZuHvyENxKh/c8Gm/7+SjJaiQKCm9LkzlgxUUgPvXMW+IRfpux7Edx39ccJNLguy29ZamCeYd5OdHhmBiagotyj4o9CbERYVgJTcK/Ej7svFRodd1R4VqmRr5Ih6KU/mIt5mANpfrD4yMIcjfD3FRIVjBDre7vjN1WpatkChRnCpwqOxS/iBCfGaCq/CZoluHYMNnn32G119/HXq93up4eXm52wSzZGRkBJcvX8aaNWsQFBS0INdkorGxEVlZWbMXXATa29shFAoXWwxaPPm5uRNP0l0zS+ldTE5OwtfXodTsHo+nvRd36+5cAsBzYa5BY097H4uJtz0Ld+mupz4Ho9GI0FDPWz3kqc/LU+UC3N/vevK9zxdyb4uLWXcBeLys88Eb3sV8WQ73aMbZPncpPhuNRgMul35jPG9FJpNBJGL+GLIUcFZ3l5LP7CxLsd06gyvu36GZxi+++CJeeuklksfYw7HcrJBAIBAIzgenF2pmMpk1TXAV33zzzbI2hgkEAEhKSlpsEQgEwhJn9erViy2Cy+nq6lpyQWOdTrfkg8YEwkLiUNA4KSkJWVlZy/brxGKiNphwWqpCpVRNpZywXDqhGjBhYHgM1TI1Gjq12JzCR3ZiDP5aL8XNvCgUp/LR2TeID76S4+EcMRq7elHVqsa3bopDViIH1W1qxroJBE9F3j+EcokKNTIN8kRclKTyyVIbAoHgdZjHeM3gML6XnoQKiQpfqfrxcI4YTd06VLWqsSEphko3VXZNSfV7xal8tGoHkLwiZVZbgUDwVMy6e0HeZ2WnmvXY1weokEzr9pZUPrJXcFDT1oNLSh325qZichJokvcijRuFT8+1ora9BxuSOMgXxcLP1weH6qRYFx9N2gTBo7HswwtSeMhMYOP95g5sXyfEuc5eVLWqkJ3IweYUHiKDAqAfGUN1mwbXegawZ0MKznf14mybBgUpPGQlxuCNeimKxTzczGdZ28srBXZpBQizs9h+h6NjvFxvRLmFneCq9+0OG8PRZ+ou+2a52E2LrbuEpYFDQeOHH34Yu3fvRnZ2Nvz8/Kjj+/fvd5tghOnObOtrX1BJ2g/VSZAuYOHUY1vAiwiBXG9Eh24Qj79fb1FGinQBCwe2ZaP0YBnSBSx8vLcYt6XFYfvfqqhy2zOEuPNQOWPdBIKnIu8fwp2HKyjdPVw/rfMn9xaTQZBAsIDMZvZsLMf49mfuxrev92tl+0px31tn7MbnV+/JwZ7jtQBu9Hsf7S1GV98QHj9yloznBK/Dsg2U7Su1slMt9f4Hf68GMG27bvtrJVVeYxjG4+/X48C2bOw5VkN77m1pcZQ9TNoEwRNh8vdO7CnE3W+etvPx/rWnkGorTOPFgW3ZELLD6O3lR0tI4NgJFtvvmC0eQMmpN1r59q56345e3xkcfabuuLY76/U0Flt3CUsHh6YO/9//+3+RmJhoFTAmuJ/TUpXVrp4A0KLsR1Wrevr/ij5cVPTRlmnVDiAniYMWZT8qpSoE+PpQ5XJXcHBFo5+xbgLBUymX0LeLCqlqkSQiEAgE5zGP8c9/KwOV1/u1mcbnZkUfcpI4VseqWtXQDo2Q8ZzglZjbgCN6n7uCA6l2gCrfZxrBRUUfwgL9Zzy33zhC2cOkTRA8ETp/LyzQHzUyDe3xM23qWdtNu24Q36j76e1lCbGXnWGx/Y7Z4gFmyq8p3fK+Hb2+Mzj6TN1xbXfW62kstu4Slg4OBY3Hx8fx29/+Fvv377f6R3AvlVL6jqvyeuevHDCiWa6jLXO+qxdiTgQAoFqmwaTFfodiTgTjeZXEkCB4ODUyDe3xaobjBAKB4ImYx/gNSRyqX5tpfL4o11HjupnqNg20Q8P09ZPxnODhmNuAI3ov5kSgsauXKq83jaL5+t9mOrffNEq1G9ImCJ4Inb8n5kTQ2rtiTgRqZT3U/5l0v6FTC/UA/dhQLVtagTF3s9h+x2zxADPMcs7vfTt6fWdw9Jm649rurNfTWGzdJSwdHAoaFxYW4u9//zs6OjqgUCiofwT3UiTm0R9P5QMABJGhWBvPpi2zPjEGUq0BAJAv4sLXx4f6m1RrYDzPXDeB4Knkieg3a8hnOE4gEAieiHmMb+jUUv3aTONzRjybGtfN5CdzwQkLpq+fjOcED8fcBhzRe6nWgKzEGKp8VEgg1l7/20znskICqXZD2gTBE6Hz96RaA629K9UasFEUS/2fSfc3JHHAi6QfG/JF9P4lgZ7F9jtmiweYYZZzfu/b0es7g6PP1B3Xdme9nsZi6y5h6eBQ0PiTTz7BG2+8gT179uCBBx7AAw88gF27SN5Dd1Mo5iNdwLI6li5goSBluqNLj4tGRlw0bZkUTiTqO7VIF7BQJOZjbHKKKlfXocUqbhTteVtSBW68IwJh/pSk0reLYvHSGugJBMLSpnRlHNIFLPzXJxdRdL1fm2l8XhsXjfpOrdWxghQeOGFBM9oKBIKnYrZzHdH7ug4txJxIqnx0SBAy4qIxNDo+47ms0CDKHiZtguCJ0Pl7Q6PjyBNxaY9vTubN2m6E7HDcxGPR28uzBMbYbPpA9HJlsf2O2eIBZkpWCub0vl11fWdw9Jmar527goMHskTIXcFxSV/ujnvyRBZbdz0F0qfNH4c2wquoqHC3HAQaeBEhOPXYFlS1qlEpUaEolY+CFB6VoD0+KhR+Pj54d3cBqmUaNHRqUZjCw/rEGPy1Xoq/7chDkZiHrv4hlF1V4N0HC9DU3YsqqRpDo2M4+WgJamQaVEpU+NbqeOSuiMW1ngFU1akhZIct2V1ECe5jIXaijWeF4eTeYlxS9kE5YIIgMgS3CKJJQn8CgeDx2PaRJx8tQVN3Lz5o6cTHe4tRKVXh1FU53tm9GRe6dTjdqsaGJA6KxDwE+/vhyI6NqJZpkC/iokjMR1uvAaKo4BltBQLBU7G0c23tVLMe+/oAx3ZtQqVEhT7jCD54pAi1sh58flWB/flp+PSHW3BZ2Yc3d+ThsrIPtbIe5KzgYKMwFn6+PjhcJ8WxXZtmbRMLYb8QCHTY+nsFYh7WxbNx/IIM7z9UgHOdvdRYsCmZi6jgQHz6wy1o6u5F2VUF3tm9GY3dvTjTqkGhmIfMhBi8WS9FcSofJ/cWo0KqRrVMjXwRD8WpfMZN0W60ARWK+kHawHXMfkeFVEWNv8Vi/oL5HbPFAyg5o0Jx8tESVEhUDr1vV1/fGRx9pryIEJx8tATl15SokWnw2K0rUbJSMG+9dMc9eSLL3WcmfZrr8Jmaskh2y4Ber8fLL7+Mzs5O/M///A9eeukl/PznP0dkZORCyIiRkRFcvnwZa9asQVBQ0IJck4nGxkZkZWUtqgxMDA0NISxsbp2AXG/Ex191o6m7F2vj2VjFjcLvyltwdGe+SxqXJz83d+JJumvGXe/CdidaAG7biXYpOnee1kbcrbt+Tx11eZ2uYOIP06to3P0+5nL/ZtkW+hqeppuz4S7dne9zcFcfySTXYveTnqo3nioX4P5+15Pv3Vls9XuTMBZx0eFzrmuh7Je54A3vzay7ADxe1vmw2O/CXf26p7cBd+Fsn2s0GhEaOr8grKex2Do9E3PVS1fe02LbUkw4qrueKr+7Wa59Gh2uaA8OzTR+5plnkJeXh0uXLiEsLAxcLhc//elP8frrr8/r4gTXcuXKlTkphNpgwp2Hyu0a1YFt2ahqVWN7htCFUhKWKjPtROtKHbIdBA7VSZbtIEAgELyHheojAdJPEpY2rtbvhWybBMJccWe/TtqAY3zzzTceG2Bdiiy2Xnq7LeXt8s+HxdadpYZDOY27u7tx3333wdfXF4GBgfjJT34ClWpp7S65nGFqVFc1eoyMTSySVARvY6F2op1pECAQCARPZSF36yb9JGEp42r9Xsi2SSDMFXf266QNLF88Od+rWS8fyRHj1Xs24JEc8fTxBdJLb7elvF3++UD6NNfiUNDYz88PBoMBPj4+AID29nb4+jp0KmGeqA0mvHNBhn3v1eGdCzKoDSaX1lnX3sPYqJoVfRDGhNtd2x0yEbyfhdqJlgwCBALBG3FVH2k7BsckJtuVYeonKyRKnG1TQ643OnVNAsFd2Opzz6AJPYMmXOsZwBv1Eux770sca7K2NZn1WwW9adRpGRbKfiF4Ls76NpbljzXJcK1nAE9/3OSwXzQXX8qd9i9pA8sPsw6+eF7lsf783emJkPziu8gTxaKpW4c8USwkv/gu7r4lad51O9IGvd3n9Hb55wPp01yLQ+kpnnjiCezatQtKpRKPP/44Ll68iBdeeMHdsi173LGkwLbOFmUfdq9PoS2bmcDGzz5qQn2nlrr2yUdLrFJZOCrTXHMtE7wH8060tmlOXL0TbUEKD4fqJLTHCQQCwVNxRR/pqF3A1E9uTuGhUqLCoS8l+O23M+e9QQ6BMB/o9Pns/q0AgMffr7c4LrXS8yIxvX6vjYvG/hP1+P131jtlJy+U/ULwTCz1MHcFB6axcZz8Wo6Xv5NFq0fm8mGB/hBzIvBK9RUMjY7jwLZslB4sm9Uvmqt/x6T3rgiCkDawvLDXQalHpi24mc/CnYcrKDkP10/LeXJv8YznzTZ72rYN/+nsFfy2/LLd/buzzS0Ey9lnJn3aDZKS5v+RxaGg8ebNm7FmzRpcunQJExMTePbZZ8HhcOZ9ccIN6JKU13f0uDwXi+0yhboOLZ67Yx1to9qyUoDflLVYXbtCokRogLXaMMlkeU+bhBxEG0weNRARXMtC7US7PjGGVl+zEmNceh0CgUBwJa7oIx3N0ZbF1E8mxKBKqkauMBaDI2N4/2I7xqem7DZGWa4bpxAWFlt9zl3BgdJggtowPKOe54u4tPqdxo3C/hMNuOvmRKfsZEfbJmkXS5PTUhV0xlGU7SvFFY0ezXId1sazoR8es3u/YWFhqO/owYFt2VTZnVnJWMWNQnf/EHKSOKjv1M7oq8011yZTECQjng31PH0syzZQIVGiOFXgFhue4Bk4q4OL1feVS+jlrJCqsWu9/SqrG3KqUNQPRjmZ2nBDpxZ33ZxIlfP2wGNmAptW/nUJnpuSxFXwIkJw8tESVEiUqJZpkC/iojhVsKz6NLneiPJrStTINMgTDaBkpWDOk0UcChrX1dXhj3/8I44fP462tjbcd999ePnll5GZmTmnixKs0Q2N4E9nr+C0VIW6Di1alH24pOzH7mz6GcCVEtWcg8Z0yxQeOlaDs/u34tRVBRq7epERz0YaNwr73qvDkR15KD1YRpWtlmkg5kSgvlM7o0zLOfH6coYXEYLtGUK3JpgfGZ/Aq/fkoFnRh4tyHTLi2VgbF42RcZJ/m0AgeDbz7SNnWmpoWecb9VIc2JaNqxo9Lsp12JzCg4gdjtKDX1CpKdIFLBzbtRlrXvoQOzNF+PPdGxAVEkjGb8KCYavPYk4E9KZRNMt19OUlKuSLuNhzvNZKv7MSY3DHTfHI+9NnVDln29hsbZO0i6VLpVSNIzvy8OQH5+yCK7bvNygoCIkR4dhzrMau7Js78igfaSYddLQft8Uc2K2UqlApUVH+2pa/lIEdGjhvXTS3geyoKYhEzHIQvB9ndHAx+74amYb2eLXMPmjszOzpxGjmNmzJQk2Iche2tqC5z3ijQYoXv720N3RUG0y481A57ssQ4r61QtR3anHnofJlM2bL9Uar7ADULP1HS+YUOHYoMfGLL76IZ599FgCQnJyM119/Hc8//7zTFyPYozaY8PHX3dAODmPX+mRIfvFd/PDWldAODqO+vQc1T9xu92LnsySCLr9LIisUVa1qHGlohWlsAkfPt6H0YBnKJSpc1eiRk3RjVnm+iAup1mBfr41MyznxOsG9NHXrsOmVUzh6vo3S102vnMIFBieTQCAQlgqO5mhbFx+N0oNlOHq+DXFRoQj298OmV05Z5TJuUfajrqMH9T/+FnKFsfjZx4344qoCFQPBuCAAACAASURBVAwze8j4TXA1tvos1RoQFRKItfH0s6DuXbsCFRIVyiUqSr9NYxM40tCKSokKW9PiEB8Vip8Urp41V6WzOWWJXbt0ufeWJFzR6B16vz4+PmhR9NGWbVH0IcjfD8B0n6wbGqbVMWdybdrqKQDER4ZY+WtyvdGluqjTEXt6qeOMDrqr75PrjXjrXCsee/dLvHWulXavhTwRl/bcfJG9/M7IydSGL9scA258TPnL93OxPUPoVQHHm/ksq7HS3Ges4bMWWzS30yzX4cSeQsRFheCdi+2IiwrBiT2FuKToW2zRFoTya0r6WfpzzGft0EzjkZERrFy5kvqdkpKC8fHxOV2QcAPbL2Kon/7KdWBbNg7XS6kvApazfee7JIJumUWhmI/a9h7Ud2rtZhBflOuor+bpAhaKUwX4w+mvrcrQyTTXr+gEwmzUtvcAgJ2+1sh6sIshPzeBQCAsBRxdKmkuV9+pRWpsBBQMG9/Vd2gh6RnAixVfAQBMYxMICaA3Dcn4TXA1tvpc16GFICIEgogQWj1fnxiD//yokTpmaQekx7GQlcDGng0p2P63qhlnxc1l5hyxa5cu2UkcvNfcQfs32/c7NTVF2aG21Lb3YGR8AukCFvJEXBT/pYxWxxztx5n09M0defhHk2xWWQkEJpxJu+COvs/RWZAlKwW0chbTBLedkZOxDcs0tGkvvJWS1Bu2IDVWClgoFntHTub5kMaNwrY3Ku107IOHixZZsoXBmVn6juBQ0Dg5ORkvv/wytm3bBgA4efIkhEKh0xcjWMP0Rcw8u7e+U4sWZT/keiN++611EMaEz7gkwpHN5uiWWWxJFaDsmsIqUXruCg7EnAh8Nz0JLYo+HNu1CVtSBWCHBaHiR7fhC4lyxmUa3p44fimzevXqxRZhXuQJY2l1K5/hazSBQCAsFejG8A1xUXZjsGW59t5B8CNDcLhealffRmEsDtZeo34H+fvhViGHto/dSPpYgosx6+llZT9MYxMQscMQFxWK8clJvPtgAarbNGjo1KJQzEORmI+okEDkibi0upwv5CIrMQbNDDPILHN1ziWnLLFrly5RIYEoFPNp9cr2/Y6MjDDqQu4KDhJYYdNBmln2pTnzH1sxMDKGDt0ghscnsUbAsuvHmfT0srIPOUkc+PhMp3SRag2o69ASXSQ4jDM5rN3R9800C9IyoBUfFXo9L60K1TI18kU8FKfyaZfXOyPncunP41lhOLm3GJdV/VDoTYiLCsEaPgvxrNljRt5OVauaVsfOtKmxix2+SFItHIy2Es0sfUdwKGj8/PPP449//COeeuop+Pv7Y/369fjNb34zpwsSbsD0Rcxydi8w/dXrL9/PBXBjmZI5EX1+Mg+NXVp88o0Cm0QcROiN1G+6RPXmBPHtuiE8mJ2MlbGRYIcFUV8cdcZRHNmRRyWG7zeN4sENKfD1AcquKawS4M9lswZvSRy/FJH3D6FcorqeDJ2LklS+Vw4am1N4tLq1KZkENAgEwtLDeiMLLkpWCqxyrzY2NkLIzbIrV5DCQ2JUKLamxWH4+uw3234zPS7aasXG/8/em8c1def7/y92QgiQkIWENSHgiiDIIiAgiNa2jq22Wmu1dWnrvbf9zox3azszd+7v9t6ZzubcTpfpnVp1dDrWLra2YzuWuiBLAUWlbiCBsCUkISRAgLDz+yOckJOcAwkFFTjPx8NHy8nnfM7nJJ/t/f68l/6hYSyTUCdOWSqe++6MDDOLfTIlwlpM192HwjoNUiL4yJSJwGV5IVYQAAmHhfQoPtzc3HCmWo3Shja8siaOsn+ujglBWBAbfyiqpny2rbXZVCznmH3t3CY3xrnft6enBzmxkZRl1y8KtcpcX95WUz5Hoe+CurMXpv5BFNfrcKlZj+xosqJKazJD2d5N60ZcqmzDkW3p+KZWY03i9ZsNSYgRcKb07gz3P1T7gKkmtCJwNob1TMx9rlhBhgb6YccK2aTWka6005WycyEBqq67D+VNbbThPuYi9H1MNy88k12x0ncGp5TGgYGB+PnPf279e3R0FC0tLeBwmMXp+0B3ypUQysOxy/Xj5cZ+XDo3pQMbk/FuWS3t34S7nf39aZF85MhD8O+rl1gzTJr6BvHEsYskU/7tiVL88uFEnK3V4L1yhVNufPbWUNkyAVbHSmbdJDtXUHX04KGD58D29oScz8H/fXsHBwpv4fTe3FmnOL7RasTJXTkortehpEGHjCghMmVC3NQYETkPTg4ZGBjmD23dfXi7pMaaKJfOhZPO1fPkrhxkv3UGBfvWkNdkuQgrwoJxqbmd9DyF3oTv1EbKxCktHT1YThNrloFhMqj2sEUvrMM/flLukLjo7c2pGBoZxbvf1uKx+Ei89s11qzv+lRYDPt2Vg2KlDurOXmRIhYjmc/Dp9SY8lShzyoJsKlZmsz0hEsPEuPL7Tla2u38QDyyQUPaxp5Ki0WDopuz3Z55fAwBY93/fgO3tie1J40oywgNUoTdh07II3NR0QN/ThxuaDut8f+4f1k7Ld8HjMfP8/cR0J7Syx2AwQCqV0n7u7gbKBOTublN/Jr0V5NSVmq6009myxLpFyM9/KKrGL8/emDXJ1Ozl/3dK7+B3F2an/O8q021pO9vwdHfDp7tyUGSjL1klE8JzigPXqUR4x44dQ2JiIhYtWoRFixZh8eLF2LVr15QeyDAOccplS5w4CAuEgaS4M8Sp12ThLOj+JgLAE/eHBvqhYF8+nlsZi8fiI/HZjWb86uwNVKkMuFg/bspPlEuLEuDVr6uwSiaE4pVHkBQWbHUhMfb20b6fiMPCmpgQPJ0sQ2NHLy4oNJMmGmGYGcoa2nBgYzK2J8ng6+mB7UkyHNiYjPJG/eQ332fESXjYdPgCiup1WC7hoaheh02HL2CpmNnkMjAwzE60JjOOX1Fi30ff4lB5LVQdPVB39uKr2yrou/uwPUmGgn35CA30c0hkERwcTOvqWVyvQ3I4H+cVWlIyF76fD3b+tQQLBAGkfUhZox4xfA72n7pESpyy/9QlpNgkxWVgcBX7PeyGJWFQGrqpE4q1GjE4NIJoPgd/KLqNtCiBtf9XtrQj+62vkSkVIoLrj79UKvF1jRoro4T4ukaNTJkIeXbKX3sLMrr992SWc7M5IRLD5Ljy+1KVJbxB/+Xzy+geGELRC+tISr2fr12GG61GXJsghAqRoKusUY+FwkDkxYSgYF8+tifJEMJh4dAT6dD39ONMjRqhAX44uDUdZT9cjzc2peD07Rbs+6gMxy7XodHQjY+vNTid6BEY92b91WWN0/cwzDzTndDKVc7VaigTkFN5bDibYHQ1zRycQxFr15mEea6209my5Y3U8nNF0+yQn+eS/O8qhKWtLd/H0na2caZaDfkvPiPpS+S/+Axf17ROqT6nLI0PHz6MU6dO4X//93/x4x//GBUVFSgpKZnSAxnGoTqpzpAKcaWlHc+lxTicXDsbzsL+74b2btL9R7ZlYP+pSziwMRm/v3ALbm5ANJ8DjcmMShurI6Kc/Un4yV05iPnFZ7ig0CApjIfRUTfw2D4O7XJI9AdMaqHMMDPIBAHYdbzE4bc4vC3jHrZqavzlch1O7spBtbYTGpMZj8aF4+U1S/GXyjq8smbZvW4eAwMDg0s4WmAqoHjlETx6+ILDnE0kxrV14WSz2SipcLSmAICSBh2SwngObvcff9cENzfg6OV6HNyajktNelxTGZAaKUCMgEPam/woexFjUcnwvbHfw/7iweV4veg2ZdmrKiMajT3WBI0Auf8f2ZZBGh+2nnYPvXsWp5/NQ4lSR2sxylgNM0w3VPM4IfN8fqMJK8L5SAzj4dPrTahSGSjrOF+rQbLN4dwzx0tQ8v8ewIaD53C9tQMF+/Kx9ehFh2d8uiuHdjxQeZ662n5mXNxbpjuhlasQc7d9AnL7fYUrVrk9A4OUVpA9/YOkcq5YWRPtdHMb/0fVTlfKhnP9Z7X8PJfkf1ch4mF/pzaitasX4gA/LJNwp8U6fzZAzBv2fXyq84ZTlsbBwcEIDw/HggULcOfOHWzatAlKpWPWVnseffRR7NixAzt27MDLL79M+uzDDz/Epk2bsGXLFpw/f97lhs8V7E+qQwP9sGFJOOUp92o5tQVEQigPCr3J4W/CUjgkgIVfnb2B9CgB0iL5qNZ1IornD3EAC2lRAvh6eiCEw0JujBjLwyzWmkQ5Osul3SlyZEiFcHNzw5e3Vdj3URm+qVGj0zxgLats7wbb29PhfsLymeHucZ3GquFGq/EetWjqxEu4AACjeQAVTe0wjvW5hLHrDAwMDPcCZy1s7LG3wNyTKid5/RAQnkR7UuXYkSTDV7dacOKqEm4+frRx6jKihKhsMTi43e/PWYztSTKYB4dQ0aTH8lAefD09EMFlQ+DPYiwqGaYd2z1sWiQft3WdSAoLdiiXFsnHU0lS6Lv7Sdet/T9Fjjtt1PvT2rZO+Hl5okSpI/VfL3d3h7HJ9HGG6YTKG9TQOwA3AEIOC5eb9bil6cT6RaFWWcue1TEhiAgaV2g8sFCCc7UWK9O0SD4U+i6HZ7C9PSdcL6g8T6lwVmab6jrHMHXo1ve75WZPp3+w31e4YpVb0dROaQV5qZl8oOKKlfUaG6t84vkF+/KxJtbRspQo+3RyNHw9PfB0cvRYWTH5WbNcfp7t7f++eLq7wcvdDW6w/HeqoRlmIz9YEobaVx7BI0vD4eXhjkeWhqP2lUewcUn4lOpzytKYxWKhrKwMCxYswDfffIO4uDh0dXVNeE9/fz9GR0dx7Ngxh8/a2tpw7NgxfPLJJ+jv78eTTz6JjIwMeHt7T+kl5gt0Qdvtw1kQfxfsyydZChfsy0eOPARVKgP+Y+0ybLOLXUycVseJgyDnc2hPwksadMhfIMaK8GBsOnyBlDyv4E4r9qTGoLKlHRfqNNieJMOr65fjmeMlVneSiRKNMMwMpQ1t1NeVbbMuGHxCKA8PjVldAOMWFaf35t7jljEwzCwe/+y4njLcH9DlHLC3sKFKqHJVRd68J4XxUKqknrOr1EY8kRCFv1QqsUzCxUJhIJ78aykOP5FOuT/IlAlxoPAW/vvBBFIbtvy50KHs25tTEc1nclUwzAy2e1g5n4Ovq9XYulxqvRYa6Icj2zJQ29aFv1QqkRDGQ0FiPmn/eE1lQGI4D9dU1ALvVZURcj4HV1sMyI4WWcfa8lAeYgQB+PK2yimrSwYGV6HyBj2yLQP/79MKvJQXB/PgMI5erkNiWDAeWhyGk9814ayN4itOHIQMqSXeJDEmbNcCOZ9D8gYlkPM5tOuFvecplfxFrEnnaieX2Zxd5ximl+lOaOUqziaNc8Uql5BLD1UocKjC5rpSR7KCdMXKOjmCj42Hzjs8/9Tu1Q73J0fysfG98w56kFN7yGVnu/xM1/6SWdL+70Nbtxl1ehPu6E2oUhlgHuLBz9sT7m6AwH/uz1eJYcFQGrrRYOxBlcqA+FAegljeU85N4pTS+Kc//Sk+/vhjvPTSS/j444/xwAMP4MUXX5zwnurqapjNZuzevRtDQ0PYv38/EhIsQst3332H5cuXw9vbG97e3oiIiEB1dTWWLZvYtfzGjRtOvtbMUllZeU+e6+Xlhc92ZqK0qR0XlW3IkgqwKjoElc16PJcWgyyZAJkyESqb9fjlg8vR0tFDSnr3+Y1mPJ8eC2W7CVdbDNaTayKxQlmjHldVBnzyTA5qdBbX/4PlCocymVIhMqVCfH6z2eouRSinC/blY8tRR2GUcCkEgFVSPqqrq9HT03NPvkcASEpKuqvPu5d9Ny4uDlkyS9IX+98yK1qE/v7++2ZsTUZwcDBK20coT00v1uuwkueG9nbHTfVswZm5ZT713XuB7W9wr+b6ewndO0/HdzEX+i7V98Bms1Fp8qS2hrmjxsOxQri7u6NjYAQPvefoQmxx0dSibCzGnNE8gKdWyHBD02G9RpAYxsNPv7pGOig+sDEZ36nb8fXza3CnrQslSh0kgX7IkolQre3AqaczoVXWomVwcMK2Nhm7IRzuQsudzhn9vu4HXG3XXOi7BDP1m7DZbPj4+KC/v99hfyeRSODv74/Te3JQWKdFc6cZ4gA/PHO8BJ88kw2F3oSFokBKhcORbRn42VdXIedz8PCScMQKOPD38aJMMpYeJUBRvQ67UqIpw6N9uDMLGW/8HddbO3C2RoVE/6F7uhd1han+bne77wL377ifLuzfj81mY1UUn9QnCY/Nl/LiSAY8KFcgrjQIX+zNRUFNKyqa9MiJFiGS54/LjTokcj3w2c5M3DH0QMTxw5KQINzQdEChN+Hp5GgHuUyhN+G5lTGUCZ/sE6tnywRoaGhAX18ffHx84MHh4gdHiijHyR9La6DQm6wyGwDatcPZsTTRHEHF3ey7rsy5k/Xv4OBgsNls9PT0TCqTOPOd+Pn54Ys9q3GhTotipQ6ZUiFyokXoUjdCo3CM7+vK9xwcHIyIiAg0NDTQtpXQP5Q1G1FYr0O2TIi0cK51X0HUc71tmNaqlTvYZa2fzWZjlZRPOYfb6giCg4MnTJhn22aJRIKLLb2Uuo2ieh28+01Qq9XWtpa2j1K2tVTZhtFOPdrb2xEcHDyh/DzRd3Y/9N2lS5ciI0pA2f5MqRB9fX24efMm5b2zHTabDXeemJRwFBif39pbGmfN2j8VgoOD0e/HpXz/Ezuz0E/Tdyfqt04pjWNjY/HKK68AAN544w2nGuvr64s9e/bg8ccfR0NDA5599ln8/e9/h6enJ7q7u8HhjFuzsNlsdHd3T1rn0qVL4ePjGDv3blJZWXlPNmC2RAm5eHKFHIDl1NffxxvJEXyEcFhwd3eHv483UqMEOH5FabXcqNZ1okplQEWTHhsWh+HX52+gYF++9TpxunymWoWsaBEypAL0DAyj6IV1uKY2Wsv8ZkMSIoLY+Oq2CqmRAmxYEmYNYzFRSAvCRap3cAh5C0Ln3Yn0ve67aZF8yt8yhMOCj4/PPe/TrvDapW8prxfWabEtMQ1RUVF3t0HTxP0wt1AxY333r7emv85pgPgNZvz3uM/f35b7tW9OxnT33Ym+h//9qIzyemF9G8xDIxCwfWHqH6RcH88rtPiXnCUQcnwxMmoRZN6vVGLnimiS1ZfFCyiAFFOQcMnPkYfgvJ0Fs4jDQiTP31JQMB6+h7atdTo88XiaK1/JhNyv/eZ+bZctMzXvztS7Wy3or4/1v9hI6z5P1dGDgloNSpQNyJAK8cDCUAg5LKg7e3Gg8BbSXv8KN/7tB6hoaqN07xcHsPB0cjQqm9vR3T8IN1jCUVFZvsVJuOgdGELlmGGELddbO3CnrQvlP3rQkkxXqceT09jfZ5LZ0GdtmU1tdRW634JrMpP6pJzPgalvgFYuKlRokR4lQP4CMV74pAJ/u9WCvWlyhKfFQOzjg0ieO0qUOlQ0tWPnimjECALA8fF02MsnSLiQBPo55Ym6UirCVZUBi0MkuKwyYNBI7bp+p60Li4SBSI8SIjtGYo0BSrd2ODOWJpoj7gecnXMnG4uqzl6cvdOKkgoFMqRC5MUuoo2h6sp3ojWZsUAQgIggNlheHvD29MCiRYu+V52utFXV2YsAljeSw4MRwPKGl4+Pg7Hfa5eo+4fFKpcsn9mPF8DSR+11BF7cXhorazFCA/1Idd6svEKp2yioUeOpFTKIxeOhJ5yVJUf8TdTycwALUcGc+0LmnKjvrokVU7ZfyvOHr6/vnJ6rD5UrqA8GGtrwTMrCe9Squ8d7ZbWU71+ibMPuVLnLfXdCpXFubi7c3Ohjf5w9e5b2M6lUisjISLi5uUEqlSIoKAhtbW0Qi8Xw9/cnafd7enpISmQG57B3EyrYl28NFp8Wycf2JBm2JESRTri3LpfiR59dwstr4kjhKYDx0xdVZy/+9fNK/GnLSsoTij8+lobnPipDnDgIf31qFV6/aElkMlFIi2tqAw48sgJSnv99tUmYL3QPDFH+lkefzLyHrZoaKRF8vFvmeOqcYpM8hIGBgeFuslouorSaiZdwcbBMgRgBB76eHpT3lje2wTw4jH3psXjxZIWja+We1bjaYsDyMB42vueYA8I+adhkLsN0bbWPT8jA4AwTuawPDY+QwklZkxjtzcXw6Cje3pyKKrURVWoDvm1wjHt5ZFsGZSi1Nzal4MDGZCj0XbjSYkC8hIsFwkDU6014KkmGf/mC2hKwRKlDta4TR7ZlQN/TN0PfCMN8xD654qZlEfDz9sTRS3WU5Yvqtfi6Ro3vWo04sDEZf7vVggQJDwPDo1Aauin37Kf2rCa51BPXv3o2D396PA2VLQZLCJcwHh5cHIaLdVrsTZUjIZSHBcJAPPvht3gpLw5b/lyIs/+wFq+cvkLZthKlDubBYbx/RYk/ltZY15Kprh3zJayFK0nbXPlOnE0s70qdrrTVvizxfPuy2dHU/SObIiayuxus8/81lQEJoTzES7iwDznr6e5GmTCPKjbt7hQ5pbfzh09nO5R1Vpac7fLzCEDZ/tPP5t27Rt0lqGJpA0B5ox7PpMjvcmvuPpeaqd+/okmP3amuv/+EifCOHTuGo0eP0v6biI8//hivvfYaAECr1aK7uxsCgQAAsGzZMlRWVqK/vx8mkwl1dXWIjY11ufHzHdukC1RWvusXSqBsNzmUqWs3obK5nfL04XJzOxRtJvQMDOHL2yrKMtdUBuxJlSNewkVbT591glXoTYgPHU+k91SSFGmRls9Wy4RIixTMqc3BbOKaajwcCfG7XG/tQJWaWsl/P5MpFSFOHES6RsTuZGBgYLgXEDH/bLG19LJdH+1JGEtC197Tj3gJ17puApY192qLAVqTGd82tFnjTNqSHiXABbt4mhMlPaJrq318QgYGZ7BPAJYWyUf8mMVvldqITcsi8PN1y6z9mu3tifbefvQNjUDb3Qe2tyd8PdyRHE5OijeR99qN1g789MurOFJRh8fiI3GlxYD9py4hUyaEv6/XhImjLyi0UOi7sIY5JGGYZmyTK7oB8PH0QCJFskdgPGn59dYO1Om78NbmFOTIQ6Dq6sU1muRVF+u08PNyTFZXcKcVP/rsMo5drod5cBiVLQZ8cbMFbxXXwDw4jGOX65H/TgHO1mpQo7Mki6xoakNS+MRtI+on1pKprh1USQInS8w3G3ElaZsr34mzZV2pk2irvVxI1VZn3yspPJiyf1CNgXO1Gqx68ww6zAPYmhCFDvMAVr15xiE2+JlqNWXCvK9rWh3qvEyj26CKBZ4hFVK2NUMqIF2b7fIz/e/s+P3NNdKjBNTXpdTX5xrZ0dR7nBya/dFkTGhpHBoaCgAYHBzE+++/j7KyMnh6eiI7OxuPPfbYhBU/9thjePnll7Ft2za4ubnhF7/4BY4dO4aIiAjk5eVhx44dePLJJzE6Ooof//jH9zzsxGzEdmIlrHxtw1GcV2hIpwxEGTmfg6J66oX6Yr0WKeH8Ca2Gq9RGbEmIwkfXGlCnN2HtQgnyYkJwtlaDX29IonSDCOeQkxxSJQNiFMozxy1tJ63LzmyD6+dFeTrNZXnd66YxMDDMU+ytzJIj+Iji+eOZ4yUAgLJGPV5dv5zSzXJllAA/WBqOM9Uqa8Zv27AUhCXyMylyWpf8cgqLCrqks/ZtXR0TguxoEbMGM0wJYi9qHw6trFGPpDAeLtZrEcMPwMGt6ejqGwDX1wtwc0dxvRYVTXpkyURYHh6MgaERB/d+Wu+1sb3s+1eU+KiqAVuXR+EfMxdY+/BkiaPjJVw8t5IxVmGgxlUZpa3bDKN50Nqns6NDsCQkCHtPfIsPdq6aNHREZYsBKRF8fNvQhrULxPjvguuUzylW6kiJ7QhKGnTW8VDepMdTSVJUqQwob9I7lCXGzmc3mvF8WuykbQPG15Kprh1USQJt650ruJK0zZXvxNmyrtR5U9NBHaayRuVwv7PvdahcgQMbk1Gj67TKZwuEgThcrsAvH04k3VvX3o3aVx5BUb0WJ641IF0qQO0rj+DE1QbKZ9snzKP6Ti/WOyq8AaCwToNtiVLStcHhEUpZcnB4hFRutsvPN7XUv/PXFL/zXCOOJozVUjF3grvmDrkx1Pug1fKpHZg7nQivr68PW7ZswcjICE6dOoU7d+7gJz/5Ce093t7e+N3vfke6lpg4PmFs2bIFW7ZsmVKjGSzYugkp9Cbsz1mMH2Ytwmtnb+D9K0priAoChd6E7UkyvF9ZT7puS1JYMAJZ3lDoTfiH9AWUwecTw3j4j7FEPIQ7y8ldOThTrQbHxws7/1rs6FL19Lgbx3xxU7qfoHXZ2enosnO/I/BnYWQU6B0chq+nB8K5bETzOfMiEyoDA8P9C2FltiUhCt/UqK3JXwmeOV6CM8+vwZWWdhTV66wu9cFsH0rXTyKBLJHM6JnjJTiyLQM1uk5UqY1IiQjGuoUSVDRSu6BN5DJs21YGhu8DsRc9si2DFA6N2B8e2JiM/HcKECcOwtubU+Hl6YFHD9smhBzPWv/25lQ0GXtwXqHBuoUS9A4MT5rgKzVCgBNXG5ArF1qzgos4LJx8JgfFSh1KlDqr8oI4xGFCsTDQ4aqMojWZUac3kVzAiT59YGMyct76Gh/uzEK1rhNljXrrvE/0RYAIY1SL8iY9rv7zQ7TZ7TOihHin9M6k1wl5jwpi7PxDRiz+v6+/Iyn5MqRChAWxSW0DyONlKmvHfAmJRJ+0zdGyz5XvxNmyrtS5O1WOrUcdw1Se2JnlUNbZ91oeykX+OwVIjbAYnx27XI/yJj2O71jlcO9TSTL84L1zYHt7Qs7n4E/f1uL3hbfx+Z7cKT0bALJkIZQhJ6gsLhV6EwJ8vSHy90VqBB9BLG/0DY2grd1EUirOdvl5T0rMrG7/96GurYvyEKNeb6KdY+cSIyOWEGA3NZZIAivCg7EkJAgjI6NTqm/C8BQEVVVVeP3115Gbm4s1a9bg9ddfR0lJyeQ3MswohCXFNooH+QAAIABJREFUhiVheGNTCvoGh/GHottIixKgYF8+mjt6sVAYaHW/KGvUY6EwED0DQ6TrBHHiIETzA8D180F0MIfWzYQqEc+ZajU6zAO41KSnDrrdOO4aMl/clO4nLjdT/y6VLRNn9XUVrcmME1eV2PdRGU5cVUJrMk9r/QQiDgtrYsXIEXpgTayYOWxgYGC4ryAsHGzh+XnD2NuPOHEQXly1EKUNOlQ0teF8LfWaWKPrxJOJUYgfsyRWdfYi/50ClDbo8OKqhThYpsC3yjasiOAz4SYY7hk58hBsT5ROmgj5emsHbmo6cEvbQVmuqE6HwjotAny9YB4cxm/P37Im+LLF1hIyThyEKJ4/LjXrsTKcLASyfTyREMpFMNvH6p5PJJRkxgYDHa7KKNfVRtpwEg0GE8IC/ZDxxt9R2tCG/1i7DKUNOmtfBMj9OS2Sj2JlG+Ip1g8iDFvv4NCk18sa9dZkkfZlFwgD0Ts4hBx5CBqN3ch/p8Aa1iIhlIv9py6RwiBNx3iZLyGR8mLFlO+ZS6G0deU7cbasK3VeoUkWepXCu4N4L9sQB1TvRTy/vElvtXqne35FYxsObEzG9iSZ1cPqwMZkXGpqo3y2/TtRfacraPQWVGFYFokCsf/UJfz2wi1cqNPitxduYf+pS1goDCSVow15Mc3y80xxt+T/+5GVUiH2n7pknd+OXa7H/lOXkEYTtmKuUXCnFavePIPDFXUwDw7jcEUdVr15Bt9MMTSJU5bGYrEYjY2NiIyMBADo9XqIRHNrop+NiDgsnH42D939g5SnhUe2ZVgtkxoM3bjUpIextw+f78lFWYMOh7dl4LraiNKGNuREi5AYFoxDFQokhHJx4JFk/Pb8DdIJTY48BAtFgZSJeK6pLEl66IKOX1S24ckVlqDb88VN6X6CbrNL5bIzVe6FBbnBYIBUOj3tZ2BgYJguCDfe87UaXKjTIiWCj0ypEF4ebugZGEK1thP7c5ZAzGHh53+/RllHldqI3z+SjBpdF97clIJrKgNSIwVIkHCx/k9noersRbQgAHs+KCWt1UnhwXhocRhzmMZwVxBxWHhjUwr+/W/UyecId/jyJj0uN7cj1Y06aW2xUofH4yPx4bUGvH9FCQB21vUG5ESHYHkYD4cr6nBkWzqWirloMnbjzPNroFXWAsJxCzF3N8Dfxws7k6Mh5wdgmYSLHLkIq5lwaAwT4KqM0tzRSxtG5VJTO/5rfQI+utaALQlR+ENRNXalxCA9Smidz23DGBEhWe7oOnF4WwauthhQ3tSGBInFQu6Jo0Xjc73agLwYMTKiBKhSG3F4WwZutBpRqmzD6pgQxAg4pFAS6VIhloqD0GTsxodPZ+PU9SZ8vicXhXUaFCt1yJSKIPC3rFtna1QoUuqnLXTRfAmJFBroh9PP5uFcrQbFSi0ypSLkxoQ4JJYDXPtOnC3rSp20cqFCiyeWk+Wq0EA/nN6bi7O1GpQodXh+ZSzyKN7LledHCwKw63iJg+7i8LYMx2c7+Z0eqnA+PIZ9KI0dK2RYIAzEoQoFfvVw0vj34ULIi/uRuyH/36/4epKTKO5Lj8UqmRC+no5JFOciRGgX+zBFxUoddqyIdrk+p5TGQ0ND2LhxI1asWAEPDw9UVlZCKBRi586dADBpUjyGmUFrMuPlv11BWpSA1rojLNAP+e8U4Mzza0iZEu/ofPD7C7fg4+mB/qFh/KGoGktCgvAf65YhPIgNAFgeyiO5mZxXaGDqH6RMxJMQysOVZgMSwqjN/bNsgo7PFzel+wk6954M6fQlj5vIOoM5DGBgYJhviDgsPJEoxRMUG3Nb90da90uZEOUNbfjBoQvWdTjI1wsvnKyAqrPXktBEbcTZWg3O1mqsZY5U1CHA18tB8GNgmCkCWd5YLad2DbYNJbEiPBiiAF/KOjKlQlQ06UnjgbCuT43g47/WJ+DE1QacrdVg/UIJPNzd4eXujo1LIwAALYOD1rpsD7FTI/hYt0CCeEkQ1saKwWNTP5+BAXBdRgkP8oN5iFr2SQzj4cTVBvQPDePE1QZkyoTW/rxuoQSBvl6kMEa2YQRjhYG4pjJgS0KUNSQgAOv9Bx5ZgbRIi2wVaiO32SsD7ENJEG7ZsYIAAMCOFdEO9yT6D+HJx9Nov6OpMF9CIoUG+mHHCplDvF0qXPlOnC3rbDlX+rnWZMZDB885hB6iMgpy9vnXaazzb7QaHUIHOPuduhIeY0lIEGXZI3ZK64woIQ5SrGvTKT/PJHdD/r9f+bpGg6feL8buFDmSwixJFHd9UIr3n8qcF/tj+tAuU/vtnVIav/jii6S/9+zZM6WHMUwvFxQauLlh0kQhvYNDju4aEi6+ayVP2L2DQ/D2GI9YYutmQmxWnkmOpk2a8MLJChSlrKP8PD0i2KFe+zJzzU3pfmK6g6FTwViQMzAwMLhOHs38nBMtQuSrJwFYLAV6B4fwTIrcuh7nyENQ2jDuymm7Vl+gsBZiYJhJJks+FycOwpKQIIgDWNT7RKkAmw7fxOm9uQ6f9w4Owd3NDYcqLAIQ8d/n0mLwRwrllu0htu24CGb7MvsRhglxVUaJk3Dh5+1JeU80PwD7Pi63/v3zB+JJclXBvnzSfWWNevxmQxL+9K0ljOCfvr2DJ5ZLHUJS9A4OQcrzn+5Xt9LT0zNjdTPcH7jSz2fCKMh270K6rmybkhUkQK23oHsnIuyFfVn7sBd0+7PcaZSfZ5LZ3v7vQ2GdxUrcPonifNkfT/dv75TSOCEhAfX19Vi4cCG++OIL3Lp1C7t27YJQOPdPKe5nziu0EyY7SI0UIILLRpw4aEouLFb3WoUGFxQW99qQABa+fDYPxUodztdqkBUtwvIwHo5U1OH9pzId3KGIem3dBueLm9L9hELfhb/tzcV5BeGGJsRqeQjq9F0IG7NQ+L4wFuQMDAwMrhMaxMbpvbk4ZzM/58pDEODjidL/9wAKFVpEBfsjI0qAssY27E2TI1MqxLoFEnx5W0U576ZEUIcAYGCYKez3dtnysbBn5Qq8u2UlMmVCcFlecHcDPnw6G8X1OlQ06ZEdLUK6VIA7ui6r5ZqtO3KWTITkcD7W2CWWBOj3F8whNsNUcVVGEXFYDn06Ry5ClkyEypZ2PJcWQ6rDtu6egUGcfjYPJWMy1eqYECwSBaLwn9bhSks7Dm/LQF1bFymc4PJQLlbHMLk8GL4ftn3xXG0rcmPEtP18JubTmZAZiXe60dqBJmM3Irj+WEqhAwGcD3tBtz8LnSbZeaaZ7e3/PqRE8PFumQJpkRZrcoXehLJG/bzZH0/3b++U0vhf//VfIZPJMDAwgDfeeAMbN27ESy+9hEOHDk3poQxTR2syo8nQDU8PDzyyNBzvltXi1fXLKU8SHl4cCn8fLzS0m/DlLRXCgvwQJ+aiwdANDzcggudPciEhkpidV2iRHiVAnISLZmM31saKHU5k7F1PXrOLFWT/OeE2qDWZcUGhwXmFFrtTovG7jSvg5+1UN2T4HgwMjWBgeAQbl4Rha0IU+gaHoO8dwMDw1DJoUkGc8BKZcBV6E3oGhhgLcgYGBgYKDD39UHf1osHQA19Pd2xeFonNyyLRaOyGaWAIN7WdUHX0IjGMhzgJ15IA1McT8RIuvm3Q47xCg9wYMeX6nyljDvUZZp627j58dVuFEqUO+bFirJQKEeTrjeSIYLC9PeHr6YGfrFkKrcmM4dFRFCq0iBYEQNtlhsDfBy9kLoAkgAUe2xeR3HHLSXt3ZK3JjJxoEdzcYBX84sRBWBMjtt4jFo//P51C4rH4yBn8NhjmCq6GUhD4syDwZyFWEEAKBSgJ9MOGJeEALH34mxo1mjt6sSQkEK89nIhAljeAcZlJazLj6xo1ziu0yJAKIBcEoFoziorGNhh6B9A7MIRipQ4PLwnHsct1KK7XIUMqxPpFoRD404ddMfT0405bF2rbuhAjCECsIAA8tg9teTZ77iuUpgqPRx2KhMBWzl0tFyFnghjqqs5e3Gg1Qt1phiSQhaViLmWsXqLeJkM3zEMjYHm6I4LnT1mv1mTGdbURzR29CA/ys+4dqCD6+YYFIrBY9IcQxHxqr3yjC2XhzPNnUmbU9/ShvKl9Uv2Cs2EvQoPYlGFcZhMPLQrF48si0Ts4BPPg8L1uzl0hRx6CohfW4ba2E5ea9didIsdvNiQhJGD+HLgRfXd7ohTu7u6T3zABTmnrWlpa8Prrr+PXv/41HnvsMTz33HPYvHnz93owg3PYLj4vr1mKkZFR3NJ1olTZhqxoEYpeWIcffXaZFMx9/aJQrAgPxpkatXVDkRsTglvaTnT2DeDT601YGhKESJ4/brV2QNXVi4WiQGywiVdEJDF7a3MqGgw9KKrXIYLnbz3pploIjb396BsaweVmPU7fakF2dAhyYyxl2Gy2NcacoXcAR7Zl4HKLAe+VK5AVLUJyBB9clhcE/vNnIN9NEsN4MA+NoFjZBo3JjBAOC3ESLpaHcie/2UkI66Czd1rHEyXEMtYQDAwM84OJhEWtyYxztRoU1mmQIw9BepQQxUodLtZpkBzOR16sGJouM7oHBjE4PIr+oWEo9CZUqQwwD/Hg5+2J0VHg376oxPtXlNiTaonRVqrUoeD5NShS6nCmWo2EUB7iJVwE+3lB1dmLs3dacVPbgT0pclxubkdhvRYZUULkxYpphVMGhomw7efLQ3mIEQTgq2o1ti6X4qF3zzooAd7enIpIHhtf3GxBlkyEJ/9S5HDIcWr3ani4u+HcWKKl9DFvKC8PN/j7eMLL3R3rF4WisE6DPalyHH0yA76eHjh9uwXF9ePlG43d8PPycHC9Dg30wwc7VqHR2IN9H5VNqsxhYKDDy8vLOgauqozYnSpHZXM7CuvI877tOMmOFiEtkg9VlxlljW0IZHlBEuiHUzeaUdqgwyqZJUHjr87ewJslNQDG5bATO7Pw+8JbSIng49G4CAT4euGZ4yU4W6tBaKAfti6X4vMbzajVm0htyY4WITWSDw93NxTV6bBEHIQRjOLIpTokhfHw4OIweHu4oUplRHvvAFZGCVCi1KGwTotVUXxwTWZapaSzStG5xPh7a7C6A5Tv7UpCcE2XGY2GbtS1d6NKZUB8KA8cHy94uLk5KLXae8zoHRiyyv/pUgH4/r5o7zEjmD1etq3bjDq9CXfs9g7ubqCUr1UdPdbkdhlSoSW5HYUVYm6MRfl2TW1ElcqA7Uky/GZDEmIEHFI5V57viszobJ9zNSG7s/WqOi3JLgn5OT6UN2v2T9ouMwaGR1ClNlrbv0gUCG2XGaI5rjz19fTAP35SbtMfLLG4v3w27x637O7h7Bh3BqeUxsPDwzAYDDh79izeeOMNtLW1oa+vb0oPZHAe28kvLZIPN7jh0cPnHQLRf7gzG78vvIVH4yKQFxMCH08PPEwRsP7krhxsOnwBb21ORf/QCD693oyrKgOyZCKEBw3B0DtAer6hdwDhQWz84L1zOLAxmZTl1H4iVnX24rxCg6I6LeJDediSIMUzx0vA8/PG4W0ZuN3tiRV9g1aF8f5Tlxza9/bmVAwMj86aiXg2MTg8imZjDxqMPdbNSRDLe1pjomlNZjz07lmnEiUwMDAwzCUmElYAkD7bkiDFD96zrNGhgX7YkiDFmWq1ZT2OFiFTKsTeE6U4WzuetTtOHIQPdmZh07II/M9Dy1GlakdokOUg92d/r8IqmRD7cxZD192HaD4H/UOj1vm4YF8+thy9OD43j22cTz+bx6y3DC5h388BjO1Ds1DXbsKBjcmo1nVaFQvxEi5COL7o7h9CaIAfyhrbHGJjGnoH4OHuRtq3flWtxgc7VqHB0IOL9ePK6S9vq/FumQJFL6wjCYPEfuPTXTmobTM5hEr7cc5ibPlzodPKBAYGOgJCwq1joGBfPmW/Ov1sHmk/TFw/sDEZB8sV+Pe8paT+Tigzju/Iwsa4CDxzvASqzl5cb+3AuVoNvlN3WMuc2JllXRvefyoTL56soG0LMU4cZDgAeTGN+NOWlbijN+E7tREd5oGxMaaiHR+uKuXmCo7vTS3fuBL7t6tvkDSHAbDK9PZK456BETx6+ILDfPf5nlwE2+h/jGaaOp/OdlDaqjp6KJPbnd6b66BUGhkFZb3E/mYqz3dWZnSlz52rpf7+zys0Dh7TztbbOqbct5ef3d3cIJ4FStehkVG0dpkd2m/r2TNXKazTUvaHi3VaygTVcw1XxrgzOKU03rNnD7Zs2YLc3FzExsZi3bp1+OEPf+jywxhcw3bx2ZMqx3maxaiiSY8/Pp6GL24247cXbiFDKqAsV1yvQ3I4Hzw/H2w7dtFhojyyLYOUxffkrhx8dVsFtrcnqnWdtAthdrSINPEDINVX1tCGY5fr0XvhNk7uykFFk56yriq1EbruPrBkQia79TTT1U+9kJ/YmQXxBPe5wkwkSmBguNt4/POx8T/+esupe4Z/t2OGWsMwW6Cb/260dkDf02f9LC2ST1pP7Q9RbZULtkrj660dKFW2odnYg/88U2U9BKYTeI5eqrMeONOt3+dqNU5leGdgIKDr5wq9CckRwdhqczgBAEUvrIPG1Id//KQc8RIufD09HOo88/wanK1tJd13ZFsG5Z7lyLYM/Oyrq7imNlK2o6heh/AgP1SpO7AmVmx1+z9xVcnsTximhZLGdifm1lb4eXk6XK/Td+Gz3TkoqqdWZlxQaFDaoCPJY0RS8/Ix2alE2YbUCD7c3IBGQw/Y3p74+bplUOi7SHWmRfJxTW2kleFeyovDI4fOU46x/HcKKMfHfN3nO/veROxf+zAOVLF/i5XUfaBYqUOsMIB0nU7+L1RosCN5PGRCMU2/Kq7XIVZArvMsjYL1nELjEIbB2fd35fnOKnhd6XNE4jN7qBKfOfv8rr4Bevl5FiiNuwfo5f+5Dm1/mCdKY1fGuDM4Fdxiw4YN+Oabb/DKK68AAL788ks8+OCDLj+MwTVsA89z/XxQqtRRlitSWsrd0nSMuatSZyQtadDhwUUSlCp1lJ2oRteJ1LHg4GmRfHSYB3ClpR1yPgdVKgNlnQ3t3bQTOlEfseG53tqBTvMAbV3XVAZL3C29ifJzhqlTXE/9m5fQ9JWpMFGiBAYGBoa5DN3812TsIX1mu55OpHSwXY8JKsYyfLO9PWmVDoV1lmeVjO0XJlq/i5XUbWZgoKLTPIDzCur1vFipg667j9Qn0yL5aDWZrQpehd6E+FByPNC0SD6GR0ZJ+9bJxsW6BRLaPl3SoIO7mxuajT2k68z+hGG6KGqw9NWJ51Yd5HyOw/XKFos89G0D9d77msoAN7iR5v+VUQIobOSiiiY95HwOHouPxBJxELYnyRAW6IcrLe2kuoj2UbXT2bXHfnzM13Hk7Hs/uEiCgn352J4kg6+nB7YnyVCwLx8PLg51uJdYz525Tif/FzeQr7tSZwldnRTXnX1/V54/kYJ3Ks8G6BMAU1139vl3Q36eSWZ7+78PyeHO94e5iCtj3BkmVBo///zzAIDc3Fzk5eVZ/61duxZ5efMnHsi9YrV8PBj8V7dVyJBSJ7bJlApx7FIdxAF+yIoOQbpUQFkuI0oIQ+8ALjVTT+qEchewbDYqm/WID+XBx9ODdoBlRYtoJ3SivoRQHhR6E9Ii+egdHEJaFHX7EsZcJi7S1Mcwdeh+c7oFfirY9lfS9e+RCZeBgYFhNkA3/0Vw2aTPbBVnEykdbNdjglUyIc7UqCHnc2gPhwlBitgvUCnqCDKlTJJSBufQmsx48WQFbZ9JieA79Ek5n2M1FCAs71Ii+IgTB5HKNBu7sUomIl2baFyMArR9OiNKiJHRUYRzya6XzP6EYbpYNSbDTDy3CkmKXoJ4CRenbjTTjiNCXiLm/zhxEFaEB6N8bK+eFsnHzhUyRPP9kR8rxq7jJXjxZAXeK1dgmYTcFoXehLULJYjmc5AUHkz6zNm1x358zNdx5Ox7J4Xzsf/UJbx4sgIHyxV48WQF9p+6hMSwYId7s2TUdVIlgptI/iffS/075FC039k66doEANl29bryfGcVeq70uXSpkLS+ABarWiq9iLMK5rshP88ks73934dMGXV/yKDRk8010unGeNTUEmVPqDROTEzEZ599hhdffBEvvPCCwz+GmYVI5AEA75UrsIq28wvxzAel2PVBKbYdu2jNpm5fLlMmRGGdlnazkhUtwiNLw7E3VY6NS8MRKwjAAwslSAoLRmJ4MGWdYUF+tBN6YhgPoxjFMgkX//3gcmxPkuH0rRakRwko64qXcBHk54Oo4LkfZ+duQ7uQT0OWWmtdNv2VIE4cNC2ZcBkYGBjuZ+jmv6XiINJnZY16LBQGIk4cNKHSISk8mKR0iBMHYZEoEOVNeij0JtrDYUKQyou17ANsn2ffttw5LugzTB8XFBrUtZuQRLMXXCwKRCDLi3RdoTchJICFH2UvtlreXW7W4+SuHBx+Ih3/unoJfpa/DPqefiwRB1nrnWhcJITyLAkfJVzKdqySCeHj6eHwGbM/YZguMiKDnZhbxegdHHK4vkAYiJ98eY1WmbFAaJnjUyMFeGRpOD7cmYWffHkNoYF+KNiXj50ronH0cj1iBYHw8nC35qKxb0tooB9eXb8c5sFhqDp6sUomIj1PoTdRKjIBiyzY2TdIOT7m6zjKtPv+gHH525aLNDFUi+odjaGyo6nrzJI5KnRyY6i/99Vye6U19fxM9Vs7W6cr9bpSp7MKPVf6nLe7O97enIo3N6Vgb6ocb25KwdubU+Ht4ajuovtNM2VTV8Tfj8z29n8fAny8KPtDgI/X5DfPAVbTjR2K8egME8Y0bmhoQENDA5qbm9HY2Ijs7Gy4u7ujuLgYcrkcjz766JQeyuAcIg6LlMhDoTfh9N5cnFNoUazUIlMqRIZUiCeOFlnvud7agetqIz7fsxqFdVoUK3XIlAqRJRPhlrYDL6+Jw+DwCCmrNGDpROIAP/z0y6uQ8zn47flbOL5jFTaOxbsKDfTDkW0ZUOi7cKXFgHgJF/ESLjAKrIwSUta3flEYYgSBGBkdxf5Tl6wZtf/9b1fw9uZUNHX04IJCi5QIPlZGCWDo7cdrZ6/j2PbMu/o9zweyxjYn9r/Rqmnc6Nn319UxIciOFs3p5BgMDAwMAPX8tyZGDB7bBwBw9MlMXG81oqhehw5zP77Ym4sSpQ4LxgR9+7l5Tawl2vyysbXWklDMMpf2DAxZlQD29xGCVGigH04/m4dzta34ukaFD3dmo7KlHYV1GmRIhciNETNJ8Bic5rxCCzmfg0+/a8TJXTkoqdehuEGHjCghMmVC/E/BdfwkPw5vbU7Bscv1KGu0WDHFhXCx4b3xRCwot/TT97amIy9WbM2HYb/HJIQd+/6dFiWAv48XuCxvfLE3FxcUGss+N0qIbHkIRjGKGAHHIekSsz9hmC66NM3WvlRQo8aHT2fjSks7ChVaUr+y7W/JEXxE8fzxzPESAMCWP1/EF3tzcbFOi4t1WiSE8rBAGIhnjpdYLCOjBDhxtQHJkXw8sTwK//lAPGUy8iPbMvDBVSWSwng4U63CgY3JaDB0Y3kYj1SeSCypNHRbn7d2gZhyjEl5/vjNhkQEsrwdxsd8HUc3W404uSsHxfU6lNjMe7c0HaR11JWYuk3Gbvxtby4u1GlRXK9DpkyInGgRmjt6HJJUVba0Uz6/sqUdYTZlD5UrcGBjMjrM/egwDyCI5Y0glg8Olyvwy4cTSXV+er2JPIdKhciRh+Cz6014YdUiUlmi3hpdJ66pDNb+al+viMPC6WfzcEGhQVG9Dqtkljqp+keArzfe3pyKKrXRWme8hIsAX29SOVf6HMfXExoTIAlgwceDj+Cx/RfHx1HdxWV5UT6fa3f4SSs/01iK329kyah1NKtorFDnEl9Vq7B2gQSdfQPw8XSHOICFCC4bX1WrsDs15l43b8bx8XDHp7tycFvbCY3JjBAOC4tEgfChOERxhgmVxr/85S8BADt27MCpU6fA41lO/js7O/FP//RPU3ogg2uIOCxrIg+CHStk2LFChmOX6hDzi88c7vniZgseXByGHSv8sXlZJDRdvWgwdOPVr68DAJLDg/HOY2m4qjKgSm1ERpQAoUFsa7be8iY90iL5pKyTqs5e5L9TgNQIPv5rfQJOXG3ACycr8Mkz2egZGKJcTK62tIPH9oWqs4eUUTt1gQB9QyNYKAzEo3HhaOnoxSdVTYgK9sex7ZlzfvNxL7g2tuEoVbZZNwfpUgGqVO3Tqjig6q8MDAwM8wHb+U9rMqPgjhrnFVqslouQFinAmhgxloYEobmjBzdajciSCXFeocUHO7JQ0aRHiVJnXT9z3voaYYF+pPX2yLZ0XP7Rg+BzfPGdyoDD2zJwo9WIUmUbpSAVGuhHSnYRKwzAtnmQ/INh+lktF+EPRdV4KS8Omw5fgJ+XxQjgRmsHUiP5yI8V49fnbiAlgo9jT2bC18sDVWojCu6oKS3vDL39qG3rot1jHh5TUqg6eix7FpkQaxdIIOKwsNzGCnnHimhrH1er1ZBIJLTvwOxPGKaDwcFBh74UKwhwUAralvniZjMp0XhlSztePFmB97dn4uHFYajWduLIpTr86uFELA/j4UiFAnFiLoZGRpESEYyyRscE4obeAYQFsrBKKkSxUod0qRCyYH/w/b1xpdlAKq/q7MWqN8/go51ZkAT44djlevzy7A0U7FuDi3VaXG5ut649Txwrwq8eSsC2JOpESfNxHAk4LGw6fAEpEXwkhfFQrNThQOEtHN6WQSqXEsHHu2UKh/upQiH8+bIS75bV4tDWlXgxcyEuN+sR+epJPJcWgzQ79/Gvbquw6XAhdqfIkRTGQ1G9Drs+KMWzaTHYuDTCWi49yvIcfU8/KpvbkRQejCCWD6VnktDfF1GvnsR/r0/AlvgoVDTpEfXqSRzfscqh7PJQrnV+lvM5OHa5HuVNeoeyWpMZD7171ro+vFVcg9+cv2mVRKJYAAAgAElEQVRN0GuLOICFkdFRdPYNjin0/BDJ86dMLudsnxP4szAwPAoACGJ5w8vDHZE8f4dDRNuytgpFqrJ3S36eKb5taMOBjcmo03fhcnM7VoQHI5ofgLLGNmy2O5yYa3i6uyPy1ZM4tHUlUiMEljF28CSObEu/1027K7R0dEMU4AejeQAVTe1YJRPCy8N97LrrurYJlcYEOp0OQUHj5s0sFgttbXM/gPb9jrcn9UkB4Z6qNZmx7v++wfXWDhTsy0fv4BCut3agvEmPN0tq8GRiFH6+Nh5DI6N44thFqDp7rXXkyENQSpGoobxJj4+uNaB/aBgAYOjtR3mjHgfLFQ6Lyd5UOR5YKMECYSDpxBsYz9z5w08vY7VchKdTohll8QwSzvUnCXpvl9Tgtxdu4uiTjFU3AwPDOB7/fIz6g7/eor1n+Hc7Zqg1sxPbtRcYtwo7tXs1Lje3o6LJki8g0Ncbq2RC/Oyra1gkDIR5cNi6fgIWQd92vS1W6rBQEIioV09id4oc+QvEeGhRKDbIg0l7NAaG6SZHHoLTt1RoNHQjXsKFiMPC9kQpWF4e2HL0ok1fVyBOHIS3N6fig6tK+Hp6UNbX3NGDiqZ2h+vEHtM8OIz8dwrwP+sTkBcrRlqkYNI9Ymtr64RKYwaGe8UCwbhHSWigHz7blQO2jydOXGtARVM7sqNF+NnaZThb24o9H5QCAFq7zDhTrcYvH05EUb1j4qIj2zJIY+9guWXsfflsHm2ivTM1apgHh61rzIHCW5Bw/BzWnsJ6Ha3SeD5S19ZlNX660mIxjnpiuRT1ehPpECuTxgPIPuQBYDmIe7esFrtPfEu+ThE2Kjs6BO+WKXCoQoFDFePX7UMMJIXzrd4bwHifOP2sYx4qIuzDT7+6RmorVdgHomx5k97aR6jKXlBorM8ut4mZW1inpVT4hgb6Tavita3bjEZDN66pjahSGaxhjrw93ByUwfYKboXehN7BIQcF92yXnwvutOJguQJ7Ui0HDpea27Hv43LsTZNjc3zUvW7ejJI3Fi6lpKENfUPDqGwxWMIHTTE8w2wjJJBNmg8IWYRqPnAGp5TGOTk52LVrF9auXYuRkRH8/e9/x/r166f0QIbpI4fGfY+YxG0n72eOl+DItgzU6DpRpTYiRy5CagQfRfU63NR04PiOLFxVteNinQ7xEi6SI/i4TBM8PSGUh2OX6wFYTvJWRPBxsFxBWkyIcjVtXejqH6S0NDlXq8F3aqO1E3/4dDYOXLiF1XIRrTsLw9S40dpBuZDf1HRgmYR7r5rFwMDAMKtRdfbi7J1WlCh1yJAKsX5RKGntJbje2oEzNWocqagjCV0f7szGQmEgAljeeP+K0qF+2/U2UyqEuzuwN1VudaV0cwPq6uqQlJQ08y/LMOfRmsy4oNBYLeSJvZiIw8JrDyfi79VqsLw8sSdVjv8puI60KAFlX69SG+Hj6UEbmziI5Y3EMPq4xUSfDwtiQxbMwR9LahzcqxkY7jfoxk+Ar8UVXqE3ITtaBFVnL3afKHU8WNyzGmmRApQ36lFUr0V8KA+9A0PIjrYoGAnSIvmo1nXSylablkXgYLmjxavt2AIsa8ofS+6Q5AIAyJoniaKcJVoQgF3HS6xhFt+vrEfPwJCDpbGzIQ+AyWV4W5LHYgrbl11hl+CwuJ46pnKJUuegtLUN+3CuthW5MWLasA/ubqB8L3c3crnzNInsz9dqKJXGdOPFHvt9Vl4sdXgto3kQ//hJucP39OHT2Q5K43O11Aru8woNyWtgtsvP+bFibF0uJR14FOzLh7G37143bcbx9nDHF3tzcb5Wg5IxK/GfrV1GGeN6LlKooJ4PLtZpp+R16JTS+OWXX8aZM2dQUVEBNzc37N69G3l5U9NSM0wf9nF+Vkn5yFsQap1wbSdvW9e/Z9NikCDhQmnogb+3JxYIAtBi7MHaBRL0DQ7jYJkCL5ysQMG+fMpFikjUECcOQhDLBwmhPNpyf76kQIOhh7L9RIbe8iaL29XZO60kJTKVOwvD1LhYTx1nq3CKEwcDAwPDfEfV2etg1fNS3lK09/RTlq9sbreueYBl81as1CEtko9RuE263ubIQ7D1zxetHj3X1Ab83+MrZ/5FGeYFdBbyZ55fAwB4cKyvp0XycbZWAzc3oEploKzrmsqAvsFha3Iu+34dxPJBEMtn0j4v53OQ+r9fUrpMMzDcT0w0fkICWBgeHUUEl43LTe1Qm8zUB4vVaqRF8vH0WOxjAFYvFduxIudzaMdekVKLVx9ImHBsEX/nxojxuwtkL6I4cRDSI6iT5M1XbC2Nq1QGbE+SYaEw0MHSWODPwsgo0Ds4DF9PD4Rz2YjmO8ZYB1yL1XtwLFyPfYiB98rIMYVdVdoSYR+SA0chlTp+TnCuVoMn/1JM8ih+YSw8hW29hPW0PVTW0xONF9vvgGqfRVhL2iuO6ZTmxfU6xAoCSNedjT892+XntCgBHj54zmEu+Nve3HvYqruDeWgEP7DJqUD0nc/3zP13B6a/7zqlNAaAdevWYd26dS4/gGFmsY3zU11dTZpoqSbv8iY9fpS9CKdutOCVL68iNYKPd7euxGtnr+OjqkakRvKtGwrCOrnJ2I2yRj2yZEIsDwvGkQoF3tyUgnULJXi98DYSw4Oti1lli4EUIzk8yA87Vsgo225/4m2vRKZzZ2FwHVfibDEwMDAwTM7ZO60OAsoFhQbPr4ylFJzs1zwAllAVEi4ePXwBH+xYhQajJVFRTnQIlofxcKhCgSPb0rFaHoJ9H5WTPHr2pcei00ytoGZgcBU6C/kbrR3Q9/Q5KKwUehO2J028v7P3cksK4yGaH2BNCEbsMcsb9ciKFo3Fc63D0SczEMFlY8vRi7TWdwwM9xN044eQZUID/VDW0AaDuZ9W4VvZ3A5ZMAepEXzS4WLBnVac2JmFKrUR52o1WL9Qgp6BIUpr4owoIS7WaXBoazout7TjaosBq2NCkCEV4kpLO55Li6FN2Edc1yprAeH9b0V5tyAsje0Vb/aWxgCsnhnO4GysXvuYwofHPJbsD9NcUdraYjAYIJXSK5EIZbSb2/g/wFEZ7Yr19GTjhYBqn0VY1NvrFyqaqD2kK5r02J0qJ11zVi6e7fLzBRpr08I6Le36PVc4T9fHFBrsSJ774Xemu+/OD/vseUJPD9mil5i8bSEm7yieJfi5m5vlxOGvVxrwXoUC0mCOwz08Px+kRATDx9MDPQND6BuyxL7KeetrvLQmDt826JD/TgEOV9Th33KXIDc2BPtPXYKqsxdljXrEjsXysm+H7Yk3YBEyFHqT9e/ztdQnJAyukx4lpPwNqJIjMDAwMDBMTonSMc5kWaMecRKuU2seYIlJaB4cwq83JCKY7QNjzwAei4+CXBCAr2tasTZWgsRQHl4+fQVfVatI9WXKhDhT0wo2e24nM2G4O9BZqTUZe0ifKfQmxIfyUNaot1oS2xInDkK8hIvyJr3Vy620QYefrV2GwxV1yH+nAKrOXutnYUFs/PHxNGxLlGKhMBA/XbMUIg4Lf61U4rc/SGK8zhhmBRNZeRIU1mkRyPKmFdoTQnm43KSHnM8hXb/UpIeHmxu2JEThVw8n4uPvGpEupd7XZ8qEaOsZsCRPrajD0ynRVqX1hiXh+OPjadiSEGUdU4Ti0vb64ODg9/kq5hzX1UbaA7W7gW1M4fevKK2eGPbK2Ink/u/Dg4skKNiXj+1JMvh6emB7kgwF+/Lx4OJQUjniEOL4jlV4Li0Gx3esop2/nRkvAPU+CwCKlY73Z0dTK8ftYz8DzsvFs11+Lqqn/p4v0lyfS5TS9Z0G6utzjUy6NULqGGPdGZy2NGaYfUzk+kIsLHI+B6a+ATyVJIWPpwc+v9GEdx5Lg9ZkxkJRILbaJFkALJ3twMZkvFlcgzhxENheHnghcyEkgX44U61Gzltfo/xH6/HBjiycV2hQpTaitasXJ3floKBGjSstBuTIQxDJZeOJY0Wkeu0F6slORhmcx8vDjTIelZd9QCoGBgYGBqfIkAopLb2U7SYcfiID1boOFNbpkCkTIj1KgH0flZHKxYmDsEomQjDLG2drW/FGUTXkfA7+elWJnoEhHNiYjP2nLuGjp7PxPw8mIj9WgpIGHTKihMiUCfHE0SIkhfGQlipxOjYgw/xmogMGOiu1CC4bft4eeLesFmmRFku3xLGwZLaWxNdUBmRFi5ATLYJ5cBjvblmJiiY9cqJFSAwPxujIKHoHh0h1x4mDHIQaf19vrIkVY02seHpemoHhLuCMlWcUjw0uywdSrj9t+IgaXSfJgAYAMmVCfPJdE6J4bOTIQ/CHR1Ng7O3H3/bm4lytxrouZEWL8OWtFmRFi1DW2AaF3oQ/V9QhLXJ2KLjuV6gSwwMWpRSdN+10QsjzN1o70GTsQQSXjaXiIIc13pWQF65AJNizj+lMlVDLWetpYrwQa4pCb0JZo95B9qfbZ2VKHRXBuTHUls6rKRKf+Xi6U8rFPnbxbme7/Ex8f/bf81QVh7OJTBl131lF0XfmIhxfb8q+y/F1jLHuDIzSeA5BJQzQTd4iDgsF+9bA1DeEYqUOSkMPMqQCrIwUwM/L0i00JjPY3uQuwvb2hIe7G27+2wYEsnygMfWhokkPdWcv/iF9AaL5HLR09CKEw0Jpgw48Px8sEAbi24Y2GHsH8HhCFJaJg9AzMIT/Xp+AkgZLYPJMqRBbj5KVyMTJKCMMf3/8vb3gHmBZ4BaHBMLL3R3iAJb1t2ZgYGBgcA5iTcqWU2dKj5dw4ePpAY3JYlEmYPvC0NOPn61dhkfjInBNZUBSeDAeXBQK91E3/OfXVVgawsXBrVIcqVAgNVKAhcJAGHv78PnuXLxdWoMlIYHIkAog8PfFye+asOuDUgDAv6xeDDd2oFOxARnmJ7Z7qGyZEFyT2dovbD/bn7OYsj/z2D6Q8tgoemEdrqmNMPUNYHBkBF8+m4uLdTp8eK0BDy0Oxf/P3p3HNXXn++N/gexhDSEBwhYIqK3UBRAUkE3rtNqxY6dWbdHaamvndr53Zu73fu/s37m3d35tf73j3N9MZ7roqGPbsdqpc7vY1qogshRwrbggBIKsSQi7gOy/P8I5ZjknJBCWkPfz8ZjHYxoPJycnn5zP5/0+n/N5b1oSDtcFznj6/UKcrVaxj1KfvNWIhRI/FNVqcGJXJq40tuFMle0SGoTMJKGQu4CjJY/mZ8qDkftBEf7v+qX49PlsfFXZhEsNbVgmFWKh2A+vna3Ab9Yvxct6E2jiQ/wh9RPg2aMl7H8f35GBMYzhwws12LVSjvRoMcYAnK9R41pLJ3zcXfF/spdgaGQUEf4CdPcP4qa6CwU1akQECLAqKgiq7n4scAIihN4mv0FXV1ezsZejxWXWrtVb0dyBhs4+hPt7IT40gPfcWLMtAGh776GsXgsvtwVmjzcqQICty6Pg6Wp+OwZfm2ZcatBi36YkODmNwdnJCaNjYxgbc8LlxjaTdYWbOntxp6MXQ6OjcHV2RmSAAFJ/0/xEdmww26cw60S/8VgCYoMMZ9nnxIVw/q6yOc69xMcTJ3dno6BWjcIaDdJjxMiI5u5jPFx050bi7YHkCBH8Pd0MXmd4u7vC2Ykjfnazj/h53cJQzvMsC/SZ+I/tXNb4NZm52aHQ9qB3cJhz5vl8FOLridHRUXQPDMHdZQFC/TwRGSBAiO/krtX20eIJL/2OOz1KZBAMmNs2Sy5BWrQEmw+fMwg0c2KD8c6TKbih6kR5vRZPJ0TjlUeW46efX8ZrG1egobMXvh6ucHJygrKtx6BK6f5S3QLj7z6ZgvrOXvxi7UMoqWvF2aoWXQBb2YxPbzTi9cdW4IcnyuHlqvsRv1Vchd+du4njOzPw+3M3DQIJroXyc2KDcWhbKopq1Q4zYJmq/uERtHT347qqE5ca2pAwXnE3lKP6LCGEzHfmqnHr95Wro4IQHxqAho67eCg82qBPKv3nR/CPXZkou6NFvkLFBv7N3f344YlykyDn2I416L43iB1JMZCLfPCX0moECjzwwqo4ZP7pawi93LBvUxLWvX2aXS/xl19ewQeXlew+juauwbYVMpy63QyhlxvWxobgq8omzkdnjauAE8fDV2zo2I418HZzwQa9Ajlf3GrCh7npuNPRi4IaNVaECSEX+WLTX/LxwTNpeOXra/hpTjwqNV14/2ItVoQFYsMDUgQK3BHo5Q5nOOH07RacHX+8WH/97dVRYrx3sRZ/KLyFL/bk4ImlUbNyPgiZrPv9ggpZnTCJOyyZ5ensBBzcuhpf3GrCt03t2BQfjiUh/iis0aCxsxf/9d1EeLu54Mj2VJyvUSNVJkbYeI0YRkVLJ85Wt6CkToNdK2MR9h8fo/xHj+L5YyUmv/ND21LxP9frkSoTw9vdBcG+uvV2Xzj+DV5/LAHXmtsh8vZAW28/AgX3jzMgPJrzunF8ZwYEbi4GhcmMb1LyJZTtOdFs6Vq9rXf7UaPtQZW2B982taN/WAgvNxc4O8GkGJ4121paNI7ZJ5MgXCoVYnh0jHOfzH7NtWlGXJAv3F0W4HytGiXKVqyWBWFNtAQDwyOG++vux+DIKKq13ex2Ib6eUHf3Q2KUqBocGTPIITDn1Hj2soeLE/6xKxOFtRp2Rn16tBgeLqYzfdU9uvf383BFUngg/DxcMTgyCjVHbuRcjRrPfHC/uJ9C26Nb/uOZNINxk7MTOONn4+T2XDU6Osp9nh2gEF5FSydO7MpE4Xi7fWFVLNKjJbjR0okwjhsZ842G+T24u8IzcAHcFjhjcGQUmp5+iCdx7aWksR2ztBPh2raipQOd/UMmgeZPc+LxvUPnTC4uJ3ZlYvOhc9i3KQm/P3cTmx+KQHM3d/Xfam0Pvqpswt8u1yE5QoR/zXoQn95owAeXlUiJFKGipZP9O/3lKC42aPHWkykG++NaKP+nOfFmByzE1L3hEYNOg6kg+uGONbN8ZIQQMrPMVeN2cXbi7Ff3bUrCr0/fwCOLpaho6URKpAgXGtpwtakdm5aEo39It9a/kxPwdEI0Z994saENu1Ni8cfCSqx5s4L9N93MsTVI/eNXuK3pYosgXW/pwGKJn8E+zilUKKnT4MxL6+Dn4QqhwJ13bTrjKuDE8fAVG7qh6kRH36DBvzV19SH9zVM489JabFkWiV9+cRVl9Vp23PbTnHj85JML9/+mTIH4El3weaBUAYmvB642dXAeB1Po+IPLShQpNVTkmNgV03hLwRl3mHs0X93Tj3dKqhApFOBiQxu2LIvCk4fPAwCbtFK230ViuBB/KrqNnUnRaOnuZ58q0Xe1qR1OcMJtTReeXylnC4jrq2jpRGld6/jNmkr8+YlkhPsL8JNPLmDfpiT2335fcAufPp+NwPEcSnvvAL641cxbQEok8OAtrLU2Npiz/zy5J8eu47bRMXA+5j06ZrhdR98QZ4Lu+M4Mk6StNdvmVXNfx41vDHf0W75PS9s0AHi5ueK7f8kzGTN9+rxh4nFgZNQgh8C3HWCuwF0LchPvFyk7U6XC9veL8NxKORLChCis1WDXhyU4mptu8jsbGB7lzGFwvX9BjenNTcB03GR8TpnPxHVO56KzPG0nT6EyOM/zUbCvJzZztEeuApbz0T0rfg+WoEJ4dsxc5dGJtpWLfHC5sc1gm5RIESo1XZz7LKrVYGWE7t+dnID2Pv7qv4W1GjhBdwewrF6LClUHksJF7Pvy/d35GtOFyY0Xyjd3jFyfm+iUKDWc56xEyb1OFyGEzFd8wcq15g7efvW2pgtykQ8baDB9WUKYEJ9eb2CL05jr4wprdVWsXzldYfB6RUsnbqp1yWImuQYAxcpWBIw/Msm42qxLFlxtamcDO76iSvZS3ZtMH75iQ539gyhv4K40r2y7i2NX69hAmql9wTf2OlejRmNXH967WIvVUdxrp+oXOqYix8TeWBNvmduHxMcDJcpWDAyP4KPx3xhT3OxguQK1bT349Hojyuq1uNTYjmBfD859Mb+nq03tWBEu5O1zmP6koqUT3zZ3oLNvAF6uLrit6UJX/yD7bwWK+7/JqtZuk/iQcbGhDR19A5z/ll+tQlVrt8l5Eri58Pa59hK3nb7djPQ3T+G9i7XsDeL0N0/hTFWLwXZFSjVvDG3Mmm2ZcYexc0bX96Jay/dpTZvO59tWoZrUdoC5AneGrzN92MFyBf7pRDkOluvWqOXqR6x5fyYvYcx43GTNOZ2LLD3P8xF/AUvum9vzjTW/B0tQ0tiOWVp5lGtbpvq1PnPBbnGdBglhuoGJQtsDsY+nyd+nRIrwTIIMGx4Ig4fLAjyTIENKpAinKpvZKr9c78vYtdL0jleW0boz5o6RAhF+5fXcwSHf64QQMl/xDaJbuvt4+9WrTe0YA5A0HlC4uyzAk8ui0NE/iFS9giI5sSH49fqH8NtHl5nsIz1aglKegjpld1ohF/kYJNdSZUG41GjY36VGiaHQ9hj0d7wVkqPnf6ETYh4zhmLGZymRIqREihAfEoDHHgw32f63jy7D95dG4pfr4vF8spwtkpwQLjJ7MyQhTIjSO1rEhwZwtkX9QsdU5JjYG2viLT59gyPo6B/EalkQbyzk7rIAuYnRSIkUYWB4BA+FCvH0CpnBb/enOUuQNP40yjKpEJcb2nnjqsTwQCi0PUiJFMHdxRmuC5whF/ngalM7EiNEbF9TVHe/TyyoUZvdn5/RjUxGVmwwCjgm/8hFPrx9rr3EbczxMwl+5lpWpDRsF0xMpX+91X+da1tLXrc0wWnNPpk2bXysXN9JCV/isU4zqe0AGIyb9BkXaOPqwwDufsSa90+L5h43pcoMb3zae/xs6Xmej/gKWBY7yIQ55vdQ+PJ6tP7HFhS+vB4A9+/BEpQ0tmPGCVX2dY4LqfG2pXe0WCT2M7hgKrQ9WBEWyLnPNJkYlxp1A5PSO1qIvNyxbDw4kPp54fTedXg6IRrBPp5YGOSDNTESeLgswNMJ0Xht4wr4uLvgz08k45mEaKyKCjJ434SwQCh+/jhua7rx4vFvcORCDZq6+gDcX0fKkmPMcJCFzScjI4Y7SHOUxeAJIYRhPIj+7aPLcHrvWmTESPj7VXkw7rT3IjNGgsKX12OZVIi/f3sHAZ7uyI4NxkurY1H3q80AgP84dQ2hvl6o+9VmPLJICkAXjGTKJQjwcufc/zKpEGMYY5Nr8SH+SJOJ2Vk1zD7iQwJQVm9YYdzTeQx/fiIZb25eid3Jcry5eSX+/EQyAjwnVyGZzB9MsSFmfHbgqdV4KXUh/lKmQFf/IApfXg+pnxceWSRFw6+fwPfiI/DR1Tv47ekKZMmD8dPsJUiVibFY4ss79lodJWZvbtS0duPQ1lS8uXklXkiJxVvfT8a+TUnsmqxc64ASMtdZE28ZU/f049gVJcrqW+Hr4Ybs2BAI3FzGr+e6+IaJoxLCAvH+JSV2JMbgn9MXw9vNBQ8vCkWIryf+8tRq/CB1Idp6B3CxQYvCl9fjodAA/KVcwcZj+nQ3DiV4/5k0vLAqDuX1WnT2D+IHqQuxJkYCf083Nvmpn0BaLPHFdxaFcu4vPiQAK8KE+NMTK9nkHfNvGTESRAnvrxPKJPncXRbwJq7s5QYSf+LNsF2sXyhl42EmBj69dx2+syjU5G/XRHO3Ka7ro6UJTibWez5Zjj8/sRLPJ8sBcMd6jy4Oxem96/DcSjk8XRfguZVynN67Do8+IDXZ1tLEozUJypzYYM7PlC03bBP6fRhzTgtfXs/5m+S7UZ4uM93Wx82Vc9zk4244bsrkiZ/5rglzTTbPec6S28dvbyqMfx8MR0iYA8DeVbG486vNUGh78LOTl6HQ9uDOrzbjpVWxk9ofrWlsxyxdmJ9rW6mfF3zdXXB8RwZK6jQou6PVLWwfw10NPlsejN+du4mty2WID/HHliPnUfTD9fj42UwMj47iqSPnUdHSidN712HL+P/X//t3n0zBveFRSLw9cFvdhb/vzMDFhjbkK1T4xbqHONdKOrknB1I/L4PCEt9ZHIqEsEDEl5geY4S/gHOxewKsGR9wGJ+zdAe5cBJCCIOpxh3mJ8BbTyYjv1qFY1fqdAXxYrn71YgAAX71cDzcXBbgBx+XsdWYO/oHUKnuws9y4g2KijH92Oe7s1FUq0F6tBivnqnAv+XEc/ZfObEhyI4NxsFyBQ5vW430aAla797Dm5tX4mpTOxLCA/HIYilS//CVST/f0VyPGFks+oZG4OGyAOEBAsSIfOxivT0yvfSLDZ3euw7b3jvPtt0/F99G7+Awvt67Ft5uLqhrv8tZ3HjfpiTsOlqCg1tXc7bdtGgxdn1YgvgQf6wID0Tmn77G57uzkBgeCF8PV5TXa7FhsZSzMBgh9sCaeEuf8bqxAPDuN1X4bHc2BodH2HVyU6KCsOtoscF2hS+vx3N/LWF/u1vfM42tjmxPw6GtqyETeuODp9NxrUW3xBJTlHX9O2fYAqvPlSrY3/TJPTn4p4/L2P1kx4aw+00IF2HX0WLs25SElu4+nB8vivnwwlAMj44hr1qFq03t+KfURXjr+/6403EXKyNEkPh4IlMejJzYYLZg5rdN7VgRFsjbr9rLDSRmzGASGxslvVdGBBqMA5jtuIqOpfPE21yJT18PN841lX09DGd9P7wwGIqfP84WrEuVBeFnOUvg62Ga7kkMF+FRg3WmdW3jC6NCdAB4vz/jBK+l2wGAh6sz/rErE8XKVhQpNUiTiZEqC4KHq+F8xtExcK7TfOrFtSb7zB7/nTJ9nELbg97BYc4E74IFTgjx9URn/yDcXZwR7OOJEF9PLHA2LLCXzhM/20viMdDdGZ/vzka+QsWe5yx5MALd5/+80exY7t+tvdysmiqxjydnXDLZIojTmjRua2vD5s2bcfDgQcTE3F964PDhw/joo48gFOoef/n3f/93REdHT+ehzEvGlXrTZSLkLJRyDsiNt/1x5gPY8tcCVGi3TWoAACAASURBVLR0ouxHj6KqtRtvFVfhF19cxeFtqahr78GF+jakRYuRESPBvSHd4Kb17j0c2paKmtZudPYPQdXTj+auPrYwEN+ad5ca2/HexVoAukeV8qpVeDw+HMkRIuQr+BbDVyE3MZotLLF+YSgU2h68kXcDR3PX4JxCxXaeC8V+2PpeIf7ruwlUYIXDN3Wt2LcpCbc1XQbnrPROK55wgAqihBDCkPp54eSeHIyNjWGj0YAqJzYYn+/Oxmc3Gk36l3eeTMbQyCj2bUpCW+89rIwQoaBGjaGRUd5iI/kKFVZFitDeN4BfP7wUitZufPp8Ngpr1SisVSM9WoIseTD6h4YhEnjg9Y0JAICmzl5UarrQdW8QuYnRkIt8cahcgf/6boJJ4m1oaAgSH09KxhETzFqiKZEiNHT2Yt+mJDaZ83RCNBaJ/eCEMVxr7kBdRy9nG27ovIu7A8O42NCGL/bkIF+hQmGtGqkyMTJigvH+pVoc2Z6K9GgJ3r9UgzN712HLkQJ2X8kRImTKJVgbGwyhgHuNVkLmMv0YKq+6BdmxIRbdAOFdN1ahhtjbA4/sP4vnV8rhtsDZYLuUSBGujq/HaS62utbcgaauPnxT14pVsiD4eriwa+4ys4ibuvoMCqxWtHTiVGUznkuW4/WNK+Dr4YYQ3/ufo6hWjbPVKpytVmHjA2H4fzYsh5ebC1q6+jhvKukXTpP4eOLQtlSDoncoU+Dja8E4uScHxUoN8qtVdncDiRkz5FWrUKRUI00mQXZsMKR+XgbbFfHUjymua8WWZYaxlhdP0tTL1TSZF+LridGxMXTdG4K7izNCfL0QKfQ2+N4A4N7wGGchupMcieCCGu61es/XmhbQrWjpxIldmSiq1aC4ToPUKDHSosW4ruqEVC+GlPoLcHJ3NvL0EpTZ8mCDbRiFtbqZ997uLlgZHghvdxco23vRMzCITUsi2O3Mrb1sHO8zx1k4njR/YVUs0qMlJsfJ7Fe/wN4/Khrw2F/yTQrs2Xv83HR3CN//awHy9q7D9hUydPUNIvvt0/j7sxmQe9rH72+yFsAJ/9iViUK9dpseLcYCOE38x/OArYsgTlvSeGhoCL/+9a/h4WE6QLx+/Tpef/11LFmyZLre3mHoV+qtrKw02wHrb3vsipIdjJTXa/F63g12u3Vvn0ZyhAhvfDcBgV5u6BkYxoV6LYqUGmxaEobfn7uJH2c8gB1/K8LS0AB4uCwAYH69Yf3K2WX1WjyTIMMn1xuwIkyIsnruvylSqpGbeP9mwoV6LWrb76Lz3iD+u+AmKlo6IRf5GAyO8qtVlDTmcLqqBQfKFEiOEBmcs90pcjyxNGq2D4/YuQX/8t5sHwIhVpH6eeHIhRqTAdXZahXyFSp4uS4wCb5buvuxPCwQu44W48SuTGw6mD8+C2yt2WIjiWGBcHF2xn+fv4UfpC5ES1c/ogIECF4aBbG3O0KNAk9AF3wZD+p+tjbeRp+eOAqmXcpFPngoNMBgNmNKpAiZ8mD8fG08ipWtvOO3b+p0BR6/vNWE2CBfnFOo8eOMxfjkegO2HjmP3cly9A+OYOuR8/jOolCUjyemGEyxr2VSIY3PiN1iYqgkvzHIZFEW/Q3fWsiFtWokj69HOzAyYrI+qn48ZS62KlJq0Dc4jO8sluLNotvQ3r2HDy4rTbZjYjCmLyu704r+oRFca+kwmbGpf8yf32yEtvce/jXrQTR391uUvOMqHHa2WoVipYaNQe2R1M8LuYnRWB/hDbGYe5apubWvjT93oMATw6P9iBP7ItzfC55uLvByc0GggDuOl/p5mSSpjfEVHGQmYekzV1zPOGn8P9frsb9UwSZYC2s12PVhCfakxGL9IsPlLJixy0RJqUiht8ns+vgQfxzalmqwnTXnVOLric0cSXPjferv92C5AgfL+fdr7/Hz+fHf42MH89nZ1xUtnThfo4Fc5DvbhzetugYG8dSR8/By1c08f7ukCvsKbuLYjjUIxvxOmAPmiyDOqaTx66+/jq1bt+Ldd981+bcbN27g3XffRWtrKzIzM/Hiiy9atM/r16/b+jAn5dKlS7N9CLwsOTahUIh8hWEFeGNl9VocuVCDUF8v1Lb3wNN1wXiV+EbUtPXgmzutqGjphMDNBU8n6DoihbaH/f/GlkmF7ExjZtsXVsWhWKlBqiwIB8oUJn+TJhOjq+8eutta4efnBw/XBbjU0Ma+z4EyBTsAYqyOCsJXNxuwSOSNblUDhoaGOI8nISFhwvNkS7PZdpcvX45UmZg9X/rnLE0mxujoKK5cuTJrxzdVc/n3aC1LPosjtV17MZ/a4GRY+vnnUtuNjY01O6DasjTKJPheLPFDRXMHVkaIUKgXGJfXa9lrrLE0mRjDo6MYHBnFOYUaiyV+GBgaxYt/LwUA7E6R440Ny1F964bJ31rj0qVLEAgEcHd3x8DAAHp7e6e0P1uZq78Na49rLrVdS4WGhrLt0t1lAa41t6OipRNSPy8c3pbKzjiu0XYjmKO4MWNVlAjvlFQjNzEat9VduKHqxB8KK/HD9EV4q6QKAyOjbCAdG+TD1qQwllfdgiS/MbS3cyfAbGGutjdbmOxnm+m2C8zv7wGARW1YIBAgPUqE/aXVJv+mX1COK3bSf81cbJUWLcbDC0NwqrIZ5xQqi2Mw5r8Fbi5o7emH+8gAVCpdXGh8zHKRD9r7BswWIU8Tu6GlpcUgvjQ2md//TLZda665DQ0NJq8JBAKsiRZzft8ZMWJUVlZy9su+AgGC3N0x0DeAxtY7aLTusFkRERFmxjRqrI/wZo87OjoaSeEi7C81HbOsjBChvb0dSqVu/BMSEoKVEbptb6o7MTgywhZQXBkhQnNzM1paWgz2MdFYJCIiAteauzkT3NebOxDmNoL6+noEBgYiNSqI85ymyoJQV1eHtrY2AMCiRYtwbXx2Ptc+4/zdUVlZCQAIDAzEap79rtbbb0xMjNn4ubOzEzU1NSb7AOZG2w0JCUFVazdO710HhbYblxrasDMpBq88shxf327m/O7mi+XLl6Oo9v7Mf/3vrljZiliRj13nPiaydOlSs3HJ0NAQrl27ZvJv5trttCSNT5w4AaFQiPT0dM6k8YYNG7B9+3Z4e3vj5ZdfRn5+PrKysibc75IlS+Duzl1EZqZcunRpVgZglrDm2LI6dY8WWZLolYt8kBETjHyFCmkyMe4Nj7CDh9I7WrzyyHLEh/gb/H/jO4dLQwPwst4PtndwGNmxwfh9wU38NGcJ59+siZbg9fyb2JkUg//86gbSosX4l8wHsPbtM2wRP+O/iQ3yReofvzJ5ZGq2zXbbzeZZZypLHgxnZ+c526YnMpd/j9aaq5/Forb7t5szczBz1KS+t3l0zuZiuwUmbrvmBlTKth6D1+JD/BEX5Iu/XqhFQpgQJXrVl3/xxVXU/Woz5zU2c3wtv+rWHl2Bu1B/rI+7XxQnNUqMSu1drJzCObx27RokslicU6iQX6FGllyCzLjIWe//5uo1ba4elz5bjRlyPHsRH+IPL1cXfFOnG4Md3paKn3xywWA2Vt2vNsPf042zDYf7e6NvaBgLxX44dkUJucgHq6OCMDI6ihPPZqB7YJgNyBTaHry4Ko7zd5UdGwKZLAoymczk32zBHr7XybK3z2ZPx2ota76LgJ5+zt9UzPgMP77YqfSOFm88ljBhbBXq64X/73wl2noHzG7HFFhl/ntJiD/e+G4ChF7uKFFq8GaDFhkxwciODcbDTjDYh0Lbg+8tieC9qZQSJcLNHiA+7gFIfDzZ+NLYdP/+p8rSa66579+5tZvz/K8IFyEuaPpndabKunnGNBKIxWKDGdJp0c6cx5oqC4JQ6McuIQoAme49KHx5Pa42d7BLG73xWAKCfT0RGuiD0ND7Yxp1T79FY5FvznEnW0vqWpGbFIOgIF0RMye/u9w1eWIkiAzwRlRU1P191rUa785gn/rfW4drO+d+l4QEIEoqZPebE+vKu06zv79gTlzrzLXd3a7e+P5fC0xmX/99ZwZCg3wNvrv55kKDlvP18notnkuWz4nvbjqZy/24urpa/fmnJWn88ccfw8nJCd988w1u3bqFf/u3f8Nbb72FoKAgjI2NYefOnfDx8QEAZGRk4ObNmxYljYntMEUdzA0yUqKCEChwZwsVvJ53Hb96+CGcqWoxGDw8e7QYh7el4ramC1/fbsaHuWtwqbEN52vUuuI9i6So7+xlC/ow6wFhDDj41GrcUnXik+eycL5WjSLl/bWSLtRrcU6hRri/ABUtneyF7sPcdGx9r5B9z6tN7VgTI8GqqCBk/ulrAPzrHTmqtt57nAvht/XeQ5gdrMlECCG2xle0JVMejOrWHoMidBsWS9HTqkKWXIKz1SqTJ2Re+qgMn+3Oxjmja6z7Amc0dffj2aPFAHQJ6S8rm9n3SosW4428G1gZIcJk+QaHGxRb2l9aPedunJLZwawxOTw6hq8qm3nXR23rHUCU0BvHdqxBsbIV5fVaZMZIsFQagEsNbdi3KQnPHi3Gz3KWoKROgzB/AXb8rRjHd6zBK6cr2P30Dg7zFo2yl6JXhNgKsxby17ebUVSrYeMfpj/4+sW1uNjQhlOVTfj42QyU1LWy240B+OPmlbip6sTp2804toOJrXSFVSMCBHj6/SKE+3vhxVVx2F9abRCPXW1qR3q0BGnRYpyvUWN3shypMjHignwxMjYGJwDb9Irr6a9R/D870lDe3MWuP5wUKcKddu7kXbi/N9a9fZr928kWDZwPDpYpONe/PVSmwKsbV0z7+1tasA+wvLgeALiPFwA2KfBntFayceFHc2ORjBgJ96xso6J1wyOjnMc5PDJq+rd8++Roe3Vtdzm/qzvtd7FcL8dhzTrNc9GFhjbO2dcXG9sgn4EbGbMpIyaY8wZWpgNciwD+3E/7JHM/05I0/uCDD9j/n5ubi9/85jfsHaO7d+9i48aN+OKLL+Dl5YWysjI88cQT03EYxAz9og6nbzfj+M4MXG5sQ4FCbVCgQP/CmffSw8hXtODZlXKE+HqyHVNTVx/WvX0a21dE4ac58XjuwxIAukeaDpfXwMXZGQfGL+LMekBOTsALq+Lw3IclKPvRo3jnmyr4uLtieahuraR9BTexb1OSbmZWiD+7FldFSyfudPTiwJZVOH61DhsekGLTknC09t5D5p++NngsktY3vs/d1QUbD+ThT5tXYsNiKW6pu7DxQB4+3LFmtg+NELtHazrbJ65gIEsejL0fleHLyiZ2DbvD5TXw93TDQx73kCmPxKtnr5s8IfNlZRMeO5CHfzyXhXSZGGMAOvoHEOjljoR9JwHcv8NfpNTg0NbVSIsWY+uRQvzvrAem9DmK73AHBXTjlAC6dn7sihKxQb7IlAebPGaeEilCSV0rfniiHP/5yDJsejAcTyyNwEdX6vDqmetQaHvYsVimPJhNejV19aFI2YrfProMob6eBmNH/cLL9lb0ihBbkvh4suNu/TXy40P84eSku3np5uKMj67ewdqFoSbbbV8RhT98byUCvNxRpelGiI8n/lR026DQ3ZtPJLP9EVOXJlMuQWq0GNvfKwSgi7+au/pQ134XD4b4Q91zj7ffeMjjHrYsW2TQf7gtcMLxnRkoqtWgvF5rkLjW/9sty6Ic9ve/XBrAnn/99W+P5qbPyPtL/by4E5wcayFbWlwP0C0twlnot1qFZ/TWSramaF1CeCD3rOywQIPtCmrU2HO81OCcvlyvxf4tq9gZ+4wVYULOfS4PM50lvzjYD1v11rt972It+oaGOeNiS9dpnousWbt6vkkI42lj4YFm/mr+8ODJ/RybZO5n2tY0NvbZZ5+hr68PTz31FH784x9jx44dcHNzw6pVq5CRkTFTh0H06BfGA4C4IF+zFxChwB2nq1TYX1qNjQ+E4eBTq3GpsQ0XG9qQJhNjSWgAHnn3LJu4ZQY0D4UGGBTBS4kUYUdiNPsYyeZD59g741ea2rEqKggvrY7D44fOATBdi+tcjQrvPLkKDy/SPVJx5nYz1r971uR4szjurDqqw+W6u9/XWjpx5GItlkmF2LcpCYfLa/DaDNz9JoSQucg4GNj7USm+rGwCAIM17PKrVUhK1AW+J/fkoLq1Cyf35KCgRoWCGjWWhepmqWS8eYrtA/ekyPHGYwnYnSJHapRYN9tlDOzN0V0flthkBlYhzyOZdOOUMOrae/Gvn13GiV2ZuKHqMJglr1/b4pdfXsUvv7zKrnvs7OwMLzcXvLg6FvHBAfjp55fx+c37q24yj3m+9WSKwfsZjy8JcWRCgQf+ec1iLJMKkV+tQqZcgsUSf/ylVIGB4RHsWRWL/qFhNh4K9xcgPsQfy6RC5MSFIMBL9+j5Amcn1Lb3wMnJcP+3NV14+/spuNLUbjBr8u3i2wbx15HtqXhA4ocrTe1m1yhOSjTtk4K8PRHk7Ym4IF8Eebvj1TPXTerKMH2Oo/7+mVnW+mOHmZxlre7px4YDeUgKFyEhTIjzNRr87txN3qeOmOJ6Go2Gt7gfABTVcq+VXKhUGySNmeJyKZEituha6R0t51jE0lnZTJFI4zWFmb7Hkn0eLFfg9Y2Gj+IzcTGzbW5iNBaK/eZdXMysR831+nx3sHx2Z/7PNub3YJz74fo9WGLak8bvvaebgRUTc//uzOOPP47HH398ut/aobFrCinG1xSSB9vkLm+WXPfox+c3G/H5zUb2zl9UoA8q1V2cBVDSo8X4qrLJoPhKZ/8guwg9M1OZ2Ze/hytePlGOpq4+k7W4AN3aTPriQwPs+lGo6fqu9D0UIuS8+/3+02k2fR9CCLFnTB9n8npsMAYG7gEARkfHUNfei6OX6/DcyhhEBnjjXz+9ZBJAp8p0jwUzSWInJ+B7S8IhFLjDxdkJR3PTbTIDKz0qiDMoyJBLcOZ2M/5+rX7a+hYyd+mPLVZHBeHwtlRsPnQOx3esMVmzdEdiDKCXSGbGZR/tWIOk8EBIfDyR9N9fmLxHpnz6xlkzMTYiZLpwtV/9RKq6px+JEYHIr1bhproL6+JC8fuCWwZj9ZI6DTY/FMFu33VvCB4uC/B0QjReeWQ5nj1aDKGXG5IjRHjmgyKMjcFgjP/m5pUoHE/4xYf4I8TXC6duN2NZqJB3jWL9vo5P3+CwSX/H/K0jm+2nLJiZvgI3F7ZgnSVPHTU0NJhNGvPXfzC8/j+6OBRblkWxRVaZdto7aFqU3tJZ2bxLDHD0PQ8G+3Pu8/C21SbbLg3ljos/eGZ+xcVp0RLOHElaNP/3PV/M9sz/2bYkhPv38NdtqZPa34zNNCYzx5o1hfj+nm+gbrxWVVm9Fn1Dw5AJBRB7u3MvKh/sj5hAH/x87UMG62ed3ruOc1+/WBeP+FB/vJQahzSZGE8dKTTYn/HaTLPdSU/FVL8rS2XEiDnvfq9xgE6DEEIsxfRxAjcXdqZM7+AwcmIl6BscwW1NF546cr8fO1CmQOHL69E3NGywH2YpishXTrD//Zv1D8Hbw83mM7BSI7kfwYvwFyD9zVMAaJ1jR9PU1YcN+8+ajC0Ob0vFliPncXhbKhTablxpbEeGXIKUyCDONiQT+UBd18pbfDhLPj1JopkaGxEyHSxpv1yzcfVjmdWyICwJCcC3Te14MNgfGw7kmfz+zuxdhzGM4Z1vqrEjMQaxQb7s0jHxIf7IiQvBteYO/K81ixDhL8DW9wrR1NWH6p8/Dl8P7gJfGTESNFaZL9TryOsWW0Lo6YakCBGEnqbrA0+nK00dOL13nUnS9vTt5imNOSxdKzkhXGTQ7zDbGa99DFg+K9tcMS++4zTeZ3ZsiMm2a2IknNumR8+vNhzg6cq5JnSAp+tsH9q0m+2Z/7Mtm+fzZ03yZj8ljecha9YUMjbRQMc4Qbs8TIhHFkvx3IclqNR044Nn0lDf0YvCWg3WxIiRGBaIg+UKpMrEqG2/a3BcTMGGxs5elNRpkCkPRoS/AP/ns8vw83DFW8VV+N25mzi2Yw32FdxEmkyC7FjutZns9VGoqXxX1rgwXsjG+BGNi41tdrOYPyGETDdm+YmzVS0oVmrw4qo45MSFYGB4DL/44ipSooJMrtlb3yvEmZfW4WKDFudr1EgdXxu5StOF3SlypMnEyJQHw8vNeVqOuVvVYHLjdJlUiLVvnTbYjtY5dgztvQP4/EYj59iisbMXP1gdh9uaLqTKgrB1eRRGRkfRMzCM4zszcKmhDQU1amTESLAyQoSLDVpECQW4OzCEj3Zm4MJ4G8+SB0/rzN+ZGhsRMh0m234lPp5YGxuMq03teKu4Shfs/+hRfH6ziXN/RUo1DpQqDBICnzyfherWbnbyzFtPpqCj7x5uqbvxs5wluNrUjssNbVgtE5sUvlwVFQQXC7ope56sM52MY2gAM3qz67mVcmw5UmDy/sd3Tm0ZUKmfF07uyUFetQpFSjVvPH6+Rs3ZTgtrTdfPZcZaedUt99dfjg0xOU/WtDVLjxMALtRruePiBi2kfhGTPVVzTpC3J0bHgL6hEbi7OCMiwBsxIh8Eec//3+ro6Bhnwnx0dGy2D21GlNfz5H4aJpf7oaTxPMSsKWTyugXrG1oy0GEStBH+XshXqJFX3YKz1bqF1jP/9DWSI0Q4sj0V//71t8j9QFchuKW7Hx4uCwz2yzz++NtHluHhhaHwcFnAzorS921zB955cpUlH93uTOW7ssZXlU3YX6oweURhT0osNi2ZP50jIYRMhbqn32CmzIEyBZ5eIcN3Fknh5ATOdSCbuvqw79xNPLJYiieXRqG8XovIV07gPx9Zht88vBS1bT2IeuUEjuamT0vCa2hoyOTG6d6PSjmXi6J1jue/qtZuXG5s4/y34joNlocKceRiLV4+UY6juemIChDgYqOunsQXtxrhBCf8sbASgO4R4BdWxaHr3iD+37wbuKHqhFzkg0CBx7QmQWZqbETIdJhK+z1d1YLX824A0K0N29k/yPt7LrujZQuFA7p4rbq12+Q9vr7dgu3vF7ExwL6CWxAKPHC+RoWHQgKQGB6IPxRW4rW86zi+MwMCwcQJBXudrDOdZvtm18UGLef7X2poQ1yQL89fWUbq54XcxGjk6q1hbMyaomvMWIspRMdMFONKsFvT1pjjXB/hbXbJDUeKi5lJf0qlEjKZ6azr+ep0VQt2fVhiUkTx8LbVdlnU0Fqnbptp4/HWt/HpmfZCZhXftHNL1poyN9AxdvhCLYRebihRGhbhcXICvq5qwd8u17GvKbQ9vOtn+Xm64XpLJz653mDxe88XU/murMEseF9Wr2ULYui/TgghhDvoc3ICzteqzPZjKyNEeP3sdTz8zhn88surAHRFxX7z9be4NzwKYGb7spnqW8jsUff049gVJfZ+VIpjV5RQ9/QD0FWb52unyRFBODIeOAC6Ntk/NIKee4O43NCGv12uY8cIZfVavJ53A1/easKXN5swMDzCjiE+/vbOtH42ar/EntkqDpOLfHCpQcv7e14mFUKh7TH8e45+htkn8/t1cgIqNV145XQFnjxyHi9+VIqyel3CsahWA1/fqSUYHZU1MfR0OF/L/f58yVxb44spuV5nxlr6cSmTYLeFhgbunILxMTlSXNzezl38cr4qVurWczf+jouU3IUd5xtbt3FKGs9DzBou+ixdw8WagU6WXIJLje1YY7Rf/UrcjNI7WnZNPOPjWij2w6nbzUiVcd8RnM9BwlS+K2uslok532e1LMim70MIIfaMK+hTaHuwMkJkth9LlQVxFgZKk4nZ6t8z2ZfNVN9CZgfzGPT294uwv7Qa298vwvp3zqC9dwBRQgFvO31AYlhYOCs2GJ6uC5AQLmLbqbGrTe1IjBAZJKemuy1T+yX2zFZxmELbAx8PN7Pxk3G/wxev6eOK0xh81wEysdm+2bWGZz3ejJiZeX+m6Jo+vqJrs51gt+ZYiX3iyyul8bw+39g690PLU8xDU1lrypriBpnyYJy82YTEcMMiPFyVuAHdGsZnXlqHK41tyKtWsWurMNV/+Rban89BwkytC+bm7My5ro+bM903IoQQxuqoIOwvrTZ4rfSOFoe2piI+xJ9di59ZIywrNhhZ8mCMjo5x9l+Z8mBEvXJixvsyWnNyfuN7DPpMdQsy5cHI/aDIYC27hPBArIsLQcafvma312+T6p5+rAgLNBm3AUBCeCD8Pd1mtJAMtV9iz2wVh5Xe0eKVR5bjtbMVJr/nRxZL8fyHJQZ/ay5esyRO020rQXd3N0JDQyf56R3XbBcITAwXcb5/QnjgjLy/NUXXsuQSk7EWMHMJdkcuEOcocniKKGZPUwHfucbV2Ymzjbs6O01qf5Q0nqcmu9aUNQMdiY8n/rh5JV41GswskwqxbqFpAljo5QY/D1c8tVy3PuSFhjZ8dLUO//XdBPY9HDFImIl1wQZHdI9HS7w9kBwhgv94Rd+h8dcJIYQA8aEBnIPMkdFRfL47G/kKNY5dVeLxJRF4ankUhF7u7HYnd2cjT6Fii7pkyYPxjVKDo7nps9KX0ZqT89dEa6a+93QaCmrU6Lk3hF3JcsSJfDAyNobXHl2KQqXWZHzl7AQ8sljK2fY3LJbiclM7XkiJndFxGbVfYs9sFYf1Dg7h0LZUFCs16Lk3hO0rZBC4u+KJQwV4beMKfC8+Aleb2pEcGYQND0h54zX9fa6WibEmWsz5e8+SB6Ox6uZUP75DYs7z9ZZO1Hf0IiJAgCUh/jPW9x8sV3AWvjpUpsCrG1dM+/vrF13zcFmA8AABb9G12U6wW3OsxD5J/QUm4/JsefCkisDZo/6hEQCmuR/mdWtR0piYsGag4+fphuVSIda9fdpgoe1Xz17HmZfW4WpTO/KrVUiXiZCzUApnJ+DYFSXyFWp8/6EIvLZxBfzGG7G1700sV9XaBW93N7i6OANOTnB1cca94VFUabuxUOI324dHCCFzQkPHXc6gS9HWg9gFvchNXMRbCEbqL0BuYgyepC8wnAAAIABJREFUWhaF6tZu/OfpCmTJJch0gJufZOa09w5wzogH7s/SYsZSxlaLXLA9McXkdSZQ5rtxL/UX4LEHw237QQghnLhiIeb/n7ndjOT//gIADGKviACBQT+j7unHOYUK+Qq1rh+SB5vsk+/33jgTH3Ie0/beQ1m9Fl5uCybe2IaWSwNM4vGyei2O5qbP2DEwRdcs2W62J4pZeqzEfjHj8iceCIGXl9dsH86Mqm3rgbe7m8Fr94ZH0dZ+F0tCAqzeHyWNyZQxdwuZwimA7m5h7+AwhJ5ueG3jCrQ21QMA1r19hr2ruL+0GvEh/pyVUoltJYaL8KhelVqFtgd9Q8P4Yk/ObB8aIYTMGcmRQVj/zhn2WvnexVr0DQ3j1Itr0VjFXzyjqasPZ6taUFLXiuVSIWKDfPHFraYZ6eeEQu4iSWT+YdYy3rcpacJZWvpJo0cXhyIhXIRi7TBeu1DKJpGmUqWeEDLzjJ+GKavXom9o2GDtSuY6wRVvATBIJq+LCzH7e+dKPlPMxs3ceZ+Jc8YXj8/VZR6ns7+hcRHRd+vWLSQkJMz2YcwoJvezMlyEFeFCfFXZjPIG7aRzP5Q0nuOMO+u0aAkuNWjxxa3mKXXethwEODuBXTPl2+YOrAgTQi7yxaa/5KOpqw/xIf749Nl03jX4CmrUDh2gNHX24my1CsVKDVJlYuTE2v7RiXtDIwbr2uQmRmNpaADuDU/uEQVCCJmPjGe//Chj8YSzr5q6+rBh/1mTBN7hbalY9/bpSfdzfP20uqcfZXdaER7gjYrmDpTUtSKrExTMOwBmHGW8tnZatAQPLwxhv3/j5MWWZVEGbXQyyQxLx43G22XHBmN0DJR4IvOCq6urRb8F5kYiO7aPC4HUb+oz3SyZockXb+UrVDh5sxF/u1wHYOLrwGwnQe1NXjX/ed+6XGayvTWxuCXb6sfj+muYTnIJU7t0/zypaFxEHNrI6Bj+sSsT52vVKFG2IjU6CD9buwQjo2OT2h8ljecwvs5636Yk7C+tnnTnbetBQF61CtvfL8LzyXJsWRaFX3951aCab0VLJ0rutOFOZz/n3zNr8Dmips5ebDiQx34XB8oUiA/xx8nd2TZNHJ+rUWHP8VKDR5Zertdi/5ZViA70sdn7EEKIvbN29svZqhbOQPG2pgvJESKU1Wut7uf4+umTe3KwYf9Z7NuUhF1HiymYdzDMWsZNXX0GjyG3dPXxJo1SIkWo1HRN6aa9peNGru0KX16PH3xcRm2VzAu+weET/haMbySyY/s9OTZLHJvro/jWPD+nUMMJhhlEgZsL6trvcv4WabKPdQpqVJyvn1OoTZLG1sTizLYCN90TUH8orMSrZ6+bbMvE48ax3tHcdIf4vkzPqYL6GgLAMWee9w+NYMuRApN+6PiOjEntz9mWB0dsi6+zZgJR5r8LargHB9bu19L9qHv6ceyKEns/KsWxK0rEif0g9fPCwPAIPrpaZ5AwZhTUtiIjRsy5v5mqlDoXneW5K52n4B54TFb5+HdSVq/FB5eV7HdUzvFdEUKIIzHu09Q93Dc4+RQruZetuNrUDrlId1PO2n6Or5/Oq27BynDzSUAyf2XJDR8zZvr0qEBvg9f1k0ZykQ++bWrn3F9etQpd/YMTvq+l40bj7VIiRbja3EFtlcwbxXfaJmzPfDcS86ptO7bnY3ydYKyMEEGh7QEASP28cHrvOjydEI2DZQrOvs9cwU1iauV4bG7J69bE4mV3WrFvUxKeToiGh8sCPJ0QjX2bkkxiOOb7Mo71HOX7mmp+g8w/zPj+9YuqSY3v7VmRUs35eyjiiVkmQknjOYyvs9YPRAHrO4OpDAKYu3jb3y/C/tJqbH+/CLvGH5NUaHuwVMp9JyddJkJckK/BmlvA3F5raSbwJRsm+4PmsyaGO2GR6cDnnhBCuPq09e+csWpgmSrjviG6TCqEQtszqX6Or58uUmqwIlzImwR0lODQUTFrVurjal/6SSNzY7OloQF4+UTZhO3d0nGj8XbmEtbUVok9Kqxr5Xxdvz3zj+1nJnnFd51IixazicTD21Lxk08u4IcnynGgTMHZ9/Elnx15so85adES3vNuzJpYPDzA2+C7+uGJcvzkkwsIM3oi1dG/L7rJQfQZju+5r3HzGd/EwMlOGKSk8RzGd/FnAlF2Oys7g6l0Knx38RTaboyNAYvEfpwd5uqIQAgFHjj14loczU3HCymxOJqb7vCPjPAlG9J4Xp+sxLBAzu9lRXigTd+HEELsiS1mpuTEhXBeX1OigvCjjMWT6uf4+uk0mRiXG9p5k4COEhw6KmY904nGUfpJo9I7Wt6x2UKxH/52uW7C9m7puNF4O3MJa2qrxB6lRwVxvq7fnvnH9jMzUYPvOhHg6arrmyZYskYg0CUjLb1JRXQCPF3x5yeS8ebmldidLMebm1fiz08kI8DT1WRba2LxCp6nNa4bvebo35ejJ82JIUefeb4mmvv3MNnrAa1pPIcxF3/j4joLxX5TqorKt19L9sN3F+9KYzv2PZ6ITyoacHxnBi43tqFAoWYLNKiV1YA4gCpzG8mJ5f4usuW27eAOliuwb1MSWzRnmVSIhWI/HCpT4NWNK2z6XoQQYi/MzUyxtJ+S+nnh5J4c5FWrUKRUI00mQU5sMEL9vLCcJ2E2Eb5+Ojs2BL87dxNbV8gm3Y8T+2bJOMq4WFbv4BC+2JODryqbUXanlR0DPHu0GMDE7d3ScaPxdqV3tHjjsQRqq2TeSI0MnLA9MzcSTa/fM5e84rtOnHpxLera7+JgmYLz7/KrVUhKlLD7mKjoHrkvyNsTo2NA39AIPFwWIDxAgBiRD4K8Tc+XNbF4Cc/s9hKlBrmJ0ex/O/r3NZX8Bpl/bDG+t2cZPL+HNZQ0nn+4Lv6pMjEuN7bhhZTYSXcGU+lUsuQS7C+tNn09NhgpkUFIidTdgY8L8jVY9L9xaMiqY3QUUn8BTu7ORp5ChSKlBmkyMbLlwTYtggcAy6UBBkVz3rtYi7Lx4giEEOKozPVp1pD6eSE3MdoggJsKc/30qRfXorxei0PbUnG9pRMlSo3DBYdkYlxJo1Afd/QPjbBjAMZE7d3ScSPXdrFBPg6dyCDzS7eqYcL2zHUjMTs22CZF8KZK4uMJiY8n6trv4gBH4jgrNhgDA/cMtqfJPpZjzq8l21l6XbRmnOLI35f+Oc2rbkF2bAj1NQ7MVuN7eyX188LJ3dnIr1GjqFaDtGgxsmIkk+6HKGk8x3Fd/KV+XnjswXCb79cSdBfP9qT+AuQmxiA3MWba3oP53srqtVOapU4IIfPJXO7T+PppiY8nOwZYLhUiLdAJMlmU8Z8TYmKRyBvXWjom1d4tHTfybeeoiQwyvwwNDVn0W7D1jURbM9f3NVbdnMUjcxyWXlPn8jhlrmHOaZLfGI2LHBz9bnQ5pmcSovGYPBB+fn5T2hcljYlVHP3RF3tFd18JIcTUfOjT2tvbIZPJJt6QODxLZkkSQuY/c31f42wfHDEwH8YpM43GRYRyH/cpFAokJCRMaR+UNCZWc+RHX+wZ3X0lhBBT1KcRR2HpLElCyPxH1wL7Qd8VIdaj3IftOM/2ARBCZlZ7e/tsHwIhhBBCCCGEEELItKHcx9RR0pgQQgghhBBCCCGEEEIIi5LGhBBCCCGEEEIIIYQQQliUNCaEEEIIIYQQQgghhBDCsotCeGNjYwCAwcHBWT4SnYGBgdk+BF50bJZzc3ODk5PTtL7HXGu7jLn2XUyFI34WR267ZO6x5jdo7213rl5v6LisM5njsve2y5ir34kt0GfjNpNtF5jf3wMw/z8fMHc+43S33clcc+fKubEl+ky2R213bnHkzw5MPcfgNKbfy89RPT09qKqqmu3DIPPMkiVL4O7uPq3vQW2XTAdqu8ReUdsl9oraLrFX1HaJvZrutkvtlkwXarvEHvG1W7tIGo+OjqK3txeurq7TfqecOI6ZmHlBbZdMB2q7xF5R2yX2itousVfUdom9mu62S+2WTBdqu8Qe2fVMY0IIIYQQQgghhBBCCCEzgwrhEUIIIYQQQgghhBBCCGFR0pgQQgghhBBCCCGEEEIIi5LGhBBCCCGEEEIIIYQQQliUNCaEEEIIIYQQQgghhBDCoqQxIYQQQgghhBBCCCGEEBYljQkhhBBCCCGEEEIIIYSwKGlMCCGEEEIIIYQQQgghhEVJY0IIIYQQQgghhBBCCCEsShoTQgghhBBCCCGEEEIIYVHSmBBCCCGEEEIIIYQQQgiLksaEEEIIIYQQQgghhBBCWJQ0JoQQQgghhBBCCCGEEMKipDEhhBBCCCGEEEIIIYQQFiWNCSGEEEIIIYQQQgghhLAoaUwIIYQQQgghhBBCCCGERUljQgghhBBCCCGEEEIIISxKGhNCCCGEEEIIIYQQQghhUdKYEEIIIYQQQgghhBBCCMsuksZjY2MYGBjA2NjYbB8KIVahtkvsFbVdYq+o7RJ7RW2X2Ctqu8QeUbsl9oraLplJdpE0HhwcxPXr1zE4ODjbh4IbN27M9iHwomObe+ZS22XMp++CPsv0mYttdybNte9jNtnbuZiutjtXzwMdl3Xm6nEB03/dncuffaros80upu1ev359tg9lWtnDdzFVjvAZGdZec+fjuaHPZJ+o7VrOkT87YJvPbxdJ47nk3r17s30IvOjYiCXm03dBn4VMF/o+7qNzoTNXzwMdl3Xm6nHNhPn82emzzQ3z/UazPX0Xk+UIn3Gy5uO5oc/kGBz5nDjyZwds8/kpaUwIIYQQQgghhBBCCCGERUljQgghhBBCCCGEEEIIISxKGhNCCCGEEEIIIYQQQghhUdKYEEIIIYQQQgghhBBCCIuSxoQQQgghhBBCCCGEEEJYLrN9AIQQQgChUDjbh0AIJ4FAMNuH4HAW/Mt71v3B325i5He503MwhBBCCCHEblGcSaaCksazSN3Tj3MKFfIVamTJJciUB0Pi4znbh0UImUH3rwMqZHWCrgNkTtDvn9KjRAjo6ad2SQghVqBx/vShc0scCbV3MlkUZxJboKSxlWw140rd04/175xBRUsnAGB/aTXiQ/xx6sW19EMmxEGYXgcUdB0gs476J0IImRpbXkdphpgh6qPIbImIiJjx96T2TiaL4kxiK5Q0toC1M66auvpwtqoFxUoNUmVi5MSFQOrnZbDNOYWK/QEzKlo6UVCjxpZlUdPxMQghcwxdB8hcZGm7bOrsxdlq1f2+LjYYUn9ayoIQMvNcXV3n1Gw8vuvo17eb0dzVjyihYMLjoxli3Mz1UZnyYHx1q8lsDMaYS+2FzG2GsX232XZlaxQrkMmitkNshZLGE7D27l5TVx827D/Lbn+gTHdH5+SeHIPOJV+h5ny//GoV/YgJcRB0HSBzkSXtsqmzFxsO5Jn2dbuzKXFMCJlxvsHhc2o2Ht91tKhWg/6hEfz8iytmj49miPEz10ddbWrH63k3APDHYADN3iSWszS2ny4UK5DJorZDbMV5tg9grjN3h4bL2aoWzu3zqlUGr2XJJZx/nxUbPIWjJYTYk9VRQdyvy7hfJ2QmWNI/na3m7hvzFCrjPyOEkGlXfKfNqvH6dOO7ji6TCqHQ9gAwf3zWxh+OhO/crpYF4ZxRkoQrBgPo/BLLWRrbTxf+WEE8I+9P7BfFmcRWKGk8AXN3aLgUKzWcrxcpDfeTKQ9GfIi/wWvxIf7IiOEeCBFC5p/40ADO68CSkIBZOiJCLOuf+Ps67tcJIWQ6Fda1cr7ON16fbnzX0YViP5TVa9nX+I7P2vhjvlL39OPYFSX2flSKY1eUUPf0857bJSEBBueWYRyDAXR+ieUsje2nC3+s4M/zF4ToUJxJbIWWp5hAllyC/aXVpq/zzAhOlYlxoExh8nqa0d1AiY8nTr24FgU1auRXq5AVG4yMGAk9EkWIA6lp7ca+TUm4renC1aZ2LJMKsVDsh1ptN5ZLqfANmR3G/VO6TISchVKD/snSvo4QQmZCelQQ9peaXpNm6wk+5jqar1Ahv1qFVJkYYf4CPHu02KLjszb+mI/4lpA4vXctZwxVyDNLOE1mOiGHzi+x1GyPdxo67nLGCo2dvRQrELMoziS2QknjCTB3s/UfSzE3I5h/e9NBiMTHE1uWRdGaMoQ4qJSoIGw8kAcvVxfIRT5472It+oaG8fnu7Nk+NOLg9PunyspKkxuaOXEhnH1dlpwCbkLIzEuNDLRqvD4TJD6eEHm5I9TPCysjRdh65DyauvosOj5r44/5iG8JiXyFmu2f9GOoVTIx5znL5kgE0/kllmLaisBNN1ZXaHvQOzjMGdtPh+TIIKx/54xJrHDqxbUz8v7EflGcSWzFoZLGk6mSa27GFdf+zlQ147Pd2TinUKFIqUGaTIxMeTA+qajHy+mLZ+iTEkLswaXGNny+Oxv549eLl1LjkCUPxuXGNoRRMTEyzSztE3t7ew3+u6mrD6V1GhzalorrLR0oVrYiVSZGplyC/6G+jhAyC7pVDXPyCb5Abw8EeXvgUJkCR3PX4HJjG87XqJEcGYTHHpRidAw4dkWJK00deC5ZjksNbSioUePRxaE4uScHxUoN8qpbkB0bMic+z3Th6o+uNHVwbstXxEnq54WTe3KQV61CkVKNNJkE2bHBnMXKJD6e49u2sPFadmzItJ3fycSgZG44U9WMz3dnI69ahWKlBi+uikN2bDBO327GruTYaX9/47b6UmrctLZVMn9QnElsxWGSxlOpkss144pvf58+n43HDuQhKVyEhDAhztdo8LtzN3F8Z8a0f0ZCiH1JCAs0uAP8VnEVfnfuJt0BJtNusn2icRXx5AgRMuUSrIsLgfTf/46juekzcvyEEKJvaGhozj3Bp+7px66jxez1skipQW5iNP4tZwlq2+5idAzsdfj03nXY8tcCk2ty3kvrkOQ3BpksatY+x3Tj64+O78zAG/k3TLY3t4SE1M8LuYnRyE2MnvA9N+w/azL+siQutFZ778CkY1Ay+9bGhWLjgTx2pvE731RhX8FNfPr8zIzVZ7KtkvmF4kxiKw6TNDZXJXfLsiioe/pR0dyBhs4+hPt7IT40wOyMK/79qeDl6oKD5QocLL//b5cb2xAX5Gv7D0YIsVv51fevI/rFW84p1HhmgoCHkImYm9k0UZ/IR7/NArp2W1avxSKxH361Lp4e7SWEkHHMdVbq54XD21JRqenClcZ2eLouwMNxoSi704qKlk48nyyHsq2H85p8plqFhzwGZukTzAy+/uhyYxu2r4jC3y7Xsa/bagkJ/ffUH39N1AdaSr//XR0VhH2bkvDs0WJ2eRJL+lsyN5TfacW+TUmo1HTh26Z2PJ0QjUViP1yob0VEwPTP1pzutkrmL4ozia04TNLYXJXcLLkENdoeVGl78G1TO/qHhfByc4GzExDkzX0Hj29/RUoN5CIfk+q9BQo1ti6XTe1DEELmlWKeau/FSg115mRKJppJbK5P5AtCuvoHeauFF9dp8PtNSfByc5hhBSGEmMVcZw9vS8VPPrnAXo8PlCkQH+KP959Ow+m96zA6NoaPrtZx76NahaTE+X0zjq8/KlCo8ebmZDz2YLjNlxyZTB9oKb7+9/C2VKx7+7RN34tMv5ggX4MnBgDdzYtD21KntF9LlyyZzrZK5jeKM4mtOM/2AcyULDn3gOv7SyPR0T+EH3xchh+eKMeBMgV+eKIcP/i4DB39Q1bvL00mhkLbY7o9VeMlhBhZE81deXkNzdYkU2RuJjHA34fx9VXqnn788EQ5HgrlrracJpNQwpgQQvRkySVIiRShUtPFeT12XeCMn3xyAf/3q6tYylPJPis2GAMD83umsbn+yM/TDVuWReGtJ1OwZVmUzR7H55utnMFzLNbg639va7qQHCFiX6PY0D5UNHdwfp/XW7jX3LYEc2Nh+/tF2F9aje3vF2H9O2eg7uk32dba8RohDIozia04TNKYqXyqLz7EH8mRIhTVqjk7g6JajdX7y44NQd/QsMnr9MguIcTYivBAzuvI8jDu4JEQS5mbmQLw92FcfZVAIMA5hQofXFZikdiPp++j4IUQQvRlyoORKQ/Gt03tJv+WEilCsVKDipZOlN7R8l5bM2IkJsVI5xtr+iNbSeAZf60IC5zyvvn636tN7ZCLfNj3otjQPpTwzNYsUXK/bomJbuzrm43fB5kfKM4ktuIw04IkPp6cVZW93V1RbrSUBKO8XovnkuVW7c/c64QQou9wuQL7NiXhtqYLV5vasUwqxEKxHw6X1+C1jStm+/CIHcuSS7C/tNr09fHkrjV9lbu7O/IrdIHMs0eLcXhbKttmkyOD8J1FoQjlqE5PCCGOTOLjiX/JeACf32zEgTKFwb/JRT4G8YfBtbW5HTmxIew1uXGmD3yGzUbsdLCMe/x1qEyBV6c4/uLrf9OiJWjp6sPR3HSKDe3IROOpybBmyQnKLZDJojiT2IrDJI0B8FZVzogJxv5Shcn2mRM8osS3v7lWvZkQMjctDRVi3dunkRwhglzkg/cu1qKsXosPnkmb7UMjdo6ZmWK8Bp/+zBRL+6qBgQE2aGrq6jNosxEBAkoYE0IID6HAHesXhZpcj8fGDOMP/WvrvscTkRIZNFuHPCtmOnZaLg3gHH8dzU2f8r75+t+HF4ZQos8OWTKespa1iWjKLZDJoDiT2IpDJY35FpzPjuXuDLLkphdugWD6q6QSQhwDc+1xcgL7P75rDyGWYPq5K00dOL4zA5cb21CgUE9pZkpvby8y4yIRH+IPgZsL5CIfKLQ9uNbSYfLYGyGEEEMSH0+c3JODvOoWFCk1SJOJkR0bAhdnJ5P4o29oGDKht8HfU+xhe0wisKxeyxYvt9Uj/5OZGWppUTQy8/h+v1P5fqYjEU2IMYozia04TNJ4okry5jp3/Y48PUqEgJ5+qzsKGgwQQoy5OAP/2JWJ87VqlChb8cKqWKyJlsDFYVabJ7Zk3M+9kX8D21dE4c3NyfDzdJvSviU+nji5Oxtnq1UoVmrw4qo45MRSP0YIIRNp6urDhv1n4eWqu+n2VnEVfnfuJk7vXTthclHd049LPS74749KKX6wgKXxFlfslyWXYHQMOHZFOeV4zZqZoRPFqGR2qXv6OX+/U/l+rL2xQHkEMhkUZxJbcZiksbkF55lqvFyduy06choMEEK4tPUOYcuRAvbacKBMgfgQfxzfmYFAAV0biHW4+rm/Xa7DYw+GT/mRxqauPmw4kGfSVk/uyYGUlqcghBBO7b0D+PxGI3vtLNNbxzhfoWZjD65rNMUP1rH2fBnHfrN1vieKUcnsyqtW8fx+Vdi6XDbp/Vp6Y4GuA2SyKM4ktjJj9xm+/fZb5ObmGrz22Wef4amnnpqR95+okjwfa6qbTuc+CCHzT5FSzXlt+P/Ze/O4ps60//+DIgoBAiEESFgSCKDWhUUWBWSTWqeLnbZjRYvVqq3tt/1++3RenXHaaZ/5tY9PO8+0ztbFFqu2tm5tnTozto+lbAoKKKJ1BQJhJwkhENlEtt8fMccs54QEEiBwv18vXy9JzrnPfXKu+76v6zr3dV1FtYpJ6hHBntGuc/FBXDwVLUJ8EFfz+Sjr3Gh4eXkht6qVVlbzxtk2gUAgTGeq2m7hYlM77XcTYYPMJMb7e03W7z1WG5UwMRTWaJ6DoW5VwPDcrA2ZBwhjhdiZBGsxIU7j7Oxs/P73v0d/fz/12fXr1/HNN99gZGTEKteQd/XhaIUUO74uwdEKKeRdfXrfpzIUtRut8qk1FnI6Qz4+iIue/kGz2yAQCNMPbeV0Q0VUt6I6gWAuv1jAR86ODGyMDsY8x9nYGB2MnB0Z+MVCwbja5XA4KJbSK5hFUmK0EAgEAhOFNXIsFXCodX5rnJha7w1tEF1bpqSujTgTLWS8v5c553M4HMs7NgpjtVHNZTQbmWCaFLEvrW6VwvDcrA2ZBwhjhdiZBGvhMGItr60JTp06hfDwcPzmN7/BsWPH0NHRgVdffRWvvvoq3njjDRw7dszk+f39/bh69Srj914BwXj0iyKjZPLfbUpEe2Ot2ccYwmKxUN7liE1Hzhl9dzBzOVKDecirUeBMXRuShN5ICPLCLVkjBgYG9Nq4fnsuPFjOuKlQo17Vjc2xYpQ3tqNIKsdKkTdWBBqfR7At0dHRE3Kd0WSXMHPx8vLCpa5ZcJ/nhJsKNS43q7BUwMF8Hhtdt+9gqdsw2tuNdycR2SUwwQsOx8Of5Rutc//amgpFbaVZbcyZMwdc/yAMOjgiXyLDWakCicE8xAV6Y9WeHDSre/WOP5C5Aknc2bSyagiRXfOJPXTd4nPKNiy0QU8IAJFdgoY5c+bA3TcAxfXtJnV/LVobICKAi9yqVpQ3qbBcyMUSPgfXWjuRIuZB1VCLgYEBIzslPoiLTctC8MK3pUbtHsxcjijXQfT09IzaZ3uQXUt/VzpGs9lG+71Mnf/NpkRECzxxRqrEmbo2rAz2wbIAL+wrk2CxD9vivhoyFht1KrRtayZCdkeTWxaLBZZPAB7+LI9Gt0pDj7zRrHFoiLkyP165nkisMY6nC1NBdsdqZxJmLqbkdkJyGq9evRpNTU0AgKGhIbz++uv43e9+h7lz51rUzqJFi2jPOVohpd16X9aixjqdm2dKOC/kMf9Anl199NVNQ/lYk52rk19IwphfyO1uAYwrrZ3I2ZGBzIOnzTrPUsrLyydMObSUqdy3iYBJdieD6fQs7P1eHDt78NBeY0X039vS4O/BglAonLzO3WUqye5EYo+yxbQWnqtX6q2FppB39aH3ziB+uc84f/GRrCQkfXCKOnaxnwfSQv0gYLtMCVk1xNqyO6EyMQan8VST16k6hqZqv3Sx1bxrD/c+Vibi3oxzi46uw+vaAJpzNPlId6+NwUN786lzDefvknol3l4TSWuDpIcLpnQuU0ufw1h+VzqYbDZzfy+m82OFPgbPUEI9w4w9OVax48Zio5o++4zlAAAgAElEQVSDuTayLtN5nmDC1Jx7+CL9b1hcp8D6yPljup4lMj9euR4Naz1va41jazCTZNiU7NqDnTkRzCR5oMMa9z/hhfCuXbuG+vp6/OEPf0B/fz8kEgl27dqF119/fcxtmgrb0E0ub0klW91zdBfyJBEX6eEClNa3mV20oKhWk08mPoiLmwo1KXZAIBAA6BfX0HKltRP5EhmyloVMUq8I9oq5a6EpGlTduM6wTtV39ODk9jT840oDEkU+SAv1JUXwCATCjGEsBcu0NoDhOZUKNVzmOFLn0s3fmw8X48TWVFTKOlBY26bnTJxOWKsQnKHNZunvRXf+qlA/5FS1MD7DuEAuShuU47bjxmKjmoM19IKZjjansSEFEvmYC+FZIvPjleuJghR0nHoQO5NgLSasEJ6WJUuW4OTJkzh48CB2794NsVg8LocxYPtcUNqF/ONfxSPKdRA+bs74/kYL7bF0+YW0C7aY64bLzSqzzyMQCNMb5jyxpEABwXKssRb2DQ7jrLSN9ruCGhkemC/AJ79ajqxlwcRhTCAQZhRjyS3KdM6lZhXEXDfqXLr5u1ndi+q2W4j3mo2PfxWPdRHCKecosgbWzNmqa7ON5fcyPJ/DmjvqMxxrXycCW9vIM4HYQK5Fn5uDpTI/XrmeCEju5akHsTMJ1mLCnca2IEXsi8V+HnqfLfbzQHKI9RPUa/MGWbIIa4+VKLuwVEBfQIEs3gTCzCNBxKP9PJHhcwLBFNZYC50dZ2GFyJv2u0TRxBR9IRAIhKnIWBxwTOdECDiQKLuoc03N39M97+RUd2yO9gyBqdNXQybSRp6uJAb70P6GicFj19WnusyPhel4T/YOsTMJ1mLC0lP4+/sbFbyj+2wsTGTYhpeXF4B7i7BRrmOaRVh7rKn8ZGTxJhBmHumh9PNImpgoWATLscZaGMJ1B8/dmV4uieJPIBBmMJbo/qOdEyngoEndi1WhfgBMz98dLJbtbmoKMJbfdSJh6l9cEBdfltdOqb4aYi+pDaYyns5z8NHjcbjc0oFLzSpECDhYyveEp/OcMbc51WV+LEzHe7J3iJ1JsBYTntPYVow3F5S8qw8FEhnyJXKkin2QIvalFtRmdS9yq1pRLFUgQcTDHM9eCNguZi/Cugt2TmULjj2djItN7SiUyLFC5I1Ffp44V9eGhb4e2FcqQaTAU+/6BAJheiLwYOHktjTkSWQokiqQKOIhTewLgcf0NhAJtsOctbC5swe51TJqTUsP1cicdh1UdN/Gv7elId9QLkk6CgKBMENgsgvM1f2151c0d1B6f4FEjthALhJF3pg9ywFDwyPIqWqh2qabv+VdfSjvcsRfvi4xsk+mC5Pl2Gzr7kNH3wCKauUoa1AiOURz3QuNSnx/o0Xv9z65PR151a3Umpgc4osvL9TgueVhSA/zm9LPxFb5kmcK3q7OGB4BegeGMNdxFgI9XRHCdYO3K/O4p/Mn6GKpzBv6ItLD/CZUJzPnvujGSVro1B4b0x1iZxKsxbRxGo8H42qf1VS1z8HhEb2Kudoq8ie3p0PAdjF7ETZcsLkuTvi5pQMfF1ehtEEJAFavxEsgEKY2zZ09eHBvHlzmOELMdcPHxVV4v+A6Tm5LIws6wSZoZc5oTduWRn2esyMDD9HIJVmTCATCTMCUXWCOA87w/D/lX8OGKCF2pi/G9qPnsP3YObN0/tH6MZ2YaMemvKsPNcouvPBtqc7vK6GeS3ZJNfV7n9yejgezc43WRGKzzRy0L3WkUilEIj/aYywdr+bKfLO616QvwtaYe1/yrj7acULGxuRB7EyCtZgWOY3Hi6lqn5ebVbTf5Y0zqXtOVSv+mHeNchhr29VW4tVen0AgTF9y71a1LW1Q4quLUpQ2KDXzi4QUjSDYhlyGSsp5EhmejBAiPoiLmwo1rVySNYlAIMwETNkFYz3/0MU6nNY53xydn6kfVw0+I1jOlZYOXGrpoP19a5S3EHe3yBnLyRG5Va20ayKx2WYeKhV9QXvg3niND+LiqWgR4oOsIxta+dPFGr4IczF3PtQeR3THqQOxMwnWgjiNYbrap+xWH+13xVIFVD238cX5Gjx37By+OF+D5k5Nkbxmda/+5+pes69pD5V4CQSCdSBVbQkTjSmZe255KGICuLjcTG8UkTWJQCDMBEzZBSV1Cuz4ugRHK6SQd+nbCPKuPpTUtTE6c3R1fMO/6eZXw34I2C7I2ZGB+o5uxj4QzKOxs5dxrbvQ2E49l1Vhfjhb10Z7nOHzMyUbhOlPRXMHcnZkYGN0MOY5zsbG6GDk7MhARRO9nMm7+nC0QjqqzDDrbRPjjDU1H47lOMLEQexMgrUgTmOYrvbp604fTpES4oP/9915bDlyFntLJdhy5Cwe3JunCQPIztX/PDvXyHFsz5V4CQSCdSBVbQkTjSmZO/5zA55aFozkEPq1hxQzIRAIMwEmHT3Sn4NXTpQju6QaG74swupPfqIcPdoQ7l//8wKWCji05+vq+IZ/0+n8hv04kJmAV06cx/ZjJbR9IJiPwMOF8TktC/Cinsuzy0MRacbzNCUbhJnBM7FivHLiPF46Xoa9pRK8dLwMr5w4jy1xYqNjtfPFhi+LRpWZybYVTPlJxnIcYeKYbNkhTB+I0xj3qn3qoq32uVTAof0u0p+DQxfrjEJQ8iQyxARw9Y6nCyHJCONjZ/oixAdx9doN57FR2qAk1UYJhBlA2t2qtrrzyGI/D6SSqrYEG8EkcyliXzz3TSl+bulAbJAX47pHIBAI0x0mu0DMdTdKK6cNvdaGZpfUKxEbyDWp4xv+vdjPA6tCjfOk6vZDN3WQLiT8e2wIOa6I4HsaPeeNUSJkhPPxwAI+dv0iAj9VtSLU251WHnSfn5jrDgcHWDUtAWHqweEw60EXGttpx2d5Y7vRsZakwGH2U1jHVjB1T6av70N7nKF+SfwZkwexMwnWghTCw+gVTDWVQGUoksqRKOIhI4yPfaXVyNmRgZsKNS43q7AxOhhvr4nEqcpmRPtzsK9M/xpFUjmWB3lhb2kNnokTo7yxHe09/XhueRg+eDwO9apuLPT1wP5SCQ5nJU1I1WACgTC5XGvtxL+3pSGvWoZiqQLPLQ9DWqgvrsk64U8KFBBswI+VLbQyd1OuRs6ODORUtsDLxQnHt6SgqFaB4joFEoQ8JAbzcKRCitdWLZnsWyAQCASbIO/qQ4FEhormDhx7OhkXm9pRKJEjNdQXod7uWPtZvtE5+dUyrIsQIl8ih4DtggOZCbjQqER7Tz+eXR6KDx6PQ63yFiL9vVBUq8C2ODFWhvggyt8LB85LcOipRCSIeDh5owlFtQokiHhIDvFBpUKNpQIOcnasQs7NZvQPAaUN9GkStH0g3HuG+RI5UsU+SBH70tpT+0olePg+fxzOWolzdW2oaruFZ2JDcKFJhXdzryAmgIukYB7uDA3jmSPnsHttDCoValxqVmFliA+iA7zweVkNDmclYT6Pja7+AWyMDtazCXMqW8hzmSbckysZUjtBK1ena+nTMBTWyJAZJdL7zFQqB0OZOXGlAf/aloYCiQxFUgUSRTykiH3x3ZUGvJS0wKb3BIzuJ9E97uT2dORWtVL6ZXqYH/FnTCLEziRYC+I0voupCqYCtguylgUja1kwWltb4evujMeXBuHJL07rvSVc7OeBo5tW4r3860ZtJAh5+GPedWRGibDu80KjCqR7nojH2z9exgePxYHt7GSz+yQQCFOH+/w88NDePKOKyP/eljbJPSNMVxKDfWhlbvfaGLxy4jyObloJx1kOeGx/AVVtec/ZKuwuvI6jm1ZOcu8JBALBNmjDxbVz45/yr2FDlJDSy49WSGlrlGhDr1PFPlgXIcQrJ84b6fjfPZOKkF3/QFwgF2KuGz4sqgQAvLUmAqHebrRz8vEtKXj1n+X4+2OxWMF1hFAohIvTbGSXSBj7MNMxfIba3//Uc6uMHFeRAk+s/OAU4gK5WB3Ox1PRIqzTseuySzTP4aPH4/DuQ1HI2JOj9/zefyQa7zwUBQCoaruFTYeKjGzCY08nT9CdE2yJsVxJaOVqZbAv7fik2xGcKvZBdkm18ec0Y/n++Xw8vDcPMQFcRPtzcLpGgfcLxqeTmXtPWkz5SXTbfDA712guY2qTYHuInUmwFiQ9hRnoJqrPa+qBqqcfF5tUtGElFU0q3B4c1Pt8sZ8HEoN5uC7vZAwtq2hWoUbZjVOVLTa/HwJhujBaSNVUJ6+aPjwtn1S1JdiIcobwyUqFGi5zHFGv6kZZQztttWWmYi4EAoFg70jbu8Fy0t9Lc+hiHaWXjxainRHGR3XbLdr5taS+DRuihHpzau/AIARsF8Yw9WKpAltiQ/Dbf5fjrHIQ8q4+KtSYqQ8znbGE/Jc2KPFjVQvO1rXRnnu5pQO3bt9BXCAXpQ1KFNTI8d4j0ZB29GDH1yX4qbKFdl1lOTlC1dNv/ZskTDjmytWyAPrUXtEBXkZtmpvyAQDlc9hXJsH/OV6GfWUSyncwViwZK5PZJmF8aO1Mw3SqxM4kWArZaTwKdG+td6Z3oZ1BESiokeNvv4zF/eF8KoQkVeyLHV+XQsx1Y6zUq63AqxuWYm6IFYEw0zA3pGqqY6qqbdaykAnuDWGymMi5nkl5165BzepelDYY59/TnrveIMSSQCAQ7Bnt/JtXLaPSCmw+XEztKs6rlqG7fxBclhNObk9HsVRBG6LNYc1ldOIUSGT4n4eW4cGF/iiUyLFCxMMiPw84z5mFs1L6lBNFUgUi+Rxkl0j0dgGaEyY+U7Ek5F835L6nf1AvV7Uul5pVmOfojf95OAoHy2vxSvJCvUjTvoFBzHOcTR2vTVFyU6HG/jIJ6ju67VZHJWgwV672lUn00phECDgI57Gxv1RC7UrXok3lkFfdSvkL0kLpUzkw6W2FEjnWR45NJ7NkrNiqTeLnsD3XZJ2M6VQJBEsgTuNRoHtrViCR4bnlYbRhJckhPvjr6RtoVvfphZDsXhuDN36owMboYNrrRAg4OHihFi8na3ITWRJiRSDMJCwNqZrKJIh42FtqHMpGqtrOHCZ6rk8OoQ+J1K5Bv4oQIkHkTXvMCpG31ftDIBAIk4Xh/AtodvsdyExAxp4cAMBSvif2llRTBc/yns9gdKowhZwv5XPw+IEChHBdjdLQMekBCUIeztTee7Gs3bGnDREnuXKNsSTkH7gXcg/gbuoP+rXR08UJn5+vRYCHCwpr5HryIlF26dl2BzIT9FKUkBB9+4dJb0oW6+8KXsr31EtjcvBCrSa64KlEo3O1qRy0acA+Lq7C+wXXaeVkhZBJJxu7rWDpWLF2m8TPMTE8EydmTKdKIFgCSU8xCnRvzUrqlVhMU3F3sZ8Hov298GNlq1EIiUR5CyMjwHwem7ECb+/AIBWWQkI8CAR6ptPYYAo1JVVtZw4TLc9R/hyTa5CA7YxFfvTr2yI/T5v0iUAgECYDpvm3UqHG1jgxdqYvQszdtATa736qZg7rZQo5D+exUdqg1Et3oSU9zI/2nMRgHvaV6TuT801cm2BZyL+55y7le8J9nhP2lUlQ096F8kb9SJySeiVl28UHcRnTENqjjkrQEH037YRuiP9iPw9E+XvRHqebhobuOODe3OPgAOofk5ww+RwWGXxmCeMZK9ZoczrZclMZU+lUCQRLIDuNR4HprVm1Qo09T8SjolmlF4Kyr6waYq6bUZjTxSYV3loTgVM3m3E4ayUuNrWjqFZBhag1dfbovV2zRdgIgTAdmE5j45qsk7Yi8g1S1XbGMJHy3HtnEN9ersfxLSkolipQLG1Dgsgbi/w8Ua1Q44dnV6FGeQvN6l7aEMumzh5ECuw7jziBQCBoYZp/L7d0IGtZML4ql+JCoxI5OzKolBWm5mZtyoMfb7agqE6BCL5m7tx8uBiAJnVBqLc7jlZIqZDsVWG+d8PUZSiSypEo4iE5xBdPHCg0at/eC97ZOhxdN+WEpek7fNyc8cWGRFxp7cCZWgViA7lIEHljYGgY67PzABjvKtay+XAxfno+Ax29/dhHs2scsE8dlaDhm7t605laOc5K2/Ds8lAkBfvgaEUdfrdqMXXcvlLz01NUNHfQpg3IqWwxkpPGjm6r62S6YyWvuhVpoX7jTnVjyfibTrbcVIbJCV9A0s0RLIQ4jUchMdgHi/08jLb1xwt5EP3XcWyNEyPan4PyJhVePF6GA5krcLrGOE9pUjAPRyvq0D84hK1HzgIAdj+6DPFBmnBfw0nfFmEjBMJ0YDqNjQU+Hnh4bx6ejBBi3VIhyhqUeHhvHv65lVS1nSlMlDzLu/rwydkqPBkpxGP7CxAbqKnC3dTZixtyNZ5bHgY/d2f4uTtTYYPasMmDF2rROzCIU8+tsmqfZhKzf31wsrtAIBAMYJp/o/w5+O2/LlIbQHRTVow2N/u4OSOc5w4/tgve/OGS3iaS41tS8M3lehRIZCipV+qFZGctC0bWMo1DUt7VhztDQ3rt2nvBu4kKR9emnBiL4+mGvBMfFlVidTgfjR09ON7VBz7bmcpvXVKvxNtrIo3sQo6LE9jz5iDM2x11qm7adCOR/hyoem6Dw5o35nsjTA5PLA3CY/sLjFKOHHs6We+4SAF9eorDWUlGbT4TJ8a6zwuN/AuGbQJAXJC3TXQy7ViJYY9AJBKOqy3DNkcbf9PJlpvKrGRIrZJix2sJYXIg6SlGobxRid1rY/DBY7HYFifGB4/FYvfaGNyQd6Ls5V8gQsDBxSbNW78zL65GmtgPvQODem1o01Zck3XqVU0WcVwZr2uLsBECYTowncbGNVknjm9JgYDtgmOX6yBgu+D4lhTckHWOfjJhWjBR8lwgkeFUZQuuy9TYvTaGWrvYzk5YFcbHJZ0CTtrdIi8nLwDLyREvJoSSPHMEAmHawTT/irnues5ebcqKDVFCs+bmII4rXObMpuwBAdsFxS89gGuyDii7b2NjdDBydmRAwHahDcnWzsGHs5LwbHwoDmYut/s52B7C0VPEvugdGMRbOT/jrZyf8fsfLmHl3c1DWjYfLsZHj8fhq6cS8Wx8KA5nJeHUc6swywE4WiFFGEMaQjHX3WRqE8LUpbyxnVZ2LzbppyrRzieG6Sno5gxz2wTuFc17PiEMzk6z8XxCGE5uT7fafKBSTXyqgulky01l4gK5tL9zTCB3knpEsFfITuNR+P5GC7JLqo3eGl545UFsOVxs9Ibwy41JtCEkn5+vwe5Hl+HzshqzwqXGE2JFIExnbBFSNVn4ujtrdn0GcBEVwEFRrQK7C69jf2bCZHeNMEFM1FyfL5FDzHWD0MsVWw4Xg+Wk2bHyVXkteu4MGsmc7m6Rmzdv2uX4IhAIBFPQzb+h3u5Y+1m+0bGXWzqMitiZaneWA3Ds6WQU1SoQ6c/Bnwuuw8FBk+JAu1NRu3uZLiR7us3B9hCOTicP7vMcjdKHBHFcsULEw/pITXi3vKsPGXs0u6gFbBccyEyARHkLF5tUWMr3pFKUPLhAMGXulWA+TC82CiVySgYAy/Q5c9sELCuaZy8QP8fE0DcwiI8ej0Nb92209/bDy2UuvF3noc9ggyOBMBoWO43//Oc/4z/+4z9s0ZcpiTZ8orRBSe06iA/i4kpLB+0bwkvNKnxUXIlH7vPHukghmjt78fl5CTYtC0F8kDeVjoIOulxfpEIygWCMLUKqJoOatlvYvTYGEuUtlDe2Y1mgF9ZHiVCrvEVyx84gxhNOay6pYh/kVssgaVPrydzTMSEQc91Rq+xilLmenh6b9YtAIBAmE8P592iFlEpHoEtaqK9ZDmMt3q7O8HZ1Rpi3Zn6NF3rr5S7dfLgYlQo14gK5SBab3l03HeZgewlHZ1qPtelD6uo0UWG6XGnpwFK+J1hOjiipV1IpCt5aE4GjFXV48XgZAOZ7tXWuZ8L4sER2bZGeQXeXvm4ERGGN3K59BOb+VmR8jJ2bcjU4rHlQ9vTjfKMSMQFcuM1zQqtCTYpbEyzCYqdxfn4+Xn75ZTg4ONiiP1MObfiEroM4ReyLs3VttMcXSxX47pkUFNbIwHGZi+bOXjjPcYSi+zbkXX2Mk9xE5foiEKYTKpUKIpH9JvIP47Gx6VCRUZ60LzYkTnLPCNONFLEvfm7tRDjPg8gcgUAgMECn95sbNi3v6kNetQyXW1TYHCvGxUYVFviyaSMTD2Qm4GiFFCliHwR6sEzaCNOB8fyuU4n29nYIhULqb3lXHxo6ezDPcbbeC4HSBiW+vqSpZQNo7jVBxDNqj9h/Ux9LZNdcBydTzSQ6GZkKu/Qny3FLxsf4MLQzs0uIzk8YGxY7jT08PPDAAw/gvvvuw9y5c6nP33nnHat2bKpgGD6RJOLigQUBOHmjCdkl1dj1iwjEBnJR1qDE699fwgqRNz4qrkTWsmA8fqDQ7EnOVK4ve36LSCAQmLnaqolYiA/SpL+RKLtQUq/ENVknlvDJG2CC9fBxc8Zr6Ytw4mqj3lqjlT1ZVx+WgF7m+Hz+RHWTQCAQJhVDvf+ZODHu8/WAi5Npk0ne1YdX/1kOBwfg+RXhWP/FabCcHLExOphWv2/o6MarKQsxMAKs/uQnvPdI9LTW96dLOLqXlxf1f0OHVnwQF1nLgnH2pQfw5MHTWLsoAEPDI3h0cQA8nOeiu3/AqD1i/019tLJ7tbUTDR09CPRkYZGfh5HsauVBm/7rb2du4p3cq7S2//kGTc2kWQ4jcHBwwMjICIZHHHChUQkBO1DvWO2uZEOfg7V26XM4piMbtfelLaCcWy1jvC9rox0fhnYSGR/mQexMgrWw2Gn8y1/+0hb9mHRMvUEzzCvGYc1FotAbdW88hvxqGY5W1CFBxEPdG4/BaZYDHML5OFXZQqsEnLzeDF+3eYgJ8MKdoWHkVsswODyMMp1wE13yq2VYwHPH4Igm/OlsXRsJzSAQpgk/t3YiZ0cGbirUemGrP1a2IDPKfndQEyaP5s4eal25P5yPvGoZiqUKJIh4eGihP07XKgCAyruolb2mzh69nW7adrTnpjv3QODBmsxbIxAIBKuh3RVcWCNDTAAXicE8uM9zgp+7M6X3J4h4OCdVYK7jbFxt7cDpWjliA7lIFfvCafYs/FQtw9m7c2RaqC8evs8fiu7bqG3vwpXWTjwVLcLlZvoiUyX1SgyPjGCeoyO+3ZwMjosTSuraUFgjh5DD0tPzvQKCcbRCavfh2dZMxWSNnY/N6l7kVrVS69yqMD84ODggp7KF+iwjnI+RkRH8dPe4xGAe5nj0oFJxC1JVN5XH+KunElGv6kGRVA6n2bOwf30C5s6ZhXN1bfBynoswbzfkV8uwu+A67g/3Q3yQN6SqbuQxFMfLq5ahu38QLKfZdvu8pxODQ8NoudWL0oY2OM52wHyeu9ExpfVt2L02Rk+nn89jo6xBiYfvC9A79rq8E+sjRThTK8dZaRtWiLyRFOyDIxVtWLtIv937w31pfQ6uTrOM+mCku4X6Mupu8q4+XGnpQGPnIGrutGAx35NWzi43q3B8SwrV1wSRN3amL8LPLR3ICDd2nFtzR3JFcwetnZRT2UKcxmZA7EyCtRiT07ipqQkSiQSJiYlobW1FQEDA6CdOYSwJfdDmFZvjOBsP7c0zCvE9uS0NvQODKJYqaK9VWt+GvoEhLOZ74uG758cHcbExOpj2+Eh/DtzmOeHRffkkNINAmGY8EyvGui8KjcLTjm1KnsReEeyV5s4ePHh3Xal/4zGjNWpjlAhrFgiQXVKNA5kJeOXEeaM17NRzqzA4NEy1o/vdyW1pxHFMIBDsHmO9XzPHffR4HIZHRiBgu6BZ3YsHs3Oxe22MUXjvmRdX44VvS43myONbUnB7YAh/PX0DgKbo3fMrwrG3VGLUh6RgHj4sqkSTuhdHspJwrl6JMzVyLBVw4O3qjKyvinBwoyaE+NEviogNoIM1Qta1z9fwGX70eBy2HDlLfcb0rA89lYSjl+oAAAcyE/DS8TJaeQrnsTHPwGZ8MlKEB/fmUTvR6VjK98TeuzV1Zvrznmx0dSvg3vM11IkCPF1pU9HQFbd+KjoEj3xmrGf9c2ua0bG9d4Ypn4HusSe3pcFTJ722YT9N6W5t3X2oUXahStmFy80q9A0Ow8XJEbMcNPnYdQnnsbFWxw+hbffEM6l6x9kilcQzcWKs+5zGTnqa2EnmQOxMgrUwfkU1Ct9//z2ef/557Nq1C2q1GuvXr8eJEyds0bcJw1RoEBN51fTn5ElkKJTIsYRPH+oRF+SN9ZFCvWuW1Csxn8fGYj8PvWO1+ZLO1Mot7h+BQJj6XGhU0o7t8qb2SeoRwZ7JvbsunXlxNXruDCI2kIv4IC6eihYhPoiLmvYuRPlzsDFKhJsKNeO6cpmh0GuehH5HFIFAINgTujq4do5kOTnicksHfm7pAADkVrWC5eQIifKWUUqfSwxz5Nm6NrDmzsH6KCGeihbhPl8PRAd40er3Uf6aNAcHMhPwwrelePpQMfaWSvDS8TK8cuI8dqYvRmGNnLHw9ky2AcZitxmSW9VK28bllg7EBXIB6D9r3bX0SmsnFN19WB8pxNY4sZGM6LbV1XcHlQo1lvI9ER+kWZO1668p+y+cx6aKns305z3Z5Jqw+fU+YxirVw0+A0zJsLGeZe71zT0OADr6BvDCt6V46XgZNe+88G0pOvqMU6gU1tD7IU7X6sukNcalIeWN7bRtXiR2klkQO5NgLSx2GmdnZ+Pw4cNgsVjw8vLCP/7xD3z66ae26NuEYSrBPBNMO4mLpQoMDg8zKgGxgV6IDeIanb/5cDF2r41B9rrl2B4fii82JOBw1kpUNKsYr5Vb3YqSOgXkXX2mbo9AIExRDBUuLXRKI4EwGk2dPah+7VFIlF3YXXAdySE+2Ld+BXzdnLExOhjZ65ZjX5nkblghfch0frUMslv0a0oRw1pEIBAI9kS+RA4B2wU5OzKwMTqYKmIWL/SG+vYdABp9XgdPNogAACAASURBVMx1Q3mjvnEdE8ClHMuGFNUqMDIygsYOTRHsJyOF+Px8DXavjcEHj8ViW5wYHzwWi91rY3CgTILV8/mML/AqFWrUtXejobOX/h5M2CjTnbHYbYYw2VaXmlUQc90AAGKuG+pV3Xpy8uzyMFS/9ihq23tw9FI91kcKcbGJfj293NKBMB822nv6KRnLXrdcL2WJ1v774LFYbIsX44sNCdi9NgabDxeP+d4I1oVJVgx1orN1bbTHnaU539w2TR1r+LklbRYxbEgrqqW5fp1517d0XMq7+nC0QoodX5fgaIWU1p/B5HAuZLgWQR9iZxKshcVO41mzZsHV1ZX6m8fjYdas0Zu5fPkysrKyAAA3btzAhg0bkJWVha1bt0KppM/nO1Gkiukr95pKMM9U7Tc5xBflTSp9JSBOrDHWn1yBjr47eOW7C8gI51NvrAFNmFTGnhz4uc/Df96/BP97sxmL/uef+PuZm4y7liP4HLxyohyrP/mJOI4JBDtkZTD9HJMcYp3iFoSZxVPLQvDY/gJsOXIWe0sl2HSoGE9+cRqr5wvw0vEyvJt7FUv9ONh+7BxiAri0baSG+sLXnT6MMJGmqjeBQCDYG6liHypFj+5Ouy2Hi6m5MUHEg0TZhegAL71zn1oWjEgBvV6eHOKDz8tqsOXIWWSXVOPNHy5BxHFFxp4cHLxQi76BIRy8UIuMPTkQclzhADDmPL7UrMJKsQ8CPVxov7dWESx7ZCx2myEJDOtZhIADibILgCa9yOZYsZ6cBHiw8Nj+Amw/dg7ZJdV444dLjPIQ5c+BoqsPz35dQsnYu7lX8cvFgZQNqLX/Dl6oRVZ0MCL4nsjYk4Nmtf7Lgpn8vCcbJlkx1IkskUtz2wRM+xzG2iZTLSW6z5ODzbs+Yz9pfhdtKosNXxYhu6QaG74sovVnWGOsz2SInUmwFhY7jUNDQ/Hll19icHAQN27cwBtvvIH58+ebPCc7Oxu///3v0d/fDwDYtWsX3njjDRw8eBAZGRnIzs4eW++tRIrYlzE1BBPLAri050T7e+GarFNPCegbGILHvDnYc7YKte3d2BwrRt+dIeqtc86ODAjYLljs54Elfp74x9VGHLpYR1W6jBJwTIYuaUM/WCySa5JAsCdiAunDVmMMjFQCwRzoQgNZTo6YPcsBu34Rga8uShEfxMWfHo7GChGPcd1byvek/S5NTJRMAoFg/2SE8VHdRp9S4HyjxmmSHuaHnjuDEHPdsTFKhKeiRdgaJ0ZZgxKh3u60c+R8Hzb8PVxQ/NIDELBdUFJ/79jSBiW+uiilctSG89g4VdmCpQwOx+gAL4Rx3bCYYT42ZaNMd8ZitxmSHuZH28ZSvieVFgIAypvuhcfrppbQUlKvZFwzxVx3FEvbsDVWjKeiRXj4Pn9sjhWjvbffyAbsHRiEiOMKrus88rynGOmh9PJmqBNZIpfmtgmY9jmMtU1mZ6JxXxmvb2CrRPnT+yvoXqpo9VXDtC+GO4utMdZnMsTOJFgLiwvhvfnmm/j4448xd+5cvPbaa4iPj8dvf/tbk+cEBgbi73//O37zm98AAHbv3g0eT/PWa2hoCHPnzh1D162Hj5szTj23CoU1cuRXy5Aa6ovkEB+TSdv3lVVj99oYVCrUuNSsQoSAg3AeG/vLJEgR+1AKR2mDEr0Dg9gcK0b/0BCW8D1pk+T/uGMV3OfOgdtcRzR0dOtVuqxsu4XvnknFWakCp2vlWMrXXEs3dCm/Woa0VLHtfiQCgWB1BoeG8dHjcbjc0kHNI0v5nhgYGp7srhHskGKpgnrZqL49gP+btAA3FWocKq9FUrAPql97FP2DQ3jh21Koeu/gQGYCtYYli32QHupHrXsnt6UhTyJDkVSBRBEPaWLmCtwEAoFgT3BYc1HBsMO3UCLH+kgRBGwX/PDsKnT3D2D1fD7O1MqxXMjDEr4nnjtWQtkAl1s6EOXPgZjrjrWf5aNZ3YvFfh4o+D/3I+XDH7H5cDFObE1FpVyNfIkMUf4cZITzUVSrwCJfD6TddfQY2gUPLvQHhzUPAPDdpkSUtajNtlGmO2Ox2+RdfSiQyJAvkSNV7IO0UF98vz0dudUyFEnleHRRIOKDuBga0eSZLpLKkRUdgi/La6k2xFw32p3h5+rbsD8zASV1bXo24c5/X8Qn6+LhNHsWyhqU2PngYmQePG30rHN2rIKrkyO1xhreW4LQG2dq5MipakWCiIf0MD8I2PQ70AnWR+DBMksnskQuzW0TYPY57CuT4N2HosbU5iI/D9p55z5fD6Nj95VJ6H0epRK8o3P9faX0x+0rk+CPD0XrtVnR3IGcHRmQKG+hvLEdT8eE4O01kcipbMG6CCF13CwH0NpJsxxoHhTBCGJnEqyFw8jIyIglJ3z22WdISUlBSEiIRRdqamrCK6+8gmPHjlGfXbx4Ea+//jq++uorcDj0b9oBoL+/H1evXrXoemOBxWJh7ty56O/vR09PD+NxXl5eON02hC1HziIuUGOgS5Rdml0EGxOx0JeN0nolLjS2Iy7IGyuE3rj/k5/wwHw+EkTeeObIOaM2P89MwO3BQdwfzgdGgEd0qpQCmon86KaVUHTfhvMcRzy2v0AvdGn/+hVovdUHf/d5SAjywi1ZIwYGjJPZEzRER0ePfpAVmCjZJdgfCxcuxD+uy5B1qMhoHvlyYyIeXeCL69evG51HZJdAh3jhIsi7buOnahkuN6vwcvJCI+N0Y5QIDywQIOurIuozrexlRgmx3M8VNTU11Hd8Ph8uLi7o7e1FS0vLuPs4k2U39pDxWLY2ZRsW2vwaM5WZLLv2zJw5c+DuG4Di+nacqWtDktAbCUFeGLzVjtIOYBONPq6rT68U+2Lr0XPI1cnJudjPA7vXxiBjTw62xomxPlKI339/SW93KgB8/EQcovy9EPeX7/HBY7GQd/XhVxFCbD96DqUNSmru3RAlgoezEyqaVbjUrEJ0gBd+sYAPVUOtnh5vro1iyHSWXbPttoBgPPpFkZFd9d2mRMzu78YsVw8U1ipwulaBJKE3Vobw4Dx8BwMDA8hr6qHkJD6Ii43RwXjpeBkAQMB2wYHMBHT09UPddwd7SzR5qh0AnKpswdtrIvHKifPUjkrdc3U5tDERS13070F7by5ePlj9aa5R3/+1NRWK2srx/oRTmomQXXPkVis/LnMcKV29d2AQ321KRHtjrdHx5siluW2a8jkcyFyBJO5stLdr8q7zgsPx8Gf5Rm0aygqLxcL123PhwXJGjfIWLjS2Y1mAF0K47lD39mHB3Hv9ZrFYuNjjhKxDxTQ+jwREuNxBT0+PRf1ksVhw9OLjic8LjeT6m6eTMdjegp6eHrBYLJR3OWLTkXNGbR7MXI4o10GL5sKJZCrI7ljtTMLMxZTcWrzTeGhoCH/4wx+gVCqRmJiI1NRUxMbGwtHRsqa+//57fPzxx/j0009NOox1WbRo0aTvSi4vL4dQKMQsdg8VbqZVFLXVkBf88QQ1OPeWVEPIcQXHxQn9g0M4V0efQ6hYqsDjS4Pw3z9dxQqhN1UEQesYvtLaibxqGQ5eqEXvwCAOZCYgY08OdV1/Dxa2HDlL/X3quVVTahdCeXn5hCmuU5GpILtaptOzsPd7OV2rMUR15xFAU/ghM0o0Je5tKsnuRGJvstXY2YN1X5ymjNN8mlQVDg7AaYPiF1rZYzk5Ys2CeNp7lkgkdvVbaLG27GplYvavD1qtTWsy1Z7RVB1DU7Vfuthq3rWHex8rdPemzZupnQuzSySUjrzKB7Q77Qz16d1rY/ScxldaOyFR3sJDC/3x8soF+NuZG0YOYwAob2xHsJcbNkQJEc5j48XjZeDr7A6lIhEdxUj4+/9SdsOBshp4ODthXcQSvXsbLRXgVGKqydjRCiltKpKyFjWSQ3wYZcSP64xVrn2UnJTUK/H2mkjqb21e7CutnTj94mq890g0LrV04HKzCk/HhIDv7gxVr6awItMuZQDIr5HjgYeiwHZ2Mvrui/M1tH0vqFEga5ltfufpPE8wYWrO1ZUf3bFe1qLGujH+Tpa06eTZS+tzSA/1A5/tAqFQCEBfVnTbpJMVz7tzo9bBvL+sBr0Dg7T+g1ltt+h9HgFchHm7U8fNYehnWqhmZ7y2nwBw+CL9mLzQ2I71Uffmur98XULdj+49nZEqseFX8bS/LTCzZNiU7NqDnTkRzCR5oMMa92+x0/jZZ5/Fs88+i+7ubvzrX//Czp070dPTg/LycrPbOHHiBI4ePYqDBw/Cw8M4DMIe+LK8Fse3pKCoVoHiOgUShDykiH3wUXEVAP3BqQ1Na+vuQ1NnH7JLqo3ai/Tn4M0fNDsVskuqsdjPQ88xHB/ExVzHWXhgPh//348/o6mzB7vWRIDPdoG/B0svVYU2J5BueAeBQJh6JAX7ILtEYvT5yhBScIxgGfnV95zEusapNl2FRNkFibILLySE08ocXaESAoFAsGfo8rzr6si6KQUSRDxafbpSoUZcIJfS6eODuJgzaxb2/CoOv/3XRcQLvWmvHSHgoLyxHTvTF2PNp7kAgItNKry1JgJfX65DeqgfQr01KS0Afbshv1pGdHgrki+R035e196NkZERkzJimHJA3duHk9vTcVOuRp2qizp3eGQELx0vo/7eWyrRs+Ukyi5sjA6m7cdSvidePF6K9x5ZZuSwK5YqaM8pksqRtYy+PYJ1YZKf8YxTS9qcM9uBNsXAnNn6ORoskRVduc6rbsXLyQsYU2kwpZ0wTE8hYLvg5PZ05N1N+ZIo0qSBoUulUmiwgUFLQY0c66NE1N/JIT60fhOis5oHsTMJ1sLiQng//PAD3nrrLWzYsAHHjh3DmjVr8N5775l9/tDQEHbt2oWenh689NJLyMrKwt/+9jdLuzHphHi5IvS/v8OZWgUi+RycqVXgv3KuYKEP2+jYZnUvrrZ24v5wAR5cKGAslqD7BkirqD600B85OzKwMToYZQ1K+Lo7I2dHBq7JOhEbyEXL3YJ7hlV286vpJ2MCYTphbpTCVCU2kL64hLZ6O4FgLrrGgkTZhRUiHrV2aAvuvP/IMkaZizIoqEIgEAj2jinHDAC0d99GW/dtrJnPZ9SnLzWrIOa6QcB2oebU0gYlcipbsTlWjMV3c4Pqoi10x3Fxwvaj56g2l/I9cbSiDltixVgXIUSVQm10PQBIDSVFR61JKoODKVnsM6qMABoH27oIIT7+VTwWzO2HgO2C9DA/lDVowu21RbzonM/alw4l9UrM57EZZaWwRgH17QEcrZBix9clOFohhbyrDxlhfnrFwrQkiojTbKJgkp/xjFNL2syrliHpg1M4eKEWfQNDOHihFkkfnDKS3QQRvSOQSVa0cv3bZb7UCxI6IgWeyNiTo3f9jD05iPQ3tsEEbBdkLQvGJ79ajqxlwYy5t7V2jqFsxwZyDY6jL+S2jBRyMwtiZ2qwd3/BVMDincbvvPMOhoaG8PTTTyMjIwMikWj0kwD4+/tT+YzLyozzOdkb2mqe+8ok2Hf3dnamL6KqHBuGuy26O2C1b/byJTLkV8uQIvbFfB82tdNAl0vNKvzn/UvwzNGzOu1p3lwfyVqJ3YXXEcFQdXmqKZwsFimgRLAe8q4+XGnpQGPnIGrutGAx33NKpWMxl/7BIdrdA/2DQ5PdNYIBukV0nlgSiJhALm0o6WSRIOJhb6lmN0FJvRIHNybisf0FRmvRlxsTzdoxQiAQCPZOqph+l9ovFgog7+pDW08/mtW98HV3xtrFgfjobJWREzc6wAsHymr0UhEAoKICP3w8Tm9OjQvyRgTfEztPXsTO9MV6YdrhPDY+OVeF//pFBIB7toThPJ0cQhyC1oTpdw7luhvJiDY654mlQbRt6eZQ1Z5rKvWE9qVDaYMSmw8X40hWEqSqbpyukWNliA/83F2w+XAxDmQmYJ1OjletfJ3clob23ju42NSOjdHBeHtNJN7NvYK0KWbnTWdsMU4taVPrHDZMMWC4Kzk9zI+2zdFkRaVSmfTnaPtqmHZifPfvgzMvrqbSuWyMDsafHo6Gj9s8veNuM9hJtwdM20nESahhptuZ92w3GVI7NbJsj/6C8WKN8WCx0/j06dOora1FSUkJ/vrXv6Kurg4hISF4//33x90Ze0Lr/L3a2omGjh4EerIQKeCgSCqnNcibOnsQedfB6+PmjPWRItwfzsffT99ER98d2p0Gv1wSiJ9bO2jfXF9qUWFdhBBerLlTVuHUdbIkCbnw7OqbkQOVYF3auvtQo+xClbILl5tV6BschouTI2Y5AN6u9iVfF5tUekUjDl6oxYt3i0Ys8vOc7O4R7qLNi6nqvYMDmQm4qVDj68v1SBH7Ii10aiggqaH3DJCtcWIUSOS0a0dFswof302jpJW50gYlDmclTUa3CQQCwWJ09ctUsQ9SxL6YM2eO0XFMjpkofy+9PLbaVAJHspKQ9MEpvWMfXOiPEC83vVQEWq60duLnlg4cvKApXCXmusHbdS7k3X3IXrccFxrb8Wx8KNYuCsB8H40toJsz1DD1QWqoL2OIOGHsMP3OHNZcSkZ01/fLzSooum9DTmO36G6C0Z5rKvVEaqgvuKx5YDk5YoWIB2cnR/DdnfF/Vy7Aaycr8O/rTYgP4kKivEUrX6cqW/H5+Ro9Z93JbWmMOzgJ1scW49SSNplefhluELMkPcRY+qrr81jk5zGu+583xxEvfFtqNDef3J6udxyznZRAaycRJ6E+M9nONFXTYKbIhDXHg8VOYwAYHh7G4OAgbt++jdu3b8PZeWb88IYMDo9A1tWH0gYlnBxnoW9wCMuF3sjYcy+x/MELtXCd64j9mQk4WiGlFNyMMD5yqlrwVs7PyNmRQavULuVz8N2Vy7TXLpTI8fHdBPC6OYnSQv2mhMJpPFCrZ9xAJdiGjr4BWkXj2NPJduc0PlvXBsB498BZaRuyloVMVrcIBmjzYubsyNDbaaZ1NEyFec1t7iz8sD0dd4aG0TswiL+evkF73FlpG1LEPvhj3jWr7RghEAiEiYJJv/xuU6LRsXSOmVWhfsipaqF10NV39ODf21Lxz6tNek4cAdsFO+4WZDJEu5P0q4tS9A4M4uWVC/DPa42IEHghI8wXicE8FEhkeDf3KlLFPgjVKRyl7eO6CCHJYWxjmH5nrYyobw/o7fTVXd8B3I1u6wXfzZXaBKMrX6He7rS2XOpdIz0mwAuVCjUqmlRYFeaHRz7Lw5XWTgjYLti3fgX+XHidtt9lDUpkP7kcaz7NRbO6F1daO1Fc14Z1ESSCc6LhODshJtALHCtGmWna5Jps05Jdydr0EJbkuzZ3F6Ky5zZKG5RwcZrNeAzdCz06/bioln5jQ7FUoTdGme0khdE9EiehMTPZzhytpsF0x9rjwWKncVJSEgQCAZKTk/HSSy/hvvvus/ii04EWdS8ezM41Ulq/356up6C+nLwACSKe0bE70xehvacfAKiwpNZbvThdI0eEgINFfh5o6+7DciF31LeLWkUohj0CkUho61s3i5k+UAm2g0nRKKpV6FXxtQdIgQf7IF8iR3wQFzcV6ik7r/UNaML4fqxsRWdfP5YLvWmLX2icJr6IEHDIzjYCgWB3MOmXZxvaIeTd2zllmFLo3YeiqJRCTHlsCyQy8N1d4OnihFWhvuCw5lHpsGIDvWjX6wQRD7JbfdTOrSstHVgZ4ou4v3yPI1lJei+5yQaKqYmPmzOjXOVLZFjow6ai25YKOHBzdqKi27Q2GAA9+2+FyBuL/DxRWt+G6AAuthwuRu7dPMkCtguOZCWhobMH4Tw2duVcYSyouJTviXdzr+gVRyeFEicWQ+cLgHGPY0vatFVEgrm7EM3dCGbJhjFzCwFaYicR34MxM9nOtEUBS3vC2uPB4kJ4J06cwIcffoj58+ejtbUV7e3tFl90OsAU+ltYI9crmLAuQkjr5CqQyLDiroLQrO7FGz9UYJ7jbCrB/MDQCDYdKkaAhyttAnO6t4sqFX0+rcnAnMISBMJYKNN5U2rO51OZBBGPdnyvEJKqtlOJVLGPyZyFU2Fe670zgF/uL8AL35bite8vmVw7OKx5emsUcV4QCAR7gUm/PC1to/6vdV5s+LII2SXVWP1pLpI/PAV5Vx8A5iJUEQIOTlW24I951/BTtYxqZ/WnuRBy3Gjn1DBvd6wQ8ZAg9MafC65jz9kqZOzJQYCHCy610KeYK6yhvwfC5MEkV4USOY5U1OGl42XYWyrBS8fL8MK3pejoGzA61sfNGatCfeHp4oSPi6uwbPdJ/HJ/IR7MzsXO9MXUcc3qXiR9cAohXm6oUqjx1UWpySJ5hy7WUQX1gKlXt2a6Y8r5MlFtGvoWrOEwvjdHSrDhyyKs/uQnao4cS18tuSdzCwFaYicR34MxM9nOtEUBS3vC2uPB4p3G169fx+9+9ztERERgeHgYb775Jnbt2oXU1NQxdcBeOV1L/4MX1siRGaWfTJ7uoZXUK/HB43FUuImY64YfK1vw1UWp3o427S5kbY7kBBEP0QFeU97INzf/EoFgKckhvrQ7KFPs8K1psVSB3WtjMMthBA4ODhgZGcHwiAPO1ikQ6GlekVGC7UkR++Lk9WYsncKFR4ukbXrKunbtaOrswdk6xZRJXUQgEAjjgUm/XCm6t1OzQCIDy8kRT0WLIFF2oaReqbfDhincO5zHpkJ47wwMQdreDZaTxlTS1ccvt3RgzXw+Qr3d8dr3FfBxm4cNkSJ8dVFKtTfai8aZsNPJnmCSqxVCb3x8tkrvM1PRbTlVrfhj3jWj42uUtxAXyNULEb/a2kn9vflwMXJ2rIKs6zZK6hRwn+eEcB4bmw8XA7iXBqV3YJCkk5pgbLFjcbJ3QVqyC9HcvlpyT+am3DhbZ76dRHwPxsxkO3OmF5q19niweKfx7t27cejQIfz973/Hhx9+iKNHj+Ivf/nLmC5uz8TefdtrzudMbzq0BTEOZyXhPh8PJIg0b310Fc1mdS8y9uTg4IVa9A0Moev2HbCcHHG0QoodX5fgaIWU9q0gHfKuvjGdNxa0A1WXmTRQCbYjLZRetlLF9qcUSFVdEHJYqO/owaFyKeo7eiDksFDb3j3ZXSPo4OPmjHceikI6g+xN1Lxmag4/V9emd6x27WhR9+LXKQv1dqZM5FpAIBAI1oRJv1wR6EX9HcZjY2N0MOY5zsbG6GDk7MiAgO1C7bDRhnsfzkrC9vhQfPBYLHavjcHmw8UQsF2QsyMDDrMcsL9MQp0PABl7cvC/N1vw8soFUPXdwV9P38D94Xy8krwQ7vP0C/FJlF1T+kUjQR8muVrE99Rz9Gphim5jcpyVN6mQ/eRyvaJkgZ4spIp9IGC74EBmAgpr5Dh8sRZc1jxECjjYfLiYKpQeF+SNTTEhJlMikLXdNthix+Jk74K0ZBeiuX215J583Jxxcns6DmSuwLZ4MQ5krsDJ7elGsl3bbr6dRHwPxsxkO9NcGZuuWHs8WLzTeHBwEAEBAdTfAQEBGB4eHtPF7ZlEkQ/t24vEYOPt/kxvOmIDuXq5sFrUvYxVeLUJzF9btRiP7sunzRekW9HXkIkuTGeYfylJxEV6uGDGDFSC7ZjlAHz0eByuyTpxobEdywK8cJ+vB2Y5THbPLOep6BCqGApwr/DKP7emTXLPCLrIu/rwYHYugjxdse/JFShvaseFxnakhvpSRW4mog+m5vCVDHnLOKy5YDvPNbsdAoFAmMow5feUS6sBnifkXX3YcrjYSOc+kJkAZc9tvXbWRQixOpyPF4+X4sXjZQBgVPBU9/yMPTn4fysXYP3B00bfn9yerqfrl9Qr8aeHo2f0Tid7gkmuDF/IamGKbmPa3WWYm3ixnwcW3TXojXNfS/RkbrGfBx5caNqGImu77bDFjsXJ3gVpyS5Ec/tqyT1p9WqXOY4Qc93wcXEV3i+4biSvlthJumM4r7qVRNhhZtuZ5srYdMXaudAtdhrz+XwcOHAATzzxBADgm2++gUAgGNPF7RlPlzn46PE4XG7pwKVmFSIEHCzle8LTeY7RseY+tAuNSuxeG4NKhRrxQm+jiXdjlAgVzSracJKT15vBd2NRFX0NYQpDudraabOBo1up+ObNmzNigBJsT161DBu+LMLWWDGiAjg439COHd+U4nBWkt2FezKHh8mmfVXbqQ6bzaYKIDV09uBKayeutHbi39ebEBfIhZjrBi5r3oTNa6OFEqaE0L/IfHCBADzXeWa3QyAQCFMN3aJ2qWIfpIh9Kf1SS9OAJscs0xwnUd7CE0sCjdpmOzvhr4/G4uH7AlDX3o2mu/O94fmVCjW2xopR3XaL9vtiqQJ5z2fgp2oZpeuHervZpIAVwTbo2i1altPYY6ai2+gcZxujREgO8cGX5bVo7OzGqedWYbGfByUHedX0MlunMj6WCbK22w5bOCMtdejQzYHjub4lDl5z+2rJPenKq+5OfkN5tdRO0o7hGPYIRCKh0fczjZlsZ5orY9MdkScLPlFCuDjOHlc7FjuNd+3ahbfffht79uzByMgI4uPj8dZbb42rE/aIt6szhkeA3oEhzHOcjQBPFkK4bvB2pZ/AdRURVc9t5FS1UhN/WqgvnGbPxvc3mpFdIkFcIBc35WrseSIeFc0qXGpRITnYBytEPLybe4W2/dL6NvQNDGHn95fMqlKqDYWqU3Vhx9clVlmATNHT02OTdgkzj4rmDuTsyMBNhRoVTSpE+HOQE5WBnMoWu1sEiqUK2s+LpIppv5hPRXSV8pXBPAhnd+Hf15vQNzCkd5w28sPFyRExAV5gOzvZtF/qvjvIl9Dn0dfmiuOzXfD99nScrpWjUCJHYjAP8UHecHLUz0I12Xn0CAQCwRLodlCmh/pif2YCimrllC4dF6CJ0GOa4yqaVHh2eZheu3SO6B1fl9Cef6lFhVfT7sP7Bddpv8+rlmF1ON/I6QiA9jOCfWDoCFsZ7I20MD6jveTj5ozv3V9IdgAAIABJREFUt6fjf2+2oFKhxuZYMcob2/HX0zewMToYS/gchHBc4a6jNzAVPzvfoMQzcWLa73Tld3NMCFnbbYwtnJF0LynosMUucksd4YPDI3C9q/O6OjlicHhkXPdkrryO1U5SqVQQiUzn7LW2I34qMpPtzJk+J7Z196FG2YVLLR243KzCUgEHA8MjmOUARn+lKSx2Gnt5eeG9997DzZs34ejoiPDwcDg42GFcuBXwcXO2eHKhm/jPvLgae85WIV6oKeKhdUh8UFyJuEAu/usXETh8sQ4fFlcapa3QEiHg4OCFWsa3yoZhKAcyE/TC70gYE8FeeCZWjHVfFBq9HT+2KXkSezU2EkQ87C01LuqXKJr+VW2nGkxK+Z4n4nGRoZjRUr4nXjxeivceWWazeVPe1YdX/1lOrQ+G6IYSzp7lgJPXm+AAB3xYVIlNh4qN5nVSKGT6MvvXBy0+Z+j9LBv0hECwHnQ7pXamL8aD2bm0Oqw5cxzTfJ/3/P2M56eJfVFYI8MSvidtPydiPSBMDpZGTl6XdYI9bw6ejBAikyaVyWdProC/h8uo63KkPweqntvgsObpfW4ov1daO7CJwQFE1nbrYo4z0trYahe5uY7wZnWv3nwL3EvJo5uj2xKSGVKqJRukfWG2k8aXxmOmpHOZyXamuTI2XenoG9BLewTc9Zc8nTwmp7HFhfCKi4uRkpKCN998Ezt37kR6ejp+/vlniy88UzGc+OODuLjU0oGvLkoxn8c2SljdOzAIwAH7yiQoqVfSHmNY8Zkuib1uMuz4IC5uKtSMCxCBMJW50Kikld3ypvZJ6tHYYU5ST5T8iYZJKa9oViE2kKv3nOKDuNiZvggxgVwculhn03mzQCJjXB8MQwkLJDIculiHry5KqfXAcF4nhUIIBII9YbhbaDQdNiPMz6y5ku78n6pbGefISH8vPPd1qUk93NbrAWHyMSdy8pufGxDEccX5xnZaOStr0NdjmWROzHXHTzQ2naH8ltQrEertTtb2aYolRevGgkpFvzFCS25VK60c543j+tEBXrTyGuXvpfdZOsN8njbOlyGmHPHTiZlsZ5orY9OVolo5rYwX1dLvPh8Ni3cav/POO9i7dy/mz5+vufiVK/jP//xPHD9+fEwdmGkYTvxirhsu393FtvlwMQ5kJqBSocalZhUSRTws4nti7Wf51PHaY+pU3ShrUGIp3xPhPDY2Hy6mjmGqUqoNQ+npH0RpA31hh7xqGbr7B8Fymj0twzQIQGCgcU4/e+J0Lf2CXlgjQ2bUxL79Hy9fltfi+JYUFNUqUFynQIKQh8RgHr4qr8XvVi2e7O7NKJiU8kvNKtxUqLFv/QpUtd1COI+Nn1tUOFenxM8tHbj2m0dwvbXD5v0yXB/igryNCuOYE4pl7cIIBAKBYEueWBKI7JJqxAdpcslHCjj4uYV+ztXOdaPNcaPNlXTn/7nwBgD6uTiC74lH9xfotUGY3pgKbU8V++DLC7W4PThEe+6lZhXm6eSX9HFzxv7MBJTUtVF1ciIFHBypkGIZjYODTn43Hy7Gia2pqG67Rdb2aYatI8Q4HI7J75lTHMiRtYw+Ano09pVKsHttDDr7+tHZdwcezk7wcJ6L/aUSvPNQFHWcgO2Ck9vT0dDRgztDQ3CaPRuBnqwx73DWMlNSF3x5oQbHt6RAdqsPA8PDmDNrFnzdnfFleQ1eW7VksrtnU8yVselKmU4eZ8PPmdIemcJip7GTkxPlMAaAxYuJY8MSDCd+ibKLSjnRrO5Fxp4cqsjSfB82qhRqNKt7qeO1x5x6bhXWLQ3E89/eq/gMaN6gpIf6oFndi9yqVhRLFUgQ8ZAe5gcB24WaCF2cZiO7xDhcYSnfE3tLqlHaoKS2sO8uuK6nEM2EHEDTEX2ZuEXJhL2xMtiXVnZT7PCtaYiXK0L/+zs8EytGtD8HZ2oV2HLkLA5nJU121+wepjmQCSalXJv650JjOw5kJuBXnxcahbMd3bQSzereMY+n0YzP7JJqo/Uh0JNlNO+aa1iYm3OOQCAQbI3h/LcyxBc9/QM4XStHWYMSySG+qHn9lyiskeOsVIFHFwfi1M0W2ra0c53hHCfv6sPRCil1jVdSFuL7G816+rWp8wEgUqBJS2E4F3vMm4MXj5dRbZF0APaJJbYNU2j7/swEVCnUSAr2wRI/T1xoamfUKwI8WXqfVSnUOHihFjGBXogJ5OJCoxK3B4cxDKCiWYXGjm7EBXnDx82Zdq1vVveiuu0WWdttzGgOVltgSdE6S7gn8zKkdoJR5m2RImKFkAsAUPb0o7yxHdEBXvBwnosVIppUbCMjqG67RenzgR7jt11nSuqCuEAu5syeBYmyi/r9AjxZiA+kT3k3nbBIxqYhySEM/pIxyrjFTuMlS5bg9ddfx7p16zB79mycPHkSAoEA58+fBwDExMSMqSMzBcOJv6ReiT89HK33WWmDEr0Dgwj0ZCHQk0W7UCz284DrPCe898gyPHxfAPKrZUgScZEeLsDtwRG93ENXZZ2obLuFl1cugLfrPNp+aNvVTXNxpbUTuVWt+Lmlg1KITm5PZ8wjRxzHUxfDfFR7SyXjzkc1WSy7G27CcnKEmOsGibILPXcG7TLcRDsO95VJsO/uux8STjh+xiLvTHNiepgffm7pwBNLg3CBIdQ0r1qGs3UKvPtQtMXjSdf4jA/iom9gECevN+NPj0TDx83ZqF/a9cEw5MrUPRB5IhAItmI8GwmY6nzo5uHLLtHM37vXxmAEms0W2rBTc+Y6JgffkawkJH1watTztTDNxZtjxZTeTOZb+8SS/KZsNht51fSh7SV1bTh4oRbv5F7FR4/HQcCmt+GW8j0RwnXTOz8jjI93cq9i7aJAbDt61qgvu9fGYPUnP+HUc6vIWj8JmOtgtQW2iBAzlnkJo8xrU0QYytt4UkREB3AZ9XRdmjt78ODePOPjtqVB4MEyatf869OvIfZoS5pivg8bD+7No2zmT85VYXfhdZzcljbZXbM50f5ejLIzE7C2jFvsNK6pqcH/z96bxzV1Z/3jb2QNOyEJELYEElwqCiKLbCKITqeLHdvaWpe61dp5+swz385vnuksbV8znVen87Tj80zbaZ1qra1arW3tvlgroAICAi64IYFACCEbSViSsPP7I9xLbnIvEkQ0mPfr5R+Gz/18Pjc599xzzuec9wGA119/nfL5G2+8ATc3N3z44YeT2sjdAjrFL+YGML4MND1mHHlyKUqb1KiSaZEnCsOiqFD878mrSI4MIbs9Wzdn+PBsI+raDYgM8sW+tVm4pu7EhTYdvr/ahpVz+GQDv7GuqUqkxXAgYPtTaC4ASwmViBOAylH+raKGdvh6UsVmKsj4Xbi1YOajane67qmfXmzG0c15ON2kQrlUg+1LxMiJC8Phc834g5NROjjavdiFiWEy8m6rm4lDuLAAFt55NAMAsOOTCtprz7fp4AY3FDUoHS7VK5EooTP14/iOQlJXL4xko7N3wE5X38hZcFFPuOCCC9OJm20mxNTnw1Z/60z9iAhkYYmAi0/ONyM5ij1G7SRVIymSjQwBl3ZNJu5KmcGIY08vx2cXWiakK+n0a5aQh1p5B7ZniF361onhSKOxIF4ESmrpe/kQPtPBWikuKPT44ZoCb65Og0xvxOkmNdJiOMiO4yGE5YlZbsB1TRdKrTLqv3uqAOVSNe1e6tWd8PX0IPfketdPHxwJsDo6ryMHbmyWF1JjOGCzvCa9JgFHZJ6giChqUKJUqkK2MAz54vCbSjpi4lstk6op659gOKApkihvyn8lqAsImqGkSDZm84JoqQucucL6TLMGO1elkv7FupQ4zOEFoaJFg4dvIujuDChikPFiiQrrJ0mr4kxwRMYnAoeDxvv3O96d2wUqmEqDbT8z9g3g/05dQ4lEiZER4MD6bJxv0+HwOSlON6nwWvFlJEYE49R/rEQgyws+PpYs4sHhYWTEcvDyvcl47suzdicsxEuO2AfL0x39g8N44ftzWCYKg0TbjYoWS9YEUZpNoFSqJoPI1phpHEAzDcx8VGqnCxqvTozF6vdL7OT68Mbc27yzyYF4Dh+YHQYWyzmMkDsdk5X3G3VIZ6J/WBwdirOyDgwM0fMXjodiiQpHNuZix6cVdqfBtrp6IjrWRT3hggsuTBccCTzQYbw+HwBIHuNnMmdj7f5TY2tVWnTk+49nwTQwiNpWHdxnuSGO7Y8gm4AKE3elTGfE48lCLE+ImMCdWkCnXyODfPHAPdETnsOFOw+O8JvWyvVYGElPUWDtM51v02FRFBt7Khrg7eGOyEBf8Py9kcANhM7Yh2vqTtqM+vfXZtnNmxHLgbfHLPxsDp/ck+tdP324WT1HB0cO3IixthWWNxO0dpTTNzLIFxsWx02aw3iy698q/zU5MgSFu45ja5oIi6LZqG3V4dmjVXb0gDd7MHq7Ec8NxOZDZXb+BZ2emWlgavh2Wnp3BI0JGSeotPZXN6FSpp00BabDQeO2tjb86U9/QltbGw4ePIjf/OY3eOWVVxAVFTWpDdwtoDulmuVmaTxHfLY8IRy9gyM4I1UjnhuIOoUeHcY+bEqLx89mR6J3cAh6Uz8UnSb8Mms23n4kHcEsL3xxqRWXlQZsSRfhcK0UVTItnsubB0WnieGERYnIQBYO1jYjW8hDhoADdzc3bFwcj1p5B9alxOHle5Px6ok6Cl0FAGQLeXin7Lrd/bk43CaP6TjBzGbgo8q5CT6q24XaNh2tXJ+X6zCHF3SbdjV5tBmMONGgHOPeFYffVMnVnYrpPKmfCnmn65BOVxJaIA7HyjmRYHl6oFSqgp+Xh0P39kJhIkoa6TMuiiVKhPn7INjXG3UKPcqbNcgUcJEnCoef1yyE+t35BqsLLrgwc3GzzYSY+nxYV8p19/ajXtNJqyPr2vUwmPqREh2Ke+dG4ni9Aj81KCnvGFvuSmJunbEX59p0pG5dGh+GlOhQfHqhBY8siEW1vAOnGi2VeFlCHgaGhtHU0Y30WK6d/Z4vDsfwCJw2G+1uhyONxj6/3Ip1KXG0Zb/zI4JJnyk3Pgw+Hu5QdJqwMJKNObwgGEx9+PuJS0iMCIbO1E8r05cUeqTHcFAp01KegyqZFjlxYdicJsJHtVJSNrOFYQjx9QTX3z7QaC2PhIwWNShxslGJ1GhL1nOgjxciApnl1JmzLKcKjui5iX5fjgSiK1vos0WrZFq7A6uJru9ocz1Vtxl1Cj1aDSZEB/sikR9CO+9EfZqJrs/Mp8yj3edEkS8Ox+lnV+K8Qo9zch2Sotg4nbYSYi6VNuZWHBhMJy63G2j3f0VpQDLD4ddMwUyKfUwGhM9aKdNOCYWWw0HjF198EVu3bsXrr78ODoeD+++/H7/73e9w8ODBSW3gbgDTKdXbD6fjiQOl5GeSPzyEX7xfgp2rUimnQrsrwMjx9vbD6dh8uBzHdxTisQ/HsjDMA0OUzrzWKG5Q4le5c7G7ooGWPw6wCNXnm/Ow9F8/Uj7LF0fgHyVXKPO5eLQmj+k6wVwmpuc/mywZ+u3EqUZ64+1kowqPLxJO825uDreKq+tOw3Sf1E+FvHt6etI6XceeXo7iBguvXVIkGyvn8PHge0V2unki99bWaYJpYIhRpgldve7Aabvv7vPNeRgcNt91zpsLtx/uv3Gg4uyjKxj6x4ZbtxkXbiscDTzYgqnPx+ENOaRduj5FiKaOHtrry6RqmAeGcLBWisTyYLy5Oo20bQl+zFib3iD71mbhuS/P0tjalmuObs6jVDNZ29v+3l5Y+e+f7Ox3exvdubLR7nY4whGcI+Bilpsb3n44HRcUerLsdyE/BCNW1wrZ/nac2V9vy8ejH57C+hQho49W3qxBnigMlTItKavEvtYkCfEAjb3x9sPpGB4BKWuOcIVbrh2hpRpw9izLqcJE9Zwj35cjgejoEP8JZYs6sn62kEcr81kC+yZhmh4zGrXduK7txoU2HcyDbPh6eWCWGyiHFY74NBNdv4DBns8X3Vyy2sDQCG3s4zsbTuWbPRi93ShlytRuUmNdyszOtp1JsY/JYJYbaN9Ts9wmN5/DQWO9Xo/s7Gy8/vrrcHNzw5o1a1wB4xuA6ZTqgkKPreki9A0OYW5YEE41WbLUrqmpGRVMHG917QZcVhqwNU1kd41E240nU+NpT1iSItmoV3UiPYYDNzcwzl3erMEHT2RC2tGD6GA/pESFgu3njaJnVuCnhnYXj9YUYLpOMCtHOY26e/vRYepDqK83Any8UNWiRZSTBSczBVxa480Zu6ESXF1ECS5BDXOzXF13Gqb7pJ6Qd1seJ0fkPSgiGiv//RPSYjhIiWLjRIMSfztxCUXPrADHzxvmgSGck+swMnovk7k3i/E9xFjqmh7LxTUVfYbd6SY15oQFuXSvCy64cNvgaEMu24O4FbP5OPLkUpy43k7q6lBfb9TIx5qOEtnHdLCmA6hrN0CmN5JZmn5eHjhxvR1/+v489q3NQr26E129/ZAbjLS2NjFHWZParneHn5cHzANDcHcDfD09KPa7t4c7ox3tLNlodzsc6QeQH8/DV9eU+OVnlZSy32dlWuxeswRHNy3FnLAgFO76iXJdXbsBJRIltqSJcEVlYPTRsoQ8zAkLQlp0KJp13aRcZcRyGGX2gkIP08AQuV86rvDrmi7KXITNeU3dBTeANmjs7FmWU4WJ6jlHvi9HDtzqGPTLpXZqtiixvq1PQbf+GQY7mY7rVm8eoA2wHnlyKSVo7Aj/MLF+o7YL1a0dWBwdinhOICpatJT1LysNY/z1zWpkCXjIjuPhiqpz3OQaNnv8LNqfRnuf2H5XJ2x6kzD7nDeX6TxdmEk+s6OYCl/QmfHTdSXWHyy1e08dXJ+Nx5MdT7Kb5egFPj4+UCqVcHOzhKmrq6vh5XXzhOwzGUynVBcUeqxJEsDHwx1LYrk406y143MD7DnerFEj1+HFlQvs/l7RosXi0a6J1kiMCMZsXhCO1Ssg4gSMO/fpJjW8ZrmjStYBrbEPWlMfnv+mFsevK7A0PgzvPJpB8mq5MDmMd4I5lajXdEHA9kNcqD8yBVzEhfpDwPbDNU3nlK4zHUjkh9DK9fyIkNu0o8njstKA4zsKsS4lDj4e7liXEofjOwpxSWm48cVOBCY5b2bIHrtZ/Hi9HYW7jmN/dRPMA0PYX92Ewl3Hcey6YsJzXNEacXRzHrKEXNTKdcgScnF0cx7knUZ8elGGg7VS9A0NMerPiTzDym4zfrymwBxeEK1MZwq4+LGefs9lzWqY+wcnfD/WUHWb8fE5KXZ8UoGPz0mh6jZPah4XXHDBueDnN7WOEhFsO7QhB9szxDi0IYcxC5HIgnviQCl2VzTgiQOleL3kCnaWXKHo6pJGJU5aVV9UtGgZdaQthdrpJjVWzuYDsNjOZVI12jpN5PsgNYaD8mb1uLZv6ejfAUsgjXhHHznfjBaDCW+tTkOL3kja72uSBLio0NPONdW2nAu3DgRH8I18m4EeA86Nyk6lTIuDtVJSBitbNBgeGcHOkito6zTZXVsqVSM3jod/PZyOwoQIWpm+JyIY6f/3HS62G1DZMibb48ns+TYdWvVGGPsGAADNujF6rcggX+xeswQVLVqKPBM2Z3KUJbhGZwdMl49yp8Nazz2VIWLUc458X0Qg2hpMB27lzRraecttskjPtelpfYpzcnu5Oc5gJ/94vd1uLFPTOlvO2PH4h21RLe8AALB9vZEewwHb1xsAcLaV2jPpaF0rxK98gdNNaiTz2TjdpIb4lS9w9KKMdi1VtxlnWzRoHWbhbIuG0b5l9r+oupzZ56R+dqdiJvnMjoLwBTvN/ViTLECnud9hX9CZcbLRonds31MlDHrqRnA40/j3v/89nn76achkMqxatQqdnZ345z//OanF7xYwnSYuimLjxe/Po1KmxSWlARsXx+PD6ka7jIrxsiwW8kPwXmUDlsaH251Y/+XHi/h4Yy6KGpSUE5ZNh8rw+4L52F/dBDc3MM69KIqN335dg0qZlixx2bkqFYW7jjtcnkRX6j0RXqyZzqV1s6WdE8XWdDH6h4dxrk1P8kwtE4dja5p4SteZDjRqumhPDpu0XU7Hz7QlXUShlQEsL/OPnbSpHxNs5Zzg6ZMbjNjxScW4z7amxwy9eYDSYTxfPL4eIDjQrHmcACCbhseKScfMCwvGqr3FdmV2328vIO9nPN1MPMPj6bDwABYWRrKx6VAZmQlHyHRBQgT2VDQwZiFnCXhgeTn8CneVm7rgwl0KVbcZNd0e+L8b6Fzr8ROxv2wbchGHUrbX0WXhlUiUeHpJAnZXNJC6en5EMLKEXIpNS+hIucGI8maLDRMZ5IdNh8oo86XFcNCqtwTMJNpubF8iJueplGlx+Fwz8uLD8K+yekbdnSXgYVe5pXeHLT0A2Xh3Qy62HC6n2O90cPX7mHkwmUyMtntSJBvfX1MwcmkWiiOQGsPBD9cUaOroxqENuaiVd+BUowq58WHIjQ8jA3HH6hV4Jms2Oc949saiKDaWicPxxaVWnG5SI1PAxfEdheRz8+qJS1gaH4Y1SQKKPAMWm3PXIxlY+e+f7OyA6fJRnAGEnksNGoFQKKAdY8ufTn5OUw7vSHZ7lpA+WzTLJtt1S7oIaz44SZsRTHctvZ1sn0FbJdPafUZ8viVdZDenLejm3JImxpoPT9o19zuykbpXQgb3Vkmwt8rqcxoZ7DCaYeofxBV1J8qlGmQKueD4+6DDaLbrATJR/6tV30Prc8oNRqfwOZs7umn336LrcYr93wwevCcKvyuYj9NNKhw514xMIRcNf3gI11TOlzA3GaTFcLC7wv55TIvhTGo+hz3OxMREfPrpp2hubsbQ0BDi4+Ph6ek5qcXvFjCVtYg4gaSirmjR4uV7k2HsHyQzKmw53ujmILKGN6eJ7f7erOsBy9MD5c1quMGN7Jpom53BNLf1/gDLqWK9upMs/XOkPCkwPNrhQMXdENxwtLRzshgYHsYDNDxT32zLn9J1piPInyHg4v49RfD19CDLLUwDg1N+L9OBWjl9U79zch1mO2FTPybYyrmtI870bKu6LTxqdDx84+mBgtEMHtuGdfmiMEowIzsuDPftPkG7j5MMzel+ut6OFbP5SIwIJvU20zN8Ix22gB+CYJYX2L5elA635c1q5IvDkcAJQBwnkHb+nDgefCcRNHaVm7rgwt0HR+2pydpf411Hl4VX0aLFWw+nU3Tce5US/LEwkfJZW6cJz315Fnsey0RKdCiGhoex8aMySjZnYkQwlgi42DMaXDH2D2J5QgSeL5iPEokSFaNZm4ujQ2ltbWKO7Dgedp68Mi4dQM1olhxxD+O9B1yYWTAajchLiGX0yf595jpeWrGA9u9LBFwK5+vrJVfwxCIBni9IRL2qE5LR5AciMzA3LoycZzw5WzGbj4esDrmJ5+7IxlzUtulwsFaKX+XORU1rB73N2aaDr6eHnR0wXT6KM0Gn00EopC/tTokKpf2+FkWF0o63PXBjwvyIENp577HJIGX6fWvlHUjgBlI+z2fge11GwxWcGxdOG3yylQNmebGf87JST9vc74rKgARe4ATmtJdBY/8wfmHFR0/4ul9tzUeoTZHNRP2v9FguVv77Jzuf89jTy+3WvxNxT3gI1nx40m7/tsH5mYikSDYjx/bdgGyr9wcBwsaZDBz2OC9evIiamhqsW7cOO3bswJUrV/DnP/8ZK1eunNQG7gbQnSaKuYFY9V4xZdymQ2X4cusyNOu68f7aLFxq16NcqkFKdCgig33x7VMFOHZNgcoWDSVr+Istedj2cTnlJCklOhTLEyJwoKYRf/lZEiplWpRIlHgmKwFZQh5Km9TYli5CUiQbIwA+eXIpzrZqcVKiQnosF8lRbLv9AZYSKBEnAJUyrUMk8PVao8OBirshuEHIxqVRLr6YED/Mjwie8kBrEQN3bvEUcudOV5C/tEmNb7blo1iiRKlUjWeyErBMFI5SqXpSHD23EydnUFO/8WCtA5s7eiA3TEwf1Cn0uK7tdlgPECWY9eoulElV4Af5IV8URjEe6tr1MJgHGOdW0JSWApYyuw2L48n7OV6vwJEnl6JW3oGTEhUlW+Tjc9Jx9z4wNISYYD98vDEXZVINqmRa5MWHIZbtj71VEry0YiG+vyon3wdlUg2yhFzkicLh6znLLnNiInD2ph4uuOCC43DUnpqs/TXedVvS4mEeGCTtDwJyg5FiB4UHsuA1axbeX5uFc3IdKmUaJPEtNu9fj1/Eitl8vHrikl11xjJROAK8PZHID8aOzARkx/Hw7ZU2dBj7sH2JGO+uWQKev7eFEmNVKuQGI95fm4U6hR7lzRpkxHKwICIEj394GjtXpWJkZARHzjfT3uepRhVpCwNj9nuDpsvV7+MugK1flynkYX5EMCnLYQEsfLstH0Wjdmq2kIcVs/kkj6o1Pqptxi8SY+DpPgs9fUPwCLY02fN0n4XqVi3Ft5MbLLRZ5VINSqVqpMVwkBPHwzmGAFizrgdd5n4AwIHqJvQODtHeD+Hb2doBjmTDugDsrWrAzlWpMPYPQtvTC46/D/y8PLC3UoJX71806Xnr1Z202aL16k5KtihRjm6LEonKzj/6vE6Gr7fl41K7Hu1dZkQEsjA/IgSf18nwnzlzKWMX8OmD1gtsKA4O1DTR8g8frGnC75cnUsYKQgMm1NzPERksZnr/SJTYkEr1dRm/Kxv/y3b9Xy+d61TPACGThOxsWByH2bwg7K26OZl0BjjCsT0TEcLyxNsPp6N/aAhubm4YGRmBl7s7QliTS/Z1mNP4r3/9K+655x4cO3YMPj4+OHr0KN59991JLX63gc3yQmoMB4IQP1xVdtrxXbV1mlCv6kQCJxBslhcW8kNg7B/E3koJ4v76OfZVShAZ5EvhHooO9kWNXIcTDUoKN9G+qkYcu6bAoshQHD7XjKIGJZ7Nnos2gwmw/rJiAAAgAElEQVTiV77ArvLr5Dy5bx3DP0quQNllhnlgCBUtGpxp1tDycSVFsiHRdgO4cXmSNW9mW7cZx3cU2jVaGI8X627i0tIae1Ep00Jr7L0l808Hd+54zuJUYmBoGLEvHwWb5YUXCheAzfJC7MtHMTg0cuOL7zAsY+jg6mylfxPhyCUyKv67YD4jP5vts91qME2KM1jVbUZRQzsO1DRBwPbHitkROGuTgSHiBKDWKlvMdu4shpNYosyOuJ+/3b8ICdxAPJ4stONCvJEOc3dzw6kmNV4vvoJgH08sjg7FG6evIfvNHzA/PBj/PHUVP1xrR2WzBsPDI0jih0DMCUB0sN+kAsbAzJE5F1xwYeJw1J6arP013nVDIyMU+yMyyBeJEcHIiLWUSmp6LHaQpqcX/cPDkOl6UNGiwWNJAtLmDfLxxIU2HYWnmLBl/3nqKiKDfbE5NR4J3ECsfr8Ez3xaid0VDdhy+AzWHTiN7r5B3BMWjMJdx7Gr/Dr+t+QKTjepYeofBM/fB8OwcM0X7jqOj881IyeOXl9a28KAxX5v0HRNiBPXBeeGNd2etKMHT6bG4b65fMSz/cHycMdLP1zAx+ek8HCfhQ2L4/HvR5fgwXui8MbpazhlYw8TB9x6Uz++vdoGg7kP7m5uELD9ERHIwo/1Coqc7yq/DvErX6Ct04THkwVo1RtxqFaKYwy9D0oaVdi2RIyUqFCcbdViAZ+ex5SQZzo7YKJczy4Ay0ThEHMDYDD3oVKmgcHcBzE3AAUMdtdEkRbDwXNfnqXou+e+PIt0mzLzDAF9c7NMms8jAlho0HRD1d2LKlkHVN29aNB0gx9o3xDRz8sdbz+cjrdWp2FbughvrU7D2w+nw9fbnTJufngQmnVGRAf74olkIaKDfdGsM9Ly/zI397Pnh5+oDJY303Mql9F8nhZD/10R76PJrH8nIoEbSMtdbZt5PhPhCMf2TATXn4XYED/I9CZ8VCOFTG9CbIgfpXmlI3A403h4eBhpaWn4zW9+gxUrVoDP52NoiP7k0hoXLlzA66+/jv3796OlpQXPP/883NzcIBaL8dJLL2HWLIfj104D2wxMAJD84SHaU7usOB4ELx8FALS8sBoX28eU6sq5kfB2n0X5TMQJQE3rWODDmpsoMSIYBeJw3LenCACwfUkCQkaJ5m05jBZFsbEoKhS//boWAHB8RyFj6RVBcTFeeRJT1um+tVko3HWcHDdeoOJu4NKaruzc6eDOna4MxmWjJVUP7i0hP0uMCEbeTRpltwMzofRvMjI80Wc7OtgX5kF6zi0mPcC0H9vshRvxEc/mBND+NvniCNpraOe5wX26z5oFAdsPZ1u12Fs1VvpHlAjev6cIfl4e6B8aIvnebrasaibInAsuuOAYHLWnJmt/MV2XHMXGb76sodinPz1TiCAfTwyPgFZnf745Dy8du4AdmQkwDViaftrqbWtb9lc5c6Az9iKBG4RPLrTQBiSOXVPg3rmRSIwItrOXN6WJsO3jctJOrWrV4vnl82n15UJ+CJ61sqFdOvTugS3dHmD5/d9+OB0r3z0BwN4OCmJ54zdL5+GbK3IK5ysTVdfexzLh4+lOclLa+mxcfx9cVRnwl+MXkRHLGbfvzf/74iw+3pgD0StfMNJbzOYFwTQw6JLhm8Q94cG436qijaBTu1n6PJaHJWh7QaEns0UX8kPg40EN2i4X21OzWexWe71NUKUQnMK7KxoYbcyKFi3WHywlKdT2VzfhWZkWB9dlQ8gOIMelRHNw3+4TdjzF3z5VYDcnc3M/zaSzQJfGhWMPLY2G/f0vp6Gxc9TGdwZkC8No33d0PNMzDZlMHNuCmX/vgOUwm5ae46kCuyTOicDhoDGLxcLevXtRWVmJF198ER988MENuzHv3r0bX331FVgsSwDhb3/7G379618jPT0dL774Ik6cOIHCwkKHN+8ssM3AzIjl4FSTmrbUpLJZgy1pIsRz/HGhTYejm/PQ3NGDGLYfyqUaXFYaKI0T1i4SQKY30RrpeaJwuLm54ZMnc2Ew90PTY8b98yLxTjk9f/FZmRZb00XoGxzCl3UyfPtUAcqkahQ3KLFUFIZFUaF4v1KCQxtybliaUafQYyE/BH5eHmQZoi0n8o2M7LshuDFdFBwEd5MtPcVUcudOV5C/skVD++xUybSICp7azvC3GtZlT0UN7cgXRzhV2RMwORme6LOdyA+Br5eHQ3qAaT+XFHpS9wD0PJQZsRzkicKxXByBTrUC3z5VgKIGJUqlKmQLw5AvDnfoRXuj+zzRoMSfvj9v3wRPHIE2gxFfbc1HiUSJMqkaTy9JQL44HM26bkTehJy7yk1dcOHug6P21GTtr4n08AAsOvl8mw5rkgR2ND6EnXJF1YnvnspHncKAwxtyUSyxNHVexrBGVhwPWmMfEnhBOMdQoXK+TYf2LhO+2LIMp5tUKG1SU+je2jpNaNb14OutyzAnLAi/OnqWtDcuKPTIFvIwmxeI/qFhvLU6DRcUeuS7dOhdhbIWet7YCzY2Rt0o3QohF2w/b6yaH411i4Q4WCsdlzP7vEKPiAAfZAp59LIu5MLX0wMhLG+UNKoYn4nkSDaePVplocbYsRxnWjT4ams+TjWqUCpVI0vIxfyIEMj0PTOqX8ytBJvN3DysiKEc/mapAI9fb8fmw+V2Qdt9azMp81Y0W/wjg7kPBnM/glleCGZ5o7JFY+cf1cg7sHNVKmT6HlS0aPFUhhgxIf6obdPZ2ZgElYPt4YUtlUPNKJ2K3tyHTnM/HpwfjRCWN2rlHXa2M1Nzv8nyrQIWvnq65yAl2p5Tunb0/m19yXNtHYgJcS5fcjx4e8yiHDgkRbKxkB8Cb8+Zm6xJgEkvLqXh7Z6JODFKh2Qb+ylqUGLDYvqDxvHgcND4tddew6effoo33ngDQUFBUKvV+Mc//jHuNTExMXjzzTfx3//93wCAy5cvIy0tDQCQm5uLsrKyCQWNL1265Oh2bwlqamomPJbNZqNYQi3nE3ECUC5VY0+lhPICqJRpsS1DhJQoNhJ4gbiq6oQwNAAxbD88sm+sG6p144TPLrTggfnRDMT7bLjPcoPW2Iea1g6kRIciPjQA76/NQkWzhqIkNx0qw31zI7F+sRAf1UiRHsvByGA/cmLZiAz0QalUgxCWJ36zdDYMqnbIr1+BnOZ+PT09ERIpgMxgJMsQX743mTTGLyj02JYhwrNZYmTGhEIlbYB8YID2u/P09MQXG7NRLuvAKakGuULuDa+ZKFJSUm7qekdBJ7t0skGguKEdqUEj0OnoHR9HEBERgQsKPY7vKKQ0HHj53mQcr1cgN9wb7e3tN71OenQcrRym8YMcembGQ3JyMo5fV2J3RYPds7M9Q4yH5kfj3LlzU7LWdGKBnx9SF4ejr6+X8dkicCfILoHJyvBEn21PT09E82NwZGMuSknOXx6yYkPRp9fgWpsJRqMRAMDn8xEcHMyY8V7erEGeKIxi8L56og5fb8tHbWsHYtj+JLflF5dakS3kwmOgH3lhnlgZEw+TyQSl5Co6PD0RGB6NspYOnG7WIEfARVZsKLqUrRiw2XsIPwZfbMlDvboLik4zooJZSGD7QiVtQKBYjDKpmiyztpbn8wodXv5ZElZYZTMRJ8QH1+egr6/vpt+HFpkLm5DMAY6995hwJ8nuZDFVuuxOwXTcz534nTm6J2eXXUftKUfH+/n5ISAgALP8Qygc7ctEYUjgBdH2yChuUCInjke+QyKDfLFvbRZpp6i6zTANBMLDfRYCfDzJps7Pf1OLnatSIdF2oVauw0J+CGbzgrD1cDneXJ0GVacRuaMBCVtnKSmSjf3VTWjRGzEvLIgs17V+L1S2aMAP9MUfvjuHnatSSf28LV2EIB9P1Mo78GF1E0ZGgG0ZImTzvCakQ28Wk32Oplt2gTvzmZ8KsNlsnGbIkLTu+ZISFYrDG3NwukmNTy+0YEu6CLVyHU42KnHvnEj8acUCnJN3MNpPZ2VabEqLw+DQMG3Ax9g3iP89eRV/XJ4I08AQ+UxYB8AyBFzsG82yU3SaMIcXhHWLhHjwvbFG0qca1biq6sR/ZorsZPhO+A2nU3bH07meo3bfdZ0RbZ1DaOiTI4HtR7H75s2bN245/MPzInD16lXyM19fX/iHR6NYokKZVI0sIQ/LRGHoUbbCZBqjhxSP2oqAfdC2VKrGg2IOJBIJxGIxzrZ2YOWcSIrfH8zyRlVrB5YLQiCRWOSBzWZDzA3B2v2n7bLcD23IgVQqJW33uLg4pEZzaBvhpcVwoNPpIJVKwWazERcajK7eAai6e3GhTYeFkWxEBLDA8/enzMlms8mGj3RVHNZjJwo2m429l3W0geD3Kxuw/R42Zf0frimxu8I+DrM9Q4QFfkPkWM8J2vy2uBNkNzk5Ge+UX8eK2XzEhPjC28MdYQHe6B0cxjtl1/HKz5Oc0meeCPz8/MDiReLzzXk4bcWxnRPHw8jIMK5du0b6jzMRMTExJDWpbeznWH0b1Go1Wltb7a4bT24dDho/88wz+Pzzz8n///a3v73hNStXroRcPvYqGhkZgZubGwDLj9rd3c10KQXz58+Ht7e3gzueWtTU1DisCJYZQFG21uV1ti+ALAEPl9oNyIkPg7KrF19fbkV4IIu2cUKmgAe5wYRGTRdFSebGj2YFV0kg5gRCxAnEX4/XYU+lBOsWCfGzuZHYX91EUZKA5XTv+a/PoVKmxe4KCU4/uxK//KzSTqF/+1QBRCIR7b3SUXFY01Lki8Op2Yc8en4tawh4IXhisdV6E7jmTgOT7C7Vg74jrSgcQqGQsUOvo9ji4Y81H560+12ObFwKPi8QfD5/StZhymAU8Kbu5ZkbZ8lotn12cuPDMGvWrNviIE0FJqNbpgM30rs3I8OOPNsJvCBsSRdBZ+zF8evtKJao8MiCGKTPj0Nv/xBONqqQ6DGApfH0Ge9L48OQG8+DkO2PWrkOmaMZNpXNGruO5oTx/PbD6YjncMAbzb4RCAQ09BcSWjqODqMZxv4h9A0Mob3LjEqZFj6eYbgnPAQLFiwAAGRZlU5Zy/Mvs2fjrEzL2AU7IiByWmXlTpXNG2GqbQbye/joypTNebsxqd/Vwfu/02THGeT5Vtm7vToVnnh0ydgHN7CnJqKjVd1mVLZosMgvGPfuPoG6dgPpiKdEsXGiQUXbI2OJgIuf6tuRKeBhd4XErlSfOCj7els+Nh8qw/MFiaSdK9F24b55kbisNFDs2KIGJcqb1Xj1vhScfnYlziv0pLP02gMpiAz2xd9OXIKbG1AgjsAfvjtvty8isGxbHbdhcRzcZ7lBb+rHupQ4zOEFwdg/AD6fP2U2FBOcQWat4Ux7dRQ52iFam4eQGwA4vDEHq98vQV27xWm3pocjbIZvn8qHsX+Qdq7kKDbcZ7nj57uLsG9tFiICWfD24ILt64XwQBby/vUjXr0/GW5ulj4f31yR45srckoADACa9UYc31EIucGI9yobkCngYeeqVGw6VEaxn5Mi2Vhj9Zs5m7xNBcbTuZoeMxo03ZB0GMlgqL+3F8RxYgo/aBZTObyQB19fX8p32tZpwn2j+hKglo7PtcnKzR6d1/YQLEcYhqCgIHJeWypCYs6PN+ZSxgHAoVr6Rs0XFHo8nky13XPj3WkDvDlxPLDZgWT2db26kzZu8PHGXDt/QNFpoj0QYft6gx8xOf832QC7JIxKmRaHNuRAKBRQ5iRiM7a+5DJxBGXsRG3+24nxZPeesCDKdyLRdqNSpsUHa7Oc2meeCJo6uqHsMpMc28MjI2jvMiM8kIU5c+bc7u3dcmxJ92KkJuXxgsDjOZbV73DQODQ0FNXV1ViwYAG8vLwcvRwAKPzFRqMRgYEzm4zbtlyvokWL1x5IYVTAUcF+WHfAcvq3PkWIpo4e2nnPt+nA8fdGhoCL+/dYTo53P7YEr56ow8aPyijzEkHbxo5upESxYRoYxMFaKWXMoqix8o2MWA7OM5DUf3tFjkcWxIDt52O3J6bS8Hp1J55YJJhR1BJTgRSGUhrr32IqUN1KH4CqkXcggTd1zx/RLGAqqTVskR3HVK53d3AU3WmYLhkGxow3nakf+9ZmQW/uw6fnZQhheWFRdCgOVDfhsWQBfZlmFBsyvREPzo+GVNeDd8quo1KmRUYsBx2mfkbj2TQwRDEMJ0rHYewfhtxgohjQtjyHBWL60ql8UTj+fOwC7XdQ2mTJDPqv3Ll3jMHqggsuOAemOrOG0MmHNuRSOpVXyrRwcwN+vK7EHF4QrZ5L4AYi680fLE16FwkZS/WLG5To6RukOL77qhoxNDyCs7IOisN/vk0HN7ihp3+ANnjx7qMZZHA6h8GWIHp3EPOJOAEwDQxiIT8EvYPD+OP358mxdFydLsxsZMXS2zwEz/XWdBFON6nIsmAmuT5x3ZJ1zETnclamRVSQLyn3//PAIoT6+SDvXz+C7euFAnEETlxXQswNJOcgAmCEHM/mBdlwJkto+8tMde+RmQa9iV6fHHlyKSVoPJ5NZwuidNwade0GFDW021FZLE+IoD0EE7L9KeMcoSJkalJ+UqLC48nUgK2/lwdtgNffixpGKpOqae+pTKqxW79EosKGj+x5kg+sy8baRZNLmCLiLbb8vXSxh4lSME0XjeStQm48Padxzk3QgDgL3j3TgBWz+TCY+sfoWny9sftMA/52/6Lbvb1bjppRfWCNunbDpKlJHQ4aX7p0CevXr6d85ubmRim5uBHmzZuHyspKpKen49SpU8jIyHB0G04FOg5JMTcA3z1VgBM2fJn+Xu443TSmdMdr1pQl5OH+eVEokShJDqOKZg0+qm2mjLPOlhBxArC3UkJmJnf19mNxNAdBLC/sq5JAxAmAmxvw27x58HCfhYxYDslJTKCmtQML+CHIoAkaM5WGX1Do8dbqdASxJnfQMFNh/VtQS2kkU6rQTjYxGAeNykm/nG8Xypvp+cDLm9WICXGue5kJmC4ZBsaMt1PProQbQJbArZjDR3mzBmEBPuR+GrVdqG7twOLoUMRzArG3SoItaSIcu6bA34suk3OKOAGolXfQrne+TYcFNl2fJ9rw8VK7Hs1647jGprSjG99sy0exRIlSqRrZQh6WicKh6TEjTxROm7FCZDMlRbKdwmB1wQUXZi5KJEr4eXlgaHgE5Tal2SJOAC606fDqiUvYtzaLopMXx3DI0vlNh8pQ8h8r8D9WetkaZc1qsuyfCEaLuQHo6u0nPyeQFMnGObkOZ5o1DAflOsSG+GHPY5l47MPT+HhjLs636VAsUZE0F5sOjSVdpMdywfX3xh8LE6E19lH+ZgmGqF16+C5Dl7KVtqpulhtwaEMOwgNYOFhjyfQlngE6lDdrcO/cSHyzLR9VMi2OXVNgcXQoUqJD8ZcfLyLM34ci9wdqpEiLDsXvC+YjNYaDTnM/Wg09eP7b2rG+CAod8uLDkRTJRnGDAn7enoyJPNb8y5mupItxUSpV0X6PpU1qJHDHEm9k+h5am67VYLTjCR6PysI2aGzsH8QvP6skG8wdrGnCu2cG8emmpZRxTFSEP9YrKNzDgKXSg64qL1PAtfvsVJMKTxywD/Ae2pBD0X9VMq3dtcTnW9KpFcqnmuh5kk82qibtlzrSs2OiY6eryfutQpXMwjMdzPIAy9MD5oFBGMyDqJZpEWtz6DDTMI8hy3rf2szbvbVpwalGevqjkkalnT6YCBwOGldUVDi8iC1+97vf4YUXXsDOnTsRFxeHlStX3vScdzqYMjA3LI6zI6O27ihK16wJANYtEqJwNh+nGpVo0Hbhq8ty/H9590Br7KVdn8iWkGi7USCOwKZDZfhy6zJcVOjwyYVmpEZzsH2JGKb+IXi4z0K5VI2zrVo8kzkbu9cssTTea1LjstKAbRli9A0Oo6dvAP7enpR1mJqh5cXzaAPGqm4zSiRKFEtUWCYKQ54o/K7KnkuODEHhruPYmm7hsq6R6/Ds0Soc2pAzpevkCMOwp4KmtCnO+TK/SyQWHqr3H8/Er3Lnoqa1A4W7juOpDLHd6bgzYbzmGncybqUME/qhWWfE0vgwJEWF4oF7osD29cba/WMlN72DQ/DxcMcIgMIES0YH29cb6TEcUu+kRoUihOVFGuoZsRykRodiW4YYNfIOuwBtRiwHm9NEGAHw9JEzyBLyUJAQgdWJ0RNq+KjsNjM6i4Sxub9Gij2VEny9dRleKFwAr1mz0D88DDc3N+TbZKwQTfpSYzh49miV0xisLrjgwsxFsUQFEScA19QGu9JsIunh+2sKAFSd7OPhjma9EZFBvvhs01I0aLqQFhPKSC1UIlHZcR6HB7Jw3zzL+8A0MAiuvw9SYzjQGHvtkh0I28ffywN+Xh747oocnu5uKJdqsDldhAfuicZrxZfw7NEq8prEiGDcNy8SYQEs/P3EJfzhO3vuR5cevvswMDDA6NMR/5/lBlxSGsZN/FkaH4aKFg2+vSJHTlwY/li4AJfa9fj3KAfpitkR+PqSHI0dFnv93jl8eHm4IzyAhTMtGlxU6JAtDMORjbl4tegSHpwXhV/nzkWHsQ//W3IFi6LZUHaZsT5FCG8Pd/QNDkGitdBBenvMws/m8Mms5Pk2h+POao/eKhDBUFsfyjYY+kG1FLsrGkib7qJCj9iXj2J7hhgZAmpgfjwqC1tUjzZtk3Z042yrFlvSRBCGBqC6tQMizljQelNaPB6nKUc/vDHXbs4F/BDaTNv5fHsKIiJwahvgtdV/uXHh9HR1NJm+aTHMPMk3CzbLC6kxHLAnkKh2o7FEXMP2t5/qJu+3CspuMzIEXNQp9FB2mxEewEIiPwRfKvW3e2u3HImjMm6bZT0/wvloTicDgvrLFpOtzHY4aGw2m/HWW2/hzJkzGBoaQkZGBv7rv/4Lvr7jd5SPiorCkSNHAABCoRAHDhyY1IbvBtgGXjcdKsO+tVmQG4y4qurElnQRzrZ24M/HziMthou1i+Ig5gTih2ttyBRycXxHIdl4jgCRnWYaGESBOAI5cTz8YpRvCxgrWfp8cx75eWSQL9YkCXG6SY1zbTpkC3n4U+ECHKhpRFxoAGJC/PD1ZTlONo4FfJnKPWaHBePjc1JKUNieJ4haun03IF8cTpYc1cotWZqnn10JMTdgStcpsFpnvNImZ8BjSQL8sXABihuUeOPUVWQJeWh+YTUkmq7bvbVJYezgRIllBjjdwcmtkmFVtxkbDpbi+YJEdJj68X6VBIuiQrHrkXR8d1VB0TGEY/afR6vwwooFeMCKnxgAyYvp4+GOwoQIPJZsKYVeIuBi/cFS7FyVSuotIjDRoOnCvrONWMAPwWPJQmw6VIadJ6/g2235EyppCw9gYWEkveNFGJvEXqQd3fjqshyZAi4S+SFo1HQh1NcbJ55ZjhKJCnGcQFxU6HCmWYvqVi2O7yiEsf/mmoG64IILLjiCtk4TTlxvJ5s2EYdob5dfR1qMJTuNjort8IYc2tLuN1enITLIl8L9Sqdb54YFY2QE+H3BfIp9+liyEGVSDXoHh5At5CGRHwJpRzeeSBaiVt6B3RUNpD5vNRixgB+COoUe319TYFNqPOI4AShtUsN9lhsS+SFYyGfj6vOr8H6lBMlRbErWmYBNzRIk4CyBAxemB9aJMBsXx0PMDYSnuxutXMeG+CHnrWMAxnywnatSyUBiYkQw3l+bBZaXOz5an4MaeQfCA1nYfKjMznf7/qkCdPcNolSqQpVMi1xRGLKFPFTLtJDqjFgi4CA5MhQsT3dUtmhRKlUhI5aLS//9IHSmPtSrO9HT2484TiBKm1QTskfvpqSflbMjsSZJaJfB29XbTxn387l8rEkS4Jq6E19easXCSDajvWabGABYfvNlNFQW88ODsf5gqd3vfmAdNTmjtpW5HH2OTTl6i66HtkpQpu9Bso3tytgrRES1e/NEYROyjwFLcJxuLF3QvM1gxIkG5di7Rxxul7kNMPdVoosrTHRsblyYU/vPjyyIhVTXg2b9GB93MMsLDy+Ivd1bu+Vo7qCX8RadvYzPRDiiYyYCh4PGf/nLX8BisfDKK68AAI4cOYKXXnoJr7322qQ24II9bAOvbZ0mPPflWfywfTmSItl49IOTdi+OPY9londwCO+eaYCxf5DCV5UYEYz8hAgkcAMRxPKCztyHcql96Z6flwdONY2V4Ng2JSGCul9uWQaNsQ8PvmffOOr4juWUco/kKDZEnECseq8Y0cG+uNhuwO+W3YNAlhdkuh4s5IfAz8uDzApxJp6gqcDwCGidqWNPL5/SdXpGS5ts1/nkyaXjXHVnIoEbiPv2FJFlWv8+c50M5jkbnKHBwo1wq2S4RKLE8wWJFB2ESglkBiM6jH2UsRUtWhxcn4Olv30A2p5ektNt5RxLc6Jj1xQok6rxeLKQbHrnN8rFVtduIA/m6tWdyBBwKU4ZcT+ETi2SqHDyP1bgWH37uCVtC/khCGZ5ITEimJRVibYbxv5B0oBmasC3c1Uq7ttThG+35WOJgIefWzVLIfbj4tJ0wQUXpgu2TZsuKQ2o13Th1zlz8GLhAjz4XhG83N1xdHMeSkc7lWcLeBCG+qOowUJhsT5FSGZp+Xl5IMjHk+R+BUDRwxcUeqTFhELADiDtx56+wRvap7seycD7Zxvxy6wEUpc+9+VZ7FyVSur14zsK8fj+U7R6d80HJ2nfvxPlv3Th7gVTEOrAumx8vDEX1a0dON1koSxIiQ7Fyn//RLm+rt2ARm0XtqaLyKzgimYN9lc3YVf5dex5LJORdqWzd8BGpseC0LsrGkgZ3/tYJo5fV0Ci7SbHvP1wOkScQPh6uuP339SS/W7Gs0fvtqSftJhQiq0GjNphNn5HStTExgFAdWsHSS1J8q2yvFEj70CUTUD0YruB9ne/1K6nZImfYqAiPEVD+ZAabdlrWgyHrBL895nrtHvNGg3w2tqymTbZ0/wgX3y7LR9FVt+7owYAACAASURBVPQc+aJw8IPsEwsDvD1peZIDvKmhqTaDkfKdkg0Dt+XbBY6LRnn1bbOCixvsy/EJujvbsbYxCGf3n7v66Pm4P96Yi4jbuK/pwD3hwVjz4Uk8t3Qe/it3LqpbO/Dcl2dxZKNz/HY3C0LH2NI11rTa65iJYNaNh1Bx+fJlvPjii5gzZw7mzJmDF198EZcv0/OQuTA5EDw7H6zNwlMZYnywNgufPrkUTR1dqGunNqeLDPLFzlWpuKzUw8fDHetS4rBzVSr0pl688vNkHFyfja+35qOsSYUj55vRou9Bl3mAlsNTxAlAudRCjTFe84ZTjSr0DQ5i56pURFq9COraDSiWqMiyrSdT47CvqpF0BDYsjkOHsQ8/1ivQouvBVXUXWJ4e2LA4Dsd3FJJzFTfQc7DMRIxHsD+VsD4MsF7ndBM9p9adjDPNGuxclYp1KXEUma9o0dz44jsM0/X730rcqnvoHRyGsstsN3eJREnhXLt3TiSaX1iNU40qvHHqKhq13Wh5YTV+mTUbik4TIgN9seexTMwPtxjWpaONOqy5Bts6TSjcdRzn5DrUtnaMywFYKlUhiOWNNUkCvPNoBtYkCWidpMtKA2JC/PDV1nxsX5IAHw93PL0kAV9vyyfHlzI0DalXd8LX0wMX2/UokdA/u0x8eC644IILU42To3ooMsjX0rguJQ7anl78UK+Av7cndKZ+1Mg7IH7lC5xuUmPlbD7iOQH4+4lLmBceTL6vNyyOQ8MfHsL2JQmobu3AmeaxUmdCD++vbkJaDAetesv/2zpNFO758ezT65ouBHh54Kfr7fhqaz50xl74eXmQ48e7ltC7dO8uwi4/tCEH2zPEOLQhZ8YGyFyYHJhsoVq5DpXNGvyrtB5ZQh6CWZ74v5NXKNWgBGrlOqxJEpC2bYaAi9ToUEtg2NxPS3mVEctBeTOzLZE+Wu5f127AZZUBc3lBWJdi8bu83N3B8fPBVZUBb5y+igwBl+KP0dlyOmMfjl1TOL3t6giKGH5bW77bYgZ7rYTmeyF8Fq2xD5UtWmhHkyGsdSIBZm5S6rzLRPSHWHQVEZeVBhzdnIcsIRe1ch2yhFwc3ZyHK6pOu7Hn2jpwdHMeti8Rw8fDHduXiHF0cx7OtVFjCapuM+7bU4R3yq7D3D+Ed8qu4749RVB1m+3mrGvXIzyQBSHbH+mxXAjZ/ggPZOGSkvr9WTdYHbvWgCKJ/XdyQaEj30/EM3R8RyHOK+ypGM616WnHnpNTnzFn959Lm5ibE850lEpV+Gb0EOSfpyy9177Zlo9S6czUU7YgdAxBDcb29QYAnGmh5x6/ERzONB4ZGUFXVxcCAy0cOl1dXXB3d5/U4i4wIyyAhbZOE0z9gzjZqEJP/wB+NicSH1Q3UcbZZlsAYyVNiREh8Pf2pGSp9Q4OYV5YENJiOHZcShJtN7YvEWNPpYQSULE9hSttVsPYP4hdZ66P24F339kmVMospdTWe1yTJMCqvcWMmXx3U7nfdBHsn50gH5czIJ4bSJsJ+v7arNu4q8nB2RssALfuHu6bF4U/fltr93lFixZvPZxOZj3sejQd91tlITyWLKT83zqbRtVtJvdrzTVIPBdRIb6MjTwIXvhs4cQyy47WtcLD3Z2i+4gMCSLYwPTdEWu1d5lRJaNv0udMMuKCCy44LzrN/Tg5GrSwtTkJnWZtC+6tkmBvlQTVz92HjYvjqe/rSpAZkC98fw5PpsbbrVcp02JbhhjH6hXkZ94e7ng0SYBLSsO4zcXKpGqYB4bwx+/Pk3aB9fjxriX0LpNuZeKxdcEFgNkWKpOq8WiSgGzi+FzePOTEhdHy2ebE8/Di9+dJ/s11i4R4ccUCVMs7UN2qRaaQa3ediBNwQ7uFmK9MqoGpfxAHa6VIjAjG0c15JD0MAdvn2fp5UHWb8cbpa9D20PfPmal2SSlDgPC0VIX1Vn2JSpma2zWp7bitN6WJKPzDhC79mIZ/ODV6Yvy/jlREcANYlN+eWJ/Ol4oJ8Z/Q2CKrAC+F+1iitOs5c7SuFbsrGrAlzdIP5bOLMuytkmB7hhiFs/nkOEcaBm5KFVEy7on7p+N03pIuwhqrym1i7BGbDGJn95/Ptjr3/m8GK2bzKf4gIbffOGFl8mRgq2MA5udhInA4aLxp0yY8+uijWLZsGUZGRlBcXIzt27dPanEXxkdEIAtfXW6FiBMAg7kfV5QGpESFYg8sL47xMiYuKfRgebqjb2jYjvszPZaLe8KD7V4sxv5B5MZZ+IgsAeQEkvvTmsNJb+pFT98gFvJDYDD3kaVU3h7u2JQ2psA3pcZjeGSEskfrPdsqMIO5D/96OA3LxTO9YGIMTI0DpzpwvnI2H2uShNCb+9Bp7seD86MRwvK24+NyBtQpLNn21o3X3quU4FK73uk4iqbr97+VuFX3UNWiYeQEVnWZ8MWWZejq7aeUo62cw4dE20WrEy8o9DANDOGRBTHYXdGAPy5PRE4cDwWicJyQKC2NlQJYWLNQgO+vKeyygJIi2ShvViN/gvf1yIIYRv1MlL8xNdggOOjXLhIg06rDtfU4Z5IRF1xwwXlxVqbFwkj2DbN002M4qJRpST01MDgEQ+8ALQ1Zo7YLW9NEyIyj57VcIuDiqSNnKM3vPr3Qgo2L47GQH4J6TRdt0C09lktm19S1G1Cn0MPbw518lzA1JsuI5WBNkgAfn2t26VYXJoVHFsSAH2TJPD92TUHKe9Ioh2hiRDAqWrSIDfGHv5cHrdwnR4YCAEXuXy+5jG0ZYiyND4ObG+yuGxkBcuLCaIOKhC1BIFPAJTMk69oNKG1Sw9eTGgqwfZ6tn4cSiRIlEiVjc7+Z+uxMtGldlpW9Znu9Lc7JmfmHZ9vwD2cz6MksIZcyjqiIICgimejTgDFfynb9S+0GO1+KeSzV7zrJlBEtUdkFjQnb1s0N5D8AyLT9Th1oGFgrp68UpON0rhmtKrS1v2vlHUjgjjUXdHb/eeWcSNr9dzvJ/m8GRQxZ6sUSpd2Bw0wEU+Us3fMwETgcNH7ggQdgNBrR3d2NoKAgbNiwAR4eDk/jwgSwND4M5oEh1Mo7wPXzQUSQL4JGDQ/b8mpblDVr8NzSudh58irl84oWLV6+Nxkv/nAeRzfn4afr7ahp7UBSJBvzI4LR1TuAIxtzUdmiRW58GG1G8Dfb8nHsmgI+Hu4wmPvx+4L5MPYPokbegc/rWhHi642a1g6cbFRhiYCLpEg2IoN8yRLDFl0Pju8oJIPRGxbHYf+6bFTJtDjfpkcIy2tGN1SwxnTx5KXGcCDTG6Hq7iWJ8CMCWJgdHTql60wH5J0mNPzhIZxuUqFcqkGWkIvnC+bj43PNt3trDmMm8CTeqnv48lIrHksWIjEimORc05v70d03iJRoDgp3HcfOVYtxWWkg9YmPx6xxM258PNzx2IIYtLywGkUNSvz261okR7IxhxeEV09cIk+hD2/IIRvUEPdTII7Ag/OjKZQ84yE1hoNPLrTQ/o3IxslnaFA5AsA0MIjEiBBc13SjQByO5wsSSZ25cXH8pLvfuuCCCy44gk8vyrAtQwyunzd+ut5OO+aCQo9HFsbirz9PJvVUY0cPkqPYCA9gIT2Wi5fvTcamQ2UAgMUxHNQp9NhX1YiPN+aiRt6BU41q5MTxEBPiB52pj8JJbPt++XLLMvqgWxQbvYNDZEPoM80axIf6Yw4viAzavXxvMm3j008utCAlOtSlW11wuMmbpseMmBB/tOiNONuqxTOZs/Hq/Yvw8o8XMZsXhNXvl+DwhhxIdT2QaLtwvk1P26BpX5Wl0vOvP0+24ey22CYfPpGNwxtzcU6uw6nRJuQZAh7MA4P0Tch5QWTGZ2JEMBL5IZRnuKxZTclEJkBkKJsGBim2XLFEZfcMWa/nTLarI2C2c6lB8tx4+kZwOXH2OoWJyuNko8qOf9fPy4OW/5fozWGNiVZElDfT0xOUS9XYsDhugmM1lOBbWowlI9o2EGubEW0ZGwrJHx7CKStf7vcF89E3OEQZ50gzr1MMGeF0nM4XFHpKLIJIjDter6AEuNNiOGhxYv85I4YDqa7Hbv9zaX6TmQZHstRnIhx5HiYCh6O9v/71r6HRaBAfHw+5XE5+/tBDDzm8uAvMUHWbKQFbIpjx5uo0vLk6DTK9EW0GE8ICWbQncMmRIXi95ApSouyV2qZDZfjx6eWoaNZgaXwY5oYFoVyqgUxvRHxoAOSdJvxsLh8/1rfTnlAcq1fgvUoJKmVacl9vP5yOd880YPeaJfjrjxetGik0UEqdJNpuPF+QiLXW5SNW5YrWDRvuBr44R06Fbwam/iH88rNKsonBwZomvHtm0CnJ4NenxFGaMBIy+NVW5ys3sf79ixrakS+OuCW//63ErZLhLCEPO0uu4Ott+ShpUKKsWYNMAReJ/BCclCixc1UqrqoM2JIuwmOj5TcZsRw7ygnr7N2oYF/o+wYo5UoAtRyzrt0Amd6Ir7cuw5eXW5EjDEOeKAwB3u4IYvlMeP9Bo4dfdPqZcKyYmgh+8uRSfLMtH3/87jyKJUqU/McKaglppQTvlNffFTrSBRdcuL14Lm8eihra0WkeYMz6yhJwsUwcTlsKunNVKgp3HSf1LAAKZcVrxZfxxCIBni9IxKsn6rA5TYxNh0pxdHMe1N1m2kzlogYlDqzLRplUjfNtekrT5bZOE7mWRNuFh+ZH43STCu+vzUKdQo8f6xU4vMESqJ4XHmxHd+XSrXc3HG3ypuo2o1HbTXmXE0Her7bm452yerzy82SEB7JgMPdjaHgE94QFoXDXcaTHWOyU/dUWOr+3VqdBb+pnzOgvk6qxv7oJ8Rx/vFC4AF4e7njwvSLoTP1kE8nzbTrkicKRHstBaZMa29JFZFC6TqGHRNtNzpkt5OF0o5rSpBKwZOzHhPghMSKYcs9EdZR108rzbTpkx4VhxeyIGfvMHKhppDT5zBLwkB3Hw4GaJvxheSI57qxMS3sYUN2qRSzbnzLnEoasZOueHQQGhoYBAGH+PkiP4SCY5UX53BoTPfBwpEowS0i/12ybYHieiD4RIjzQfn0/L088QOPLfW3jy8n0PfhmWz6KrZrrLROFo1XfY9fMK1vIm9A+AWBLmghrPqShp7Dxi41O7j939w3S7//JpTO+EZ4jWeozEUzPbRbN8zAROBw0bmpqwg8//DCpxVyYOJgaKlxVdWJfVSPmRwTjiUVC+Hi4057ALeSz8cvPqvD4aKae9d/Zvl5QdJnxVmk9RJwAeHu4o29wCGJOAJ77shpvrE7DFWUnI8l7VYuWcjKtM/UjxNcbW9JEZCOFTWkibDpUhrZOE+raDZBou8hmDDU3aDRVKdNSSrhnOqaDJ6+2zdJB0/pEdQ4vCLVtHUjgBd54gjsIzI3XnLPchPj9U4NGIBQKbvNuJodbIcMF4nDkxPHwAIWfeKzL/XNfnsWexzJRa1XiV9Gixf88kEJrtHq5z8LssEB8frH1hvqnWKJEagwHyXw2Tjaq8OShMuxbm+mwfC2KYjNmwwHMsnyuTYe8+DBcUOgQHeyLH8ZpOnM36EgXXHDh9kDVbabwPh7fUUir0+aGB+PbK2031K2N2i5w/Hzsxn1U24xMAQ+N2h7UqzuRHMmGt/ssKLvNZJMiIlO5rdOEihYNiiVKxIcGYP3iOPz2qxpKtiRhdy6KCsVnF2W4d24k3j1zHZqePvQNDmHL4XKsnBMBt9Gxtnt26da7F+M196WTiTqFHte13bTXVLRo8Lf7F+HvJy5B/MoXZJD4l1mzkRgRjEqZlpIJvJAfgooWzQ15tw/WSvGLxBgY+wbJda2D0CG+Xnjph/No1PaQQWnTgKWBObFegTgceaJwmPotFa3EM/bqiTqsTAhDZEiA3frWGbfEenmiMNw3lw+238QP1Z0NgpAAiF/5guTfPd2kxubD5TiwLpsy7qcGJXZXNNgdBmzPEOPhhQLK2AX8EFpdOp8fYrd+RYsW6w+WkvNKtN2olGlxcH02hKFjv5MjBx7ZcfRZ0XSVFrkMY22Dbz4e7rSJEN89VWA3ZzHDc1Zi48tx/Fm4f08R/l/uXPwqey6qW7W4f0+RHfcwYAl40+0zjyYrubpVS7t+jZzqFzu7/8y4fxsajpkIR7LUZyLyGSoklk2yIsThoHFMTAwUCgX4fP6NB7swaTA1VKiV6/CXe5Mg0/fg8LlmfHe1jXLamxTJRoaAi32jJyubDpXhy63LcEVp6fSZE8fDvPBgMhvD2sj29fLAUxlijIyMjGbm2b+4AHuOrH1rs6iZw7BvpFAr1+Gv9yahRW9k7Fpp27BhpjZUuB2YzQuaMc3jZmq5iU6ng1DoeLnITEVksB8+PNtIyzlGdLnvNPejxKaD8vDICP7zaJWdrH+xZRmGh5nlx1r/JEWysXe0moLAZORrb6WENutkb5UEf78/5YZNBL/dlg+proeib+nGueCCCy7cCtgG0IgMw7ZOI8qkaqREhSKeE4gD1U0wDwzSzmGtW2vkOtpSZetx5xU6/N9Di/GLcRp0pcdywfX3Rkp0KP5y7KJdeT1gsTsvKw3oGxzGxsVx+F3+fFTJtPhslG7j3rmR+POxC7R7cenWuxeONvdtNZgYg7zENQK2JSOSCBKXNKpwZGMuGju6cbpJjezR/gqDwyN4dKEAHaY+2gw5a//LYO63o+Mi5vfz8sD/PpSKH+sVONWoxvYlYuSLI1DdqsW2dBHSY7lYnhBBOZQHLM/Yt9vyYda2AzRBY6bKspkcMAaA+RGWPkCWJp+WzxIjgnFPeDBlHJG9a30YANBn7zZ39GDnqlQ0artQ3dqBxdEWXdqi67HjFCaoLGznPWnDFezIgUdNK31WdK28w46G7bJST5tpfUVpoGRQn25S0a5fKlXbrT9RX46wo2e5jUBr6kUs2w87V6Xi/UoJ/nb/Isq1kUG++PapAhQ1KFEqVSFbGIZ8cTgtrRwzPYiSUrrv7P6zs+//ZnCxTYejm/NwTdUJZbf5/2fvzOOaOvP9/2HfCYSQhIQtEBZbqQoIKDtUrXWsU7uqxarV1rb23pnOvXd6O9O7OXNnfnc63pm5nam92uqtbdV2attptQuCKIuAClqtCwQSlkASQiCssv/+CCfmJOdgwirkeb9evl6SnJzznOR5vuf5fp/v8/1A6OOBWIFhx4V5lvpCROznhZM7c1BokqWfIxVCPMl7d7T2wLy8PGzduhUtLS1Yv349tmzZgq1btxr/EaaXbCnzKsASkT+OVyvQ3NmH5SEBUOr7sGp/Po5crEf/0AiOXKxHuaINF5raAQBKfR+qm3UYGRlF3+AwGjt6UdXUbiHyBBi2c2dKBThwvhYijgeiAw014EzZEi8xijFQn7mbMArV7qPVCnTeHkRGJPMKz1Ixl7ZtaqEKKswFE4kYzDfY6g3ay3YTe4KqV7wlIcKYbZa/exUUOkP2zE2NHhkmK6YpYTyD+BFTxo+iDSOjo6z9h7I/cUF+WDyeAWRKmsT2ldn7hX4W9nnV/nwsHnc02Ow8ZfvEfl5IixCwiu8RG0kgEKaCursfx6vl2P1JOY5Xy6Hu7qe9bx5Ao+acLfp+bFomAdfTDQCg6OhhFS41ndslhfIg8HFjPc7d2Qm7V8TgbB1z8OGWRo/N8eFICg2Auvs2bqn1eIAhMw8AEoK5UOh68WrWffjqejN+/lUVdH0D+PeHlmBHshRBvh53tcEE+8PWPhHi58na96nPUBm6wB2RuystHWju7MOzyyOQLRWgrXcAhTIVflB1InO8Nq4p5jWK/TxckRrOPJ+JD+bi9ZPVcHNyQpCPBxp0vXj6/XP45kYLlgVzsVTkh3MsY6xYroFs0I3VJlA7y95+IgVPLg1fsCUpTFHourFvw3LsfzwZO5Ol2P94MvZtWI6Gjh7acaa/MwVbrecV4YFwd3YE19MNyaE8cD3d4O7siJQwy/IU1vbJiRY8zDl1o4VxfnrqutLi2CCOFzYeKsL+shr0D45gf1kNNh4qgtAsGGvL9a315XKkAoRzvdDQ0YuPLsnR0NGLcK4X67xYzPFEXmIE9mZGIi8xglWHhM1nNJ/rz3f/eb63fyqck7dBoetFa1c/Khu1aO3qh0LXy1rrdyEi9vNCXmIk/vRIPPISIycdMAZsyDR+5ZVXJn0Rgu2wFd1fIvLHnhOGZU7TbYLU6iOT8EFmpABn61T4sEqOlDAe3nkihfHcof7eyL/VgudXRoPj7oKXP60wrkI2dPRi2/JIVDXr8MdzN4zbmP52remu26j6hoYRw+fgg0v1+GnmItweGrFKsGGhCirMBdaKGMwH7H27ib3Q1T+IHclS/Dr/KhwcDKr3VM2zo3kZeO5YGX6xKg7tvQNWiYOekamwOiYIuSz9J2W8jtwSkT9cnejrqXFBfqwT1Img+qr5FlSqr1orIrgQBBMJBMK9hTVbmdnqXvq6u+CfT1ZjcZAfVkUH4Tfr4tHa1T/h3C4uyA+xfF8E+XpYHJcbJcSaWBEcHRxwWalDRSPznOVKSwdey43D2v8tgFLfh+I9a7CUZZt3JM8XP8/xo5XXML9HYlsJ5tjaJ+JE/vB0dZ7wM6YZuvcL/bDlg2LascV71tC29f+59BbOvrwa+TWtqGrWIX68ZjclJBkX5AehjweEYsuxRPX93X+twNPLJPjsWqOx5vFNjR7VzTrEBfmjhCXT80ytCv1DI/iwSm5XGjMTkRwWiDXvnIani6Eu7KHKOvQNDePbFx6kHWeLxsfo2JjVpRys7ZOZkQZ7bb47L5Mh6EzZdgcHGP8BzIsjVOAxJYxnPJYKPJpmRdtyfba5eI6ZL3e/0A/rGGrln9w5sY5Nb2/vhO+z+5L0ts53/3m+t38qbE+KNGreAHdqzR/fmjHHLZt9rl27hoSEhCmdw+qgcVJS0pQuRLAN6sFzRqZCkUyNpFAe0iL48HFzwec7snDquhK9g0M4tSsX5+rVKJKpkRLGQ05UEKqb27ErJQrpEXxkSQ3bMnzdnY11Pq+pOnFoUyrKFW20LSnbjpbi5dQY1Ld346MqOQ48tQJl8jZ4uzrjhRVRjFsFv9iRjVJ5G+M2quSwQHA9XbFrRRQcHRzw7PJI/Kn4BlaE83Fiexbyb7UYJ0NrFwXjSosOz6dEzZgYnD2TEcHs+M1Hx+hSczujKEJVc7tdbDexF9p6+uEAB6SEB+KKUocdSVL8/pFEPPn+OVQ1t2NNjAhVzTr8/KsqY4mertuDCPHzYrRHGZECVDS2Y+0iMeN2naPVCtS0daG8oQ3PJETgq53Z+Pxa04Tb2+7GZ1cbDUJ+JtfKkgrx+dVG7ElfdFcHgxI0qVZ24ONnM1HV3I6zMjWxkQQCYcqwbWU+I1MZtzwzBSu2xEuwJlaEtYvEOFunwumaVvQPjSBbKsTnO7Lx9Q0lLit1yJYKER8cgPcqZTjw5AqsCA9E1+1B9AwM49jWDJQr2lDRoMVKSSAyIgRG8WdTQVNzsqUCtHb1Y90iMbKjhJAE+KB/yHC+MnkbKhu1yIwU4H6hH9Tdt9EzOMwopEdt12aywWkSPmo0evzrN1cmFJIiLExsFfcV+HjA0QH4+NlMlNRrUNmoRZZUgGyzfiPw8cCDUUH46nozbTw9lyxF39AIvFzvuORKfR8y//wdSl95CAnBXHDcXXGhqR0PLxIb/EEJH46OwLFqBT7emoFLzTqcq1MjOZyHjAiBUQCvubMXJ7ZnYWhklBY8uabqxFaWgJF5CcKrrZ347lYLWvT9COd62eV4MBet/knmItY+Ya3Gx+kaZrH5gloV8hLp9s/aPpkcxrNaiC4nilm0LirQsizJdbUe+btX0eri7l27DPm3WmjHpbBcP4hjeX1rt84X1KoYy9QVytQW3xNgKgSoQnYnWPvrpeZ2xvIgVUodrQ1UINwcpkD4vQhr++eh/28rlIaWed+patYhhs+Z6+bNO2yuaUyYXU5eb4YDHHCwvBa7Pj5vXPFdf3+I8Zinl0nw9DKJoda0vxdC/b2wIS4UwJ2th4sEfsYVTWpC/sHFemOh/mZ9Hw5vSkVzZy8Kalrx8CIxbg+NQNc3gMVCPxROULA+TcJnXK1bd58YPm4u0PYO4Jenqo3ZgtRKz9E8w0rPpWYdLis78PYTKbT7orBWCZbATnwIsyDX0mDmLXWTZTZ+q7ggfzR29CKC641QPy84OzqgsaMXi4OYt6gS7n2ofjM4PIoV4YEQcTzh4eqChw8UWGQXFL28Gv97vhb//tAS1Gj0+Ob5XFxsaseRi/V4KFaEhJAAxr4eHxyAL64ZBJGo7TqJwQH4/FoTVvzpGxzelApPV2dcUerQ1NmLh6KDsHZRsM33YNr3w/y9EL73BH61dimeXBKOykYtwveewNG8dOPn2BwM8yzA3535AZvjw/HWxmRwxpWzCQQCYbJMtJV4bawYHA9XODoAn+/IRmGtCjVtXdiWFImLje3Q3x7C9qOl8HJ1xppYERQdPThUKcPLabHo7B9E/9AIBL7uuKbqwL+ujsPpWhWeO1Zm3HGRHMrDmhgRfr1uKb5v6cA5k1qY5Q1a7F27jFXQSODjgQej7+i+n77VglJ5G8QcTwT5eKCwVoVyRRtezb4PBTWtjEJ6pvVpKRu8JkaEigYt/v3bK1gi5uLJpeHYdrQUXE9Xu8+0tDdsFfcN9PZAoLcHogN9sSNZyniMursffyq+CW3PbQDA+vuD8d8bEtHZP4jvbrUY++ifim+A4+4CmbYb2r4B/OHcDTjAAW7OTgjmeGJgeBg8L1d0DQxjsdDPKFr+8H1iODoAeR+WYE2MCGKOJ/aX1eCd8zV4MTWGNpYmGmNrYkX4TcE1WttL6jXoHxrB66eq7Tbz2FrRamv9oFIFc6Z3qZw5GGpNn+wZGMZLn1bg6WXheGqZYc750qcVeH9zmsWxo2NgzHQ2z54G7mRserkaMq0/vFSP3sFhi4xNR0cHxnN+8Vw2Y3upufhEGa9UcGrimAAAIABJREFUmTrzgPW3tyzLaFDz5qRQHhKCuSioVeE3BdcY+2uZQovVMSJjeRBqXl0mb6PFIibyKeYDy8Sz4//fi3zfytx38m+10OpW2wPLli2b8jlI0PgepkimwkdVCtprEyn4tra20gQKKePp5eqMLQkRFhPyvqFhfFglB2AodfHqFxcsAjTHt2bg+GUFWhhqIAPAeYUWWZFC/OWxZFxp6TBmLi8R+aNvaBj/+s0VZEYK8PqDcThUKUNyWCD+a30CRsfGcLFJiyqlDokhAYzKpqb3YI0SLIGdw5XMglyHK+vwWzMhgckyW7/V8Ajzli4mJV3CvY+6ux8//fwCfvXwMhTXq/G7Mz/g5bQYXGGpw3W6phW/yL0f7b0DuNzSgZJ6DVIlfHz8bAZOXleyis8drpRh/f30IPCFpnb88uvLrPbP2r7L1vdP7spFXJAffvn1ZeOx1m59ZsoC/KhKgfX3hxCBJgKBMGXYSk+siRWhqbMPDhjDqv2nEc71xh9/vBy50UJsePcMvFyd8fyKaPzPxiQ0dvSiuN6wGy5VwkdrVx+Wibl4JjECBTWtOK9oQ8/AMNIkfDSbzCOHR8fwbFIkvvpBieHRUQtBL0pwT6HrQWWjFjkTZHvGifzxD19estjuv+HdM6xCeuZbsM1tuPnxbPNuAsFaCmtVKJKp8PyKaLywIhrebs4orFXhQpMWaRIBInk+cHF0wOMPhEGpN5QE5Hq44mydxkKHxtvNBd23h5ATFYSu20MorlcjOYyH1TEivLgyBsX1aiwRc/H/1sdD7OuJ/zrzg0V7KKH0K0odzivajHOl3Z+U04TMAXr28UR+qD0wkWi1LX5QZoQQB8std8Vlsuj+WBOM1vb048udOThTq8LxagVSJXx8uTMHMk2XxflsEc37QdWJfRuW04JvsXwOrqs7aRmb52QsdbLrNAhL9IY51tzTjmQpLUseAGuJgepmg/BZcb0aZfI2pEoC8VruYlxW6rAmVmxxXtPSRdR5zX1JNp+CSYjvXuTwhZn3/+9VrF3sWMgoO3tRKFOhVG7wlacihEeCxvcwtir4mkM9EJ5JkFjU+TSdkLf19KO5s5fR0F9sasfY2BjSJAIcYHy4CXBDrce6g4VIDuUZM5f3NGpx6OmV2JkShY2HisD1dMW+Dcuxan8+zv/dQ3j+kztBv4NgD9DY8lAjsLNExDUojpv8RhWNWny4xXL1ebLM1m9VImdR563XIDrQd9quQ5gdimQq/OrhZdhoUv7mqWXhjMrKCcEBWBMjQmv3AJ58/6xFkPe7Fx5Efk0rY18/siUVUh69f8SJ/LElXsIq5mlt32Xr+6VyDQpfXIXTtSqrtrmaMlX7TyAQCBNhXnpCzPHEsbx01Lf34H+KbyAjUoB9G5bDzdkRb3x9GSnhgcY55TIxF1s/KrGoFfiXx5IRzffFeoYalMfy0pH+1rcAgGNb0/Fjk3IU5pl1lODeie1ZeHN9PLzd2XdXUFu3C24pUSzX4vElYWjoYJ7TUkJ65gt3bDacEnQmdpcwFfT9gyiSqdDU2YecKCGaOnqx43iZxfj53ydSIOJ4omtgCMeqFYgPDkDRy6uR9efvaIHjknoNXlgRjaePnLMYZ/s2LDeW6MqNEuLwppVYEc6zWCBS6vtwrbUDpfI2DAyPGOdKAPBoXCiSQ3nGWuTLxFyjng5A5iFs2OIHJbJksCaEWGawWhuMjuZz8CMG2/sVQ/1fW+aYkgAfbD9aatHWQ5tSaceVstTPLZFr8IyZjbf2nqqadYzfabXSssTAIgHHWOYIuHP/X+ywzHSmSheYn7equZ3mSy4R+TP7z89Mn/88k8yG/3+vYu1ix0JF2dlLqwdOPWdO7syZVODY8e6HEOaKqao6K3SGIvAybbeFsi81Ifdzd0F0IIcxQAMA5+rUeHxJOJLDeIyKsCvDA/H5tUYAMBihKrlx0lEq1+DE9w04vCnVOPl+LkmKmrZu1jp65tiixEpgJyE4wCjIRf1G0729ZrZ+K/OMpLu9Tri3GRweRXE9fSHA3dkJaRGW9u/Y1nS88fVlnK5lrgX37a0WZEkFjH09TSLAtzfp29nq2rrwWu5ifN/CIp5nZd+dqO9zvdwnpTQ+VftPIBAIEyHw8cDHz2birY1J2JksxbcvPIiXPq3As0dLcbBChq0fleLVLy4gwNMNDg4wJh+4OTvhmqqT0Qb/oOrEDTXze42dvfj2hQdx+OmVKKnX0Ha/rY4RMc4xE4O5EwaMTe8l3nsYbz+RgtzoIJytY7bJV1o68NbGZAs7zGbDKUFnYncJU6GpsxcJIQE4sT0LlxrbcZllJ5VM241DlbV45UQlDlbI8NKnFdh4qAgfm2XGrYkV4WIzc9CLWugAgNdy4/DwgUKE+Hkzjq/FQf54r1JG890AwzjZmSzFWxuTcGhTKo6O70qlIOOBGVv8oPfGd4BS9vetjUnYt2E5DjFockwUjDalsJa9Tr05K8fFny1el/AtXjMVwnsmQYKUMJ5RCM+ac6ZKLF+39p7YbPlZhu/6bJ2asZ3n6pmPtea8s+E/zyRJocztXx46P9o/FSQBPnj1iwtGe/rKiUq8+sUFhHMt63YvRKjxYIphPDDH/O4GCRrPEkp9H96/UIcXPj6P9y/UWWw1YoLKAjFloq3NLi4uxhrGuz8pR5CvB/J3r0JTZx9i+RzGc/l5uuHNoh8sgsoUS8Vc/PHsDTToevHptkx8sCUNu1Kk2P94MvZtWA4HB2BFuOUDhvpskUxtnMBcVuqwdpEYJXJmQ13E8AAggZPp4b3KWsbJyXuVlpOTyTJbvxXb1q2seSJKQKCzIjwQZfI2PJcsxV+3ZeLAkylwdXZERoSAZrOeS5aiuF5NC16YUyrXoEXfz9jXyxQaiwyOWAEHw6OjSJNMre/ORN+31f4TCATC3fDyomeXcNxdoOm+jbWxIpTJNYwORpmiDW7OTkgaD0QF+3niHIvDfbGpHequ24zvnZGpEOjlho0PhNESFVLCeCiu1zDa7SoWW89Eb2+v8f9sNjknSkirCa/u7sfpWy1IYnGgl4q5GMMYsbsEI1yu9bVAKZ/sf4pvYnWMCL0DQ9D1D7DOYc7Va+AAB9prV1s7cV19JxAcF+SHWD4Hl5raGc9xpaUDy0MDkBLGM+6i2na0lDa+Dj+9Eqd25UKh62E8R0IwF02dfThysR4XGrW4YHItMg9hx5a54DKxIYP1yMV69A8ZMr1X7c/HMoZas9YGo9kSwEoYXo8T+SMuyI8WYDUsJPhZHEsJ4W1JiDDWiM/fvQrXVXrGc9JeG1+cYLsn0+sz3RP1nZofx/SdUvWPzdt5TdVpcewKtqC52eus/jNDcP9e5EC5YXHiwJMrsCslCgeeXGHYjcCwe3yhcZVlcc58sWOhwrRYArAvmNwNUp5iFlDq+7COQdDp5K5ciDmerJ+zVcHXVxjCuNXj8KZUYzkKmbYL1c06rJQEQszxwrajpQCAh2JFFttkcqOEWBMrwhiAv36vQHqEQZE6IZiLa62dOF4tx9PLwlmF8GL4HOOKlpTngzWxInA9XbFuUTBjqQvKITGFSbmbTFhsJ4rni1X78/FcshQJwVxcatZhz4lKHHhyxbRdY7Z+q4xIAeN10hkyUwn3PuFcb7yx+gEU1qrwzQ0lUiV8CH080KDrxpc7c/D1DSU6+gbwTGIkPrhYB5m2G1sSDNvczBVx0yMEKKxV4fVT1RZbsXalROFHi+g1zbxcndHa1c8qdGFt352Jvj86BsZa8aNjkz4lgUCwY9Td/bjU7Yw/fFKObKkAOeNOdzTfFx39g7jQxL6LJyGYi/iQAPzr6gfw8CIxrqv0tO3ulC1+eJEYzk7M+ShLRVy8+NcKPBQrQqqEb9xCL+X5oEyuwcEKmYXdfj4lilEg+W6kRTDPE1JNAgKm26Pzd69iPD43OggbHwglGhoEk/qrKmR34q5Cz7reAWP/EnM88WrWfShvaIM00Jc1UScplIeDDHXGKxu12Jksxe6V0Qj288Lrp6qxOsagYWM6DwKAp5aGQejrid8WXDUGp6ndpdT4aunqh6erEwTe7oz9PpLni91/rUBckB9WRQdhZHTMIJ41Pg9xdLBoog3f38IVNafsDlVDVabtRu/gMFIZsnepeWNFo9aY5c02b8yMZK4/n2kWpDa1q7R2MVxf3dWPE9uzcFOth6q7H08tDUesgIPaNsv6x9bW/23q6GGsn9vc2YtlZn3+4UUiPLk03EKkrHdwiHZcTpQQxXvWYGBkBI4ODhgdG4ObkxOiAi2zRW2pf/zAeIDb/NjFInqAOzpw5v3nmYQqr/Hlc9l4Y1UcrrR0YNX+fLsoT1HGUi6lVN42ofjiQiEplIcD5TILX5kp3mYNJGg8CxTUMG+lLqxVMSqkmmKLgm9pA/NWpebOXry0Mhq3NHosD+UhMSQAwX5eWL0/H0p9H/J3r8LuT8qxb8NyqLr6cLZOjaViLtbEimh1RqlaKPs2LMebRdeRJRXAx90Vqu5+fPFcNs7K1CiVa4wPCSognSrh436hH26o9fj2phyZkQIU71mDp48UGzOu44L8kBFpeKiZTiweXiTCyV25KJVrbK4JSrgD9dC93NKBqmbDg7x4zxoE+U7f92jrIsdkOS83ZCTVabtwsakdiSEBiOT5olzRhseWhE3rtQjTg7mzsDpGiL7BURTUqpAZKaDVILum6sStti78fXos/uO7K/jn3DicqVNj73ffY2V4IPauXQYvVydjf6Ymm79bnwBJgA8Ka1sBgDYRBwyZ6ObbnIdGRvHSpxXQ9Q3i8KZU40Q3SypEhoRndd+dib6ff6sF24+VWdSKP7wp9a7PDQKBQDCFqX5k8Z41RlHZlDCecTHOnMxIAQaGRhDg6YZwrjcOltfip5n3IS7Iz2g7Kce/e3AYmZEC5EYJUWCSMWaaSFDRqEXDGxuNDrvpQqC53Z7sbo1LTVqc2J6F0zWtuNTUbpyXbj9WhiNb0iDw8aBtj6YSK25p9LjS0jGh8B7B/rAcP8xaLKZznZXhgdi3Ybmxb/06/ypSwgPh7+GGIB8PxoDVyvBA7Pr4vMX1MyL5UHX1IyNSiJ3jtZD/bc0S2jzoxZUxSAwJwOELdVgk8MVPMu7DD6pOWhCRGl+HN62Evn8IP/n8Ii3IlxEpMJyjsg7vb05FQkgAMv/8HYI5nrR5yNG8dJtqGtuLqLmsTY8vd+agaFx4avfKaGRJhajTdlkkiVHzxmutnWjs6EWovxcWB/kxfh9siQ3mJRJyo5gTGHIYxObjgvzR0NEDRUcvrih1WCLmws/DFYuFllnB1tb/TQ4LxJp3TsPTxdnYX/qGhvHtCw8y3BOPllBHtfXkrlzacWNjQJCvB26MB7eFPh4IF3hjjCGBwpb6xwodc4C7UddDC3BnS1n8Z8786LeZEXw0vLERhbUq/Md33yNVYvjbHkoNpEoCGRdbmBZRFiJZkUJGX1k4SZtLgsazAPt2EfW0Ov/FrCsqGiwTc/H+xXrsOVGJ51Oi8PYTKTi5Kxfft3RAoetGQa0KBbUqvLk+Hv/8YBwU7d04w1IbSaHrwS9XxcHdxRm/yv8eWZEChPmF4Uf3BcPdxQmnb7UaBRPigvyQJRXikXctC/N/+8KD+MPZ68aVaw9nZxytkiPM3wv/+GUVlPo+48Si8MVVRHRhCrg6ORqdQwqqGPp0Yssix2TJr2mlZSQdqqxDRaMWO1OkJGg8xzBlkjg6wMJZULyxEesPFiIplIcxjBkzcQ5vSgXHwxmeLs5Qdffjn3PjzIr4G+zBZ9uz8KjJghZg6M9H89KRyrLzIZth0lxsUlfTNAvH280ZHBfbUmmmu+9Tzw3zIMp0PzcIBML8YjIZe+b1I1PCeLS6quUNWuxduwxb4iVwcIAxazFLKjRu4zWdx5260YJjeengebkzipKe2J6Fb2+24LJSh+SwQCwV+ePHh4qM17/U3I5Dm1JRrmjDZaUO2dO8W+OGugvN+n58cLGelrkMwChKZbrl2zQTc1dKFJlvEmhYI3DGFhj9eGsGqpQ6fFglx7YkKX5bcBX/umYJjuZl4LyiDZWNWmRFCpAUyoO7ixPjOAj390aaRIAajR5f7MjGqRtK8L3d8TDDLlZKdJwKwDFlvoo5Xtjw3hnjsdTc588lt/DI4mBsiAvBdzdbcK5ODaW+D0p9H20eYqsQnr2ImocH+NBEQKnFhS+esxRio9D23kZFoxaerk6sx7xXIWMMcB6qkOE3P4o3Hif288LJnTkolKlQItcgTcJHjlTIKHrVPTjE6BcyZeVOVP/36WUS49+ODvQdcnmJEayZ6edM6g+bZkEW19PPOTQyhtaufovgdpi/96TbCQDJoTw8fKDAIsB9yixo7ersxOw/mx13rzIKWC2OuNDIirTv3erOLLGfvz03ud+eBI1nAfbtItPbadPDAxnLPiwdDxhTD3wqc0PM8YSY44ndn5Qbj/3r941wc3GGtuc2a93lykYtHosLgYuTAx5/IAxdtwcwNDqK7261oKhOjbQIPn6Wcz96bg8i1N8Lp24oGScLJfVqiHw9jSvXxXvWIDdKiA+r5Di8KRWr9ucbjz1NlHqnRMH4AsCvH16KpFAeKhu1+MWpyyiUqebdFg1qPJkH06Z7PBFsg9VhejaT1vfcnZ2MC1IvroxGmdyw2PW357IR4OWGjr4BAICnizPO1VvW2PRydaYFeymutnbiYpNhkmpt1q/5duyKRi0cHABtzwDGmNIYZpHZem4QCIT5w2Qz9kwDpClhPGxNjEBn/6DxNTHHEx4uTng5NQauzo7wcXOBi5Mj3i6rwQ11Jzr6hmg2V6nvwz9+eQm7V0Yzi5LebEFVsw4DwyPwc3fBnhOVtDmlq5MTajR6HBkP6r72VZUxKDIdmb6ZkQIcqqTPE6jghKLdUMc1W2q55buiUYufZC6a1DUJC5eJaspSvglbYPS6Wg9vV2c8kyDBn4pv4LXcOHzf0oGu20PIjRYiSyrATz+/iC0fluDN9Qn49oUHUdnYjq9+aMJSMRcrwgPh6eqMa62GRR5XZyc8tTSc1beidGQqGrUorG3Fdy88iHN1auTXtOL5FVFIjxDg6feLLY6taNQiJYyHNAkfZ2pV+PZWC+vug8dtTNCw5vtbCJSyzE3L5G0WQU5bbDlV/9i8fM/RvHSLNoj9vJCXGHlX346thn2pvM0iK3dFOHPGpnn938JaFTZ/UILnkqSID+GiqslQyoEpM/1Kiw75u1dZlKf47lYLLcDbY0NweyVbOxkyS0UcT5zcmYOiOjWK6zV4OS0GWZECiMwywqnd4hb+sxW7xe8FJhJHnG/+v630Dg7hs+1ZKKnXoEShQVo4H2kRfIsSKAsVamHGvO8W16tZbftE2EN2+pyTGx3EWBg+Z5oFwlLDAhivQ20JpP42X2ExLdxf3qBFLJ8DmbabteZWQjAXUj4He7/7HiKOJ7KjRHj0UBG2fFiCUzeUCPbzQlGtCgfKZfjmZgseEHEZazdfbGpHXXs3hkfHUPv6j1Gr7cYbX19GgKcbpDwfPGtizJiUZ01F/45Xy6Hu7rf+y7Iz9P2DULyxESJfTxyvVkDk6wnFGxtpTuN0MBu/yWyNJ4JtsDlM8vZuWt+TBHgbs2gvjddXTwnjQTxeKuWysgN/OHsDZYo2pEfwsTaWXodYyvNh3b1RNv66wMcDD0YJ8ezyCMjbe1AkUzH2RVNRRTHH0yigUdHYhi9vqefUppB+TiAQzLFWcd6cxx8IxStpMSh95SFsSYhAVbMOwnGxZDHHE59uy4SY4wE/T1dUNevwZtEPKJW3YffKaHx7swVn6yznYFKeD0pYVLgvKw0B4+9bOyD09aAt8MYF+eEBkT+ypEL0DQ3jwyo5vrrejFX781Gm0OD//SgeTy4Nv2vA2Hy+ERByxwmKDvQ1bt02te3uzk4Q+npA3d2PnCgiNkqwDmsEzpgCo2KOJ5YFc+Ho4AB3ZydjHWK5rgcJIQH4uxMXEPWfn6NaaQig+bq74F++vozWrj7sSYtFYkgArrV24t3yWkgCfCDmeOLDS/X44ocm3B/kx+hbXVbqIOUZ6r2W1Gvwh3M3wPVyx8EKGXYcO4+Nh4rw2/HsVOpYaoxsTYzEB5fk4Hi4Yu/aZVhiJmwm5niieM8aaHpu2zTPtxdRc1uEp2yx5ab1jz+skhv1gphslbKzF+9fqMMLH5/H+xfqoOzstTgGMCSAWfv6A2wCd2b1f6uVHcjfvQpLg7mobtZhaTAX+btXobrZUvhxR5IUr35xAa+cqMTBChleOVGJV7+4gB1J9EBmCUsgvlRuubs6aVzMz7ydTEKn6u5+rDtYiCKZGktF/iiSqbHuYKFFf2b3nwcsznkvYos44kKjTtuNMQARPG9sXiZBBM8bYwDq27vnummzQkf/AGPfpZKzbIVkGs8CYo4nTu7KRWGtCiVyNdIkBgGSiUTwJkOXqskiwy5VwkdVczueT4lizbgzF3HadrR0fNuhG2Naf1yQP8rkGryWG4fDlTKkRfCNxxzelIpXv7jAKMZHZQ5TLBVzceRiPY5tTafVTqa2TnyxIxv/d7EOKWE8bDN7iNhLfazp4tEHQmd8e8ps/SazNZ4ItnFGprbYZgYA9wv9aH1PEuBtzKKNCDA8yJ9cEo72vgHatj6qj365Mwfhe08YryPTduOFFdGMWbiUA2LeFwEw9sUck/pvlraLuWbhbEH6OYFAMGcyGXvq7n609Q7g2SQpth8tZSwlwfd2N+hfmGR0UTbw0NOpON9g6aDLtN14fkUUoy1ODgtEqL8X4oL84OToiLMvr0GpXA0Rx4tmx5h2hXA8XC3Ox3RPE803uF5u+NH9wXi77Bb2bVhOs+2mJdJmQ4eBMP+xRuyWKXP98KZU2pijPvfe0yvxTlmNcTHFfP5xsEJGqzmev3sVNh05Z9GHJ/KtTP8f4udlzCg2zTDekSxFiJ8nHBwc8PMvq/BhlZzWzsObUvHRM+mobevC1zdb8GrWfTRBNGvn+fYiak4JTzG9bo4tttxa3QxlZy+tpBvVT07uzLEoUZEZKWRsaxZDgF/Rzlz/t8Gs/u/2pEirhegustRJvtSsQ7RJpvNEAq07kqW01zhuLowC0r5uLhafpzJwk0J5cHAAHBzuZOCaZjrPhv88k9gijrjQWBzkT9PMAWCML9kDj8ZNb98lQeNZQszxRF5ixIxuZRgaGmKsqynmeE6oPm36MCqsVWGJyB+3h0fx24If8N5TK3GpuR2XmnXIiRIiNTwQH1TJgbExDI+O4bXcxfhT8Q0Ahq1/NzV6xoeATNtlnLAAdzKgFwf5obhezfiZc3VqXPunR3CuTo1DlXVQ6HqMtfvYVmhPXlci1M8TcSJ/MvE3YTa2p8xmzTJqPK0J9Qafv/AffPOBVzPvw+naVto2sxvqTou+94tTl9H6b48bhRle+awSbz6SyNpHi2Qq/GrtUvzy68sAgN7BYVqwl8LUAbG2L5oKkSh03fdczb3ZeG4QCIT5A1NgCmDO2FN390N/ewhP/t9ZeLk6Y0tChEVdYynPBwJvd1xt7YCio5fRBl5r7UBSKM/C5vYODiM9QsBoi9fdJ4bAx5DRW1DTwlp/ebK14K2x8WKOJwpfXI2vrjdPeOxM6zAQ5j90P6kVOVFBFkE788BoShgPtW1dzCUrVHo8GheKgxUyRt/JtOb4ZHwrKhPV9P9Sno/xuMtKHf62MxvtvQP47lYryhvakBIeiG1JUqOI+b4Ny3GlRYfzCi1SJYH4h+z78L2yY1LzpNkSyp5r0iTM9jAtwtJPscWWA9bZygKWeTRTKUK2eTST/kdymHX1f9kDwe0WJS/OsmZlq7Ap/k7Q1pbgdn5NK4uA9EqL+5frulH7+o9RXK9GmbwNqZJAvJa7GMeqFbTj5nt5B2rXovnvnBMVNIetmh3O1rHEl+rVyONa1sReaEx3352zoPHQ0BBee+01KJVKODo6Yu/evYiMvPcH30KFehj1DAzjYHmtcWLxfxfrLIRBdiRJUdvWBQ9XZ/y24BpSxmsaSXk+uKK03IICANXNOvzq4aU4Xq1AfDAXa2LFuNioxZYECT66JGf8TIlCgwejg/Dr01dponhnX17DukJb0dCGIplhSyTJOr7DRNtTpuuhNxc1y5qamkjQ+B5Aqe+jiSEBhklJwYur8frJKovjB0ZGaVnFr+UunrCP/suqB6DQ9RizBjxdHHFiexbOK9pQUq+xcEBszeAQ+HjQarvf7TMEAoEwF1ibsafu7sc//u0SUsIDcbW1E88kSIzzM0p0lKolOTI2ClV3P+v8rVTRhovN7TiWl4FqpQ5n6wy7SkL9vfH0+8X48Jl0XG3pwNk6NTKlAmSPB4ZncveRtTae6+WGMhaRaGLbCbZA+UnLOWOQSMIZ3zcNjG5LisShyjrGcxXXq/F3GYsQF+SHNbEii7Fn6k/dzbf63SMJOHKxHpmRAsQHc/FehQxvbUxCDJ9jDACbZh8DQLZUiBZ9H7Z+ZJkFfXhTKgAw7ho9NP6eOdaMpdkQyp5rfNyZM119GDJdZyL72hZfz5ZAvmh851uRTHWn/q9UaFH/t5glEHyuToPN8fTkh9RwPg4yBINTzTJgMyKYxa3TGTJl2QWkLe//mYRImrgrlYVpLhI2G/7zTOIAgzjhD6pOXGxqR2JIAO4X+sE2qe/5yXz/7abKdN//nNU0Pnv2LIaHh3Hs2DG8/PLL+MMf/jBXTSGY4OXqRDO0gMH4erndWV8I9HbHYqEfvm8xqAHH8jmIC/KbsA7yivBAHK1SoH9oBP93oR6Rv/4M4QE+aO8dYCxQDxgeKO+crzFOYABK7KqdtT7WUjEXMm23VTX+7AnzhzDFdG5PsZeaZQRLKKEIU662dqJO22XR93798FKjEB7FsWrFhH30dE0r+odG8M3NFtweHsVX11vwX4XX4O/hil+vW2ZR/3IyfZH0XwKBcK/1zfvkAAAgAElEQVRDOfpH89LxfEoUjualMwZhi2QqODjAGGwynZ99vDWDVkvyWLUCQh8P1vlbUigPY2OAq7MjfN2dkRQaAD8PV7g4OeC/f5yIS03taOjoxdblEVgdHWRsy2TrL1uDLfaa2HbCdKLTMQdwgTuB0befSEFyWOCEvsrvz1zHie1ZSAwOQHIYvXyB6Xi9m291Q9WJf1n9AFbHBMHXzQVOjg44crEeq/bnQ6nvY9S2WR4agBJ5G+P47OwfgEzLnCF9taUDyQylFshYMnChsQ23h0ch8HZHcigPAm933B4exUWGEgvW2nJbsNXXo/rrPyUK7lpHXszxxJaECOx/IgVbEiIYS6WZ6oSYwpQVnBkpYKw/nBFBP/a8og37NizHWxuTsDNZirc2JmHfhuXGEnimUPefEsbDMwkSpIyPK6b7Z38+0ev3z4b/PJOUyTW4PTwKrqcbkkN54Hq64fbwKM4rFn5NY1v6w0JkuvvunGUaSyQSjIyMYHR0FD09PXB2JpUy7gWsXfn09XDFeYXBYG87WorDm1JxS6NHSnggcx1kkT+2HyujnWPjoSJ88Vw2AllqJ2dHCbH9WBne8vGgbb/665UG/NtDSxg/YzoxIlkkd7BlG9JksZeaZQRL2FYz362U4V9WPUDrF0mhPHx8WWE8RszxRFJoIKIDfRj7T5ZUaKxpnL97FWPd4ZO7cmkT2Mn0RdJ/CYSZwelnR2z+zMjv82agJQsDazL2zsjUkGm7jQrZ5Q1a/Nf6BFT/bB2qlTqanbuh1mNTvAR+Hq6MNnBFeCCypAKa9gT13l8eS6bN7UwziWdy95Et9prYdsJcwdb3YvgcxPA5xjGVv3sV7bjyBi1+tz4BcUF+KG/QYu/aZay+1X8XXYe3uwuWirioaNTiiaXhiOVz8IDIHwnBXORGB+G8og27UqKQEclHZoQAxXINa/ZyZ/8gLjW1M75XpmhDllRgIWxJxpKBUzdacKC81lgeQabtRkWjFs+nRDGWiZzu7GsqEGveT8wDsebodDpIJJIJj7GGDJbrpzNc/5ZGjxPbs1BSr0GpQoPUcD7SIvioaetCmEnpgPyaVhyskNFKTlQ0arEzRYrHloTRzrkqOgjFe9bgckuHsVTe79YnQMJQisDaLMxcFv85Zxr955kkMtCXsa46266BhYQt/WEhMt2xH4exsbGx6WqcLbS2tuKll15CX18fOjo6sH//fsTHxzMeOzAwgGvXrs1yC+0HLy8vuLm5YWBgAIODg/AVhqCssR3n5G3IkAQiLZwH9HWhr68Pvb0GFVaRJAp/u6nCS59WGM+THMrD8pAAvJIei8omLc7VaZAUykNOlBAXG7V46kixxbW/fC4bDg4OiOH7Wjw4bmn02PvdVcQF+aF/aMQo0HBk0wok+QHOvgE436TD2fo2LBH5G7diKfV9xuPivYeNbTYlISFhJr5KC+6FvrtkyRKcrdMgWsBBkUyFErkGaRI+sqRC1Gr0yIjg48qVK1O+jouLi0XfWRkagC5VE4aGhqbhTgjAvdd3AwICcK5txGJRCAAOb1qJVcFeGHb3wZnxvvdP2fejoqEdeR+VALgTCA7meOHtJ5JpfTRbKsTuTyrw9U0lUsJ42JIQgVdOVDJeJ53nhPZ2g6Mzmb5I+u/Mc6/13cmS9NH1GTv3bFO5+T6bPzMb9z+Zds0k86nvenl54VK3M7YeO4+KnzyMz642oq3nNl5OjcHHVxqg7blNE8ZJCePhJxmLkBTGw+2hEZTK21DZqEVWpAD3B/nhyIV6hAd4M9retzYmGZ14iiObVmAlzxmlbcPYeuy8xWcmmptZiy322t5t+3zquwsNpr6XHinEm0XXEcPnGMcUVTLmlkaPKy0dSAjmIksqRGf/IK62dqKmrQvPLo9EVXM7ztWpjUJkzZ292F9Wgz8/nkwLDCWH8pAlFeDZ5ZEolbchO0qIoeERtHT1YXkID8VyDerbexjH9Oc7stHZP4BtRy3ndH95LAkJITzcUHeiTN6GzIhArAwLQGdL44yMpdnou9PVb03trrko9HTYPGuu3+roAynfz8LXk2k6ETTaPeXrm8YLzM/l5eWF67fd4OflYSGYp+/rxyI3+mcCQiLw4/dL8NTScGNi2PHLCny+NQ3tTYZSKnfzL0zn/SKRCLddvfEow+LmZ9uz4D7Yg5aWFgBAVFQUPr/VxnreDdGBqK2tNXynDj6QCmz/Tu+FvhsbG4tPr6tY73PjIiFu3rw5k02cU/jhUVh/yLJ04pfbM6FRWNYTX0jcd9990N4eARwcLPquw9gYAtydcP265Vx+on47Z+m9hw8fRlpaGn72s5+htbUVzz77LL788ku4ubmxfmbx4sUTvj8bXLp0adYmYLYymbapu/tRJFPhzFVKpCQMAh8PhPP9sTlRCl3vbeTXtN4RMYk2vH+8Wo6oQF/aCkZFoxZ9Q8PYFC/BW8W3sCZGhIHhYXDcXRBpdixgGLj3Cf3w24JrOFBeix1JUiQEc1Fcr8H2Y2XYlRKFNTEi8H3cjbW44oL8kBsjNm6hCef74+H7QrDnRAX2mEx+zI+ba+a6737yfSMOlNfiV2uX4skl4ahs1CJ87wk8nxKFnGjRtPZpqu8Y4ftP27nNuZfHo63cq/diTd918e9jFVoQjmcA5yVGYnWMCGdqVVgkNJS08XJ1Ngq8XG3tRPjeE8Y+yvc2XLNZb5iQTVTXz5AZsALh4eG01yfTF6nP3Lx5E+F8/xntv/OFe7Vv3o3ptrvG72EBBY0n9bvOwv3PZH+bD/15qn03oKcfxXvWoKq5He29A0iP4MPN2Qk/qDqxOkZEO7a8QYsAL3dsePcMlofwsDkhHI/GheDvPqvElg9L8EyCBPrbg4zXuazU0QS2AKBYrsXmxBR4BPQzPhemc25mauPv9rvO5txkupkPfdaU+dRWW5nMb2He9/7joaX4+VeXjH8r9X1YtT8fyaE87EyWoqmzD2+e+QH9QyOQabtxYkcW/vFvF1Gn7aEJkf3PxiQ4OABXW+gCdVRN1+hAX4yOjmHLkWL0DQ3j5M4cfHBJjqQwHnzdXBjHZ1JoAAYGBhjfiwrk4PWTVfjgmXRE8Xxwtk4DB8cOZEmj7hl/a7JYa3Mn+v0pu2ue2RgV6INA75n/fnz0fVhnIlj3dmkNfl90fXw3npj1c9b0aYt4wXg8wJQ/fFJOy7SmFhSfT4nCo0+kWJzz5K5cFNS04vhlQ4k6atdgOP9OWybyL8QcT9q8/2iVnLHkREWDFk/HSxAUdEf8LTPSkTUr29fX2/h9GO6pkNF/fpvhnuaCifouW03/Mnkb8hIjF7StPl7N3B/ON+nw5AK+b4qSG3I882GJRd/9cEsano6X2Pzbz1nQ2NfXFy4uhsLwHA4Hw8PDGBkZmavm2CV3Eylhe58Sojt1Q2lcGadWFFPCA9EzMIQHRP4QcTwQyfPFP/ztEn50nxj7Niy3WH1s6OhBShgPB8pr8V6lDO+ZLHonhfIwMDyM3OggfN/SgZ9kLmIs0s/xcMWbjyRi/f0hC1qVdyqkSgJxoLwWv/z6stnr9lHXhzCziMdFMgprVSiRq5EmESAnSkgrGWFqT6isGgeMWSgVU310Z4oUjz8Qhi935uBMrQqtXX0I8vWkZchRpEmmf2vkTGaEEAj3CpMpHUG49xkdA176tMJi/rZvw3IAsHCWf1twFZ9tz8I3N1sgb+/BtzdbsD0pCivD+ei6PQihrwej7TUX2ALu1De1RWiJQLAnOB6uyJYKccBMCKyiUYu8xAh8e6sFeYkRxqCbtuc2XlwZYxRYy0uMwBKRP8ZgKIHBFhgqb9AiOZSHn2QuQqqEj+1HS1FQq4KY44mjeek4lpeBMsX4zgITEcvv5bW0sbtSwsfiID80d/bi0KZUrN6fbxFsI+LjlnYXuPPdzAYl9WpaIhdFqVwzpRIY1oqaZksFOFBeayFEx1TzWt3dj3UHCiyE6MzPaY1/QcFWL/9snRpPx9PLb1xu0TGWx7jcoqOVx6Duydx/ni91vCn/35y0iIXv/89kiaz5ADUezPsu03iwhjkLGm/btg2vv/46Nm/ejKGhIfz0pz+Fp6elASDMHBOJlDy5NJz1fUqI7kB5rXFlnFpRBAwPglfSY7Hr+HnjQ+PVrPuw5YNi4+ontUq+//EUrGCpg5wqCYS/pxv43u53Xc2zB1XeqZAZyVzXJoPUISNME2KOJ/ISI5CXGGHxXlvPbXx7s8XY/6ismueSpMiQClgCwXxcbGqHXNeD9t4B+Hu4stYHzJknkzcCgUCYDQprmedvtzR6fHOzhbaInxYhQGp4IDL//B2COZ54KFaEiAAf2vyObQ6xROSPPRPUNyVzMwKBmYnqHfcNDRs1WlLCeKhq1mH7sTKav7WnUYvDm1bi5bQYfDNeS9ecnCihcewdrZKjoNYg8qXU9yHjrW+RHMrDWxuTkBDMpYntDQ0NMY7dZWIua/Ye5TvaM3fzq2eamQqSWXtfttSPt+W7msi/MGVlOHOAdCVDglTseE3x5SE84y7nfWev4/jWDNpx870mfvY8b/9UYAuY20vCHPt4CJzU+eYsaOzl5YU//vGPc3V5Au7+cGF731yIjlpRpII3Sn0/1v5vgbG2MAD0Dwzh0KZUlCvajKvkMXwOnnz/HE7tysFfHks2rqAvFXOxROSP3oFhPPX+ObJ6PQ30DQ7hs+1ZKDZZUU2P4KNvcOHX8yPMLUp9H/5SegvantsW771bKcOLaTGsW8Te+PoyPF2d8fiSMHxyWQGelxu+3JmDoloVShSaCTMOCAQCwR7R9w+iSKZifO+yUgeOu4sxIJwlFWDdIhFeP3UZSn0flPo+VDRqjcJc1PyuqE6NY3npUHT04KzMUFN1cZAfxmCoa3y5RYfcqCCSSUwgWIl5Jj6VzXtd1Yl9G5Zj29FSAPRMYvMMzpJ6DfJvtWJbknTCwBCbTaho1OKd8zXYbEPWmb1n703EXH83VEKXxetTTKyw9r4cHcDozzs6TP6cthAn8mccB4uD/CyOHRoZNba1WqlDfDAX25MiMTQySjtuvu+Y+exqo8FvMqtr+/nVRuxJXzTXzZtRMiLYhBntI2jMPh4mV5przoLGhLnnbg+Xid5nM6KuTg546v1ztIBxXJAfxD5uONfQjiMX62l1jgDgplqPyEBfhPl7wc3JEX4errg9PIqnjxRDqe8jq9fTwLXWTnC93BHi54nNyyQYHRuDXNeLjr7biBVYPkwJhOmioKYVRTIVtiQwZwjUa7vw+Y5snKtT07aIXWjUQqbtRl5iBI5XKzAwPIJ9Z2+g4kgxzv/9WuQtj2Q8H4FAINgzFxq1tKxBUzKlArg7OcHT1RkJwVxkRArA9XK3mO9tO1qKw5tS0dzZizJFG7KlAkTyfDAyOor+oRHaHC45lId9P05EStjkslcIBHuFKZs3zM8Tp2tVWLdIjOwoIR6MCkJ+DXMmMVUehhqvlJBejllgayKbkBzGgyTAx+o2z1RgciEw19/NTGXFWntfhbUqbP6gxCIj/mheuoUfPxPfVVNHD2MpzObOXiwz6/831Xpwvdwh8HZHcijPGHto1XRZBNXm844Zvrc7TS+Gqmt7NC99rps241xo1DL2h4tN7bQSJAuVurYuxvuv13ZZjAdrIEFjO+ZuD5e7vc9mRJmCyWp5LbKkUfhNwTV8WCWnnS8+JADvVsjg4+qM62o9ZNpu2ko6Wb2eOpGBvth+tNRYHkSm7Ubf0DAObUqd66YRFjilcg3KG7TYu3YZoz1ZHhqIR94ttNgitm/DcvQNDRu2P5uJXIb5e83FrRAIBMI9z1+/b8STS8MZ7W1sIAf/fe46XsuNw67j51HVrMPbT6RYzPeU+j68+sUF/O25HGxYHAKOh6vxPN+30kW3+oaGIbEDB4xAmA24Xu4WvtVEpSwof4naPbArJcrCZ5rIJjwYLYKHi6PV7Zvv2/Vnkrn+bmYqK9ba+6Kyh80z4pn8+Jn4rpLDArHmndMWpTCZakrbi19Mfc+mdW3tZbyerlWxCjM+tiRsrps345j3cWo8TLaPk6CxHWFUPpUZlE9zooQTPlwm+/BhCib3+/oaz5d/qxUlcg1WhgciTuSPqqZ2vJQajYIaFX5hVqwbIKvX00G9lr7aRJUHkbd3T2q1iUCwllQJHwcrZLRMGEMdTT5Wx4gs7ExGpAAvpcWgubMXJ3fl4vbQMA48ucJCqIVAmA5sFoL76PrMNIRAmCaypQILe7tUzEV2lBBybTe2J0UZS4j9JNOwPdXa+R7bcY4OBqVyan6ZRew0gTBtmI+7tAg+EkICsHr/adpxFY1a45g2hc0m5EYJ4ePmBH9P90m3xdxWmPua9mQLbPWbZ+K7mkxWLJc7sR9I3de11k40dvQi1N8Li4P8LNpqS/bwTAS4Tc9ZWNuKn2QuYj2neVYy5RczZSXPZ8y/kxw7KiNlizDjQmS6+zgJGtsJEymfTvRwmcqWDKW+D1eUOqi6+yH08YCLvg9ijiceXiTCdXUnius1OF3TaljdO30Vp3blktXrGSIlLBDrDhYiKYSH+BAuqpp0eOd8DU7uzJnrphEWOLnRQcZxbVpHc02sGHxvg6NC2ZkHo4NwU61HdVM7hL4eGBwewX+evoYwfy+IfD1w8nozsqX28bAnEAiEyZAlFYLr6UoTsitTaJAq4WNv/lWj8zRZ0Trz49Td/Vi1n3l+aQ+OKYEwGzCNO66nq0U5wCUif7zw8XmkSvjIjQ6CmOPJahM2PhBqU8CYrS0UE/ma9mILrLWj98J3dSdorUJ2J+4atNb23kZFoxaerk6M79uaPTwTZR+ocy7njEEiYT+vLVnJ8x3qO8kSeYLPt496vgCQNl7T2Mv1TjZ57+Cw3QjhTXcfJ0FjO2E6FV2ZVkYdHQy1jKjXMiIEaND1QNHRiytKHZaIufDzcIWjgwOCfD3w9xmLjKuLpiuB1q462vNK9mRwc3bEVztzUFirQqlcg7QIPv5lzQNwc7Z+SxqBYCttPf0YHB7Bx1szUCJvQ2WjFpmRAmRGCuDkMEbLTEuT8LHuYKHRTok5njiWl47cqCCcrVNhiZiLtAgBKhu1WH9/yBzfGYFAIMwtbPMg87nUsmAuFgk46B4YQl5iBOKC/JAdJWTctWF6zsxIARJCAvBehQzLxP7IiRJidAwW16xoaJu2+SWBQLg76u5+VDS04dCmVFxr7UCZvA2ZUgFC/bywav9pKPV9OFghQ1yQH07uyoWY42nhX2VLBRgdm/wOASb7w2YLKhu1SArlEb/NhOn0y02x1j+2DFrLWIPW1ga474VMawqdTgeJhF3g0bytE2Ulz/eYA21xQNo779o/WX5o7cCJ7VkorlejTN6G51dEIT1CgOuqTrsRUP9sexaK6zUoVWiwe2X0lEQASdDYTpgulVK2B8dfHkvG5g9KAACjY2NYKubipU8rLFYbj2/NQJCvB+vqojWrjvfC6ux8o29oFI+8eycgR00m//YcyTQmzAzq7n7UabuNdoDKbjl1oxkZkQLkvn1nDF9t7UBn/xDNXhzelMpoQxZavTECgUCwlbvNg6i5VJCvB37+ZRVNtE7K8wHH3dXqwMC+Dcuxan8+ivesodlk6n02m0z0KAiE6cd8nCaH8vCP2ffBzdkJ6W99Szv2amsnCmtVyEuMYMxUZrMhtrbhbrYg2M+L+G1mTJdfboot/rEtQevCWuZjz8hUeHoZPTA7nzKt7SHmYMviwEIj0McDGw8VWcQ+7MWP7OwfxFPvnzNmGu8vq8G+s9dxfGvGpH57kmZoJ2RLmbeG2FrXhe0hc6WlA8mhPADAw7EilNRrGI8rlbfZdD1b2nC2jvkBTADOsH1nMtUctYiw0Lna0oHLLXcEkyoatfiwSo6PqhQorG2Fp8udNUspzwdVze3Gv1PCeLip0TP22WtmrxEIBIK9Ye086INx4RcKyg5/fq3R6nPe0ujxXJKUZs9N37/Wemf+Z4q91A0kEGYT83Fa0aiFpuc2vrjWxHh8iZzZN5rIhnh5TSw2zPZZJluQEsbDVRbbYc9+23T55abY4h9PFLQ252wds69YxHIOa5gvvvx8aScb8739U4HN7tiLH0nF4qh5X0WjdkqxOBI0thOoOkOmTKZeMNtD5rJSBynPBwCg6x/EhSYt43GVjcyvT0cbmB50BANlcg3j6yUK5tcJhKnS1Gmoac5EiVxjtBcAINN2Y4lJUX4pz4f1s2x9mUAgEOwFa+dBbLX70iSWc7+J5nfxIdwJbHIbsswCIESPgkCYGZjG6aVmHVbaMNbZzgMYbIibm5vNbQCYbUGWVIgyBXOQwp79tunyy02xxT+2JWidxLAoONHr1jBffPn50k425nv7pwKb3bEXP3K6Y3EkaGwnULV7jual4/mUKBzNS5/U1gS2h8xSMRcybTcA4N0KGTIimFdKzScTk2EmVmcXOuyOo30UgyfMDOrufhyvlmP3J+U4Xi2Hurvf+F6InyctEGxKmoRvtBcAUN6gRSyfgwNPpCB/94PIjQpi/SwZ5wQCwd6xdh5ECZGaQgUmzO32RPO7zr5B1gBBdpQQ/5B135TnlwQC4e4wjdN3K2TIZglC5rDMmSayIQMDAxO2YU9aDFLCmHcXULbgNw8vQ9nfPYSfZ99P/DYGbPXLJ5pvU9jyPdsStKYExcyPTZtCfdSZ7hOhoaHTcp753nfne/ungj3fOwBkRLLE4ia5MEVqGtsR06FSSj04zOuMLhH5Y8/4ykV5gxZ/etSX8bhs6dQGaltPP1aG821SZyXccRzNv7OcqKA5bBVhPnO3Ol9xIn94ujqz9rvfF103vrY2VoyoQB80d/bieLUCqRI+Hrk/GP97voaMcwKBYBVOPzti/cEfGezPyO/zZqg1M4u1KvVijidO7spFYa0KJXI10iR8pEn4ePzwWVxqbqfZbaZz5kYJ8VCsCF/fbEF8SADrNble7hb1UicrsEUgENhhG/tero5mY12AnCghq+ATmz+XKuFDJbthcXxbTz86+odQUq9GZaMWL6bG4Lc/iseWD0qg1PfRbEFmpABjY2M4VFlnEDpmuZa9z+emu/6vtc8F6tqUEFxhbStyooJYheD8PVzwl8eScaWlA5eVOiwVc7FE5A9/D5dJ3rltbbUFpb4PBTWtKJVrkCrpQm500JREz2aqnbPFfG//VEhnsTv2kjCXFcl8/xkkaEyYDS41abFvw3Lc0uiND47FQX4Q+nrgaF66US011J+u1JsZwUd2dNCUnAZKWOvfvr1Ca0NCSABWRQfB0WEab3SB4QgwPvDJVgPCZLmbiIbAxwOODsDHz2aipF6DykYtsqQCZI8HD0ztwy9WxeFHB+lCjblRQpzcmYNSRZtVKswEAoFgL9iiUi/meCIvMQJ5iREol6sh/c/Pae9TdjtbKrCYJzwUK8Kj40IyYo4nDm9KhUzbhepmHes157twEIFwL8M29gO8DGOLGut3g8mfi+FzUNXcjiizmsbmwsbAHUGtL57LRm1bl9EWMI3/3CghTu7KRalcM+/nc1wu8y64mcRa0TpbngvU8U8uDcdyzhgkknDGYwAg0NsDo2NA39AI3J2dEOLvhUieDwK9J//7OTqw+KVT8OWV+j6sO1BgIXx2clfupAPHtn6n9xq2LA4sNBzA3MfsJVwkGk8aOFunwrk6DTIi+ciMFEI0ybFAgsYEC+irdHzaKt2pGy04UF5rVOA+Mi6y8nxKFN5+IsVitZRaQb158+aUDdTVlg7U63pQUKtCQa3K2IbDlXUYGR1DVKAvHoxe+EZwMuTXtGL7sTLa77anUYvDm1YiLzFyrptHmIdYo/wc6O2BQG8PRAf6YkeylHacaYbF+xfqLCbEBbUqFMpUWBHGQ8/tIXi7OmN4dGxG7oVAIBDmG7buHtP3D+LwxXrG9xTtPfhuZBRbPyo1zhOqm3UYA4y2Wanvw6r9+UgO5WHfjxOREhbIeC5rAxwEAmFyTMfO0Yn8uf9YHYfj1XJUKzvwUmoMrrV2QNHRyziua9u6aO1gGv8FtSqUyjVTbvNcou7uR5FMhTMyFbI7Mau7J6yZb1NMpm/odDpIJJIJjxH4eEzr/RbWqrD5gxILv/RoXvqk+0hBTStjHy2sVVm1kMLGdIy3ucTaxYGFBol9GJIGNsdH4MFgb/D5U8uwJomGBBrUKt32Y2U4WCHD9mNlWHegAEp9H4A79WFMlRiBu9eH6e3tnXLbmjr7cKmp3fi3aRsuK3Vo6pj6NRYqpeNF381/txI7KQZPmH6ms1ZUKZtQo1yDho4+7PqkHOvfPUOzRQQCgUCwDnV3P145UYkHRMxZcstDA3BuXE2dmicMjIwwit9VNGrxf5V1rNeyZ+EdAmG+wObPZUoFePWrKmz+oASrY0R453wNVN39rEKY5uN6IY5/Knt68wclOFAuw+YPSrDmndOMdYVnArZSApnToBM0V1D9xLz/TaWfsPsSzH3S3tDpmMfwQoXEPu7Q1NQ05XOQoDGBxkSrdMDMqL1aS4ifJxJCAhjfWyrmIsTfi/E9AhHCI0w/02kLJuqfpiqvpraIQCAQCNZRJFPhwyo5YvkcRrvt4+5qIT4q03ZPSpDU3sVnCIT5ANscLj44AB9VKZASxsNNjR5FMhU4Hpb2gcJ8XC/E8T/R7onZIGG8nrwp1G81X5mJfsLuS8zf4Dph8pDYx/RCylMQaEy0SpeXGDGntX0mEtZaIvJHJM9nxtswX8mJYi6EP1VhQoL9Mp22IJelf2ZJhQjfe4J2LGWLCATCwsUmUTvCXaGyurYdLcXhTanGOqZpEj4Wi/yx4d0zOLwplWaHyxu0+N36BJtFdOxZeIdAmC+wzeH++6xBBE/K88EVpQ7lDVr4e7ghyMfDqnG9EMe/LeUhZoL3KmSM9acPVcjwmx/Fz/j1Z4KZ6Cfsou/E17VHSOxjeiFBYwKNVAkfBytkFq+brtLNVW0fSljrryHPRFYAACAASURBVNsyUdmoxbk6DZJCeUiL4MPfw2VKBfkXOrfUeny5MwdFMhVK5BqkSfjIkgpRo+lCsB/J0CZMjumyBWI/L5zcmYNCk/6ZLRVi9ycVFseSjAECgUCwjWypAAfKa2l1iaU8H8QKOKjR6KHU91kGlCMEiAr0sXlxcL4LBxEI9gLTHG6Z2B+AYafBlgTDAv22o6U4mpeOo3kZOK9osxA2Nj/nQhv/lP20eH2WgpHLxP40u03Vnz6alz4r158JZqKfiMeFvwprVSiRq5EmESAnSjhpETzC/IbEPqYXEjQm0LjXV+koYS0pzxeb40m2obXECv2w7kABnloajieXhKOyUYv1BwtxclfuXDeNQABgCBznJUYaxQmU+j406+l1yu8lW0QgEAjzBfOsropGLfqGhhHq74VQfy/je1RgIksqwLpFInC93AHA5sXB+S4cRCDYK5StKG/QYu/aZUbbkPHWt0gO5SEvUYI318fD292V9RwLbfzPdfY0df2KRq2xLut8z94GZqafiDmeyEuMwJrQqQt/EeY3JPYxvZCgMYEGWaVbmJj+rh9fUSBNIsDJXbnkdyXcsxBbRCAQCNMDldVVcEuJYrnWIquLKeOLChgTCAT7QeDjgc+3pqGyRY/8Wy34+NlMVDX/f/buPK6t684b/4d9RyAEQuwCgZcYg8EYbDaDTRwnTdymiRPbwUtiJ24n/T1NMs9M2mf6TGfSmXSepJ6kTRt37MZOnAQ7abPUcRKH2HgBB4jBG7bBCMQmQEJIYCFWAb8/hC5arrAEYv++X6+8XrG4ks6Vjs4953vP+Z5OnBfLmLZhooDxQmQ4K/ZsbRtyYwUzOnt6Ic7enm7Nzc0UNF7kKPZhXxQ0Jmb0d+kob+jCQndfyXxDbREhhNgH38cDSd5abH88jfVvC2lmICFk8jqb67E1OZlpD+ICffHkKuHsFmqW6dvIFM4ohMKoWXt/aqMJsR7FPuzHcbYLQAiZWc3NzbNdBEIIIYTMMI1Gc++DCCGEsFIqlbNdBEKIjSj2MXUUNCaEEEIIIYQQQgghhBDCoKAxIYQQQgghhBBCCCGEEAYFjQkhhBBCCCGEEEIIIYQwKGhMCCGEEEIIIYQQQgghhOE82wWwxujoKABgcHBwlkuiMzAwMNtFsIjKZj1XV1c4ODhM63vMtbqrN9e+i6lYjOeymOvuTFpIdWuq7PVZUN0lc4kt9Xqh1N2F3K7RubGbyboLLOzvAVj45wfMnXOc7ro7mTZ3rnw29kTnZH9Ud+eWxXzuwNRjDA6jhlf5OUqtVuPOnTuzXQyywKxYsQJubm7T+h5Ud8l0oLpL5iuqu2S+orpL5iuqu2S+mu66S/WWTBequ2Q+slRv50XQeGRkBBqNBi4uLtN+p5wsHjMx84LqLpkOVHfJfEV1l8xXVHfJfEV1l8xX0113qd6S6UJ1l8xH83qmMSGEEEIIIYQQQgghhJCZQRvhEUIIIYQQQgghhBBCCGFQ0JgQQgghhBBCCCGEEEIIg4LGhBBCCCGEEEIIIYQQQhgUNCaEEEIIIYQQQgghhBDCoKAxIYQQQgghhBBCCCGEEAYFjQkhhBBCCCGEEEIIIYQwKGhMCCGEEEIIIYQQQgghhEFBY0IIIYQQQgghhBBCCCEMChoTQgghhBBCCCGEEEIIYVDQmBBCCCGEEEIIIYQQQgiDgsaEEEIIIYQQQgghhBBCGBQ0JoQQQgghhBBCCCGEEMKgoDEhhBBCCCGEEEIIIYQQBgWNCSGEEEIIIYQQQgghhDAoaEwIIYQQQgghhBBCCCGEQUFjQgghhBBCCCGEEEIIIQwKGhNCCCGEEEIIIYQQQghhzIug8ejoKAYGBjA6OjrbRSHEJlR3yXxFdZfMV1R3yXxFdZfMV1R3yXxE9ZbMV1R3yUyaF0HjwcFBVFVVYXBwcLaLgps3b852ESyiss09c6nu6i2k74LOZfrMxbo7k+ba9zGb5ttnMV11d65+DlQu28zVcgHT3+7O5XOfKjq32aWvu1VVVbNdlGk1H76LqVoM56hna5u7ED8bOqf5iequ9RbzuQP2Of95ETSeS/r7+2e7CBZR2Yg1FtJ3QedCpgt9H+Pos9CZq58Dlcs2c7VcM2Ehnzud29yw0G80z6fvYrIWwzlO1kL8bOicFofF/Jks5nMH7HP+znYoB6uhoSG8/PLLkEqlcHR0xCuvvIKYmBjm79evX8dvf/tbjI6OIjAwEK+99hrc3NymqziEEEIIIYQQQgghhBBCrDBtM43Pnz8PrVaL48eP4x/+4R/wxhtvMH8bHR3Fr371K7z66qsoKChAZmYmpFLpdBWFEEIIIYQQQgghhBBCiJWmbaaxUCjE8PAwRkZG0NPTA2fn8beSSCTw8/PD0aNHUVtbi+zsbERHR09XUQghhBBCCCGEEEIIIYRYyWF0mrZcbGtrw09/+lP09vZCpVLh4MGDSEpKAgBUVFRgz549+PTTTxEREYH9+/dj7969WLt2LetrDQwMLPiNFcjMSk5OnpH3obpL7I3qLpmvqO6S+YrqLpmvqO6S+Wom6i7VWzIdqO6S+WiiejttM42PHj2KjIwMvPTSS2hra8OuXbtw8uRJuLm5wc/PD5GRkUyO48zMTFRVVVkMGuutWLFi1vMeV1RUzFgHzFZUtrlrLtRdvYX0XdC5TL+5VHdn0lz9PmbDfP0s7F135+rnQOWyzVwtl6Hpanfnw7lPFp3b3DGfymqr+fZdTMZiOEdT1ra5C/GzoXOa3xZz3bXWYj53wD7nP205jX19feHj4wMA4HA40Gq1GB4eBgCEh4dDo9GgsbERAHD58mXExsZOV1EIIWTO43K5s10EQlh5eXnNdhEIIYSQWUfXQ0LIfETjTDIV0zbTePfu3fjlL3+J7du3Y2hoCC+88ALOnDmD3t5ePPHEE/iP//gPvPTSSxgdHcWqVauwfv366SrKtJGp+3BO3I4isQw5Ij7Wi4LB9/GY7WIRQuaR8XakHTldoHaEzAmG17fMKB781X1UL4ndUT9q7nN66ZhNxw//Ln+aSkLI7KDrIbEWXdPIXEPjTGIP0xY09vLywptvvmnx72vXrsVf//rX6Xr7aSdT92HTn7/FjbYuAMCh0lrEC/xw+rmN9EMkhFjFvB0RUztCZh1d38hMoHpGCJnrqJ0i1qK6QuYaGmcSe5m29BQL3TlxO/MD1LvR1oXzdbJZKhEhZL7RtyNpkTw8lSxEWiSP2hEy66hekplA/ShCyFxH7RSxFtUVMtdQf57YCwWNx8jUfThxRYL9H5fixBUJZOo+1uNCQkIAAEVi9h9bUW37tJWRELKwXJGqULg/D0+vEcHDxQlPrxGhcH8errQoZ7toZBHT18sdydFwd3bCjuRoqpfEImv7T6Zmqx9Fef0IIdayVzs12XaSzB/TeU2j+kMmg8aZxF6mLT3FfHKv5STSLg2utarQru5DsI8HRjw0eDQ+HIdKa81eKyc2eKaLTwiZp/alxeLHR8/By9UZIp4P3ikXQzOoxd92r5/topFFSKbuw41WFXavicGT711g6uUHFfXQDGrx92dyceKKBEViGR5cFoLkcB6K62WUu28Rm6j/dC+PrYxg7UelRPDwbU0r4kP8WevTZHNGUl4/QoghtrZkZBQorGlFiUSOzGg+Xsxeji9vSyHt7jV67mMJkTa9D6UtWPhyRPxpiQ3o64++T/b7i9V49UwV1R9yTzTOJPZCQWNMvJwkV8RHo0qDBpUG16RKJIRy4efhiniBP+IFfkbPixf4ITuGP9PFJ4TMUzfaVDiwJQXV8m5ckyqxIzkaS4M4qGpTIYbnM9vFI4uI4aDkpezlrPXyYr0MfyyuQVmTAlsTo/DQoTM0CF7kJuo/rfTyMjveMEiTHcPHxec34cljF5mATLzAD1Fcb+QdLGStT5MNvlBeP0KIIUttyZ9+nIo9xy8BAA6X6dqJ4/mZyHzrNAAglOOJ4/mZaFRpsP/jUqtuXE3UTm5NjJqeEyQzLiOazxobSBcGTel1v2voYO2TlTZ2YMuKiKkWmyxgNM4k9kJBY0y8nCQlPAA//VuZ2QXgxM4snP+H+3G6pg1Fte3IiQ1GdgyfBh+EEKtFcr2xp6DErH05si19FktFFiP9oPapZCGEPB+L9VLE84GDA1At76ZBMJm4/7Ta+Ca6pSDNtz/Jw4Fzt5AQ4o8lQRzsLigBwF6fJht8oaANIcSQpTbhWqsKqRE8lDUpmMcaVRqcfm4j/natES9kL8PW9y7YdONqonaS2p+Fo6JZgQNbUlAj78ZVqRKJoVwsCeKgsqUToRzPSb8ujRXIZFHdIfZCOY2hW07C5rGESJyvk7F2KkokHeB4uGFrYhTefjwNWxOjKGBMCLHJ9VYVa/tS1aqapRKRxUo/qHVzdsL1ViVrvbzRqoKbsxNEPB9ck7LnQ6O8/ouLpf5TTmwwBgYGjB6zFKS5KlXioeWhOHa5HnkHC42WgZvWp8nmjKR9KAghhiy1CVelSohMZuCdq2vHxjgB3n48DZebOmze7GyidpIsHF/ebkXewUIcu1yPvqFh5pr25S3plF6XxgpksqjuEHuhoDF0ee3iBX5Gj8UL/LA6PACljR2szykfuwNNCCGT9V0De/tyycLjhEwX/aB2QDuM7xrYr2+XGjowoB2GWKFGcngA++vQIHhRsdR/yo7hQ6PRGD0+UeA20MuNmdlnyLQ+TTb4QkEbQoghS21CYigXYoXa6LEM4fixFyTs/bOJbkBN1E6S+WWijVT1dcrBYfw/YOrXGRorkMmiukPsZcGkp5jsxigAwPfxwOnnNuJ8ncwo1QTHwxXZMcE4VCo2e856ER/ynn5cblIwG+QlhHKntPyEELK4ZMfoNs1Ii+RBxPOBWKFGaaMC2RYGM4Tcy2SvhfpBrVihxq6UGNZjVocH4OTNFryyeRUEvh6U158w/aeqti40qTSI8PfCCoEf+D4eaDE51tImQdkiPpYE+U5Yn/T1Oi6IY1W9M/0dWMo1SfWVkMVJf80zbROSw7h4/pNyo8dyRXycuCJBg1KDdVFBrOPCiQKDlsaZM7VCdSpjZKJjzUaqubHBuPj8JlxtVTH5Y197OBmxgVPLHasfK5g9TmMFcg80ziT2siCCxvbYlZbv44GtiVFmuaVyY9k7FdkxwRB33EVLdy8qmjuRHB4APw9XODo4QOBLF2JCyL2tF+k6mEMjI8xjLo6OEAbQ5gTEdtZeC2XqPtxoVaG5qxfhfp6ID/E3GtSmRvAQL/BjdlsWK9TQDGqxeWkIsmL42PrueSh7B3F0WzqTuy8nNhg5NBBdlFwcHeHl6gx5Tz88XZ0sHmcYpHkmVYTkMC5k6n5E+HlhcHjUYlDFsF6HcjxxdFs6xIq7uNKiZA2+sP0ONsQG49S+DSiRyHG2tg25sQLah4KQRczRAfjTj1NxrVXF5J9NCPFHuJ8Xvtibi7a7vRD4emKlwA97jl/CmbGZxIX78yZ1A8p0nClT9+HEFcm0B3LtMUZe7KzdSHVkFKz7IJ1+buOU3j87hs/aJ8uKNq9zk7lBEBFBm+ktVDTOJPayIILG07nBiend4eyYIOTECqAeGDK6MOh32P10z3qrG2y680vI4jY0PAyBrwcu1MtwSdKBdcJAZEXzoR0enu2ikXnonLgdXq7OeCpZyMwmML0WdvT0oU6hxh2FGtekSvRpufB0dYZmUAsvV2dsTYzCN9VSfLJnPS6O1ctn18YiM5oPaXcvJMoe5rqXd7AQqRG62Qs8L3e6fi1C0u5efHGzBZUtnUgI5SLQ2wP5HxTj2I4Ms2P5Ph74/JkcOMABReJ2XJLIkS4MgsDXA9dbVchbEsJ6896wjyft7mXq3YEfrkZaZKDZ+7D1Cc/UtqNEIsfWxCikcEYhFEaZPY8QsnicrW3H9veLmWvYscv1eLW7F9/+JA93+wdR3tSJHJEzNEPDqJbfZZ63u6AER7elQ9rdi0sS+dgNUz5GRsEEgR9cFoLkcB6K62WsY7yZDOTSJqBTZ+1nOF2fdVWbirVPdrO9CyEGK5z19UofXP79xWq8eqbKYr2SdvfizJ02lEjkSBfexYY4Aa2YXmBonEnsZUEEja3dlXaiIO1EfzO8O1xdXQ2+jwe+vdPGemHQjoxaPdOL7vwSsrg5wAE/OlJkdvPp5DO5s1wyMh/FBXGwIzmaWRb5yuZV2F1QYnQtVPUNsc6EKcjPwr9+fRmvP7IagT4eePTIOfN6uTcX75QbL8sta1KgrEkBL1dnbIwTzNi5kpnHlvLhoUNnzOrSgS0pOF8nw0ovL/MXGQUeeeesWd36/Okci+/L1scra1Lg3fI6JmisL1vv4DDKmiznHN2aGAWlUgmhUGjLqRNCFhh9u6K/hgG6WcRb3z1vNjY7ui0deQcLAYzfuHr1wVV4+/E0AOZjuq2JUUZto/51PtqVjU+vN0Hg62FTcHEqk4ysHSMTy6z9DG39rK39Xi31yY5sSzc6rqyxAwe2pKBa3s30A5cGcVDepMDD94UbHSvt7jWqo/rXPLVvAwWOFxAaZxJ7WRBBY0t58gzzS00UpAVgdQBXv7HLxXrzC0NaJA/lTQrWjkCRuB1PrhofpNCdX0JIkYV24FxdO/JXs+eVJYSNTN2HPQUlZgG8o9vSodD0M48V18tY69x3DR0QBfjiRqsK7ep+1mMKa9qQFxdicz5HMv+Z9qFutKnQ1TfEWk9q5N1Q9w8hJdo8aHy+jr3+XaiXIZ/rzfre9+rjGZYtLZKHHcnRrK9DOfwIIXqmeWLTInmolndbbNNSI3hGm3VGBYy3V4Zjuole58ydNgxoh1EikbOWiS24ONVJRtaMkcnErM0pbMtnbcv3eqNVxVqfqtq6sCp0fGO+cH9v1n6gaXAZAM5YmPx2trYd+avZr6Fk/qFxJrEXx9kugD1YsyutpSBtVVvXhAFcU15jM2fWRPDM/rZpaQhrMFn3/saP6+9GpkXy8FSyEGmRutebaPddQsjCYmngUGzhcUIssXQdu9s/iAeXhTCPlRsMeg3pH2/u6rVY/8oaO7CUz6Fd4Bch0/ol4vmgsqWT9dirUiWyRHw46LeONzCZNu9efTzDspU2KrA0iL2OJoUFWHwPQsjikhweYNROiHg+uCZVsh57VaqEiDeeAzRe4IeNseMrawxnmN7rdUYBJIwF+kzHgGzBRVvGqGysGSOTiZnWFYD9mmLLZ63/Xg3rgKXv9VKDbvWMaX25ZHLdnCi4bMrytdi6ekXmBxpnEntZEDONrdmV1tKSkSaVxujOsSH9HV/D5SNZQh781X3IYtmJO8jbHWEcT9ZZWKZB5geX6XL3GS4heWXzKmgGhybzERBC5qF0YRAOl5m3FxnCoFkoDZnPTK9x+g3DGpRq/OPfK5Ej4iMvLgTZMcGs16jM6CD8sbgGv9gYb3G2TGIoF788dQUHtqQwG+ClRgbioeWhlFZpgTOtX2KF2uKM3qwYPgK93FAi6YZv4AC4Xm7M3yy1eZlCPpSafhTeaTNbqnuvPp5p2fQ5RxuUPShr7EBiKBdLgjg4UibGqz9ImupHQQhZAN4pExtdyzYtDUHv4DBr+5QTG4yYAB/kiIIRzfWCKIiDwjutTFv14vrl+PK2FNLu3gnbxqQwLt79vh6vPZKMi89vwtVWFTMGfO3hZMQGmm9ONdX0EtaMkcnETOuKpWuKLZ/1FakKhfvzoOobQHffIB5ZEQ5/DzcU1rSafa/Wxgz0wWVTlyRys9nDGdGWr8Vk4aBxJrGXBRE0Bsx3pTVlaRAc4e8FT1cni8tJLC0f+WrfBrNdd9dFBcLd2Zl1V92MaOMfZ3I4jzUX4Kl9GyZz+oSQeSg3Npi1vcgR0bJBYhvTa9zRbel48fPvza5dp/bmsta5dVGBeK3oJpYE+YLj7sJ6zAqBH57/pBxf3GphNg+K8PeiweciYFq/ShsV+N0jq1nriZDrje7+IQj8vPHxtUZckSqZIPCGOAHrc9aL+Mh9u9DiUt2J+nimZdPnHP14ZxZCfD1x7HI9ypoUKMjPBABwuVyz1yCELC6rQv2NNnN9vegWfvPgKtb2KTOaj+J6GcqaFEgXBrLmKz6en4nMt06jtFGB3/4gifV1Ni8LxaWGDrg6OWLfR9+Z/V2fMtGQPdJL3GuMTCZmWldMrymmuB6uSInggevhavE1n10bi/a7fUaPuTs7Yt/aWLNjrY0Z2FJXckWWxh8UNF5IaJxJ7GXagsZDQ0N4+eWXIZVK4ejoiFdeeQUxMea5U371q1+Bw+HgH//xH6erKADGl4zodxQVK9TQDGqxYmwZCdsPamOsAKdrWtmXBdXLsJzPAd/bHakRPPh5uKJnQItAL3ezYHJyGBc+rs7MrrqPrYxAh2bA7HW9XJ3R0qWhBPSELBKXmztxYEsKuvoG0NU3CD8PV/h5uKGipRNhfiybSBFiwXqDAcBEORUvN3fis6dzcKu9C+3qPgT7eGApn4Pbsi4cz8+Cv4cLhkdgdh1LCPGHh4sT81plTQr0DmkR4e+F/R+X2rw5D5lfDOuXfhZ7V98gju/MQlFtu9HsqyePXcT/+0ESTt1uwYeVDQDGAytnfrIRp/ZtwNnadhRLZEiPCkK2iI9iiZypu/o+WmmjAufrZNgYG8w6A5mtbHrxAj/4ebrh3wuvM/9OFwaN9cPakdMFqq+ELEDWbi6mbzcMN8L77Zkb+HTPenxd3cq0aQ8sDcGeghKcqW3HM6kiNHX1wsvVePh8o60LTV0anH5uI/52rRGhvp5G19CkMC7uXxKCihYllvM5uCXrsnpfG0vtG6WXmDn672CFwA/JYVy4uzihd0hr9h2YTjQDYHTz08io/jn9uCZVIiGUC4GF69EFC3sBXKyXGe2XlMGyClp/7TNV0dLJOnu6UqpEKI0/FgwaZxJ7mbag8fnz56HVanH8+HGUlJTgjTfewB/+8AejY44fP447d+4gJSVluorB4Pt44NS+DThzpw0lEjmeWxuHDXECphHXDWLaUCyRI0MYhNxYAbhebjhfx55j+JxYhi9vSeHu4oTkMC6+rmnFzfYuvJC1DFwvd6NgMs/bHZsN7hD2DWnh7qwbfKdF8pASzsNTq6NR3qTAOXE7RkeBuEBfoyWdhJCFp7RRgfuXhCDAyw0BY7/34RGgtEGBLSsiZrl0ZD7RL4ssErejb3AYZU3syxRLGxUQBvjAy80ZMW66pbDtd/sQ4e+NKH8vuLs648MKCfI/LDaaVfN8kwIf7MhgBsXZIj4i/Lyw8e1CSLt7bd6ch8wvhstuYwN9saegBAkh/nB3dsKNti48sDQEHT39eL+iHuF+nugbGsazaXFwdHBgAsA32rpwplYXFMlfHY1MYSD6tCOo7VDjSosShfvzzJbfFtbogjf/dfYmAIMZ8/s2oLhehiKxDA8uC8GX+zbgQr0M58QyrIngIUMYBGcnB/xTzn1YFcZFujCICfzoXkdM9ZWQBcaWzcXYUgkkhnKR/cdvEMbxhIjngytSJRwcgGr5XRTuz4OkU42PrzYw7dPughJIu3sBAOfFMrz9eBo2xgnwfkU9dn1YwlxDk8N5+NGRc7jR1oWnkoWo7+wBAKObZACgGdDi5M0W9A4OWZ2eh0w/Vyfg5N5cFNW2o2QsTvCr+1fC1cn4OFs2uR8cGcFP/1ZmFuA9vjPL7P0nikUYBo0rmhXsgeCWTrMJaV/ebsWh0lqz2dPPpsXi4fvCzd7L2psxZG6hcSaxl2kLGguFQgwPD2NkZAQ9PT1wdjZ+q8rKSly7dg1PPPEE6uvrrXrNqqqqSZcnIDwaP3yvmGmcD5fpBgyf7cwAAPzwvWJ4uuhmIb9dcge/O3cLRT/ZiDURPNb8j2mRPKwQ+KO8SYHKFl3D/POsZXjz4m0cLhUzjbC7sxPae/qNZtC4OTthS3w4nlsXh8vNnahsUaJa1o0Hlobgm5pWHCkXIyksAA8uC4GquR5DQ9bnOa6oqJj0ZzTd5lLZkpOTZ/T9plJ3p8Nc+i6mar6eS0JCAvavi8XoKHChXo5LEjnWCYOQFR2E59bFQqvV4tq1a2bPW+x1dybNt7oVEB4NzYAWOaJgBPm4s167nhurc1eknbgk6cA6YSCyovlwcAD6NGr0aYAL9boBioPD+H8AcK5Ohl/fvxJ9y0Ph4uiIzLdOG732jbYunKmRIslbC41GY/beC6HuztU6Yc9yeXl5wc3NDQMDA2bfY2ZICM616mbJebk649m1cXhilRDV8m40Kntw+Il1qGjuRLFEBldnR/w8ezmut6qYAMvZ2jakcHRTrLpcOdhTUAIvV2ccfmIdth27YDaAPrEzC3sKLpnNQD51qwVHy+tQ1qTAodJaXHx+E07daoEDHHC4tBb7PvoO8QI/fLk3B54uTvj7rVYmYKx3r/pqaCHUXb3prsOz+RuZq79Pe5jsuc103QUmX1bTtsfFxQW+weEoaezExYYOZEYFIj0yAHfbm83GRl5eXqjocWYN2k30O1/p5YWU1Xy4ubni38/dhLS7F9LuXpQ1KfBUshBXpSom3ZN+teoHFfXQDGpxdFs68g4WAtDlcj99uxmtdweYm7ZlTQo4OOg2mtWXS6xQm7WbL2+IR2VLJy7Wy5ESHgBhgA/yPyjG/zy6Gp3NujHymoAArM+ORm9vL1ru3ELLpD5h682F39JM1l1Lba6Xlxc8+eF45C9nzWIIf38mF7Kmamg0GnC5XBSJ2YO7+uueUqnbIDEiIgKXJF2sq2suSToQ4DCIpqYmAIBAIMCaiECLsYjW1la0tbWBy+Xiy9vtOGQQg9AHgvelibDCU8u8f0BAANZFBeJQaa3RTHsAWCcMRENDAzo7xze6NY2h6G/GfLYzg6mfAJjf66VmJS7UdyArOhDrwrmsv1dr2dIGmJrNOjwX6u5kx5kL1Vxo02aTNec/Ub2dtqCxp6cnpFIpNm/eDJVKhYMHDzJ/k8vl+OMf/4i33noLX331nRLF0QAAIABJREFUldWvuWLFCri5TW727YkrEtaORF1XPxSafuZvhg1npbTL4lKP3FiB0QUEAHYkCfHA0hAcLhUzA+0wf080KnuYGTSNyh7sXiOCk4MDtr53nnn+1sQoPDp2F1pXENtnwVRUVMxK59Aac7lsM2EqddfeFtJ3Md/PxcnREQ8fNu+IntybC2dn5zlxbnOp7s6k+Vi3mlQaODs54P8VVSErOhgXn9+EJ49dZGZC7UgSwtHBEY+8wz748ff3B6Bbirk1UQix4i4qmjuxKyUGr2xeBXlPH663dSEmwAe/v3ibtQwXJQpsfzxtZk74Huxdd+dqnbBnuZjZRDfGZhPFRTJ9EJm6D5LOHpwb2929tFGBYzsymL5L4f48o8CvfjbvgS0pePHz73F0WzoUmn4IhVEAgPe+r2MGzRXNnax9tFuyLhzYshqVUqXRDOTT1VKIeD4oa1IgLZKHq60qJhWG4fO/rmnHyhA/1g2C0iJ5GBgGli5dapfPzp6mq92dVF358JZNh8/Wb2Su/j7tYb6d22TKytb2ODoAeQe/NWtTLI2N3vi4lPW1rb0u5YgGjIJzbs5OeOS+MDR3aXBgS4rRSoilQRy0dGmQGsFD75AWkf5eyHzrNNIieUYb4Yl4PrgmVTL/vne7qQvIHdq6FrI+LVKTk8c/m+/rxz6b5dM6y3O+1Td7mKjNfXfsWmXoRlsXzovbkZ8yfv3I6QJrcDc3VgChMApC4fis4DtlTayra76paUVgqgiBgYHMsRs9NKwpNnNjBQjx90JISIjR+5ve8Gd7f5WL0sLeFf6ICuUiKiqKedxSDKW8tRtbDeqJLTP9rWX+mtbFRxZTHZ6o7s6HceZMWEz1gY09zn/agsZHjx5FRkYGXnrpJbS1tWHXrl04efIk3Nzc8PXXX0OlUuHZZ59FR0cH+vv7ER0djUcffXS6imNx99kmlcYoUGzor9ca8e+bE8xyO2ZGB6GixXyA80GlBL/elGC0I+59wX5YEeyHJ967wHQOXv32BtKiApnnT5R/km1JCyFkYSiqZV/Kdk7cjvzV5jngCbFE2t1rdCNT37H+dv9G/O7cLSSGcvF4QgRO3baQp1/cjvwUXZ1LFwZZ7GQODY/g119fQ1pUINisox2Z562JBnwAsOnP38LL1ZkJiKRF8vDN2L4PE/VjauTd8HRxhlhxF9kxfJy4IsEDS0OZQK6I54OL9TLmNQ1nXUVxfbCnoMRsYFuQn4Vnjl9inm8YlDFU1tiB5i4NVoWOb36nz8lcLe9GWVMHPF2daKktIbPIUtvz0a5s9mBVkwJrInhmy+U3xgazbgRm7XUpLy7EKJA2oB3G8mA/qPoGWduhI9vS8R8PJiLY1xOb/vwtAF1Q+JXN4xvqiRVqoyCyte2mWKFGo7IH9Z09iPT3wv8+WUmpoGbJJYmc9fHiBjnTbwJsyz/99BoRtr5nvrrmI5b0FLfau/DJnvW4WC/DJUkHnl0bi8xoPm7LuhDhP56XNjc22CgGsSM5Gq89nIzYQB+z12xW9bCmsmgxuV4ClmMoRbXtRjGKsxbGNEXidqM0GrawJeUHMUfjTGIv0xY09vX1hYuLCwCAw+FAq9VieHgYALBz507s3LkTAPDJJ5+gvr5+WgPGgOUdRSP8veDp6mRxt9FAbw+MjAK9Q8Nwd3ZCiK8borjeeKu4mvV9eoeGjXIUjQIYGBox6hw4OMBogDPRgMe0QSaELBwlljqiEjldzIlNztxpY+0YXmrowG9/kITbsm54uDpbNfgprpezvlZJvRx8H3d8UCnB7jUiC7NU/Ox8ZmSmTDQ443q4Mv2Y9TF87EgSwsEBuNKi67tM1I+5KlVCxPNBZYsSN9u78FZxDXYkCbF5WSgOldaaLdfWD3bf/NEaVLWpWMtU2TK+dNY0KGMoMZSLY5fr8ZsHx4M4+qXmts5cIoRMD0ttT3G9HKkRPLPJPWF+XqxB5s+fzrH5umSaq/XUvg2obOnEl7ekeCwhEqpe3cblbOWralWB4+GK8qom5Ij4WMbnwN/DFaerpTiwJQUNyh6UNymwIXY8mCji+VjVbp6vk0Hg44GnPihGvMDPKBUGBc1mVrowCIfLzGcQZ5jcjLAl//TlZiVrnapoUSIuiGP0eAjH02g1sv5G/nvbM4yOGxkFa55k/Y1fQ6mRgdj052+Z1JzHLtejd0jLeqylGEpObLDRv63NvWwLawPWhB2NM4m9OE7XC+/evRs3b97E9u3bsWvXLrzwwgs4c+YMTpw4MV1vOSH93T9D+o6Epb/p7wzyfTywMU6APakiRDpo4O3mgjURPLP3SIvk4XqrktldvHB/HrYmRjGNqL5zIFaokWBwF8/034ZSInj4tqYVMnXflM6fEDL3WJr9khFFszWJbS41sHcMSxsV+PRGE27LutHW3ce6izZgPPg5X8feST9fJ0PPgBYAsLugBAe2pOCtR9dgb6oIh7auxTtPrENL18S5YcncNdHgTNE7iML9ebpg7oXbuH9JCP7tgUSsHZtxPlE/JjGUq/t7iD++b9IFe+s61VgvCsaOJCFKGxXIjA7Ci59/j599Uo7DZWL87JNyfHqjCSUS9g0dL9TJIOLpZk+VNiqQGOLP2o9bEsRBWZMCuwtKcGRbOj57OgeSTrXF4DghZOZZanvKmxTM71wvLZKHG63sN5Mu1stx+Il1zHXprUfX4MCWFIvXJf0M5+3vF+NQaS22v1+MX3xRiaxoPt5+PA0b4gQI9vVkTW8DAJcaOpAWyUMIxxMeLs4I8fXEmshArA7nIorrBRHPG3tTRSisacWffpyKD57KwH18P+Y6PFG7aTjO1K/YSDV4rKiWPUBH7C9bxGe9vmSxzCAGAKG/F55MEkJoMAvY1IV69jp/geU6VGXhpsXNduPHJrrxa0of4P559jJ4ujrh59nLLN44vVecRI8tNjLR49bIEbF/xqYBa8KOxpnEXqZtprGXlxfefPPNex433TOM9e5198/aO4P6TRTWCYPM7mbnr45mLgKGmyboZ8CIFWrkr47G4TKx0dIl06VMevECP0RxvZF3sJBmwRCyAOVYWsomos4QsU1mNJ81l15yGBctXb04XdOKPxRX49TeXPY8/QZ1bu3YBimm1kUFInpsAC/t7kXewUJmwxU/dxf894VbeP2R1dNwdmQmTDSbKC0y0GwjoB1JQvz2B0mIF/hN2I9ZEsRB75BWt/S1u5fJ4/jr01exeVkofr0pAd8bbBSld07cjufWxrGWKSuGDw9nJ3i4OCF5bOMofT/ubG07EkL8sSSIg90FJQB09bW0oQOuTo4ob2ZPSUYzlwiZHZbanvUiPk7dajF5LNhiELdEIsctWRfOiWX3nD0JGAfZDNPW/PMXFcgRBWO9KBjf1LQiIzqItXzZIj5e+vtlJp+6fsbzgS0pePTIOXyxNxff1LQiKSwAS/kcJoDToOy5Z7u5NioQhw3eU79iQz/rmoJmM+d2ezc+2bMexfVylDTIkR4VhIzoIFTLuhHp780c19HThzqFmkkPkRDKxdDIKBwdgEBv4/H7mggea51KjTQPsOo3JzZ1vk6GbUnjM3htnZXL9/HA1sQopHBGmb0G2IyMjJql6kwI8cfIyKjRcekssZF4gR/ShezpzKxhS8oPYo7GmcRepi1oPBfpG8eJGk5rBwyuTo74049TcbO9C5ebO7E6PAAPLA2Fq5MjbrR1GeWo0ncI9JsfxAv8sLugBEe3pTO5hNT9g/hkz3pcqJOhrFGBlSH+WBXKxfErEqRF8lDaqKClSIQsMC4ODvh0z3qUSDpQLJEjQxiEdGEgXPS7VxBipdxY9o5h3pIQnK1tw4vrlyPU1xPDo6P4dM96XDQY/GRGB0E7MsI8b+XYrE2zJb4h/uD7uBv9raxJgd4hLf7l/pVIjw6iG5vz2ESDM32uwrRIHlLCeXhqdTQqWzrx+4u3cTw/C1ekSpyulqIgPwuVLZ24UCdDYigXObHBaOvuxYEtKUy/xzA1xOGx1BBHtqWblae0UYG3fpzKWqaUCB4+u96EPakixPF8wPVyB6DbVHjTkhA8/0kZnv+k3Og5aVGBUGoG4OHihMMsN1goCEPI7LDU9uSIgpEjCsbD94Uzk3o2xgpQeKfV4g2ujbHBSAzloqi2HT/PXmZxEhBgHGSzlLbmxM4sSLv7WMuXFBaAHe8XG72mYR73ssYOpAuDUKdQ4/MbzeD7uEPA8USTqgef7FmPwppWfFPTiuP5WagwaDcTQvyh7B0wSsuhT7Wjf28Kms2cVWFcbPrzt0gJ5yE5jIuL9XIcOH/L7GaEqm8IP/1bGbNh3QcV9fif77T4aFe2WdA4O4bPurldZrT596oLMJtfs0xn8FqbRsKUUqk02iTPVOGdNuw5fomZJHDscj2eb1Lg6LZ1RikOvFycWYPLXi6TDzfZkvKDmKNxJrGXRRU0tid/D2e4OOmWncQF+sLFyRGuzo7IEPJR19ljlKNKP1Dq6htAeZMCB7akoKtvAA1KNZYF+SIrho9GZQ+eer8Yv9i4Ai/l3AftyAgu1MnQNzTM7KhaWNNKQWNCFpBKaSeWBfshJsAb4f6ecHV0xCiAK62dEPh5znbxyDzi5eKMI9vSUdrQgatSJR5YFoLEEC6+rpbiSotuxovQ3xuXmzvx+LsX8JvNidiaEKVb/vufn+HQ1rV4OlU3i7hRyb5BSpOqB6tCudSBX6D4Ph44tW8Dzta2MYOL3FgB+D4euNaqYmYIq/uHcLd/EElhAfhN4Q28VnQL25Oi8PKGeKPN6Y5drsf1VhX+7YEE3P/nbxHu52lx06eqVhVr7tKWLo3F+vZPG1awngfHwxWvP7LaKNBkWEcb5CqauUTIHHKvwJDppJ6JbnBxvdytngSkD7JNtCFdRUsnShs6cPCxNNySdaOssQPJ4QHYvCwUfyyuYX1d/azgJUEcdGoG0KDSMDNP/TxcIeR64y9lYjyVHI1bshr0DGrh4eyE1MhAhI/1/bYdu2h0bhviBLjeqrpnIJzYn2n9zFsiwG8eTDT7DipbOnFgS4pRbv6lQRxUtnQiLtDX6FhfN2ec3JuLotp2lEjkeG5tHHJig+HuZJ45NCuaz1rfs2KMUwxkWDjOUloya+nz4jo4jP8HmOfFLW3sANfLHXxvd6RG8ODn4Yp+7QjKmjoQxpKqwzSfuKUNaW2d2EfG0TiT2AsFjSepXws0qzRGS1AAICbAB08kRuKKVMkkzdcv4z20NQ13OtS4f4kHFJoBVDR3QjsyihE44HydDOtFfCSEcNE3pMWTbDuq7sqelXMlhEyPSK432u/2GbUjiQAiDJa7EWJNx7q8SQFxpxrHLtfjmVQR4gX++JHBximA7jry/o4MJvj30dUGJIRyUbg/D9/UtDLHrY2aeIMU6sDPD9YOyAyPf+jQGeZ7f7vkDo5drseJnVnYsyYGP/ukHC9viEe1vBsnrjQgKSwA5/7hfqz/4zf4sLKByYtd1qRggr8/WReH3iEtDmxJwejoKD662sD63iUNHVgv4hsFjeMFflgTwZtUfZvoOXfbm+nGByFzjC2/c3vNPtQHnyfakO5CnRz//kACvqqWQq7uw1OrhYgO8IG0qxerQv1Zn5MYysWVFiVcnByNNiYL5XjieH4mbrR1QdHTj/KmDmxbJcSjR84hOyYIbz2aCo6HK2TqPrz+SLLZub39eJpN58fG1usC0bEmlcOSIA72FJSY9bvYVtL0aUfMUj7FC/zw92dyzY71crVuBm9Fs4L1hn9lSydCOZMPEObFCcw2qn1l8yqoevuNjvu2th2HSmuZGclihRplTQo8mxaLHydEGR2rzyduupklWypOqrOTR+NMYi8UNJ6ku/2DrDuUntybi54BLdZFmef1GRwewe41MUYBYf1F4sTOLHDcXfHqmRtYEsSxuFu46Z1KQsj8ZTqgAMC0B4QA1nes/3q9CVsTo9A7pIX0bi8u1MlYryMuTo5GS3CBsZuSO8dvSpoOyH+WEYfcuBDqpM8jtgzI9Azze+qDt4X783DiagN83Fzw8oZ447oz1n/5aGcW0v/wNa5IVUY5N/UpTXiebvjhO+ewJpyH1Ege6y70q0L9kRzOQ7ifF661qpA7jYHcoaEhuvFByDxnj9+w/lpX1daFRlUPa9u03iRvMaBr207t24BIrrfFPO4ODroZmoZ/O7ot3ajPpx8Dnn5uI1S9AxgcHrbbubGZzHWBGJsolYOlDRqr2lRYZbLhYZGlTevE7chPiTE5Vob8D4vN0kN8sCMDTxrkNP7ydqtR0PbY5XomaPvwfeGTPue1UYF46PBZs3p+aq9xgFufp9nwxjHAnqd5ok37DOs91dmpoXEmsRcKGk9SiaSDtbE7V9uOty/dQaC3O955Yh2ut6nwXWMHEkO4yI4JRkVzp4WAsBLxAj8s53PQ1TfI+p5NStqVnpCFRD+gSIscvytf2qhAiaQDS4I4s108MgdY27FeFxXIpEIS+LrjzQu3zV4rLZJnNojV170GVQ/igsZvShoOWqurq6lzPs9YW28MmW6io1+yrdD0o7tvEJpBLetr3pJ145k1IjyVLITAxwOers5Ii+RhpcDfLKVJbKAva5AlNpCD1De+RGoED/vSYimYu8g4vXTM5ucM/y5/GkpCFhu+jwf4Ph6QqW3LW1wikWNrYhROP7cRX1VLUdagwCMrwpASEYj+IS1SIwLw0t8vM8+ZKAVGcb0MR8rr8PPsZdPa9k3mukCsZ2mDxkuSDqM0DrrH5KzHFjfIzYLG+o3wTIOx5+pkRkFjfboV0+Ommq+/2KTfCIz9Bho6sDVxPO1EujDQ4qaOpqzdtE9fZ03HSVRnrUPjTGIvFDSepPIm9t23SxrkuuT3lRJ8casFz6SKsDUxCv/3q6sobeyAh4Vk8BfqZBD4eqCyRYl1wkAU7s/D7oISSLt7mR19W7o02P9xKS3NIGQMl8u990Fz2J2OuyjcnwdV3wC6+wbxyIpw+Hu4GaUKIIubtR3r+BB/LB0L+tbI7yIzmm+2cYqI58Ncux6+Lwz/+eAq3JZ345vqVrR0aSBT97FeVzQaumE539yr3pgu98yLC8Gza0W40aZCaaOujuiXbMt6+vH2Y6n4t9PXzF4vlOOJVWFcOAB4v0KCDGEQfrFhBeoVavz3hVt4/ZHVAMZvQgBgAshna9uREOKPJUEc7C4oAaAbFP88e5n9PxBCCJmApZQX/33e/AYsMN6W8n08EOXvjeSwANxo68K/fFmJlHAeMqKD8E85K/Dl7VZIu3snTIFxubkTIp6P2XXd3qztT5DJsWUjunRhEOvM9gyW/MPWboQ3Ua7vidxrLGVtvRkaHmFNozE0PGL2XGs/qytSFes4ifZ5sg6NM4m9mGdbJ1bJGtvdNC2Sh6eShUgbW3qRHRMMsULNHPeXMjEcHRzQO6SFWKFGRjR7MvpVYVz88tQVHC4T4+nj3+HFz7/H0bEcSPodffccv4RDpbXY/n4xNv35W8jUfTaVWabuw4krEuz/uBQnrkhsfj4hc4VM3Ydva1pxTq7FtzWt87YuP5sWB3dnR8jU/ShrVECm7oe7syOeTYud7aKRGTRR25wjYu/sm3asm1U9OPh4Go6Wi3G9TcXszG1odBR4YGkoCvfn4bGVkXjzwm3I1P14YpUQvz59fVLXFTI3TVRvlJp+bPrzt9j+fjG+vC1FoLcHPr7WiP/5Toydq2NQ8rMH8LOMJXBzdkJSWAD+v8xl+OeTlVgZYj6wPLotHXsKSrD3o+9wqLQWuwpKsOWdIsQG+eKVvBUTbmrzXz9IwqUGOfIOFkLa3QuANqQjhMwefdv09uNpTEDYUt7ixxIimf+PDvBB/gfFyP+gGIdKxXj241I88d4FtKv7cDw/EwAgVqiZ/W9MJYZyIVaojV5zMu41zrO2P2HLa5Jx+qCtIUvXtA1xAtZjc2MFZsemC4NYj00XGs/g1d/4KMjPxLNpsSjIz5wwjYO1Yyl9+c1iHib1qb5TjX7tCLMRHt/bHf3aEUiUPWavae1n9WxaLOs4ad9aGidZg8aZxF5opvEkrYkMwMXnNzGJxXckR+O1h5MR7OOOL3neRstCfnvmBk7tzcX1NhWEAT6sdwFFPF+j59xo60Jrdy+OPLkOLV2aKS8nopxAZKHo6OlDnUKNOwo1rkmV6NOOwNPVGY4OQKD3/KrL2pFR1lxThvllycJmqW0u3L8RI6PAqrAAq2aOZEbz0akZwC82xkPccRclEjk+fzoHJQ1yXKiTITksAKvCAhDk7W60+Yr+9Y5uS0fewUJa8jePGc4efjF7OWu9yRAGofBOG/O4/qa06XHHd2ahXqFGSngAPqtqxgeVEuxeIzJ6zbRIHmo77rL2T4rEMmTyHAGwB1wAgOPhitcfWY2H7wunDekIIXOS6exN/WZ2DUoNnvvoOzy6MgKdvYOs7eC1VhViAnzw2dPr8cXNFuRamAm6QuCH1x9JRqNqfEVpXlwIuF5uVpdzonEeoFvmHxfEsWkmKo0dzU00K9eWDRpDOZ44tTcXZ8XtKJbIkSEMQq4omHXDOltm8FqbD9uWsdSaCPaYB9/H3ei41EjjTZTFCrXRJsqT+axonDQ19PkRe6Gg8ST1Dg6z/gjf256Btx5NNRoEpQuDsKegBBnCIJwTy4x2Nk2NDMSqMC62/KXI7D2KJXK89kgS/vHzCtYy2LKciPJYkYVC1TeEn/6tDF6uuk7JBxX1+J/vtPhoV/a8CxpflLBvVlYskRvllyULl6W2WdU3hK3vnoeydxBHt6Uz14yc2GDksKQnGhweQVffIAaHR9Dc3YtrUiU6eweRK9Id/69fXUObug9hHC/W96uRdyM1goei2nZsWhKCr6ulTOqC1PDoaf8cyNSYDu6/vC3F8fxMSJQ9uFAnY3ZRl6n7mKWmz6SKIOlUs9aHS5IOcNxd0NU/BGXvIJ5KFuL3F28b9V+2J0ejoFLCWp5iiQybImJY/2bImgEu7ZxOyMI3V3/npsGtF7KXYavBhub92mG4uzixPveqVAk3Z0f4ubuib2gY//xF5Xgb2qpEdgwfy/h+4Li74NEj53CjrQsP3xeGeIE/LtTJ8HVNq9WfhaW+RJG4HaduteDDygYm3aFYcRdXWpT3vFFHY8dx4/WzHTldsPidWBu0lan78NDhs0gJ5yE5jIsLdXL87twt1oB8faca3m6uWMr3xXI+ByMYRb92BJ3KHqwQWL4xOxH9WMosmMgyltJMEPMw5OgAo+B2/upoJIT4w9GBvQzWfFY0Tpoa+vx05ns6y7mAgsaTdFWqtHBXWYmVIf5GjWBBpQRnatsRxfVGagQPeQcLmZ1NSxs7MDg8zCzNNJQQ4o9D39UiOyaYNe+RLYntKY8VWSgqWzpxYEsKxIq7qGjuxK6UGIh4vqhs6URc4Py6AH5vITd6eZMCT6eKZrg0xBr2HtgWiWVmG1SkRfJQXD/e0TO8ZvC83Fnf70arCqF+Xth7TDeYDeV44olVQpyvk+GKVInVEQHIFQXj9XM3WctxVaqEiOeDbBEfz39SxuwUTzOL5j6BQGA2uJd29yLzrdP4eGcWQnw9mV3UX31wFR5cFoKtiVEYGR3Fx1cbWF+zrLED7i5OEHK9IfD1QH2nGqlLdEthv65uBcfdBaMjI0gKY++IZwiDMDw8fM+y3+v3RDPdCFn4Zut3bu313DC4dexynVFbK1aosSslBodhPk5LDOVC4OuBT67rVmsAwBe3WpAawcOBH65GWqSuTT1xRQJl7yAK9+ehtbsXb164jYRQLrYmRmF3QQm4nq5mn4Vh2XenxFgc550Ty+AAXdRO2t2LvIOFeCZVhH/KvQ8i3sR9Zho76pjXT/GU66f+mn2jrQvvlI8/zhaQXxsViNoONW7LuvF9swIp4Tws43MQLzDOaWwLfR/TtP9ZXC83G0tdsxDzuN6qwsqQ8aD12dp2bH+/mOmvHrtcj+ebFCjIz5x0faFx0tQs9s/P2ps95N4oaDxJ+h1STRtbth1Sr7UqUbg/D9XybiSF65YaG+5s+osNP2RdLqTf1dLd2XFSie0N2ZKcn5C5bDnfDzs/LGZ+D4fLxKx3vOeD7Jhg1s0t1lNOzzlpOga2L65fjm/vtDFL/l7ZvAp/r2oy22xVf83wcnXGxjjznHf92hFcMtjhmi3twI4kITYvC2Wtc4mhXFxqkGNdVBCzU7zh9W0xziyaa0wDHBnRfFQ0K9CpGTBKb2XodE0r+oaGmb9HBXgjOZyHhw6dgZerM3Yks88iTwzlIiWCh6dPXDLrexzYkoIXP/8eI3CAiOfL2j/JiuGjv4t9J3nD87nX74lmuhGy8M3G73yy1/Niidzo36WNCryyeRVrO5gQ4o9Ify/84tQVAOPX1NFRQMj1Zo4tEssspgpiSx1lWvYbbSrsXM2+smNNBA+Hx8Z/+pnG1fJuvHb2JnJjgycMotDYUUdfP03H/FOpn7YE5EdGYTTT1zBobcraGyH6DdKq5d1G/U+2DdJKLMQ8SiRyPLV6vA+hPyfDGIelc7IWjZOmZjF/ftNxs2cxo6DxJOXFBWNrYpRZY9vVO2B27O41Ijz53gV4uTrjjrwbR7alo6pNheJ6OTYtDcGVFiXeeXIdrkpVKGvsYJaR/v7ibTy4LBS/KbxhtDw5MZSLDXEC3JF341+/vsZcFFxcXCyWd7I7qhIy11SN3Zk3dKOtCzfbu4zueM8HyWM3kfSpNsQKNTSDWiSFB8x20QgLew9sZeo+bH33vFm7/M4T61DTcdeoo6fvrD+6MoL1taK4XvjiVjPSInnYtDQEYoV5rtkPKiX4l/tXsta5HFEwlgRxcKlBjh8sD8P/ylpmdH2LnWez+BcaSwGOA1tS8F9nbzLBX9NB3aalIagaG+xqBrXYGCtA4Z1W5nUsBTsyo4NwqaGDtb5LuzT49OkctHb34oXPLjPLra+1qpARHYTsGD4cAPQNmPeHDFnze6LR9PX5AAAgAElEQVSZboQsfJP5nU911c9kr+fZ0XwcNgnC7C4oQdFP78f3TQqcq5NhTQQP6cJAcNxdEezrgcL9G6HqG0JxvQzlTQpkxxgHXR9bGYFqefc9U0fpy2Va9okC1xnRQdj30XcAxm8m66//v79YjVfPVFkMotDYUeeKVMUaYC2saZ30dciWgPzZWsupR55cJWQes+VGyNNrYrH1PfP+50e7zHPdboxlj3moTGIett5ksOY3rB8nmZaTxknWWczjTJp0YF8UNJ6k1eE8bHmnyKwR+/zpHLNjb8u6cWBLCtPYft+kwCP3haO1uxdVbV2Qdveiqr0LL2YvR9/QMI5drkdLdy++fnYDfn/xNrOcyHC5x1WpEn1Dw/igUsJcFD7baXmmpS3J+fXman4xsrhdqG9nffx8nQzbkoSsf5ur/nqtAZ/sWY+L9TJcknTg2bWxyIzm4/iVBvxyY/xsF4+YsHcAy1KH5o7iLjLGdsvW5zTWXz86egYgU/eZtcWhHE+8kL0cZ2rb4e7saDZTWe9v1xpxat8GnLnThhKJHM+ujcP6GD7+7fR1vHu5DvvSYvGfD63Cjvcvml3f6O787LFUV2rk3Rgd1aWzMtyoJn91NN7fkYGrUhWk3b14bm0cNsQJwPVyM6rHuwtKcHRbOuoUd1HRokRmdBCSwgJwrVWJypZO1rIUS+QovNOG620qHNiSgryDhdieFIWXN8Rj34nv8HrRTdaBpylrfk80042QhW8ywaaprvqZ7PV8NUsQi+vpChcnR5y63YJVoQFYL+LjSosS39S0Yr0oGFkxfDz/tzKcqW0fK6/xjLeUCB4+vtbI+n761FGGnwVb2XcXlODzZ3JwpUWJ8iYFcsfGeY4OYIJG0m6N0Xh0R3I0lgZxUN6kwMP3hZu95mTGjgvR06ki1hv81lznLLElIH++jn3cc04sMwoa2xIkq2jpZD2WLdVfSoR1MQ9bzsna3/A7ZbU4sCUFdYq7uNzcidXhAYjh+eKdMjF++4Mk1s/FWoshzrGYx5k06cC+KGg8SRfq2ROLX6yXw8/DBV9XtzJ5pqK43thTUGK0nP5PJTX4ZM96XJUqEcrxxOEyMfw93XC9TYUbbV0o3J+H356pQlpUIPP6hss98ldH49jleqP3/q5ZiaggyzMtrU3OD1AeQTJ3rYngsS61WRMx+dxes+WxlVHM5ifAeKoN2tV2brJ3AEvfoTFb8iiWAXDAgS0piA7wxqHSWpwTt6O0UcHUEdO2eHB4BE+Mbc6TFsmzmHbg0ZUReOjQGbM6d2BLCt69XIccER935OazlOnu/Oyy1Pm92z+InSnRcHVyxL6Pvhv/3sp0g7WDj6WhXzuMP393BwfO38LZn9xvVI8Nb0qf3JuDn3/2PXZ+WDJhHUoM5eLY5XrcaOtCg7IHH+/Mgp+nGzb/zxlmf4biejkejh6fyWI6OMuLC2H9PaVF8rB7zfgya5rpRsjCZ+vv3B4zyPTtj+n1NzuGjy9vteDzqmakC4OwITYYoX5ezPPeKRcbbQiqT+Vz5k4bPqxswJ41saz9ugNbUpigsWl5OR6uWC9i379GnzrK8LNgazul3b0obehAZYsSW1aE4QcGQeDTz21Eg7IHrs5ORuNRQPc5H9mWbvFzsmXsuFBVNFsfYLUW38cDp/ZtwNnaNhRL5MgQBiE3VsA6xtaPe0zrqum4x5Yg2fk69mPPmwSigYljHpEGaVZsuclg7W84IYRrNHHuSHkdypoU+OCpqaUkXCxxjsU8zqRJB/ZFQeMxtt5tKpGw5+orkchxS9aF/zqr22xoZHQU6cJA1obxdHUruvoG8aP4CMQL/JgZP119A5B0qvFBpQS714gsLh0tbeyAg4NuWRIAnK/vwIPLw8HxcJ3qx0FT+smclRXDR7zAD2sidDsOV4zNqsiOCZrtotnscrOC9XdW0dK5qHa1nS/sHcDSb0jm4DAKRwcHjIyOYnTUAZrBIfi5u8DFyQnn69qh6OlnlgP+/uJtcNxdUNXWZXSNMmyzLS1V3ZEkxGULg5/ajm5sT4rCelEw/vXra6zlpbvzs8e086vPTdk/pMXw6KjFpc1ihRqPJURicHgE/h5uKGmQs9bjB5aG4E6HGvWdPQAmXu68JIjD3MAub1JA4OOBfy+8bvTe5U0K/ChOFzTu7hvE//57BbMRlH5wdmrfBub19edT23EXR8rr0KDsYfphNNONkIXN1t+5PWaQ5cYGG63O2JEcjdceToarkyNS3/wKwHiA5dTeXCZwHM/nmK3+LG3sgIeLE9IiefdMM2Ep12tubDB2JAnh4AAmKBgv8MOGOAEeXRkBRwfdhnlFYhleXL+ctW1eMdY+9w9pcaRMjHA/T8SH+IPv4wG+jwfe+76OtWxVbSqsCmXf1JTYFmC1lkzdh4cOnYGniy5twNsld/C7c7dYg5brY9jrarCv8XH6fsIzqSJmfPSXMjFrkGxdVCBrQG2d0HwsNVHMwzCnMWD9TQZLkyZMf8P69AoODmD+ixf4ISlsaukVFkucYzGPM2nSgX1NW9B4aGgIL7/8MqRSKRwdHfHKK68gJmZ89sgXX3yBd999F05OToiLi8Ovf/1rODo6TldxJjSZu02W7l6kC4Pwp5Ia5t8D2mF818C+TPhaqwqPJUTiSLkYBflZqGzpxEdXG/BMqgjf1LQBGF86qr+jnRMbjHVRQTgnboeHizPyV+sCCbsLSpAQ4o/nPynD64+snvKAiqb0k7mK4+aCk3tzUVTbjpKxu/O/un8l3J1mp/2Yigv1Fjqide3zLtXGYmDvAFZqZCB6B7W4MLZsbJ0wEFnRfHi6OkM7Mmo0IziU44nj+Zl4bGUkLtbL0KjqMUpTYdpm668dDcoeJld+dgwfv794m7UsV6UqvPVoKjgernR3fg4y7fwW5GfCAUC1XDNhOpJiiRxrwgPQPzwCgY8Hgry9jerxlRYl9qSKUNnciaPlYubmxO6CEqM6VN6kQEKIP5YEcbC7oIR5/XRhIN4uuWP2vtkxfDi7eYwFOdqRFhWI3WtE2F1QAml3LzNLS1+O2EBfoxlwpv2wxT7TjZCFYKIJOrb8zu1xjTLdXAzQBRT+8Ogao+NutHXhrLid2eQ8PdJ8Q3MRzwfZMcHoGxrGNamS9f30aSYMg8am5d28LBTn69rxTKoIR7alw9/DBYHeHpCp+5B3cHyc+uVtKY7nZ6JB1YMLdXJkRgchwt8L7s5OcHIYQbVcg2tSJfq0XHi6OkMzqIXAx4PZxN1UCcsm7mRcupA9wJrOEmC1lmHQ0rBOsAUtXZwdWevqyb25RsdtjAuG+Jc/ZPqU6cJA/GLDCvi6m4d74kP8Ld54MJUdw/57yxaxp52wZhKeftKEaZ5kzeCQ0XF/vdbIml7hxJUG/GIK6RUWS5xjMY8zDfu6Z2vbkBsroEkHUzBtQePz589Dq9Xi+PHjKCkpwRtvvIE//OEPAID+/n688cYbOHnyJDw8PPDiiy+iqKgIGzZsmK7iTGgyd5ss3b24b6wjoSdWqJG/mn2JZ1IYF//3q6soa1Lg9XO3sD0pCv8nbyUOFN1CYpjujq9pPuPksAA88pezZu/72Z71cHdxwvsV9Xa5S0ZBAzJX9WlHjH4D+pkgf38m9x7PnHuyotl3tTXdJIXMHfYMYA1oR/AjlmVjJ/fm4pJEbtTOH92WbjRoME1TYdpm668dH+/MQoivJ45drsd3DR14YFkoa51bJwxkVqnQ3fnpNZk8eoad34bOHvC83KxKR5IQ4o/DZWKUNelmrZ3YmcW83tbEKGTH8I1umgO67/rotnTkHSxE3sFCnH5uI7YmROB3526jtLED4X6ekHb3Il7gh6wYPn537pbRe8YL/HBfsB++utOO7e8Xs75uWiQPip4BphwnrkgWxawfQhYrey4Ht8c1ytLYr6qty2xGcLFEzgRV77Y3m9083hgrgJOjA2o77oLn7c76fsnhAThaXsdaXvPPZvz6zlZWaXcvMt86jY93ZkHg44Gvq6X4l/sTgNFR5rpg+D4F+VlovdtrcTZxxgTBz8WQ9/VesqL5Flf9TpYtQcvCmjbWunrmTht2rxExj/VrR1n7lKf2mcdXmlU9ZmlWlgRx0NKlMasnSWFc1vM3Pc6W33hyOM9oYoT+NU3L+lhCJHt6hSnkkwYWT5xjsY8z9X3MFM4ohMKoWS7N/DZtQWOhUIjh4WGMjIygp6cHzs7jb+Xq6orjx4/Dw0PXgGi1Wri5ud3zNauqquxeTi6XiyIxe4L5s7VtSOGMQqk0vmtcUVEBFxcXfLYzA5eaOnFB0oEsYSAyo4NQ1mR87ERLPEU8X6NOyYeVDVgXFYSq9i48nWqclqKsSaG7Q93IvszgpqwL0q5eZpf7pqYmdHSw31GeiJeXF9zc3LA2nP0O5JoQDioqKmx+XQCTft50SE5OntH3m466OxXT+V3o69DAwAA0Go1dX3v58uUosnSTR9yOx1aE4NatWxaePbcsXboUq8PZO2LJYQHQaDSorq42e95ir7szydbfiS11Pzo6GkViJWtdPiduB0Z1/34mVYQHl4ZA0qlmHzTUSJHkrUV65P/P3pvHN3Fe+8Nf75ZkW7KsxbJs2bJlMASzeAdv2GAoZCENCWEJO2no75LfbdP3fsqb29v79qa9aW9amoUkpJBAQhMC5JKShYY4bF7ACzYQNmPLlvdFluVFtuTd7x/yDBppRpa84UXfzyeflvHMM8+MzpznnPOc8z0BtLIUGeCL86X1+HniHKSEiqHr6WPILvGFRteF8yUNuN3UjlPbjNUvV8qbkCwXYpnMD02qMtT2UbNA7MFMkN2x6k6/oFD8NvMuWYJs2si2paZixOsXcjjIiJLiy1I1OO6ueCFaDqVGhwgRd0QqidsNbchVNYPv1Ivq6mpwOBwU6VytllLr+/oR7uuJFl0XwoXeaNDpjVlwG5fBy80ZN+pbaZvUlDW3I3O4Ysp03LLmduT/Yi0KqjXIr26GhwuQMUditx02Vtj7O84E2SUw0bbYZNl6Lr86bnnwM+vrf8Hm+RM0m4nHaN/rZMsuYDlXa7qGWMPssRfpfLBlMj9oayth8PNHblULsiubkRwiRGKwHzoaa9BnsnZZ8/3oMoKT5CI0NDSgvr4eAFBbeg8LORwkxAcAbB/8814NsiubkRIqRlKoGH+7Vmqhi9dEBMDLzRkLA3jkfJtUZWh1d7f6bpYHsC3mSpT0l2k6UN6iw2fFlfh12mMoYKCfUmp00HR1I1zoQ7tOpCvE5G/G4XDA5/NRUlICT74YT3+SYxEEtHW9GismU3aZdK6fnx+K2kAbYC2q0WCoQ4OWFvqmsUzgcDhIDhHQBi2T5QKUlJSQ34NEIkFBNb0/n1elwapANhoaGuDn54es5gHa3/9iWQOSBS6UeS4MCsXTn+SQ9BjHr1dA39ePf2xLony/MpkMRwtqaJ//aEE5XokLRE1NDeUbN6ecMP/GORwOijrpZT5L2YAlnD50dXWBw+GguMuddsziGg0GW+qt6g1rOjM+KHTc4xymmAqyu2jRIqt+Zn9/P27doqejm0kgfDPT72o2wha5tia3ExY0ZrPZqKurw5o1a9Da2opDhw6Rf3N2doZAYCRvP378OPR6PRITmUn4CSxYsMCm4LK9SGsD7S5MergEcnkI5PKH6ftFRUWUFxoi8sXmmIe7fBpDv8XH+ccLt3F2VxouKRtxrbIZS0OEWCTlY92HlyzuebNOi9ggP/BYbji5LQW5qmYUVBvJ7hOCBXgri760OKdCDUPfAD4tVpG7etEymV3vgdxNvt2EtfNc8O2LK5CrUluUYYeI7FeE5u9ttmGiZHc0mMjfwlSG0hRiLJ8TPO4ZCdcq1bTHcyvV2BobNq3k7KNLxQyGmBKvPxE1JZ5lKsnuZMLe72Q0sn9VZbkpABhLRf89IxJlrz6N7IomaA29KKyhpx/IVmmw+bkENHca8N76eNyqbyVlaVGAL/oHB/GXp2Lw5Y/V2Pz3bPxs6Rxamatu7cSBy3fxWXElAOCNS8bql4PPxKOhqsLYZNVKo9WpiPGW3fHQnaXNHUgIEVLKMXecyEVBfTs22DH2ksAhbOkfJMfx9nDFlzuXI6dCjdzKZsTJBAjhe1GoJAAj1/CueAWEQmOT3TdP59GOf7NeiwNPx0DO94KzEyil0aZZcIsD/Si8jEcLyqHv68fZXWnY8Em2xbg36lpR1dpF9n04nKfElig51jBkwNPZYWPFdLBHJkrvjurZRwjEmmNU79bOe4wWU/13Z8J0kFlT0M2VSdcQa9hoYO6DNbE8GTN2zddjJt+PLiM4XeEPCY8DiUSCkpISREREGO9HkyG8Ityf0X/aHKOgzJdYU62+m5gEpCl6cDhPSXK/EyX9/j4spIb543J5Eypb9Yw0RZrObuRVN+M/v7tFoTxcLOUjIUSIRp0BsrnzMTiEYTumEWkKfyxxcoFW30sZ63ZDm93r1XSANZ37x9N5OJxXRuGxzq/W4GcJ4XjmuQSEhITYfT9fnYE2mLdirtRCVlPDemhldblCjICAAAQEBAAAXi+4RnsvY6b8Uot5mpbu/yJ1HqOfP1/cYcHjnV+twbFNyyASiSASGTOuj31TjMy9GRaUE5kP6rH5iSjKmEwyn1XRjE0m+sDamBvNxjSFLTqTiW5uNHGORwlrsvshTePOuSIuPioowx+fiJ5W68po8NA3M+q0iYhLTAeMhw0xYUHjY8eOISkpCb/61a/Q0NCA7du34+uvvyaFenBwEG+88QZUKhXeeecdODk5TdRURsR4luIylXtcKW9CrqoZPf0DuFrZDH3fANll3BRp4f6ICxLgmWPGUozdcQr8fu1i3G9qx4unrjGWoKaEifFujpFLeTQlnUwlJRd/nuEoDXXAJkxWJ9qUMH/aLsLLp2GpzXyahiqEIebA9MFoZT9RLsKRfEtZjgrkw8PFGU8euTgi/QBRSnexzEgFYCpL+6o1+HRLEuaJeXB3dSYrX145W2iRXXJqeyo+K75CGfuz4ko8+VgQFtJX2zpgJ5p0Bmz4+AotFcTpm5U2r7VNOgOF/xcAsvetxk+PXgbbzRWrIwLA9XRDxqFMi2uXm9k1TCWaSSEiOANwc3ZGZmm9VeoIYwf4RuSomvDzxLlID/fH3YZW2rknhgjx/lUqB/KnxSr8ZtVCByWKAw7MYExGObg9dINMvt/j86RgubkgMoCHJLkI6Qp/sN2dySZ0ySEC+A73E6C734Xhfhv20FiN9G6IuR5YF4tXzhaSdkF3/wAulDbi2KZEDA0NITWMvhQ9gMtCdKAfjuQpLWxOADh+vQJ/fiqaQoFFBNwJSiFTzDTe15FANI0z5bEG6JvG2Qp7emSkh9PLapqC+u0QNqU5kuT06yhRur88gE0GfulA8B+bPj9RoWaKXXEKbPjE0saho5JICaWX+RSzNX9XvILWbhorPQUwvnRzUxWPiXnIOJSJ3XEKRAXxUVyjxb4zBbPCz7RG+zMbA8djxYQFjX18fODm5gYA4HK56O/vx8DAAPn33/72t3B3d8d77733yBrgERjP5kbxwUKs/uAHC4f8wLpY3Gtqg0LgjbuNbdi4RE67AKyaE4DM0npo9b3I3JsBVYsOv/3uFpJDRXjjyWgMDZ9nfl1UoB8W+PMQLjQGHuxd0JkMrR9mmWHgwOgxWZ1o42V+yN63Gnca21BU04LtsWF448loiL2nX2SLMMTMuwKbG2IOTG2MVvZXzQ2gdMTeFafAOz+Ng6F/AOcf1IPtZlyi86o0eOuncdi/YgEuKxuRV/XQaCeCagQ/Xn61Bk5OQLjQG05OwCVlI55aEEQ6nebNVf9vSgTSFP746xX6KpZLZY2IjXEE7sYDTHLyQN2OzdFym7kjTcdJCBZgdUQAGnQGCp1V5t4MelshiNpxnClwIuVxsPTt77B/xQK0dPXQPk9lSycAY5PGrTGhlP4Nrs5OFuNuiZIjOUyMQ9csG+cdzVeOa5NJBxxwYGphMrjy7eGJteb7bY0JIzmMm3QGpL33AzjuRr/uvWtleOPKfVz5l9W090sIFqCrp9+ueY/0bpydgK92p+OSspH0D4nMy+ggP4TwOfD38kDfoFHPflqsoozDdndFTKAfeQ8i+EdQGDk5ATfrW61SFVlr4DfTYU/TOHtga9DS1jjFijkSevoRht+rSWfA7fpW1LR1Iai1H5EBvrRrrq38x9cZ6FGKalowR+hDOR41TJsQJxMgOpCPolotCqo1WBJI5UkuGh7Tgp6i1nJMezEb+LpXhEsoPnOMzA874sIQ7Ov1qKc24ZisuMRswYQFjXfs2IFXX30VmzdvRl9fH375y1/iwoUL0Ov1WLBgAb744gvExMRg+/btAIBt27YhIyNjoqYzIsZrt8lcsf8idR5igvxQ167H9tgwMsjFcnPBt3tW4KKyAfXteiTKRZgr9IGbqxMuKRvx6QtJePlMgSWP1K40nN2VhqyKJuSo1EgMESE5VISe/gHEBwtQUK3BluhQrJwjsTpPc0U5R8SFlMu2yH6ebbvJDowek9WJtrd/kLYh2ImtyeN2j8lCa2c3vt6TjkvDmSkvLZ2DtHB/KNUdj3pqDtiB0cq+kxNoZfnLXWn46m4NFAJv1LbrcWxTIm7UadHS1YOXls7BwfXxqG3rQpxMQBq4aQoxzt2vo5SubokOxcpwCYqGqS2IktnTNyuxflEwNkfJyeZ3S6T0GxVp4f7o6eke7auZ9SDWWn3vAPIZeAlv1mmxbkEQbbb6qe2pOHD5HsWhuaRssihTlvqwkbk3AztO5KKuXU9uDnT19qO50wAeyx08lgeO5hupbwhQu0s3YlGAL+aKuNhxIhcJwQJ4uDrjqccCKRlBxL1r27qw93QeUsPEiJP5obCmBT4eblgk5UPKZeMf25JQUN+OG7Va7IxXoKimBX+8cJtCy0HYHEsC+bMi68eBRwtaHmQrGPjL1gmayezDeCboMMFaxq62qxuZpQ2UAJGzExDiy8HGJSFgubnQjplf1YwD62Ip62qEiIvbDa2U+xF6saatCwsDfPFJYTmuVjbbFIwyfzfLFWLEBgnw1yv3sStegc+LVUgKNVZ/HNuUSGYbAw/thpPbUvDXK/exZp4Uv1m1EEfzlVgg4WG+Pw+1bV1YJPHF0U2JuFGrRX51MxYH8Eldn6YQ41YdPW+8OcezMcNVPCsCbgRUGh1t0FTVoqNtBjcR78WW9VHKZVMqf5LkYqSH+0PKZVuc29xpQLlGh1KNDrfqtDD0D4Lt7gpnJ0DoRZ0vU0Ic0aiRQFYFPU/4lfJGbIqiUkxdVanxzZ50/FjfikadAU8vCMJvVy3E9w/qESHikufdqm9lpqdYMnraqsmqjn3UMPT10/oZX4xDpvZUx2TFJWYLJixozOFw8NZbbzH+na7B00yBuWKvb9dTAsDEB3t04zKEC3zQ2z+I49crEBXoh5/MC8BTjwWhSttFuzuSV9mMb+/XguXqiqggPnIq1Dhw5R7eWx+Pn53OI8uV8iqb8foTUZBy2RYLWFKoGDtP5OJCmVG5E4qSrgRptu0mOzB6TFYnWqZsiFv1rZgnHtuu/2RjrpiLx4cpCACTTsd70h/xzBwwhzVHYLSyf7GMfhf8qkqNl5MisOHjLMYNRHPDNilUjM+3JlOMQ8Do4B3dlIhrlc1wcXZGxhx/WmPJWqZTben0aC451WDqlFijGHl2UTCyK5oYG3wG+LDwdnYJXr9wB+dfWok0hRgbFofQBg7O7FyOd7Lvo73b2PSpzdCDgmoNYoME4LE8sEwuJOdmKs8ZcyQYHALezrpPblQQTlqYnzey963GxuPZqBv+m+m9CZkk5IzHcoezkxNaaiqwIToaqWFiinMGgGJzOGgoHHBgdmCiN4aY1rFEuQjp72dSdNaKcH988FwCrtdqcatOi0VSPvoHhyyCZkG+XhZ0QIS+M70foRcPrIulnG9rMErszcLKcH8E8di4omxCe3cf9sSHwcPNBcF8Dk7eqMS6BUFo7DDQrhUXyxrxY30r7f2IwGapuh3qTgNeTpqHt7PuY9+ZAgDGpqzW6A9Zri5gubmQvRL6Boaw9vCFGR9wIxAXLMATRy5aBE2/MbPVJzIQaWswmq7yhw6thj5ae/HU9lSLoDFdQhzdhk9KKD09SioNfeCaCClU2k5UtnaR3x+P5Y41EVLKeaOlp+Dz+Vb/PluyUAsZsr+v17ZAMcZM7amOyYpLzBZMWNDYgYe4Uk7vDHLcXbHz86yHfxt2+n74eQZ+c+4G7ViXy5vwn6sW4fvSBtyo1WJxIB8bo+SoaNEh/xdrUdXaiXZDL7gsd3T29DEuYAfWxZJBY2I+Sk0HpQTJ4cg5YA8mo/QQMH5PtMeVTWPadX4UuMAQNLyobCRLIx149BjJERit7DPJclZ5E9LDJVgdIUFVK/0G4iVlI0XeKzQdqGrVM242/v16Bf42zF3sy7akcrGWBVZr/fU4wABTp4Tgk6bt1i0T4NffFNOOUVSrRVyQH5ndVlCtwU8ipPj8RiVlHCmXjQPrYnG3sRWeri7Y/3gkNh3PMpFZo31x7sUVjPJ8ansqSW1BF5A+/9JKfHWnGjVtnSPK2cltKfDz87N4D6bnV2o7cf6llYiU8GZkoMGB2Ql7s5kBR0bzeIFpHcuvarbQQftXROKnRy+PGDS7zZCocKehDUukfJx/aSXuNLShUqsDx90VJer2UQWjzPUyAChffZrsbQAA3f0D8HSlz4g2zQhmul9SqBhthj4czClBdJAfNkbJseNELvKqNHjjyWja9Uniw8Zvzt0gg6V/dwJeWjpnVgTcCORVNlMyjbfGhGKuiIv8qmYE8jjkeRMViJyIYHQOw0Z1ToWalvbBlg2fmCA/WhmKNqPFAoCOHvqg9cltKTCtlS5iCHoy0VM8DK43Iq0NjMH12ZKFOpN8ZnuRFCpm3ER0wH44gsaTgCvlluUaCcEC5KjUjEl+UEIAACAASURBVNw/CcFC2t26lDARfvf9LbLDPWD8AD7ZnAQAaNJ1kzt24YIBxkw2Oo6qG7XGbukfF5Q7+AQdsBuTUXoIPGxIYXF8OINuOiFXpaY9bux07AgaTxWM5AiMVvZTwuh3wRdL+bheo8Gv0xfgF/8oZJgT1eBTajqRV8VMf6AQeOPTYhWjQwDMjqYgkwlzp4SgjKjUdqKwWkPKCZflzpgRsSjAF0fylST/5NFNieCy3HHDrJTYNPs3IViAK+X0Mptd0QQ/tgejE/bbVZGMQY+ciiaEC31wvqSe9nlN5SxX1Yynw/m074FAYbUGu+IVtH9zwAEHHBgN6Naxc/epOishWGBFz1HXyKuV9OvqVZUaW2NCIfZmQezNwt7TeVAIvBlpHsyDUaaZo88ulKG5q4cyn93xCmSZBfasZQRHBfLxcWGF1fs9bpIdDBj9x7O701DW3IFwobcJVVED0sMlCBf6YN2Hl1DXrif9xRei5Yy260wLuBHILG3AkXylRdPqPQkKrF8UQp5HrHW74xUkT++H+coxvxd7gtG2ZiQXmPj/5sfp1mVbxv2oQElL42FOiwUAORX0MZBcVTPmmtBT2BP0tKfxGbMvObMCijPJZ7YXRTUaWnksrm2hpWxxwDoebQe6WYLkUMtsM4XAm1Fhf3m7Bilhxt0RU0RKeIgO9KMEjAGjkr3b2IY3Lt3By2cKcCRfiZfPFODkzSpGZUs4d6ZIC/dHQrAQ7z+XQAZCHHDAHhDG+kTKENGQgnJsmjaPY9rtTJphRst0h7WMBAKjkf2lIUJaWZ4r4uLbe3Vo1fcgTiagvdb8eBCPjUVS+nK8xVI+lBodAGZHwYHxR5qCuvbXteuRcSgTMl+OhZwQ2eqmIGSBcNaJ7DYAlCx28wCIQuCNm3WttHO6rGxCdZue9m9XlE34t7QF+LGePuhBNLmxVc6I5sfm74GAo0TQAQccmAyY6yBrwV3zNdJW/ZWmEEOp0THqR9PzieDW5r/n4HBeGY4XVeCykppgFB3Ix1UVNWCdV6VBhIhLu1ZkzA2w2qyOKfBY1tyBDYtDIPRikXbMr2OMNFal6naLXjdKjY7Rdp2pOp143vxqDT4tVpHv2dxWfyYyCGWvPo0dsWGIEHOxIzYMZa8+jWcWysZ0f1tsUMBSrjb/PQerP/gBTTqDxbV0lBEAsJxG3m0dd4nUFxmHMnH8egUMfQM4fr0CGYcyLZrbAUBhDXPQmjpP+u8vlWae1oLr5mD2JacXzeFImEk+s704d7+eVh7P3at71FOblnAEjScBRLmGKYaGgBSaYDJgzCzS9fTjvfXxOPhMHPbEK3DwmTgc35yEowXltNdcKW+CE5woxy4rG7EshH4nKTrIj3TuAAcVxWyCTDY24+VR44G6HQfWxVK+DWIncbohlWFziEk3ODB54HAelhxOVNDrn/dqcGJrioUs7ziRi+UKMUqbO7AsREQrI+ZZApEBvljMYByaBh7pHAIHJgZMgWDzY8DDSo0TW5Pxs4RwHN6wlJQFU1wdzvCKkwnIccwDIB6uLlgaQr/ZsEwuRLzMslQUMMoz290VaQp6uY4O8sP5knrGoIW5nLW0tFh9Dw6bwwEHHJgMmOsgpUaHqEB6PWi+Rtqqv5Yr/NHV28+oH03PNw9u0QWbWw29tElHO07k4sTWFBx6Np5iN+RUqBE/vJkcKeEhSS7CyRsq7D2dhzsNrTYHHgFAq9UyPntXbz/WzJNi/4oFSAh+uM7MZJ2+IpxeBtLN1spFAXw4ASjTdOCzIhXKNB1wArBwjAE6W21Qe4Km6QzPRLf+E+MmBAvwQrQcCcEC2nEJeTENrjPJRQpT0Nrs3GiaGEqkhEf7/RIybjpPgF7Ga1o7aX3J2rYu2nlNV8wkn9leEN+Nk9PD/4CZu7k10XDQU0wCjhaU06bHCzgetFwrc0VcPHnkIi7/yyp09PTBw8UZPJY7egYGEernRXuPOJkAR8zKD/KqNDi4Pp72Ho/PDwSP5T5mGoHZ1D13uqOuXY9bdVo06gzwb+4hO9xPNyyW8rHxkyyLhhSfb0t51FOzG/eb2nFm53LkVKiRW6lGYogISaEilKjbEcyn/9YdGBmj1Uvarh5kltbjkrIJySEC+OoMY+IsHgmebq5o6DDgaqUaTnAiSx6JjYM3s+7jxYRwvLc+HrfqW8n1Y1GAL9xdqHu+Ym8WnJ2AU9tTkVOhRmG1BksC+VAIfMjAI5ND4MD4gE7uMveuxCWlbbQlRJbXQgkPla1dFo1pASApVIQ/XbiDYD4HZ3Yux6WyRmi6eiDxYeFIvpHSqqd/AAsD+LQyu0Dii46ePkpjO+JvhDwzyTthN2Q+qMep7akorm3BFWUTo5wRDRQni7rIAQcccIAOdDooUS7C+1cfWOg58zXS/NpkuQAr5kot9BdxXkG1Bkc3JeLOcFNbOn1nHsA15bzX6nvJRqSPDW8yms6Rz3ZHQ4cBRwvKKVQJLyaEY09COLbHhiIuWIhPrpfjvdxSHNuUiAfNHYgN8rO5KRSxaW7+7M8slGG+mIvvSurQ0tWDl5bOwcH18aht60KcTDBjdbqUx8G3e9JxUdmIHJUaSXIR0hX+kJrwGQNAz8AghSeb6Afw1e6xNbe2lZvVHp5esTcL3764AncaWlHfbkAAl4UFEl/a3/BGXSsy92aQzXG3RIfitTVLkPmgnjKuPWt9cqiI/plCqc/0Ub7tlBdr5wVgw+IQi3l29fZZ3D8+WIjVH/xg4Uuef2kl7TucrmDymU9OQ5/ZXqSH+yN732o06AxoN/TiqQVBkHizEC70HvliByzgCBpPAohyDXMupI83LcOhZxNwo05LKsLlCn/s/6YYQTw2btRpUa3txJOPBaG+Q4/b9a1IZ3DmloYI8eKpaxb3vl3fikPPJuDHhlYU12qxKMAXK+ZIIOWy7eauNHeIk0LF2Hkil2yoN9O7505nNHQYUEXTpdbZyQkSn+n1W7k7O1OCaFtjQo1BNOfpVzixJJCP1R/8gOcXh2DDohAUVGvwzNHLM85omUzY2zDEVK8tkfIRLvTBuft1FtdNRNArSS7GvjP52L8iEg/U7WC5uWBHXBh+EiHFHy/cxtORwVB3dsMJgNjLE/EyAXgsdwAAy81y+RZ6sSD0YmGO0Ae74hXQdnXjh7JGPD5P6gjUTTCsyR3TWsu0uWHoH8RcoQ+jk/if393EtapmyHgcSLlsiLw9MU/MJc9XanT4sb6V1tG6Xd+KQ1dLoe/rxw8/z8BfL9+zkA1r8m76LHOEPti4RM4oZ6YNFB182bMHo2kE54ADEw06HWSq555dFIyYID9wh9dYpmtLSkqsbvw9+VgQACCUz0G4wAtXytUYGhqibF7TcdjvOJGL8y+thIsTsOETYxNTKZeNY5sSodR0oLhWiyS5CLEyP2Qc+oHCMwwYqRICeWx8VqQC290VFZpO/GPXcuz6/CpuN7Qhc2+GTZvfTToDinSuePN0HrkuEc9e166n8CIT69y5F1fMeNtCyuNga0wYngoXgMvl0p5ziSnTV9mIrbGj71NiKzcrU28Euo2B5k6jX2joG8AQhmDoG0CVthPuLk6URpAAsCtegQ0fX6FtGmkOW9d6dxdnfLlzOa5VNSO7XI3kMBGWBgstEiIWBRhjKKY80fvOFODTF5IsxowOEtDydn/74graeX774gpcLGtAjkqNnyfOQXq4ZMbJMZPP7DYNfWZ7MTBo/F/Tfl8SbxZ53AH74AgaTwJMyzWIBT5SwkMAl4PEd76jBJNv1mkR4svBf65eiBu1WjTqutE3OIS6dgPyqzVwdzUq2auVzciuUCMxRAgpjwOtvofWGAjkPbzHf61ZjJyKJnDcbf/ZCad2joiLnSdyLQyFA+tiyaAxMLO7505ndHT3MnepnWZB4yEMAbAMohHHpxNcnYEvdy5HVkUTTt2sxDK5EF/uXA7Xmb+WTxjsbRhi3q08UsLDsU2JyDiUadHsbryDXt4ervj/Vi/CrfpWtBt68dziEIi8PFDT1oV3c0uxROqH7Ao1frMqEm2GXqAbYLm7wN+HhV+dLcRfn46lGLh0QUhHoG5ywCR33z+oR327ASF8DiVoYC3I3NCux52GHkYncZ6IS3Zs/9npPNS165G1bzXFMYiXCbDxuGV2yYF1saQdcrNOi/efS6B9HnN5b9IZcPKGijZ7n8/xdMiZAw44MO1A6LnUMDEuKxvx62+Kx6Vqksm2IDah6ao5+Gx3dPX244EJPz3Bgx8vE+B/nowCy80Fbi7O4LPdKVzDkRIeYoL88GbWPaQqxEgNE8OP7YEbtVpyLKIR6wN1O27VtyKdZiN5pE33C6UNtOvchbJGbI2hb9BnOvZMqExVKpWIjo6m/dtVpubWleoxBY3P3a/H4bwyi+SznyWEk5sUAHOVEF1VnK6nHwCg7uxGUU0LooP8IPLyhK6nH0KzQsei4X4GpiCa5zI1Vh4JYm8W6tq64MtyR6zMD74sd7i7OFvIRJzMD9n7VuNmvTH5bbGUj+x9qyH29rQYM8escSQxz1yVmtb+f/zwBdJGej+3FH+5fG/GJb7NJJ/ZXrRbiX34T7PYx1SAI2g8Bti6ABJZO3ca2lDd2gWZLwdBvhysfN9YemoaTN4RF4ZlIUKcuFGJy8pGvLZmCTYdz7JYwD/ZnIjOnj7Uteux4/Or5G404WDGBwuxOMAXTx+9TN7ji1tVeDk5wuaukYTxwHF3xZboUFpF/EDdjniZAPnVGiQEGxezypbOsbxWByYAuSrbutROB/ztWhlWR0jBZ7vDj+OBoaEhdPcP4m95ZfjTE/SG3FRFq74Pz5rs3hOlbF/sSIUfx7GgjQb2lOddLKMG+ggd1mboIfXaRHYDr2ztBJ/jgUAeGx4uzugw9MLZyYks8y+o1uAPaxdjjYlhq9ToyOCfaSDc3gxrB8YXTHKXU6GGoW8Ar567Qfk9VC2dFhu4xCYF280FuapmHM67SuskLpb64v2rD9DV209ucLxx6S7+e+0SLA7whaerCxo69DizczmyK9S4WqnG1phQzBVxKRzJdLJtStFC2DUAHLLlgAMOzEjYsnaa+num1FVMMN1EJOwKpUZH2YQ2zXJOChVB4sNGTkUTSmi4RvOrNfh7kQoxQX74r+9/xLFNiajUdqKwWoOkUBHkfC+s+sCYfXw4z2hHfvZCMs7eqSHHMA1Av5gQTmvX3K5vtbrpnssUFFU1WQ0azxb7JFEuwpF8JeU3z6vSjLm5NZFBbBovACwziO2piusfHKIE1Aj/gy57mI4TGTA2z924RD6qZ6pr1+PxIxfBcX9o23b19uPbF1dQYhRdvQO0gb9PNltmGttj/5vyNBN8tzMx8Y3wmU0xXX1me0HEPsy/x+kY+5gKGDGf7bXXXrM49utf/3pCJjOdYE+HUgKarm7kV2ug6eoGx90VESLq7tyKcH88MT8QxbVaaDq7sT02DBIfFrT6Xsp5RLCvqEYLn+EdI8IYIDpE8jzdsO9MAWUnOjqQjxdPXrO5ayShUK11Gb5Zp0VskB8y92ZgS3QoPF2NWXDW3oMDkw/zbrQjHZ/KiA0yNj8o1ejwWbEKpcMNHeOC6JuaTGXkV2toDfTp+LtMFVhrGKLt6qY0hrlSbqySkHLZFB3Wqu/FwWfiIOWySaOcyLTcezoPJ2+obNZx1q7LKm9CSVM7evsHcbm8CX++fA8ZhzJJvZ0UKkJVayduN7RRGosQG3amG3TmAXDAKEuXlJYNQBwYfzDJ3WIpn2w6q9X3or27DydvqHC0QIkt0aHI3JtBcZAulTVivphLNrIz79a+TC4Ey9UFW6JDcWBdLLRd3ch9+SdYNTcAb2Xdx4PmDqydL8X9pnaE//c/kKtS47lFIWTXaFObgE62T9+qgtCLhXP367D57zn4t6+KGGWLyZF0wAEHHJguGKl5mLm/t+3zayP6e5eUTRZ2xZboUISbZWXyWe6IlQkg5HjCc7jELDaIvolpYoiQDD5mHMpEpISHf0maC09XFyQfPE/R7bcb2lCibkeMzHKs/GoNOB7GDcvmTgNKmzvwUX4Z9p7OQ3Vbl8WaBDxsJGbOoUsgSW69v4M9DdqmMzLmBiB732rKb569bzVWzgkY07j2NJMlsufffy6B3KCgQyGD/3G9xtL/WBYitDgGwKIhsz24plLjwLpYyrs6sC4WeZXNlPNu1mlp53mr3jIuYU/TaoKn2fT+mXszcKOWPt4xXfGYPw8ZhzLx58v3KH7GAn/LhswzDaXNHbS/cWlzx6Oe2rQEY6bxv//7v6OmpgZ37txBWdlDfpz+/n7odLpJmdxUxlhKoIkd1m9fXIFclZrSlGGtCRcPsetHZBKZ4madFt39A2SXXuKa/GoN9H392LtsDmU30tix3RfhQm88uyjYpmckduyUGh22RNPvIEcH+WGhxBd7v8izmPdM20GezkgOFeNwntLieErY2Ha/HwUSQoR44shFC3n7Zs/YGk08CmRX0BvMWeVqbI6yXurnAD2YyvMS5SKkv59JHg/gshAbJMDhPCWObUrEK2cLLWTq863JCBN4jzpLZqTrZL5ekPly0N03gB8bWi3mPN+fhxu1LbRj36zTYme8gvw3EQA3x+UxZII4YDuY5G6uiEuuxcc2JdLyApqu8Wnh/hB4eVptZPfXy/fwabEKkRIezu5Kw7qPLlnILtHk5MN8JTYukUPf10+ZL+FwjkTR4uTELFsTmYU/keDz+Y96Cg444MAUwUjZifb4ewTSFGJsWBxCsSuAhxQVAGj17le706Hv66fV/VIeBxuPZ5H2SrAvB9/eq0VeFX2SwfmSevx7RiSjPdSkM6Bco6NkcRI2irnfSQTdVsyR0I6XThOUo7xLOzJApzqsrR/OTqDNih1rnxJz/t0kuWjM/Lv2+B+pYfSN+FJCR98MOkzoQ6G9JMY8uimRct5VsyAyeVzVjK0xVMoPe+g57OFpns4gfjtzitSx/HbTBbviFCQ/PIFICQ+nZkETwIkAY9D45z//Oerq6vCHP/wB+/btI4+7uLggLGz0vDwzBdYWwNVzA/BdSR0uKZvw7EIZmrt6rHLsEAvmyRuqESkgCCyW8nH8egXJUdVm6EG7oQ98tjsCuGx4urngk82JyCpvQlQg37j7WaGGp6sL1J3daBqhtAp4WA5j2tXX/MP7aaQM/7xfZ7dB5cDkIk4moP39mDIapjIumZQUmZabXC5vwgsMmxtTFXEyAW0wP44mO8QB28BUnpdf1UyR//Ml9Tjy/DJsiZKjxIRDkMDthjZUt3VhmVzEqJtH0nFEhqZpA48P85XkdalhYvzpwh3sS47Aia0puFbZjIJqDZJDRZD5cqBq0YHP9qAdOzrID3MEDzsAPwpZmikcheMBc7lbJhdCyuWQdBAJwQJGOSPWeH1fP1LDxGjV96DD0IMjzy9Du6EX12s08PF0JxvZEZnLtxvakFXRBLabJc3F9ZoWbI4KwWfFlaSdoNR04EatllKyOpLdodTosDteQStbdNk7UxkP5bURaW2Y1fLqgAMzFfauSyM1DxtNwDNjTgBO36pitBv4LHfav+VVNSNNIcZHzy/DnUajn0jw2e84kYu6dj3q2rtw7sV0XK9pQbjAB0G+XrjTaBzL1CaOCfLDnYY2Rm58fy9P3GSgozD1O02DblIuezh42YgcVROS5GKkh/uPSHloT4O2qQpb1o/RbDDYem9b+XdtlX97bMbCavpGfNdrNAjme1mcbwuYqFDuNLRiifRhYN4e2TG1wy6WNSA9XMJIz0HwNJv7kmPhaZ6KuNPQijM7l6OkqR2NOgP8vVmIEHNxt7F11L/ddMH1Gvos9aJaLeY46CnsBmPQODAwEIGBgfjqq6+g1+vR3t6OoSEjabZerwePN/PT2q2BSYmlKsTYdyYfnxVXAgAMff3wdHWhHcPc4GAyTG7WaaEQeFN2iBYF+GJftYZcqFv1vSisaUFyqAheHm44VqBEUqgIf3wiCvq+fjx+2DIzc6QsOdMdOyanU+jlybgLOB13kGcqevoH8N76eNxtNAYTYoL88Jg/Dz39A496anbjToOxC3SJuh236rTYEh2K19YswfkHttGuTCUkyel375NCp18G+FQCXdO6c/frKefkVWmg1ffgP1YtxF8u36Udh+BrG43T2G7ohapFh7JXn0Z2RROuqpqRKBdi/4oFOHmjEgBwvUaDdZEyeLi64L/OFUPh5wOJNwvv5jyAvq8fX+9JR1mzjlZGHp8fCD7nYSOQpNDJlaXZwlFoD0zlTtvVjfT3H9JBWKV5qtfiwNMxCOJxkF/VjFxVM3bHh6OgRoPs8ibEyQR4zJ+H3353E/tXRFI2kHNUaop9QCCrvAn7V0TiJxFS5FSooenqxrMLZfjZ0jmU80ayOz4tVuHopkSbs3emKizl1VER5YADMw2jWZdGyk4cTcCTz/HADQZ9f6msEbEMm7mVLZ0QLg6Bu4sLMkvrYegbIPnsCVxVNaOuXY84mRCVrV2409iGD59fhus1LciuaMKW6FC88WQ0vD3dcDC7BEfylbTc+Buj5Ixr0q36VryYEI5fpM6zCLpJuWxsjQkdsfGdKezJAJ2KsHX9mKiMatNgtKksmAej7ZH/ZXIRQxa6JeXED2WNjI341i8a3XPZmkFsr+wQdlgsdwhyOfPcbtW30vqSmQ/qZ1R13iIpH9WtXWjoMKCwRoPYIGMzvIUBM7/iKosxm74Jm6Jmzm88WRixEd7Bgwfx4YcfwtfXlzzm5OSECxcuTOjEpjqYlFhUoB+2/D2HPGaN2sHc4GAyTJYr/MFnu4Pl7oKUUDFiZQIMDQ3h2KZlWCDxpZR3EAvEgXWxJOfVqe2po9r5NM+cYnI6Z8IO8kxHRYsOXh7uUAi9MUfog0EYm8e1aDuxQOI78gBTCLviFXj+kyyyecKnRRXo6u0ny7GnE1xdnPDe+njcqm8ld+8XBfjC1dnpUU9txoFOT206no2cl3+CJDk9fQuhw0aj4wqrNXghJgxPfWi5YffVbiOVyrn79WjUGbAtJhQ748LJLA6iadkVZSNO36omMzw6unuRHCpGhIgLPoeagezLcqOVJV+Wm30vykZMVEbNTAGf44lT21NxobQBN+u0WB0RAH3vAI7kW8rZinAJ5ol8kPru9+C4u+LwhqX4feaP+LRYBeCh3JzZuRzL3/2ecm2SXIT3c0stxowK5MPQNwAfTzfEygTgs9zRN2jZLZtJtolqpkgJD74sN5ub60xVOOTViLjP7gGf3XvU03DAgQnBaL7zkZqHjTbgac1u4A/3oyFANDOvbevC3tN5eHahDMG+Xnj13E2L65eFCBEu9CFpATP3ZuC/f7gNJyejz0msF/+7IxVxMgGO5CtpG6ixXZ2xSEofOFoeJsLGcaRIs6dB21SErXI1Uf4wEYw2z4o1D0bbI/8eLs60NqO7q2W7q0S5kLYRHxPHtS1ICWVIvjP7riZKdmYLPcUQjJQphM/8UYESXb3GpJSZjsQQIa2MjUVuZzNGDBqfOXMGFy9epASNHWBWYn+9cp9ynjVqB3PFyGSYxAcLcLexDbvjw+Hs5ITGDj1Swvzh5eGK70saRiwtyqlQW9BbAMCNWi3iZH64WNaIgmoNUsP8kR5OLWOhy9gzx3jsIDvKnCcWS0OEKGvW4U5jG4pqWhAd5IcF/jxESqYfDcK9pnYcWBdL2R2OEHFR0tQ+7bqh/u1aGVbNDYDYyxPxMuPub3f/IA5fK8PrT0Q96unNKNDpKT7bHR6uzsiYS8/TFy70wckbKiSFirEi3B8Xyhopf7em4xo6DKjvMDAY8I3YGhOGNIUYkRJfvJV1nzYbaE+8AlxPN+w4kYtT21Jwv6kdn1yvoNWRQi8WBocAfd8APF1dEOTLQZjAG0KvidGjM4mjcKLA9XTD1Uo1nOCEP1+6h9+vpbcFYgL98M+SehxYFwtViw5vZ99HQogQO+IUZEny7YY2XKtsxhIpn8xeJmTwL5epQcBICQ8ZcwPwzNHLtNyKpnLDtH4nhAjhx/EYrigynj+SLTCV4ZBXBxyY+Rjtd27N1zH395LlAqyYKx3RRxnJN4qU8MhAzsvJ87Dn5FVKAlD2vtW018eFCHGh1Oj7PflYICQ+LCSECCnZkjtO5OJiWSOShyuQiPsoNTp09faTc+gbHKLn4hfzcPKGalx9MVv8yakKW+VqojKq184LwIbFIRZZsV29faOaJwB4DtNaRYh9MF/MxSCMm8qerpahoQUSX9rnesysOZ89iAnyo0++o2lqbo/s2EpDRdBTmOJ2QxstPcV0jlEUVDXT+syFVRoE8TiPenoTivRw+u+RqWGiA9YxYtBYJBLB29t7pNNmJeiU2BKpZXB9x4lc/PDzDNys01rdJTM3TFIVYsTLBMiqUOOqSo1FUj4WB/giXGgMjGm7eiwCwQRMKS0KqjW05avbY8Pw9EeXTYyU0ZVrjnUX0FHmPPEYHKLuNH5cWI6u3v4xN2d4FAjhe9nUPGE6YInUFxmHMslgoVKjQ361Bie2Jj/qqU1rNOkMuF3fiu7+QYTwOQjwYY+op0z/tiSQj6hAP3xcUI7CGg1ev3CH0rg0VSFGVKAf/nrlPpZIfWkNyKUhQrzBQHuRq1Jja0wYMuYEIKu8icz2Mc/iSFWI4enigl8un09bUWKuI8XerEnTmY4Kk5Eh9mbhz0/FkHLV1dtnIUcyHgdvZ9/HrvhwbPssx0Kvndm5HO9k34dSo0NWeRMOPRuP333PwrIQISIDfHG7vhXf7ElDjqoZl8oasVjKxxIpH9kVapsyjqx9F0sYstCmIxzy6oADMx8T9Z2b+nslJSU2rbMj2RzfvrgCF0obcLVSjXuNRu5hYpMQADYezyZ9x8qWTqQqxAgX+ECl1ZG0Er9dtRCbjj9s9JQQLMByhT/O7FyOw9dKUdOmx5mdy5FToUauSo2Xls7BijkPG6gNDgEnt6UgV9WMwmoNYmUC4Q6eFwAAIABJREFULJb64nfnb+Hru7UOX2wYtsqVvf6wrcHI6CABHj98wcI++PbFFaOaJwAUVjfDy8MdHd190Op7wGd7wMfTCddrNHjysSDKuVXaTlpO4+rWzlHbCR8VKGnHPJqvtEiasfU9EfEEwtd9O7sEr1+4QyvDV8rpA+xXzJpH2zPmVESowNhw0Lw6dzr6zPZCyuPg2z3puFTehJwKNZJCRUgLE0M6w4PlEwXGoPHBgwcBAD4+Pnj++eeRkpICF5eH3LymzfHo0NfXh/3796Ourg7Ozs547bXXKA30Ll68iHfffReurq5Yv349NmzYMNZnmRJgymbjerrZtEtmaphUt3ZRSpuBh911AcDfh82orInSUsBY6nHufi3l71ui5Lhe0wKOuyteiJaTjXUUAm/caWgjFaGtino0O8hEYKe6rctRNjrBuFZJv9OYV9WMdQtk43afydiNtbV5wnQAoS/Mu9pOF563qYjmTgNqWrsgHeaH/eZeLZJDRUhT+COAy7aaTbRhcQgWSrjoHzTyrRn6+slvpbi2BRsWh2D13ADsO5NPoSGKlPBw8eerKJQREh8WUkPFOEJDe5EaZjTg+RwPfPegHhsWh9DuhkcIuTh0tRTxwYIppyOnO0fhRIBJ/5nLHPHvHx7UI/ngeeyOV+B2A1WvSblsHFgXi7uNrfB0dcGW6FCkKfxRpunAogAeDl0thZOTcc0+ebMKbz4dgzURUhTWtOB+UzvUnQa8EC2Hh6sLevoHGMtZgemdAWYrHPLqgAMzH5PxnXd1ddl0HrEeVGq78C9JcxDC94KXhzv5t8cPXyADOR9cK0VXbz+ObUpExqFMAEAQj40btS1YrvDH0NAQjhaUI00hRmqYP9bOk0LKY+NGrbHRE0FvQdj4dxtb8f+kPQZ93wCl4sS0pw0ArPnbD2C7ueLl5Aj8x6qFuFbZjA+ulmLV3AD83+R52HEi1+GLwX654rPcSVooJtiTMJVT0URrA+aq1KPOdA7180ZHdx9ah/tVDQwNwdPVGSIvy+Zo8/152PDxFcQFCRAVxEdxjRYfXCsdE5WDedIMUWFnnjRjz3vKZ8iqLai2DITbGmC3Z8ypiPLmDtr5V2g6pp3PbC9augzoHRiEgOOBOJkAAo4HegcG0dJlgB9n6gf8xxMy2dhjPSNmGi9cuHBUA1+5cgX9/f34/PPPkZubizfffBPvvPMOAGNA+fXXX8cXX3wBFouFTZs2IT09HQLB9CuVN8d4cu/8UFpP60ReVjaiocMAiQ8L4UIf2gViiZSPfWcKjKWvQX6IEHORMScAVyubES8TYO18KVoNvdjeF4ZyjQ77V0SiaLiJQm27Hk06AwCMWwYwh0Pd1SEWgUUBvjY3CnRg9AiehOzcycoYt7V5wnSAPZ1+HbANrYY+DA4NUbJvbJXFJp0BcHLGC59m0X4r7YZeXClvBMvNFe+tj0NRrRbfDdMKfHOvFlcrmynBwpggAa1+jg58WH6XphCTjUbLNR1ko8rkMDF+/XUxeCw3FDBUlDxKHTndOQrHG6PRf1/8WA0ACOSxkW3WsOPYpkS8craQVg5L1B34/dolpBOwSMqHpqsH/j6eWDlHAm1XDy6WNWBVhBQ/1mtxrVKDrTHGclaCrnA6l1uOBg5d64ADMx9TZV0i1gOtvhfHNiUiq6IZ72Q/wHKFkQawskWHz15Ixn11O74vqScDObVtXXhifiD+NWUeStTtmCPiUtaVc/fr8PnWZOj7BhDIZZO2gfl6QQSHT25LYdxw5rPcyb8dFPlgLU0m67FNiTh9s3LW+2K2rh/mdgBATwsF2Mc/bCunMTHPOw1tqG7tgsyXgwUSHq38s9xc0NHdhyZdN2lHSLxZYLlZ+uRf3KrCmZ3LHzZ1DhVi/0pjU+f/d2WkTe/QHETzZvOkGXO+WXveU5Cv0deNkwkQHchHUa0Wf7tWSuvr2hpgJ8acrtWtYUKfaT3/sUDfN4if0tC0fb0nHZYkKDMTde16XFY2IrtCjeRQHZYr/CHlskc1FmPQeKRM4pEgl8sxMDCAwcFBdHZ2wtWEI6e8vBwymQxcrpFmITo6GoWFhVizZo3VMe/cuTOmOY0XioqKRjxnIYeD2Bgxenq6UVt6D7UjXkGFTCazCBSYGgUvRMtR0aLDP0vqcWxTIqW8IyFEiAfqdhzfkogQXy+seD8TQTw2Vs8NwLIQIZYr/NFm6MXGT7LIJgqmAZYj+UpsiZJjzTwpraK+8KAOUV79Vnfb3dzc4OMfhNyqFmRXNiM5RAhPdSs6Gmvg7u6OIp0rbje0gePuytgoMFkuQElJic27+vYgOjp63Me0hkcpu6GhobjTQJ+de7ehDSFsJ1RUVIzpHhwOh/xNze9hi7zYigULFiAljLl5Qnd3N+7epacEmMow6gt/m/TFbJJdeyGRSPCgdQDthj5aWbykbMRiVg8pi4SeulrdgnkSPv56+R4SQoS0196ub0VhdTPWzgtEq6HXaDjLhfiPVQvx5JGLFsHCc3vS8FFBGW353UcFSvwqPgjV1dWIDwpFhMjIn8ZneyBeJoAv2wNe7q5o6DBA09XNqCNTQoUTpiPNwbTu2bPWzQTZpXsPo9F/HA4HySECHM4rQyCXjUAum2zGmBAsQIm6nbGiYu+yuZQ1W8plY3GAL4pqtbhS3oQlUj4y5kpoOY1PbkvBjTotLd3JP7YloaWmgnb9Tgz2Q0djDfr6qByKo3lfjxL26FpTzATZdcB+TJb82nKf0c5lsmUXePTf/Wh8MHv03o8//sh4rqmPk7k3gzaYe2pbCv5y+R4WSfl4fokcO07kgs92x9FNiVjgz8Ouk1fBcTf6zaY6/NimRPyf/83H7YY2JAQLsCU61Op6katqpu1pc6msEbEyY9gkIViA6wz8rg/U7Xh6gXTS7AxzTKbs2qJzra0f9tgBfD7fKv9wLHcIWq2WHHf1XAktp7Guu4fy2xAy3KTTI79aAw9XJ4TxPPGjqowiwxKJBH2uHFKWCERKePh8Wwrq6+vR0NBA3v/ZhTLajPVT21JGJRscDgf3uj1o7eOCyibM8zDa6cb3ZOwlYh4wv1jWQHlPfn5+qO9yoQa35ULsX7EAJU1t8O3rQEtLCzkHcUgYbSPAvt4eFBXdI8e83TzAaIuZj2mKqSC7CxcutFqd+5jQC7dv356MKU46ZDIZsqt1tM+eU6HGyiAvVFdXP6LZTQ78wyLwOI1/+u2edDSWl9BeY01uR8w0Tk1NhVqtho+P0ant6OiAj48PAgMD8fvf/x7z5s2jvY7NZqOurg5r1qxBa2srDh06RP6ts7OTwpPM4XDQ2dk50lSwYMECeHh4jHjeRKKoqGjSFEFKqI7RiVRqdNgVp8CRfKVFeYersxP8fVgI4nHw1IeXKCVLzy0OwW/O3SADI7vjFVC1WH5UTk7AlfJGizkBQLZKg83PJVidu2XWFZUv+c3TeQCsNwq0pdHEdMGjlt1c1QOG42q8EBM6LjJN/KbmsEVe7EF0IJ8+uz6QD09Pz0fiII0HJlO32INHLbv2ori1BjkqemP8srIJG01kkdBTcTIBRD4cKITeJFegOa5WNuO/frIIq0z02p3GNnT3DdIaJdkqDRLlItryu8MblkIoFEIoFAIAPtq4DE8csaQi+nLncij++x+MOjJ9TsCk6MipKpsjYbxl19p7GI3+89UZECnhobZdjw2LHlKUKARW5FDVDIkPmzGQABjtBQC0cplV3gQ+24P2bwX17dgQHT3i+m0rpqrcTNV5mWLC9O5n90Y+xwEScZP0vkaSx+kgs6aYTnMlYKveKyoqglgePqKPYy2Ye6HMmD1JBN8IWorGDj2aO3vI5CDTdcB8PMJ/Wq7wZ1wvCqo1WB0RgHDhw2AbYCzBJ6gTFAJvFNXQB75u1mmxOUoOrhWahZkCW3XueNkByzSDtAkwy+QiyOVyyOUPeXXZw3SV5ry0X+1Oh8z3YSWvPRVP3+WX0crmVVUzdsUrEBAQQB4/UayiPbe4TouNSyJon3kkvHk6D4fzyrA7TkFSXuw7U4CfJYTjpybvam2XCzYsltM2AZTLgyjvyUnbiXUfXbIIbp/dlYZgvhdCQkIoz/TCpzkU+3xftQafvpCEjSa/7x8L6X9TY3VrAmXMRwVrsjtSde501NW2IuuyJT0gYOSz3hQlJ32wmYrPGL7b7Ao1RcZthfNIJ8TGxuKdd95Bfn4+8vPzcejQIaSnp+O1117D7373O8brjh07hqSkJJw/fx5nz57F/v370dPTAwDw8vKi7Ep1dXU5mu3RgOhWCsDCicyr0uAxfx759/xqDT4tVkHf149IiS/aDX347n4djm1KxLECJfKrmjEE4JKyEU5ORlL7zL0Z2LA4hLb0WanRITaIni7EloYS1spJAFA6V+44kYsD62Jx8Jk4vJgQjhNbk6cNwfx0QaKcXjGalwGNBUzdSMe70dBH+cbmCae3p+DwhgSc3p6CA+ti8VEB/eLgwOxCMN+LUXfFyajHCa7veJkAp29W4jF/HpJD6eU4IUSAwhoNRa8pBN4orqV3ti4pGxET6EeW331arEJ+tQaREh6SQqnfHeFAJgQL8EK0HAnDHMY5KjVyX16N8yV1OLE1BZ9sTsSeeAUOPhOHU9tTHTpyCmE0+o8oJU0MEcHd1RnvrY/HwWfiMF9sWaJJYJlciCAemywvowtMmMulqVxdr2lBu6GXduxLZcaN4pHWbwcccMCBmQZb9R6Hw7HJx7G2+Uc0KwcAjrsrhoaGsDtOgcaObjLIo9ToyCa5CcECbIsJtRhvx4lc/DRShmUM68XyMDEWSnxJXvzMvRlYMUzZERlg9DFN72OOtHD/WREwtgd8PjMPrD12APH+KcckPCwwOwYAVyvVOLAuFluiQ8nf8sC6WORVqinnXSyjl0siW9cUTLRndMetNY0bLdbOC0Dm3gysnhcAdxdnrB7+99r5Usp50UECvHK2EC+fKcCRfCVePlOAV84WIirQkmDgSjk993NWheU8icQ4U/scMCaXmMLcbyAQHzw9KFWn+/zHAqZnZzo+05DFkPx5eZS2/IhB47KyMqxcuZL8d2pqKh48eID58+eTQWA6+Pj4kIFgLpeL/v5+DAwMAADCwsJQVVWFtrY29Pb24vr161iyZMmoHmAmo1TdjgPrYnHo2XjMF/MsjIINn2ThzM7l+OC5BLyYEI6jG5fh6KZEKDU6JIeJECcTQOLDQkKIEJ6uLoiXCbA0RIj27j7siFPglbOF+M/vbtIaC3lVGiyTi2gXNFsaSlgruwEecgkBRr6VjEOZuFqpxp+eiMKGxSGOYMg4I2WYO8oUkRIekkPHL2hs+pua3mO8Gw3FBBkNBU1XD/KrNNB0GfVQHI0B4cDsg9SHjUQG3bVyjgQnb6iw93Qe7jS0IpjvhVfOFuJnp/NwJF+JDR9nIdTPi/bajDkB+OoOtcjVmrO1NESA/sEhMhBIBHvfWx8PV2cnyrn3Go1lrKYOQebeDNxpbMOSQD5cnJ2w+/OreDfnAQx9A7haqQbX020c3pYD44XR6j+xNwsr5kjAcjMWfkWIfbA1JpSyKWw6npTLwfOfZOHUthS8EC3Hc4uC8WN9K+U8Qi6lXLaFXP0ydT78fejXV8KxHWn9dsABBxyYabBV73l4eNjk4wwNAdFB9HbpYikf7d19pH4+dbMS8cECpISJsSbCmOGZV6XBogBfZO9bjS3RoWgz9CLFbD2pa9cj/s1zSGKweWS+HDz78RVKsO3opkSIvVnkpuW/pszD0hAh7fVpivFN+pjOaNIZcPKGCn+63oiTN1Rk7x9T2GMH1LR2kglThH14YF0satssqR7mirh45WwhPi2qQHf/AD4tqsArZwsRLuJSzmOqEDYPhAJgTJBICbP0CyciKShWJoSnqzOadN3Ir9KgSdcNT1dnxJglfVhrAmgOumMAkENz3NaAYkoo/beVNI5JVxOJZIb5j2fS2FQFU+wjZRxjH1MZtiZQ2YoR6Sl8fHzw+eef46mnnsLg4CC+/vprcLlclJeXY3BwkPG6HTt24NVXX8XmzZvR19eHX/7yl7hw4QL0ej2ef/557N+/H7t378bQ0BDWr18PsdjRwdocS+UiPH74AuJkAmyJkkPKY1NKlOva9dh7Og/HtyShokWHQ1dLKWTy515cQWlsQJRpHHo2AUUm/FVMpc9afQ9ObE1BWXMHWoab7Pj7sJFf1Yz4YKHVwO5IXUmZmlU4drQnBoXVGhxYF4s2Qw/aDL3gsdzBY3ngeo0GwXzLTrmjgbMTaPmhzOJjY8bSECGllJ+Q62/2pI/vjRyYluBzPGDoG8B76+Nxt7GNbCy3co4Ee05exYVhp+7x+VK06nvJDF+CK23j8Wycf2klciqacL3G2Lk8QsxFQ7seiXIRjuQ/zGi3Rq+TEuaPgzklWB0hhdjLE/EyAXgsd3T3D+LwtTK8/kQUef6ueAWe/8Sy+d7JbSnwcHXFv6bMw2Ip39FwbgpjrA2YssobsfnvOTj8XAI6u/txoawRf9+ShOJaLXJVapLvb8eJXNS161Ha3IF5Ii6ejpThfEk9ZSxCLj/fmkzLWXhm53JamSWcCFu7ijvggAMOzBTYqvd6enps8nFefyIKnT19tLp2rohLBgLNbdmvdqeT13DcXZFX1QxNVzdq2/R4aoGMdrwhDOHQswm4UafFzTotYoL8kBQqxuoPfqDMjwi2EQ3ExN4s8v+brl/JcsGMoggcKwjaB4Ie4u3sErx+4Y5FVaw9dkB8sBCrP/gBbDdXkh5B39eP8y+ttDi3vLkDB9bFUigaIkRcVGg6sMQkcSFOJiBpLU1BFySKl9E3aqY719amccS7sqXJrq6nD//nf/MplBt/u9aPU9tTIcHD861t0Jg3wjO30QnQBXiJRnzmz2ReCWhsfB2PRp2B9J/9vVnkRv9UB5th/uxpMv+xgHh2U1/wMX/erHh2AEga3jCwtPVHR8sx4lv785//jD/84Q9444034OLigsTERPzpT3/C+fPn8atf/YrxOg6Hg7feeovx7+np6UhPdwR5rEHKZePbPem4UNaI8hYd/DgelKBcSphR4X15uxp/uniXct2R55fhQlkD7e5cibodjR0Pd0h3nMh92EyvXot4mRAhfC+8m1OC369dAl1PH/KqmxEd6AcPV1fsO1MIPtvdKoWELQsMYazM9q68k4HrtVqsmhsATVcPimpaEB3kNxw01mL9opBxucfFMmPQw5wf6sTW5HH9jbMr1PTE9io1Ni6RM1zlwGzCx9fLsTlKjlZDL+KdnCDhstA7MIgSdQd5Tv/gEO41tSNzb4aFIX6sUIkXouVIDRPj374uxjf3jBnGylefttBrf7xwG9/uSUduZTPFSRgcGEKonzeF01ip0SF/+JswRXGtllamb9RpMVfEdejKaYKx/E6XlE2QctmICxagoFoDQ18/8qs0SAgWoqimheTDJpCrUiOAy8a5+3WIEHEt5PLsnWrEy+ibOmY+qMeR55ehuLYFxbVaLArwxVwRFztP5OL4liS7HEQHHHDAgZkAW/VeV1cXls8Jtnpuk86Axw9fgFbfS2lWnhbuDxmPg/+5dBer5gbQ6ueLZQ34eHMSvNxdkF+lwc06LWKDBHghKhSf36ykbR52JE+J+nY9lBodFAJvNHQY8OaVe6hr11s8J12wDaCuXyUlJY6AsQnyq5ppg7YF1Ro8+VgQ5Vxb7QDzAPMvUucxBpjDhD6U5rWAUd6ObkqknGdrIBQAuCw32oAaXRWbrcFweziVi2tbaN9pcW0L5gh9yPPs2cROD6f/huky5n2Hn9880cmXRX3+bFUTRF4sC/85V9WEDdPA55zu8x8LsoafnWgyzh1O3MmZBc8OAD4e9DLu4zG6StURg8ZisRhvv/22xfGtW7eO6oYO2I66dj3Z9TAhWAAXZ2cE8Thk1prEmwV/bxZumnFcHduUiC9vV0PT2U07bn6VBluiH34sBD1EvEyA/3kyCqqWTjxQt+P3a5dQu6WC2rDhSnkT46JovsA4dq0fLXbGhVEyGYmMhpPbUsbtHsRucH61hhLcYDJQRwsmbq3LyiZH0NgBAMCzi4LxtEkzDAAU3QUA/7xfh18tn0+b4XtqWyo6e/vw50u3oel6qEef/yQbX+1Ox5XyJuSompASKkaawh8BXDY2LOZQ5PxOQytWzZWQnMamVSDmTqg1vjiHTM8OpCnE2LA4BC98mmOhpw+si8XBXGoz08VSPpo7u3GrTovvH9TjxNYUXFY2koZhapgYb2Xdp71XcZ0W4UIfPD5firuNbZSANLGujyVr2gEHHHBgusGeLNGRzjXlPDbdOJ4n4oLl7oqXkyJw6mYl7TzyqjRYKPHF+mM5JsE341rw+dYUPPY/X1k01z2+ORF17V2krWHkQA5DQmMbuWFt2gRvJJj2HXIACPL1siloay9sDTDfrm+l3WC409BKyTS2NRAKAEIvFgaHAH3fAFycnSDz9UKYwBtCL/p13pa5WuP6Nr+O2Kge6Z3as4l9q06LMzuXI6dCjdxKNRJDREgKFeHH+lYE8jiUc02f39PVBUG+HNrnN58nYZeN9befLEz3+Y8FtsrYTEVxbQvm+fPQZuiFh6sz/L1Z8Pdh4UadFpLhvij2gJHT+KWXXgJgzAhesWKFxX8OTDwulD7MFM6r0iCIx8ErZwvx58v30Dc4iIJqDX569DKFDJ5oinNZ2cjItZkaJkYgj2PB86Lv6weP5Y6lIUKoOw34/kE9rfIva25HvEwwIr8hscC8/1wCorz6HQ7nI8T1YToS80ZbRQxNvEaDyWqEx8TFkzALSP0dsA1FNS3guLuSsg4YddcDtVF3kecxZPgW17agtk1P4ReWctkoqm3Bf//wI7bGhOJ/noiG2MsT//X9j7T8dsW1WqS++z0OPZuAwxuWkpx1J7elWOjCZSH0pUJMzW0cmHlYEyEFMASOO3Uv/3ZDG5SaDorcEuXN5x/UY5GUD66nG968cg/Hr1fA0DeA49cr8Oq5G4ychUuDhThRXImv7tSisLrFYpMPoK7fjj4DDjjgwGyAvXqPz3JHrEwAvhm1HpFEsTtegffWx2GBhIdPi1UortXiwOV7OHmjktGWfWbh/8/emYdFdaX5/8u+FGtRBVSxFhSLCqIgiyAI4hJjEo1OTIgxcYmJ6bbTmcyvZ+z0zNM9nXl6ema6M5mOnaU1asekNbFjYozGJSqyCSiL4sJSVLHWRlFQFFDs/P4o7qVu1b0ICChwP8/TT8fi1r2nbp2655z3vO/3G4hbCvogYUlTK16MDbYw140P5OE/1i/F59tW4NVEMV5fHo4nF/rh5WWhtCZ4LBODOWjbzvCOqYUwR7R4XUZ9ne/ihFCeK8L4bkgK4iOM7/bAQPDqcAGeDjF6fjzsOE/0e9O1JkDvhzBWINy8jRdeX42Lr6/Goa3LcfH11YyVzmfuNSPsd98iV6rGUiEXuVI1wn73Lc7cbbI4lmR4GMMj/08H0U7z9bN5Ox9XZnv7H4bx9rG5ynd3mxD2u2/R0tmDxEA+Wjp7EPa7b3H6buOkzseYafzuu+8CAI4dOza5lrI8NOaC7oSMRJ22E5rOHgjdnS00NQm33rG0NgM9OUg7cIFaMiX2xVJ/Lg4XSbDQ1wM/SY7Av52/RduusuY2iHmuWCn2wY9VcvxYo8SuRDFKGltxrZZew4jdtWZmvPpPD0OFot2iDP/d9UtxqUoOxD74/eNhpkqa14QLaK+TGSaY0uuwTC0z0c8JIn3csS0uhNLXdxzPHynz9MJ/PLkUQ8PDOMmQ6XNVooShfxBflMoAULOUV4b6jqsEr6CuBc26bqR8cJ6SFXRb3oaPnkuiXI9w0Tbv03Qu2ixzD+K3caVGSemvRGlxaZMWv12/BCfL68jfDfH3d9cvRWFdC2L8uDhUJCEDwJf2roGjrTVtv0oM4iPQ0wUXKpsh5rlSgsasbjELCwvL2JjPAYDRDLZqtQ6/yFiEX66OQrZEiQJZC1JEfOzPjIKmswfO9jZ48fM8vBAron0+Rws8cOp2A+11c2pVeHf9UmxY6I+rNUokBvGx0McdmR9dAtfZHld/sgZPLvBDa1cvnjbx/iDOfXZPJmXeNZPzstkMc9BWje3LQqb9+katYkuJhkSaZBnC5HA8qPQGVMjb0NjehQBtP6KFng/1/a8O8zXKm5itNdu6LSufxwqEb18WavG6pqsHRQ0aONvbMF6fkLI4XCzB4WKT12nmNUy/YfOANJ2MHbl+ngXM9vY/DBPtY3ONjVH++JfMKORKVfhT7n0ki/ioeWcTqlS6SZ2PMWjs7W3McPLz88OZM2cgkUiwd+9eXLhwAZs2bZpc61kmhLmgOyEj8f2rq7ArUQyV3oBogQdFk7ijpw8CN2ccKpJQtYqbtUgN9cEyfy+s/eRHiiSFmOcKjoMtdh4vIBePVfs3Ynkwn3aQSg7mQ9qqR6AHB6kHLuDS3jXY+tdr49IwYqEyEf2nh8FcngIYNdqaKh7WCGq8lIzoYJlrupU2tSLAk/PgE7DMODPVz1V6A7p6B2jLkY5mpUDdaUB8AA9bjmaDY2+LbXH0k/1lAV44UlxL/pvIUn4xNhgpIm9cqaEvwbsqUZJyEqY6bKbyFG+tXGBxPcJF27xPN7V3UUoPWeYeTAsXUymVGKEnviyrQ+/AIHjODsiVKpEh9oFEo8eO4/n4dmc6OA62ZACCqDj6/eU7lDnAEj8u0sW+2P99KerbOnFiexp2nSigXJfNQmNhYWFhhsPhMJbhF9a1kIZmH25JxK4T1wEYS8K3xYrw/qZ4iHluFms3wqcmLdQHttbWjON+YhAf2q4erBB5g8dxxM0GDXoGBnE0KwU7jufjUrVRDu58ZTNt+0xN8Maal7FQIeZzpqbJhfWaGdtkZTK0ephqtJZOA2o1euh6+zEMQNfbj1qNHtZWYMxMfhDxgTxspJGGO70rw+LYFBEKqc6KAAAgAElEQVR9jCHF7DNNZP3ApOlsfk5g/FIaM7F+nk5me/sfhvlu6hwj5GLDoSuk2eRfrtfgf6/dx9lXJ+cpNy4jPKVSibt372LPnj34+uuvUVlZif3790/qgizjJ5MhozJG6AmAGqQ7WV6HTVF+SBGFQN3ZQ76PCAyni32QKfbFby7cohgjEMEMJzsbMuMoKYiHurYuLGbIfosWeiIzXIDl//cDuTile/CevdeMQA9nRAs9YWc3OdHtuc5E9J8eBkKewvw6JU2tiPB2n7LrzIRh1/nKZhwslFhouu1JCsPG6MBpuy7L5JnOfk5kyizx98LVGgWsraxor6Xo6MbTi/zx3Z0m8u9M1RgrQnwQynOjZHvekrdhf2Y0qtU6XKull+Yx1dUmMu+JwVqi0aOrb4A2KDcRF22WuYO2qxcXKulloAgple7+AUR4u2PfqWL4uTvjH9MXIoznDkWHAbsSxEgN8Yaroz1O3arD4eeTUdLUChtrKxQ3aCw2h4/dlKK8WQt3RztUKNpRLjdmMH99q57VLWZhYWEZBw4ODrhaQe9DUN6shZjnii9KZbglb0NiIA9Num4czUpBpVqHd86VIiXYG2d2r0Jpcyu+Kq/DhoV+eDY6EMAwihpa0drVgzC+G32VSCAPdjZWeOdsGaysQAYviY3Gk+V1iPXj4gqDfKCpx8hY87LFHDYBw5RVYb7I3bcOCr0BOkMfnokKgMDVCWF81xm5vpezHb7ZmY5cE63e1BBvuDk+MIzDiL53AACg0hu9EWL8uBC4OkHfOwC+y+TOea1WRduncqQqbOdSTxoloI8xLDKrsJvI+uFGg4Y2AeNmowZ+7tT1oamUhulGgLkPz0ytn6eL2d7+hyGVyRhynkj/Xa8zGnhKNB0oaWzFK/GhEPPcUFjfgi0eE3/GP/Bpk5eXh2+++QbPPvssXFxccOTIETzzzDNs0HgG8HN3xtk9mbhSo0SeTIVUkQ8yxD642ajBuYtyspSICNJJJBIMDg/jL4XVFg/NpX5cVCjbGXWOTTPr1kUKMTw8DFmr3uI88YE89A0M4nK1As26bmSIfXDLzIiPoKi+BdmSQdxWtOG7HanTdp9mM8SgZfH6FJvH5UrV9K/XqvFi7PSXVk0lxjItiYXhHpM+HMujZ7r6uUpvwPYv8vDbJ5agsE4NextrFJv0CVNyalXYGBWAXOloW4hMH0VHN3JqVeQEc90nP4LrbE/J9kwL9cb71+7jrbRIsg+aY9oHfVydcHZPJi5XK5AvU+P15eHIZNCMI469UqNAnkyNN1LCsSrs4fXlWB4fzMuAV4T44EqNwkKGioAI6FpbWWHH8XwARpNb0yx6whzpm53pCOW7If79c0gM5OGJSOGI14Gxj5o+K7cvC8Gxm1IARqPFj55LwupwVtqHhYWFZTz09vYyZrAt8eOSz1cigPwfTy7F26dvWDy3P9+2Au9vXAZHe1s0t3fhw4JqONhao7m9G7+5cNuiSiQpmI/8OjVSQ3yQFMy3kN+qUuvw9CJ/9A8NY6k/FyiybPszUf74/m4TgrmcMedl8cvYihM6zAOs9MdMveTHwBDw7JFsMrHg44JqvHft3kMlFvQNDuEnXxdZBNROPEQG6kTkAKrUOtoAb5VaR8m0n8j6Ycykoihq0PjJBUJj7MQkoPbu+qXo6uunHDfb18+max5TcmZJ+x+Gnv5BWmPInoHBR920GSHc2x0v/83SXPuzF1dM6nyMRnjkAdbGQ6ysrAAAfX195Gss04+fuzO2LwvBJ88tx5MLhNhw6AqePXINBwtr8OLneVj3yY+kAZOtmxd+dqoYgZ4uWPPxJYopTsoH5xHgwcGSkexhU6IFHgjluaFJ141Le9fA19UJpU1apIX64mixBMduSuFoa4OlflyUNLbiSHEtrKyMmom6nn7GQPQSPy4kGr1xR7CuFdouS02j+c5MmceliOiNtuhKdh53Voh8aPvwipDZ91nmC9PVz7MlSuzPjMbevxdi14nr+LRIgiVMBqBiH1TI25BmkunbrOvGv/1QBkdbG/JZuebjS2jWdZPZnrsTxdifGYUVwd54O30BhO7OZAmcKeZ9UKU3YMPBy9h5ogCHiiTYeaIAGw5etjDMMz32o/xqGPoG8VF+NeOxLLMPorzyxc/zcLCwBr84U4p6bSf4HEfGza70UF/kSVVkf9ydKEZ9WyeDLIpxUZC7bx2adN3494u3yRJoUwgDPSKAzBotsrCwsEyMrq4uspLIFPPn6xI/LhxtbRirMUubtDh7vwmKDgPuKtuh6eyBr6sT3lq5EAAs1nGFdS1IDuYj61gOfnaqGIeKJPjZqWK8ffoGjmaloLxZiyCuC7KO5WBthJDSPj93Z+TuW4fWrj6cuduIqpYOxjlzRpgvent7p/KWzXraDP34yddFlPv+k6+L0GagBhjNx3rzdfpkIbJtTQ0QiWzbyVIgU9P2S3NzvYnAJG+1kmYNEOvvhbdP36D08bdP3xjZ8B6F2Sja8nViPmV6n0xfNyUugIe3T9/AG38vwqEiCd74exHt9Wf7+nllKP06K51hXTaXyK5VIvXABZQ1axHrz0VZsxapBy4gm2EjYq5xR9FO+xu/q5ycgecDM42feOIJvPXWW9DpdDh69ChOnz6Np556alIXY3k4LlUrGN1bfVydUNXahS9KZdizPAzRAg9KdlG0wAMdPX0YBnB8exqu17WguEGD9FAfpIR4Y/eJAhzNSsHvL1dgf2Y0JJoO/Ou5UqyNEOKXq73QPzhE2a0gNIU+2JyA/sFh2vR/08lTnlSN+yodfp62gM2eM2GmzOPSGEo0UmdhoNXOxop259DO2upRN42Fgenq53XaLrQZ+kgdVzHPFU9E+jGUI/ngeKkUL8eLKX8X81xxsUpOmt6Zckvehu3LRPiipA7nKpuxWOAJHscBnk52tH3Q02lUhoeppM5U95juWNPs+amWqWF5NJj3haNZKWSGz6W9a2j7q5jnCh9XJxzxckW00BOdvf34fCSDzZyi+hYY+o1VPZf2rsb71+5D19OLb3am42KVHGXNbYj150I8IrlCXIOQumJhYWGZ70wkQ9Tcw2Mpw/O1sL6FsRqzoK4F2+NC8Jvz5Yjx4+L5pSLsOJ4PrnMVTmxPReqBC+Q6LlrggfhAHiQaPWKEnuDY26Kw3jhXIDa4n10ciHfOlqFC0Y48qRpHXkhBhaIN+TI13k5fSNE1PVQkQe6+dYz6r631lpVU85k8Kb3sQp5UjXC+G/nadEmxTUe1HlNVXnGDBrsSxZM656ow+rl+htgycGk+j96+LMRiHg0YN1/opTotE0SYNI3pNkhyGKQ0cmtVeCF2dI4+29fPTHrYsyXo/TBUt3SQJoClTca12qW9a3BxHpgAAkCOlF6m6FqtClmxItq/jcUDg8Y3b95Eeno6OBwOlEol3nzzTWRkWAqas0w/5oOGn7szjmaloE6rx96ThUgI9MKlvWtgb2NNG9CwsbJC8oHzSAzkYV2EEDFCD6wK80V1Swc+ezEFF6sU2J8ZbVFGtS1WhHWRQtqHa1N7N3r7B3Hm1VW4JlEhT6ZGjNATEd7u5OQJMGp2HiqswRI/LhsEMWGmzOPG0nkK4k5SvOoR0dVn1OHycXFEYiAPHk72lNdZHj+mq5+vDPXBt3cayUmBvqcPNxpaaPt6QZ0aWxYHQeBmlILIliiRK1Vjy+JAtHT2UExHCWL9ufiXM2WUzbevXlkJPsfY58z7oCljTfLXR/rB3eQ9MyVTwzLz6Ax9uCoZnbiZ+wCYmiHdkrdhhcgbiwQeuC1vQ4AHBwt83LHzeP6Yxo1ESXSFoh2F9S346LkkNOu6UK/tAp/jiF+tiUZbdy/yZS1YHykk5wQuDpPXQ2RhYWGZK0zGrNfH1Qmrw3wha9Uj1t8LNxo0WB8pxPoFfkgN8YGyoxsvxorQrOtmnF/84kwJZX5BSGLJtJ04+XIaLlYrkCLiI8TLFXbWVmjt6oWjrQ1FlqJZ143yZi3WLxBC09WDpCAeBoaGUKfthFzXjfWRQlyva7FYw71wLBcX965Gcb0G+TI1OVfaeTwff9m8bIrv8OxmvAHW6ZrLTYehV1qoL63MWjpDMkezrpuUW0sReSMzXAA/d2fKMdZWoI0/0OX08F2cMDQM2NlYY6GPO5ztbRHoybEw4ePY2+DDLYlQ6g1oN/TBw8kevq5O4NjbWJyTCESbH2seiAbA7E1iFjSe7evnsdofMAld29nErgQxttKYAH718spH2KqZYzxSihPhgToTP/3pT9Ha2oqamhoUFRWhvLwct27dmtTFWB4O8xLvo1kpePv0Dez5qhAHC2uw56tCHC2WoKZFj9QDFyglH6kHLqCqpQMnX05DtMADvm6OWBfph1ypCgEeHHyQVwVFRzdtGZWVFbMmzrVaFTIjBHj60BV8mF+Fn6VGoqBOTZbUAsYf6EIfY9bxVQZzhvkMYR730XNJ2LokeFoysX+sUVqUuq35+BJ+rJ5930dpk7G85A/Z95Bdq8Ifsu+R5Scsjy/T0c8X+rhjZ0Io3j59Az87VYx7Kh1+rKbv69kSFXxcHQEAttZWCOe5IitWBHsbaySLvGlLTcU8N0rmL5FZ0qzrpu2DpgsGJkmOJX5c3Ghspbw2UzI1LDOLSm/Az04VY7FJRoyY50rJPCPM6o7dlCIhwAscexvs+7oIu04U4GixBFXqjpFgsAaR3u4PLIm+Xmf8/5xaNVIPXMD5SjkuVsqx9I9nLeYETAthFhYWlvnEWBmiY3GpWoF3zpUj8f1zOF8px+vLw6Hu7MGvzpWiXN4GHscRsf5e455fEAaoObUqqDoN+I/1S7A6TAArAH/MvoccqQp3lO0UWQrAWM2VLVHh0PPJeCM5AsUNGlhZAQGeHNxWGjcTzWnWdeP9a/fRNzBEmStdrlGioKHV4vj5TFoI/VzMvFpuuuZyTJJodNmiKr0BX5bJsPdkIb4skzFKYyQE0vfL+EAvi2Obdd20cmvEOp/gSo2SNv7AFEwHAGmrHsfL6iBt1dP+vULRjp6BIWi6elFUr4Gmqxc9A0O4Q1Niz3dxQhDXBd19gyhu0KC7bxBBXBeLQDQAxAfQB87MA2qzff18sUpO2/4LlYpH3bRpp6RJyyANND+eb0xrWzppl/HwwDSTmJgYxMTEYNu2bTh//jw+/vhjfPrpp7hz586kLsgyeUxLvM2zlQisrIA8mYriBkpMSnJqVRC6OcPQP4i4AB42H8kGx94W25eFIFuixL8/sQQny+ssrivR6LErQUy7W5ESzMfg0DC03X2o0LVj/V8u42hWCpKDvXFL3oaEQC+ki32R/ueLAICl/lzoDH2ULDuW6ce421RjYR6XGDT7zOMIowXzz0JntMAyt3FzsseZe03kc1Ci0ZPZmOb9Y2WoDy5WyZEW6oNajR53lO0oaWxFXIAXOPa2+GZnOs5XynFb3oblwXxECz2x8dOrFtcsbtCA7+JAew3TbBImSY4Ib3ecLK+jmI/NlEwNy8ySLVHii1IZdiSMSqKY9lFTiho02Jscjip1B5lF9t2dRuTJLI0bq9Q6lMu1SAzkI5jrQqnqIXTqiGBH7+AgGRw276/XJCoLqRQWFhaW+cZkM0RN3/fztAXY9WWBheHdn7ckkpl+t+RtSA3xxkJfD9r5BWGelxbqg1ViX9hYA2fvKZAUzGM0v3sxdnQTPutYDuX6ufvW4UKlHGsjhLRruLRQbxzIraKMCwCQI2vBi8smJ1EwF4kSeNDO0Rb5UgMy0zWXK2mkzxYtbWqlZPtOJGOeMAm7q2zHzcZWLAvwwiJfDxj6LU3CLjPIY16pUWL7stH5DPF7GGtubN5Wjr3R3O9PuZX4z8t3LNoaxHWhGAATZl5HRjZMzM+54eBl8pwfFVThD9l3aT8/s2wDNaA229fP89k8npgHm8bECus1FtnkcxV7a3rlAftJetM9MGj87//+7ygpKYGNjQ3i4+Px61//GgkJCZO6GMvDYVri3dU7gKIGy51jXU8/frk6GldqlBaTC6KE1crKGPioULTjpTgRypq0KKzXwMPJ3igAb1ZGVVivwacvJNM+XP08ONh0+CpZUkVkTSUG8vBqUhjSxT5I//NFNOu6ES3wwOpwAU7faURBXcuUucqyPJgVIj7t98dkMPA4kyLi05ZpsUZ48xPTKojCeg3eXb+Utq+nhXijpasXuhFDE/MJ6Jcvp6Hd0IcX40TgcRxR2tRqkUUBGINyTraWZXEANZvEx9UJX72yEperFZRJ/o7j+fjDM3GU982UTA3LzEIsoP6Uex/Ht6chW6JEebMWGQwLS38PDnaeKCD/fej5ZNySa8nFvun4+seNcbhQKceer65TzkFoBxLlrExBaoDNZGdhYWEBJl/+T7yPKZGnQtGO2/I2HLspRZTAA1uXBMPP3Rk5tSra+cUSPy4K6tRY6OuBHyqbsWGhPzLCfPDMp1ctxoujWSn4qrwO+zOj8atzZVgbYSkj+MKxXFzauxpWI+8xP0dCAA9FDfkwJ22SmWhzlTqtHu9tjEetpoMMsIby3FDf1onFJt4AE53LjUfyAQDO3ZfjYGENEgONwa9jN6UoatDgtaQwPL0ogDyOyJg3D5LRaSqXNmmx80QBec4jxbUoatDgaFYKogRUv4N8mZq2/XkyFSVoPJHfUVG9UUquUq0j4xWR3u4obtBQPlOFvI3Rz2mpmfH1eM8JAG6O9rQBNTdHalLbbF8/rxDRB8dXzIPfeLrYB1uXBFP6w7vrl0LdOT9MxocxDMBSSpF4faI8MGjc0dGB4eFhiEQihIaGIiQkBK6urpO6GMvDQ5R4A4CzvY3FzvGbqQvwAo1+y4ntqQCAfQ0avBQnIstjTReUm49kI4fBGMHdwQ6fb1uB0iYtRfuK0NMiSqqKTDKa9qVG4K6yndRQXBcpxN6Thbg8IlExHs0wlqnBxprePM5mFprHrQoT0PbRdBqjBZa5z0ozXTYiG7NZ14V8WQtWiLyRLOLjF2dK8KfNCbhQKWcsV4rwdsPnN6U4VCRB4c/Xj2noMZ5sEndHOxTUqWEFK3KSz5R1QjzbWQ3juQOxgHJ3tMP71+6hQtEOMc8V+78vNck80yJF5A0/dw4lY7hC0Y4bDRqsibB83nX3DwCwwtoIIcK93XBNokJiEB8bFvqRYymR8TTWRgqbyc7CwsIy+QxR4n3mskOmENnDvQODOFlehx8q5cj+6VrG+UWEtzuZhbwswAu35O20c5YqtQ5PL/LDni+vI4xPf/1mXTf+99p9JAfzcPj5ZJTL21BU34LEIB7WRfrB3saKPiBGI1Ewn0kM4mPdJz/C2c6WDLB29w/gwuurLY4d71yOkHwwT2A4uyfTInBMzCXMs0XNg7FlzW2kx4dpkOxSldyiPcxVm2pKIBgAUkTetLrcK0TU38dEfkcBntQMYuJY8wxiop3m0LVzvOcEAIGbE4aGhqDr6YODrTUEbk4I8uRA4EaNR8z29fNsb//DkBzsjWc+vWLRH77bveoRtmrmOFgowdoIIeW1noEhHCyU4PdPxU74fA8MGv/xj38EANTW1uL69evYu3cvuru7kZubO+GLsUwt5g/npCAealo6aCcX9W1dWOjrjgObE9DR0weBm7MxMGK2oEw7cAE5+9YhW6JEUb2GdATeeDgbR7OSoejoJjVxTAcZYlJkaujg6+qM9u5eCN2cUdasxTBABoxN2/awrrIsD4Z4cJjuNvUMDOFQoQT/OYkHx6PEz90ZZ19dhSsSJfJkaqwQeWOV2Jd2d55l7kI4nS/ypZYNNuu68fbpG/jbS6no6h3AtVoVXhkJxr2ZugC5UvqMiZxaNdYv8COrLbYcvYajWSlkZknqSLkoEZQbTzaJj6sT/vDMMvK4t1YuYDOI5xHEGE1szh4qkpBj5Pf3mpAYyMORrGR8W9GIHccLLN5f3qzFUwv9cXx7GsqaWpEjVSMt1BshXFds/SwHzbpunNmdgfhAHvzdneHj6kT+Lsqa2/DVKytR2tSKS1Vy8r+vSVRsJjsLCwuLCZOt9iHed0fRjvq2TtrAmmmV58vLQnGoSIL0P1/E6d0ZuKdsR06tcdMvPdQH/3j6Jr6/1wQAuLR3Db4sr4ems4f22uXNWmyKCkDRiH4xU0XJUj9PLPT1RFGDBh09/diZKEY4zxVcjtHjge5zq2Q1gLcn7fnmI6b940qNYkrmcuOVfADGH4zdlSjG1r9eszT+esXS+GsiWcGZ4fTJOqvMjp3I72i8GcQTaedEspJVegM2HLqC+AAe4vy5OHW7Eb88W2aRyDbb18+zvf0PQ55MTdsfCmRqBHrOfXmKhT7uWPPxJexOFCPOn4vzVXJ8WiTB0azkSZ3vgUFjqVSK69ev4/r167h//z5iYmKwcuX8cB183DF/OL8SH4KjN6S0x2bXKvHD/WZINHqsixRieTAf22JFsLIyls6+tzEeEk0Hypq0KJCpsWGhH0J5rviXM6XkInfPV9fxSnwoviiVWZw/I8wXjrY2cLKzIbOQf3+5Ar9ZF4PnPsuhZDebc6VGic7eAXDsbVi5immCeHAQZUiE1vVkHxyPEmKgJ3b8P8qvxh+z77EZ6/MIU902P3dnHM1KQZ1WjxsNrUgX+yDc2x1P/MXSpEPS0oHkYHp5k+RgPiK93bDUn4voAuPkmPjNpIt9EOntjicPXib72XizSdgM4vmL6RgdxnejzRjmcxzh60b/3EoX+yJPqsYHeZUAgFeTxFjk44HW7j7ymApFO0ReLgj3doO2q4eiZ/g/V+/ixdhgHNicCHcne4Tz3VgNYxYWFhYaJjtWE/MBld5AG1jLDBfgtrwNK0K8kTpiaFahaMf71+5hgbc7DP2D0Bn68N9X75IBY0LuIluiZAwGp4t9YWNl9cCKkjC+OxLfP4fEQB72JIUhKYhalk73uZv6+yd0D+YDxH3K8OOAz3/40v7xSj4AgLUVaLNFzZNFSxpbGSvpwvlulNcnkhXsaGuFb3amI1eqRn6dGinB3kgN8YajrWW26nh/R+PNIJ5IOyeSlUxIeVQo2nG4ePR180S2pX6etOvn4yMV3I87i3zp1/9/pcm+nmvkMBiZXpsnmsax/lzk7lsHhd4AnaEP6yKF2BEfCjdHu0md74FB45///OfIyMjAjh07EBsbC+txiiefOnUK33zzDQCgt7cX9+/fR35+PtzcjA+tw4cP4/vvv4eVlRX27t2LNWvWTOoDzHdMH86FdSqKtpIpqSIffJhvNDtICPSCoX8Q6yKFyJWqkSH2hcDNCV4cB7g52kHMc4W+dwBflFCzicealGSIfWFnbQVfNyfkSFTQdPXg2LYVsLYCjm9PhaxVj2iBJ3oGBkmNJYIYoScOjZTdzEe5CiIz7KpENW06z9FCT0QLPChlSNECDwvdqtmAqcs1xdSJzVh/ZMxEHzbFtA8QOq+7E8X451WL4OFkj69vNdDqBYr5bnCws6F9hkUJPeFsbwsHW2tceH01LlbJkScdleLZfCQbzbputp+xTAhTSamzr67C5Rol8uuMFRIrRN74v9z72BQdSNsnFws9kStVwcrKOP5uXxaCN/5ehO7+AXy7Mx2wAu4q28mN11VhPtCaBJQB4G+ldXh6UQDbZ1lYWFimADs7O8Y5D1OW5SvxIXj7dAm+Kq/H4eeTUdLUCm13LwRuzvjVD+V4M20BnO1Hl+SE3MVY6y4fVyc89elVnNqZjjypGheqmvHly2koa9YiW6JCjNAT8YE8fH5TiqQgHgrrNXhr5YJHccvmBKPfuRIZ4s6HnueOV/IBMCZXvfh5HkXTeN9I4NJ0bGcy/qIzvTXPnl4VJmDMCv6x2nj9XQnGjMVcqRo7TxRYXH8imOqBm7bVPIN4ItnLK0Pps5JXii3v6XjNL4mgtfn6ebbIe0UJ6Nf/iwQeD3jn7IcxSWge6DkDgLO9LTp6+qHS9+BWsxYxflwIXJ0oY81EeOC7zpw5M6kTb968GZs3bwZgNNPbsmULGTDu6OjAZ599hosXL8JgMGDTpk1s0HiSEINYd98gihpasHWJiLGE5GKVHEUNGmyLC8HLf8uzcFf9YHMC7G2sYWNljbJmLeIDeBaayTuO5+PC66uRJ1XhZmOrhY5iEsfRYhd765JgNLZ2IK++FY62NqTG0p9y72ORrwfiA3nYd8q4zTff5Com4nT7MCg7unFqZzqqVDoo9AYIXJ0Q4eOOanUH4Ddll5kRJutyzTI9zFQfNsW0DxCZxpVqHf5w9S6Sg72xJkKAzDBfihxOtMADQVwOiuqNLtT6nj60dvfCy9kBro72qNd2wtA3gCBPDvw8OJDr6KV42H7GMhFMjW5WhvoiOZgHvosjHG2tIf7dt0gK4iHEy5XSJ/kcRywSeKCkUYOyJqMu4f88HYdhjG6UcRxs8byJfwHxuyNMaU1h+ywLCwvL1ODmG0A757nyxlrGLMujN6QW0kRiniueWhiAfSsiUKnSUapRTP1mCJ+GKrUO5c1arAjxRhjPjZQoCvvdt9iVIMa/ZC6CmOeGCG93PBnph5qRjEJD/wA5hoTxXcl1Y21rJ16KC0G2RPlAI7b5DjHP5dgbKxz/lFuJ/7x8h3aeO94kitUMkg+ZNLILxJzXXH/YfGxfHeZLa/zV1t1L+7mI/hrvPgyRKJj2GNPrHy6WULJyH2ZusSrMF7n71qFc3ka2leijTO180LVSGEzfkoMtjdKJoDVRul/SpMWnRRLaoPXZPZm4LddC0WGAwM0Ji4XcWZPc1tzeRbv+r1RaSnbMNYiEOYskoVmYMDcZBgaHKcbvwIhczcuTU4yYXKh5AlRUVEAikeDXv/41+ZqTkxOEQiEMBgMMBgOsrMYnxn3nzp3pauaEKCkpedRNAAB4BYRg02d5pFPqG8kRFpOLJX5crArzxTe367E2Qojfrl+CfAaNl4a2LqwS+2L9iDD/pb1rLH5sXGd7KDoMOFJci9XhAjy5wGuh/XoAACAASURBVA8XKuXkhCND7INOZSO6u7vB4XDg4OAAG1dPPHM0lzyPn7szTmxPxdaYIORI1bjZqMGlvWtIU70rNQrEuw9Dq6WXs5gK4uLipu3cdND1XQ6HgxK9Le13cbmqGbEuA+jq6nroa4eFhSFGwEVdWycadd0oaWxFXIAX3J3ssVjgiY6ODtTUWO7EPY5wOBykBvNodw5TRTxUVlZOyT17VIzn2fI49F2C6e7DdnZ2cPMNQH59K3LrWpAq4iNdLMC6CCGZofDB5gTsOlFgsoAzmomc2pmOC5Vy8jmYFMxHTq0K6SI+ugeHkSftQnGDBinB3lgs9ES7wQ7L/vccogUeuPj6avi7OeGdc+UWbZoL/WwyTMW49zj13clCdx8s+mkwHylBXrC3t8eGQ6MmHIeKJNgWK8KfNsfjk4JqAMYM4vc3xYPHcSD7ZFqoL5QdBvzTd6VkxjyxsQsYs4jypPTjuLkpLfBo++zjMl8yZ6Ltmgt9l+XxZTz9cbK/pZnuu8Dj+7t/WOjmPH7uzvjzlkS0dPXg2zsNxmd4iA9SAj2hUzTC3t7eYt5KBP+eWeSPf1u7GL86W4YfKuWU9VuGSVm+qVRWQiAPC//rO/JcSUE89A0O4tStBuxcJsLFagWi/byw+8sCi2DB969m4KlDV1GhaEfNO5soJlGEEduZ3Rmws7NDnbrNYkzrUDaifwalK2ay7zI9czkcDu71OuC9jfGUYGyktzsKpEoscOglx1bTdTkwuqHw7csr0NpIlY8UiiNpJSesMEz5/XA4HKwM8abPoA31Icd2LpeL+EA+Nh6+avG9n96VAZlMNua6mulv07Xu4gWG0Aa0Tr+yAiVV9yZ8PoFAgAJVL2kyTNzTCG93FNSpYWtwgEKhMGm7GJJ3NuG+Sgel3oBNUQH4ZWYUHKyGKPffOygUjfo+NLabrJ8d7THU3wd1fS1jex6HvisQCLDUj4v6ti6L9X+MHxdyuZxyT+YSXl5ekOpA2x9krXp49negtbX1UTdz2hAIBMhr7CJjhKbZ/HkyNVwGOmm/+7H67bQHjT/55BP89Kc/tXhdIBBgw4YNGBwcxOuvvz6uc0VFRcHBwWGqmzghSkpKHskEjI4fq+SUh21cgBe4zvYU7ZqCOjUivN3x5rc3AQB/3pKAcgZt4VypGot8R4PEpgHo2/I20hSPCO5+8dIKPPGXHy0mHD+8thpcK2MJeV1zFwRuQ5R2Hs1KoR0oiAypVWECiETBEInmjt4MU999/2Qh7fG5Mg1efC5pyq6vVHdQ7jnxXX318koIvd0emz49HjyZdOMi/GbNzi8dj9OzxZQHPXensw9bZjGPuEu/mknqNJU1aWmDZxcq5Sht0qJ3wJgtzLG3RRjPFQNW1nj2yGWLc36zM330vVVyrBL7zMl+Nhke1775IKZ6zsB0H5j66Zcvp1E2S4mM+P3flyE5mE9ulvI4Dnj2SLbF+02zhgkzF2Jsv9GosWgHQG9K+6j67OPabx7XdpkybfPdv018Mc4y/TyoP86GPmvKbGrrRHn/5HXKv49mpcAKMKv8kFAqrpjmrZE+7rgua0GMHxeHiiSU9dv+70txYnsackcqO9PFvoj0ccddmjHlVrMWvm5OaOjowcmKRuj6BmnnRVclKjjb2WJ3ohi5UhXtMdm1aqSHBOPpw9cYP89cZKxnrqFZi53H8y2+vyNZKYg0ydb8skxGe0+L5TpsNftNfHajFjtPFFhIThzNSsH2ZdRjndu66DNoRd4I9OSQrx27WUt7/VypGi8tC2FcVz/o+TId6y6me1XUbHmvxkt2/nUcLJRQ7mlRgwZ7ksLwwtIkCIVC8lhFhwGKVj3q2rrI0n0PJ3uIvFwp96K6hWH9/MrKx+Y5N1bfrR5j/R8uFFLuyVzDStuJjYevIiGQR2aTf3K9Gqd3ZSCI64Lg4OBH3cRppbq0BJf2rrGoPLhYJceuRPGEv/tpDRp3dHRAJpMhKYkaOMjJyYFarcbly5cBALt370ZsbCwWL148nc2ZE6j0BlTI29DY3g2eiwO56BTzXHG0WELZUUkRecPfg4Mdx/PJ96s7e5AQaCk7AQAJgTw0to/uFhJaoYmBPPw8bQHWhPvixxolNizww65EMXIZMp06evrIydNLcSJIW/Xk3wlzB6YMqRdjgx+oEzTT+qnTyURcYR+GPBn95DBPpka4txvDux5PJqLDxTL9TFUfNv9drwkXUrSLTXdKO/v68ZOvixAj9ISjrQ3t+cqbjQHjL0pliBZ4IFroiQAPZ5y718w4qd6VIMbhYgnyZGpsDOdPyk2dZXYxFeOJaT8lqFC0I1/WQmb9Hs1Kwdunb1hkIJ3bswo5DIt386xhIiA8PGzUPTQfx5OCeNiZIIaNtRU49rZsn2VhYWGZYlKD+eSzNymIhzZDL1T6Htpn+I/VCjS1d2OBjxvO7slEvkyNqzVKJIv48HPn4FChBIb+ATy/dFRakMhCjh7RHPVydsC/ZEahVqNHaWMrkkdK8N/bGE8ZU4hg0N9eSsX/5dynbXu+rAXrIoXwdXVEgYzeNEyu60KeDLSfZ7zygXNpnQYAFfI22vtxR9FGKfGfiHxefp3RCM9cciKfxgivoE6N9zbGo1bTgZuNrVgW4IVQnhsK6tQI9BSZvJf+O82XGYPGk2UiusLjZTqkBleG+uJgocTinqbTaBp39PTRJrB9+XIaBCbmxHkM87M8qdrCXPBxZC6t/yfKHUUbTu1MR6VJNvn+zCjcVbYjiOvyqJs37exKEGOryWYmQMhTpE3qfNMaNL5x4waWL19u8bq7uzscHR1hb28PKysruLq6oqOjYzqbMido6TSgVqNHtUZP7ootEXri+PZU/POZEiQG8ckg7yvxIZDrurHzRAHlHBcq5fj0hWQGzR8+lPpuvBQnopjVWVkBwVwOuBxHiqbQIZpAUVIQD3kyNTj2tngpTgQHWxvEmAyohLkDHbfkbaTLOxOPQj91OlkRQp/NmCKy1F96GIpHBk/zEoXiBg12JYqn9FozwXh1uFimn6now3S/6/2ZUWjt6rXIpnk7fSFujjhEc+xtGZ3FU0TekOu6cWBzAiK83dGg7YTQzYl0rDb/LeTXqRHnz8XhYmCFyBtdXV0QCASTclNnmR1M1XjCtPgpbtBAzHNFlMADslY97cRd3zuA6yOO3+Z90jxrODGID19XRzja2cLOxor83RG/kZqWDhy9UYsMsQ9+80TMrBwTWVhYWB5nUoK8yGevmOcKnaGPcV2TU6uCoX8Q75wrG9E9XoOtS4Kh7erBqo8uISGQh+XBfFppwYwwXyh03RB5ueJ8pRy35VokBvHRPziEz15MQVkzfZVVpVqHuAAvWpO1hEAe3B3tEMJzBdfZnvaYFJEPPi+hL7sfT0Bvrq3TAKCgjikY24Lty0LJf08kiWJliC8OFUosxv2VoZbHljdrsTbCD1xnByQG8sh1cnlzG8XgbjoTkcarKzxepqOtaaHG9QihPS3R6NHVN4DUEMugcb6shfb3c72uBRHe7uRrs339PNvb/zAEcV2g7DBYZJObZufPZW420o8RJU1ahJv08fEyrUFjmUwGf39/8t9HjhxBYGAgMjMzUVBQgK1bt8La2hqxsbFISUmZzqbMCdoM/bS7YidfWYl1EULE+nFJh0wrK9AGUwrrNbC3sabVUXKyt0GTzkCa1f3303EYGh7GPaUOR4prIW3tRFyAFw4XSbAlOoDW+TU+wAux/l7oHRgif6BPRApJUypTcwdzVoX5jhkwBpgzumareV5Jo4ZWb6e0qXVKzSjWRgixdYnIokRB10NvjjBb0Gq1c0rGZDYyFX2Y7nedLVHi9eXh2LokmJJN0zMwSGYXj+UsHs53w4/VCkg0enT3D+DbXRlwsLXBmnABnl9q+VvQdvXgQpXCaBwq9oW8thICgWCK7hLL48hUjSdMi590sQ8W+rhD3dmLk+V1tO/NqVUxPp+b2rvw8Yj2cbTAA7H+XHi7OODJg1eg7e4jgwxJwXxK6excWKSzsLCwPCrGypTtUDaSWZd1rZ3wdXWiJMeYsizAC0eKjQHYCkU7fhwJunI5jvjhtdXo6OnD8DBopQXTxb7wcHYwe7aPZhMzZQpfqlLgJysiaOdFwVwXrPn40oi+8SraYyK83SjZ1KaMJ6A319ZpAJAi4tOO8SvMkiPSTXSoCaIFHrQVtElBPFojOF83yzF7V0IYtn52zeK8X71CNbSayPWni/FmmU9HW++OZJbmSlUokLXgteVhSA3xwT1lu8V6pLiBXuKrqF6DHQmjwdQnIv1o52f63r5Jt3MmWccwv+zomR3tfxjsbKwZs8nnAzlS+oSWnFoVsmInHjuZ1qDxq6++Svn3zp07yf9+88038eabb07n5eccTCUShXUtcLC1RlN7F86+ugr5dS24WqNkdGZ1dbCFI9cFHb39cLC1Ad/FAf4eHLz6ZQEu1ygBGAezVFEStv/NUtD/vY3xSPrTeUje2WRx/peXhdLqPp3amY48qRr5MjXF3MH0mPEMFNNRzvIoOXdfjoOFNRb6S68lheHpRQFTdp34AB6eNjG8ADBieLFqyq7BMj+Zij5M97surNfgcFYKsmuoCxDzjSfTDJ1b8jaki32QGMhDrlQNJzsbbF8WghihJzSdPegbHMLyYD7FnAwAuYAyDAziN+sWw8+DA+VD3BOW2cFUjSdMi5/UEB9sOHh5zIx4vosjEgJ5eIqmT363exUK6lrwZloklgfx0Tc4BLnOQG76flkmQ9bSYNxXts+5RToLCwvLo+BBmbL9/f1k1iVxvIeTPe0YEMpzo5TJE2OLSm+ArFWPn3xdRNkALG/W4h9ighDMdcGhwhoEcV1on+3VLR2M2cRL/bnw5jji8AvJuC1vQ2G9BnH+XMQFeOG3F2+T5/ixWoHvdq1Cfp0a12qVSBH5YFWYL/gujpRsatPPMx/XaQCwKox+PW0eRJ+IjENn3wBtQOuzF1dYHFvS1EpraFXa1EqRSLC2Am1SmLXVVNyFB0P8dohM3z/lVuI/L9+h3cCejrbyXZ2w2cQfgpBsOZJlmZiYHEy/EZAs4lP+HR/Iw4aDly2+p7N7Miff0BkkIZBHu+Y5++rcX//ny+hlVPNl1GzyucrKUPqElsluzEy7ER7L1MG0K5YnU4+UP5VTyp8AUAavdLEPlvp74Y/Z9xEj9MQiX3f8cL8Zhv5BNLZ343KNkixzbTP0orhBM6bO4vOf5eK73atwrVaFPJkKm6ICUdXSwajrtSZCiO7+ARwpMtFelmuROQFN2pnSAJ4piM9jrr801Z+HSTMzT6ZClufkda5YWKaiDzP9rjsMfSgzK/s0zS4mJqb/9kMZQrxc8F9PxUGm7YT4d99amIsc2JyAaIEHmnXdjPpkKcF82NpYT/AOsMxWHjSemGfMJAbQPyuZForVah1ihJ6QaPSI9HZnWIR742oNkyayCq8lheFilRweTvawtrKCRKPHz04Vk/07R6pGs66btl2zeZHOwsLC8iiYaKasj6sTrK2Ar15ZiTypGsUNGqwM9YG/hzO2fZ5HOfYfYoIAAA3aTpTL28Cxt0WM0BP/9kMZeBxH/HrtYtxVtePvt+rx3JJg/P1WPW0bL1TK8cvVUbSl+GKeGy5WyyHXGbA8iIenFvojR6rCJwXVWBshxJupC7DjeD6u17XgSo0Swxi2kAY0zaaeqIYtU6Bitq7TAKPp4Nk9mbgtb4OioxsCN2csFnoyVtMFe3LwwtJgONnRe24ARskJun52S67FYqEn5fVb8jZaQ6tLVXKKPMWVGiVe/DwPuxPFpPHXvlPFOL499aHnAuPJIC6qb8F7G+Mp7Yz0dkdxg8YiiWQ62sqsPd1O0Z4GgGihJ+2cLEpAvfdMCXv5MvWsmF9dYXieZdeqGJMZ5gpMcbP5IM0BALH+XNoxYqk/fWXMg2CDxrMIQuDdnCV+XBy7KQVALX8CRjWI1kUIse9UEV40mcAQWcN/vSEh9bgIs54HGUytixRC2qrHiVIZ/jkzClsWB0LR0Y3/uUrvzF3WpEUE3w1lTVqyjOv8yKQnKYhP+x46HofSm6lkpj5PLkOJwrVaNbJi5/agwTK9TEUfZjqHg621xeQZAPZ/X4rvdq9CtkSJfJmaLEH7641achJrHsQub9Zioa8HcxaMRIlz95txW9GGC6+vHnfbWWYvY/Xdieoymuv9qfQG1Gj0pNyTnY0V/rwlEfeURj2xpCAewvlucHeyR96IzrY52RIVfrgvxxelMrwUJ8LKUB9yrCb6d1IQj3HizxT8nu2mRCwsLCzTxYMyZe3s7GifqeF8N4Tz3bArUUxqFhMben7uzjixPRV12i7sPVmIV+JDkBkuQDjfDSWNGiQG8bExyh8f5lcjW6JEYb0Gd5TteNlEL9eUjDBfBHq64PSuDGTXKiml+C98loulfp4w9A8iPpCH1R9fshjjiMxmojLs6UUBlACYaTb1RAJjKr0BQZ6cObVOI7C1tkJHTx+KG1qRIbaFLU1KLOE9pNAboDP0wd3JHgNDw7C2Avgu1DGXSSe5wEwnGQB2JoSSBvMEdGX2Zc2jweXSJmP27qW9a3CpSj7m98jljh1EGu98KMDThbbamC7Td7JtHQvme6q2MBdsbOukNRdsau+atLnh4wjT/DJXOveDxqkhlobRAJAWOrW+UY8rX99uoJVrOVFWh3dWR0/4fGzQeBaxKox+gRvh7U4JjlypUaKzdwAcextycXi+shl/K62jnI/IGg7nuUHk5Yo7SqOBwoMMptJCfeBoawO5rhu+bk5o1nVjw8HLSAjkITXEm3aHeak/F788W0a2M1rggcPPJyOU5zqhezAdDq6Pkpn6PEwbDumzfBLH8uiZij7s4+qEs3sycaVGgTyZGmkhPogPMC52vno5zeK5d2BzPJ4xkVshStBOvrISms4e2mss8ePCydaaMbuU2HwjMooWc+aHUcJ8Zqy++2WZbFzZZnTBAwCUBRZgHPO+3ZWBoaFh0rG6Z2AId5XtSAjk0ZYZx/pz8dcbxg1hiUaPZ6ICLLQzx9L1nkzwm4WFhWU+86AKFDffgAc+U7kcR1x5Yy1+rFHgao0S/5i+EFv/atSkfXqRP/w9OPixWgG13oBlgTws9HFHnlQFTWcPmUW643g+wvhu9EbDwXxINXpsPmpZik9UcpY1a8k1nSkVinZINB2ID+Rh36liAFMXAMuWKPGLM6UWpn6Z4YJZPd6MdxzV9w6MHN9D+voIXJ2g7x0A34V6TiadZDoTacL82RSjoVUrpcx+V6KY7GcEdNrHpp/LOH9RIqMdjBvKRPa9uTyG+XyIyPQ1P44u03eibR0PE7mny4P5qGnRU8wFHW2tES3gUY5jLPEXz471M2G4aPE6jeHiXGNlKL1RexqNMeJc5LmYIFq5lpOT/I2xQeNZhPkCN1nEh587BzuO51OOixF64tBIuTgxqDHtlJU3a/HO6mg067qRLvYls5jGWoiG8Vzxj6dvQsxzxV1lO6ytrVChaEeM0BNRAvpyD7GZrleFoh13Ve24VK1AMJczocynqXZwfdTMxOeJ86fXJ4sN8Jq2a7LMHx62D6v0Bmw4eBnOdsYSmlqNHrcVbTialQKtoRcnXk5DSWMr8qRqbIoOQG1rJ/0EurEVCUE82r4eM1JKGMR1eeDm29UaJeKXzY9JxXyHqe+OJ7uEbiG5LVaE9Qv8GMsZHW1tcLFKjhg/LpYIPeHmaAdxpCttn1wbIcRPvjYu6gvrNfB0coDA1cni2N9frsDZPZnIl6knHfxmYWFhYXlw9VR+PX0Ar7hBg4RAnsUm4tYlwfhbqQza7j7k7FuHQA8Odp8owP7MaBj6B/FVWR1i/b2wJkKAf/qulFzYH81KwY7j+Ti9OwMV8jZcr2tBRpgvUoL5+O+rdxEfwBszIFxY30Ku6cwpbdLirnL0vVMlHXFVokKzrpti6nfsphS35W346LmkKbnGo2C8kiV9g0O0OsUnaIy30hgCWqk0WZBM1aI5tWq8aFItWsIQXDbXPgbo5i8Sxg1l06xgc3kM089/T6VjPM6cibZ1PNVSTDGIRQIPi2P7B4dpv6tzZlrFcQEM62f/2bF+Tg3xpm2/uYnjXMTBxhrfv7oKVyVK5MnUWCHyRobYFw7zRIaQcbOpsRVhZr+x8cAGjWcZpgtc8/InwDL4QQxqzyzyp90pez05DHeV7bhYJccbKyJRVNdCZjyZG0zF+XMR5++FQE9nvJ2+EBcr5XgzbQF+e+EWAGMm1G15Gz7YnIDm9m5clSiRFuqDhb4e2PjpVYtr50kJLeYyNvNpmjlcbKIjPbLzH+HtjiNFEvznU7GPunks8xzTCTlRcv/XrBSoO3tQqe7C6YpGvBIfilViAQrr1bhWyyS3osIwgA82J6C7bwBynQE8F0eE812h6epFYV0LtiwJJjffrtQoESP0RIS3O2XzLSPMF7299BnLLPOD8ejn0y0krayAa7X0Noo5tSoY+gfxRakMwGh5qRWscHp3Bs7da6YYwthaW+PXaxfjQpUchfUa7Diej6s/WYOvXk5DnqwFxQ0apIf6YEWwF/zcnScd/GZhYWFhMfKg6qlchhJ4fw8OYzZqTq0SR7NS4Opgi3P3m7E/Mxpvn74xOn6MBIq/ejkNKR+cJytB/d2dUanSIYLvhoGhIXDsbNDZN4DlwXxkMzzbiYCwuWmwKTFCT1LWcCqlI0zHTVOJsLdWLpiS8z8qxjuOFjAYbxXIWhBpZrw1MDiED7ckQqk3oN3QBw8ne/i6OmFgcMjiOkS1qHkGb7pZtivT3CNboqJoHxtfG792NyGPkRDII/WH/3K92kIeYyLZw4zzeLO2TqRaipCcMF/rmktOEPeE6fNnxY5e/3DR7F4/32jU0Lb/ZpMGAZ5zu6Kyb3AITx26QiYkfZRfjT9m35sXJoDAGL+xWhVeiBXR/m0s5keofY7C5TjiwuurcXx7Kl5LCsPBrcvx3sZ4i8zjqzVKLPT1QLTJTpufuzOKfr4efI4TFB0GGPoHcblagcwRCQwA5G5xQZ0ab61cgKX+Xihs0OBffyhHa1cv3kqLhLUV8NKyECQF8VBYr0GABwcHr9fAzsYasf5cDA0N4XpdC61RzxI/LiQaPYDRBzXL9LDAxx1rPr6EYzelMPQP4thNKdZ8fAkLfea+eyjL4w/dhHxw2JgF8EWJFD0Dg6hU63DufhPaDH1YHkyvg54czCclV+rbulDY0IJ2Qy+Gh4GsY7m4WKMAMLr59l9PxaKgTo01H49uvhELqK6urmn6tCyzASLbzJRogQcyxEbJh8IREyFzJBo9EgJ5Fq8D1DEPGHVxPn23AT39g0gX+8LRzgbnK+XoGRjCFYkSzR3d2BYXgkt71yDS2w1Dw8Cp2w2IEnjgn1ctgp+HMzrVllk8BBkMJZSz2ZSIhYWFZToh5ggfPZeErUuCKcGpVJr5R1IQj9GE69qI4VSboRfqzl60G3pR3UIvG3FfZTQaB4yVoOliHwR5cpD8wXns+aoQzxzOxvOf5SA91BcpIvp5UKw/FzcaWlFYb8x83p8ZhaSg0TEpWuCBzHABYoSeOL49dVIJOyq9AV+WybD3ZCG+LJNBpTcAYB43Z7ue8XjH0bGMt8y50diKnoEhaLp6UVSvgaarFz0DQ7jR2Gpx7OpwX+TuW4dtcSGkT0LuvnXINLs+09yD7vWxAuHmSFv1OLUzHSkiPkqbtEgR8XFqZzqkrXrKcWNlD5tD3NOkIB5eihORfdT8nppKYxDHMcUM4gJ4ePv0DZQ1axHrz0VZsxZvn75BmxWcI6UPsJufdyHT+tnXMnv5ceRilZy2/RcqFY+6adPOtVrjxkBRgwZflMpQ1KBBhaIdOVJ6nee5xlhr5cnAZhrPckwzj8/fa8Sajy9ZHJMR5mux+/bWyoVo6+7F0ya6oADwbUUDzry6Cjm1KuRIVVgiNO5ItXb14qcmZRx+7nIUvPkEvrvThLJmLV5eFop31y/F/u9LcTQrGX/KvY8KRTvpnDoeLWamzCfWxOfhWTziEmtlBfJ/0QIPRNGYjLGwzDSm2SlJQTz8In0hbjVr8d7GeLQZeuFgY42lflx8XiJF7+AQnl4UQO96LPREz8AgfnaqeFTDqXC01LNZRw0EuzvZ4w/PLMPTiwIsMoqaZu7jszyG+Lg64dpP1+FmYyv+fqseGWG+SBC6Y2jYqFdsqvtvnv3z6QvJ4xrzAONiUuDqhHxZC3oHBrAxKhAAqFloI+//Zmc63vr2Jtwd7fDd3SZ09w/gwuur0VTN3FvnmnksCwsLy6MkJciyXD1d7MtownW1RonfPxWLr2/XQ9LSgbgAHv5+q5722KIGDcQ8VxQ1aLBC5I3UUB+kHbhAOaZC0Y7LNQokBfFpn+0bFvoj1MsFXI4jKuRtaO3qxWvLw3BgSyKq1DpkjKyhJisX8aDMz7nkO0Mw3nF0vBnBABDh7U4xjSNkSehM44aGQSulYG7avCKEXvJiRYilFEFyML3+bzKNbMFCHw9sPHzVoq2nd2VQjhtv9jAApIUaA+Hl8jZSyuJ/no6DyIvqdURIY7QZeqEz9OGZqAB4OjnQGubdVbRRjL9SRHzsz4zCPWU7/NydKccmBPJovX7MA+zRTOtnGsmLx5GEQD4OFkoQJfBAnD8XjnY2ZEXnXCdnRNaFTos7axKZtrMNIvZDt1aeDGzQ+DFnIgHTSB69VicxqK375Ec429niiUghqtQ6yDsMFjuCl2uU+P5uE4TuTtgRH4p/Ol0CKytgW1wI5djTuzPw1KErFtf6fNsKcOxtkSIyOla+u34pfn+5YjRgLddihcibVos5WcTHsRsS2NrYYFWY8XOq9Ab84jtjGyQaPQ4W1iAzzBdHslKQJ1XNiUDyTATF5e1dtA6alSpLcwIWlonysH14w0J/7FsRgY1RgahU66A19CEhkDciMTGISzI5VPoebIoOhJujP3GqSAAAIABJREFUHQqkatpyqzqtHkNDYNT52xQdaHHtuaaRzvLwmPfn3zwRAx9XJ1RWVqLI4ED2r/9+Oo520dPTP4hTO9ORJ1Ujv06N1BAfJIwYO5qTFuKNA3lVWCz0hMDVCT6uvdB09dL24aJ6DX61OgpHimvx1soF49rgmKuLeBYWFpZHQYey0eKZujpMgEvVctogXHwgD7Wtevh7cNAzMAQ/d2csD+YxGHbxcVvebjRrEvvgd5cqaCs1c2pVKK6nlp1niH2xxI+LD3IrsVjgCSc7W/zrD+Vo1nWTgd1TO9If+tn/IFkDpjnVbE4AMjdrXiHyxqowS3M/IiPYfE4Qxrc0fWc2jWujkVIYn5SEl7MdvtmZjnxZC9nOFBEfbo6W4Z5opoASTTCUyNg0v36OVIXt3FGHv4kEort6+2kD4X/fsRLA6H19bXkYlB0GC3PBPcvDLM7Jd3WiNf6iC8SvEI0vwM68ftbNivXzkwv8IHlnE3JMAum/zIyCk93cDwEaNeVFFhrb6k7Do27ajFDb0kG7VpZqOibVd+d+j5nFTNT1nG4iY7o4JP7W1TuA3oFB3Ja30V73lrwN/xATBHVnD7r7BxAj9KSYKSQF8XBbrqUdQGxtrLHx8FW8tzEe0QIPii6yztCH/5e+CEPDw3j+sxwLLeYogSf+N/seviiVkZ9T19OPpGA+5cduZ2OFDQcvW9yXr15Zifey782qychMOdtHCTzHtUvMwjJRJtuHVXoDrtQoca1WiYRAHn6aEonBoSF8d6cRvm6OsLOxxmsnCy1MOj7ckoilAV7YfCSb1Kk6dlOK7v4B/DUrBR/mV9Fer6xJi9eWh0/9DWCZU4zVnx0cHHC1YjSTZmh4mJLVDoxmBD9r0j8/zKtCyDMu4DrbW4x7AZ4cFDVosC81AgdyqxDg6YwSmvJUALgqUWJtZOyEM8TYjREWFhaWqaG/v5/2mcqUjRrMdUH8/55D7r51WCL0xHd3GrE2UsgQsPPE6jAhno0OwM+/uYG1EULaNizx4+LYTSkO5FchMZCHg88vx+8vV2DbF3mU8x3NSiErUCsU7Shu1CCEZwxgTjaIW6ftwktxIjLISTCWTv5MrXWmC3OzZkIb1bz94zVXAyZmGjdeTeWhYUDRYYCTnQ0SArzgZGcDRYcBLg6WQeuJ6P/my+jL+fNkamxfFjr6WScQiM6RMgSia9UQ80ZNugYY7imdTvIdBb1EzD2lZYKUp7MdPtySiFvyNoqXhKeTHeW42b5+HhgawrM0gfTv54Gub3KwN5751DLB8bvdc/+zA0Ao3w07j+dbrJXpNlHGAxs0foyZiEg9wDyRISD+BgANbV1oN/TTXjc91Ae5tSqEe7vhwy2JaOnsQWt3L2mQJ+a5okBmWYaVFMRDvtRoArDjeD7O7VmFsiYtviyTYV2EEGmhPrjVrMUwQDtQ1bZ0wMHWhvycVyVKnL3XhL+V1pHX2BYrwtpIIe19uVqjwG1526yajEz0O54sOQy7xLlSNYJMdolZWCbKZPqw+QLi3H05TmxPhVTbiZ6BQWSGCXC9roX2vLfkbWg39OHjf0hCWbMW5c1avJESjqV+XPzrD+WMiyxWw5WFDtOF8z8sDkQLQ5bvtVoVEjysSCkVQlfP/FiOvS1ypKNmOIQcxQvHcnFp72oUN2iQL2tBWqg3Ajw42PZ5HqIFHljoYyx/XOrnBQdbG3K8NWWJHxdF9RqsX+A3TXeDhYWFhWUymFZ10JnsvnAsF5ffWIPnlwajhMGcqkLeBpWLAb+9eBtFDRq8mbrggVJHRvNVFWWtBBjHrTptJ3YnivHpyHhCyAQ8zGa/wM0J0lY9GeTccTwfzbruMedYM7XWmS7MzZoJzNv/Y7UCFYp27E4Uk4ZxnxZJcLlGie3LqKaEhLmc+Xdrbi4HjD+Dt81An7371SsrwXehfq+JQXyyAtk0oGQueQEAKSJv2jnJChFVdoMIRNdqOnCzsRXLArwQynOjDUSPpf+8K1FM/jtPRr9+zZOqEc53o7yeTxObAIA8qdrCFJLv4oShYaC7fxCOtjYI8OQglOdqcZ9m+/r5Sg39b++qREkJ+M9F8hg2JvJlagR6zn15iiq1jjLObF8Wgghvd1SpJ5clzxrhPcZMRKR+ouTL1Ajju9EaFgRzXXC+Uo6SJi1SD1zALXkbkoO9yWMlGj1iaDqbmOeKG40a+Lk742hWCgrqWiDv6MZzS4IR+P/Zu/O4qO57f/wv9mVYhxl2gYEBYpSIIouCIqCxiU1tTWNjjFtiom3S7+1Nb9vb/npvb7+5/d70pk3TLE1S02g0qZq0JmliEosKCBgQcYkbwsCwDczAsA6LbPL7A89xlnOGGZhhZpj38/Ho45GOw5nPOedzPsv78zmfj9APD/z5FK539EEqDsBzn1TpLMr+3CdVSBAHYGR8gj1esUwFF7jo/IaLy1Thz+WiogfSOyPojrKxnjXvsbZynrXWynhGjwkxlSl5WHvTlJM321Ck14g5sCUbb56tReHNNlxp78EXNQqdGSzaLim6oewfxp/Kb7JlSFvfMP5+uRmfXmtF6p2ZDtpoDVfChek4P/ZeGfZV1OFQdQOKZdxlb1GdEpOTk+xsMqnIX+cNHMbUoKphuaroG8IfSq7jvohg/DR/Ebzd3PDe+Qb8vGAxjmxbDRcXF2xfnoC3vqpF+oIQzjycHBqIT642W+bkCSGEWBQzOScjRsRuOMW8XaLoG8Lviq7hQmsXsuLEnP2g6CABPrrazPZldh4ux0sb0/HapgzszpLii6fz8cXTa/FK6Q32N/nqIgCobO7E5tQ4FO5dh6hAX6yUiPHF9VacqGnjDSTxYerLXUfO4u1KGX547Bye+6QKB7ZkT9vGmqu+jrWYmv7W3kHU/eLbOhvG1f3i22jpHTD42/M8m8ZVc2wal8LTrtWfwcsXJOPqNzODHD/KXQhfTzf8KHch76BBQVIE5+/n6w0UrIgTw9vdFWI/b2TGiCD284a3uyvn+rm5CdyDDPrrP5uzueBqjrWbAWC1kbwZ6e+NFXFiRPp7c/67o/efjc0Sn+/4Nrw74wDxIUtIiw7hrGfSODaGNAXNNLZj2ptD6XxugRlzJfUqfH5DwS4dwYx0Z8WJcaBShpGJCXzVOPWwnbjZhlihn85oRX6i4WtYk5NTC9tvTpUYbOJTkBiO4mfux0VFN2pU3CMfV9p6dHaWz4oV4c9f6Z6/l7sbVvCNuMaJUapVQBh7VcpeWPMea8vmuWY5HOtMEWKO6fKw/oyW4bFxnbW0HloUjYgAH3YZmufW3ItlUUJUNKk5j5saJUSQjydkag0qm9WobFbjva05aO4ZxMHHsiH288bBx3JwSdGNs42dyJGEYl2y4dpzhOjPfpKpNQazURh5ieEYGbkFyZ2OVl1nP5p6Bg1m38jUGuxZkcQ5KydbEoqPrjTj+cIryIyZWsfwbGMHHlwYhUcP3Z1x9PkNBY5sWwV59wDO1KvYWWg7D5fjhW8uNTiuh4eHQ68XSQgh84nA081g01Ngqv3y5Y02xAX74YPtq3GqTqnTD9p5uBy/eTAVb5TXApgKNK97sxDfvDcaf9i4HEUyJY593YIH7onC/1m1EDsPl0Om1mBnegJnnbMsSoj//OISpCJ/nPr+OtwGUFTXjout3EHmojolHriH+00WvtnCir4hnP7+OggF3EE3YO76OtZiavofX56g8zo8sxQA1+vwpQ3cgasz9R14bJluO8TUpSRMnb3LYAY50gMnIZHEcf4tAEQF+t5Z01mJMrkKOZIw5CeGG2wuZ+qGfQCQm8C9pvDqeO7NBfVxbS64LNpwk8qUiCAsjTac6NY1OIyh0XFUtXbhrLwTKyVirI4PQ9fgMEIEd9tOjt5/5p8l7hjpnw3+GfpiG6Rm7vl5uOuscf6D7GRkS8TwdnOb0fEoaGzHrLnrOVMBrnuzkO28HjrfAACoaumCVOTPFtQVTWo8/8BSPPdJFWKD/fD/NixFg1qD/VuyUaPqQ7FMicxYMe4NC5zalbNJbdCw+PeCFHZx+sK96/DcJ1UGr8S8tDGdbWRNjWBG4MmjX+kcZ2R8gnc3yJTIYJysbb97jg7QGJmrne25gvwpEUHI46h0CTHHdHlYv6Ph5e6GbMndivw/778PWw6dQffQKA5syUZNRx9eOHUVP15zL+dxl0QG49b4bb2yIhze7m549lglXi+7CanIH17ubhD7eeHBhZFGOzPEeenPHmLqOr783Fp7HQDYYKyri4vBdwdHx3mfiTUJ4VgcHoyYYD9UNnUiNUqIBxZG4Xyzbp2p6BvCqtdO4O87cxEZ4ItD5xtQ2axmj6EvIHyBQ68XSQgh8wlfHZAcGoj3qhvg4+kOT3c3nG3sgAtcdMr4PGk4fl98Xed4P8tfhE0Hig2O98XTBahs6sS6ZO41ku9PjkSiOBA1HX34ffE1ZEtCkRkjho+HO+8SSFUtXYgWCAz+jW+2bblchUSRHyS3J3nrm7nq61iLqennX4bDcCkAc4Khpi4lYc4xtXV3d0MiMf66vrurC5LF/ogJ8oWPhxvcXV0MvmNsKYRHl+oe//ydJVr0l7Kobu1CpFYwmr//atgWOlAl4wyuHzhXjxe+uUznu4Oj3Gv9/uPJfIRoZX9H7z+bc/3mG/41toNtmKq5MzQ+DpXmlsEa52E8s+qnQ0FjO2bNXc+1K0Bmtl5KRBCy4qZGX5JDAxET7Mt+h9nQLjLAh50RlRUrwnO592J4bAJvV9ShtW8IJ7+/Dhf1XpPKihWhpqOPfWiZY7X3D+FMvQo70uOxLjkSNao+7NuchahAX3i4ueF8ixqPLYvTWadrchJo6uYecdWeqewojZG52tn+9uQkPt2dj5J6FcoaOpATH4rchDDcnpy06O8Q5zNdHmY6GswO0dFBvlgSKURKRBAEnu7sK3rMYJLAc6pR/NPPLuDPj2ShoWsAxfUqZMSIsDJODB9PN5xvVuPprESD3/rdt5YbpIMCxoQP1+yhnYfL8c89a1HaoML5li52cxT9/lGxTImffHoBH2xfjdrOfpTLO7D6zsyZv1TW4e3vrURVs5rd1T4rToxD5+tR09EPmVrDzjL+dsoC/FNrsFPblzVt+O6SWLT1D2FnRgI2LIzS6Uwxypu4X3N1lPUiCSFkPuFqF2VLQnGhtQu7MxPxbpUMD98Xi988uAxn6lXw9ezAMznJWJ0QhiCvqQ26ajr6UdncifXJkWjoGmD7XVKRP7sJ3YXWLuQmhKFYpuTsF43fntR585PZUPijXWt4Nyz7a7UcP11u2H/im227JFKI5z6pZoOYXP2XuerrWIvuetXtyE+M4Ey/qRvGAeYF8/Sv349yF3L+PnNMph0tU2swODo+6wAh88ag/nH173dJPfdyI8V31tLW9vmNNuyrqGPXf65q6cLev1Xi6axEPLRogc65T81ybkeZvAM5klDkJ3K/PbgkUmgwGa6yWY33H88x+G4RX4BfpsS29Lv3ytfTlbP/7OvpGCu8Vrd24diuNShr6EB5Ywey40KREx+Ki61diA4yHByaT+RdGs5ysalbM6M1fR3N2O2pTST1n9sjHOumm8JqQeNjx47ho48+AgCMjIzgxo0bKC8vR0DA1KLlJSUleP311zE5OYlFixbhV7/6FVxcDEetnJ21dj3XroBO1bUjNVKIpVFCHKiUoaqlC5XNavw0b5FOJTU5OYlLim62kJWK/PHPm22o79IgUeyPP34nHf/9z6/ZwDNDf70tRd8Q/uOLi/hJ3iIMj03g8xttSBQHorVvCNUtXciRhCJRHIATNWr8e0EKVsaF4nJbD/LvNDIAcI64frAjF181dvJWpvZqLna2L5N3IszfBwFeHsiICUGAlwfqOjXoGBjGo8H2v5A/sW/G8vCDCyOxOysRvcOjqG5RIytWBIGnGz5+Ig/9t0bxp/KbyIoVoaV3EC9tTGd3ks5MFmNgdAIB3h5YviAELT2DeKKiDpXNahx4dCXeeCTLrHQQoo9r9pDQ1xNt/cOoauliN7J59tg5HN62Cvdpzb4qkqmg6BvCG2dvYmFoIJJDA5ERI0JhbTuU/cM416zGsighalR9CPT2QHVLFx5PS0Dv8Ai+qFFA6OuFBFEA/lByA6sTwniXs2jvG8KuTCmSRP68AyClPGvuOcISTYQQMh9xtUeY1/mPXpQj649fIDNGhB/mJOO/1i/BDVUvflP4Nb57XywyYkWID/HD0qhgfHqtFYOj4yjcu45tHzGb0J2oUcDL3Q3l8k7sqzirEyxzcQGeyJByBsbONnbi4GPZKJd3ov/WKJYvEEHs5wXNyDi7FJM+Y7OnmTe/jA1UOnr7zJSlHFbyLQUQZ7gUgLmBdFOuX5i/D47vzsepOiXK5R3YsyIJBYmzX6qqsqlTp32+NS0e94QG4lyzWifAm75AhH0VMoPBjYwYwzWNH1wYic2pcajp6MOF1qmAXuHedRgcHdP5nkozjA37TrF9/jfKa/H74uucAxTMkhfMZDiAe8kLAJx7TwBAWWOHTtC4tKETfl6eBv3nwdExnXO3V1/cUGDT/hI8kTEVnC9t6MCuI2fxVFYiHlocY+vkWVVqpBCbDhQjI0bEtuff+qoWx3ausXXS5sQlRTfnc3tJ0Y17QgPNPp7VgsabNm3Cpk2bAAC//vWv8fDDD7MB44GBAbz44os4ePAghEIh9u3bh56eHgiF8z/qb0+YCigmyBfPfVKNZ4+dY//tyUwpdmdJDSqpvR9WsN/puzWGf9+QgiKZEppbo+geGoGLC5ARI8LWZRK4uEyt79h3awzrlkSyFWlUoC/2bV6BV0pv4P0LcnaGof4rIke2rcYTR84iQeSH1zZlItDHEyrNMCqbOrF/SzautvfgrFw3SMwVSCLAPWGB2HW43KCxt39Ltg1TRZxBWnQIPruuwIXWLiyJEiI8wBetfUMI9fNBQ9cA0mNEGB6bWnaGL48eudiI9y/IERXoi8K969DaO4i9H1bQ2q1kVrhmsKxOCIOyfxipUUKdjkzhzTakL5p6pa17cASZsSLsq6iDTK1BZqwYWbEiPPJuiUH+fWljOo5elOP/rF6IL2oUuKjoRvqCECwKD8Lmg2cg9PXEv6xeyPNqsWlrca+KE3O+kuoISzQRQoizYQKwlc1q/HfAUnzjzyfRPTSKz3bnIUTgjRKZCsdvtCI3IRxb0yRwc3XFt98pMqgjDm9bjT+UXGeX/GKCZVmxImxfHg/1oGHwFwBKGzrQMXALK2LFuKbsxQeXGrEkSoi1ieFYFB6A+uvXDP7G1QX4YEcuyho6cK5ZjVXxoYgJFmDre2Xsd5xhoNLYUg55Uu6Zvrk8M30tHUhX9A1hw9uGayoff6rAYP1hcywI9jOpD7lGGobSZ9fjUlsPG6R68aE0ztfh0xaIsGHfKYNjHn+qQOd72kt+aK8TzjVAwSx50dg9gHPNU8HqOKGfwZIXAJATzx3gXyXRDTCbeu72anV8GPZVyPDOORneuRvmcYi3sWdL4Dm1pu+ZBhXOyjuRLRHj5wWL4evhHAstJIdaNvZj9at25coVyGQy/OpXv2I/u3jxIpKSkvDb3/4WLS0teOSRRyhgbEOSEH8MjY0DmArwHNm+CuXyDrxYdA05kjDkaS12z7ye9GSmFM/l3otH76xF+vlT+TjXrEa4vw8Enu74xj1RONOgxBMZUqxLjkSHZpjtFB/Yko0XTl1FVtxUR7u2s49zJPySohv/94FUpEQEsQFj7XUbM2NEWCMNw9rEcHoFfRrX2ns5r/F1Za9TvKJBbEOlGdZpwALAvxcsxvbl8fjewTPsshSK3iHePHpN2Qsv96lF+w9sydZ71ZLWbiUzxzWDJSHEn3Mjlw925GKkqw0AoB4aQVasGCkRQahoUuOP38nA5bYezvyr1Axh6zIJXjh1hV1qicm3Z55djwAvDwgFXrN6dTc7lnvzF2foFBAyH7j9+ND0X/qr7jq3E7/fZqXUEGsL8/dByTProegbQlVLF7qHRlH8zP0429iJ0noVlkQJsW15Am5PTuJKWy+6h0c465cLrV242t6L72cnIyUiSGdviAut3ciWhKJw7zrsPFwORd8Q+7cZMSLkJYbjOxyB6M+fKkDIgngcvShnN1ZdFR+GB+8E+JjZzF/WKLArI1HnuM4+UOnvNbWUQZHWTN+8xHD4zdFSBqdq2znzyek6JbYt597kF8C0MZgrPO2bq+26fUhvD3fO9pN+IBgAztSrOI9Z2qC7lAXfWtpcAxTMkhdMHn37zkCK/pIXAJDPM3Nef61iR+8/r+LZcDAnfv5vhNd3awybD96dzMEMonywPRdhAfO/z2jpvGv1oPFbb72FZ555Rueznp4eVFZW4uOPP4avry+2bt2K1NTUaRdhv3r1qjWTarLq6mpbJ4HXTNLm4eGBj7fn4GxzF7ITwrHxL0VaQZmpB+yz3XlQ1d/E6ngpZL/4Nm6o+lAu72CDPo+/X8b+9xatXeCZv391UwZe2piO3uERyLs0eP+CHDszpFgjDcclRQ9nukrqVfiP7Bi01l5Hj0CAao27TuZnRtQXhwVgmd84BgcHTT7ntLQ0s6/TbNgy76ampqKM7zWchg48mhqLS5cuzXGqLMeen0dzmXIujpJ3BQIBLgx6GFRYnQO3cE5r46+dh8tR/Mz9+N/ThjNbAKC8oQPblksgFfmhpXeAswI8dVNhdhlgivmUt2bLEtfCXvKuh4cHxNFxKKzv1JnBkhUrwiWeztGFFjVSfYGWrn5sfreE7Zw3dg+gXq1BZRP3ruWl9R14/sFUnbX5mWOerlMi0t8L94j80K9swX3enkhfHoaRkVtorb2OVhPPU7sOPyPvxGqJGCtjQqCS16F1bGz6A1iRvT5D5qbLXvIuIQxT8/Bc513Afp97SzH3/Dw8PBAQvgCNvcOIEwWgQa1BsMALgyNjOCvvwAfbV7ObhTNKn12PHx47hyWRwfB2597t/ky9ClKRPxrU/Th6Z51KZkAeuBskObAlG+veLAQwFTC6NywQX9xQ8G5aVtfZj+cLryAq0Be7sxJRWNumU1cyMz5XxoUiM0bE7ouTERlo0Xs/l3nXnDKX7xxFMfHY+G6ZwfX/ZEcOGm5c5/wbUzD5p7ypC6WNnVgVJ0Z2bAj6lS0Yu1PHx8TEGFlTWYX1MX5oaWnhP6Z6wuCYwFRA+SzPElhn5R3ICXFBd3c3b5v/SnsvSmXtSBWMsW30mJgYo+sfF0T7obm5GSEhIVgZJ+ZcS3ulRIzGxkZ0dXUBmOpzrI4P1Zlxz8hNCEVNTQ37+yEhIajuBed6t5VNnVjW24muri5EREQY7T/nRXijvZ17Twp7ybvR0oX4aNcalMs72TfqsiVieLq4zOtyOjExEWVy7oGJMnkHwr2BujrDfDVfLFmyxGje/d6SGFy+fNng34zlW6sGjfv7+yGXy5GVpbtkQFBQEFJSUiAWT619u3z5cty4cWPaoPHixYvh5eVltfSaorq62iYNMFPMNm1xocH4a7WcZ+SvE1vS0qDoHcR39p9mGzHam9zpb3in/fdX23tx6HwDvnFPJDsqvfNwOU7sWYuqZjVvhRAZGYnIyEgAwMtaS2NoK5Wr8ZidL0th67xrrNJ1c3Oz2zw9HXt+Hs1lr+cym7zL9cyOjE+gXH63AaroG0Jb35DRPBrm74P0GBGOXmzk/B1rlAH2ej9swVGvBV/eVWmG8UppDdQDuq/u6q+/r62kvgOrs2NQ2nx307l1bxbiV/ffh42LF2BkfII3/yp6h9iOtbbKpk5EBvqitFGNH+feC6FgZs9ZdXU14kKDERcajMeWS+/+Q6htd4i213xjr+nSZrU2w19nHrgg9sWe87A9p222ZlJ+dA4Mo65Tg9b+Wzh8qQmr4sMg8vPC+ZYuPLosDteUujPCtAcwBZ7u2JrGPUs0M1aMIlk74kUBuK7sRe+tMc4+mKJvCP/vwaUI8PZAcmggjlyUY3hsgvOYZxpUWBo5NQvtwJZsfHSl2aCuZFxu68FTWYk6ywTGhTrmvTe1zDV2/49e5O5DVyr6sHkWz4T+m7bMhCz9t+yyJf3caypLQhEaOvU/c48JALk94Gzf5ErDIJFI2PgNXz+9pKETj+q10dMX9HIuq5URI4JYLGZjRD0e3TybNgYjLkqIuLg49nPXzn7O7y5bIEKSOEDnd/7ng6/wdqXMYNO83VlSbHpkBXvclXHDJsUobMlY3v3H1Wb4eXni3rAApEULMTw2Dnn34NSazPO4nAaAc83ck5HONavxRKZ0XtdTgPHYj7u7u9nnb9X3JaqqqrBixQqDzxctWoTa2lp0d3djfHwcly9fhlQq5TgCmWtnGrhH/krqp14POVU3tbaQTK3BkiihTifbWIf7kqIbUpE/Ttxsw5I7U+IVfUN44dQVpEQGIyUiSOf7TIWgTf+VEfZzJ38dyhSmXmNCLInrmZWpNciR6L4W5e3hZjSPBvl4oqpZjZUS3U022d+hMoCYoVimRLFMydZFDKZe48LkMf1XJU/cbIO7m6vR/Ns7PAqpyN/gmKsTwrA4PAjqgVv47HorVJrh2ZwWIYQQO9QzPIYf/L0SOw6X44uaNkQG+uKrRjVqOvrh6eqGqpYune9r96cqmtS4JzSQs35ZFR+KXRmJ7PIBFUZmhGbFinDofAPWvVmIqpYu3rouJy4U1a3d7EQgrrqSkZ8Yjl2ZUmxOjaMlwmB8KYXZ0F7Xl3GlvZftmzOYjeC08W0EZ+oxASBtQQjncZdFh+h8tjKOu43O1XbPiQ/lPGa23ndV/cM4tmsN9j+6EruzpNj/6Eoc27UGHRztpXcqZXhpYzpe25SB3ZlSvHbnLef9PBsNA1Mz59+/IGcH9XP01jR29P7z2cap8zrf2o2Xz9zA+dapcuWsnLusmE9WJ3D3Ddc4ydJtls67Vp1pLJfLER0dzf7//fv3IyYmBgUFBfjxj3+M3bt3AwC+8Y1vIClXxCtYAAAgAElEQVQpyZpJISbKiBHxjvwBYF99qWhS4/kHlqKisZNtTMjUGt7R8LQFIThwrh6VzVN/x4wEytQafN3Ww/mKiLxLo7PmCt/OvbRu4/TqO/s5r3GDut8h1mQijonrmR0cHceqO41F5vOTte2Qhvjz5tEvbyjwyy8uoXDvOioDyKwVyVRsHaadnyqa1HjxoTTePNajaGLX9WdUNKnh6uICGU8ZW9/Zj5ggASYxqZOGlIggSIR+WPXaCQB3X2Ol9bkJIWR+KWu4+5q0/t4MV9p7sH15gs739ftTOw+X48CWbNzs6MPlth5kxIRgbVIkXiutwT9r2/DSxnS89VUtbx8sLzEcYxO32cAYV/0H3KnrpOHYeeQsHk+T4LKi2/h3qe2lQ799wH4+y4kNpq7re6mtG8d2rUFZQwfKGzuQHReKnPhQXGrrRqzQb0bHBO4GY/XbN/srZfifby5jv8cEqbhmBesL8PbEnx7OxOW2HvaYSyKDEeDtqfO9e8OD8K2/nGb3nnjzbC1eKrmOfzyZb3DMpVHBWPdmocHs4cPbVhl8tyApgjOt+Xr3ytH7z09kSrH53RJ2c8Z3q+oxODqOD3bk2jppVrc8Wsg98zza/u+bJVg671o1aMwEhRm7du1i/3vDhg3YsGGDNX+ezECOxPiC6dmSu7uNMo2YiAAfdkMgvobFgwujIPB0x30NwWjtHcSxXWtwqradHc3+3sEzbIVw6HwDhsbG8cH2XKg0w2wHOszfZ1abBTmzFXFibHj7tME1Pr7bsNIlxFLC/H3wjyfz8WWNAtUtXciMFWNplBDVLV1447tZaOoeQHG9CqF+PsiKE+ObHHn009352HywFMDdMkfRN4Sz8g4qA8iMMB077Y74JUU3cqVhSBT789YzrYODWJMUq1PHRQX6YnBkDCt48u9Hu9ZAqbmFXRmJWBk31XlbEStGZqwY6986qZMuZpbPfN99nhBCnMm5O8FarmX8TBnAVPQNYd2bhXhsWRz+96HlGB2fwOtlNVgUEYi92Ul49GApqlu7pg3uav/bzsPlOLJtFZp6BlFcr0SOJAz5ieHwdndBSkSQTuBav67MiQ/D/ckR1PbSY63JTUybJSt2KhgqU2tQ0aQ2CEYvDAvCpv3FSF8gQlq0EKUNHXip5DpngNCcALepwVj+IJXGIEgVEeCD25OT6Ls1Bi93V0QE+CJW6IcIvQ3KTmpt7qe9xNfpunbszNB9S525/tprGvNd/6hAXxzfnY/TMiW71m++NBxRgb4633P0/vN1ZS9e2piOmo4+XFZ0Y2taPO4JDcQNVa/Bkh3zzTvnuAc73jlXjxe0BjvmK75+9WczzLtW3wiPOJZgXw/Okb9gHw8AQEFiuE4j5j++uIi9K5Pw+VMF+LKmDf+82YbD21bjQmsXztSr2Af0TL0K/l4eyIgJwZtna7HryFm28vnwUhM+3Z2P8oYOFMmmdnhNDg3E2jcLIfT11Jl5Febvg82pcdSpNtPo+AQ+3Z2P4juV4/ezk7BGGo7Rce41zQgxhUozjGKZkt1he4003KAT4ePhiqxYEeJD/HG+WY2Kpk58455ItPcP4/iNVrjABW9X1OHY180GeTRPGo69H1ayx2I6Tv/z4FK8YefrmBP7pd2x23m4HMd2rUGyOABVLV04XafEGmk4bz2jP3j5k7xF2HSgGJ5ubvj4iTyUNqim8u/KJORKw6HSDON7B89A0Te1rvHvN6ahvX8YL5dc19l1nsE1y4cQQojj2nRfLIbHJpDAs4zfzsPl+OTJPNR29KFYpsIaaTgkQj98uCMXFU1qdpA8RxKK/zn5NV4vr2X/NiUiCC9tTMe6NwvxwqkrOP5UAcrlHZyTa44/VYDj11tR3dKF1Cghbo3fRnvfEP77gaWQd2ng7uqCEIEPPt6eg3NtfUgUB7B1JRM0XCMNw4aFkRAKvOfs+jkKa01uyk8MR+mz63GprYcN/L34UBoSxbrLXgX73O3DX1R0Y1m0ELsyEtg+vDZzAtymBmNXSEKxYd8pwwDrUwWc5xUV6GsQpNV3rpl7GYWKJrVB0Ji5/s09gxgeG4ePhztiggWc11+lGcaGt0+zAfYz9R34ffF1g7e9ooIEOsHl72cnTQWXgwRG020vYoV+2HW43OA+79+SbcNUzY0lkUKse7MQT2ZKkRYtRHVrN549dg7vb82xddLmhI+HKz7bnY8ivX61j8fMViemoDHRIfbzwe1JYGhsAt7ublgQLECCyB9iv6kC1NfTFZ/uzse5pk7EiwJwpa0H5fJOeLi6Ym1SBNYlR+AXxy+gXj2gU2Hs35KN7sERDI66sxWOduWzIk4MkcALw2MT7AgmMBUk4pt5ZUrAikwpa+zEzsNn8d8PpGLzkjica1Yj7vljOPhYNiSi+T3SSKzDcBONOmxdJsGrmzIQ6HP39TKmTBkZv42VklD4eLghyMcTFU1q/PVCo84x454/hks/3oBNKTFo6R3C0OgEvm7vMfjtuBA/g88IMZV2xy5RHMDZoDa2TAQzeLk2MQKfXW9l/zbhNx/hiQwpHrgnEikRQRgdH8fDB0rY4PDQ2DjiQ/yRLA7EwMg454Y1tD43IYTYL6HQvNd6VZphdA2OwNvdDeH+PnhkSRy+qGnTGTRU9A3hZkcfHl0qwTfuiUJVsxq//ufXyLsToN22fGrG79GLcp2AMTD1hkpj9wBO7FmLZVFCCAVevIOeUYG+eGypBNlxoTh+vRUydT9So0OQ9tJxKPqG2Lqvq6WB3bjtxJ61uNrei+aeQcQEC7A4IsipA8bT3X9rTG66PQn84O+VnO0UbUx728PNFfeGBcLXcypoyvTh9dPJtINO17UjPzGCN8DNfFc/H+h/NyrQF8efKsDpOiXK5Cp8PzsZ+YmGs3fNkZsQzrls5hqefY7Gb0/iZkc/yuQq5EjCEMnz28yazlfae/HOubufc8UcooIE2LY8Adv0lpFxBMx65zqftffianuvQyyvMRt50qnBlqvKXlS3dGH5ghDsTE9AfIjhHiPzUYjAB4reQaRGBmN5dAjGb9+Gy53PZ4KCxoTb5CR8PN2RJA7A6TolSupV+O59MegcHMHj75fh6k8fwpZDpToBI6YCe+GbaThd186OahQkRmByoAdLk6Kg0gxzjmwujRbiF8cv4v0LcoOknK5TYmBkHAJPNzYwzBWwovUg+ZXfWfD+l19c0vm8rKGDdw00QozR3kQjKtAXB7Zko6ajDz/7rBp50nCDQZyGLg07wJMcGsC52QYAvFZ2EyECL6xNisRzn1ThyLZV7LqvAK2jRyxHEizA1zwNaq6OQ8iCeBy9KEeRTIV/zV2Ig+cbDHaVf+ecDO+ck2F3phQhAi+c3LsWL5VcR7YkFPmJd1/nXX8nsGyJ11g9PDxoEJUQQqzobhmrRF4vTCpj9fsqzNr1XO2avDtvphjr2/CtQ1vVrMbD98XgyxoFbx2gXUesig/Fd1Nj8a8fn8dn1+++zcXUfaskiTh6UY6Lih48kSlF58AtVDar4evpNuPr5+hMvf/WqIuNbVrHFZzWbm/HBPPPiGUC3OmBk5BIDI+jTz04fT5wd3VBstgfMUG+8PFwg7ury7THNSY/kXtGdJ7UcIC9rW8IG/ad0np+pp63z58qMAgem7OmsyM7a2RzTGYwar4aHhvXGWxhyt+Pn1hj03TNFWY2vTmTYoyhoDHRod1gKdy7Dt/6y93MNjw2Dm93N2TFilDd0s1ZgRXJlDh+vZWdadzaO4RyeQfy4qd2Qw3z97n7elRrF7LjQpESGYxfn7iM3ATu9ZWWRAbj7Yo6VDar2cxubgXq7FbGiTmvLdeOtoSYQrvBpb+xC9NQY2ZB6HeCLv54A+8Id2qUEIfON2BBkAC+Hu6Qdw/g2M5cfH5DMbUOLK2jR2aJqeeWRAbD252786PfcVBphvHtg2W40t6LrFgRSupVKJYpeQfdmHwsEfohwt8Xb5TX6rz6aMnXWAPCF9AgKiGEWIlhMNe0jUv5+irNvYM4sWct/n65SafsP3pRbrRvw7cOba40DM8eq2Tf3tKvA/iC0S9tTMdn11t1jlVUp8QlRTd+e/oaCveuw+Z3S5y+bjH1/ltrQpOpAU5r/b6px9X/HjC7IBVg3pIfxTIV7/OzZZlE53NrbVpob5zlPLlUNKk580NFoxpxwvk/2/h0HXf9UyRT4tGlEp6/4jezRS3IvMU0cLg2a5CpNVgSJcT6eyJRJueuwIplKkhDAjB+exL/9Y0liAz0wcnadnx+U8m+inWtvQcb7o3C42kStPUN4eu2bvzL6oXIiBEhJSJI53gpEUFIDg1kl6tgCv/G7kHO3y+qU1riMsw7zI62Op/x7GhLiCny7rwaxlVWAHdff9LvNGXFilAm72TXytOm/bxfUnRDKvJHaUMHIgJ8kRkjQqC3BwZGx61/cmReY/IkU6fpS4sOwc/XpuBgVT32fPAVPr/eyja+ogJ9sW/zClxo7UJFkxr3hAYazcfnW7pQ36VBZbOarb8YzCyfNx7JwubUuBl3qsqbung7SoQQQmbH2EQVY/iCfSUyFcL9vZEeI4JQazkvY8FB4O7astpSIoKwLDrEYLkvJjhgLP03O/qQGSPS+XylRIximcpo287Z6hZT7/9M88l08niWYtAP/Jn7+yrNMI5elOO355U4elEOlWaY83vWOn9F3xDbzjpYVc+5zwNgelvpTAN3DIDr9/mepfn2JqOznCeXknru/FDsJOUX33NXzFPPTIdmGhMdTINFyrFZA7PDb20nEBXgy7nGUEaMCC09gziyfRU27S82eCXg9A/uR0pkMF4ru4limRIVTXcX1P/syXyd0cT0GBHihH7YebhcN411SuxI557d5QwjZzNxs6MPL21MR+/wCHqHRxHk44kgHy/c7Oib92saEetgGiJcZQWjuWdQZ7djYOq1fG93V7xSegNvfjcLtZ39KJd3sJtmMs87M1PzmZxk/OjjKp3NN5xtlguxLKae49q1HgCObl+l85bNrfEJdkbygS3ZeOHUVWxMWYDhsQm8UnpDZ3fmbEkoksQB2HzwDABgdUIYXi+7efe3rfDqYynP64fz7TVLQgixhZm+ys43y29ptBBPf1Ch0645/f37p50V6Onmig935OJKew9O1LQhNUqIHEko3uFYH59J3zfvjeZNPzM4r52OxRHBqGxW4/E0CW/bztnqFlPvv7WWPDB10zpzft+c2fPWOH+F3lISTJzg+FMFM14DOSNGxBub0GfqOs2OztUF7OaIlxTdSI0SYklkMGa5aohDSF9gen6Yj5g3+LNiRZCK/CFTa1DRpMaaGQ4Y0ExjooMZzeSbgbXzcDkeXBiNnPhQzpGrbIkYnu6uKG0wfEWke2gUmpExFN5sh3rgFramxaNw7zpEBfpOjYjXK3VGExeHB2Ldm4UGI495ieFI4pml6AwjZzORsSAE3u6u6BkaxblmNXqGRuHt7oqMBc5RcBLLYxpc25cnIDOWOx/FBAvYMuWhRdGo+tcHERXgi3PNatyfHImhsQksiRIiROCFQ+cb2Oedmak5NDaOZdEhOsd0xlkuxLK0Z+3sPFyOlzam47VNGXgqKxEV//IAShs6ON+yyYoV4db4OH6UuxC37mwWe39yJADgy5o2hAi8cG94ELJf/ZLNx/r51xoDm6viuJcZokFUQgiZPVNneurjm+UnFQXoDKhfae/Fybp23u/nScOg0gzj02ut+F3RNagHR7BnRRK+rGnDq2U1+Oa9UcjiaIelRglxpa2HN/2rE8Lw7cUL8FRWIg5vW4UTe9aipWcAAH8/0JTznm9Mvf8zzSfTYdrbh7etwtNa90o/wGnO75szK3glTxtjpSR0xr9/qrad8/dPz+KN4RxJGOfzkxMfyvMXd9dpVg/e4v2OIztdp8Sq107g0PkGDI9N4ND5Bqx67QRvgH8+MRarcgYZMSEofXY9dqQnwNvdDTvSE1D67Hqkx4RM/8ccaKYx0cE0WPhmYAl9PeHl7gofD0/OkStvDzdIRf44WdtucOwDW7Kx8S9FBiOlB7ZkY92bhbiq7NXZQCA3IQylz67Ho4dK2cAxExgWCrwtth6kM/Bwc9NZDJ4ZUf70yXwbp4w4MmZt1rY7ATL9Z/uesEB4ugWh9Nn1CPb1wpZDZwy+8+qmDKxNikSc0A9LIoOxIk6MlMhgXGnrwUsb03HgnExnJgzgfLNciGVpz9pR9A1h3ZuFeGxZHF7blIlAH0+8rTfTq6JJjf99KA2rJFnwcHPFoxz5+Oj21fB2d0NJvQq7M6XszHnt/Gutgc3s2BCLbapHCCFEl6kzPfVxrceaKA7Axr8UGXyXaddw9W1uT4JzQ71ju9bgy5o2vFctx/blCXj+gaXYebhcZ/D9wPl6/N9vpHKmPyLAF/vP1eGP38mA0NcLAJAZKzbaD3TGusXU+58TH8b5vWwJf9DSVMykKmNtX3PyqTmzgpklDvWPu1gvIGfO75fLOzh/v0yumvEGbcG+HpyxiWAfD4PvWmv9Z3vD3OfKZrXT9aMCvLjzQ4CXYX6Yj4bHJjg3Anxva86MjkdBY6JDu4FTeLMNH+zIxYXWLpTIVAaB2duTwNDYBLzc3RDk7YFb47fxyIEzePexbAyPTeBtrdeljK2Nxayp9USGlLMAP/n9dfhD8XWD3zelAiVT9GfOAVPXvkzegS3B5i+GToi28y1qnVf0mYDZhdYuZMSI8ObZWmTFiTnzYF2nBjHBAqxPjsQ1ZS9KGzpwsrYdMvXUOrCvbcpAaYNu49LZZrkQy+LbWCXwztqS2ZJQnfoLAG5PTuLFomu8+biqZaqevKbshVTkj0PnG1DZrMaBLdkI8fXC4W2rrDaw2a9soUFUQgixEu0643RdO/ITI0wuY/X7KkcvyjnXbmXaNVx9G74N8k7WtuO9O3UNMBWg++TJPFQ0drLLff3mwaVs+gtvtqNM3oGVWoPzuzISUS7vwEOLFrC///H2HJxr65u2H+gsTL3/1UbawjNdcmGm6ZyuLWDOBmktPQOc59XaO6izxKE5v8/VzgKmZgvPlNjPh41NeLu7YUGwAAkif4j9DH/f0puE2Stn3ggvItAXtycn0XdrFF7urogI8EFssAARc/As2oOv23o48/iV9t4Z7WlFQWNiQL/BkiQO4CxAmVmG71TK8Lvi62yjZfH//gP1/993dEYbja17eknRje3L43GhtZszc19SdOONR7IseIbOx9jmAPo7yhJirs9vtGFfRR0yY0Q6AbP/eXAphkbH4eIC3ue/qlmNJzKlUPQOoqReZTBDYUlkMJ7VGh13xlkuxPKMDToWJEXo1F9ZsSJcV/YZzcflDR0Q+3npzOZIiQjC/ckRVu9gj42N0SAqIYRYEVPGpgdOQiKJm/FxZjJrmW9WaHVLl86bWFfae3GxtRsXWrvx7LFzSIkIQr5WMFrRN4Sh0XGDwfmnsxLZoDEAdLU0YHNa2rT9QGdiyv3nawvrX9+5SOd0bQFz8mFmrBjr3zoJXw939ryGxsZxYs/aGf++fjuL+f18CyzlEebvA7lcDokkgvd7vJukyVTzKq/P9C2J+SIqSICoIAFGRkbg5eVl6+TMqTMNPBuxzjD2Q0FjMmsCTzeDza42v3sG/3gyHyX1KpTJVfj24gXoHR7jHlWMD8W3Fi/Azz69wHl8Z3iFwtrM2RyAEHMxI9n6rz/lSsOw/1w9ZGoNtqYZ37wyKkiA47vzcVqmRJm8AzmSUOQnRsDTzQWHt62iGZRkzkQF+uL4UwU4XaecelUyLQHvVTcYzcfLooVYGh2CBUECdiZOQZL1A8bEebn9+JCtk0CI0+nu7oZEMvOgkjmzMRl8swWZDYO1nWtWY0WcCKsTwpCfGK4zwzVOKMAvPr9oeHwnmHVoKcbuP19b2B6vrzmz5/Xz7I9yF866La7fzsqRGObX2ZjuOXWWfvFs3pKYT65evYq0tDRbJ2NOWTqPU9CYzBrXKNboxAS83F2xbXk8ti2PR2NjI3yiuUe77k+ORKC3p1O/QmFtzOYA+tfe2OYAhJiKbyQ7URTAPtemrI0XFSTAtuUJ2LY8Qef4NIOSzLWoQF+2/gIARd+g0Xy8KDwImS9/zs4wOtvYgU33xdgq+YQQQuyUuW+G8LWxkkMDDSbt5CeG8x7X2WcdWpujXV9zZs9b420m/XbWXOJbf3o+9ost9ZYEcSyWjv1Q0JjMmimj5l1dXUiL497ggfmeo1W2jsSczQEIMRdfGSAUeLHP9c7D5TiwJZtdEy0vMRx50nCnG+0mjmm6fOzqApoRTwghxOK42ljZklDsOlyu873p+kwzmeVMTOeo13e2s+cdUbCP8/WLnfE+OzNLx34oaEwswtQRSGPfc9TK1hGYszkAITPB92xrP9cfXmrEw0ti8dgyCbvpGCGOQHtzIL58TDPiCSGEWANXG+vQ1hyz+0y0/r110fV1DNQvJvOdpfM4BY2JRag0wyiWKVEkUyFPGoY1M5xBSJWtlU1OYhKTwOSkrVNCnIB2ufDd+2LwwjeXUbCY2D2++kx/cyBCCCFkrlHbivCxVH/cGTCb5hEyr1ko9mO1oPGxY8fw0UcfAQBGRkZw48YNlJeXIyAggP3O7du38fTTT6OgoABbtmyxVlKIlak0w1j/1kl2WYl9FXVIiQjCiT1rqTC2E/r3CADdI2JVVC4QR2Qs3xJCCCG2RG0rwofyBiGEYenYj6slE6dt06ZNOHToEA4dOoRFixbhl7/8pU7AGABefvll9Pf3WysJZI4Uy5Q6GRIArrT3oqReZfBdlWYYRy/KsffDChy9KIdKMzxXyXRq5twjQmaKeb5/e+oqTtS0UZ4jDsdYWSkQCEw6BtVzhBBCrMHU9jzVQ7Zhy+tOfT1CCMPS5YHVl6e4cuUKZDIZfvWrX+l8/uWXX8LFxQWrVq2ydhKIlRXJuDNfUZ1S5zVeGgG1HVPvESEzpf18P54mQUOXhvN7lOeIPTNWVqYvn35TVqrnCCGEWIsp7Xmqh2zD1ted+nqEEIalywOrB43feustPPPMMzqf1dbW4rPPPsMrr7yC119/3eRjXb161dLJm5Hq6mpbJ4HXXKdNIBBgVZwI+yrqDP5tlUSEmpoaDA4OQiAQ4GSNgnPE49RNBZb5jWNwcHCuko20tLQ5+y3Atnk3JCQEK+PEnPdopUSMxsZGdHV12SBllmHPz6O5TDkXe8y7AoEA1Rp39vmWqTXYmhbP+V3tcsHezae8NVuWuBb2mHe1TVefjYyMGL0O+s8BYy7qOXvNq/MlXfaed4nzMTUPz3XeBez3ubcUW52fKX0uABaph+zhHs5l3jWnzOW6Nras/5nfN6U/zsce7rel2fKcHCnvOgtnOveZxn6M5VurBo37+/shl8uRlZWl8/nHH38MlUqFHTt2QKFQwMPDA1FRUVi9erXR4y1evBheXl7WTPK0qqurbdIAM4Wt0hasGUZKRJDBmikFyVHsyKpcLkfpFe4Rj1K5Go89ksX5b/OFrfNuj0c35z1aHBGMuCgh4uLibJa22bDn59Fc9noupubdlz+sYP+7okmN5x9YOm25YM/s9X7YgqNei5mUu8bqs9ba69NeB+3nQJs16zl7vT+UrpkzKe/+9frcJIbYJXvOw/acttmydflhSp9rtvWQrc/RFkxtLxi7Nrao/7WZkje4zMf7PR/PiY8l8u5854znbunYj1WDxlVVVVixYoXB5z/96U/Z/3711VchEommDRgT+xXm74MTe9aipF6Fojol8hLDkZsQplNBjYyMIE8axjnikZcYPpfJdUotPQN4aWM6bnb04ZKiG6lRQiSHBqK1dxBLo4S2Th6ZB/Sf752Hy3FgSzYUfUM4K+/gLBcIsTfG6rNWE/6e6jlCCCHWYkqfi+oh27D1dTclbxBCnIOlYz9WDRrL5XJER0ez/3///v2IiYlBQUGBNX+W2ECYvw82p8bxrpEyODiINUmxnCMeuQnTrxNJZiczVoz1b52Er4c7pCJ/HDrfgKGxcZzYs9bWSSPzxBppuM7zregbwnOfVOH099dh23LupSoIsUfT1WfG6D8HANVzhBBCLGe6OorqIduwh+s+m/YLIWT+sHTsx6pB4927d+v8/127dhl854c//KE1k0DsCI2A2o72tT9d144f5S6ka08siu/5Fgq8bZ00QuYM1XOEEEJsieoh26DrTgixF5aO/Vh9IzxCtNEIqO0w1z49cBISSZyNU0PmI3q+CaHngBBCiG1RPWQbdN0JIfbCkrEfV0skiBDiOLq7u22dBEIIIYQQQgghhBBiJZaI/VDQmBBCCCGEEEIIIYQQQgiLgsaEEEIIIYQQQgghhBBCWBQ0JoQQQgghhBBCCCGEEMKioDEhhBBCCCGEEEIIIYQQlrutE2CKyclJAMDo6KiNUzJlZGTE1kngRWkznaenJ1xcXKz6G/aWdxn2di9mwxnPxZnz7lyaT3lrtix1LRw979prnqB0mWcm6XL0vEvmF3Py8FzmXcB+n3tLme/nB9jPOVo7786kzLWXa2NJdE6WR3nXvjjzuQOzjzG4TGrX8nZKo9GgtrbW1skg88zixYvh5eVl1d+gvEusgfIucVSUd4mjorxLHBXlXeKorJ13Kd8Sa6G8SxwRX751iKDx7du3MTg4CA8PD6uPlBPnMRczLyjvEmugvEscFeVd4qgo7xJHRXmXOCpr513Kt8RaKO8SR+TQM40JIYQQQgghhBBCCCGEzA3aCI8QQgghhBBCCCGEEEIIi4LGhBBCCCGEEEIIIYQQQlgUNCaEEEIIIYQQQgghhBDCoqAxIYQQQgghhBBCCCGEEBYFjQkhhBBCCCGEEEIIIYSwKGhMCCGEEEIIIYQQQgghhEVBY0IIIYQQQgghhBBCCCEsChoTQgghhBBCCCGEEEIIYVHQmBBCCCGEEEIIIYQQQgiLgsaEEEIIIYQQQgghhBBCWBQ0JoQQQgghhBBCCNnGljkAACAASURBVCGEEMKioDEhhBBCCCGEEEIIIYQQFgWNCSGEEEIIIYQQQgghhLAoaEwIIYQQQgghhBBCCCGERUFjQgghhBBCCCGEEEIIISwKGhNCCCGEEEIIIYQQQghhUdCYEEIIIYQQQgghhBBCCIuCxoQQQgghhBBCCCGEEEJYDhE0npycxMjICCYnJ22dFELMQnmXOCrKu8RRUd4ljoryLnFUlHeJI6J8SxwV5V0ylxwiaDw6OoqrV69idHTU1knBtWvXbJ0EXpQ2+2NPeZcxn+4FnYv12GPenUv2dj9sydGuhbXyrr1eB0qXeew1XYD1y117PvfZonOzLSbvXr161dZJsSpHuBez5QznyDC3zJ2P14bOyTFR3jWdM587YJnzd4igsT25deuWrZPAi9JGTDGf7gWdC7EWuh930bWYYq/XgdJlHntN11yYz+dO52Yf5vtAsyPdi5lyhnOcqfl4beicnIMzXxNnPnfAMudPQWNCCCGEEEIIIYQQQgghLAoaE0IIIYQQQgghhBBCCGFR0JgQQgghhBBCCCGEEEIIi4LGhBBCCCGEEEIIIYQQQlgUNCbEyQiFQlsngRBCCCGEEEIIIcRqKPYxe+62TgCxbyrNMIplShTJVMiThmGNNBxh/j62ThaZAZVmGFfaetDSO4760TakRAbTvSROj8o4Yi2UtwixLXoGiT1y+/Ehs74/8fttVkoJIfaPynEyUxT7sBwKGhNeKs0w1r91ElfaewEA+yrqkBIRhBN71tr8gaMKxDydA8OoV2tQq9bgsqIbw+O34evpDlcXQOxH143YJ2s/58bKOOK8LJHv7Ln+JGSmHKntRc8gIYQ4Nnsoxx2p3iN3UezDsqwWNJ6YmMAvf/lLyOVyuLi44Ne//jWSkpLYf//ss8/w7rvvws3NDUlJSfiv//ovuLrSahn2pFimZAtpxpX2XpTUq7A5Nc42iYJ9VCCOpmd4DD/4e6XO/UyJCMIHO3Kp4CR2aS6ec2Nl3H0CgUV+gzgWSw0k2Gv9SchMOVrbi55BQghxbLYuxx2t3iN3UezDsqwWpS0qKgIAHDlyBD/60Y/whz/8gf23W7du4eWXX8bBgwdx5MgRDAwMsN8n9qNIpuL+vE45xynRZawCIdzKGlSc16ysocNGKSLEuLl4zo2VcV5eXhb7HeI4jOU7gRkDCfZafxIyU47W9qJnkBBCHJuty3FHq/fIXRT7sCyrBY3Xrl2L559/HgDQ1taGgIAA9t88PT1x5MgR+PhMRfnHx8epg26H8qRh3J8nhs9xSnTZugJxROea1WZ9ToitzcVzbqyMGxkZsdjvEMdhqYEEe60/CZkpR2t70TNICCGOzdbluKPVe+Quin1Ylsvk5OSkNX/gZz/7GQoLC/HKK68gJyfH4N8PHTqEkpIS7Nu3Dy4uLpzHGBkZwdWrV62ZTMIhZEE8vn2wzGBa/8fbc9DV0mCTNAkEAlRr3LH9yFcG/3Zoywos8xvH4ODgtMdJS0uzRvIM2EPeFQgEuDDoiW1/LTf4t/e3ZiPVd9Ska0bsw3zOuwKBAF5eXnBxcUF55/isn/Pp2GMZN5/Za961Rr6jvDW/2GvenSszaXsxz9XIyIhN2hj0DE5x9rxrjzL+et2s75977F4rpcS+zUXepXxr32ZSjluq7plNzIHyrm1R7GNmjOVbq2+E99vf/hb/9m//hs2bN+P48ePw9fUFANy+fRsvvvgi5HI5Xn31Vd6AsbbFixfbfEZydXX1nDXAzGWNtJ3YsxYl9SoU1SmRlxiO3IQwhPn7IC7UvN+xZNr8+4aQEhFkUIEUJEfZ7fpCts67wZphzmuWlxhht9fMFPb8PJrLXs9lrvIuu9HElTsbTSRFzslzzlfGdbXMXWfb3tlr3pyOKXnXnHzXWnvdrOtgqfpzOvZ6fyhdM2etcnc2587XjuAqkw2fq1irtzW4zm2unkFrc4Q8q82R0moui9wLM4PGc309HS2/WYKpZe58vDb2fk7mlON36x4l8qThs657zKn3bMWZ864x8zX2MROWuPdWCxp//PHHUKlU2LNnD3x8fODi4qKz0d1//ud/wtPTE3/6059oA7w5MpPdP8P8fbA5Nc5uNg1RaYax63A5XtqYjpsdfbik6EbaghBsuDfa6QoAc7i6AH96OBOX23pwSdGN1CghlkQGw3X6sRpCrI5ro4mCxHAc352P0zIlyuQdyJGEIt8KFb29lXFk7vDmu6cKUC7vQFGdEislYiyOCEZlUyfuWxBv1vEpb5H5JMzfh7fzrt2+fG7Nvdj8boldbBxEzyCZD9x+fMjsv5n4/TYrpIRY0kz65c7I1HLcsE0nm3XdY6zeI/aNYh+WZbWg8f3334+f//zn2Lp1K8bHx/GLX/wChYWFGBoawuLFi/G3v/0Ny5cvx44dOwAA27dvx7p166yVHKc3X3b/LJYpcapu6n+ZMSJIRf44cK4eQT6e1Ckw4mStEo+/X8Zes0PnG/BssxrvP56DR5dKbJ084uS4Npo4VafE8RsKVDV3YWR8Am+U1+L3xdcdrswi9osv35XLO7A+OQKXFN14o7wWlXfWP3PEOpMQS+LqvGu3L7NiRThZ227T3e4JIcTezZd+uT0xtmndbOoeGnx0TBT7sCyrBY19fX3xxz/+kfffa2pqrPXThIO1CtK5pr0gfWWzmu3MF9UpHeo85lpJ/dSC/drXDACKZSoqOInN8W00Ud0yFTB+/4Kc/czRyixiv4xtcBIT5Ivfnr6m87kj1pmEWJt2+1Iq8sdlRTfn96idRgghU+ZLv9yeGGvT0TV1PhT7sCxaF8JJzJfdP229i6qjyogRmfU5IXOJ77lOjRJCptbofOZoZRaxX8bqk5L6Ds5/o/xHiC7t9qVMrcGSKCHn96idRgghU+ZLv9yeUIyAaKPYh2VR0NhJzJeCdI00HCkRQTqfpUQEITeB+/zIlJz4MM7rlhMfaqMUEXIX33OdHBqoMzoMOF6ZReyXsfokTijg/BvKf4To0m5fVjSpcU9oILXTCCHEiPnSL7cnFCMg2ij2YVlWW56C2BemINV+FWbrMgnWJ0faMFXmowXpZybYxwN/ejgT15S9ON/SheULQrAoPAjBPh62Thq5Qyjknp3lDLie62xJKHYdLtf5HjX+iCUZq0/WJUXi3wsWo1imREXT3TWNKf8Roku/fbnzcDmObFuF5t5BlMhU1E4jhBA9XP1yamPMjnab7nRdO/ITI6ju0RITE2PrJMwpJvahvxEexT5mhoLGTkK7IL3Y2o1dmVJUt3ThZ59dMHvHVlvv9koL0ptP7OeD0YlJAECSOAAebq6IFfpB7EcVqa3dfZ6UyOuF0+yezFWO6D/Xh7bmoKRehcauAeRKw5AoCoBQ4GW7RNuIrcvc+YxvY69imRJdgyPYsyIJrz2cidbeQaSI/eb0utN9J7Zkav7jGnxJEPljpSTU7tcNpGeMEGILjjYJSqUZxpW2HrT0DmFBkC9SIoPnLK3mlNNMmy49cBISSdycpM/eKfqGUFSnRJlchRyJBnmJ4YgK9LV1sqxO7OeD25PA0NgEvNxdERPshwSRP8U+ZoiCxk6EKUhzE8I4d2z9YEcuAr09jFYCXLu9bl0mwaubMhDo4zkn50HM1zkwjKbuAYxMTMDVxQUjExNo6h6Ap5sLFZ42ZPg8yZxi92RTd40O8/dBbkIYJicnsf9c/Zx26gUC7uUJ5hrtsD23jF3v1trriAtNm5NAE913Ykt8+a9w71rcngRn/ne0wXx6xgghtuQo5WbnwDDq1Rr0jYxhEpPoGxlDvVoDVxdYvQ9J5fTstPUNYcO+Uwb9zM+fKkCkEwSOw/x9EObvg/7+fgQEBNg6OQ6NgsYOxhKdVb4dW0/VtuNsYwd+963lvMfU/tuoQF8c2JKNmo4+/OyzauRJw2mWhp0aGptARIAPyuQdKJd3IFsSihxJKIbGJmydNKfmrLsn85331fZenfJjpo3FmZaT2n+3Kk6EYM2wzcszZ80jtmLset8nEMwomDYTp+vovhPb0X8OsmJFkIr8MTx2G9/6y2mH68CrNMM4XadESb0SGTEirEkIx9ftPfSMEULINDQj4wAAleYWLiu6sSRKiAh/H2hGxiH2s+5vm9sGdta3N/kUy1S812/LMvt+E8gSdGdZhznNLGtroKCxA7HUaBvfjq2XFN1wgYvRBrP23x7Yko3nPqmyySxJeqXQPK4uLti4v8jgXn26O9/GKXNuxnZPns+dVv3zZgagmnsGsPfDCvaZrmzqNLtTP5tAsz3OZnDWPDJX9OuSpNBARAX6QtE3pPO9ojolcrJjeDswPcNj2PxuiUXyT9/wKIpl3Duo030nc2FodAJZsSK09A6xkwMuK7pRJFPipY3p2Hm4nH1G7D3QyvdGz/4t2Zzfp2eMEELuGp24jR/8vdJg/eUj21db/bfNaQM769ubxpxp4G5LOkPQ2NlnWVuaq60TQExnbLTNHHw7tqZGCSFTa1BUx13AaP9tVqwINR19FkmPOVSaYdR29mP9Wyfx2Htl2FdRh8feK8P6t05CpRm22u86utL6Ds57VdbQYaMUEcB5d0/WP+/3H8/Bc59U4cmjX+k803FCf86/N1ZGzbSctFT5amnOmkfmAtPB0K5Ldh0ux/uP5xh8l7neXB2YrFgRyhr4Z3OYq6pZjSVR3Btj0n0n1qTSDOPoRTkqmzuxNS0exc/cj+c+qcIPj53D25UyPHHkLJ77pAoH9AKuxspkW+Mr26+09SAzRmTwfXrGCCHkrrNy7j7kWXnnrI7L1Dd7P6zA0Ytyzn68OW1gvje0ingG4Z1BBkcdZ+zz+cTYLGtiPgoaOxBjo23mYHZs1ZYSEYTk0EBUNquNNpiZv5WK/HFZ0W2R9JhKpRnGT/5RjZO17VQImMnYSCOxHb5ncb7vnqx93lmxIjR1D3I+09eUvWZ36mdaTlqqfLU0Z80jc4Gvg9HcM6iT75jr3d/fz9mBkYr8ca5ZzfkbM8k/f/u6GfeEBtJ9J3NKdxBFhverG1B4k7u9dbOjT+cZsedAK1/ZfraxE2v0nmd6xgghRBdf+4bvc1NwDdpzTQAzpw1cUs/d3irmqQOcQY4kjPP65cSH2ihFc4diH5ZFy1M4kDxpGPZV1Bl+bmZjndmxtUimRFGdEqlRQiSHBmLn4fJpG8zM315t70VTzwDerpTNOj2mKpYp4eICo8FqeqWQW0aMCPsqDO+Vo480JiYm2joJs6K9e/LpunbkJ0bY9e7JlqJ93r4e7vjsegvn90rqVdi2XIJKrYbpdGXUTMtJS5WvluZoO2w7Er4ORmlDB/68eQVeL6vRud6tg4NYkxSLlIggnUDa5CSQmxDOWcbOJP/kScOw83A5DmzJxs2OPlxSdCM1SoiCpAi672RWjG3wqT8jVyryx4XWLs7vXlJ0QyryR2Wz2u4DrXxl+9KoYDywMBqpUUIqWwkhTismJsbov/O1b/QH3cxh6lrF5rSB52tfdzaCfT3wp4czcU3Zi/MtXVi+IASLwoMQ7ONh66RZHeWHu4RC7rcXzUFB4zli6hq82t97cGEk0hZMvfZaJFPhuTX3GnRWZ9pYD/P3waNLJXjgnihUtXThw0uN+N230pCbEAZXF+DoRTlvWpmdKFWaYaREBEHg6Q6pyB8ytQaDo+PIloQa/L2Hx+wLpyKZCjK1BlvT4jn/3dbBHXu2UhLKea9WSsS2TtqMKHoHcapOyW7qV5AYjqgg/s6wPWN2T04PnIREEmfj1MycueuMM+cNAB0Dw7wV+7cWRyM6yA/qgVuIDvLFfZHBRo/LzEowt5yc6d9ZAt+1U/QN4VRtO8rlHdi4eAF+s2EphL5eVk+PMxgYGTPaoFwcEYQ3Hsky+De+DszE7UlsXSaBiwsgU2tQ0TQVTNOvD/MTw6fdMG+NNBxCX0+se7MQmTFTG5CdbezApvuMd+z00dr/RJtKM4xqjTte1lo3nskPfcOjBq/wGmtv5cSHob1vCIe3rbL7QCtf2Z4SEQw3VxcIfTyRHiOC0McTri6mPTf0bBFC5tJM4gjTlU3abcxsST8KkiI4NwnLT+QuQ/OkM+93m7NWMdNfmG5iWE58GGc6nWFWLR+xnw9Gx28DAJLEAfBwc0VssABiv/lfXzGxD/384Kixj5mw5MaQFDSeA6ZusKT/vc2pcToLeH9+Q4Ej21ahuXcQJTKVRWZFBPp4Ym1SBNYmRbBpWPemaZtBhfn74PhTBWyFs2dFEgoSw/GTf5zH0UtNOn//8XbDNSLNxcwWef6BpTYL7jgqH3c3fLRrDc40qHBW3omnVyRidXwYXF1dbJ00syl6B7Hh7bu7t79dObWw/fHd+Q4bOAaA7u5uSCSOuSnBbDeR42vorY4PhaxTg/b+IVS3dCFjUoR7w4OMHGnmM3P1/26VRISC5Kg52dST69od353Pnc+fKqCdf2eJWero52tTZtTB0O/AdA4Mo6l3EPcnR6JMrsITGVL85XsrEejtgR2Hy3HqzhIV+yrqUPrsep0NZbieFUvMLrfXjR2JbRjLDwDwk39UIytOtyNV0aTmbW/dn2zarHd7CK5qv11XLFMhI0aEnPhQ+Ht5YMdfy9jnE4BJzyc9W4SQuTTTOIKxskmht0mYsTamqwvwp4czcbmth33zaUlkMGbThbTG233BPh6c6eSbVWsP9ZO1tfcNoalnEJfaenBZ0c3ul+Hq4oKIed6X8HR15cwPnm7OsTqvpTeGpKDxHDD1FQzt73FtNKfoG8Kq107gxJ61nDOg5jKtwFRm5KpwXtqYzgaNmb8/29yFuNDgWaWNmS2i/9puXmI48uZhQW9Jrq4u2Ph2ETvT+M9f1eEPJTfw6e58WyfNbKd41iE9LVNi2/IEG6XKuZlTbnDha+i5ubpg798qDMqY6So8U2clGPu7mpqaOSlTuK6dwNOdP5/XKbFtOffsP2KaYpkS71+QY8/KJLM6GHx6hsfw9IcVBg2zo9tX6wSksmJFuNTWo3Nfs2KnZhJfbe81eKNnJnlY+xxn80yS+cVYfhD6eOL9C3LszJAaBIhfOHUFx58qQLn8/2fvzeOiutL08acAWYqloKgFqtiKTVxQdpBFEERjNtMxUYlLXBPTY2am05+ZtjPdM/37dibp7kzb02knscdEbY3tkm4nmyYGF5RFQAF3BQqqWKqgFopil01+fxT3Usu9RRWLUljPP4nFqXvPvXXOe97znvd9HqXVBxgzKbhKVNetjx07mD1ZJRl3fgKm88Y+t+yw4+nFVJR5W4uJxBHMtQOACzT6QFQ+5sXaVrz2eRFZ+XT0ej12N6pxfFPGhG3edFT3cT3c8GgE6B0chouTA4J8PBDG8aTMqiXWJ2Jf/FHhA3xw4c6sO/zr7B80OAgFQPqn/k+wX48Fo4ca83hemM9nYWRk5Mn25zFjqn2VpyPU/oRhqcCSfjtzQnN/v9lA+flUgK6vVc0aE5XTjoeD0PQOGLSjEkgBgCuTVFgFxrJF/uvFeHxxQ4oIrhd+90I81seKZpWBnw4US5TYuzoRG+JD4erkiA3xodi7OhFXJcon3TWrUUzT5yIbfJbZgsmKyHE93BDG8UQ4xxPJwVyE+LjD18MV56rl0y56Safe3NPTM2X3MAeqdxfO8TQzzu0CDpMF8c7zjhbi4dAj8D1ckRzEQYA3k3aDYQ5F9dQKzcUSlcFaqL+uC1lM5O/KJW1yQ3s3pXL4RDFThR3teDIwNx4atb0AgC3Hi7F3dSL2vZyEHcnhOLB2CY5uSIeQxcTamBB88moK1saEWOxvmduwPE7Q2Xjjd2KpwLN9btlhx9MHwo789nqrgR2ha2dsbyaDicQRzLUDzO2lTK9BXLesUY1jlRJSZ2QyNo/Y0x/flIE3UiJwfFPGlARs+Z5uWB7pj2U8Jyw3owNR1qCi3BdPRtxvJqKoXknrn852nKiSws/LDU3aXhyvkqBJ2ws/LzecrJI+6a49Fky1r2LPNH4MsLQEQ7/dk+LufXlREPoGh0hORgJbk8MpM0YO56Uhd3++wTX0BVIILJ0i/pjJZl89rZjLY2Hr8WKTk8ZDeWlPsFcTQ5qIRynAmC56ejmrnjSmqszsyPU6MMCA6xxHrI0JQVXz9IpemsuEMycYNZWgendidRfeXBJJM87tNDyTRWaY7p3LOnoNeIM3JYROaMNiTllcfy0k1vWUYA7+9HIStp0osTqL3lLMVGFHO54MiDFvjKxwPnzcdDzpxvMh0Js5qbFoDWflVIAqA9CcjTeeI2J1F97Jmo+HQ8MmPrD+vLHPLTvseLpgaZn3dFVXTCSOYK4dYG4vZepjTpfNe5J7+kAfj1mzLzaHa030/um25PDH3JvHi1cWBePlQwUm8/bU65lPuGePB1M9b6ct03h4eBg///nPsX79euTl5aGmpsbg7xcvXsSaNWuwbt06nDp1arq6MSNAlGDog6oEQ79daYMaUTyWRd+bDPRPRI9XShDi4w4/TzdsiA9F/q5cCFlMbIgT4XqjmvKkiiqrOD7QF2J1l0GfU4N8p6zPdliP2zQll3da2qf0PoquPpyvluNQmRjnq+VTmjlHICeCej5lT0KQwY7JwVIbZw4F4lb8tVKKY5USfFYmhrebM+ICqO3GVG3O6TLhLolbIX3kblWmyESzS6jeXc/AEP04twcmJo34QF+Dd1vWqMatlnYEsz0mdL3MMOrfJCuMjxGMlcM1aXuxKkqAf8lagKpmzbhZmJPJWJqKOWnH7IHxmAd04yExkIMQX48pnQ8EloVTj7WpDq529A3gfLWcMgPQXLZzbqQ/+dxCFhO/XhWLvsFhMuuM8IGN5419btlhx9MFS6smpqu6YiJxBHPtACBHz/7pt6XyMZ+0zbPGFyL2oQXKIbP7UPp9sZayva2C1j+lWZ9nE643tVH+xpVNbU+oR48XUz1vpy3T+NKlSwCAEydOoKysDH/4wx/wySefAAAGBwfxwQcf4G9/+xvc3NyQl5eH7OxscDgcc5e0WVgqamPcrmdgcMJccpaA7kR07+pE5O7PJ09HR0ZG8MfC+5TXMM4qjvb3xnPzA+Dt5mzQZ4WkFjDiNH4aCOhnCkqk1GUoJRLVlPEAq7r7UKfuQo26CzdlGvQNscF0doIDA1Oq0ir0dseZHdm4KG5FkUSJdBEP2eF+Ni2CZ+uYCuEu46y0lw8VoOAfVkyY88wS+2IuE65vcBjHKiUWZYpMJrvE3Ls7szMHF2tbUSRRIF3ER3aEn10EbwpwsEyMvasTSV78GCEbc3ksHCoT44Pn46y+Hp2yeHIIF4E+7kgN4eGGTIOfZM3Hjw4VYLHAB65OjpTXIrIwJ5uxNBVz0o7ZA7oxf61JjSpZ+5TOBwLTwVmpD0VXHy7WtqJA3IrFQjbWxoiw5Xgx2Exncp6Ml+1MzJEIrhdl1tn5t3LBcp1jwjdun1t22PH0wNKqiemqrphoHMGcbRKymBb7mE/S5lnjC5nuQx/R7kPp98XKWaUbkibiUq7DqSFTUwE+k3Glnno+Xq5TYH2cbQrPWwP9eXuxtgXZEf6TmrfTFjRevnw5srKyAAByuRxeXl7k3+rq6hAUFAQWiwUAiI+Px7Vr17Bq1arp6s4Th6UlGFTtLC3dsLacmu5ElMgeLmtUo6hegWuNbUgP5eHTUjEp2kOU7i2L8APH3RXuzk54ZXEwEgJ9wXJzNulz8+CgwX1mkkDK04C0EC4OlNaa/H5pU0jp0N5HTbZ/6vXMKQ0aA7rA8aaEMKxbFAhnZ+cpvbYdE8Nky8yMy2hkHb3I+p8fcOGtXBRLlLgqVSFGyEaOGY4yApbaF+N7EvNjZZQA/3XpHvn5eMIBkxUboHt3QhYTmxJCZ5UDOxMQK/QxKMM/er0eDAawd3XChK5HBPjP3GtGRVMbGXR789RV7MmJRsfDAexcEoGK0ayHpCAOXo0JwZ1WrUEJPDCWhVkgboW7sxM2xotIe22tgIWdzskOAsZjvkqmQWmDCrvTowDAZD6UjYocTQbTGWgwtvEADCjTiHnyCg3lGjHPiDlyskpCacNvyDSU88c+t+yw4+nBdNBDWIvJxBHoQPiYqyM5BnGayV53KmGNf23NPpT4rajiGrMJ5Q1q7F2dCG1fP7R9A/B2c4a3mwuuNbYhyGdy1UQzHUtDeZS/8dKnqCqImLeJrBGIRCGTuta0cho7OTnhZz/7GfLz8/HRRx+Rn3d3d8PT05P8t7u7O7q7u8e93p07d6aln9aioqLCqvZz5syBl18gihvaUChVISOEi7RgX3S2NmHQKJg6meuuni+Eh7YHF2tbUSxRIk3Ew7JwPrpbm9Db22vwXTabjUtiaiJs/ezh601t4Hi4IDfSH4W7V+KGvB03ZRpsiA/Fhy/Ew8/TFS6OjvhJ1nzUqTtx+lYjBF6umOvrjs7WJjg7O8PFxQXu7u7ke3N3d0dFlxNp1PUn84VqGeI8hqZdhCo+Pn5ar2+MJzl22Ww2YgPYKNy9Ei1dfejoG8CLCwPh7+kGL9c5kEgk0GiouWMthb+/P4qaeigX9qJ6JTwGu9HS0jKpexBgMpnw8AvEJbFi3HFua7DEtsyUsWupXZszZw64ASGQaPtQKFEiwMuNbEfYh/7+fiQL+San4WymM5q0vfjfq7UI53iiRKrEqgiewXsy7sdSEQ8JQRyEsD2wWOBjEHAzti9LgsMQ7e8NTe8ADuel4YGyAzdlGvQODOO9Z2Ox5XgxZB26MXWxtgWJrBGTuWLOltJ9xxJM17oxUVi77lFhpozd5MBQRPt7o6xRjeaOXhzOS0OtqhOHyusgVnYgLdgXQ51tcHR0RH9/v8F6RPUeiDXtelMb4gPYqGjWYPfpcgDAtqRwRPt745a8HTWqTuTvysUDZQf+drMBmxPC8OtVunEW6M1EVrgfMoLZaOvqRSSPhQ3xoeR6S7S7RDOmpuL3mQ7Mln7NlLE7URBjvrmjF+89G0vaulpVEdisSQAAIABJREFUJzJCeciJ8MOF2lYwGMAz8wTYnBiKjCA2bt26NSk7xGQykRkaDH8vNxTXK/FwcNhkvTZn6/TXCGIeGvuQBPSTHqqaNUgP4ULZ/ZCkmyDmEJvpjCQBixwD02XDpxoTnUuPe+wCM3feTxVs4fkm28eZ8IyPc+yas7mE/TQORurbEQBICaJulyxkmbxPa/Yy07HvmSk+pru7u4mNJ2CNbbZ2H5oaHEYZ1wj0dKbcY1SreyDv6oPA0w1zOe7jvqeZMHbZbDauN7djxVwBHBgMACD/e72pDXFej2bE2jYd8Pf3R1Iwh/I35nm6Qi6XT1lcYqbD19cXHh4ekEqlaGszT81hbtwyRkZGRmj/OkVQqVRYu3Ytzpw5AyaTiQcPHuD3v/89Dhw4AAB4//33ERcXh2eeeYby+/39/bhz5w4WLlwIFxeX6e6uWVRUVFhtCOgyIiabVdvRN4C3T5fjWKUEAFD77ksGhN/Efc7szKEsNzlZJcFrnxeZfL7v5SQy0+RwXipWRgkxMjJC+Qx/ejkJbk6OGBh+RE7KxUI2YgQ+CPX1xOU6XXl4RggHy6OE5PPu+qIUZ+/LDAI1i4VsLAnhIlZoKmZiq5gpY1eq6Ya8o9fkNxKwmAiZJG8hgV1fXMWBUlNRhZ0pEdj/asqU3APQZaA+d+CCxePcVjAR2zKdGG/sWmrXZB29+PZuMyqb27BYyEYUj4VPS2vw4YsJKKpXGNBHODB05X1EVlqaiIfK5jacvSejzVIz7oeQxcSJTRmob+tGYb2CvOeW48V4bp4Qn+iNxZbOPkjauuDDdEHe0Ssmz0JQ9QDA8U0ZtBkWdLbU3HfGw3StGxPBTBub48ESu6vo6qMsSyfGT0N7Dy7XGVKbmHsPVTINrkpVpH0lxtyqKAH6BodR19aFT9elmoyznAg/HFi7BJfrFCiRqpAZxkdqCBc7T13FBT2FY2I8Krv7sD7WsKxupv4+9n5Zj+n0GRSjh8Zrj5jauu/eWI6egUGUNahRWK9AUhAHWWF+8HF3xq++v4l9RdUAdIf8WeF++GnmfLDdx++fJes1la3LifDDobw0kzVC34ekyujbkRyOvsFh/GLFIqz9y2XKjDNjuglgemz4VGImj1kCxNgFnkyg+nFhKn4Lx58enaLe0GP495sm/F1bGG9TBUttLuEzmCvzVnX3oVbVhZvydpLqZ7HABxFcT5NMV2v2MtOx75kJPqaiqw+35e1o0vYi0JuJaIEPrW02zhalss3W7EMtfX7iNzXeP1P9po8blozdenUXWrv6TPrv5+mGUI4n5XdmC27J27H5r0Umv/GR19KxSOBj5puzB7KOXhSIW1FYr0RGKA9Z4ROnOZy2TOMvv/wSCoUCb775Jtzc3MBgMODgoNPdCwsLQ0NDA7RaLZhMJq5fv47t27dPV1eeOIjSCmODZ02ZqT7GuDpbkRLCxY/T5kLa3o1iiZLyhO1ibStleTMd39xcHgtljWodP/G8ALDdXWhL9x4oOpAV7odXKZzzk5uXIozjhX/5ptKkPHxZOB9rY0LwzlfXzBpsO+/x1GBg6BF1yc7mqVMQzQzzo1ysp5ps/2JtC7V4WW0rNtpwGX9QUNCT7oJVsKRkTNHVR+nofrltmcHn+vbBuPxNyGLihQWBFvfjcF4a5Vg/nJcGdc9Dg+/mV8vx56s1eD0xzGzWWu/gkFkezslyd1LZubIGlcG6MY/Pgo+bMxrbe+w2cApAV5ZuPH70xyYdFF19lHyoh/PSUK3sIOkvKihEOfbkRGP1wUuU2gL6QePbLVqI1Z14bp7Q5P4ENZUlGzA7nl7wPd1woUZOaeu6+gcNgqyEyvihvDQkBnJwZXcIHo2M4HaLFjdlGnx7rxkrowTjjq8LNdTrtb5fSrWW7MmJpl0jCB+SKmgcI2RD2d1HK958rVGNDfGW+8N2cTs77LADsKzM+2JtK177vAjvrYrBupgQlDWqkbHvHGWA0xLbOJG2loKwu9uTw8kKqc/KxBOOTVgLS3VwsiP8KLNFI7imAU9r9qEXa6ljM5fErQYH84+TenE6MPRoZNr3/zMVN2TUgtM35ZqnImgsNzpsIvyosztzIJhA4HjagsYrVqzAz3/+c2zYsAFDQ0N49913kZ+fj97eXqxbtw579uzB9u3bMTIygjVr1oDPn72OWZWsnSxJ1S81za+Wmxhm4+BBeigfd1vawfV0w215O6IFPpSb0xObl+K/L98DFYokCgR5M9Ha1WcQdDXmm1saxkdsABuHy+twemsmEgI5OFctx8PBIVLozhia3n6USFWUk7JYokL/0BDJMacfUMqNFOCLmw1mg0523uOpQ5FEQV2yI1Eikmeex8pS0IlBLQufWn6oYgm1eEGxRGmTQWNZRy8u1LSMlpx1IifS3yYypukEPy7UtiDIm4lILosyGODu7ERrM4ydNf13kyriYVm4H9ydHeDrPjb/9fuREszBA2UH5bXF6k68ssgwMF8sUSKc44kKGiXdG3IN9r6UABHbw6zNmQx3p3EGCWHnjryWjvxduRCrO1HZrIHASxcEFKs6IWAxJzVG7IdxY7B0/FyuU2DRaHBW1d2H9r5BFNUroOp+iEAfD9oxlxjEwe7T5dgYL0KhkSiHufvpawsQqGrW6Cp8iqqxLTkcFU1tuFynQIaIA1ZHLySabpMNWHf/IH538S7SRDybsS12TA305/mz8wRID+XjSr3SpN0LCwJwvZFaZbxUqsLR6/X4rxfj8fbpcrLNp2XicQ/5n4kSolhqej9A55MQwQ7jtWS8ebg2JoQ2yJsV7ge3OQ744Dx1ue6VegVl0NiBAXy8JtkkQ9DJQWejL9a2oFiiQmoIF9ECHzS1dyM5mGtgN+121Q47Zj80Gg1EImoRrbq2btS++xIK6xU4eUOKVBEXte++hJNVUpO2xZLxbeNE2hruKejXff2+lkhUSBNxsSdnIWVfrYGl97c0GPtoBJTtqA7yl4aZ0txF+3sjI9Q0xnRTrqGMzfxQLTfYhxTV0+yf65WI5E7N/nk68Tj2/zMV9GKHKmxKCHvMvXn8KKij/u2vTFAIcNqCxkwmE3/84x9p/56dnY3s7Ozpuv2MwrbkcNoyOX3QBUlPb83Cy4cK4O7shHey5mOxwAdJQRz0Dw2TJ2OFdQrkRgooT9jSQnj4vEKCg+WmTj7f0w3LI/xwQ6bBnwofAADCOZ4IYLmTgYyUYA6lkw0ASUEcnLzRQPm38kY1/D3dAIxtfgkFWba7C6pk1Dw6RJvJikvZMYZymqB/eaMa25LDp+Qej0tdN3VU1M/kc5HtKcEaBwyJjbgtUG3QZnoJ2Hjnqwosi/BDW0+/yd+3J4fjSh01R1mBWEE6a3Tv5v+2ZmHoUR85rvT7Ec7xxE0au1LVrMEbSyINPksT8fDnqzW09i0nwh8pwZaNq4mIhGh6+vHt3WYkBXHwVmokmelxu0WLu61anL3fjL9WSgEYZqA+d+DChMeI/TDOEJaOn0u1rUhM4EPRpcuO2V9SAwYDeGVxMM7ca6b8TlWzBp4ucwAAYnWXyTgzdz99bQECsQFs/PSrCrz3bKyBT3G7pR3xgVzKjdUXr2dCyGLiz1drsPfyPZuwLXZMHsbzfG1MCP75/64hhUIx/f1nY/HHwvuU17kh02BllAA35O1WH/JviBPhmSghPqXwS9P1RHiN15Lx5uHamBDS3/ihWo6ieiUSAn0RH+CLPd9Wgu/pinQRD5+WUd2XOkHlfE0rNh4rMhAD/JwBHNuYgZdoKgFW/vk8aTftdtUOO+zYGB+KFz+7aOK3fr3dNN6RZoWNom9rKGZuzZ7Cmr5aCmvuTwRjjTN9jYOx1sQCKpp0om/Vyg7y8G8uj4XK5jaT+29JCsd6CqqmE5uXGrR7HPvn6YSt938ySKOJF6QZzZvZCtq99gSDxg6T7ZAd44OqJPV2ixaVzYbZbXRZeYX1Cmh6B/Cnl5MwMPQI/5w5H2kiLtzmOGFTQuhoNloXovgsRPt7G3w/2t8b6aE8HCwXk/e9XGeY1ZFf04LfXryLskY1yhrVqGvrQkWzYZ+zwvjYECdCSjAHG+N1/4329wbXwxVLQ6knX0YoD+eq5eTmFzBUkF1GQ1uQKuKi++EgbSbjpVrqSWAHPZZSnLICmPLSSyJw9smrKeTGbqoRF8CmHOexQt8pv9d0w1zJ2UwHkemlD316mwJxq4lDCwBsN2ckBnIor5kUxMGdFg0UXX24SkO3U1ivREP7mFgG0Y+UYA7COJ6ID6QeB5kU9iYr3A89A0OI4lHbzukuTZZ19OKZKAHSRFxUNmuQNpqVEh/gi8t1CjDAMGhPZKAy5zhNeIyYc8CfRuiPY7G6C4tpOPWXRfiBwWCgpaMXfp5uSA/lwdXJEQEsJpKCqMdzYhCHHJulDWqTcebi5EgZxAOA+EBfuM5xNFhvl0f6g+fpapKFuTJKQEtPVSpVwdnRARviQ7F3dSJKaTIv7Jhd0J/nRObusUoJkoI42JOzECnBHPJvNcpOJNDY5LgANhiA2SCu8f0IHKuUICHQl8a2jvmC+nNwe3I4frQwkHZe6PuQfE83PDdPCF93Fxwqr0Pif5/Ft/eaUd6oRk4E9fqUPfp9RVcfTlZJsOuLUpyskiCKz4KQxdStXXUKvPdsLN7Jmk+7RhN2mLCbdrtqhx120NsBU38tJ9LfrI3SB52/rW9HAev2FNb01VJYc39CGHhDfCgpVpq/Kxc1qk6DdtbEAs7elyN3fz6OXq9H3+Awjl6vR+7+fJy9JzNpW9lETV1Q1Wy41hm/YwJTTb04XXhc+/+ZiGU0foCt/HaTRSLN3oRuzzIepi3T2I4x0DmNl/Wy6gBqwxjO8USJRIXDeWnYdqIEe1cnUtJTHN+0FHu+rcTe1YmQarpR3qhGWggXaaE8rD9SSLZNCeagp3/I4B7G9yXKtYUsJilU95drdfi33GhdOWy9Am8uiURmGB+dDwex0N+HshwkyMcdZY1qbEoIxdHr9QZBGEVXH2IDfCm/J2S548d/L8PKKAHlCdEyigXVDvOgL9mxvdM2HzcXyjJSHzfnJ901q2FNydlMg35m+YXaFsQIdCf6W44XAwBKG9Q4uD7VZNzdatFiXWwI5XhcEsLF9hMl6B0cwqG8NPJv+pkIxVIlgn3cDfpxZmcOWQ6XFyuymCbl84p6nN6aBWlbN05sXorrTW0orlciJYSD7FDetGeIsdzm4MXPxrLYiKyM01uzUCBW4FMK+0ccwk10jJhzwJ/GCg7jConloxs5Km7TgYFBuA2P4OXDY4Kzd1q1+Gyd6TiP9vdGmoiL8gY13lwSiX1rkiHX9uCbHdkolSoRzmWRlFNU3312nhAuTg4okajwxpIIZITy8YuzVfj3FYvw55Iak+e41kSdTVIkUaJvcBjHKiUkR60dsx/68zyc44kGTTfyd+XiepMabT39eGNJBPatScbDwWH85Vod/jV7AeU4zJ0rwKZjRbTVGIQ/RkUxEc7xxPkaOb7evgwFYgWKpUqkhfCQHsrDsYp6/Hx5NIBRruW3lqNn4BEuiVvx3QM53smabxHHMNvdFf+0dB5ihGwTgaozO3NwsbYVRRIF0kV8ZEfoBGDosoIJKrXDeWl456trWCzwgauTI+VzE3aYsJt2u2qHHU8H2Gx6sXZ6n15pUg4vZDFpbZQxCF+1RKJCkUSJdBEPqSKugR01f396yguTTF+KvloKa+6/LSkCa4+MX4VNV9VIFQvIDNO1JZLgyM8pgoRX6qlt9pU6BfL0sjAfF/XidCF2NNHKuP8xwtnP6ftDtRzf7sjGJXErOW+Whfshv1qOrckRT7p7044MEY/yt6dK6LIEsyZoPJO5xOgMXmY4H+er5fjbrUa8siiINHb6EKu78G/Lo/FA2QF3ZydanrebMg12pISjSKLAqightiWHo7xBhYj3vwQAgwBwWaMKTGdH8h0Z90+s7sK2pHCsixWRQnX5u3KxTq+M49PSMaqLwjoF9q5OHFWWbUVSEBcxQh/8vx9u6bKsQrjwcHHCirkCgzI+Te8ATm1eCk1vP1q7+uDt5gxvNxdsOV4MWUcvfr482i5MMkVwZDAoA62ODMb4X55huFDbgq0nSgzKSHc3qnE4L9XmOIqsKU+biSAyy4O8mXjnqwoT7nNV90N8vT0b3z+QoaKpjSwV83SZQzkeNb39YDCAxQIftHb24vn5AfjlikXQ9g2gokmN5GAuciL80Ds4TN7DWGxvc2IY5bUfjZj2f6EfC1JNDySabpy6KcWz8wKwOyMKmt5+9KjkgO/08n0ViKn5pkokKjw7T4idp66afCdGyMbR6/V4K20u5TXHWwutccCfFhhTi1DR7DgwgH/7/hZSQrgGv1lpgxptvf0GY25llADR/j7wcHHClhMlAAhx2Ez8/WYD1saE4NnRMUuszWJ1J6qaNUgP5WFpGB/bTpSQQnjEYcLe1Ym4IWvH9pQI3GnVorRBN9/OPZDjrdS5lPRUxHgBdGPrTks7YmmyqWcyZrKPNxOhP8/F6i7syYlG3tErJoHSL7ctwyuLglBYrzQp600M4kDe0YsFfG/E0BxuEP7YsnA+bre0IzGQg40JoShvVOOmTAMPlzmQd/ThTosWsQI2CuuV2HqiBMc3ZZDXUXT1oX/okUGp9HcP5DixKQON2h5cFivM0l0R83eZ0B1c7liGspDFxKaEUJNgBV2GnVjdie3J4aSf7e7sRBssJ+bVjpQIXGtQUfrvgPV21T7O7bBjZkJfhH6ZFpRz01IaCQJ0NsoYhK/q4eKEpEBfeLg4QarpwUKjLEpr9hS5kf5YFysy4fRt7zWllbMUxP2NA9FUz29c0QyMVWHr01NYI1IaRxMgpfJ5LPWFH41Q891T7SlmIrxcnCn77+Vie4lW1iI9lI/nP70I5hwnhHM88UlxDX5fcM/kYGK2wsnBAR+vScbA8DAYDAZGRkbg7OgIJ4eJxX5mRdB4pnOJ0Rm8IG93ZOw7B0DX58LdK03a9QwMISHQF1/daTLL81ZQp0BSkC/CfD3h4+YMVXcfRL4e5PWIzImxdzQW9NXvn5DFxK9XxSLU1wPnHshJviFzoiRZ4X5YsT8ff92YgZwIP1xrUuPPJTX4UXQgMsP8wMAIloeOCYYQDruQxYSzkwOU3Q9R1qBGfKAvvN1cyOsfLhfj4LpUlDWqcVPejuxp4sh9GpBfM3sCrSWjwjrGJ8nFkzgdf1LIoTnBzrax0hmRryd6Bw0rGKL9vTGf741z1XIcLq8jxx2DAfzz0nmID/RFZ/8gXJwc4O3qjBEAj0ZGsCE+FDdlGrR09uHjV5JxqbYVhfUKLBayEcVj4e3T5QbZksZl2Dfl7Xj7dLnJWP/zqyl4OToQbHdX8rvxgRw8d+AC3J11DsVvL95Bz8AQzuzMQauYmqfWWpgTBTGXlfLcfCFyIvzIwCHxTufyWOgdHKIsYbRkLbTGAX9aQcVPfbJKAgaDukw/72ghvtq+DFF8LyyL8MO1RjV+X3APcQFs5O/KxZ5vK/Gb5+NQ1qBC/9Aj5OuVcMo6epG7Px/JQRx8+GI8XJ0ccLG21eB3B8ZK4jsfDuJOixabE8Lw61Wx2HK8GKUNavxhdQLl70rQxRCwRQGQme7jzUQYz3M6mrTSBhWeny/ET7+qwKdlYiQHcZAY6ItYIZsM/C4N48Pfyw1/fjUFlc0aSn8sPZQPbd8gqmQaVDS1IYrHwm8u3DE48Mjdnw/A0N4ouvrw55IaBLPdDfon6+hFxr5z+HZHNj55NcXssxoEc8K7yWCOsRBgfCAHTe09tNQ+lc0a/FPGPHw0yu9c2qDGr1fF0s6r3sEhhLA9kPLR95T+u7V21dw4t8MOO54cTOemqUYQYM6nn9yhPOGrGl/3zM4cg3Y5NJVSVP7ikhAunvv0ouk1d0yc0zgnwh+Fu1fihrydDER/+EI8gn08TNrSVWEXGFVh8z3dcGZHNi7qZYtm0xymHSwTU3IaHywX47fPxxu0tdQXPl8jx5bjpvvnv+Sl2YT4+mxKtLIW+n6Pvh9sfDAxW3HmfjNeig7CpdpWcg+6LMIPX95uxNsZ86y+3qwIGs90wTQqgbAYIRvLP8k3aLf+aCHOv5WLGzIN2S5NxINU042lYXx8XFxNm/WwWOCDT0vFKGtUI9rfGx+vSUYYxxPn3lyOxvYe3FOYV6Im+hfB9cLPvqnAvjXJpFDdyijBuKIk+btyoentxwq9RZXYLJx6PROO/Z0AWzdBpRodHylBuWHcnigRDGF7YPfpcgDAzpSIGfFb2ioIBVHTQKvtBRCWhvlRZtRl0fBOzWTcbdXi9NYsFNUrDUp37yk6IPR2H/8CMwT6Nk7a1o3McD4iOF5gu7vgcp3CYNxtjBfhfE0L1h8txHurYrByrgDf3muGgMXEP+gJeRH2YP8rKcivkeNYRT16Boawd3UiiiVK0h4QZcEpwRxsTghF5SgfmfFYv97UhoX+3kjRCxoTohn6mRZRo6IZ0b6T58geTxSELitkscAH//h/5dj/agou1LSgslmDVBEXC/19UK/upBUzs2QtfFyClbMNl8QKSjE7QPc7Vys7kCbi4QWKTRghZnu7RYuN8SLUt3WZXKOsUY0j1+oQF8Amx3BKMAcrowQAdNnEN2QabE4Mw798XUGu9V9tX4ZqhRYcd1f86eUkPFB0oKK5DWkhPAi93Um6GAK2mFE+0328mQj9ed7TP4QiiXmatKxwP3xapvMh33s2Frv+Vmpit/auTkSVTIO3UiMRGzBmH42rPQAY+HK3W7ToHxrGV9uWwW2OIxb6exskEfA9XVEioeba/upOI1bNExrcSz8TNz2Uj63Hi8lDFiKYc2ZnjkGf1saEkAeEdH50VjgfDAaQqmeXtxwvxuG8NFQrO3BT3o70UB4W+Hnjbks79q5OJOcXlf9urV01N84XuduOP2CHHbMNlq5BQm93nNmRjUt1ChTVK5EeysOyMP6k/XlCNM74/vq+MDBGeVEgbkVhvRIZoTxkhVNTXlykeaaCOgWtjRwP7X39lIK8n2/IgNDbsA8ZoTzKTN+lYRTifhTZolR+8EJ/b+Tuz8d/PhuDdbEhKG9UI3d/Pv5CQcvlwKDOIDZOwiyWUO+fiyRKmwgaE8kpVP23tf2/tbCUHna2YvXCIIM9yWTFLmeFEJ4tCKYZC4TtLbgHWUevQRtZRy/+UHDPoJ2QxURSMBfLI/3NCjbpZxPdbtHibqsWt1u0mOPAwPCjEZTQZLQR74joX42yA3tyovHeD7ewJISL/F25WODnTUuaTWxAuR6utEI891q16Hf1wsGyWuz64ioCvZmoeOc51KioA9nVyg68FhdCPlNZoxruLubPN4xFTRRdfWbbP21IpRGVSRNRfz6TEU8nhBdgeyXXp283IeL9L1FYryRLdyPe/xKnbzU+6a5ZDb6nGzLD+Ahmu+NQeR3ya+TQ9PSbCF4SYmNCFhPJwVzcU3TAxckB1TT2QKzuwiuLg/FO1nzsXZ2IZm0PpG3dZJtn5wlIMQ1t3wBSacZ0aggXtUpDgY1AHw+889U1vH26HJ+WifH26XL85sJtLPL3QUnb8KTtyXiiIHRCKHN5LPy1UopzD+Qob2xDz8AQHj0agaanH8w5TvBwpraHlq6Fj0OwcrZhWTifUswO0GUXLY8UoLCOemNXVK8Ec47uNzMnthcjZKOiWUdvcWX3Sny6LhVCLybkHb14K3Uufpo1H4F6m8/bLVrcb9UiwNsdv7t0B1n/8wMOldehd2AY8/y88c5X1wz8DFvNKLcFH+9xwlJ/h5jnW5PDafkXCR+O4G00V1nW2qWjDauSabDri6s4XimBpK0Ll2iCD9XKDjw/PwD5u3LR0tmLb+81Q93zEACg6u5DqVSFi7WtaO8boFUzTxPx8NsLd3CySgJZRy82HSvCa58X4UBpLV77vAjPHbiAPTnRBt/R2dgWcs7pPxPdHCY4Kuf7eeOZKAH5d6ISoESqxG+fj8PG+FBUNWvwcXENcvfnk/OLyn+31q6aG+cuLi6Uf7PDDjumH9asQU6ODvDzcEVSEAd+Hq5wcqQPtcg6enHkWh3ePHUVR67VmcQFJnR/Bwb4o/fne7jSlqIX1VPHBei4fi1BRTOduFybSVs6kdT4AMOEDcKPLmtU41ilBGWNalpxvRWRAojffQn+Xm44WSWFv5cbxO++hNxIf5O2F2tbkbHvnIFoXsa+cybv2tb3z+k02kV0AnmzCcb7T/JzG0yemAimWuxyVmQa2yJHIx3/GUHWbpxNkR3hh7+9nokSqQqH8tJwr1WLwnolkoI4CGF7mGQTXW9qg5ODAy7WtuDy6KmhMcdQSjAHu9OjDL4n1fSgrXcAxyol+NUzi8nsqPxdueOWcai6H2JjvIi8PoFgtgfWHB4juz9QKsaenIVo66HmTbopb8eenGis+t8LlPcxhr10dXzQiS0t9Lc9Inxryo9mOgjbdbBcjIPlep/PYNtFB7p5eGZnjsHYK21Q48MX4nFiUwaZkaDLvtQFgqlEOZICffFw+BH8Pd0QF8BG98AYFYZx2R6drYoW+OChEYXGbXm7yYK6Jycaqw9emhJ7Mp4oiJDFxNmdOfj+gRxlDSpyLBP2/IZMA6azI/LidLxzp25IkSriQqzuQpAPE1wPw/7Y4lpoKyBKGfUzD2/INFgW4YeMUD46+wZwpZ5aWKZYqkQ4xxNljepxS94/r6jHL3IXoVnbY8RBKx4Vvc0grwXoNng7UiKwLjYEB0arjcoa1SioU+BwXhqatT0olihps2hsAfZxPYaJ+jvjleISmcnq7ocoa9T5h/p+HABcqVMiIcAXvzp3C7KOXnJM0okr3pBp8B8rFmHbyRKT/n68Jhn/8k0FNsSHoqxBRStgKmS5Y8vxMV7wvasTDahbiOB0chDHJIuKmCfG1G4Gc1iuQY6eeB4wloF2t1WLiuY2pARzscjfBwPDOi59d2eKHEo1AAAgAElEQVRHE/5+YPLj0dw47+9/OKlr22GHHROHpWuQsX0GQGufx6tE08d4MYOJ3N9aTRVL+NavSqkrRkqkKmxKNMxqPVReh72rE6Ht64e2b4DUNTpcXocPno8j21kjrjcw/Ag/OlRg8k6/oaDcIILDxhm4xuKltr5/XvYUU9Kl0wjBpdEcBMw2TLXY5awIGtsiR6M5sna6TcF3byxHjNAHyu5++Lg5Y1dqJOrUXSRPnD4SAn3h5+WKA6W1aO7oxTNRAjgyGKhsbsMbSyLx+YZ0lEhV+FPRfSQFcZAeygfX3QVpIi6OXq9HSjAHP1TLyT4Yl+gZ89kpuvrg78VEfVs3Saa/5XgxAr2ZuCU3PXksELfizSWR1ItwOB8tnX14bp7QohI/e+nq+JBreyhpEB4otDYnirTAz5vkACX4mcpG+ZlsDbZou+hANw8rm9tM6BDm8Vn4/sGYfRGru/DGkkhKUY5mbQ/2l9SQ5fgnNy/FPN4YF5Vx2R5hq/SDZXN5LNxr1SLD6GS9xMjBHY+/3Vp7YolTPsfRAf5ermSmg77zmhjEQYyQjR0nTWl8Tr2eaRI0nk3jaaaB7+mGLzeno1zegS9uSLFmcTBeixOB5eaM89VyhHO9kC7iYW1MCIWwzEP8vuA+eS39MVoiVSEjlIf4QF+s2H8eO1LCcVPejiZtD3XGjkwDFydH8rM0EQ/nq1sgYDEhfvclrDtSiIrmNsg6evHOV9fw6bpUnK9pIXnsjm/KsLl10T6uxzBRf4cICl+skeNKvYrWt7rTqkV5o9rAjyOy3xYLfPDr/Fsk7QRx77stWpOgLQCsihLgOo3Y0U15O0ZGgKQgDhwYOlEkwkcpkeq493QB42KD71EFiG/INAYHKQCQHsLDJyU1AGBCK6PPI/67F+JNMrGuSlXwYbog0Nsdjg4MsJkucHN2Qlf/ELge0zcezV23uebepK5thx12TByWznlr7LO5SjTjYGj8aFau8f3jjLJyrbk/UelGaHqI1V3oGZi4XgZgeXAbAFJDdBXM6p5+VDS1kbpGxtWC1gS3aSk3altNgtaW9tXW989XpSrKRKsyqQoBMbOb9oju2Usb1FhjQxSQEwW92OXEDqFnRdDYFjka6bIlz9e0gOPuQmn0uvoHsfmvxQYZdf5ebpQLyQI/b7g5O6GsUY38Xbn41fc3wWAALk6OSAz0xX98fxPHKiUAxjKYPl6TjEiuF+ICfPFwaBhVeryK4RxP/PK7KoyMmPIL051sHs5Lw4XaFlyVmmZklDaocTAvDXtyFqJA3EpmtET7e5Onl8spykmoYK5sx9Y2x9OFhf4+WH3wEtbFhGDd4hCUNarx8qECfLVt2ZPumtUgymj1T4eJ0lJbA2G77rRo0djejSAfDwO+R1sC3Tw8e0+GFxYEmgiLXa5TGJx+Zobx8ZJehi8wxgf756s1ZBVDsUSFlxYGYNcXpdiSGGZyXyIg8J+rYhArZOPI9Xr0Dg7h/7Zm4ZPiaoMMBuPsEf2MNOOT2YnYk/GEDolMk72rE3Grpd2k3ap5ApyvoXaCi+qVJkIOtrgWzlQouvpwW96OJm0vAr2ZiBb4oLO1CWtjFpmMA193V9yWtyNVxCWrcwDdGMoK98M/ZUTh1/m3yfZEQPfszmyki3jYeKwIn29MB5upU7NWd/fRjsPCOiX6h3QZj8aZmBviRDj7Rg4OltaC4+GKELYHXj5UYFDyaovron1cj2Ei/o7+WE4MZGN1dDCYRhQ35vy43P35BpnwIyMj2J4Ujs/KdRv5YokSWeF8g6BttL830kP5+MV3VZR9uiHT4MC6JSisV+CGrB0/yZyHlw8VIDGQg/WxIbjWqCbHtfH39APEKcG69scrpQb3zgjj4/eXdYFWuuz+3sEhSuqzQB8PbD1ebPIuPl6TDHdnJ6N1uwdBPu5Tsm6bG+dTI8tqhx12TASWirFZY5+tyaClixkcKhMb+LTW3F/IYuLMjmxcGBXJenNJJHIiaPiPa6n90Eu1rVgfN8YNuzSMT+nzGidsAKZVgvqZ1vqwJrhNR8VZJFWaBI0tDcTb+v75fE0LPi0T471VMVgXo+t/7v587EgJxxob8wWtRf7os29PCkdcIBuVTRrsPl2ue/bFwU+6e9OOlBAunqfQWfl2gmKXsyJoDFCrnc9k0GVLXv6Hlfi8ot6kfUowxySj7qPC+/j1qhic3LwUxRIVyhvVyAzjIzmYA08XJ1yVqvDCggD4e7khJ9IfiwQ+uCXX4KPCB0gVcbElKZzMIiEyP/qHhrEySoBiiRKpIp7JCUUUj4WegUGDvtGdbDZre7AxPtSEO0XIYuJwXhrKpCq09fTjzSWR2LcmGfXqToRyvFDWoEJyMNdE/ZquHMZeujo+7ra04/TWLBTWK3BytMT99NYs3GvVIphtqmo7k3G3VYtvdmSjQM95ywr3w91Rbk9bhLpHVxJsvJG3JVg7D9/Jmo/zNS1o0HTj/3smhpIPVtM7gIGhR3g9MQwVTW3YEB+K2AA2Gtt7cUvejp9+fR2baUpsBCwdF+ymhFAsFvhA3tlnwnttnD0iVnfhrdS5NCez1HQ65jCe0CGRafJR4X0cXJ+KG7J2lDWokBHGxwK+Nxo03bTlfuWNamxLDjf53JK10BK7+jRD1d2HOnUXatRduCnToG+IDaazEwIFQQbt9N/jc/OFKJGqcLtFS65xxBj6/oGcFKe5UqfQoyEpwS9XLAKDARTWK8lSTXdnJ8r199erYqHt60eNshOH1qciwNsdHxXex9vpc7E+VoRKmQa/OFuJZeF+SAzkIOvjH0w4Eqnmoy2MB1vz8aYL1tpZYizLOvsQE8BGhUyDfcU1yAzT0Z7pC9JR+XFSTTe+3JaFKB4LTg4MbEoIxakbUiQHc7A+ToQtx4uRFspDFI+FQG93g4DGfYUWycFcSuHapWF8/ObCbfx1NNh79r4MJzZloFHbg+tNavizqMdffKAvDpfXkXOsVtWJkzcakB7Kw1vpc3Fb3o4Ab3ccKqvFobw0lEpVuCHToH9oCF9vX4b86haUN6mRHMRFCNsDzdoek2yxuy1a2uzo3sFh8p2NrduOmCrYx7kddsw8WCrGZo19tiaDNlboQxkzOL4pw/A+Vtxf0dWH5yhEsqioLOg4UAvqFAZBY0Jc2ji4XdncZhKMtkrcz8Lgdnoo9TvNoHinf7vZQOmfn6yS4ufLx3jybX3//OKCAPwsZ6FB/2vffQkPFNrxv2zj0M+0rWrWICaAjfy43Aln2toaztfSVzNsTpwmeorCwkL84Q9/QGdnJ0ZGRjAyMgIGg4ELFy5YfUM7dCBOzoyzJefyvCiNfjjHE+Wj7fQ3pPsKH+D5BQF4dXEQlkf6oUCswJU6BVbNEyIjlA8R2xN5R69g7+pEyswJ/TLDGzINXJwc8OXtJvw4bS4ELCZe/Mz0hML4FJDuZLNYosT5mhZsSQo3CMwczkvDO19dMylz+XxDOj68dJc8RTRWv6Yrh7GXro6PBaMnpcbOga2clOqjorkNEVwvLAnmIjvCD30DwxgcfjQqICUc/wIzCKYlX/RO20yHNfNQ0dWHtX+5TPKlHyithbrbdBE/nJeG9Xq8rsQ1j23Q8brWtXUhMYg6WyCS64XzNS0Qq7uwu1GNT15JxiuLDIN+VOrJmeF8A7VZ4noTmSunbzfhQGkt3lsVg7WLdUrOEe9/iTdSIpA7V4C7rbrnb9L2gMFggO/pguRgLliuc+A6xxFXpQos1Suh0886zaIReBgPdg748dHeN0ipAH5q81Ly38bvsW9wCK6jtBHGaxxhbw/lpeHcA7kBDcmPooOwcq4AJRIlmRHx/vOx6BkYwurPTDPvv9y2DKruh+h6OADAHSvmCrAkhGuwvhN25MSmDGTsO2fwfeP5aB8PtgVr/R1iLBv7gMa/M50fV9aggsCLCXfnOZRj+sSmDLg5OyFh7xkyoFHVrEFpgwrz+d7IHfV1jfsbH+CLzX8do56QdfQiY985nNmZDReuF0J8PSm/t2qebo1PDOJQPs+JTUtx6qYULV0PcVWqwrkHcvzHikW43tyGL283YcVcAf59xWL8361GXGtSY1N8KE5WSQwOTO60Um+mb8g0cHVytM8ZO+x4yqBPJaFfUWFMJWGNfbYmg5a4rnHMwPi61tzfGiqLpCAODpSKTSqfkoI4Bu3O3pfjQGmtSWbnGykReGFBoEFbS7OiiYC9JdzPBH+v8Tul8pdfWRyMlw8VICmQg7hANorqldh7+R5OvZ5p0M7W98+LhWyDbFOi/xPNNrUlTHWmra2hlKLSH9DRdkxb0Pi9997Dnj17EBERAQbDBlVUZgCMM3mWR/pRlrpwPVwpjf7ICJAZ5ocDpWKDDamQxcS6WBH+WilFlUyDRQIfRPFY2HSsCJ+uS8WdVi3cnZ1oeTr1+eFihGz4e7nh01Ixrje3YUtSOOV38qvlCGDpynX5nm7IouEFihGycfR6PbYcL8aJTRnoHhjEwNAIHg4OGVxXyGJi7+pEVDS3wdXJkcxoLmtQkerX+vc3XtDspavj4zJFFuftFi2u1CuwyQZOSvWxNTECD4eGUCxVokSiQqqIi6WhfGxNNM26nOmYTXzc1sxD4rkJDuECcasB5yRgnl+4UqbBv2YvQLWqEzWqTny5bRlKpEpcqVMgaTSDbO2RKwZZllXNGryxJNLgWhdrW/Ha50UGwQ4GA5T3LKxXWp1V8Ow8Aclxe+qGFIuFbOTvyiWrNbYlh2PdEfpDvVOvZ8KJwUBOhB/25ESTWaebE8Ioy/0swWwac9MFugyYIokKkTwWANP3SPCm6o9b4w3WbXk7/nGprgyfwA2ZBgIWk8wsFqs78VlpLfy9mJR9KJEqUdGswU8y5yPv6BW4j1YnULVt1Pbg3JvL8febDbTz0T4ebAvW+jstnb1IChqfq50uQy1GyEZVs4b2+43tPeC4uyAlmIPEQA42JoSivFGNmzIN/L3c4ODAwJ9eTsKdFi15MJcT6Y+DFNlgAPDl7SYkBfqis1+X3ZVfLUdlswapIi4yRHxcrG3F9cY2ODIYNPNDhRgBG68uDgHT2RFJgb4GQnzEhvmL1zPRPTCEZykSE069nokPL92lfBdRfC98d19mnzN22PEUwVIqCWvsszUZtJZe11IaDcA6KovMMD4Kd6/EDXk7Wfn04Qvx4Hu6GrTT93n1MzuNK5SJa1rCKWwN9zPBjV9Yr0CJRIU3lkQgI5SPquY2k0rUe61a7F2daNDX9XEi3FdoDajfrtDsnyeyJ3gSuERDLVIgVmCj0fubbZjqTFtbQ2oIFwdKa032Isa84ZbCoqCxj48Pli2zjROVmQiqrITC3Svx47+XmZS6EJkKVIvD8KMRbIgTGTjvxhlNwJjCtFjdiQJxq4lytD4IfrjewSEsFvhAyGKS/3+dQh0a0J1Q9A0O41ZLO87szEEk14vyZHN5pD9cnBzg7+UGfy83XG3oGQ3q+CJ/Vy5JjUH3DIfy0nBg3RKs+t8L43Iy2kv6zKNYSu3wFE9QQfNJYvARtTru19tt7+RwtvFx081D40OzSB4LQhaTtE1UnJPm7Na9Vi0WC3zQNiqg0flwEPEBvlg5V4CyBjWlOCiVEIexevLGeBHJ5W6MYonSagcrPsDXIEMCGK3WGD3lrmzWmD3Uq2xqw/EqKfa/mmLAlYsyMT4pqZ5QZttsG3PTgXKKtU/IYiI2gI2TVRL0DgyjrNGQNoQYw1nhfmjQdCN/V64JtcS5BzL0Dgzh+zdysPPUVZQ2qMly+883ppO/8cZ4Eerbuin7dqVOic0JIlSNCoxtjBfRzpPLYgU+eTXFrD6AfTzYHqyhoLlY24rkIA7iAn0hZDFN6EqI35kuQ00nGqOiHWM35e3YnRGFzQlhqJJpUNHUhigeC7+5cAd3WrXICvfDj6KDcPR6PVlWHcn1wmIBtfJ8RigP/1NUTQqffrouFcUSFYQsd/i6u6BEokT/8DDlHAV0mdGEf/rxmmT40miEXGtSw9XJkdruNrfhtbgQkjqDeBeLBT5guTrTUgbZ54wddsxOWEMlYel+1JoMWkuvK9P2UNNo7MiG0ChoShu0pchKdnJ0oKy++mq7YWzImKeYaGdcoQwAcQFsyjXHmC7IGu7nIB8PA19Zv8rLGMFsau5647bFNPZ+InuCJwG6/hfZSP8ng6nOtLU1xAWwKQ97vFznTOh6FgWN4+Pj8cEHHyAjIwMuLi7k54mJiRO66dMG40yelGAObsjHRI/0BT2kmm7wPd0oF4ev7zRiT85CfFR4n2xPn/3RDb6HK5KCODhYLjbJ4iOQHMwF18MF7y6PRltvP179iy7rrfPhADS9/ZSLJJFB7O7shJsyDX6oluPLbcvwQ7UcFU1tSA/lIU3Ew1WpCmUNavwkc75BkI/I5jicl4ZffldF+wy35e2ob+syoNAA7FzFE0FmKB+fUvAKZobZ3ru8RJcZJzZVx53peBr4uOlKeYn5T9imLceLcTgvjeRCW70wENq+QUobtCUpDOuOXDFxDE9tXgqeJ7U4KJXKMXEKS4DIFqXCRH4TOiXnS6Mn/JfrFAjneMLT2Qkfr0lCRbMGn+k9b0GdAi8uCMD3D+RTltn2NIy5yYKo6tHH4bw0coOREsyhHCdbjhfjyu6V6B8aNhifwBi9xe0WHYf164lh+PCFeAR5uyOAxUSBeCybxdw4TBNx4ct0xdHrknHbxgaw0dE3AJabM+2z2sfD7IOxzSXso7EvBYz9zg4MGOhjpIm4oyKLxQj0ZtKOsdcTwyiDBAX/sALfP5DjpkyDu63t2Ls6AWuPXAGb6YzEQF+0dPWNK0J0u0WLa41qhHE8kBjoC5abMzLD/PA/xQ9o+0P4p7dbdBzEAd5MsppOH1fqlHhufgApsAqAzMS5LFZg38vJeG5+AArECiQFcZAm4kLd0493z1bh2XlCynXJPmfssGN2IoeGZoeKSsJSWJNBa/E19bJKDWg0xK0mCUK0QdsAU1+ZyLalEuYNTvAwaWf8TIX1CqyPFRl8Toj79QwMQd39EBwPV7g7O+FguRi/fT6ebGdNwP62vJ3y/nda2k32AHdGxaeNn+lui9agrfE+gfx8gtmajxt0/U+zkf5PBktDqf3bpU8JfanbHCdsPFZkMsf/viVrQtezKGh869YtAMC9e/fIzxgMBo4cOTKhmz5tMM7kMc6g0+coPlgmhlTTjewIPzwagUl2HuGwAmKzmXilDWr8x4pFiPYfwZ+KHiCKx6JcHFbO9Yemtx/bTpSQCwxBtv/5xnTK7ySPBre3JoWjRKpE3+CwTnRvfgDSRDw4OTDIk76UYA5t4KRa2YGVcwW0z1AiVaF3YAh8zzEKDTtX8cSQEMih5RW0NZTQZU1TqOPOdDwNfNx05e9idSdGRmBgmwjbkxXORyjHEwNDj0zez4Y4ESqaNZTXvN7chtbOPgMhjjQRD5FcLxNHFACiBT4G1y9tUOPDF+Ipf5MYIRuKrj44MHS0FpaIhhWZyZDYmBCKl6MDEclj4UqdApXNGqSJuNiTsxDrjxSiorkNS0I48HJxxvcPZJTXmUhm29Mw5iaL7AjDd5QSzEGtqtNgnBhnxgMAm+mMOY4MlEiox+e1pjYyixIYC+S1dPahvGlsg0d3/Wh/b6SLeLhY24rFo5sac21XzRPi67tNKJaoTMYqkYkaSeMb2MeD7cKczdUPoBK/s36QOTmIg9cTQ5EUxMG6UYofWUcv5RjbEKcTX6S61/maFnw+yt1NBK0LfrwC3m7O8HJzxn+ev00pmHS4XOfbMhhAYiAH2ZH+qGpqw8++rcSycD7SRFz87tIdWp92Lo9FPh/BQZwY5GsQQBGymPhJ5jyUN6rh5+mGPTnRqGhqQ2G9AhviQ5ET4QeWmzPWx4rIQMdvL9zB/xRX43BeGvy9qA8m7XPGDjtmJ4QsJs7szMHF2lYUSRRIF+mERKkygi0FkUFrHLSkyqC19pr/+WwMkoI4KG9U49/O3kARRVUpEbQ1tsFUvvLd1g7K6qn8arlBO1rBPLFp0HhFpD8iuJ4oELeirFGFNBEPMUIfYERg0G45TcA+hyJgX0KTVVsiUZk8v6XPZLxPIO6/0J+6Wmamwdb7Pxkk0GjexAfaXuxjIihrVFPvRRrVCON4Wn09i4LGR48eBQB0d3fj0aNH8PLyGucbdujDOJPHODOISjSHoK8wzs7bu1qX3R3t7202w2ixwAf/+m0F3k6Pwjc7slHeoMKhvDTclrejRKpCrNAHEVwWfnfpLn6SOR8MhunC9b9Xa/HN9mwUS5UoECuQGcZHfAAbB8vrsFjAhqa3H786dwuyjl5yU3Dpxyvw9d1mi0rMb8rb8fz8AISwPShPERMDffFZmRhMZyfsTInAP2fOs3MVTxAHy2tpnYPfPB/3pLtnFTJD/WZN1rQ+Fc3F2hZkR/jPqjHe0TeAS2JqJ7KyWYP/tyoGDxQ67sqyBhUu1ymxNIyH+ABf9A4MwdvN2USo7oUFAXgv/xblNa/UKZEQ6GugMi3v6MX5mhbkzjUt0a9TdWLv6kRo+/qh7RuAt5sz5jg64Jvt2bhSr0BhvY4TLlXExfojhRgYHsbHa5Lx2udFAMYXQBpvrC7w86YsTzy9NQsvHypAhoiPUzekSAriTFlmm50Dfnw4MIBTr2fiqlSJq1I1tiSG4fC1OoM2RGa8VNONsgYVEgJ9sWqeEJK2btqN05XRzHIigHW7RYurUhWqmjXICjccK8T1ZR09KKrXjevlc/3BcnHCZ2VivPfsWBBvy/FiFPzDCpyvaUFFUxtihGysjBJg+4kS9AwMIZzjiY8KH+CDC3dw7s3lAEAGCYlDa7G6E1XNGvt4sCEY0/4QhwJ0lCNVzRp8+GI8Pr9ej2URflge4Q+2uwvOV49VMpQ1qrHQ3xvz/XRlulXNGpQ1qNCs7cE3O7Jx7oEc10Y1MDLD+PjjlfuU96poajMZ62WNavgyXaDo6sMCP28DO02IQ36zfRkiuV642dKO/OoWFNS2IoLrhbP3ZThQWoucCD+c2ZmNBk03jm3MwA2ZBoX1SiwW+GAuj4Utx8fE9WKEbPgwnbE9ORz7iqrJz09syiArAfJ35SKPQmz1uzdycKVOQb7bHy0KQqqIi7dPl0PTO2BQFbMswg/LzBwe2mGHHbYPIYuJTQmhWBnkAR6PN+nrrZjrj3WxIpOgpba3n7K9TNtD8h+niXg6/mMjyom1i4PxixWLcKm2FSerpEgT8SD95cuoVXaYXI/OBh/OSzVpuyUpDOspqqdO6okDA5YL5gFAFJ9l4P8SAr5njETK5jgyTPYBiwU+mONoqrFlTeXUVqOKRbpnqlZ2UO6fq5UdlBWMMw3Stm7K/jdqum2i/5PBwNAw5dgZGBp+0l17LLhCd4hTp8D6OBHl38zBoqBxU1MTfvKTn6CpqQkjIyMQCAT47//+b4SEhNB+Z3BwEO+++y5kMhkGBgbw1ltvISdnjNPm66+/xqFDh+Dg4IA1a9bgtddes7rztgLjzC79bDYqPssXFgSgvq2blnbinmLMgKWEcGmzLXafLkdqCA+ivgFkR/ihqrkdhfVK9A8N4+x9Of6Jy8JcHgv7S6rx2bpUXNfLtPjN83EQejHx3QMZND392JwQCg8XJyzff57kxDMud3R3dkJLZx9aO/vIvpgLbGeE8uDi5GiS1UVcO1XEg8jXEz0Dgyaqq3ZYh0guC7n787E9ORzxAWxUNOsUbT9bt+RJd81qJNKcHCba6MkhQUWTyBqBSBTyhHszdVB09eFfvq5ASgh1CVS6iItIrhdaO/vwu4t38MKCALz/bAwa23tQLFEiksfCA6UaG48VGYxbVc9D0jE1RloIFwPDjwCM8RTvezkJIxhBuogHWUevQWZIWigfkrYuqEe5keMDfREX4AtFVx9cnXQiSm5zHNHa2Yc/vJSApfvO4aa83SBbT9M7gI6HgybBG2dHB8QHUpf/EafcF2gEKoolSny3MwcMBsB2d0FcIPWYn2hmm50Dnh7GWZfhHE+cq5aZ8P/JOnqRuz8f+W8ux4sLA3C9qQ3HKurxUnQQXk8Kx51WLUobDEviidJ5fdyQaZAd6Yc4oeFYkXX04p2vruGrbcuwJJiL2y1a/PbCXWSG8fFfL8bjn7+8TvoBnQ8HUFSvxOHyOp2go0wDprOTgXgiITBb3qiGmx6XK/EcyUEc7H0pASnBs79kcTaAjvbn4lsraDfOiUEcOGIEv30+Dn1Dw8ivkeOSeExnYs+3lfjN83F4ODiEQG933GvVYo4DA/+YMQ+ucxxwWazAwTIxGWD4vKJ+XJoIfRSIW9E3OIxjlRLUvvsSov29UdaoBoOhCzbsfzUZd1o68OGlu1gsZGNtTAi2HC8Gm+mMw3lp2HK8GHtyonG+pgX3WjuwPTkcvu4u2JOzEL/8rgq7T5eT9yI4iB8OPcLtFi2+2LwU56rlWBklQL2mm6yEo6NHu1DTiig+C8erpDh7X4ZqZSdCOZ5kW/1gC8fd1R4wtsOOpwRNTU1TEjROCeaa1bzQB8FVbMJ/bMRVbByI1W9njJzRvTfhKxP3zw43DbBWNlFXlFQ1azB3VBwY0JX9WyKYB9D7v8ZUGsaC1Uev12N3oxrHN2WY+LDpoXxKXzlNZPp7XW9qo7x/RXObwTMlBPjilb9cJnmij16vR+/gEP62JdPkmjMRiwQ+WHO4wKT/E6UosCVUNmuw9USJydg5nJf6VGRaW3OIYwksChr/+7//O3bs2IFnnnkGAHD27Fn88pe/JDOQqfD111/D29sbH374IbRaLV566SWDoPHvfvc7fPvtt2AymXjuuefw3HPPgcVi0V7PlkGV2RXB9cS5N5dDquk2UZF+/9lY2uyNqw0qbIwPhYfLHETxvMCc44hvd2Tjh+oWlDWoyBMkItvihkwDF0cHXOwfQn5NCw6W6+6VvyuXzG7O35WL9RSZFh+vScZbfysz+PlDJk8AACAASURBVEw/SExQTDw/PwD/tHQeHig78FHhfaSG8EihO3Ols2mjQZx//aYCp7dmoViiRJFEibQQHtJDeWRmHxWBvh3W4Zm5AnIhr2zWnbYV7l6JEJ+Zr/xqjH6ak8OHNn5yqNFoIBJZf/I3U1EgbsWxSgm2JIWblPpnhfshd67AIOhx9r4cJzZlQKrpQVmDGgwGA/EBvriyeyVu6o3bpCAOPF2cqMutBD641qgm7Q+b6YzsCD+sjBJg3ZFCvJ0RZVD258CAQUUH4WB/vCYZa49cMbj28U1LkRzEIcVDCSf7cF4a1v7lsknw5stty2jL/w6VifHB83FmBD6U+NHCQKTvO2fPBn3M0C/t199M3d+zmnIcz+V74bWjhfiPlYvx4sIgFNUrca2pDZsTwvDrVbGk4Ktx6TyBpWF8LA3j43CZGKe3ZqGoXoli6dg62DswhLzPC03G14lNS/HHK/fx4sIAJAeF4N2zVQaCjosEPrQiL1Rij2WNavylvM4eNLYR0FFQnK9tMUhUIDYLIyNACNsDaft+oK1k+2r7Msi0vZB3DOCD87eREcpHQhAHh8vFCPX1xDNRAnKcEaDz76jGun4gef2RQvz/7H15WFN3vv7LToiQkIQkBAhbADeURfYdxa21ttpW0Vq1amtn2pne3jt3Ov21M3NnprftvR3vzLS3tbetOt3UttOp1dZaN5RFQAEVF5aEQFiyEghb2ITfH+EccpJzEHC3eZ/H5/EJJ2fJ+Zzv+Xw/3/fzvge25KB/6BqKlDqcVbXjTKMBEX4+OFzTZqfDXKsz4YsnM7H9q1Iyb318jCVGjI8ZYSJUtRiRIBUgJcQPxr4BbNpbjOWzArA9NRJJ/X6I9OPgnaIaABN3whU2aHFF24nXH4jDX05dQWqoEF9daKJsQzxvbHfXCc0mHXDAAQdscT3PC2tMtsA62e0AQG7owsGtuSiQa1CktHTVZcvEULR32zGYTzfQd6+csmEsslxdaA3z6IrWE+W/1udqa1hNfk4jz3ZWZaDNuc81GxDAkVK2LWS4ptMKHdbFjf/+bA83ypxzw4IwzJf4gu0+PTOx2w0PV2fa8/dwdb7Tp3bLQciV2MYOnVzJ/YjscDHtIo54mnPHSRWNOzo6yIIxACxfvhzvvffehN9ZunQplixZAgAYHR2Fi4sL5e9RUVHo7u6Gq6srRkdH4eRk32Zgi0uXLk3mdG85KioqyP+z2Wx4eHhgYGAAvb29E34+j81GwgIRBgb6oaq16EOL+HxkhY+LvCcHC3BVZyL1Cm2xIJCPXx+sHFslykLk6wfwb9mzkRshhnnoGtleQiAmgAcuyx0/1LQhZkzc3ppdMRHTwpZRRxSJk6QCODlZEu6u/kH8bvE8PLW/xK7FhEj2N+0txr4NGVAae3BaoSUH8ae/OIMP16Ti2bQorNo9vgq2s6QOO05dwY6VCcjbeRSn6tsQN2OY8vveKOLj46+/0U3EnYzd2NhY9A0N077Iv9qYhZGREVRVVd204zE9EzcD8+fPn3DlcKafNy5cuHBTj3k7wOfzIZVK0djYiPb29gm3vRdil8fjkbIURJu9pqsPs8RcUiLnSE0bdqxMIItqe/LTGAu4z9swyL7bupBMgi60dSAukAeZwAcrPzpJFuh+3L4Io6PAR6Vy/PmUZbwtUmrxQBgXJpMJnp6eONnWN+mx70yjHkuiJBB6e5KFj4nGz1MKDRKlAtr2v8/WpaK3txepjAYfQtRZaehas0HfWhmPCLYTVHVX0ELz2/P5fLDZbPT29l43lqYC6/fedHG3x6513NpiV1k9vtuSjVJVO8IEPrjYZsSZRgOO1Wmw87FkaLrMtG3uB7bk4LK6E1kyEbbsK6HsM9qfi+RgP1xs68Aj84Lx+x8uQCbwhsTHCztL6nCsTo2lMyW08VXSqIfYm4VAjhe4LDc8NCcQ5qFhyA3d8HB1wcU2embQJXUHEoLo84uMUAFqamomHLenGl83I25uBaZ6XndT7E4Upyfq1UjmOePgpgyYR5xQpNShXGVAeqgIbi5OWDEnkGLETKBa3Yn+oWu0YzCRixFmjmlv/0B+b9PeYhx5ZhHKVXqcaTQgI0yIjDAhtu4/Q9m/bSG5oqUd+p4B/LNahQK5hmTlW+eO1jlnV/8gLms6afNW6/HxteUxUBh6sMXKp2O+xBcXW40I589AgOcoMsMsxkATdcIRBe4gLtvy3GjO40mGSeZknpvr5UWTyZum+yzd7tgF7t7n/mbB+voSP78ywZZ3Djd6D+6Ge3g7Y3cy+QKbzQaPx7vu8349SKWWBWY6FCq1WCydgebmZgBARETEhAXWhyIEkMvliI6OnkAnWYfHowPJa+TxeNhbpcEHpXL8aVkMHp8fgnKVASF//BrbkmUIcjbDaLQsqPH5/AnN4Ih5C5/PR6HhGmMhPF3gTOYMERERzPlviBBdXV2or68Hm81GRogAH5TW212T7bjr7++PH2pa8UGp3C7n3pYcgQSeK9RqNQBAIpHQGh4DQHa4CGq1Gm1tbeDz+ShpH8WGz+2Zzp+uT0cKz4kxD7obYjc2NhYn6jWMc+b1caE3df5/NyEsLGyMaWsfO0nBAhiNRiiVyjt9mrcM8+bNg5urM23t5+DWXAwODqK6utruexPF7aSKxu7u7rh8+TLmzJkDwBKcLNbEVWo227JK1dPTg1/84hd44YUXKH+PiIjA6tWrwWKxkJeXNymd5Llz58LDw2Myp3zLUFFRQf6gpJ5c9VhLcmQwRN4sxs+Z4OM3gJcWzkWBXAOZwBs/1rRhTWwoo3HZ9jH2b0mjAW2/fxTH6tSYJeLgorrDbnuiPe+ythMvZM3C+rhQODmBZFdMxLSwZdQBQKOxB++sSkSpyoALrUZIOF7wcneFsW+Q8t1qdSdaTb14fXksArheELA98OaJy4gL5EHf049PKxpQ2mRAZUs7egeHKcwuAsRkoVBpwLrHkid1f+5W3OnYPd1A72h7ukEHmZ/PTXu5TTX2p4PrrRzeiQnSjaDV1IfjdWoUl8stOmWRs27IXONmY7qxm9MJSkKWIBXgMRpG7p78NLx6uAp1+okXr4iFKrmhG2ebDYgQ+GCmyAezRBy8/B2V/Vat7kShQovd5Qry8wCOF17Mmo2iNhOCfDnoNQ/hlII+Eacb+8pVBiyO9Ee0xBefVliKxhONn2caDXg+YyZt+19OpARsNgu5DKZ0OTIxrW5zmcqAj882YOdjyfDzs2eE3qpYsn7v3UuYTuzaxi2BuEA+nMzdmCniYr0V87da3QGOhxvaus208VurM2FxlD+6B4bw6uJ5eCRaivOtRiwI4iM+iA9lezcaDN0I5c1AcogfLrQaMT+Ahz8tj8W3l5oZGT7lKgNeWx6DgnoNhkeBTvMgZos42LAgHGH8GfivE5dpv1es1GP1vGB6Y5mogAnH66nG190aN3freVnjerHLFKe5Ef6QSqXQdpuxgiJfYSkA71qbivdL6uy+lxwsQLFSzxjDxCJajdX/AcsEe3R0FGF8HwRzZ+Dl76vg6eqMT9an43idGqcUWiwI4iM9TIQl7x8DYBmLv3gyE5c1HTD09JNanpvGmPHWxyPG4gSpAF+ctzB9mcbdMpUB+6oaYR66Rhlvo4QctHT2IojLxo+NBswSW4yBJuqEIwrc0f5cyATe+KxSybjt9Z6b6+VFk8mb7oWYtca9dK5Thd29uEuLxjdyD+61eLsZuN6YO/6capAjE9/w/CY9rIu2aJoZJoJQKKRIYKQzFFgzQkXgcDjkvcqLpNdJ7ujrh4eHB+WeEu+QVw6fp+wzN8IfoaEhlM7HDjcjo5laSACPlCt94yx1sZCAxfw5hSJrmhvhQrvP7AgxfHzY5Lnye8y0bMkIP2/4zaD+/onSXnxQKoeTE8h/ls8FkEgkkEjGTfYWuHbRHn9BEB/+fj7w9/enXJPtnPOUQov8uOQJpVpvFyaKXWIhwfb8CUb3/fycZ4W7oPC5JfBwc4aXmyv6hoYxMDQCkbcneDwf8Hj3t6ZzoaKZNqcratAhPy50yvd+UkXjl19+Gc8//zy4XC5GR0dhMpmwY8eO635PrVbj5z//OdatW4cVK1aQn9fU1KCgoADHjx+Hl5cXfvWrX+Hw4cNYtmzZlE7+ToJJT+67bQvxwAfH7T5nMkoiXkLtvQN4JiUS8UF8XNV0kuw86xaLbJkYLx2qJL9brNSh1dSLtbGh2Lr/DKUlIz6Ij+WzAjA6OgpNtyUp/+vpq1g8U4LMUCGO1WvwYZl8UkwLa2xKlFHYVLYthASSgwUYvjaK+CA+ZAJvvFtcS0pYWL/IdD1mFDKsthKThemYPTlARblNm6j1508lyW7KMZieCabYny4ywoS0K96Z4TeuMXa70Wrqo4wXpP7YtoV3VeF4OiBapHesTMCecjmSQ/wYCxJLoiQ439pBu5/zrUZ8sCYFpxRacuwI5s3AwSvNGBweQaupz64NGrDolS2ZKUGEn6XQ/N8r4rHm49PYsTIBm/cWg+3uOqWxLztchBkebvhzwRU8kxKJd1YnoXdgCM2dfbTJfLZMhP1VSjvJgdwIMYiuMHcXZxx4KgcljXqcUmiRKBUgPdQPTgCWzgygLQoxaVHdz7F0O2HrQQCM60eb27Wo0FOLwzKBN4zmAcbFgwK5Bosi/XGkVo3nvy7Hg7MD8Z8PxKJGa8L7JXVYOTcIy2YH4pFdJ+2O+eGaVFxoNdLGQUaYEC98cxabEyPw64MVeGlhNDr7h/Dl+UYsmxlgp8FMIDNcCC931+uaIdqarKWHCrF5XwmO11sYro74urOYKE4BZvmKiuZ2LI6S2I1ZMoE3Y55gvYhW1mTAn5bH4EhNGzYlylDR3I6/nr6KzHARwvneCOGxkRzshwK5Bs2dfVgTEwIfljuMfQPgebmTXSWEzIT1uRN5pPXxYgJ4KGnUYZaIg4Qg/nUZwjkyMVjurmC5uSAmgIfYAB5ONWixIT4Uyz+waH3GB/Lxz83ZuNDWAeEMD+x/MhPFSj3KVRamtNSXjfVjZqfW74JNe4txYEsO6vVdkzYRvV5edLvyJgcccGD6sH9O5Tf8nDKRBrJpvCqYvH9yZNRtU0Imr5OcHiqkl46k8SEhzOAUhi6ca27HgiA+wgU+dmZwzOxd+3m8u7Mz/rk5G4VW+XFGmBDuzlTZhJFR0LIlCVNfynFkDO34Pvb36IeaVlp5jgPVKjznN05kZPJQma4u7O1G2gQdjfc7fDzc4O7qgpNWBpI5EWJ4utz/0hwAcJqhvnZaoUX+rTLCi4mJwZEjR9DY2IiRkRGEhobC3d19wu8YDAY89dRT+O1vf4uUFKrZlre3Nzw9PeHh4QEXFxfweDx0dXVN+eTvJOgScra7K47XqSk6cgQV/pRCa6e9M1HhmeflTmlrLmnUIUrIwaErLeS+H58fjFliDr691ILj9Rocr9cgSSpAgtRi5nS8XoN5El9s++KMXSHhwJac6zIt5kt88ZzKQB4vnG8x2JmIidIyNiGo0ZlQptLDycmio7c1OYLCMiSO8c1TFk07usktMVmYrtmTA+PIDBPTiqHfzN+WaZJKF/s3gqxweqODjLB7L06I8cLa6O2jMjlO1Gso2rv3IkTeLJx4djEOXWmhdDfY4nyrEUlSAUJ4MxiKXCK8cbwan1c2kp9F+3Px/baF6DQPorLFSJsQ5cjE4LDcoO7qw7OpUeCzPRDCm0FhNBNjH9vdlXwuegeHybHP+nhxgTxs2mtpebae2Ef4+dCzFQL5SJQKaKV3vt6UDT4bKFBokBTsh++vtsAJTviwtB7bvjiDaH8uDm3NpdXQXciwiEbEErEtcT33QyzdTtB5EBCFIaVhlOx0ICA3dOOhuUGIDeQBZfb7WxAkQHmTAQ/MCsD/+XPxy8xZFKbyJU0nfpYWRYkf4v6pOnoYi4MpwX44pdCiTm/CSwujSY8CwPKel48ZjdlPCIXYX6VEtkzMaIbIlJvsWJlAFo2BMa1ER3zdEUwUp8C4DqQtzjW341+zZ9vFRoyEB5E3izEXIwqnC4L4iBL6IJzvjZVWCx3Whkt0RYsvNmbhm6dy0GjsRquJXhaIyCOJ40X7c7EkSoLlswLgDCcsnRWA9XGhE7J+pb5shPG9EchhYYaHG0qbDFC29+BYnYaUQ3rjwTiou8wI4rLxxGdFqFaPm17+UNOKzYkRtDrkraY+1Ou7pmQiWiDXgO3uiifiQ8m8yzovul15kwMOODB93Irn9EyjnlZ/t7TJgNU2msKlTZZtuSxXsNxcYR4aRqd5GGVNBqyy2pZRJ1mhxRM2C23Mx9fbHT9RKoCmywyZnzci/XwwglF4uDjbFU7jA+lNm+MC7Y3KuweGKAZzRH781cYsiDBe5J3Kb+85pqlM5PSfVTTg/84M43sab6SVc6VY8eEJ8vjvFdfhzwVX8O0WaoE9PVREO0+4V4quRA5pe/5ZNIX8+w0D10awgsYY8hDNIsr9iIlkZaaDCYvGb7/9Np5//nn85je/of3766+/zvjdnTt3oqurC++++y7effddAMBjjz0Gs9mMNWvWYM2aNVi3bh3c3NwglUrxyCOPTOsC7hToEnKZwBuXNRaDDltG7dHaNrvB7QSDYH11WwdO/mwxipR6HLrcjMxwEUJ5M/DCN+co+3ZxcYKyvReVLeN6OmUqA/60PBZb95cgUSrA8LUR2mOUNerx2RMZOK3Q4khNK/Y/mYmK5nacbtAiPpCPmSIOpL5sXP73h1Cs1OFsswHhAm/MEnEQwPFCq6mPsk+CGfKn5bGUySuxGrv/yUwGXUYdMhjcThdG+mPVPKmDbXETkBkupF19lfqyr//lSYJpkkpnVnAjKGVIdMqa9Ajk3rzruR1o6exF/csPo0ZrgqbbjIfnBuGlhXOxr+r+0FnisT1Q0qifkBmWHiYEl+WOef6+jIsBT35eTPlOtboThQ1aeHu4YY4/l7F4kPHOEQDj49DnT2Tgb4U15HYvHarE15uzUdigRYlSj2dSIpElE0HX3Y+djyZRGBUflckpkhXWSStd8eYfF5oAJyda6Z1ipQ5hAm8MDo/glEJLKYgT+z4p1+CrjZkoaTQgWuJLaugWKXXwdHOxGxeLlTrSEKrDPACTeRAPzQ1CGN97srfLgTGIvFm0haGBgQHkyKgM3tImA3xZHogL4NHGYW6EGP914jLmB/ji43VpdguvMoE32W1D3D/iHd/RNwhPNxd8uj4dlS1GlDTqkRwsQGa4CO+X1OHxmBBUNLfb6WonBwtwukFHO06eadLjRL0Grx+/xMiSqm7rGDN6cSW1Zm1lAwhc0nTYsZKzZWLHe/s2gClOAdjFKYH0MCH8ZnjYjVnpoUI0GnuuK9WQGirEp+ca4O/jRU+cYMhrixp0kHBYSAgSYG9lJehwvtWIbJkIySF+4Hi6IS6Qj31VSqyaH4wipQ6nFVosjpLgN4ui8c+LTfjiyUyca2nHaYUW8yWW+F77SSHeeigeiyLEyH3vKGXhY31cKMpeWIZ6fTfU3WZou/sp4zMR14si/fH9tlx4e7hh7SeFlN9iqgvtkUIO1seHUeYDm/YWk3nR7cqbHHDAgeljKs9pa2cvjlsxGxdGiO2M5QDgaJ0aH5bZ6+9uTZZh9fxgyrZtJjMSg/3sGJPfVFM79Bi1jxt0dkXjiY9PvSYvN0u56Kq2i5TQipH4kp8T2FVeT5t37CqX440H4yjblqkMtPlxebMBMium71R++3PNFiM86xrMTCEHFS3tkNh0RNmaHhM4paCaBnp7uOKfm7Nxemye8HRKBDLDRPB0pXp13a04cEmFg1tzydh5JiUSORFjjOqMWXf69G4pmOpsJ2mMIe9HMJHsMqdJspuwaExoGCcmJtr97XrGda+88gpeeeUVxr/n5+cjPz9/Mud4V4IuIZcbuvHyomis+djeDOeLjVmUbU3mQRTYGJkQE0Zlezd+810l0kKFljboolo8sSAMf1+XRpGG+GXmLBy83IxEqYBipNfc2YsdKxMwMjqKL8830p7/SbkWArbF0OnZtEgAgIerCxKDBOCw3MFyc0X3wDDleLYGd9bIChchgOsFhaGb9gEtVurtJpvJwQIMDF2D2Nvzuq2yDtwYzDYGN4AlLr+0icsbAdMk9WbLizAlOttoEp27HRsTZGjq6EFjRy+ZiHFZ7ti44OZIhtwNINrkmZhhi6Mk4LLccPBSC22yWdKoox07egeHUavrwodflWFPfhrkhi5UtRgRF8hDVrgYi2zGqGp1J3Q9ZsrK6xsPxmHV7gK7VegdKxOwu1wBmcCb1EV+Z1WinZQOkbTSFW9iA/nYU27PgAaA4kY9NiSEIz1MiDdO0BtYFCt1eGB2IFJD/PAojRa0bcEvLVSIJxPC4QRA291PxpO/Nwv6HrOd9psDU0dvby+yI+31gA9cUiFHJqaN36IGHRZH+uOlQ5X4w9IYXBsZRXKwgCzGeri6IGXM6GVPfpodY5iIx50ldciWiZAjEyP/k0KUqSwLCH9cFoP9VY2U85QJvFGi1DFOCB+PCcHa2FCUqwxYMSeI8l1ttxmqzl54urpQilytpj5are+nEmWM7fUO3DkwyleE8OHr5QkAlDFrX6US/36o0k4WLTdCjON1anyyPg0hvjOw5P1jyJGJ0NDeY3dMmcCbsWhR1qTHrxfORaFCy2j0nB4mRGwAD24uzjhc04oNnxfj6PY8rP3YXhJt15pUXFJ3wt+bBX9vL4oJ9Ml6DaTc8aK29WLMfxy5iJQQP2SFi/D6MXsTGMCiR/9C1iz4stzx1kPxdnnpZBdJtN1mbB7Taba+B3vy02Do7Qdw+/ImBxxwYPpgknvKspGHaO3spXRaWHdg2BaOCdkAW61ZOgbrI/OkeHASjMmJzN1sMZXjd/UP0c4hv9iYBbEVKzjSz4fW/PmDx1Ps9lnI4NdwWqHDurjxAvdUxsgg3xmk/BzBNO4dHMbu/DS7bScyF7QuKPYMDlM6pYnf/mbOn28l8qIktGzb/U9m3uEzu/WYyBjyp1A0Pqsy0M5LzjUbEMybMeX9TVg0zs21DEY6nQ7PPPMM5W+T0TS+n0GXkIfzvVHZQi/fUNnSjkirlbOzKoNd4mw7YSSKtDtWJqBcpcdDc4KQKBWQ8hdXdSZ4e7pjjnicaScTeGOexPe6mp2poX7wYbmjb2gYEQIfu0L3/65OhLuLM+21yA1dlCJOtD8XsYF8eLg6Y68NY45AucpATjatE/gylQFe7q4Ttso6cOMoZDDCK2zQIcLv+iaUk8H1NBZvFrLCRbSJzr3YatMzOETbSnU/vczjgyztarY67dkyMXIjLJNtfU8/jtVr8EFpPa3rMd3YUa4yIFHqh2+eysYffrwIXXc/3lwRBx8PN+w4dRmtpj67RKFnYBjREl+yVcuWoQmMj3EA8FmlhfFt26ZMYKKJvcSHZWnJY9A7BgAfT3dkhYnwIU2SnxUuRu/AENlueD3Jo2WzAtDeO4C1n1DH8vVxoXhzxf1rdHG7YSsLkBrqh4wwi4QKnWv31iQZ/jV7NrheHihS6iw68oky/PmhBXj849MYGL6GeRIe1seFMsajYiwe3zxxGXPFXPJvpU0G+Hi628WZNbPfdpyMkfDw28Pn0TdkP5GylaUALLH/9eZsvF14FctmBVAM9tbHhTLmPKcUWsxj31udH/cTmOQrBgcGsL9KaVfwLFBo0Grqs5vwX2jrsBguyrVk5wZT54iHqwsywkS0ckFJwX4w9A7gcE0ro9FztkyM//ddFZJD/PB5ZSOSgwWMz0SZygCTeRAr5gbhDzamoTkRYorJqX1ubWEd02k7A0CilA8h2wM8tqddXqrtNuNX31bAycnyO0ykQczUVi03dOHReVIAty9vcsABB6aPuED6TqJYm3k8U6fFCRpmI/Ozb59XTpYxyXiegfYLdQsZdJJzZfbHL1LSzyGLGnSU2gYh5WBr/kxXiJ6sVvBUtJcV+i7sWJmArv5BGPsG8Ei0FD6e7mgwdNndq8lq/d6O+fOtRGVzO0NdyogoIecOndXtwWIGY8jOvoE7fWq3BUzz6qeTI6ZFspuwaPzWW2+hvb0dJ06cQGNjI/n5tWvXcOHCBbz44otTPuD9AiIhv6TuhKqjF1JfNhYE8fHrQ/Rtd6fkWqyNHRed/uqiCo/HhJADIVNybOwbRCDHC60cL/z19FWkhfrhpYVzcbyuDSbzIBKlArz8naXF+lidGixXF1S3ddhpdtoOtolSAfJ2HsP323JpJ326nn602UhQEKhqMeLPK+Oxp1xBrlosef8YssNFWDJTQrsimB0uwndXWwAwF8dPPLsYPPbUnO4dmBxuhxHe9TQWbxYWBAloYzqeRjPrbkdlixE7ViZQ5AR8WR6oar1/Xua7yuTkSuf+KiWWREnwi8xZODcWk3X6Lvzpx4ukxpJtkSsjTIgfaloBMI8dezdkQt1lxqErLfhF+kxky8TYlCDDVZ0JpU16bEwIxx+XxcLfxxMX2jqwY2UCRkdH8QVDJ0ZVixH/vSIeH1cokBZiaQPcsq+Ess31JvbvFtdie2okg3mJJSkvadSTRXW7eA7iw9PNBQ3t3RRZohezZ2OWkINTNi17fjM8cfDyuFMulV133uL27ZANuCkQebOwKEKM861GvFdch50ldYxF2sxwEfqGrtHGbcHPF+PFA+dwWd2JlxbOxd8Kr9Ier6LFiI/XpeGdoho0d/ZS2L6rdheg8LkllBgqbTLgv1fETyg1AACX1B241NYBd1dnLJsZAGV7D9ju42lhAMcLO1Ym4LKmA56uLjAPXcPu/FTsKpdjrtgXD8wOwMvfVdGe88l6DRIWOApfdxK2HRDabjNW7Cm0isN6MvdKlPqRE3jrGN6UGI6RUeBoXRu5X1svDGKsqdd3McoFpYb44azKgKRgAa3R88IIMU7UqfHminj8x5HzACzM5Ym08DclhuP9kjrK58S4PDo6CgCMufVnlUq8hM29JQAAIABJREFUvCiaXhotwh88tiftcU39Q0gO8bOTm6DT12Rqq65qMeLpFEuH3+3KmxxwwIHpg8hjnZ1G4eTkhNHRUYyMOmFXuRxvPji+KD8VZuOnFQ34enM2KU8n9mZhpoiDzyoa8JtF0ZRtJ8uKtc63beUhrM8TAAK4bHy3NRcX1R1Qd5nh78PCPH9fWikNYg5pe122c8hrIyN4d3USLrR1kMefL/HFtZERu30SBWbb8de2aFujNeHg1lycUmhR1KBDepgQWeEi1Oq67M51jpiLDvMgarrMZLedcIYnZou4sEUOkxGhTdH8dsyfbyVuthnavYTkKRhD3o9IDrZ0MdrOS5JCpmfiOGHRePHixVAoFCgtLaVIVLi4uOBnP/vZtA54J3ErdPcMvf1jbFkX9A9fw/JZ9EVTW0ZajkxESZw9XJ1RbmU6RwzIe/LT8PjH420Rh2vasG9DBtge7jit0GDw2gh2PpaMyuZ2soDxP6fGJ56U5LzNiCSpH2IDeTCZB3Hml0vRMzAMdZd9cfhITRt+lhZFuwqYJRNhdNQieWDdEvhZpRKv5M1j0CUVIi1MiPzYUDQaqRIWxMT00JUWlDTqHZqItwCEEZ4tbjabZSKNxZuFXeX0SdHucjlet9HMutsR7c9FV/8Q2nsHUNHcjvggPvy9WRQ24b2O2ABfCnvtrYIrKFMZcPWllfjVtxVIDvHDZ5VKbEuJYFzgmi3m0o4dgGXFvECuQUmjDq/mzUerqQ/poUJqKx/GW/liJDys/eQ0EoMESAoW0DINEqQCSLleiJXwUNigwyuHz2NPfhoeiZbiQlsHcicxsU8I4qOty4wvN2ahtFGP4kY9MsOESJAKyO8ZeswoatDSx3OZHP+WMxubE2VY8/FpGPsGySLwjzVtyAoXQ9ttppxDuWpc356pwH4jbt8OjONonRpvjrFuk4MFSAvxo43fSD8flDTqaeP2WJ0af304AQDw6uHzSA8TArCPx/kSX/zHjxfwYvYcXGzrQFa4GF0DQ+B4ukFu6EaRUoe/r0vHFY2F4ZsoFUDk7Yl/bs5GgVyLUpUeMWOar5v2juuDFyv18HBxxspoKf5RrUJpo55SCGOSy7COIbrW0eRgATYlhsNptPfGf2gGOHSUpw4m5uuxejWWzJTQxu8sEQc/1rZh6cwASg5BxEdLZy+SQvzw8VkFCuQavHasmpQLqmwxYr7EF7lj+a+TkxMWRvjjb4U1dkbPD80NwsZEGfQ9/UgLFeGDUvmEWvjxQXyw3FzxcLQUs0QcipzGPy40YVGU5XomKjzvOavA15uyUaDQolxlQEaYEOlhQtTpuuDp5mIXX85OwOM0hs578tPw5flGu7zH+tlIDhZgyUwJACA2gI9jtW2IlvhC5M26LXmTAw44MH1khgkRwmOT/hdEh1GWjTZoHgOzsaOv326fc8UcNBp7oe4y42yzAQlBAni6uWKuv33+P1lW7Fwxl1Ye4u808gwAACcnGPsGUa5qR0aYEGCQHl0cJcHjMfbXZeqnMjbrDV2Y4eGOQK4XPFxd4DfDA/3DI5C3d2OWzbzGy90F765OgqbbjE7zILgsd4i9WfByp2oFR4k4UHX0IoDDQn5sCEYwiuaOXkQK7Vm+Ls7O9DIaT9pLSXi5O+Ofm7NR1KBDUaMO6SGW8d/LzZmy3e2aP98qZIYxSKvcI+d/Izil0DGyxNfe5wVzAFgY6c+4MD4dTFg0njdvHubNm4dFixbB23vcTGd0dBQtLS3TOuCdApMb+HQn0Ez7+27bQrsbtDBCjLRQIaUlMD1MhJnCce2fx+YH48Ws2ThWryEH5D8/tAC1+i7Kvvbkp9EOiDsfTcZrR6uRGS6kDBCtpj68ergKS6Ik2JYUgffP1MPV2QmRfj44dLkVVa1GpIQIcHR7HqlbCFiYJLvXptIGW7S/L94urCFbt62xq1yOXWtSUaYy4HyrEQuC+IgP4sNoHoCHiwv8Znji28vNlO/QtQ46ihs3F2lh9AWN6Tpo3knMFnGQt/MotiTKEBfEQ2WzEc99XY49+al3+tSmDA9XF/zsH0X3rFbWZEC04FmvdK6PC0VFczucnEBO6J2dnGgZCuaha/ifgivIChcxsh3OtxrhBCecazFgQZAA311ppXWsL2qwGG8Sx4ljYPmmhwnhihHsPFNH/i1v51GsiwvBO6uSwGG5X/e6U6xWuIkE/nBNKyVRC+CyYR4eId8DS2dKoO/px6cVDfh5ehQ6+gZwVmVpLTu6PW/CAl5H3wDSw4T4oLR+wrZui6yHwFFwu0GclGspxoNsD1fa+PV0c2EsWlU0tyNC4I2/nK7BLzNnQeLDYmQHP/d1OVJDhPjkXAP6hoaxb0Mm/ufUFbyUOxepoUKUNenRZOzBn5bF4MsLjegwD5GGuNuSI3D4ais+rWigmNjGBvhivoSH7V+V0kyyMlHZyiw9QRS4rFtsrRmnu8sVyAgRgMU33/TYutn53E8FExkKpYcIaeN3FBYTpX/JmkXK+hBj7xvHq7E7PxXH6zQw9PSTpkOb9hYjkOOF15bHoKrFCC93V6z48ATY7q64NjpKu0hW2KBFdrgYbxfV4JFoKaL9uXaMZgLR/lw8MCsAm/eV4Hi9hlJ8jhJy8Pw/zyKA44V9GzLQNzgMVWcvbcEl2JeN149fQiDHC/7eLPxvUS16B4fx4OxA2vj6YmMW7fNQqzNh1ZjchDWyZWIsjBDjd0vmg+flgZIxU2kZ3wdcXy9s+KwIn6xPd8SsAw7c5YgJ4DFqFVsjZQrMxvggAR744Ljdwv532xbabTtZKYncCPt829LdZl8gbDX12Rx/vI4RYGMatyBIgIc+sr+ub7fYX3+9vhsdfSPA6CgGh0fA93JGtL89s7FWa0KkiANFezfKVQakhQoR5MtGnc5EMTUfHLawlI19gzCZB8FhucPfm0V+bg1GGQ2lzq7IzGez0D/ch/kBvlgQxMfQyAjcXV3AZ1PH43t9/pwlo2d0Z/wEisanGzS0nxcotD+JovHQMD3zf4jm2ZkMJiwaEzhw4AB27NgBs9lMfhYQEIBjx45N66B3AkwMC7qWshvZX7FShxPP5uFYvYZsNUsLFTIOzMVKHU7Wa/DAnEBaBoO15uBEhYArWhPWxYfC28ONnHhaM9MutBpRo+vC5sRwBHC9sPKjk3bnY21wF+3PBd/LA/ufzMRphRbnmtuxIIiPcIEP/t/3VVgdLaVduYr088FzX5fDb4Yn/vOBWNRoTXi/pA5Z4SKE8Gbgv05exuIoCeWa6vT010TcGwej6MZxbkwMXWHootzLClU7gn2nLoZ+JxEXyEPhc0twvq0DVS1GxATyUJi4BD6ebnf61KaMciv3YALV6k6cbTbcE1pZkwFd++2SKAl+faiSZJIlBwtwoa0Dz39dTmFIPKcy4LP16ciPC8HFtg4snSmh16cyD+Ctk1dwWqFDSrAfEoMFuDY6atdCTCYKToCpfxC1OhP+sSkLZ1XtOCnXkC9Ubw836BvraduGJ1MwBixtg8S9tU7gV8wJwuMxloR4vsQXM9xdsTBCjJcWRpPX9eSCcKSHimDsG0Bhg3bCsZ8YJ/W9Awjjzbguuy6Qy3YU3G4CcmQibFgQBoKXc0quxdNfltrF7661KXhknpS2aBUTwEO5qh0hPDbydh7Fg7MD8e2WHJyUa1Ci1JMFNYIdTBjRfVapRLnKgM2JMlS2GvHyd5XIDBdh+exADA2PYHGUBOdbjfh0fTrcXJxxrrkdraY+yrPA83JHfJCAcQy6ojWhyzxIe+3WruXWz3eEnw/F+OtWxdbNzud+KmAyFHp0fjCO1auxeV+JXfy+syoRq+dJIfT2oDiwP50SiYURYmzeayncErDOJfefb8KbD8ZhX1UjqtWdeCI+lNagscXUhwNbcnCsTg1DTz/ONRvw9RgD7EhNK/Y/mYmKlnacVuiQFuqHuf6+KFTq8OGaVFS1tuOHq21IDfVDAIdNPiutpj5kvHMER55ZhKUzAyZcjLHGw3ODGDUsixrsTVkBy3P5cLR90VjkzcLu/DQ0GXtoTaV3rExwxKwDtwwu//rJlL9z7c8bbsGZ3PuYrFaxdd5nvV1xo57M+8htGcaZYqXObkyQG7pwcGsuCuQaFCl1SA8VIlsmhqK9myLRUNHSTrsoV9lqtJNyOF6npr+meg02LKB2eBQ10F9XiVIHqe948W1kFLTENjpjXJnQh2LQRoyL327JoWw3AovUkK3BM/G5NaYiJaHvMaPJ2IPzbR3kfmMkvnB3caIYR19Wd5Dvo+JGHdLGGMlX1J33xPzZzdmJNnbcnOlZ5fcTJqubfb+iQKHFti/O2OV1H61JQZjA+/o7sMGkisa7du3CgQMH8Je//AX/8i//gvLychQXF1//i3cRJmJYTCdhu97+rFvN9lcpJ3wxPB4TwrjNJXUHmaROVAg4qzJg+awADLiM4JkvS7FjZQL8fViURJVYGd27IZP2WC2dvXhtWQyE3iwkSvlwd3PBN9UqHLjUApnAG7vLFWSy/Lsl82mT8JQQP2z74gyObs/D+k8L7Y69Y2UCuW2iVIC1sSH44nwT42+5JEriKHDcBByts4ihb0mSIT6Qh7PN7dj+VRmeTo7AqvnBd/r0pgR3G3YuMO7ie69hsu7B9zro2m+JAsYfl8UiWyYmxzZb7aWTcg0kPl5wcrIwM6zZDsnBAmTLxHg+fSaAK0gOFmDw2gite/Ke/DS0dvaip38ID3xwHF5ulr//7XQNwgUz8MdlsahsboezkxM0XX3w9fG5obbhybxzCBPAD9ekUlkcY+PlVxuzkBoqRP/wNcaxn9hfUYMWvz9yEXvy09BpHkBH36BdoTI5WEDRvCfgKLhNHXmREuh6+rH2k9MWRrGrpaXSNn5LlHq8snhctolgyY+OAlFCDuSGLiyM9Mc7RbU4dKUFqSF+mC3mwDx0DVWtRpQ26RHE9UIQ12ssV2gEAESPGd7av98zMEvERYlSj8HhETzxmf1YeXT7IrSazPj0XAPMQ8O011eu0mN9PD0Tw1Zui3hOmPKYmx1bNzuf+6mAyXhpQRAfX15oBGAfv+dbjVg9T4qB4VHKBP+SphN1+i789ZFEvHG8mtLRUaszIUkqQHwgD/WGLlS2WGRzmAwaj27Pw/8UXCHN5YhY3vloMo7VqfHPahU2LAjDJXUn3iuuozDojjyzCCvnSnH4Sgv+flaOIK4XhU3/jwtNWPRYMg48lYNTCi2KG3XICBUhQcpH3k574kuWTITd5Qra38/a0NkameEi/PNiE36WPtPuO1c1nagz0MsqNRp7IJzh8PFwwIG7HZPVFCbeTcRcq6LFiI/K5LTvpqm8x/ZWNeGD0nr8aVkMHp8fgnKVASF//BpPJ0cg08o47/urbYzGVyvmBNFek73+stauaHyaYa5yyoaxSRj2vbY8BolSy6L0//v+PE7KNRRfJ8Cy0M6UL2xYMF6MHR4ZpS1E76MxDLd0Wk9OSqLDPEQvZbExi1I09uewsWp3ATln2FlShx2nrtgZCd+t6B8ewUMfnSDP/73iOvy54IodS/x+xGR1s+9XEIsotnldWZMBmxKnrsftfP1NAD6fj6CgIERFRaGurg6rVq2CUmkvTXA3g641A7Cf/NyM/el6+vHxWQWe+eIMihq0tC+GAI4XIvx88FlFA3aV1eOknJ5CX6LUI3vsWHJDN+YH2DugEsflsz1QozPheL0Grx6uYmRLnGnUI4lmlaVYqUMAxwuxAZai4q++rYDYh4U/LY9FgUILJyfgifhQJAcLoGzvxmdPZGD32lRsS47Ap+vTsTs/Dca+geu6wH93uQUHt+YiPVSIsyoDUmkcUAEgNVSI2gnYdQ5MHnmRYhzdnoeYAB4qWyyrz0e35yEvanq6NncS51QMTrDN7QzfuHvBtNr5U1gFJQoYm/YWIz82BGkML/GYAB6O1LYBTsCxMWZEAMfLsjAVHwZDTz9+rG3DR2tTsDDCH9VjRnfr48Pg6eqC9fFh2LEyAequPuRGiFHaZNGXLVMZ8FmlEmUqAz6vbMTJeg1mibmobDViZ0kdqrosbLX9VUps/7IU+6uU0HZbum203Wbaz60x2XeOpsuMH2paGRjn7cgOt2jITzT2A5bkoNXUh7ydR/HWySuIDbC4aNv+5iWNetr9nKynfwc5QA8e2wMljRb2zUTv5pgAHp77Rzm+37oQl//9ITyVKAPLzQVLZkoww90Fc8Rci0HY2DMv8WEhRsLD9tRIxATwIPZm4cM1qfhZWhS+vNCEBVI+ip9fCjlDh05FixGHLjcjXOCNK1r6bc63GrG7vB5nmw2M550o9YMvy8MuhqL9uXbPamtnL4oatDjBEEM3O7Zudj73U4HIm4VvN2Vg74YMPJ0cgb0bMnDkmUVwcgKywul/uxyZGIUNOrux9+mUSDw6PxhnVQaw3FyxJUmG4ueXIoDjhfOtRmTLRIgP4uN4nZqMsdImA2YKOZSYWjEnEBIfFpJD/Mjx+uj2PBj7BlHVaoTc0I25Yl+cVujw5onLlIlPtboTP9a24c3jl6DvHcALWbPxdEokjm7PI9urE6QCHKttw8C1EVSrOxEr4eFCWwfcXJzB86J2jUT7cxEh8GGMr2yZCKM27LZofy78fbzAY3vgWG0b+U7Q95hhMg+iubOXccGvXGWArqeffIfoe67/XnHAAQduP5jyU9vi06roINS//DDSQv1Q2WJEWqgf6l9+mFa+ZirvMWLbVw6fx+L3j+GVw+dptyW2s85vmfa5OMqfzKOtx94lkRK7bZOD6eckyTaGWobefjS+ugoSHy/sr2qExMcLja+ugr7HXtN5okK8NUoY2NslSvtcNiNcRJuzWPwibI4zQUeJNS6NES2sf9NqdScu23z3bgXRmWV7/qcU93/O7+ZikT18Z1UitibJ8M6qRLy7OgluLvc/yxoA0hgkVOieh8lgUkxjFouF0tJSREVF4dixY4iOjkZXV9e0DninwMSwmK4QeHoY/epFWogfFu88SmFjPGnjmAoAX2/OxlcXmlAwVixmMvtYIOVj6UwJZgo5KG7UMeoaZYWL4OrshL+ftTAkZAJvVDAU0cpVBiyZKUGE3/jKImB5KWaEi/DwLnvpioKfL8YPNW1k63R8IB8Z7xxBIMcLe/JTsbeyER3mQbxx/BJ+eHrhhC7wr+RFU0yqjm7Po72muf5cVLVMzK5zYHJICvaj/OYASGOwew2TXfG+F/BTXgUl2tp/rG1DucqApGB63bAoIQdlKgOWzpKgXGVJEpkMur7enI1wmxZ5Yj+789Mww8MNX11U2Z0LkRAXyDV4fqxdeVOijFZW6PttC7Gc5nPb7ofJvnMSpAJ8eYG+26JArkFpkx6bEmXwZ9C7JfaXFT5u1lGmMuDh3QUWdrWpF0UNOsQE8JAW6ofLGhOpe2zNLslimMA4wAxiFX8i7VWiBf7PD8VjLU2L+nuPJpOyE31Dw5gfwIOrsxPJgDm6PY/SMUTsl4nlUtSgwwOzA9A3dM1u8kWgQK7FO6uScKS2DRF+PrTnHcKbgeUfnLCLoSghB/914hL+sDQGHJY7Wjt78cCYXi1THnOzi7k3O5+732Et8ZURIsCy2YFk/tRq6sPeykYkBgtof9MArhcGh0fIMYoYe3esTKCVIin4+WJUNrcjJdQPP/9HORZHSchCcbW6kzTQI4zy/j1nDlbtKbA77p78NOyvUiJbJkJyiACvfH+e9tqKGnSQcLyweV8J2c324oGz5HmG8GYgb+dRRPtz8e7qJGS8cwRHt+dh+1hHHtHGHR/ExwOzA8FjezDGV45MjIwwETLCRKhobiefhzeOV+P3S+bjVwcrLN0rhTUI4rKxs6QOK6ODkBEmopWnyQwT4p2iWpSpDOT5rfu0iPJ7OrrqHHDgzmOymsJzxNxJaR8DloIzUx1huttOZZ/JwZPXX86NoDfUypFRiUePREupJtRl4ybUtkhlMvcLoc5/piI5MTA0jINbc3FZ0wm1yQx/DgtzxFwM0HRUTXa/xQxEi2KlDk8suPs7QpmIIsVKPYUlfz9iZ0kdlswMgMSHBQ8XAfhsizHjzjN1ePPB+Dt9erccOTc5V55U0fjVV1/FV199hV//+tf46quvsGzZMjz33HPTOuCdAp2uZla4aNrJWEWzgVY3qLRJDy+38Z/VdjIZwPHCF09m4rKmg2Ic4uHqTHtjQ3nekP7hazyVaGl1+ahUjv1PZuJsczuKGnTIlomQM6bx29jYiGyZGB+WTew6nR0ugoerC9qsNA7fOF6NhZFiHLpMz3g7VqfGp2NtLkTr9J78NLx6uArH6jX4w9GLOLo9Dzwvd2z74gw2JoSDzgV+bWywnTYUMYloNfWiSKkjXd5bOnsh5XrZ7QNwMIqmipMMelwFcu098dKzRmqIH60u471iSmAND1eLe2+hlVZWRpgQzgwOxvcbRN4s5MrE+PZyC863Gilj6oIgPtLDRFjyvqWF+EhNG55NjUK1upOxk6GsyQCOpxuj1I8vy52i60kYd9XoTChT6REXyMfR7Xn4W+FVKNt7aPdzWqGljPHE57Yt+JN953BY7uS4bYuYAB4+OdeAd4pq8eDsQOxak4orOhOKG3R2+0uwMfVrNfWRxZOjtWp8cq4Bn1Y04ON1aaQmOKH5/N8r4iHy9pzsbXNgDNaFeuI9Vqsz4UJbB+IDeQgX+GDT3mIkBwtQztAh0dDejQfnWLSIt6dGgs92x7F6NSllwRTr1tJV1kiUCjA4PAJ/H3fEB/LwAc15p4YKwWG5k/FqHaexgTzIxs7bNoZ+qGlDlJCDKCEHvz5UgRyZGDEBPBj7BlGt7mQsnN/sYu7NzufuZ0xkGgiAXBgjxkKimEvE7x9/vIgdKxcgPVSIanUHanQmsN1dGePyWJ0aK2YH4ptLzdB192PmWFHVemyXG7rwwOwA9A4O4ySDPnWtzoTV84IxW8xB/+A1xDIw4pOC/cDxdCPNnGt1Jni5uaKlsxcfrknFqt0F5D5Vnb0o/eUyVKs7cLxeQzHR21OuAHfsmbhefD06T4p5El+clmth6O3HzseSSc3wC61GbEwIh6+XBwoUWvwicxZmuLvSPhexgXzKNV9ooz7TDtkgBxy4O3C+1Uira3uhrYOiFTxZ7WMAONOoZ6gjGLDaRn94stsyb6e32+cJhnM9STMvrBzTSrb1xalqbYfUlz2JfdpfP2NBy6YQb51nWSObhujg4uyM5o5eqDp6UdHcjvggPnw83ODPsc8NGPdrk6/c63NOpvNnYqHeT5gj5iJv51FsSZQhLoiH76604qNyOfbkp97pU7stKGUYD8qa9BSzycliUkXjQ4cO4Te/+Q0A4O23357yQe4W3Ig+pS0I3SAiECubjXju63JsTZbZaZ5t2luMA1tyUK/vsjOKASyD5NurErFjZQIajT04qzIgJ0KMCD8frPzoJABgV7kcu8b8OkwDg3j/sRQ8YVMU7u/vR25EMK7nOi31ZSPjnSOUz358ZhHq9OPac7aoaG6nXBeR1D86LxgX2zrI6yQmzRlh9KudEQIf7K1spOybaKl+bblFq+nVw+fRNzRMTmocjKIbBxPjrFB57xWNoyW+DMx03zt4VtODqX8IT35eZKeV9fG69Dt9arcNRUod0kKFYLu7YvWecd2w3eUKzBFzwfNyR6upD6VNBrz10AKK/rEtTim0jNIeJUo9hq6N4oHZ46ZItoxlYJwV8aejF2n3U6DQ4qkkmV2xjq77YbLvnFwGFgvBsgaAQ1dacOhKC15bHoP3Hku228eHZXLKOyQ5RIAg7gz8/sgFcDzd4ORk6UDpHbxGq+M2Ucyx2VNPLn4KsL5vxHtsXVwIfr9kPjZ8Vkzeu9eWxzC6OBc26PDbxfPw6J5TKFMZUPz8UrJtcyIfA0K6yjoOCYYwwaz8enM2YxePNazj1Njbj2P1GjwwK4DMQx766CRaTX04uj2P8rwQbGnC+Mw6BzjfZkSuTHzLjGtvZj53P4PJNPCSuhOG3n7KIlPezqNIkgrw5oo4KNu70drZi5cWRuPD0npsTJSRY+9EcVnR3A4Z3xsm8yBkAm+8cbwaHzyeguP1GpjMg1gXF4pIPx9s3FsMfx8WqQVuC8Jczt+HhV1l9RMy4ol4J9jJMoE3ipUWSQ1rfeNTci3WxobiI6sFOmutP1u9eab44rE9kcz2RHKwZdJd1WrE81+X27HrvnkqG6cVWmi6+2knbnvK5ZS8mug4oGj6O7rqHHDgjuPbyy14aFcBRVM44j+/wdZkGZbPDiS3m6z2MQAcrVPbmYKWqQzYmizDahuvGWLbg1ty8NCcQFxo60DezqN22xLbWWsqE7WJ1fND7M6JDnTzwtImAxZHSSATeCPSzwcjoxahntJGA1bOHZfeYLr+Yprr7xscoiXN9A0OUbazJUQAY1r8VotuBIauUfWPibGYzvMmLpBHu9+4QOoC5b0+57zXz/9GkBshJkkyVS1GxATyUJi4hLLQcT9j4jEmZMr7m1TR+OTJk3jhhRfgdI+z36xb9HJkIspkZqK/0WH5LAkejwlBjc5EBuLRuDx09PXjzwX20gxebi4I9WXjIoMJ0SV1Jz4514BXF88jCwIfn1VQEl4C1q3rlLbDUAFyR4GvNmahVGXAj7Vt2LshE5Ut7Tit0Nox96yPX6fvQrFSz6hvmBTshw9tVqrOtxrx64VzcbRWDcAy6di0txhfPJkJb3c3HNySi/NtHTh0uZlMkv9WWIPUUD9aVl0Axwttpj78InMmyZ4G4GAU3QSkjbUB2bak34syCAp9F+0ErMHQxchGultxvtVIjgfWE8ULbUbMk9z/L3TAouHKZbmjWKnD7vw0VLd1oKRRj19mzoSPpxveXpWIS2M6rAK2B55KCEdRo552DEkJEcDfm747IS6QBwmHBWcn4N3VSdB0m6FspxoUEc9H7+C1CV13uZ5udp/fSPcDHbNtvsSX1qgpgEP1wl09AAAgAElEQVSf7KSOactxPN2wPj4Uvix3dA8MY3GUhGQU58jEODumZ2YNC8vNiDAeGzM8LTqfti3tvt1mx7hrA+v7dqJeg/hAHmaKONB092NjQhjmSXyRESbEA7MDMDg8whhP+6rGtQdPK7RIHzNzYeoYSg4WID8ulCwAn1boMF/iiyghB5v2WkyKCW2+z57IQFWLEUVKHTLChJD6stHS2cs4Vg6NjILHckeCVIAQXzZqtCa0mvqwYk4g2kx9jKxQgiFJFB7/e0U85vDcwb1DMTPVnO5+BZPZkqqj127hC7C8hz4914B/y5mNjr5BpPztByQHCxAbyMfa2BBUtRjx/pk6xk62mAAeylUGpIT4IdLPB1wvD5xrNuBMox6zxRxIeTPwY50ab66Ih76nH+ouM61h58aEcBQrtXhwdiDKVQbS5FNh6EJFi5E23mt1JiyJkuCtgivYsCAMn5xroOyXGKOtu03o/k6HieLpsrqTQTu8A/MDfCHoNJPPhfXE7Z1ViSi00s8kOkvozokfFIb9VcqffDw74MCdQF6kP9bEWvx6vjjfiPljvjAdfQOU7dLD6CUXMsLsiU7EvMzWpCo91H7bDfGheHXxPJyo1+APP15EWqgQTa+uQpOxh/E8rf1rOvrsNYXTGeQhMmiO/3RKBDRdZrJDbX4ADzESX2xLiaBslxVOL8VDp5l/RWsCl+WBIK4X1sWGYmR0FEpjL7r6BzBTNL6w/WFZPS3L+cMyOd54MI6yzyIls05xpJ8P5fPd5QraueSucgVlv8Scs9M8gE7zILgsd3BZHvfMnLNWZ6K9znqd6Z44/xsFHUnmXpTmnA4ICRgnJ5D/AHsJmMliUkVjLpeLpUuXYs6cOfDwGHf6ff3116d10DuB67XoMf2NKSmLD+QzagH1DVVTtt23IQNrPqY6rNuCMA6ZZ8UAup6GEtM17ViZgHeLanFwaw5e+OYsFIYeyATeUHeZ8ZdTVyiFaKJIomzvgXCGJ4J5M2iPOVvEsZtgJAX7oarFSGGA7N2QAXcXZxyXq1Gi1CM9VIhnUiLxHz9exHNjWqH1Lz/MqBdHR5d3MIpuHHmR/rQt6aG8Gdf/8l2GlBCLDlfimDt7xdgklk6H624Hk9ZUyU9Aa4pAuMCHohG8JVGGRVH+WBThj4NXmvHUvjNIkgqwdKYEJ+Ua/P2sAnvy02jHkKRgP3T2DdL+bY6YiwiBN07Ua7Du0yL8bvE8ciy0lqm40GpEuUqPvCgJFkaIcdzKxMtiAuaHvZVUI9ib0f1gO861mvpIlrX1cXIZChvxQQJs3luMlxZG46K6Eykhftj+VSnld3hp4Vy09w7Qfr9EqcdVrQm/zJwFYOrvxJ8qiPsm5XrhxQMVJKP7pYXRaOroxSm5Fp5uLkhl0BpMDfHDU/tKyM+4Xu6Q8b1pO4aIOK3Xd+HzSiWSggVYGCGGs5MT/na6xu4dXazUIVzgjVMKLQaGr+GHmlY8mxqF5GABtN1mVLd1oLmzD0FcL0RLfOHsRL3vAFD43BJE+3Pxn8tj8dfT9F4FtgzJvqFhhPDYUChqEB9/+3XjJsr3fmrxS1cgTQ4WIFEqQADXi7Z4mhkugoerK2QCD0ocbvisCDsfTUbv4DBFp5gA0R3RaOxGlNAHq3afQt/QML7bthB/PFqN/LhQPDLmmZEcLMCLWbMRb8X2so7vj881ICVEALmhG0tnBuCDUjnydh7F7xbPQ2IQnyy2JAcLkCMTQW7oxvlWI36ROcuiDS7xxXM2LHxijJ6qJvZE8eTp6oIiJX1hvqxJjwK5BttTIxHtz6UUh2w7SaL9uYznrO024+GPixzx7IADdwjEvON6+r+5THroNGML8xzffttQvvektJIne54Ac4cbnUHfsA2Dl9jWlsG7IIheGz8+yJ4VPEfMxZqPT5PdhXJDN/qGhrH/yUzKdtH+vpRFt93lCpSpDPhkvb2vw1T0j2eLOBTpAqJj3Fa6IC1UCKWxB4beAVLyQuzNQuo0C2+3GzEBPKy1+p0/OdeAvqFh7LP5ne9HnFbQmygWNuiQf495IE0HiyLoaz/BvtOr/UyqaPzII49Ma+d3Eybbomf9t4m0xE4w7K9AocV323JxvE6D4kYdVs4JQqOxF9XqTrDdXfFsahS98HuYELkRYlzRmEh9pAAuGyeeXYwylR7fXGpGeqgQuTIx+Xema6rVmQAAGz8vwXuPJaFArkGRUocEKR8RZsvqnG2RZASjyI0Q4zffVdqZgyybFYAtVpNawPISyJaJ8F8nLuH7q23Yk5+GTvMA+F4eFLMf4sW2Y2UCDl1pAQC88n0VDm7Nxcl6DdmSkhMhBsvNmfH+0cHBJJo8hkfoX/gHt9x7hVZVRw8Obc3FiXoNipU6pIcK8dvF89Dc2UvRFrsXkBbKpDV1byQjNwOFYw7G1mPS8To1zEPXkBvhTxZuI/y8SZkKXU8/3l2dhAttHeTK+XyJL9p7B5D/SSE+eyIdqo5eFDbokCgVIDXED+19A2js6CWZd0dq20i2HJOx3sGtufj+SgvJ2Jgv8YW3hxueTYvCbDH3lnY/BHC88N22hThRr0GRUov0UBFyI8QI4NAzqYsatHhpYTRePHAWbHfLq71a3UlpUyyQa7A9JZJRn+20Qjftd+JPHeECb7z1UDyZnJWr9FgUKcG3l5rxY00bxN4s2pgdujZCKRzJBD5448QlfLkxC2ca9fixtg37NmSioqUds8VcWvOxL57MomWNxgfxwXZ3xa7y8ZzjgdmBiPDzhsLQjTpDNy60GmEe5sHL3RViH5bdfV/7SSGKnl+KS+oOxk6krHARPF1dwHJzGddMUxmQIrF3Yb8dYMqNforxa10gtS7Kvl1Ug8wwEQqfW4K1nxSSi1PR/lwkBPFx8HIzfp4+k2TSE51rV7Wd+HpzNspVBkpnSGyALyL8LPrFH61NRYFCiz8si0G0PxcibxZOPLsYh660kPdFJvDGj7Vt+JcD51Dw88U4VqdGglRAG98Ht+aS10CM2y1jcilEDrs+PgyLIsToMA/iyDOL4OwE7N2QQTtGT1UTmymeTso1qNWZME/C3KFX2qTH2k8KcfJni1HSqENRgw5xgTzkRUlQ1KDD1iQZ0kKFmCXiYPDaCN5ZlYjzrUakh4mwOMofIm8W9lcpHfHsgAN3EEVK+uJTcaMej8dMT1N4sjrJwOS1kk/K6Zm2BQqtXXdIaROD3qnKgFU2x58sg3dXuZx2n7vL5HjdhhVsy/TdsCBsTLZHQdl2wZg8he2iWzyNPMVU9I/jAnm00gU+Np2EzlbGxMD4/IAgHd7tcHd2puSeGxaEYb7EF+7OU6u53ItgkoU7pdD+JIrGI2Co/UyTZDfponFLSwvkcjnS09OhVqsRFBQ0rQPeKUy1RQ+g1xIjtB2LGuh1e043aHGkpg2LIv3xi/RZ6OgbwIFLzeTfE6T02jypIUI8tsfCRs6LksBkHsRZlQFfXVQhRybCH5bG2CW0xDVZFwU+KpOTrB9Fezde+b4K21MikSsT4+NzDaTwPOEwbTsIfrslF0dqWkntuWDeDKzefQpvPBiHR6Kl5EsgRyZGWZMBcYF8kgHywWPJKGZ4sbZ09uK1ZTEI4LKxMEKMs80GOAF4IWMWfL084OIM8NmTL7o4mERTQ4GCeRJ9r2kae7q70brz7s63X3W+2xEbQK+pFfMTaBkiQIxjExVuT9ZroO7qg7+PFz4skyP/k0LsyU+DaIYnkqQC+HNY4Hi6Y9kHx9Fq6kP2//6IJKkAW5JkiJH4olipw9NfluI/l8eQzDuCPbc+LpTR1Onw1VY8NCcIbi7OEHuzIOF44VyzAQ/Nld6W7ocAjhc2LAjDhkk8o43GXrSPGZI9ER+Kzr4B1L/8MAobtChR6pEW6oeXFs5F3+Awo77Z0Vr1lN+JDlgwMgraicWHa1JRrjLYxSyX5Q4B2wMKQze2JsmQHiZCXCAPy/7vOHJkIhQ2aKHr7od5aBjDIyMI5c1glLeqbGnHurgQfG7lFxDtz8WiSH/sLKnDu6sTUdFixGVNJ2a4u6HDPESbSH69ORtbEmX4yKrI3Grqw/E6NWr1XXg6JYLR0Kt3cBiebi4UzbQl4fNu0a89MfoGryE5WIDSpuvrjt/vsC6Q2npqWOdNfzl1hZzgf1Qmx/JZAeT3H48JQc/AMLbsK8Fcfy74Xu7w9nDD/2fvy+ObKtP9v92XtE2bJmmT0CXd2FoolC7QlZaKqIiDiiyCwKDiDI5enateHbwz4ziDF4f53RkHcPQKig6IiisolL2LULqwFrol3dOkabqRtnShvz/Sc3pOck6adE1Kvp+Pn2HSc95zTvKc533e532e73d/fgW2Lpqu84s1apSq2vCPlXH4x/lbaL/Ti70U7nUex4XWWVOh7sDmuDB8eLECaf88gePPLkFhLbNY5PlKJU4/l4mT5Y04U96IJREiRIt9GG2YGgMa89HmdLCxrR/OVijR2dOH5BDmir2McH842Nth9TwpCmrVaGjrQldvPz6+JMOvvsonK+ca2jpxskyByuYOLJ0uhoTrDkVbJ/kcbNe/F+3ZBhsmA8Q7qE/xp/8OmsMhSvAkE0L32TIVNh3KM+BJBoa4gvWvr8+VnC1j9hXnZYZJ4xOlg/zHDNpMK+fQOZVNreCdJ/FhrN49uD7Z4FxTj2WjkdBPLgO6LhkmX8xED+Lq6IAnv8oxOPbLjfTqaWvfhHZ10nW4U2NP6udTGcZoBu8F5MhYNrtkKqweQdLcpKTxsWPHsGfPHnR3d+PQoUNYvXo1XnnlFaxYscLsC04W2DjMAn04cHd2MMpvps/tKO7qIbmI9JEs9cPicD+cLFPg79k3kRQixEtps/DjrQaE8T3R23+Xsdqoq7cPsQG++HXyDBwskuNsRSPmSnjYkhCOTwtkOFpSjzcyo+Dh7IjCumbcVLZj+SwJXkmfbZAUuNnYCl+OK4rqNbhSr0G5ugN+nm7Yk1eGPXllOPZ0OorqNIyGdLJMgVmDbdw5chW83JzR099Paw3Jq1JhupCLJz/LQdbWTNJB17V3ooGBgxnQTXgZESIsCfcHj+OKFdxAxuNMhbU7cSrqW7U4NVg1mygVIiPcf8wrZnPlzDQIuXKV1SWNryuYEyclja1Wx8/k4+aC3Y/G40ZjK8nVNdvfGz6Dk7q1gEgskTYcITKoiGXrDFgc5odrihbWxO0PN+rQ2tUDHzdnzKO0MhM+KS3MD5nTxfi+pI5GN/GnB+bhlqoN/7pQhvnTfEn+uSSKSOfGg7n46ZkM/D2bue2+sLYZs/29ERvoC193V7Lqt6u3f0I7G5pud6Glqxc5MiXya9RIDfVHejj9+qmhftiXr+MtD+V7YnN8OO7/10mDJObRLRn4ZvNinK9UGlS3VKg78FRs6LBzog2GYJuTLtWoMV/CA8/dmTaPDmAA3u4ueCvrGtLC/PDgTDGyBoW7KtQdeCI6GM4ODnjjx8t4L6cU5a8/go8LKhmvfa5SifdWxuO+werFhcECpIT4wcHeDrP9uciTNyE11A8vp81CbYsWOTKWaqQKJZZHTsMziyLwaYEMl2rVuFCtRqAPB4khQmz94oJBJ9KSCBHS/nkCPHdn7FoRi/dySgHoYqHuAQd8VyTHuUrdO58ZIQaP48L0CGMCwsdcrGnCupgQvLVsHjYezCX9wr1qv0SClK1iNUemhNjLnUxw7HksHlJfT9pxfI4z6VP/XVSFNzLn4I1jxXgvp5Rm00tniPHXcyXYv2YR3jl1HcE8Ds3XE37lQrUa/++RWNIX7zh1jZW+7bxMiRBfDywMEuDuANB5pxfVLVrW6t/V86S0+SY11A8xAb746GIF5kl8zPbdxBxFTdYAuoXnhxfKsfFgLlktXVjbTCY1nj78M9n9cWRjGgYGgNePFZPjEpVzRzamYm2MFMdu1qO4TscXuiRCRLu+zR/bYMPkgapjRHQ2vLVsHrR6om3sPMWG3YPEsVShe92xhglOKlcx9fr6XMWsnMoMYy6dLibHpGoztXYZUpglD+os6CM1lP5cKaHMwmP684k5xxLJZf1EPFMiurBWzZhgLqprNliTXGLZpCyobUYYf6h62to37exgB5GXG9rv9KK1uxfuLo4QebnBDtatU2YKkqTMmwjWqOc0EpyrZK60PlupHL+k8QcffICDBw/iySefhK+vL77++mts2rTJaNK4t7cXr7/+Ourr69HT04PnnnsOGRkZ5N+vXr2KHTt2YGBgAAKBADt37qTxJY812DjMIkXe6Ls7wPi3RKmQpaL1Jo5S2uWo5ywO88ODHxhWQR5an4z9lypRWNdMcnQSzm9bjRr7Vi/CloXhWPXxObKN8Il5UhTWNqO7rx8JwQLYAXj/5zKkhYnw+rFiVG1fieUMFZc/bElnrMQ8tD4Zye8dx84zN+DmxPzTX6xuQnwQH/cNPjPRzlihbkdRnQbJIUIsChYge7Ctrq5Vi683peFijRo1Gi1SQphbQ5JChGTCeCxg7U6cQH2rlpWnaiwTx7rdNsNFR3yQ9e22sSXAc2QqVnEeS8XPVSrwOK7gubsgPpAPrpszuvvu4kK1Co96B0/27ZmE+rZOPEjhJCZt+OkMMkgz1hmQFuaPq4pWXKnXMI5/paEF8YF8cFwc4e/patBWnCgVQtHWiWiKQrB+1TIw9F4RQnhXGlpwpaEFZU3trH4rWsJDdqUSyyMDaLzLH1yoMKhqGw2GE2mtVHfQquqYrj9d6IX/SJ2F0xWNuFKvwYnSBuxaEUtLmunaGRWoVHfgRKkCYXxP7M0rw65zJfhhSzo6e/sQOcirbw7npw3sc9Lleg1uKXVCJMQ8mhbqh7kSHvbnV5DCrzyOKxmnXKhW6wT12rvI3+Glbwuwam4wPmSZX/vv3sWDMyW4qWzDv34uR0aEiDE++PKpVHx5tZrxXi9WN+E3KTORI1Ohu6+f5D+b6cfFT7cacKq8EafKG8n4ZX9+JfrvDmAa1x0XBytN4wP56OztQ1qYHzL2ZpFxxKroYHxxpRrF9ZpxoZPS9zGAzmb3r0lE5t4sm/2C3UYLapvR1duPizVqRIm8kRkhMqALiwng0/x8cX0Lvt6Uhhy5Cjnyoc2n1Z9kI0rkDQmXg40HdbRmVF9P9Ss9lCKK9u4e+Hu5MSY8osU8vPxtITp7+7BrRSz+dv4ma4L5THkj7psuZtX7IGyB6juHozpLCvFDa1cviuqayWTNjlPXkBQixNOHf0ZCEB8/3WrApwUyWlIDAH4RFQh3J0fk16gxy5+ZB3qO2AcP/98Z1qppczmYbbDBhrGFvv8DQMa5VAynRWTasYbv9ag5lRnGjA/im8x/nBLCknzTq+DV3mHuYtJV77qN6FjC/+nTUzD5v2M3G/DBhXKDBPMzCeFYPpveIX+uknk+PFehxOp5Qwk1a9+0y6tSwsfdFS4O9gj19SAFB1s772Dl3KDhB7BieLo4MhZqerqYlP60esQGjG2ltUnfmr29PTw8hkiThUIh7IfhQvnuu+/g7e2NnTt3orW1FY888giZNB4YGMD27dvx97//HUFBQfjiiy9QX1+PkJDxS/gY4zD77noN486UvLkD9Sxq4VcaNPhm82LkyHQBc5JUiJRQP/xc1cR4fHWLFs8uDCd/PP1dyMb2LjS2d2Gu2AccZ0e8tWyeXtIDg/QRi3G0pB77Vi9Cs/YOVs4JBMfZkax84Dg74jQL91FNqxbHn12CxrZO3AUYneCCAF/cUg5V/NW3dZI7fH9dEQM3J0e0dvdC4OGKhCABxFx3uDs7kg5W2dHFPAmGCscsYQxYvxMnYCpP1WiRKBUw/i4LgwVjdo2JwqJgZh7gRVLre5bQwXZhjvOQEIS2p8+qqDZOlSmYbbi8kaRVGK4z4OXUWfihpI4xYZAe7m+wEaTfVuzsYIfbPX04vCEFpU0dqNJ0sPLP8dycsfRfp/DL+DCsig7Gmz9exq4VC4yIOt2m+USm+x8NhqPaudbQgjI18/NQr9/Tf5eRT55ImhHIkaswT8yjqekSVaZ5z98Pdxcdnxt1vkyW8pExXWKj/jECtjkpJdQPd+/eRamqDbGBfNxobAXHxREdd3rx+pIocCldBUSccl3RinMVSvz38Ss4sikNbV09aGjrREwAM53N/Gm+KKpvwZIIEV5ImYlfRAWyxgFXFS2sVUMpoX7YceqaAc0FYQvU1tjPBsUgo0TeWDpDjIs1alxu0ODtB6Lh7+WO8qZ2uA9uTutv4owHnRSbj6nS3MbxZ5eQ3Lr3MthsNClEiIa2LuxfvQiJUiE8XBwh8KB/V/rV6YV1zQj78zcoefVhPDonCOVN7fif0zfwfPL0wYRxLnks1VcRtlTVfBuV6g5sOpRHtifPETHbN1UwrlLdDhcHB1Z+7QUBvrjAEocTmxoXa9Tk/Qznf5UdXazJImcHO6ybL8XKqABounpgZwfyvSBA0MWdrdRVS3++IQWnyxvJtUZsIB/HSxuM+nc/Tzd8syEJ+Q1t48qjb4MNNjCDrTsnV66ixYDm8BSzH6sxONZUruLCumbmStt6wzHZYoQzFYa0hcS4lep2sisylO+ForpmBFDGPc/yPZ2vVNGqd805lij06Lt7FwMA7AA42tvDnqFQlpjj9HMsTLkBU/MI1r5pF8LXrTNXzwtGXCAf+TVqHCqusqp15kiRK9cVZlGpObr77iKvqgmPTvGEOQBaZy0BXVHsyPIlJrFgh4eH49NPP0VfXx9u3ryJ7du3Y8aMGUbPuf/++/HCCy8A0CWJHRyGqgLkcjm8vb2xf/9+PPnkk2htbR3XhDEBokVvz+MJZCAG6HamMvdm4UCBDF29/ThQIEPm3iyUN3WwVmack6mg0d6Bh4sj4gJ84eHiiM6ePlyqbWY8/mxlIzq6exEXaEjcLuG6Y9W8YNS2auHq6ICnYkMh8nKDprOHdhzhTB+aNQ2O9vbYm1cKiZc7PnxiEc5vWwoJ1x1hfE+S+8jgniuUWBIhwpOxoYgarMqjglA4PVHaYHDuxRo1PrkkQ7SEh3kSHpbNlGBTfBiWRIhogSux6D24PhnPJITjsyeTcPipVPwjtxyfXKpEcb0G312vgbKji/EeTQXhxPXv31qcOAG23yqH5fORYmBgALsfjcd7K+OwJT4M762Mw+5H4zEwMDCm15kIsNlupMhnku5o5KhsaseuFbFYFxMCV0cHrIsJwa4VsZCp2yf71kwGuw0P+U5jnQGAju9y6QyxSe+0sqMLnxfLsfWLC/i8WA5lRxcEHm6Q8jwRIeRi+expyK9h9sNnyhtR06qrur3T148vLlfhYo0aqz45jyOb0rDnsXjy/di1IhY7Tl3DomABQviejAJ0xP2PBsYS6gBQ29rJWoVNvb4xYdR4yq7yfREixAcJaDaXtTUT1xpbyIQxQJ8v53v02RIUw4BtTprl742e/gHMk/Cwct9ZvJdTimMl9Ygb7CzQh5+nGzIiRChtasf+NYnIr1Hj8OUq3MUAevvv4h8r42h+fNeKWOzPr0Bti5Y8PzaQjzyW9/L4rQbM9vdmvNf503xpCWNAZ0P5NWq8sni2gc1IuO6IDxIg0t8bWVszcV+4rqW+u68fytvdCON7IiGIz0o9w1bpMxKw+ZhLNWqDOOVeBZuN3jddjFczIrE+NhQhfE+DhDFg+P1KuO7I2pqJXLkKL31bgFuqNvzh/rno6O5F5t4ssruBPH/QVxF+5ZWMSJQo25C1NRPR03gortPgqqIFRzalYf+aRdiSMGTf1AR0wWD33QwhlzWGpeqIUEEkcKn3w5Y4IWyTza/mylVwtLfD7zLnoLW7F/k1atp7QSBawkOFugNxgXzwOa7YdbaEttb4R/ZNFNcN79+ba2WM6xcbbLBh/DFcDEvguxt1CP/zN8iW6Tbns2UqhP/5G3x7w9AnsR9bZ3CsMa5iKtjyGcdK6g3OZVtnZssNr0UUphFdkTx3XWf4hSo617Ex7mNTPmP6vKSxFQE+HFRptPh3oRxVGi0CfDi4qWwzONec3ICpx+rnNQ6uT7Yq/STN7W58vyUdYi93fF5cBbGXO77fko4WbffwJ1s5ssoUyNybhXfPluBspRLvni1B5t4snCgzzHNNRXCcHBlzPxwWtoHhYNJZb775Jvbs2QMXFxe8/vrrSEhIwKuvvmr8RgcF427fvo3f/OY3ePHFF8m/tbS0oLi4GG+++SYCAwOxdetWREZGYuHChUbHvH79uim3axY4HA6Sg/mMO1MSL1ekSJnb+jfHheGJT84bZO8/35CCd8+WGByfGCzEz9VqMjFCPe/Q+mQ88tFQaxpbhVhCEB89/f0oa2rH+n/nABhqU979aDz2r0nE9h+L8ezCCBZOIz5u3boFAJB3u5C7hoV1GswV+2C6kIs/nriK+6YzK54T52u1WqPfKQDM4XCw+L4ovPRDEdZ9mkP7jnatiMXS90/ix82p6G5rxp07d0wakwonJyd8syEJeTXNOC9vQopUgEWBvlDKy1HX2zvs+TExMWZdb7Rgsl2xWMzKjZ0kFUKhUKChYfSOTSwWw9ONC01nD2YKvTDLj0smiz1dnMfsOhOBkJAQlKraGHfSS1VtCHa3g0wmm+zbNAlRUVEGlcafFcrISuOenh5cu3bN4DxLsF0Cvr6+Rm24qqoK3d3dpI/VB9WnmPJO+waE4JFPcgyqwr7ZkITmWt3vTvXp+kgJEZB80S6ODng8OhjXG1txoVqNtH+ewJFNaZjt743sSiVKVW14LSMK971/Ejx3ZwN/rH//IwGPx8OZCubE8+lyBZKEzhB7urJW1aWECHDr1i24uLiwjkMkSojW8/ggAY2+KCGIj7Qwf/xq0XSo1WpUVzNTFxQWFo7gCemwJNsdKdi+B6r9ZsvVmDeNhzC+F1b83xnUt3XS5nQ2u+FwOHBxcYGdnR02x4Vi1SeGleO7VsTigF4b/Hsr4yDhupJjGptboiU8/PdPV7BrRSwU7Z3IlqkwV5QY0+kAACAASURBVOyD+CA+9ucbHg8A07w5WLn/rEG8c2h9Mrr77iJzbxbWzZfi3Ydj8It9Z6Ht6cNXG1NxurwRGxaEoMhIUixJ6Iz29na4uLiMKBYgvjdTfAwV5trzVLDdkcZNTN8vW/X44Q0ptHOJ6vRfRE6j/Q4cDofVxr//ZTokXHf87thlA1HOBQG+2JdfiY0Hc5G1dQnOVypRQOER/uOJq1gZFchq+wcKdPNEspQPdYcWZ43438USjtFk0QwhF++euQE7O52wHxGPUylRpgu56OztQ2qoUNeVGDLEeQroOj3YaLX0bXekPniibRcYm/nCkjFVn4/6XJbwjBNpu2w+19T5hRoPG/IU6+Lh5mZdQUNQUJDRY6mxmClxdnNzs9F8hr4voV6faUzq9Zl8NQDS3xPjcjgcpLB0MaWFCmnXF4lERjqehGhoaIBCoQCPx0MoX8hIufnDlnTI5XJoNEPxhTlznLnzYZyvLxanhUKr1aKurASGqX06LMF2o6OjMd2Pi4c+PE2uM9//eYiSrq+vD1euXJmw+5xIUN8bJo5x6vs4FREaGoorDR2Y6e+N1q4euDjqBN39vdxwVaGBh10vKisNdVKM2a1JSWN3d3e8/PLLePnll826YYVCgV//+tdYu3Ytli9fTn7u7e2NoKAghIbq2u+Tk5Nx/fr1YZPGkZGR48J77MNCqTB3mi/5b+rf1s2XsgrJFddpGFXMF4f74/sbdfi8uAoH16eguL4Z2ZUqPBw5DXLNbaMVYnVtndi/JhG3VG3Ir1FjYADI2ppJclXq6DJa4OfhihBfD1aeJGp7sc9gS567kyM+eGIhdpy6hm1HdLPWb5JnkucTAf/AAMxuT/68WM5YtVTXqsXexxKQVdmEvKomHYdcRNCIdu2ChT5Yu2BIuRVCy6w2ZbPdDDctK/+VyJsDkUhkcM5I8OXlKvA4rpA338alWjViA/iQ+nrquHPnBo/ZdSYC83sdsOqTc4gL5CNmGg+FdRq8/3MZDj+VCh8fr0lZII0URKUxVdxihpALmbod8yQ8i3iW4fyuk08nsw2HD4nhsflYJp9i7J1mE3LKb2jDKsp3xXa99Agx7O2A7G1Lcb2xFV9eqcbmuDBSMOuFr/Px27TZKFG2oULdQQYZOnGydrK1mRjv/pkBoxb2WtwK5iA7zB9isRgOnl3wdHNmfR7i+2MbJ1EqhKK9C3sfi8e8ab44M1hZR/DVE7Z3rlLXicJkc4WFhRZhi+ZirGMGU76HYKEPQvheeOnbQlqQSszpa+cHM9o9yat6TcerOs/djrHbqGKwC4FKDzFX7AO+hyu4rr6YMTgu09yybr4UqaF++LRQhpe+vYRP1iYiWsLDjlPX8GmhjDF5lRDEx7UGZvFRueY2TpU1ImtrJm6p2vDmT5fxVGwowvheuN7YimUzJChrasMiqYBxcRobyMf1diDYV4z3CZGyEcYC5vgYa7Dn8Yp3CwsLsXZBjNlxE/X7NVY9XlSvi4HPVapo/kXT1Yu54UGkfQLAwSJmf35epsR0IRdhfE+EC4bE56JE3gjle5EbYB4uTjgvU8IOduQGSpTIGxkRIqM0F4TvLqprZt2QSw8XQSAQYFFwO2OyaFV0EJwd7JEQLKAJU208mIsqzW38sGUx/L3cUapqw6H1KbCDHdLC/NDbf5d2bxeq1di5PGZY27UGm6XCmu7VXBj8Fv82LBSyVhDPZW32NhYw5nNNnV+cWeLhjHARxFx3BAcHk59nOLqxrv/43hzw+XyzxzVnHjTn+my+uqheg9XzhjrP2a6/ONyw2yfOqZ3x2NgAPsQCL4jFugK2Ty5VstBo6GgcpVJDQa9goQ8W+joM/c3IHGdKHoGMzy5VDuYsZllUpbEx271Q1URqahTWNpMx2sXqJjw6N3hKv+fDrU+p7+NURDSc8OCHpxEboMuXfH2tFpeOFePolnR4e3PM/u2NJo1nzJgBOztD0piBgQHY2dnh5k1mxXkAUKvV2Lx5M958802DZHBAQAC0Wi2qq6sRFBSEgoICPPbYY2bd+FjCGN8xYMjt+ODsQLz6QxHjWOcqlfjrwwuQGSFGbpUKK2YHID5IgL+fL8GfTup2gt49W4Lilx/EdUUrLtU0G7TxESAqxP70wDy9ig7DSuTL9RqsnS/FPx+Nh5ers9Hn0X/mTwtk2H7fXDw4axrOVSih7enFj88sQcedXuTIlMivUSM1lJkr2JiACFuFRpTYB5sO5o4rv6G1QOLNwdEt6Thd0UhyY6eH+Y+pCB4ARAi52PDvHAMb+mRt0pheZyLg7eaErzel4bxMiTx5ExKlAvxXRiQ4ztZHbE9UGutPaNbENSXhuuPo0xk4Xd6IHLkSSVI/pIf701p0h/OxpsJUAUwqN2xNixaBPhxEDnKaKju69ETlysmqha7ePuzLrzTgpQSA4joN/roiBp9ckuGBWRLMn+aLrLIGVvEkU8HGlxbozYGyowt+nm6wtwMOP5WKHJkK+TVqpIX5YbHe9djGiRB4oa//LmpbO5EjHxKQ0q8UZBIwtGFk2H9JZlAhCehEHd9bGW9AS8HGq/rZk0lI++cJ2rGEHX58SYa4QD4WBgug6byDJXuywHN3JudRYm45U6nEdUUrNseFoaC2Gf+bfRPPLoxARoQIro52yKtS46W02biuaEWkyNvAhtLC/JFXxSw+er5SiW1J07H58zzKORWkD/vb2RJ8ViRH1tZMRtsM5nmQFZlsImWmYqx8jA3MoH6/2jt9uFjDbBPnKpR4b2U8lLe7SWFngNm/sNGT5MhUyAgXYekMMbJlSvwyPgz71iTCycEO/8orx8H1yeRv++7DC8jffFtiOJkcodpCapgf5k/zxb6LFeS5PI4Lvrxag1XRwUb5KqMoAqvUv4cJvGhCk8Tn+9ck4ovLVciMEOFvZ0vg6uSAH2/WY2AA2LooAv0DA7ROqbQwf0h5HvjX4wkorNPQxHqYODttsMGGiQfVp5wuVyA9XMQ4v9jb2TEKb9kz5FLcne3x/ZZ0nKWs/9LC/OHubMgcagcwjqs/qjnzoDnrT1NF48y5/p2+fux+NB43GltJnuTZ/t6409dPOy63iplGI1euMqr9o9FoGBPKVAwngkocY4z33tKhv/4n5mJrXP+bC2J9eraiEdkyFZJDdO/YvbLG0X/HU0KF+P3SOSPOMRnNshBUBiPB3r170d7ejt27d2P37t0AgMcffxxdXV144okn8Pbbb+Pll1/GwMAA5s2bh7S0tBFfayxA8KwxiRpR/3br1i1w3ZyNinFdqlHjuqIVL6bMwsXqJrxxrAhzxDyyOjjA2x058ia8c/oGEoL4rK1pi8P8EejDwU2Wig6qqEeiVIgL1U1o7OhCWpg/7O0AnpszYgP54DHwJjI9c4TAi3T+Gu0dLKME/ESSUV9x2pgjZSKZTwji42oDc5X2WIhKWSMk3hysXxA6psJ3+riuYK4Uu9HYijliy6zOZkN7dy8e+3io0jhX3oS/nbuJLzemQmgFEzgVbBV81xUtmMdSAWWJkHDdsX5BCCl8xwRjPtZUmCuAqdZ242KNGu7OQ5z6bByWJcpWrJ4nRZXmNus1FgYLsTBYCI32Dv56rgRNt7txp68ff8++hb+cuj7iZNfhp1JxqkxBo1tZfSAb7z4cg1XRwRB4uEHg4YYIgRc2x4exj7MhFafK6eOs+uQ8/isjEsdLG2BnBzy7MALXG1tZKwWpAoY2jAxsdpoe7s/IY8wqXtuipVW3A0N26OnihK+u1ODDwVZUQFcRT51HHR3sMZ3vifRwf7z2fRE+K5IjIYiP7t5+nCxTYOfDMaSiOOFv9Bd8S8JFyCprYHyepTPEKKhrZvVh/710Ds5WKrHxYC72r0mk0WFMF3JJrlo2kTJzMRY+xgZ2EN8vALg7OzB2NiwetPGfbtUz2sXRkjo8NicQPI6rUfHI//y+AP8uqkJCEB9dvf04W6HEzodj8JeH5jPeExGfE/6XyRb0z10c5kfaJpXuKj3cH19dqYYvxwWxgXz8Y2UcritaaeJ151iEqUpVbVgRGYA9eWV4IWUmWWk9V8KDj7sLqpo78FaWjnYqjO+JML4nzsuUWPtpDuID+STtzLYaNQ6uT7bZsg02WAgInxLLHYBUGsx4zInSBmw6lGfwLu9fk2gQV50obcTaT3Pwp2XRWDU3GPk1agS/dYTxvc8qU7CMu8hg7WjOPEisPx+dJYK7O3siLZEl55EoFTIeP1z+AQBKVW3wcXeF7yBPMiFS1qhqp2nUpIb44UOGuYatmM1UEDkMgraBLY4fTsjb0jGV1v8jgaO9Hfw8XBEX6As/D1c43mO7scQ7vnpuIJycnIY/wQhMKs3r6enBRx99BLlcju3bt2P//v145pln4OzM7gx+97vf4Xe/+x3r3xcuXIgvv/zS/DueZLi6ugJgrz6IFPnA2d4ebs5OWHPAkP9n/5pEfHypghQ2ulCtxlvL5rFW4dzp68clFrJ4ohK5s7cP07w52HQojzx396PxWPqvU7TxqGrQTDtr1M8XBQtIARKiElrfSQ7nSJkq39LC/PFzFfPz6FcL2jB20BdLIHCuUok1843vxFoabihbcWRTGrIplcavZUTimqLFQJ3X0sFWwZcnbxrXTQRrhakqxmwbWjnP349zlcwclmcHKyaGu4ayowsnShvQrL2DRKkAc8Q8XG1oQYA3B/k1ajIJZw52nS3B1YYWGk8tYJ5PVHZ0Qa3tRl6VyqBdm9qWnR7uj9KmdlZxvRy50mBx4+trKOBqAzvMVdtms8lsmQpLp4tplCjEGO/llOKDC+VICOLjyRgp2cJP2EzT7S5UqjtwvbEV/5dfgYwIEX5//1ycKG1AcZ0uidXW3WuwycG04EwK8WN8nhlCLv73PHPHWa68CTeVbWRHVObeLHy7OQ1xgXxaopsAEc/Y2QHaO33MX6wNFoPhbJytK6SwthlzxD5I4LiyjhEt4eHVH4pI2hMi6Uq1V6Y4tqenh/Gaxp6B5+6MzL1ZZDImr0qF6UIunv/6Enk/ux+Np/GI17V1oll7h3HMy/UaLJspwQspM2mdHMRYh9an6PQLiuSwswO6evtRpdHxfOrzLlL9P6ETY4MNNlguCGFo/XeZKa4ifKRccxs8d2fINbd1nzPEfezjGq+2NRU3b9402qqeEsocAySH0JPG+rE3cRxTQUVCkAAPfnga7k66pG2FugOdvX04uiWddtyCAF/Ga8dMM15Yw+MZ//vF6iZGekD9ON7UDkdLxVRa/5sLc+xxqmIoVmrE4jD/EXfFAiYmjf/4xz+Cx+Phxo0bcHBwQE1NDd544w3s3LlzRBe1NtS3deJUmQK5chUSpUI4+3RC0aplFOOSqdvh5uSIqhYtaxWCi6MDjUeNWulwpaEFySFCLAwWIFumQmN7JxYGCxgrOuKDBBB5umJjXBhNXZrgOKZWKBHJ3NRQP8ZkytEt6XiQ0mpHfK4v/kR1ksM5Uv02lUVSIeKC+MivbjKrWnCqw5T2mNEiLpDPaENxgXyGoy0b0WIeVjAIR367efEk35n5SJSy7N6HMO/eWyomwoYB01vf2Da0qjW3h30XiGucKq1HtlxNuwZbMnrXili89O2lEdOKEBV3+ok0c3zi2YpG/Of3ReRc4ubkgPULQpAe7o9TZQ3Yt3oRUkL9UKpswy+iAnGjsYVFBEWX9NGf95x8Ou+Zlq7RwlyqBGM2GRfoi8aOLoMxHpgp1lVXUhY8by2bB22PTsClpauXRsOyKlqKlfsMxexMCZ4La9W0eGf+NB4yp4tRrbmN+CA+ox3Nk/jg40syBHhzyFjE280ZHXf6GKk7EqVCRAi8UFSvwcWaJrg7OzBuaI+nf7HBdBjGdwJEinxwsboJSVI/1iriaAkP5yqUmCnkkmOcKG1AjkyFaAmPFGTUp88BhuwVAKMf/maDee22TM8g4XIM4umaVi3+uCwaX12pxnOJEVgYJEB+TTPj86WG+UHR1snayVFQ2ww/TzcyIf7vIjkWBQtoOiXUsU6WNuDLqzVIDubDZ5CuyAYbbJh40JIvrWCch9jF5Qw3jFdGBeCV9NkGBTCV6g6G85nHTWYYdzxwqUbNmPMoqFUjiOdBHmdOVW5hXTNtzPULQjBdyEVRvYbWPv9RfgXjtT/Kr8QOve4RwLTfCQACfDxMogc0t8PR0jCV1v/mwtqrxEcLwzWrIWuAOTApaXzjxg18/fXXOH/+PNzc3PDOO+/QhO2mMurbOvHgB6cMedkGk6zEDtmBAhm5Q7Y7rwzq292M412u16C7tx/RlErl+rZOZO7Nwtr5wXhvZTzu9N/FfXuzyGuy8QEmhwjx1dVqvHHsMuN1wvietMVZVfNtDAwMGLxAHGdHnCxXDEuBAdCdpCmOlN7Oo9vR8nZ1MqsKaypjoriSFkmFjN/5IqlgzK4xUThXydwWel6mxHpK8GINiBQxdyzM9veexLsyDxPN92VK6x3bhtbRkno8MieQ8TtPoiTq/TzdMN+jD2sfT6CdzxaAlKra4O7kiOuK1hHRiphbmcqEMxVKci6htjBertfgT8ui8fqxyyhtakez9g4+uFCO3OfvZxGI8Gef92x8xybDnBZRtkrepBBdInWPnh0CQEwAn/YbEeccfToDAJAjG/KTxoTLTAmej93U0VMQdvXxJRl+9VU+3l4WjRVRzO9TuGCoup3oiJL6esLezo71WalJbSK4Pfp0Bu05rY1PcCrDz9MNS8L9cblegz25ZbSK+GNPZ7CK0ZWq2rDtyEW8+/AC+Hm6oaGtC129/ThQINOJNKbNYrXX64pWqLXdjH/Lq2lGsJliyNT39J1T17HxYJ7BMecqlNi5fD5OlyuwJ7cMEi4HwTwO4/P5e7qD6+ZspJNDheeTZ2Ddp9lGizQIXvvk947TjrHZvQ02TDxMTb6wiXCmMyQYZ/t704q1qPkFfaSzCNwvDpuYdfPJ8kZaDEB0sj2TEI5H5waTx5lTlasfV1DHpFb6zhXzDOLaizVqfPak4SahOUkyU+kBxyI+n0wksqz/E61w/W8urL1KfLRgo747U9FI4yI3FSYlje3s7NDT00OK4rW0tDAK5E1FnCpjTqaeqVDixNZMHL9Vjxy5Cs8lRmBxmD9qW7V4OW0WfrhRx7grGB8kgLerEzxcHPHTM0two7EVX16pJquIuG7O+LyYrlJKVCLXt3UiT67CIqkQkSJvKDu6EOTDnCSLlvBwoEBG+yw1zA/78isNjg3jeyJPztwmT00+6ztJcxwplZDeJlgzhInaBXOyZxZncLJCbh+iTUsfY9WmNZGobGpn7ViwFk5jS9zJZeOcF3Hd4ePmxPgu+LjRuZ60Wq3B+WwBCOEn8+SqEfEBj4VPpG7iUVsY1y8IwYUaNZbNECNC6IXieg0+uFCOVZ+cp3F5JoUISSVuQq06IYhPtg1eqFbb+I7HCabaJBXUpDCBa4pW5MpVWBWt40ckEMb3ZE1imRI8UyvhqRvRXDdnvPZDEenDrjS0IGYaD6F8L7JaMz5IgEAfDuZLeMgqa6BVwxPP+sBMCc5WMvuR0+UKuDs5GtjivVIpMtYYa5qDrDIF3jl9g/bZNUUrCuuacfTpDBwtqUNhbTM5t+04dQ2vZURh25F8LJ8dgFXRwQjmcfD6sWLy/JlCLk7camC8Xk2LlrFSHQDOy5uwdgEz57spCOYxfzeLw/1xoVpN6pDcUrVhx6nrBnacMbjhdq5CidRQf4M1QEIQH+sXhECjvcNo6/VtnfjLA/MQ7OuBaAkPS/ZkGRxjs3sbbJh4mBrnmiIMTeAUS0LndIUhlcWFqibGtcLFajVWjrFwOhOIGMDODuR/gGG1Lbvek2H3JFtcoT8mkTCnHqdLmBsm4s1Zj7DRA+bq0QNae86it/8uY3zZ2393sm9t3GGOPU5FDEfHaC4MJToZsGHDBmzatAlNTU14++23sXLlSjz11FNmX8wawZagypYrceRKNe7eHcBvkmbi7t0BBL11BB9fkoHn7oKlM8SIEtGrBaNE3ogN8IWYqxPC+++fLkOt7cbv759L0jkAhokJonpM0daJPY8nYP2CEMyT8JAU4kc6U/3rzBX70JxwlMgb4Xwvxl3JCnUHa8VpolSIWX5cfLBqocFOnb0dcPipVHywaiGeTgjHZ08mmVwFQVR37Hk8gfbs9xqM7YKNJXr6dJODn4cr4gP58PNwpX1uTWATXmBq/7J0RAi5eOnbSzhQICMrrV769hLCBdzJvjWTMZ42rOzowufFcmz94gI+L5ZD2dFl0nkE5zztM5E3IkXeEHi4IZTviXCBFxKCBAgXeCGU7wmBx/A+iK2qI1rCQ4W6Y1TtaqP1icQmHhVEZd8PN+pwTdGKnWdukNXtAd7u+PhSBYrrNfDluCAukA/x4MLmRmMrsrZmYl1MCFwdHbAuJgRZWzNxvbFlxM93L8JU+x2JTQ733lFFYirUHTRKLCpMsVmjtlVSh8y9WThQIENcgC8a2rqQuTcL9W2diBJ548FZEiyJEIHHcaFVw1N93unyRlLrgOBoTgjStU5eb2zFeyvjDGyxuI45CW4DO5QdXSjscDTbnxoDmx0eK6mHhOuOx+YEYu18Kdq6elCqasNrGVHkhgJhq/r29fqxYiSzVHEF+nBY/XDKKCun2Ow8NdQPX16tATC0AcNkx7vO3cTicBGeS5qOjIihsSRcd2RtzcSGBaE4UCCDTHMbuc/fb5BIypOr8EpGJFZFB2PX2RIaVQWBsY4NbbDBhuFhTpxLCEO///hCrF8QwtqdxV4AY3itE2UKA3+TuTcLx8uYN9fGGunh/sjethQvpc1CaqgfXkqbhextSw18cbSEx5qT0Icxf0sFkbQ9uD4ZzySE4+D6ZNZcgzm/E1ulbRLDGtOacxZlTe3o7rtLW/93991FBQMNylSDOfY4FcFGQTJSahKTKo0feeQRREZG4uLFi+jv78f777+P6dOnj+iC1gZ2fiIhzleqEMr3gPJ2FxSDwTexAKPuTJ0ubyTVwlu7e/D8kXzGtt8cmRJVGi3rzkiwr2FVMf06CqSHi5Aa6gd7O+Dg+mTarhiP48JYHazt6UMyS3tshMALJ8sUWBDIpzlJagsI0TJytKSOcefPBnZMFFeSi5MDwLA+dHFyGNPrTATMaf+ydHCcHWg7wOsXhGCu2AccZ+v5XcbLhkdDe1HbcpuxKqOuVYt5Eh78PN1GFPSxdVdMF3LR2ds3qe1qfp5u+HxDCk6XN9KeeePBXPxXRiQOFMhgZwc0tGpxZFMabinb0NjRBX9PN8zw46JS3YHpQt1mxeb4MDzxiaGQ6+cbUibr8awO5tqvuTY53HtHbWc1Jrhris2awv16sUaNbcnTES3xwZb4MCSFCJEWIqA9E1s1/FvLouHLcWbkaA7wdsfjH58zuO/DT6Wa/F3ZMH40QsPZIY/jit7+uyhRtqFC3cFYUcZUycXWUhs5uABkpNsKHJ1gp7GKMuI5K9QdWBczVAVItePnEqczjhUu8KJxZxLf/dlf34e0f54gk8Pm0r/ZYIMNE4PxeB/N4T8mjtWvymVKcI4Ew4nGmQoPF0fGqlYPF8N0kzkVvKbSfZnzO6WHM68lp5qPjQ3kYzmD4OD3DDQoUw3m2ONUhDHqu5HApG+ttLQUe/fuxd/+9jdUVlbizTffxFtvvYWQkKnfpsqWoLovQoy0MH+cKW/E58VVSJQKUbV9JTyc7WkCQisiA/DnB6LxwjeX8GmhDOtiQhhbJ46W1GF/fiUu1qhZOYyjJTwoGYQw6LzBweTnTA7Wz9ONsWXwd8eKcfTpDGTLdM6b+HzVJ+fBc3c22KmhtoBQJzGi3dAG0zBRXEkXq9V48rMcMsFPLN4+ezIJIb6eY3qt8YY57V+WjvyaZtrvcqBAhm01any2LgmhfK/Jvj2TMF42PBrai/ggAZa+f9KAc54QURopmMQ9I0XeqGvVWgTXpIezI/KqVLCDHcn7RiS1iX/Pn+YLueY2qlq0uFKvwVwJD95uzogUDe28F9VpGL/74noNmVi2wTjGm7ZluPeOsFVCEKaxvRNHNqUhq7QBRXUaLA73x2IGgRh9AcSMCBEkXHfaok2j7Ub6nixaJWSUyBuR/j4ob2rHy2mzwOO4oPrWDQTwYshxiaoP/Xue5u0OV0cHmsApAKybL8WymRLG77GorhkRAuvwkZaA8bJHU/x/lNgHVxUtRo9hSgoYSygw/U0pLwconMamCChSj1kULECU2AciT1fseGg+uG7OBs9pbAMmPcwPnxfLyeslh/hhcag/jpc2MH73J8sUOLIpDfH/7xj5fRD3EyHksn6vNmFIG2yYWJgT59a3anGqvHFoDg33pwm7ETCnACaDhdM4fZSFWqaKxnXc6Rs8vpuMG0Webui40wcBpZ5Nf61JrmlY1prmaD+YAnN+p6m0ljSGwlqd4GCluh0Ftc3YFBeKUL4XimqbETAB1CaTCXPtcaphJNR3xmBS0nj79u3Ytm0bACA0NBS/+tWv8MYbb+DgwYMjuqg1wdCpCJEeLkLf3btYzkJgr09s/0R0EHYuj4Fco8WBAkNOYUD3UhPcwUMcxlpSUXq6kIsle7LAc3dmTU5QeYOHe6bH5gRijtgH5yuUUGu78bdHYuHn6YbV86RYNkOCS7XN+OJyFd59OIZx5+9eJxcfK0wUV9K5St3vpb9LfW6EvDaTDaL9a2mgB4RC6+UmYv1dKpVYPd86fpfxsuHR+Bj9e3oxdeaYvVdMQa4l8E8rO7qw6VAeXsuIQqmqDW5ODtgYF4r7Z0iwJ7cUB9cnY0m4CGrtHfzqq4uMlZsi6L4fwi71Ya3+YjIw3nMkW5cR1cb9PN3wxDwp7h+c03eevoFH5wZh9TwpLSFGwFQBxP6BAcZAtONOL1Z9cp4UQtMfV9PZQ+OBXRzmj0AfDl79oQj3zxAbJNbs7Ng52Wy2aB7Gyx5N8f8jnSOMJRSY/lbX20v+25TKJ3BCOwAAIABJREFUarZjdq2IReo/j9OOpT5DVmkDDj+VisLaZpyrbESi1A/pYX7YdCgPpwbboImxvngqFdky5u++sLYZ0wVe+GpjKmID+bC3AzL36u5HwnXH/jWJqFC3o7hOg2QpHxnTJbRj2J7LBhtsGFvcHQDjnHd3gH5cfauWVdxOP3HsaG+HrzelIVumQm6VConBQiSHCOHIoDXj6mTPeKyrk0kso4wwRzSup/8uY9x4SK/7bLLXmqbERVQQa8mprNXx0y264OC+wQLFZxLCsSIqcLJvb1wx2fY42RB4uOHuANDZ2w8XR3sE+niYTMfIBJO8TVdXF1JShhxDYmIiurpGz4VmLaDyEyXzHSDhuhshsG/EE3oB7ueXq3G6QomkECFrCz3BiQkMcRg3tHVh3qCgHcERSFSGjBY8jisSggQkfxrVoXLdnLEkQmSUu4eNU26qtXVMBCaCK2mq/l61tbWTfQujwsJgZk6tRSyfWyrGw4ZHa7PWzEE2EpytaMSp8kYa793+/Eocv1WP1fN0yRUexwU5cmYBtRzZEL8em/2xcd/bYIiJ8LmEjb+6wN+ojVPn9CURIsaEMcAu/Htajw/wdHkjkt87TuNXTH7vOK42tCA+kI9rilacKm+Er68vbVwqD6yY6w4vVyckv3ccXFcnRo7iCnUHK/eatc9dE43xtEdTfO1E+2NjldXDHVOqaoO7k6NBrE08w18emo8IgRfWzJdi7yBvaY5cRSaMqWNdU7Swiu5ES3j4uaoJV+pbkCtX4Ur9UDU28a7sz6/EU3GhWMR3hJ+nG6sa+lisC2ywwQZmZJU2MM55J8sUtOOM5Qb0cfxWA8L+/A2yZSrME/OQLVMh7M/f4ESpwuDYk2WNjMeeKh/5e2+KjySQJ1cxHpsnp4vJWcJa09S46F4Bsc68WKPGZ0VyMnlqbevMkcAS7HGy4efphiURIiwWOmJJhGhU74NJSWMej4eDBw9Cq9VCq9Xi8OHD5GLgXkNzczMAYwT2KsZFDkFsb0xQRl8RWuDhik8GW4ypsAQhDFMJ7G2wDBC/F1VkyPZ7TT7msAm23SMk/cZg8zHmgVpJSA0OC2qbUVjXTP4tX28+YfqcXUjQZpemYiLtV6MZG1E4U4V5CFvTX4RcrtcgjO9JnuPu7s447sUaNWTNHfj2um7Tj02o70K1muRko8LmB8zHveZPTRFEYjuGsGNzYm22sY7fatDRXrDE/Vw3ZxwvbcCZ8kbUtBoK312sUePj/EoMDAwYvY4lrAtssGGqgpjD9Oc8/bnRWG6AbcyP8ivw6yP5+Ci/gnFMYOi91z92NO+9Ob7ElLgRsKx5ZqziImsHsc7UX//fC+tMS7LHycZYvA8m0VP85S9/wR/+8Af8z//8D5ydnbFgwQK8/fbbo764NYJIlhsTyMuvUSMhaIg79kK1miS2J1onTpQ2IEemwoIAX9w3XYynD/9MGydK5I20UD+DzwHL2CEx1m7IxLfm5DQy/hQbxgYElzXBVfnswghkjHLHyYbRo6q5g1GwrVpz2yIoDyYT40ndMhU5IdkEQKIlPIi8hqgFUkL88MEFw7mLGkRVNrXTONAWBPgilO8Fmbr9nrdLU2Gu/VqCTZoqzGPM1g4UyMhzOjs7Wcd1cXTA+gUhuN5oXKjPx81pQiicpjoIezxVWo9suXrcvkdLsGPANEGk4ez4xdSZo75etISHDy6U47tfpuOnW/U0LZEdp67htYwoXKxR48XUmZD6cPBkjJRcN1Dv2dXVBQDw2JxAm0CeDTZMMEydG43lBtjGZMsXUDEeQnzmjJka6s8YN6bpVXJOFOXiRMNS5rWRgNCzyJYpkSdvwjMLw5Ec4ocyVTsgmey7G1+YS1dig3GYlDQWi8V44YUXMGvWLHR0dOD69evw9793AhR9YRgnn06jpPTVLVpw3ZxJBfCdy2Mg9fWkCWQsnx2AzAgxbqpasTu3FP/7izgU1zcju1KFRVIBIkU64ZDsbUux+kA2KThjSTskTJxybBxx321MnqS7tAHQ/S5MXJXWzoM3Voq/k4W4IAEe/OAU4gL5iJnGQ2GdBu//XIajFD7QexljLZIBmMZ1aY1gEwB5aPY0ODsMNRWlDh7HcR5SUtb29CGFIrCUEuIHueY2eO4uiA/kg+vmDFdHeywKFtLmMWsKnCcDptqvpdikvjBPQhAfaWH+uH+GmHYcm61RBRczwv2hqLiJ4OBg2rgEV2t7Vw/Kmzrwn2mz4eXmjNd+KMKuFbEkh+siqQDp4SKSe436PSo7umx2OAL4ebphvkcf1j6eMC7jW4odA6YJIhmz487ePmRG+JksaqU/FvHuJEoF2HYkHysiA5AQxMdsf29kVypRqmrDaxlR2HgwFxnh/kiUCnG+UglXRwesiwnBW8vmYePBXMwQeiExWICs8kbkZv+M1FB/i14X2GDDVMQSFtG6DL0EqzmCdZnTxcjethSXG1oM8gX6GA/BaXPGTGd5rsUMzzUecftIMFbrQ0ua10aCOSIfVp7tewGEPcZyByCVBk/y3UwexuJ9MClp/O6776KkpAQfffQRurq6sHv3bhQUFOD5558f9Q1YOtiEYU5uXYKjW9JxuqIROXKVTiAvzB8ujvaMZPHfbl6MtZ/mQMJ1x6roYBwtqcP5SiXmSnhYOkOCpe+fRGqoENsz52DjwTyy9SVK5I2Tz2Xib2dLrGLHjpUjqaoZD7q5gsdxnaQ7u7cxXsrpkwVTFX8tHc72dvh+SzrODC5Kk6RCbL9vDpwZhDBsGBuM9l2w1IoDP083HN2SjqM36dVsvzyUh31rEsnjOM52+GFLOk4P2tyzCyOQHu4PFwc7LBkUWLr0Hw8wzmP/ejwBaz/NAWB9gbMlw1L8MyH8e6GqCSF8T1xraEFeVRNOlytodq5fTZQUIsT8ab7Yn1+B91bGYa7YB3Z2Qz7M1XFI8Gf+NB7au3txq6OLVGEXerrio9ULUVSnwYOzJKhr7cSe3DL89WyJgX1Z+wJusqHVasdt7Im04+E62kYi0LdIKkSkyBt1rVocf3YJOnvumixqRYyVX6PGNG8O+e5cV7ThxqsP48jVGjw2NwitXT1YPV+KksZWHL5chTeWROK+6WLaOgMYiv05Tg6M92BN6wIbbLB2ODnYMQrhOTnQY3VHB2bBOkcHQzZQezswxlnHn11icKypQnzmwN6OeUym5Yc5FcSTHSOP9frQUuKzkeK8jJmPOluuuifE4AhoNBpIpffO8xIYy/fBpKTx2bNn8e233wIAhEIh9u3bh1/84hf3RNKYTRjmx1uKQcXNUKxfEEr+7ZNLlazOZXNcGNbMl+Klby8ZTBL71yQic28WFgULDc69XK/BnnGqDBkJjE0IbBxJOTIVbirb8ELKTFtwOwkYL+X0yYA5ir+WDk1XD5745DxZ9fn+z2XYda4En29IgcDKnsVaMJp3gS1hdfipVHBdnSbd/k6VN6KgphnzA3goqtVg25F8ADrhMkIdWnW7F6s+PmeQhPh8QwquKVqREMTHhWo14zxWWKdBfCCf3NS0psDZkjER/tnUhZyE646kEOGwiVmiekPk5YZXvy8CAITxPZEtU2FbjRr71yQima+j8zpZ1oi1n+bgT8uiER/EZ1woH96Qivq2TgT+8QjtfvTty9oXcFMZI7Vjc5MMbH74mw1JtONMqXhjOoag4GGL509XNNLifupYcYF8o+9OjeY23vzxMlwcHXCnrx+FtRr0D4DxOpfrNfBwdmT826UatUWtC2ywYSrjdLluDosP1FFJHCiQYVuNGgfXJ9N8x/FbDdh0KA+b48IQM00nWLfpUB72r0kkYzAC5sxlWaW6cfWvzzTuWD8TAVP86Xht6po6R4zH+tDa189sIqnnKpT3VNL4XsRYvw8mCeH19fWhu7ub/P+9vb1mX8haYaowzHDH51ap8MBMMW6p2hgniUp1O+ID+TQhGUC3gAsXeOHzYjm2fnEBnxfLoezoGuHTjB6EAa79NAcfXCjH2k9zsPT9k+Q9sSlVRkt4OFuhtCk8TxKmkoIom3r4GQZ1YktHUZ0Gu1bEYl1MCNmWumtFLIrrbQIO44XRvAtsQf6pMgV++13BpPpmQCdgFz2Nh+I6DaKn8ZC1NRMSrjttvsqRKRmfIVfeRC4ergzaH1U4A4DB/ATYBJjGAuPtn4ebt/XBZucnShvwzqnrtDjk00GxXiaBIEIIj1h09d69ixyWqpccuQo9fXcNbE7fvmxCYJaLkdixubYJsNtnXk0z4/EEnYm5MbQ5olbD3RsR+355tQafFcnxUX4FPiuS405/P+lv9XGmvBGN7cz3el5mi6VtsGGiwCb+qj/vjETczuBzhrnMVCE+c2DqM5mD4fyfPkzxzebMEeZe3xRY+/o5JYT5/lNslEZTHmP9PpiUNF69ejVWrlyJd955Bzt27MBjjz2GNWvWjOiC1obEQfJ6/YUME1E99XiDz4OFcLS3Zw0OC+s0+OCJhUiUClGh7iA/378mEZsO5poVUI8nhjNANqVKguvQtrCbHEwlBdFzlcw2dJYlALNkzPDj4qVvL+H5I/n48GIFnj+Sj5e+vYTpQu5k39qUxWjeBbYg/3K9Bnawm9RNMWVHFzYdzDWwpcMbUrA+ZqgqzpgKNsFxvEgqRNbWTNpmRtbWTNr8RMyJm+PDJuT5pjLG2z+bGzga6xi60dhKi0OMxUiEEB510XWplt3+nooLxVOxoXB1dMBTsaHI2pqJB2bRlVrGYgFn7Vz4loqR2PFIFjVs9nle3mTw2UiS0gQSpUIDuwaARyIDzL630+WNaOvqwQMz6fzgFeoOzGURF10c7g9/LzfGe2Bbg9hggw1jD2Le0X8X9ecdthwAm7idKWNSx/3+l4tRs30lvv/lYtZxTcV4JEPNSYSb6pvNmSPGY1PZ2tfPCwJ4jPcfM80WB011jPX7YBI9xZo1a9Db24uenh54eXnhscceQ1OTYXBmzdAXu8uIEEHCdWclqg8XeDKes3SG2IAsPiPcH4vD/ZFfo0ZcIJ9RWXWu2Ac7Tl3DH++PxqZDeQB0E0l5U7tFtWIO16ZB8B6dKG1AjkxF8mpuPJgLwHp25qYappKCaFwgn1HFNy6Qz3C0ZeNaQwvj+31d0UK2yNowthiNujOb2nS0hIcDBbJJbVdjC6zLmtqhaO+CrLkDy2ZKkMaigp0kFWKO2BsPfXgGySFCrNx31oBC4OtNafjdj5eRtTUTta1azBH74FpDC/7vYoVF8TtbG8Zbcdzc9srh7BwYikMemCVhFfNpKC9BcHAwueg6fqsBzy2azqzCHuqH7T8W499FVQCGaFOO6YmCson3JEqHRBofmClGTAAfOTIl2c6aHu6PuwOYElz4loqR2PFIWn/Z7DNFKjD4zFjCYUm4P46XKnCushFxgXwkhfjBx82JFF/MCPdHV28/iuqasS4mBDsemg83RweUqzuw9YsLjD6P7d7min2w7chF7Hgohma/ta2dWMawbogSeWO+hAc3JwdsjA1FQW0zKZC349Q1pNtiaRtsmDCkh/uz5gKo0BeTBQaF8BjeV1PHBIDls8Wo3r4Sp8sb8ccTV5EoFaJ6+0pwnE2q/WPEeIjrpYYy+79UhgS1qfQc5swRbP53NLmH8Y7Pxhsf5Vdg14pYlKraSO7q6UIuPsqvxI6H5k/27dkwjhjr98GkpPHzzz+Prq4u1NTUYMGCBbh06RKio6ONntPb24vXX38d9fX16OnpwXPPPYeMjAyD47Zv3w4ul4vf/va3I3qAsQCb2N3RpzPgaG/HyL93dEs6s0DG0xk4+nQGTpc3IkeuRJLUD+lhfuSxWVszWdWatx3Jx4OzpuH4s0vw1ZVqPBUbiv2XKhnvebKSE6YYoJ+nGx6cKcFNZRsODLauAta1MzcVMVUURJNC/BjfoaQQ5h1+S0ZeFfPmW568iZEz0YaxwUjVndmCbKKT4sXUmWN8p6aDLbDOlavQ1duP148Vk3MX0zMskgqwct9Z5Dx/PyuX/8/VTTi3bSl+8dEZ7FoRi00Hc22CZGOE8VQcNzdwHM7OCZwpb0RmhIgxRqIme6mLrhlCLuPY86bxsO6zHNp9XFO04ryMzrvHtIBLlAqx6WAuTg1WT6yKDqbFdB9cKEf2tqW0+7RmLnxLhrl2PJJFDZt9Lgr0NTjWWMLhcr0G75y+AWDIHnY/Gk+KS1FjfOIaux+Nx5OfsYuBGnt3th3Jx/LZATj9XCZOljfiTHkj/iNtFp794gJ2rYiFor0T5yuV5KJeebsbv2ZZf0i47qzfjw022DC2uDtgmmgdISZLywGE+zO+r6aOCQCdPXfxEIsop88IXcF4FBPFBPgyb4BNM883U+cPc+aI8UiEA+Mbn403IgReyNybReOuvlijxgerFk72rdkwzhjr98GkpLFcLseJEyfw9ttv49FHH8Urr7yCF154weg53333Hby9vbFz5060trbikUceMUgaHzp0CGVlZYiNjR3RzY8V2BbIZysa4efhavA3jrMjTrHwqhKCQ8R/APB5sZw8duPBXHyzOQ2X61twsbrJoBL3XIUSex5PwJIIES5VN2GO2IfxnierYtdUA+RxXPFCykxES3g4U96IZCkfGdMltsWZBcDaFUR93JwYFX993JyGP9nCoKuaNgyG4oOsr2r6XgARZJ+p0C34qf57sjfFTKkO5Tg74ueqJsaqgxyZCu5OjlC0d9ISg1Scq1DC39MNHGdHVn5+myCZ5cHcwFE/MbtIKoCEyyHjFAKLw/3xc1UTM893eSMphEeMSdjF0EK1ETHTeFgYLMC+fMPqY0BHO6Qv1qK/gPu8WE4mjBOC+Aa2mRDEx2WWrg6bvU4uRrKoYav8UsrLASE9Zmbzi4ukAuzJLaN9dk3RiisNLXBysIesuYPRXq40tBgVAyXu7WhJPWOMTyREiP8I29X29OGl1Fno6u3HgQIZ7OyAdTEhzPzzVU1YFc0Z5pu1wQYbxgrmiNZJuO60HMBYjMmac2AR5TQVY11M9NFF5qrWfRcr8Be9qlZTk8HmzBFTqat2rLBIKkSUyJvUngCI7izDzhwbphbG+n0wKWns6+sLOzs7SKVSlJaW4pFHHkFPT4/Rc+6//34sXboUADAwMAAHBwfa34uKinDlyhU88cQTkMlkJt3s9evXTTrOHAQGBrKKXWTLVIhjqFwI43saFchbGuiB2tpaADruPKpAV31bp45rkhIcUhfoyVI+bt26BRcXF/xfQSNWRUsZneXCAB4KCwsNrs/02VjCyckJ32xIQl5NM87Lm5AiFWBRoC+U8nLUMQgkzuFwELvAD3fu3EFdWQnqxvXuTEdMTMyEXm88bHc0GG87GU84OTlB7B+ADp47XBztIfFyhZjjBIWsHDVWJNIZHR2NRcECxvc7IViAvr4+XLlyxeC8e912JxJs78kCLhcZS+egqEGDw5fl2PHAXKN+cCIQHxAybHVoGN8TWWUKfHixwqDqYEt8GML4njhb0YiUEAHLZoYA+dVqmliePk6XKxDLHYBGY/j3qWC7luo7jd2XufM2AWL+duX6YtlH51Df1kn+LUrkjaQgPv6QdY3xXF0sFMp6X0kiEW7f8cWHFyqg6OhCON+L8bi4QD4aGhqgUCgY/64fYzHZ5kjtlYqpYLsELMmGR2qbADW+7EZdWQkAw2dj84uRIh/GzbHL9RrM8ueyCusSYqDUc/VtiMPhQOzJMRrja7Vamu2G8T1xorQBnxXJAQBPxkhHbbMEJtp2AcuysfHAVH0+6nNZwjNOpO2y+Vz9OYYKc9/FkYwZFRVlVJRzVdS0MZkvzH0GfXA4HET5MVe1HlizkPR7BNh8c5yYS7O9kcwRurnBn5wbJiP3YAm2Gx0dDUc7O8ZCKwd7O9Z15lSFJfi0yYA574MxuzUpaRweHo633noLa9aswW9/+1uoVCr0DhPMcTi6XfDbt2/jN7/5DV588UXybyqVCv/85z/x3nvv4ccffzTlFgAAkZGRcHFxMfl4U5EobWfkGU4OEcLPw9Xg8wp1B55dGMF4TpLUD0KhEELhUKv84lbQOPwuVKvh4+6Cq4oWA2dJrcZd3KqrTN6/JpG2a5cRIUKArxcCfOk/bGFh4YQ5qWChD9YuoAggCZkroglM5L1ZIsbLdkeCqfJbBAt9IJfLIZUOitIMY4OWCCcH5sncyd4Ojo6OFvE7WZLtTiRMeU+WcjlYOpMiijTJNjhcdSh17qJWHQBDFckPzZ6G1FBmCphZflx09/WjQt2BdTHMVTTp4SJIpcEW0c0w1rZrqb7T1Psyd96mgo3TL1EqZI2FOjs7jd4XR6lTbLezAz58YhEr7ZBY4AWxWMw6DjXGYrJNa7FXKsbL71qqDY/GNgmwPRuT7V6sZqaGipbw4O7kiMVhzNzv1M4NAkw25NPRhdeOXTYa4wNDtqtvo9Zos1RYoo2NFQzs7N8lk3czYwziuSzVT4wnjPlc/XU8gdG8i+aMyT7PCuHi4jLq32qsfm+fji7Gqla2TmO2uCJYaHgvtrwDO4zZrp2d7n/9PFwRH8iHt5uz7nPAYtaZE4F7yR6YMBbPb1LS+Pe//z2Ki4sRFhaG559/Hj///DP++te/DnueQqHAr3/9a6xduxbLly8nP//pp5/Q0tKCZ555Bk1NTeju7kZISAhWrlw58icZBdiI69PC/OFob2fwN21PHzLCmdslmMjumVordpy6hqNPZyBXrmIlVs+MEIPnfp22a5dXpcLKOYFj/RXYYINVwtqpNtyddC5YfzInPrfBBnNAbdtvut2NzL1ZtOpQY3PXdCEXnb195DxEDeaTpXykhoux6WAuXsuIgranj5Wb1sZbPzXBxulnTPinseImgoPpx1NBxEYXqtXQdN4ZMe0QNca6UK3GW8vm0e7pQrUaO5fH2Oz1HgWT7cYHMXf5xAfyIfF2R6APh/Hvc8U+2EbZbDOlTdqYeBL1HaDaLZMdG7ueDWMDh5cPmHbgFEoU2zA8iPeU4+yIML4nKtQd0Pb0jepdNId2gTXnEGZZgpjmisZZM1ewtYBtPWlbZ9pgLkyyGAcHByxYsAAAkJGRwShopw+1Wo3NmzfjzTffxMKFdLLtDRs2YMOGDQCAI0eOQCaTTVrCGBieuF5/8UzsmJlKdm/Mieo7S2VH16C6t07x++jTGSiqa8axknqrU+y0wQYbjEPEdcfdgQG0dfegtRtwc3ZAkA8HIpvIjQ0jAHX+eGCmGEe3pONMhRLZenMUvSJZiEiRN+patTRBJ+r8dOvWLUi47jiwLgn5NWrsW5MImboD+9Yk4rqiFXlylW1+ugegH5+khfkbjZ+Ym2+HQI2NfrhRh02DFCmujg4I8OEglO8Jgcfw9qQfY2l7eg025cMFnjauQxtIUPnpz1UosShYgEixD6o1tyHxdmeN2+3tgIPrk8csIUK9TlZpAw4/lYqiumacq1DS7NhmszbYMHkg1vynyhTIlavw7MIIZESIRvUumpNglXhzcHRLOk5XNCJHrkKSVIj0MH9IvC2P29yWCLYs2NaZNowVxm2bYe/evWhvb8fu3buxe/f/Z+/ew+K67rvRf4EBBIj7MDOAQAwMsi1LkWRdkAWyANmVU78+cePaaZM6qRz7cZ3kaXucp+fkdd00z0ne9vT41Cc5jWW7duy0dvI6Obk5jpI6lrhIIAskLCm6GgYGgWAuDDAwwHDn/IH2aC57DzNoz8ye4fv5C/Z1rb1/67fW3kJ7HQEAPPbYY3C5XPjc5z4XrtOuWqAP1/s+PAsJPdiP3fseQ4rV6cKh146Jzkb/8N0lkvsRUWyyOl146I0GvPzZPajaosZV6xgeeqPB6+UdUTCk+o+GZx/AX/j0UWL90Y7iPMljC9+h02amufsiYfsdxXlB9YEU2wKNT0IZC/nyjcVNBeLfNg71OABEx1xyTvpDsU2bmYY/2lSIPwyO4pVTnV7/nVrog6ViSM4XImJtwHPyR8YsUXRZnS489Ppxd//3RpvRK0+sVigvWItzMvDErorbmviO1h4+Z5JcwvbS+IUXXsALL7yw4nbR/Avj1fD8iLvcQplJlYhin9Dm73v5917L2eYpVFL9x7EuC2OJbls8jU9i/bNGJJ8PO834l4bLXsuUGNeMWaLoiaf+j9YWPmeSXBKjXQC6pdFoFV/etdJ/8iSiWMQ2T3JhLFE4Mb4oHjGuiWglzBMUqxi7JBe+NFaQOoP4B/XrRCbXI6LYxzZPcmEsUTgxvigeMa6JaCXMExSrGLskF06dqCChzKRKRLFPaPPPHdiMXSX5ONs/jJear7DNU8jYf1A4xVN8lZaWRrsIpBBicf2Fe/Q4dEdRFEtFRErCsTrFKsYuyYUvjcNgYGzKPcNqtV6D+zcVIjEhAb//ZNC97OCmQhT7zFwZykyqRBT7tJlpOPpUPY53WfC9E1dRrdfg6FP1bPMUMjn6D6vThSajBY1GK+oMWtQadF77e67/7NYS3K3LwfEuS8B+jeKDnOOTleIsXPt7j83GGa9xJjk5OeTY8IzrczdGcLjKgI7+Yfzvv/l4VbEpxep0oe36EEpy1+Pi4ChO9Q7JenwiCh+O1SlWMXZJLnxpLLOBsSnRGVaPPFqFw++e8lp29OmDoi+O5Z6ZmYiUacAxiYfeaPDLF0efqkdxTkaUS0ex5nb6D6vThUOvHXPH4uunu9yzg4ut/9/q7xaPXZF+jeKDHOOTQHEWzEPMaveXGpsxXuNHlq5kVbEhxPWBCu1txaYUIWZf+sxuHP6frbIfn4jCi2N1ilWMXZILv2kss+OdZtEZVi8MjqKqVO21rIEfISda0453ic/I3GBkbqDICjQ7eH5+vtf6L1cZcLLHKh677NcogEBxFs79pcZmjNf40Xp9OCqxFcxxM1JUuGYbC8vxiSi8OFanWMXYJbnwpbHMWk020eXnB0ZgUGd6LWsxcaBItJZJ5YsWieVE4RJohuX09HSv9Ts35OGUaUiNBtdBAAAgAElEQVR0e/ZrFMjtzuS92v2lcy3jNV6c7BXPSeGOrWCOa1Bn4sLASFiOT0ThxbE6xSrGLsmFL41lVq3XiC7fXpwHo93ptaxGz4+QE61lUvmiRmI5UbgEmmF5amrKa33HjRHs0xeIbs9+jQK53Zm8V7u/dK5lvMaL/WXiOSncsRXMcY12J7YV54Xl+EQUXhyrU6xi7JJc+NJYZgc3FWJrYY7Xsq2FOdhWlIuEBOAvduqxd6MaWwtzUM+BItGadrByeVbbvRvV3rnBwNxAkSXMsOzpH//oU/hvmzf4rf9BmxH7y7WifR37NQpELM62FuYEPZP3avcXG5t94R49HtpcHNR5SfmqN+ZHJbZW8sCmItQadNhTqg7L8YkovISxuieO1SkW8DmT5MKJ8GRWnJ2Oo08fREOXBS0mK2r0Whys1CEBwDP3bkKryYZn7t2EBzYVIjExAT85Z1r1DOJEFNuKczLcs9oKueFgpY6TE1DEaTPT8MEz96O524puuxNf2FmOJqMF/+uvzqBar8HB3CUcf/Z+HO+yorHLgm67E0efqkeD0eru6+ordZxUbA2yOl1oMlqCGst4xlljlwV1lTocqNAGPfZZ7f6eY7NLllE8uceAj2+M4Pmj5zj+ihPjlv6wxVYoMe5J2G94cgZXrQ6892QdzvYP41inOeTyEVF0CGP1BqMFLSYbavQa1BsiO1ZfbQ6itY3PmSQXvjQOg+LsdDyxqxxP7CoH4D/b9xttRpz82iF85edtnEWZaA0bGJsSn9X26YN8+UYRp81Mw+Pby5bj8vXjonH5+PYyPL69zL2PZ19Ha4/v+MZzLCNFiDPPOArFavcXxmYDo0489IMmjr/izNzcXFhiK1CMB4qXQPs9um3jqspHRJFndbrw0BsNSE9WwaDOxCutnfjXpisR6zNWm4OI+JxJcuHnKSLAd0bmvRvVOD84ylmUida4451m8VltOTEORRHjkoLlO74Bbo1lMjKU+ZcsTUYrx18UtEAxHo79iEhZhLbc1mfHjz42oa3PHtG2zFxCq8XxPMmFL40jwHdGZs6iTERAoFltORCk6GFcUrB8xzfu5V0WpKamRrg0wTnZOyS6nOMvEhMoxsOxHxEpS7TbcrTPT7GL43mSC18aR4DvjMycRZmIgECz2nJiHIoexiUFy3d8415eqcPMzEyESxOc/WUFoss5/iIxgWI8HPsRkbJEuy1H+/wUuzieJ7nwpXEE+M7IfPq6HduLcjmLMtEad3BTofiMzBwIUhQxLilYvuMb4NZYZnJyMkqlCqx6Yz7HXxS0QDEejv2ISFmi3ZajfX6KXRzPk1zCNhHe3Nwcnn/+eQwMDGB2dhbPPvssDh486F7/m9/8Bv/xH/+BpKQkbNq0Cd/61reQmBgf77B9Zzitr9T5zchcWZB5W7M8E1HsK85OF5+RmZMTUBQVZ6fj6NMH0dBlQYvJuhyXlYV+ccnZvEmbmSY5lrkR7cLd5Bun+0pyOf6ioAWK8VD226cvwJbCXLRdH0LVxgLGG1GM0Gam3RwTmW+N1SsLI9aGV5uDiPicSXIJ20vjX//618jJycGLL74Ih8OBRx55xP3SeHp6Gt/97nfx/vvvIy0tDc899xwaGxu9XirHqkAznIrN6Hw7szwTUWwTZmTeXaLGzg15ONFti+iMzERSirPT8cSucjyxqxy9vb2iL4w5mzcByw+0Sh3LhDomIxKz2hjXZqbh/kodzg+M4JXWTrT12QGAuZIohlidLjz0+nGkJ6tgUGfildbOiI/VldzPknLxOZPkEraXxg8++CAOHToEAFhaWkJSUpJ7XUpKCt59912kpS0H6/z8vGInTAlVoBlOmeiJyJOQLy6aHXiz/dZy5gtSkuHhYZSVlXktY19HsYBxStH2YacZ/9Jw2WsZY5Aodnj2I8I//AAcq5Py8TmT5BK2l8YZGRkAgImJCfz1X/81/vZv/9a9LjExEWq1GgDw9ttvY2pqCtXV1Sse89KlS+EpbIg6OjpEl+fl5aHRKD6TaUOXGbuzlzAyMhLOokmWTQmUVLadO3dG9HxKiV2Bku7F7YrVuqw2X6z12I2kWI2tcPC8Fms5dpUaEyyXPznHZPEQuwKlxooclFY3OWNwtXWLdOwCyrsPFJykr79965cfXwlqn/bPbw5TaSIbu1I5VwnP9pEQj202mnVi7CpPPMZ4KIKpf6C4DdtLYwAwm8346le/is9//vN4+OGHvdYtLi7ixRdfhMlkwr/9278hISFhxeNt2bIl6n+R3NHREfCC1jmA108b/ZbXVxZCry+DXq+PWtmiSclliwQlxK4gnu5FrNclmvkiWEqK3UiK9diSk9i1WIuxq9SYYLmkxUKciglX3lXCPQkXpdZNjhhUat2kxFJZvQT5opRuidl77SNQzo3VfiRYsZZfghGPdZKylmM3WGspHsTIUf+wzTxnt9vx5JNP4u/+7u/wp3/6p37rv/nNb2JmZgZHjhxxf6YiHnCGUyIKFvMFxSrGLsUCxilFG2OQKLaxDVOsYuySXML2l8avvvoqxsfHceTIERw5cgQA8Nhjj8HlcmHLli342c9+hl27duFLX/oSAOCLX/wiHnjggXAVJ2KEGU4vmR3oG51EaW4GthTm8GPjRORHyBd9o5Nwzc0jLVmF0twM5gtSPG1mGpq/eghn+4fxswvXOZs3KZI2Mw0Nz/4RjnWZ3bPO7ynKZpxSxAgx2GUfR7PRirL89cyVRDGEY3WKVYxdkkvYXhq/8MILeOGFFyTXX7t2LVynVgT75DTa+uxIT0lCYsLy7JVNRgsajVbUGbSoNejYYIkI84tLuGodQ6vJhmq9BkXZ6dEuEq1xvv1VVUl5wPXfenAb+zMKm9WMn8T2ESZ96ejoQJlm7f43Rbo9ocaj7/Z8YUwUezhWp1jF2CU5hPWbxmuR1enCodeOuWdZff10F05+7RC+8vM2r2VbC3PwwTP3c+BItIYNjE3hodePu3PDG21GbC3MwdGnD6KYnTpFgVgf5tlfrbSeSE6riTfGKIVLqLHFWCSKfRyrU6xi7JJcwvZN47WqyWhxN0wA2LtRjfODo17LAOCi2YHmbmuki0dECnK80yyaGxq6xGe7JQo33z4M8O6vVlpPJKfVxBtjlMIl1NhiLBLFPo7VKVYxdkkufGkss0aj90DQoM7EhYER8W3ZYInWtFaTTXR5i4kPlBQdvn2Ye/nN/mql9URyWk28MUYpXEKNLcYiUezjWJ1iFWOX5MKXxjKrM3jPRmm0O7GtOE9820pdJIpERApVrdeILq/Rc1Zbig7fPsy9/GZ/tdJ6IjmtJt4YoxQuocYWY5Eo9nGsTrGKsUty4UtjmdUadNhamOP+/fR1O7YX5XotA4CthTk4UMEGS7SWHdxUKJob6vlASVHi24cB3v3VSuuJ5LSaeGOMUriEGluMRaLYx7E6xSrGLsmFE+HJTJuZhg+euR+XzA70jU6iNDcDlQWZ+OCZ+9HcbUVjlwV1lTrOnkxEKM5Ox9GnD+IPg6Mwj0+hMCsdnyrK5eQEFDVCH+bZX+0pynb3V2Lr2Z9RuKwm3hijFC6hxhZjMXqSvv52tItAcYJjdYpVjF2SC18ah4l9chptfXakpyRhcWl54Pj49jI8vr0s2kUjIgVRJSZgfHoW7X3DqDOooEpMiHaRKE5ZnS40GS1oNFpRZ9Ci1qATfXnh2191dHSgTLNTcj2RmPyScvzknGnFeFvJauKNMUq3I1CuDDW2GItEsY9jdYpVjF2SA18ay8zqdOHQa8fcM1W+froLWwtz8MEz9/MvC4jIC/MFRQpjjSLJ6nThkf9sYbxRzGGuJCJPzAkUqxi7JBd+01hmTUaLu2EKLpodaO7mLJVE5I35giKFsUaRxHijWMXYJSJPzAkUqxi7JBf+pbHMGo3ijbCxy8L/mkZEXpgvKFIYaxRJjDeKVYxdZeI3iilamBMoVjF2SS58aSyzOoMWr5/u8l/OWSqJyAfzBUUKY40iifFGsYqxSxS8UF/mL/zrE2EqSfgwJ1CsYuySXPh5CpnVGnTYWpjjtWxrYQ4OVGijVCIiUirmC4oUxhpFEuONYhVjl4g8MSdQrGLsklz4l8Yy02am4YNn7kdztxWNXRbUVepwoELLj40TkR/PfNHQZUZ9ZSHzBYUF+yaKJG1mGn71xRq0D44x3iimMFcSkSeO1SlWMXZJLnxpHAbazDQ8vr2M34ohohUJ+WJ39hL0+rIol4biGfsmiqTh/h48vnMn441iDnMlEXniWJ1iFWOX5MDPUxARKcDIyEi0i0BERERERCI4VqdYxdil2xG2vzSem5vD888/j4GBAczOzuLZZ5/FwYMH3esbGhrw8ssvQ6VS4dFHH8Xjjz8erqIQERERERFRlIU6eRoRERFFT9heGv/6179GTk4OXnzxRTgcDjzyyCPul8Zzc3P453/+Z/zsZz9DWloa/vzP/xz19fVQq9XhKg4RERERERERERERBSFsn6d48MEH8Td/8zcAgKWlJSQlJbnXdXd3o7S0FNnZ2UhJScHOnTtx5syZcBWFiIiIiIiIiIiIiIKUsLS0tBTOE0xMTODZZ5/F448/jocffhgAcPbsWbzzzjv47ne/CwD43ve+h6KiIjz22GOix5iensbly5fDWUxaY7Zs2YKUlBQkJCSE9TyMXZIbY5diFWOXYhVjl2KVEmN3z4+vhLUspFztn98c9LaRiF3mXAoHxi7FokBxG7bPUwCA2WzGV7/6VXz+8593vzAGgPXr12NyctL9++TkJDIzMyWPMzc3F85i0hp06dIlbNmyBampqWE9D2OX5MbYpVjF2KVYxdilWKXE2A3lxSGtXZGIXeZcCgfGLsWiQHEbtr80ttvteOKJJ/DNb34T9957r9e6ubk5PPTQQ/jpT3+K9PR0/Nmf/RleeeUVaLVa0WMtLi5icnISycnJYf+Xclo7IvGXF4xdCgfGLsUqxi7FKsYuxSrGLsWqcMcu45bChbFLsUgqbsP20vg73/kOfve736G8vNy97LHHHoPL5cLnPvc5NDQ04OWXX8bS0hIeffRRfOELXwhHMYiIiIiIiIiIiIgoBGH/pjERERERERERERERxY7EaBeAiIiIiIiIiIiIiJSDL42JiIiIiIiIiIiIyI0vjYmIiIiIiIiIiIjIjS+NiYiIiIiIiIiIiMiNL42JiIiIiIiIiIiIyI0vjYmIiIiIiIiIiIjIjS+NiYiIiIiIiIiIiMiNL42JiIiIiIiIiIiIyI0vjYmIiIiIiIiIiIjIjS+NiYiIiIiIiIiIiMiNL42JiIiIiIiIiIiIyI0vjYmIiIiIiIiIiIjIjS+NiYiIiIiIiIiIiMiNL42JiIiIiIiIiIiIyI0vjYmIiIiIiIiIiIjIjS+NiYiIiIiIiIiIiMiNL42JiIiIiIiIiIiIyC0mXhovLS1hZmYGS0tL0S4KUUgYuxSrGLsUqxi7FKsYuxSrGLsUixi3FKsYuxRJMfHSeHZ2FpcuXcLs7Gy0i4LLly9HuwiSWDblUVLsCuLpXrAu4aPE2I0kpd2PaIq1axGu2FXqdWC5QqPUcgHhz7tKrvvtYt2iS4jdS5cuRbsoYRUL9+J2rYU6CkLNufF4bVin2MTYDd5arjsgT/1j4qWxkkxPT0e7CJJYNgpGPN0L1oXChffjFl6LZUq9DixXaJRarkiI57qzbsoQ7//QHEv3YrXWQh1XKx6vDeu0Nqzla7KW6w7IU3++NCYiIiIiIiIiIiIiN740JiIiIiIiIiIiIiI3vjQmIiIiIiIiIiIiIje+NCYiIiIiIiIiIiIiN740JiIiIiIiIiIiIiI3VbQLQESRtWPHjmgXQTaVlZXRLgLFqfz8/GgXgYiIgpSRkRHtIhARxbWkr78d0vYL//pEmEpCoYqn5/9QlZaWRrsIUSXHvQ/7S+O5uTl84xvfwMDAABITE/Htb38bs7Oz+Pa3v42kpCSkpKTgX/7lX6BWq8NdlDXJ6nShyWhBo9GKOoMWtQYdtJlpXuvODYziySoDOvqHcWHw1s+mkQn8xc5yNBktuGxx4MkqAz6+MYLmbiv2lRVga1Eu+kcnUK0vwPTcIo53WXCq14YDFTrcsyEPb7YZcbcuBwcrdSip3Iz/PNONVpMNh+4sQlWpGg1dFrSYbNhfrkWtQYvTvUP4sNOMar0GByt1KM6RfgAIVC8SN+CYxPEuC1pNtqCusZLFU13oFs/7+sCmQtxbVoCTPTY0dVuwp1SNmnItMlNUuGJxwFCQheZuqzsGag06vHO2G1WlatypzQ4YH+7z9NpwoFyHXSX5eLPdiM3abGwvzsP6FBVODy/h/zxz2ivXVW0sEM0zcuSjlY7BnBc5oVxrYVvbxDT+ZGspGjzirr5Sh1/+oQ/ZaSk4uKkQs/MLaDRa0Dk0jif3VKLjhnef23wzzqv1GswtLMJod+IubTbeau92x2ZGShLa+4bR3H2rbMnJyaJlG5pwYdQ1h5YeK9r77DhQoUN9JeOGxJnHpjA+M4eWHhvO9C/Hy/biXHQNjaNaX4DZBWBiZg7tfXac7LFif7kWe0rVmJlfwMc3RnDFOuYRy1YcqNBiZ0k+3mxbzq1CHr23rACLS3CPPw/vqcBliwMGdRYumUdxoseKWoMO+8o0aDHZcMJjzNk9NI6Kgiz0jU5g54Z8NBqXx5HLebwQ3/jNx9hRnMv8SLdlNf1tMM9bnuuwBDimZ73a2+6SfLzRZsSuDXnYvVGN1p4hnOixYE9pAe7fVIjLllHostJxcXAUp3qHcOiOIuwsycepXhvu0GS7l1eXFeC+Ci0um0dxd2EuLplHUZSTcWu9vgD3bypCYgLQ0GVx9z015VrkpiVL9imRvqZEdPvW8jPzwNgUjneab9Z9HAc3FaI4Oz3axYoYOe99wtLS0pLM5fNy7NgxvP/++/je976H1tZWvPvuuxgdHcXf//3f46677sK7774Lk8mE//7f/7vkMWZmZnDp0iVs2bIFqamp4Szuijo6OrBz586olkGKb9msThcOvXYMF80O97KthTn44Jn7AcC97sO/egDPvXfG7+eu5x/BZ99q8lvueayXPrMb+rwM/MnN7XzXPfDqh9hamIP3n6pH2bd/AQABj/XAqx+6fz/6VL1oYAeql9IGIEqJ3QHHJB56o8HvmkldYyWLp7p4UlpuiXTs+t5XqTxx5NEqlORm4GGRGPjF4VokJyWKrhPiQyp+PPPVkUersP/7H/itf+69M355Ro58tNIxop3zlBabK7md2A10rW90XpHsY3v/4bOicSf0fZ5xJdXneu535NEqTM8v4rn3zqwYm7/6Yg3KNLl+9ei2O/GVn7cxbnwotVxA+POuVN0HHJO4PjopGi/COM887hJdLxbXvvsL8fvSZ3ZjnSrRfRxhHyG/rpT/he1+cbjWPT6VOpcSx4SrpeSYFQixC0DxZQ1kpf5W7F4E+7zlue6Xh2sln50AiMa/b9xLtR/f7cXay8mvHZJsz0UZyX59yu2I9hgmkFBzbiy0xVCFUqdY+UvjeLxPvoKJ3Xh9Zg7GwNgUHnr9uH/dnz64Jl4cy33vw/5NY71ej4WFBSwuLmJiYgIqlQovvfQS7rrrLgDAwsJC1F8Ex6smo8UrUADgotmB5m4rLg6O4qLZgb0b1bhmG/P7+ctVBpzssfot9z2W8+a/kout+8Q2hqpSNS6aHWgyWvCdT28PeCxhe+H3BqMl5HqRuONd4tdM6horWTzVhW7xvK+B8sQ127g7f/mus4y70LhCfEjFj2e+ujA46s5FnuvTk1V+eUaOfLTSMZjzIifQtfb97+/Ctv/jj7dLxp3Q9wlx9eU9BtE+13e/C4OjcEzNID1ZtWJsnuob9qvHxcFRnJdoJ4wb8nUhQLwMjk1hcHwKlywOyVj1jGvf9Z7x220fh3nc5RX/GSkqGO3jQeV/IQ+39NiQnqwKeC7GOa3GavrbYJ63fNedlIhh5/QsTMNO0X08496z/Ui1l5YeGz63vcz9PCfYu1Et2d4vDI7ik+EJybquBscwRNGxlp+Zj3eaxeveFf91B+S/92H/PEV6ejoGBgbw6U9/GqOjo3j11Veh0WgAAB9//DHeeecd/OhHPwrqWMK/YEdbR0dHtIsgSShbXl4eGiWCorHLgt2ly9/rNKgzcWFgxO/nnRvycMo05Lfc1/DUDNr77KLrzg+MwKDORFufHS0mGx7fVoZrtjHJY3luDwAtJhse3VyIq1evurcJVK+GLjN2Zy9hZET8+J4i/a+P0YzdHTt2oNVkE13XYrLhC/foce7cuQiXanUqKysD1uV/qVTDaDRGuFTyCSa3xGPsbt261eu+Bso57X127CkR/97w3OJiwPj48+0bJdd75h/fXOS53jPPyJGPVjpGbVG6LDnvdsnR7yk9dle8n7t0on3snlI1fnKuV3Q/oe8DlmPonpI8nLvh3+f6Oj8wgqpSNQzqzBVj84RpCPfmJ7njIC8vD/2OecljN3ZZYipuwiHUcik9dkPhW/fKykpYnC7JeGk12VCSU4aOfv9/nAD841psvRCzZ/uH3f/oIcS/QZ3pdeyV2oVBnYnWXptfO/A9VyTzYySsti1F46/tlNruVxJMnw541y/Y5y1fUjE8PDWDM/3iz1We+3i2H8m227vc//z0fK/X8pXaWKoqESaTSZa2czvjpEjGbig5N1bjO5Bw1Sma1yqa51ZC7MbT83+oSktLA9TdikOl69Hf3x/hUkXOau99oLgN+0vjH/7wh6ipqcHXv/51mM1mfOlLX8L777+P48eP45VXXsG///u/Iy8vL6hjRfu/+APK/u8OvmWrcwCvn/Z/gVZXqUNeWgoAwGh34gs7y/1+7rgxgmp9Ad5oM3ot95WfnorqMo3oebYX5+Htsz0AgBq9Bu199oDH8txe2Cc9Pd3vekvVq76yEHp9GfR6vejxoynasVut1+CNNv9rVqPXIDExUbExLSZQXbKzs2OqLp6UmlsiFbue9zVQnthTqoYuc53ouuTExIDxoVKpJNd75h/fXOS57G8P3OWVZ+TIR4GOodFoUGeYjGrOU2psrmQ1sRvoXszMTIv2se199oBxJ/zD6vbiPHzcP4LtG5bHPCv1hzlpKTDanXhiV3nA2LxPXwC9Xu8VB92zg3DNL4rXsVK3puNGqeXyFOnPU+gyx7GtWHwsXq3XQJWUgJ03v7fqyzeuxdYLMburJB/ZPuPPH3X04Eu7K4LK/8Kx/mrfJrx6qjPguZQ8JgxVLMSsp1gqq6+V+vSRkZGgn0s8n7d8VZdpRGM4Pz0Vu0vUosfz3Mez/Ui1l+qy5f5n383nOcFKbaw4ax30+hLZ2k4sPLfx8xRB1unHV0I6drSuVTzeJymBYjeenv9DVa0fl6i7FhqNxv1HrPFK7nsf9s9TZGVlITMzEwCQnZ2N+fl5/Pa3v8U777yDt99+GyUlJeEuwppVa9Bha2GO17KthTk4UKHF1qJcbC3Mwenrdtypyfb7+QdtRuwv1/ot9z1W5roU1JRrRNfdoclGW58dWwtzUGvQ4YXfnQ94LGF74fd6gy7kepG4g5Xi10zqGitZPNWFbvG8r4HyxJ2aLHf+8l2ny0pD3QrxIRU/nvlqW1Gu11//COun5ub98owc+WilYzDnRU6gaz05OSm67d//9rxk3Al9nxBXP2g3iva5vvttK8pFTnoqpubmV4zNfSJ/yba1KBfbJdoJ44Z8bQsQL0XZ6SjKSscWXY5krHrGte96z/itUGehMCvNK/4nZ+dhUGcFlf+FPFxTrsHU3HzAczHOaTVW098G87zlu26/RAxnrkuBPj9TdB/PuPdsP1LtpaZcg5+c73U/zwlOX7dLtvdtRbm4I3+9ZF1Xg2MYouhYy8/MBzcVite9Mv7rDsh/78M+Ed7k5CSef/55DA0NYW5uDk888QS+853voLCwEFlZWQCA3bt346//+q8lj6GUycQAZf/LldTkDM3dVjR2WVBXqcOBCq3XbL7N3VacuzGCw1UGfHxjGBcGRt0/m4Yn8IWd5WjutuCSxYEn9xhw7sYImrut2KcvwJbCXNxwTGJfmRrTc4toMFrQahpCbYUWOzbk4c12I7boloMzOTERH3Sa0WKy4sE7irCnVI1GoxUnTVbcV67FgQot2q4P4fedZtToNag3BJ7dMVC9lERJsTvgmETDzZnGg7nGShZPdREoLbdEI3Y97+sfbSrE3o0FaDHZ0Gi03pzZW4PMFBWuWsdQoc7EiR6rOwYOVOjwTkc39paqcYcmO2B8COdpNdlwoEKHnRvy8Va7EZt12dhWlIf1qSq0XbfjhE+u21OqFs0zcuSjlY4RzZyntNhcye3GrtS1DtTH2pwuPLK1FI0ecVdn0OGXF/uQk5aK+kodZhcW0NhlRefQOJ707XP7h9HUvRzn1foCzC0sotvuxJ3abPywvdsdmxkpSTjTP4xmo9VdNqupC5/61Kf86jE04cKoaw4tPTa099lRa9CiLoIz1is1bpRaLiB6E+EBgHlsCuMzc2g1DS3HS4UW24pzYbQ7sa9MjdkFYGJmDmf67TjRbcN9FRrsLlFjZn4B5wZGccXicI8fm41WHDBocc+GfLzVZsRmXQ62FObghmMSezeqsbgE9/jzL/dU4IrVgYr8LFy2LH/ntNagxb4yDU6ZbF5jzh77OMrVWbgxOoEdG/LRZLSixWS9mcfz8FZ7N3ZsyFPsmHC1lByzgniZCA8I3N9K3Ytgnrc812EJcEzPerW3XSX5+EGbEbtK8rGrNB+nTENo7rZi70Y16isLcdkyCl1WOi6ZR3HKNIQH7yzCjg35ON1rQ6Um2728Wq/B/nINrlgc2KzLwWXLKAqzM3DJPIpW0xBq9Boc3FSIxASg0WhBk8cYKzctGeYe8T4lXNc0mjgR3tqdCC9W6iIl2NiNx2fmYA2MTaGhy4IWkxU1ei3qK3VrYhI8gZz3PuwvjW9Q4PgAACAASURBVOWgpBdvSu4sWDblUVLsChYXF5GYGPb/ZBARY2NjyM7OjnYxZKG0NqLE2I2k3t5elJWVRbsYiqC02FxJuGJXqdeB5QqNUssFRPelcay7du0a7rzzzmgXIyxi4b7F00vjQGLhXtyutVBHAV8a86VxsGL1pbEgnp7/Q2Wz2eL+cxSByHHv12bkEK1h8fTR+1ie9I6UbXhYfNInIiJSHt/PxxAREdGyeHr+D1U8T3oXDDnuPV8aExEREREREREREZEbXxrHkbw88ZmrlaCoqCjaRaCbduzYEe0iyGb79u3RLoJslNx+16L8fP/JxYiUiLmDiIjkkpGxNr53SrSWxNPzf6g2b94c7SJElRz3XiVDOShMrE4XmowWNBqtqDNoUSsxgc2t7Syoc8BvO9/j1JRrcdk8ioLMNFwcHMWp3iH38jN9dvzXtQHUGnTYV6ZBS48NzT0WVJdpUF+pw9n+YfzXtUF3eRaXgNYeKyoKsnBpcBStvUPYV1aArUW56B2ewF26bPyw3YhPFeZiy9IoOm1jqCjIQvfQOPaWFSBVlYiPeodQkrveXZbqsgJsKcpF99A47tVr1tQHy8NpwDGJ413Lk39V6zU4WBm7H8KPp7qs1H7jgdXpQtv1W+38inUMT1YZ0NE/jAuDI/jLPQZctYyhLH+9V06qNeiwsLAE5+zyZF5n+u04UKHDvWVqJCQkoNlovRUDmwrduWJgbArHO82i6zzXX7Y48GSVAVetYzCoM5GclIhW0/KkYfeV65CQPYEz1+041mVBnWF5AoXFJbjzqZDr+kcnULWxYIX8LJ7HrU4XGrosaO623JyIRovctGQUrA9fDATbt5C3/JJy/PpSH0py16N7aBx3arORnJSIa7YxbC/KQ3P3rXg8UKHFVesYdmzIgzYzDYNjU2jrs6Msbz3+MDiKj3qHcKBCi50l+XizzYi9G9W4Z0M+jnWa0d43tDyx181124py3T/vKM513y/P3PHgRJLf/veVa/BR7xA+7DSjpnx5AoyOG8M41Wt3t7/mbsZAPLo1CaIV7X3LebO+Uofk5GQA/jlAmE1c2KdzaBxP7qnE2f5hNPdYsK9seWLHjJRE5Gek3TrH1BxaTFZ3zqw1aJGqSsDw1K1z31euxZbCXHTaxnCvXoN1qgQc67x17vs36TC7AIxPz3rl+fsqtOjot+O3Vwf9YtS3fg/eWYxd5XfgJ+dMXmNdYX+pXC11nQKNodlWCPAYZ/TacKBch10l+Xiz3TtHA/7xs79ci+m5BTR1W9ztrOPGsOgYYHjShanZRTQab4136w06zCwsoL1vOX9X6wtw383nt2NdN4+h10CVlIB3z/XiT7dtdOf6P76rCDtL1GjpsaLRaMWBCi2q9Rqc6rWhyWhxt7srM6n47v93Oqgxzlqz58dXgB9fCXp7pX0Hl9aeeHpmDtVarjsgb/05EV6IIvUBfKvThUOvHcNFs8O9bGthDj545n6/wWyg7aTW/+JwLT77VpPf8pc+sxsPvPohPvyrB/Dce2ck1wu/H3m0CtPzi5LbPvfeGfc+vsuee+8M3n+qHl1DzoD7H336YMy+OFZK7A44JvHQGw1+1/joU/UxlzzjqS7BtvNokCt2hToK7fmi2eGVX4SfPdcLjM8/AvO4C1/5eZvf8j8RyV9Hnz4IAHjo9eOi64qz0zEwNuVe73nudapEv/P45ryTXzskuc1z752RLT8febQKFerMsMTAamIu1iZ+CUfe9Y1jz5iR6k+F5UefqsdDbzSIxrgQPwAC9rm+Px99+qBXnAfbZwc6l9x5R6lxo9RyAfLErtXpQrfdKZqrfvXFGqSlrfPLASe/dggA3PtIxdMvD9ciPWX5702kzvHLw7Wi+VmI/18eroXhn37lXieV58Xi94Nn7hc9dyjxL+TqQHVYKUdHuo9WcswK1tJEeDrDXaLjDM8cLcSYVB+///sfSMbtkUersDFvPWbnF/zaUqBxiO/zmS4rzatvCqWdSLWbaI9N5RZqzo31ydPEcCK84CjtXgYTu/H0zByqtVx3QP768/MUCtVktHjdZAC4aHagudsa0nZS61t6bEhPVvkt/8Q2hi/vMeCabUx0v09sY6gqVbt/tzhdMNrHJbdNT1a597lodqDbPu5elp6sQpPRgux1qoD7N3RZgrlkFMDxLvE4aDDG3rWNp7oE285jWZPRgowUlTun7N2o9vvZc73gyzf/Avj84Kjf8hM9VtHr1jc6ieOdZvH4uJlHhPWe5x51zfidR9iv2z6OqlI19m5US24j5Cq58vMFkfPIZS3EXDh4xrFnzOwpVeOkRDy29Njw3IHNaOy2isa4sJ3DNROwHxX6T+HnjBSVV5x7timp/YXfu+3jGJ2aYQzEsYuDo5K56nT/KC76rNu7UQ2z0+XeJ1A8neyxYXhyRvIcGSkqyfwsjP9O9tjw5B4DAOk877mPZ/xeMjv8zh1K/Au5Wuw4nvutlKPZVtau/Px8yXGGZ76+ZHYE7OO/XCX9rHVhcBQjk9M40WPza6uBxiGesX7Z4sBVq2PV7USs3TDuiWJLPD0zh2ot1x2Qv/58aaxQjUbxjrnR5wXqSttJrW/ttcGgzvRbfn5gBPeU5OHCwIjofucHRrz2c7hm0dE/HHBbz33O9g97LWsx+b+89t2/xcRByu1qNdlEl7dILFeyeKpLsO08ljUarTCoM905Rexnz2WCnRvyYHG6RJefMg2Jnmt2YSFAfCxfa2G957nHXLOSOU/IWWJlFAi5Sq78fH5gBP2jk6LrbtdaiLlw8Ixjz5gJFI+tvTbs3JCPlh5bwPgJph/1/NmgzvSK82BiU3C2fxhjrlnxOjIG4kK/Y0oyHpp7bOhzTHkt882BgeKptdeGhATpcxjUmZLtQcily+1i+TvcUnnedx9B3+ik37lDiX/hd7HjeFopR7OtrF0ZGRmS4wzPeOsbnQzYx+/cEPhZS5WUiFM+5wk111vHp1e1r9TvjHui2BJPz8yhWst1B+SvP18aK1SdQSu+/OZ354LdTmp9dZkGRrvTb/n24jx83D+CbcXiE+tsL87z2i8nLQU7S8QnjBK29dxnV0m+17IavQZTc/MB96/Ri9eBglet14gur5FYrmTxVJdg23ksqzNoYbQ73TlF7GfPZYKOGyPQZaaJLt+nLxA9V0pSUoD4WL7WwnrPc2enpUjmPCFniZVRIOQqufLz9uI8lOSG579OrYWYCwfPOPaMmUDxWF2mQceNYdSUawLGTzD9qOfPRrvTK86DiU3BrpJ8ZKeliNeRMRAXSnLSJePhQLkGpTnen/vyzYGB4qm6TIOlJelzGO1OyfYg5NLldrH88koqz/vuIyjNzfA7dyjxL/wudhxPK+VotpW1a3JyUnKc4RlvpbkZAfv4jhuBn7XmFxaxz+c8oeZ6bda6Ve0r9Tvjnii2xNMzc6jWct0B+evPl8YKVWvQYWthjteyrYU5OFChDWk7qfU15f4va7cW5uAOTTZ+0G7EnZps0f3u0GSjrc/u/l2XmQaDOkty26m5efc+WwtzUKHOci+bmptHrUGHsen5gPvXc5By2w5WisdBvSH2rm081SXYdh7Lag06TM7Ou3PK6et2v5891wt+0GbEXdpsbC/K9Vt+X7lW9LqV5mbg4KZC8fi4mUeE9Z7nzk1L9TuPsF+FOgttfXacvm6X3EbIVXLl520i55HLWoi5cPCMY8+Yae+zY79EPNaUa/BS8xXUVWhFY1zYLictNWA/KvSfws+Ts/Nece7ZpqT2F36vUGchNz2VMRDHthblSuaqvSW52Oqz7vR1Owoz09z7BIqn/eUa5GekSp5jcnZeMj8L47/95Rq82W4EIJ3nPffxjN8thTl+5w4l/oVcLXYcz/1WytFsK2vX8PCw5DjDM19vKcwJ2Mf/oE36WWtbUS7yMtbhvnKNX1sNNA7xjPW7dTm4S5uz6nYi1m4Y90SxJZ6emUO1lusOyF9/ToQXokhORmF1utDcbUVjlwV1lTocqNCKTkAgbNfQZUZ9ZaHfdr7HqdZrcMXigHr9OlwyO3DKZHMvP9tvx++uDqLWoMW+Mg1OmWxo6ragWr88c3bHjWH819VBd3kWl4BTJhvK1Zm4bHag1WTDPr0GWwpzcH1kAndqs/HD9m5sK8rF3bocdA2NoVydhR77OKo2FiBVlYjT1+3YkJPhLku1XoO7C3PQY3dib1lBzE6CBygrdgcck2gwWtBisqHm5gzMsfoh+Hiqy0rtN1rkjF2r04X2vlvt/IrFgcNVBnx8YxjnB0bxl3sqcM06ho15671y0oEKLRYWl+CcmUOraQjtfXbUVmhxb5kaSEjAiW7rzRjQor5S584VA2NTaOiyoMVk9Vvnuf6SZRRP3vyGe0V+JpKTEt3nOVChxT59Ac72DeNYpxl1lTrUGZZznpBPhVx3wzGJPaXqgPlZKo9bnS40Gi1oMlpvzpyucc+cHi7B9i2CWJiEyVO48m6vbRQXhyawIScDPXYn7tBkITkpEddsY9helIcTPVZ3TrqvXLu8vDgP2sw0DI5N4UyfHaV563FpcBSneodwwKDFPRvy8VabEXs3qrFjQz4ausw4fX05zu8pWV63rTjXvd2ODXnu+3XrPprx4F3F2FHssb9Bi/16DU5ft+P3nYPYr9eizqDFxwMjOGUacre/ZqM1qBhYDaXGjVLLBcgXu0MTLoy65tDSY1vOmwYt6gw6WE1d+NSnPuWXA4S/iBT26Rwax5NVBnT0D6O524LqMg0OGHTISElEfkaa6DkOVGhxoEKLVFUChqe8ly+P/8axt6wA61QJON5169wHK7WYXQDGp2e98vz+Ci0+vjGM314Z8ItR33N/+q4i7CzOw6nrdq+xrrC/VK6Wuk6BxtDR6KOVHLOCtTQR3s6dO93jiFaTFQcqdNhZ4p+jAf/4qdFrMD2/gCajdbmd7THg44Fh0THA8KQLU3OLaPIY79ZV6DCzsIgzfXY0d1tRrddgf/ny89uxTguqNqqxT6+BKjEBPznXi0e3bXTn+j/eXIx7NuSj1WRDY5cFB4RnvV4bmozW5X6jXIv2Xit+32kNaowT6zgRHifCC5bS7mWwsRtPz8yhWst1B+StP18ah0jJAzeTyQS9Xh/tYogym80oLCyMdjEiTkmxK1hcXERiYnz8J4P5+XmoVOLfxI41Smu/SozdSOrt7UVZWVm0i6EISu73xIQrdpV6HZSWOwRKvV5KLRcQ/ryr5LrfLtYtutbaS+N4du3aNdx5553RLkZE8KUxXxoHS2n3MtTYjafn/1BNTU0hPT12/wjxdslx79dm5MSpkRHxCQ6UYHBwMNpFoJvOnTsX7SLI5sKFC9EugmyU3H7XouFh8YnJiJSGuYOIiOQyORmeiXiJKHri6fk/VFevXo12EaJKjnvPl8ZERERERERERERE5MaXxhQR+fniM8NT5O3YsSPaRZBNaWlptItAcaqoqCjaRSAKSl5eXrSLQDEiIyN+v+XHdkAkj7X4OUGieLd9+/ZoFyFq4undx2rIUf+wfwx0bm4O3/jGNzAwMIDExER8+9vfhkqlwje+8Q0kJCSgsrIS//iP/7hmv7GyGlanC01GCxqNVtQZtKj1mbQjmP0buixo7rZgT6ka1XoN5hYW0TPsRNXGAvcEO8I5/viuIuwsUeNEt9W9T51BhxRVEpqNVpzoWV5Wo9ciOSkBM/MLSEpMRHufHSd7rO5zXLM6kJiYiLN9wzjRY8WBCi12bsjHm+1d2FSQ5Z64ITEhAZmpKhSsT8PA2BSOd5rdE+zVV+qQnJiI09eHsDFvPf4wOIqPeodwoEKL3SX5eKPNiB3FuSFfk2i63fsZrAHHJI53WdB6c7LBg5Xyfww+YnXxiItq/TgObiqM6QkTY91q7rtwDy9bHHiyyoCPb4yguduKe8sK8KmiXFjHXdhamLP8Af+e5fZfZ9AhVZUIbWaaTwxovGLA6nRhZn4RjUaLe3JN3/VNRgvODSxPhHe2fxgneiy4r1yHXSX5eLPdiLu12bgvdQJn+uw41mVBnWF5Qr3FJcga45FqMyQuUBxJsTpdaLs+hJLc9bgoTGpXocX+cg1O9w7hw04zqvUaPLCpEGMzc2i/bndvc8+GPLzZZsTduhwcqNDiqnUMOzbk+d3zwbEpNN/sc/eXa7GrJB9vtXd79W+34ngET2bk42z/MJp7LNhXttxWPCctCxXjMv4MTbiQmFeIN9u60N5nx33lOtQatCgSy4s3J8G7MOj98+E9FTjbP4yTPcuTf+0pVeMn53vxp9s24orFcXMy01G0moawr6wAW4tyMeR04W7dci6/ZPbO98I2/aMT7vHnrcnprGjvs+PBO4uxu1SNlh4rGo1WPLy5GNuK825OQnarb5hJz8WvL/W5j+PJN55ryrXo6Lfjt1cHGd/kFkzeS05ODik/rvQ8Va3XYHFxCZnrkrEE4GS3FSduPjvV6DVITkrE0hLw76e7sKM4F/vLtTcn0rPcnEivEh03hr3aU9/oBHZuyEejx/ip3qBDSlIift856NcOxcpVkzzuNymvb9s8UKFDfaV/3dl/EClHJJ7/lWot1x2Qt/5hnwjv2LFjeP/99/G9730Pra2tePfddzE3N4fDhw+jqqoK3/zmN7F//3488MADksdQ0oRM0Z4Awep04dBrx3DR7HAv21qYgw+euR83Oq+sWDap/Y88WoXp+UU8994ZHH36IB56/bh7mw//6gE8994Zr31Ofu0QvvLzNtHjFGal4U/eavJb98vDtaLLX/rMbjzw6ofu/QUbczPw0BsNAcsa6FgfPHN/1AcpK8VuoPspZ9kHHJOi1/LoU/WyJc+I1WVsyis+hfMcffpgTL84jnZu8RVs3l3Nffe8h2L5ZWthDn5xuBaflcgjKUmJ4vH89EEAwOz8gmiuOfr0QagSE9zllTq3Zx4Rfgak895qYzxSbeZ2KS02VxL0jNIh5pKOjg5s2LQZh147hpc+sztg7ADS8eIZX0Kce95zqXJ57ufZT0vF8S8P1yI9RRVyLMkVl0qNG6WWCwjfeNfqdKHb7hSNx0B5Uepnz/2FGJZqE565PFDOFcaf10cmvMrpu0/X849I9g2mkUk8994Zr1iVimfPtqrEvOtJyTEriPWJ8ILNe722UTzyny1B5UffY0rF/5FHq1CSm4GHJZ55AGB6ftHrWWn/9z9Y1fjJ8E+/8tsvULkq1Jnuf6SUyiHBtDelti9OhMeJ8IKltHsZTOxG4vlfqdZy3QH56x/2P+/V6/VYWFjA4uIiJiYmoFKpcPnyZezZswcAcN999+HUqVPhLkbcaDJavG4+AFw0O9DcbQ3qvx1K7X9hcBSOqRmkJ6vQ0GVGevLyH6Hv3ajGNduY1z57N6pxyeIQPY7F6UKraUh03ckem/u4nss/sY2hqlTtLodl3IV1qkQc7xIv62WLA6NTM6Lruu3j7mM1d1tXvB7RFuh+yknqWjYYLbKdI2J16TSL16VLvrpQ8FZz34V7KJZfhP1bJPPFOBokztnQZYFrdg4neqyS66+PTKx4bs+cJPy8d6Ma5wdHZY3xSLUZEhdqLsnIyECT0YKMFNWKsRMoXjzjq6XHht0laq97LhUXwn4ZKaqg2tDJHhuuj4Y+oRHjMv5cHByVjMcmo3helPrZd/+Peoewp2TlXL5Szk1PVqHJaIF53OXexnefL1cZcFIiv5/ssSEBS0hPVoXUnoTfGd9rW7B5r/X6cND50fOYgeL/ssWBS2bx9nlhcBRDE9NwTM14PSt9eY8h5PHTyR4bvvPp7V77BSrXBY+cESiHBNPe2L6IIi8Sz/9KtZbrDshf/7B/niI9PR0DAwP49Kc/jdHRUbz66qs4c+YMEhISACw/hDmdzqCOJfwLdrR1dHRE5bx5eXlolLjRDV1m7N6lC1i2QPufHxhBVakaBnUmWkw2GNSZaOuzw6DOxIUB75nZDepMdPQPix7H4ZpFe5/4utbeW8f1PbewXChHWko2Wk020eOc7R92D/TF1gnHaugyY3f2kujM8pH+Kwix2F3xfkqUPVQ7duyQvJYtJhu+cI/+tmfVjFRdSktLA9TFikOl69Hf33/b54mWYHKLEmJXsJr77nkPxfKLQCpfmMddaOsbEt2nxWRFfaUWp0zS60tz0lc8t29OMqgzkZAAye1XE+ORajNykaPfU1LsriaX5OXlofGiJajYCRQvnvHV2mvDzg15aOyyYHf2EtavX4+TPeLl8jx2sG1oY24GTCZT0LEkd1xGa7y0klDLpaTYDVVeXh76HfOScXKyx4YN2f55Uepnsf3vKcnDuRuBc3kwbeJkjw17Sm7NgeF73p0b8iTze2uvDZ/foYdBnemOVQABx72efYwS866n1balaPzVr1LbvZRg815eXh5O9orHn2/8+B4zUBs62z+MpMQE0XXnB0aQmqR2H0MYlwTT5nzHT629Njy+rQw/Pd8bVLnOD4wgVZWIoaEh9DsmJbcT+i9Aur2tpn1FMnbD9Y4hVtpCuMoZzfrLfe5QjqeE2N2+fXvA5/8/374RFy5cCGfRoiYS7z6UbLX1DxS3YX9p/MMf/hA1NTX4+te/DrPZjC996UuYm5tzr5+cnERWVlZQx+LnKYA6B/D6aaPf8vrKQszMTK9YNqn9txfnISctBUa7E89Wb8IrrZ0AAKPdiS/sLPfa1mh34ku7K/BGm/9xctJSUKPX4PXTXX7rqss0ePVUp+i53z7b41UO1+w8qvUa0XPsKslHdlqKaP2E7z4Cy9dEry+DXq8X3TaSpGI30P3U6+Uru9S1rNFrkJiYKEtMR64u4xJ10UKj0UCj0chynkiLdm6RslLeXc19F+6hWH5xbyORLwqz0lCt14ies0avhWt2Hvv0BZIxkpacBEA8twl8c9LbZ3uQkADJ7Vcb45FqM7dLqbG5kpViN9Rccu3aNdQZdPh/T15bMXYCxYtnfFWXaXCyx4YH7li+5wCwv9wp2od6HvuZezcF1YbSUlTQl+pDiiW54lKpcaPUcnmSe7zbPTsI1/yi6Lr95RrRvCj1s9j+zUYrtm8Qn4hOyOXBtImv1tyBdaok93Lf83bcGEG1RH6vLtNgcWkJRrsTf3vgLnd7CjTuFdohoLy86ykWYtZTLJVVEGze229fCDo/eh4zUBvaVZKPwizxTzdsL85DfkYqFhaXY1tY9nH/yIptTmx5e58d24pv7bfSWKg0dz0KCgpQMjInmUPqKnUrtjclty8ghJz74yshHTcW2kJI+SVG6h9UnWKkLisJFLuBnv9VKpVi6ySHSLz7UDK56x/2z1NkZWUhMzMTAJCdnY35+Xls3rwZbW1tAIATJ05g165d4S5G3Kg16LC1MMdr2dbC5Ql1JidX/m+oUvtvK8pFTnoqpubmUV9ZiKm5eQDA6et23KnJ9trn9HU7tuhyRI+jy0xDtb5AdN3+co37uJ7L79Bko63P7i6HLisN0/OLOFgpXta7dTnITU8VXVehznIf60CFdsXrEW2B7qecpK5lvUEn2zkiVpdNheJ1qZSvLhS81dx34R6K5Rdh/xrJfJGFeolz1lfqkJaSjPvKtZLrN+atX/HcnjlJ+Pn0dTu2F+XKGuORajMkLtRcMjk5iVqDDpOz8yvGTqB48YyvmnINzvTbve65VFwI+03OzgfVhvaXa7AxN/TvljEu48/WolzJeKw1iOdFqZ9997+3rADt/Svn8pVy7tTcPGoNOhRmpbm38d3nB21G7JfI7/vLNVhCAqbm5kNqT8LvjO+1Ldi8V70xP+j86HnMQPF/ty4HWwrF2+e2olwUrF+HnPRUr2elH7QbQx4/7S/X4IXfnffaL1C5tnnkjEA5JJj2xvZFFHmReP5XqrVcd0D++od9IrzJyUk8//zzGBoawtzcHL74xS9iy5Yt+Id/+AfMzc2hvLwc3/nOd5CUlCR5DE6E583qdKG524rGLgvqKnU4UKGFNjMt6LJZnS40Gi1oMlpvztxbgLmFRZhGJrCnVO2e8EA4xx9vLsY9G/Jxssfq3qeuUouUpKSbM+3enOW3XIPkpATMzC0gKTERZ/rtONFtc59jaWkJiYmJ6OgfxoluKw4YtLhnQz7ebDNiU0EW9ukLoEpMQGJCAjJTVShYn4aBsSk0dJnRYrKhpkyD2kodkhMT0dY3hNLc9bgkzFxvWJ5d/genjdixIc99TaItmNiVup9yG3BMosFoWb6WN2dSlvtD8BGry9gUGrosaDFZUaPXor5SF9OT4AHKyC2eQsm7q7nvQtu+ZHHgyT0GnLs5i/e+sgJsKcqFzenCFl0OGo1WnDRZUVOmwQGDDqmqRGgz0wLGgNXpwsz8IpqNFrT03oz3ykKv9c3dVpy7MYLDVQZ09A+juduCAxU67CzJx1ttRtytW37AOttvx7HO5XrVGbRYXIKsMR6pNnM7lBabKwkldkPJJcJ1sDpdaO+zY0NOBi6ZHThlsuGAQYsavQZt14fw+04zavQa3F9ZiPGZObT3Dbu32VGchzfbjdiiy8F95Vpcs41he3Ge3z0fHJvCiW4rmrqtuK9Cg50b8vHD9m6v/u1WHA/jcFWlO46rb7aVjJRE5GesLpbkiEulxo1SywWEd7w7NOHC6NQsWkxDaO9b/oeKAxVaFEnkxY9vDOPCwKjXz3+5pwIdN4ZxotuG2gotdpeq8dPzvXh020ZctTpQmrsel80OtJps2KfXYEthDuwT09iszUaj0YqLltHlfD8wgmaj1b3NDceke/w5NOHCqGsOLT02tPfZ8em7irCrRI1Wkw2NXRY8fPcGfKooF43CeOZmvE/NzqHL7nQfx5NvPFfrNfj4xjB+e2VAsXnXk5JjVhDrE+EBweW9P/zhD9DqK4POjys9T1XrC7C4uITMdclYAtDSY7v1XKUvQHJSIpYAvP5RF3ZsyEONXoPp+QU0Ga3oHBrHkzfb53J7KsCWwlzcGJ3Ajg35aPIYP9VWXuHT/QAAIABJREFU6pCSmIgPO81+7VCsXDXlGuSmJaNg/a16+bbNWoMWdQbdiu1Nye2LE+FxIrxgKe1eBj3pcwSe/5VqLdcdkLf+YX9pLAe+NA6OksvW29uLsrKyaBcj4pQUu4LFxUUkJob9PxlEhM1mi9nPUfhSWvtVYuxGktlsRmFhYbSLoQhKi82VhCt2lXodTCaTIv/Lr1Kvl1LLBYQ/7167dg133nmn7MdVAqW2AzkoOWYF8fDSOBixcC9u1+DgIIqKiqJdjIjgS2O+NA6W0u5lqLE7Pz8PlSrsX6ZVpHh697EactR/7V49iqjhYfHJ8Sjy4unD77E86R0p2+DgYLSLQBQUpU7cRcoTzGfMYhXbAZE8zGZztItARDKL10nvghFP7z5WQ47686UxEREREREREREREbnxpXEcUfJ/pc7LE5/hlyJvx44d0S6CbLZt2xbtIsgmnu5LPMjPz492EYhiWkbG2vluHEUfx5lE8mBbIoo/a/k5c/PmzdEuQlSVlpbe9jGSvvWtb33r9osSXgsLC+5vl0b7Wyxms/m2v/Nkdbpw9MoNfL/lE0zOzqFg/TrMzM/jxpgL713qw2sfdWJseg656Sn4yDSE6fkFjLpm8etL/Xjto044Z+aRqkrCi42XMTQxjex1KWjqtkC1Lh0ffjKIV051wjkzh1RVEl77qBPazDSc7LHCNb+ADz8ZxP8814vS3Az8/pNBvOxRBtfcPH5zeblci0uLyExNxm+u3MDLLddgm5hGRmoyZucXYR6/VU7nzDw069dhfWqyu27vX17eZ2J2HlnrUvC7qwP40WUrxqdnkaxKxP/deBk25wyWAFwYGMG6ZBV+d9X7egjHi3VKit0BxyR+dbEfr5zqxOjULNQZqchalyLrOcRiOxz3UqjLqx91ha0ukRKJ+7Ia4Y5dz1xhm5hG1rpkOGfm8P7lfrzS2imal1KSErBOlYRfXezHkdZPlq/X+nXIWucfY8HG4sDYFH51sc99PF1WGsam59DUPx7wHL77qTNScbp3CC82XvE630rluHUdPsHw1HJebLs+hNz0FK+8KhxjZGoGiwDO9A0hJy1F4li38u9vrw545fn1qckYcEzivZsxF+h4Ajn6vUgKV+wGug5CPPz4YxNKczPw4SdmvNxyDVbnNDJSVJiZW8T03DymPOLZOTOHlKREvNhwGeZxlzuGXj9txN3abIxNz3rHukRukCqXEDe/vnwDG3PX471L4sfyjeXc9NSbZXche10yfnd1AN9v+QTTc/PISFF5tVFt5jpMzMy741MYe7zYeBkLyWnQZqUprj9XcjyHO+/61t197099Auf0vNe40XeMKOQzz7ydnqKCZdyF09el80cgvsfLSEmGc2YWfaNT+ODa8njWN2/65tTc9FQ0Gc344R/MmJydl9x2fHoOyapE/PtHndCu9x4Xe46bhbG178+e4+nZhUUc7zTj5Vah3Co4XLP4vxouY3hyWjTP387YSMkxKxBiF4Diyyom2Hskdi+sTheOdZq94mnUNYP89FScuzGMjBSVO0++02FCSU46TnRbMT2/iGOdg3il9VZf3NxtgSopEeOuOUzOzuPMdTtSVYnuPOwZ8/9P81XJ50jh+cw5M49f/qHPbzwjVl9hvPXOJYtfW1rt9Vrt9pESas79P37/h5CO/4+HlP/HLaHkl1ipfzB1ipW6SAk2dpX6nBkJQt1fb+tec3UHbo3x/uNcf8Bn5mBwIrwQ3e4ECFanC4deO4aLZod72dbCHPzycC3+5K0mv+W/OFwLy7gLX/l5m9+6lz6zGw+8+qF7u89K7P/Zt5rw0md247n3zuCi2YEP/+oB98+e2x55tAr7v/8BAEhuI1XOD565HwC86iZ1jGDK/cEz9yt2pt1QKCV2BxyTeOiNBr/rfPSpetlmEZWKbbnvZSTqEilKrks4Y1csVk5+7ZBonvPMS13PPyKaL44+fRDF2ekBjy8WiwNjU3jo9eNe2xmff0Q0x3meQ2w/IZ9V/tOvvPYR204oh1Q5hXwtllfFthE7llT+PfpUvWjM+R7PU6xN/BPpifA84yFQ/1qYlQbzuMsdz8I63z6xd2QSmwoy8d+CzA1i5fKMB8l281Q9kJAgGcu9I5NedRGrm1S79ayT0vpzJcdzuMcMnnUPlMek8qzY9kcercL0/KJk/pAS6nh4pXz4wKsfBrWt2LhY7FhS41Wp/YTr4Bv3coyNlByzglieCC+Ue+R7L4R9peLi/afq0T866c6TQh4NFH/PvXcGRx6tAgCU5GbgYYk+2zPmpdqN5xhKWCY1DhDbVuwahBrTkXo+WA1OhMeJ8IKltHsZTOwq+Tkz3NZy3QHpMZ7vM3Ow+HmKCGsyWrxuHgBcNDtwsseG9GSV3/Jr1jFcsjhE9/nENoaqUjUumh1okdi/pceGPSVqXLON4aLZgb0bb/3su+2FwVFUlaqxd6MaRvt4SOVs7rbi4uCoe59A5xHKnZGiwskeq+g2zd3WQJeRQnS8SzzuGowW2c4hFdty38tI1CVS4qkuofCNlb0b1TjvkT8Ennnpy1UGyXzR0OV9vYKNxeOdZq/tvlxlwIkgzuG7n7BNS48NT+4xeOxjlsyXgcr5iW0M6ckqXDI7VtxG7FhS+ffPdpRJxpzv8Sh4Qjys1L9etY5hZn4BVaVqr3W+ffld2kw03GZuEOIhYLsxWnB9ZEIylhOwFDCmArVbzzoxppRJLI9JjcsyUlSSee/C4CgcUzMh549Qx8O+40zPdUK8Cb8Hyp2+42KpY4m1zT0l0uNj4Tr4xn2kxka0erdzj5qMFmSkqCTjqclowdzColcfEWh7oS++MDiK2fmFgGMAIeYzUlSSYxdhDCXISFFJjgN8t5W6BqFeL7YBouhYq8+ZwNquOyD9rOr7zBwsvjSOsEajeAfZ2muDQZ3pt9zidKGjf1h0n/MDI+59pPZv7bXhnpI8XBhYnlXaoM50/yx1PIM6U/KcUudp7LKgzzHl/j3Y85wyDYlu07jKgCZxrSab6PIWieWrIRXbct/LSNQlUuKpLqHwjZVg8sXODXmS+aLF5H28YGPR9/oHew6p+9baa8PODbe+Bdhiks6Xgcop1LlvdHLFbcSOJXU995SqJcvuezwKnnBNV4pji9OFxIQEv5jw7cszU1NuOzcI8RA4pm2YW1gUXdfaa0NiQoL7d7G6BdNuAfbnSiUWY1LjMoM6M2DucLhmQ84foY6HfceZvmXw3CdQ7vQdFwc6lm/bvKckL+CYXLgOQnmByI2NaPVu5x41Gq0Bc6Fnzha2CyZ3nh8YQUJCwop9tnBcqTzv2zZWasu+bU/sGoR6vdgGiKJjrT5nAmu77kCg+q/uH+v40jjC6gxa0eXVZRoY7U6/5brMNOwsEZ+QaXtxnnsfqf2ryzT4uH8E24qXX2QY7U73z1LHM9qdkueUOk9dpQ6lObf+1D3Y8+zTF4huU1epE11Oq1Ot14gur5FYvhpSsS33vYxEXSIlnuoSCt9YCSZfdNwYkcwXNXrv4wUbi77XP9hzSN236jINOm7cehCs0Uvny0DlFOpcmpux4jZix5K6nv8/e+8e1dZ1531/AUlcxEUIoQs3IxC245hgxzE4BpuLmyaTzkzSZObprLbzPHGTPGmn7bOyMrNmZnU6q2neebK62jzp884kbtLm0uk0bfqmsZ0mTus4MWADMTjEF2zMRSDMRTcECGRJIAl4/xBHPpLOPjoCoQs6n7W6Gs7ZZ+/92/u7v3vvYzi7Z9xCrHtgfjzcodo0lI6VOZlYWV0N0kTgXG5bcm3YGyg9sGtaDmEa8zKwvlyOFdrXy5hi4zJuAX4+j1eYNEZal2ktNlbvkGSKwvaPcNfDgevMwDrQn2HzzsB1MVtegWPz84lZ1jU51Q5UfYHorY141s9G+qhZo2D1QrpnU+m4eOeeYilWV1dDztlUviSfDxwbocZy4NhjaoNw24sfAzw8sSFZ95lAcscOsMXP7Meh4F8aR5kmjRLVKonftWqVBIcq5HC4PUHXdyrysFspYXxmhzwP3eMWVKskaCA831AhR8+EBTvleahWSXDh5u3/DkxbU5SP7nELLty0QCPLDauejZUKVBfl+55hK4eqt93lwaEKBWOaxsr1CZqHmSNVzLpr0URuwUbSdqT7MhqxRIutFEs4BGrlwk0L9tD8g4LuS693a4l+0RKw8eCqxSPbVX7pXu/W4jCHMgKfo9I0VMjxRo+W9oyK6Jds9dwhz4PD7cFulSRkGqa8SP779qUxouYC8+PhDqWHUPPrHYo8pAvS0D1u8bsXOJffMNnQskFvoPTAOm40SmyTZhO1vIoUVk2xjVt6TLym4hMmHyOty+wuD9H3aoryIclKD9s/wl0PB64z6fcovVE/s3ln4LqYlBfT2OyZIK+PqXYI1H201kY862cjfdSkUcLu8hD11KRRQpiW6jdHsKWn5uKaonyIBGmsawBK83aXh7h2odZQFHaXh7gOCExLaoNw24sfAzw8sSFZ95lAcscOkPeqgXtmrvAH4YVJJA6jMNmcaB8xoXXYiOYqJRorFRCkAjMONzpGzegZt+BwpRyHKhToN1pRnJcFYVoqOnXT6Bm3oEmjwN0lBXizW4ua4nwcLJfj0tQMyvKzcc0why7dNBrX0rx75SYerdmGGybr2n0r+o1WHK3T4PPJGbRrTb46pKZ4/4SoddiIB3cVY19JAc6NmtCmNaG2TIaGCjlyRELYXLfr2aRRoFmj9B1kYLI50ao1ok1rQpNGgYPlcnw6Zkab1oTDlQrsLZHilz0jqCnKx51KCUw2J3YpJejUmf3aI9YHI0SKeNLulNWOs1ojOnRmNKjlaNEoI/4heCZtb0ZfRiOWaBGvsWy2duleUVsmQ2OlHIK0VJwfMaNTZ2b0pUfuKsMuRR7Oak3o0JnQoFagpUrJ+EF/rlqcmnfg7LDRl98Xd6jgWVnF2WHDWp8wlxH4XItGgX7TPI5fHfcrL1Q9qHZo15pwsLwQu4vyMT53Cwe2Ffr5KpXHQbUcu1USTFrtqC2TMeZF99+uMbOfzytyMjFl9f7pdofOjHp1IXar8hnzo0iEQ5joRPsgPOC2Hq4Z5/B4rQafT86ibcSr7Xp1IbJFQgjTUpBC03OjRoG9xVK80aPFbmW+T0Nnh434X4d2Ynl1Fa0cvIFUL0o3IxYbvravAu0jzHn5a1mOxkolft07gh2FeTiwTYbOsWm0Dhvxhe0q3FNagPOjt8dos0aBlVX49NlIW59UK3NxZEdx3M3n8aznaB6EB9zu+06dCY2VSuwrvb1uDFwjUn5G9+16dSHcyyvQzd4i+gcbgfk1VMghSkvBwqIHV/Sz6NJNB/lmoKfWq+X4fHIGp/on0VKlIqal1qDHr47jrwLWxV06s592a4rzg/6bvp5WS3Nw3ej9JmttmQwN6kKkpabgtQta7C2RMvr8RtZG8axZikQ+CA/g3kekg0cv3Jz27cM6ddNoUMvRpFFgdMaGOxR5Pp+8NDmLx2or0W+yolyag+sGKzp1Zhxcm4sHzfPYUyyFKDUVIkEqhswL2CHP9fkwXfMf9k8R95HU/mxlFfh4yBC0ZmKKl1pvnR02BI2l9bbXetNHC/4gPP4gPK7EW19y1W687jOjQTLHDjDsVQl7Zi7wL43DJJ4Xbnq9HkVFRbGuBiM6nQ5qtTrW1Yg68aRdipWVFaSmbo0/MnC73RAKhbGuRkSIt36JR+1Gk7GxMZSXl8e6GnFBPM97TMTipXEsidd6DQwMYOfOnbGuRhDx2l5A9F8abyW28jozEfot0V8acyUR+mKjbOWxFAj/0ph/acyVeOvLcLUbb/vMaOJwOJCVtb6XpVsBs9kMuXxjn+VITuVsUQwGQ6yrQGR2lvnAB57oc+nSpVhXIWJcvXo11lWIGFupX7YCMzPMhx3x8PBww263x7oKPEkEv87k4YkM/Fji4dl6JPM+88aNG7GuQkyZmJjYcB78S2MeHh4eHh4eHh4eHh4eHh4eHh4eHh4f/EvjLcSuXbtiXQUiYnHyfD8m3tm7d2+sqxAxtlIsNTU1sa4CDw3es3gSBalUGusq8CQIBQUFsa7CpsF7Ng8PDw8PDzNbac8cLsm+x45E36c9++yzz268KuwcP34czz//PE6cOIG3334bzz33HCoqKvCP//iPePfddzE5OYl7772X+Pzy8rLvWxwCgWCzq8uKwWCI6HeDTTYnTvVP4qWOQdhdbuRnpaNNa8BP229g1rGEFQCfjpmRmpKCF1r7YVhwoCArHWcG9fj38wMw31pEXoYQDtcy/jRkwsudg3AvL0MsEuLdq+N49dNB2JY8kGdnIDtdCJPNiS6dGYLUVPzh2gSOdQ5izuGCTJyOC2PT+ElrP+wuNwpp6d+/PomXO7xlidOFWFldgVjkf29+0Y1MYRoMCw78aUCPn3UNwbbkRrogDT9pvY5lYSYUuZnITvd+f3Zq3oGTfeO3y8/OQG6GkLFNqLqEuhePxJN2p6x2nOybwM+6hnx9npshimgZ0eqfaMQSLahYXvl0OK5iiZR2SZqgrv+6V4eyfDE+GtTj5Y5BzDiWsAqg++Y0CrNFmHO4cLLP61XWtfZp0xrx0/YbRI0ZFpzQzzvwXt8Efv7pkM8DnW4PPrjurQvlr52jJmSnC/Fy5yD08w4ocjJwa8mDToMdxzqHMOtYQrogFU73Mt6jeybNs9ig+pfutfT+NS44oZ934r1r43j10yEsLLohyRLBs7yMLFFov6Sjn3d4PblzALdcHuRmiHCqfwovdQ6EVedAIj3vbTbhaDdQn1T/M2mWageSpmfsTljsLpy8NoGfdQ3CtuhGuiAVP2m9julbS5DS5ncm7QZqpUCcjlatEf+3vR+C1FRkCtNwZkCPpeUVnBn0zrNLbg/KVHK8f30Sxzpv67pr1IS8DCHODOrxnxdHUJYvxplBA14OWGu82TPiN/5IbZCflY7pW06cuDruG1OZgjT8uPU6ZuyLzOOQppt4mrvjWc+bsWag+8eqKIvVB+gaDPTbldUV5KQL8UH/7TVhTroQS8sr+HCtb+nrvhn7InE8MXnxxfFpSDJFPl1M33Jiat6JM0N6rKwCnwwZ8XKnt9xMkQALi24selbQOuwdU7l5ecjN9Ora4V72jZGFJTdEaan4ydnrMCw4UZidgSWPBzMOF05dn8LLnf7zzipWMb/owp9u6PFyZ3BMJO1upsbjWbMUlHYBxH1dAwmn7wL7wm8tIxHj3IgJi55ldI6a4FlZ9dMtNV4+GTLAtbyCLp0ZKQAc7mXvvLHm/ZIsEXrHLUgXpMK4sOi3PpCJ07Gw6MIHa3O9+dYixCIhljzL+GWPFpJMEdHrSyVZOD2gxzFK12lp+EnrNYzP2f32d0x6iycPjyTheu5zH4X3Wbwf3B//L6vC8ZdEiZ9LTIkSCwmu2t1Ke+Zwidc9drSIZN9H/SC8H/7wh9i5cyd++9vf4oUXXkBlZSW++tWv4tlnn8WOHTsYn4mnA5kieQCCyebE/a9+jD6D1XetWiXBiw/tx32vnPH7+Zn3LvquB6Y5/5378XfvdvvyOfPN+/DMexeD8j315BF86Ref4PjRJjzyZlvQ/eNHm1D1/Mmg9IHpjj1ah23SbOK9Qy+dZoynWiXB6ae+AM/KKuOzp548AkFqCmObnH7qCwBAvBcPJ/AyES/anbLa8aXXzga3+RMtETtFlKTnSPdPNGKJFvEcSyS0S9IE3VtIfvXiQ/uhlorxZQavCvRIusam5h24OXvLzxOpdCR/eua9iz7/C/RTANB+72HGepx68gjrKbSh+petrieONiFLJGD1S3rZU/MOv3Rs80C4J+cm2sE/XLXLpE+m/qc0NjnUj5Ltu4iadnmWWfXKpl2SVihdDn/vYTzyZptPr6H6mb5uAEBMw3SP1AZc5ne611O6idbcwJV41nOk1wyBvgCQfYCkQaqPSVpj00W4WnrmvYu+9d6IxYa/e7c7SPP0PABg0bPiVz9SerpW33+iBX9BiPWZ9y6GrfXN1ng8a5YiUQ/CC7fv6H1BfzZQf2y6XfSs+NKQ1jnvP9GCiTl70PhhG1Ol+WKirgHyPEDp+tijdaiU5WByqN+vD+PNwyMJfxAefxAeV+KtL7loN573mZtNMscORD7+qH6eoq+vD1qtFl/5yldwxx13wGq1wu12Y2lpCWlpadGsSlzQpjX6dSQA9BmsGDTPo65M5vdzllDgu05Pc2CbDJf1c758DmyTYcA8z5jv2WEDvrKnHOdHTYz3O0bN+EatBgAgFgnQOsxcP6PNSbx3RT/nq3tgPH0GK64ZrMRn27RG9NFiod9rHzGx3uNh5xNCm5/VGiNWBknPke6faMQSLbZSLEwwaUIsEuCTIQP6DFZWv7ItutAxaubkkXSNXZma9fNE+nMkf8oSCtAxasa//dmeoGcfr9PgHMEzzw6z91Oo/u3TzxHr2qmbxox9ieiXgWXT07HPA1tDW5EgUJ+B8ykFpbGCggKiz43P3SLqhGnupucLkLXSMWrGm1+5F+dHTRCLBH79ytbPlK6tziVoLQuMaUYsC5hzLHFuA6bxM2JZ8MVG8vpozQ08wVBeS4fkAyQNDprn8Xithqgjkq8+XqtZlxe3j5gwPnsLl/VzEIsErOUaF5ywOpbweJ0GA+b5oDESmH9dmYx1fUvV4brRyrqWDdQur/HEZSN9Rz1LeTGlPzbdXjdasbDoglgkQErKKnHeaB8xwbDg5OzP141W4j6Jyeupe3RdX1l7PvBTL7y+eXgSk62+z2QjmWMHIh9/VP9e/tVXX8W3v/1tAMCOHTvwzW9+ExKJBDt27EBFRUXI56l/wY41vb29G85DKpWildBpl6dmoZHloHvc4vcz/Tr13ykp3pckFBpZjt/PdDp0Znylphy/uzzGeL9zzIx9JVK80ePNp0PHvBiwOl3oWatbqLoHXhufs6N7fJrx2fOjZtSWMX9vr3XYiP2Ee2eHDdiftxrWab/R/i2IWGp379696NSZGe916Mz42t3qDZ+oyqbn9fQPiWjEEi1qampYY/mbmjJcvRr8p1OJol2SJjSyHF/cbH4141ji7DOUxrKzs2G0OYl5svlT55gZ/62mHP9fgD/uK5GiS8fsWR06E+4vy2Y8lbaqqoq1f79yVykMCw5Wv76ntIDow/Syy8rK/NKxzwPkOrMRiXkvnrTLpE+2djs7bEBzkwatF7WM971/asysE6a5m67dv9ihIGqlc8yM/3XoDvz7uRtB9WOrL1WO1elC78QMY5rPJmb8XoxxzZM+fj6bmPFdY/J6nU4XlbkhXMLVczxplytlZWUsHuTvA2x+dXlqFneXSok6Ivnq3aVSXJoM34tbh41Q3F2OK2s/s5VL6XdfiRSfT85y0m9KClhj1chy/HTNVGe6dqO1/lmvB8fit34jMV9Eg/X2XW9vr9+zlO7o/x/KdzWyHKSmpJDXF6Nm1Jb673vY9P3ZxAzSUlJYy2QicH5KF6SiUp7u68No6ZuJaGp3s/ZpiTIWNquesYw/0mWHk188aHcr7ZnDZb177K1CqL7/6t5yXL58Oegem26j9tJ4YWEBOp0OBw4cwMLCAl599VWcOnUKCoUCP/7xj/HGG2/giSeeYM0j1n/iD0T2T8SarcAvLgRvQPcUS/Ffn40G/fy391T4rlPXUlKAr+27/cJda7H5/UynQS1H97gFB9WFeK07uNz6cjnOj5p9+Xzr4A7G+kkyRWhQKzjVPfBaWb4YwrRUxmcPVcihyM5grHtzlRLSTOZvsLRUqaBWl0OtVjPejwdird16tZyxzxvUcqSmpkZE0yQ9R7p/ohFLtGCLRSgUxkUsG9Eukya0Fhueunc7XuvWsvpVQVY66svlnHyG0hgAKKeXUFPMfDAYmz998+B29Ixbgp7tnZxFPcEzG9QKyOVyyOVyxvLY+lckEkGVm0Wsa4NajpXVVaLXBpbdoLb50rHPA+x1ZiIR/jSaiVDaDdQnW7u1VKlgt9vRrFEy9ocoLZU4t9J1x6TdzMxMolbqy+XoXZu3f/7pMOf5nirn4epS7CstYMz7ntIC5AXMq1zyDMzjzZ4RXyxq9W2v7+3thVqtjtrcwJVE0HOk1gz16gXO3kXS4J5iKT6fmMU9Zcw6Ivnq5xOz2FMSvhc/3XgHsgRpqCmW4q3eUfyP/ZXEciVr+v3ToB571tKH0m9KCnxzECnN0dpKn66Z6hyo3c3WeCJolk4i1TXcvqP3BfUs5ZuU/th0e09pAaTidGgtNqysrhLnjYYKOTIF/n+Fy+bP95QWQJnL/KkIJq+nCJyfyvKzsbQ079eH8ebhmwFnz/1Nf1j5JsJYCMtfEiR+TjElSCyhYNPuVtozh0si7LE3E7b409LSwo4/ap+nuHjxou+wu4yMDGRlZSEry/s9NblcjoWFhWhVJW5o0ihRrZL4XatWSbBDnuf77QbqZ4fb47tOT3PhpgV7ivJ9+Vy4acFOeR5jvi1VKvzu8hgOVSgY7zdUyPFGj1dcdpcHzVXM9VPmZBLv1RTl+/1mBr2u1SoJdqskxGebNEpU02Kh32usVLDe42HnCKHNWzTKiJVB0nOk+ycasUSLrRQLE0yasLs8OLJdhWqVhNWvcjJEaKiQc/JIusZqiqV+nkh/juRPDrcHDRVyfP+Pl4Oefb1bi8MEz2ypYu+nUP1bXZRPrGu9uhAF4nSiXwaWTU/HPg9sDW1FgkB9Bs6nFJTGZmZmiD5Xlp9N1AnT3E3PFyBrpaFCjqO/+xSHKhSwuzx+/crWz5SuJZnp0MhyGdNUynKRn5XOuQ2Yxk+lLNcXG8nrozU38ARDeS0dkg+QNLhDnofXe7REHZF89fUe7bq8uLFSgTJpNvYU5cPu8rCWq8zNhCQrHa93a7FTnhc0RgLz7x63sK5vqTrcqZSwrmUDtctrPHHZSN9Rz1JeTOmPTbd3KiXIzRDB7vJgdTWFOG80ViqQiRd7AAAgAElEQVSgys3k7M93KiXEfRKT11P36LquWXvebrdHrI14eHhix1bfZ7KRzLEDkY8/agfhvfbaaxAIBHjssccAAGfOnMHPf/5zpKenIycnBz/60Y+Ql5fH+Gy8HCYGRP5f+002J9pHTGgdNqK5Sol6tRyfT87gw/4pHFQXYrcqH2OzNuxSSPBmzwh2qyRoqlSg56YFZ4YMqNsmw+FKBdLT0nB+1IT2ERPu31mEu0sKcHbYgAs3LWjSKNCsUUKRkwmTzYmr+jlsL8zFuVETOnRmNKgVaNEo0G+ax/Gr42iuUqKxUuFL36o1ok1rQm2ZDA0VcuRnClGY7X/vcKUc+0tlWPIs49LUHLp0ZjRqFLi7pABvdmtRrczFkR3FfodVnR02okNn8pZfpfQdyhLYJlRdQt2LR+JJu1NWO85qjWt9LkeLRhnxD8FHq3+iEUu0iNdYIqVdkiao65cmZ3G0ToPPJ2fQrjXhYHkhdhflY3zuFhrUhVh0r/ja55BagWaNAp9PzeLD/imixgwLTiwsutCpm0bP+G0PTE0BWrXeulD+OmpZwP6yQrzVO4pKWQ6aNQqsrAKfDE7hvM6Cg2o59pdKIU4Xos3XT/6exUao/jUuOLGw6EaHzoyecQsaKxVoqJAjS5iKAnFov6Sjn3egfcQ7DzRpFDhYLkeXzoy2ESPqw6hzIIn2W27haDdQn1T/M2mWfrAb0/0ZuxN21wratUZ0jpnRWKlc++TTCPYU5+NQhcI3vzNpN1ArzRoleidn8Mcbeny5uhS7lRJ037RALcvBNcMcOnXT+OJ2FWq3yXBuxITzo2afrnUWG+q2ydA9bkH3uAXfqNXg0tQs2rUmv7VGl27ab/yR2qBeLcei24P2Ea9OmyoVuKe0AK93a7G3RMo4DgMPjIqXuTue9bwZawZ//5CjpUpF9AG6BgP99sFdxdhXUoBzoybfmvBwpRxikRDnR719S1/37S2REseTvxfLsVslwaTVjtoymU8X07ecmHO68fnkDHYpJLhu9H5DtbZMhoPqQojSUpEpFOCzCQs+7J/CF7crUFvuHWMlEjGuGebQpZtGY6UCe0ukeKNHi93KfBypUkKUlgKnZwUdo2acG6HNO7O3sF2eC2FaKi6Oz+DciCkoJpJ2N1Pj8axZikQ9CA8Ir+8C+yJwLdNvtGKbNBujlgVUFeb56ZYaLz3j01BLczA6Y8NOeS6yREK0a43oGPN6/+FKBUamF7BDnge7a9lvfdBUqcDK6irOjZp9+Tao5chOF+DdqzfxxR1FRK9/rLYSvZMzODdiRtOart/o1mJ7Ya7f/o5Jb/Hk4ZGEPwiPPwiPK/HWl1y1G6/7zGiQzLEDkY0/ai+NN0I8vXiL54Wb0+lEZmZ8TuADAwPYuXNnrKsRdeJJuxQrKytITY3qGZibxlaKxe12QygUxroaPuJRu9EkWT2LiXie95jYLO3GazvodLq4/PPgeG2veK0XsPm+OzY2hvLy8ojnGw9sZc+OZ81SJPJL43BIhL7YKMkQI0U8vjQOt4z1lkPBvzTmRqK+NKbYSnvmcIm3PXa0WV5eRlpaWuiELCSncrYo/f3hfZsnmgT+qRNP7NhKH73fSrFs5Q/yJyK8Z/EkCrE4SI4nMZmZYT6cayvAezYPDw8PDw8zW2nPHC7JvsdmOvQuXPiXxjw8PDw8PDw8PDw8PDw8PDw8PDw8PD74l8ZbCLE4fr/RUlZWFusq8Kyxd+/eWFchYlRXV8e6ChFjK/XLVqCgoCDWVYgb+LaIb1QqVayrwJMgxPM6kYcnEZBKpbGuAg8PD0/YJPM+c9euXbGuQkypqanZcB5pzz777LMbr8rmsry8DLPZDLlcDoFAENO6GAwGFBUVhf2cyebEqf5J/OH6JLblZ+PMoB5Lyys4M6jHz7qGMOdcgkycAfeyBx8PGeBwL/vuLXk8yMsQ4o83pvBSxyBmHUtYAXBxfBqSTBGy04Uw2Zzo1NtxrGsIorQUZAjScLJvAsc6BzHncEGSKULPzWlkpwuRnS4Mqteve3Uok4hxekCPlzuZy2B6prIgG9O3lvDetXG8+ukQFhY9kGSJ8HLHIJwuj68e/3lpAnMOF2TZGcjNEPryeKljEHaXG4XZGX5lbBW4aDdabTFlteNk34RXbw4XZOJ05GaIIl5ONKBiefWCdsvEEm/9Eknfnb7lxNS80+cTtiUPpFnpaNMa8NP2G0TdU21zrHMQsw4XpFnpWHQvM/pR4PiZmnfgZN+4zwMp7wnEzwPzxfhoUI+XOwaxIsokemAkMdmceP/6JF7uGID51iLE6UKsrK5ALAqOgeTjzHktoUCcjlatEf/33I2w24aeZlWURWy/eGSz1gwuQSZODxl9WlPkZODWkodRP/OLLqQLUvFCaz9m7Iu+tGeH/ef3OccSJFkizDmW8KcB77N2lxv5mSJ8NKDH/3vuhl8fTd9ywjDvxB8HpnCs06sZeUE+FhbdWPSsoHXYO6aY1gFcvIXrfETp4zefe+M+M2jw1Z16hrReIpUR7vX1st51XDTYzPUufZ0Y2L7vX5/EW72jKJGI8dGAAS93DsK25EaGIA2GBQf+NODVq93lRn5WOi6MmbGw5PHp2LbkRrogDT9pvQ79vCNs7wzsY0VOBuadbq+fdQ5gftHtN56YNLCefmVeAw9gYdHji4epPKb63lryoEtnhiA1Fe9f887ps44lpAtS4XQv471rEyHnIxLxrFkKSrsA4r6udEhrgECv8aW7ZoRtyauPVz8dgiInk/EZukZmHUtISUmB3eXBnwb0eMuntym81DGAOYcLBeJ0/OfFEYzO3PKtj969Oo7y/Gyfdhbdy8jLEOKD/im83OHVaV6mCB8OeH8OXFutrK4gO12IU/2TeLljEHPOJRRkpTPOLXQSQW+RIlzPfe6j8P7M/Qf3h/+yJtwy1lsORTj9HY34IwGXmBIlFhJctRuv+8xoQMX+i+6RpIsduB3/K58Obzh+/iC8MFnP4QAmmxP3v/ox+gxWDH/vYTzyZhtefGg/nnnvIvoMVl+6apUEJ442QTdr97t35pv3Maal8jj15BF86Ref+O5TZQSmP360CY+82YbTT30BipxMv3qFKoP0TIYgFX/3bjdjWQAY63HqiRZ86bWzQdepMrYSobRLb0+KzWiLKaudsc1PPdGScKeI8rFEh0j5rsnmxIjFxugTLz60H/e9csb3M133pLY5cbQJorRUFEvExPFD8phTTx5BcV6WX93C9cBIQqr/sUfrsC1fzBhDoI+Hyiuwjbm0zdS8w29OYUoTz2zGmoGpfc9/536frtn0c98rZ3xpSXP/sUfrcOil04zPUj+feqIFN+fsjGPp2KN1AIBFzwrue+UMcR3A5i1c5yO6Pkhxn37qC5gc6g9aLxHHbMA6JtT1jYzHeD7kabPWu1zandSXTNqkfIik93C8M9TYIuUfmG+4/crV/wPLY6svU7tov/cwvsw0FsPw03jWLEUiHoTHRQOnn/oCADCOH9I4IPkWNZZIZb3/RAvK/5/jPu2VS8V++YfSaeDPXNMHajER9BYp+IPw+IPwuJKIB+HF8z5zs0nm2IHIx89/niIKtGmN6DNY8XidBudHTRCLBBgwz/t1IgD0Gaw4P2pGClZ99w5skxHTDprnkSUU4OywAVlC778wUWUwpe8YNWN/qQztIya/enEpg+mZhUUXLuvnGJ/7dGwagybmPM9qjdhfKgu6TpWRTFDtSWcz2uKTYeZyzmqNES0nGvCxJBZ9+jmiTwya51FXJvP9TNc9qW3Oj5oxPuc98Ihp/NSWycjtOuzfruvxwEhCGv9GmxNnCfcCfTxUXvQ25to2nwwZOLVfMhHYvge2yXy6DqWfx+s0uKyfY537r+jnfP1Ef5Y+Pq4a5jA0vUB83rjghNWxhP/9Z3uI6wA2b+E6H1H6YIu7fcTE+CkEUhn0dQyFWCQgajEZ1wsbgandxSIBWodDe2CgNsUiAVFflGbD8U62scWW/0Y1wNX/A8sj1be2TBbULo/XaXCONBaT2E/jBS4auGawEscP0zhg860r+jk8XqchltWmNeLf/mwP+gxWpKas4vyomfN+kD5XUPMO1/S8Fnl4tibJsM8kkcyxA5GPn39pHAVatd6F5r4SKbp009DIcnBlivm0884xM1JTUnw/s6W9PDULjSwHHTozNLIcvzJIee8rkaJ1bXFA1YtLGUzPzDqWiM+dHzXDYHMy3uvQeesRSGsSLlqo9gy6HuG26NSZGa93EK7HM3wsicWE1RHSXyjouie1TeeYGa7lFW96hvGzr0TK0q7+6dfjgZGENP6tThdr/HQfD5UXvY25tg3X9ksmAtuXrplQ+tlXIsWVtX7gOhaYrhkWnLhw00J83up0wep0Yf82GXEdwOYtXOcjSh9s8bQOGxl/84VUBn0dQ6GR5RC1mIzrhY3A1O7e9SN3D6Q/R9IXPS1X72QbW2z5b1QD4fg/vTxSfZnW32xr8mT203iBiwbG5+zE8cPUt2y+RZ8PmOjQmVG79jI3JSUFXbR8whmjocoJTM9rkYdna5IM+0wSyRw7EPn4+ZfGUaBZowAA9E7O4qC6EFqLDTXFzAcp1JfLsUL7Yghb2j3FUmgtNjSo5dBabH5lkPLunZxFc5XSr15cymB6RpqVTnzuUIUcKsKfIzaovfUIhCojmaDaM+h6hNuiXi1nvN5AuB7P8LEkFqWSrJD+QkHXPalt6svlEKV5py6m8dM7OcvSrv7p1+OBkYQ0/iWZItb46T4eKi96G3NtG67tl0wEti9dM6H00zs5i5q1fuA6FpiuqXIzcWCbLPBRX1pJpgiSTBEu3rQQ1wFs3sJ1PqL0wRZPc5USS0tLnMugr2MotBYbUYvJuF7YCEzt7l0/cvdA+nMkfdHTcvVOtrHFlv9GNRCO/9PLI9WXaf3NtiZPZj+NF7hooCxfTBw/TH3L5lv0+YCJBrUcPePefxhcXV3FQVo+4YzRUOUEpue1yMOzNUmGfSaJZI4diHz8Yb00/u1vf7uuQpKdJo0S1SoJXu/W4lCFAnaXBzvleahWSfzSVaskOFQhxypSfPcu3LQQ0+6Q58Hh9qClSgWH2wMAvjKY0jdUyHFxwoLGSoVfvbiUwfRMboYIe4ryGZ+7t7wQOxTMebZolLg4YQm6TpWRTFDtSWcz2uJIFXM5LZrE23jzsSQW1UX5RJ/YIc9D99oGKVD3pLY5VCFHWb73z96Zxk/PuIXcrgEvGdbjgZGENP6VOZloIdwL9PFQedHbmGvbHNmu4tR+yURg+164afHpOpR+Xu/WYk9RPuvcX1OU7+sn+rP08XGXKh/bC3OJzytzMyHJSse//PEycR3A5i1c5yNKH2xxN1YqYLfbOZdBX8dQ2F0eohaTcb2wEZja3e7yoLkqtAcGatPu8hD1RWk2HO9kG1ts+W9UA1z9P7A8Un17xi1B7fJ6txaHSWMxif00XuCigd0qCXH8MI0DNt+qKcrH691aYllNGiW+/8fLqFZJsLKagkMVcs77QfpcQc07XNPzWuTh2Zokwz6TRDLHDkQ+/rAOwvvzP/9zfPDBB+sqaCMk+kF4gPewhfYRE0YsNnxtXwUujk+jQpaLa4Y5dOmm0VAhR5NGiQxBCrrGLCiRiHHNMIdO3TS+uF2Fum0ydI5No3XYiINqOXarJJi02lFbJvMdzPHJ4BTO6yx45K4y7FLk4azWhA6dCQ1qOQ5XKDA0vYC7ivKDDk9qHzHh0uQsjtZp8PnEDNpHTDioLsRuVb5fGUzP/M97q+BeXkWHzoyece+LjIYKOX792SjuKS0IqIcCLVVKFOdl+fJoHTaiuUqJxkrFljsED+Cm3Wi1xZTVjrNaIzp0ZjSo5WjRKBP2Q/B8LJtPJH13+pYTc043Oka9PtGkUeBQhQKfT87gw/4pou792qZcjkaNEulpqVDkBvtR4PiZmnfg7LAxyHsCCfLAyRm0a9k9MJKYbE60ao1o05pQWyZDQ4Uc+ZlCFGYHxkD2caa8DmyToaVKhUtTM/jTDX3YbRNYdkuVKiEOwQM2b80wZp5Dj37ep7VmjQIrqwjST5vWhMOVcuwrKcAve0awt0TqS9sz7j+/N6jlOFTp/Quj7psWtGtNaK5Sor68EBduWvDRkN6vj6ZvOTG/6EbPuAXnRrx/ynxQXQhRWioyhQJ8NmHBh/1TtHVAeN7CdT6i9HHNOIdv1GpwaWrWV3fqGdJ6iVRGuNfXSzwf8rSZ6136OjGwfVu1RlyemsNjtZW4NDmLcyMmNGoU2FdSgCXPMi5NzaJLN+3VplqOfqMVsuwMXDNY0aUzo1GjwN0lBXizW4tdSknQGpVL3eh93KxRwL28ivYRE9pHgscTkwbWe1A1ffz2TsygfcSIxkol9pV642Eqj6m+K6vAVf0cthfm4vyoGR06M+rVhdhfWgCxSIi2EdpYDNNP41mzFIl4EB5AXgMEes3tPjegUaPE3SUFePfKTTxas43xGbpGDqrlqCnKR3a6AD3jFlyZmvPTW71ajmaNEif6xlGYneFbH10zWPH1eyrQtubjX6xSoa68EB2jZrSNGNFUqcRBtRxdY2a0aU1Ba6sHdxXj7pICnB81oV1rQr1ajiaNAt03p/HRkIE4/yeC3iIFfxDe5h6Etx4iceAcfxDebeJ1nxkNkjl2ILLxh/XS+IknnoDL5UJNTY2fOL/zne+sq3CubIWXxtFgYGAAO3fujHU1GDGbzZDLk+PPAejEk3YpVlZWkJq6Nb5Ms7S0FDftulGWl5eRlpYW62r4iEftRpOxsTGUl5fHuhpxQaK1xWZpN17nf71ej6KiolhXI4h4ba94rRew+b4bz+vEjRLP/bpREiG2RH1pHC46nQ5qtTrW1dhUEkFvkYJ/acy/NOZKor40pthK+/9wcTgcyMpKjF982QzcbjeEQuGG8ghLOXv27EFtbW1SvkBIBJj+FDRemJiYiHUVeNa4dOlSrKsQMagNylbg8uXLsa4CD42ZmZlYVyFu4NsivjEYDLGuAk+CEM/rRB6eRGB2lvlwOR4eHp54Zivt/8Plxo0bsa5CTLl69eqG8xCEkzjwN4pXV1cxOTm54Urw8PDw8PDw8PDw8PDw8PDw8PDw8PDEB2G9NP71r3+NF198EU6n03etpKQEZ86ciXjFeMKnoKAg1lUgIhYnz/dj4p29e/fGugoRg4+Fh4cn2SkrK4t1FXgShHheJ24Ufp3JEw0qKipiXQUeHh6esEnmfWYyxw4Au3bt2nAeac8+++yzXBM//fTT+N3vfoeZmRkcO3YMO3fuhMvlwv3338/63PHjx/H888/jxIkTePvtt/Hcc8/h0KFD+Kd/+ie88847+OCDD9DY2IjMTObDMpaXl33fxBUIwnrPHXEMBoPv24FTVjtO9k3gWOcg5hwuyMTpyM0Q+dKabE6c6p/ESx2DsLvcKMzOQHa60O/6rGMJ6YJUON3LeO+af14doyb8n7YbmHMsQZIpQu+4BWmpKfhDQLrzIyb8n7Z+rIqyIMvOQG7G7W+WTM078NHAFJaWV3BmUI+fdQ356rLk8WBy3on3ro3j1U+HsLDoRkoK4HB7YLYt4b1rE3j10yHMOpaQkpIC+5IHfxzQ4+WOQV+dPh7U49/PD7DGtwJgeMEDqdh7P5mIJ+1Sev1Z1xCjXhMJPpbNZ7O1OzXvwMm+cRzrHITV6YJMnAGLfREn+rx+JEhNRaYwzeexsw4XpFnpMCw40DVmRna6EG1aA37afgN2lxuKnAzcWvLg7LABDvdykN8FehN13bbkwYmr47c9dc1DLRYLkJXrl54qg8nXSZDmAXo7vHdtHD/rHPL55cXxacjEIsw5XPhoQM/o30xlmmxOvH99Ei93DOCWywNJpsg7r3T4z1Gh5q5A6PNeIrBR7U7fcmKKNjfaljyQZ2fAuWCFQqEI2acAoJ934OMhAxY9y/hoUI9XuoZgW3IjXZCGn7Reh37egRUAn46ZkZqSghda+33XLk1aIBKk4cP+KbzcOQDzrUVkpwvhdHnw3vUJ/KzTq4P8TBHOj5iwKkz36WPJ44FYJMD7a+nompJkinz1pI8/uu7ZYqPu/bpXh7J8MT4a1OOtXh3KJGKcHpjCS50DmHO4IMkUoefmNEqVckjE3A+s49KukSCe9bwZvmuyOX2+eNHkIPoivV9f7hj00+uMfdGXPlA7kkwRPh0zY2V1FS+09vulZaoL1ceitBRkCNL8vShgDRsqLiov25IbJUoFDAsO/GlAj99eGkN5vhinB/U+P8zNEOGD/kkc6yTHFtheZwa9eZVKsnBm0ICXOwaxsOiGUJCKF1qvw2xbwiqACzenkSUU4MMbU762y8sQ4Y8DU3ipYwDu5VXkpgvwxxtT69J3PGuWgtIugLiva7jQ59YFNyAWCeBeXkVOwPgplWTh9IAexzoHYFvyQJqVjjatAW/2jNDu3d4bdY6asLS8gitTsxAJ0nCibxyvdA1hYckNUVqq37zQfXMagtQU6BccODdi8lsXUPl135yGOF2A6VuLONnnP3+F46V0vdHH2crqCrLThTjV720L861FZIoEWFh0w7OyArEo8fZ44Xrucx+F92feP7i/Juw6hVvGesuhCMdf1lO3cNlILBRcYopGX24mXLUbr/vMaJDMsQO34/9F98iG4w/rILy//uu/xjvvvIOf//zn0Gg0aGlpwSOPPILjx49zLvCHP/whdu7ciVOnTuGZZ57Bnj17cPr0acjlcuK/AsTTgUzUh9WnrHZ86bWz6DNYffeqVRKceqIFxRIxTDYn7n/14+D7Tx7Bl37xid917fcexpffbAtKe/xoE6qeP+n7+f0nWvAXDGUGpjv15BEU52Vhat6BL/3iE7z40H48897FoOdOHG1iLJd0/dijdTj00mm/ay8+tB/3vXKGNT4q3TPvXcTpp76woVPPE4140W4ovSYSfCzRYTO1S3kTm8cMf+9hPELwJ92sHc+8d9HPf85/53783bvdRL8jeROTr5168gjcS0t4+FcdfumpMgLzIPkaaR6g0pPa4cWH9kMtFePLb7YR4wksM7CsM9+8j7kdnmgJW3OJdijORrRrsjkxYrEx9vPJ/96AzMwM1j4FEHLupXRLnxvp144fbWLUPpNWA9OS+p0+B3tWVhl1R9LG6ae+AAC+uOllkMqj6sV1zg81ViJJPOs50r5LtSsXX2TTDqVNkkao/qanDeVRJI+n1rBc4iKNkcBYuMRG1zm9vbg8SxqzVBpSHlz1Hc+apdiqB+GxaW1bvtg3Hth0AoDVl0Pph5722KN1WPSssObHNFeE46WU3riuK449WgcAqJTlJNwejz8Ijz8IjyuJeBBePO8zN5tkjh2IfPxhHYSXmZmJCxcuYMeOHWhtbcX09DQWFhY4P9/X1wetVouHHnoIs7OzaG1txd/+7d/i8uXLuOuuu8KufCz5ZNjo1wkA0Gew4qzWCABo0xLuDxuQJbz9r0GP12lwbtTEmLZj1Ixv1GoAALVlMrQSyqSn85bhrcMnQwaIRQIMmOeDnhOLBIzlkq73Gay4op9DXZnM79qged53TSwS4JMhA+Ozg+Z5ZAkFaB8xgSf6hNJrIsHHkviQfILymMfrNDhP8KHzo2akYBVZQoHPfw5sk+Gyfo7od0zeG1gm/dpV/Ry6Jmb98qHKYMqb5GukeYBKT2qH1JRVnBs1scYTWCa9rAPbZOR20BoZ22Gra44rffo5Yj9fmJhDHwcNtA4bWfuO0i19bqSuiUUCdOrMnOZgsUjgN07Y+p0q55rByriWEIsERD9qHzH54qaXwVZex6gZ+0tlnOf8UGOFZ320adm1SPliKO3UlclQWyYjaoTqb7q22TyKzeOpNWyouEhj5PE6DbSWBc7jgqrvNYM1qL24Ptsxamb01UHzPB6v03D2cZ74g01rVw1z2F8qY9WJ1bnkp0f6vUHzPGrLZMSxwDRXGG1O1vyyhALGdc16tMZ1XXFFPwfjgjPoHg8PT2xJ1n0mkNyxA5GPP6y/ffvXf/1XvPPOO/jnf/5n/P73v8cDDzyA7373u5yff/XVV/Htb38b8/PzGB4exve//308/fTT+Jd/+RecOHECf/VXf8X6PPUv2LHG6XSiU2dmvNehM+O/VZegldAhHTozNLIcdI9bAAD7SqTo0k0zpu0cM2NfiRRv9HjTkcqkp/OWYcJf3alC51pZV6aCT/rVyHIYyyVdB4DLU7N+dQ+8ppHlEOtIpTs7bMD+vNWYnz4c7d+CiKV29+7dy6rXr92tTpgTVflYEl+7ZWVlIX0ilC9+da8aGlmOL31KCnBl7b+Z/A4I9t7AMunXDQsO9IzP+KVjy5vJ16RSKXEeODtswAMVZE9PSUlBl26ac5nesm5vCNfTDh06M/6ySgatVsv4XG9vL+P1cIh37UqlUkxYPcS2ax81Y38Z8zdhqf7Izs5Gh87E2gd0zVH/TddyqPFB9V3gfM2lzPE5O7rHmed+Urmtw0Zf3PQy2Mqj1iVc5vxQY2Uz1gzh6jnetcsE1a5c/IDyUCbovhxqHXqJptFgj7rdx2we36Ez4f6ybExMTLDGRarrvhIpeidu+zfXsTg+d8u3luWicfqznWPk+WVfiRSfT3KfO0is14Nj8Vu/kZgv4oHAuZXO5alZpAtSsa9ECtfyMlEnVqfLT4+BebCNBaa5IlR+9PmErsfWYWNYXqrT6fzGWaixUFcmg3XRBZ1OFzG/jqZ2N2ufFq2xsNFy4mnMRqoukY4pnPziQbtbac8cLqFi/+recly+fDnKtYoeu3btYo3/0V0q3LhxI+gem27DemlcVVWF733ve5ifn8d//Md/hPMoFhYWoNPpcODAASwuLkIsFuPAgQMAgObmZnR2doZ8aRzrP/EHvIaRmZmJerUcr3UHb64b1HKkp6ejWaPELy4w3/9Z59Dt/CZnUa8uZMyrvlyO86NmX7oGQpn0dN4yFL46vtBFEwAAACAASURBVPrpEL62L/jQBq3Fhv95b1VQfqTrALCnWIr/+myUeE1rseGpe7ezPvt04x1Qq8uhVquD0mxlYq1dNr2mpqYm1J8S8rFEl83Qbr16gdUnMoRprL64sroKrcWGv72nAv/12ShSUoCv7avAW72jjH4HBHtvYJl0VLlZOFyRil9cGPZd01psxLxbqlSMvtZsBeM80FKlQm5uLrH/V1dXcVBdiJ9/Osy5TG9ZwyHrSmqHBrUceXl5jJpLhD+NZmI92h1x6eH0rDDea6yQQ5adwXiP6g8AaFDb8LOuQWIf0DVH/Tddy988uJ1RN4FaDZyv2fqdevZ/7K+EMC01KH+2+bu5SglppiioDLbyqHXJfTuYx0ZQGSxjhcvz4ZAIeo6U7zZbgX8/PxDSDygPZYLuy6HWoXeX3NYos0d5n2Vb+zaoFZDL5ZDL5axxkcZI7+Qs7iktCGtcAEBZfjayRAK/9uL6bH25HK90Mc8vvZOz2FMsZcyDq74TQbN0EqmuoaDPrXT2FEuhys3E8asTrDqRZIqwj6bHwDzYxgLTXPFwdSlrfvT5xC+OKiVnL+3t7YVarfYbZ6HGgiRThNxMEdRqVULu8Th77m/6w8p3XWMhzDLWXc4aYfnLOuoWLpHwD04xRaMvowCbdhNhn7lZsMWelpa2pWMH2OPPysoKO/6wPk9x48YNPPDAA3jooYdgMplw33334fr165yevXjxIu69914AQEZGBsrLy/HZZ5/57lVVVYVV8VhzpEqJapXE71q1SoIWjRIA0KQh3K9SweH2+K693q3F4QoFY9qGCjne6PF2ds+4Bc2EMunpvGV463Bkuwp2lwc75XlBz9ldHsZySderVRLUFOX7/at1tUqCHfI83zW7y4Mj21WMz+6Q58Hh9qCxUgGe6BNKr4kEH0viQ/IJymNe79biEMGHDlXIsYoUONwen/9cuGnBnqJ8ot8xeW9gmfRrdxXl42Cp1C8fqgymvEm+RpoHqPSkdlhZTcHhCgVrPIFl0su6cNNCbgeNkrEdtrrmuFJdlE/s5wOl+ajmoIHmKiVr31G6pc+N1DW7y4N6tZzTHGx3efzGCVu/U+XsVkkY1xJ2l4foR42VCl/c9DLYymuokOPihIXznB9qrPCsjyYNuxYpXwylne5xC3rGLUSNUP1N1zabR7F5PLWGDRUXaYy83q2FRpbLeVxQ9d2tkgS1F9dnGyrkjL66Q56H17u1nH2cJ/5g09pdqnxcnLCw6kSSme6nR/q9HfI89IxbiGOBaa5Q5mSy5udwexjXNevRGtd1RU1RPpS5mUH3eHh4Ykuy7jOB5I4diHz8YR2E97WvfQ3PPfcc/v7v/x4nT55EZ2cnfvrTn+L3v/99yGdfe+01CAQCPPbYYwCAgYEB/PCHP8Ty8jJKSkrwox/9CCIR82l+8XKYGOD/L1dTVjvOao3o0JnRoJajRaP0+7C0yeZE+4gJrcNGNFcp0VipgCIn0+/6QbUc+0ulEKcL0ebLS4EWjQJX9XN47/okGtRyHKqQY8RiQ6UsB+dGTX7prujn8N71CW8dqlR+B4hMzTtwYWwaFbIcXDPMoUs37auLIBWYcbjRMWpGz7h3c1etkiA7XQDX8iq6dGZ037TgoLoQNUVSZKcL0HPTgvYRE+rX6vTZhAUfD7HHt1slwZhlHgcrlAl3QMJGiSfthtJrIsHHsvlstnan5h04O2xEh86EQ2oFmquUWPIso01rQs+4BV+uLsVupeR225TL0ahRwuFyY9hiw90lBfh8cgYf9k+huUqJZo0CK6vef2ArkYhxzWBFl85M9Cbq+soq8PGQAR06k9dTq5QozsvC1atXoVBX+aWnymDydRKkeYDeDq3D3hjr1YXYrcrHpNWOg+UyLLpXcOHmNCpkuUH+TTp4r1VrRJvWhBaNAgfVcrRpTTivM/lpK1zNJdpvuW1Uu9O3nJhz3p4bmzQKNGuUMOmGcdddd4XsUwDQzzvQM27BNmk2runn0DU2jUaNAneXFODNbi12KfOwW5WPsVkbdikk+GXPiO+acd6BXSoJunTTaB8xobZMhkMVcmQK0tA2YkLnmq7rywtxRT8HVV6WTx/3bVdhX2kBOnRmdIyafXPwpNWO2jKZ32F91Pij654tNurepclZHK3T4PPJGVyZmsPROg16J2bQPmJEvVqOwxUKDE0voCo/E+XyfM7tzqVdI0E863kzfNdkc9J8MdhHmPq1XWvy0+veEqkvvb92vP3db7KioiAHv+wZ8UvLVBeqjx+5qwy7FHk4qzUF6ZBrXFRejRoF9pUUYMmzjEtTc+g3WvH4AQ0+m5hBm9aEJo0CB8vl6NSZ0D5iRhMhNqb2um6cx9HaSlyamkW71oTDlQrsLZHilz0jqCnKx51KCXSzNuwtLkDXmNnXdgfL5egaM6NNa8IDO4uwv7QAnWPT69J3PGuWYqsehAf4z621ZTLUqwuRmyGCKtd//DxWW4neyRmcW9PYoQoFPp+cQZdu2nfv/IgZB9fm+lGLDRWyHJhtTtyhkKBVa8CFMe9+bG+JFG/2jODOtXlhfO4W7lRKsOhexqB5wW9fR+U3PncLd6+Ng3Mja/NXpXd9FY6X0vVGH2cP7irG3SUFOD9q8rXFQXUhRGmpyEkXoDA78fZ4/EF4/EF4XEnEg/CA+N1nRoNkjh2IbPxhvTR+5JFHcPz4cTz88MM4efIkAOAv//Iv8Yc//GFdhXMlnl68xfPCbWxsDOXl5bGuBiMDAwPYuXNnrKsRdeJJuxQrKytITQ3rjwziFj6WzSMetRtN4tnro02itcVmaTde28FsNrP+KX+siNf2itd6AZvvu/G8TtwoW3mdGc+apdjKL43pUN/o3sokgt4iBf/SmH9pzJVEfWlMEW/7zGiyvLyMtLS0WFcjZjgcDmRlcfsHeRJhKUcikWBgYAApKSkAgD/84Q/Iy8vbUAV4IsfMDPPBCPGA3W6PdRV41thKH73nY+Hh4Ul2SAeG8fAEEs/rxI3CrzN5ooFOp4t1FXh4eHjCJpn3mVv50DsuMB16Fy5hHYT39NNP47nnnsPw8DDuuecebNu2DT/5yU82XAkeHh4eHh4eHh4eHh4eHh4ens3F7zdto3DAHQ8PT+IS1kvjF154AQsLC/jWt76FRx55BCqVarPqxbMOCgoKYl0FImJx8nw/Jt7Zu3dvrKsQMbZSLDU1NbGuAg8PI7x/xzf8WoyHK1t5LPPjgCcabOUxxMPDs3XZSnvmcEn2PfauXbs2nEdYL41/9atfQa/X4+TJk3jqqadQVFSEhx9+GEeOHIFQKNxwZRINk82JNq0RrVoTmjUKNGmUvkNF6NdbqpRweVbwybARnToz6tVyHNmuQiqAM0MGv2uitBScHfY++0h1Ke5USnzP3bddhXvLC9GqNeH8qAkNFd4PWn86No0zQwbUq+UQSuy4brTieN8EHryjCPtKZegYNaFVa0JjpQJ3l0jxRrcWdyolOFKlxOWpWZzTmfF4bRU+m5hB+6gR9eXeupAOI5mad+CTgHozpaW3w6FyGfJtzqQ7CC+emLLa/TVYlbgfg+dj2XoYFpxYWHShY9SMixMWNFZ6Dwr6bMKCD2/o/TyWhMnmRPfNaWwvzEWWSIhWrRFdDD5F96YgX2TxPno5TN6/HowLTix5lpGSkhJUX0FKCs6PmrBTkQdhWio6ddShpUq0MBxsE1ivhgoFehnaj4uHJ7t/M/VxOOsck82Js8NGtI8Y1w4LkiNHJESfYQ6K3Ez0rR2OR+WdmgLf3P/gHUW4p1SG9hGT7/nDFQqIRQK0jZhwRT+Ho7WV+GxiBudHTThcqUSdyIYsYRo6dWacGTLgK3u2YYc8D58MG3HdaMU36jT4fHIW7SPsmuWqbWqslUtzcM1gxblRbz0bKhTIzxSyHogUyfHDE5pQY3k9/UH1f2l+dpCWufYlvdyD5YWoLsrH7K1F7FDk4ezanHhQLUezRgmxKBUF4tv5Tt9yYt7pRve4BedHTb4x5rQswOlehn7egTuVEt9BolQd68sLcbhSgUHzPPaWSLGyCr9xyqRfpljXM2+Q8nrwjiLsKynwHlYzyr6u5tl8mPZwK6sIez6kr+28B5Ur0X3TgtODenxxhwoHthWuHSh5+/6Fm9P4aNAQpAF6XtResENnhvnWIr5cXYazIXyemvO7xsw4XKnEPpp2mzRK/Lp3FJUF2Yzjl+uej4cnUkTsu8n8b08DSO59ZjLHDkQ2/rAOwqPQ6/X44IMP8Pbbb0OlUsFiseAf/uEfcN99962rEqGIpwOZqA+rm2xO3P/qx+gzWH33qlUSnHryCL70i0/8rp//zv34u3e7g9Iee7QOh146Tbw2/L2H8cibbb7nznzzPjzz3sWgfF58aD/ue+WM7+fjR5tQ9fzJkOmptGOzdsZ0p548ErQwmJp3BMXHlJbUPqef+kJSbQ7jRbtTVju+9NrZ4H57oiXhzJOPJTpEU7tT8w7cnL3F6JOB/kbyEMpzXnxoP9RSMb5M807q2VNPHoEgNYXRm+i+eOrJIzBqbzAeohFJb6PiVuVmMtb3xNEm6GbtyBCkMrYNvUxSvQLb79QTLcyao3l4ovv3RrVLiv/kf29AuTx/3c8fe7QOytxMv3mdfo+a+0lzN5WG7f6iZwX3vXIGY//6CP5irZ9J6QP7k2u/08caqR6VshxMDvUHjaF40FY8H/IUad8N1d7r6Y9Q/c+lL0nlvv9Ei0+39OsnjjYhSyTw1XnEYiOuqwH4xhmpjsePNsG44CTmUSnL8WsfUj6B8wbbyzRSXqTxSc8vnjVLsRUOwmPSJWkPx6Zz0tqO0gvX/dypJ48Aq6t+edGf5eLzpDk/cC9Y9fxJX1yUd3Pd8yUyyXwQXjQOtdtKJOJBePG8z9xskjl2IPLxh3UQ3jvvvIOvf/3rOHr0KJaXl/Gb3/wGb731Fn71q1/hBz/4QdiFJzJtWqNfJwBAn8GKs8MGZAlv/wL3gW0yXNbPMaa9op9DXZmM8drjdRqcHzX5njuwTYYB8zxjPoPmeV8+fQYrOkbN+Lc/2xMyfZ/BigHTPHQzNkIsxqC4PxkycEpLap/2EVNQnjybzyfDBL1qg/s43uFj2XpcmZol+uTY7C0/fyN5SJvWCLFIgJSUVZyjeSc9r7PDRtycvRXSF88OG4mf+4mkt/Xp57C0vEysb8eoGXkZAmLb0Msk1Ys+P4hFArLmaB6e7P5Nir9rnNshYqTnr+jnMGCa91sj0O/VlclwYJsMWssC8fnHazXEuX3AvACrYwlv/s29aF3rZ7a1Q2B/cu13aqyx1bPPYGX8M+5k11a0CdXe6+kPqv+56oprvWrLZD7dBuZ5ftSMm3Peg+769HO4ZrQStWdccGLANI/aUrL2O0bNcC+vsOqXS6yB80aomAPzYhufofLjiTyBumTbw7HpnDTPDprn8Xgd2cMD93PtI0Y/PdL18r8f3MPJ589qjYxzDl27HaNmfKNW44uL8m6uez4eMml//19h/4+HJ1Ik8z4zmWMHIh9/WC+NL168iO9+97s4ffo0vvWtb0GpVAIAFApF0r00btUyLxY6dGZoZDm+nzWyHFyZmmVMe3lq1i8t/dq+Eim6dNPryqdzzIzaMhmn9EabExcnLIRYgmPs1Jk5pSW1Tyu/0IgJ5H5jvh7P8LFsPYw2J9GvesYtfv5G8pBWrQkaWQ5SU1L8vJNOh84Ep3uZ8R7dFzt0JmRlMf8WTSS9zbDgYK/vmBlZQgGxbehlkupFj0sjy+Hk4cnu36T4zxH6ievzl6dmYbQ5g+Z96p5GlgONLAe9E8wvpy9PzeLuUinrWLE6XdhXKvP1M9vaIbA/ufY7NdbY6jkxZ2f8zZdk11a0CdXe6+kPqv+56oprvfaVSIn+1DlmhtPlAQBMWB2s2rM6XTDanKxjpXOMPMdS+qXqyXX9zbRmpsOUF1veofLjiTyBulyvzkk6vjw1i30lZF0G7ufOjZhhXHAy1qe2jJvPB+5LmcrqHDNjX4nUFxfl3Vz3fDw8PPFJMu8zkzl2IPLxh/XS+Mc//jHq6uoY791///3rqkCi0qxRMF5vUMuhtdh8P2stNtQUSxnT7imW+qWlX+udnMVBdeG68qkvl6Nn3MIpvTInE/tLZYzpGtTBMdar5ZzSktqnuUrJeJ1ncyH3G/P1eIaPZeuhzMkk+lVtmczP30ge0qxRQGuxYWV11c876TSoFcgUpjHeo/tig1oBh8NBLIfx+jq8TZWbxV7fcjkcbg+xbehlkupFj0trsXHy8GT3b1L8hwn9xPX5PcVSKHMyg+Z96p7WYoPWYsO+Uubfct9TLMXnE7OsY0WSKULvhMXXz2xrh8D+5Nrv1Fhjq2dpvhhLS0vBeSW5tqJNqPZeT39Q/c9VV1zr1Ts5S/Sn+nI5MkXe35YslWSxak+SKYIyJ5N1rNSXk+dYSr9UPbmuv5nWzHSY8mLLO1R+PJEnUJfr1TlJx3uKpeidJOsycD93uFIOZe7tT2DQ69Mzzs3nA/elTGXVl8vROznri4vybq57Ph4envgkmfeZyRw7EPn4w3ppzHObJo0S1SqJ37VqlQQtVSo43B7ftQs3LdhTlM+YtqYoH93jFsZrr3drcahC4Xvuwk0LdsrzGPPZIc/z5VOtkqChQo7v//FyyPTVKgl2KvKgLsghxBK8IDqyXcUpLal9Giv5hUYsOFJF0Ksm8TbqfCxbj5piKdEny6XZfv5G8pAmjRJ2lwerqyk4TPNOel4tVUpsk2aH9MWWKiVmZph/ky2S3lZdlI/0tDRifRsq5Jhf9BDbhl4mqV70+cHu8pA1R/PwZPdvUvwHy5hfVHF9vqYoHzsVeX5rBPq97nELLty0QCPLJT7/eo+WOLfvlOdCkpWOo29/iua1fmZbOwT2J9d+p8YaWz2rVRLY7XbObZMs2oo2odp7Pf1B9T9XXXGtV8+4xafbwDwPVcixbe1FbnVRPnYrJUTtKXMzsVORh54JsvYbKuQQpqWy6pdLrIHzRqiYA/NiG5+h8uOJPIG6ZNvDsemcNM/ukOfh9W6yhwfu5xorlX56pOvlXz68zMnnWzRKxjmHrt2GCjne6NH64qK8m+uejyf28J/B4GEimfeZyRw7EPn413UQXrSJl8PEAP/DKEw2J9pHTGgdNqK5SonGSoXv4Az69WaNAi7PivdkZN8puSqkAvh42OB3TZSWglat99lH7irDLkWe77kvbveetts2YsK5URMOVyjQVKnAhZsWfDSk9+ahUaLfNI/jV8fx4K5i3F1SgE6dGa3DRjRWKrC3RIo3erTYrfSK5op+DudGTfhGbRV6J2fQPmJEvdp7WjDpkIOpecfaib8mNLCkpbfDIbUMR3YUJ8QhSpEknrQ7ZbX7a1CTuCeI8rFsPtHWrmHBiYVFFzp10+gZt6BJo8DhCgV6J2fwYf+Un8eSMNmc6Bm3oEqWgyyREO1aIzrGbvsr/aA3ypsaNQrsLaZ8Md/nZ2wHD5G8fz0YF5xY8iwjJSUlqL6ClBR06EzYIc+DMC3Vr22aGU45D6xXvVqOzxnaj4uHJ7J/R0K7TH1s0g3jrrvu4vx8q9aINq0JtWUy1KsLkS0S4ppxDvKcTFwzWNGlM/vyTk2Bb+5/cFcx9pUU4Nyoyff84Uo5xEIB2kdMuKKfw2O1leidnMG5ETOaKhXYXyZDljANXWPT+GhIj7+pKcd2eS7Oao24ZrTiG7UaXJqcRfuIiVWzXLVNjbVt+dm4bvR+B7O2TIaGCjnyM4UozM4kjqFIjp/1EM+Him2G74Yay+vpD6r/SyTiIC1z7Ut6uQfVcuxWSTBnX8J2eS5aqTmxXI5GjRJiUSoKxLfznb7lxPyiGz3jFpwb8X6S7aC6EMLUFDjdyzAsOLFL4X0ppi7IwTXDHDp102hQy3GoQo6h6QXsKc7Hyir8xildv2yxkuYNLjEH5vXgrmLcXSxFq9aE8wRPjmfNUmyFg/CA4PHQrFFgZRVhz4f0td0htQLNGgW6xy04PajH/TuKUFcm8/W57/5NC04P6YM0QM+L2gt2jk3DbHPi4eoytIbweWrO79SZ0FSp9NsLNlYq8VbvKCplOb70dL1x3fMlKpt9EB7P1iERD8ID4nefGQ2SOXYgsvHzL43DJJ4XbmNjYygvL491NRgZGBjAzp07Y12NqBNP2qVYWVlBaurW+CODrRSL2+2GUCiMdTV8xKN2o0k8e320STT/3iztxqsm9Ho9ioqKYl2NIOK1veK1XsDm+26ijeVwiNdxEAniWbMUW+WlcSi28hiiSAS9RQr+pTEPVxL1pTHFVtozh0u87bGjjcPhIJ7Vw5XkVM4WhfTn1PEA05+p8sSGS5cuxboKEWMrxXL16tVYV4GHhxHev+Mbg8EQ6yrwJAhbeSzz44AnGmzlMcTDw7N12Up75nBJ9j32jRs3NpwH/9KYh4eHh4eHh4eHh4eHh4eHh4eHh4fHB//SeAshFifPN1p41s/evXtjXYWIsWfPnlhXIWJUV1fHugo8PDwJSFVVVayrwJMg8OtEHh4eHh6e5GMr7f/DpaamJtZViCmRiD/t2WeffXbjVWHn+PHjeP7553HixAm8/fbbeO655/D1r38d6enpeOWVV/DWW2/hgQceID6/vLwMs9kMuVwOgUCw2dVlxWAw+L6ZZrI5cap/Ei91DMLucqMwOwPZ6UJMWe042TeBY52DmHO4IBOnY3llGX+4djttcV4GZu2uoHS5GSK/8gLLyM9KR5vWgJ+23wj6OTcvD7n/P3vvHtXWdacNP4CQAHERQkjiJiMQjuuEGscxODaOASfx1+Rt0yZrTWba9c3EuTRd7cysaf5sZ9akmWnW6mQmXZ1JnHhy6zu9fMn7rjp2Eye1XXOxwTE42BB84SIQBoQuCHERkgAJ8f0BRxwdnX10JISQ4DxrddXaZ19+v72f/fx++wRpp0vw+Z1gm9hgnHHhdM+If/zcDAmaB83IFItY7aLbYnctwAfg2sgEFFIxplyrvlzpg2PeC4koBf/WdBOmGTcUmWnwzbuQn5+/0csTd4gn7lK8fOtKP5FviQLKl7e3kC8nr+rjypdwucvUKlVWGuYWvGgcMMHlWcKFvvEV7rkXoMiQoFlv9utYQXYaptyeAD1SZKbBs+TFmZtjeLO1F9a5eUglqfAt+yAVp7Lqr9vjxcX+wPFW2on87ULZTWkmXesjxcScG8YZN87cHMHJL/rhWPBCydBkTl11e3C+14iFJZ/fHy5dN826MT7jwpmeUfz36njpohT8W9MtTDrn/e1IPpMQjbmIJdaru3w4wayjkKZhyr0SB98ixHRmbpAnleDLERscC144F734U+843iSsicXhxie3VvbCzLwHElEy/r3pNsZnXEiVSHB91IYMsQinekbw9pU+OBa8kDPyhVDrHArMnEGRmYbsNPacJztNHLe8iVe7gPC4G+4+tjjcaBt34gSLjlBa1WqwIF2Ugj/eXFvP/Mw0zHu9+COLFs97vBhjaJxElILXmm7BtehBpiTVn5M6FjxIF6VgfNaFc33jeKutP0DzZOliXvwk6ap7dhoqlSrkvPCZNzaue5a8+ORW6Pmm+v9tpwGaXCnO9wXua7fHi09X+/Et+wLmiDQf8cxZChR3AcS9resB37Wg88y37EOmWIQzN0dxorUPM24P8jLEON87jl9duoMFzxJy0lLx+R3jCm9kUpzrNeKN1l7/M2r/TbsXociQ+NtSseR/dwyizzrLemYLOKMSdJzkY7g6k2gIN1945fz2/pr7dsY/H4uvF498ubuVzv/hwv++4IuBbec7EF3/Y34R3s9+9jPs2rULTz/9NFpaWvDWW2+hoKAAv/zlL4lt4ulCJupyAIvDjWMn/4we07T/WWWBDGefb8Dj7zYGlX/yfANK/+WUv2z4n57EN1nqnX2+wX+rIWmM15/Yj0fevhD0+cIPHsFLZ64F1T/34sNBt/waZ1x4/J2LQXU/fb4B/4tgF5tfrz+xH1q5FN/5oJloZ2WBDJ88V4+S3MwwZnprIF64a5x2sq4fnW+JAsGX2CAc7rJp1eW/PYYf/qEdrz+xn1WX6Dqm/8m3WTXk4+N10L16OqDsxFM12CHPZNWvE0/VYN7rYx3vxFM1KFdkBWghSWPPvfgwxvpvr+siGIvDjUGbAz/8QztRk7k0ntJV0vwxdd0448Jd+xzreHQtPvvCUda5Y4sTFBLtUpz16C4fTnDxnbSXSXv9k+cb8M13G3HiqRocfuNc0JiheEKt66njdXiSIw4z+wwXpJyBlBucfb4B5sHeuORNPPOZL3e5eMq2vlz1Afi1isQjNn6eeKoGBdnpxPwPAFGLmX1ROheKn1y6evqva5GensY5L3zmjcR1tnjEtJfePyknp/tPqsOcj3jmLIXtchEen7Vg8oxrnZnnN2bdUG2pz9Q5M5Qus5a/cBRFOWuXJIU660YaR+IRwkV4AvgiES/Ci+dz5kZjO/sORN//mP48RU9PD/R6PZ5++mncvXsXH330Ef7+7/8+liZEDc16c8AiAMBf7i3FxYHg8h7TNJr1ZvzrN1a+Sv/zx6rQRKjXqDdzjtFjmkafdQY1GkXA5+dqdOi1zrDWbxm0BNl/sd8UVFcqFqGRw679JYqgcsf8IlqHrJx29pim0cxig4DYgcRLOt8SBYIv8QemVh3YoUDX+BSkYhFRlyh9eK5Gh0tDFtY6l4eseLZaF1BmdriJ+nnLPI0p1wLrs+7xqaByksa2DFrW/TXunvEpdLGMSddk0vjD9jnctkxzzh9T17uNduJ4g7ZZvxY3DpiQkSoKqsMWJ7Yj+HCCxHeuvcyVGzxdVYru8Sl/XKePyWUTPca2DllZ15WZL0S6zqScgUvDtvJfG242uHgabv0R+xy6xqdQrVHgMkGL2fhpdriJ+d+0ewF62yzvvvqsM8hIFYXkJ5euXh2dQk+Emksfl43rpHjEtJfqZ5mw/wAAIABJREFU/8AOBVG7Kf+56vCdDwHxCTrPQq3zc9Vr5zdm3VBt6dpOnTNJusyp1wPsOWe4OiNAgID4wlY5Z0aC7ew7EH3/Y/p9+ZMnT+JHP/oRnE4nXnnlFfziF7/A4OAg7/bUf8HebBgMBjSxTHi1RoGPbgyztmk1WPEXe0p51ftWhQJ2u511DADoMtqhU2ShfcTm/7yvWI7rY3bW+o0DJuzPWYbdvvJco9GgzWANqqdTZLGWU3btK5bj/Y7A8knXAjpW7eCys9VgxTFNFkZHR1nrxhqx/iuIzeTu3r17Odf1e/drE+ZG1aqqKk5f/qpqB7q7u2NsVWSorKzk9OUvKotZeRNv3JXL5UFapVNkoXt1/3cb2XWJ0od9xXJcMUyw1mkbDtadafciUXO+HJ0MeBnBHE8iSobBYIDdbme1m0LjgAn7H1Cjs7OT9XkoyOVyjE57ib43DZhRXyQljt8xYkN1SR7n/NF1XaPRwOxwE+t+OToZoMX0+MHWHxsinQs64o27TPDhBFv851qnVoMV391byr3X95Ti/3QNB61L44CJkyf0GNs2zL6uzHwh1DqzIdKc4VsVu6PCm41AuHbFE3dD8pSxvlz1mwbMUN1fiu7VPJKkxUweAdxaPO1eROfoJO++qDIufobS1ZYhK/Zr8lifhdpL1LiZmZlETrPFI7q99HnmE/uSkhCyDtU/ELkGb8Zf/cbrvo8WuPxj7rdQXLi/RI4bq+c3Zl0+PKL2ERVLeq0zEei1Bcc0mQFnNNJZF4gsjkSCWHI3Xt4xCIhfhKNr8cDdrXT+Dxd79uzh9P0v92jw1Vdb96dmIvWfi7cxe2k8OzsLg8GAAwcO4Pz585iYmMCPf/xjzM7Owmq14r//+7/x/e9/n7OPzf6KP7AiGFqtFvXTwDtX9QHPOkZsOKRV4t12fVC7Wq3Sn1yHqpeTk4OcnBzWMQCgqkiO33w5FPC5c8yOqiI5q80NFQXQakuh1Wr9ZYe0s0Hj620OvPjgTqJdlwaDyZeXIcGhUmVIO2u1SiiVK//bjths7nLxLTk5OaG+Ssjli0gk2jK+SCSSuPCFD3eZWqW3OfC9fWX4XecQvrevjLUNpQ9pqSk4pM1nnYdDpUpcHgrUHVm6GLVaFavmPFCSh5x09t9qqiqSQ5ObCa22wK+FJI1tqCjAwsL8uuZ/cHEcbq+P9Vl9hRr5+fmo182xjl+tUUCVJfHPIxuYuq6eWMAeQgx4oCQPH3Ss/AfaWq0Sb7X1h+yPjkT4ajQbItHdUJzYtWsXke9sqNUqkZKSEjI3YMZ1akwuntDbHCpV4u0rwevK7JdrnbkQSc7gcrnikjeJwOdQ3OXiqVYbvL6k+vUVamSIUrBnNY8kaTEbP2XpYmL+J0sXY19JHu++qLJ/OPI1Tn5y6eqRMiUUmWmsz0LtJWreAHauA+zxiDnf1DxzaQLla1ISQtah5sNut8c9Z+lIJFvDBR/9oO+3UFy4PmpHVbGctS4fHlGgYglJl7n1WhVwRuM66wKRx5F4Bu984fe3N94YAXGJeNU1Lu5upfN/uODyPTU1dUv7DkTf/5j9PMW1a9fw4IMPAgAeffRR/PGPf8RvfvMb/OQnP8GBAwdCvjCON9Tp1KgskAWUfXhjGEcrgssrC2So06nxj593AQB++lkX6gn1GnRqzjEqC2S4R5nj/y/L1Of32vXYpcxhrX+kXBVk/9GdBUF1nYteNHDYdW3UFlSelSZGbZmS087KAhnqWGwQEDuQeEnnW6JA8CX+wNSqq3dtqCrMhXPRS9QlSh/ea9fjoTIVa53DZUq836EPKFNnpRP18161DLkZEtZnewpzg8pJGnukXAWn0xn+RND7KcxFFcuYdE0mjV8qz8RulYxz/pi6vqdIThyvXJHt1+KGigK4PN6Q/W1X8OEEie9ce5krN/ioaxh7CnMD/vKSD0/oMba2TMm6rsx8IdJ1JuUMXBo2Pj4e0VgCQoOLp+HW18gzUVWYi44RGw4TtJiNn+qsdGL+J0uXQKfI5t3XPcocuDzekPzk0tUDJbmojFBz6eOycZ0Uj5j2Uv1fvWsjajflP1cdvvMhID5B51modX6vY+38xqwbqi1d26lzJkmXOfW6gj3nDFdnBAgQEF/YKufMSLCdfQei73/MLsJ79913IRKJ8MwzzwSUt7e348MPP0y4i/CAlYsOWgYtK181rlDjSLkKqqx0GKedaNSb0WqwolarRINOjQxxMi70r9V9ZKcKrkVfUD3mD1MzxzikVeL62CQ+u20M+vzoThWqS1VoM1iDbGKDccaFxgEzWg0W1GqVOFKuRpdxEvcX56GJxS66LQe1StxXIMPYtBMHSxWY96z40maw4ki5GvuK8/B+xwDuVeeioUKN2fG7+NrXvrbh6xNviCfusvEyUX8IXvBl4xEud5laVa9Twbe88s2KYpkUN01TaDNMoLZMifpyFa4b7X4dO1qhwrx3maZHKjRUqJEmSsKFfjOa9RZUaxSoLVMiNz0V+ZnprPqbnLRyyKLGu2KYQM0OBQ5q19qFspvSzGj8NeLEnBtTbg9ah6zoGLGhTqdCvU4ddHESUVe9y7g6PIEyRZbfHy5dN826MTu/iDbDxMp45So8oMnDe1f12Fss97cj+UxCIvxlJh3r1V0+nGDWeahMBY/Ph+YBM1qH2fcyc6/X69QYsM4iLzMNmRIROkZsaNFbWNfE4nCjSb+yFx4qV+KB4pW/Ht+tzsF9BbkwzTjx9UI5GgfMuDI8gTqdCofLVAH5Qqh1DoXAnGFljxblZBA1LF55E692AeFfQBrOPrY43LjYZ8Rlgy2oPqVVdyzTqCqU49KQZXU9VThaoUZqShIuDgRrcXISMOkK1Lj7i/PwQbseB7X5uL84z5+THtGp8EBJHuY9S+gyTqHNYA3QvJVvWITmJ0lXLYYBfP3rXw85L3zmjY3raaIkXBwIPd9U/zfG7Dheo8P1scmAfZ2cBDTpV/p5bHdRwByR5iOeOUtBuAgvEHSePba7CPcXydGkt+CywYKHylSoK1fh6t0JnO834dGdBTiwIx9twxMrvKnWoXNsEi2DZjyy+qx50IJLQxYcLlOhntaWiiUf94xAli5mPbMFnFEJOk7yMVydSTQIF+EJ4ItEvAgPiN9zZiywnX0Hout/zF4arwfx9OItnhO33t5e7Nq1a7PNYEU8z9tGIp64S8Hn8yE5OaZ3YG4YvF4vRKKY/jT7hmFhYSFuOALEJ3djie2qWWxItLnYKO7G6zzMzMwgJydns80IQrzOV7zaBWy87sZznrhexPO6rheJ4Jvw0njrYDv4SEF4aSyALxL1pTGFrXT+DxcejwepqambbcamIRr+b0/mbFGs9+vUArYHttKP3ifKpXd8IFzCIUCAgEig1wf/ZpkAAWwQ8kQBAgQIECBg+2Ernf/DxVa+9I4PouG/8NJYgAABAgQIECBAgAABAgQIECBAgAABAgT4Ibw0DhM7duzYbBOIKCws3GwTBCQA9u7du9kmRA2CLwIEbDziOe4JACoqKjbbBFZIpfH5u3FyuXyzTRCwAYhXvkUDGo1ms00QsIqtzDMBAgRsXWznc2ZVVdVmm7Cp2L1797r7SHn55ZdfXr8pG4ulpSVYrVYolcoN+/1S44wLp3tGcKKtD1OuRSgy05CdtvLbH8ZpJ073jOJEWx8WIIJCKkF2mjigfMq1SCxXZ6djxr0YWDczDa5FL059xT6m3y5aX8kApGKR//Oidwk5aak4s/rZkyKGQirB5UEL/qP5Nqbdi1BkSNCsN+OXLXfgWPBAIkrBa0234PP5kCZKCbIpOy2Vcy6AlUsRzt4ewxutfXAuepCfmYZMCffvpJhMpm35UpsPdyOZz0hAcemtK/0BfE1ECL5sPMLlrt21AB+AayMTkKWLo8Jh06wb4zMunOkZxX9/0Q/HghfK1f1BH9u37EOWJBWf3h7Dm629WFpeRiZNK7nmlbT/ZmZmsCiWcmphKPDZ2xaHG1cMVoiSk/HHm2v25memwckjRjD7+uTWyhykpiQHazwhRuVJJbh21wZJagpn3PMtL+F8nwkuzxLahixYWPLhQt843rrSv6HaFS7C4e5vOw3Q5Epxvm8cb4bQ4EjiWDjj0Pni9fmQk5aK8dk1/s8ueJEEoFFvRpooBQveJZzuGcF7Xw5jyrUIZWYaJpzz+LhnBB91DaM0NxPn+sbxZmsvrHPzkEpS4Vv2QSpODRqPy29mPVVWGmbcHnzcM4L/74YBGlkmzvUa8UZrr59nS74lXBpz4gSDGxNzbhhn3DhzcwQnV/d0migFv+8cQkF2Bs7cDM5JQtlD2ldMm+cWvDh7ewyfDtqhyc3kteaxxkbnuzabDcjIDpo/t8eLT2+FntPGgZX9z9z3bo8Xf7y5oj0z8x5IRMn496bbmJibhyQlBa813YTNuYDsNDE+u2P0zzt9XUh7ZMHrxdiMG2dujuLkF/3+WENpUMugGdlpYnw15cGvLvXCuehBboYEzXoTftlyJ2gcKmZkSlLx+R2yz3Q9tc4tQJEpweTcAj7uWeOuctU+s2Melrl5/HHVxpl5DxQZElgcbpymcT1dlIK3v+iHMjMN53rHcaKtF44FL+Q0e+2uBSQlJcG16MWfelf2rzc5NWBOlXHCVzoo7gKx+SOWaOTObOe4Jd8S/m/XWtxVZqXDtbjGHVW+HBmpgfmFMisds/Mef76w6Fk9n90cxYnWPsy4PcjLEON87zh+demOf6yvjHb8/M89WFit//kdI5r0ZhTlZATZde2uDb9ovBl09iPlN6TYQ50Ff3+drLn0WBerM8pmIVzNfeX89v6a+3bGPx/bs9kmBIAvd+P1nBkLUL6/vQ19B9b8f6d9cN3+CxfhYeWF8ePvXESPadpfVlkgw9kXjgLLy3j83cbgZ8838C7X/+Tb+M4HzUF1TzxVg8NvnAsak7rF1jjtDOhr4CffxpO0fi784BG8dOZaUL+njteh4tXT/s+vP7Efj7x9IeBzqVwa0FdIv1btsjjcOHbyz0HPz734MOdtutvpUgU6QnE30vkMF0wuUeOcfb4h4W4RFXyJDSLl7utP7MdLZ66tm8PGGRfu2ufwwz+0s+oRXbOZWsjUSn87xrxy7b9F7xK++V4TUQtDgc/epuqcOl7Ham+oGME13vA/PYlvhhG7Pnm+Ad98t5Ez7n36fAP6Jxx46cw1/zpvtHZFgnC4S4qjbH6EG8fCGYe5fhd+8AjSRMms/KfmnsmPy397zF+fNN6Jp2pQrsgCAF6xh43HfMb55PkGlP7LqYCysy8cJe5pin+h9ls4+ypcmxOBu+vFsHUK3/6fVl5awzanpH3P1p7KPal/Awhqy2ddPj5ex5pDU7bQ/5+Z61Kf6eMA5PyZtB+5/Pz4eB1Ms+4gXjPHpOqT9J5pf6g5jQe+0hHLi/CikTuT8q9Pn2/ADpp2MdeRLb/gyy/mGlNj0euTYjelqaS+6fkNn9jDpblm/R3s27cvZmeUzYRwEZ4AvkjEi/Di+Zy50djOvgPR91/4eQoAF/tNARMKAD2mabQMmtE9PsX6rFFvRkaqiLX86apSf9lzNTpcGrKw9tE9PoUajSKw/YB5za4Bs7/dczU6XKb1c2CHAr3WGdZ+W4eseLZa5//cZ53xj9NjmkZy0nJAX0z795cogstX7WrWmwlzZYGA8BGr+aRziT5Oo95MaBG/EHyJD5C422edQUaqaN0c7jba0UXS3wGTX38P7FBAb5slamVAO8a8knwYmXKiSU/oY4Df2vDZ2816M6o1CqK9oWIEabyfP1aFJhZuScUiIueaV2PXLfMUGgm2N+nNkKWlQioWEeNPIsQCaq644mg0/AhnHPr6HdihwJR7gcj/YfscMlJFAfw4sEPhr8/cE/S23eNTGJly8o49zHrMcUh+NevN+NdvrH0dUCoWEfd0tUbBylc2vvPdV5HYnAjcXS/a7k7y1hrmnHLte7b2VO7ZY5rGtHshiJN81kUqFhFzaCrW0P+fnutSn+njUOOGsx9D+zmLm+Zpom/MPlqHrKznB6b9oeZ0O/CVhGjkzqRY2KQ344/P1gEIXke2/CIcfjHXmBqLqk+K3ZSmvv/0g8S+6flNqNgjFYs4NTcvLy+gH2ad7cw9AQISCYl8zlwvtrPvQPT9F14aA2gzWFnLLw1aYZ51sz5rNVihW/1rHWZ5NS3J21csxxXDBGsfXUZ7UB+thrVATLeL2Y9OkYVuo52137ZhK/YVr/1mH3OcpKQkok2thsC2TLua9OyJQhPPFykCAhGr+SRxvJVQHs8QfIkPkLhL6c16OWx2uIkaR9dfnSILnaOT/mdcmsucV5IPbs8Sx9rwOyzx2dtNesu6YgRpvGqNgtV+nSKLk3PVGgWM027OOumpKZzxJxFiATVXG+1HOOPQ10+nyMKMe5HYpmPEBp0iK4Af9DGYe4KOLqMdbs8S79jDrMcch2uP0nMhnSKLuKf3Fct57ze++yoSmxOBu+vF5WH+WsOcU665Y2tPL5t2LwZxks+66BRZIfWR+f/M58y+w92Pofw0zbo5fWOibZj9/ECyn1RnO/CVhGjkzlxxbk/RyjmIuY5s8TocfjHXlBqLqk+K3VTdB0oUnJpLIVTs4c4FLMjIyAjoh4ntzD0BAhIJiXzOXC+2s+9A9P0XXhoDOKRVspY/VK6EOpv96ze1WiX0NgdreceIzf+5c8yOg9p81j6qiuRBfdRqVax2MfvR2xz+pIaJQ6VKdI6tJQnMcZaXl4k21WoD2zLtqtepgp4BQH2FmrVcADdiNZ8kjtcSyuMZgi/xARJ3Kb1ZL4fVWelEjaPrr97mwL6SPP8zLs1lzivJh/TUFI61YW/DBJ+9Xa9TrStGkMbrGLGx2q+3OTg51zFiQ5EsnbOO27PEGX8SIRZQc7XRfoQzDn399DYHctLFxDbVGgX0NkcAP+hjMPcEHVVFcqSnpvCOPcx6zHG49ig9F9LbHMQ93Tlm573f+O6rSGxOBO6uF4dL+WsNc0655o6tPb1Mli4O4iSfddHbHCH1kfn/zOfMvsPdj6H8LMhO5/SNiUOl7OcHkv2kOtuBryREI3fminPUi1bmOrLF63D4xVxTaiyqPil2U3W/HLVxai6FULGHOxdQweVyBfTDxHbmngABiYREPmeuF9vZdyD6/gsvjQEc3VmAygJZQFllgQxHytXYU5jL+qxBp4bL42Ut/6hr2F/2XrseD5WpWPvYU5iLdtqhqrJAhgZaID5aofa3e69dj8O0fq7etWGXMoe139oyJd7v0Ps/36PM8Y9TWSCDbzkpoC+m/ddGbcHlq3bV6dSEueL3IkVAIGI1n3Qu0cdp0CVe4if4Eh8gcfceZQ5cHu+6ObynSI4qkv5WFPj19+pdG3SKbKJWBrRjzCvJB02uFPU6Qh88D0t89nadTo2OERvR3lAxgjTeTz/rQj0Lt5yLXiLn6lZj173qXDQQbK/XqTE974Fz0UuMP4kQC6i54oqj0fAjnHHo63f1rg256RIi/0vlmXB5vAH8uHrX5q/P3BP0tnsKc6HJlfKOPcx6zHFIftXp1PjHz7v8Zc5FL3FPd4zYWPnKxne++yoSmxOBu+vFoR15vLWGOadc+56tPZV7VhbIIEuXBHGSz7o4F73EHJqKNfT/p+e61Gf6ONS44ezH0H5m4z61jOgbs4/aMiXr+YFpf6g53Q58JSEauTMpFtbr1PjW+80AgteRLb8Ih1/MNabGouqTYjelqc9+9AWxb3p+Eyr2OBe9nJo7OTkZ0A+zznbmngABiYREPmeuF9vZdyD6/gsX4a3COONC44AZrQYLarUqNFSoAy6ka9Sb0WqwolarRINOjSKZlHf5o/cUwrvkC6xbUYCUpCRc6Dexjum3i9bXE/cWY0+hHI16C1oNFhzbWYiaHQo06S24bLD4begen8KZW6M4rFWhXqfCdaMdn9024ohOhfuL8/BBux4NFWrsVuX4+6KPzzUXwMoFCy2DFjQNmFFfocaRclXICxGEi/DI3I1kPiMBia+JCMGXjUe43D2oVeK+AhnGpp2o1iiiwmHTrBuz84toM0ygY8SGOp0K9Tq1/6IiauzHdhdhX3EeLg1Z0Ky34BtfK8S+4jw08ZhX0v67c+cOsgt3cGphKPDZ2xaHG1+NT2FnfjYuDVlW7VXhaIUayTxiBLOvJr0ZzXoLvlNZgnvVMtY5YHKuXqdGv3UW96hyOOOeVJKMy0M2FMukGLI5UKbIwk3TNK4YrBuqXeEiHO7eGLPjeI0O18cm0aK3cPoRSRwLZxw6X/6frxWiukSB2QXPGv/LVbivIBc3zVN4oCQP0tSV36im4v/DFQWY96789ET/xCyer9Hhy7FJNOstqNYoUFumRG56KvIz04PG4/KbWa9ep4JnaRkXB8y4ZZ7Gs9U6dI5NomXQjEOrXMkQJ+Pz20ZcNtgC+p6Yc2PK7UHrkNXv076SPPyp14gn7tOgZdDs3wMkvvPdV0ybfctAy6AF18cm8WxNBa81jzU2Ot/96quvoNJWBM1fctLKV9FDzWnHyMr+Z+775KSV389r1lvwULkS+4rz8OuOQewpysX9xXl4v12PqqJcHCxV4sqw1T/v9HUh7RFRMjDp8uCKwYr2uzYc1ObjvoJcDNlmUabIxoB1BgdKlbgxZsOfek2or1DjkFaJ62OT+Oy2MWgcKmbcX5yHNoOV6DNdTw/sUODozgJ4lnxo1lsC4pEoGZiZ92JxyYcrq3v1SLkKR8pVcC16cYniuk6FB0ry8H+77uLJr2vQOTaJS4NW1OlUOFym8tt7UKvEnsJcZKWJ0H7XxjqnVByMJ8TyIjwgOrkzW5zLECfj09trcffhnQVITlrjzrfuLcTXC/MC2j28sxC+5WU0DpjQarAGnc8eKlOhrlyFq3cncL7f5B9r2D6H/+kcwqM7C3FghwJtwxOwOtz4dqUmKHb3WWfxUfcw8ezHzG9IsYc6C57vNeJbBM2lx7pYnVE2C8JFeAL4IhEvwgPi95wZC2xn34Ho+i+8NA4TNpsNCoUidMVNgMlkQkFBwWabwQrhpfHmc5eCz+dDcvLW+JLB0tISUlJSNtuMqCDe1iUeuRtLbFfNYkM8xz02bBR345UTMzMzyMnJ2WwzgtDb24tdu3ZtthlBMBgM0Gq1m20GKzZad+OVw9FAvPItGpiYmEB+PvvPdMQLYv3SeLOwlXlGYSvrBBPCS2MBfJGoL40pxNs5M5bwer0QiUShK25RuFwu/2/VR4rtyZx14O7du5ttAhHj4+ObbYKABMCNGzc224SooaurK3SlBMFWWhcBWwvxHPcEAHq9frNNYIXT6dxsE1hht7NfJCUgsRGvfIsGRkZGNtsEAavYyjwTIEDA1sV2Pmd2d3dvtgmbijt37qy7D+GlsQABAgQIECBAgAABAgQIECBAgAABAgQI8EN4aRwmpNL4/R2UeLZNQPxg7969m22CABYI6yIgXpGXl7fZJghIQAg5iYBYQi6Xb7YJArYBhHgoQICARMR2PmdWVlZutgmbimj4n/Lyyy+/vH5TuHHq1Cm8+uqr+Pjjj/Hhhx/ilVdeQXl5OX7605/i9OnTaGlpQV1dHVJTU1nbLy0twWq1QqlUbtjvkVgcbpy9PYY3WvvgXPQgPzMNmZLUoGepGZlQZacjU5IK47QTp3tGcaKtD1OuRSikEmSniYPLM9PgWvTi1FcjAWXZacH+0sfyLfuQKUnF53fW7MrNkKBZb8IvW+4EfVYp5MgQi/xjL3qXkJOWijM3R/H7TgM0uVKc7zPhzdZe2FftvTo8gXeu6lefjeN3/nqB/36ztQ+OBQ/EKcl4rfEWTLNuog9sMJlMKCwsjOqaJQL4cJeLe9EExcu3rvQH8DWRsRV4Fa/rEo7ubgSHJ51uTLoWcfbWGN5s64V1bh5ScSp8yz5IxYF908cXpyQhLVWETwPaibDo9SErhObSbU9EblkcbnxyawxvtvbCseBFTpoYn90xrmn+qmaTYhcdxhkXTvesxKxlcQbyM9Mw7/Xi01sbr1XrRbRyBiY3KooLIJOGvgCITz7x204DNDIpzvWO4422Xky5FpGfmQbnohcX+kyY9y7hfN843r7Sj9nV2PvvTbcx415AdloqztDW777yHchJZ9eMcPcm31yI/ozJp9wMCf7ny0FUlBSu5hwr+YNElILXmm5h0jnvb8vHvmjVoRDPe3uj891Ifadry8y8BxLRCh/HZ1zwAegYmUBGqghnb4/hzbY+2F0L8AHoGbcjTZSCMzdHcaK1Dwuelbz07O0VXbLOzUMqYdd1PjY1Dpjg8izhQt84PrxtjboukXjFLFdlpWFuweufI4tjJe54vMuYmV/Eqa9GVvby6ty91nQLI1NOpItFmHV7MOVexC8aA/cGHfHMWQoUdwHEva0U2NbX7QmOc44FLz5ePcPJZTJIaWct6kznWVpZ/zda+5AlSUFqcrK/TjIQ0Ib5mdoXn98x4g2GXvp8PqSJUoLqnrm58tkx74VElIJ/a7oJ08za2Ywew0nnTlKd9fAtVmeaaCFczX3l/FcxsEpAPOKfj+3ZbBMCwJe78XrOjAUo309e1W8734Ho+h/zi/B+9rOfYdeuXXj//ffxu9/9DgqFAv/xH/+B/Px8/PVf/zVrm42+GMTicOPYyT+jxzTtL6sskOHciw8DAOuzs8834PF3G3mXn3iqBoffOBdY94WjATeDM+248INH8NKZa0F9vf7Efjzy9oWgzwM/+Tae/KCZtT2pr1PH6zBsd7LWCzU+mw8kbKdLFegIxV0u7kXzdmLjtJPI10S+RTTReRXP68JXdzeCwxaHG65FL75D0zOq3xNP1aBckeXvmzk+Uwfp7XbkSgPmlcv2sf7bCcUtvvGDK3ZRc2OcceHxdy7yimPR1qpoIBo5Q6S85ptPkNbnxFM1mPf6iLEXAPu6ssTicH2IZi70yfMN+CZLOTN/YOPb8lPTAAAgAElEQVQZ3T4+PoTrZzzHjXi8CI80v/S1PHW8jlV3meVcvKfrOl+bXn9iP2t/0dAlkt9svL38t8fwwz+0B9X9+Hgdaxyjz92Jp2oAAPNen7+MaX88c5ZCol2ER1pftjhHLyPlGB8fr4Pu1dMAgOF/ejJA/5htuM5r9D5ff2I/SuVS3nX92kqK87Q4QYrzZ184CrP+TkRrGKszTTQhXIQngC8S8SK8eD5nbjS2s+9A9P2P6c9T9PT0QK/X4+mnn8ZvfvMb/23sXq93Q5JjvmjWmwMmFAB6TNO4aZpmffaXe0txcSC4XCoWsZb3mKbRPT6FGo0ioKxxwEy048AOBXqtM6x99Vln/H1Rn3/+WBUuD1lY23P11TpkRRKWg+rxGZ/NBwHhgcS9lkFLVMch8bJRL6zfZmIrrMtGcHjEPodWg5WopfRy+vjP1ejQxtXOHFjOZXuifbWeb/xo1JuRkSpiLadwsd/EO45FW6viBZHymqtdzyp3udbH7HBDb5tlfTZom8WUa4F9XVlicbg+hJsLceU8zXoz9pcogsqp/EEqFhF5RrePjw+xiqPbFaT5peeCrUNWVl2hl3PxnqnrfGySikXE/qKx9kTOM3h7YIcCN83TrHZcJswLfe66x6dgnnVj2rXgLxO4u/Eg8ZotzlFlz9XoAs5a9DqXh6x4tlqHnz9WhaaBwLyE3ob5mWtfDNvncMcyzatuwNmMFOcHQsf5xgFzxD/BIWixAAHxha1wzowU29l3IPr+b8xvPRBw8uRJ/OhHPwIAKJVKAMD58+fR3t6Of/iHfwjZnvov2NGEXC5HE2HyRqbm0D5iCyqv1ijw0Y3hoHKdIgttBitrX11GO3SKrID+Wg0WHNNkYnR0NMgOnSIL3Ub2G76ZfXUZ7Xh6b2mATfT2XH21DVvx3b3asNrQx6f7EAqdnZ0h68QKsf4rCDbucnGvccCE/TnLUbnlfe/evURethqs+N792oS+UTWeeBUOIl2XeOAuhY3gsFwuh9uXwamlaaIUGAwGAAgYf1+xnLOdRJQCl8uFO3fuhLb9AXXCcGvFl7VDGZd+txqsQbGIKn9qdwGcTmdYcSycdY4n7nIhUl5ztWsaMGO/ZuUgzrU+0+5FdI5Osj77cnQy4GUGHcxYHK4PkeRCXDlPq8GKfcVyvN8RWE5xKCkJxLaUfQBC+sCnDttahbu3E4W7fBCO71y8oOtB2zC7rtDLQ+WVElEyDAZDSC2hbOLqb705FMlvNs7rFFnEPUuaF/rcdRnt/n1NlbHZH2k82oy/+o332MmX18yyfcVyXDFMsLZrG17RvJ3K7IDzGLMN8zMXjztGbKguyeNVN/BsRorzK3EiKSmJQ7stOKYpD3sNNyIfjCV3N1JzBWwNhLMn4oG7W/38z4XKykpO3/+isnhL7/lI/efibcxeGs/OzsJgMODAgQP+sl//+tf405/+hHfffZfXXxpv1Nf16qeBd67qg8o1uZnIEIuCnnWM2HBIq8S77YHlepsDLz64M6gcAKqK5PjNl0MBZbVaFZRKpf8FOt0Ovc2B7+0rY7WX2VdVkRwdIzYc1Ob7x6a35+rrUKkSvtVfKOHbhj4+0wcSEuGrdRsJEndJ3GuoKIBWWwqtVhuV8dn4CgC1WiWSk5MTdm0SnVeJsC6hdHcjOGy7O4FDWiVrv1VFcpTkSqHVFgSN3zlmx+EycrvCnHRkZGT455XL9oWF+biYf75Y8WUAALd+12qVeKutn7U8IyMDGRkZOKSd5R3Hoq1V0cR6coZIeU1qV1+hhnz1d4e51keWLsa+kjzW+X+gJI/428VssThcH8LNhbhynlqtEpcGgxNWikNJSSC2pezj40MkfiZC3Iinn6cgzS9dDw6VKvH2lWBdoZeHyis1uZnQagt4aUn9NPCfl3uJ/UVDl9j8ZuO83ubA3+wvZ+UyaV7oc1dVJIeMpg1s9icCZ+lIBFv58JpZlpaagkO0sxYdh0qVuDxkxfT8YkBu1zlmD2jD/My1L6o1Cqiy1nSA/9mMFOdV/hhBivO1WhVcLldEaxirM81GgLfm/v72xhsjIC4Rr7rGxd1EOGduFLh8l0gkW9p3IPr+x+znKa5du4YHH3zQ//mtt97Cl19+iV//+tebfuNxnU6NygJZQFllgQz3FchYn314YxhHK4LLnYte1vLKAhn2FOYG/BffygIZGirURDuu3rVhlzKHta97lDn+vqjPP/2sC4fLVKztufqqLVNiGUlB9fiMz+aDgPBA4t6RclVUxyHxskEnrN9mYiusy0ZwWCPPRK1WSdRSejl9/Pfa9TjE1U4dWM5lu9PpjNj+zQDf+NGgU8Pl8bKWUzi6s4B3HIu2VsULIuU1V7vKVe5yrY86Kx06RTbrs3JFNnIzJOzryhKLw/Uh3FyIK+ep06lxbdQWVE7lD85FL5FndPv4+BCrOLpdQZpfei5YW6Zk1RV6ORfvmbrOxybnopfYXzTWnsh5Bm+v3rXhPrWM1Y7DhHmhz92ewlyos9Mhy5D4ywTubjxIvGaLc1TZe+36gLMWvc7hMiXe79Djp591ob4iMC+ht2F+5toXpfJMfE0l41U34GxGivMVoeN8Q4Uak5PsfzkfCoIWCxAQX9gK58xIsZ19B6Lvf8wuwnv33XchEonwzDPPwGazoa6uDrt37/b/l5FvfOMb+O53v8vadqMvBgFWfry/ZdCCpgEz6ivUOFKuCrhkhXp2WKvA0XuKoMpKh3HaiUa9Ga0GK2q1SjTo1CiSSYPLKwqQkpSEC/0mtBosqNWq0FChZr1Ajj7WY7uLcH9xHtoMVr9dh7RKXB+bxGe3jUGfv3VvIb5emIdGvWXl60U7C1GzQ4EmvQU95ik8W63DjTE7mgfNOKRVoUGnwm3LDBoHzDheo8P1sUl0G6dY/92it+CIToW9RXK836HHfepcog9sSLS/kogW+HCXi3vRBImviYytwKt4XZdwdHcjODzpdMPl8aF1yIqWQQuqNQrUlimRm56K/MzAvunjP/l1DXarZbg0aFlrp1UiSyJCQQjNpdueiNyyONxoGjCjedCCOp0KB0uVuDJsRbPegkNapV+z+XDOOONC44B5NWYpcbSiAKkpSWjSb7xWrRfRyhmY3KguzEGpMjfsdmz5xI0xO47X6NA5OomW1Zh8tEKN5KQkXL07gR3yTNwcn8KV4QkcKVdhb7Ecv+4YxH5NHqo1CjTrLbi8mk/UlStRkpsZti2R2s58xuTTkXI1ztwcwbF7CnHdaPfnD/cX5+GDdj32Fsv9bfnYF606FOJ5b8fjRXjAqrbozWjWW/BQuRL7ivPw645B7Fbn4L6CXIxMzWFv0Uq+emnQgoPafNxXkAvb3Dx2q3LQtMrXR3cW4sAOBS4bVnSJS9f52NQxYkOxTIqbpmlcMVijrkskXjHL63Uq+Jbhn6NqjQKHtPnIloixtOzDxQETrg7b8FC5avVnWwaxMz8bB7X5EKes/P3OO18MBOwNOuKZsxQS7SI8gH19k5MQFOd8y8CfV89wT9xbjD2Fcv9ZizrTpYmScHFgpd1f3V+K8rwsvy4y2zxxbwn2FOb6P1P7om14Ak0D5gC9bKhQY7cqJ6hu86AFl4csOFKuxr7iPLzfMYB7aWezwBjOfu4k1VkP32J1pokWhIvwBPBFIl6EB8TvOTMW2M6+A9H1P2YvjdeDWLw05ove3l7s2rVrU20gIZ5tS4SEdyMQT9yl4PP5kJwc0zswNwxbiVfxti7xyN1YYitxa70YHh5GaWnpZpvBGxvF3XjlRLzaFa85SbzOFxC/L40TAQaDIa6//r4eJMK6JeJL40iQaPEwEiQC36IF4aWxAL5I1JfGFOLtnBlLLCwsbMuzLIVo+L89mbMOxPNXluPZNgHxg636o/eJDmFdBMQrIv2qqoDtDSEnERBLROPiYAECQkGIhwIECEhEbOdz5la+9I4PouG/8NJYgAABAgQIECBAgAABAgQIECBAgAABAgT4Ibw0DhNS6fb5HRQBWxN79+7dbBOihq3kS1VV1WabIEAAKwoLCzfbBAEc2L1792abICBBsJVzWME3AbGAEA8FCBCQiNhKZ+Zwsd3z5Gj4n/Lyyy+/vH5TNhZLS0uwWq1QKpUQiUQxH9/icOPs7TG80dqH1IxMqLLTkSlJhXHGhdM9IzjR1ocp1yIUmWnITkuFcdqJ0z2ja+VSCbLTxJz9Ohc9UGWlYW7B6y/LkqQgNTnZ39f0al8X+sbxq0t3gvo2mUxByQw1xm87DdDkSnG+bxxvro6Xn5mGTEkqAPh9+f31lXoX+kx4s7UPjgUPxCnJ+PemW7DOLUCckozXGm/BNOuGOjsdM/MenO81YmHJhwt943jrSn9Q33TbmD4z6201bDZ36aB4+daVfk5eJgK2oi9vx5kv4XJ3Ys4N44wbZ26O4OQX/XAseKFc3d+h9r3F4UbjgAkuz1KAjuSmi3Gx34xfXboN69w8pOJU+JZ9kIoDNYOtvWPBA4koBa813cKkc56oNSQdZ9PTjQCb7VPuBRRkpWPavRgQS2TpYnTcnUCmJJWXbpLmneQzVf+Pt8awIzcTZ26ujO1JEccNL/lgo3SXK465PV58emsl1pblZWJibsG/F2bnPchOT0W3cRKpKSn4/A73XqBidoksA+d6x3GirReOBS/kGRI06034Zcsd5GWkIjkpCad7RvFO+yCmXIvIk0rwxfAE/r3pFry+ZWSlpXKOFS3Q58PuWoAPwLWRCWgL1ZBJ0wPq0HOR33UaoJFJca53HG+29WJ23strz64XsdrbkYAPd/nmUfR6vmUfMiWp+MLsxIm24DyNrc8FrxfjM2583mvEibZeWOfmkSEWwTzrRqPejDRRChaXfPjk1hjebF15ni4WYXbeA69vTacjsZcvX0n5OVtfjgUvPv5qRffsrkXIMySYdi/C7lrALxqjwzmLwx0wH9R8Xb07AVm6OGQ8JGlLq9GJE1f6/esYi30dLijuAon9YpUZH9XZ6ZihxWJSPKS3W/QuISctdSWGtvYhGYBULPL3seAJfE7lfleHJ/Ba023/2Ys6b0USf4nxn3FGzc2Q4M22PozPuPx1FkXpONdvjjuObQTCzRdeOf9VDKwSEI/452N7NtuEAPDl7lY6M4cLyncqT95OvgPR9V+4CC8ELA43jp38M3pM0/6yygIZzj7fgMffbQyrnH5bIVu/l//2GH74h3Z/2fA/PYlvsvT1+hP78cjbF4L6Zl5cQB/jwg8ewUtnrgX1de7Fh+H1LePxdy5y1qPGpP9b/5Nv4zsfNOP1J/YT+6ZuzO3s7ETxzt2sc0mvt9UQL5eJGaedvHiZCBB8iQ3C4a7F4cagzRGgX8CqLy8c9esLvZza95ROkXSEqXcnnqpBuSLLrxl827NpjXHGxWrb2ReOwqy/s+EXwXDZTukr07ZTx+vw5AfNIXVzPbFr4CffxpMsY8cDL/lgIy/CI8WxE0/V4PAb53DhB48gTZTMuhc+eb6BNaYz9wKfWHz3n57E/2Lp65PnG1D6L6c4Y3404y2JZxSnz734MACw+sUn39iI/CCeL3kKxV3SfDPniVmPiw8AWPv8+HgdqwadeKoG814fXjpzzc975nMAKFdkEfsOZS+pHp+5IMUcNls/Pl4H06wb817fujlHsoc+X1zxkDRXdLtjta8jwVa4CI8tJyDFYno8ZLZjrhMzppLW8dTxOlS8etr/ma6F4cTfcOM/NS6fnG2rQbgITwBfJOJFePF8ztxobGffgej7L/w8RQg0680Bkw0A1RoFLg4El/eYptGoN2N/iYK1nKvfAzsU6Bqf8pf9/LEqNBHG6LPOoEajIPbNHOPADgV6rTOsfbUMWtBttIesR41J/ftfv1GFS0MWSMUizr4pSKVS1rlk1hOwMeDia6JB8CX+0DM+FaBf/nLTNJr1ZmSkioLKqX3frDdz6ghT77oZ4/Btz6Y1F/tN7PM/YEZeXl4EMxEeSLY/V6PDpSELq22tQ1bsL1GE1E2S3jayrIdULPJz8bkaHS4Txk40XkYbXHGse3wKz9XoMOVeIO6FlkFLyL0QKhYP2+fwyXP1aCRoR7PejPeffpBXXI4GSPPRZ51BRqoILYMW9KzOB90vvvmGkB8Egm8eRa/HNdc3VznD9uzykJWVr93jU5h2LSAjVYTu8Sm/PtOfm2fdGJlyRmQvV71QbaRiEVHX2Wy9PGTFgncJ066FdXOOSxumXQsrZweCbVzrQNkdKpcXsH4w14crFtPjIb0dc52YMZVrHVuHrHi2Wuf/TNfCcOIvcW8Q4gY1Ltf+ETgmQEDiYaucMyPBdvYdiL7/wkvjEGjSBwfJfcVytBmsrPVbDVbsK5azlnP1q1Nkodu4dvNztUZBHKPLaIdu9S842PpmjsHsO6DOgBnmWXfIevQxu4x21GgUuGKYCNk3BYlEwjqXzHoCNgZcfE00CL7EH0anXUQduDxkDdArCtS+b9JbeGsP9Xl0yrnWTxjtmVpDnn8LMjIyWJ9FEyTb9xXLccUwwdqmbXglxoTSTZLethqC10OnyPLPBdfYicbLaIMrjnUZ7dhXLMeMe5HIxVYeewHgjsUdIzbsKczl1I4HShS84nI0wDUfOkUWmgbMGJl2AQj0K9I9u93BN4+i1+Oa65EpJ7HPtmF2vnYZ7Zh2L0KnyArSZ/pzt2cpInu56oVqQ9cyNruZtrYNW5GclOT3J9SYXODaC9PuRc6zA9c6UHbzzbcFRA7m+vCNh/R2zHVi9sG1jlR8p0DnbDjxN9y9QY3LVUfgmAABiYetcs6MBNvZdyD6/gsvjUOgXqcKKuscs+OQVslav1arROdYcDJQy6jP7Fdvc2BP0Vqi0DFiI45RVSSH3uYg9s0cg9l3QJ0KNdTZ6SHr0cesKpKjfcSGg9r8kH1TWFhYYJ1LZj0BGwMuviYaBF/iDyWyDKIOHC5TBugVBWrf1+tUvLWH+lySu/a1mnDaM7WGPP8quFwu1mfRBMn2zjE7DmrzWdscKl2JMaF0k6S3tdrg9dDbHP654Bo70XgZbXDFsaoiOTrH7MhJFxO5WMtjLwDcsbhao0D3+BSndnw5auMVl6MBrvnQ2xyor1BDI1v5DzB0vyLds9sdfPMoej2uudbkSol9Hipl52tVkRyydDH0NkeQPtOfp6emRGQvV71QbehaxmY309ZDpUr4lpf9/oQakwtce0GWLuY8O3CtA2U333xbQORgrg/feEhvx1wnZh9c60jFdwp0zoYTf8PdG9S4XHUEjgkQkHjYKufMSLCdfQei77/w0jgE6nRqVBbIAso6Rmw4WhFcXlkgQ4NOjWujNtZyrn6v3rWhqjDXX/bTz7pQTxjjHmUO2kdsxL6ZY1y9a8MuZQ5rX0fKVdhTJA9ZjxqT+vc/ft6Fh8pUcC56Ofum4HQ6WeeSWU/AxoCLr4kGwZf4Q2VhboB++csLZKjTqeHyeIPKqX1fp1Nz6ghT7/YwxuHbnk1rju4sYJ//CjUmJycjmInwQLL9vXY9HipTsdpWW6bEtVFbSN0k6W0Dy3o4F71+Lr7XrsdhwtiJxstogyuO7SnMxXvteuSmS4h74Ui5KuReCBWLS+WZ+OZ7TWggaEedTo1nP/qCV1yOBkjzcY8yBy6PF0fKVahcnQ+6X3zzDSE/CATfPIpej2uu71vlDNuzw2VKVr7uKcyFLEMCl8eLPYW5fn2mP1dnp0OTK43IXq56odo4F71EXWez9XCZEhJRCmQZknVzjksbZBmSlbMDwTaudaDsDpXLC1g/mOvDFYvp8ZDejrlOzJjKtY61ZUq836H3f6ZrYTjxl7g3CHGDGpdr/wgcEyAg8bBVzpmRYDv7DkTff+EiPB6wONxoGbSgacCMw1oFjt5TBFVWOowzLjQOmNFqsKBWq0JDhRpFORkwTjvRqDej1WBFrVaJBp2a9Qen6f3WV6hRr1PBtwx/2V/dX4ryvCx/X4e1KtTrVGgfseFc33hQ32yXu1Bj3Biz43iNDtfHJtGit6C+Qo0j5Sr/pQaULzfNU3i2WocbRjta9BYc0amwt0iODzr0qCqUY2+xHO936HGfOheP3lMAr28ZV4cnUKbIwk3TFK4YJoL6ptvG9JlZb6ths7lLB19eJgIEXzYe4XJ3Ys6NKbcHrUNWdIzYUKdToV6n9l/wxbXvLQ43OkZsKJZJcdM0jSsGK+or1DhUmo9ro5P4U+84qjUK1JYpkZueivzMQM1ga39Ep8L9xXn4oF2PvcVyotaQdDxWl2UF2j6FNsMEarVKPHpPATxLvgBuPFSmQv/ELL5emMtLN0nzTvKZqj9oc+B7+8rQMhh/vOSDjbwIjxTHkpNWvhJ8Y8yOFx6sgNe37N8LR8pVOKjNx137HMoV2WgzWDn3AhWzn6kuR+fYJC4NWlFXrsLhchWuj03is9tG/M3+MpTIpAH8qNepccc8jT/0jOIbXyvEAyUKzrGiBfp8HNQqcV+BDGPTTlTmZ6JUmRvkF5WLdBuncLxGh87RSbQMmnGkXI19JaH37HqRyBfhAeR9zVXvsd1FuL84Dy0D47hssAW1Y+tTlAxMuT3oGLHh0qAV1RoFDmnz4Vny4aZ5Gg+U5CFTnIrmQTOa9RZUaxQ4qM2HOCUZWRKRX6cjsZcvX0n5OVtfvmXgz/3jK/ulVIkjOjWWsYwl3zLe+WIgKpyzONxo0q/NBzVfBvscqjWKkPGQpC0Xeo24bLD51zEW+zpcbIWL8IDgnODRewrgZcRitnhIb3dsZyFqdijQpLfgssGCJ+4twZ7CXH8fj+4swIEd+WgatODykMXf523LDE59NYIj5SraeUsWUfwlxn9GznmkXI3fdQ6hXJHlrzNsnULH+EzccWwjIFyEJ4AvEvEiPCB+z5mxwHb2HYiu/8JL4zDR29uLXbt2baoNJMTzQSiebdtIxBN3Kfh8PiQnb40vGSwtLSElJWWzzYgKvF4vRCJR6IoxQjxyN5bYrprFBpPJhIKCgs02gzc2+qVxvMHlcsXkN7jDRbzOV7zaBWy87sZzDrteCL5tLrbKS+NQSLR4GAniWSOjDeGlsQC+SNSXxhS20vk/XMRrnhwrRMP/7cmcdcDpdIauJEBAHOPGjRubbULU0NXVtdkmRA3d3d2bbYIAAawYHx/fbBMEcODOnTubbYKABMFWzmEF3wTEAkI8FCBAQCJiK53/w8V2z5Oj4b/w0liAAAECBAgQIECAAAECBAgQIECAAAECBPghvDQWIGCboaqqarNNiBp279692SZEDXv37t1sEwQIYIVUun1+/0vA1odGo9lsEzYNwl4WIGB9yMvL22wTBAgQICBsbOdzZmVl5WabsKmIRt6b8vLLL7+8flO4cerUKbz66qv4+OOP8eGHH+KVV17BwYMH8Xd/93c4deoUzGYzqqurie2XlpZgtVqhVCqJv/lpcbhx9vYY3mjtg3PRg/zMNGRKUgPqGGdcON0zghNtfZhyLUKRmYbstFTe7YGV37IqLCzk9Nc47cTpntGAcZwLHnxMH1sqgW95CWduro2pykrD3ILXb4dv2YdMsQhn6H1JJchOE7OOOzMzg0WxNNBHqQRXhyfwWtPtIL+o+fj9DQN2yDJxrnccv70+BI1MivN9JrzZ2gu7axG5GRK82daH8RkXcV5Cgc+8bUXw4W6sQPHy7Sv9IbkU76B8ead9cMv48lacrUs8cJep2cqsdLgW1zTS7lqAD0DbkAULSz60DJohFqUA8MFB01IuTSchGpplnHHh01ujeLOtF9a5eUjFqfAt+yAVh6+hfDDpdMPmXMTpm6N460ofHPNeSEQpeK3pJkyzbigyJGjWm/HLljuY93ghFYvwya1RvNXWD+eiB7kZEjTrTfigYxAlsgyc6x3HibZeiDNzoMxKg9vjxcV+E1yeJdwYs0GckoI/3uQXn2KJaOUMTGx0HLM43GgcMGHB68P1MTvEKcn++Z12L0KRIcGFvnH85+VeP/evjUxAW6iGTEq+pCgcX7nqkp4F5TyrPFgUpeNcvxlvtPbBseCBRJSCk1/0Q5WVjvN943iT59xPzLlhnHHjzM0RnPyiH44FL2RpYnzea8Qbrb1wLHihZuRPjgUPxCnJeK3xFkyzbuRJJZid9+B0zyj+943RoBwwXrCRumtxuNE27sSJK/0RaSLVB50DzLyV3u/auo3i5Bf9AZyVpYuDePXbTgNKc6U41zeON1tXNVOSisUlH5oGTPhlyx1iHwBgs9mAjOyw9rVp1o3xGRfO9Izi/3QNQyPLxKVBC+a9S7jQN463rvRjwRuolRSXX2u6hUnnfMgxLA43WoesSBWt7We7axHyjJVzwOy81++/JlfKujcSIYemuAuAaCuXvpDOaKQ24eoRW323x4tPb3GXqbLSMONeO8OlS7OQk5aKz+8YOXnGHI+Kr79subPyOV2M873j+NWlO0gGIBWLAuzOzZDgzdZeWBxuXuNFMock0LU7Uq1IFISrua+c/yoGVgmIR/zzsT2bbUIA+HI3Xs+ZsQDl+8mr+m3nO7AWE6KR98b8Iryf/exn2LVrF37/+9/jv/7rv1BSUoLvf//7+PGPf0z8q8FQP/Rtcbhx7OSf0WOa9pdVFshw7sWH/be9GmdcePydi0F1zr5wFKLkpJDtKYS6HMA47cTj7zYG9XXiqRocfuNcQNmnzzdgx7+c8pdd/ttj+OEf2v1tL/zgEbx05lqwzc83sN58ODo1h2++1xRU/9TxOlS8ejrAL69v2T8f9HFIY1J9kOYlFLbTpQp0xMtlYiRekrgUzxB8iQ02m7tsms3USGBlvl5/Yj9eOnPN//8fH6/Ddz5o5qXpJKxXs7hiQbkiK+o3kVscbrgWvax+v/7Efjzy9oWAf5O0/vUn9gMA67MTT9Vg3uvDS2eu4dTxOjzJMlYicJdPzsCGjYxjlE0Uh0nzS60f/fNLZ64RbQ/HV666AFifnX2+gahhbOUkv7jsH7Q5iLjiINEAACAASURBVPuemgsubaC4z5aHnX3hKIpy4udylI3S3Ug5H6oP0ryffeEo7trnOPWaySuSJlG6E4r3w9YpfPt/Wnn7aJxxBdhIjU/1HSoXp3Mr1P4j8f6T5xvwzdV9Qhrn3IsPY6z/dtzn0KEuwuPiIP1MQn9G1JcXjoZXn1DOpgnMMr5nMzoHSL6y6fcjb1/AwE++zcqPU8frMGx3hhwP4DjnEnyPRszYChAuwhPAF4l4EV48nzM3GtvZd4D73WckeW9Mf56ip6cHer0ejz/+OBYXF6HRaJCUlITa2lpcuXIl4n6b9eaACQGAHtM0WgYt/s8X+02sdb4an+LVni8uDrD31T0+hRqNIqCsSW/G+08/CAA4sEOBrvEpf9sDOxTotc6w9tWoN7OO3aS3sNZvHbLi2Wqd//NN0zSaVu2kj8M1JtVHpPMiYHNB4iWJS/EMwZftAaZmMzWSQo9pGn3WGWSkitBnnUF1iQKXhti1MJba1UiIK90sPkQDI/Y5ot991hnUaBT+fz9XoyNq/aBtFlOuBdZnvdaVZ9UaBS4TxkoE7kYz5kcLzXozpGIR9LZZzvml1pL+OSNVRLQ9HF9JdW+aplmfScUiTg3LSBUFlbcOWVnLSfb3jE9x7vsajSKkNlDcZ8vDGgfin6/RQDQ4z+yDa96b9WaYZt2cet0yaEHPavsDOxTQ22aJmjntWgjJ+7a7k2H52G20++2n8l+pWBSgjVx5MZ1bXPuPaz83683YX6LgHKdl0LIlflaEi4PdRjtRR/aXKALKpWIR65kulB79+KGvBZWzaQK9LJyzGZ0DJF/Z9Pvnj1UR+dE6ZEUSlnnxOtw5iUbMECBAQHxjO58zt7PvAPndZ6R5b0y/c3zy5En86Ec/wtzcHDIzM/3lUqkUo6OjIdtT/wWbDrlcjibC4jcOmLA/ZxmZmZloM1hZ65hmXegYmeRsb7fbA8o7OztZ61dWVhLH6TLaoVNkoX3E5i9rNVjx97UrSYxOkYVu49o4zM90tBqs+FaFAnq93l+m0WiIY7cNW7GvWI73O1Y+j0w50T4yETQO15j0PkjzEgqkedsMxPovNti4GytUVVURudFqsOKvqnagu7s7xlZFht27d3P68tTugoS5IXXv3r2cvnzvfi3rTbfbgbtsesalT5S+dhntuL9EjiuGCdZ64WpXpJpVUVHBGQvSRCkwGAxhaygJcrkcbl8G0W96/Oky2rGvWI7rY+xjfzk6GXCIpqNjxIbqkjzsKybPMVt8ohAP3OWTM3Cty0bEMcomnSILnaOTnPPLzCWoz2y2h+MrV92RqbmA3IWCTpHFqWHMnAdYySXYykn2j057Q+77pCSErENxPzgPs+CYJjNkDhoP3I0U6+U8qQ8uTb48ZEV1Cftvv1Lr0DRgxn5Nnr+vzlH2XLzLaEeNRsHJewC4PMxf9zUaDcwOd1D+G04uTucTef9ZQurlvmI5FpeWiOM0Dpiw/wF1xNqzGX+hzLSVi4NNA2bsJ3CFmh/q/AKQdSeUHlHnLTrYNIFeFg4f6Fwk+cqm30/vLcVHN4ZZ67cNW/HdvVrO8ex2O/EMyDUn640ZsUAsubuZ5zQBiYFwNDgeuBvpOXMrgOudXKvBir+oLN7Se57rvSBX3svF25i9NJ6dnYXBYMCBAwcwNzcHp9Ppf+Z0OpGdnR2yD9Kf39dPA+9cDT6gNlQUQKstBQAc0s7i3fbgOgXZGajXifDO1QFie612LWCH+nrqIa2SdZyqIjl+8+VQQFmtVokvR1cSB73Nge/tK/M/Y35mtsvJyQmyg+TjoVIlLg+tEUeTK0VqSjLeuaoPGIdrTHofbPMSCtv15ykobPbPU5B4Watd+R2kRFobLl8yMjK2jC/Jyclx4ctmcZepZ1z6ROnr//tAGa6P2nGoLJ91XsPRrvVq1iGtkjUuVRXJUZIrhVZbEJaGhoLt7gQOatn9psefqiI5OsfsqCqSs/bzQEkectLZf++rWqNATloqzvWN4xBhLFJ82gxEmjOQ1mUj41j9NPCfl3vxN/vL8eXoJHF+mbkE9fkfjnyN1fZwfCXV1eRmIkMsCnqmtznw4oM7iTx4q60/qPxQqRJvXwkuJ8394OI43F5fUH1gzfekJITUBua/1+xUQalUQqlUsrbfLERbdyPlPFcfXJp8uEyJNFEK6zM6Z+WrWqO3OfA3+8uJnJeli6G3OVj70GpLV8a0LYXlo3piAXtWdZDy5XedQ7xzcTqfSGPUT6/8tROXXl4atHKO01BRgIWF+bjQVL5gs5XEwfoKNTLF7MdRan7oIOlOKD2izlt0sGkCvSycsxn9zEnylU2/O0ZsxNh9qFQJH+FXJJmcYzsDcs0JF2fXqxWJCN6a+/vbG2+MgLhEvGowF3cT4Zy5UeDyXSKRbGnfAfJ7wUjz3pj9PMW1a9fw4IMrP8WQmZmJ1NRUjIyMYHl5Ga2trXjggQci7rtOp0ZlgSygrLJAhiPlKv/nozsLWOt8vTCXV3u+OFrB3teewtyA/5JdWSBDvU6NZz/6AgBw9a4NVYW5/rZX79qwS5nD2leDTs06dr1OxVq/tkyJ9zv0/s/3FchQv2onfRyuMak+Ip0XAZsLEi9JXIpnCL5sDzA1m6mRFCoLZLhHmQOXx4t7lDnoGLXhoTJ2LYyldjUQ4soeFh+iAY08k+j3PcoctI/Y/P9+r11P1PpyRTZyMySsz3YpV551jNhwmDBWInA3mjE/WqjTqeFc9EKnyOacX2ot6Z9dHi/R9nB8JdW9r0DG+sy56OXUMJfHG1ReW6ZkLSfZX1mYy7nv20dsIbWB4j5bHtZQEf98jQaiwXlmH1zzXqdToyA7nVOvj5SrULna/updG3SKbKJmyjIkIXl/aEdeWD7uKZL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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Visualising variable transformations.\n",
"\n",
"trans = dat.copy()\n",
"trans['mpg'] = np.log(dat['mpg'])\n",
"trans['displacement'] = np.log(dat['displacement'])\n",
"trans['horsepower'] = np.sqrt(dat['horsepower'])\n",
"trans['weight'] = np.log(dat['weight'])\n",
"trans['acceleration'] = np.log(dat['acceleration'])\n",
"sns.pairplot(trans)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 10. This question should be answered using the Carseats data set.\n",
"\n",
"##### (a) Fit a multiple regression model to predict Sales using Price, Urban, and US."
]
},
{
"cell_type": "code",
"execution_count": 170,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: Sales R-squared: 0.239\n",
"Model: OLS Adj. R-squared: 0.234\n",
"Method: Least Squares F-statistic: 41.52\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 2.39e-23\n",
"Time: 11:06:16 Log-Likelihood: -927.66\n",
"No. Observations: 400 AIC: 1863.\n",
"Df Residuals: 396 BIC: 1879.\n",
"Df Model: 3 \n",
"Covariance Type: nonrobust \n",
"================================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"--------------------------------------------------------------------------------\n",
"Intercept 13.0435 0.651 20.036 0.000 11.764 14.323\n",
"Urban[T.Yes] -0.0219 0.272 -0.081 0.936 -0.556 0.512\n",
"US[T.Yes] 1.2006 0.259 4.635 0.000 0.691 1.710\n",
"Price -0.0545 0.005 -10.389 0.000 -0.065 -0.044\n",
"==============================================================================\n",
"Omnibus: 0.676 Durbin-Watson: 1.912\n",
"Prob(Omnibus): 0.713 Jarque-Bera (JB): 0.758\n",
"Skew: 0.093 Prob(JB): 0.684\n",
"Kurtosis: 2.897 Cond. No. 628.\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
}
],
"source": [
"car_dat = pd.read_csv('carseats.csv')\n",
"car_dat.head()\n",
"\n",
"form = 'Sales ~ Price + Urban + US'\n",
"est = smf.ols(formula=form, data=car_dat).fit()\n",
"print(est.summary())\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (b) Provide an interpretation of each coefficient in the model. Be careful some of the variables in the model are qualitative!\n",
"\n",
"*Intercept*: \n",
"- coeff: 13.0435, t-statistic: 20.036, p-value: < 10^-3 sales=13.0435 when urban=No and US=No and Price=0, this is the baseline case.\n",
"- p-value indicates this coefficient is statistically significant\n",
"\n",
"*Urban[T.Yes]*:\n",
"- coeff: -0.0219, t-statistic: -0.081, p-value: 0.936\n",
"- Represents the difference given Urban=Yes; when Urban=Yes there are 0.0219 fewer sales.\n",
"- p-value indicates this coefficient is NOT statistically significant.\n",
"\n",
"*US[T.Yes]*:\n",
"- coeff: 1.2006, t-statistic: 4.635, p-value: < 10^-3\n",
"- Represents the difference given US=Yes; when US=Yes there are 1.2006 more sales.\n",
"- p-value indicates this coefficient is statistically significant\n",
"\n",
"*Price*:\n",
"- coeff: -0.0545, t-statistic: -10.389, p-value: < 10^-3\n",
"- For every incremental unit of price, there are 0.0545 fewer sales\n",
"- p-value indicates this coefficient is statistically significant\n",
"\n",
"\n",
"##### (c) Write out the model in equation form, being careful to handle the qualitative variables properly.\n",
"\n",
"- y = b0 + b1 * Urban[T.Yes] + b2 * US[T.Yes] + b3 * price\n",
"\n",
"i.e:\n",
"\n",
"If Urban and US: y = b0 + b1 + b2 + b3 * price\n",
"\n",
"If Urban and not US: y = b0 + b1 + b3 * price\n",
"\n",
"If not Urban and US: y = b0 + b2 + b3 * price\n",
"\n",
"If not Urban nor US: y = b0 + b3 * price\n",
"\n",
"##### (d) For which of the predictors can you reject the null hypothesis H0 :βj =0?\n",
"\n",
"- Intercept, US[T.Yes], Price\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (e) On the basis of your response to the previous question, fit a smaller model that only uses the predictors for which there is evidence of association with the outcome."
]
},
{
"cell_type": "code",
"execution_count": 172,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: Sales R-squared: 0.239\n",
"Model: OLS Adj. R-squared: 0.235\n",
"Method: Least Squares F-statistic: 62.43\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 2.66e-24\n",
"Time: 11:10:11 Log-Likelihood: -927.66\n",
"No. Observations: 400 AIC: 1861.\n",
"Df Residuals: 397 BIC: 1873.\n",
"Df Model: 2 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Intercept 13.0308 0.631 20.652 0.000 11.790 14.271\n",
"US[T.Yes] 1.1996 0.258 4.641 0.000 0.692 1.708\n",
"Price -0.0545 0.005 -10.416 0.000 -0.065 -0.044\n",
"==============================================================================\n",
"Omnibus: 0.666 Durbin-Watson: 1.912\n",
"Prob(Omnibus): 0.717 Jarque-Bera (JB): 0.749\n",
"Skew: 0.092 Prob(JB): 0.688\n",
"Kurtosis: 2.895 Cond. No. 607.\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
}
],
"source": [
"form = 'Sales ~ Price + US'\n",
"est = smf.ols(formula=form, data=car_dat).fit()\n",
"print(est.summary())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (f) How well do the models in (a) and (e) fit the data?\n",
"\n",
"- The RSE for the models in (a) and (e), 2.469, which represents 32.941% error.\n",
"- The R-squared score for the models in (a) and (e) is 0.239.\n",
"- We can interpret this as 23.9% of the variance in Sales is explained by price and US.\n",
"- The r-squred score and RSE are unchaged by removing the US variable which is strong evidence that this variable does not contribute to explaining the variance in the dependent variable.\n",
"- The F-statistic increases from 41.52 to 62.43 when one removes the US predictor - which we can interpret as..? Even more confident a relationship exists?\n",
"- How 'well' the model fits depends on the context - in this domain is 33% error acceptable? are we pleased to be able to explain ~24% of the variance with the predictors?"
]
},
{
"cell_type": "code",
"execution_count": 175,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"RSE = 2.469, which represents 32.941% error\n"
]
}
],
"source": [
"# \"Residual Standard Error\"(RSE) = \"Standard Error of the Regression\"\n",
"# \"Residual Sum of Squares\" (RSS) = \"Sum of Squared Residuals\"(SSR)\n",
"# \"Residual Standard Error\"(RSE) = \"Standard Error of the Regression\" = sqrt(scale)\n",
"\n",
"rse = np.sqrt(est.ssr / (car_dat.index.size - 3)) # = np.sqrt(est.scale)\n",
"per_error = rse / car_dat['Sales'].mean() * 100\n",
"rse = np.round(rse, decimals=3)\n",
"per_error = np.round(per_error, decimals=3)\n",
"print('RSE = {}, which represents {}% error'.format(rse, per_error))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (g) Using the model from (e), obtain 95% confidence intervals for the coefficient(s)."
]
},
{
"cell_type": "code",
"execution_count": 177,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
0
\n",
"
1
\n",
"
\n",
" \n",
" \n",
"
\n",
"
Intercept
\n",
"
11.79032
\n",
"
14.271265
\n",
"
\n",
"
\n",
"
US[T.Yes]
\n",
"
0.69152
\n",
"
1.707766
\n",
"
\n",
"
\n",
"
Price
\n",
"
-0.06476
\n",
"
-0.044195
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" 0 1\n",
"Intercept 11.79032 14.271265\n",
"US[T.Yes] 0.69152 1.707766\n",
"Price -0.06476 -0.044195"
]
},
"execution_count": 177,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"form = 'Sales ~ Price + US'\n",
"est = smf.ols(formula=form, data=car_dat).fit()\n",
"est.conf_int(0.05)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (h) Is there evidence of outliers or high leverage observations in the model from (e)?\n",
"\n",
"- In the eyes of ISL, there are no outliers as the studentized residuals are all < 3\n",
"- In the eyes of ISL, it is not clear how much leverage is significant - there are points that have leverage greater than 2 * (p + 1) / n : these are deemed significant by the statsmodels library.\n",
"- (see comments in code below)"
]
},
{
"cell_type": "code",
"execution_count": 178,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"expected leverage: 0.0075\n"
]
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 178,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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LdhmtcvoS8A0YTn7lvoQ3b948+vXrR1ZWFnl5eXz00UdceOGFnHfeedx9993U1NREsWIRERHpDBTwRCSmRSIRZs+ezdlnn83YsWOZOnUqFRWNi6bU1tYyffp0zjzzTM4880ymTZvW/BxA2LLxx/iG4nXBMAB/+tOfWLx4MXfeeSc7d+4kHA7jcrn4wx/+wIwZM1i+fDlTp06NcrUiIiIS6zQHT0Ri2uzZs3nttdd46KGHSE1NZfr06dxzzz3MmTOH3/zmN+zYsYO//OUv2LbN//3f/3HXXXfxxBNPABCKWFgxvtVc2LJ44oknmDNnDnfffTcTJkwAYOnSpaSlpQEwdOhQ0tPTueKKK9ixYwf9+/ePYsUiIiISy9SDJyIxq7a2lmeffZZ77rmHcePGMXToUKZNm8bmzZsJhUK8++67/OhHP2LYsGEMHz6ca665ho8++qj59U6HwRF766u0sOrl+Tz22GPMmDGDyZMnNx/fG+72GjhwIABFRUUdWp+IiIh0Lgp4IhKzVqxYgcPh4Mtf/nLzsTPPPJOFCxfidrtJS0vj9ddfp6amhtraWt544w1GjBjRfK7H6cDljN2PuaqP32TzewuZNWsWV111VfPxhQsXkpOTg9/vbz72+eef43A4tPCKiIiIfKHY/ZePiJzwdu7cSc+ePVmyZAkTJ07k3HPPZfr06c2Ljdx33318/vnnnH766YwdO5bc3Fwefvjh5tcbY+iRFBet8r9QsDiPmuWLyLn4Ms455xxKSkqav8444wycTifTp09n27ZtLF26lDvvvJPLL7+crKysaJcuIiIiMUwBT0RiVl1dHcXFxTzxxBPcfvvtzJ49m/Xr1/OrX/0KgNzcXAYMGMD8+fOZP38+SUlJ3Hrrrdj2vol32akJ0Sr/C/m3rgHbZukb/+Kcc85p8VVaWspf/vIXKioquPLKK5k6dSrjx4/n7rvvjnbZIiIiEuO0yIqIxCyXy0VdXR0PPPAAQ4YMAeC3v/0tl112Gbm5ucycOZOFCxfSr18/AB577DEuuOACli1bRk5ODhC7AS/lrEvImjCRV675Mh6Xs9Vz5s2b17FFiYiISKenHjwRiVl7hyPuXWAE4KSTTgJg48aNxMXFNYc7gN69e5OWlkZeXl7zsdG90ojE6FKafVPjDxnuRERERI6FAp6IxKzTTjsNgPXr1zcf27JlCwDdu3envr6e/Pz85udKS0uprKykb9+++66R3Y0B6YkdVPGRs2ybcf0zo12GiIiIdDEKeCISs7Kzs7nwwguZPn06q1atYt26dc17xY0ePZoRI0Zw6623sm7duua5eSNGjGDs2LHN1zDGMP7k7lh2bPXiJXndXDmqf7TLEBERkS5GAU9EYtoDDzzA2LFj+elPf8qPfvQjBg0axEMPPYTT6WTu3Ln07t2bn/zkJ1x33XVkZWUxd+5cHI6WH23fHdOfRK87SnfQupx+GcR7NA1aRERE2pb+dSEiMc3n8zFjxgxmzJhx0HMZGRk89NBDh71GvMfF+YN68Nq6PBwm+jufx7mcfO9LJ0W7DBEREemC1IMnIieEG84eTN+06K+oadk2l5/ajwHdYm9eoIiIiHR+CngickLwuJzcdO5QHI7o9uAN657KNTknR7UGERER6boU8ETkhHFadjcmDs8mYltRaT/R6+KW84ZiYmCYKIBt2y02hRcREZHOT3PwROSEcsM5gyn3B3h38x6cHdib53M7ueurp3JSt+QOaxMaQ1xxTQNLd5awvbyW/Mp68irrqA9FCFsWtg1upwOf20mflHj6pCbQPz2BnL4Z9EqJj5kwKiIiIkdGAU9ETji3nzcCgHe3FOI07T+QIcHjYtr5wzm9b0a7t7WXPxTmxTU7eW9bEVtLazBwyAVmQhGL+mCYsroAawoqsGybR204uVsi557Une+O6a8VP0VERDoJ/cUWkS4rHLH496YCNhRVkVdZR35VPbWBMLYNxtjUBSOU1tXjcTpI9rpJinPTlv1Vtm3TKyWeX583nNG909vwyoe2vayGF1bv4OMdpVQ3BHEYg/Moe+EcxuAwsLOiju0rtvHS2l2c0TeD74zux+CslHaqXERERNqCAp6IdDlF1X6eX72dj7aXUFTTcMihmMleNw4b8qrqKa7xE+9xkerzkJUYd9zbKRgDXxvcmykThuJ1OY/rWkfCsmz+vGwrL3+2k0C4cY5hW2wJ4TCG+mCYJVv38MH2Yr41vA8/HXcKLqemcIuIiMQiBTwR6TJs2+bZFbm8sHoH/mAYY8xh59klxrkZ7E2moKqeCn+Igqp6yuoD9E6OJ9XnOeoaLNtmcFYy15wxkJx+mcd6K0dlS0k1Dy9Zz4aiqnadVxiOWLy4ZierdpczZfxQRvRMa7e2RERE5Ngo4IlIl7C7so5Z/1nHuj0VOI3jqBYHcRhDn9QEeqXYFNc2UOkPsr2sllSfm37piYftCbNsG5/byRl9M5g4Ipsxfbod7+0csRdW7WD+8m0EwpEOWTTGYQzby2r59WsrmTSmP1efMbDd2xQREZEjp4AnIp3elpJq7np7NaW1Dce1aIrDGHok+eiR5KM+GKaqIYg/FOHUnmmU1QcIRixs28blNCS43fROjadvagInNS1GkhTnbsO7OryXt1bwUVlZm84bPFKhiMX85duoaghy07mxs/WDiIjIiU4BT0Q6tZ0Vtdz51irK6gJtet14j4t4jwvbtnE7Hfz9B+d2yFy6I/WnjzezcEcVKUlJUavBYQyvrM3DtmHKhGFRq0NERET20Sx5Eem0whGL3yxa0+bhbn/GGDYUVfK7d9e1WxtH6++f5vL8qh0x8QHuMIZX1+XxzNIt0S5FREREUMATkU7syY82sb2stt3bMcawZGsR/91a2O5tHc7nhZX8bUVuVIZlHorDGF5YtYPleaXRLkVEROSEp4AnIp3SusIK3lyf3yZbARwJA8z9aDP1wXCHtNeacMTikffXE2raBiGWWLbNnPc3EAhHol2KiIjICU0BT0Q6pedX7SAcsTu0zeKaBl5YtaND29zf3I83s7W0JmrtH05+ZT2P/W9jtMsQERE5oSngiUinU1bbwIq8sg5v1xjD/3KLsO2ODZYA6/dU8noH9lgeC4cxLNpYwAoN1RQREYkaBTwR6XSeX72TYJSGAm4vr+WjHSUd3u4Lq3fE5NDMA1m2zT9W74x2GSIiIicsBTwR6XS2lFZHbd81hzGs7ODew8r6AMt3dZ5esVW7yymoqo92GSIiIickBTwR6VRs22ZXRV1Ua9hV2bHtP796Bw2hzrN4SSRi8cLqHdEuQ0RE5ISkgCcinUpeZR1ldQ1RrWFXRV2HzcOzbZsPcosP6rGs+uh1qv/xYPNjq6GO8oXzKZh7OwXP3EnVx29i29EZ0mmM4eMdxYQjsT+kVEREpKtRwBORTiW3rBYT5V3gqvwhIlbHBLx1eyoP6rEMFu2iZuU7LY6VvvEMwdLddPvmT+h2yY9p2PYZVR++1iE1tqaopoEPdxRHrX0REZETlQKeiHQq9aEw0V5IMmLbBDuod2pVfjkux74btiNhyhcvwNPzpOZjweI8gru3kv61H+DtdRLeHv1JvWAStavfwwoFOqTOA7kcDjYWVUelbRERkROZAp6IdCoeR/Q/thyGFqGrPe2qrGsxPLP6k4W4UjOJHzS6+Vi4qhTjcuPJym4+5snsDZEwoaJdHVJna/KrojtXUkRE5EQU/X8piYgchR7Jvg4bHnkoPrcTt7NjPj7z9lvQJVi0i7p1H5J23ndbnOOMT8IOh4j4a5uPhavLAVoc62h5UV4MR0RE5ESkgCcincrgrBSS4txRrSE7JaFDtmkIRyx2VzZuN2BHwlQs/n+knHMpzoTkFud5evTHlZJJ5X+ex2qoJ+Kvo+r9l8HhgEj0Vt8sqPZTHwxHrX0REZETkSvaBYjIiW379u3MnDmTTz/9lISEBC699FJuvvlm3G43q1atYtKkSS3Oj4+P54w7nmRraQ3hmgqq3n+JQP4WcDiI6z+c1HMvwxEX3641Z6cltOv19/KHIvibtkeoXrYQZ2IqCcNyDjrPOF10u+R6yt7+KwVzb8e4PSTnfINgcR7GE9chtbbGHwpT3RAi3qM/NSIiIh1Ff3VFJGpCoRDXX389o0aN4qWXXqK4uJjbbrsNl8vFlClT2Lp1K6eccgp/+ctfml/jcDj406oCthRXUfbG0zjiEsj49o0QCVHx339Q/u9nyfjWT9utZsu2GZSZ1G7X318wYhG2bVzGUL9xOZG6anY/eQsAtmVBJMLuJ28hY+LP8fYeSI8f3EmkvgaHJw7btqj64BVcKd06pNbWWDYEwp1n/z4REZGuQAFPRKKmqKiIkSNHcu+995KYmMiAAQO48MILWb58OQBbt25l4MCBZGZmtnjdJcMdvPG/TwgV59Hz+vubhyymTriCkn/+AStQj8PbPr14afFeLhnWp12ufSDLtrFtwEDm5TeDtS8s1W1cTu3aD+l+5RSM20PxP/9A+td/hCs5HQD/ppU4EpJxpffokFpbYyDq8yVFRERONJqDJyJR06dPHx555BESExMB2LhxI++88w7jxo0DGgPegAEDDnrdyJ5pDDu5PxkTf37QfDQAK+Bvt5rH9c/A43K22/X353E6cDXN9XMlp+NKzWz+cvoSwOFo/DkhBTscpvL9fxGqKKZh5wYql/yT5JxvdMhcwUMxBnyejvldiYiISCP14IlITLj44ovZunUrw4cP5+qrrwZg27ZteL1evvWtb1FRUcHpp5/O7bffTlZWFhNPG8LWmpbD/2pX/RdXSiau5PYZluh2OfjOqP7tcu3WxLmdeFwOQkew5163i66h4t0XKH7udzh8SSSfeRGJI8/pgCoPze1w4nPrz4yIiEhHUg+eiMSEBx98kHnz5hEIBLjhhhuoq6ujsLCQYDDIzJkzeeihhygoKOC6664jFApx8bDefKnPviBXvWIx/m1rSPny5e1SX8SyuWxkX/qlJ7bL9VvjdTnpkdT6IimJoyaQ/J3bmh+7UjLIvOwGev9iNj2vmUHiqPEdVeYhZSV5SYnyiqciIiInGv3XqojEhOHDhwMwa9YsrrzySnbv3s2KFSvw+Xy4XI0fVY8//jjnnnsuy5Yt4+yzz+a284bz0xeXsvu916le+iapX74SX//h7VLfkO7JXJ8zsF2u/UWy0xLIa9oqobPpk9ox20mIiIjIPurBE5GoKSoqYvHixS2ODRo0CICKigqSkpKawx1ARkYGqampFBUVAdA92Uf39YupXvoWqed9t916rdLiPUw7fwROR8d/ZGandsyWDO2hbyeuXUREpLNSwBORqMnNzeXGG2+ksLCw+djatWtxOBzExcUxZswY8vPzm58rKCigvLyck08+GYBHH32U9998me/88tekjD63XWpM9bmZ8fVRDOjWMVsjHGhIVgph6/Bz8GKNZduc1K3jhrOKiIhIIwU8EYmasWPHMmTIEKZNm8bmzZtZunQpd911F5MmTWLo0KH06NGD6dOns3HjRj777DOmTJnCWWedxahRo1i/fj1PPfUU1157LTdNmsiPR/XEF6onUleNbR3/3muWbdMrxcesi7/EiJ5pbXC3xyanXwZp8d6otX+sfG4n40/qHu0yRERETjiagyciUeN2u5k7dy73338/kydPxul0MnHiRG655RY8Hg9PP/00DzzwAD/84Q+xLIsLLriA6dOnA7Bo0SIsy+KZZ57hmWeeaXHdjO/dTlxm72Ouy2EMXx/Si5vHD8XbQVsiHIrX5eTMfhks3lR4+JNjyBl9M0j2eaJdhoiIyAlHAU9Eoqp79+7MmTOn1ef69OnD448/3upzU6dOZerUqQcdt22bV9flsXBjAZuKq3Ac4SIftm3jdDoY0zudK0f34/TsjCO/iXZ2xan9OlXAs2ybS0f0jXYZIiIiJyQFPBHpUowxXDqyL5eO7Mvq/HLe3JDPjvJa8qvqqQuEcTkMxhhs2yZi26T4PPRNSWBgZhJXjupH7xhcGGRgZjIje6axtrAi2qUckcFZKYzukx7tMkRERE5ICngi0mWN7pPeHDQC4QjrCisorG4gFIngdTs5KT2JQZlJUVkd82hdMrwPaworOmTitG3b1Ici1AZCWLaNbYMCSetZAAAgAElEQVQxjeHZ63SSFOfCdYjfmWXbfH1Izw6oUkRERFqjgCciJwSvy8lpMTTs8mh95ZSe/GdzIZ/sLGnzveVs26a6IURlQ5BAyKIhEiFs2RjbPqgtu+mY1+XA63IS73aSmejD6Wg8b3TvdA3PFBERiSIFPBHpdILhCJ/vqWLtngoC4QgGSPJ6GJudzoD0JByOrrm59q3nDefH//iYSn+wTa4XsWyKa/1U+kP4w5EWvYMOaOy2O8DewBcIWwTCFlX+ICV1AZLi3PRLi+fW84Zrc3MREZEoUsATkU7BsmwWby7g35sK2VBcRV0g1GKYoG3bPGHZdEvwMrp3OhOHZ3e5eWDpCV6uzRnIQ0vWtwhjoYpiKt97kWBBLsbtJWHoGSSPuwTj3LcCqG3blL76R3wDhpNw6ngKq/2U1geIRCx8Wz6m29alOAJ+Qhl9qf3SN7ESUo+oJmMMEcumoj5IvMvJ7CXrmTphKH1icC6jiIjIiSD2J56IyAlv2c5Srn3+I2b9Zy2rd5cTCEUOmgNmjMHtdFDdEOL9bUVMfXUFU19ZTkFVfYfWun37dq677jrGjBnDOeecw0MPPUQoFAIgFApx7733kpOTQ05ODg8++CCRyNHt2XfxsD5MOCkLy7YBsCMRSl95EofXR9ZVt5H+jaup37SC6mVvN7/Gtiwq//sPAjs3EAxbbC6ppqjGj2XZ+HKXE7/+v9SN+gaVF/wEsEla+sJR1WQDyXFuMpN8rN5dzi/+9QnPr9qO3VSjiIiIdBwFPBGJWZZl84f31nPnW6vIq6zDaY78I8th4LOCCn7+4lJeXburHavcJxQKcf3115OSksJLL73E7Nmzef3113niiScAePjhh/nggw+YO3cuf/jDH3jttdeYO3fuUbdz11dPZUyf9MaVQOsq8XTvS9r5k3CnZRHXZxC+QWMI5G8FIFxVSsmLj9KwYz14fJTUNeAPRRqHUdo2vg3vUz/sPIK9hxJJzqR2zMU4AnU4/NVHVIsNJHhcDEhPZO/AzLpAmLkfbWbKK8spqfEf9f2JiIjIsVPAE5GYZFk2dy9czatr85p7q45FbSDMnP9t5NkVuW1YXeuKiooYOXIk9957LwMGDCAnJ4cLL7yQ5cuXEwgEeO6555g2bRqjR4/mrLPO4pZbbmHBggVYlnVU7bicDh64+Euckh6HIymdbhddi8PrAyBYko9/22fE9R3c+LhwO660LIIX3UDE5WX/X6WzugRnQw3B7BHNx6zEblRc9CssX/Jh69gb7k7OSDpov0GHMawtqGDqqyvIq6w7qvsTERGRY6eAJyIx6ff//ZwPcoubV2c8XvOXb+P1z/Pa5FqH0qdPHx555BESExMB2LhxI++88w7jxo1jw4YN+P1+zjjjjObzx44dS1lZGbt2HX0Po8fl5KYxPTh7QBaW1Zja9jx7P8V//x2OuHgSx5wHgG/wWKpOm0h52HnQNZx15dgOF47aClLefZr0N35P0sfPH1HvnQ0ked0MzEjCeYhFVYwxFFb7ufW1FeQr5ImIiHQIBTwRiTnvbd3DvzcVtFm4g8ZFRv6ydCvFHTRk8OKLL2bixImkpKRw9dVXU1RUhM/nIykpqfmczMxMAPbs2XNMbbgchvu+MZqfnz2YBK+L9K//kIzLfokdDlH2+tMA5FXVU1kfaHVlSxMKgG2T+Olr+IeMp3rcVZhQgOQPFoB16LmBDoehZ7Kv1Z671pTUBrj9jU8pq2s4pvsUERGRI6eAJyIxJRCO8MePNrfLtasagsxesr5drn2gBx98kHnz5hEIBLjhhhvw+/14vd4W53g8HgCCwWPf9sAYw3fG9GfulWcydsypePqcQvpXJxPI30xJ/g7K6loPdwC2w4mxI9SP/CrBXoMJd+tDTc4VOKuKcZfsOPh8IN7jYlBmMj2SfBxN/C6oqueB/3yuhVdERETamQKeiMSUF9fspKidetmMMazIK2Nb6ZEtIHI8hg8fzrhx45g1axZLly6loKDgoCC397HP5zvmdoqKili8eDE9k+N5+FtjuXH8EE46eSAAZWXlXxjCrLjG3sRwclbzMdubgO2Nx1Ffue8YjRvF90qJZ1BmMj7XwcM9D6fxd1/KK+s6ZsEbERGRE5UCnojEDNu2WbJ1zxEN+zse/1yzs12uuzds7W/QoEEAuFwu6uvrqa2tbX6upKQEgO7dux9zm7m5udx4440UFhZijOHbp/bjF0MSwBjc6T0wxnCoPrNwWg9spxtXRUHzMdNQiwnUE0lIB2NIinMzID2RId1T6J4Yd1S9dgdyGMPfluV22DBZERGRE5ECnojEjIKqejaX1LR7O58VVB7+pGOwf9jaa+3atTgcDi6++GJ8Ph8rV65sfm7FihVkZGTQt2/fY25z7NixDBkyhGnTprF582aWLl3Kr2+/g4SR53Bydi+Gdk+hV7KPtHgvxjT2pFk09srZLi/+k88g4bNFOIu24a4pIXXFy5DanW4nDWFoVgond0si1ec5rmC3v6qGIH94f0MbXU1EREQO5Ip2ASIiey3dWYqzfTvvANhT7aeiPkBavPfwJx+F/cPWXXfdRXl5OXfffTeTJk2id+/eXHHFFdx77708+OCDBINBZs+ezQ9/+MPjatPtdjN37lzuv/9+Jk+ejNPpJHVEDu5RXwfA43TQPalxCGihw0Faig9XVgrBSATLBmv8pURW+nCteBlCAbzZp5B60Q9xJSUc9++jNXuHye6urKN3avu0ISIiciJTwBORmLGrsu6QC4K0JRubZbtK+fqQ3m163dbC1sSJE7nlllsAuPXWWwkEAvzkJz/B4/Fw2WWX8eMf//i42+3evTtz5swBYHt5Ddc//3GrPW49r/1N888+937z6MZPbPzqIJGIxQurd/KrLw/rsDZFREROFAp4IhIz6oLhDmnHYQyV/lC7XHv/sHUgr9fLfffdx3333dcubQO8uLp95he2JWMMH+0o4caIhdupmQIiIiJtSQFPRGJOqKKYyvdeJFiQi3F7SRh6BsnjLsE4nVgNdVQueZGGnRvA6SRh+Fkkn/kNjGkMCoHC7ZT84+EW1zNuD71/MbvFsa64XH84YrF0Z2m0yzgipbUNvLk+n0tHHvv8QxERETmYAp6IxIx4jws7EqH0lSfx9OhH1lW3EamromLR38DpJGXcJZS+8QxWQx3dvvkTcDiofOc57EiI1HMuBSBcVoi7Wy8yLrth34UPGPZp2TYpPndH3lqH2FJaTUltQ6foFXM6DBuL23+7ChERkRNN7P8rQEROGNkp8YRrK/B070va+ZNwp2UR12cQvkFjCORvJVicR3D3VtK/9gO8vU7C26M/qRdMonb1e1ihAACh8j24uvXAmZC87ys+qUU7NnB6dkYU7rB9fZpfjsvRAavUtJH8irpolyAiItLlKOCJSMw4PTsDk5ROt4uuxeFtXPkxWJKPf9tnxPUdTLiqFONy48nKbn6NJ7M3RMKEiho30A6V78GVmtXq9ffqnhRHRmJc+91IlOyq6JhFatrKrso6LKvrDZUVERGJJg3RFJGY0S89gZO7JbGzqWdnz7P3Ey7fgzsrm8Qx5xEqyccOh4j4a3H6EgEIV5cDEPE3biAeLtuDcboo+n+ziPjr8PY+mdTx38aZkNLczsieaR18Zx0jr5P1iFU2BNlaWs0pWSmHP1lERESOiHrwRCRmGGM49+TuWE0LoKR//YdkXPZL7HCIstefxtOjP66UTCr/8zxWQz0Rfx1V778MDgdEIljBAJHaCuxImLQLvkf6hT8iUlNB6ctPYkciQOMWCd/uogt7VPiD7XJdy7apaQhRXNvAnho/e2r8FNc27iUYtqxjvq7TGLaVtf/G9iIiIicS9eCJSEz57uj+vLl+NxX1geahmOlfnUzxC7Mp/tccfING489dS8HcaS1eV75ofvPPvkFj8PToB4D74usp/PNdBPK3ENdvCKN6pTOsR2rH3dBxiFgW6worWV1QTl5lPbur6qkPRghbFm6Hg7qqCkaVf0bf1ATG9EknFDn2sLU/y7YpqwtQGwwTCEcIhC0iloXjgOGftm1jHAaP00Gcy4nP7SQjwYvb6TzElVsygD8UaZOaRUREpJECnojElJqKMk63C1lkpzXPJ3Om9QAgVLidhMGn0eMHdxKuqQDLwrZtiub/hozLb8a/aTkNeZuJHzi6+XrOhGQccQlE6ipJ8Lj41YShUbmvo1Fc4+f51Tv4aHsJBdX1uIxpdW5dTU2A8i17sG2bZ5ba7Civw+dx0j0x7phW0mwIRyipaaAqECQUtlq0eWC4g8YeV2wIhi2CYYsqf5CS2gBJcW4yErwkeb94pVJjTJfcrkJERCSaFPBEJKbk5uby19/NoNeIsRRsWQ/G0BwBPHHUfPouDfnbCO7eAoArrTuO+CSMy03d5x9jnC6sQH3zIi3h6nIsfy2utO58f+xJZKclRufGjkBFXYA/vL+eT3aVNgcst+PwQc0Yg9tpCEQi1NaGKKsLkBznJjs14YhW1bRsm7zKOir8QWzLxhwiUB5JHZZtU+UPUukPkuh1kZ2aQJyr9R4927bxHOI5EREROTaagyciMWXs2LH4fD7Kt65j5Ld+gKffUOyGOlzdeuL0xmPV1xLI20jqBZNIyvkGwcLtOOKTqf7wNeIGjsaZlE7F4v9HsGQ3wT07KH/7r3iyB/P9b3yZ74zuH+3bO6S31udz/T8+5oPcYsIR+5gCltMYDI3BqdIfZFNxFeX1gS98TVVDkI3FVZTXBcCmzVbhNEBdIMzmkmqKavyt9tRFbJtu8d42aU9EREQaKeCJSEzZvHkz9fX1jB49mu0L/46dvxHfoDGEK4qxbRvbiuBMTKNi0d+o/fRd4oecTqSymED+FlLGXULGpT/HeH2U/GsOJS8/iSe9Ozf/33387KzBR13Lnj17uOmmm8jJyeHss8/mjjvuoKqqCoCCggJ+9rOfcdppp3HBBRewYMGCFq8tKirixhtv5PTTT+ecc85h5syZNDQ0HNRGOGJxz9ur+f2S9VT6g8cVsDyufR/pBghFLHZW1LGjvJYD45Xd1Gu3vayW4AHDMduSZdkUVPvZWlZD+IA5gh6Xk1G9uuaKpiIiItGiIZoiElN27dpFXFwc8+bNaz729todTLni6xAJ4/DE4UpKI+vKKQCUL5yPccfhze6HO61x/7uMS35MxLIZ1iOFqROGMSgz+ajriEQi/OIXvyAtLY358+cTDAaZMWMG06ZNY86cOVxzzTVkZGSwYMECKioquOOOOzDGMHnyZACmTp1KYmIizz33HJWVlUybNg2Hw8H06dOb2wiEI9z2+ko+K6hodY7b0YpzOakh1OKYoXF1zXBpDSd3S8KYxnC3o6KWyvrjC5RHygC1DSG2ltVwcrfE5kVYeif7SDjMPD0RERE5Ogp4IhJTMjMzaWhooLy8nPT0dABOiW9caTHO7SB92BkUfLacgqcaV9F0pnTDCgWIH3oGoYhFvMfF6N5pfGNIb8af3P2YA8yGDRv4/PPP+eCDD8jMzATgzjvv5Hvf+x5Llixh9+7dLFiwoPm52267jQcffJDJkydTVVXFypUref755xk4cCAAV155JW+++Wbz9cMRizve/JS1bRTuAHxuZ+PKlgdczwA1gRC55TUMSE9kZweGu+YajMEfDLO1rJZB3RJxOZ30SU3osPZFREROFAp4IhJTTj31VPr168c999zDzJkzsSyLBx54AJfLhdfpYGSah6xhp3DuZZMpqK7n3399nKrqED+69CK+1L8no3qn4W2DhTt69+7N008/3RzgYN/8tF27dpGdnd3iuSFDhrBnzx52795NRkYG8fHxvPTSSwwbNoyamhoWL17M8OHDm89/7IONrMovb7NwB5Ac5z5kaDNAdUOI9UWVB62Q2VGMMTQEw2wrr2NQt0T6pingiYiItDXNwRORmOLxeHjsscfIzc0lJyeH888/nzPPPJOUlBQsy2LhwoU88Nvf8osrLmLmtVdw2UVfB9tmTFw9Z/TLaJNwB5CWlsb48eNbHJs3bx79+vUjIyODsrIyQqF9wyF3794NQHl5OV6vl3vvvZe3336b0aNHc/bZZ2OM4e677wZgRV4pb23Y3abhDsDlcJDoPfT/24UjFpX1Qdpmt7xjY4yhPhCiqC7AJcP6RLESERGRrkkBT0RizuDBg3nzzTf58MMPWbp0KVdddRVlZWVYloXL5aJfv37N5xYWFuL1esnLyyMcsSisrmdHWQ2F1fVErLaLMn/6059YvHgxd955Z3PwmzVrFn6/n8LCQh5//HGA5tC3bds2xo4dy3PPPcfcuXOprKxk5syZBMMRHvvfRiyrffZ/S4/3trpipW3bBCMWGEMgbB206EpHMsYQCEWoDYQOf7KIiIgcFQ3RFJGYUlVVxc9//nN+//vf07t3bwDefPNNMjMzsW2bmpoa8vPz6dOnsfdnR95uAoEA/8ytYd5f/ktVQxDLBoeBtHgv2SkJDMxI4rtj+tMrJf6YanriiSeYM2cOd999NxMmTADgscceY9q0aTz33HMkJydzyy23sGbNGhITE1m6dCnz58/n/fffJykpCYCEhAS+//3vkz7uG+yqqG/z3ru90nwe9ridBMMtw20gbGE1zc+L2DahiIXnGDZDbws2kOLz8PB763ny8jNxHMFefSIiInJkFPBEJKakpKQQCASYNWsWv/71r8nLy+Pee+9l6tSpXHnllXznO9/hxhtvxHY42bxpE5FIBEd8MsVxWThCEZwBP+UvPkK4oohiYFt6D9ZediNvbdzNsETwf/QKa1auwOVy0a1bN6qrq1myZMkh67n//vt59tlnmTFjBldddVXz8ZycHJYsWUJxcTFpaWns3LkTp9NJr169eO+99+jdu3dzuAMYMWIEAB+s2Ygjvd9B7bQVYwwpcW6Kaxqa59lFLIuwtW/enQHClo3b2fhzR4tzOUn1edhYVM2b6/P55ojsKFQhIiLSNWmIpojEnEceeQS/389ll13GjBkzuOmmm5g0aRJOp5PHH3+cLdty2bhhA5bDhbf3yWAMNcsXAVDyr0cIV5eR9tXvk3redwhXFlP28hwi4Qj/mfs7Vmwr4Id3PcCvf/1rNm3aREVFxSHrePTRR1mwYAGzZs1qEe62bdvG5MmTCQQCZGVl4Xa7effddxk5ciSJiYl0796d3bt3U19f3/yaLVu2AFDqaP+FRXokxeNx75uLGLbsg4ZkRmybSDsNE/0iNtA92YcBnA7DO5sLO7wGERGRrkw9eCISc7Kzs/nzn/980HHbtnnifxtw9R1K5gVX4fD6AKh8/yUC+VuxwyHC5UUkfuk8EoblABAq2U3dug8JFucRKs4j4/r7eXF7PYFX/siQIUPYuHEj1dXVJCe33Ctv/fr1PPXUU1x77bWcc845lJSUtKgvPz+fWbNmcd111/HZZ5/x5JNP8uijjwJw/vnn8/DDD3PrrbcyZcoUampqmDFjBr1H5WBSM9rr19bM6TD0To5ne3kt2DZhq/WtE0KWhcvRNovSHAkbSPV5SPd5mo+t3VPJlpLqqPQkioiIdEXqwRORTuPxDzbxYUmIbhdd2xzugiX5+Ld9RlzfwQRL8gEIlRZiBfxYAT+hiuLm12dM/DnOhGRqli2iLi6FlAFDAaiurj6orUWLFmFZFs888wznnHNOi68dO3bwxz/+kY0bN/LNb36TJ598kt/+9rfN8/MSExP529/+RiQSYfLkyUyZMoWxY8fS7Wvfb+9fUbO9QSoUaZx715qO7sDzOB1kH7D3nQFe+mxXxxYiIiLShakHT0Q6hWU7S3ltXV6LxUn2PHs/4fI9uLOySRxzHg07N4LTRai0oHkjdJOUBkCwwU9i/2EEi3ZRt+5Duk++g1Wv/hGn09m8YMv+pk6dytSpU7+wpueff/6Qz/Xt25ennnqq+XFJrZ8r57+PswP3n+uTmkBRXQPGar1N224cutkhFRlDr5R4XK0sqLKxuArSOqIIERGRrk8BT0RiXjhi8fgHGw7qiUr/+g+xGuqpfO9Fyl5/Gt/QM8AYQond8OdcQShikbhmIW5gZ2kluEtJfudvuMZeRO36pQRL8nEnJGPbBw9hbGuf7Czt8GGIToch0eOiIhxsdVsEm6bFVtp7FUtj6JXsI22/oZn7213lx8bGaKCmiIjIcdMQTRGJea+vz2dXRf1Bxz1Z2XiyT8E94bsE8jeTl9s4D6/41IupSs0mkNGf6pwrAXDVlOFZ91/CccnUlJVQ89Hr0G8kEYeLD7eXHHTttlZQ7W+3rREOxbJtwhGbOLez1ehkms5pVwZ6JsWRlRh3yFMC4fBB2zqIiIjIsVHAE5GY9+6WPTibepkitVX4t67BH46ws6KOzwor2BRsnI9nGmowQNATTyhi4Q9FaIg0BhjbCuPd9Rnuoq3Er/8vtsOJnbeeSE0FP574FVasWNGu9xCKdHyAqQ+GCVsWTmPwuV0YY2jvPLc/Ywy9U+LpnuT7wvNcDkdUfj8iIiJdkQKeiMS0moYQG4oqmx8Hy/dQ9uaf2bojj5K6BmoDYdwVBdgY6ns0LpqSULABAGMgbs9mbKA2uRf+HqeAbVM34qtUfO0G/IPPxfIlUfXVn+NP7tGu99HxGxKAPxRp7rlzGIh3O3F3wObmNuDzuBiUmUxmwqF77vbX7j2JIiIiJwjNwRORmLYir5RwxMbpMEQsmzxvFu7U7iQse4n64V8jLlhPtzVvUtP/NOp7DSa8Np70z94C2wY7Qvr6/xCJS8J2eUjIXU7NwLMI9h+FAWxHY9jxe5OZsXg9T6UlMygz+YsLOkZhy8IfCmPZjWHL43Q290q2F4uWcwsNEOdyELYMgYiF1Q7LaBpjyEqMo2fTXndHSvFORESkbSjgiUhM21ZW0xjubJutpTXUh20cZ0/G9+lb9PhwPhgHtX1GUjHsAjAOCs69jp4fL6DbmjcACCVmsOesH5K8fRkGm+StH8HWj1q04aouoag2kdlLPufJy8/E0QbBqz4Y5p9rdrCpuJr8ynpW7y5nV2Xdfj1qBq/LgcflJMHtJDPR1/aB7xCpyeUwOB1OghELr8vZuMjMcTbjcjhIjnOTlRiHz91xe+uJiIhISwp4IhLT/KEIALsq6qgPhTFAgyeR6tOvaDWUWAmp7P7KLw86Xjn0PCqHngc0du65nYY4174gYtk2G4uq+fMnW/jxuFOOud7tZTUsWLmdZbtKqA2EmxdWSfS6Mca0GBcfCFsEwhbV/iDFdQFSmgNS23w0O4w55AqhhsZ96YZ1T8EfClNWH6Q2ECLS1Kt3uMBn09hb53M5SfE11n08i8ho/UwREZG2oYAnIjHNYQzl/iCV/mDjsEoat004nkBgTOP2AGHLbt6XzdC4rcCiTYVcc8ZAXEc5V82ybP66bCv/+mwngaYVIfcPPHFuJx6ng3Ari4kYY7Asm4r6IFX+EJmJXnok+Y576waP64vvweN04HY68Dg9pMR5sGnseawNhGgIWwTDESwb7KauQGMMboeDOLcDn9tFstfdZr2O7b1NhYiIyIlCAU9EYlpKnJui6vrmQBeKWFi0TY9PMGLhcjQOUdy7+EhpbQOvrcvj26P6HfF1imv8zFi0hg1FVYfsxTKA1+VsNeDtz7Jt9lT7qQmEGZCWgNt17MMdEz3uLwxO3gO2TzBAgsdFgqdj/zRELBu3Q2t+iYiItAX9RRWRmGaMaR6mCRA5zvli+4vYNhHbBmNIjmvchNvpMCzLKz3ia+RV1jH11RVsKq4+7BDFlDj3ES0mYoyhLhBiS2ktgXDk8C84BKfD4D3EfDgbSI1rfePxjuYw5rC9jSIiInJk9BdVRGLalpKaFkv7H+3Cj7bd2CtmWTaRA74sy27cSsDQPFQTIL/y4E3VW1Ne18Adb3zKnmr/EZ2fkeA94m0KjDEEIxG2ldUSihx7yPMeIjh5nA66JXiP+bptqWeKr8M3gRcREemqNERTRGJaQXU9SV43lf4gNmAf4X5ptm037pRA04IghzgvbNn4g2FWF1TgdhjcTgef76nk/7N35/F5lXX+/1/XOefesy9NkzZN90CBtlDKThHBBRUQldFZ/CmKM6OOjrjhoHyHWRAd7CgK44YjLiMuCCqjgjKyChRoKRTapjTdmzT7cu/3fc65fn+cJE2avU1y30k/z8fjfjzIfZ/7nOtOaHPeva7r87nme48S8BmUh4PUloZZUl7IlasWEu5bvqi15st/epWmnsSE948ZSlEU9NERT094FjKdtTnQnWBZeeEE3zFU2LLo0ZkhY9RAUciXN4VNlpQX5HoIQgghxJwhAU8Ikbdsx+VwT4LKSJCu/oDH+Pvv3EHhTo1xfH9UtB1NzLUBPbBcsC2RJmAatMXS7GztwdVN/M8LezhvcSV/vW4JWw938tyB9knPPFUXhuhNZcfdi9dPKUVvKktHPH1cM26VBUFa46khPe98pkF1YXjS55oOjqu54pQF0JXrkQghhBBzgwQ8IUTeSmRtklmHSMCiJOijM5kZ9z2u1rh6YsFugFJ4OU2hgVTWoSeZZl5BaOAQQyniGZv/29XMk41HaIunB/btTYbPNJhfGORgd2LCM2gKaO5NUBLyT7pqpWkoioM+uhLe904DNUWhIUtSc2lpeQEXLK6kUQKeEEIIMSVkD54QIm8p1EAIqi2J4DeNMUPR4HA3mokWOWnqTdKVTI/4+v6uOI3tUXa39+JOcMnoYOWRIEUTLLjSL+u4tMVTk74WQEU4ODD7WRz0UxbOj713rtZcvKxKWiQIIYQQU0gCnhAib4X95sCeN8s0WFxawGgTT8cb7hRwbL5QSoGGQ91JssdUsdRa05PMYihFLG2zuz066ZCngLrSyJBG6+O+Rym6k9kJ70EcLBKwKAxYBCyDRaWRSb9/uswrDPKeMxfnehhCCCHEnCIBTwiRt0zDYGHx0WWShUEfZaEAx0Y1rb3HZOeBRju+P0Tajslbg6sAACAASURBVMOBnsSQUBVNZ0n2hT4FxDM2+zrjk7wyWIbB0vLCSbUHSGZt4pnJV9TUWrN+UTlnLijLm6WZGvjwBfWEfLJTQAghhJhKEvCEEHmtrmxohcV5hUGClomBGgheGj3ucsdjX1d9zx07e6fxwhccLXDSm8oOvB5L28Oag/ekMnQkRl7OOZaAZbC8ooiAz5zYck2tiaXH34c4mKs1yyqK+M615/O35688riWlU01rzSXLqnjd8vm5HooQQggx50jAE0LktbecumBI77vScICw30fIZ3hBT43dG69/71m/wcVXRirEYig1ZJZLwZDwlh6hJ51XBCXpNU2fJL9pUF9Z5FXIHGcvmlKKlD2x6pvgBdVrzljEN991LmWRIFefXss5iyqOa5nnVKoqCvHp163K6RiEEEKIuUoCnhAir62uKWNVVfHA1wqoLPDCkM808Ble4ZXR/jIb/PxI8enY/nA+Uw07Lpq2cfpSZHqUgJV1XNpix1cExVCKRSURlpYXjDubN9r1B7Ndl8VlEf7jyrP4+IZTscyjM5L/8ua1rKgsylnIKwn7+dc3ryUS8OXk+vli7969fPCDH+TMM8/koosu4itf+QrZrDdT7DgOGzdu5MILL+Tss8/mhhtuoKvLKzN6//33U19fP+Lj+eefz+VHEkIIkSck4Akh8t515y7DGDSrVhEJUtgXEFytMQ2FYSjMER6GoUZtmXDsdjRLKXzG8L8WXdclms4OXG8kCgaasR+vooCPU+YVU1caoSDgG3HQo11fa6+H37racm550xrufvcFrFlQNuy4oM/kK1etY3kOQl5p2M+/vGkNKyqLZvS6+SabzXL99ddTXFzM/fffz8aNG3nwwQe56667ANi4cSMPPPAAX/nKV/jRj37Evn37+Od//mcA3vKWt/DUU08NeVx88cWsXbuWM888M5cfSwghRJ6Q3e1CiLx3dm0FV5yygAdfPYihvMC2qDTC7vZeEtmxi46MFGE0XrgbPHunlCLgM0ed5UtkbEpC/jH7LCSzDhnbITCJ6pjDrgWUhQOUhQOkbIeuRIaU7ZC2XTKOA0rjojGVImAqllUUUlsSprYkwhvra6gpHr+BeWHQzx3XrOdz/7uFl5u6Jt2sfbK01lQVhvi3K9ay/CQPdwAtLS2cccYZ/Ou//isFBQUsWbKEN7/5zTz//PPEYjF+9KMf8Z//+Z+cf/75ANx4443ccsstZLNZgsEgwWBw4FyPPPIImzZt4ne/+x2WJb/ShRBCSMATQswS/7jhFJp7k7xwsB1DKfymV4Vy6+FOnLEqaOq+YipHv+yb0VMDXxsKQpY55pIGu2+J5ng923pTWSoLjj/gDRa0TKqLjlYR1doLtl99+9n4TINXX36Jc9effVznDvksvvb29fzwhUZ+vnU/qXGC8om4dMV8PnnJqpN+WWa/hQsX8rWvfW3g6507d/LII49wzTXX8MILL2AYBq973esGXj/vvPN46KGHhp3Htm1uv/12rrvuOmpra2di6EIIIWYBWaIphJgVTMPgtreeyYalVQPFTIKWSXHQh2WoUSfWNHpIuDPw9rz1tbrDMhQhnzVqf73BZwJvj95oFJCypy8oKQXVxSFKwwEKAr4TbnmglOJ965dz5zvO5dSqIhw98QIu43G1prIgyD+/aTU3v3GNhLtRvPWtb+Xqq6+muLiY97///ezfv5/q6moee+wxrr76ai6++GJuuukmotHosPc+/PDDtLa2cv311+dg5EIIIfKVBDwhxKxhmQb/csVaPv260ygO+XG1xjIMQpbZV1Fz5KDX/5yh8PbyKS/kBS1z3Jm7fv0zd+M1J3fGKuk5BRaVTH2j8iXlBXzjHedy02WrWbug9ITO5bguS8sL+MC5y7nnLy9kwzJphTCW//iP/+Cee+4hnU7z0Y9+lHg8TmtrK3fddRef+9zn2LhxI9u3b+eTn/zksPf+5Cc/4R3veAdFRbLsVQghxFE5X6JZX1/vA/4bWAwEgH9vaGj4TU4HJYTIa287bSGvXzGfn2/dx51P7mRPZwzLUFiGieNqbFfjau+hUBjKK0DS/7D6CrBMdP5La42/rxJl0GeitR53qeZ0cFzNiorCaTm3Uoo3nlLDG0+pYX9njF+8tJ+G1h4O9SSIp2185sgx2HE1pqlYUBRmSXkBb121kPW15Tn5/sxGp512GgC33XYb1157LevXrycej/OlL32JU045BYAvfvGLXHPNNezfv5+6ujrA28f3wgsvcOONN+Zs7EIIIfJTzgMe8DdAR0NDw3vr6+vLgK2ABDwhxJjCfov3n7McyzD41tMNxDI2adtBa28pY9AyKQz4aImlBtoXHG/k0CiKgt4Sw9JQgKbeJO4oM3XTGWzKIn4uXlY1befvV1dWwKcv9YJH2nbY1tTFtuYuupJZso6Li8ZnGBQELFZUFHLOokoKg7IEc6JaWlp4+eWXecMb3jDw3IoVKwBvfx7A8uXLB15bunQpAE1NTQMB74knnqC6uprVq1fP1LCFEELMEvkQ8H4B3Nf33wqwczgWIUSea2yP8ptXDrCvM86hngTdqQy72nqxTIOgaVAY9FMe9g8ErbDPW1J5IrEr2NdUHcA0FMVBH12JzLDjNBCwpm/l+/l1lSdUofN4BCyTsxdVcPaiihm97ly2Z88ePvaxj/Hoo49SXV0NwLZt2zAMgyVLlgCwffv2gfD22muvAUfDH8CLL77I2WcfX4EdIYQQc5vKVbPbY9XX1xfizdx9t6Gh4SejHbd58+bFwN6ZGpcQIj8ciWe4d2cnu7qGNxM/FMsQz/YVCNEan2lQFjQp9ps4QGN3+rivq7WmPGhRGT46Q5WyHfZHMxwbGzVQV+gnNA0hTyn4/DnVLCgMTPm580Eo+3YAkr5f5Xgk08+2bW6++WYikQjve9/76O3t5e6772b16tVcd9113HHHHRw+fJjrr78ey7K4++67KSkp4bOf/ezAOb7whS+wfv16rr766hx+EiGEEHlgybp16/YNfiIfZvCor6+vBR4A/muscDfY6aefTiAwsRudzZs3s27duhMYoZhO8vPJX/nys3lg2wH++8XdJGwfhYXDlwLW+DLs6YgNqZbZntZkUCwuK6AgpY+7DYBpKGorivCZR2fOCoG4jtGVSA9ZkukzDSpLipnqVZpaa95QX8NVrztjyPP58vOZCru3+AFYddbc+Dww9s/nRz/6Ebfeeiu33norpmly9dVX86lPfQq/38+3v/1tvvzlL/PVr34Vx3G47LLL+MIXvjCkmEoymWTVqlVz5uefC3Ppz89cJD+f/CU/m/yQTqd55ZVXRnwt5wGvvr6+CvgD8A8NDQ3/l+vxCCHyy0+27OF7z+4e85jioJ+SkJ/uZGYg5CmgN5Vhd3svhUEfyawz6WWaLlBTEBwS7votLA4Tz9hkHW/mUANFQd+UhzuA6qIQN1yyaupPLHKmqqqKr3/96yO+FgqFuOWWW7jllltGff9jjz02PQMTQggx6+U84AE3AaXAzfX19Tf3PXdFQ0NDModjEkLkgef2t/P9TY0TOra6MERXMkPadtF9jREUikzS2ytnGWpSLQy01hQF/VQWBEd83TINaopD7O9MAF5VzXkFoRGPPRE+0+AjF9YT9M3s3jshhBBCzE45D3gNDQ3/CPxjrschhMgvadvhG0/txB1nn3A0naUtliKattFa47juoF54XtRrjaX62ht4gWm8STatNWG/j6XlBWNWxSwNBcgWaw73JKiMBKa8wIppKD56UT0XLp3+yplCCCGEmBtyHvCEEGIkP9u6j0PdcYxRAparNYd6EnQmMtAXAk2lCPksUraD42qU6iuDohQZxwXt9W0LWCbGKLnNW2rpZ0l5wajXHmxeQZCqghCmAfYUNjn3WyYfu6iet6xaOP7BQgghhBB9JOAJIfLSE40towYsx9Xs7oiSyNjDZuMMBSGfScZxyTruQF8819UELZOM65LM2gR9Juag8+u+6pvzi8JURCZeqbIk5OfLbzuLlO3wtcd30NgRnVAwHI2rNSsqi/jEhlNZNb/kuM8jhBBCiJOTBDwhRN5pj6VobB85KGmgcZRw108BAdPAZxhkHRdbu2gUjusSsiyStkMq6xC0TEzDm/UrDvmYVxCcVDgrC/u55U1rWV7pVTf81rXn8Z1ndvHHXc10JzOTOperNaVhP2+qr+H681ZgGtPXT08IIYQQc5cEPCFE3tl0oG3U15p6E8THCHeDGcprPB7AwNXgMxXl4QCOxmtxAJxaVYQ1QpXMsTiu5qzaMj576enMLzpaWMUyDT5y0Sl88LwV/PKl/Tyxp5U9HTHSto01QmCzXZegZbKsoohLls3j7WcsmvFG5kIIIYSYWyTgCSHyTms0PeLsV8p2aI+lJ93uALyw51W+DANQWxKmPZ7Cb1lkHRdztE15g9iuy6LSAq46bSHvWlM3agGWgGXyV+uW8lfrlpLI2Lx4uJPtR7qJpm1sx8UyDQqDPk6rKmbtgjLC/pPvr2KtNRnHxXE1flNmK4UQQoipcvLdVQgh8t5opUraYin0OFU1J6MiEmRlZRHvPXsJDzU0caArzuFub4bQUAqtIegzqS4Ksag0wqXL5/P6FfPHrKx5rLDf4sIl87hwybwpG/dstLutlyf3tnKwO87BrjhNvUlsx8UFDKW45dQUlqH4z8e2s6QswptPXUDIJ7+ipoLWmoPdcbY1d5OyHWxH4zO9pcmrq0uoKQ5P6v9pIYQQ+U1+ewoh8k7Eb6G1HnLTqYHeVPaEzmuOcBP7aks3ZeEgt7xpLQCJjM3B7jiJjEPQMlhYEqEw6Duh656sbMfl9zsO88iuZrYd6R515tVF42pNxtH8dvshXK255/lGzqur5B2rF1E/r3hGxz3bua4e+J4f7I5zoCtORzyFodSQmXFXa1wNlZEAtaURaksirK4p5bJJ/iOGEEKI/CIBTwiRd9bXlnOX680y9EtlHdKOy4ks5htpf5uBt+dv5TyvUErYb0mgmAKP7m7mu8+8RlNPEtNQk1pWayhFLG3zyK5m/rirmXMWVfCZS1dRHhm56bzwdMbT3PviPv68t5Wm3jimOvqnZaQ9oF7gg65khq5khpebuvjNqwe457ndXLRkHn951mKKQxOvKCuEECI/SMATQuSdJeUFzC8K0RFPDzwXTWePa+9dP601Ed/wgKeU4lB34gTOLAaLpbJ85bHtPLm3BTQT2ts4FgU8t7+ND/38Wd6/fhlXnV47NQOdQ7oTab76xA427W8nYzsopYaEu8kwlUFzb5Kfb93Hr185yPlLKrlhw6kUBv1TPGohhBDTRXa2CyHyjlKK8+sqh+y3c1x9QgHPZxmUjdLfLpo+saWfwrO7rZe//cUzPNF4ZPSNlMdBKUVPMsNXH9/Ov/3hZdwpbCg/2/1u+yE++LNneLKxhazjTtnSSqUUGcflsdeO8MGfPsMfG5qm5LxCCCGmnwQ8IURees+Zi6esuqTWmrJQYNS+dLLf6MRtP9LN5367hZZoatq+n4ZS/Om1Zr7w+xdxXHdarjFbdCfS3PTbLdz+6Kt0JzPT9j1XStGRSHPb/73C//v9VqKpzLRcRwghxNSRgCeEyEvVxWHefeZiHO3dyPtMY2BSSAN2X5n9dN8j62pGu+UP+a0h/eqOVRKSIionYl9njFsefomuxPTf/BtK8cy+Nv7tj9umtKLqbHKwO84/3P8cz+5rG/UfLaaaAp7a08JHf/kcLb3JGbmmEEKI4yMBTwiRt/5m3VLOq6vE1ZqioA9Xa1K2Szxjk8w6ZByXbN8jZTvEMzaJrEPW1QNh0DQMFpVERr0R1lqzqKRg5j7UHOO6mi89sm3IfsnpZijF468d4Rdb98/YNfPF3o4Yn/7NCzT3Jmd85lkpxeGeBDf8+nkOdcdn9NpCCCEmTgKeECJvKaX49yvO5MIl82iPp0jbLnbf0rxjb21V38MLgQ7JjI2pFEvKImMu9TQNgw1LT+4edSfie8/tZmdr74xf1zAUP96yh6aek6dAzpHeJDf9dgvtsZkL0yNpiab43G+30BFP5XQcQgghRiYBTwiR10xD4TMUpgLLUKMW2NCDHvT10NNozBHKww921sIyqovDUz3sk8Jrbb088PKBE66UebziaZvbH331pFiqaTsu/+/3W2mN5UeoaupOcPPvt0rBGyGEyEMS8IQQee3rT+7kscYWqgrDnDG/mJDfxFCA1jiuxu57OH0P19UDFRxTjsuejijOaDehCt65um7GPstcc8/zjaRtJ6djePFQJ5v2t+V0DDPhO8++xmvtMz9TOhqlFDtaerjn+d25HooQQohjSB88IUTeeuFgO7/dfmhg/1zI72NJWSH7OqOktAtaD/lXKqWOVsR0tMa2NVk7w87WHqqLQmT7Wi0ELZOI32TDsip2tvbw0M7DHO5NkMw4GEpRFvazsCTCmppSXr9ivlTZHEFnPM3mgx25HgamoXhw+2HOWzx3l9m+2tzNb145OGMFVSbKUIr7XtrPJcuqWFZRlOvhCCGE6CMBTwiRt37wXOOw2bdMX8VMrfWYSwO1Bo3G1tAWT9OTyhLymSgg67oovOqPRUEfFZEQg++dD3bHeampi9+8eoDvP7eby1dW8/+dvQwjR0sR89G9L+4daKqda5sPdtARS1FeEMz1UKac47p87YntZJ38bAuRtl02PradO99xrvz5EEKIPCFLNIUQeWlHSzevtnQPea6pN0lLNEnQNLAMY8S9Vxqv0Ir38J5TQNZxSdsOadsha3szf9G0zaGeJA1tPcRGaHZuKoPm3iT3PNfIR375LK+15c8SuVx74WBHXoQ7gIzt8OtXD+Z6GNPi19sO8lpbNNfDGNP2lm4ebjic62EIIYToIwFPCJGXHtvdghpUK7M3naU1lvKqZSpFyGcSME1ADwQ9jVe2f3CwG8yrwqkJ+QyMvuIrCkhlHXZ3xGgZpYCFaShea4vymQc38/yB9in9nLNRPJ3lUB5Vr1RKsa9zbpbt/7/XjuSsiM1Emcrgjw3NuR6GEEKIPhLwhBB56WD30QChwSuHf8yMnd8yCFsmftNAAU5f/zs16H3HPgAYaeZJa5p7EmNWKYymstz6yLaTfiZv86FOMjkurnKsg3OwL9urR7rZ3to9/oF54KXmLvZ05PdMoxBCnCwk4Akh8lJX8mivr+5khmR25EBhGAYBy8Q0vPk+g6M98YxBXwOYClwYcz9Tc2+SxCjXAi/kbXzs1ZO6PPzO1h6scdpPzLSmniSJjJ3rYUyp+18+gDFsHjpPabjvpZOv8bwQQuSj/PoNLYQQI+hKZMa8zXW01yrBNBTGMQ+lBs3c4YU9e4xwprXmUHecseLbzpZefvhC4yQ/xdzRlcjkegjDxDLZOdV4W2vNS02duR7GpLx4eHaNVwgh5iqpoimEyEvFQf/Af6fGWA6otSadtTl2Us7oa5kwdFWnFxNdPXQp57HiGZtoKktR0Dfi66aheGRX8wlV1szYDs8f7GD7kW4O9SRIZL3Zp7DPYkFxmJWVRZy/uJKAZR7X+aeT7eZfRUcD7+c2VxzuTtAWS2Pl+f67wY5Ek3TEU5RH5l41UyGEmE0k4Akh8tKi0jDPH/Bm5zIjLKm0XZdM1sHW3rLLYzmagT17/bfI/VvvvEqb3pLNkSigPZEeNeABHOqJ86fdR7h8ZfVEPxIA+ztj/OKlfTy9r52OeGrUpY6261IWDnBeXSXvWlPHsorCSV1nOuVJ8cwhNGDm2bLRE7HpYPuo/3/mLQ2bDnTwllMX5HokQghxUps7vw2FEHPKxUurcHXfbNugKplp26E3lSWWcciMEu6ONaTAysBzY++hS42xDw+8yoEvN3dN4Ooex3X5rz838Le/eJbf72iiJ5kZcx+bZRj0prL8oaGJD9/3LF97PH96ofnN/JtVVAoi/rnzb5b7O+N504ZiogylaGyXQitCCJFrEvCEEHnpjOpSTq0qwkChlCLrauLpLEnbnVCoG8ngpunj3TqnbWfMvXoAh7omVrmxuTfBh+97ll9s3Yd9HCHNcTW/fuUgf/uzZ9jbEZv0+6fa/MLgiD0Ic6k0HKCqcO4sDTw8S6uCHpql4xZCiLlEAp4QIm+9b/0yLFORdVxStuMtuzwB/X3yFN5sw5jHasg4Y8/idU6g2MjB7jif/PULNLbHxr3mWAylONAd58b/3czuHLdpOHNBed7tw6stDs+pJZrxcWaQ89Vo1W6FEELMnLnz21AIMeecW1dJxG+RtR20O96iyolxOdpGYTzjTVK54xyQzNr80/9uoTU6ddUdO+JpPv+7rfQmc1fJsn5eEUWDiuDkg9rSSK6HMKXG+8eFfJVvwV8IIU5GEvCEEHnrqT0tRNM2RSH/cS/LHMlEoqJSXiP1sYR8Y+9F+8/Ht3sN2qdYWyzJl//06pSfd6Is08iroi+Oq1lVVZLrYQiG73UVQggx8yTgCSHyktaa7z/XiALqSsJTfO7xjwlYJr5xlvwtGGNcT+9t5U+vtUxLoQylFE/va+XZ5tztx3vd8vlD9jTmUmVBcM5VbszHQjYTMd6fGSGEENNP/iYWQuSlp/e10djhVeTrTdtTWjLe1V5Vy7EEx5md01pTWzz6ssD7Xto/sSR5nAylePxg7ioWXrlqIfMKAzm7fj+tNecvrsAy59avs4JZWhE0PEvHLYQQc8nc+o0ohJgznt7Xhtk3+xVLZwGveflU0DBmwRYNlIfH3mMW8Jm8/YzaEV/b2xnlpaaJt1A4Xnt7U7wyiVYNU8kyDS5cMi/n1TR9lsF7zlyS0zFMh7Fmh/NZ7SwdtxBCzCUS8IQQeWlwmfj+RudKKQw18SIpY0nbzqj7hcJ+a9wiIusWllMaHnkG63fbD5/g6CZGoXi4oWlGrjWSvzu/nvlFoZxd39Wat62qpaZ47oWKJWUF4xbxyTeOq1meR3szhRDiZCUBTwiRl3pS2aNf9N3n9rc3mIp9ba6GlD28UqFSitqSyJgBMuSz+ND5K0Z9/cAE++NNhYPdU1/EZaKCPpOPXFh/4mn7OC0tL+DDF6zMzcWn2Tm1FbOuYImhFOfWVeZ6GEIIcdKTgCeEyEuDM5zfUqO+dtznB2xXkx1cKERBdVGI8Bj771ytefeZddSVFox6zEyGrgNd8Zwuk7xoaRWXr6ie8dkmn2nwiQ2nzrm9d/2qi0PMK5hdjdvnF4UoCeVX+wwhhDgZzc3fjEKIWa8icvTmtsDvGxrqtDepd6JLNRWQ7Vv+iVJUF4XHvKl2tMsb62v4m3VLRz1Ga033DPaoi6azI85EzqTPXHoaa2pKZyxomobioxfVc0ZN2YxcLxeUUpy5YPZ8Pq0162pnz3iFEGIuk3JXQoi8VFsSZvPBDgDKIgH2d8fpn2xz0UOC3THZb0TqmNf6A6PjaizDoK4sQmHAN+p4lIJ3nF7Hxy4+BaUUWmt2tPTwwqEODvckSGUdFFAc8tMSTRLxW/hmYHbJ1Rrb0TD60KedZRp8+cp1fPbBzbzc1IUxDa0h+pmG4u8vWMmVp41c4GYuedeaOv64qzlXK2AnxTAU7167ONfDEEIIgQQ8IUSeesupC/n1KwfR2tvzVui36E5lvf13Y0wU9d8MH3tI/4yfBky8wKbwmpmXRfyjhjtHu9SVFPCRi+o5t66SjO3wky17eaKxhcaOKOYIewL3d8XRQGHAoiISpDg4NenL1Zqs4+K6GsPwQqZlKALjNGSfCQHLZONVZ3PrI9t4vLFlykOJ1prikJ+PXFjPG+prpvjs+WlFZRFnVJfwSnN3rocyrrULylhYMnrbECGEEDNHAp4QIi8tqyhkdU0pLx322gAsLS/kpaYuHI6GtbEMft1QCt0X+YKmwbKKAgp8PtoTaaIZm6yjsR0X01BeCwVXUxbxs6yiiMtXzOdN9QswDMULB9v5xpM7OdAVx1AKa5Smzn7LIJ11iKayRNNZioN+FpVEMI+jz0M0naEjniFlO2Rsl6yr8T6NQmmHCjfGxse2c+VpCzm9unTS559Klmnwz29awyO7mvnOM7toj6WmqCCO5uzaCj576SoqC3NXtTMXLl9RPe2zoifKcV3efMrJEbqFEGI2kIAnhMhbH7/4VP7hl8+RzNpEAj5qikOTKmCi6a+6CWiFz1AsKS8c2N+3sK8p85kLynjX2kW0x9L4TIPlFYUsLS8cEk5+9uJevrdpN46rx73ZDvYFvP5BdCczJLMOS8sLCFpjN1Dv151I0xJLk8jaQ8Kq1/Dde8Z2wXZcHtnVzB8amllVVczfrFvC+UvmTega0+XyldWcu6icO//cwNN724ils8cVUFytWVJWwNWnL+Kq0xdOSVicbd66aiG/33mYhtbeXA9lVKtryrhsRXWuhyGEEKKPBDwhRN5aXFbA352/gjue3IHWsLiskGTWpSWWGve9XrjzHhqwDG9fX3k4QDyTxe7bexfymYT8JufVjR6K7tu6n+8+u3vCRUTCPovuRGYgkCggYzs0tkdZXllEYIy9eY6rOdgdHyjUMl6kCfZV/DQU7Gzt4eaHtnLZimo++bpVBCYYJqdDYdDPP112BomMzc9e3MdTe1rY0xUDzZhhz3ZdIgEfa6pLedtpC7lgceWEg92RI0f44he/yKZNm7Asiw0bNvC5z32OH/7wh9x5550jvufRRx+lpqaGLVu2cPvtt7Nz507Kysq49tpr+dCHPoRp5u57CN7ethsuWcU/PvAcadvN6VhGEvabfPrSVSdl+BZCiHwlAU8IkdeuPN0rpvGdZ3eRyDicMq+I3lSG5Dg3u15DdO+mM2gaFAYsommbtiNduK4e2I9nmQauhp9v3cfbT6/Ff0woeq2tl/9+7rVJVYisiARpiaVw3aHvyTouB7piLK8oGjG4ZW2H3Z0xUhl7QjfMhmJY1U+t4Y8NTezpiPGVK9dRHM5t2fqw3+K6c5dz3bnL6YineO5AB3s6ohzuSZKxHRytsUxFKLcSbwAAIABJREFU0GdiGoqvXb2e06pLhv0cxuM4Dh/5yEcoLS3lBz/4AZlMhltuuYUbb7yRjRs38p73vGfgWNd1+dCHPsTixYupqamhqamJ66+/nve85z3cdtttNDY2ctNNN+H3+/nABz4w1d+SSVtRWcQ7V9fx48178mqppqNd/vLM5Swao2WIEEKImScBTwiR9648vZY1C0r5+pM72XywA79pkLFdxmoO4GrwmVDgs3DRJLPOQGgyBs2sOa6mN5Xhm39u4FfbDvDhC+q5eFkV4BX2+M/Ht0965sQ0FEUBH12J9LCgFkvbtMZSVB0TzGzHZXdHjFR2YuEOIGyZI+4DVErR2N7Lpx/czB3XnE3Yn8MSm4OUR4JcceqCEV/bvcULostry4/r3Dt27ODVV1/lqaeeorLSa7b9+c9/nr/6q7/CcZyB5wDuuece2tra+PGPfwzAQw89RFVVFZ/97GcBWLx4Me9///v59a9/nRcBD+C6c5az+VAHO1t68mK2TGvNmpoy/vKsJbkeihBCiGPkvvSaEEJMwKLSAr5w+RnUFIcIWAamqfCbBj5DYeH9ZWYq8BmKoGkQtgzQEMvYwPBKl/38pkFpKIChFC3RFLf84WW+9XQDAI/uPsL2I8dXwbC6KDRiE24FdMRTw6p87u+OTyrcGYaiIjT6v9H1h7yvPLZ9EqOevRYsWMB3v/vdIUGu/3vZ23t0/1o0GuWb3/wmn/jEJygqKgLg8ssv57bbbhtyPqUU0Wh0BkY+MYah+Pcr1rKwJJzroaC1ZlFZAf9+xdq8CJtCCCGGkoAnhJgV0rbDZx7cQnNPklOqSigK+Aj7TCJ+i4Kgj6Kgj8KAj4jfImAZONor0uECyawzYmcFDZSE/Mc0Udf87MV93PPcbh7a2TRqpczxBCyTqoIQI839pW2XzkR64OuOeJre/hYQE6DxlmYGzLGPV0rx2O4WHtt9ZBIjn51KS0vZsGHDkOfuuece6urqWLhw4cBz9957L+FwmHe9610Dzy1atIi1a9cOfJ1IJPj5z3/O+eefP/0Dn4SySJAvvW0d83NYSVRrzcKSCLe/7SwKg7ld/iuEEGJkEvCEELPC7Y++SmN7L0opDKWYXxQetR1e1tHYrotS3i48R2vSzvCoFbRMqouGz4gYSnHvi3t5dl/bCY25siBAacg3bP+eAqKpLODdMB+JJSfcN04DRUEfVRO8yVfAD55vnNQewrngO9/5Dn/84x/5/Oc/P/Cc67r89Kc/5b3vfe+oxVOy2Syf+tSnSCQSfPzjH5+p4U5YTXGYr779bBaVRmb8Z6q1Zml5IV+/Zv1J165CCCFmEwl4Qoi8F01leGZf25AZropIgNKQf9hNrtaaTF+466cAx3GHBELDUNSWRhitNV13IkNjx4kt0VNKsbi0gOIRxtm/r68rmSGTHWs34VFe83QfS8sKJ9VIfF9njKf2tE7iHbPbXXfdxcaNG/nCF77AJZdcMvD81q1baW5u5qqrrhrxfalUio997GNs2rSJb3/721RVVc3UkCdlXmGIO99xDpfOYGsCpeAN9TXc9a5zKQkHZuy6QgghJk8CnhAi7/1s636SGXvY83WlEcrCgSHBLevoEWc2XLwqlv2VMxeXFVDgH30PWzzrkMw6xNLZExq7UoolZQXMKwwO6XmQdrxQ1zlCIZbRzlNREGRZRSGT3fZkKMXDDU2Te9Msdeutt/KNb3yDW265hb/+678e8trjjz/OmWeeSUVFxbD3xWIxPvjBD7J582a+//3vs2bNmpka8nGJBHzc/MbV/L83rqayIDhts3laa6qLQvzrm9fyT5efkdPWG0IIISZGqmgKIfLen/e2jhiClFLUlRVQEE/THE2StR1s7Y58LGC7mvKIj0UlEXxj9KID78ZWAZ2JDAWBE6tCqZRiQXGE4qCfw70JEhkH3bdHMDXO7J3G66tXUxyi8ATGsecEZyNngzvuuIMf//jH3HbbbVxzzTXDXt+6dSvr168f9nx/i4XGxkZ++MMfcuqpp87EcKfEJcvnc3ZtOXc+1cBTe1uIpe0paaXgak1R0MfFS6v42MWnSLATQohZRAKeECKvua6mJZYc85jySIDSsJ+2WJK9nXG01mi8cKTwZrAMpQj6DJaVF07ouv23yCl7YssnJ6Ig4KO+sphoOkN3MkuB3yLjaJQ6er3+eRifaRD2W1REAhQGfJNakjmSI9EUXYk0pXN0ed327dv51re+xQc+8AEuuugi2tqO7p8sLS3FsiwaGhq49tprh733f/7nf3juuee48847qaioGHivYRiUlx9f24aZFAn4uPGy0/lY5hR+vnUfTzS2sLczdlxBz3FdllcUsWF5FdeuqSPkk9sEIYSYbeRvbiFEXktkbTIT6ENnKEVpOEhTb2rguf6A13+bq5QaeG48IZ81sKxzqhUG/JxeXco7z1hEVzJDLGNj9zVFN5WiKOjDZxonHOoGc13NtuZuNizLz31lJ+rhhx/GdV3uvvtu7r777iGvPfjggyxbtozu7m6Ki4uHvff3v/89Wms++tGPDnm+pKSETZs2Teu4p1LYb/H+c5bzvvXLeHZfG1sOd3KgO8Gh7jjNPUmc/sJDioEZZJ9pUF0UYmFJhEWlYc6urWB9bbm0PxBCiFlMAp4QIq8FLRNTGdh6/KCltUZrBgqnHHuLaozw3GgKAhamUtO2t2lhSYS04xKwzBlZ/qYUxDIntp8wn91www3ccMMNYx6zc+fOEZ+/9957p2NIOaOU4vwl8zh/ybyB57qTGXa19hJNZ0nZTl+LER/184ooDkm7AyGEmEsk4Akh8pplGhSHfHTE0+Meaxpq1KqYwKR62hlKEfaZAzNrU8nVmtXVJZiGFyCnc7ZE481C2q5LMuNgO+6IDdjF3FYS8nNO3fDiMkIIIeYeCXhCiLy3bmE5f5hAFUjLMPBbxohLOjVQGJxckZLScIDu5PjBcrLKwwGuPn0Ru9t7sV2Nb5yG5ZOVzDq0xVOksg4p28F2vcqitz3yMt9/bje1JRHqyiJcdVotq+aXTOm1hRBCCJFbEvCEEHnvXWvq+MOuJkbtbD5IyDJHDHiGUswrCE7qumUhPwWBqV0+6WrN5fXV+EyDFRXe8rjECC0gjkcsY9PcmyR+TGsHA28mtCjoJ5l12NXWy662Xh5uaOK0qhLet34Z6xfJ7I4QQggxF8g6HSFE3ltWUcjq6tIJHXtsX7x+hQEf/kkuTQwHLG59y5lTUna+3/KKQq4/dwXgha7aksgJn1NrONSToLE9Oizc9QtY5rCloAaKHS093PTbF7n9T6+QmcKKoUIIIYTIDZnBE0LMCv9wUT2feXAzPcmxC4UUBiwsQ5Ec1F8u6DNZUBKe1PVcrbl0eRWvW15NQ2svP31x3wkHvaKgj09fetqQPXDn1VWwo6X7uM/tas2ejhjRdHZYARnd97rjagoV9KQyRPzWsL2Irtb8bsdh9nbGuP3KdUROsO/fbGc7Ljtae3jpcCexjIPjanyGoiTs55zaCurKIlJlUgghRN6SgCeEmBWWVRRx0+WrufWPL9ObGh7yMrbDkWiStliaTNYm29cPwVAK01Ac7IpTFvZTGg5MqJLmwpIwH7vYa3j9t+evJG27PLDtwHEHsaKAj39+0xrq5w0t03/t2jrue2k/8eNYpqlhWLg7WlRF4/ZVFVVoepIZelNZlKEImAYhn0VlJEgk4P0aMJRiZ0sPn3lwM197+3r8J1lj67Tt8MuX9vP03jb2dsWIprJYhhoS5LTW3Kl3UhEJsryikDfV1/D6FfMl7AkhhMgrEvCEELPG2bXl/MeV69j42HYa2noH1pjv64xyJJoa6Fmn+tobeOEGMrZLVzJDNJ2lNZZiSVkhAWv05ZolIT83v2H1QPsCpRQf33AqS8oL+P6mRrqT6Qnf1DvaZXV1GZ++dBWLSguGvR7yWbzplBrue2n/pMNje9ImmtUovGCXcVwytjuktYMGLMPr/2coBRrStkvaztCV9Gb0FhaHCfstlPKWbN7xxE4+8/rTJjWWiUjbDi8d7mJvZwzbdTGUYmFxmHW1uWsmnso6/Nefd/Lknla6k5mBn4FvhOW8Sil8StGTzLD5YAeb9rdxz/O7eduqWv5ibZ0EPSGEEHlBAp4QYlZZUVnEt649j62HOvnVKwf4ztOv0RZPeTfXSqHwAk3IZ+K6mnRfiwDb1Zh9PRR2t/eyrKKQ4DGzVK7WLC4r4KbLz2BFZdGwa195Wi0XLK7ke5t288y+tiGB4FiO1tRXFvGG+hreuXrRmDf/f3f+Sl483MnejtiEvw/xjE132kYZJhnHJW07uJoRG7k7riaRdTANF0sZ+ExvZkoBiYzNa+29zCsIMr8whKEUf2ho4nUrqlhfe+KFV7oSae7dspcthzo53JsgnraHhCfbdfFbJv9+WgqfZdLUk6CmeHLLaY/XM3tbuevPDTT1JFBKTTpgW4ZBU0+Sbz69k6f3tfGZS1excAr2VAohhBAnQgKeEGJWWrOglC/96RWStk1B0OfN1ikv3PTfppumwlSQdjSO62I7moQ3p8Xejhgr5xVhKoWrNaWhAK9fWcXfnV8/4uxNv/JIkM++/nTStsPDO5to7IjS1JMgmXFQCkrCfhaVRDi7tpy1C8omNKtjmQafvGQVN/12C9H0xJZqHokmcVzIOF5vu36Dr6bxKmkZfcHW1ZB2HbKuwm8aA59TazgSTZFxXBaVRHCBHz7XeEIBrzeZ4atP7ODZ/W2ks87A9+HY761lGLiuxnY1dsbmfff+mXULy/n4xadMW9DTWvPNPzdw/7YDff/fnNjMm6kMXmnu4sP3beITG07hspU1UzRSIYQQYvIk4AkhZqVvP72LR3c3H511GeUe3TAMQga4riLreksms45L0DIwlOKyldWsrCzkytNqB5ZkTkTAMrnq9Nop+CSeVfNLuOnyM7j1kW3Exgl5adulM5Eh5biM1of92HDXTylvuWbK9oqHBCxjYDavM+HNSNaWRHi1pZsdLd2cWjX5Pnl/2HmY727aTUfMm1mdTIByXc3zB9r5+/ue5W/OWsq1U7z0UWvNxke387sdh6Z8SWUiY3P7Y9vJOJorTl0wpecWQgghJkraJAghZp1U1uEHLzSSdSbQGK+PYRgELIOwz8JnGiwoDrO4NMI/XXY671qzeFLhbrqcU1fJrVecycKSMK4e/bPt64yRGrQkc7D+r0cKd4Mppci6LqlBe/YU0BFP05PKoFD85tVDk/4M335mF1/606t0xie+T3Ek8bTNf/25gS8+sm3InsIT9e1ndvHbaQh3/bK2y9ef3MFTe1qm5fxCCCHEeCTgCSFmnV++vJ/D3YkJVcMcSX+Q2dsZ4+l9bVM5tBN2ek0pd7/7Aq46vRafaQwLN9F0ls5k2isiA0OqZw7M2qmxw10/pRS265JxhjaGP9yTwNWa/ZPYEwjw3Wd28dMte4/753Is01A8sqt5ykLeCwfbuf/l46+EOlEZ2+UbT+0kkZW+gkIIIWaeLNEUQsw6jze2kByjKbfjumQdjdMXgsALQqZS+EyFaRj0prM4rsvzB9q5cMm8GRn3RPlMgxsuWcX7zl7Gz7bu49l9bRzqSWA7Loe6E7iuVyEUhs7YwcSC3WBKKbKOi2V43xeAdNahPZbiYMCH7bhD+vaN5v92NXPvMb0Ctda0//qbhJacRsGaSwBw4j003/2FYe+PblQUFnqfJrrlT8S2PoabiuOvWcZDl76butIIf3P2skl9tsEytsM3ntyJM9qa1inWFk3x4x0JLj5vRi4nhBBCDJCAJ4SYVWzHZW9HdMS9Z47rknZcHFcPW4KnAVtrslkX03DxG4po2h7SED3flEUCfPjCej58YT09yQw3/34rLbEkXckM4LVHMNSJFwlBKVK2S8Rv9H2p6EpmKUtl6UykmVcYGvPtsVSW7zy7a2iBF9el+7FfkN6/g9CSoy0Xsh3NqECI+e8dGvIKCj7uneulJ+h99neUvfG9WGVVdD/+S7p+99/8rHIeG5ZVjdhqYiLu3rSbA13xaZ+966eUYktrnGf3tXHe4soZuaYQQggBskRTCDHLxDJ235JCPbAsEbzm3smsty9trMCjlMLVkLJdupOZmRjylCgIWLTGUswvDGMob/nilIS7Pq7W2O7RpZqJjE0ikyU7gRmvrz+1g7ZoauBru6edtvvuILVvOyowNBxmO4/gK63CjBQNeSjlVfPsff4PFJ33FkLL1+Arm0/ppX+Bm4wS7ezkjid2Htdnsx2Xx3cfmbFw10+heHD7wRm9phBCCCEBTwgxa9iOy+9ePcSe9hjxtE084z2iqSyJrNM3pzUxGkVHIkNHPD2NI546D+9s4khvEqUYtXLmifCWag4+sSaecfCNs+Qzmsrw571tQ4JmpnkvVlkVVX/1WQz/0IBndxzBKh15SWxTs4Eb7yG88qyB56ySSqo/8K+YBcVsPdxJY3t00p/t9zsO0zIogM6kFw500BZL5uTaQgghTk6yRFMIMSs8vLOJu5/dRWs0Rdp2MJTy9thpTf8iS1d7Ea+/7P+Y+nrm7WztQevhSzrzzcvN3ZiGYgoLSg4zuHKnUgrTgIpIcMz3/GzrfpIZe8j3L3zKesKnrB/x+GznEZRp0vqzjdi9nfjn1VK84R0AtLYaYFrYPe10/PZ72L2dBKqXUPK6azELigG476X93HjZ6ZP6XI/vaR1ocj/Tso7L/S8f4O8uqM/J9YUQQpx8ZAZPCJH3Hth2gK88+iqdiQyWaVAQ9GGZhrdEsy+T9N++u9rrpTZeDjKUojDgI5rO8ujuI9M4+qlxqDsOgKMnM085ObovMPeL+H3jFm158VDnpMKx3dWCm05RfNHVlL/telCKtvvuIB6HVArQmq7/+ymF699I+ZUfws0kaf/Vf6FdL8a/eLhz0p/pQNfkqoFOJaUU+7viObu+EEKIk48EPCFEXntufxvffnrXkNmliogfy1AYfU27B8cLRV/LgDGmurQGy1CUhP1YhsFDO5uma/hTpjV2dImhYahxA+zx0DCkymRpyDfm8Y7rcqB7cuFl/nW3MO/aTxBYsJxA9RLK3/IB0C4vbPFhmoDrUHzR1YSWnkFg/mLKrriObGcz6UOvAXAkmqQ9NvHllq3RFC2TOH46HOpO5PT6QgghTi4S8IQQee2nW/eRPaZPW2HAT9hn4hsl6Ci8EDdaxlMKioM+KvuWH2493EUiY0/twKdYtq8AiqEgYBrTNos3QCnOXFg+5iGvtUXpmWShGsMXQFlHg6OyfJhFZXR1KUpKvB+Yr2z+wOtmqAAjWIDT2+UdDzy7f+K9C5872J7zX3TN0WTe//8lhBBi7sj17z0hhBjV/s4YLx3uGvG1BSVh/GMEHa/C5sgJL+K3WF5RSP/qw0TGpiuR38VWLOX9dW0oRdBnTvuesrDPZE1N2ZjH7GrrxZrEOJxYD4e/+ZmB2TgAN5PC7mqjptplUa2DsnxkWo9WnnQSUdxUDLPYC5uGUrTGJv6ziqayM14981jprEMsnc3pGIQQQpw8pMiKECJv3b/twKivFfh91BSFiKazaJS3f4yjyzX7Z/EGJ0ANFAV8nDa/5JhgokmN0Tg9H1QWBOjsC6EByyRgmtjHzGyeKIXXfkEpRVVhkPW1Y8/gZR13UvvvzIJi/PNq6X78Pkou+0uU6aP36QcxC4pZd1YrpgmRNRvoefIBjEAYs6CY7ifux1dWTWDB8oHzOHrin9udzqo0E6TROHkwDiGEECcHCXhCiLzVPk4Lg9JwgJDPIuO4OLq/SAhD5u209pZkBi2TmuIQNUXhYecxDYOSUGDg67TtsLu9l7ZYGp9pML8wyNLywpxW2qwtidDQ2gt4IbU7mcFnKLKaKVuuqZQCpaiIBDi9upQl5WM3FbdMNaEKpFofDVqlV1xH71O/ouM330bbGQK19VS8/SOY5g0AFF9wFcqw6PzDD9GZNIHalZRf/fco4+iCE1NNfPGJzzQnfOx0MZSBPw/GIYQQ4uQgAU8IkbeO3Xt3LMtQhP0mlu21TMg6Gke7Q/bfVUQCzC8KURLyjxqEakvClIb8NLZHue+l/Tyzv42OWNprS4DG1bC0rICLllXxnrV1FAb9U/tBJ+DUqmIe3tmEaSjKIgGORJM4jtc2wXanprKm6qssWl0UYsPSeeMGt/rKYmxX4zOHHxdL23Ql06Su/BTttoPb3IXWXoEY/9qrCJ59DQV+i7JIYMgSSmUYFF/wNooveNuI13S1Zl5BYMTXRlJXFsZ2XCwzdzsSikM+SsYpWCOEEEJMFQl4Qoi8FfaNPeuhlKI46KM1msJUCtNSDN5arJTilKrigcqasXR/Q3SvWElhwEfANFi3sJwb/3cLWw51DLzXb/Wfxwsfh3oS3Lt5D7/adoArVy3k7y5YOaMzem9dtZAfb95LVyKNAsoiAQ5nsgQtk5TtnHDI01pTEvKztLyA8kiAd69dPO57VlQWUhzyDykg0pVI0xZPE0/bjPTtcV1NynVIZR26EmmOxFLjVuscMk7g3LqKCR+/tqacoN/EdnK3RHJRcQTTkC3vQgghZoYEPCFE3lpZWcTjjS1jFsmYVxCkPZ4esWJmyGeitaYllqI7mSGZ9fbZ9Qc+BUQCFg9s24+pFMY4N+FKKVJZh59u3UtrLMXNb1w9YyGvM56mJGSxranTG3tfM3fXdQlaJlnHJXMCe/IiAR+nVHnNxD9wznIigfFDl2kY1JaEaWjtxXYcDnYn6E5l+5rNj39NpRS249IaTZF13AmFoKrC4LjN1wcL+kwWFIfZ35m7XnQLS4YvCxZCCCGmiwQ8IUTeeueaOn7x0n56U6NXIPSZJmUhP+3x9JCwpfGKkWxv6fGKgTC8X56rNT3JDK+ksoR8FkvKCwhY4++VMpXBI7ua2dsZ5fT5pbTH07haUxTyUVsc4fKV1dQUn/hNve243P/yfv60+wg7W3tBa3rTWTK2F+RsV5N1XQzDxVIGIcsk47o4rh7WH/BY/a+bhsJvmiwvLwRgw7Iq3rJq4ZBjG9t72XSgg4NdcXpSWUAT8lksKA5RGvSTyGTZ1xknbTvHFXhVXz9D23Vpi6WoLBg9wJ21oHzS16ivLM5ZwHO0y9qFY1cjFUIIIaaSBDwhRN4KWCbn1VXy8M7DY97ULyyJkHFcupNZsu7RfXjxvqWDplJYpoFlqIHQo7UemBlUSpHM2uxuj7K8onDMkGc7Lod7EvSks2xr7mJHSy8R/9G/SrXW/GjzHtbWlPKh81awcl7xcX32V5u7+doT29ndHsVQCrOvAMqC4jB7O+OgNaahME1viWbadTBcRdAyUH0zeq729g8Obvqu8PbBGUrhMw2U1lQUBCgIWKyrLefmN6wGvCbm9798gD+9doQdrT0Yfd+nY/Wmsmw/0o1S4OurwHm8NNDYEaU1miTgswYCaMAyKAz4iPgt3rl60aTP+641dfyhITfN7GuKwrxxZU1Ori2EEOLkJAFPCJHXPnzBSl450kVTT3LYa1nboT2RJuu4RNNZklkHd1BVx/6s4WiNbTsYCvym1yC9JBwgkcnSt2oTpRQZ22FfZ4yVlUUjBpWeVIZD3QkyfTNVhlK0xVJEyo5Wm1RK4bqaLYc6+cSvXuAv1tbx/nOWDzvXWB7acZg7ntxJxnaGLU8tDvqpLnJp7k0AXqGZoM8kbXuBLpl1CFheM/R+g1evDmkOoTVFQR8LSyK8YWU1n7n0NCzTYEdLN199fAe7Wnu9EDlKaNNASzQJCtKOS9ZVBEzwTaKgiaM1mb4wCt6sZFcyQ8h2BpZsaq1pVilqCkM83thCdVFoQktI+y2rKOSM6lK2NY/cU3G6aK25cMk8jGnuWSiEEEIMJru+hRB5rSjk54tvPYuaotDATFQslWVvR5TtrT009yQ41J0gmrYHgozqa4I3eOYKrXFdjeNqKiJBioI+MscU3lBKeU3Pk5lh4+hKptnXGRvW+603nR21x1nadvjB841848mdE/68j752hK8+voPMGH35qgqC1BSFBxq1W0oR9plYhsIFElmHeF/gTWUdsraL67pDwx1eWLxgyTz+5U1r+KfLz8AyDR7YdoAbfvUCje3RcZupt0STxDI2AcscCIEp27umHuV7Mvj6KdshkXVw3GOOVYqU7Q6cQymFZShKwn7+Z/Mervvp0zwyyRm5d6+tm9C+wKlUFLB477qlM3tRIYQQJz0JeEKIvFdbEuGud57Lm09dQDxt09gZpSeVRWtIO14T6f4QEOqvvKn69pcZBn7DIGCZFPgtgpZBRyJNazQ14h41pdRAQ/F+advhUHdixEIujqtpj6VGHbuhFPe/vJ+Hdhwe93N2J9Lc+dRObHf8YinzCoLUFvoJ+S1s12vU7rgahUIpsDVkHJes1qQdL0glsjYp28FnKjYsreLOd57Lj/76Ii5eVgXAA9sO8F9/3jluewrwZt5aY6mBvY1+yxwo/pJ13SEBbaT3JrI2WWf0yp9uX9sL8MLgvIIgwf+fvTuPs7ss7///uj/L2c/sM9mXyU4SSMIiBEHgKyouoGhRrK1aS5dv/aqoFZRapNYqRayUYq3WWn9qrVoX3K0gKiJbSAIEAtkn62T25ezns9y/Pz5nTmY5M3NOQmAGr+fjQZVzzmc7sZO8c933dVkmSin6MgU++cun+Id7nsSr4rsC2NzexstXzps2eD5XfK15/fIG6qLP/0gNIYQQv98k4AkhZoW6aIhNC5pIRCzm1sWoj4YI28GPMNs0idlWqWsm5eHbvgaMYORByDTKlTetNeni5I1b0gWXvHOignZkMIs7SehRgDO+AjWOoRRfemTPmHEClfzT/c8wkJ16uPtoYdMgZgfBqjzgXQXXM1SwVDJimYQsk5BpErEtWhMR3nTWEr5wzQW8dt3C8jLInccH+cKDu6kyL9GTzo+pvNmGImQa5ZDn+n45oI3mlZaRjgygn4xSClf7aKAxGmL3Y/f6AAAgAElEQVROMjr2feDe3Z38zU+340/z/Y94/yVrmVdh0P1zTWvN5qWtvHRB8rRfSwghhBhPAp4QYlZwPJ8vPLQbrYMliu1NCSJWEOoillFerjh6Dx5A0fWp9Md/p1T5q2R0AMw5LqmCM2XzkGqqQv2ZAt/a3jHp+92pHI8c7Km6SYnnaw6livRmCthGsEQzXqpQWoaBbQbfSXMsxNLGOOvnNbBpQRPLm5M82z3MX333EZ4q7UnzfJ/P/uaZqip3I4ZyzoTqW8g0xoS8oueNqbD5MCY4V/OM8ZDJkqZExUqfoRQPd/Ty2d/srOp8EdvkY68667QOHddas6K1jr995Vmn7RpCCCHEVCTgCSFmhR88dYi+zInqludrUhXGJ4yPWhomnQ9XqcIEQTgZqU71ZqavqE01p2/0OR/s6B7zWudQlv94eA+3/PwJrvnK/TzVOcje3hSHh7IM5ooVgykE1bp9fSny7th9dQZgGwYRK6jchUsVvDnJKPGQNeazg7kiH/v5ExzoS/HdJw+xt3d42mcY4elgSeiEZ4TyNRWglRqzz7HgelRZbAOCwJgM21OOezANxc+ePcrDHT1VnXNVWz1/d8VGmmLh6m+kSlprVrbWcfuV5xC1pYeZEEKIF4b8DiSEmBV+vXfswPOi6+H6/oRwNT4MKILOjCFz3Bw8NXnlTWtd7nyYm6biFMzbq+7vyg4PZsk7HsdTOT7/4C62HenHKzVtOTCQKlW3PNIFh14gYpm0JMK0xCNj7v3ocLY8AmIqSily7uSfG8wV+fSvnsbX1YXUEemCE1RKJ3nfNhRWyCrvC/R8Hx+F6+uqGp2YhiJsmhgKCu70VUWt4V9/9yznLW6ualj6+nmN3Hbl2dx239M80zU0bTOZamjgZcvn8uGXrydiTz9LUQghhDhdJOAJIWY8rTUH+tNjXnMnKQUZSqH9sZ0uKwU52zAmreyBImYFPx6L3tQBzzYNmmKTD+YeLVN0ufP+ndy/v7scHEfuszCuIqY40dxlKOewtCmBZSiyjktfpjBlVWu0gjN1QNp6uI/hgsP8Gvam5Rxv2usrIGqZeFoTtU1SBTeo6sGEbp5Bo5bg1ZhtMTpvVbts9NBAlp89c4zXrVs4/YeB9uYkn3vT+fzHo3v53hMHT3pIu681bckIf37BKl6+al7NxwshhBDPNQl4QogZL+d4E/6gb01SdbFNRWFcJtNMDBamoZhs8V8sZBEPBz8ep9peF4wasJmsAKTH7QfsTuX51vYOGsYtD9RaM1mOUUCq4LCnd5iVLXV0p/I1dYJ0p/lsuugykC0yry5WdWispQ+lqRSWYZT353m+Ls+8gxMjEEa+pvHfZbWPahqKe3dXH/AgGPj+Zxes5DVnLOBb2w/wYEcvvel8VRU9X2vamxJcvGwOb9m0lFhIfjsVQggxM8jvSEKIGS9iBTPeRndtDNsmtmlOaJOvSoHC03pUdWji0k2ARMgm746tRmmtaRzVhMNQCm+SSKOUoi1xonqXc1x60gXSBQdXa7QGUwUjBGzToD+Tp3FOQ83PrwiakxzoT027ZLRWBdej6PkM5oo0VtnSv9Y6VyrvlENTEMyrP0MtRbWdXcNki27NYWtBfYwPXLqO93g+P3vmKLt7hjk8kOHwUJZs0S0v2W2IhFjUGGdxY5yzFzSxeWnrSVX9hBBCiNNJAp4QYsYzDMWC+hj7+04s0zSUoj5ij5lZp6FUIfJx/RMxQqmg0UrINMqvGUqxvCXJ4cEMw/kTHSFty6RlVGgLW0bFZYIaWFAXJWyZDOcdutM50oWJ+91cDU7RJVNwUEYwwy1qm2P2vCmlMA2FO0nTFwieZTDnoLUmZFbfH2uySmf5/vxgL1264FQd8MIjM++qvAfX1ye9z226+x+t4LpsO9LHRcvmnNS1bNPgqvWLxrzm+X5pD6chYU4IIcSsIF00hRCzwsXL5oxZ2gfQmjix1HFkvlrO9dAoDE4szYQg4GWKLgUvGJuQCFuETIP2pgTJsI0mCH1LG+NjwlcwW29c8FKKuXVR2hIRejMFDvSnKoa7EUXPRyuFQtGXybO3NzVhrl6kikYtvtY4vq5piWTYqq7hRzXNTEYkw3ZNlbXJxlFUo5aGJZZh8Gx39d1Aq2EaBuHSgHUhhBBiNpCAJ4SYFa7ZuIS6yNj5ZVHbojEWwvV9co43prOjYajyDzilVPn1oufjeD5zS4OzDaVY1pxgSUOcM+c1TFje1xqPlDtqBh0zTRY1xJiXjDKQLXB0KDvtPjHXD6aQB3vNFJmCw/7+9JjAWjFIjqN1EPImazAz8fOa2DQBaaSm6VY74ZzgOaoNjqciCOK1zaybbpi8EEII8WInSzSFELNC1Lb4o3OW8fkHd49ZGjgvGeH4cG5CQxMAZSjCKujQ6GofrUthTylSBYeIbTA3GeOl7a287exlxMMW33m8g29u72BPX5qi62GUmoCYymBuXZT6aAgFOK7H4aHstKHMJwhlhqGwS0srR0LekcEMixsTALTFI/SmC9NW5xTBMlS7iqWLpmHQGp963lu1Ix7Gq4vYdFfRTROCRisnI2qbJGrcT3fytUIhhBDixUECnhBi1rhm41LSRZevbz1Qbq/YmymWwo4RLF8sBT1NMCg7XApVvjYwFCTDIezSMO4PXbqeK86Yj2kY5B2Pr27ZxwP7u0kVXOYlI3iluW2KKLu6h+nJFPC0pikWpjuTL8+wm4pX2uMWGbX/D4KQN5R38Ur702zLpC4aYjBbmPScI69W00VTa019NIRlTl1pi4ct/JSuaQ4ewJxEKZBWcS+17KMbobWmIRKqeWlkPCQz6IQQQvx+k4AnhJhV/uQlK1jamODupw7x5LEBBvNFDMMgbEBIa4peEMps08A2FaZSRG2Llnh4zHI/r7SXzTQMulM5bvrpdvb3psoNTwAM80S4WNqUYH9fikMDDsP5Ilmn2rlpmrBlVGwy4noePZl8ebnoovoomaIzabMVw1BoD3QVlw1bJgsb4tN+ri5sE7ZMIjUuubQMg+Z4mJ50fsoqniYIkfkau39GbIu2ZHXzBUd4vmZFS11NxwghhBAvNhLwhBCzzmUr53LZyrn89/b9/O1PnyBmB4HINBSNsXBVy/pMQ/Gbfce5ZHkbH/rhVo4MZacMbLGQxYrWOg4NZOhO5fG1JmJbk4abkQpifTTEUK5Y8TNKKQZzTjngWabJwvo4BwfSFff1jZ4XNxXDgIUN8ao6VyqlgpBn175Uc0FdjHTBmTK8JcIWUbu2gKdU0DW11qqibRmct6i5pmOEEEKIFxsJeEKIWcvAYEnj9FWqyQznHW6972kOD2aqqsZFLJOVLUme7fbpzzk4nl/eVzcywFsDtmHQGAuxuCFOpugykCtO2tGq4Hpj9g82RENoHefwYHZC11BFaT/bFLdqKMXihtiEhjRTWTOnDsswGcpXDqKTUQoWNwaVzfFdQSEIua3xCLZpTFvpG33MnES4pvsfsbq1jniNTVmEEEKIFxvpoimEmLXGB6BaZYsuWw731rTPSylFPGQTt03iIYuYbeJpjev7OL6P6/nkHJdjw1m2He3n6FB2ys4fGj1hjEBjLMyKlmTFzpq2aVSsbGmtiYUsVrUmaYhO3Vhl/HEvXzWP6y5YQfV9NE+I2SZLmxJY42bzaa1pioZoiIaIhyziVTZLmZOIMK8uVvN9eH7wHEIIIcTvO6ngCSFmHa01u7qH6ehL0ZctkAjb5WYq1cg5HgXPoz9XIGIaRG2r5mYeju+TLrqELQPPD0YXBF06R24yqM7lSxU6yzAImcbEhiOaioEtCGt19GUKDOSKZBwX7WssU9EQCpEqBEPPURAPWTRGQzTHwjU/x4KGOH954WrClsnjRwe4Z/exmpdGJkIWK1qSHB7IkC66oDXRkDVmD2BzPEym6Fas4o2EWMtQzK+vPdwBzK+PcuXahSd1rBBCCPFiIgFPCDFr5B2Pbz1+gPv3drG3LwXA0aFgKWMiZNMUD9EYDVcMEb7W9GQKDOaKZIsuWgcdNw1lELVN6qM2bYloVfvWMo5DwfXRpeHqimBvXKVcpACNwvF8PD9ouBIaFUbNUTP6JhyrFC2JCC2JCK7nM5x3aEtGeM0ZC/jm9g4GUmnmNNZhGSe3GCNsm7z34jXlmXYfuXw9rva5b08npqrtnBHLZEVrHV2pHAXXY04yPOa7bIqFGcgWSRWcMd1ADSPYp2iP6zJaq7/YvGpCFVEIIYT4fSQBTwgxKxwfzvHhH2/l4ECmNJsu+MN8QyREf7ZAuuCQKjgMRx2WNCXGhIVs0eVAf5qi5wdz5LTG9TSe76PxyTgufaWh5Stb6qiPhia9j4FsgWzBxS914UTBdJlQqRNDygulvWojIS8erq56aJkG8+qj/MsbX8LyljreuGEJf/7Veymc5Iy5sGXy/pedwXmLW0bdp+JvX3EWy5uTfHN7R81Dww0Ff3TOMt538Rn89kA3vz3QxZGBDEeHc+SKLnOSEXJOUMUL2xZx26Q1EcY2zZMOd77WvGL1PC5ZMfckzyCEEEK8uEjAE0LMeKl8kRt/vJUjg1kMpfB8TX+ugOdrDKXR6KCKBgzkijCQZmlpgHjW8djXl8bzffzSsknX97ENY8zWOA3kHJ8dxweZl4iwrCVZMXh1pQuYhgHU0BWSYMSBX5rTV/R8LMNAKWiOVbdfzgfeds4ylpfGACxqiPPBc+byv30Wjx3urXpZpa81ixpivPdlZ3DuopYJ7yuleNs5y7h4WRtfengPWw71UXCnHwlx5rwG3rxxKRe2twHwqjXzedWa+QBkCg6DeQff1+zrS/GZXz9Ntljb2ITJnmXTwiZuuGz9KZ9LCCGEeLGQgCeEmPH+89F9HB7IkHc8ujJ5UnkHd9SQcdfTOL6HbZpYhqI3UyBmWzREQxwcCMKdpzV5x8PXGkspIpZB1vHGhLyRDNOZzqEMaG8aG/JShSI5x8X3fTRBKKy28qQI9tr5BHv1ip5PQ8SuqlukBt6ycQlvO2fZmNcbIxa3XXk2P955hB8/fYTdPcOTBj3P18yti3Lxsjb+7IKVhKaZe7e4McHHX72JwWyB7+84zIGBNEcGMwznHHyC5ioL6mMsbozzqtXzWdE6+fy5eNgud7dc1BinIRrik/fuoDedr3nPIIAz0M3gr/8Hr6uDR5IJ7thzNe973/uwbRvP87jjjjv43ve+R6FQ4OKLL+bmm2+msbERgO3bt3PttdeOOV8sFmP79u0134cQQggxE0nAE0LMaK7n88CBbobzDgcHM/h+EMk8rXFdv9T5UeP5mqLnloPUvt4UlmngeD6WEeyB80vNTiKWgVIKwwiqgeNpDb3pAmHLZEH9iUYhvZkiCnA8jaHAqzHlKQWGVhhGMOS8JZ6YMuBorWlORLju/BW8as2CSc6puHLdIq5ct4jHj/TzyKFeDg1kGMoV8dHES81O1rTV8fKV82rep9YQC/Mn56+o6ZjpbFzQxH+8ZTOf/tVOHjjQXdPyTN916f/B51m3/kxu/eIddHd3c8MNN2BZFtdffz2f+cxn+OEPf8jtt99OQ0MDN910Ex/72Me48847Adi7dy+rVq3iy1/+cvmcxknuYRRCCCFmIgl4QogZ7Re7OznQl+LgQAZfaxwvGEfg+cHsuJG9bSMxTRP8u1taDulpjeMFGSxiqTGVK8swcH1vQsBQSuFqTV+2yNxkrNwsJOcEzVlcHVQPDa0xDYU/ao7ddJQKGqs010VY3pIk63jkim45eI08y+KGOBe2t/KHm9qpm2JP4GgbFzaxcWFTVZ99oSUjIT7+6o08crCHHz59eKQbzaQ832d+fYwzk5rDLzmH2279JIlEgvb2dq644gq2bNlCOp3ma1/7Gv/0T//E5s2bAbjxxhu55ZZbcBwH27bZu3cvK1asoLW19fl5UCGEEOJ5JgFPCDGjdQ3n6EkXyuGu4Hqg1IRwNzpeaYImJiPBLO8GdT7HB8v3yxUby1AYSk2YNQfg+xrX9ehJ55hbmss20lhlZBxCyDIJGZBz/apDntaaZDjEypY6Xr12AX98znK2H+3jQF8aT2vqIyHOX9xCWzJyUssXZ5vzl7Ry/pJWdm+NkHc9XrduIceGsxTdIETXhW0WNcRYO7eBzUtaMQwFb7ikfPyzzz7Lvffey9VXX81jjz2GYRhceuml5fcvuOACfv7zn5f/fe/evWzYsOH5fEQhhBDieSUBTwgxow3miqSKDp5/ItyNCNqrVF4hWXB94iFrzF45X2uKniZSWpGnCIJgwZ3Y8GPkuKG8y9wK28sUELIMDCBmKxwvqOyNVBbHnEtrlAJLGdiWUd53V3B9IrbJ5qVtbF7aVutX86JiKEXMtnj/+WurPua1r30te/fuZd26dbzzne/ku9/9LvPmzePXv/41d911F/39/Vx88cV85CMfIZlMArBv3z7C4TBXXXUVAwMDnHfeeXz4wx+mre33+/sXQgjx4iEbD4QQM9rB/jS+r3E8PWHQXGnO9wSKoOuk5+ugsjbyulI4vj+mYmcbasxcujHnKX1+hFn6nKEUEdss/wBVShGyDGK2RdQ2sZTCHPVP2DSJ2xYR28Q0jKAKBUQs+RF8Km677Ta+8pWvUCgUePe7300mk6G7u5vPfe5zfPjDH+Yzn/kMO3fu5AMf+AAAmUyGzs5OisUin/jEJ7j99ts5duwYf/qnf4rjOC/w0wghhBDPDangCSFmtMVNCUKmQdZxGR3ndIWlmaMZSuFpjVlhmaPjaULWiddDZtB0peh5+KNCowouVP5czLZQWmMaRsVlnRDs6xud2zTgeD5FP6gJKqA+bONpnyWlUQ7i5Kxbtw6AT33qU1xzzTWcd955ZDIZbr31VtasWQPAJz/5Sa6++moOHjzIkiVLeOyxx4hGo1hW8NvfXXfdxcUXX8yjjz7KS1/60hfsWYQQQojnivz1sRBiRrNNhW0ajG92OVW404CpKC+VHDsKIQh+E65jBEsEI5ZZHqSuDIVpGiTDNpesmMPn3/QS1s5rpLGKpiee1uRdj0zRpeD5QXMYz8f1Nfv60vRliiQj9qRBUVTW1dXFPffcM+a1lStXArBw4UIAVqw40fVz2bJgtMSxY8cASCaT5XAH0NLSQkNDA11dXaf1voUQQojniwQ8IcSMtrQxQTJsVz3IWwOGCgaL26bCMlRNs+psQxG1TdbOqWf93Eb+6sJVfP9dl3LzKzfwijUL2DC/kdbE5MPJNUFTl6zj4ZZS6cj1tSYIq76P43p8+Mfb+MQ9O/BGLQMVU9u/fz/vec976OzsLL+2Y8cODMOgvb0dgJ07d5bf27NnDxCEvyeeeIJNmzZx5MiR8vvHjh2jv7+f5cuXP09PIIQQQpxeEvCEEDPaq89YQFsyQtQyg86Zo94bX/vSBNv0lFLYhoFlKOoidrmb5oipAp/rBQ1XUgWHnnSO1W31Y97/y82rmJOMVqy+aYLGKY7vT7iG1kHXTstQmIZBWyKCqRT37enkoz99XCp5VTr33HNZs2YNN954I7t37+bhhx/mox/9KNdeey0bNmzgiiuu4KabbmL79u089dRT3HzzzVxyySUsWrSIM844g7lz53LTTTfx7LPP8uSTT3L99ddz4YUXSmdNIYQQLxoS8IQQM5plGrxu7UIs0yBmm+X9ciN1udGxyFDB2ANTKUxDEbEtljUnSYbtE3PySrPrRtNaU3R9sqXllAC9mQLposfnfreL6775IF95dC+u57OitY6bLj+TtW31ROyx25iLpWWYaI3WJ7bvaU3pfoLln4saYtileXyGUjx8sId/e3D3c/7dvRjZts0XvvAFGhoaeNvb3sb111/PZZddxkc+8hEAbr31Vs4991z+4i/+gne84x2sXLmS22+/HYBQKMS///u/U1dXx9vf/nbe9a530d7ezh133PFCPpIQQgjxnJImK0KIGe/6S9bynScOsqc3Rdg0CJnByIO86+H5QUVu9ArOsGWA1jRGgqWda+fU8/TxQQbzTml/3dhmLXnXx/V9LNMgalnBUk3TYEljHFMpOgYy7N+yjy2H+/jH157NeYtb+OwbzuXv79nBL3d3kim6uKWQeCJwBg1VRs4VsUxMQ7GgPkZjbOwST0MpfrHrGO86fwXhUYPYRWVz5szhzjvvrPheNBrllltu4ZZbbqn4/sKFC7nrrrtO490JIYQQLyyp4AkhZjzbNPjCmzfTED1RifO0Lu3L0yfm4alg/5ypFCHLpCURAYIAdea8RpY2xmmKhQnbJoahUCqougHEQhbRUrgKWybLW5JjxicYSvHM8UFu/PE2HM9n9ZwGbr/yHM5b3Ixtmbi+P7aZC6XQqYNxDSHTYFlTguZY5f17g7ki33vy0El9P0XXoyuVY2/vMMeHcxXn+gkhhBDi94NU8IQQs8LGBU185qrz+MAPttCbKZSDmUKVZ92ZRmmJpmnQ3pRAKcVQ3iFTdPB9zbkLm/mzzSt56GAvjxzsYX9viqND2XL5L2pbNERtWhORik1dlFLs7Brkq1v28Zq1C3j/Dx4jU/TYOL+R3T3DDOSKeP7IiPSAqRS2oXA8n0zRIxG2Kz6foRT37+virWe3V/2d7B/M8/N7nuTRQ70MZIvB96AU9VGbcxe28Ib1i9i4sKn6L1kIIYQQs54EPCHErJB3PH6x6xj1EZuC65NzvfISBNfXpf1vHqaC1S1J0kWXQ4MZskWXkGXQEovQlc7ziXt2sGFBI++/ZC3//JudoIJKXtS2iIesaTtuGkrxm31d/O5ANz3pfPl1z9eETQOmWGF5PJUjYhnUTzJmoWvU+aZyeDDDbfc9xSN7jpNMZoCgyjkiV/T47f4ufrPvOKta6/nry9aysrWuqnO/2Liez9PHB3ni2ACpQjDMPBm22bSwiTPa6rEmGXIvhBBCzFYS8IQQs8Lf3/MEu7qHaI5HaIqFGc47DOSK5VEEtqmIWCaZosvhoSy69NqihjjN8fCYitwTRwd49GAfQ/kibaVlnLXYdrQPWxk0xcN4pXBZ9PxgSLqaYj6f1vRk8pMGvLzroUtVuMnsPD7ILf/7BH2ZwrT3aSjF3t5hbvjRVm66/EzOW9xSzeO9KHT0p/nW9gM8cqiP3nQ+GJcxMhdRa770sKYlEeH8xc28ZVM7S5tk6LwQQogXBwl4QogZ72B/mkcO9pb/gB4sQwxVDEqHh7IM5x3WzKknMkXDksFcgc5UHts0qhpcPtpQLmjWMpgvkiq4eFqTK7r4pW6ZlhEMZ68U09IFl5zjErUn/viNlEZBTKZzOMvf/eLJqsLdaMN5h0/9cge3ve4cVrzIK3me7/PvD+/hB08dpugGy3jtcVU6pYIZiUO5Ir/Y1clv9nXx+jMX82fnr8QwpqvhCiGEEDPbjFmbsnr16vNXr1796xf6PoQQM893njxINWPiskWHY4NZMkWXpzoH2NU9xKGBDDnHnfBZvzTHoLvKZZEjMkWX3kyBnnSe4byD1hqDoFqmVHDeguuTKbo4fuWb7p0koE01QB3gcw/sorfG+x0xlHP43O92ndSxs0Xe8Xj/3Y/xzW0d5XBXjYLr899bD3D93VvIO9KgRgghxOw2IwLe6tWrbwC+BNS+VkoI8aJ3sD8z5ftaaw4OpNnROUTB89BA0dPkHI/+bIFd3cPs70sFoa5kZMlmtuiW92ZNx/M1e3uH8XzN+EKPZRrl1iojRbiC61UMeY43MXz4WnNxe9uk1+7PFHjscF9V9zmZJzsH2NebOqVzzFSe73PDj7byVOfAhDmH1TANxVOdA9zw4614fvXhUAghhJhpZkTAA/YBb3yhb0IIMTM5U/yBW2vNgf40/ZnCqNEJEw3liuzrPRHy6iJBN0tFMKKgGh0DaQpuMMh8/HUsQ1X8gVpwPcZnvEqFvbpIiD/YsHTSa//39g6Kpzr+QMN3nzx4aueYob7w0B52dA5MucR1Okopdhwb4IsP7XkO70wIIYR4fildzbqn58Hq1auXAt/ctWvXBVN9buvWrUuBA8/HPQkhZoY7th1nV3/lpYl9OZfenANKkR81aNxQirA59g/7WmuaIhZtsSDcHUoVyLmaZMhkfrzy+IIRRV/TMVQIBpp7moipJoQJx9flpi/lawK2EYxKGJGwDRYkTuz787Xm0kV1vHVN86TX/7uHjnI8U12lcSr1YZNbL150yud5rkWdNwCQs++u+dhDwwU+/djxCd/9ybIMxYfOncviuqmXzAohhBAzQPs555zTMfqFWdtkZf369YTD1f3mu3XrVs4555zTfEfiZMmvz8w1U35tXm918LkHdk2ommmtOZodxrKCH2XKB7RG66CxRqUW+HltEE8kMJRirhHi0ECaSDhMMhmf8h4OD2YwTBNLa1B6QuMOANMMOmG6vi43WFEEFTvTNFGle66PR0kmY0AQ7s5e2MxtV54zZYMP68kUSWNspTGVSpFMJqe874n3aLBh46YZNx5g77Yg8K49u/b/vf30F08SjT+3XTB3ugmuPuesUzrHTPn/H1GZ/PrMbPLrM3PJr83MUCgUeOqppyq+N7N+hxdCiAquWreIptjEv9AZzjvkRi1bHMlHhprYOXFE0fXozwZBqSkWdOIMmdMv60sXXNCauohNazy4F01QtSt6PkU/GJMQsUxsw2B0LcnXlKtLpmHQlogCwZ6+l7a38Y+vO3va7o1ODU1DpuL5msKpLvWcQfKOx6OHep/z8z58sFcargghhJiVJOAJIWa8kGXy9vOWTVgSmXO9MaMIrFKwClmVRxRAsM9qJOAopVg7t56r1i/G01MHKMfzSYRt2hsTJMI2OccjU3TJux5Fzw+GrzsuOcfDNBRRyzzR7EMFlTuAZMQiZBmcu6iZv7tiA3//6o1VVdPC9hQT1Gtgmwax0KxdvDHB1iN9DOer20NZi+F8kW1HTq2pjRBCCPFCmDG/y+/atasDmHL/nRDi99fr1y+m6Pp86ZE9OK4fhL1Re4iDwUu41sUAACAASURBVOZGMNC6ynNqrblwaRs3XX4mP376CPfu6WRH5+CY430Na9rqSBWKJEI2PZkCx4az5ePLs/nKn9fkXQ9LKSK2iQZcz6c+YjOnLsrbz1vGm89ayrz6WE3PP78uwkC2tvl3lcyti55SI5KZZufxQSzjuf+7SssweLpriAun6GwqhBBCzEQzJuAJIcR0rtm4lAuWtvLtxzt4+GAvg9lCOdjVR2xaEhF603mODuXwtUapoNlKaNTQca01lqHQWrOkKcH1LzsDpRRXrl/ElesXsadnmEcO9pB3PUKmyYb5jWxY0MQ7vvEA24/0B+FOQ8QyyLvg+v6EwKQAVwdjGqK2iW0arGyt4643ns+6eQ0n9eyXLp/Lk8cGT2oEwAitNRe1t5708TPRUP7UG89MZvg0nlsIIYQ4XSTgCSFmlUUNcT546Tq01qTyRd71rYfozxbpSefZ15vC8XxsU5F3fDwNaF16zSBkGpimQWM0zLp5DfzDqzcRD4/tnrmytY6VrXUTrrumrZ4fP32k/O9KKSKWQdEL9uGNruYBoIPxDlr7JCMhNi9pwefkuzxeuX4R39jecUpVvHjY5i0bl5708TNRNd+o1preH3yeaPs6EhsuCV5ziww+8ANyex4H3yO66mwaLn4DygqNOQ7g5ptvJh6Pc+ONN56ORxBCCCGeU7IHTwgxKymlqIuGuXTFHDqHsxwdyuJ6PgowlSIWsghbRrni5Xg+Rddj3dwGbr/qHO68+iXURUNTX2QUUynGr/1UShG2TOK2Sdg0MUp77Txf45XCge9DUzTEI4f6eO/3tvBX33mYX+4+VvPz2qbBpSvaxgxrr4WvNZuXtk4ItLNdMjz131Nq32fwV9+mcPCZMa8P3Pct8vuepOmVf0TLG9+D23+c/l98fcK5/+3f/o1vfetbz/l9CyGEEKeLBDwhxKz20qVtwVK6ccFHASHDIGabJEIW8ZBFImzz15es5fylrTXtQ/N9zZOdA9SHQ1SaHaqUImQZmIaBUgrTUFhG8J8YELGDH7WGgl3dw3zyl0/zlUf31vys//fC1WyY31jxHqaitWZ1Wz1/fenamq85061qrcObZP6dO9RLz3f+mXzHTlQ4Wn7dy2XIPvMoDZf8AZElZxBqXUDTq95Bbs/juIM9ADiZFPd+/lb+8z//k3nz5j0vzyKEEEI8FyTgCSFmtZ/sPMry5gSxkF0OPsH4Ap+c65FzPbKOC8Dy5iS/7eiu+RoDuSJHhrIsaYoTC1kVA1bR83G8cZ04tSZimhQ8PeH1r23dz/d3HKrpPkzD4NbXncPGhU1VV/J8rTljTgO3ve5sQtZz04nzueB4Pt95ooMP3L2Fd33zd/Rm8vRlC3zoh4/xs2eO4Fc5tPwli1uIhio/V7HzAFbTHOb84Q0YoVEBbygYqxCa115+zUzUY0QTFI7tB8BIddOcjHL33XezaNHMGwwvhBBCTEb24AkhZq2i6/Ho4V5s02RVa7IcxFIFpxwQTEMFc+m0Zl9filTB4SMvP5OGGpZn5hwX1/MJWyYrWuro6E8znHcYKQJqGBPutNYYShG2zWB0Q6WsouGb2w9w5dqFNQ0dj9gmt195Ll9+dC/ff3QnGd/HrNBF0tM+c5MxLl7Wxp9vXjXpXMDn21C2yJce2cNDHT30ZQvl4fXePA1oth3pZ8vhXr722AEuWtbGn56/gvAUwTQRtjl3YTMPdvRMeC+25jxia86b8LoRD/ZYeulBzNJ/94sF/EIGP5cG4GWbN/PxV//fU31cIYQQ4nknAU8IMWsN5ooM5R0spVBKUfR8fK2JjQoEo5diOp7PocEMn/vtTv7mlRurvk7UtsohzDQUy1uSpAsuvZk8wwWHvOPh+6WunYbCMkxsU50YoTDJatCu4Tw/2XmE15+5uKbnNgzFdResZKM1xFDdAu7Z3UlfJk/e9QlbBo3REJetmMur1syvGP5eKAcH0nz0p9s5OphFKVUOd+OZyqArleM7j3fwxNF+bn3t2TTGJw66H/HGsxbz0MGeykG6AivZSGjBCgbv/y7Nr34XKhxh8DffAUB7LkrB1WdK1U4IIcTsJAFPCDFrGerEzLus43I8lQPNlPvrFPCjncd444alnDGnupEFTbEQixpiHBvKlV9LhC0S4QS+1uzuGSZbmr83/toaSIYqNzYxDcWv93bVHPDKz6IUL181j5evmhl7xFzPpz9bYLjgELMtGmMhonbw20zXcI4bf7SNnnS+6v2PSin29AzzgR8+xl1vfMmkDWI2LWzmFavm87/PHq363E2v/GP6f/7/0fkfHwXTJnHWRdgtC1GhCK9YPZ9NC5ure2ghhBBihpGAJ4SYtRqiIVpiYQZyRXrShap65puGQdgy+O6Th/joKxpwPZ+fPXOU33V0k8o7mIbBgvoYbzxrcXlcglKKl7a38e3tHRMChKEUfmlJZiVR2yQZmbxzZU8mX/0Dz1BHBjP8z+MHeehgD8dTeXzfR6lg+eTZC5t4zZoFfPWx/fSka39WpRQH+9N84p4dfOp1Z0/6uesvOYNd3UN09KerCnlWXRNtb34/Xi6DMi2MUJhjX/wICxYu5PqXnVHzfQohhBAzhQQ8IcSsky26/M8THTzbNUxPJs/hwSwDuWJQQZvm2LqwjWUYbDnYy092HuFrj+3n+HBuzADxp48P8r+7jrFxQSM3v+IsGmJh3rppKT986ggF15twzsn6gWigMRqa8p4c35/i3Zkt73h84p4neeRQL54XDHy3DQVGsES26Po83NHLT3cepSuVZ3FjnHio9t92lFI8eqiXg/1pljQlKn4mbJl8+qpz+NCPttHRl5oy5Gmt6b37X6m74DWES41WCsf2g1Pgs3/+pin3/AkhhBAz3czZnCGEEFX4xrb9XPvV+/nKo/t49FAvjuczmCuSKbrkHI/xDSvHaynt5drfl+bT9z1NTzo/JtyNUMDjR/p57/e3MJQtUh8N85cXrqq4oa7S8RpIhm3aktEJ740Ws2fn37Ol8kX+3/ce4cED3aX9h5MHqsFskYLrsb8vFYy0OEn/88TBKd9vjkf41zedz+Wr502Z9JVSGKEIQ7+9G6evk2LnAfK/+gbvfMc7WDq37aTvTwghhJgJJOAJIWaNr27Zy78/tIdM0UUBru9jGQbzEhHQGl9r8o47aUVtbjJKMmJTcH2OpbLTjhpQSnFkMMOt9z0FwFXrF/H/Llo9oetlfFxI00BdxGZhfZR03iGVdyhWqPwBrJ1b3T7AmcT1fD78k+3s7526UgZBp9PhYhDqPF9zcCBD1qn8XUznoY6eSb/HERHb5KbLz+LW157NSxa3YBqq4q9z3WVvxkrU0/edz+L88qu8/S1/wIf++oMndV9CCCHETDI7/+pYCPF7pz9T4BvbOvB9n85Unu5Mobxc0ioNFvd8jQ8UPI9oaZmdD0Qsk7ZEmJZ4BIDudA5LBcdMRynF1iN9HB/OMrcuxtVnLmbjgka+88QhHjzQTX+2QEs8RF+2gFJB2LMtE8fzeKZ7uDwzTylFImzRGA3THAsFwUjBm846uQYrzwVdCsW1dtr83pMH2Xl8cNJ9h6MN5h30qAqf5/t0DmdZ3pys+X6703me7R7irPlN0372vMUtnLe4hYFsgQf2d3PgzC+Xq4d1EZv2pgQX/dXraIxN3p1zxNe+9rWa71UIIYR4oUjAE0LMCt98vIPhfJFnuobJFh00qrxa0vE0Go3WEDZBoUhGbGzDIBm2aYja5YChgaFckfpIqOqOi67n8z9PHOI9F68BoL0pyYcuW0fh4jVsOdRLb7rAf23bz+H+DMdSOQYyQafI8V01MwWXdN5hIGeztCHOeUtaWXYSQedUDOeK/Pf2Azx8sJeedAHX94nYBsuakrxyzXxeuWo+xjTB9769x6sKd0Cp4crYz6YKLoXSSIdaWIaiK1Vbo5bGWJgr18vIAyGEEL8/JOAJIWaFJ48O8EzXEBnHKwcGX1OukI0swst7EDF9EiGLORX2v3m+xtPQmoxUfW2lFF2p3ITXw5bJRcvmAHBReysX/cvPSRWcKcOPUopU3qErk+cj/2dd1fdwqnxf88/37+Se3Z3kR32HEMwHfOLYANuO9vG1Lfu47oJVXLZybsXzPH6kn109qRrW91fYn6g13ekcixriNT2D1lQdLIUQQojfVxLwhBCzwpOd/cHeO6XQgK+Dit3IH/cVo0OepjdToC0ZnRAvQqZiUUOMSI2dEifb1zfiJ88epTkRIV30yDrupD0+NBAP2bTEI/xo51H+5PwVNd3HyfB9zU0/2cbDB3sxDTVp5dJUBsdTeW697ylShSJXrZ+4fPRX+47XtHnbNBRaj23CooB00a3xKYJwPqeGYD79+Xx+sesYBwcy5B0P2zRpiNpcuXYhddHQc3YdIYQQ4vkkAU8IMSuMnm+mx4W7SvqyBXYeH2R5c5KIbaLRrJvbwFs3LeUff/l0zQGjITr5LDutNffv7SJimaxqq2MwV6Q/WyBVcPFLydAwFImQRXM8TENpdML9+7t450uWV71U9GR9+tdP88ih3ordPitxPZ/PP7ibOcko5y9pHfNe5iS+t2PDivF9TvzpEnMF8+qjrGmrr/m48bpTOb65vYOHOnroHDciQ2vNN7Yd4LzFzbxh3WI2Lpx+v58QQggxk0jAE0LMCkVflyt048NdpagQtkwyRZfeTJ5lzUk++dpNbFrYDMC5i7v49d7jVV/bR/O6tQsnff8HTx3mdwd60ASVqkTIYllTAl+fmHNnG8aEgNXRn+bhjh42t5++1vzHh7Pct6ez5qWNRdfnv7d1TAh403UeHc82TerCNkPjxiPUGu+01mxe0jqhg2mt7t5xiH97cDdFN1imOv7XRClF3vH47b5ufrO3m5evnMtHLl9fcyMaIYQQ4oUiv2MJIWaFiGkEyzC1riocmEphmwZh26TgenzxoT3lFvtXn7mI6s4SWDunoeI4g+1H+vjgDx7joz/dTk8mT2+mQE86z/7+NLu6h+nLFohYJhHLrFg9M5RiT2+q6vs4Gd96vAPHnXyYerrgcHw4y7GhLMeHs6QKJ4LYjs4B9o27v3ho8krmZJpi4Qnftllj4LRMg2s3La352qN9Y9t+/uW3z+J4Exu/VGIo+OWeTj7yk+0nVXEUQgghXggS8IQQs0J9JES4tG9uuuodBH84V1BuKPJs9xBf2bIPgPXzGnn9+kV4evLgMyIZtnnvRasnvH7vrmP8zU8f5/Gj/Yw/iwLyrsfRoSyHBjPlRjCVeDVWxGqhteahjt4JYcbXmu5Ujl3dw+zpTXE8lac7ned4Ks/e3hS7uofpTuXwteZ7Ow6NOfaseQ1VfW+j1UVs4iFrzPcQtavfA+lrzYVL25hXH6vpuqP9cvcx/vORfTUfZyjFlkO9fPpXT5/0tYUQQojnkwQ8IcSscGF7K6YCq7RUTjP1Mr+8648JT4ZSPLC/uxwy3nvxGVxz1lImK+T4WtOSCPOJ12xk9Zyx1bunOwf57P3PjJnDV+leFNCXKUza2t/XmvpI7RWxaqULLj2Zsdd2PZ99vSmODmXJVWgGo4Cc43J0KMve3hRHBtJj3r981TwW1tfW/VIpRXtTnLAV7ArQQEuiumYpWmvWzKnnpsvX13TN8ef4xtYDNS8vHWEoxb27j3FoIHPS9yCEEEI8XyTgCSFmhZtfuYFE2MZUQcOS6fqF+FqTc7wxSwEP9Kd4tnsICELHuy9ew5evvZDXrF3AnGSUiG2SjFisaavj3Ret5utvu5j18xonnPvbT3SQd7zyvzfFwpMOTVcEDV8qVfHqwjZXrFlQxdOfnLzr4Y5aWuhrzf7+NOmCM+0SRaUUmYLDr/Z24Xj+mNcvam+bsipZiW2aLG9JELFNYrZJIjT9FnBfa85a0MTtV55DqMaup6M92NHD/v709B+cgudrvv14xymdQwghhHg+SJMVIcSssKgxzi2v2sDf/vxxetP5CV0ZRxvZ76YY2/XRUIr+bHHMZxc3JvjgpcE8uvHt/CsZyhXYcqh37PWUoi4SYiBbqHhM0fXoyxZpiYfHvP6SJS3Eqgg6JysesgiZRnn/WOdwlkwV4W6EUoqhfJEvPLSL/3fRGeXX//Dsdu7f31Xz0PGwZbKmrZ6zFzZxfDjH4cFMxeYlnq9Z0ZrkkuVzeOum9lNurPLTZ46c8vw8pRQPd/RQdL1TCptCCCHE6SYBTwgxa/zpBStpS4R593cf4ejwxHChCKp7IzPxQqZBxnHJOR5R20QDreNC1pjjqwgBv9rbNWFQOEBbIsJw3sHzJ+5PG6mGjQ54yYjNH57dPu31TkXUNllQH+PwQLAPcChXfbiD4DuM2BYP7O/mLzevLgetumiIv7tiIx/+8TYGc8WpTzKaUvzFBSt586alaK355Z7j/HrvcYZyRaxSE52Ll7dxxer5nL+k9TkZH6G15smjg6d8HoDeTIFf7z3OK09j1VUIIYQ4VRLwhBCzhtaaXd0p6sI23UYBT+uKA8hHwp1tGqBhIFcgasdY3pxkZWvdKd1DrkK4gyBMLWmMc3AgjVfhprxRu/QSYYsbL1tHe3PylO5lOkopXrasja8/tp++bJGCW/neJ2MoRVsiwvHhPD975ihXrl9Ufm9lax23X3Uut/z8cQ4OZKacsae1Jhqy+MsLV3HlukXle7t81TwuXzUPgL3bgvB7y0Ubq76/AwcO8IlPfIJt27YRj8d5wxvewPve9z5s+8S+xlTe4eD/3Em0fR2JDZeUX/cyQ3R+6aMTzjnvzz+FGU1UvJ5pKAZyTsX3hBBCiJlCAp4QYtb43O+e5SfPHEErRSxk4fqaouPijJ6Lp4OwNXpPnK+D/VyXLJ9zylWhqG1OupSzLmKzrDnJ8VSOVMENPld6zyCoLm5a0MQ7z1tecezC6fCWjUv5/o7DHBrI1PzsyXCwxBPgic6BMQEPoL05wZffeiE/e+YY9+4+xo7OwTHfjev7LG5McFF7K2/d1E5dNPTcPBTgOA7XXXcdGzZs4Hvf+x7d3d3ccMMNWJbF9ddfD4DneXzyEx+ncPAZou3rxh7f14kKR5n7x2NDnhGZuoGMW6FCK4QQQswkEvCEELPCcK7IT3cexVAK21CgNbahsMM2edcLGoGMCjCe1jhe0GtzKFdk85IW/vjcZad8H5etmMMXH9pNYZLZcvGQxfLmJAXXpyeTx/V9tIZXrZnPR19xFvNPodX/yYiHbd68cSk3/2x7TcdZpsG8uhP3mhvVVGY00zB43bqFvG7dQvb1pnj8WD+5oottmixqiLF56XOz1HK8rq4uzjzzTD7+8Y+TSCRob2/niiuuYMuWLQAcPnyYG264gePHj2OEoxOOd/qPYzfOwYxXX9HVWtc03kEIIYR4IUgXTSHErPDtJw6WO1c2xsLB8suSiGUSNs1g750fdM/MOh6OF3SRjIVMOgYyvP/uxzg6eGqt7uujYc5b3DLmtUwxGCtweDDDkaEsmaJL2DJYWB9jaWOCC5a08i9vfMnzHu5G/PG5y1g3t6Hq0e6mYbC4MT4mzNjTtS0FlrckedNZS/ijc5fzlk1LubC97bSEO4CFCxdyxx13kEgEyymfffZZ7r33XjZv3gzA9u3bWbZsGd///vexIxO/d7fvOFZjW03XVEpxzsLmU795IYQQ4jSSCp4QYlboHM6Vw4KhFA3RED3pfPm1kGVgeJqcH1TtLGWgDEVLPEx7U7DX7enjg3zwh1u54w3nMbduYlWnWm/esJTHDvcFw8GHc2SKwTw5V2t8X3N0KFvek5cM27x27YKK3SKfT69du5CDA2n6MkXyrjdh/h0AChIhm/n1MWKjwp3WmtYq59a9EF772teyd+9e1q1bxzvf+U4ArrrqKq666ioAwrY5oeuq038cZZp0f+szuMP9hNoWUf+yN2JPEfo2LGhkSVPl/XlCCCHETCEVPCHErDBSCAq6QQYNQ4qeT7rglKp1PkUflKEwDYOIbdIQDZXD3YiedJ67Hni26utqrfndgW7+a+t+/nvbAXb3DLFuXgMvXzGXQ/1pskUX19dkHY+cE9yT4/kM5R12HBug4Hq88czFz+VXcVKu2bCE+XUx1sypZ2lTgrpIiKhtBXPpQhZN8TBr2upZ0ZIcE+4AbMvgTWe98M8wmdtuu42vfOUrFAoF3v3ud094Px6yJow2cAe68At56i96Pc2vuw6Uouc7/4yfz1a8hqd9XrV6/mm5fyGEEOK5JBU8IcSssLqtjnt3HePwYJaBXBEF5QYgjq/JOMGeOAUYpqIpFmZhQ2zMoPMRW4/0MZAt0BibfGSC1pr/2nqAe3YdG9Ml8t8fhuXNCZ441kfMtuhO5ymUBoEbSoEKjjUNhWWY7O4Z5rpvP8QXr7mAeNie9HqnW0siwjmLm3mko5fGaIjGCg1PCq7HUL6IQhGxzfL3e/aCZubWvTDLS6uxbl3QQOVTn/oU11xzDbt372bVqlXl9w2lWNaU4LDW5Xl4c//kFpQyUFbwaxJ6zbvo/PLNZPduJ7H+pROusbghwStWScATQggx80kFTwgxK7x+3SKG8g4D2UJ5eaFSCqPC0seQZZAqOPSmKw/iLjge9+7unPRaWmv+4Z4dfOmR3RwZyo4ZAeD7mu8/eYgnjg5yPJ3DHdUp09Ma7WtsAyKmQcgKhoxvOdTLx3/x5Mk++nPmj85eRiw89u/1tIaeTJ7dPcPs7Bpif1+afX0pnj4+yJ7eFKmCw7WblrxAdzy5rq4u7rnnnjGvrVy5EoCBgYEJn/8/K+eypq0eXVqradjhcrgDUJaNWdeElx6acGxdxOZvX3kWRhX7EIUQQogXmgQ8IcSsoIGwZYJSOJ5PzvFIF12yRRffPxGyCIpouJ7PseEcx4ZzE86llKLoTd7u/utbD3DvnmOYauyPSF9r9vYOkyo6pfvQE/Z2eUDeg2yp0Yvra4bzDlsO97KvN3UqX8EpWzu3gb++dG25eYrj+ezuHebIYJZsaR/h6H+yjkPB9fiPR/aRKcys+W/79+/nPe95D52dJ4L6jh07MAyD5cuXT/i8ZRrcduXZnDGnASc1yNHPf4jCkT3l9/1iHnegB7tpzpjjGqMhPvaqDac8P1EIIYR4vkjAE0LMCj95+gi2oTAMRcH1cLUuDxT3odwh0igFLwhCSk86PyHM+VozN1m5aYjWmnt2TQx3AEcGM2SKLqDKwc7Tunz9kWA0ck++1uRdj1TBwffhezsOnfwX8By5ZPlc/v7Vm1jWnGBvb6oc7EbTQMS2aG9M0BKP8FTnADf8aGswimKGOPfcc1mzZg033ngju3fv5uGHH+ajH/0o1157LS0tLRWPSUZC3HH1efzB5jOJz1vCwK+/Q+F4B8Weo/T/7CuYiXqiKzaitSZkGlzY3sY/veFcNi5oep6fTgghhDh5sgdPCDEr9GTyHBzM4Hs+8dLsu2JpeWTwjyovkdTGibKarzXd6TwLR40omFsX5dIVcyte54ED3Rwatedu9HmG8m65a6dGjxk7oMb9d62D8AeQd322HukjVXTYNL+Rl6+ax2CuGDRt6U1RdD1iIYtzFjbzxrMWB5XK02jTwibWzWvg8aP99GWDhjV+aX9a2DJpiYdIhk/s0VNKsbNriK9s2cefXbDytN5btWzb5gtf+AL/8A//wNve9jZM0+T1r389H/zgB6c+zjR478vO4K3f+E/e9zcfY8ePv4hbLBJbuob2P7yelpZ6zl3UzLWbltIwxR5NIYQQYqaSgCeEmBWODGZJFZxykwxDqQkNVAzA1xPDVn7UkG5fay5fNa/i2IKBbIEvP7KXPb3DeL7GMBQJ26I1GSGVL+J6HihVecTAKOODnwKKrkd3Ksff/+IJ/u4XTxCxTDxfj5kTt/VwH99+vIO3n7ecq09j503X83nwQDd1kRB1kYnNVioxlOKB/V1cd/6K0zbbrlZz5szhzjvvnPZz991334TXWlua+cYX7jodtyWEEEK8oGSJphBiVsg63phlk+P3vkFQxRu9THI8T/tcumIu73rJignv/fyZo/zRfz3Ao4d6yZfGLhQcj95Mnme7h+jNFFClcGcaxoTr63H/Ofp1VfrPgutzZCjH052DPNs9POFODaUYzjvc9dtn+fbjHZM8xan76TNH6U4Vaj7uYH+G+/d1nYY7+v2gtea6667j61//OgCPPPIIq1evrvjP3XffPeWxQgghxGSkgieEmBUKrkcybDGUd4JRCAZof1y1ToEJLKiPkSl6pf1yGstQrGqt4+Wr5vKms5ZMqEA9sL+Lz/7mGVzfJxm26SQ3plMnGoYLDkopbMNAaz0hyMHEcAelCl7p//ga+nNFDKXIFF16MnnaSgPENZTn+6EU/3L/M1y6fA5tyZMfyD6ZgwPpCUtQq2Eain19aS6ZmI9nnMFsgV09wwznHVriEdbNrZ8wC+/55HkeH//4x/ntb3/LpZdeCsCmTZt44IEHxnzuzjvv5KGHHuLyyy+f8lghhBBiMhLwhBCzQsg0WNyYYE/vMHnHwzYMHPwJoSpkmcRDFq3JKEprHN/nn69+CecvaZ303N/c3oHrBw1E4iGL/5+9+46Oq7oWP/49906fURn1YhXLvXdwwMamJHEgGAiQQDpp7z0ehBAeECAPHIohtEcNIeGXQHBISIFQAiYQ04u7jXuRZEu21fv0mXvP748ZjSWrjYwL5XzW0rJ0656xl3z3nHP2dtssBCKxXsfoCEIxg6gwMfvL5AYgRKKdgxDEDCM5NVQA7cEIuR4HdZ0B2oPxipXdadf+dskFj7/JjV+YyhlHuMF2dDgv4NBzDWPog44TKSUra5p5ces+1tS0EIzE0DSBYUpyPA5OKs/lwmlllGV5jmlctbW1XHPNNTQ0NJCefrAap81mIzf34L/LzZs388wzz/CHP/wBj8cz6LmKoiiKMhA1RVNRlE+EKYVeNAFjc9LJcdux6RoW/eBUyUSPcaKmSVWrj6317VS3+piQ737XBAAAIABJREFUlzFocre5ro0tDb17n+V5HIlht4MsuoZpEl83R2q/PLuLv0A8Qe2u7tnNH4mxq6mThq4QkR7JHcSna+5q7uSOFVt4fNXuFO6WOrft8D7bk1LiOY7N2gcTM0yWLN/Iz15Yy/vVTUQNE4uuoQmBVdfoCEZ4edt+fviXD/jzuupjGtv69eupqKjgmWeeIS0tbcDj7rrrLhYtWsSsWbOGfa6iKIqidFMjeIqifCJ8bUY5/9hUgy8SoyTTjZQQihk0+oLUd4WIxOLNCuyaniy+Yrfo1LQH+OPaKr4xq6Lf62480NYnWct02ihK9NHrziCTa+xk/HtdE2j0rpZ5KEm8qItV04ga5qE5I6GYgZQw0GzJmCmRUrJsbTWlXjenjSkc6m3qxTQl+zv8dIajZLnsFKQ5EULw+bGF/HXD3mTT71TZLDpfGl88rHOOBSkl//vyBj7Y29Rv8ZyeDNPkNx/sQgIXzxx5TOJbvHgxixcvHvSYDRs2sHLlSl5++eVhn6soiqIoPaWc4In4ohWPlLIr8fOFQCnwTynl9qMUn6IoCgAum4WfnjqRO1dsIRQ1EAKcVp1Mp52WQAQpJVZdJ91uxW7RyfXYcVrjv+J+v2o3J5bmMLqfZtUDJTl5Hgcum4UmX4iucJRg1EAIgUWLj67ZdJ2YYRJIjLwNlCpJ4g3Fu5M4KcFmiY8sGaZEDPJbuDvvk1Ly3ObalBO8jmCYp9bt4Z2qBmraAskLjc9LZ35FPl+bUc60okw27G9L6XrdZpVkk+X++LUOeGpdNR/sbUpWWB2KAH63ajcnlOYwKufjMSr21FNPsXDhQkaOPDZJp6IoivLpldIUTSHEFGAPcG3i53uAPwO3A+uFEKcdrQAVRVG6LRhVwB1nzeTE8hwsmkY4ZtDkC+Ky6ozM8jCzOIsxuemUet3J5A7iSdXfB2gyPjYvA8Psv4G3x2ZhZJaHyQWZFKY5cVl1RuekM6kgE6/LRndad2iT827d25L7RXy0Lxg1CMUMtCFaLvTsh7eprp3dTZ2Dv0HAjsYOfvTXD/jrhj3Ud4WwWTRsevyrqsXH71ft5tK/reTU0QXDKrRis2hcOK0s5eOPFSkl/95Zl3Jy1800JX/duOfoBDVMkUiEV199lXPOOed4h6IoiqJ8CqQ6gncn0Ag8JYRwA/8J/B74UeLP24DPHZUIFUVRephS5GVKkZeuUJRGX5AfP7uaYCQ2ZG+2bfUd/W6fU5LN6Nx0qlt8A56rCYHVomG3auS47WhCkGa3EorEEEQIxST9lR7pOapnyO4N8UZ9RkzitA5c1VFKiddp67mBDQda+x2F7NbYFeTG5Rtp9oUHfD80Iahu6eIfm2r59uwKnlhTyQD5bZJF07j05HFML84a/MDj4L09TVS3+oad4AGs3BtvieEY5O/hWFizZg2GYbBgwYLjGoeiKIry6ZBqkZWTgP+VUm4Fvgg4gMeklCbwODD16ISnKIrSvzSHlVE56ehCpNR4OzpAFiOE4CtTSgdunpeQYbeSnUjuAEKRKC3+MP4Bkrvk9RN/9uyT172OL2L0rQLazW61kN1jOqQQAmOIROzJtVU0+0KDH5S4VmVLF02+MCMy3Oxt87Opro2tDR3sbfMTiMYriBqmychsDzd8fjJnTyoZ8rrHw+qa5sNK7gDaAhFW1TQf4YiGb/369UyaNAmXy3W8Q1EURVE+BVIdwTOB7prhZwKtUsoPEj9nAQN/9K0oinIU5aU5Bh19Sx7ndgy478yJI2gJhHlidVWvNXkyMbeyuyBHdUsXH9a10+IPsq2hk9iAVzyoZ6NzTdCrxYJhyuQIUs8UxaprjPS6eyUuppSUZ7kHvE8kZvBedVMKEcWvVdPm4543tjAuL4PSTBftISvtgTCRmMn+9iCjcjzcduYMThqZl1ICfbwEo4fftkET0OoffsP3I23Hjh2MGTPmeIehKIqifEqkOoL3PnC1EOJrwNeAfwAIIaYDNwHvDHKuoijKUXNyeR7mENUgDVNy6piCQY/51uxRPHDeHE4qz6UtGGZHYwdbGtqobfOT67ZT6nXz/RPHIJHsbPIRG0YByu5DdU3gsel4bDpWXYsXYDFNjES1TF0TZLpsjM5Jw3lIK4PyLA8nlOYMeI+Ve5tp9g89eielpLrVR1sgQiBqEDVNhBB4nTZGZqcxJjf+BfDCln2pv8jjxKYffrcfCbhsx3d6JkBLSwsZGRnHOwxFURTlUyLVEbyfAC8CfwJ2AksS218COoD/OeKRKYqipOCimeW8XlnP/vZAv/ullIzPT+fMCUOX9/fYLVS2dJHpsJHpsCVHrlr8Ye57cxsnlOWQ7bITHWqu5CE04qNyPdfcuTTQkAihYbNoFKQ5yXbZ+y18YkrJqaMLBh1JawmEk+0hBtMSCNMZjCCEwJTx5NfaT46kCcHKmmae31zLOVNKU3qdx0NhuhNTysOapqlrgkkFmUchqoGtWLGiz7Y//vGPh32uoiiKohwqpY8+pZQ7gXFAITBBSrk/seuLwGQp5bHtGqsoipLgtFq468uzGJub3qcapilhapGXO788C8sQIz2mKVmyfCMNXSFEP+v6dE3wwd4m3qqsx27Rh6yA2a37GKve9+i8dBdpDiu6EOR5HP0md4Yp+dzIPL41O97HLxQ1+NvGPTz63g6er2xjR2O8eEym09Zr+udA2hLJHcSreg6WFGpC8O9d9UNf9Dj6ytQyMhy2oQ/sx7SiLIozB572qiiKoiifRCn3wZPxhSkNh2zbdMQjUhRFGab8dCe/uuBEVte2sGJXHf5IDI/dypfGFzG1KLXKj//eVUdVaxe6GDgRjBmSrrCBRqI5uRBIGR9h67nWrqfu4pnhmElMk1h1LZlUFaY50DWNZl8ITRMYhplMvkwpSXdYOW1MAZfPm0DUMLn/re28U91IZyiCJgRdXV283bySyQWZXDyzHK/LRmcoOmD8UcPEF47SnZo6rfqQie+HdW00dAbJT3cOetzx4rDqnFiWw2s764Z1niFNFo0vOkpRDc00Ja/s2M/m+nbCMRO7RWN8bgZfmlA85N+JoiiKogxmwARPCNHFwL17DyWllGoBgaIox40QghNKcwZdpzaYNyobBk3u4vcgud5PSpkY6QMNgUQy0FJAjfgv05gpiZkGVk1QmO5M9upbOKaAn58xhWc21dIWjE+1LPO6OX9aGU6rhUjM4Mp/rGFrQzuaEL2mIwpgS307t766iZJM16AJXsQwkDL+OiTxUb+hRiFNU3KgI/CxTfAAvn/iaDYeaKXJl1rBFCkls0bkcPoQjePr6+tZunQpK1euxGKxcMopp/Czn/2MjIwMAoEAd9xxB8uXL0cIwaJFi7j++uux2+OVTw8cOMBdd93Frl27yMzM5JJLLuGb3/wmhmny2Ae7eLOykQOd/l7/5v65ZT/L1lYxf1Qe//m5cSrRUxRFUQ7LYCN495B6gqcoivKJ5gsPnBh1s+s6NotOLNGkvPsXpBAgEEhBckSvp56zIKWUSCmS6/FMKTm5PJfiTDeXzx/f730feHt7MrkbSChqUN3iw2O34Av3X99T65HOOSw6uZ6BK4sejBecH4NCJIPJS3Ny86Lp3Lh8w5BJniklUwq93HbmDLRBGr0bhsGll16K1+vliSeeIBKJsGTJEq699lp+/etfc91117Fr1y4ee+wxotEoV199Nffddx/XXnstkUiESy65BIfDwbJly2hra+O6665DAuvTxrF+XyuaEH0+UNA1QbM/zN831rC9oZO7F88+7j36FEVRlE+eARM8KeWSYxiHoijKcZXKg7QQkOOy0eQLowNhw+i1Vk8QTyB6TtXUBcnETE80TNc1jZZAhBy3gxy3nQumlQ94z3DM4N3qxpSKiEQMk3kVeWzY30Z7MNJnv90ar96paxojsz0pFWXJctsoz0ob8rhjpbq6mltvvZV169bhdrs599xzueKKKxibl8HSMyZy2XX/y56Nq5FS4hg5iYz5X0F3ujGkSYHbgWXjv1jzxzeZtzTM/PnzufHGG/F6vX3us23bNrZs2cI777xDbm4uADfccANf//rX2bhxI8uXL+fZZ59l4sSJAPz4xz/mb3/7GwBvvPEG+/fv5/7772fChAkAXHPNNdxw8614v71kyL9LTQi21rdz/UvruGfx7I91mwpFURTl4yfl+R9CiGwhxJlCiPOEEF9JfJ0vhPiWEOJXRzNIRVGU4ZJSsqqmmUff28Gj7+1gVU1zrx53hzqxJAcjhSolFTlpjMn1oOsCq6b17pvX409dQLbLittmSX45rDq6Fv+1G4zGp0ve8PmpvZLLrlCE96sbebe6kbZAmH9u3ddvstYfTQjqOoM8dP4JnDmxmEyXjagRb8MQNUyKM1ycXJ7H2Nx0HJbURoZOLMv92IwiRaNRfvCDH5CRkcEzzzzDPffcwwsvvMDDDz8MwCP/dyfuQAvLnnic796wFKe/Gf39v/OFcUVce9pkZjSsYs/qt7jnnrt58skn2bNnDzfddFO/9youLua3v/1tMrkDkonW5s2bKSsrSyZ3AOeeey7Lli0DoKamhpKSEjIzD1bolJmFBNtbMbvaUnqtQgjW72vl3RR7GyqKoihKt5SKrAghzgP+CDg4+AzT80PqnUc+NEVRlMOzvaGde9/cys7GzmRC9ad11YzNS+fKBROZkN+3NP7Zk0t4esMemgdpfC2l5OSKfH5w4mi+sextttZ3oMUgJsEwTaSM/1J06Bqjc9LI8ThoDYRp8oUI9GjIrWuCdLuV86eVMr04XgRmT6uPJ1ZXsqqmOTld1GG1YNEgEDXw2FKridURjFKY7uKqhZO4PGawua6NtmCUXI+dyQVe9rb7uOzvqwil0CDcbtH46vSylO57LDQ0NDBlyhRuvvlmPB4PI0eOZNGiRaxevRqItxH4xS9+wcxpU5g5bQoTnVFuvPFGrj19Mj6fj2uWPcm9997L5z73OQCuvfZalixZQjQaxWq19rqX1+vllFNO6bXt8ccfp6ysjL1791JSUsLTTz/N73//eyKRCF/84he58sorsdls5OTk0NLSQix2cKrs86viNcnMoA/SUyv8ownBP7fuY15F3mG/Z4qiKMpnT6ojeDcC64CZwO+IJ3uTgKuBCHDlUYlOURRlmGrafNzw0gYqm33J5A5A1zQqm33c8NJ6atp8fc6z6hrXnTGFdIe1zz6IJ3ejctK59tRJlHo9vHXZIp78xjwWjC5gckEmU4syOXlkLlPyM5hbnovbbqGmzc+BzgChWLw6psOike9xMDE/kzKvm4JE4ZItde389LnVvFXZQChqYNE0LJpGzDCpbvFR1dJFRyi1UTxrj8IcNovOzJIcTh9byNSiLDRNMDIrjZ8umDDkCJ7VovHj+RMYnZOe0n2PhREjRnDffffh8XgA2L59O6+99loyYfN6vbzwwgt0dXXh8/l48cUXmTx5MgBr1qxB0zQWLlyYvN7cuXNZvnx5n+SuP7/5zW949dVXueGGG/D7/WzcuJEXX3yR22+/nZtuuolXXnmF2267DSCZGD755JMEg0Fqavex8rmnAJBG/+sjB7JuX2tK60MVRVEUpVuqbRLGA1+VUm4QQqwArpNSbgO2CSG8wM+B5UcrSEVRlFQ9uaZq0CmNHcEoD7+znW/PGUVRuguvy57cN704i3vPmc0f11azsqaJtmAEpKDU62LeyDy+P3cM9kRiJITgzIkjOHPiiOT54ZjBRX94iz2tPva1+/v0pQvHJI2+MBZdoyjDySkV+RimyR3/3kRHsP+H+AyHjfquEDVtfibmW/vtldfTmNyh18udPraIDKedp9ZW8WFdW5/qn1MLvVw8s5wTynL7v8DHwFlnncXu3buZNGkS3/3udwG45ZZbuPrqq5kzZw4AJSUlPPVUPLHau3cvhYWFvPHGGzz00EO0trYyf/58rrvuOtLSBn/PHn74YR544AFuvPFGFixYwIoVKwgGgzzwwAPJ9XvXXXcdV1xxBTfccANZWVk8+OCDXHnllcycORNPWhrWmV8iVLcHzTZ0YZue/NEoTb4QHvvQSaiiKIqiQOoJXhToSny/ExgnhLBKKaPAv4FLj0ZwiqIowxE1TFbVNCd/NqUkmJiK6LTqtAUiNPvDfHigjXeqm3FaNWaOyOYbM0cyLTFVcmR2Gj//wlSC0Rj1nUGsukZRumvQiour9zZz/9vb2NXUxd7WLtpCUay6hlXX+pkmITnQEWTmiCzy0pz8c8s+9nUEBiy84bJZkpUxG30hCgdpVyCRnDelNKX3anZJNrNLsqls7uL13fWEYgYOi8bCUQWMzv34jNoN5M4776Szs5Nbb72V//7v/+aJJ56gqqqKkSNHcs899wDwy1/+kquvvprf//73+P1+Ghsbefjhh/nZz36GrussXbqUn/70p/z2t78d8D633XYbTz75JEuWLOHiiy8GIC8vj5ycnF7FWSoqKjAMg/r6ekpLSznxxBN58MEHKSkpIWZ1cOGDz9AlNPQUp2cm9VOVVVEURVEGk2qCtw74CvAGsI34+rv5wAogtacJRVGUo6wzFKUjFEUA+zsCdAQjRAwTiD8kx0yZHIHTEy0N1ta2sLW+nZ9/fipzyw+OWDmtFkZmDz6y0xGI8JPnVrF82wHCsXhFTX8klux3F4oaWHUNhy7QekwXtegCty0+IvPOnqErZBZ4nFRHfXSFoxTSf4JnSslpYwqZWNB3feFgRuWkMSrn41MlM1WTJk0C4Pbbb+fCCy9k+/bt3HrrrSxfvpyysvi6wQcffJDTTz+dVatWYbFY8Pv93HHHHYwfH29HsXTpUs477zz27t2bPKen+++/n2XLlnH77bdz3nnnJbfPnDmThx9+mMbGRvLy4uvjdu3ahd1uJzc3l8rKSm688UYuu+wy8vLyCMcMzL1bseWXDnsEz27VyXEP7xxFURTlsy3VNXi3A5cKIf4spQwAfwGeEkI8DtwHvHaU4lMURUmZy6Zj1QWVzV00+0LETBnvVycloahB1IiP6AlBrxG5YNTg4Xd3DFpl81Axw+SqF9bwyvY6IkZ8jV3UMImavatqRgwTf9SIP+RLicOqU5Htoaqli0AklhxhHEyaw0pZphtN9D+aI5GcPraQ68+YnHL8n0QNDQ28+uqrvbaNGTMGgKqqKhwOR69Erbi4GK/XS21tbTIRGz16dHJ/RUUFEG9KfqitW7fy61//mu9973vMmzePpqam5NesWbOYMmUKV111Fdu3b2fVqlXceeednH/++TidTkpKSti3bx/Lli2jtraW115ZTseq5aSduGjYr3lakZcMp23Y5ymKoiifXSmN4EkpXxFCnAR014T+EfAQMBd4Abjq6ISnKIqSOqfVgk3X8YWjvXqHxUyJJN7HzkgkfYf2gKtt87FiVz2njy1M6V4vbN3Hyj3NhKIxhBDETJNwLJ6sdV9ZJr4XQmBKyHBaqchORwD+SIyucBSHJbXP2TKcNqaP8LJgVAEf7G2mIxjBZYaYO6aA86eWMT4/I6XrfJJVVVVx+eWX8/rrr1NYGP972rRpE5qmkZOTQyAQYN++fYwYEV8X2dzcTHt7O6Wlpcnjt27dytSpU4H4qBuQPL6nV155BdM0eeyxx3jsscd67XvhhRd45JFHuO2227j44oux2WwsXryYq6++GgCbzcYjjzzCNddcw9lnn01xcTE//J/red7Xt9/eYAxpsmhc8bDOURRFUZRUp2gipVwFrEp8HwC+d7SCUhRFGYxhmvxhTSWvbD+AKeHE0hy+MWskBekuLJqG0DR6Vg4xpEwmfEKAoO+USF3T2N7YmXKC98bueroikeR1I4YJQiB63Ff0+NNh1fFHDExTomsCh0XHbbMwpySbD/Y0D1k8RUrJrBE5fGv2KL41exQAa9euZdasqSnF+2kwe/Zsxo8fz7XXXsvPf/5zWltbufHGG7nooouYNWsWkydP5uqrr+aGG25A0zTuuOMOJk+ezOzZs9E0jUWLFnH99ddzyy23YLVak0VTSkpK+tzryiuv5MorBy8Q3b3Wrz8TJ07kF7/4BbNmzQLif3/Vz65mc11bSo3LpZSMz8vgjBT/PSqKoihKt1T74H17qGOklH/46OEoiqIM7t876/jpc6upbQ/Em3FKyYpddTz63k4unllOMBpjRIaT/R1BTCkTSZZAEv/ebtGQyOToWk/60M/dSc3+MIkBOwwz3kx8oAf37pTPMEyafEEK0l1MKfTisVtZPLmUP2/YS+sg/fcg3hPvohnlqQf4KWS1Wnn00Ue57bbb+MY3voGu65xzzjlcddVV6LrOo48+yh133MGPfvSjeM/Ck0/m+uuvT65/vOOOO/jlL3/Jf/zHf2AYBqeffjo///nPhx2HPxylMxzFYdHJdNpSStiEECw9cwZXPreGyubOQc+RUlLqdbP0zBmDFvdRFEVRlP6kOoL3+CD7QoAPUAmeoihH1eqaZi5/ZhX1XUEATBKVMiMmnSEfd72+Fauukem0UpLpIhg14mvchCAUjWGz6GjER/AOfWw2pWTuMNoCWHVBd92Unu0QNAGG7Js8QvwhP2LEk8szJxYnrqNx1YKJ3PLqhwM2H7foGpfNG9erpcNnVX5+Pg888EC/+3Jycrj77rsHPNfpdLJkyRKWLFky7PtKKXl1Rx3Ld+xnc107wWgMi65R4fUwf1Q+X5tRjtM6+H+pHoeVB79yAve+uZX39zTiC8d6FdiRUuK0WTihNIf/WTgRt2qNoCiKohyGVBO8/hYOeIBTgKXAN49YRIqiKAP447oqmvwhIjGTmGkeXFsHaEJgSIkuJV3hGP5ojHKvh+IMF4Yp2drQjpHIxNz2vr/6xudlMH1E6iXsJ+ZnsqamBV+iamc3IQQaElN2r78DXeudUF4wtbTX1Lu55bncftZMHl+9m43725CJKaUSyaT8TC6YVka6w8Z71Y2MyUknN82BYZo0B2PUdQbIdTuw6KnWzPp02d3Uyd8/rKGypYuYaZLpsDOvIpfFk0qO2HsSM0xuemUj71Y1oCeyepser8a6p81P1epKVuyq5/azZlCc6R70Wg6rzvVnTCEQifH0hj3sbu4iEjOwWXTKszx8bVoZ6aqoiqIoivIRpFpkpaOfzR3An4QQLuB+YPaRDExRFKUnfzjKm7sb8IVjiemQ8e3diVP3dEzDlFg0iTQFdR1B0u3x5uAjMl3UtgUwgVz3wZEwwzRx2Sx8dXophmkmH+CHcsG0Mv61/QDN/jCRRIuEbvFRGYmU8YTPomkgwGW18OP547h03vg+15ta5OXec+awt9XH6tp4L7/xuen8e3c9D7+7nfrOEEKARWhoOlg1jfqWdtzrWynKcDG3LJfvnzD6M5McGKbJ7f/ezOu76ntt34ufdfta+OuGvVx3+mSmFg+z71w/7lixmfeqGwf8t6EJwf6OANe/tJ5fXzh3yJE8iPc3vOSE0UMepyiKoijDlXKRlUHsBSYdgesoiqIMKBg1aPKFksmdafZdR9edUOW4HbQGIwRiMTpCkXhfOsOkMN3BlEIvoZiJLxKlsSveSiEUNbhx+UZKMis5bUwB3z9x9JDrqiqy0/jPk8ZxzxtbqGrxYYkZRHusw9OEwG7VKcl04XXZ0YVgXF46l82fMOh1y7I8lGV5iBomV/5jNVvq29GEwKprxEzJ9qYOglEDXQjyHAKvrtPsC/PC5lrW7WvlvnNnk/0Z6Jt222ubeH1Xfb89BHVN0OgLcdMrG7nz7FmM+QiN26taunhjd8OQvQoBatr8PL1+D99ViZuiKIpyHKX0UbUQIqufrxwhxFTgBqDy6IapKMpnXXcxi0Ofs+WhX1JSlOFifF46dl1nX3uAFn+YqClx26xYLTqXzR9PaaYbr9NGnseB227Fpus0dAX549oqbv7Xhyn1xLtgehl3L57F+dNKGZEZr+AppcSqaeS47UzIz6AgzYld18hLc/Cz0yelVJAD4Dfv70wmd91q2vzxPn7ERywbAtFknEII9rf7Wfra5pSu/0m2YV8rr6eQdHWGovxu5e6PdK+/bdybcn9ETQjermwYVj9FRVEURTnSUh3Ba+ZgIbhDhYELj0w4iqIo/bPoGhlOa3IUzxzgOENKqlq6cFh0wjGDcq+HrB5TMmvb/Pz4mVXYda3fBtKaELy+u54zxhZy8si8IeM6uSKfkyvy6QpFaQ2GefbDvaypbWVvmx+JxGO3cGJZLt+ZXTHk+qzkazBN3q5q7JXARAyTrnDv9X5RQ9ISiJCTeH1CCDbsb2Vvq4+yLE9K9/okem5LbWqfTgLr9rfQ2BUkL815WPfa1dQ1rOMrW320BiJku1VBHEVRFOX4SDXB+x59EzwJdAKvD7BGT1EU5YialJdBfUeAtlBswGM0IfBHYjT7w6TZLGS6+iZxLf4wVl30m+AB6ELw8rb9KSV43dIcVtIcVn6yYBKmKanrChKNGRSku3BY9ZSvA1DV4mNfux+75eB5bYFwj7YPCULgD0eTCV63V3fW8YO5Y4Z1z0+SnY2dKR8bjZm8vruBrx1mi4mIMdBHCf2LGTLZ8F5RFEVRjodUi6w8fpTjUBRFGdLc8jz+taNu0GNMKYkaJjHDRNdEn2l8kvhDeygWP846QKXFJl/osOPUNEFxhuuwz48YRp9GDuYArRf6m1oRiQ0vKfmkCQ8j6RJCfKSEy2Mb3lJ1p1UnTbU3UBRFUY6jAf/nEkL8dDgXklLe+9HDURRFGdgJJVmEDANN9O4915NhSkwBDove73q3ZEsFM54EDpTg9Rw9O9bKvB7SHBbCPRI1m0Xrp6iMxHZI/KaU5KV9uqcHZjistAUGbwzfzTAluZ7DLzozfUQW2xraU147OaUwkzSHSvAURVGU42ewjyYP7Rbb/WxhAE3Ee+PZgQjQCqgET1GUo+qDmnj7gIFqWAhA1yDbbY23UxjgQI/dQkfQxGrpP7kzpWTmED3xtjd08NeNe9nZ1IlpSkpMdwFMAAAgAElEQVS9br48acSwpnUOxGO3Mqc0h3eqGpPbspx26juDRHuMXulCkOvpncxlOm2cPankI8fwcTa7JJvqlq6Ukq4cj6NXz8Hhumh6Gf/YVDNgE/qeDGny+XGHfy9FURRFORIGXKcupdS6v4BFQCNwPmCXUhZJKZ3AF4AG4JpjEq2iKJ9p7+1pRkoSUy977+v+UUOQ6bASkxJ/OMaHdW1sbehgX0cg2eg8z+Mgy2WP96frR36ak69OLx8wjuc313DFP1bxxu56DnQEqO8KsqqmmZ+/tJ4H3t52BF4pfHfOKNIdVqSUdIYi1Lb7kNIkHDORMl5kJtOuY9UPjjSaUnLmhOLjOvp4LFw0oxxnClMnTSmZX5E74ChtKtIcNr47Z9SAVcZ63uuk8jwWjS8+7HspiqIoypGQ6v96DwHXSymflVImPz6WUr5GvE3CbUcjOEVRlJ5aAyF0IZBSIhKr1Lq/utskREzJzmYfoYiBISWmKYnE4j30djZ1EjMlxRkubjlzGhkOG2aPUT5DmhRnuLj1S9NxDZBA1Lb7efjdHcSMvo/8mhA8u6mWV3cc+MivdWR2GlfMn0B1i4/N9e3UtAdoC0YJxwy6wjHsmiDHeTBGIQSLJ5V8qourdPO67Fw+b/ygiZspJZMLvfz3yX2byg/XhdPL+c+TxuKw6v22QBACFo4u4OZF01OeyqkoiqIoR0uqq8cLiU/L7E8AyDwy4SiKogwszWGNT68MReMVJUV8umbPR25NxNddWXUNXROJBC6eAsaLbUjuXjybkdkezptSxjMf1lDZ0oUuBLNGZHPG2EK0Q4cHe/jLhj1EY+aAD/Ia8PK2/Xx+XNFHeq2hqMHS1z6kKxLFpuvEEqOPmoh/BWMGNt3C5MJMRmS4OH9aGRXZaR/pnp8kiyYU47FbeHJNFTubOpPFdEwpSXdYmV+RzxWnTMDyEUbvevrq9HIWjSvi6Y17Wb+vBV84hs2iMSYnnQumlTEq57Pz3iuKoigfb6kmeO8CvxBCrJVSJkvYCSFGAbcCrx2N4BRFUXrKdjko9XqobukkEDUwZPyBvmeCZ9EEuqZh07X4tE0B5V4PuhA4LBoZDhtFGfGeaHaLzsUzRw4rhqrmodd+7W4eXu+0/vxu5S7W7WvFlBKLJrAcknRKKWkKxrjv3Dmf2VGjeRX5zKvIZ/2+FtbsayEak+R47Jw9aQRO6/CqX6Yi3Wnjh3PHAJ/+UVJFURTlkyvV/wEvB94E9gghNhFvfJ4HTAaqE/sVRVGOqrllOext9TE+P5NGX4gWf5jOUDS5P82uARp6z4RHQmc4SmmiyXhrIEKzP/yR2hgM5aPkW6/trOPFrbUsW1NFZzj+2jRNYNe1XmsGhRAc8EX4r79+QChmEDUlRelOvjCuiDPGFn6mkr4ZI7KZMSL7eIehKIqiKB8LqfbB2yWEGAdcApxEvILmduAR4A9SytTqVSuKonwE3z1hNOv3t7KjsRNfOIYvHO3VOsAXNtGEidtu7bXAONajp4LDqg27t1lPo3LS2NbQMWgCNfowp+v9fuVunlxbRcQw6QrHMBK97wxDEjUMrJqJ02pBExA1TCIGLN9xgFGJqZn1nUFW1zTzdlUjv1g07TOV5CmKoiiKEpfy4gQpZZeU8gEp5UVSyi9KKb8upfytSu4URTlW7Bad+849gRyXnSZfCFMeLK6iiXh1TUNC8JCS9j2nN04t9JLhtB12DF+dXo5tkCqVUkrOnDhi2Nfd2dTBsnVVmKaksrkrvsYwsa/7T8OUBGMxYqYZX08o6FMJVNc03q5q4Herdg87BkVRFEVRPvkGa3T+PHBVYvTu+SGuI6WU5xzZ0BRFUfqKGgZvV8f7wwlNoEvi1TIlCCnRgJhhYlp0NBFP/rJd8V5xdovON2ZXfKT7j8h0c9n8cTz09o5ePekgfq8LppVx+pjh90L7+8YakNDgCxGOGeiaIGr0TvJMAFMSkmZy5PLQPngQr+b5+q56LpkzetCCMYqiKIqifPoMNk8pDej+mDodhmwDpCiKctRd9891dAQj8XVu8mBlye5ZmLomMEyJKU0MCbluBw6rTkV2GpecMIpZR2Ct1pcnljAuN52/bqxhR2MnppSUel2cPbGEueW5h3XNfe1+ALpCUQTgtOjEjFif4wTxkTxdE7gtAtcAxUT2tPqoafNTnu05rHgURVEURflkGjDBk1Ke2uP7hcckGkVRlEFsrW9n04F2DCQ929B1j1FJDq630zXIcNgZk5vGJSeM5qvTy4/omrQxuRlcf8aUI3Y9LTHV0kgmrQKHVScUNXqtM+xuw+a06pSmWQe9ZtQ0B92vKIqiKMqnT8pr8IQQmUKI4sT3diHE1UKIB4UQpw51rqIoypHw3p5GajsCfeYT9PxRAC6rzrTCLCqy04gakmVrq9nR2HEsQx22ifkZSBkfmetm1zXcNgtWTSAE6AKcNp18j4PJhV5sg0y/zPU4KPW6j0XoiqIoiqJ8jKSU4AkhTgFqgB8nNv0GuAM4C3hVCPHVoxOeoijKQbVtAdqDERyD9DiTQHG6MzkiBhCIxHhq3Z4jHo+UkkAkRuiQoi6H46IZ5XjsVjIc1j59/dw2C2l2K+Ny05lVnMV/njQG+yANvKWUzC3LxT5IMRhFURRFUT6dUq0VfivwHnCvEMILXATcLaW8VghxF3A98JejFKOiKAoA4ZgRLzYiZa91dz1ZAJet79TFjQdakVIekWmaUkqe3VTDy9v2U93qRxMwPi+Dc6eUctqYggHPa/WH+dP6anY2dSIljMrxcPGMkeSlOfG67Fx3+mRue20TrYEw4ZjZa+ppvsdBrsfBCK+bny6cRGGGm9+8+WG/sVXkpHHZvHEf+XUqiqIoivLJk2qCNwtYLKVsEEJ8I3HeHxP7XgQuOxrBKYqi9OSw6qQ5rPg7g2giPm1RShlvlZBI9hw2ndZAGK+rdyuEmCmJxAye3rCXlXub6QpHyfU4OG1MAWdOKB5W4vfgO9t59sMatMQ5hoQt9e1saeig1R/mgullfc5ZU9vCLf/aGC+ikjhvc10br+6s52enTWJeRT6TCjI5Y2whXeEoOxo6CJsmGXYrBWkuPA4L04uzuPbUSbjtVn4wdwyhpgPsjDrZ1tiBYUryPA5OKs/lh58bg3OQUU5FURRFUT69Un0CCADdtbjPAuqklN0fHZcArUc6MEVRlEPlpzkp97pp8oWJmd0jXCLZDkEg0YXot7hIcbqTnzy3hu0NHcnEbH9HgHW1LWzc38Z1Z0xOKcmrbO7iuU21yWv0IiV/WLObcXlpxEwYn5+O02ohEjP45YrN+MKxXvcQQhCMxLjr9S3YdJ1frthMWyCMRdOYVOglFDUIxmJ8YUIRPzhxTJ81dZ8r8nDZrFkEIjEihkm63araIiiKoijKZ1yqCd7rwM1CiCnABcBDAEKI84DbgH8dnfAURVEO+tr0cp7fUkua3UIoZiQrZloTrRFiiSmYlkOSHFNKTGB3j+Sum6YJ/rXjAHNKs/n8uKIhY3h+S+2A+5r9IbY2hPjqE2+R63GQ6bRx8sg8yrwumn2h/pNCoDMY5cfPrMJtt/RKAB1WHYdVZ/2+VjIXDFwx02Wz4BoyckVRFEVRPgtSraJ5OdAOLAHeAG5ObL8P2AVcfaQDUxRFOVSW287l88aT6bShCYFd17DrGgJIs1spyXQhkWQ4DiZDEjhnckmf0bOedE3w2s66lGLoCEb63d7oC1Hb7qcrHKPeF2J3cxcf1rXx9PpqHnp3B4ONq7UGIzT4ggPu94ejPL1hT0rxDcTsb8GioiiKoiifOimN4EkpG4Az+tk1U0rZcmRDUhRFGdiZE0dQmuHiO39+j9p2P4aUuG0WyrPSsGiC+RX5TMjPoD0YId1hY/GkEZRneXhp2/5Br9vsD6d0/0xnfG2fBNqCETqCEUxT0hIIEzVMTBlv1RAmXhSmMxRF1wQlGS68Lnu/1wxEYgOO7kF8Kmd1qy+l+Hryh6P8v5W7eX9PE+2hCB67lRNLc/jeCaPIcjuGfT1FURRFUT7+hrUKXwgxDzgdKASWApOFEOullKl99K0oinIEOGwWxuWm0R6K4A/HCEZNqlt8fH5sIb++YC7N/hDVrT5GZLgp8bqRUpJmt9I+wOgb0GvUbzDnTSnl+c217Gruwh+JIYCoYRJItErQNYG1RwsDAURiJvVdoQETPCkl6UPcf7hr63yhKD9+dhV7Wn3JkcvWWJiXtu5j3b5W7j93NrlpzmFdU1EURVGUj7+UEjwhhBN4Gvgy0AmkEe+FdyUwVQixUEq57ahFqSiKkhA1TG5cvpEGX5hyrwcg2f5gZ3MnF/3hLdpDEcIxk7ZgGLfVwpySHJxWnRa/ia71nZlumJJ5FXkp3b8syxOv5BmJIhITL03zYEuDQ5uwA4nm5ZLOYARd13BZ9WTSJaVkSqGX1kBowHsapmTWiOyU4uv26/d39kruugkhqO8M8Kv3dnLTF6elfL0mX5A/rdvD5vp2DFNSnuXm3CmlTCn0DisuRVEURVGOrlRH8H4JnAjMB1YC3R+DfxN4GbgdOPeIR6coinKI5zbXUNcZ6DWlUQhBzDCpbO6ips1PWZaHquYuQom+eXta/ZR5XbQEIhSkOXo1SjelZFZJNudMLknp/v5wlJgpKcn00BoIEYyaCCGQiQqeCIgYZrIRuQRC0RgCK3VdIfzRGE6LTq7HTpbbwZQiLzd9fgpLXvmQLfXt/a4TLPW6OXviiJTfI9OUrNzbNEhVUMGLW/bRGYoQNST56Q7OmVTC5AGStU0H2rhx+QY6gpHkNfe0+nirqpH/mDu237YQiqIoiqIcH6kmeBcB10gp3xVC6N0bE33xbgF+e1SiUxRFOcSOxs5+16s1+UNEEpU1a9p8yaboAFHDoD0UZUSmCykh1+OgMxwlz+3g5Io8Lpkzqt+Rvf7sbOykKxQlx20nx23HlPH+emv3tSYH70x5cBgvFI3H5LRqjMtLJxCN0RGMEjUkF04p5dL54wG49UszuPGVDXx4oJ3u2ZiGKRmbm87/fnEqFj3VmlgQiMZoG2A6qiklu5u76ApHsVs07BadLfXw7531fGtWBZecOLrX8VJK7np9C509+vclr2VKHv1gJ3NKsynL8qQcn6IoiqIoR0+qCZ4baBxgXxBQq/UVRTkmrAMkOt1VMqWU8e977BNC4IvEsGgaErjtzBlUZHuG1dy8W5qz91o5TQgcVgtep422YARTyuTUzZiUxEwTm66T43Egia/HM6RECHh1Vx3/NW8ce9p8vFvVyNyyXM6fUsqWhg5MKZk5Iou5ZbnDjtNh0XFZLfgjsT77atsD+CMxLEIkpo4m3iPgybVVTCrI4ISy3OT2FbvqqWnzDZgAm6bkbx/u5aqFk4YVo6IoiqIoR0eqCd4HwBVCiFd6bOv+iPp7wKojGpWiKMoATqnI46Wt+3slJz1ZdY2I0bfRefI3lpRsPNDKqJy0w7r/qOw0xuSms+eQqpYlmW4iMYOQYeK2WbDqGuGYCVadTKcdj83KjsZOgtGDyWd9Z5AZd7+I1xVv+yClxGrROW1MAVcvnHTYTcstusbs0mze3N3Qa7shJR2hCALw2K1YDknaBPD81n29ErxdTZ1Djm4e6AgcVpyKoiiKohx5qc75uQY4GdgOPEj8UelSIcTbwNnADUcnPEVRlN5OLMtlTmlOr2mQEG8KLkR8+mV/nLb47HJDSgrT+1aPlFLSFYoSjhmD3l8IwddnlvdJMNMcVipy0phQkMmM4izG5qZTlO6kIN1FRbaHPa2+xFq8g8JRg8rmTva1+5PXjhkmL2/dz/1vf7S6VZecMBqvy9ZrWzAxXVTTBAXp/b9P+9t7J2t2i4aUg/fQs+r6oPsVRVEURTl2Uu2Dt1YIcQLwv8B5gEG8qMo7wMlSynVHL0RFUZSDhBAsPWsGD769jXeqG2nsCmG36Jw+poAdjZ0gBC3+cK9ETROCvETft1Kvh7k9RqiklPxpfTX/2l5HbYcfq6YxrdjLd2aPYmJBZr8xnD62CIHgqfXV8XsCXqeNL4wv4spTJhAzJaGYwcvb9vPYB7voDEUJHJLcGVJiSolF0+gIRTFMmUwadU2wYlc9//G5sbhsw+pmk1SS6eaus2fz6/d2sHZ/C+GIiS4EbquF4gwnblv/bRlsh0yB/dKEYv60fg/GAI3SDVMytyznsGJUFEVRFOXIS/nJQUq5Fbi4v31CCKuUMnrEolIURRmEVdf46cJJXDZvPH/ZsIe3qxup6wpiteg0+0JkuWzUd4UwTRO7Racow4nLZsFm0fj+iaN7rWm7/61tPLe5Nlm4JWqYrKlpYVtDB788ayYTBkjyThtbyKljCqhp8+OLRKnITsOZqM5pA1w2CxdMK+PZD2s40Bnk0MmWUSPeskHTNGKGSVc4mmyiDuALR3l9dz1nDaN65qFGZnv45dmzaA9G2N/hJ8/t4LqX1lPd0n/TdCklM4qzem0rSHdx6ugC/rXjQJ/iNlJKRuV4+PJHiFFRFEVRlCNryCmaQojxQojxg+w/H1A98BRFOeb+uLaa362qZHdTF12hGDHDJN1uoTDdyY/mjuaLE4qYW5ZLmTeNueU53H7WTBaOLkieX9cR4KVt+/utyukPx3hiTeWg9xdCUJblYVKBN5nc9WS36PzPqZOIxAwC0RjBmEHUlJjEpz46LAdbKej9xNBfXIcj02ljUoGX3DQnX51ezkCXzU9z8vWZI/tsv/a0yZw9aQROm95ruubMkmzuPnv2sCp8KoqiKIpydA04gieEKASeBeYkfl4NnC2lbEr8PA24D1gAdBz9UBVFUQ5qC4R5esOePiNjmqZhmJJMl50/fXnWoNd4aft+YoY5YJXKD+vaiMQMbJbDW2NW2dzJfW9tI9dtp8kXxpSSmGFi1y2UZ3moTIykOSw6HnvvX8dpdisLRuWnfK/6zgB/Xr+H6lYfFk0wvTiLC6eV47D2jv0L44qIGSZPraumtt2PLgRCE0wt9HLVwomkO219rq1pgp8unMQP547h1Z11RI34tEzVGkFRFEVRPn4Gm6J5JzAVWAr4gKuAu4HvCCGWANcnjnsEuOkoxqgoitLHc5tricSMfpMzIQRr97UMeY1ILJ7cdYWiNPtDhGImQkCa3UK+x4mmCaKGeVgJnpSSO/69hSZfiDSHjTyPnfZEo3BDSloCEdIdVjpDUXI8jl6vwzAlZ4wtTHn93eqaZm7514f4wgd71a3b18prO+u495zZZLt7F1Q5c+IIvjShmJV7m2nyh5hSmEl51tBVRdMcNr4y9dg2NZdS8sMf/pCFCxfyzW9+E4DGxkbmz5/f59j333+frKwsQqEQd911F6+88grRaJSzzjqLa665BodDdfRRFEVRPv0Ge3o4DbhZSnkHgBBiC7BMCHEv8BPgVeAKKeX2ox+moihKb8Fo/8ldcn9k8GqYAJMKMnnk3R0c6Az2mnoYjMToDMU4dXT+YRc5WV3bwq6mjmSLgbIsD3q7n/ZQFMMw6QhFWDgqHyEEHcEohhlv7eCw6nx+bCGXzx9wZnwvhmly75tb8Udivd4PTQhq2/z835vbuPXMGX3OE0Iwtzy3z/aPE8MwuPnmm3n77bdZuHBhcvvu3btJT0/npZde6nW81+sF4KabbuL999/n9ttvJzc3l9tuu41rr72W+++//1iGryiKoijHxWBPLjnE+991ewtIB/4DuERK+cTRDExRFGUwE/LSiZlmn15u3UoyXUNe44TSbLrC0T5tAIQQ8X51QhxWM3QpZZ/+cZoQlHo9FJsSXzhKzJTccuYMJuZncqAjwFuVDVg0jS+MK+x3muRAXt1ZR11HsN++gEIIVte00BWKkubov2rmx1VtbS3XXHMNDQ0NpKen99q3e/duRo4cSW5u3wS1ra2Nf/zjHzz00EPJUb67776bBQsWsHfvXsrKju0IpKIoiqIca4MleFagZ0Mkf+LPa1VypyjK8bZgdAGj1lSxt83fZ58JnDGuCCnloAnaS1v3U5jhImr4k20MJIm2Ch7HkD3xujV2BXn0/Z38e1cdzb4IXqcVr8tOkz9E7iHTI3VNkOG0IYF8T7wfX1GGi4v6KW6Sin3tgQGbvgP4I1HqOgOkOTIO6/rHy/r166moqOCRRx7hK1/5Sq993Qlef2prawGYMePgqGV+fj5ZWVmsW7dOJXiKoijKp97hzD16/4hHoSiKMkxCCJYsmsaS5RupaulC1zRMU9LgC+K2Wfn1uzt4am0VJ5blctm88cliI92jdUII2oIRnBadsXnpdIYi+MIxNCHIdtux6Rpd4ShmojG4lJLtDZ00J9asZbrsAKzYWcetr37I5vr2ZK+4A52Q7bIl+9sVpPVtrD6tyEu22/6R34dctx1TygErbjpsOnn93P+javGF+PumGrrCMQrSHHxlamm/lUQP1+LFi1m8eHG/+yorK7FarZxzzjlUVlZimibp6elccMEFfO1rXwOgqqqKe++9lxUrViClpKOjg/379yevUV1dza233sq6detwu92ce+65XHHFFVitn6yRTkVRFEU51OH8b2we8SgURVEOQ6nXw/+76CRe313PtoYOXthSi9dpw2G1EDMlrYEIL23dR2VzF4vGF7J8ex172nw4LDozirOYkH9wmmeGw0aGo/fUyIJ0F5omWLW3id98sIudTZ1oCJw2nblluVx68lj+782t7Gnz92oELoCWQASv00azP0Sux9GrDUKm08alJ4/rdS9/OEooZpLlsg1rWuiXJhTz5Noq2gKRfvfPLM7q1V/vSPjz+moeX1WZLHJjSslfN+5h/sg8DnQGOdARxGO3cEJZLt+eXYH9MKuQDqSyspKioiJaWlqYM2cOhmGwfft2nnvuOSwWC3PmzOGKK64gPz+fX/3qV/zmN7/h9ddf56WXXuKyyy4jGo3ygx/8gGnTpvHMM8/Q2NjINddcg8Vi4Sc/+ckRjVVRFEVRjrWhEryrhBANie+7nziuEUI0HXKclFJecWRDUxRF6d9zm2pZvn0/+zoCuG0WZpdkMyk/nVDUxHHIKJIQgjcq63mnuoG8xJTISMzkzcoGNtW1UZDmpNkf7nMPU0pOHZ3PjoZ2fvGvDwlFDayJNXWRmMmbu+t5r7qRiGHiC0f7nC+AmGlSmukmx23HqmnomsbUoky+PnMkIzLdAGypa+d3q3ez6UAbEcNkRIaLL44v5puzRqaU6NksOv910ljufn0rEePg529SSnI9Di6bl1qxllStrmnmsQ92ISXJ+DQh2N7YybtVTUzIS8dq0Wn0QWVzF+tqW7jvvDlHNMlbsWIF9fX1PPDAA9x6661YrVYWLFjA6NGjWb16NXfddRenn346ra2tfPe73+XrX/86I0aMSE7fbGhoYMqUKdx88814PB5GjhzJokWLWL169RGLUVEURVGOl8ESvBrghEO27QXm9nOsBFSCpyjKUffIuzv4y4Y9ySmJgUiMl7bu40/ronhsFjikM54hJc3+MG6bnkzwurUGIkwv9qIJQX1XMHlNU8KpYwr49uxR3PJqPLk7lBCC3c1d5LjtmLLPbgCihiTdYePsSSP4zpzRffbvbOzghpfW05VIEHUhqOsM8ruVu2gPhrl8/oQ+5zy/uZaXt+2ntj1A2NfJGe12fjh3NPecM5u/btxLdUu8D96Uoky+OauiT4uEj+r5LbUcUpOGYMygqSuElJJGf4jijHjyKoRgR2MHT66p4gdzxxyxGFwuFxUVFdx3333JbdnZ2WzevJnvfOc7FBUVUVxcTGlpKUuXLsXj8bBs2bLkur0RI0b0Onf79u289tprnHfeeUcsRkVRFEU5XgZM8KSU5ccwDkVRlCE1dgV5dnNNn/VmQghaA2H8kej/Z+/O46OqzsePf869s2Uy2RNCQhIStgBhkU12wYWqVXGpVqv9qq22Wq1La6si/ChaVKq41GqttXX5tt+2topal1p3RRTZd1nCkn3fZzLrvef3x0yGhCyEEAT1vF8vXmbuem4SYZ55znmeaHDRps7jxzAlUnadDStpbOWvV8zi1W0lFNa2YLNozBuRwbjMZAB2VTV3Ox6rLmj0BXBYdbyBUKf9Fl1gSpiUldLl+X9dvz8a3LWnCcEbO8r4/qQhJDkPrtP7w6e7eGHjweC2JWDw351lbK1o4PGLTuZXZ47vdqz9payptdO2ukgGVAiBP9RxFr8Qgs+LavotwKuqquLb3/42Tz75JCefHP4M8uyzz2bfvn1kZWVx1VVXcc0113DVVVfx1FNPRdsrSCm7bJNwzjnnUFhYSEFBAVdffXW/jFFRFEVRjqeu64sriqKcgN7YUUoo1PUy4Fi7lRZ/5yDLlBKkJMba9V93bY3MLzkplwVnjOW2uQXR4A7ocZpkWqwDq6aR4rRzaBJPSkmC3crYzETGZCR1ef7WioZurx0IGby1szz6usbt5eUtXQe35U2tPLt2b7fX6k+xXRQhab/+sKtiL+4ufi59lZ6eTkFBAUuXLmXz5s3s3LmTpKQkMjIysNvt/PSnPyU2Npbnn3+e9PR0Fi1aRGpqKqmpqdxzzz2dWmI88MADPPfcc/j9fm688cZ+G6eiKIqiHC8qwFMU5SvDb5jdBlxpsfboOi8pJSHDxB8yiLdbseoaA1xdT1XMS3H1eM+xmYnd7rNZdX4yM58Eh5VYmwVDSmTk/glOG3OHDeSeHrJqoe7mdhIO3ILt1tS9vr2sw+tDj91UVt/jc/SXkwenhIPmduwWLfzcQFIXBV0y4vu3iuejjz7K6NGjuf766/ne975HYmIif//731m2bBmrV6/miiuuoKSkhH379vHUU0/x3e9+l3/84x+sXr2aNWvWdLhWQUEB06dP5/7772f16tXs3r27X8eqKIqiKF+2/qtprSiKcoxNyEzmHxsOdNv3LTcplr11zVS3+DGkRNcE6XEOhqbGdahi2UbT4KKxOT3e8/KJeawpqqXR24EmQ+AAACAASURBVLFKpSklM3PTqGj2EjRNbLqG06ajCcG0nDQWnjGWCdnhqZlSSt7YUcbH+6rw+IMMjI/hwrE55A+IZ2Np94HZKUMHRL/2G0aP2cTe9uw7WpeelMtnB2rYWdUUHU+ay0GN24fLbiX+kIbqJnDWyMw+36/ZG+B/7v8jNb4Af1u/j4vGDSY5OZmf/exnnH766cybNy96bGJiOBivq6vD6XSycePGDtdKSkqipKSE3NxctmzZ0uHc4cPDU0gbGrrPqiqKoijKV4EK8BRF+co4eXAqowcmdAguIJw52l/vJt5uoTVgYrNoGFKiIUCCRdOQQiAESBmeUpjqcvD9SXnMGpLe4z2zE2NZdu5E/rh6D5vK6vEFQwyMc3Lq8IHsq21hQ2kdTquF3ORwJtCUkpZAEC0ShEopWfzWJlbuq0IX4UkTO6ub+XhvNWfkZ2DRNUKHZOZMKZmZN4Dc5LjotnEZST0Gt4OTes5E9hebReeRC6bw7JpCPjtQQ4s/xACXnXkjMlhbXEuTL9ihzM2lJw3mWyMH9eler+8o4clVu/EGQtF2DC9uLuYXp45GVO7jpptu4oMPPiAjIwOArVu3omkaqamptLa2UlpaSlZWFgC1tbU0NjaSk5PDvn3dnzt06NCj+v4oiqIoyvGmAjxFUb4yhBDc9+0J3P3OFjaXNSAAQ5pIKUhwWPAETAzTRBcimrFr8gVJCYaQEr4zLod4h5VhafGcPjwDq967WerD0+J58LxJtPiCeAIhUmPt7K1r4cXNRdFA0+0PUtXiwx0IAZJrX/iM35w7kWZ/kE/2VUeDuzamlHy8t4rrpg1jxdYSSho9aEJgt+jMzBvAHacVdDh+em4ao9IT2F3TueiLJgQXHiYT2Z/sFp3rZ+Rz/YyOvfxaAyFe3FxEWaR9xfwxWR2C1COxt7aF363cRajdtFxNCJp8AZa9v43nvzuVkSNHcscdd7Bo0SLq6+tZvHgxl112GZMmTWLMmDH88pe/ZOHChWiaxrJlyxgzZgyTJ0/GMIxuz01NTT3q74+iKIqiHE/dBnhCiIlHciEp5YajH46iKErPEp12Hjl/CntqmtlYVk9qrJ339lSw+kAtVS0NmFIiOFgcJWRKdte0oItw1cqMhBgmDEpmVu6AXgd4beIcVuIiUxA/L6qJZqrc/iD76twd1qaVNrVy33tbcdmsXRYeAfAGQniCBv97+SzWltTS0Brg5JxUkmPtnY4VQvDrs0/i7rc3s62iCU2Eg8SEGCtXTh7KtNy0I3qW/tIaCPHPTQfYUdUEwPjMJH4+d/RR971bsbW4U2azjdsX5OUd5Tz11FPce++9XHHFFei6zvnnn89tt92Grus89dRTLFu2jB//+MdIKZk5cyZ33XUXmqahaVq35yqKoijKV11PGbx10KkwXBvRxb7+62KrKIpyGMPT4hmeFg/As58Xsqu6mUZvEFNKNCGwahqaJvCHDCyawKJrgAQJG0rqWPzWJh6+YEqf72/TdaSUCCGoavF1KjzSNh10e2UD2UkuugrxhBA0+8LTOacOPnyAlupy8LuLprK5vJ4t5Q1Ulxbz03NP6dcm4keistnLL/69jrKm1mgQu7a4lnd2V/DI/MkkdRGo9v7andsxtBFCUN7sJT19OI899hj761tYfaAWp1VHauHvRWpqKsuXL+/2Gunp6Tz22GN9Hp+iKIqinKh6CvBObfd1HvAk8EfgJaASSAHOAW4EbjhWA1QURTlU0DB5bVsJ+xs8VLe0sq6kjtZgCF3TkKaJJFyUBBNAoGkCoYloTzkhBJvK69lR2cjogd1XyezJt0cN4i/r99EaCEWmZR4kIdJ0HQKGidsfJM7edXuBvqydG5+ZzPjMZNaLxuMW3AE88tEOKpq9HTKUmhAU17v57Sc7WXIUfflcXXy/Ouy3WfAFDe7+72bWFNcC4Yzms2v38r0JeVw6IbfP91YURVGUr7KeGp1/1Pa1EOJe4DdSyiWHHPaZEKIF+CXw92MyQkVRlHZ2VTex5K3NVDR70TXBnppmPIEQhimx6RohMzytTwiBYUp0DSxCkOSw4WgXDAkE60pq+xzgxcfY+M64wfzv2kLaT2iQhNeoDYwLtwZIcdo79V5rMyjBeVQVJo+nJm+ADd1UABVCsLa4Fl/QwGHtWwA6b0QmH+2t6rL6KcD5Y7NZ+s6W8FTZdmv0WnxBnl69hwFxdk4dltGneyuKoijKV1lvF6BMBD7tZt9mIL+bfb2Sn5+v5efn/yE/P/+z/Pz8D/Pz84cdzfUURfl6Mk3Jve9spdrtQ9cEUkpag+H2AEKE/2iRaottPelirDrpLgcZ8TH4Q0Z0KqUpJTHWo6sz9cOpw/jFqQVkxDnRItNAk512hqXGRdf3DU52cdPsUVh1LRroGaZkgMvBwnljI1NHv3pqPT68we4bmLf4QzT7At3uP5yZeWmcPXJQhybqEE7KXj4pD7uu83lxbZetI6SUvLq1pM/3VhRFUZSvst6+u9kJXAW83X6jEEIjPEVz81GO4wLAsWvXrun5+fnTgIeA84/ymoqifM28t6eC4kZ3p4qUEC6mYpomdouGVWoIAcGQgcum0xoy2FHdhGmCTRckOW0MT43nnNHhEvqtgRDVLV6SnHYSumjU3RV/yOCVrcUU1Xs4bcRA1pfUdZouaUiTM/MzuXLKUM4ZNYgVW4vxBEIMTnZx3uisIwruWnxBfCGDFKc92oLheMqId5IQY8MX7Lr/XorTFp0S2xdCCG4/rYAJg5J5b08Fzb4gqS47Z48cxIy8Aby0pQijh8b3RY2ePt9bURRFUb7KehvgLQJeFUKMB94CaoEBwHlAJjCvh3N7Y1bkuuzatWt1fn7+5KO8nqIoX0NFDeHgzpSSWreP1qCBYZqETEkgZKJpItIiIXy8xWalzhPAYQ03INdEOBCsavYyIjWOkgYP/9pSxOdFNdS3BnBaLUzMSubm2SMZlBjb7Ti2ljdwzztbqHX70EQ4k+gJhDCkxKprCCDZaefM/EyumzECgBSXgx9NH3HEz7y9opE/f76HrRWN+A2T7IQYzho1iO9PGtLtOVJK1hTXsbm8HodF57yCrKMKtrritFmYNjiVD/ZUdgqy2vr4HWmV0kMJIfjWyEy+1cU01qQYG6Yk+rM+lENXdb8URVGUbybR3dqQTgcKMQ24HZgBJAF1wAfAvVLKHUcziPz8/D8BL+3ates/kdfFwJBdu3Z1mv+zfv36XGD/0dxPUZSvpg9Kmnl+ew0VniABQ0bW2Zl4jXBpX4sG9khQISPBVtCUWDURaSsA0pSYgCS8HSlIcugkOQ5+3pXksLBoagbOLtaPhUzJrz4to9YXot4XwhM0kVJi0zQSHDqXDE9icLydkckObEcZ4Oyqa+XXayrwhUwcuobLqoWfWUq+NTiBi0ckdzqnyRfiD1ur2dcYQBPh74PNonFGTjzzhyYd1XgO5QuZPLaxir2NftqSiiYwMsnBT09Kx9pd9NWFmOAFAHitr/Tq+JAp+X+rSmn0d84gSimZkRnHlQWqp52iKIrytZc3adKkA+039HoBipRyNXBRf48oohlo3w1X6yq4a2/MmDHY7b37RHr9+vVMmjTpKIanHEvq53PiOtF+NmPGG/xh26tIYdK2fM6i64RkkGC0YqaOw6qTGmunzuOHkEGi00Zukos6j5/iRg864QDBZ0rsukZdQBITYyXN5QAgKCW7SOLaScM7jeGN7aW0arVU+YJ4AhIR7rqH1wSf12Snz8qS784+6mf916Yi7l63gZpWAyEEjUETpyHIS47FbtHZ4tY4O2BwyvSTO5x36ytrqTVsJMR3/PtxZa3JzHED+dbIQb0eQ1G9m39tPkBZkxen1cLcYemcMSKjQ8ZuxsmST/ZVs6akDqRk9pABTMlJ7XbqZHcKN4Snxo6e2Pvft5+7Mnjk4y869MuTUpKZ6OTuC08msZ+zlkfqRPv/R+lI/XxObOrnc+JSP5sTg9/vZ9u2bV3u63WAJ4RIAG4CTgcGAhcD5wKbpZRvHeUYVxGe7vnPyBq8rUd5PUVRvoZKGjzEOaw0+oKETIkhTTQEuqahaRBntzAiNT48TVII6jx+JGCLFDip8fii/ehCpoxmnQRQ4/GRGmtHCIEQgh2VjV2PodFDjcePJxDq1NtOSsnnxbUEQga2I2hfUFjTzMr91ehCcNbITPbVuXnqs100+YIHK0QCvqDB/no3+WnxeAMh1lS5OaXddXZWNbGlvL7L4EoAb35R3usA7/3dFTz4wXYC7YKnVfurWLmvmrvPGh+9hxCC2UPTmT00vdfP21/OGjWIVJedFVuK2V/nxmbRmJCVzA8mDyPB2bu1lIqiKIryddOrAE8IkQt8DLiAlcApgB0YBywVQsyXUv7nKMbxMjAvPz//U8LvQ35wFNdSFOVrald1My6bBbtFwxtpai6Q2C06Eokh6RBYxdosBE2TAS4HIVPiDRrRoEwIsGgHp1D6gga+kBGtrNldAio51k6z199l43IIV8h864sy5o/NOezzBEIGS/67mc+Lwn3cpJT834Z9GKbE7Gb2vDdo0OwLEu+wdjpmc3lDJKPYtdKm7puHt+cPGfzuk50dgjsAXdNYua+Kl7YUcfH43F5d61ibnJ3K5Gw1FVNRFEVR2vQ2g/dboIJw9s4HBACklFcIIazAYqDPAd6uXbtM4Pq+nq8oyjfDkNRY9tW78QYNHJaO69tCJlgirRNEpPDJ4ORYMowYLJpG0AivvAOBBJKdNtz+9jPBD4ZGppSMGdj1erX5Bdnc9uo6Il3UO5BAosNGg7fr9gBVzV5qW33Uun28s6eSt74oo6rFR4LDygCXAyEEIUOyvaqBFKcDp81C0yHXEoAnEGJAnIOTB3YsBJPstEV6/3Ud5MX2sifdv7eV0OgNdGhg3kYTgpX7qk+YAE9RFEVRlI56G+CdBnxfSukWQhz6DuEpoHer4hVFUY5CfWswsuKtM13A5KxkzivIptEbZIDLwcXjc6hs8fHUZ7vZXNaAw6JjSkhy2siId7KvroVmX/iaMVY9nAmUkkGJTi6dkNvlGBxWnRm5aby3p4L2NaqCpolF06ho9vL06j2sLqrl/DHZnDVqELuqGvn9qt1srmigssVLncePy26lORK8efxBWvxBhqbEIYTAInTqWwMMToqlxR/EbJeqkzLcvP1b+ZnE2bwdxnbqsIH86fM91Lr9ncYtpWTK4JRefp/9XQZ3bZq8wV5dR1EURVGUL19vA7wAENPNvmSg87sJRVGUfraprIGcxFi+qGnGGwhF8nGgCUhy2slMiOW6Gfkdzolz2Fg+fzLNvgDv7ang95/sjjY7H5IcR2mThyZfkGSnHYfVwqTsZG6ZPQqnrfu/Hn86K5+yplaq3T78IRNpmrREEm2OSKC4u6aZBz7Yzt66Ft7fU0mjN4CUklq3HykldW4fQUPitOkIIWjxBal2+0iPiyHeYaGy2YvdopOX7KKi2Ysn8rxOm4XrZ47kxpn5bNiwocO4LLrGddNGdFo7J6VkWGo810ztXDSmK9mJsT1mAtNcx7d4iaIoiqIo3ettgPcG4bV264F9kW1SCJEMLAD+eywGpyiK0p5NF+HCI1Ji1TRCUkbaIwhCRrhdAcAXlY38Y+MBtlc2Uu/1k5ccxw0zR3Dh2MGkxtr5+4YD7KpuBmDusHQuGJPD5OwU4hzW6Bq8nsweOpAbZuXzf+v34w2EKGrwIIIGTpuF3GRX9DgBPLlqF6lOO7quUeP2R9YNgqYJQiGDkCGwRIrCNPmCpMfFkB4XQ2vQQCCJs1uJS7MSMEwEkptnj+Lik3LDwaI3SHlTKxnxMdGiJ6eNyGBgfAwvbimiqN6Dw6IzOTuZyycN6dSIvTtnjszkr+v3U9Xi7bTPlJKzuuhLpyiKoijKiaG3Ad5twIfAdmBPZNufgTygHvhlv49MURTlEKcNz2Dhm5sQQmCzCNrXSQyakiZvgBteXM3LW4tp8gUxTIlFCDaW1PH2rnIuOymXe8+ZwOwhA2nyBpBAgsN6xCX9AS6fOIRzR2Xx+o5SHv5wB0lOG/EOW6fpo/Wt4bVsaS4HRiS4g/BaNoumETIlbXGXEQlQNSH43oQ8RqUnsKa4ltZAiEGJTi4Yk8Ok7BT+80Up/9pUxMYDFbg2NjAkOY4LxuVwYaSwy+iBiSwemHjEz9RG1zQWnD6mQzP3Nt89KZfTR6gAT1EURVFOVL0K8KSUNUKIScBVwFygDGgCngeekVK2HLMRKoqiRGwprycxxkqtp2MVSwk4LDpbyhuoa/XTGjQJmeFgKmCahKTA6/byzJpCvqhu4ra5owkaJgUDE0mM6Xs5/fgYG5dPGsI/Nh7AE+i6daeA6JRQh0WPTisVgM2iYbRbX9fWpD3VZecnM0eQk+TiyilDO1zv9R0lPPLRTpDhRu02Xae0qZXfrdxJyDC55KTcPj9Pe2Mzk/jL5bNYsaWIokYPTqvOeQXZDEmJO/zJiqIoiqIcN0fS6NxHuKDKU+23CyFcQohTpJQf9/fgFEVR2vMGDbISY3FYw0VI/CEDiyaIs1txWi0cqG9B0zRCpokgHPhJIj3vALc/yHu7K/nsQA05SbGkxNo5aVAyC04fQ0qso8/jGpoax5byhi73uRwW4u1WAFKcdqrdPgIhAwBdCHJTXLj9QbzBEKPTEzhtRAbfnziE9PjOy56llLy4qZgO1V0iBPDSlmIuGpeDrmmd9veFw6pz+aQh/XKtE9X+/ftZunQpGzZsIDY2lgsuuIBbbrkFq9XKxo0bueyyyzoc73Q62bhxIwCGYfDoo4+yYsUK/H4/s2fPZvHixSQldV2BVVEURVG+DL16FyCEMIQQfxZCdLWyvgD4oH+HpSiK0tnUwWkIAWmxDvLT4hmXkcTo9ESyE2Nx+4NY9HCVzLb4R0qJlJEsGhCS4WmQhpSUN3sxTMmGkjrueG1Dh0qVR+qCsdld9s2TUvLtkVlkJYXbGQgBg5NisVl0TCmJt1tJcdoYnhbPQ+dP4Y0fn8Ftcwu6DO4ADtS72Vvb/YSJ8qZWNpfV9/k5vmmCwSDXXnstCQkJrFixgoceeojXXnuNJ554AoDCwkJGjBjBJ598Ev3z7rvvRs9/6KGHePnll1m+fDl/+ctfOHDgAL/61a+O1+MoiqIoCtD7DJ4ArgBOEkJ8R0p54NgNSVEUpWtDU+OYnJXC2uLaLtfNpcTaqW7xRfsotAV3HQgQQhA0TOpa/aTFOiisa+a/u8o4e1RWn8Y1Z+hAGmYF+L/1+6lx+9AE6LrG9MEDWDhvLOVNXn6/aiebyhqwaIKTc1JJjbUxZmASiTFWLhibQ5Lz8JUpQ6YE0X0g2jYlVemdqqoqxo4dyz333IPL5SIvL4+zzjqLtWvXAuEAb9iwYaSlpXU61+1285e//IWHH36Y6dOnA3DHHXewZMkSgsEgVqv1S30WRVEURWnT6ymahAO8O4ENQogrpZSvH6MxKYqidOtXZ45j6TvbWFtcg2FKTAlpLgeTs1P4vLiWFl8QX8iIrnuD8DRNCLdT0IWITl0IRloJ6EJjc3lDnwM8gAvG5nDO6Cw+2FNBSyDE9MFpZCY4AchLcfHg/Mk0eQO0+IOkuRy9rmjZ3pAUF1mJseEgtgspLgcTBvWu150CWVlZPProo9HXO3fu5N133+XCCy8EwgHe+PHjuzx33bp1aJrG3Llzo9umTZvGW2+9dUzHrCiKoiiHcyQBXgkwi0hjcyHEb4BFhGc+KYqifCmcNiv3nTOBkkYPnxfVEGe3cvrwDEwp+cE/PsUfMgnWNtPsCzfjbp/v0oXAbtGi29sHWd31fDsSVl3jWyMHRV8XNbj52/r9bK9sxJSS4WnxXDJ+MFmJsX26vq5pnDs6iz+t3tOpEbkhTc4amdmnwFGBc845h8LCQgoKCrj66qsB2Lt3L3a7nfnz59PQ0MCUKVO48847GTBgAEVFRWRkZPDhhx/y+OOPU19fz+zZs1mwYAFxcaoQjaIoinL8HNFKfCmlX0p5NfBzwq0R3gb69k5FURTlKGQnxnLx+FzOHDkIi65hs+gsO3cik7NTGDMwkSEpLmKsOhqgA1ZNIKXEMCUSsOkayZFpkYaUzMwd0K/j217RyK0vr+Xd3RVUNHupavHxyb5qbn9tAx/trezzdS+fmMdVU4aSEGPDMMPPE2e3ctmEPH40rXeNzJXOHnjgAZ577jn8fj833ngjHo+HiooKAoEAS5cuZfny5ZSXl3PNNdcQDAbxeDxUV1fzxBNPcOedd/LQQw+xY8cOfv7znx/vR1EURVG+4Y4kgxclpXxMCLEFeAF4qX+HpCiK0jfZibH87qKT2V3dzKayOv62YT9bKhpp9AaQpok3ZOIPmUhgWGpctIXBpKwUpud2Xmd1OIZpsnJfNfWtfqbkpJLdLjP3h892RbOI7flDBk9/tofZeeloh2QN/SGDjWV12DSN8YOSu6yGKYTg6pOHcfnEPJ57exUjRoxg2uA0HFaVuTsaBQUFANx///1ccskllJWVsW7dOmJiYrBYwv9UPv7448yePZs1a9ZgsVjweDwsW7aMkSNHAnDfffdx4YUXUlRUxODBg4/bsyiKoijfbL0N8D4CmttvkFJ+KISYArwMnNTfA1MURTkcKSUr91WzvbIRm65xXkEWA+JiGDEgng8KK2j2BclLdtHiD1LfGiAQMvAGw+vzDClJiLExMy+Nm2ePOuJm569tL+H/1u+norkVXQh0TTAhK4VFZ4ylxR9kW2VTt1MkSps8rNxfzZyh6dHn+P2q3by7u5x6jx8JZCbEcF5BNld006bAZtGZlB7LpGEDj2jcykFVVVVs2bKFefPmRbcNHx7OgjY0NDBixIgOx6emppKYmEhVVRUDBoQzvsOGDYvuHzIk/LMqLy9XAZ6iKIpy3PS20fmp3WwvFkJMBzL6dVSKoiiHUd7k4VdvbaawtgVNhKdfvrD5AOcXZHPDzHzWl9ZFg7Y4u5U4+8GqhoYpmTMsnUXzxmHVj7xn3Ed7K3ns452YUmKJZNlMCeuKa7nj9Q38aNpwDMNE6+bautCobPZGXy//YDtvflGGJgSWyDk1bj9/Wr0Hw5QkO+18tLeSFn+IlFgbZ+UPYnYkOFT6bt++fdx000188MEHZGSE/xnbunUrmqbhcDiYMGECr732GllZ4eI75eXl1NfXM3ToUJKTkwHYsWMH48aNA2DPnj0A0eMVRVEU5XjoNsATQjwGLI8EcY8d5joSuKVfR6YoitINKSVL3trCvjp3tNiIEALDkLy4uYj0OAe+UPf1n3RNYNW1PgV3AC9uLu5QpbONEIIvqpqoaG7FabNEq3QeypQwOj0egBq3l3f3VHQqmtJ2vfve3Up6nB2LFp6CuacGVu2r5oKxOcx29Wn4SsTkyZMZOXIkd9xxB4sWLaK+vp7Fixdz2WWXMWrUKAYOHMhdd93FXXfdFV2LN2PGjGhlzbPOOou77rqLX//611itVhYvXsycOXPIzs4+zk+mKIqifJP19O7mPCAp8vX8yOue/iiKonwpPj1Qw57a5i73aULw1s5ycnqoVGlKSV5y36KjoGGyu6bre0M4eNxZ08Lk7BRkF0EgwKj0eMZmhjNAb++qINhNMFrV4qWqxUuLzzjkHhqvbCthXZWnT8+ghFmtVp566ikSExO54ooruPXWWzn11FNZsGABNpuNp59+mvj4eK688kp++MMfkpeX16GtwrJly5g8eTLXXXcdV111FcOHD2f58uXH8YkURVEUpYcMnpQyr93XuV/KaBRFUXphe2VjlxmvNqWNrVx78jA+L6rtMtOWEmvnO+P6vkbqsKv1pOT2Uwv4RYuP3TXN0RYMppRkxDu58/Qx0UODhtnt+r9GbwABXQaKuhCsLndzXR+fQQlLT0/nsce6nqSSlZXF448/3u25MTExLFmyhCVLlhyj0SmKoijKkevV/CQhxPtCiJHd7BsnhNjUv8NSFEXpnsOid5sdA7BbNabmpnH9jBHE2A4ea5iSgXExLDlzfJ+rTlp1jZEDEqKvA4ZJZYuX8mYvLf4gppRMy00jPsbGk5dM5RenFjB7SDoz8wZw/YwRPPu9GeQkHcweTs9N6zZiDBgmuqYR7+j6s7gGf6hPz6B01hoI8fzaQn7x73Xc9spaHvlwB+VNrcd7WL2yf/9+rrnmGiZMmMCsWbNYvnw5wWDHCq5SSq699lr++te/dtheU1PDLbfcwpQpU5g6dSqLFy/G7XZ/mcNXFEVR+llPa/Dmt9s/F5gvhBjdxaFnAEP7f2iKoihdGz0gnrKmVtyBEAKBy66T7nJg0cNB24RByQgh+M74wZw1MpNXtpXQ7AuSmxzLt/Izu2w/cCQuHp/D9spG9te7afQGMKVEAJXNkuzEWIanhAM4XdM4tyCLcwu6L7qRPyCBkzKT2diuKEwbXQhcDkv0uQ7lPEZNzatbvJQ1eclOdJLqchyTe5xItlU0cPd/N1Pr8UczwxvL6vnPrjJ+PHUEF5904lbEDAaDXHvttYwfP54VK1ZQXV3N7bffjsVi4dZbbwXAMAzuueceVq5cydy5czucf8stt2C1WvnrX/+K3+9n0aJF3H333Tz44IPH4WkURVGU/tBTFc3TgJsjX0tgWQ/H9rRPURSl37y/p5L73tlCoy9IozcASOo8gqoWH6PTE8hMiOWHJx8sXR9rt3bbaqCvZg1JZ1iqi60VDRimGU7AaYJEh42kGBv/763N/OGSab1uvXD3meNZ/NYmNpU3dEjmnZSZhD9kdHmOYUrGD4w56mdpb1tFA3/+vJDN5fWEDIlF1zhpUBI/mjacUemJ/XqvE4U/ZHDP21uobw10mPbbVrTnqc92k5sSy+Ts1OM4yu5VVVUxduxY7rnnHlwuF3l5eZx11lmsXbsWgJKSEm6//XaqqqqIj4/vcK7b7SYjI4Obb7452tbh4osv5plnnvnSn0NRFEXpPz0FeLcDcYwZoAAAIABJREFUjxCePLQPuAjYeMgxBtAkpWw5NsNTFEU5KGiYPPrRdrZXNhEMGdgtOkHDxJSS1kCIqhYf/7hqToeG4z2RUvL2rgre2V1OjdtPnM3C9Lw0vntSbo8VNn1Bg/JmL6PTE2j2BwkaJnF2K/ZIRm1XdTMfFVYyd3jvOsi4HFYevmAKW8vr+XhvFZqmMW9EBp8X1fDghzto8gZw2SykuhxoQmBKyUlZScwddHSZyPa2VzRy15sb8fjDWVGrHg52Npc1sOCNjTxw7kRGtJua+nWxYksxNW5ft2s6TSl5ZWvJCRvgZWVldSj8snPnTt59910uvPBCADZu3MiQIUN48sknueiiizqc63K5eOihh6Kvi4uLefXVV5k+ffqXM3hFURTlmOipyEoAKAIQQuQB5VLKYHfHK4qiHGtv7Chle2UT/lAIIQRWAVZNRxL+JKrRF6TW7e1VgCel5MEPtvOfSP+5NturGvnsQA0Pnz8ZWzdTIFcX1dDkDaJrAovQaAkGaQ0YxFh1UmLt6JpgQ1lDhwBva3kDL20pZl9dC5qAUekJXDohj9xkF1JKVmwp5q2dZeyv9+APhfjtxzuw6zqJTjutgRDVbh91rQFOzk7h7NGDuGbqcDZvOvQzt757dm0hnm7W9LX4gjy7Zi/3nzux3+53oth2mII9ADuru6+aeiI555xzKCwspKCggKuvvhqA+fPnM3/+/MOe++Mf/5iPPvqIQYMGRad2KoqiKF9NvW10XiSEGCmEOBuIpXNxFiml/HW/j05RFKWdWo8PdyDYaepj2yvDlLyyrZQJWYfPtnxUWMmbO0oBgYmMvsnXhGB7ZSNPr97DjbO6rC2FLgSGNDlQ20qzL0jbcKSUVLt9DE6MJTyzPezf24p54pPdhMyD7RBKGltZtb+GRfPGsrq4lpe3FIcbtgN7a93RqZmGDK/ry06MRQJOu5Vrpg6PNkTvD43eAJvK6ns8ZkNpPW5/EFe7hvFfB6bZfbGe6DE9FPQ5kTzwwAM0NzezdOlSbrzxRp5//vlen/vzn/+c66+/nuXLl3P11Vfz6quvYrPZjuFoFUVRlGOlVwGeEOIa4I+Rl27g0KZNElABnqIox9RAVwyG0f2bbYsueqyu2UZKyUMffsGumhYCIQNNCGJtFtLjHLjsVjQh+OxATZcBnj9kUNzoobCmhWZfEKsu0EU42BJCEDRM9je4GR/pc9fY6ufJTzsGd208gRD3vL2F1qARDTAbWv34Qka4PQJQ2eIjMcaOzaIhgPKmVt78ooz5Y/qvmXZjqx9v0MDRQ9GW1mCQlq9hgDckxcXnRTU9rpfMS+7dlN/jraCgAID777+fSy65hN27dzNixIhenTtyZPh3/be//S2nnHIKq1at4tRTTz1mY1UURVGOnd5+BHwX8DKQLKVMkFImHfIn+RiOUVEUBYCzRg0i3tF1VkECLpulQwuCLo+Tkl+/s4UNZXUEIlkyU0pa/EH21blp9oVnote1+jsFi+/vqeR7/7uSP3y6G3cgRMA08QYNfCEjeqwEbLpGUUO41PwLmw7gD3ZdKAVgZ3UT9a3+6OtwZVCi127yhbNru6qbqHb70LRwhhHAFzJp8QV7FdT2JNXlIO4wgVu8w0ZizNcvo3PpSbnE2rr/rNOUkjNHDvoSR3RkqqqqeOeddzpsGz58OAANDQ09ntvU1MSbb76J2e7Dh7S0NBITEw97rqIoinLi6lUGD8gErpFSNh3LwSiKovTEomv8z+Qh/H7VTgx5cGqmBBxWnfwBCXx3fMeS9vvqWnh9eymeQIj0OAdDkl28v6cSq67hOyTwMqWkssVLvMNKgsMWzeqYpuSZNYX85v2tBEKSkGmiayJa5CVgmGgIbFZBnM1KbrKLPTXh2lNVbl+P2SFDSnztKmUKwB+5piA8ZVRKiS9oUNbUij9ksKemmRtf/Jz1+0pxrq8nJ8nFacMG8j+Th/S6cmd7LruVSdkprD5Q0+0xU7JTiLH29p+Mr474GBu3zhnFQx9+0aliqWFKLhyXw7fyM4/T6A5v37593HTTTXzwwQdkZITXfG7duhVN0xg6tOcORk1NTfzsZz8jPT2dSZMmAVBaWkp9fT3Dhg3r8VxFURTlxNXbf63XA+OBD4/dUBRFUQ5vyVnjaQ2EeGVbMf6QiRACl01ncLKL208bQ3wky1Rc38JNK9awrjS8tsxps5AWa6e+NYDDopMYYwuvnzvk+p5ACG8gyNSccO86bzDEL/+9nje/KKXJG87uBU0TX8jErmvE2iwEDROLJhiRGo8zkg1qi7MOFxRZhEBvF5TZLXo0uINwxlGL9O0TQFlTK58V1ZAZ78SUIBCUNHh4dk0he+taWHLm+D4FedfPGMGemmbqPP5O+9JcDq6b0bupfl9Fp4/IZHCyi39uKmJHZROGaZKdFMvZIzM5tZeVUI+XyZMnM3LkSO644w4WLVpEfX09ixcv5rLLLiM1tee1qDk5OcyZM4clS5Zw7733AnDPPfcwZ84cxo0b92UMX1EURTkGehvg3Qn8XQhhAT4HWg89QEq5oT8HpiiK0hUhBA/Mn8SlE3J5Z3cFrcEQmfFOLpuQS5LTDsCaohquf/FzDtS7o4GSL2jQ6A1g1TRqDB/DUuNJiLHR5A10CPKklKS6HPx4enia2wPvb2dHZSPedtk+i6YhCGfZdE1g07Vws/PIhUwpGZeRBMCZ+Rm8uaMMrZuYa1C882A0CPhCRriIi3nwem0tC0wZzioFQp3X82lC8GFhJe/mDWBeHzJO2YmxPHz+ZJ75vJB1JXW0BILE2a1MyU7lR9OGMzC+f3vunWiGpcZz1xljj/cwjpjVauWpp57i3nvv5YorrkDXdc4//3xuu+22Xp2/fPlyli1bxnXXXUcgEGDevHksXLjwGI9aURRFOZZ6G+B9HPnvg7QvDRfWVgug+9X5iqIo/UgIweScVCbndM5QGKbJwx/toLLZ2yk7Z5oSdyiERRPUeXzkJbuodvto9AYIGia6ECTGWPn9d6YSa7fS5PV3WYBDAFZNIxCZShlzSHGSzHgnF47LAWBcZjKnDB0Q7m93yHVMKblsUh6BkMnLW8NVNEOGxGHV8QUNDNPEruuISHVNicShC0LdrLmzaBrv7K7oU4AHkJUYy+IzxxM0TDyBELE2S4/9AJUTQ3p6Oo899thhj3v//fc7bYuPj+e+++47FsNSFEVRjpPeBniqlJaiKCesLeX1bK1ojBbLKGtqxW90XdhEExAyJd5guFJlustBussBhLN3UwenkRUp1LKxrIHWgIGuCZxWC4FQIHodm0VDIjHlwTWAVk1jaGocd50xNtr0HOBX3xrP7z/dyQd7qqhu8YGQ5CTGck5BFt+bkAdAZkIM/91ZTnGDBw1IjbUTa9UhEtzF2SzUeny0+EMdpnQeqtbt6/s3MsKqa1/LgirfBP6QwStbi1m5t5pqjw9NQF5yHOeMzmJmXlqfpu92R0rJj370I+bOncv3v/99ILyu78EHH+TDDz8kEAhw8skns3Dhwuj6wI0bN3LZZZd1uI7T6WTjxv7r6agoivJN19s+eB+1fR2ZppkK1Eopu+6KqyiK8iUoafSw7L1t7KhsQhPhjFiDN0Cdx4cvaEQaoIenULZNkdSFINamd8qmSSkZlBjLbXNHR7c5rOGplzqCNJeDJl+AtuSZABwWHZtFw6Jp5CQ6mZabxrXThjE4qWNZfU0T/HTWKGbmDuCZNYVUt/iIc1ip9fipcfsYEBfDxeNz+c64wXx6oJoFr2/sMnPW4A0ggSRn98GXw6omU3xTFTe4WfjmJkobPR1+v2vcflYX1TAjbwB3nzm+X3ooGobBPffcw8qVK5k7d250+4IFC6isrOSJJ57A4XDwwAMP8JOf/ISXXnoJXdcpLCxkxIgRPPPMM9Fz2taYKoqiKP2j1yXRhBDTgKXArMh5Jwshfg4ckFIuOkbjUxRF6ZI/ZHDna+upbPF1WN9W2tgaXlcnwlM5pQxXvbRZNGyahgQSY2xcOCYbq0WntNGDzaIzcVAy35uYFy2SAjA5K5WM+BhqPX5ibRZyEmMpbWolZJjRnnchUxJvF5Q2tvLnzwv58+eFZCU4+cmMEVwz7WBD8ufX7OV/1+2NXrvW42d3dTPv7Kpg0byxTB0czq7MzEvnlKHprNpf3SkITXBYCRqShO5aRUjJpKyU/vsmK18Z3mCIhW9upLzJ2+n3BsJrND/dX82y97exaN7RFVApKSnh9ttvp6qqivj4+Oj2+vp63nvvPV544QXGjx8PwH333ccpp5zC7t27GTVqFIWFhQwbNoy0tLSjGoOiKIrSvV59bCaEOA1oy+It5GB18m3AnZFAT1EU5Uvz4uYiypu9HbYVN3gwpUTTBMhwwNP2XjcQMjGkRNcEIwck8MvTCvjVmeN5+tIZPPGdqVwzbXiH4A7CbRnOLcjCjKTtkpx2CgYmkpngxGW3oAlBepwdb8jEHQghpURKSXGjh9+8v41fvraekGHy2YGaDsFdGyEErYEQy97bRmvg4ISIJWeOZ/6YbOIcVkKmiWFKYm0Wvjcxj/ljsqCbNXgZ8U4uPSn3KL6rylfVvzYVUdrYqf5ZB5oQfFRYRXlTz8cdzsaNGxkyZAgrVqwgLi4uut3hcPDHP/6R0aNHdzqnubkZgMLCQvLy8o7q/oqiKErPepvB+w3wgpTyysgUzQcBpJTLhBAxwI+Bh4/RGBVFUTp5Z1c5VS0+hIBkpx1NCJr94bYHNl3DLw2susAwiQZoAcPk5MGpLJ8/mYQYe6/u8/1JQ/CHTP69rYQWfxBNCFJjHdgtOulxMRyod3dqNC6AJn+Iz4tq+duG/XxR1bGFqD9kUuPxYZjhgDM1aOdfmw9w1ZRw7zGLrvGzOaP5yYx81pXUYkjJyTmpxFgtePxB7n13G2uLa6L3NSWMHpjAgtPH4HL03LBc+Xr6pIuMb1cM0+Rfmw9wyymdg7Demj9/PvPnz++03el0MmfOnA7bnnvuOeLi4hg7NlyhdO/evdjtdubPn09DQwNTpkzhzjvvZMCAAX0ej6IoitJRbwO8MYQzd9C5iuYHwO39NiJFUZQeVDZ7+fXbm3m/sAqPP4gEqlp8OKx6uLUA4QAPwGnVCZqSkCmx6YKxA5N4+7p5R3Q/IQTXThvO5RPz+M8XZXgCQUamJ3L/u1vZU9Mcna55KBlZD/jxvqpo/zxJOMvY4A2Es4uRbbUeP8+v3ceVk4d2uJbDqjNrSHqH68bardx3zgRKGj08+85qsgcPZnJ2CmMjbRmUb6bKQ7LZ3RFCUNXSudfhsfDGG2/w3HPPsWTJEpxOJx6Ph4qKCoYNG8bSpUvxer088sgjXHPNNaxYsQKrVX04oSiK0h96G+BVA6OBt7vYNyqyX1EU5ZgKGSZ3vr6eksZWnFYNt09G19m1+IKETBNHpHpljNXCiAHxVLt9+EMGmhAkOK2YZmQK5xFy2ix8Z/xgIBy8BQwz2mi9KyJyXFWzjxhbeEyljR7qW/0IDs5zF+ELsq+uhd+t3MnNp4zq1XiyE2M5Z0gikyYNO+JnUb5+jqROSR9+/Y/YihUrWLRoET/4wQ+49NJLAYiNjWXdunXExMRgsYTffjz++OPMnj2bNWvWMHPmzGM/MEVRlG+A3v6T8DzwayHED4C2ldG6EOIMYAnwt2MwNkVRlA5e31HKgXoPAANcDvR21QAFMtq/ze0P0hoMsam8nqrmVuo9fqqbvWwqrefaF1ZR09K7bEd3hBBkxsd0OSXOlOALmXiCBrUeP3vrW4i1WQiZ4YxeV++tpZTEWnXe3lWBxx/stL+k0cOTq3bx8Ic7+PPqPTS0fjkZGOWrIzcp7vAHEf5dy012HdOxPPvssyxYsIBrr72W22/vOMEnLi4uGtwBpKamkpiYSFVV1TEdk6IoyjdJbzN4dwPZwJ85OEXzM8IfPq8AFvf/0BRFUTraWFaPHkk/WHWd3KRYihs9+AMhfEZbTzqJVdMIGuHiJBD+i0rXBE2+IG/trMATWMMLV83p4U6HN2doOlsrGqj1HOw7FzQl/lC4PYNGeO2fP2iwpbyBimZvdArpoSy6RporhtZAkNd3lHJppDeeP2Sw9J2trC6qwYhMBZVS8uLmIs4cmcms2K6LrSjfPGeMyGBTu/8/uhNjs3DpSYOP2ThefPFFli1bxi233MINN9zQYd/mzZu5+uqree2118jKygKgvLyc+vp6hg4deszGpCiK8k3TqwyelNKQUv6A8DTNG4FFwC3ARCnlJVLKzh85K4qi9DPzkGIm8Q4bo9MTcdjCFS3tFp3UWAcWTcMwJZLwJ1JCCGKs4WP8IYP39lTy6tbioxrL5ROHMGfoQOLsVqSUmIQDMggHlHaLji4EA1yOSNPwcLuG9mSkqufgpFh0TSCEwBMwovsWvrmRVfuqME0ZnQoqhCBgmLy6rYS/7aw/qmdQvj7OHpXJuMykTgV/2jOl5Dvjcojrps3G0aqpqWHp0qWce+65XHLJJdTU1ET/BAIBRo0axcCBA7nrrrvYuXMnW7Zs4dZbb2XGjBnRtgqKoijK0Tui7qJSyp1Syj9IKe+TUj4hpdx8rAamKIpyqOGp8Z2CPCkhZEosmkATkBRjw2XT0UR4rZEuwtuFCAdNIcMkEDL47covjmosmia4/5yJ3HP2eIakxhEyTKQMj8Nh0XBaLeQmu6KtFwa4YnBYdJKcNmKsFpxWCwNcDkamxRMfecNtSJOsBCcAa4rrWFdc2+0aP00IPitvocZ9dNNNla8HXdP4zXkTmZyTiuTQ/0ckNl3j8klD+MHJx27N5ocffojX6+X1119n1qxZHf6sWrUKm83G008/TXx8PFdeeSU//OEPycvL49FHHz1mY1KU7jzyyCOcdtpp0deVlZXcfPPNTJ06lZkzZ7JgwQKampp6uIKinLi6naIphPj3kVxIStm5ZrKiKEo/unj8YP69vYSG1kB0W43bR4s/iCnBqmtUNrfSGgxhSqLT1SQQNEyChhkNENeW1HHzijVcN30EBRmJfRqPpgmunDKMK6cM4+q/rWRNcR2mhBirTlKMDSEEhhnO3MVF+uZlJcR2O40uMz6W00cMBOC/O8vQD1M5I2RKXtpczPUz8w871nBPwC+huoZy3MRYLTxw3iR2VDby6rYSat0+NF0wJDmOyybkkuTsXWuQI/H+++9Hv77kkku45JJLejw+KyuLxx9/vN/HoShHYtu2bfzpT38iPT1cpdgwDG644QaSkpJ4/vnnCQQCLFmyhDvuuIM//OEPx3m0inLkelqDF0/HlggzAJPw2rtKIAWYFrnGa8dqgIqiKG2cNgv/b944lr6zlVqPD7c/SGWLF4mIZM70yBo3gUSGm54LgWlK/NJAiPA0SAnoQmNrRQN3vbmR35w7gZHpfQvy2jisVjLindHXvqBBRYuXFn+QoCHRhERD0OD1kxrr6HS+JgSXjM/hvd0VBE1JaaPnsPcUQtDgDXS7/0C9m39tOsC60jrc/hBOq86ErBS+My6H/AEJfXtQ5YQ3emAiowce3e/zkTJMkw8LK6ls8SGAISlxTB2cqj5UUE44gUCABQsWMGHCBMrLywH44osv2L59O5988glpaeFaggsXLuTyyy+nubmZ+Pj44zlkRTli3QZ4Usq5bV8LIW4HEoGzpZSV7bYnEQ7uSo/hGBVFUaLGD0rmr9+fxatbi/ndyp0kO+1Y9HBRlba3kjZdI2gaSHlw3V7bG81wcCeIsWoIIXD7gzy7Zi+/OW/SUY0rO8nJnppmAFoDIfbWuzGM8Jo7XQAIrBYdISBohseqC4EhJblJLjQNnlmzF3ekimZRvRtDSjLjndFpnl3pbt+HhZU8+MF2fEEjus0XNHhvdwUf763ip7PzOXd09lE9s6J4/EGeXVvIJ/tqqGxpRRfhrLMpJYOTXcwZks7/TB6CRT+iFSGKcsw88cQT5OTkMH36dJ555hkABg0axNNPPx0N7uDgvxkqwFO+inr7N+4vgMXtgzsAKWUDsAy4pr8HpiiK0h27Reec0VnE2CzkJMWSkxjboWWBVdewtJue2aYtuHNYdOIdtmhAuKGsnmZf95mw3ji/IJv6Vj+Vza3srmkiFDI67JdAQoyVFKcDiya4be5obptbwAPnTkTXoKjeQ2sghCYEmhDEOWy0+EPsrWuJBn1d+VZ+RqdtxQ3uTsFde0HD5PGVu9ha3nBUz6x8s1U1e7nhpc9ZsbmYGrcvGtxBOCNd0uDhf9ft5dZX1uINho7jSBUlbNu2bfzzn/9kyZIlHbYnJSVxyimndNj23HPPMXjw4GjFV0X5KultgKcByd3sywaO7p2RoijKEfKFTAKRDFm8w8rgpFgcVj1aOdNh0bDpgni7BatFi07hjLHqxNotZMbHRK/lDYSo8/S9t9wrW4u5792teAMGpc1emv0hPMEQvqCBlOGSFy67hcy48BROgWBbRSPnFGSx6kAtB+o9naaypTjtOCw6hikpb27tdE8pJSOSHIzqYmrpPzcd6Da4axM0TFYcZSVR5ZvLHzJY8OYGShtbe5yGqQnBjspGFr65sccKn4pyrLVNzbz99ts7ZOq68sc//pF33nmHhQsXfkmjU5T+1ds+eC8DDwohPMBbUkq3ECIeuAi4H/jTsRqgoihKVxIcVtJiHdRHmn4nxthIiLHh9gfxhwxirBYcukZGQgxvfFFGyAyvydM1jYy4jk3KHVad5D4WoHhh437+uHoPSBiU6MQbMgiEwsVcgqaJZgoGJcSQGe+k/fvgogYPQcPk0wM1Xb5BFgLyUlzsr3PjCRi0+IPE2a1AeL1TwcAkLsvq+o31+tLetU9YX1Kniq8offKvTQfYX+fu8P9Rd4QQbCytZ9X+GmYNGfAljE5ROvv973/PwIEDufDCC3s87oknnuCxxx5j8eLFzJlzdP1SFeV46W2AdyuQAfwTkEKIIGAl3O7pr8Cdx2Z4iqIoXbPoGtNzU3l9e+nBHnFAnN0a7U03Oj2BGo+fGItOMNJk3DQle+taSHHayU6KRQATs1JIiDny3mC+oMHfNhzoMA/UabPgjGQSIbzLZbNw6PtgCZQ2eqhsacWu611e32HRyR+Q8P/Zu+/4Oqoz8f+fMzO3q3dLtmVbbrhhA4YEHHpJIRAgkKWkkex3s8kmv3jJBghZ4rC0bL7fBNiQOMEpBLLphMBC6BBaAAfbuBfZlmxZsnq5/U45vz/m6kpXzZIsG4k979frImlm7syZi1/Sfe5zzvPQHk1QEvQxpziX3ICHc+dWcP78aWzYsGHI50USo5sOF7ds4qY94ho/RRlISslf9zaPKrjrpQnBE9sbVICnvGsee+wxWltbWbFiBQCmaWJZFitWrOCBBx7glFNO4Y477uChhx5izZo1XH311e/yiBVl/Eb1V11KGQUuFkIsA87ALbjSDrwkpdx9DMenKIoyrC+tWsju1jC7Wrqz3mxKKZmWH6Q1mqQtmqQ8N8Ch7r5pjgJojyXxeXTmFOXw6VNqxnX9RzbX05NIZV0712fQHCazvk8AHbHkoAByVlHOqK6hCSjN8XPVill8ZpQ9zEI+g9go1jz5DR2/MXRwqSjDqe+IsrOlB+8YC6e809RByrLxqn9zyrvgoYcewrL6fi8+9thj/P73v+ehhx6ivLyce++9l4cffpi77rrriFk+RZnsxvSxrZRyM7D5GI1FURRlTHyGzr2XreS/397P63UtdMRS5Pk9rJxZQlnIxw9e24kuNEpz/AgBLZEkCdPKtFKwHYdvf/DEcffB23iok/ZYEkMI8gNetziKz0PQY2QVlUim1wpmCLhi2UymF4SoyAmM2OoAwJFw0vThlkEPtqKqiGd2NY7qOG2YnnyKMpzGnhjj+WcTS9lEUhZFKsBT3gVVVVVZPxcWFmIYBtXV1Wzfvp21a9dy/fXXs2rVKlpbWwcdpyhTyaj+xQoh9pNdjG4QKeWcCRmRoijKGPgMnc+eNpfPnpad3br92c1ZVf1KQn6Kgz7CSZOU7RAwDDyGoKJfsZXReqn2ML/ZWMfzu5tojyYAt3JnQcBLVX6QGYVB9rVHsGwnU/TFlhI93YPvkyfNyfShe/+sUp7Y3jDiOriFZXksqxx9gHfVimpe2nuYlOUMe4yuCS5bqtokKGMX8BiMp16KoQk8mmqXoEw+Tz/9NI7jsG7dOtatyy4r8fjjjzN//vx3aWSKMj6j/UjizwwO8HJwm5+XAXdO5KAURVGOlu3IrO9tR2Logjx/31TJpGVjDcyuHcGT2xu45+Ud2I6kIOilPZZEAJYjaY0kSFo2c4pzmZ4fpK4zQjRhkjBttjR2Mr0gyMeXVfOZU2t4+2Abu1p6KA56Kcnx0xZJDBnk5fg8/MuqhWMa4+yiXL565gnc+/JOktbgapq6Jvin989nxfTiMZ1XUQDmluSS4zNIjvABwlDKcvzk+FQmRJkcrrvuOq677joAVq9ezerVq9/lESnKxBntGryvDrVduO9GfgPMnMhBKYqijEfCtPndpjr+Vt/KpkMd7GntQSJAShyJG+D5PFTkBfAbOhV5ASrygqM+f9KyeeCNPZng0Uj3rDNtB10TCCHoSZjUd0XpSZggIdfvpaY4hM8w8Ogaf9xcz5M7DuHz6G5GT0oc6WA6ZNY0CUDTBCdWFfH50+YO2QrhSC5aWMWsohx+/049bx9sJ5qyCHh0VlQVc/myGWPKCCpKf7npadCv7msZ9XOklLx/Vqmq2KooinIcHNVHaVJKKYT4MW51TfXRh6Io75r2aIKvPfY2dR1u6fZIwiKcNJEINAEBw8BxJF3xFJGkxeyiEBcvmo5nDIUi/rj5AF3xFN0Jk9ZIgmjKwpGSpGUjcadpenWNpp44AUNHE4IZhUFyfG7WsC2aoKErhgSmFwQpDfkRQqALHV2DgEfjY0tnUp4bYHlVETMKQkf1miwoy+ebFyxDSknKdvDqmnqDrUyIjy2Zwav7W44s2QT4AAAgAElEQVSweKOP36Nz9YrZx3ZQiqIoCnCUAV7aogk6j6Ioyrjd+dxW6tPBnWnbHA7H8RmGG3xJSFg2AY+OAEzHIZKy+OKqBWO6xr62MB2xJA3dcaR0p32ajoNIZ+JSlpOZ8lkQ8FKe6yfgcX89ug3L40BvZc0UpSF/1vnjpsOmQ5384IqJXe8hhMCnClsoE2jF9GL+Yfks/nvD/iO2SxAC/vmMBZTk+Ec8TlEmgz2tPTy18xAHu2K0RhLYjiTk1akqCLGoLJ+LF09XlWCVSW+0RVbuG2KzBlQCHwH+eyIHpSiKMhb72sNsOtSRyU61RpLYjoNHE2iGTspxsNONzoMeg/yAh+KQn9q2MIsrRj/9MWnZNPa4wV3ctLGlJOutrXDX4vkNjerCUFa2rCUSx7adzLZoyspk1cBNhISTJi/WNvOd57dw6ZKZLCzPH3k8tsOv3t7H3w+2EUna+D06y6YV8Inls8gbR18/RRmLf3z/fLyGxm831pEw7UHZYUdK8vwevvD++Xxo0fR3aZSKMjo7m7tY+/oeNjd1MtRHFrtbwzy/u4mHN+zngwsr+dxpc9FV0SBlkhpt5u0SBk/EkEAP8D3gjokclKIoykhiKYvfbapjR3M3DpKm7nhWsJSw+t5s6pogoLmNx0tz/FTlB0mYNnHT4qU9h8cU4DWF41i2Q8JyBgd39PW+S1rOoAbi0ZSV/QZYSloiCeKmTTRlkrQcpJR4dJ2fv7WXp3c1sri8gE+eModTq0sHjeXFPYe57dUG8HVkZVC2NXXy6NaDfPbUGj5+4qxR39tQkpbNMzsb6Ywn8eg6p88qpXqU/fsmgpSSf/zHf+Tss8/OFENoaWnhAx/4wKBj//a3v1FUVHTE/crE+vTKuVy2ZCa/3riftw600x1PgRCU5vhYNbuMK5ZV4/eobIcyuf1y/V5+vbGOlGUPGdz10oSgO57i1xv28/eD7dx64TKmH+VUekU5FkZbZGXWMR6HoijKqLxV38rdL2yjM5bMBDaN3TFao0mm5QUoy/Ez1F9oAUSSJrtauomZNlJKfvj6Tmrbw/zDilmcNkQQNVCu3y0P3z+4k9Kdgtar95OwpnCcmuLcvu2y7yBbShKWQ0s4geU4pPpV8rQci854ksr8INubu/nWU+/w9XOXcM68iswxr+9v4T9f3ErUdMj1Z9+sEIKEafOj13ajaxqXLR17DaxIwuSHr+/ijfpWOmN9jdx/+uYeTqws4h9WzGLlzJIxn3csbNvmtttu45VXXuHss8/ObK+trSUvL48nn3wy6/jCwsJR7VcmXl7Ayz+dvoB/Ov3dHomijN3a13fx2411R5xq3J8mBHvbwnztsbf5v5ecrII8ZdIZVW5ZCPGCEGLIOt1CiGVCiE0TOyxFUZTBmnvi3P7cFrrjqaw/xrl+A0dKDnZFqe+MoiNwBjTqSlgO4aRFwrTRcDN7BX4fmxs7+dZT7/BsujG4lJKtTZ08vfMQGw+2I/udR5MCr6Glq3LKzLTP3jYMtiMxRF8w2X8MHt0drwOZMUhkVnDXe/1o0qYpvV4vZTvc8/L2TON0KSU/f6t2xB53vX69Yf+Y20B0RBP8yyNv8tSOQ3THzazXWUrYdKiDW5/axF92HBrTecfi4MGDXHfddbzyyivk5eVl7autrWX27NmUlpZmPXqzo0faryiK0uv53U38blP9mIK7/lojCW5/ZjOOM47GkIpyDA2bwRNCXNJv/9nAJUKIRUMcej5QM/FDUxRFyfbbTXVEEuagN+tx0yFp2ZiOpLE7hs/QSFoOhq7h0QS2lNiOg89wf6VJKcn1efF7dBKWTVs0wZqnN9HUE+Wve1upbetBE+7zqgtDXLCgkk+ePIeK/KCbuZNuoDYUiRs8Wo7EdCS+dGBXHPLSGU9hWg4O4NM1THvwmwIhBF5d0B5NUJ7rR0+3Xvj9pno+tbKG9Qfb2dMWRh/FG5KWcILHtzeMOosnpeRbT23mQGd0xIAoZTnc98pOqgtDLBrDFNfR2rhxI3PmzOFHP/oRl19+eda+3gBuOEfaryiKAu5U/5+8sXvEKZmjsbOlh5+9Vcvn3zdvQsalKBNhpCma5wJfSX8vgbtHOHakfYqiKBNic1PnoMCjKRzncE8cTzqosqVECIFHFyQsG6lrSMBnuBU0pZT4PQalIS+1bT1EUhbScadM/ssf11OS42dGQRAt3eOusTvOz97cw6GuGB9fNpNvP7UJhDv9YeCHtgKwJejCDeD6L13O9XnJ8Ro0p+L4DB1DEyTt7CbkUkq8uo4QItM4vSI3gCYEbze086mVNfz9QPuogjtwA81tTV2jDvA2NLSz5XDnqM6fsmz+8E49tx6DAO+SSy7hkksuGXLf3r178Xg8XHXVVTQ2NrJ48WJuuummTFB3pP2KoigAv91YR2s4cdTZfV0TPLOrkc+srMEYQ9sdRTmWRvqX+HVgNjAH933L5emf+z9mAvlSym8c43EqiqJkZbyklBzuibO/PUI0ZZGwHDQBmpToQmBoGjlenYBXpzDgxW9omebmVfkBDnTFiCQtSK+psxwHS7p98na3hjH7TW3UhcYzuxr5y85G/B63YIsj3V+M/R/QG+RJioI+vnTGAk4oz6ciL0B1UYhPr6yhOOjD6K281i9AdAusaHjTGT+BW6ylV9y0069BdlB4xNfMGf0Uzce2NYw6eAR480Ab0aQ5pvEcrb179xIOh/n617/OD37wA4QQfPKTn6S7u3tU+xVFUQBe3d8yYVO3W8IJnjyG09YVZayGzeBJKVNAPYAQYjbQKKU8vn/JFUVR+inP9dPQFcWRkr1tYdpjyUzBE0lvwRNBRa6f4pAfTaS3I9FFuh2BlOxq7cFOp99sx3ErWKav4QZWNg3dMWb3qxipCcHvNtUxvzSfvx9sy1yz92vmuPTPXYkU03ID/OCK0zL7ehIpXtvfQlfCpCOaJG7aSCQaAo+hjVhyO+R1KxEWBn3IdJZyNPLH0C6hsTs+6mMBehIm+9ojLK08fgVMXnjhBXRdx+fzAXDvvfdy1lln8fTTT3PVVVcdcb+iKEo4YVLfGZmw8+maYEdzN5csmTFh51SUozFiLlm4Pgjk9gZ3QohqIcTPhRBvCCEeSAd/iqIox9wF86dhOw5728K0RZOYtlvkxJF9AZ6haTSG4yTTrRI0IfDqfWXaexKm28POcYiZNnHTXbvnSDBtx53WiduTzhowB/NwOE7MNPEaOprmBlgDV9E5uEFfwNB5aldT1r5cn4eKvACFAS81JblU5QfxGzpCE5iOJGHZJG13jZ4E/Ib7K9qRklNmuFUrP7ZkBkHfaDvcwKWLR/+GQw66m5EJxp5RPFrBYDATvAH4fD6mT59Oc3PzqPYriqK83dCONcQa6KPR0BWd0PMpytEYNsATQuQArwJPABentxUArwFXA43ASuAtIUT1sR+qoij/250ztxzLkRwOx7GldAMS6QZAjiPRBOkql9AaTWaet3RaYWa9XCRlYTtunzqnX48DgZv9M21JPGVh2Q7diVTW9QUQS9n4dG3IqYwCMlnD9liKPa3Z0wKFEJwxuwwpJVJKLNsmlrJIWQ6WI7EcScpyiKUsTNuhJOQHoDDg44pl7q/ZvICX91eXZlX3HIqUkmWVhdSU5I54XH+FY2yO7tE1ZhYev754zc3NnHzyybz11luZbZFIhLq6Ompqao64X1EUBaA9lkTXJraybjRd6VhRJoORMng3AfOBjwL/N73tX4FpwD9JKS8HTgY2A986loNUFEUB+P7LO+iOp/DoWl8fOrLXwPWKpdwZ5bYjuerEai5ZMj2d7ZPu2rZ+AVpvcOd+ddfXJS1nUHpuRmEIiZvpsx0HQxPo6SyhLgSa5n7vTp+UbD88eN3XdSfNoTzXT11HhO6Emc4u9l1IZKaVwv6OCH6Pxg1nn5DVLPpr5yxmYXn+sEGelJLpBSG+ecHSI76m/Z1VU5GZujoay6uKKMnxj+kaR6O8vJzFixdz++23884777Bz505uuOEGysrKuPDCC4fdX1RUxF/+8hdOO+00zjjjDG6++ebMmrxwOMwNN9zAySefzKpVq1i3bl3WNZubm/nyl7/MypUrWbVqFbfffjuJROK43bOiKBPPo2lH/JBsrIwRptgryvE20r/GK4A7pZRPSil7P5b4ONAJPAQgpbSBHwMXHdNRKoryv153PMmLew6DEPh0jaDXIOQ1MNJBlaaJzDRL6KtwuaAsj1OrS/jqmSfwj++fR8hrYDsyE0S5Uzg1xIAgy5YSn9H3K1JKyZUnzqIyL4Dp9K2BE8LN2gnRF2T2FnmJmRZ7Wnuy7iM/6OXsudOIWTYIt6+e39DdzF/6DYdHc+/RkZLTq0s5Y0551jl8hs49H1vJOTPyKA75MkGZIyW5fg8XLKzkB5efSnFobMHXh06opDI/OKpjbSn58AmVYzr/RLjnnntYtGgRX/jCF7j66qvRdZ2f/vSnGOkWGAP3a5qGz+cjFovx4IMP8qMf/Yhdu3Zx4403AnDLLbdw8OBBfvWrX/HNb36T+++/nz//+c+Z661evZpkMsmvf/1r7rnnHl588UW+973vHff7VhRl4iydVsAEz9Ck7Dh+2KUoRzLSQo5ZwMbeH4QQ5cBC4BEpZf+ybI1AyTEZnaIoStpj2xpImDY5PgPS2TZdCHyGTty06C0WmbDcNWFBr0FFboB/v3BZJhi75qQ51HVEONgVI2U76cybG1jFTDe713usJgRR0ybH5wGgsiDIJ0+ew+KKPC768QtA77q/7HcJmhD4Dbc1Q1HQx5PbD/H/nZXdrHtLUyeLygpojyXpiqewHAeBQNMg6DHw6IJcn4eAx2B/Z3TIoipeQ+cTC4s5cfkK/rq3mfZYkhyfwblzp2Vl+8ZC1zS+fu5i/v0vm4ilhp9u5DiSjy6Zznnzj32A98ILL2T9XFRUxN13D9+ZZ+D+rVu3csUVV/Czn/2M0tJSwA3qrrnmGg4dOsQzzzzDo48+ysKFC1m4cCG1tbU8+OCDXHrppXR3d/P222/zm9/8hrlz5wJw5ZVX8sQTTxyDO1UU5XiZVZRDcdA3aBr+ePXOmlCUyWKkDF4c6P9R7tnpr88OOG460DWBY1IURRkkmrIQQhD0GOR43c+mUraTKaYi+s3ZNG2HwqCH71168qA/uo6E6QVBPLob3IE7PTNgaOiib9qOz3C/tx2HeaV5fPejJ5Pj97CwrIDp+QH3XOniLI50C7z0xnqmLcnxGhQGfYRT2cWHWyMJth7uQggoCfmYW5LLwrJ8FpTlMa8kj6r8IGU5AQIe9x53t/Swtz087Oti6BrnzZ/GVctn8eETpo87uOu1vKqIOz60nJqSHOwBwasjJXl+D59cWcO/nrXoqK5zvFRVVfHAAw9kgjsgEyw/8cQT5ObmsnDhwsy+U045hR07dpBMJvH7/QSDQR555BGSySRtbW08++yzLF68+Ljfh6IoE0cIwfKqiav+q+saFy+qmrDzKcrRGimD9xZwKfBk+udrARt4fMBxnwHenvCRKYqi9FMU9OFIiSYE0/IC7G7rIZWejtm7hq63AXl5rp/igI9/f+od5pfmsaWpk6Rlk+/3EjMt8n0eZH6I5nCclO24xVE0jYAXdM0gYOhoQrBqdinXnzqPU6tLMkFB0Gtg6BpeXSMpnUzlyd4xSNzpi70Nb/1GdsDVFklg2w66MbpATAhoDieYW5KH40jqOyN0xpIUBf0Tvoak17KqIn585fv5+8F2nt/TRCRp4dE1FpTmcdmymfhGOfZjIW5abGvqoiOWJD/gZWFZHvkB37DHFxYWcuaZZ2Zt+8UvfkF1dTWGYVBWVpa1r7S0FMdxaGlpYcaMGdx22218+9vf5g9/+AOO47B06VJuvfXWY3JviqIcP5ctm8lf9zUPLoU8DiuqilQGT5lURgrwvgs8LYSYjvue6SLgZ1LKRgAhxErgK8AFuIVYFEVRjplLFs/gV2/vI5K0yPF5CHh0Eik7K8skgOIcP7OLc2mPJdmyuZ55JXkE0xm/1kiSpGWztz1MdWGIReUFtEYTRJImCEFhwEtBwIsAqvKDrL3y/YOmRu5rDxNJWnh1DUPXMG0HJ72mTxNuRs0Qgq54ivZogtNnlWY9P9fvGVwRZgRu6wf40Wu7eG1/C3WdETQEUkK+SHGJuZtrVswmx+8Z5ys7NCEEK2eWsHLm5JiBv6ulmz9uPsCb9a10xlLomsCRkoDHYOWMYi5ePINTZxYfsT/gT37yE5599lnWrl3L1q1bs1oqAHi9biXRVMqdurV3715OOeUUvvCFL9DV1cXtt9/O7bffzp133nlsblRRlONi6bRCzptXwXO7mo6q4XnAY/ClVQsmcGSKcvRGanT+vBDiEuBrQBnw/4Bb+h3yOJAL/KuU8skhTqEoijJh/B6dS5bM4OG/70MgiKVsdE0g0vGdBuQHfcwvzSOcNGnsjiMldMRTmQAP3AIlOT4Pe9rC5Po8RJKWGyRKiKUswgmTilw/VyybOeQf/Ue3HKQo4CWastAAn66Bnv0hsGk7mI5kf3uEbz/9Drl+DydPL+aKE2cyrySPmpI8DnaOrmdSXsDD9/+6k5ZwHCEEvn49/VrCJr/ZsJ+X9zZzx4dXUF10/FoWHC9SSn746i7+uOVAJi72pLOjmhCYtsPrda28sq+ZD9RU8K0Ll2WypwPdf//93Hfffdx6662cddZZ1NbWZgK5Xr0/BwIB3njjDR588EFefvllcnPddhOhUIjrrruOf/7nf2bGDNXUWFGmsn89azG7W3o42BUb1/Ml8JmVNVQfx3YxijIaI9Z0TVfQPFdKuURK+W9Syv5/CS8Fpksp7z22Q1QURXFdf+pczp1bTm1bj9srzpHYEkxHgqZREvQihKAlkshMX3SGmMaY5/OQMG3aIkmklGi42TfTsumMJbGkZMX0oiHHsLmpk+KQj4KAFyklpiOJmzbRlEUkadKTMImlG6nrmiBlO3TGUjy3u4kv/uEtHly/lw+ke+EdScq0ONwdpzWSGPYTZiEETT1xbnlyIz3xiSkYMJnc+8pO/rC5/ohJT13TeHVfM994ciPOEK0e7rjjDv7rv/6LNWvWcO211wJQUVFBa2tr1nEtLS0YhkFxcTFbtmyhqqoqE9wBLFmyBICGhoajuzFFUd51fo/Odz96stsCZ4xT3oWAz6ycw8eXq1bQyuQz7qYdUso3pZSdEzkYRVGUkdR1RNjU2MWsohwCHgND0zA0jZDXwKdrHOpJ0BaJE0lXgJSAMaCZreVIDnZF8Rs6OT6doqCPkNdDyOehNMfPCeX5BD0Gtz+7edAffLfaplvUZXqen6TtNiVP2k66x15fJs+RbhGY/n3lpJT8cv1e/B6dmpK8Ed9QSClJOZKQd6SZ9H0au2P8asP+rG3hRIqXag/z560HeG1/C8l0hdGp4rndTTy25QDaKKdPaULwVn0bP19fm7X93nvv5eGHH+auu+7i6quvzmxfvnw5XV1d1Nb2Hf/222+zaNEifD4f5eXlHDp0iFis79P9PXv2ADBz5syjuTVFUSaJ0twAP77yfVywoJLR/KpxpGRaXoDbPricT62ce+wHqCjjMLp3DoqiKJPAA2/U0pVudF6a46czlszaL6WkKZwuYqJpaEJQOqAXXEskjuVI3FbkMLNw6IXxu1vDvF7Xyhmz+4pwCCHwCMmGw510xFJZfZT6J430dFBpOZLD4Tgz+i2+F0Lw6JaD/OTK01jzzGY2N3YOCmAsR1JdGKQ5nHAbro+CEILX9rfwT++fz7bmLv605QBv1rcRTVpo6b5+xSEf76su5RMrZk2JKUVPbm8Y89oYXRO8sLuJz66ci6YJtm/fztq1a7n++utZtWpVVsauvLycc845hxtvvJHbbruNhoYGfvrTn/If//EfAJx77rl873vf49/+7d/46le/SjgcZs2aNVx00UVUVamKeYryXuEzdG4+fymXLZ3JHzfXs/FQB62RpNvjFPd3ctBrMLsohzNryrn8XS42pShHogI8RVGmhM5Ykg0N7Zmfgx6dRsvOZMg0ITA0ge6A5YCmQVHAm1mv1asnYWY1JB+OLgQv7DmcFeB1RhOsP9hBezSFQ3atlP65OFtKdCHQNUFnPMW0vGBWJrE1kuDFvc3ce9mpbGho5/FtDRzuidMVT9IcSQCSdxo7qO+IoesauT6D4qCP/HQBmOHUd0a45+XtPLWzMfO69AabhhB0x02e3tnIK/ta+No5izirpmKEs7279raFeadpfJNEDvXEeG53ExcurOTpp5/GcRzWrVvHunXrso57/PHHufvuu7n11lu59tpryc3N5Stf+QoXX3wxADk5Ofzyl7/kzjvv5Nprr8Xv93PBBRdwww03HPX9KYoy+Swsz+eWC5a5HxZ2x9l6uJOk7VCRG2DptMKjbkOjKMeLCvAURZkStjd3EzctLEeyu7WH7riJI2UmsBJIbMdtFu7XNQoDXmYMkZ3rvyYv6B258mQ4md3D7hMPv0I0ZWWuOdwESynBQeLTdGxH0hKJU5nX11ZU1wTbDndz+TI4aXoxJ00v5neb6njgjT0IRDoYFGjCPVk44a7tKwx4qS7KGTbI64qZ/Ort/RQEvCPeVyxl8d0XtpHjc4u/TEbP72kad/lyXWi8eaCVCxdWsnr1alavXj3i8ffdd9+w+2bOnMnatWvHNxBFUaYkIQSVBUEqC4JHPlhRJqFxr8FTFEU5njyaRjRlsbWpi85YalATbokbvGkIynL9TC8IDhkIZaZDCijLGb5/GkCg36e1Gw+2s7mxM2ud3Uik7Mvwxc3Ba99Sdt+2x7cd5Md/25NVHMTQsn89C6AznqK+MzLs9Zoj8UzG7kjips3P3tgzqmPfDbH0Osrxiqam1npDRVEURZkoKsBTFGVKWFZZQEs4Qcx03/j3hjGi30PitijI9XlYWFaALQevX+stWlKVFyTgGX4Sgy0d3lfd1wPuh6/vJpIwSaYbox+JBKIpi5hpEU6aDKynkuNzs4eW7fDQ3/cx8IA8vwdDz54OJIDOWCpTRKa/tlgC0e/+RmN7cw9bxzkN8lgbbWGV4Yw20FUURVGU9xo1RVNRlCnhjbpWwkkLRw7fJ1wADpCwbGYWBjlvXgXP7m5iZ0s3SInPo3PuvAo2HOxwG46PYFpukAsXVGZ+3tvWg5kuzjJaErBst43CnrYe5pbkogmBA1w03z33E9sbaAknBgUkmhDk+T2DCskIoC2SIGdAz7uuWIp8v3dMgZEm4Ikdh1gyrXAMd3V8lIR8bkZ2nIHekaap9lfb2sMfNx+gsSdGwrTxaBr5AS9n1ZRz/vxpaCpYVBRFUaYQFeApijIlvFHfRu/kSMnQQV7v9pZwkkjS4qoVs7hyeTWHw3G6EyblOX4Kgz5+v6mOn7yxG2eYApVBr8G/nrMIvd80yeaeOI4jx/xmXwKOI+mMp9jZ0sMJ5fksLM1jebrP3t/qW4fNNpXn+ulJmNgDBjpUBk/X3KmpY9U9SXvnfWzpTH69sW58UzUFXLJ4+hEPe2FPE49tbWBzU+eQ/55eq2vmwfW1fKCmnM+dNm9QwR5FURRFmYxUgKcoypQQN93iJppwZzMOXAcncOecCwGmbRNMT1UUQjAtL8i0vL5jr1w+i8KAl9+9U8fu1nBWNc3lVYV89tS5g7JampYuesLYa3+YjkTi0B5LsrO5i5n5Af7z+a2kHIdX97YQM20KAp5BLQH8hk51YYj6zkhWPz3bkVkzOgsDXlZUFdKdGM+6tcmZnQp6DU6bWcKLtYfH/NxF5QUsKMsfdr+Ukp+8sYffbawDhn8FdKFxOJzgtxvr2NzYyd0fOYm8MWQGFUVRFOXdoAI8RVGmhOKQP916QENKmX707e/NrMl0i4Iz55QNcybX+QsqOW/+NDYd6mBnSw+aEJxWXcysotwhj59eEKK2PZJVhXMsepua9yRS/HlbA8/VNjO3JJcD3THCSRN/WKck5KMsJzsLl+f3MK8kj+aIm4W0bQdNEzhSEvJoXLigkutOns09L+9gQ0PHmMdVGJy8AcvVJ81i/cE2IsnRB666JrjyxJGbkK97s5bfbNg/pgbqO5u7+bfHN3Df5StV/ytFURRlUlPzTRRFmRKuWl5NyGvg0YQ7FVMIN6uWfvTSNcGMdDPaIxFCsGJ6MVefNJtPrJg1bHAHUJ4bIN9vIJ3xBXgi/TRbCjQhiKUs9ndE8BsaAkhZNoe6YzR0RQc91+/RqS7MYXF5AdWFOZxUVcQ3L1zGnaumc+N5S6gqCHHuvIohi8qMRAIfWzJjXPdzPNSU5HHD2YuyqpmORNPgc6fN48wR+vu9UdfKbzbWjXltnxCCPa3d/L+Xto/peYqiKIpyvKkAT1GUKaEiL8iZNWUYmsgEeQNJKfHrOt+6cNmg6Y5Ha2F5HgvKCsj1j37iQ291TwAbssYkgHDCJOQ1MtsF0BpN0hpJDHk+XRMUBL189tS5nD9/Gt5+a8IunF+JT9c52BWlriNCfWeEpp4Ypj18u4Cl0wqYV5o37P7J4MyaCm770HKqC0PDZk9t6VCa4+eGsxbziRWzRjzfn7ceHFSxdLSEELy+v5XogP6IiqIoijKZqCmaiqJMGb+4+gzO+eGzbG3qQtcklu1gp6drapqgJOjnn0+fz2XLqif82lcsq+aZXU0smVbI3+pbsUeZLMs0YhfZX8EN6HoSJrk+g56EmQkI26NJSkK+IYPU0hw/ly3rm4IopeRPWw7w5I5DNIcTdMRSmemgUkpaIkny/B6m5QXw95tamOMz+MLp80f/AryLTppezE//4XRer2vlie0N7G+PkLBtfLpGZV6I8+dXcNHCyqyiOENpCcfZcKj9qMYSS5n8dlMd158276jOoyiKoijHigrwFEWZMgxd56UvXci3/rKJR7c20J1IIYTAb2gsrSjgo0tm8OmVNcfk2vNK8zhv3jSe291IachPazSJlJLhZldo79QAACAASURBVGwODM004WYdBzYwj5k2C0rz2NPWQ9y0EUDcsulJmOQPKOiR6/dw64XLMmvApJT85wvbeGrnITQhKA75QEBDVwwpJUIIpJR0x1NEUxbVBSFCXh3TkdSU5LAu3eg85PXwgTllnDdv8rYEEEJwxuwyzpg98trKkfz+nXpMyzmq7K4Qgtf2t6oAT1EURZm0VICnKMqUomsat3/kJG696EReqD1Md9ykLMfHmTXlR8zgHK2bzluMIyU9iRQdsSQ2Ag2Z6c033MS/3nBCA4wBAZQjJbommFeax4HOKD0JEykl4ZTVF+AJWFZRyBdXLciaUvn73R282emgi777Lg76CHkNWiIJehImKctBCHeN376OMDMKQoS8BnvbIlnjeHnfYR5cv5fz50/j0ytrJnyK62TQGklMyH21hBOZAFpRFEVRJhsV4CmKMiV5DZ0PLqwatL07nuSJ7YeImhZ+Q+eiBZWU5QYm5Jq6pvHvFy7jQwsrueHPf2f9wTZs3CzZwOAuMzUz/b0j5ZB91HpbNOhCMLsoB8uRtEQSzCoM8b5ZpeT7PXx08QxqSrILwDT3xHhiXzdRdCzbQabPEfIZlOX4mVngrllLWDaW7Z4znDTpTpgUBX1DjEOjqSfOg+v3UtsW5tsfPPGYB8zHW8IaWxGa4SRtG9N28KpqmoqiKMokpAI8RVHeE7pjKb738nbWH2gjYdqZ6YkPv72Pk6YX85UPLGRaXnBCrnXKzBJe+NKF3P7MZn742m66EimsYeZq9jZfFwgsRxJNWRiawGfoCMj06+tlaILKvAAXL57Ol1YtHPKcT+04xLee2sSBcBKPkf38cNKkNZKgwO9lekGIoMfgYDRKOGlmCrtYto2hDx2caELw2v4WvvP8Nr5xwdIxvjKTm3eCGpV7dE01PVcURVEmLfUXSlGUKa8rluTLf3qLV/Y2k+y3xkoIgWVL3qpv46uPrh+yBcF4r/dfL+/g5+tr6UmkcBw5ZLPs3m0y/UPvz6YjiZs2Egb1vQNwJKwaZq3Zf2/Yx/99aRsHOqNDThEUgONI2mNJatt6iJkW7dFkXzVPx6E1mhzx/jQheHZ3E1sax95XbzIrmqCef8XBoQvgKIqiKMpkoDJ4iqJMSfUdER7ZfIDWaIK/1jbTHktSnhvAGOZ9d1skyXde2MZ/XX7quK8ppeQHr+7kkc0H2NjQQcy0EaKvybrjSHonAQrcipm6cDN3TroBe+8+23EbtQ/V421hWR4nVhUN2v7MrkZ+/lYttiNJHaGMpwCiKYtdLT1ZwacQAnMUJUA1AY9uPcjSysHjmKouWzqTx7c1HNU5pJScVl0yQSNSFEVRlImnAjxFUaaUpGXzH89s5o36VqR0i4fsbO1GSmiPue0FpuUFh8yobTvcyfbDXSyqKBjzdaWU3P38Vp7ccYjath6StsPAJI4c8L3brUCi4WblJCBxv9E0geU4hJMmuT5P5nlCCD5+4kwGklLyu011OM7Y2rhFUxZ+j47Rb7Cjff6b9e3EUtagaaRTVXVRDsurCtl0qHPc5/AaOlevmD2Bo1IURVGUiaWmaCqKMmXYjsPXH3+b1/e3ZIKUtmgSmZ4i6TiS5nCCQ92xIZ8vEDy1s3Fc1/6fbQ08s6uRlkiCWMrGHhAlSdm33q7vem5g15svc3v2uTskkLQctjd3U98ZJWG52cDPnlrDefMrB11//YE2alvDgJtdE6NoZyDT1xuYsRttK4SeRIrdrT2jOnaq+NDCqmEbph+JlJJTZhRTFBpcpEZRFEVRJgsV4CmKMmU8uuUA7xzqzFr/ZA8oVy+AtmiChGUPeY5w0hzXtZ/e3YgQgu54yr3mgP2Svm1DfdUEGAI8usg0NBcCLEfSEUvSHI7z8ROrufbkOUNe/y87G9G1vrWFoSGmdg7UW/fFdvqqfEqgIOAZ7ilZNCHoiqdGdexUcf6CSj58wviCvBkFIb5+zuJjMCpFURRFmTgqwFMUZcp4sbY5E+T0EkNMxpTS7Xk2FN84Stvvaulm++EuehKpI65966//kZoQ6JpG0GMQ9Oh4NIEhBD5dML8kj+rCHJ7e2UjtMBmzzgGBVnHQf8S5lr0vlaRv+mjAY5DrG12xEUdKCgITU5hkMvnaOYu5YMG0UQd5Ukqm5we58yMryHsPvh6KoijKe8t7Y2GFoijveUnLZs8QwU9+wENrNDFoamTMHJzBsxyHU2cWj/namxs7EQi3Qmf6/FIyaA1ef/0bn2d64qWP1zWN3ir7XkMn5DMwLZvdrXG+8qf1XL5sBmU5AT50QlWmHL8zoA1DQcCDz9AYOk/Zez2BJtKZPAlSQHFo9AFKfsDL/H6N1d8rhBDcfN5Saopz+cvORuraI4M+OAA3wM3zezituoQvr1pIrl8Fd4qiKMrkpwI8RVGmhJTlZPWaM22blkiCnoRFwnTXxGlCuJkxze2BN1B1YQ7nzK0Y87Xt9HVFeu2cR9eGyOQJBrc772M5Ek246wj7NxDXgH3tYcJJE8eRNHbHaOqJIYC1r+3inHkVXLGsmqRlE06YePR0Dz0hmBbycDjuDNuDT+AGk9JxAElx0E9paHBbhuGcNrPkqAusHD58mDvvvJM333wTwzA488wzuemmm8jPzyccDrNmzRpeeuklvIbOxz7scONJfc/dvHkzd911Fzt27KCoqIhrrrmGz3/+80c1nl5CCD6xYjZXLZ/FK/ta+MuOQzT1xIlbFh5NIz/g5bSZJVy5vJqAR/2pVBRFUaYO9VdLUZQpIejVyfN76EmYdMaTHOiMYdo2mnCbTtuWjSMlCctBF2JQYOIxNP7P++eNq39Zea4f25Hk+DyZTKGhiUxg1VvMZCQCsKWbWfRoEp+hkbIltpTETTBtiSUdbEeyu7UHr65R2x7m1boW7nh2M/l+L91JE4HAZ2jk+z0EgbkledR1RoiZ9pBz7g0NpBSU5waozAuM+p4d4GNLZ4z6+KHYts0Xv/hFCgsLefDBB0mlUqxZs4Ybb7yRtWvXcsstt3D48GF+9atf8caLF3PPWo2Fy//MpZdeSkdHB5///Oe57LLL+M53vkNtbS1f+9rXyM/P58orrzyqcfUnhODMmnLOrCmfsHMqiqIoyrtJBXiKokwJuqZxyoxiHl6/j/ruaKaPHDhomkAXAke6pU4sKUnYDlJKHAkVeQG+eMYCVs0Z35v4M2vKqcgL0BpJEPJ5iCZNvLqO7Vg46WscaTVXb9sETQhMx8FMuYGormnELAcnXSxGCJGpsGmli7lIKUlYCXyGhq65fexaIwkcx6FKS7KgNI+uhElHNEnUtNzG60Lg0QXFPh+nzijiUE9i1MGtIyUXLJjGkmmF43q9eu3YsYNt27bx6quvUlpaCsAtt9zCNddcw6FDh3jmmWd49NFHWbhwIUZMcuCgw4MPPsill15KY2MjZ511FjfddBNCCGbOnMnpp5/O+vXrJzTAUxRFUZT3GhXgKYoyZSQth/quKJbjZNoSAEhbYgGGLvCl16wFDZ2q/CBXLZ/FhxdVZU2LHCtd0zhjdil/2nyA4qCXSNJEE+A1NGIp+4jBHZAJ1CQCmW6doAtIWO5Uz97gSwKWLUH0q8KZDvoSpo3fA4amZbY1hRM4EirzgxQGvJmgVgg3mCzPDfDzq0/nP1/cxnO7m9COEOTZ0uEDcyq46dyl43ux+qmqquKBBx7IBHf97/OJJ54gNzeXhQsXZvYtPgF+/acdJJNJlixZwne/+133NZGS9evXs379em6++eajHpeiKIqivJepAE9RlCnhd5vqeGZnA1JK7HRE1Ruq9K6Gs2yJhsOyyiJCXoOKvAAfXXJ00wx7fWZlDX8/2I4QgkjKoj2axHbcnnLSkYxUW7N/SOVIdy2ekGA6Ek0Tg/YLQBuqOqgQpGyJJmQmUBNASySBz6NTHPQhhEBPPzXX7+HfL1yKx9D5xvlLqSnJ5emdjexvjyBEb6sG92DbcZhRGOKC+ZV88pQ545rKOlBhYSFnnnlm1rZf/OIXVFdXYxgGZWVl2ccXSBzHoaWlhRkz3P9vUkpOOukkYrEYZ599NhdffPFRj0tRFEVR3stUmwRFUSY9KSWPb2ugvjOGLSW6EJmKlJkKlemvtnQLsADs74hO2Bhy/V7u+sgKZhQEmZ4fpDTHj+042Rfvx9DcCpZZ1T17fxYiU2WzfzEYma52OVTrh77LSLy6Pihr2B5NZr63Hcm0vADf+cgKTigvACBlOziOxGtoWLZDQ1eMA51RDofj+AyNL606gV9es4pPrayZkOBuKD/5yU949tlnueWWW4jH4/h82Q3De2uZpFJ9LSEcx+GXv/wl999/P9u3b+fWW289JmNTFEVRlPcKlcFTFGXS+2vtYTY3dhBOmpngQ0cg+/ciEH3TIOs7YxQEfFjOSE0Exq4yP8SPr3o/v9tUxy/e2ktzTxzTcUhZMtPMXBPgMwx0TWSqe/bnIHGcoett9m4dKb6SCDy6xpySHBrae0hKDctxiCTdaqIrZxZz/vxKPnRCJbqm4TiS+1/byQt7DtMVT6EJgc+jM7MwlDlnwrRZ98ZuNh5q58ZzlpAfnPh2APfffz/33Xcft956K2eddRa1tbVZgRyAablfA4G+YjC6rrN06VKWLl1KKpXihhtu4OabbyY3N3fCx6goiqIo7wUqwFMUZdKrbY+4wYmmIW07EwCJzH/6CCGImxZSSooCfsKJFL/dVM/6A210J1IYmsa0vAAXLqjkvHnT0IbofzYSn6HzyVNq6I6bJEwL05Y09kSJpexBma/e6p5Aet3d4Gqbjuy7j94iLCOSkljKwhAa00IecnJysaS7JvEji6q46by+tXOm7fCNJzay/kAbuiaGPbcQbkXQN+pa+Zc/vcWdH1nBjILQkMeOxx133MFDDz3EmjVruPrqqwGoqKigtbU167jOToFhGBQXF1NfX099fX3WFM/58+fjOA7d3d0qwFMURVGUYagpmoqiTHqW7RBNWZlpj0diO5KeRApDg6sfepX/fnsftW1hWiNJmnribGjo4I7nNvPZX782ZPP00RAC/B6DXL8Hr2EMOa3R0AReXcN23HYIw1VjsaXMVL4cLr5Lz94E4fbbM9PZSSHAo2l4dY1oyuo7XkrWPP0Ofz/YNmQT76HvSdDYHeOWJzbSE08d+QmjcO+99/Lwww9z1113ZYI7gOXLl9PV1UVtbW1m27adsGjRInw+H2+99RarV68mHo9n9m/ZsoVQKERlZeWEjE1RFEVR3otUgKcoyqQ3LS+A7biZLkPXjtxzTkBn3GRHSzdx0xoy+NKFRkN3jJv+ZwP72yNjHlO+35NZP+c3tCEbqzvS7W/Xu/ZuuGGL9JgH9tOTuEVXbMcNAB1HYtkOcdOmLZpkYH/z/j8/tfMQr+1vPnJGcAgNXVHuf33XmJ830Pbt21m7di3XX389q1atorW1NfMoLy/nnHPO4cYbb2Tbtm289qbgkSc0Pv3pTwNw0UUXEQqF+MY3vsG+fft4/vnn+e53v8sXv/hFtKOoiKooiqIo73Xqr6SiKJPeufMqCHh1ALy6hqGLYYM8iTs10qMJvLp+xHN3xVN8/6/bxzymSxbPwO9xz1+WE0DXs3+dSiCRbr6uCYGuudUt3QqZfTQh0PpNn3R7+blfHUdmBW0SNxB0pKQ9mmRfd5JD3bFM4Bjq19z9mV1N6GJ8v+KFELxZ10bCPLo1jE8//TSO47Bu3TpWrVqV9di3bx933303VVVVXHvttfz4QY1rP+5kqmTm5eXx85//nO7ubq644gq+/e1v86lPfYrPfe5zRzUmRVEURXmvU2vwFEWZ9HL9XpZNK+CtA+0IwG/opISD5Tg4TnZREr+hU5HroyIvMOz5Btp6uItdLd0sKMsf9XPyAl6WVBTy8r7DgCDHa9AdT2WyhVZ6Wmb/sQkh8GgCny6IpOx0r7r++90sXG8RFsGAKpy4FTZ1zQ0MLcehJZIgZTtMzw9yenUJAHvbwmxp6hz1vQylO5HiD+/Ucd0pNeM+x+rVq1m9evWIx9x3330A1G4YfJ2amhp+9rOfjfv6iqIoivK/kcrgKYoyJXzutHmU5Pgy2SpNCDT61qwJAQV+D8srCwl5jGEbm0sJ7bEkjT1xGnvitEWTSAmPbWsY1ThM2+EP79TxxT+8wcv7mqltC7OrpZuueJKU42CmgzPLdoZsduDVNXRNcxuyD8hCikwjhCE7L6TvVeLpd28CNwsZN23OmlsBwJM7Go44jfVINCFYf7D96E6iKIqiKMpxpzJ4iqJMCZctnclf9zXz3K5GDnXHSdlOJj7S01MgbQmRpEl+0Es8ZWFLidfQM4VOmsJxuuMpUv2CLwkcDsfRBfyf0+aN2CJgd0s3a57eTGN3DF0ThLwGs4pyqO+M4jgSQzgkLJsU6YblA9a/eQ0NXYDPo7OwLI/tzd1EUtaQ6+QGBnluts8NAY2BRVOkJGZaNPXEqcwPEklaTIRwwpyQ8yiKoiiKcvyoDJ6iKFOCoWtcvmQGKVvi0TVCXiPzCHh0PLqGLgRtkQRvH+xge0s3u1t72Ha4i53N3Wxu6qAlHMcckFkTuNm2ve1h/uVPb3Koa+jm6LWtPdz0xAaaw/GsqpT5fi81xbnk+DzoukbAo6P1m2rpSLdHns/QyPd5qcwPsqA0D7/HYNm0QnJ9nkwBFmeYMixav+DOb2hZgaOUkly/l7KQj99srAPc6aETYaLOM1Ypy6YzlqQnkRqyeI2iKIqiKMNTGTxFUaYEy3ZY+7c9zC7KIZw0aY8mSVq2W1RF0zA0QWc8ieUITMdBCB2PJpBARzyF5TgYQuA3tEFVGKV0g8bG7jjfeHITP77yfZkCKr3773huC93xoTNaIa/B3JJcEpZb3TJuWrSEE/gNjWn5QfyGjt+jE/Rk/8o1dI2lFQXUdUbpiCezipr0Vt4UQiDTQaLf0LKnnkpJnt/D7OIcNCF4va6FL9sLCXiOXFxmNCbqPEcipSRl28RNm+t/8xpNPXESpo0mBPkBLzPyg5xQkc8/LJ9FQdB3XMakKIqiKFOVCvAURZkSHt/eQEs4ga4Jcn0ecn2ezL6ueJL6zhi9kxoNTcO0HTyajuk42OlKlraUJCyHgEdkZcGEJigN+QE40Bnhd5vq+NTKvqIfL9UeZn975Ij95PyGzvT8IKbtEElaaAJKgj68xvCBkqFrzC3J5UCXxqGuGLaUSCkJeAycdPZKIDG0vsydBHJ8Bn6fYHpxbmb74Z44+9rDLCzL53+2NYy6/91wqotyjur5o7G1qZMfvLqL68pSCKC+w82g9k5b7Y6n6I6n2NLUyZ+3HOS8+dP48gcW4hvhNVUURVGU/81UgKcoypTw2r6WIQMWKSWNPfFMNk8AuiYwbQdHgmXLzJRMkQ7yTFviNUTm+bk+byZjpwnBX/c288lT5mQCp7/sbBx0bdOyaYslsRy3d52uCYqCXgIeA4+uEfQYxFImLZEE0wtCfeNNX1OQ3dTcm57eKaXEZ+jML83LXLMrbpKwLBwJuoA8v5eg1yAcDmcFqoam0RJO8KETKnn47X20RhLjf8EFXLFs5vifPwo/f7OW326qc6fNlh1hOEKQsh2e2N7A5sYO/v3CE5lXmndMx6coiqIoU5EK8BRFmRK6E6lB26Ipi/rOCO3RJAjRt7YuPdOxN3uXXaxEYEkHL25zcq+hU10QzDrvntYe9rdHmFOSi5SS7Ye7MvsiCZPWaIKepInjZBdSaY0kyPEZFAV9FAS9xEyLWMoNPLviKTpiSaIpN1DrDURzfAalIX/WeQoCXox+ffUKg15g+OIvvRwpCXp1dE3j9NmlPLr5wJBN3kdjSUXBmNpGjNX9r+zkD5vrx9yIXROCQ91xbvqfDdz1kRXMP4ZjVBRFUZSpSBVZURRlShjY9qArkWJve5ieuInoH9ylSelmypByUMsA23GbiId8HuaW5OIZMN1PCGgKxwGImzZJ2wGgJZJgb0eY7oSJlAwZPEWSFvWdUZKmhaEJ4pbNzuZu6joihBNuUEh6GqZlO3TFUuxu7aElnMCWEl3XKMsZ3zozTRNMz3ezhdeeNJui0PjOo2vimGbvntpxaFzBXX9d8RS3PbuZpHV0zdiVyUdKyec//3kefvhhAN58800WLFgw5OPRRx8d9Pzvf//7nHvuucd72IqiKJOGCvAURZkSZvTLssVNmwPp1gTD1VgUAjy6Bgg8ukAXwu2dJwSGJphZGGJ+ad6Qa7mkJFMQxdtbnTOapLE7lgkWpZSkLIeEaZMwbZKWje24gaAA2mMpkG6WMWnZQ/a1y4wVsByHpOVQGvJh6ONbX3bitELK0w3ei0N+vnnBMkLeMU7UEPCZlTWcWVMxrjEcSXcsxbo39xxVcNersSvGPX/dMQGjUiYL27ZZs2YNr7zySmbbihUrePXVV7MeV111FTNmzOD888/Pev7WrVtZt27d8R62oijKpKICPEVRpoTLls6kN5xriSTcTNgIDM0N5oRwA7aARyeYfvgMg1y/Z9jn5vjcqpjgFkEpCHho7IkBYDtuUBc1LZK2jSUllpSYjiRm2sRMi5TluNm5RIocr46uiRHL/Usp0YWgJOTLVAcdK9uRnD9/Wta25VVF3PmRFRSHfJmCLSONwaNrfOmMBVxz8pwxX3+0Hnx7Lx3R5IScSwjBi7WHaTuatYbKpHHw4EGuu+46XnnlFfLy+tZXer1eSktLM4/m5mYeeeQRvvOd75CT01cIKJVKcfPNN7NixYp3Y/iKoiiThgrwFEWZEhZVFHDy9BL+f/buPE6uqzzw/u/ce2vtquq9tXdrX6zFkiWveAVsbDAmkNgQYhLnjYFMZoJxQmyGAGExhiEBQl5IwngYwowhwSFgmxji2PESCxvZliVrs7VL3dp632q/y5k/blep913qavF8+bSQbt0691Rvvk895zyP43n09NuPZ6rhg6eAafQ1BTdwtaZ/PBiyjL7s3vAura8ZEAAGTAPH9bBdj4ztB3WghizRVErhacj2lfzX2n/u6toEtbEwAdMYMFetNZZpUBMLs6ouwZKqGB7Q3DvxgGVeIsItaxYMOb5uXiXf/+Bb+P3Ll7OkOlbMMha4nqa6LMR71tfzD799Fe/b0DDha4+X63m8dLR10vsCh5N3XP5p59FpG0/MnB07drB06VJ+8pOfEI/HRzzvL//yL7n55pvZvHnzgOPf/va3qa+v5+abbz7XUxVCiJImRVaEELPG596xgQ8+/AK26xWX+AVMRX5gzELIMjGLjxvYnofjeQT7AqxEODDiEkENvGftorP/1rqvYTl+Zm0cwYlC4aIxgLzjYRgGCyvKWKA13VmbvOsXXgkaBuWR4IC5LCyPcqo7g9fX2mE8oiGLT719/YDCLP1FAha/u2UZH9q8lFea2nmzuZuM7RC0TObEI9y0ch6moTjU1st/bD/C6Z4MedclaJrML49y2aJqlk9Dxco9p7s42ZMmYEzfe4tKKd440z1t44mZc9ttt3HbbbeNes7OnTvZtm0bv/jFLwYc37NnD4888giPP/44Tz755LmcphBClDwJ8IQQs0ZZKMDvXbqM/c3ddOdssra/t81SfhBnmUZxz1yBqSBkGsW9en4Rk3Dx8d5cnp6s42fWFNy8ej6bFlYVH+/O2pzszuCh0cMUcxmO13c1DWRtl+5Mjqq+SpkVkdGrYVZFQ7ha05nOUz1GkRStNRWRIP/97etYP79yzHkppbisvobL6msGjPHjXcd5+sBp9jf3YKiBxWO01vzPl2BNXTk3rprHe9fXTzoD9/qpDqxpzN4VNHWncT1vSCEeceH54Q9/yPXXX8+SJUuKxwpLM++77z5qa2tncHZCCFEaSibAW7Vq1XuB2/fv3//BmZ6LEKJ0zS+PMCceYX55lJ6sTd71AE1XJk8y5wwbfARMg1goQM52WVAeJmgatPRm6MzYpG0H8Mvv18XCvH6ykw/9YCtXL63j9y9bTjJnc7o3jaUUnqGwPT12kKfBUP6YLhp70LLIsdSWhVkzJ8GceJSXG9tI5ewBr8vTmupoiPXxOPfddhnzy6OjjDayxs4kX31mL3vOdGIqY9g+g0opTOBAaw9vtHTx3OFm7rth7YDefuPVlspP6/LMgq6MTXsqR108Mu1ji9KRz+d56qmnePDBBwcc/9u//Vvmzp3Le9/73hmamRBClJaSCPBWrVr1TeAdwM6ZnosQorRtWVjDnESE9lSO8n7ZsJqyMCe703Rl8n7j7H6BhKEUN6+ex4c2L2Vvcw/feXE/Z5IZFIqwZZIIB6iLh4tLB0/3ZHhkxzG2N3XwiesvojfrYChFyDIxXA/b03h6aKCn6dsTaFB8zHU1WWdiAR5ANBjgMzdtIJWz+ZddjTQns+Qcl2jAoqEyym3r6tm1c8ekg7t9Z7r47L+9Tmc6h6nGl/kylcHe0138yWOv8sAtGyfcg84do9DLZGntnbOxRel49dVXcV2X6667bsDxxx9/nNbW1mJxFdu2cRyHTZs28dBDD7Fly5aZmK4QQsyYkgjwgBeBR4GPjvcJe/bsmdAFtm/fPsEpifNJvj6lqxS/NovMHEd7eoZkg8pNiJeZdOUg73po7feGu3xOlI8uC6E7T7Bzfyumk2NJrH8VTZdsKsXg0iY7e3u5t7mFdDaH7ruWAYQMcDW4HsWln35BF4WhIOv0a9+gIJ3J0mtNLABpb3GLn/u1BqwtboGzwcmwa2c7MLmvT1fW4csvn6YnP7kecr29vfzXHz7Ln18+j/gE2jC0nW6nt7d32McKVT5HenwsB/ft4VRgcu0lzqVS/PmZDXK5HI2NjQM+f0888QQNDQ288cbA1hj33Xcfrnv2e3nr1q0899xzfPrTn8a27VG/BvL1KW3y9Sld8rUpbec1wFu1atUfAPcOOvz7+/fv/9GqVauun8hY69atIxQaXxPf7du3D6m2JUqHfH1KV6l+bRavznLyX7bRmhxabj9jO+Dm4Lk6nAAAIABJREFUsD0bT2sCyiRaWcXJUB0VkQBvptopT4y/YEhH3sYMWPRvuKcBz/VQhi4eVwqU4S9zNLyzAYuhFOFwmHg8NnTwUaxaMp/Nm9eNes5kvz73/Ww7XjBCPDT55ZKu1jzVGeBL77xk3M85E2ni5c59wxaPKRwbrXriSOYmIlx7xWUTft65Vqo/P7NBKBSivr5+wOfv+9//Pps2bRrzc9rZ2cm2bdt417veNep58vUpbfL1KV3ytSkNuVxuxITXeQ3w9u/f/13gu+fzmkKIC091WZgv3LyRv/i312nuzaCUwvU0xzqS9Obs4nmmYTCvPEJTZ4qvP7ePllSWiGWOWeikP0P5zdI1Hhrl97jz/DIqA8IUDY7nUtjGpvv+sMzxFWbpz9N+sZdz4ZdHW3j5eOuUC5IopXjxaCuvNraxpV/RltFc2VCLaRij9gScjIbKiQXPYnZqb2+noeHctfEQQogLRaks0RRCiAlZWVfOt3/zMn7w2lH+83ALW482k7X9NgZB0/D31cXChC1/2Z6HpqU3C2i0LqMyOr4VAAHTAK0xlUFvzsbDD+yGC9oUflN1DXiexjIUAXP44iWjWV2XYMP8qrFPnISfv3Fi2qpNGkrxs70nxh3gVZWF2bSgktdOdEzL9cHvrff2lXOnbTxRGp555pkhx37wgx+M67l33nknd95553RPSQghZg0J8IQQs1ZlNMSHr1hJdybPsY5eHM9vHB4LWkOWAaZyTrEwSlN3mljQImCNvWfLMhTRoEVPtq8CpKeHj+76033t8vrOqxmj3UF/nta84xxl7xzXY9eprmkd8/XTHWitx10d810XLeTVpvZx9/gby+KqODcslwBPCCGEKCiZAG///v3PAc/N8DSEECXOcT2e2HeC/zh4hsPtvWTyNnubewhbJlXRIPFQYNj4q3+VRdf1aElmWTDOUv+O5+G4HpGARc5xcTxNYTiNHlBoBSBgGIQsk4zj9+mLBMb3q9b1NDeumsd71i0a++RJONDaQ3cm72clp0lHKs+xjiRLqse3d+765XP59/2n+NWx1im3TFAK/vCqleek9YIQQggxW5VMgCeEEGM52NrD5598nabOFKm8Q0c6R2cmT9p2MZSiPZ0jEc6yrDpOcFAQY/VbJqmUojtrM38cmSfb87BdTcAyUUDIMlGuR97xioVU+vOTfJq8pwlbJtGgNa4m3J7W3LxmPvfdsO6cBSz7mrsGfB6mg2Uodp/uGneAB3DfDWv5Lz/eRktycN3S8XO1x3vXNXDFYmlsLYQQQvQ3fW/jCiHEOXS0Pckn//U1Drb2cKi9lyMdSbqzNlnHL4/uaU3e8WhP5dh9uhPbHdh7Lh4KYPULsrKOR84Zu01AS28WT2sWV5ZhGQZZ2/Wbq/c1Mi8uxez70IAH2I6L1pq5iQhXLq6lobJs2F5tSikunl/J/W9dxyffth5jmgOw/lyPaQ8elVI4E2zkXhEN8eC7LqEuFp5UwRXX07xj1QI+ds3qCT9XCCGEuNBJBk8IMSt84/l9NHWmONqZxPOGNhmHvn1vQNp22dvcxcZ+hUoMpUiEA3SmC60VNI43dnCRzDtEAxZV0XAx2PP6nje4kqamUD3TL7BiGAaNnSk8Dd/9wFW8dKyVbY1tZGy/cXo8FOCWNQtYOoHs11RURgK4np5w0ZfRuJ6mtiw84ectqY7xrd+8jL98di+/Ot427ueVhSzuvGQpt29skKWZQgghxDAkwBNClLw3mrvYfaaT412pYnDVX/8kkFJ+0JXMOTQnM8yJRYqP1cbCdGZyxd5141muaLsedbEQJ3vSZNyhmarBsykk8zSQyTvogMlT+0/zlVvhqiV1XLWkbsxrniuXNdROW3GTgoBlcMnCyVX8rC4L85VbN/MfB04TbDXIO96wBVscz6MqGuKqxbXcuWUp8xLR6Zi6uMClcjavNLVzoLWHZN7B8zSGUkSDpr+MOz92Bl8IIWYjCfCEECXvsT1NtPZmsR0XpRQacDyN7fr74/oHWaqvgqVSilPdZwM8T2uSOZugadKTzWMairTtEgpYIxbF9LRmTixMVTTIvuZusraLB8UM2OBgs3DdAg1kbJczyQwvH2/j8hneL1YRCVJfWUZTV2raxmyoLKMsFJjSGG9bOY9DyRCu1vzXa1bT2LfH0lSKmliIVbXlXN5QQ2gcVU/Fr7dT3Wl+tOMYr5/q4ER3Bsf1hs1Yu54mnepl5eEc6+dV8lsXN7Cs5vxk0oUQ4lyTAE8IUfJae7N0ZuxicJexXdy+lgeFbFnhFk7Tl9HTmlTe4VBbD0opMraL7XrF53ie5nhniubeLOWRIHPjEfrfB/r91eZzrDPJtuNtpPJO8ZoF490vl8zZ/Gxv04wHeABXLq6hcUdyWpY3elrzlsXTl5E0leI3N0gjazFxO0508I87jrLjZAeu6xW/v0dajuwfV5zuyXC6J8O/7z/F+nmV/OaGeq5ZNuc8zlwIIaafFFkRQpS8vOeRtZ0hwR34QVYhyBu8XNLxNKd7MpzqydCTtYt77sIBi9V1CaqiIRxPc6YnzcHWbnKOS8A0uHJJLV+59RL+/Mb1bJxfRUc6hzPCvr+xaO23VPi3A6dI5exJfw6my29vWkJFZPx9+UZTXRbm/ZsWT8tYQkxG3nH52rN7ue9ft7O9qd3fnzvJNy92n+7kL558nc8/+XpJ/KwKIcRkSQZPCFHywpaFRpN39ZAsGpzN4g3H02D2tS7IOi6uoVheHac8EqI8EsL1NMm8Td5xqY2F+M7tV1IXP7tv7/2bGvjML3YMKagyXoZSBAzFme4MLcksS6a4nHGqEpEgd122jG88v29K+/G01tx9+XKiQfnPiJgZe0538pfP7qWxMzVte0sV8PyhM7zZ3M3HrlnNlTO4Z1YIISZLMnhCiJJ3w/I5gBo2i6b1yMEd9LUt0H7FTM/TOI7HqZ4M3Zk8WvsVJcvDQWpjEboyNo/vPTHg+bWxyKSDO91XTVMpRSrvcLC1ZxKjTL/b1i3i5tXzcfXE2hsUeFpz69qF3LxmwTTPTIjxefl4K3/+8x2c6EpPe+EgpRQtySxffGo3T755alrHFkKI80ECPCFEybt59QLiIWvYxuIaXQzARi6W4v+yM5T/R082z8G2Hva39tCWOtts21CKF440D+jNprUmOoniHlprTKWKDdc19GvRMPPue+s6fmNd/dneEuOkFLxvQwP3XnfROZqZuBBorbn77rt5+OGHBxz/3ve+xw033MCmTZu4++67OXnyZPGxlpYWVq1aNeSjo6NjwBg7T3bwxad3k8w55/Q15ByXbzy/j2cPnjmn1xFCiOkmAZ4QouQZhmLjgsohTbELBVX6hyjDLd80VN9evb5gRgOOq8naLk1daU52n60qebwjxfOHzt7QOZ4mHDSJWMa4s3ha++XYw5ZRvGbQNFCqdH7lKqX4+HUX8fl3bGBBeWTMbJ7reSyqKOOLN2/kj69ZLT3oxIhc1+Vzn/scL7zwwoDjP/jBD/ibv/kbPvWpT/HjH/8YrTUf+9jHio8fOnSIRCLB1q1bB3xUVlYWz2lLZvjCv79O+hwHdwW26/FXz+0tmey7EEKMh2yeEELMCrdeVM9/Hm4lbZ+9sdNaT2r5pFIKR+tiz7WWZA5TKeYmopiGYtfpLq5fMQ/we+XNiUXoSucJW4a/D9Dz/OsOCnIK4wUMg1C/4A4gFgpQG5tYcROtNcc7UmxrbON0Txrb04RMg0WVZVzVMD0VOa9eOoerFtfx9IHTPH+4mcauFM29GRxXEzAVc+IR6qvKuGHZXN66Yq4EdmJUTU1N3HfffTQ3N5NIJIrHtdb8/d//Pffccw833ngjAJ/97Ge56667aG5uZs6cORw6dIglS5ZQWzv897bWmq8+u4+udP68fh9mbZevP7+Pb7/v8nFXzhVCiJkkAZ4QYlaoiARYVRvnYFsvGcfF9XSxwXkhr9e/bQIMbaHQX/9soAJaUjlqYxFMw2+pUHxMKdbMKedYZ5K84xExwPMUtucXfOnPMkwCphoa+AFzYmFW1iYYD9fzeGTncZ49eIb9rd2YauCYntb8DW8wx7T5vehJbl49f0o3vIahuGn1fG5aPR/wb2hzjks4YErvOTEhO3bsYOnSpfzd3/0d73vf+4rHDx06REtLC7fcckvxWENDA88+++yAc5YsWTLi2I/vbeKVxrZp33M3Hm+c6eZ7Lx/iD65Ycd6vLYQQE1U664WEEGIUt6xZQG08wuo55cSD1rC/vDQweKGhYmimrf/5Ba7r0ZLMABCyBo5+1ZI6qqKh4vmGYRCyTKIBa8BHcFDWDvxAMhEKcOWSWhZUlI35Ovc3d/FHP97Gd148wOH2Xixj6JiGUhhKcaQ7x1ef2cOfPv4qzT2ZMccer3DApDwSlOBOTNhtt93Gl770JSoqKgYcP378OMFgkKamJt7//vdz9dVX88d//Mc0NzcXzzl8+DDNzc3ccccdXH311Xz0ox/l6NGjgL9U8uFXj8xIcAd+37x/2XWcrhLaRyuEECORAE8IMSvEQgEuq6+ms68nnTmO+zwNoIbP4A0uyqKUojtj42nNoorogHPfv7GBxVUxqqLBIfsAR72+1oSDFosqo9y0av6Y5//ySDOf+NlrHGrrHbFB82CGUrx+spM//snLsk9IlKxUKoXWms985jN89KMf5dvf/ja9vb3cfffdOI6/7Prw4cP09vZy33338a1vfQulFB/60Ifo7u7msT2NtKVmNrjK2i7/tPPYjM5BCCHGQwI8IcSskQgFOdObIZ13yHu6WABytAqaIx3vX3SlIOe6VESDvHvtogHH4+EgVy+tY2F5lJpYeNS2DAVaa8pCAVZUx1laFeemlaMHeHtPd/GVZ/aSzk+ueER7Osenf7GD9n5VQYUoFYFAANu2+cQnPsFb3/pWLr74Yr7+9a9z6NAhXn75ZQCeeeYZfvjDH7JlyxY2btzIN7/5TRzH4cknn+SZg2dmLHtXoJRi65GWCb3JI4QQM0ECPCHErJC1XX7x5gkUym92rhT+/0anNUOrb2qNNUxFS0/D5oXVBIdZmviJ69eyZk4FC8ujrKhJUBEJYig17M1eLGTRUBVjRU2cqrIQn7lpw6jFGRzX4+vPTz64K2jtzfLVZ/bKDagoOXV1fsPwFSvO7mGrqqqisrKy2CohGo0SCp0tRBQKhVi4cCF7Dx9nX3P3+Z3wCE50p3jukLRNEEKUNgnwhBCzwiM7j7LndBdaayJBy383X/l92cZqdO5qcD2Np/3CLIZSBIZZ4xmyDP6/S5cNO07ANPir2zazbl4l0aDJ4qoYa+dWML88Sl0sTG0szJx4mFV1CZbXJKiMBKmNh3nglk0sH6O4yv999QhH2pMT+GwMTynFy41tPHPw9JTHEmI6rVmzhnA4zJ49e4rH2tvb6ezsZNGiRTQ3N7N58+ZiNg8gmUxy7NgxsrHqkrlZMZXB7tNdMz0NIYQYlVTRFELMCo/ubiRtuyilsAArYOJqje162O7QipbD8TSAJjRMpcuAafCWxXXMH6UQSlkowNffs4Uf7TzGc4eaOdjWw5x4ZMA5rqepLgtx1eJa7ty8lJpYeNQ5aa159tD0LT8zlOLnb57ibWMsCRXifCorK+N3fud3+MpXvkJ5eTl1dXV8+ctfZvny5Vx66aWYpsnatWt54IEH+OIXv0goFOIb3/gGdXV1lK3YhDrSOtMvoaixKzX2SUIIMYMkwBNCzAr7mnuGLMc0lcK0TMDDc9wxM3ngL1uwPTA9D8MwMJQiFrKoKwtSFrT41BM7yNoOpqGIhQJcu7SO65ef7f9mmQa/s3kpH7xkCa82tfPsoTMkcw6u1kQDJmvnVnDrRQuxzPHlHLY3tdPYmRp3UZXx2HWyk55snkQ4OG1jCjFVf/qnf0ogEOC+++4jlUpxxRVX8NBDD2Ga/pLov/7rv+arX/0qf/iHf0g2m+XKK6/ku9/9Ln/xwrGZnfggTV2pYs9LIYQoRRLgCSFmhe5sftjjtqexPQ/T8PfDeXrokk0FBE0D0Gj881zt96aLBU060jbHuzJEggFOdKcHPPfZg2f43suHuWbZHH5vy9Li/jylFJfW13Bpfc2UXtfrpzunNbgDv6T8y8fbePs4KncKca4888wzA/5tmib33nsv995777DnV1VV8ZWvfGXI8bbU/nMyv8nqSOXJOR7hgLQREUKUplJZ1i6EECPKO+6IG+1s1ytm9pRSfnXMQecYCiIBk0jAIhowKQtaBEwDrTXHO1N0Z/PUlIWwjKG/Ek1DcbI7zQ+3H+FjP31l2vtgnZ7G/nUFpqE41jn1PX1ClALbGdzdcma5nibnuDM9DSGEGJEEeEKIkmcZBvFwYMhxVzNk752CIUHecBkyx/U40Z3G01AXDzN30F66wQylONDSzb2PvUo6b0/mZQzLds/NzWuuxG6KhbiQyOpMIUQpkwBPCFHyDEOxsi4xIInnak3GdvA8jdv3UaiSWQjyjL4m54MLmLie578Dr2FRRZQFiYGNzUeilOJ4R5IHn94z9snjFBjnXr2JClry611cGAIl9r1smYqgKcszhRClq7R+awohxAhuXj2fsoCJ42nStkvadvEGZe88DZ4eGOyZht/+QAMhyyQWCmCaBuGARSRoURUNDX/BESil2NbYxulBe/Uma94YmcPJcD3N4srYtI8rxEyojU3sZ/Rcq46GZP+dEKKkSYAnhJgVPrBxCdVlYfKuh+vpERuc68JHX+xnKqPYED3n+kGh52msKRQ2cV2PH+08Nunn97duXgWON73LKS1TcdkUi78IUSoWjdK6ZCYsLLH5CCHEYBLgCSFmhaauFI7nETYNv2LmoMeHq8GiAVPpAQe60nlSeYe862EqJlXqXCnFS8da8byxe++N5bL6Guorp/eG8eL5lZRHpEWCuDDUV5Shx9Hn8nyZ7p9XIYSYbhLgCSFmhf/z6hHqYmGqY/7yqEjALFa9HOnWzwA8PTCA8/r6V+VdD9MwRswEjqU1maMnN/ViK0oprl06Z8hy08nytOamVQumZSwhSsFVi2vR+N/bPVmb0z0ZmrrTNHalaOpKcaI7zZneDMm8w7mOAx3PY8O8inN7ESGEmCLpgyeEKHmH23rZdboTpRT1FWWELZOOdB5D+aXK84MqUSrOFlpxtB7QlLhw/6eBnOMv2RxchGU88q5LKu9QMQ2ZsrsuW85Lx1o53pma8libF1Zz06p5Ux5HiFJwqLWHf9nVSHNvlpZkFlfrYd+Z9pdmZ7AMRcjyW6HUxsKEprmIUUNljGuXzZnWMYUQYrpJgCeEKHk/3X28GJkppZgTj1AeDtLYlSJjO0PO798mQWuN7WqCln+kcNzsC+paktkxWyQMxzINwtb0FFoImAYfu3YNn/75DjL25PtrVUaD/NkNaye17FSIUuF5mp+/cZKnD5xi9+kuACwDPM8b8c2Ywps6nqfJ5B3SeYf2VI5YyKI6GqI8Epx0tr5Aa83VS+vk50sIUfIkwBNClLyW5Nnm4jnH5UR3mt6c42fmUBhoPPwbPA1D9sblHBfb81DKrzCJhnDIQgFdmTxz4pEJ3/zFQwESw/Tmm6yNC6r4s7eu5S+f2TupIK8iEuQLN29kTmL6q3IKcb4cbO3ha8/t5c3mngH9K6vLwjQnczjj7Bup8AOy3qxNT9YmHgpQX1lGcAoZvWgwwAc2Lp7084UQ4nyRAE8IUfIKN3Vp2+Foe7LYHFzj98NTqi/I64vrBm/D8fr/RQMKso5LwDTwbBfb9SZ847dlUfW09bDLOS7JnMO6uZU88M6NfGvrfg639Y5r6airPTYuqOYT1190zqr79WZtth1v5VB7L6m8i9aacMBkUXmUKxpqqYuHJashpsTzNN99+RA/3dVIznEHBHfg97KcG4/Q1JWa8JsxCujN2exv6WFuIkxNWXjCY3hac/vGehJSvEgIMQtIgCeEKHnhgEXe9QYEd+C/Q48GpfAbIWjNcO/vayi2VvBvHP0+eTnHxTKMCQd4HvCetYsm/Xq01rzc2M6T+09xvCPJqZ406byLUlAWtFiQiDInHibveLSnc5hKDQigdN/rXJwI8TvXXMRtaxdNe4Blux4/29PEfxw8w5ut3biuHnLT7WmN5g0WVZTxliW1/PamxZRHSqtnmSh9qZzN/f/6GntOdw35HuuvpixEdyZPTzY/4e93Bbiex4muNMmcw+KqifWJXDu3nN/dsmxCzxFCiJkiAZ4QouStqovzyM6jA4K7wbTWI1bT7M/1Cufpvj07Lkc7klRHQ5iGojISHDMzt7o2wcaFVRN4BWe9dqKd77x4gP0t3ZjG2esU+vJlbZfD7b3F17SkKsbF86vw8Au7hC2T+YkoVzTU0HZ0P5vX1U9qHqN5av8pvrvtEGd6MsUb7uFuvAsZxlPdaR7ZcYzH9zTx3g0N/MFlyzGm0GdQ/ProTuf508df5Uh776jBXUF9ZZT9LQ7OJFuUFJZlH27rpW6c70VEgiZ/ev06yVILIWYNCfCEECXvPWsX8cl/fW3IceWn7gC/sflot3zFoiv9jhWaonem8+QcF0MpTvdkiIcCVJcFSYSHFmZIhAP8yfUXTfg1aK351tY3+dneE7ieHhDcjThnpWjqStOWyvO7ly7ljkH7f9qOTngao8o5Lg8+vZsXjrT0y3aOj1KKnOPxg1ePsL2pjU++bf2EsyTi10s6b/OJn23nSHvvuIOngGmyuCrGkY7kpPtQFpZs2rYmHmfU5Zohy+STb13Hkmr5XhZCzB7SB08IUfKeOniaaMAa0uzYwK+GqUdYmtlfIZgbjqc1eccrFmboyeY50p7kUFuPX5SlT3kkwJ/fuIEVtYkJzV9rzZee2s1PdjUOGG+8MrbD3794gO9tOzjh545XKmfz8Udf4YXDzVOqNmgaioOtvdz3s+0caOmetvmJC8/nn9zF4baeCWfGYqEAiytjE3oDYjAFpGyPk93pEc8JB0z+7Ia1XL1U2iIIIWYXyeAJIUresfYkC8ujpG2XvDOwwqRlKKbQWQDo64nneoQDZjG4UUAy57C/pZvVdeVcsqia/3r1SpZWDwzuco7Lz/ed4FB7L2e6M2QdF9MwqIuHqa8o451rFvCT3Y08ffAUppr8e2oKePi1o8wrj3Lz6ultZO56Hp984jX2N3dP2zK09lSOT/9iJ994zxYWnKPiL2L2enxPEy83tk2qByX4mfSl1TEau9Jk886kv2/bUznKwwHiobMVcbXWzC+Pcs+1a7i0vmZS4wohxEySAE8IUfKyjodlGiyr9pdm9b+hC5jGlHrH9ed6HmHLxO0r3GIZiljQYmFFlK/cesmAvXmpnM3fvXiAXx5toSuTH3KjuveMf6P4nZcOcKYnw5x4hMhUuypo+F+/OsgV9TVURKevmMlDvzrIntNdk77ZHkl7KsdXn93LX//GpbJ/SRS1p7J875VDU/5+KwsGWFWb4GR3mo50Dj2JFZtaa052p1lZW46h/J/7t6+cz73XXUQ4MD19LoUQ4nyTAE8IUfJCfYFVyDJZWZOgJZmhK2OTcdwpNy8uZuwUGMpg7dyKvn+fHflEd5qf7jrOHZuWALD1SDPf2rqflt6M36JhpObLStHUmSKVd+jJ2dTFwpPquddfRyrHd146yP1vWzeFUc7ad6aLR3c3TXtwV7DrVCc/2nmMD/R97oT4+vNv0J2eeCXM4RhKsaiijMpIkJZklt6cjefpCY2dzjuc7knzrrULuePiBi5vqJ3yvIQQYibJHjwhRMmrryrD63t73jQU8xJRVtclWFoVozISmPQvsv63gFr7VSp7c/aQm0NDKZ491AzAL944yQNP7aY1mR3zJjJjO6TyDuD3+Trdk6GpMzWuap8jzlkpfnW8lZwzPVnL7796eNTqpFNlKMVPdjWOu0G1uLA1daV4ubFt2jO6sVCApdVx1tSVUxsL+8utlSr+3hhMa7+KbtAyqSkLs7iqjAffuUmCOyHEBUEyeEKIkvfe9fX8aMcxerJ28ZhSiopIEE9rTDOD546vTULx+cMcM1Akcw6J8NBmxm+29vCP24/y/e3jD4jaUvkh12xP5wiYBvMSkQnMdqCuTJ4n9p2gYdIj+M70pNl5smOKo4ytpTfLE/tO8J7109/SQcwuj+w4hut652zJbtAyWdi359PTmt6cTTrv4OpCUKcwFESDFsrOUp7w99TmHI+f7mrkA5dIplkIMftJBk8IUfJClsnlDUOLHbiepiOdw5lAcKcYPrjTgGmAO9JGHq352nN7sZ3xZ6KGy7IpoCWZJT2FfYOGUhztSE36+QX/sqtpQq9nskxD8VxfBlT8+rJdj5eOT3/2biSGUpSHg8xLRFlYHmVRRRkLK6LML49SEQkOWJZsKMVzh8+cl3kJIcS5JgGeEGJW+L1Ll1FddrawSFsqx77mLjrTuXGPMdptpd/3zRjx5vNMb4a2CVwLhg/wwM8knBqlPPt4nOyaeoB3tGP8/cem6lhnckibC/Hr5ck3T9KWzM70NEb0ZksPB1t7ZnoaQggxZRLgCSFmhXmJKJ+5cQPlkQDNvVlOdKX8huFKjbtoyUjhRSF7p7XGHGYwrTVdGXvoA2MYaf8PQDJvk53CPrrMFPfgaa1p6px6kDhe7akcxzqS5+16ovTsb+mZUu+6c80Ath1vm+lpCCHElEmAJ4SYNdbPr+SOixf7lfK0Jue4pB2P6Sg3ErZMDENRM0z7gVTeIeu4E640OdrZWvv78SZrqr+803lnStefKMtQvH6q87xdT5SepmnIOp9LSqmSn6MQQoyHBHhCiFnl2UNnaKiIEjRN8q43apZsOHrQ3zVgKbAMg3goQMAa2vsqmbNBa4LmxH5lWqOcr4CcPfn9b1VlU+uDl3M9HO/8LZlUSpE7D/v9RGnSWnOia2rLks+H85nVFkKIc0UCPCHErPHaiXb2nenijZZuOtM5vL4IzWD0bNlwdN9zDCBkGfJVAAAgAElEQVQcsNBA9QjNw/Ouh2kY1MXCE7pGaJhgceC4k8891leWTfq5AKZSGFPuIjgxlvwX59dWWypHS+r8ZYwn61Rv6QehQggxFvnPrRBiVtBa87db97P7TBcdGRsXP0jz+j4mkovqf244YGIqqIwESYQDw57vafzs3gQzeLGgOWphkcnWHPE0XDHFfl2xkEUsdP465diux6KK2Hm7nigtyZyN55V+BjfneHjnMbMthBDnggR4QoiSl7Vd7vvZdn62t6nYOHyquadCu4Sc44JSLEhERqwoqZSiZhJLIqvLwqMGhRPd01ewui7B+nmVk3pugWkYLKyITmmMiSgLWVy8YGpzFrNX2nYYfzmkmeN5GnsWBKJCCDEaCfCEECUt57h8/NFX2N7UTtp28bQfmE3lPXZD+cGVYSiClp9lO9DWO6CReoGrPa5eUkd8EtkuQykqo8ERs3jBSaxZ9LTmtrULJ/y84SyqmNoyz4lYkIiOuWRVXLjClsn4u1XOHKUUVglX+hRCiPGQAE8IUdK+8OQuDrR0o5Qi7/rvrE/1NtFQipBlUBa0CJkGhlLYrsexjiQ92XzxPE9rbl2ziP/+trW4k7zovESUSHBocKjxb3onQmvN5Q013HLR9AR4N6yYi3seshVaazYtrDrn1xGlqywYOG89F6ciYBqYhtwaCSFmN/ktJoQoWYfbetnW2IpSyt9vp/W0LPIylH8jN3gsT2sau1LkbJfaWJgPX7mCT7x1LSvryllVl5jUtbKOS9gyyTkeadslbbtkbJe866EBZwIB1vzyKPfdsHZS8xjO5fU1LK+d3OuaiKBl8oGNi8/5dUTpqouFqS4LzvQ0xjQvEZnpKQghxJRJgCeEKFk/fv14sRBJoR3CdCzyMg2D2rIw4YAJfcGjxl+eFTRNFlfH+MGdV/PBS5ZC3/G3rpiLO87iCxq/auCB1h72t/TQlcljGuBpv62DqzWe1jT3Zth7ppujHcni3sJhx9OaeYkIX771EqrKJlbJczRKKd65ZsGEW01MhNaaKxfXUj3BCqTiwmIYikXl529J8GQtOo/7UoUQ4lw5fyXUhBBiAvKOy6+Otxb/rbW/tHJaghENGs2qunK01jienxk0DYWhFO2pHL1Zm4p+bRPuuHgxzx9q5kBrz6hD51yPxs4UyZxdLOQCfp+9iOVX6XO1JmRa/l5CrenO5OnJ2lSXhViQiNJ/JZsGrlk2hz+7fi2xEap8TsV719ez9WgLr588N03Ia+Nh/uS6NedkbDG7LKwoY19z90xPY1Tnc1+qEEKcK5LBE0KUpLZUjrZ+fbNMpSZddXIw01BkbNfvg6cUQdMg0LcXD/zCLj/d3TTgOYah+JPrL6JsmP10Bb05mwOtPaT6gruh1zWIBEzml0eJhfzee4UCLFprWpNZDrb14LgeSik2L6rmCzdv5PM3bzwnwR34Wbz7b1hHIjL94ysFH758BfFw6S/NE+fekurYOc0WT5XreWxcIHtFhRCznwR4QoiS1JnJDViPqdTEi5IMRyk/WBvtRlMpxbHO5JDjK2oTfOrt64kOE+Ql8w7HOpK47uh76uYmIiyrjrOyNsHqugTzy6NURkOURwJURAKELT8I/IcPXMVX372Zq5fWTfxFTtCcRITP3Lhh1OB1Mu66bDlvXzV/WscUs9etFy0kETo3b1RMh8XVcS6eL608hBCznwR4QoiSlAgFhpRVr4uHp1xkxTJU3y++0UdqSWaHPX7F4lq++u5LWFodLwaJntY0dqZG3KOntcYyDBZVlDEvcXaPTyRgMSceoaGyjCVVcZZUxamvjJF3PX7w2tHJvLxJu2RhNV+4ZeOobR3GK2AafPSqldy5eek0zU5cCKJBi8sX1870NIaltebapXWzotKnEEKMRQI8IURJqo1FqIwOXNo3Nx6e0jJNBYRMPws4Sv9xAJxRMnFr5lTw97dfzu9ftoxFFWU0dqb8humD+IGdoroszKq6ONXjbJaulOKpA6fY1m8P4vmwcUEV//v9V3HVkrpJBXme1iyvifPXv7GFO6RqphjG+9bXj/XeyowoCwV4v3zPCiEuEFJkRQhRksIBk0vra3j+UHPxmGUYJMIBujJ5v+ol46+qqfCzd6bhV82MjbFUrGyMx03D4HcvXc671izk1v/1DEHTIOd6fmCk/EAybJlURoOTCkq1hh++dpTLG85vxiMRCfLAOzfxn4fP8LO9J9h5sgPX06NmNlytWVWX4Iblc7n94gbpIyZGtHpOOevnVbL71Lkp6jMZhUqvY/3MCyHEbCEBnhCiZP3GukU8e7AZo19ssao2wWsnO7D7+sgVHhot0CtUyIwE/MqVhqGoG6Ns/3ir6f3TzuNEAibRoL/0UmvdVzzF77c3lSVfu093cbC1hxXnoVfdYNcum8u1y+ZyoivF0wdO09iZ4kR3mlTeQWtN2DKZVx6lviLKZfU1bFpYfd7nKGane65Zw3/7yTay9tCs90yoi4e555rVMz0NIYSYNhLgCSFK1ob5VWyYX8HuU53FQCkcMKmNhWhNZrHdsXvjGcqvwBkOWMVAMREOYPb1v+tM50jlnWL7gkIweLIrxeG2XpbVxEed446T7aTzLh2ZHFnbJeu4xb14hqH8TF7AoCIcJBEOTCjgU8CTb56akQCvYGFFGXddtnzGri8uPEuqY9yxsYF/ePnwtFXGnSwNfPSqlZK9E0JcUCTAE0KUtC+8YyP/7acvc7IrRd7VtKQypPMunvYrYo62VSxgGliG3wZB9Ts2Nx7hVE+aznSevOsN2RIUtAx2nuzgI4+8xLq5Fdy5ZSmX1tcMGf/l4608feA0Pdnh2yJ4nibjOWRs6EjniQRM6mJhqqLj24sH0NiVGve5QswWv7tlGa80tvPGDPbF01pz3bI6blg+b8bmIIQQ54JslBBClLTyaJCvvGsT3Vmbfc1dtCVz2H194grB3eDgylJQFrSIBkxC/YI7yzSYE49wrCNJc2/WH2fQczVQF4sUM217znTxqSd28FfP7i0WXnFcj7/+zzf4+KOv0D1CcDeYArK2y/HOFEfbe0ct4tLfya70uM4TYjZRSvHZmzYwLxGZketrrWkoD/HJt62fkesLIcS5JAGeEKKkdafz/MW/vU48ZBEPBci7Hhnb3wdWWN41OInnav8Grv/+vHDAZG48wumeDNm+JueDaa0pDweoGVTt0tOaJ/ad4P5/fY1s3uGTT7zGY7sbi83SJ0IBXZk8B9t7sd2x9yClbWeCVxBidqiLR3jwXZvG3A873bTWLK2Jc8+mOYSmobemEEKUGgnwhBAly3Y9/vvPX+Nwey9NXWl6czYh028E7u+nG6HvHJC2XXKORzwcYEl1jCVVcU73ZnC94TNnWmtioQCLq2LDPm4oxfamNt7xP59me1M7hlLFLJ/WekJtBZRSZPMOR9qTozZcL5wrxIWqvjLG196zhQXl0Sn3XxwPT2vWzKngm79xKdGABHdCiAuT7METQpSsh189whvN3TR2pujM5FGA42myjofWfvBj9ot/dF/mrhDCZRyX7kyeRChAS28Sd4RlkUpBdVmYBeXRUYs+tKfynOhJMy8RwXE1ybxdrCrpj6MwFBgoAqYatV2AUop03uFkd3rUip3lYSn+IC5s88uj/P3tV/D15/by7OGW0TfWTkHAMnj3RQv56JUrscZqhCmEELOYBHhCiJKkteY/jzTTlsoVgzvb08WG4oPjMM/ra08waJxk3uFQWw+OpzENhaUUlqFAGQRMRSIcoLYsTDQ4+q9D23E52Z0ia7scaesdcH7/LJunwUNj2x6m4REwDAIj3EwqpehI56mMBEfsyzfedg1CzGbRoMWnb7qYaw+f4W9/eYCW3sy0Za89rVlWHefj161h3bzKaRlTCCFKmQR4QoiStPVoC0c7knSkc8XMXSG4689fHgke/v62IUVTtB90WX2Blqc1AcukoTJKPBQc102k1poDrT0k845f3KVvPgFDYSiF19f7Dg2as3/3XE3edTEdj6CpCFjmkHXxWmtak9lhAzytNUtGWDIqxIXo2mVz2bKohv/76mG2Hm2lsTOJNUomfDSu1qyoiXPD8rncsXGxZO2EEL82JMATQpSkZw81k8o7xUIm+WGWV2qt8TQDGp4POQc/GDMMCABB08BxPZq6MiyrtgiPsQ/H05qj7b1+FrEvGPQDTo+AYWIZqrhkdLh5KPwbzYyjybselmkQMPz2DQU9OQfbdQmYA+cSDpj85ob6UecnxIUmGrT46FWr+MiVK3nm4Bme3H+Kg209tCVzBAw14psyXt/y7LqyEGvmVPDutQvZsqha9rEKIX7tSIAnhChJyZxNeypXDJDcflUxC0YKqgYrLNu0XQ/LMFFKYbseR9qTrKpLYBrDj6C15nhHks5MHq3UgOto7QeOtuuN2K6hQPXNwdN+iwXX01iGImSZKMDzPDozeepiA0vGX9ZQSyISHOPVCXFhUkrxtpXzeNvKeWitOdaR5OXGdhq7kvRkbRxXo5Sfna+MBllaFePyhhrmxCMS1Akhfq1JgCeEKEmO65F3/KzdcP3qPE8Xl2WOiwYXP+NXiOdyjsOJrhQNIyyDbEvl6MraeIXNfao4FI7nFStgKuUHb6PNpRDk6b4G7bancW2XiGViKEXWHpihjIcD/JcrV4731QlxQVNKsaQ6zpLq+ExPRQghSp4sSBdClKRwwCoGUI43tKreeDJ3g8/XGux+bRKUUnRm8mSH6TVnuy5nerN+hk0PLOpS2Pen+41TCOBGo/D3Cnqen43UWpOxHTw9cAmqpzUf2rKUOTPUBFoIIYQQs5cEeEKIkrSoIgqFgiWDFCpmToTCD9IGV2DXWtOSzA05vyWZxSk2Ij/7JK+vaEthzML/G8b4g7z+52gg67jFVgue1rx77UJ+c0PDeF6WEEIIIcQAEuAJIUrSBzYtJmT5RUcm2xVr+CzfwNGUUqQHZfC01nRn7SH7eHTfY4WjXt/eQNfTeP2yjLrfx0jz6t/U2dWalO1gKMX7Ny7m3usuGtfrE0IIIYQYTAI8IURJqoyG2LSgChim9cEwx4aj8PfbFbJ3Z48OlHPO7qcDSNsuWWfgUk7oW5pJvwButCiu31yHO0UPSuM5rsef37iOP3zLKikQIYQQQohJkwBPCFGyPvm2dQQtNaSp+XgUg8BCY3P8oGq4gpmupwfs8+vN2ah+EZipVLGf3liG68VXmI/ud07h74ZSBE3FgkSU/S09Y19ACCGEEGIUEuAJIUrWZQ213LhifjHAGq9CcKeUwgBClukfUxAYptnx4IAs73gDsmhK+csoJ2K4QK+QSVQKTENRFrSIBkxClklFNMhLx9omdA0hhBBCiMEkwBNClLRvve9yNs6vRI1zJ14huDOUn/kLWn4z8sLHcNk101QE+qX2+u+P8zRkbXfIc8abVFT9PordFpTy59d3TlnIIhKwaOpK0Z3Jj3NkIYQQQoihJMATQpS08miQH/7utSysKMP0ewsAQ/e1nV3y2C+4M41i4Ba2TKLB4Vt/hkxzSMauMGbWcYfs+ZvsDrnC9PsHkBqojoYAf6noy42SxRNCCCHE5EmAJ4QoeQ2VMZ748Fupr4wRCZiETGNIwGX2LXv0s2P+ssxg33JMDcxNRFhRmyBgGQPbFGhNLGQOuJ5l+M/Lu96El2aOpRDkFfrgJUIBqvoCPNNQnOpJT+v1hBBCCPHrRQI8IcSssHpOBb/4yNu4askc5sTDhCzjbP85w9/YZihFyDSIBq1i5k4DtbEw8+IRIpbJipoE8VDgbMbPMKiLhQdcqyzkN1m3Xa8YSBrKDyKno76lBlztETAN6iuiAx7r1+9cCCGEEGLCJMATQswaS6rj/J8PvoX3bmhg44Iq4uEAEcskEjCLBUuCfdk9jV9QZUF5lIXlZ4OooGmwrCZOfWUZkYBJdVmwmLEriIcCxaqalqGIBkwMwyhmB2HyvfkKPA8WVkQIWAOzh0FTWiQIIYQQYvKG35AihBAlqiYW5mvv2cKxjl4+/+Qufr7vJDnXxXb7etlpP7CLBi0qIkHiocCQMRRQFQly5eJaPn7NGl490U5TZ6rYbLymLMTJ7jRtqdzZDB7gUqjMqfH0+Pvx9af7xooGDDK2R0Xk7GO267GytnwSnxUhhBBCCJ8EeEKIWWlxVZw/u2EtrcksvzzaimUAqGJrhLzj0tyboSWZoSwYoC4WojwcBMDTmpW1Cb566yXEw0FWzRkYVOUcl3/eeZz2VK54TClVLPBSuIZGo8cZ6BVbNwDhgIFlmkOqc5aFLC5eUDn5T4oQQgghfu1JgCeEmHW01nznpQM8ursJ2/VYWh3jZE+avO0OrXapIZWzOZq3qYyEWFwV49Y1C/jja1YTHLQ8smD3qU4AqstCtCWzqL5m6bZ3NpBTClRf84ZCoNd3uSH8tg0Us4tB079udtCGu2U1cUIjzEkIIYQQYjwkwBNCzCpaa77477t49tAZjL5+BhWRIIlwgJbeLN1Zm4ztDGpF4Pe587Rmbjw8anAHcLwzWdy/l8zb5GwP0/CLuOhBVTULgR7FBJ8uBnmq789C2wWlINRvj53bL8BzPc1bl82d/CdGCCGEEAIJ8IQQs8zf/nL/gOCuwFCKuYkIcxMRXE/Tm7P9KpgKYkGLkOX3ujvZneaBp3bxhVs2jXiNvvoqGEqxtCrO4bZeco5LwFDkXD3ickx/SsM3UwcIWwZGv4Iu/UPFuYkI7163aKyXL4QQQggxKqmiKYSYNXad6uDxvU1DgrvBTENREQlSGwtTUxYmHLCKjcwNpdh6pIUn3zw54vOjAb9NAvj99JbVxCkLBQgYCnOMaw+mtR8QRiwDc1C1zsKcNPAHly8nYMqvZCGEEEJMjdxNCCFmje+/cgTHnXrjcaUU/7jj2JDllgVbFlUPyK6FLJMVNXHmJSJEA+aIz+tPaw1aEzQNogFzSHAHEDJNPK25ZmkdN66aP9mXI4QQQghRJAGeEGJWONbRy86THdM3XnuSF460DPtYXTw8pPm5Uoq5iSjr51WyoDzal0XUaD30w1AQNE2iAbO4NHQ4QUuxfl4ln75xw7S9LiGEEEL8epMATwgxK/zHwTPTOp5pKF461jrsY0op1swZvh+daSiWVse5aG455eEgkYBJ2PI/IgGTWNAiGrAIDdpvN5iH5uoldfzVbZtlaaYQQgghpo3cVQghZoWmztS0j3mia+Qx333RQtxRlmJWhIOsriunMhrCMg0CpoFlGCNm6wo0YJkGWxbV8L3ffsuo1TyFEEIIISZKAjwhxKzQkc5P+5jt6dyIj21eVM3auRWjPj9gGiyrjrO8Jk55JIhhKLxhztN9H6GAydx4hJW1cT58xYoxg0EhhBBCiImSAE8IMSt44yhsMlj3iz/j9P/+ixEf2/3/f3LE5yql+Pi1a8bVeDweCrCkKsa6uRUsr4kzJxGhuixEVVmImliYRRVR1s6tYHVdOfMSETYtqOb2ixsm/Hq01tx99908/PDDwz7+yCOPsGrVqgHHWltbueeee7j00ku5/PLL+exnP0symZzwtYUQQggxO0iAJ4SYFWKhwKiP5xyP1lSWE91pmrpSnDh8gN5Xn2a4sDDf3Ejv9qcZK4G2ojbBHRsbxh1cGkqRCAWYF4+wqKKM+ooyFpZHqSkLEzQNFJAIB/jEDRdNOHvnui6f+9zneOGFF4Z9/PTp0/yP//E/hhy/55576Orq4uGHH+ahhx5i586dfP7zn5/QtYUQQggxe0iAJ4SYFRZVRIcc0xpakln2t/awr7mLE11p2pJZ2ntTOP/5I/LVi7BdjwOtPbSmsv5SSdeh46mHCc5bijVKEZSC37t0Ge9eu3BSGcTBYiGLT9+0gfrK2ISe19TUxJ133skLL7xAIpEY9pxPf/rTrFmzZsCxZDLJvHnz+MIXvsCqVavYsGEDv/Vbv8Urr7wy6dcghBBCiNImAZ4QYlbYvKga1zsbZCXzDvtbuznZnSaTd1BAIScW3fc8bqyK/MK1AKTzDie60hxs7aHjpZ9jVdQSWb5xXNUrlVLce91F3Lll6aSrXXpaM788ygO3bGLzwuoJP3/Hjh0sXbqUn/zkJ8Tj8SGP//M//zNdXV3cddddA47HYjG+9rWv0dDgLwdtbGzkscce48orr5zU6xBCCCFE6ZMATwgxK1xeX8Oyaj/z1Z7Ocbitl6ztMniho9l5ivDR7SQvuXXAcQXkmhtJ7XkR86r3Egn6fepGU+hrp5TiDy5fwdffs4UVtfFxZ/O01piG4uY1C/hf77+S9fMrx/tyB7jtttv40pe+REXF0KIvp0+f5mtf+xoPPvggpjny6/nIRz7CjTfeSGdnJx//+McnNQ8hhBBClD5rpicghBDjoZTiPevr+dyTOznRlUYPF2R5DvFXHyW1/iZ0OD7iY51Zg7fHIrT02wentebZQ2d4ubGdE50pTvam+wJIRSJssaiijEUVZXz82jW0p/M8se8E+5q76EjlsQxV3FPnaY1CMb88wmX1NdyxsYG5iaHLS8frzJkzPPjgg2zbtg3Lskin02QyGQBefPFFvvWtbwF+EDhYc3MzDzzwAL/61a8wTZObb76Z5uZm7rrrLh577DGCweCk5yWEEEKI0iQBnhBi1rh+WR1p28XzvGGLlET3PY8XSZBbvHHUx8KWSUdvHq01nqd5ePthnj5whsbOJOYw+/Jaky6tyRyvnejg0T1NrJ9bwe0bG3jglk0c6ehlx4kOso6HqaC6LMTlDbVURKYePLmuyx/90R9RWVnJ97//ffL5PB/84Ad57LHH+PCHP8zWrVspKyvjiSeewLIsfvnLX3L//fcXn3/vvfcSi8X4x3/8R7q6urj//vu56qqr+PGPf8wvf/lLbrjhhinPUQghhBClRQI8IcSs8Tdb91MbDdKTscnazpAgL9S4CyObpPqnX/IPaBc8j+qffgnl5tGGRfWjX0IBxz0XtMe6iy+m4tY/JLJo+bDB3WAK2HOmiz3/1sX1y+fwJ9ddxPKNi6f9tQK88cYb7N27l61bt1JbWwtAeXk5Bw8epKenh8OHD5PJZHjnO98J+AEhwKZNm7j//vvZvn0799xzD0uXLsUwDG6//XaeeOIJKioq6OzsPCdzFkIIIcTMkgBPCDEr9GTyvHi0haBlsbwmxtGOFKmcPSDI677u9/2grk/4+C5Cx16j+7q70BiELMWi8gghy6J990vk3thG3e0fJxAvn9Scnj14hoOtvXz13ZuZm4hM9SUOsWDBAh566KFicNdfT08P0WiUj3zkI7zjHe8AYNu2bXzmM5/h0UcfJRaL8eUvf5lvfvObbNq0iRUrVvDUU0+xePFiDhw4wPLly6d9vkIIIcT/Y+++4+wqC/yPf845t86d3tM7lxRIQkKACIREUcRCjeCCroXFVX8oRQHRRRdBWFdFEHbBhq5gF3FdQIqEqkgSQggkXFLJzCSZ3m+/5/n9MckkkzozuVPzfb9e85I55Xmek2Pu5DtPk6GngCciI8LvX3+na06cZeF1HGaU5lHbHqOhM0Eq0zVk0w31XITE9eeAZWHll1Ic9DG2IAfbsmiJJWgxXgKWTasvjzJP/4ZTWpZFTWuUL/95Fd8//2RKQoFsPGq3oqIizjzzzB7HOjo6KC4upry8nIaGBiKRCA8//DCJRIJp06YBdK+aeeutt3LDDTd0r645bdo0ampqWLJkCSeeeGJW2yoiIiLDgwKeiAwLW7du5dZbb+XVV18lFApx/vnn88UvfhGv18uuXbt46LvfZGfkDbBtApNnU3jGBVTm51CeF6S+rpbE3x7B2rkZ43hJTphNcu57CXgdHNtmVkUhjt3V05dKZ6hqjeHdvUZLNJmB0NG1vaYlym1Pr+O7H17Y5w3M++KHP/wh8XicCy64gHfeeYdMJoPH4+HOO++krq6Om2++ucf1mzdvZvHixTiOw6pVq9iyZQsTJ07k5z//+YC1UURERIaWAp6IDLlUKsUVV1zB3Llzefjhh6mrq+P666/H4/Fw1VVX8bnPfY72OJReeBVkUjSv+C1NT/6C0g9/BtuysJ7/FTm+AAWXXIsb76TpyQcp3RSgcMlFsPi9Pera3hIlnc6QmX4K8emnkJPOHKJVvWdZFmuqm/jD69u5eO6koy7vYO69917uvvtubr75Zi677DIA7r//fs466ywAZs6cyT333MPFF1/Mtm3b2LVrFz//+c95/vnnu/fOW7lyJZdffjktLS0H3U9PRERERj7tgyciQ662tpYTTjiBW265hSlTpnDKKadwzjnnsHLlyu6FRsac+wl8ZePwVU6mcMnFxLe+gZuI4sajJHdsIW/ROXhLxuAfN53Q7NOIV0UOqKc1lqRtv3l7mV7uaXcktmXx6zVbSWXcrJS3r9tuu40f/OAHfOMb3+gOd8ABIW3PvLra2lrWrVvHuHHjelwzZ84cAKqrq7PeRhERERkeFPBEZMiNHz+e73//++Tmdm1k/tZbb/H0009z2mmndS804ss9cCEUNxHD8nixvD6i61/GpFNkOtuIbX4dX/mEA65vjCYO2Bg9mwMqGzsT/OmN7VksEe666y4efPBBbr/9dj760Y92H//LX/7ClVde2b0nHsCbb76JbdtMmTKFiooKampqiEaj3ec3btwIwMSJE7PaRhERERk+FPBEZFj5wAc+wHnnnUdBQQGf+MQnuhcaKc7ZuxBKx5oVeArK8OSXYHm8FC37KNG311DzX9ex88dfBQsKl36kR7lp16UtnjqgPk8vtkboLduyeGFLXdbKW79+Pffddx+f+tSnOP3006mvr+/+WrRoEbZtc9NNN7F582ZefvllvvrVr3LRRRdRXl7OsmXLKCgo4Mtf/jIbN27k1Vdf5Wtf+xrve9/7GDduXNbaKCIiIsOLAp6IDCvf/va3+dnPfkYikeDzn/989/EJhSGM61L3+7uIbXqNdGcrjY8/QCbWSap5F76KiXMoEmwAACAASURBVPjHTcfy+knVVVH7y//Aje/tvWqLpTAHGY7p93R9DKZdQ1M0wY62KNWtXV+72mN0JtP0ZRTn1qYOMm7XME1jDFdccQUPPvhgj2vuueceTj/9dE466SRuuummHr1sAA888ABLly5l+fLluK7Lj3/8Y04//fQeXw0NDXzlK1+hubmZ5cuXc80113DmmWd2L7SSm5vL//zP/5DJZLjsssu4+uqrOfnkk7njjjt6/zAiIiIy4miRFREZVmbPng3A7bffzvLly3n77bc57rjjOGFMIb/+1g2kdm4hNPdMQrNPo/mph2j8vx+Rqq/CKSjDycmjbPk1JHdupWXFb2h49CeUX3QVALF05oAVLl0glXF5q66VeCqDoeeQTQPsJIZjW+T6vZSG/OT5vYcd1tkSTbKxvp0ZpbnccsstvPDCC90LoQA8+OCDPPTQQ/znf/4neXl53Hjjjdx2223cdlvX5uwPPfQQd999N9/+9reZOnUq3/rWt2hpaeEPf/jDAXW1t7fzs5/97JBtmThxIvfdd99hWisiIiKjjXrwRGTI1dbW8tRTT/U4NmPGDACam5sBWP37n3SFuznvouis5fjKxlNwxgWkm3dhB/NIN9RQ/N6P4SsbR87MRQAkq9/GTXT1jiX3WfzE7P4+kcrQGk8RT3WtpHmw+XkW4LqGtliSzQ3tbKxvI5Y69MqbHtvixdc3cPnll/PCCy+Qn5/f4/wDDzzAZz/7WU4//XTmzp3Lv//7v/PII4/Q1taGMYb77ruPL37xi5x99tlMmzaNm2++maamJmpra/v4pyoiIiLHIvXgiciQ27JlC1dddRUrVqxgzJgxAKxbtw7btpk2bRp33XUXv/3Nb7AdD3lnXtx9X2DCcRSeeRHNz/yakg9cgRPqClPpxp3d17iJGLY/h65YB66BeDpDxjX4vXafFlmxgGgyzcaGNiryAlTkBg+8xrLY+tZ6pk6dyn//939z4YUXdp+rr6+nurqaRYsWdR+bP38+xhjWrVtHeXk5dXV1vP/97+8+P2nSJFasWNGHVh5eOuOybmcLa3c0sb25k51tMaKpDGnXxWPbBL0OY/KDTCwMMW9sEXPGFuF19LtAERGRkUIBT0SG3MKFCzn++OO54YYb+NrXvkZTUxM333wzl156KXV1ddx3332ccsop1NTUENq5jk3PPUYm1klg8iwKTvsAtj9E51uv4Ckqx03EaFnxG+xQAbbHhye/BAALC9dALJXBNQaPbeHt5wIrrmvY0RojnTGMK8jpcc4Yw4Il7+bCEz91wH17euHKy8u7j3m9XgoLC9m1axexWAyfz0dVVRVf+MIXqKmpYf78+Xzta1+joqKiX23do6qlk9+s2cbL7zRQ3xE77OIyG+vbAPjZSpfS3ACnTSpj+dxJTCrOPao2iIiIyMBTwBORIef1ern//vu57bbbuOyyy3Ach/POO4/rrruOe++9F9d1efnll7survpp932pXdto+euvKbvoKlqef5i6330f2+vDzivCbdhB0Xn/2n2tY1vE0hlcDLZt4fc6R7VFggXUdcTx2BYVeXt78jLGMKey8KD3xONxAHw+X4/jPp+PZDJJZ2cnxhj+7d/+jS9/+cuUlJRw5513csUVV/DHP/4Rj6fvH9nbmjq496W3WFPdhOsaLMvq9cqhHtumJZrk8Q01/OWtGuaNK+Zz7zqOqSX5R75ZREREhoQCnogMCxUVFdx9990HHL/mmmu45ppr+OEPf8h3v/td/vSnPxGsGM+/PfYaW95+i/pf/ycApR/+DABt//gLbS8/SuFZywlOnt1dTmciTSbj4nFsAl4nKxOQLWBXe5y8gI8crwNAYdDPtNK8g17v9/sBSCaTPY4nk0mCwSBer5dUKsWXvvQlli1bBsD3vvc93vWud/HKK6+wePHiXrfNGMMvVm3ht69t654zuP8iM31hDKypbuILD6/kohMn8YlF046qPBERERkYmlghIiPCnmGN06dPZ1JRLj+65DTOPW0+AKm2RgBanvsDbS8/RuHSS8ide2b3vS2xBLF0Br/XIZilcLeHMYaqlk727KQwpTiEc4gessrKSqBrLt4eqVSKlpYWKioqup9xzwIzAMXFxRQVFVFTU9PrNjV2xrnq4Vd44JVNh10Qpj9iqQz/s2ozn//DP6hrjx35BhERERlUCngiMiIsWLAA6Nr8G8DvcfjQuK6hju9bOAfz6hN0rH2O/Hf/E8E57yKVcXFsm4lFIfIDPmZXFlIe8h/VsMxDiSbTtMSSZFzDkumVh7yurKyMcePGsWrVqu5ja9aswbZt5syZw8yZMwkEArzxxhvd5xsbG2lubmbChAm9akt1SydXP7KK9btasA/Tw2aMIZFKU98Rp6Z1795/O1qj1HbEiKXSB903ELo2dI/UtXHtn1axvbmjV+0SERGRwaEhmiIyIkyYMIFzzjmHm266iVtuuYWOlOHrX7+ZqXMXYqfi7HjxMd5/8Ud53wXLSWZccv0eZpTlE7cDfPbhlfgci5IcPy3xVNZDngU0RhNML83jQ7PGH/baj33sY9x9992MHz+eoqIivv71r3PhhReSl9c1rPOyyy7jjjvuoKCggPLycm6//XamT5/OySeffMR21LXHuOHPr7KrPXbQ4ZOuMdR3xGlPdG0NkcwYLMwB1xpjqMHC51j4PA55fg/luUEcu+d1O9ti3Ph/a7jzvIVU5B+4oqiIiIgMPgU8ERkxvvr1W/h/N32dyz/5aVzXJTD1BIpOu5g/PfoXjHF5/He/5PHf/bLHPZd84/tA1/y4/KCP/ICXtlgy6/PHOuIpLpgzAc8RthT4xCc+QXNzM9dffz2u6/Ke97yHm266qfv8ddddh9fr5frrr6ezs5NTTz2VH/3oRziOc9hy0xmXrz72Gjvbogc8WzyVprYjQVs8STrjdp/vymsH/jlYloUFpF1DOpmmM5GioTNBnt9LWW6AkG/vj47a9hg3PbaG+5efesRnFxERkYGngCciw54xhv99s4qfvbKZ1hPez5gTz+1xvmDxBylY/MGe9wBLplXQ2BkHWruPTyzMIZJMk3YPPvywv+3L9XupyAsccO6ZZ57p8b1lWVx77bVce+21By3LcZzuhWX64v6/v82mhrYewzKNMexqj1HfEWfP4/Yn2FqWRcY1tMSStMaTFOf4GVeQ013XlsZ2/utvEb5wxsw+ly0iIiLZNeQBLxwOFwAPAvmAD7g2Eon8fWhbJSLDRcZ1ufWpdTy7aRe2ZfU6oFjAs5t2saWxnbH5OeTs7nXyOg4Ti0Jsa+rEPcQcs74wxuD3ephcHGJjQzvLjjvqIvvszZ0t/Hl9dY9wF02mqWrtJJpIZ7W30hho6IjTkUgzoTCHXL8X27J4dH01Z02r4MSxxVmrS0RERPpuOIynuRb4ayQSWQJ8Arh3aJsjIsOFMYZvPPF6d7jrKwuLzmSGLY0dxJLp7uP5AR8Ti0L9KnP/9gV8DtNLcvE6Ds2x5JFvyjJjDD94cQOptNt9rCWWZFNDO7FkZkC2MrAsi0Q6w6bGdho6EwCkM4Z7XogccmEWERERGRzDIeDdCdy/+789QHwI2yIiw8hDq7fwwpb+hTsAs3vzgrTrsr2ls0f4KAz6mFGWR47P0+9QUhzyEy4rwOfpmh+XjR7BvlpZ1chbtXuHoDZHE7zT3DE4bTFQ3RKlvrPrY/vthjb+tq3+CDeJiIjIQLIG87et4XD408D+E0s+GYlEVobD4UrgceDqSCTy3KHKWL169WRg68C1UkSGg7rOFLev3El8n56pvoqmXba0JnANuK7B51gEHBvbBp9t4XNs8r0W7WlDWzJDMu1CL8JkjseiOOAh5O258MlpY3P5+KzSfre3P+5bW8fa+igAnakMOzpS9P9PrH8soDLHQ77fwwmlQT43r6LPZQRT5wMQ8z6S5daJiIiMalMWLFiwbd8DgzoHLxKJ/AT4yf7Hw+HwCcCvgS8dLtzta86cOfj9/l7Vu3r16u49tGT40fsZvoby3dzx13V4gyG8fbzPAI2dCRqjCaLJDC4WBoNlW6QM+CwLg0XMhWjGpS1tke/3MrU0l4xraE2kSKRcEpk0rukKL45tEfA4+ByHkpCPoPfAj05jDAtnTmfBgmnZePxeWfG3f1Cd9pKXl0c647K9vg3bye5G7r3VlILSwhyqUx4mhmdRltu3bRM2vdq1p+Gsk0bPZ4E+24Y3vZ/hTe9n+NK7GR4SiUSPfXP3NRwWWZkF/A64JBKJrB3q9ojI0EukM7y4biONT/2GRPVGsG0Ck2dTeMYF2IEc0m1NtDz7OxI1m7ADIfJOWkru3CUkMy47nvsTnnXPEAJC+5W7/d1Xkcorxufp6qWzLAtjoDWeoi2RojQUYEJBTr/mraVdl5PGlRz9wx9EIp1hbU0zb+xqpi2eImO6Ohqfe2MXNZ0WBUEfNa1RkumBmXPXGxnXUNUSZWpxiCcjO7lswdQhaYeIiMixbsgDHnA7EADuCofDAK2RSOS8oW2SiAylFzftZOvv78UJ5lJ64VWQSdG84rc0PfkLSs79FA1/vAc7J5+yi7+IG+ug+amHiKcNu8bOIz3tVKxJJ3WXlUq7FP3tQdKhEtxQIWlj8B2kTmO6NgrvTKaZWpzb5z3dynKDhMvzj/LJ92qJJvj1mm2srmmkuiVKZyKNd782bayN0pGx2NrUQSrjYtsWXsfG2b2P3WBrS6Ro6EyyvaVzCGoXERERGAYBT2FORPb30qtrSddXU3bFbTihrtBUuORi6n93J/Ftb5Jub2bMxVd3n/Of+iE6XvoT6coTwePHePYO387d+Hc88Q5q3/XPAIddUMWyLDoTKTY3djCjLK9Pi7ucOqk0Kxt9v13Xyi9Wb2VVVSOJ1N4tDvYPdwBJ14CBVMbF0NWLlnYzOJaFZ3fYG8ygZwN1nTHeaeoYxFpFRERkX0Me8ERE9pcMFlJ63me7A9y+0q0NePJLus9ljKHOW0hurA27swU3VNh9rZWKk7PhOVpnLSPjDWDRtdKlMeaQQxktyyKaTFHV3Mmk4txetdey4OJ5k/r+oPvIuC4//scmHllXRTKd6W7LoRhjSGYgbQzuPs+z5xkTGUPaNQQ8DvYgprxU2mV1VROua7AHs2IREREBFPBEZBjyBEMEJs/qcaxjzQo8BWXYOflkou2YTAbLcahq6STd3gyAnejsEfACm1diPD5S0xZip1x6u2awZVk0xZIUxJIUBg82oHMv1xjOOX4cU4rz+vSM+9ra2M4df32DSF0bTi9Dkdldd9fCnwfesyfoRVNpfI6NLwu9i71hWRZ1HTHi6Uz35vIiIiIyeIbDPngiIj34PT23H2hb9RSxzWspOOui7uDX8vwf6IxGaWuoJ7T+2a4L3czem4xLYMsq4tNPwbZsfB4HQ692QQC6AtLO9tgR98gbX5jD1WfO7F2hB/HGzmau//OrbGpo73W4g67w5rouGffImyIkMi6JTO8D7tFqT6TZsM/efCIiIjJ49OtVERl2xuTvXWK/7R9/oe3lRyk8aznBybMBKPngFTQ/8Qs61r1IoTdA55z34G2qxnj3zr3zNFZjR1uJT5wLgNe2yNg2GeP2eqXJeCpDWzxFwSF68fL8Xm5cdsIBgbS3NtS28G+Pv0ZbPNXney0s0nT15B3paSwgmekKgv5B6MmzLFhV1cCCCQOzqqiIiIgcmgKeiAw7c8cU8YDr0vHCH+l47TkKl15C7omnd58PjJ9BxaduYf3W7aS9QZyORoxl4+bsHZ7p27WRdMkETGDvPDq/x8bC7lUoYvc1TdHEQQNeQdDLze+dy+wxhQfe2AttsSQ3/2Vtv8Id0DWvzhx+nt6+9oQ8CwZ8uKaFxa72+IDWISIiIgengCciw8688cXYrz1Fx9rnKDr7MkKzTuk+l2raRfNff03g3CtJ+nOxAd+OCOmisfv14FWRKpvc4/vCFT/uUY9xfHTMP5e8VY8ctB0tSz5JfEzP/dwyxuXEscVcv3Q24wv332mv97694k0aO+L93rfOsqyu4aZ9GHe5J+R5bHtAF17xOTY7WqMDV4GIiIgckgKeiAw7GzZsYOeLj5F70jICk2aS6WzrPufJLyHT1kj7i4/gTDkFb1M1ORueo+3US3qU4WmtJT5lQff3TlsdmYIKxl18FZZlkcy47GyPk3RtGiqn9+jRy1v5CFYqTrpkAumMS3r3PLdJRbmcO3Mcl8yffFQbij/xVg1/21p31JuS93dOXTydIeh1BmwLBb/HoaY1qpU0RUREhoACnogMO0888QTGuHSs/isdq//a41zFZV+h5ENXUvv0ryneeC+ZUCHtC88nNWbG3ouMi5WMYXx75/I5bfX4SsbgyS0AIAhMzYeU61LXESeWzJBIZ2D7m3jrt9H43s9jOR68tsXM8gI+Mn8yS6dXHnUoS2VcfvrKpqMuB8DGInPkyw6QMYa06+K1B2aopt9rk8y4JDMuAbt/8xNFRESkfxTwRGTYueaaa7jmmmt4cUst33hiLQdbyNJ9/+dojiYOXoBl03jxN7q/NcYQ6GggZ8K0Ay712jbj8nO6ynQz1D7xDL75Z1ExfSoe28J1DZ86ZQaLJpVm49H43ze2U9sW79OKmYdiW2BM7+YT7ssCUhmDdwDynaFr8ZmMa0hlXAJeBTwREZHBpIAnIsPW6VMr+OSi6fz0lU0HjEfsbT4yxpDj8+JtbyDVEKD2odvJxDrxj5tG4ZkX4oQKuq+Nb3wNt7OFopPPxt69EEkaQzCLIeWZjbVZCXcAHtvCMV1bJvRVxhgyxuBkoSdxX0GvQ57fi21beBwNzxQRERls2gdPRIa1yxZM5bOnhQ/oCfI69hHnoLlAXsDH1HwfmY5mTCZN0bv/ieJz/plMezMNf/wvTGbvIMeO118gZ9ap2P6c7mMBr8PUktyDlN5363e1sL6uJStlQdcQTY9tHbSH80i6evGOvIdeXxigMOjrXqlzsDZXFxERkb3001dEhr2L503ingsXMbuysLu3KtfvPWTAM8bg2Bbj83OYVpKLNxBg7L9+m9IPfwZf5SQC42dQ8oErSDXtJFG9EYBMRwvJHZsJHb+oR1nj8nMI+b1ZeY6/bavHzuLSJl6nK+j2txMuk+Wdzx3boiw3AMDY/CDOAM3xExERkUPTEE0RGRGmlORx94WLeK26if99s4pIfRtbGztI7e6BM9A13NACn+Pg99i0J1J0JFP4HIeg16bQa7OnH9AJ5WMHQmQ6u3rU4tvW4+QW4auc1KPebPXeAVS3dGatLACfbZPMdPWWJdJun4OeMabXewIesSygLBToHvI5oaj/W0iIiIhI/yngiciIMm98MfPGFwPw70+s5dH1VTR2JulIpEmmM1gWpIzbY/ihp3Er7gs/Z+d7P0+opJzSkJ9goh031oGnuBKAxM6t+Mf1XITFNYYPzh6ftbZvz3bAcyxM2sXr2KRd0+e5eAbIuAZPFuYEhnweKvP3rlo64Sj2CBQREZH+0/gZERmxThhTSFVLlOZogrTrYtvWQbcfSBdV4gbzyVn5CB07t7Pt7Q3s/POP8U0I46+cDECqYQeekjE97guXF3DS+JKstNV1Dbva4lkpa49cr41lW1iA39P3j3OLrsVWjpZtWUwoDHX3BLoGTpmYnVVHRUREpG/UgyciI44xhv96KcIj66rI9XlJpI+wWIjtoe30ywmtfYKC534GGBJjwrQt/AC5yTQ5Pg9utB07sHdxFduyuOLU6VlrcyKT6d4wPVu8jk2er2soqmNZ+D32kf8sss2CsQXBHiuNzqooYFZl4eC2Q0RERAAFPBEZYYwxfGfFmzy2oQbbshhfmENnMt21SflhuKEi2hdfesDxzY0dTC0JMebTt+y91hjeP3McCydkrxfKdU2/Vrs8kuKQn9ZECpuuPf2MA8ksr455SJbFmPwgpaFA9yHXGJbOqBic+kVEROQAGqIpIiPKL1Zt7g530NXTNqk4F08/l+TPuC5bmzq7F2txjWHu2CKuPnNm1toM4PM42Fna/25fhQEvQc/e3jOfY/druGZfWZbFuIIgFbmBHseLc/ycN2figNcvIiIiB6cePBEZMbY2tvOb197B7Wih+fmHu7Y4sG0Ck2cz6dQPsb0T0h0t5L72GN66rRjHS3L8LDpPOBucQ291kEpnqGqJMbk4xIIJJXzr3Pn9DoyH4rEt8v0emqLJrJZrWRbleQG2N3d2z4Hz2ja21yKRdsm45pCra/ZnBU1D12bm4wtD5Pp6/gjJGJeLTpyIV/vfiYiIDBn9FBaREeOu5zcQS6Ro/L8f4SbjlF54FaUfupJUQw2JFb8iXJ5P0Su/h0ya1qWfpv2U5fh2vk1o3dOHLdeyLDqSKU6bXMZ/fmgBPo9z2Ov7w9q9EMlAKMnxUxDwYvYZA+pYFkGvg293b96hhod6erlXnaHrGcpyA4TLCg4IdwBzxxbz0ZOm9Ln9IiIikj0KeCIyImyobeH1nc2k6qtJ1VVR/N6P4Ssbh69yMoVLLia+9Q3sZBy7/h0KTjmHQNk40uWTiE8+CW/dloOWaQDbtijM8XFcWT7JjHvQVTizZeIA7g03oTAHr9MzmFqA37HJ8Xq6NkSnZ9Cz4Yh75xnA49iUhvwcX17A+IKcg94T8nn48tLZA/rnJyIiIkemIZoiMiI8/Pp2LCyc/BJKz/ssTij/gGsy0TYsrw9n82qmL7mYaGeG5toIbul4gl5P9z5xjm0R8DgEvA4lIX/35tyv1TSxvbmDiUXZ29x8X9NK8nCN6Z4/mE1ex2F8YZB3mjsP6K2zLQh4bAw2qYyLawyu6Qp3+3fsGXb/+ezeLD7k91CaEzhsELRt+JfTZjBee9+JiIgMOQU8ERkR1te2AuAEQziTZ/U417FmBZ6CMrzFlRQt+yjNK35L55t/B2PwVkyk7Jx/wvb6j1iH6xr++vYuPnnKobdHiCbTvFrdyFt1rdS2x7s3VPd7HCrzgswdW8ScMYUHHeb5vuPH8sDKzbTGsjsPb4/CoJ+MC9Wt0R7DNfew6FqEBbqC3Jj8IHl+b3fosy0Lr2MT9Hro9XowlsWnFk3nQ7MnZO05REREpP8U8ERk2GuNJdnZFjvogiBtq54itnktJR/+DACp5l34x00j7+T34sY7aXnuD7Q8+3uKz77siPVYlkV1a/SA4+mMy/++UcUzm3fxdl07iXT6kHPXfrbSJeTzMquygHOOH8u7Z4zpHrbo8zicNrmUv2zY0fuH76OSkB/LgqrWTsxhdkvwOjbluYGj6k10bIvPnHYcF82d1O8yREREJLsU8ERk2Ftd1YjrGpz9upXa/vEX2l5+lMKzlhOcPJt41dt0rFnBmE/fiu0PAmD7AtT//i7yF70PT8GR97XbsU/Ac13DA69s4vG3dtDQEe+u/3ALk3hsm0Q6w5rqJlZtb+Bnr2zmorkTOX/ORCzLYvncSQMa8KBrqwKfY1PdGiWWTB8wL84A+X5vv8OdMYaxBTn8v9OP59TJZVlosYiIiGSLAp6IDHst8eQB4a7luT/Q8dpzFC69hNwTTwcgVbsdJ7+kO9wBeMu79mRLtzX2KuDFUl374W2sb+N7z65nQ20rjm0dUH9vOLbNzrYYdz//Fi9tbeD6pbOYXJzHmdMqeG7TrgFdkCTX7+W4snx2tEZpjCZ6zMvz2BaV+cFD33wYlgXvDY/j6iUz8Q/AaqMiIiJydBTwRGREMMZ0B6LWvz9Kx9rnKDr7MkKzTum+xsktINPWhJtKdM+5SzfuBMBT0LueJsuCP79RxX//LUIi7fYr2O3PtixerWrgM79/mRuXzuFLZ81ifW0LDR2Joy77SPWOLwxRlOOnviNOWzxF2nUZl5/TPRevN4wx+DwOJ08s4YITJnLS+JIBbLWIiIgcDQU8ERn2xhYEybgGj2ORrKuifeUT5J70bgKTZpLpbOu+LjD1BOyX/kzTE/9DwWkfxE3EaFnxG4LT5+HJL+5VXTvbYtz94gbcw8xf6w/LsmiLpbjlqde5cdkc/nXxcXzzyXV93mi8P0I+D6HiXNIZl6DPYWpJHtWtUVqiSTy2deAQTmNIG0Oe38v4whzmjS3m0vmTKco58kI1IiIiMrQU8ERk2Js7tpiA1yHtGmKb1oIxdKx+mo7VPTcwr7jsK5RddBUtzz9M3e++j+31EZh2IgXv+nCv6mmMJuhMpAd0v7p4KsO3n3mDW94/jwtOmMjDa9/BzkIvYW9MKA5x1/knUxIKkHFdNta382p1Iw2dCdKu6drzzrYoCvqYN66YWRUFePrQ0yciIiJDTwFPRIa9oNfD2IIctjd3UrD4gxQs/uBhry/dvaJmXyQzLjUtUcrzAv1tZq9FUxnufG4DP/zIqcRTaR7fUDPgG4RX5AW44wMnURLqej7Htjm+ooDjKwoGtF4REREZXPrVrIiMCPPHFR90b7dsMMD25k4MUJLjG5A69lfV0sndL7zFl5bO5sITJ3HYncSPgmsME4tC3HneydqIXERE5BiggCciI8Kl8yfj9QzMR1ZjZ4L2RIr8gBevMzgrQ9qWxVORnby+o5n/d8bxfOO9J1KRF8hqiLVtiw/NHs/9y0+lop+rZoqIiMjIooAnIiNCeV6QxZPLB6QXrzGawLagPDTwwzP35RrDH17fDsAZ0yr4yaWLeXd4DB7HOqrnzLiGycUh/uODJ3HtWbPxaTsDERGRY4bm4InIiHHtkpm8uauFxs7eby+Qbm+m9fmHSVRvBNsmMHk2hWdcgB3IwU3EqH/6VwS3rSfk9eEuWAYL3rP33rYmWp79HYmaTdiBEHknLSV37pKsPtOqqgZaogkKc/wEvR6++p4T+fSiKL997R1e2lZHbVu8V1s1GGPwemzmjyvm3JnjOWNq+YDP6xMREZHhRwFPREaMvICPzy4Oc/tf15Fxj9zDZVyXxv/7EXYgROmFV0EmRfOK39L05C8o/OCV1D/xCxKtzbQt+RTF6TZaZR0JlAAAHz5JREFUX/odCW+I4hNOxcqkafjjPdg5+ZRd/EXcWAfNTz0EWOTOPTNrzxRPZfjt2ne48rTjuo9V5ufwhTNn8rl3hXl+Sy2RujaqWjqpao7SlkiScg2OZWH5HGZVFjKhKMTEwhBLp1dQnqehmCIiIscyBTwRGVGWzqikJZ7kv1+KHDHkpeqrSdVVMeaK23BC+STSLskFH8B6/D7Wb95K0dZ1NC79DFZBOQ12JcHjFpN67VlqSo8nZ+cGgm1NlF34RXx5XStNFpx+Pq0vPpLVgGdZFpsbOw56zuPYLJsxhmUzxhz0/OrVq1mwYEHW2iIiIiIjn+bgiciIc8EJE/nS0tkUBL2Hnavm5JdQet5nSflDbG5sZ0NdKy2xFAC+7evAG8AqqsS2uz4K06WT8TTvxKSTuK0NpENFRDpc3mnuJOMavGXjyHS0kG5ryurzVLd0ZrU8EREROXYp4InIiPTe8Fh+9JHTOHliKV1bdB/IDoZoLZnC2/VttMdTYAw5G/9OJreYgmAAJ1TQY56aG8jFwmDHO3ADedjxTtx0mqZogrfqWmltqOu6LnbwHrf+2tkaoyWWzGqZIiIicmxSwBOREaskFOA/PrSAH1x4CstmVJIf9JLKuBhjcA1saWxnR1uMTMYFC/I3voR/xwZKl36EkGNwHU+PgGfsrtUmrUyaZOV0AEJr/4KVTpJpb6b9H48D4GbSWX2OlOtS06pePBERETl6moMnIiPe7MpCZlcW4rqGLU3tvLytnp+t3IzPsanIDRDwOtivP0PH2icpPGs5oamzaW/eBfsFNcvNAGA8Xow/RPtpl5C78o8ENq/E+AJ0znkP3qZqGpIwPovtt4DORCaLJYqIiMixSgFPREYN27aYXprPL1dvJeMaJhSGAGh57g90vPYchUsvIffE0wFwcgsh1t7z/ng7xrJx/V33pcqn0PyBa7Fi7Rh/Dk5HI8ayaSSItyNGRW72Vqz0ezWgQkRERI6e/kUhIqPKU5EdPLu5Fnv30MvWvz9Kx9rnKDr7su5wB+AbMwUSUezW2u5jnoZ3SBeOAceL01ZPwbM/hUwKE8wD28G3I0K6aCx4/dS2x4mls9TrZkFpjj87ZYmIiMgxTQFPREaNtliSH/59I3tm1SXrqmhf+QS5J72bwKSZZDrbur+c3AJ8k2eTt+oRnOYd+KrXE3z7b8RmnAZAJlSE3dlMaO0T2J3N+KrWkbPhOaIzzwLAdQ1VzZ2HWN6lb0pCfsYW5GShJBERETnWaYimiIwaD6zcRGNnvHvhlNimtWAMHaufpmP10z2urbjsK5S+72N0PvoLCp/9Ka43QHTWUpITT+i6wPHQtvifyF3zKEVP3ksmVEj7wvNJjZnRXUZnMk1zNEHxUfa+TSgI9VjsRURERKS/FPBEZFRIZ1z+trW+R1AqWPxBChZ/8LD3uWf9E43xg6+KmSkaQ+uyKw55rwU0RZNHH/CKQkd1v4iIiMgeGqIpIqPCYxtqqG2P9/m+fL/vsJulH0lHInVUc/Fc4P3Hj+33/SIiIiL7UsATkVFhTU0Tjt33YY4lIT9ez9F9FLZE+79J+azyAuaMKTqq+kVERET2UMATkVGhuiXar/tsy6IwcHS9eIl+9uC5xvDuGZX9rldERERkfwp4IjLiJdIZalr7F/AAxuTn4Pc4/b4/nnb7dd+sikIuOHFiv+sVERER2Z8CnoiMeM3RJO2J/g+TdGyLsfn936Yg7fY94AW8Dl9aOkurZ4qIiEhWKeCJyIiXyri4R7khXWGOj6Kc3g3VNMaQcV2SGZdk2iWeylDfEaczmcLtxf2uMVw6fwpTSvKOrtEiIiIi+9E2CSIy4nkci36sr3KAiYUh0hmXtnjqgJ61jOuSyhhcDK6hOwhaloXlQnVLJ8ay8NgWfsch4LUpzvGT5/f2KMc1hg/NHs/lC6YcfYNFRERE9qOAJyIjXkHAR47X26+hkvuyLIspJXlsbeqgLdY15DPtGlJuV4/dnmv2/d/d33QFPcB1DTE3TSzVtUdejtdDUdBLaW4AA1xwwgS+cMZMDc0UERGRAaEhmiIy4uX4PIwpCGSlLNuymFqcS2nITzztEk9ncI3pCnCHCGWH6j20gFgqTXVrlK1NHVx4wgS+eKbm3YmIiMjAUcATkVFhQmEoK+UYY6jvSNAST+Hz2Di2zZFm1dmHCWwGyA/4mFAY4rENO7j3hbdIZ46up1FERETkUBTwRGRUmFle0KsFTg7HGENVa5SatigZ1+BYFkGvQ8Dj4OwOcftXYQDPfl14BrBti4Kgj+mleUwvzcPn2KQyLr9//R2u/7/V/d47T0RERORwFPBEZFS48MRJFAR9/b7fGMP2lk4aO+LsG9cswGt3Bb0crwe/x8ZjW9i759x5bAuf4+B1bEJ+D8UhP+MKcphVUciU4twDFlmxLYvXqpu47n9XkVJPnoiIiGSZAp6IjAoBr8Opk0r7ff+OtihN0eRh58fZFvgcm4DHIcfrkOPzMK0kjxPGFDK7spAZpflMLAxRnhs4oFdvX5Zl8ebOFv7t8dd6tS2DiIiISG8p4InIqHH5gqmE/H1fHLgtnqK+I0lflz4JeBxKQ/1b3MW2LP6xrZ7fvfZOv+4XERERORgFPBEZNcYXhvjo/ClkTO+HPrrGUNMahSMupbIfy2J8Yc5R7b9n2xYPvrqFnW3R/hciIiIisg8FPBEZVS6dP5l540p6PfRxR2uUeCrdpzoMUBI6cBPz/uhMpPnus+uPuhwRERERUMATkVHGsixuPWcek0vyjhjyXGNojqX6tC+dAQoCXsYX5BxlS/d6tbqJSF1r1soTERGRY5cCnoiMOrkBL3d+eCHTy/IPG/LqOuKkM73frsAABUEfU0ry+jxf73As4A+vb89iiSIiInKsUsATkVGpIMfHDy5cxDkzxx10I3JjDC196L2zbYsx+UGmFOdmNdzt8Y936on1caioiIiIyP4U8ERk1PJ7HK5fNofbzp3P5OLcHhuhJzNurwKVAUJ+LzPK8qnMCw5IuIOulTyfjuwcoNJFRETkWNH39cRFREaYRZNKOXliCS9sqePxDTWs3dHMrrYYGAP79eCZ3V9e2yIv4KUsFCDkG/iPStuy2NrUMeD1iIiIyOimgCcixwTLsjhzWgVnTqsgkc5w459X80RkJ8mMi2sMFl0hy++xyfV7yfF69s9+A257S+fgVigiIiKjjgKeiBxz/B4Hj2MzJj841E3poaZF++GJiIjI0dEcPBE5JnUkh9+CJsOxTSIiIjKyqAdPRIbEmjVruPTSS3scy8nJYc2aNaRSKW6//XYeffRRAC666CKuu+46HMfJWv0Zt3cboQ+mjGswxvRpXz4RERGRfSngiciQ2LRpE8cddxw//elPu4/Zdteggu9973u8+OKL3H///USjUa6//npyc3P53Oc+l7X6HXv4hSjHthTuRERE5KhoiKaIDIlNmzYxffp0ysrKur9KSkpIJBL86le/4oYbbmDevHksXryY6667jgcffBDXdbNWf44ne72B2ZLjG35tEhERkZFFAU9EhsSmTZuYMmXKAcc3bNhALBZj0aJF3ccWLlxIY2Mj27dvz1r9YwtDWSsrW8bl5wx1E0RERGSE0xBNERkSmzdvxu/38+EPf5jm5mZOPvlkbrzxRmprawkGg+Tl5XVfW1ZWBsCuXbuYPHlyVuqfWJgz7Oa7jS8afqFTRERERhb14InIoOvs7GTnzp0kk0luvfVWvvOd77Bjxw4+/elPE4vF8Pv9Pa73+XwAJJPJrLXh5AmlpM3wWWjFGMMkBTwRERE5SurBE5FBFwqFWLVqFcFgEI+n62Ponnvu4YwzzsDv9x8Q5PZ8Hwxmb9+6ScUhphbnUTVMNhcPeB3eM6NyqJshIiIiI5x68ERkSOTl5XWHO4DS0lIKCwupqqoiGo3S0dHRfa6+vh6AioqKrNVvWRanTy3HDJNevJMnllIQ9B/5QhEREZHDUMATkUG3du1a5s+fT3V1dfexHTt20NTUxLx58wgGg6xevbr73KpVqygtLWXixIlZbccl8yaR4x/6gQyuMXx49vihboaIiIiMAgp4IjLoZs6cSWVlJTfddBNvvfUWr7/+OldffTWLFy9m0aJFXHzxxdxyyy2sXr2av//973z3u9/l4x//eNbbkRfwsXjy0Pfizawo4KTxJUPaBhERERkdhv5X1yJyzPH5fPzoRz/ijjvu4OMf/ziu6/Lud7+bm266CYAvf/nLJBIJrrzySnw+HxdccAH/8i//MiBt+eIZx/P6jibqOxIDUv6R+D0OV585c1it5ikiIiIjlwKeiAyJ8ePHc8899xz0nN/v55vf/Cbf/OY3B7wdIb+Xzyw+jm8+uY7BjlgZ13DBCRM4rrxgkGsWERGR0UpDNEXkmLd0+hjOPm4M7iAO1TTGMLuykE+fMmPQ6hQREZHRTwFPRAS4ftlsTp5YOighzxjDpOJc7vjgfGxbQzNFREQkexTwREQAx7b51rnzOWVSKRl34EKeMYapJXnced5C8gK+AatHREREjk0KeCIiu3kcm2+dexLL503C62T/49EAZ0yr4K4LTqYwR3veiYiISPZpkRURkX3YtsXnTz+eJdMquPO5DWxpbMc+yhUujTGU5vq58rQw7zluTJZaKiIiInIgBTwRGXGMMayubuS1mibeae6kpjVKNJnGAB7bpizkZ0JhiMnFubw3PKZfQyHnjCni/uWn8qs1W3l2Uy2bG9px+jhfzjWGyvwgp08p5+MLp2pIpoiIiAw4BTwRGTFiqTS/fW0bz2+qZXNjxyED1662GOt2tmCM4YGVm1g0sZTz50zgxLHFfarP49h8bOE0Ll8wlX+8U8/jb+1ga2MHNW1RMhlzQP2uMRigIjfA5JJclkyt4H3Hj8WxNRpeREREBocCnoiMCE9FdvCjlzdS3xHHtqxe9aZZlkUsmeG5TbWs2FTLkqkVfOmsWeQGvH2q27IsTp1czqmTywFoiydZVdXIO82dJNMZDOBzHMpz/ZwyqZTSUEAbl4uIiMiQUMATkWEtmkxx+1/f5KWtdVjQ7/lwNvD85l1sqGvhc+8Ks2RaZb/blB/wsWyG5tKJiIjI8KOAJyLDVms0yZf+vJrNDW1Z6RGzLIuGjgTfevoNmqNJzj9hYhZaKSIiIjJ8aGKIiAxL0WQqq+FuX+mMy70vRnhsfXVWyxUREREZagp4IjIs/cczbw5IuNvDNYZ7X4qwtbF9QMoXERERGQoKeCIy7Dz99k5e2FI34AuVxFMZvrNiPcaYAa1HREREZLAo4InIsBJPZfjh399msNagXF/bwi9WbRmk2kREREQGlgKeiAwrv1+7jfqO+KDVZ1sWT0Z2qBdPRERERgUFPBEZNowxPLu5tt9bIfRXdUsnf924c1DrFBERERkICngiMmy8vqOZjfVtg16vY9s8/bYCnoiIiIx8CngiMmysqm7EYw/Nx9K2pg4N0xQREZERTwFPRIaNqubokNW9qz1OQ+fgzf0TERERGQgKeCIybNS0Dl3As4BXtjcOWf0iIiIi2aCAJyLDRjSVHrK6bcuiPZ4asvpFREREskEBT0SGDdcd2jlwrubgiYiIyAingCciw4bXM3QfScYYfENYv4iIiEg26F8zIjJslOcGhqzutGs4vrxgyOoXERERyQYFPBEZNiYUhoas7vyAVwFPRERERjwFPBEZNqYU5w7ZPLjxhTl4HH0kioiIyMimf82IyLBxdngM+QHvoNdrjGHu2OJBr1dEREQk2xTwRGTYCHo9nDKpbNDr9XsdLp0/edDrFREREck2BTwRGVYuOnHioNe5cEIJRTn+Qa9XREREJNsU8ERkWAmXF7DsuErMIM3Fy/V7+NfF4UGpS0RERGSgKeCJyLBz7ZJZVOYHB7we1xj+6aSpjCvIGfC6RERERAaDAp6IDDtBr4cvnDFzQDceN8awcEIpH5k3acDqEBERERlsCngiMiydOrmML54xE+8AbF3gGsOsykJuO3celmVlvXwRERGRoaKAJyLD1jkzx3H9stmE/J6slem6hkUTS/neeQvxeZyslSsiIiIyHGTvX00iIgNg2YwxHFeWz3+uWM/aHY04Vv9/LxXye7j8pKksnzdJPXciIiIyKingiciwN74wxPfPX8jv1r7DYxtqeKepA7uXAc0YQ8DrcPKEUj6z+DjGakEVERERGcUU8ERkRLAsi4/Mm8zyuZN4YUsdT0Z2sK2pg51tMTKuwbG7Ap8xhowxFAR8TCgMceLYQi6dP5mCoPa5ExERkdFPAU9ERhTLsjhzWgVnTqsAoDWW5JXtDbTGk2Rc8DoWsysLmV6ah2NrmrGIiIgcWxTwRGREKwj6ODs8dqibISIiIjIs6NfbIiIiIiIio8SQ9+CFw+EQ8EugCEgC/xyJRGqGtlUiIiIiIiIjz3DowfsXYHUkEjkTeBC4fojbIyIiIiIiMiJZxpihbgPhcNiJRCKZcDh8M+BEIpGvH+ra1atXTwa2DlrjRERkwAVT5wMQ8z4yxC0REREZUaYsWLBg274HBnWIZjgc/jRwzX6HPxmJRFaGw+FngBOAs3tT1pw5c/D7e7fs+erVq1mwYEGf2iqDR+9n+NK7Gd5G0/vZ9KoPgFknjY7ngdH1fkYjvZ/hTe9n+NK7GR4SiQRvvPHGQc8NasCLRCI/AX5yiHPLwuHw8cCjwLTBbJeIiIiIiMhoMORz8MLh8FfC4fDHdn/bAWSGsj0iIiIiIiIj1ZCvogn8FPj57uGbDvDJIW6PiIiIiIjIiDTkAS8SidQC5wx1O0REREREREa6IR+iKSIiIiIiItmhgCciIiIiIjJKKOCJiIiIiIiMEgp4IiIiIiIio4QCnoiIiIiIyCihgCciIiIiIjJKKOCJiIiIiIiMEgp4IiIiIiIio4QCnoiIiIiIyCihgCciIiIiIjJKKOCJiIiIiIiMEgp4IiIiIiIio4RnqBvQDw5AMpns002JRGJAGiPZofczfOndDG+j5f24pgwYPc+zx2h7ntFG72d40/sZvvRuht4+WcjZ/5xljBnc1hyl1atXnw68MNTtEBERERERGWJnLFiw4MV9D4zEHryVwBnATiAzxG0REREREREZbA4whq5s1MOI68ETERERERGRg9MiKyIiIiIiIqOEAp6IiIiIiMgooYAnIiIiIiIySijgiYiIiIiIjBIKeCIiIiIiIqPESNwm4aDC4XAQeBAoB9qBf45EIvX7XfN14ANAGrg6Eom8Eg6H5wE/oGvLhQTw8UgkUjuojR/l+vtu9jl3JxCJRCL3DV6rR79wOGwD/wXMpev/+1dEIpFN+5z/F+AzdL2TWyORyP+Fw+FS4JdAENgBfDISiUQHvfHHgP68n33OXQ1URiKRGwe31ceOfv79mQj8lK6fvRZwZSQSiQx640e5fr6bMXT9nPIBTcDlkUikfdAbfww4ys+2JcCDkUhkwuC2+tjRz78/xcDbwBu7L/tjJBK5a3BbLvsaTT14nwXWRSKRM4D/Ab6278lwOHwSsAQ4BbgUuHf3qbuAqyKRyFnAw8ANg9XgY0i/3k04HC4Lh8OPAx8e3OYeM84HApFI5DTgRuC7e06Ew+FK4AvAu4D3AbeHw2E/cDPwy93vcg1dH/IyMPr8fsLhcDAcDj8EfH4oGnyM6c/fn28C9+z+efMt4PbBbvQxoj/v5gbg5/t8tl0x6K0+dvTn/RAOhycA1wLeQW/xsaU/7+ck4FeRSOSs3V8Kd0NsNAW804G/7P7vx4H3HOT8k5FIxEQike2AJxwOlwGXRiKR13Zf4wHig9LaY0t/300u8A3gF4PV0GNM93uJRCIvAwv3ObcIeCkSiSQikUgrsAk4kSO/S8me/ryfAPBz4LZBbuuxqD/v5zrg0d3X6OfNwOnPu7kGeHB378UEoGVwm3xM6fP7CYfDAeA+4HOD3dhjUH/+/iwAFoTD4efC4fDvdveIyxAakQEvHA5/OhwOv7HvF1AAtO6+pH339/vK3+d89zWRSGTn7jIXA/8PuHNgWz+6ZfndbI1EIv8Y+FYfs/b/c8+Ew2HPIc7teW/7Hj/Yu5Ts6fP7iUQizZFI5MnBauAxrj/vpyESiaTC4XAY+A7w74PT1GNOf96NARy6hpgtBZ4ZjIYeo/rzs+ce4DuRSKRmcJp4TOvP+3kLuDkSiSwBHqFr6pMMoRE5By8SifwE+Mm+x8Lh8MNA3u5v8zjwt29t+5zvcU04HL4E+Crwgf3nhknfZPvdyIDa/8/djkQi6UOc2/NO9hyPofc00PrzfmTw9Ov9hMPhpXTNb/mY5t8NmH69m0gkkgJmhcPh99A1nWDJILT1WNTX95MEzgCm756vXxwOh38diUQuHZTWHnv68/fnH8Ce+fh/BG4Z6EbK4Y3IHrxDeIn/397dx9hVlHEc//5KQ0tVCEjBmmisBs8iWKKBBAnKYsEiaAhBIRFCAAWM8iYaA0i0VkSpJmJKlESCRkzb8GJIMaXy1kIbpKWEFyF1hDalSrtIaW1tQSzp4x8z1x43d4u97Mv13N8nudnbc2bmzLmT3e1zZuZZOLm8/zSwtM35GVVVjSsb3cellDZWVXU2eeauP6W0ZvS621M6GpvR7GCP+s+4VFV1NPDH2rkVwMerqppYVdV+wKHkJ9tvNpY2fDoZHxs9ezw+Jbj7KXBSSmnlaHe4h3QyNj8r4wN5VmLnaHa4x+zp+KxIKVWt/V3AJgd3I6qT3z03A6eXMtOBx0evu9aOImKs+zAsqqqaRN57MoX8tOcLKaWBqqpmA3eUjJkzyf8pHUdeb/8H4GVgHbuefj+UUvrOaPe/yToZm5TSslr9mcCAs2gOr1qmrGnkjH7nkX+oP59SWlAyZV1IHpPrUkp3VlV1MHks3wFsJI/l9jG5gYbrZHxqdc8F+pxFc+R0+P3zFDABGCjNpJSSExUNsw7Hpo+8xyvIwd3FKaVVY3IDDfdWfraV+gMppXeNcrd7RoffP1PJGYIFbCdn3twwJjdgQIMCPDMzMzMzs17XpCWaZmZmZmZmPc0BnpmZmZmZWUM4wDMzMzMzM2sIB3hmZmZmZmYN4QDPzMzMzMysIRzgmZlZ15G0RNLvhjjXLykkHbmb+msl3ThyPTQzM+tODvDMzMzMzMwawgGemZmZmZlZQzjAMzOzniTpbZLmSHpJ0mtlWehHyrlJkrZJunpQncPK8tDp5d8HSfq1pE2l/AJJU2vlZ0paKeknkrZKeqIcnyLpFknrJe0oX2+QNKFW9wBJt0raLOkVSddL+qWkJbUy4yXNkrRO0j/LtaaP8EdnZmZdbPxYd8DMzGwIktTu99Rew9EwsACYBlwNbAAuBpZI+mhErJa0APgccF2t6pml7GJJ+wCLgX2AS4BXgauAhyVNi4jNpc4RwFbgNGCipHHAIiCArwJbgBnAN4HVwJzSv7uB9wOXAf8AZgGHAI/W+vML4Azg28CzwNnAPZL6I+KRt/o5mZnZ/x8HeGZm1q1OBnaMUNufAj4JnBgR9wNIWkQOkr4FnA/MBe6W9IGIWF3qfR64LSJ2SjoHqIDDI+JPpY0HgBfIAd+sUmc88PWIaM3evQfYDFwaEU+XMg9KOgk4DpgDnAAcAxwfEUtKveXAmtYNSOoDzgUuiIiby+FFkqYA15b7MzOzHuMlmmZm1q2WAUe1eX15GNo+njzj9lBZ5th64Hkv0Fri+HvgFXJQh6RpQB8wr9bGc8DztTZeBZbW2mj5c+tNRPwlIvqBZyQdIumUshT0YKC1RLMf+HsruCv11gP1Wbn+8nVh6/qlDwuBYyXtvWcfiZmZNYFn8MzMrFttiYiVgw9KevswtP1OYBLwrzbndgBExA5Jd5ADvB+Sl0KujojltTb6aD/L+Fzt/faI2F4/KemLwPfJQd0GYDnwGqBS5EBgY5t2XwKm1K4P8GL7W+RAYP0Q58zMrKEc4JmZWS/aAvwNOOVNys0DLpL0PnKgN39QG08BX2pT7/WhGpR0HHnv3PeAGyPi5XJ8Ra3Yi8DkNtXrx7aQ9/EdA7zRpmy7ANHMzBrOSzTNzKwXLSMHS9siYmXrBZxFTlTS8jDwV3IClA+ya3lmq42pwNpa/ceBrwGf2c21jyYHZtfWgrt3Ax9m1wzeUmA/SZ9oVZI0GfjYoOsL2HfQPZxQ+tAu6DMzs4bzDJ6ZmTXVEZIub3N8PjlD5WPk/WvfBdaRM2Z+hdoev4gISfPJAdPTEfFsrZ1bgEuB+yT9ANgEXAicDnx2N/16jPyA9QZJtwPvJSd2mUBeNkpELJa0FJgr6UpyFs1rgInAzlLmSUl3Ar+RNBNYRd6Xdw0wOyJ2/i8fkpmZNYsDPDMza6pjy2uwRyNiQNIM4HpgNrAved/ceRHxq0Hl5wLf4L9n74iIrWWG7UfATeQA7Rng1IhYOFSnIuJBSVeQ//zB+eQZwtvIe/kulzQhIl4nB5xzgJ+T9wreRN6nt63W3FnkbJ1XAQeRM3heCfx46I/FzMyaTBEx1n0wMzOzmvLH0o8CfhsRb5RjewFrgdsj4oox7J6ZmXUxz+CZmZl1HwG3AidKmgfsTU7mMpmcoMXMzKwtJ1kxMzPrMhGxBjgV+BBwF3kJ5/5Af0SsGsu+mZlZd/MSTTMzMzMzs4bwDJ6ZmZmZmVlDOMAzMzMzMzNrCAd4ZmZmZmZmDeEAz8zMzMzMrCEc4JmZmZmZmTXEvwGZ7+IrFKgEhQAAAABJRU5ErkJggg==\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Influence plot with statsmodels\n",
"\n",
"fig, ax = plt.subplots(figsize=(15,15))\n",
"fig = sm.graphics.influence_plot(est,ax=ax, criterion=\"cooks\")\n",
"\n",
"# DETECTING HIGH LEVERAGE POINTS:\n",
"# --------------------------------\n",
"\n",
"# In ISL:\n",
"# They say expected leverage = (p + 1) / n, values \"greatly exceeding\" this have high leverage.\n",
"# Hmmm... how much greater exactly is \"greatly exceeding?\"\n",
"\n",
"# In StatsModels docs NOTES for the influence_plot:\n",
"# Row labels for the observations in which the leverage,\n",
"# measured by the diagonal of the hat matrix,\n",
"# is high or the residuals are large, as the combination of large residuals\n",
"# and a high influence value indicates an influence point.\n",
"# The value of large residuals can be controlled using the alpha parameter.\n",
"# ---> Large leverage points are identified as hat_i > 2 * (df_model + 1)/nobs.\n",
"\n",
"# Looks like statsmodels default is to identify high levarage as 2 * (p + 1) / n\n",
"# Looks like we can't control this - the alpha paramater is for setting the\n",
"# threshold on large residuals - not high leverage.\n",
"\n",
"print('expected leverage: {}'.format((2 + 1) / car_dat.index.size))\n",
"\n",
"# plotting a line at 2 * (p + 1) / n to check I have understood.\n",
"plt.axvline(x= (2 * 0.0075), c='y')\n",
"\n",
"# DETECTING OUTLIERS:\n",
"# -------------------\n",
"\n",
"# In ISL:\n",
"# They say studentized Residuals \"greater than 3 in absolute value are possible outliers\"\n",
"\n",
"# In StatsModels docs `alpha` paramater for the influence_plot:\n",
"# The alpha value to identify large studentized residuals.\n",
"# Large means abs(resid_studentized) > t.ppf(1-alpha/2, dof=results.df_resid)\n",
"\n",
"# The defalt value for `alpha` is 0.75.\n",
"# t.ppf(1.-alpha/2, est.df_resid) = 0.3188604894390613\n",
"# From the plot, it looks like this works out at *studentized* residuals greater than 2 in\n",
"# absolute value.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### 11. In this problem we will investigate the t-statistic for the null hypothesis H0 : β = 0 in simple linear regression without an intercept. To begin, we generate a predictor x and a response y as follows:\n",
"```\n",
"set . seed (1)\n",
"x=rnorm(100)\n",
"y=2*x+rnorm(100)\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 182,
"metadata": {},
"outputs": [],
"source": [
"# python equivalent\n",
"np.random.seed(1)\n",
"x = np.random.normal(size=100)\n",
"y = 2 * x + np.random.normal(size=100)\n",
"norm_data = pd.DataFrame(data={'x':x, 'y':y})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### (a) Perform a simple linear regression of y onto x, without an intercept. Report the coefficient estimate β_hat, the standard error of this coefficient estimate, and the t-statistic and p-value associated with the null hypothesis: H0 : β = 0. Comment on these results. You can perform regression without an intercept using the command lm(y∼x+0)\n",
"\n",
"- The coefficeint beta_hat is close to the true paramater=2.0\n",
"- The t-statistic has a small p-value (< 10^-3) - this result is statistically significant."
]
},
{
"cell_type": "code",
"execution_count": 185,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.798\n",
"Model: OLS Adj. R-squared: 0.796\n",
"Method: Least Squares F-statistic: 391.7\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 3.46e-36\n",
"Time: 11:18:00 Log-Likelihood: -135.67\n",
"No. Observations: 100 AIC: 273.3\n",
"Df Residuals: 99 BIC: 275.9\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"x 2.1067 0.106 19.792 0.000 1.896 2.318\n",
"==============================================================================\n",
"Omnibus: 0.880 Durbin-Watson: 2.106\n",
"Prob(Omnibus): 0.644 Jarque-Bera (JB): 0.554\n",
"Skew: -0.172 Prob(JB): 0.758\n",
"Kurtosis: 3.119 Cond. No. 1.00\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
}
],
"source": [
"est = smf.ols(formula='y ~ x -1', data=norm_data).fit()\n",
"print(est.summary())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (b) Now perform a simple linear regression of x onto y without an intercept, and report the coefficient estimate, its standard error, and the corresponding t-statistic and p-values associated with the null hypothesis H0 : β = 0. Comment on these results.\n",
"\n",
"- The coefficeint beta_hat is close to the true paramater=0.5\n",
"- The t-statistic has a small p-value (< 10^-3) - this result is statistically significant."
]
},
{
"cell_type": "code",
"execution_count": 186,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: x R-squared: 0.798\n",
"Model: OLS Adj. R-squared: 0.796\n",
"Method: Least Squares F-statistic: 391.7\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 3.46e-36\n",
"Time: 11:18:54 Log-Likelihood: -49.891\n",
"No. Observations: 100 AIC: 101.8\n",
"Df Residuals: 99 BIC: 104.4\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"y 0.3789 0.019 19.792 0.000 0.341 0.417\n",
"==============================================================================\n",
"Omnibus: 0.476 Durbin-Watson: 2.166\n",
"Prob(Omnibus): 0.788 Jarque-Bera (JB): 0.631\n",
"Skew: 0.115 Prob(JB): 0.729\n",
"Kurtosis: 2.685 Cond. No. 1.00\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
}
],
"source": [
"est = smf.ols(formula='x ~ y -1', data=norm_data).fit()\n",
"print(est.summary())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (c) What is the relationship between the results obtained in (a) and (b)?\n",
"\n",
"- y = b_hat * x + epsilon\n",
"- for (a) y = 2.0 * x + epsilon\n",
"- for (b) x = 0.5 * (y - epsilon)\n",
"\n",
"for example: @ x = 2\n",
"\n",
"*from (a):*\n",
"\n",
"y = 2.1067 * 2 = 4.2134\n",
"\n",
"4.2134 = 2.0 * 2.0 + epsilon\n",
"\n",
"epsilon = 0.2134\n",
"\n",
"*from (b):*\n",
"\n",
"2.0 = 0.5 * (4.2134 - 0.2134)\n",
"\n",
"2.0 = 2.0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (d) For the regression of Y onto X without an intercept, the t- statistic for H0 : β = 0 takes the form βˆ/SE(βˆ), where β_hat is given by (3.38), and where (see picture) (These formulas are slightly different from those given in Sec- tions 3.1.1 and 3.1.2, since here we are performing regression without an intercept.) Show algebraically, and confirm numerically in R, that the t-statistic can be written as (see picture)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[question_11_d.jpg](question_11_d.jpg)"
]
},
{
"cell_type": "code",
"execution_count": 187,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"19.791801987091272\n"
]
}
],
"source": [
"x = norm_data['x']\n",
"y = norm_data['y']\n",
"\n",
"num = np.sqrt(norm_data.index.size - 1) * sum(x * y)\n",
"denom = np.sqrt(sum(x * x) * sum(y * y) - (sum(x * y)) ** 2)\n",
"\n",
"print(num / denom)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (e) Using the results from (d), argue that the t-statistic for the regression of y onto x is the same as the t-statistic for the regression of x onto y.\n",
"\n",
"- let the result from Q11.d be denoted f(x,y)\n",
"- we can see that f(x,y) = f(y,x)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (f) In R, show that when regression is performed with an intercept, the t-statistic for H0 : β1 = 0 is the same for the regression of y onto x as it is for the regression of x onto y."
]
},
{
"cell_type": "code",
"execution_count": 190,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.800\n",
"Model: OLS Adj. R-squared: 0.798\n",
"Method: Least Squares F-statistic: 391.4\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 5.39e-36\n",
"Time: 11:23:12 Log-Likelihood: -134.44\n",
"No. Observations: 100 AIC: 272.9\n",
"Df Residuals: 98 BIC: 278.1\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Intercept 0.1470 0.094 1.564 0.121 -0.039 0.334\n",
"x 2.0954 0.106 19.783 0.000 1.885 2.306\n",
"==============================================================================\n",
"Omnibus: 0.898 Durbin-Watson: 2.157\n",
"Prob(Omnibus): 0.638 Jarque-Bera (JB): 0.561\n",
"Skew: -0.172 Prob(JB): 0.755\n",
"Kurtosis: 3.127 Cond. No. 1.15\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: x R-squared: 0.800\n",
"Model: OLS Adj. R-squared: 0.798\n",
"Method: Least Squares F-statistic: 391.4\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 5.39e-36\n",
"Time: 11:23:12 Log-Likelihood: -49.289\n",
"No. Observations: 100 AIC: 102.6\n",
"Df Residuals: 98 BIC: 107.8\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Intercept -0.0440 0.040 -1.090 0.279 -0.124 0.036\n",
"y 0.3817 0.019 19.783 0.000 0.343 0.420\n",
"==============================================================================\n",
"Omnibus: 0.456 Durbin-Watson: 2.192\n",
"Prob(Omnibus): 0.796 Jarque-Bera (JB): 0.611\n",
"Skew: 0.118 Prob(JB): 0.737\n",
"Kurtosis: 2.698 Cond. No. 2.12\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
}
],
"source": [
"print(smf.ols(formula= 'y ~ x', data=norm_data).fit().summary())\n",
"print(smf.ols(formula= 'x ~ y', data=norm_data).fit().summary())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 12. This problem involves simple linear regression without an intercept.\n",
"##### (a) Recall that the coefficient estimate β_hat for the linear regression of Y onto X without an intercept is given by (3.38). Under what circumstance is the coefficient estimate for the regression of X onto Y the same as the coefficient estimate for the regression of Y onto X?\n",
"\n",
"- The numerator is always the same\n",
"- The coefficients are different when the denominator is different\n",
"- The coefficients are the same when the deonmoinator is the same: i.e: when `sum(x ** 2 ) == sum(y ** 2)`\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (b) Generate an example in R with n = 100 observations in which the coefficient estimate for the regression of X onto Y is different from the coefficient estimate for the regression of Y onto X."
]
},
{
"cell_type": "code",
"execution_count": 192,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: x R-squared: 0.003\n",
"Model: OLS Adj. R-squared: -0.007\n",
"Method: Least Squares F-statistic: 0.2769\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 0.600\n",
"Time: 11:25:05 Log-Likelihood: -142.25\n",
"No. Observations: 100 AIC: 286.5\n",
"Df Residuals: 99 BIC: 289.1\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"y -0.0499 0.095 -0.526 0.600 -0.238 0.138\n",
"==============================================================================\n",
"Omnibus: 0.381 Durbin-Watson: 2.209\n",
"Prob(Omnibus): 0.826 Jarque-Bera (JB): 0.472\n",
"Skew: 0.139 Prob(JB): 0.790\n",
"Kurtosis: 2.812 Cond. No. 1.00\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.003\n",
"Model: OLS Adj. R-squared: -0.007\n",
"Method: Least Squares F-statistic: 0.2769\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 0.600\n",
"Time: 11:25:05 Log-Likelihood: -148.01\n",
"No. Observations: 100 AIC: 298.0\n",
"Df Residuals: 99 BIC: 300.6\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"x -0.0559 0.106 -0.526 0.600 -0.267 0.155\n",
"==============================================================================\n",
"Omnibus: 0.426 Durbin-Watson: 1.977\n",
"Prob(Omnibus): 0.808 Jarque-Bera (JB): 0.121\n",
"Skew: -0.045 Prob(JB): 0.941\n",
"Kurtosis: 3.145 Cond. No. 1.00\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
}
],
"source": [
"x = np.random.randn(100)\n",
"y = np.random.randn(100)\n",
"\n",
"print(smf.ols(formula='x ~ y -1', data={'x': x, 'y':y}).fit().summary())\n",
"print(smf.ols(formula='y ~ x -1', data={'x': x, 'y':y}).fit().summary())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (c) Generate an example in R with n = 100 observations in which the coefficient estimate for the regression of X onto Y is the same as the coefficient estimate for the regression of Y onto X."
]
},
{
"cell_type": "code",
"execution_count": 195,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: x R-squared: 0.243\n",
"Model: OLS Adj. R-squared: 0.235\n",
"Method: Least Squares F-statistic: 31.70\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 1.69e-07\n",
"Time: 11:26:36 Log-Likelihood: -532.84\n",
"No. Observations: 100 AIC: 1068.\n",
"Df Residuals: 99 BIC: 1070.\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"y 0.4925 0.087 5.630 0.000 0.319 0.666\n",
"==============================================================================\n",
"Omnibus: 33.630 Durbin-Watson: 0.001\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 6.002\n",
"Skew: -0.000 Prob(JB): 0.0497\n",
"Kurtosis: 1.800 Cond. No. 1.00\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.243\n",
"Model: OLS Adj. R-squared: 0.235\n",
"Method: Least Squares F-statistic: 31.70\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 1.69e-07\n",
"Time: 11:26:36 Log-Likelihood: -532.84\n",
"No. Observations: 100 AIC: 1068.\n",
"Df Residuals: 99 BIC: 1070.\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"x 0.4925 0.087 5.630 0.000 0.319 0.666\n",
"==============================================================================\n",
"Omnibus: 33.630 Durbin-Watson: 0.001\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 6.002\n",
"Skew: -0.000 Prob(JB): 0.0497\n",
"Kurtosis: 1.800 Cond. No. 1.00\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
}
],
"source": [
"x = np.arange(100)\n",
"y = np.arange(100)[::-1]\n",
"\n",
"print(smf.ols(formula='x ~ y -1', data={'x': x, 'y':y}).fit().summary())\n",
"print(smf.ols(formula='y ~ x -1', data={'x': x, 'y':y}).fit().summary())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 13. In this exercise you will create some simulated data and will fit simple linear regression models to it. Make sure to use set.seed(1) prior to starting part (a) to ensure consistent results.\n",
"\n",
"##### (a) Using the rnorm() function, create a vector, x, containing 100 observations drawn from a N(0,1) distribution. This represents a feature, X."
]
},
{
"cell_type": "code",
"execution_count": 199,
"metadata": {},
"outputs": [],
"source": [
"x = np.random.randn(100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (b) Using the rnorm() function, create a vector, eps, containing 100 observations drawn from a N(0,0.25) distribution i.e. a normal distribution with mean zero and variance 0.25."
]
},
{
"cell_type": "code",
"execution_count": 206,
"metadata": {},
"outputs": [],
"source": [
"eps = np.random.normal(0, 0.25, 100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (c) Using x and eps, generate a vector y according to the model: `Y =−1+0.5X+ε`. "
]
},
{
"cell_type": "code",
"execution_count": 219,
"metadata": {},
"outputs": [],
"source": [
"y = -1 + 0.5 * x + eps"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### ci What is the length of the vector y?"
]
},
{
"cell_type": "code",
"execution_count": 220,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"length of vector y: 11.56529239894809\n"
]
}
],
"source": [
"print('length of vector y: {}'.format(np.linalg.norm(y)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### What are the values of β0 and β1 in this linear model?\n",
"\n",
"- β0 = - 1\n",
"- β1 = 0.5"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Create a scatterplot displaying the relationship between x and y. Comment on what you observe.\n",
"\n",
"- There is a linear relationship with constant variance and positive gradient."
]
},
{
"cell_type": "code",
"execution_count": 222,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 222,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(x=x, y=y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (e) Fit a least squares linear model to predict y using x. Comment on the model obtained. How do βˆ0 and βˆ1 compare to β0 and β1?\n",
"\n",
"- We can reject the null hypothesis: p-value for the t-statistic for the βˆ1 coefficient is < 10^-3.\n",
"- There is a strong relationship; x explains 81.6% of the variance in y (R=0.816).\n",
"- βˆ0 and βˆ1 approximate β0 and β1 closely.\n"
]
},
{
"cell_type": "code",
"execution_count": 226,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.816\n",
"Model: OLS Adj. R-squared: 0.814\n",
"Method: Least Squares F-statistic: 433.9\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 8.97e-38\n",
"Time: 11:46:25 Log-Likelihood: -1.8928\n",
"No. Observations: 100 AIC: 7.786\n",
"Df Residuals: 98 BIC: 13.00\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Intercept -0.9741 0.025 -39.043 0.000 -1.024 -0.925\n",
"x 0.5416 0.026 20.830 0.000 0.490 0.593\n",
"==============================================================================\n",
"Omnibus: 2.160 Durbin-Watson: 2.504\n",
"Prob(Omnibus): 0.340 Jarque-Bera (JB): 1.624\n",
"Skew: -0.162 Prob(JB): 0.444\n",
"Kurtosis: 3.533 Cond. No. 1.07\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
}
],
"source": [
"print(smf.ols(formula='y ~ x',data=pd.DataFrame({'x' : x, 'y' :y})).fit().summary())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (f) Display the least squares line on the scatterplot obtained in (d). Draw the population regression line on the plot, in a different color. Use the legend() command to create an appropriate legend."
]
},
{
"cell_type": "code",
"execution_count": 244,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 244,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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hCJaDIYukrAdJTf+/XhlXbwsh7gKBoM/h9PopdfpJaEXYI3nWY0wG/jJtNJdPHIZe1zJtgOZeg2a9F3ybQYomNm0WmUP+ik5/9KopdQUh7gKBoM/QOINjIEIYpjXP+nmjs7j7jOMYGBfV8h7/bjTbA+D8BABz4hVkZj+M2TKo5wZyBBDiLhAI+gQuX4BDdndEUYfWPev3T2/Is94YLViLVvUE1LwC+NFHTSEj+yliEyb31BCOKELcBYJ+wkrlIG+u28Uem4NhybFcM3kE58iZfb7P9jI4tuZZv2FKLjdMycVibJrbRdMCUPs2WuUjoNqQjENIHTyPAam/ab16Uh9EiLtA0A9YqRxk1ooN4ddFVnv4dU8J/JHos70Mjmv3lPP3z5t61qcMTeH+c8YxLLmlB11z/QfNOgv820GKJSHzQdIG3YpOZ+mW5+1NCHEXCPoBb67bFfH4W+uKekzce7JPTdOwOb1UtuJbL7e7eXp9Gd8eLAofS44O5VmP5FnXfDvQbPeDayUgEZU0k6zsuRhM6V16zt6MEHeBoB+wx+aIfLzS3uf6bGuXaVDVWLIh5Fl3eBs865dOyObWn7X0rGvBKrSqR6HmDSCAMWYaGdlPEh03oUvP2BcQ4i4Q9AOGJcdSZG0pqsOSem57fHf32d4u00ie9dFpCcyePp5xmU0965rmh5o3QsKuViMZh5E29HESki/qV3H1tuhbrnyBQBCRayZHTjM7c/LwPtGnyxdgb6UjorDbPX4eXLmJ3y5YHRb2GJOBa45LZumMaU2EXdM0NOdKtAOnoNnuAVQSs+aRO6GQxJRfHjPCDmLmLhD0C+pj3G+tK2JPpZ1hSXHMnDy8R90y3dFnUFWpcHip9bZ0wmiaxoptJcxb1dSzfu6oTO45M4/yfUUYdA3zU827Fc02C9xfAzqikm8gK/vvGIypnR5jX0aIu0DQTzhHzuxx62N39unw+imzewhqLX3reyodPLhyE9/trQgfG5IYw6xzxnJqThoA5XXHtaA1ZGusXQCoGGPPJCP7caJjx3XqufoLnRZ3WZZ1wIvAeMALXK8oyq5G528AbgICwFxFUZZ38VkFAkE/IKiqlDs82OsWRBvjDQR57budvNrMs379iSO48aSRTTzrEj606udDG5FUOzpTLgOHPE5C8gXHVPilNboyc/8lYFEU5SRZlqcATwIXAciynA78GZgEWIA1six/oSiKt9XWBAJBv8fp9VPm8ETcZbp2Tzl/X7mpSWHqSJ51TdPA+QnDzfeg2UpAl8iAQU8xMPNmJF3LDI/HKpIW4StRR5Bl+SlgnaIoS+pelyiKklX38y+A8xVF+V3d6w+AhxVF+TFSWwUFBdnAnk49iEAg6PWomkaVJ4jD37J0XZUnwIKtNtYebLBWJpj0zDgumVMyY5vMws3STtKNLxCj34Cm6XHxKzBeD9LRLUbdCxiWn5+/t/GBrszc44GaRq+DsiwbFEUJRDhnB9p99/Py8jCbzV14JCgoKCA/P79LbfQGxDh6H/1lLEd6HPX51hOazdbDnvVvWnrW//Kz0SRYTOFrtUBZKA2v/R1Awxh3HlWumUw64VdHbBw9SWd/J16vl8LCwojnuiLutUBjQ6uuTtgjnYsDqrvQl0Ag6OU0zzMz84ThTByUHNHe2FHPuqZ6oOYltKqnQXOgM48hfegTxCedQ0FBwREZV1+lK+K+Fvg5sLQu5r650bl1wEOyLFsAMzAaiPzxIhAI+jzN88zsrKjlr/8u4JZpY8L1SCHkWX9m9TYWr9/TJM/6n08dxRX5w8LWxlBc/QM02xwIHAB9MslZ80jJuB5JEia/jtCVd+kD4GxZlr8l9G3qGlmWbwN2KYrysSzLzwHfENooda+iKJ6uP65AIOiN1OeZ0TSNoKqFF0w/2LSfU3IGtulZv/vMPNIa5VnXPOvRbPeC5wfASOzAW8kYMgu94ZiPqx8WnRZ3RVFU4HfNDm9vdP414LXOti8QCLqX+rBJ4f4y8rY6uzU97x6bA1XT8AdVGns0DtQ42Vvp4O/NPOuDE6O575xxYc86gBYoQbPNBcd7AJjjLyJz2KOYoyLvhBW0jfh+IxAcAzQOm6h0b3peTdPITIhiV0XTPDOqpuH1qfxi/lcNnnWdxPVTcpt41jXVBdXPo1U/B5obvWU86dlPEJd4epee61hHiLtAcAxQHzap9fg55PARtPsxG/TM+7IwLO6dKbxRn2/9wjGDeea/W8PHHV4/pXZPkzzszT3rmqaC4/1QXD1YiqRPI3nwMySnzUSS9C36EhweQtwFgl5Md1U62mNzUOvxU1LjQlU1dDoJbyDIj8VWVioHAZosiG4oruQL5RtSY80cn5XUot/m+dbrF00Xr99DQbGNmkZVk5Kjzfz1jOP4+XGDwp51zfNDqBi1dz1IZuLS/kr6kHvQ61tmlDwaFab6A0LcBYJeSmcrHUUSw2HJsXyhlLa41qzX89a6IjQaAuX1HwJBVWNPZYDiahdfKKXcfvoY7jlzbMTqSEFVY1+Vg3UHrG3mWdf8B9AqZ4PjAwAsib8mM3seJkv2Yb8HyW28dwIh7gJBr6UzlY5aE8OLxw1h+ZbiFtenxJjZU2lvsghqdXoJqhp+tT5OrscbCPLEf7YwPDmO47OSmrTREc+6ptrRqp6Fmn+A5kUflU9m9pPEJJzS6ffg9jHRbd57rCPEXSDopXSm0lFrYrj5YDWTBiezubQat0/FbNCTEmMm3mJkWFIcGlq48IY3EAxbGSXqwiiahicYZOGPu8Pibvf4eXb1Nt5tw7OuaUGwLw7tLg2WIRkySRn8EEkDr0SS2i8n0fZ7IMS9LYS4CwS9lM5UOmpLDOecezyzVmzA6XIRE90gjPXFNepn/GaDHk8glANGr6srgAGYdHq2lVVz6wfr2HKohnKHp0kpvOaedc29NhRX920CKYqEjFmkDboTnT6mR98DQQgh7gJBL+WaySOahFjqaavSUVtiWB/KefrzH6nWpIjFNd5aV4TDG8DhCyChoZOk8KzcYtBR7vBS7qzA6WtI15saY+ahCyaEPeuafw+a7QFwhrJ8Rw24gszshzGaB3Xve+BouYYgaECIu0DQS+lMpaP2PhDOkTNJdgyKmKSqvvDGZ9tLuP3DH9lhtQMalroQTpm96UxdIhSzn5iVzKk5aWjBWrTqJ6H6FcCHIXoKmcOeJDruxB55DwoKhLi3hRB3gaAXc7iVjrpa+u7jwgPc9+kG9DodgxNjqHL5cPsDlDULwcSY9GTERWE26Dlkt6PVvIVW+TCoVnTGIaQOfpjE1Eu7pWjG0agw1R8Q4i4Q9AK608vdGTGsr2X66nc7ws4Zsz604OlXNahbYNXrJNJjLSRYjEiSxNjEjVw/8m00617QxTIg60FSs/6CThfVSk+CI4UQd4HgKNNZP3t34fD6Ka+rjlRc7ULTNCrdPsodHhqnYD9teBqHat3odRIZUSVcnbOA/OT/oSERkzSDjOy5GEwZPf68go4hxF0gOMp0xs/eHdTP1mu9DbtJ4ywG1hdXhd0yEFpInZiVzEu/mcL3RTvwWh/lpKSPMeiCOHUnMmbM80TFTuyx5xR0DiHuAsFRpjN+9q5i94Rm68G6GIzd4+e5b7bx3T5rOCyjk2BgrIWkKBPXTh6KVvMqk3WPQkoVOlMOaUPmEZ98sShG3UsR4i4QHGWOpJc7EFSpcPmJs7uBkIf90+0HmbdqMxWOhjzr6XEWEqNM5CTFcs3YvYwx3o1m3Qm6eJIGPUJK5p/R6bpWElPQswhxFwiOMp3xs3eGWo+PCocXVyDketlX5eDBlZtYuydynnXNtw3Neh+4/wN+HbEpN5A+dA4G48DWuhD0IoS4CwRHma7aF9sjEFQpc3jCG4/8QY1/rFF49bsd4eRfRp3EtVNy+d1JIzHrqlAr7oDaBUAQU+yZZOU8iTk6r1ueR3BkEOIuOGbozalju+rlbm1sNW4fFc4G18u3e8uZtfoApc6GRdTJQ1J4YPo4hiWZoeZltKrHQa1Fb8olLfsJ4gacL+LqfRAh7oJjgqNtN+xJIo3t3k/WU+HwcMKQFAAqHB4e/U8hn2wtCV8XZzYwLCkWl9fHVz+9QdrQt4hiH5IukeTBT5Kc8XsknfGIj0fQPQhxFxwTHC27YU+zUjnIjUu/w+b0hjM9Rpv0VLv9/PXfBaREm1GBPZUO3P6QvVECpg1Po6zWzaCo3cwY/iZ5iYUENR1VpplMHv8YekNSm/0Kej+dEndZlqOARcBAwA7MUBSlotk1HwEpgB9wK4pyXhefVSDoNEfDblhPT4WD6mfsNmfI5eLxBzhQHSDebKTW60dFo9rtb+ZZ15ObYMSglvN7eRGnp69CJ2lsqMxnyb5riYkdw7v5Qtj7A52dud8MbFYUZbYsy5cBs4Bbml2TCxynKIrW4m6B4AhztFLH9mQ4qP7biEmvwxsIhrM32lwhsQ9qAA3CbtbrkJONTE//kF8P+4gYo4cDzsG8u/dattSGNiHpfT3/YSc4MrSfLT8ypwCf1f38KXBW45OyLKcBicC/ZVleI8vyhZ1/RIGg61wzeUTE491tN2xOW+GgrrLH5kDVNBKjTGiEPOtBVSOo1Qt7CINOwqyHs7PW8czkW5gx8j18qpHHN83kvk3PhoUdRJ70/oSkaW1PrGVZvg64tdnhMuCPiqJsk2VZB+xXFGVQo3sGA78FngWSgLXAVEVRyiP1UVBQkA3s6ewgBIKO8H2pg+W7qylx+MiKNXFhTiJTMmJ7tM+Zn+1GjXBcL8Gb03M63e53B+3M/eEgNd4gkgTBIASaXWOQICXKQLplJ7ePX8zElJ34VT2fHDiXhTt/wd5aM9kJTTci/X78wB5/TwQ9wrD8/Py9jQ+0G5ZRFGU+ML/xMVmWlwH1H/FxQHWz2w4BLyuKEgDKZVneAMhARHGvJy8vD7O5a7veCgoKIuaq7muIcXQ/+cAfunB/Z8aSt9UZMRw0IiW+0+/L8i0HeG17CdEWC1VeJ41C6mESLEbyUlxcmbOAn6V9DcB35Sfwr5Lr2FOZQExMNCcOMJIeH9Uj3vojQW/62+oqnR2L1+ulsLAw4rnOxtzXAucD64DzgG+anT8L+BNwvizLsUAesK2TfQkEfZbu3H2qaRo2p5eXv61Ly6tBsNnXArNBx/ABei4fvoILs/6FSeflgGsYr2y/mv3e+vCLC4C7z8rrU2IuODw6K+4vAQtkWV4D+IArAGRZfgx4X1GUT2VZni7L8veACvxNURRrtzyxQNCHOEfOpKDYxivf7qDS5SUp2swZuem8uW4X93+6scPuGY8/yCG7G19QZY/NQandTY3H3+Qak05jxqj1XJmziBSzDUk/kNTBDyKnzUTLKgvvgB0SZ+LW6ROEsPdzOiXuiqK4gN9EOP7XRj//pQvPJRD0C1YqB/lg034GxloYGGuh1uPnnxv3kZUQTbzF2K57RtM0rE4vVW4fQVXjvY172Wm1h7M5QsgVkZ9axB3jFpOXVIRPNbLadjnXnfsien1cuO369gsKCsgXwt7vEZuYBIIepLlbxur0EtQ09lY5Meqk8MajSJupXL4AZXY3flVjy6Fq5nz+E5tLG5a3JCAzxsYtef/kgiE/APC9dSpL98/gL2eeGxZ2wbGJEHeBoAdpvnnK5Q/gDyfr0uMNBCmpcaFrlLulcRENh9fPc6u388763eH8MDoJ0mNULs/5mCtGrMCi97OtOodlJTcQNE3hL2f2rYVRQc8gxF0g6EGab56qF2iJpom4Kl1eLl+4ml0VtaTHR/HLvCE4fAEeaZZnPcGs57LcH/i/nHdJMldR6U3ird1Xsa7ydL69RWwnETQgxF0g6EGau2V0UmjPqEHXaKauadR4fGw7VIOqaewor+XWj/4XTtELMCghmsfO8ZLs/juDonbhDZpYduBSVhy8BJ9qYURK/JEclqAPIMRdcEzT02mAm+dqHxhrIahquP1BvIEgJr0Of1BFr9cTUFWsTi9WpzecSsCok/jLyVFclbMQvXs5RMGa8p/x/oGrqPSlhvvp6Z22gr6HEHfBMctK5SB/XrYOq9OLNxBkl9XOhuJKZkwezqaDVd0m+I2dKvV9uv1BNE1D1cAXVBlgNlJkc4SLZwAMjPbzwcXrSfRYCSVEAAAgAElEQVS9AW4fhqgTyRj2JEMGDCGppoiaPrr5SHBkEOIuOGZ55MvNlNS4wq+9gSD7q53M+7IQeWAozNHYqpjcTf2GRF1Dk0CtE/hyhyd83ihpzBz9LdfL/yTWV4NkGEzqkIcZkHoZX+wobfJNo7PC3psLlwi6ByHugmOWwkPNs2ZAIKgRCIb289d6/OFZ/Y1Lv+POCSl0dbP7a9/vwGLUkxUfRZXbR5mjoUoSwMlpW7lr/BJGJBwgSDQJGbNJG3w7Ol1UiwyTG4or+UL5htRYC8dnDeiwQH9f6mDBzv5ZuETQgBB3wbFLhJx5GhoSErUef5NZvc3l5cWfysnNPdgpAay3N+4st+PyBSmtdeNulBRmaOwh7j5+KdMyNqBqEl8cPJ3Rox7luKENGRsbe+YbP1+Fw3NYAv3vomoi/ev39cIlgqYIcRccs+RlJPK/A7YmxyQkooz68GajQFBDQ0Ov0+H0qy0EsCPhDbvHT7nDQ43HR63Xz74qZ/hcgtHJ78Z8zOUjVmHUBdlcNZr39l/PftcIRjidnDWmoZ3Gnnmrs8Ee6Q02fEh0RKBLHD6iolv+6x+JwiWCI4cQd8Exyz1njW2yoGo26EmMMhFjMrC/2hnebAQhC2OFy8/GksrwsfYKcQSCKmUODw6vn8+2H2ziWTdIAa7MXc0Noz5ggNlBsTOVZwsv4+vSSWQlxBBvaSm2jT3z3kDjIhz68M8dEeisWBOVEfIQi1zu/Qsh7oJjlnPkTJ67ZHLYpjgsKY6xmYms3H6QIpsdVQuJulGvQy9JqJoWrkMKbRfimDwkBavTw95KJw+u3MSaPQ3Zrs8bup1b894lK/oATr+F5wovZcnuc/CroWLUVqeXeIuxhdg29sybDfqwwKfENKTJ7ohA/3x4Igt2tiw72BN2SrFwe/QQ4i44pmluU6wXT6NOh19tOb2NMjYUL9tjczRZdDUb9CRHm9heXk1xtZPXf9jFK9/uCNsb5YSDPDXtY7ItPwA6Vh2azrIDl1PiiMWvNnXtQEuxbeyZd3j9lDu8pMSYibcYw9d0RKCnZMSSm5vb5EOtJ+yUPVliUNA+QtwFgjoaz8SjTQZcvgABNRR3j7YYMAAuf5Apz6xgWHIsbn+gyaKrxx+guCbA0MRYfvnG1+ypDM2OE0125pz4GWemf45EEH3M6WRkP8GanTXYA3biLQDRoQ+JYJCUaAtzz4+ckrf5h1FnBbpxOz1FW99shLj3PELcBYI6Gi9YpsSYKQkE0delCUiJMXOgykFijB5V0yiy2tlb6SSoaeggXMPUr2oo1loAjFKA68b8l5tGf4RJsiMZR5Ay5DGSUn6OJElcM7lhZhtvMYZn4K0Je3OOhEB3heZJ08LHxcLtEUGIu0BQR+MFy5DQhmbTkgSeQJDUaGOTEEhQVTFIEjpJwh0IEggb1jVOz9jInMnLSDYVgy6B+PTHyBj0RySdKXx/89QE/W23afOkaeHjYuH2iCDEXSCoo3mSr/rZ9NzzJ3D/pxuxOxssjKqqYdTr8QQD6DVdWNhHJhzgbxOWcELqVkCPJekmsobOwWhOidhnZ2fffWGhsjtLDAoOHyHuAkEjYkyG8M7VsekDwnVG31y3i01OJ5qmUeX2YXV4cfoChJZKgySba/hz3gdcPGw1eklDH3M26dmPExeX1+3P2FcWKvv7N5PejhB3gYCmgjksKRYAh6+hRuk1k0fw572HsDq9lNaGqiMBmHR+rspdyY2jlxNr9OBiBINzniR14AUd6rMzs++2Firrz/eWGX1vXxfozwhxFwhoWzCn5aQxamACZw+N5/VCW52wa5yT9T9uH/9PBsVU4AzEE5PxMCMH34xOZ4zYVmO6MvtubaFyY4mNWStqO9WmoP+ha/8SgaD/E0kwNU1jR0UNu6y1PP3frby22YovqDImcS8LTpvH0ye/SFpUFctLfsEdG15i8NA/d0jYof3Zd1sMS46NeNzVaIPV4bYp6H90aeYuy/LFwG8URbkiwrkbgJuAADBXUZTlXelLIGiNriwu1t9bZLWjQXhTUFDVCKgq0UZj2LOeaqnilrxlXJS9Fp2k8aN1Mkv2zaTCl3XYlZC6YhNsbaEyyhj531lYD49NOi3usiw/C0wHNkY4lw78GZgEWIA1six/oSiKt/m1AkFX6Ep4o/G9yTFmSmpcFFc7SYuLwqzXccjhocbjx6L38rvRn3PdqBVEG7zsdQxl0Z5rUezjkeoKWx+uA6QrNsHWFirrP6Q606ag/9GVmfu3wIeEZufNmQysrRNzryzLu4BxwI9tNVhYWNiFx2mgoKCgW9o52vTHcXxf6uDfRdWUOHxkxZr4+fBEpmREDjN0hKfWFON0+Vocf/rzH0l2DOrwvTpNI9EkUe0NcrDGSVAL1TY9f/AP3Dbun2REV+JXB1AR+AuK6wxsbgdej5usWBMX5iSyc+dOnvrsxw6P65QBGpv2u1ocnzogtkO/92Tg9jHRQHTogKP0sNrsj39bfZ3uHku74i7L8nXArc0OX6MoynuyLJ/Wym3xQE2j13Ygob2+8vLyMJvN7V3WJgUFBeTnd7WkwtGnP45jpXKwrkiEgahoA5UqLNjpIDc3t9MLftXflBETIX1ttSa1+/7V31sfgrFIQTSvG58aZFxSEXcdv5jjk4tQMaJLvIWq6guZdvLpnArc0qidhm8ArY+rZegol6e7Ob9LPpCb235Kgv74t9XX6exYvF5vq5PidsVdUZT5wPzD7LMWaPxdMA5oWfZGcEzRE7lGuhLeGJoUg1Jeiz+gUu70UOnykR5lY/bE97lw6PcAaDEXkZg5l7QBMvYNLePc0P64WgsdzT1/Au9edWpHhtlhhPVQUE9PuWXWAafKsmyRZTkBGA10T8xF0GfpiVwj10weEfF4WzFwTdOocnk5V86kyuVjl82Ox1vLH4/7gOXn/o0Lh36P3zAO06AVDBu1lMzk0eh1rf+rtDeurjhjBILO0q0+d1mWbwN2KYrysSzLzwHfEPoAuVdRFE/bdwv6O13NNdKWK6aj4Q23P0C53cMum50F/9tNSY2DXwz9llvG/ou0qGqcwRR0A+cwKH0GA6It3TIukUBLcDTokrgrivI18HWj1081+vk14LWutC/oX3Ql10h7rpj2QhH1NUytTg/zf9jFK9/t4LiE7Sw5czF5SXsJaCYC8beRmXknqXHJGPQd/1Lb3rhEAi3B0UDsUBUcMbqSa6Qr8fpqtw+r08N3eyuY8/kmfJ49PDJpKdMH/w8Au/EiUgbNJT0pt4VXvPG3hUTJz22xGS36a29c10we0aKcX0qMWSTQEvQoQtwFR5TOLvh1JrThDQT550/7WLBuF+uLK/EHarlx9HKuzl2JSR+gMjiWlCGPMyL5VBKjTGHPej3Nvy0ccPpa9dC3Na6CYhulte5QiT4JdM36EQh6AiHugj7B4YQ2VFXD5vLyUeEBZn+2kQqHi19mf8Of8paRYqml0peKJXkO2RlXMjA2qtUQTHe4e1YqB3nyq62omobZEOpH1bTDbkcgOFyEuAv6BO3FtevDJ7sq7KTHW8gflMJz32xjVNxP/GPKEuTEA7gDJhYWXcp2z5W8feLZxJjbzgPTHQuhb67bFa6J2hir0ysWVAU9ihB3QZ+grbj2SuUgf/tkPYGgRrXHR+GhagoPrOfBiUs5Myv0gfBZ8c9YduD/cARTMBm0doUdumchdI/NgdmgbyHw3kBQLKgKehQh7oI+Q6S4tqZpvPytgtcfpNzpxeur4pbjPubK3C8x6oIUVIzkjV0zsQVGYdDrMOglcpKbJvlqzWLZHZWEhiXHUu32NSmkDWA26MWCqqBHEeIu6FG+L3XwxMLVPVI84uPCA7z2/Q5W7SwFLcjF2V/zx+M+YIDZwQFHKs9s/g1fH5qMxWBgeIqeWo8fq9OL3evn8oWrwxug2ks8Vv9tYUiciVund6x4dT3XTB5BkXUD9fVYvcEgZr2e208fI+Ltgh5FiLugx1ipHOTFn8qJiQ4lt+qu4hGBoMo/f9rHQ19swub0Mil5E38dv4QRCQdx+C08vfnXvFd0Djp9NIMSzFS6fTi8AaxOLykxZjQNvlBKWb6lmBiTgcQoU5PC19Cw2Nn420JBQQH5h/ncotSc4GghxF3QY3R3Lpn6+qU2p5fnVm9D9e1gzoR3mZaxmaAm8c/dP+P5woup8iZg0EkMTbAQbzGSPzgFDY0iq51aj79JiKTS5cPpCwDRTQS+Oxc7Rb4XwdFAiLugx2juNqkPi2wvrw2HRToqek6vn3KHh1K7mxf++x1nJb/IpZO/wqBT+b58NE/8dBnbqocAoXwXkq7BSz5z8nDu/zRUdsDqjFxSwOr0NhF3sdgp6OsIcRd0K4+s2swr3+6g0uVF1SDWIBETTZMZs9mg73CIxh9UKXd4sHv9vL9xJ8X7X+CWkctIMLnYa0/jpe1X8PXBCQRUjSgD6PU6jDod3mAQb0Bl7vmhGHl9IYvmrpUoox5V0/AGmx4Xi52Cvo4Qd0G38ciqzTz8xebwa1XTsLqDGOt3Z9aREtOQs78+M2Jzt8rZIzOodPmodHnZeqiaj398nd8Mns+v88qo9UXx8var+azkXExGC0HVjgRIkkRGXFR4Bq7XSU1SAMxasaGFLTEjPgoIpSjYUxn6ppGXntgzb5BAcAQR4i7oNl75dkeT13pJwqCTqHb7kCQpnFOlcfhjY4mNWStqw6+LrHb+tnw9h6aNZmxGIot/WMFow+PcOWYrAVXH0t1noSb8lRvOncgJJZX8e0sxpXY3mkaLthuHVupFft6qQn7cb23yLLUef5NFVacv0C0LvwLB0USIu6DbqHS1jGfrpdCM+oIxWRE3BLn8QWLrNhRpmkZA1QgEVd767nvOTX+bGYP/g17S+KZ0LN9U/4Hrpv2cQQnRpMaGap6W2d34AyquQBB/UAUIi3Tz0Er9wuZKpWm1otJaV92ialNEegBBX0aIu6DbSIo2Y4uwYJkcbW51Q1CU0YCmaQTrhF0NePnZwI+YOfIj4oxuimozeWrTZdTqfsbNU2Xk1HhSY82s2nmIPy9bF47jGyQJtz/I/monU4amcveZea0Kc3P3ypRnVkS8TqQHEPRleqoSk+AY5KaTR0Y8fuPJoVqic8+fwIiUePQ6iREp8cw9fwJ5GQn4giq+QJDRMat5+oQ/86fjlhBUdTy0/kpuWDOPsuBUfMEgL67ZzqbSKvQ6HW+u29XE+aLXSZgNOqKNBtLjog5rxj0sOXIha+GYEfRlxMxdcNi0tl3/njPHAvDqtzuxubwkR5u5YGh0+DiAhoamQVBTqXR5OW/UIGqqP2RGzpvkpyr4VT0LdpzDwl2XEG1JJiVWj0En4fQFKHG5uXLRN5w1MoONJZURE3J5g8HDnnF3R5oBgaC3IcRdcFi0VxHpnjPHNhHzgoKCJvfVh2C2ldVQbP2aa3Lf45nJq9BJGl8dPJ5nCi/nlJEnkRxrBQmMeh0Ob4CDte5Qg1KozwqHF50khdPn1mPW6w97xi12kQr6I0LcBRFpbXbe2q7TeasKW61vCiGro6pq+FUVAx7OTfuQy3I+ItrgRakexKM/Xc7gjPN4e+YYkqJM3LW8gANVTiRJahJ+Mev1QMgZU1ov+I1oq8JRWzVYxS5SQX9DiLugBW3NziPlOK/1+NlWVsPotIQW1ycTygWjlNcSCAaZlPQNV+UsJCPahs0Tx2MbL2Oz4wLunz6RCYOSsBj0pMdZ+N3JcriNxuGXeo98vMWITpJIj4ti86EqAMZmDGh1IbW9bxwCQX+jS+Iuy/LFwG8URbkiwrlngVOA+gDoRYqi1HSlP8GRoa2cMJFynFudXswGfct2ftjFjbkW9lY5OCF1D2envkjegJ34ggbmbz+P17dfSGZiOktn/gyTXkdyjJmk6JB4Nw2VOCL62I/PSuLdq07t8piEuAv6I50W9zrxng5sbOWSfGC6oijWzvYhODq0VYFozrnHt1h89AaCZCVENzmmqhpKRQ21g20c2PEQt478BICVxZN4ctNvqAlkkp4Qxe2nH0ec2Uh6nAVTsw+Ixr70ri54dkdVJYGgL9GVmfu3wIfATc1PyLKsA3KBV2VZTgPmK4ryRhf6EhxB2qpAFGnxMcZkCG8Cqt+IZMDN/+UsJ9v0Pmadj61VQ5i38Qq2Vo9hYJyFUwcn8qvxQ7gobzADos0t+mpMdyx4dkdVJYGgLyFpzdwGzZFl+Trg1maHr1EU5UdZlk8DfqcoymXN7okDbgGeAvTAV8C1iqJsitRHQUFBNrCnMwMQdD/flzp48afyFsd/P34gUzJaesK/L3Xwj41lqBqoWpDTMtZw1YilpEZVUeFO4JnNv2b5/pO5MCeJX+UOwGLQEWXQkWQxYGiUvbEnOdwxCQR9jGH5+fl7Gx9od+auKMp8YP5hduQCnlUUxQUgy/J/gPFARHGvJy8vD7O57VlcexQUFJCfn9+lNnoDR2IcrblH8oHc3IMdnimP8vqJT9/POmUFZ6e+wMj4IjxBIy9v/Tnzt59P5oBUpmRbKHL6WbzPy/VTcjkvb0iPjq05hzumSIi/rd5FfxkHdH4sXq+XwsLCiOd6yi0zEnhPluUJhHbBngIs6KG+BJ2gPfdIR6yB3kCQCocHp2sP4w33c8LwjwH4ZP+JPL3pN7jJ4IyhUex2aFS5fOh1Eodq3Tz0xWaijIYjvpDZE3bHtuyVAsHRpFvTD8iyfJssy79QFGUbsBD4Hvgv8LaiKFu6sy9B12jLPdIegaDKoVo3e22HcBx6gMC+yZg8H/OTLYcrVt3LX3/4HSfnTmDFjWdS6Q6g00mY9DqMeh2SJHW4n95O/QdkkdWOqmnhD8iVysGj/WgCQddm7oqifA183ej1U41+fhx4vCvtC3qOzrhHVFWj0uWl0uVGs7+L3/ogBs1KuXsAT2+eyYr9J2IyGJgyZADnjspiQJQJqztAbIwpLOod6aejHO1Zs7BXCnozYhPTMcrhukdqPT6sTi9+52qCFfei8xfiD5h4efsveXPHuXiDZgbGWkiONmH3Bnh29VYGxpoZGm+mUm25aNpVl0pv2JQk7JWC3ozICnmMcs3kERGPN/eOe/xB9lc5Ka3ciq/kSrSDF6HzF/LR3pM5/9N5vLTtIhKiEhiREkdKjBlJkjDoQ2GYd9fv5efDI1c16mpSrq6ElboLkU1S0JsRM/djlPa844GgSoXTQ63Lhlb1BFrNq0j4WW/N5dGNl1FYlUNmfBT/uGAsL6/dgapp6CQw6HXo6kIweyrt3D4mjdzc3G5PytUbZs0im6SgNyPE/RgmkntEVTWq3D5sTida7duolY8gqTZKnSk8vum3rCyehEGn4/opw7n5ZJlok4HlW4s5WOPCoGv6RTDKYODeNcVUa2UMS45lzrnHd1vIpDdsShLZJAW9GSHugjDhuLpjFZp1Fvi34w5YeGXrr3l75zn4VCP5g5J5YPo4clPjAYg26vn9VJnZn/3UrC0/tR4/etVPTLSh22PivWXWLLJJCnorQtwFuP0BKhxe3K5taLb7wbUSVZNYtmcazxdegtWbQGKUidmnH8cvxw5GkiR0EqTGWEiIMrG1rIYYk4HCQ9UAZMVHU+324fQF0Esa6TpjOOFXdzlJxKxZIGgbIe7HMA1x9XK0qseg5g0gQIF1DA+vv5TtNaFdpL8eP5TbThvDgCgTADEmA2mxFgx6XRPXyrCkWGo9fopsdoKahl6S8Ac1SmpcOH0m3P4g28truHzh6m6xLYpZs0DQOkLcj0Ea4uoOtJo30KoeBbWaQ+505q7/DV8dnABI5KbGMXv6eCYOSgZAL0mkxpqJt5jCbTV3rdQX1lA10Nc5IIOqRpndg9mgw2zQi1zqAsERQIj7MUatx0eFw0PA8XkoBOPfiUeN5YXNl7Jo15n4VSNRRj1/PGUUV03KwagPLZLGm42kxprRN1s0be5aqS+s0fiqgKqhEUpQV19sA8RmH4GgJxHifozg9gcot3vwuArRbLPA/TWapuOj/WfzxMYLqfKFFkjPzE3nb2eNJbMuP7tRJzEw1kKM2Rix3eauFbNBjzcQJNpkICXGzKFaJz5VxaDTkZUQ3aTYhtjsIxD0HELc+wid3WrfEFc/hFb5CNQuAFS21k7k7u8uoag2C4CM+ChmnT2WM3IzwvcmWoykxFjQtZGWt7lrJSXGTEmNK1w1Sa+aKHOrLaoogdjsIxD0JELc+wCd2WqvaRqVLh82Zy1azatoVU+Aaqc6MJT71v2K/5TkARIGncSME4bz+6khzzqEZuvp8VFEGdv/82juWpk4KJkZk4ez+WA1eyrtDIkz8X9Tcvhg0/4W94rNPgJBzyHEvQ9wuAmq7B4/5Q43AftyNNsDENhDgATm77iWFzedREAL/drzByVx//TxjKzzrK/ZXc6/txzgYI2LnJS4Dn87aMu1EspTPZb8QcnCtigQHEGEuPcBOrrV3hsIUm734HJuQLPeC561aBj4tvIS7lx9OjX+UC6UWJOBYUmxeP1BXl6rcMm4oRh0Ei+u3R5OHdDdjhZhWxQIjixC3PsA7W21D6oqVqeXakcxWuVcsL8LaBwMnMptq3/OZltq+J6pw1KxOjyodeUV91c5ef6bbSRYjGFhb4xwtAgEfRORFbIP0FoGxxkn5FDp8rLbWkF16aNo+08A+zt4dSN5ZMtszv7g2rCwj0iJY9GVpxBvNoZzwEgSmAyhIhpbymoi9iEcLQJB30TM3PsAkbbaXzphKLkpcVSULUazzYHAATRdMl9Yb+Kur8fgU0MCHmXU84dTZK6eNByjXsejq0L1FvW60GJq8yIazRGOFoGgbyLEvRcTyf74s+Fpobql9h/xFd8Lnh8AI/vUa/jTl6dQVNXwZezM3HTuOWssWXWedYDBA6IprXW3CMGMTR+Aw+dv8QzC0SIQ9E2EuPdSvi91sGBng/1xV0Utd/27gNtPGcCk2JfA8R4AbtN5PLL+1/xrW4OoR/KsQ8i3/odTRnH/pxtb9Hf3WXmASMQlEPQXhLj3Uv5dVA0Y0DQtlIQLNxcP+ohx6ofg8KKZxrKi7Hfc/3Ucnrot/wadxMzJDXnW6zHqJNLioog2GTh3VBY6SWpVxIWYCwT9AyHuvZQShw+TRU9QDTA19RuuGLaQZHMlVb4BlEQ9wK2fD2en1QWEhH3ioCQeaORZr2dAlClc/q4eYUsUCPo/nRJ3WZYTgEVAPGACblMU5btm19wA3AQEgLmKoizv4rMeM3j8QZItBlJitjIz5w1GxO/Cpxp5f98lLNz5C3ZVaYALgMQoE3ecNoaLxw1pEkc/nF2mAoGg/9HZ//zbgFWKojwjy7IMLAYm1p+UZTkd+DMwCbAAa2RZ/kJRFG9XH7g/E84D49jDPce/wNCY/wKwtnwq/9h6GYXWOIJ1/nSAS8YN4Y7TxjAg2tyknQSLkdR2csK0RWfz2AgEgt5DZ8X9aaBeqA2Ap9n5ycDaOjH3yrK8CxgH/NjJ/vo1mhbKr261W1GrnoWafzA0xoudcby47SreV9Jw+YNQlzZ3REooz3r+4OQm7Rh0Eul1sfXO0pk8NgKBoPfRrgrIsnwdcGuzw9coivJj3Qx9EfCXZufjgca7YuxAQnt9FRYWtndJhygoKOiWdo4E7oBKpcdLrPQpqcbXMEqV+LVUij038OrWiSzfY0fVQnF1s17i17kDuCAnEWNNKYU1peF2Yox6kix6qtrxrbfHU2uKcbp8LY4//fmPJDsGdarNvvT7aI/+MhYxjt5Hd4+lXXFXFGU+ML/5cVmWxwJLgDsURflvs9O1QOPdL3FAdXt95eXlYTab27usTUKJqvK71MaRwB9UKXd4cNR8TYr1XvBtBikKEu9irfXX3P/lNmyeht2hp49I596zm3rWITRbT2sj3/rhUv1NGTHRLf8sqjWpU+9rX/l9dIT+MhYxjt5HZ8fi9XpbnRR3dkF1DPBP4FJFUX6KcMk64CFZli2AGRgNdM+0vI+jqhqVLi+VtQqq7QFw1q0zx15KmeF2/r7KytdFDW9VRnwU9541ljNHZrRoq6ux9Ui0l8dGIBD0DTobnH2E0ELps6H1VGoURblIluXbgF2Konwsy/JzwDeE8tfcqyhK87j8MUetx0dFbTl+2xNQ8yrgA8tkAgPmsuCneF5cuz3sWddLMGPyCH4/VSamWQy9sW+9u2lefKMesVNVIOhbdEodFEW5qJXjTzX6+TXgtU4+V7/C4w9SZnfgqXwrVA1JtYJhMFLyA/zPdipz3t1MkbUkfP3EQUlckRPNBScf16KtjlRH6gqR8tg036kq3DQCQe9HmKB7kLC1seqLUN1S3zaQYpGS7qPKdA1PfL2bDzZ/G74+wWLkjtOP45JxQ9i6ZUv4+Jrd5XyweR9ltR6Gp3a8iEZnaWuTk3DTCAR9AyHuPUA4rl6zBdV2P7g+BySIuxIG/I33t/p48qtvqfE0JOpqzbO+Znc5z3+zLZzB8WiL6eFWhRIIBEcHIe7dTCiufgi/7VGomQ8EwDIVKeUhdtZkM3vJT2woqQxfPyIljgemj2dSM886hGLrn24vxqhvmXb/aIlpR6tCCQSCo4sQ924iFFe346l8Ha3yUVCrwDAMKXkOLuN0Xly7gwU/fh3eYRpl1PP7qTIzThgeUbzjTHqGDojlQJUrYn9HS0yFm0Yg6BsIce8igaBKhcNDbdWnobi6fyfo4pCS56DF38CqXVU8/OVXlNa6w/ecMSKdv0XwrEODE8ZuMaDTSb1OTIWbRiDoGwhx7ySqGkoZYKveiGqdBe6vAB3EX4M04G4OOmKY+6+NfF1UFr6nLc86RHbCRBLTWo+f0loXU55ZccTdKh1x0wgEgqOPEPdOUOvxUVFTgt/2CNS+BagQdRpS8lz8hlEsWLeLF9f+0MizLjFj8vCInnUAk15HWpwlYgbH5mIaZTRQ6/Hj9AWAo+NWESmDBYLejxD3w8DlC1Bur54Ct24AAAqDSURBVMVb+TJa1ROg1oIxFyn5QYg+m/8dsDFn5ddNwigTspKYPX08IwfGt2hPIpRvPblZvvXmNBbTyxeuxuFtWQ5PuFUEAkFjhLh3AH9QpdzuxlH9MZrtAfDvBl0iUvIjkHAtVW6VJ1Zs4IPNB8L3NPasN69XCmAx6EmLs2A26A/rWYRbRSAQdAQh7m2gqho2l5eq6oJQXN3zDaCHhBuRBtyFpkvkX5v28+RXW5p41i8eO5g7Tz+uhWcdQrP1lBhzxHMdobctsAoEgt6JEPdWqHH7qKjZT8D2ENgXARpEn4OU/Hck00h2lNcy+/M1HfasA0Qb9aTFRUW0PnYU4VYRCAQdQYh7M1y+AOW11Xgr/4FW9TRoDjCOQkqZixR9Bk5fgBe/2sKCdUVhz7rFoOf3U0cyY/IITBGEWydBaoyFhChTl59PuFUEAkFHEOJehy8QpNzhwVn1LzTbbAjsB10yUvJsiL8aSTKwakcpD325uYln/bThacw6exxZiS096wCxJgMDYy0YujBbb45wqwgEgvY45sU9EFSxubxUV69Ds90Lnu8BIyT8Aen/27v3GLnKMo7j37Ozl1k628tu2bYJ1EIDD9ZtiayNGlsuCiIaLW0kxiJBRAVNjG3TcJMGm9BUAgJVwShuBQUsqRRDNCgECMql2KyhsGoeLYFyKY1sL3vp7s7szo5/zO4ybPfCzE57ds7+PkmTmXNmzjxvu/3l3XOeec+s9QSxGbzd1sWmJ5p5es/+offNm17NDecv5jOnzR2x06W8LKA+ESdRpJtoiIjkY8qG++CXkA52vEa69Wbo3JbdMe0LBHUbCSpOpTfdz707/8vPn3O6e3N61pcu5LvLRu5Zh2NzEw0RkXxMyXBv607R2nmIvoM/JXP4J5DpgsoGgtmbCKqXA2R71v+ymz3DetZvunAJVj/y7WCP5U00RETyMaVSKPslpC6SbdvJHNgI6X0Qqyeo3Qw1qwmCGIe6ktz29L/Y8cobQ+8br2cdjv1NNERE8jElwj3Vl6b1SJKO9ufJtP4Aks0QVMHMtQSz1hCU1dCfyfDw7r3cNqxnfdXi+aw/7+h11gdVlAXMnV494tIBIiJhiXQiDX0Jqf1V+g9uhM4dALx0+Gya/nMpVdULWLWkm/pEho2P7+Yfb73Xs75wdg0/HKNnHbJLB8weZ+kAEZEwRDbcD3enaO04QN/BO6HtLsj00EkDt7z0Vbz9wwD0d3dy3R+bOdSdoj/bsp7tWV+WXWd9pJ51yC70NbemmnhFfksHiIgcLwWFu5nNAO4HpgOVwDp3f2HYa7YAy4DBK5Ir3L1tArV+ID19/bx2oJ3U4QfIHNwE6f0Qm0dQt4GNT57C3oEe9faeXvZ3dNM7mOqM37MOUPsBFvoSEQlboTP3dcCT7n6nmRnwO+CsYa9pBC5099aJFPhBpfrSvHskSUfPLpJ7r4bUbgiqYdY1BDO/R1A2jTcPP0Mq3c/+9m46BpbMhex589svXjpqzzpoti4ipaXQcL8DSOYcoyd3p5mVAacBvzSzOUCTu28tuMpxtHb2cKg7Rbr1RhZU3Q0pIHEJQd0GgvKTgOzKjsl0mj2tHWRy3lt3QiWNJ9Vx/ig30ACdWxeR0hNkMpkxX2BmVwJrh22+wt13mdlc4DFgjbs/k/OeGuD7wO1ADHga+Ia7vzzSZzQ3Ny8AXit0EPs6U/T2Z5hX8SMqg3f4X+9VdGcWDe3/94Fu7ml5lzc73uuCqYoFzK6OURUrY/UZdZx54si3vKuNlxMvL97SASIix8ApjY2Nr+duGHfm7u5NQNPw7Wa2GNgGrM8N9gFdwBZ37xp47VPAmcCI4T6ooaGBqqr8l8KtO9hJKt0P3E9LSwsNDQ0AOT3r+4Zee0JljIW1NWTIMH9mgpVL5rPs1PqjjjkzXsGJiXhos/Xm5mYaGxtD+exiiso4IDpj0Tgmn0LHkkwmaWlpGXFfoRdUFwHbga+4++4RXnI68JCZfRQoI3th9b5CPqsQ/ZkMO15+46ie9ZWLT2b9eR+hdoy11NW3LiJRUGiCbQbiwJbs9VTa3H2Fma0D9rj7o2b2W2An0Av8xt3/WZSKx7G3PcnmB549qmf9ps8uYen82WO+V98yFZGoKCjc3X3FKNtvz3l8K3BrgXXlrSvVx13POff+/a3396yPsc76IK0JIyJRE4k0e8L3sfHxl/NaZ32QVnAUkSgq6XDPZDJctX0nTS/uGdpWF49x00Vncf7p88a8GFpeFjBXs3URiaiSTrYjqb6hYB9cZ/3c2jRLx7lLkWbrIhJ1JR3uiaoKbvtSIy/ubeXSxlOw+hmjtgVBdrY+JxFnmu6OJCIRV9LhDrD2nEW8PtTnPrrpVRXUJzRbF5GpoeTDfTyarYvIVBTpcK+pKqc+ESdWpuUDRGRqiWS4x4KAOTVxEpqti8gUFblwn1ZRxoLaaZqti8iUFplwjwUB9Yk4HdUVCnYRmfIiEe6JynJmnVCpUBcRGRCJcJ+diIddgojIpKKprohIBCncRUQiSOEuIhJBCncRkQhSuIuIRJDCXUQkghTuIiIRpHAXEYmgyfIlphhAKpUqysGSyWRRjhM2jWPyicpYNI7Jp5Cx5GRmbPi+IJPJTLCkiWtubl4G/C3sOkREStTyxsbGZ3M3TJaZ+y5gOfAOkA65FhGRUhED5pHN0PeZFDN3EREpLl1QFRGJIIW7iEgEKdxFRCJI4S4iEkEKdxGRCJosrZBFY2bTgAeBWUAKuNzd3w63qvyZ2QzgfmA6UAmsc/cXwq2qcGa2ErjE3VeHXUs+zKwMuBs4E0gC33T3PeFWVTgz+zhwi7ufG3YthTKzCmArsACoAm5290dDLaoAZhYD7gEMyABXu3tLsY4fxZn7t4Bmdz+bbDheE3I9hVoHPOnu5wBfB+4Kt5zCmdkWYDOl+fN2MRB3908C1wE/DrmegpnZNcCvgFK/L+XXgAPuvhz4HPCzkOsp1BcB3P1TwI3ApmIevBT/s43J3e/kvb+k+cDhEMuZiDuAXww8Lgd6Qqxlop4HvhN2EQVaBvwZwN13Ah8Lt5wJeRVYFXYRRbAd2DDwOAD6QqylYO7+B+DbA08/RJGzqqRPy5jZlcDaYZuvcPddZvYUsBi44PhXlp9xxjGX7G8ga45/ZfkZYxwPmdm5IZRUDNOBtpznaTMrd/eSCxR3f9jMFoRdx0S5eyeAmdUAvyc76y1J7t5nZvcBK4EvF/PYJR3u7t4ENI2y79NmdgbwJ2DhcS0sT6ONw8wWA9uA9e7+zHEvLE9j/XuUsHagJud5WSkGe9SY2cnAI8Dd7v5g2PVMhLtfbmbXAi+a2SJ3P1KM40butIyZXW9mlw087aRE16oxs0Vkf/1c7e6PhV3PFPYc8HkAM/sE8Eq45YiZzQEeB651961h11MoM7vMzK4feNoF9A/8KYqSnrmPYitw38ApghhwRcj1FGoz2QtfW8wMoM3dV4Rb0pT0CHCBmT1P9vxuqf48RckNZLvhNpjZ4Ln3i9y9O8SaCrED+LWZ/RWoANYUcwxaOExEJIIid1pGREQU7iIikaRwFxGJIIW7iEgEKdxFRCJI4S4iEkEKdxGRCPo/BXksoqAUS+0AAAAASUVORK5CYII=\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plotting population regression line in yellow\n",
"ax = sns.regplot(x=x, y=y)\n",
"x1 = -3\n",
"y1 = -1 + 0.5 * x1\n",
"x2 =3\n",
"y2 = -1 + 0.5 * x2\n",
"plt.plot([x1, x2],[y1, y2],c='y', label='population regression line')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (g) Now fit a polynomial regression model that predicts y using x and x^2. Is there evidence that the quadratic term improves the model fit? Explain your answer.\n",
"\n",
"- No\n",
"- The R-squared score remains unchanged\n",
"- The t-statistic for the coefficient on the polynomial term is not statistically significant."
]
},
{
"cell_type": "code",
"execution_count": 253,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.816\n",
"Model: OLS Adj. R-squared: 0.813\n",
"Method: Least Squares F-statistic: 215.6\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 2.00e-36\n",
"Time: 12:14:17 Log-Likelihood: -1.7262\n",
"No. Observations: 100 AIC: 9.452\n",
"Df Residuals: 97 BIC: 17.27\n",
"Df Model: 2 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Intercept -0.9636 0.031 -31.002 0.000 -1.025 -0.902\n",
"x 0.5388 0.027 20.316 0.000 0.486 0.591\n",
"I(x ** 2) -0.0115 0.020 -0.569 0.571 -0.052 0.029\n",
"==============================================================================\n",
"Omnibus: 1.975 Durbin-Watson: 2.529\n",
"Prob(Omnibus): 0.373 Jarque-Bera (JB): 1.410\n",
"Skew: -0.172 Prob(JB): 0.494\n",
"Kurtosis: 3.469 Cond. No. 2.33\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 253,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print(smf.ols(formula= 'y ~ x + I(x ** 2)', data=pd.DataFrame({'x':x, 'y':y})).fit().summary())\n",
"sns.regplot(x=x,y=y, order=2)\n",
"# plotting population regression line in yellow\n",
"x1 = -3\n",
"y1 = -1 + 0.5 * x1\n",
"x2 =3\n",
"y2 = -1 + 0.5 * x2\n",
"plt.plot([x1, x2],[y1, y2],c='y', label='population regression line')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (h) Repeat (a)–(f) after modifying the data generation process in such a way that there is less noise in the data. The model (3.39) should remain the same. You can do this by decreasing the variance of the normal distribution used to generate the error term ε in (b). Describe your results.\n",
"\n",
"- The R-squared score has increased; indicating a better fit. We also see this in the plot, where it is clear that the RSS has decreased.\n",
"- The t-statistic of the coefficient has increased; indicating more confidence in the relationship (the ratio of effect to error has increased)"
]
},
{
"cell_type": "code",
"execution_count": 266,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.963\n",
"Model: OLS Adj. R-squared: 0.963\n",
"Method: Least Squares F-statistic: 2584.\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 3.06e-72\n",
"Time: 12:32:37 Log-Likelihood: 97.892\n",
"No. Observations: 100 AIC: -191.8\n",
"Df Residuals: 98 BIC: -186.6\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Intercept -1.0040 0.009 -109.031 0.000 -1.022 -0.986\n",
"x 0.5032 0.010 50.838 0.000 0.484 0.523\n",
"==============================================================================\n",
"Omnibus: 0.876 Durbin-Watson: 2.033\n",
"Prob(Omnibus): 0.645 Jarque-Bera (JB): 0.875\n",
"Skew: -0.217 Prob(JB): 0.646\n",
"Kurtosis: 2.855 Cond. No. 1.11\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 266,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.random.randn(100)\n",
"eps = np.random.normal(0, 0.1, 100)\n",
"y = - 1 + 0.5 * x + eps\n",
"print(smf.ols(formula='y ~ x', data=pd.DataFrame({'x':x, 'y': y})).fit().summary())\n",
"sns.regplot(x=x, y=y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (i) Repeat (a)–(f) after modifying the data generation process in such a way that there is more noise in the data. The model (3.39) should remain the same. You can do this by increasing the variance of the normal distribution used to generate the error term ε in (b). Describe your results.\n",
"\n",
"- The R-squared score has decreased; indicating a worse fit. We also see this in the plot, where is is clear the RSS has increased.\n",
"- The t-statistic of the coefficient has decreased and its p-value has increased, whilst, the result is still significantly significant, it is less so."
]
},
{
"cell_type": "code",
"execution_count": 280,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.037\n",
"Model: OLS Adj. R-squared: 0.027\n",
"Method: Least Squares F-statistic: 3.764\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 0.0553\n",
"Time: 12:38:22 Log-Likelihood: -202.87\n",
"No. Observations: 100 AIC: 409.7\n",
"Df Residuals: 98 BIC: 414.9\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Intercept 1.2510 0.188 6.669 0.000 0.879 1.623\n",
"x -0.3653 0.188 -1.940 0.055 -0.739 0.008\n",
"==============================================================================\n",
"Omnibus: 3.529 Durbin-Watson: 2.033\n",
"Prob(Omnibus): 0.171 Jarque-Bera (JB): 2.984\n",
"Skew: -0.411 Prob(JB): 0.225\n",
"Kurtosis: 3.203 Cond. No. 1.15\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 280,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.random.randn(100)\n",
"eps = np.random.normal(0, 2, 100)\n",
"y = 1 - 0.5 * x + eps\n",
"print(smf.ols(formula='y ~ x', data=pd.DataFrame({'x':x, 'y':y})).fit().summary())\n",
"sns.regplot(x=x,y=y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (j) What are the confidence intervals for β0 and β1 based on the original data set, the noisier data set, and the less noisy data set? Comment on your results.\n",
"\n",
"- The CI widths increase monotonically with increasing noise\n",
"- The intervals are all centered around the poulation regression coefficient; 0.5"
]
},
{
"cell_type": "code",
"execution_count": 287,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0 -0.563428\n",
"1 -0.472417\n",
"Name: x, dtype: float64\n",
"0 -0.523437\n",
"1 -0.484602\n",
"Name: x, dtype: float64\n",
"0 -0.893729\n",
"1 -0.151275\n",
"Name: x, dtype: float64\n"
]
}
],
"source": [
"x = np.random.randn(100)\n",
"eps_orig = np.random.normal(0, 0.25, 100)\n",
"eps_quiet = np.random.normal(0, 0.1, 100)\n",
"eps_noisey = np.random.normal(0, 2, 100)\n",
"\n",
"y_orig = 1 - 0.5 * x + eps_orig\n",
"y_quiet = 1 - 0.5 * x + eps_quiet\n",
"y_noisey = 1 - 0.5 * x + eps_noisey\n",
"\n",
"print(smf.ols(formula='y ~ x', data=pd.DataFrame({'x':x, 'y':y_orig})).fit().conf_int(0.05).loc['x']) #0.100231\n",
"print(smf.ols(formula='y ~ x', data=pd.DataFrame({'x':x, 'y':y_quiet})).fit().conf_int(0.05).loc['x']) #0.047068\n",
"print(smf.ols(formula='y ~ x', data=pd.DataFrame({'x':x, 'y':y_noisey})).fit().conf_int(0.05).loc['x']) #0.80483\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 14. This problem focuses on the collinearity problem. (a) Perform the following commands in R:\n",
"```\n",
"> set.seed(1)\n",
"> x1=runif(100)\n",
"> x2=0.5*x1+rnorm(100)/10\n",
"> y=2+2*x1+0.3*x2+rnorm(100)\n",
"```\n",
"#### The last line corresponds to creating a linear model in which y is a function of x1 and x2. Write out the form of the linear model. What are the regression coefficients?\n",
"\n",
"- `y = bo + b1 * x1 + b2 * x2 + eps`\n",
"- where: `b0 = 2, b1 = 2, b2 = 0.3`"
]
},
{
"cell_type": "code",
"execution_count": 331,
"metadata": {},
"outputs": [],
"source": [
"# python equivalent\n",
"x1 = np.random.uniform(size=100)\n",
"x2 = 0.5 * x1 + np.random.randn(100)/10\n",
"y = 2 + 2 * x1 + 0.3 * x2 + np.random.randn(100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### (b) What is the correlation between x1 and x2? Create a scatterplot displaying the relationship between the variables."
]
},
{
"cell_type": "code",
"execution_count": 302,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[1. , 0.84348228],\n",
" [0.84348228, 1. ]])"
]
},
"execution_count": 302,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.regplot(x=x1, y=x2)\n",
"np.corrcoef(x1, x2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (c) Using this data, fit a least squares regression to predict y using x1 and x2. Describe the results obtained. What are βˆ0, βˆ1, and βˆ2? How do these relate to the true β0, β1, and β2? Can you reject the null hypothesis H0 : β1 = 0? How about the null hypothesis H0 : β2 = 0?\n",
"\n",
"- The F-statistic is > 1 and the p-value for t-statistic of the x1 coefficient is statistically significant; we can reject the null hypothesis H0: β1 = β2 = 0.\n",
"- The β^0, β^1 coefficients are close to the population paramaters; they have moderately large t-statistics with small p-values - they are statistically significant.\n",
"- The β^2 coefficient is not close to the population paramater (relative to the smal size the population paramater); it has a small t-statistic and and a large p-value - it is not statistically significant.\n",
"- We CAN reject H0 : β1 = 0.\n",
"- We CANNOT reject H0 : β2 = 0."
]
},
{
"cell_type": "code",
"execution_count": 340,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"
OLS Regression Results
\n",
"
\n",
"
Dep. Variable:
y
R-squared:
0.243
\n",
"
\n",
"
\n",
"
Model:
OLS
Adj. R-squared:
0.227
\n",
"
\n",
"
\n",
"
Method:
Least Squares
F-statistic:
15.72
\n",
"
\n",
"
\n",
"
Date:
Wed, 05 Sep 2018
Prob (F-statistic):
1.20e-06
\n",
"
\n",
"
\n",
"
Time:
14:33:28
Log-Likelihood:
-144.38
\n",
"
\n",
"
\n",
"
No. Observations:
101
AIC:
294.8
\n",
"
\n",
"
\n",
"
Df Residuals:
98
BIC:
302.6
\n",
"
\n",
"
\n",
"
Df Model:
2
\n",
"
\n",
"
\n",
"
Covariance Type:
nonrobust
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
coef
std err
t
P>|t|
[0.025
0.975]
\n",
"
\n",
"
\n",
"
Intercept
2.2686
0.196
11.558
0.000
1.879
2.658
\n",
"
\n",
"
\n",
"
x1
0.3340
0.536
0.624
0.534
-0.729
1.397
\n",
"
\n",
"
\n",
"
x2
2.6116
0.854
3.060
0.003
0.918
4.305
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
Omnibus:
2.304
Durbin-Watson:
1.917
\n",
"
\n",
"
\n",
"
Prob(Omnibus):
0.316
Jarque-Bera (JB):
2.318
\n",
"
\n",
"
\n",
"
Skew:
-0.348
Prob(JB):
0.314
\n",
"
\n",
"
\n",
"
Kurtosis:
2.742
Cond. No.
10.9
\n",
"
\n",
"
Warnings: [1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
],
"text/plain": [
"\n",
"\"\"\"\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.243\n",
"Model: OLS Adj. R-squared: 0.227\n",
"Method: Least Squares F-statistic: 15.72\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 1.20e-06\n",
"Time: 14:33:28 Log-Likelihood: -144.38\n",
"No. Observations: 101 AIC: 294.8\n",
"Df Residuals: 98 BIC: 302.6\n",
"Df Model: 2 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Intercept 2.2686 0.196 11.558 0.000 1.879 2.658\n",
"x1 0.3340 0.536 0.624 0.534 -0.729 1.397\n",
"x2 2.6116 0.854 3.060 0.003 0.918 4.305\n",
"==============================================================================\n",
"Omnibus: 2.304 Durbin-Watson: 1.917\n",
"Prob(Omnibus): 0.316 Jarque-Bera (JB): 2.318\n",
"Skew: -0.348 Prob(JB): 0.314\n",
"Kurtosis: 2.742 Cond. No. 10.9\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"\"\"\""
]
},
"execution_count": 340,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"smf.ols(formula='y ~ x1 + x2', data=pd.DataFrame({'x1' : x1, 'x2' : x2, 'y': y})).fit().summary()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (d) Now fit a least squares regression to predict y using only x1. Comment on your results. Can you reject the null hypothesis H0 :β1 =0?\n",
"\n",
"- The coefficeint β1 has a large t-statistic and corresponding low p-value: we can reject the null hypothesis H0 :β1 =0."
]
},
{
"cell_type": "code",
"execution_count": 333,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"
OLS Regression Results
\n",
"
\n",
"
Dep. Variable:
y
R-squared:
0.214
\n",
"
\n",
"
\n",
"
Model:
OLS
Adj. R-squared:
0.206
\n",
"
\n",
"
\n",
"
Method:
Least Squares
F-statistic:
26.75
\n",
"
\n",
"
\n",
"
Date:
Wed, 05 Sep 2018
Prob (F-statistic):
1.23e-06
\n",
"
\n",
"
\n",
"
Time:
14:29:29
Log-Likelihood:
-142.13
\n",
"
\n",
"
\n",
"
No. Observations:
100
AIC:
288.3
\n",
"
\n",
"
\n",
"
Df Residuals:
98
BIC:
293.5
\n",
"
\n",
"
\n",
"
Df Model:
1
\n",
"
\n",
"
\n",
"
Covariance Type:
nonrobust
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
coef
std err
t
P>|t|
[0.025
0.975]
\n",
"
\n",
"
\n",
"
Intercept
2.2382
0.195
11.504
0.000
1.852
2.624
\n",
"
\n",
"
\n",
"
x1
1.7518
0.339
5.172
0.000
1.080
2.424
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
Omnibus:
2.659
Durbin-Watson:
2.061
\n",
"
\n",
"
\n",
"
Prob(Omnibus):
0.265
Jarque-Bera (JB):
2.323
\n",
"
\n",
"
\n",
"
Skew:
-0.268
Prob(JB):
0.313
\n",
"
\n",
"
\n",
"
Kurtosis:
2.479
Cond. No.
4.21
\n",
"
\n",
"
Warnings: [1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
],
"text/plain": [
"\n",
"\"\"\"\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.214\n",
"Model: OLS Adj. R-squared: 0.206\n",
"Method: Least Squares F-statistic: 26.75\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 1.23e-06\n",
"Time: 14:29:29 Log-Likelihood: -142.13\n",
"No. Observations: 100 AIC: 288.3\n",
"Df Residuals: 98 BIC: 293.5\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Intercept 2.2382 0.195 11.504 0.000 1.852 2.624\n",
"x1 1.7518 0.339 5.172 0.000 1.080 2.424\n",
"==============================================================================\n",
"Omnibus: 2.659 Durbin-Watson: 2.061\n",
"Prob(Omnibus): 0.265 Jarque-Bera (JB): 2.323\n",
"Skew: -0.268 Prob(JB): 0.313\n",
"Kurtosis: 2.479 Cond. No. 4.21\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"\"\"\""
]
},
"execution_count": 333,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"smf.ols(formula='y ~ x1', data = pd.DataFrame({'x1' : x1, 'y' : y})).fit().summary()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (e) Now fit a least squares regression to predict y using only x2. Comment on your results. Can you reject the null hypothesis H0 :β1 =0?\n",
"\n",
"- The coefficeint β1 has a large t-statistic and corresponding low p-value: we can reject the null hypothesis H0 :β1 =0.\n"
]
},
{
"cell_type": "code",
"execution_count": 334,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"
OLS Regression Results
\n",
"
\n",
"
Dep. Variable:
y
R-squared:
0.204
\n",
"
\n",
"
\n",
"
Model:
OLS
Adj. R-squared:
0.196
\n",
"
\n",
"
\n",
"
Method:
Least Squares
F-statistic:
25.11
\n",
"
\n",
"
\n",
"
Date:
Wed, 05 Sep 2018
Prob (F-statistic):
2.40e-06
\n",
"
\n",
"
\n",
"
Time:
14:29:51
Log-Likelihood:
-142.79
\n",
"
\n",
"
\n",
"
No. Observations:
100
AIC:
289.6
\n",
"
\n",
"
\n",
"
Df Residuals:
98
BIC:
294.8
\n",
"
\n",
"
\n",
"
Df Model:
1
\n",
"
\n",
"
\n",
"
Covariance Type:
nonrobust
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
coef
std err
t
P>|t|
[0.025
0.975]
\n",
"
\n",
"
\n",
"
Intercept
2.3630
0.179
13.236
0.000
2.009
2.717
\n",
"
\n",
"
\n",
"
x2
2.8161
0.562
5.011
0.000
1.701
3.931
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
Omnibus:
1.861
Durbin-Watson:
1.992
\n",
"
\n",
"
\n",
"
Prob(Omnibus):
0.394
Jarque-Bera (JB):
1.842
\n",
"
\n",
"
\n",
"
Skew:
-0.319
Prob(JB):
0.398
\n",
"
\n",
"
\n",
"
Kurtosis:
2.811
Cond. No.
5.90
\n",
"
\n",
"
Warnings: [1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
],
"text/plain": [
"\n",
"\"\"\"\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.204\n",
"Model: OLS Adj. R-squared: 0.196\n",
"Method: Least Squares F-statistic: 25.11\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 2.40e-06\n",
"Time: 14:29:51 Log-Likelihood: -142.79\n",
"No. Observations: 100 AIC: 289.6\n",
"Df Residuals: 98 BIC: 294.8\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Intercept 2.3630 0.179 13.236 0.000 2.009 2.717\n",
"x2 2.8161 0.562 5.011 0.000 1.701 3.931\n",
"==============================================================================\n",
"Omnibus: 1.861 Durbin-Watson: 1.992\n",
"Prob(Omnibus): 0.394 Jarque-Bera (JB): 1.842\n",
"Skew: -0.319 Prob(JB): 0.398\n",
"Kurtosis: 2.811 Cond. No. 5.90\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"\"\"\""
]
},
"execution_count": 334,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"smf.ols(formula='y ~ x2', data = pd.DataFrame({'x2' : x2, 'y' : y})).fit().summary()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### (f) Do the results obtained in (c)–(e) contradict each other? Explain your answer.\n",
"\n",
"- No.\n",
"- In the absence of eachother each predictor has a statistically significant relationsip with the indipendent variable.\n",
"- In the presence of eachother, it is not possible to seperate the effects of the predictors as they are colinear. This increases the standard error, reducing the t-statistic and results in a p-value that is not statistically significant.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### (g) Now suppose we obtain one additional observation, which was unfortunately mismeasured.\n",
"```\n",
"> x1=c(x1, 0.1) \n",
"> x2=c(x2, 0.8)\n",
"> y=c(y,6)\n",
"```\n",
"##### Re-fit the linear models from (c) to (e) using this new data. What effect does this new observation have on the each of the models? In each model, is this observation an outlier? A high-leverage point? Both? Explain your answers.\n",
"\n",
"*y ~ x1 + x2*\n",
"- F-statistic has increased from 15.72 to 18.58\n",
"- R-squared has increased from 0.214 to 0.273\n",
"- The x2 coefficient is now statistically significant and the x1 coefficient is not.\n",
"- The point is not an outlier as it has a studentized residual < 3\n",
"- The point does have high leverage\n",
"\n",
"*y ~ x1*\n",
"- F-statistic has decreased from 26.75 to 15.65\n",
"- R-squared has decreased from 0.243 to 0.135\n",
"- The x1 coefficient is still statistically significat\n",
"- The point is an outlier as it has a studentized residual > 3\n",
"- The point does not have high leverage\n",
"\n",
"*y ~ x2*\n",
"- F-statistic has increased from 25.11 to 37.53\n",
"- R-squared has increased from 0.204 to 0.273\n",
"- The x2 coefficient is still statistically significant\n",
"- The point is an not outlier as it has a studentized residual < 3\n",
"- The point does have high leverage\n"
]
},
{
"cell_type": "code",
"execution_count": 341,
"metadata": {},
"outputs": [],
"source": [
"x1 = np.append(x1, 0.1)\n",
"x2 = np.append(x2,0.8)\n",
"y = np.append(y,6)"
]
},
{
"cell_type": "code",
"execution_count": 342,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.273\n",
"Model: OLS Adj. R-squared: 0.258\n",
"Method: Least Squares F-statistic: 18.58\n",
"Date: Wed, 05 Sep 2018 Prob (F-statistic): 1.41e-07\n",
"Time: 14:34:28 Log-Likelihood: -146.22\n",
"No. Observations: 102 AIC: 298.4\n",
"Df Residuals: 99 BIC: 306.3\n",
"Df Model: 2 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Intercept 2.2865 0.197 11.632 0.000 1.896 2.677\n",
"x1 0.0040 0.477 0.008 0.993 -0.942 0.950\n",
"x2 3.1908 0.737 4.328 0.000 1.728 4.654\n",
"==============================================================================\n",
"Omnibus: 2.740 Durbin-Watson: 1.910\n",
"Prob(Omnibus): 0.254 Jarque-Bera (JB): 2.705\n",
"Skew: -0.387 Prob(JB): 0.259\n",
"Kurtosis: 2.805 Cond. No. 9.34\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
},
{
"data": {
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\n",
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