{ "cells": [ { "cell_type": "markdown", "id": "677c5e27", "metadata": {}, "source": [ "Starting with MLE and logistic regression model\n" ] }, { "cell_type": "markdown", "id": "2520b517", "metadata": {}, "source": [ "Prerequisites\n", "Make sure you have the necessary Python libraries installed:\n", "pip install numpy pandas scikit-learn scipy matplotlib statsmodels\n", "\n", "\n" ] }, { "cell_type": "markdown", "id": "97cb296e", "metadata": {}, "source": [ "1. Skealearn library" ] }, { "cell_type": "code", "execution_count": 10, "id": "2e1f9bfa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Intercept (w0): -11.683190353932442\n", "Coefficient (w1): 5.687089258005262\n", "Standard errors: [3.50977855 1.95402341]\n", "95% CI for Intercept (w0): (-18.56222989732151, -4.804150810543373)\n", "95% CI for Coefficient (w1): (1.8572737464039792, 9.516904769606544)\n", "params:\n", "[-11.68319035 5.68708926]\n", "covariance matrix:\n", "[[12.31854544 -6.71118734]\n", " [-6.71118734 3.81820749]]\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.linear_model import LogisticRegression\n", "from scipy import io\n", "from scipy.stats import norm\n", "\n", "# Load the data\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "\n", "# Load .mat files\n", "suv_dict = io.loadmat(suv_file)\n", "flags_dict = io.loadmat(flags_file)\n", "\n", "# Extract relevant data\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "\n", "# Choose percentile of interest\n", "p = 94 # For lung and bowel, use 94 (0-indexed)\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1)\n", "\n", "# Handle missing values\n", "valid_indices = ~np.isnan(X).flatten()\n", "X = X[valid_indices]\n", "flags = flags[valid_indices]\n", "\n", "# Fit logistic regression using sklearn\n", "logr = LogisticRegression(penalty=None, solver='lbfgs')\n", "logr.fit(X, flags)\n", "\n", "# Print model coefficients\n", "print(\"Intercept (w0):\", logr.intercept_[0])\n", "print(\"Coefficient (w1):\", logr.coef_[0][0])\n", "\n", "# Design matrix with intercept\n", "X_design = np.hstack([np.ones((X.shape[0], 1)), X])\n", "\n", "# Predicted probabilities\n", "pred_probs = logr.predict_proba(X)[:, 1]\n", "\n", "# Variance matrix\n", "V = np.diagflat(pred_probs * (1 - pred_probs))\n", "\n", "# Covariance matrix of parameters\n", "cov_matrix = np.linalg.inv(X_design.T @ V @ X_design)\n", "\n", "# Standard errors\n", "std_errors = np.sqrt(np.diag(cov_matrix))\n", "print(\"Standard errors:\", std_errors)\n", "\n", "# Combine parameters\n", "params = np.array([logr.intercept_[0], logr.coef_[0][0]])\n", "\n", "# 95% CI for parameters using normal approximation\n", "z = norm.ppf(0.975) # 1.96 for 95% CI\n", "\n", "ci_intercept = (\n", " params[0] - z * std_errors[0],\n", " params[0] + z * std_errors[0]\n", ")\n", "\n", "ci_coef = (\n", " params[1] - z * std_errors[1],\n", " params[1] + z * std_errors[1]\n", ")\n", "\n", "print(f\"95% CI for Intercept (w0): {ci_intercept}\")\n", "print(f\"95% CI for Coefficient (w1): {ci_coef}\")\n", "\n", "print(\"params:\")\n", "print(params)\n", "\n", "print(\"covariance matrix:\")\n", "print(cov_matrix)\n", "\n", "# Define logistic function\n", "def logistic(x, params):\n", " return 1 / (1 + np.exp(-(params[0] + params[1] * x)))\n", "\n", "# Generate bootstrap samples\n", "n_bootstraps = 1000\n", "bootstrap_params = np.random.multivariate_normal(params, cov_matrix, size=n_bootstraps)\n", "\n", "# Generate x values for plotting\n", "x_vals = np.linspace(X.min(), X.max(), 100)\n", "\n", "# Compute predicted probabilities for each bootstrap sample\n", "predicted_probs = np.array([logistic(x_vals, bp) for bp in bootstrap_params])\n", "\n", "# Calculate mean predicted probability across samples\n", "mean_predicted_probs = predicted_probs.mean(axis=0)\n", "\n", "# Calculate 95% confidence intervals\n", "lower_bounds = np.percentile(predicted_probs, 2.5, axis=0)\n", "upper_bounds = np.percentile(predicted_probs, 97.5, axis=0)\n", "\n", "# Plotting\n", "plt.figure(figsize=(10, 6))\n", "plt.title(\"Prediction Probability of AE Depending on maxSUV Value\")\n", "plt.xlabel(r\"$x = \\max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(\"P(AE | X = x)\")\n", "\n", "# Scatter data points\n", "plt.scatter(X[flags == 0], flags[flags == 0], label=\"NC\", color='blue', alpha=0.6)\n", "plt.scatter(X[flags == 1], flags[flags == 1], label=\"AE\", color='red', alpha=0.6)\n", "\n", "# Plot the mean logistic curve\n", "plt.plot(x_vals, mean_predicted_probs, color='green', label=\"mean\")\n", "plt.plot(x_vals, logistic(x_vals, params), color='red', label=\"Logistic Regression (MLE)\")\n", "\n", "# Confidence interval band\n", "plt.fill_between(x_vals, lower_bounds, upper_bounds, color='green', alpha=0.2, label=\"95% CI (Parametric Bootstrap)\")\n", "\n", "plt.legend(loc='center right')\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "92b70025", "metadata": {}, "source": [ "My question? You mentined that it would be better not use regulization. Whay? Also, what about penalty? " ] }, { "cell_type": "markdown", "id": "16b21d5a", "metadata": {}, "source": [ "2. Statmodels library" ] }, { "cell_type": "code", "execution_count": 4, "id": "36e9c0c3", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/horvat/venvs/base/lib/python3.12/site-packages/statsmodels/discrete/discrete_model.py:2385: RuntimeWarning: overflow encountered in exp\n", " return 1/(1+np.exp(-X))\n", "/home/horvat/venvs/base/lib/python3.12/site-packages/statsmodels/discrete/discrete_model.py:2443: RuntimeWarning: divide by zero encountered in log\n", " return np.sum(np.log(self.cdf(q * linpred)))\n", "/home/horvat/venvs/base/lib/python3.12/site-packages/statsmodels/base/model.py:595: HessianInversionWarning: Inverting hessian failed, no bse or cov_params available\n", " warnings.warn('Inverting hessian failed, no bse or cov_params '\n", "/home/horvat/venvs/base/lib/python3.12/site-packages/statsmodels/base/model.py:595: HessianInversionWarning: Inverting hessian failed, no bse or cov_params available\n", " warnings.warn('Inverting hessian failed, no bse or cov_params '\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: inf\n", " Iterations 8\n", " Logit Regression Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 58\n", "Model: Logit Df Residuals: 56\n", "Method: MLE Df Model: 1\n", "Date: Thu, 17 Apr 2025 Pseudo R-squ.: inf\n", "Time: 12:47:18 Log-Likelihood: -inf\n", "converged: True LL-Null: 0.0000\n", "Covariance Type: nonrobust LLR p-value: 1.000\n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -11.6839 3.510 -3.328 0.001 -18.564 -4.804\n", "x1 5.6870 1.954 2.910 0.004 1.857 9.517\n", "==============================================================================\n", "\n", "95% Confidence Intervals for Parameters:\n", " [[-18.56416559 -4.8035785 ]\n", " [ 1.85686085 9.51707004]]\n", "params:\n", "[-11.68387205 5.68696545]\n", "covariance matrix:\n", "[[12.32303702 -6.71291913]\n", " [-6.71291913 3.81878393]]\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import io\n", "import statsmodels.api as sm\n", "\n", "# Load the data\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "\n", "# Load .mat files\n", "suv_dict = io.loadmat(suv_file)\n", "flags_dict = io.loadmat(flags_file)\n", "\n", "# Extract relevant data\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "\n", "# Choose percentile of interest\n", "p = 94 # For lung and bowel, use 94 (0-indexed)\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1)\n", "\n", "# Handle missing values\n", "valid_indices = ~np.isnan(X).flatten()\n", "X = X[valid_indices]\n", "flags = flags[valid_indices]\n", "\n", "# Add intercept term\n", "X_with_intercept = sm.add_constant(X)\n", "\n", "# Fit logistic regression using MLE\n", "model = sm.Logit(flags, X_with_intercept)\n", "result = model.fit()\n", "\n", "# Print model summary and parameter confidence intervals\n", "print(result.summary())\n", "print(\"\\n95% Confidence Intervals for Parameters:\\n\", result.conf_int())\n", "\n", "print(\"params:\")\n", "print(result.params)\n", "\n", "print(\"covariance matrix:\")\n", "print(result.cov_params())\n", "\n", "# Prepare values for plotting predictions\n", "x_vals = np.linspace(X.min(), X.max(), 100)\n", "x_vals_with_intercept = sm.add_constant(x_vals)\n", "\n", "# Compute predicted probabilities\n", "predicted_probs = result.predict(x_vals_with_intercept)\n", "\n", "# Compute confidence intervals using the delta method\n", "# Get the covariance matrix of the parameters\n", "cov_params = result.cov_params()\n", "\n", "# Compute the standard errors for the predicted probabilities\n", "# For each x, compute the gradient (Jacobian) of the logistic function\n", "def logistic(x):\n", " return 1 / (1 + np.exp(-x))\n", "\n", "# Compute the linear predictor\n", "linear_pred = x_vals_with_intercept @ result.params\n", "\n", "# Compute the gradients\n", "gradients = x_vals_with_intercept * (logistic(linear_pred) * (1 - logistic(linear_pred)))[:, np.newaxis]\n", "\n", "# Compute the standard errors\n", "standard_errors = np.sqrt(np.sum(gradients @ cov_params * gradients, axis=1))\n", "\n", "# Compute the confidence intervals\n", "z = 1.96 # for 95% confidence interval\n", "lower_bounds = predicted_probs - z * standard_errors\n", "upper_bounds = predicted_probs + z * standard_errors\n", "\n", "# Ensure the bounds are within [0,1]\n", "lower_bounds = np.clip(lower_bounds, 0, 1)\n", "upper_bounds = np.clip(upper_bounds, 0, 1)\n", "\n", "# Plotting\n", "plt.figure(figsize=(10, 6))\n", "plt.title(\"Prediction Probability of AE Depending on maxSUV Value\")\n", "plt.xlabel(r\"$x = \\max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(\"P(AE | X = x)\")\n", "\n", "# Scatter data points\n", "plt.scatter(X[flags == 0], flags[flags == 0], label=\"NC\", color='blue', alpha=0.6)\n", "plt.scatter(X[flags == 1], flags[flags == 1], label=\"AE\", color='red', alpha=0.6)\n", "\n", "# Plot the mean logistic curve (S-shape)\n", "plt.plot(x_vals, predicted_probs, color='green', label=\"Logistic Regression (MLE)\")\n", "\n", "# Confidence interval band\n", "plt.fill_between(x_vals, lower_bounds, upper_bounds, color='green', alpha=0.2, label=\"95% CI (Delta Method)\")\n", "\n", "plt.legend(loc='center right')\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "7bd26ef4", "metadata": {}, "outputs": [], "source": [ "params:\n", "[-11.68319035 5.68708926]\n", "covariance matrix:\n", "[[12.31854544 -6.71118734]\n", " [-6.71118734 3.81820749]]" ] }, { "cell_type": "code", "execution_count": null, "id": "dcf3f9cc", "metadata": {}, "outputs": [], "source": [ "params:\n", "[-11.68387205 5.68696545]\n", "covariance matrix:\n", "[[12.32303702 -6.71291913]\n", " [-6.71291913 3.81878393]]" ] }, { "cell_type": "code", "execution_count": 8, "id": "c74ce3da", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkYAAAGdCAYAAAD3zLwdAAAAP3RFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMS5wb3N0MSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8kixA/AAAACXBIWXMAAA9hAAAPYQGoP6dpAABQK0lEQVR4nO3de1hU170//vdcmBluM4DIVURURIOIt0AwJiaRBBuboz3pSeLxG601NW1NGo/tSbSnxvbXfr+aS5s0qY1pexJ70jRGmyZpiTEhXo+KqCACXogXVEQGBGSG+2Vm/f6Yma2jIAwy7Lm8X88zD7L32jMftoPzdq2111YIIQSIiIiICEq5CyAiIiLyFAxGRERERHYMRkRERER2DEZEREREdgxGRERERHYMRkRERER2DEZEREREdgxGRERERHZquQvwNlarFZcvX0ZoaCgUCoXc5RAREVE/CCHQ1NSEuLg4KJW99wsxGLno8uXLSEhIkLsMIiIiGoDKykqMGDGi1/0MRi4KDQ0FYDuxer1e5mqIiIioP8xmMxISEqTP8d4wGLnIMXym1+sZjIiIiLxMX9NgOPmaiIiIyI7BiIiIiMiOwYiIiIjIjsGIiIiIyI7BiIiIiMiOwYiIiIjIjsGIiIiIyI7BiIiIiMiOwYiIiIjIjsGIiIiIyI7BiIiIiMiOwYiIiIjIjjeRJfJjbZ0W7DxVixPVJiigwMR4Pe5LiYIuQCV3aUREsmAwIvJTnxytwq8+O4G65k6n7dF6LdY+koqH02JlqoyISD4MRkR+RgiB/7ftJP74vxUAgPiwQNw/fjgsVmDXqVoYze344ftFePaBsVj54DgoFAqZKyYiGjoMRkR+5qXt5VIoem52MpbfPxYatW26YUe3Ba9/dRpv7T6LN3eeQYBKiR/NTpazXCKiIcXJ10R+5J/HLmPjnrMAgP/7rYn4jwfHSaEIALRqFV6YMx4/mzsBAPCbvK/xxXGjLLUSEcmBwYjIT1ysb8Wqj0oAAD+8bwwWZib22vape0bjqZlJAID/3HoMVY1tQ1IjEZHcGIyI/IAQAms+LUNLpwUZoyKw8sFxfR7z/JzxSE8Ig7m9G7/4x/EhqJKISH4MRkR+YHuZEXu+vgKNSon1j6ZBrer7V1+jVuKVb0+CWqnAlydqsOtU7RBUSkQkLwYjIh/XZbFi/fZTAIDvzxqN0cND+n3suOhQfNc+pPbLz06g22J1S41ERJ6CwYjIx31UeAkX6lsRGaLB9+8b4/Lxzz4wFmFBATh3pQWfFl92Q4VERJ6DwYjIh3VZrHhjx2kAwA/uG4sgjesrdITqAvD0vbZA9dsdp9HFXiMi8mEMRkQ+bFtpNS6b2jE8VIuFmSMH/DyLZyRiWLAGFxtaefk+Efk0BiMiHyWEwH/vsy3kuOiuxNu6/1mQRo3/c5ft8v537M9JROSLGIyIfFThhasouWSCRq3Ev99Gb5HDwrtGQqNSouhiI45evDoIFRIReR4GIyIf9e7+8wCAf50Sj2Eh2tt+vqhQHR5JjwMAvGN/biIiX8NgROSD6ps7pLlAi2eMGrTnXXK37bm2l1WjoaVz0J6XiMhTMBgR+aBPii+j2yowaYQBE2L1g/a8E+MNSIs3oMsi8Glx1aA9LxGRp2AwIvIxQghsPVIJAPi3aSMG/fn/bbrtObceuTToz01EJDcGIyIfc/yyGaeMTdColPiX9PhBf/5/SY+DRqXEiWozjl82DfrzExHJicGIyMf8rdDWk/NgajQMQQGD/vxhQRo8eEc0APYaEZHvYTAi8iEWq8C20moAtqvR3OXRabbn/qy0GharcNvrEBENNQYjIh9y5HwDaps6EKpT457k4W57nZljh0OvU+NKUwcOn29w2+sQEQ01BiMiH+LoLXrojhho1O779daolchJjXF6TSIiX8BgROQjLFaBbWW2tYu+OSnW7a831/4a20qNHE4jIp/BYETkI46cb8CVpg7odWrcPTbS7a9399hIGAIDUNfcgUMVHE4jIt/AYETkI744XgMAeNDNw2gOASolclJtV6dtL+NwGhH5BgYjIh8ghMCOU45gFD1kr/vQHbZ5Rl+drIUQHE4jIu/HYETkA87VteBCfSs0KiVmJrt/GM3h7rGR0KqVqGpsQ3lN05C9LhGRuzAYEfmAHSdtvUWZoyMQolUP2esGalTSfKYdJ2uH7HWJiNyFwYjIBzhCSfaEoRtGc5g9IQoA8JU9nBEReTMGIyIvZ2rtwpELVwEAD4yPGvLXnz3eFsaKKxtR19wx5K9PRDSYGIyIvNzur2thsQqMiw5BQkTQkL9+jEGHifF6CAHsOsXhNCLybgxGRF5upz2MPDB+6IfRHByvzXlGROTtGIyIvJjVKrDvdB0A4L4U990brS+z7UN4+8/Uodtila0OIqLbxWBE5MXKa5pQ39KJwAAVpo4Ml62OifEGhAUFoKmjG8cuNcpWBxHR7WIwIvJijt6izNERQ7LadW9USgXuHmO7bP9/7TUREXkjBiMiL7bvjC2EzByCe6P15Z5kBiMi8n4MRkReqqPbIt28dShXu+6No4biykaY27tkroaIaGAYjIi8VNGFRrR1WRAZokVKdKjc5WBEeBBGRwbDYhXIP1svdzlERAPCYETkpfZLw2jDoFAoZK7G5tpw2hWZKyEiGhgGIyIvJc0vSpbvMv0b3WOvhfOMiMhbMRgReSFTaxdK7JfF3z12mLzFXOeuMcOgUipwob4VlQ2tcpdDROQyBiMiL5R/rh5WAYwZHoxYQ6Dc5UhCtGpMGmEAABTYJ4YTEXkTBiMiL3TwnG1y84wx8l+NdqO7Rtt6sArOcQI2EXkfBiMiL+S4TD9zdITMldwsM8lW08EKBiMi8j4MRkRextTWhZNGMwAgI8nzgtH0URFQKRWobGjDpaucZ0RE3mVAwWjDhg0YNWoUdDodMjMzcejQoVu237p1K8aPHw+dToe0tDRs27bNab8QAi+++CJiY2MRGBiI7OxsnD592qlNQ0MDFi5cCL1ej7CwMCxduhTNzc3S/t27d2PevHmIjY1FcHAwJk+ejPfff9/lWog83ZHzDRACGB0ZjKhQndzl3CREq0ZavH2e0TnOMyIi7+JyMPrwww+xcuVKrF27FkVFRUhPT0dOTg5qa2t7bH/gwAEsWLAAS5cuxdGjRzF//nzMnz8fZWVlUpuXX34Zb7zxBjZu3IiCggIEBwcjJycH7e3tUpuFCxfi+PHjyMvLQ25uLvbu3Ytly5Y5vc6kSZPw0UcfoaSkBEuWLMGiRYuQm5vrUi1Ens4xjOaJvUUO0jwjDqcRkbcRLsrIyBDLly+XvrdYLCIuLk6sW7eux/aPPfaYmDt3rtO2zMxM8fTTTwshhLBarSImJka88sor0v7Gxkah1WrFBx98IIQQ4sSJEwKAOHz4sNTm888/FwqFQlRVVfVa68MPPyyWLFnS71r6w2QyCQDCZDL1+xiiwTTvd/tE4gu54qPCSrlL6dWuUzUi8YVccc9LO+UuhYhICNH/z2+Xeow6OztRWFiI7OxsaZtSqUR2djby8/N7PCY/P9+pPQDk5ORI7SsqKmA0Gp3aGAwGZGZmSm3y8/MRFhaG6dOnS22ys7OhVCpRUFDQa70mkwkREdf+V91XLT3p6OiA2Wx2ehDJpaWjG2VVJgBA5mjPWb/oRo55RhcbWlHV2CZ3OURE/eZSMKqrq4PFYkF0dLTT9ujoaBiNxh6PMRqNt2zv+NpXm6ioKKf9arUaERERvb7uli1bcPjwYSxZsqTftfRk3bp1MBgM0iMhIaHXtkTuVnTxKrqtAvFhgYgP85z1i24UolVjojTPiMNpROQ9fPKqtF27dmHJkiX44x//iNTU1Nt6rtWrV8NkMkmPysrKQaqSyHXSZfoePL/I4S77UgIHGYyIyIu4FIwiIyOhUqlQU1PjtL2mpgYxMTE9HhMTE3PL9o6vfbW5cXJ3d3c3GhoabnrdPXv24JFHHsFrr72GRYsWuVRLT7RaLfR6vdODSC4FHrx+0Y3uSrIN9R0+f1XmSoiI+s+lYKTRaDBt2jTs2LFD2ma1WrFjxw5kZWX1eExWVpZTewDIy8uT2iclJSEmJsapjdlsRkFBgdQmKysLjY2NKCwslNrs3LkTVqsVmZmZ0rbdu3dj7ty5eOmll5yuWOtvLUSerL3LguLKRgBARpLnzi9ymJoYDoUCqKhrQV1zh9zlEBH1j6uzujdv3iy0Wq3YtGmTOHHihFi2bJkICwsTRqNRCCHEk08+KVatWiW1379/v1Cr1eLVV18VJ0+eFGvXrhUBAQGitLRUarN+/XoRFhYmPv30U1FSUiLmzZsnkpKSRFtbm9Rmzpw5YsqUKaKgoEDs27dPJCcniwULFkj7d+7cKYKCgsTq1atFdXW19Kivr3eplr7wqjSSy+GKepH4Qq6Y9ss8YbVa5S6nXx76zR6R+EKu2F5WLXcpROTn+vv57XIwEkKIN998U4wcOVJoNBqRkZEhDh48KO2bNWuWWLx4sVP7LVu2iHHjxgmNRiNSU1PFZ5995rTfarWKNWvWiOjoaKHVasXs2bNFeXm5U5v6+nqxYMECERISIvR6vViyZIloamqS9i9evFgAuOkxa9Ysl2rpC4MRyWXj7jMi8YVcsex/Dvfd2EOs/nuJSHwhV/wq97jcpRCRn+vv57dCCCFk667yQmazGQaDASaTifONaEg9/d4RfHG8Bqu/MR5Pzxojdzn98veiS1i55RimjAzDxz+8W+5yiMiP9ffz2yevSiPyNUIIFF5oBABMSwyXtxgXTE+0TRIvqzKhvcsiczVERH1jMCLyApeutqGuuQMBKoW0PpA3SIgIRFSoFl0WgZJLJrnLISLqE4MRkRcoumi75D01zgBdgErmavpPoVBg+ihbD9eRC7yhLBF5PgYjIi9QeMEWjKaO9J5hNIdp9uG0I1zPiIi8AIMRkRdw9Bh50/wih+n2mgsvXIXVyms9iMizMRgRebjWzm6crG4CAExNDJO3mAG4I06PwAAVTG1dOHulWe5yiIhuicGIyMMdqzTBYhWIM+gQa/DcG8f2JkClRHqCbcL4kQscTiMiz8ZgROThHMNoU7xwGM3hzlGcZ0RE3oHBiMjDFdl7WaZ54cRrB8fcKF6ZRkSejsGIyIMJIaQeo6le3GM0xR7qLtS3oqGlU+ZqiIh6x2BE5MEq6lpwtbULWrUSd8R67y1oDIEBGDM8GABQXMnhNCLyXAxGRB7MsX7RpBEGaNTe/evq6DU6erFR3kKIiG7Bu/+lJfJxRfYQ4c3DaA6TE8IAAMWVjbLWQUR0KwxGRB7MESKmJHh/MJoyMgwAUHyxkQs9EpHHYjAi8lBtnRZ8XWNb2NGxDpA3S4kORWCACk0d3ThXx4UeicgzMRgReagT1baFHYeHahGj18ldzm1Tq5RIG2ELeEWcZ0REHorBiMhDlVwyAQAmxRugUChkrmZwTLHPM+IEbCLyVAxGRB5KCkYjwuQtZBBJ84w4AZuIPBSDEZGHOnapEQAwyQfmFzlMtk8iLzea0dLRLXM1REQ3YzAi8kBN7V04d6UFgG0ozVfEGHSINehgFUBplUnucoiIbsJgROSBHKEhPiwQw0K0MlczuBzDaZxnRESeiMGIyAM55hf5wmX6N7q20CNvDUJEnofBiMgDldqDUVp8mLyFuIHj1iBFFxshBBd6JCLPwmBE5IEcE6/TR/hej9HEOANUSgWuNHXgsqld7nKIiJwwGBF5mPrmDly62gYAmOiDwShQo8KE2FAAttuDEBF5EgYjIg/jmHg9OjIYel2AzNW4x2RpoUfOMyIiz8JgRORhri3s6Hu9RQ6Om+JyoUci8jQMRkQepsSxsKMPrXh9o8n2S/ZLq0zosljlLYaI6DoMRkQexh96jJKGBSNUp0ZHtxXlxia5yyEikjAYEXkQo6kdtU0dUCkVSI3z3WCkVCqk4OcIgkREnoDBiMiDOC7TT44KQaBGJW8xbuYYKnQMHRIReQIGIyIPUuoHw2gO6fZgxAnYRORJGIyIPMgxP5h47eC43cnp2ma0dVpkroaIyIbBiMhDCCGkNYz8occoRq/D8FAtLFaB45c5z4iIPAODEZGHqGxoQ2NrFzQqJcbH6OUux+0UCoV0y5NjnIBNRB6CwYjIQziG0SbEhkKj9o9fTU7AJiJP4x//+hJ5AUc4SPODYTSHdPutQXjJPhF5CgYjIg9xbWHHMHkLGUKT4m0hsKKuBabWLpmrISJiMCLyCBarQJl94nW6HwWj8GANRkYEAQBKqhrlLYaICAxGRB7h3JVmtHRaEBigwpjhwXKXM6S4AjYReRIGIyIP4AgFE+P1UKv869fS0UN2jAs9EpEH8K9/gYk8VIkfLex4I07AJiJPwmBE5AGO+dGtQG40MV4PpQIwmttRY26Xuxwi8nMMRkQy67JYcaLaDMA/e4yCNGokR4UC4HAaEcmPwYhIZuXGJnR2WxGqU2PUsCC5y5EFJ2ATkadgMCKSWcl1w2gKhULmauQxyT7P6BhXwCYimTEYEcms1L5+jz8OozlMtv/spVUmCCHkLYaI/BqDEZHMjlU6Fnb0v4nXDikxodColGhs7cLFhla5yyEiP8ZgRCSj9i4LymuaAABpftxjpFErMSFODwAo5gRsIpIRgxGRjE5Um2GxCkSGaBBn0MldjqzSOQGbiDwAgxGRjErsvSNp8f478drBMceqhBOwiUhGDEZEMiqpclyRFiZvIR5gcoKtx6isyoxui1XmaojIXzEYEcnIMWyUnuC/E68dRkeGIESrRluXBWeuNMtdDhH5KQYjIpk0d3TjrD0ApMWHyVuMB1AqFZgYb5uAzRWwiUguDEZEMimrMkEIIM6gw/BQrdzleIR0+5DiMU7AJiKZMBgRycQxyZjzi65Jt6+AzQnYRCQXBiMimTh6RdL8eGHHGznumXaqugntXRaZqyEif8RgRCSTUsfEa/YYSeLDAjEsWINuq8CJarPc5RCRH2IwIpLB1ZZO6dYXafHsMXJQKBRSr1EJJ2ATkQwYjIhk4Fi/aNSwIBiCAmSuxrNcm2fECdhENPQYjIhkUMqJ171yBKNiTsAmIhkMKBht2LABo0aNgk6nQ2ZmJg4dOnTL9lu3bsX48eOh0+mQlpaGbdu2Oe0XQuDFF19EbGwsAgMDkZ2djdOnTzu1aWhowMKFC6HX6xEWFoalS5eiufnaInDt7e34zne+g7S0NKjVasyfP/+mOnbv3g2FQnHTw2g0DuQ0EA2YY+L1JE68voljztW5Ky0wt3fJWwwR+R2Xg9GHH36IlStXYu3atSgqKkJ6ejpycnJQW1vbY/sDBw5gwYIFWLp0KY4ePYr58+dj/vz5KCsrk9q8/PLLeOONN7Bx40YUFBQgODgYOTk5aG9vl9osXLgQx48fR15eHnJzc7F3714sW7ZM2m+xWBAYGIgf/ehHyM7OvuXPUF5ejurqaukRFRXl6mkgui28VL93EcEaJEQEArg2QZ2IaMgIF2VkZIjly5dL31ssFhEXFyfWrVvXY/vHHntMzJ0712lbZmamePrpp4UQQlitVhETEyNeeeUVaX9jY6PQarXigw8+EEIIceLECQFAHD58WGrz+eefC4VCIaqqqm56zcWLF4t58+bdtH3Xrl0CgLh69Wq/f94bmUwmAUCYTKYBPwf5N6OpTSS+kCuSVuWK5vYuucvxSD98v1AkvpArfrfztNylEJGP6O/nt0s9Rp2dnSgsLHTqkVEqlcjOzkZ+fn6Px+Tn59/Ug5OTkyO1r6iogNFodGpjMBiQmZkptcnPz0dYWBimT58utcnOzoZSqURBQYErPwIAYPLkyYiNjcWDDz6I/fv337JtR0cHzGaz04PodjgmFY+NCkGwVi1zNZ5psr0njQs9EtFQcykY1dXVwWKxIDo62ml7dHR0r/N0jEbjLds7vvbV5sbhLrVajYiICJfmB8XGxmLjxo346KOP8NFHHyEhIQH33XcfioqKej1m3bp1MBgM0iMhIaHfr0fUEw6j9c0xAftYJYfSiGho+dV/V1NSUpCSkiJ9P2PGDJw9exavvfYa3nvvvR6PWb16NVauXCl9bzabGY7otpRICzty4nVvJsbroVQARnM7asztiNbr5C6JiPyESz1GkZGRUKlUqKmpcdpeU1ODmJiYHo+JiYm5ZXvH177a3Di5u7u7Gw0NDb2+bn9lZGTgzJkzve7XarXQ6/VOD6KBEkJIPUZp7DHqVZBGjXHRoQCAY1zokYiGkEvBSKPRYNq0adixY4e0zWq1YseOHcjKyurxmKysLKf2AJCXlye1T0pKQkxMjFMbs9mMgoICqU1WVhYaGxtRWFgotdm5cyesVisyMzNd+RFuUlxcjNjY2Nt6DqL+unS1DVdbuxCgUmBCbKjc5Xg0x1IGxzjPiIiGkMtDaStXrsTixYsxffp0ZGRk4PXXX0dLSwuWLFkCAFi0aBHi4+Oxbt06AMBzzz2HWbNm4de//jXmzp2LzZs348iRI/jDH/4AwHYLgBUrVuBXv/oVkpOTkZSUhDVr1iAuLk5ai2jChAmYM2cOvve972Hjxo3o6urCM888gyeeeAJxcXFSbSdOnEBnZycaGhrQ1NSE4uJiALbJ1gDw+uuvIykpCampqWhvb8ef/vQn7Ny5E19++eVAzx+RSxzDaONj9NCqVTJX49nSE8Kw5cglroBNREPK5WD0+OOP48qVK3jxxRdhNBoxefJkbN++XZo8ffHiRSiV1zqiZsyYgb/+9a/42c9+hp/+9KdITk7GJ598gokTJ0ptnn/+ebS0tGDZsmVobGzEzJkzsX37duh01+YVvP/++3jmmWcwe/ZsKJVKPProo3jjjTecanv44Ydx4cIF6fspU6YAsA1fALar6n784x+jqqoKQUFBmDRpEr766ivcf//9rp4GogG5NozG+UV9cSz0eKyyEUIIKBQKeQsiIr+gEI7UQP1iNpthMBhgMpk434hc9sQf8nHwXANeejQNj985Uu5yPFqXxYqJa79AR7cVu35yH5Iig+UuiYi8WH8/v3mvNKIhYrUKlFXZ1sHipfp9C1ApkRpn+8eLE7CJaKgwGBENkXN1LWju6IYuQInkqBC5y/EK0g1lGYyIaIgwGBENEcf8otQ4A9Qq/ur1RzpXwCaiIcZ/nYmGiOPqqkmceN1vjh6j45fN6LJY5S2GiPwCgxHRELl2KxAGo/4aNSwIep0aHd1WlBub5C6HiPwAgxHREOiyWHH8Mideu0qhUFy7bxqH04hoCDAYEQ2BcmMTOrqtCNWqkTSMl5274vr1jIiI3I3BiGgISPOLEgxQKrlQoSscQ49cAZuIhgKDEdEQuDa/KEzWOrzRZPtQ2tc1TWjt7Ja3GCLyeQxGREPgmL23I50Tr10WpdchRq+DVUBaIJOIyF0YjIjcrK3Tgq9rbFdUOSYSk2vSE2yBkvOMiMjdGIyI3Oz4ZRMsVoHhoVrE6HV9H0A3kVbA5pVpRORmDEZEbnb9MBrvED8wXAGbiIYKgxGRmzk+zNM58XrA0uxzsyob2lDf3CFzNUTkyxiMiNzMMS9mEucXDZheF4DRw23rP5VU8bJ9InIfBiMiNzK1duF8fSsAYFI8r0i7HZO50CMRDQEGIyI3KqlqBAAkDgtCeLBG3mK8nHRrEAYjInIjBiMiN5JWvOb8ott2/QrYQgiZqyEiX8VgRORGxfbeDS7sePsmxOoRoFKgvqUTl662yV0OEfkoBiMiN+KtQAaPLkCF8TF6ALxvGhG5D4MRkZvUmNtRY+6AUgFMjNfLXY5PkFbA5npGROQmDEZEbuKYJDwuOhRBGrW8xfgIx1pQxZyATURuwmBE5CbHpGE0zi8aLI4r08qqbLdZISIabAxGRG7imAfDG8cOnrHDQxCqVaO104JyY5Pc5RCRD2IwInIDIcS1YMSJ14NGqVRIQfNo5VV5iyEin8RgROQGF+pbYWrrgkatREpMqNzl+JSpI8MAAEUXGmWtg4h8E4MRkRs45helxukRoOKv2WCaMjIcAHuMiMg9+C82kRscq+QwmrtMtg+lnbvSgsbWTnmLISKfw2BE5AYlvCLNbcKDNRgdGQwAOMrL9olokDEYEQ2yzm4rSqtsPUaTeUWaW0y2zzM6eoHDaUQ0uBiMiAbZKaMZHd1WGAIDkGTv2aDBNVWaZ9QobyFE5HMYjIgG2dGLjQCAKSPDoFAo5C3GR02x9xgVX2yElQs9EtEgYjAiGmRHL9qGd6YkhMtcie9KiQ5FkEaFpo5unLnSLHc5RORDGIyIBpnjPl6OXg0afGqVUprYXsR5RkQ0iBiMiAZRQ0snzte3AuCtQNxNmmdkH7okIhoMDEZEg6jYvujgmOHBMAQGyFyNb+NCj0TkDgxGRIPo2sRrzi9yN8dQ5enaZpjbu+Qthoh8BoMR0SC6/oo0cq/IEC1GRgRBCOAYL9snokHCYEQ0SCxWcW3iNa9IGxJTeENZIhpkDEZEg+TslWY0d3QjSKPCuOgQucvxC1M5z4iIBhmDEdEgcaxflBZvgFrFX62h4OgxOsqFHolokPBfb6JBwonXQ29CrB5atRKmti5U1LfIXQ4R+QAGI6JBwoUdh14AF3okokHGYEQ0CJo7ulFe0wQAmMKFHYfU1ERbD13RRQYjIrp9DEZEg6CkshFCAPFhgYjS6+Qux69MT4wAABw+z2BERLePwYhoEBzlMJpsptl7jM7UNqOhpVPmaojI2zEYEQ0CxxVpkzmMNuQigjUYG2VbHqGQ84yI6DYxGBHdJiEEinhFmqzuHGU770fON8hcCRF5OwYjott0rq4FDS2d0KiVmBivl7scv3RtnhGDERHdHgYjottUaJ/0mz7CAK1aJXM1/unOUbZgVFplQnuXReZqiMibMRgR3aYjF2y9FNPsvRY09BIiAhEVqkWXRaDkkknucojIizEYEd2mI/YJv9MTOb9ILgqFQuo14nAaEd0OBiOi29DQ0olzV2y3opjGYCQrx/nnBGwiuh0MRkS3wXF5+JjhwQgP1shcjX9z9BgduXCVN5QlogFjMCK6DY75RdM5v0h2E2JDEaRRoam9G1/XNsldDhF5KQYjotvguCJt2igOo8lNrVJiqn0dKd4ehIgGisGIaIA6ui0oqbJdAcWJ155hOhd6JKLbxGBENEBlVSZ0dlsxLFiDpMhgucshXDfPiD1GRDRADEZEA+T48J2aGA6FQiFzNQTY7lWnUipQ1diGy41tcpdDRF6IwYhogLh+kecJ1qqRGme7LcsR3lCWiAaAwYhoAIQQKHIEI0689iiOKwQPVdTLXAkReaMBBaMNGzZg1KhR0Ol0yMzMxKFDh27ZfuvWrRg/fjx0Oh3S0tKwbds2p/1CCLz44ouIjY1FYGAgsrOzcfr0aac2DQ0NWLhwIfR6PcLCwrB06VI0NzdL+9vb2/Gd73wHaWlpUKvVmD9/fo+17N69G1OnToVWq8XYsWOxadOmgZwC8nMVdS2ol24ca5C7HLpO5mhbMCo4xwnYROQ6l4PRhx9+iJUrV2Lt2rUoKipCeno6cnJyUFtb22P7AwcOYMGCBVi6dCmOHj2K+fPnY/78+SgrK5PavPzyy3jjjTewceNGFBQUIDg4GDk5OWhvb5faLFy4EMePH0deXh5yc3Oxd+9eLFu2TNpvsVgQGBiIH/3oR8jOzu6xloqKCsydOxf3338/iouLsWLFCjz11FP44osvXD0N5OccwzS8caznyUyKgEIBnK5tRl1zh9zlEJG3ES7KyMgQy5cvl763WCwiLi5OrFu3rsf2jz32mJg7d67TtszMTPH0008LIYSwWq0iJiZGvPLKK9L+xsZGodVqxQcffCCEEOLEiRMCgDh8+LDU5vPPPxcKhUJUVVXd9JqLFy8W8+bNu2n7888/L1JTU522Pf744yInJ6ePn/oak8kkAAiTydTvY8j3/HhLsUh8IVes//yk3KVQD3Je2yMSX8gVuccuy10KEXmI/n5+u9Rj1NnZicLCQqceGaVSiezsbOTn5/d4TH5+/k09ODk5OVL7iooKGI1GpzYGgwGZmZlSm/z8fISFhWH69OlSm+zsbCiVShQUFPS7/r5q6UlHRwfMZrPTg6jAPn8lM4krXnuiu0YPAwAcPMd5RkTkGpeCUV1dHSwWC6Kjo522R0dHw2g09niM0Wi8ZXvH177aREVFOe1Xq9WIiIjo9XVdqcVsNqOtredLe9etWweDwSA9EhIS+v165JsuN7ahsqENKqUC00cxGHkiBiMiGiheldaH1atXw2QySY/Kykq5SyKZOXqLJsbpEaJVy1wN9cTRk8d5RkTkKpeCUWRkJFQqFWpqapy219TUICYmpsdjYmJibtne8bWvNjdO7u7u7kZDQ0Ovr+tKLXq9HoGBgT0eo9VqodfrnR7k3xxXO2XaeyXI84QHazA+JhQAr04jIte4FIw0Gg2mTZuGHTt2SNusVit27NiBrKysHo/Jyspyag8AeXl5UvukpCTExMQ4tTGbzSgoKJDaZGVlobGxEYWFhVKbnTt3wmq1IjMzs9/191ULUX8UVNiDEecXeTQOpxHRQLg8lLZy5Ur88Y9/xJ///GecPHkSP/jBD9DS0oIlS5YAABYtWoTVq1dL7Z977jls374dv/71r3Hq1Cn8/Oc/x5EjR/DMM88AABQKBVasWIFf/epX+Mc//oHS0lIsWrQIcXFx0lpEEyZMwJw5c/C9730Phw4dwv79+/HMM8/giSeeQFxcnPRaJ06cQHFxMRoaGmAymVBcXIzi4mJp//e//32cO3cOzz//PE6dOoXf//732LJlC/7jP/5jIOeO/FCtuR0VdS1QKMD5RR6OwYiIBmQgl7y9+eabYuTIkUKj0YiMjAxx8OBBad+sWbPE4sWLndpv2bJFjBs3Tmg0GpGamio+++wzp/1Wq1WsWbNGREdHC61WK2bPni3Ky8ud2tTX14sFCxaIkJAQodfrxZIlS0RTU5NTm8TERAHgpsf1du3aJSZPniw0Go0YPXq0ePfdd1362Xm5vn/7tLhKJL6QKx7+7V65S6E+NDR3iMQXckXiC7niSlO73OUQkcz6+/mtEEIIGXOZ1zGbzTAYDDCZTJxv5If+6+NSvF9wEd+9OwkvPnKH3OVQH+a8vhenjE3Y8O9TMXdSrNzlEJGM+vv5zavSiFwgzS8azWE0b8DhNCJyFYMRUT/VNXfgTK3t/nwZnF/kFe6yB1gGIyLqLwYjon46ZO8tGh8TivBgjczVUH9kJNl6jE7XNuNKE9czIqK+MRgR9VOBvdchg5fpe42I69YzOnC2TuZqiMgbMBgR9dO19Yu4sKM3uSc5EgCw/wyDERH1jcGIqB+utnTilLEJAHuMvM3M5OEAgH2n68CLcImoLwxGRP2Qbx9GGxcdguGhWpmrIVdkjIqARqXEZZNtcU4iolthMCLqh332YZi7x0bKXAm5KlCjwrTEcADX/h6JiHrDYETUDwccwWgMg5E3mmmfZ/S/pxmMiOjWGIyI+nDpaivO17dCpVRwYUcvNdPe03fwbD26LVaZqyEiT8ZgRNSHA2ds84vSRxgQqguQuRoaiInxBhgCA9DU0Y1jl0xyl0NEHozBiKgP+89yfpG3UykVmDHGtswCL9snolthMCK6BSEEDpy19RjN4Pwir+aYZ7SP84yI6BYYjIhuwXErCV2AElMTw+Quh26DY55R0cWraOnolrkaIvJUDEZEt+DoXbhzVAS0apXM1dDtSBwWjISIQHRbBQoqeFNZIuoZgxHRLRzg/CKfMnOsbRVsXrZPRL1hMCLqRbfFioPnbPdHm8lg5BMc903b+/UVmSshIk/FYETUi2OXGtHc0Y2woADcEauXuxwaBHePjYRKqcDZKy2obGiVuxwi8kAMRkS92PO1bbhl5thIKJUKmauhwWAIDMC0kbbbg+wur5W5GiLyRAxGRL3YY//gnDVuuMyV0GC6b7zt73N3OYfTiOhmDEZEPahv7kBJlW2FZAYj33J/ShQA28Kd7V0WmashIk/DYETUg31n6iAEMCFWjyi9Tu5yaBCNjwlFjF6H9i4rCioa5C6HiDwMgxFRDxzDLOwt8j0KhQL3pdj+Xned4jwjInLGYER0A6tVSJdzOz5AybfcZx9O28PL9onoBgxGRDc4ftmM+pZOhGjVmGq/gol8y91jhyFApUBFXQsq6lrkLoeIPAiDEdEN9nxtG16ZMWYYNGr+iviiUF0A7hwVAYCX7RORM/6rT3QDaX4Rh9F8mjTPiJftE9F1GIyIrmNq7ULRxasAOPHa1zku2z94th7NHd0yV0NEnoLBiOg6+87UwSqAsVEhGBEeJHc55EZjo0IwalgQOi1W3juNiCQMRkTX2XGyBgBwH3uLfJ5CocCDd0QDAPJO1MhcDRF5CgYjIrtuixU77RNxHR+Y5NseSo0BYAvEXRarzNUQkSdgMCKyK7xwFY2tXQgLCsC0RF6m7w+mjgzHsGANzO3dOMxVsIkIDEZEkq/sw2gPpERBreKvhj9QKRWYPcE2CftLDqcRERiMiAAAQghpnkk2h9H8yoN32IbT8k7UQAghczVEJDcGIyIAZ6+04Hx9KzQqJe7lxGu/ck9yJAIDVKhqbMOJarPc5RCRzBiMiHBtGO2uMcMQolXLXA0NJV2ACvckRwIAvjzO4TQif8dgRATgK/sw2oP2+SbkXxxXp/GyfSJiMCK/V9/cIa12PXsC5xf5o9njo6BUACeqzbhY3yp3OUQkIwYj8nu7yq/AKoDUOD3iwgLlLodkEB6sQdaYYQCAbWXVMldDRHJiMCK/t93+QZjN3iK/NjctDgDwWQmDEZE/YzAiv9bU3oW9X9cBAB5Oi5W5GpJTTmo0VEoFSqtMuFDfInc5RCQTBiPyaztO1qLTYsWY4cEYFx0idzkko2EhWsywD6d9VspeIyJ/xWBEfm2b/QPw4bRYKBQKmashuc219xpyOI3IfzEYkd9q7ujG7q+vAOAwGtnkpMZApVTg+GUzKuo4nEbkjxiMyG/tPFWLzm4rkiKDMT4mVO5yyAOEB2tw91jbYo/bOJxG5JcYjMhvbStxDKPFcBiNJN+09x7mcjiNyC8xGJFfaunoxq7yWgDANyZyGI2ueSg1GmqlAierzThT2yx3OUQ0xBiMyC/tKq9FR7cVIyOCkBqnl7sc8iBhQRrp3mmfFlfJXA0RDTUGI/JLvBqNbuVfp44AAPy9qApWq5C5GiIaSgxG5HfM7V346qRtGO2bkziMRjd78I5ohGrVqGpsw+HzDXKXQ0RDiMGI/M72UiM6u61IjgrhMBr1SBegwjfSYgAAHx/lcBqRP2EwIr/ziX3eyPwp8RxGo145htM+K6lGe5dF5mqIaKgwGJFfMZrakX+uHgDwL+lxMldDnixjVATiwwLR1NGNr07WyF0OEQ0RBiPyK/84VgUhgDtHhSMhIkjucsiDKZUKfGtKPADbJGwi8g8MRuRXPj56GYBtGI2oL9+aanuf7Pn6CuqaO2SuhoiGAoMR+Y2va5pwstqMAJVCulko0a2MGR6C9BEGWKwCn3ASNpFfYDAiv/FR4SUAwKxxUQgL0shcDXmLf5ueAADYfLgSQnBNIyJfx2BEfqHLYsVHRbZg9Nj0ETJXQ95k3uQ4BAaocKa2GUcuXJW7HCJyMwYj8gs7T9WirrkTkSFa3D8+Su5yyIuE6gKkKxg/KLgoczVE5G4MRuQXthyuBAA8OjUeASq+7ck1CzJHAgByS6vR2NopczVE5E78hCCfV2Nux65y2y1AHPNFiFyRPsKACbF6dHZbuRI2kY8bUDDasGEDRo0aBZ1Oh8zMTBw6dOiW7bdu3Yrx48dDp9MhLS0N27Ztc9ovhMCLL76I2NhYBAYGIjs7G6dPn3Zq09DQgIULF0Kv1yMsLAxLly5Fc3OzU5uSkhLcc8890Ol0SEhIwMsvv+y0f9OmTVAoFE4PnU43kFNAXuSjokuwCmB6YjjGRoXIXQ55IYVCgX/PsIXqDw5d5CRsIh/mcjD68MMPsXLlSqxduxZFRUVIT09HTk4Oamtre2x/4MABLFiwAEuXLsXRo0cxf/58zJ8/H2VlZVKbl19+GW+88QY2btyIgoICBAcHIycnB+3t7VKbhQsX4vjx48jLy0Nubi727t2LZcuWSfvNZjMeeughJCYmorCwEK+88gp+/vOf4w9/+INTPXq9HtXV1dLjwoULrp4C8iJCCGw94ph0zd4iGrh5U+KhC1Di65pmFF1slLscInIX4aKMjAyxfPly6XuLxSLi4uLEunXremz/2GOPiblz5zpty8zMFE8//bQQQgir1SpiYmLEK6+8Iu1vbGwUWq1WfPDBB0IIIU6cOCEAiMOHD0ttPv/8c6FQKERVVZUQQojf//73Ijw8XHR0dEhtXnjhBZGSkiJ9/+677wqDweDqj+zEZDIJAMJkMt3W89DQ2H/6ikh8IVfcseZz0dzeJXc55OV+vKVYJL6QK1ZsPip3KUTkov5+frvUY9TZ2YnCwkJkZ2dL25RKJbKzs5Gfn9/jMfn5+U7tASAnJ0dqX1FRAaPR6NTGYDAgMzNTapOfn4+wsDBMnz5dapOdnQ2lUomCggKpzb333guNRuP0OuXl5bh69dolts3NzUhMTERCQgLmzZuH48eP3/Jn7ujogNlsdnqQ9/iffFuP4LemxiNYq5a5GvJ2i7ISAQC5JZdRa27vozUReSOXglFdXR0sFguio6OdtkdHR8NoNPZ4jNFovGV7x9e+2kRFOV9irVarERER4dSmp+e4/jVSUlLwzjvv4NNPP8Vf/vIXWK1WzJgxA5cuXer1Z163bh0MBoP0SEjgcIy3qDa1Ic9+889FWaPkLYZ8wqQRYZieGI4ui8BfDnIYnsgX+dVVaVlZWVi0aBEmT56MWbNm4e9//zuGDx+Ot99+u9djVq9eDZPJJD0qKyuHsGK6HR8UXITFKpCZFIFx0aFyl0M+YsndSQCA9wsuor3LInM1RDTYXApGkZGRUKlUqKmpcdpeU1ODmJiYHo+JiYm5ZXvH177a3Di5u7u7Gw0NDU5tenqO61/jRgEBAZgyZQrOnDnT8w8MQKvVQq/XOz3I83V2W/HXQ7YQ+6R9+INoMOSkRiPOoEN9Syf+ceyy3OUQ0SBzKRhpNBpMmzYNO3bskLZZrVbs2LEDWVlZPR6TlZXl1B4A8vLypPZJSUmIiYlxamM2m1FQUCC1ycrKQmNjIwoLC6U2O3fuhNVqRWZmptRm79696OrqcnqdlJQUhIeH91ibxWJBaWkpYmN5Q1Ffs/24EXXNHYgK1SIntedgTDQQapUSi2aMAgC8s6+Cl+4T+RpXZ3Vv3rxZaLVasWnTJnHixAmxbNkyERYWJoxGoxBCiCeffFKsWrVKar9//36hVqvFq6++Kk6ePCnWrl0rAgICRGlpqdRm/fr1IiwsTHz66aeipKREzJs3TyQlJYm2tjapzZw5c8SUKVNEQUGB2Ldvn0hOThYLFiyQ9jc2Noro6Gjx5JNPirKyMrF582YRFBQk3n77banNL37xC/HFF1+Is2fPisLCQvHEE08InU4njh8/3u+fn1eleYdHf79fJL6QK37zZbncpZAPutrSIVJ+tk0kvpArDpypk7scIuqH/n5+uxyMhBDizTffFCNHjhQajUZkZGSIgwcPSvtmzZolFi9e7NR+y5YtYty4cUKj0YjU1FTx2WefOe23Wq1izZo1Ijo6Wmi1WjF79mxRXu78gVZfXy8WLFggQkJChF6vF0uWLBFNTU1ObY4dOyZmzpwptFqtiI+PF+vXr3fav2LFCqnu6Oho8fDDD4uioiKXfnYGI89XeKFBJL6QK8b+9DNhNLX1fQDRAPz07yUi8YVcsXTTIblLIaJ+6O/nt0II9gO7wmw2w2AwwGQycb6Rh/rh+4XYVmrEt6eNwKv/li53OeSjzl5pRvZv9kAI4IsV9yIlhhP8iTxZfz+//eqqNPJ9F+pbsL3MtjzD9+4ZLXM15MvGDA/BHPv8tbd2934BBxF5FwYj8inv7KuAVQCzxg3n/+DJ7X5431gAwD9LqnGxvlXmaohoMDAYkc9obO3EFvt90Zbdy94icr+0EQbckxwJi1Xg7b1n5S6HiAYBgxH5jPfyL6Cty4I7YvWYMWaY3OWQn1h+v63XaGvhJdQ28TYhRN6OwYh8QnNHN/57fwUA4OlZo6FQKGSuiPxFZlIEpo4MQ2e3FRt3n5O7HCK6TQxG5BPey7+AxtYujI4MxjcnxcldDvkRhUKBFdnjAAB/KbgAo4m9RkTejMGIvF5rZzf++L+2/6k/88BYqJTsLaKhdU9yJDJGRaCz24oNu3iFGpE3YzAir/f+wYtoaOlE4rAg/Es6e4to6CkUCvz4IVuv0ebDF1HZwCvUiLwVgxF5tbZOC97ea+stWn7/WKhVfEuTPDJHD8PMsZHosgi8ufO03OUQ0QDxU4S82qYD51HX3IER4YH41pR4ucshP7fS3mv0UVEVztQ2y1wNEQ0EgxF5LVNrl7Ti8MoHxyGAvUUks6kjw/HgHdGwWAXWbTspdzlENAD8JCGv9fs9Z2Bu78b4mFDMm8zeIvIMq78xHmqlAjtO1eLAmTq5yyEiFzEYkVeqNrVh0/7zAIDn56TwSjTyGKOHh+D/3JUIAPjVZydhsfI+3UTehMGIvNLreafR0W1FRlIE7k+JkrscIifPzU6GXqfGiWozPiq6JHc5ROQCBiPyOmVVJmwprAQAvDBnPFe5Jo8THqzBsw8kAwBe+aIc5vYumSsiov5iMCKvIoTAL/55HEIAj6THYVpiuNwlEfVo0YxEjI4MxpWmDvzmy6/lLoeI+onBiLzKP45dxuHzVxEYoMLqb4yXuxyiXmnVKvx/8yYCAP4n/zzKqkwyV0RE/cFgRF6jpaMb67adAgD88L4xiAsLlLkiolubmRyJR9LjYBXAzz4pg5UTsYk8HoMReY3f7ToDo7kdCRGB+N69o+Uuh6hffjZ3AkK0ahRXNuKvhy7KXQ4R9YHBiLzCictm/NF+6481c++ALkAlc0VE/ROt10n3UVv/+SlUNbbJXBER3QqDEXk8i1Vg1d9L0G0VmJMag4dSY+Quicgli7JGYVpiOJo7urHqoxIIwSE1Ik/FYEQe7939FSi5ZEKoTo1fzEuVuxwil6mUCrzy7UnQqpX439N12HKkUu6SiKgXDEbk0S7Wt+LX9kudf/rwBETrdTJXRDQwo4eH4D9zUgAAv8o9iUtXW2WuiIh6wmBEHstiFVi5pRhtXRZkJkXg8ekJcpdEdFuW3J2EaYnhaOroxnObi9FtscpdEhHdgMGIPNbGPWdx5MJVhGjVePXf0qHk/dDIy6mUCrz++GSEatUovHAVr391Wu6SiOgGDEbkkcqqTHgtzzaEtvaRO5AQESRzRUSDIyEiCOseTQMAbNh9BgfO1MlcERFdj8GIPE5LRzee23xUugrt29NGyF0S0aD65qQ4PHFnAoQAVnxYjLrmDrlLIiI7BiPyKEII/PTjUpy90oKoUC3+37+m8Sax5JPWPpKKsVEhqG3qwPL3i9DF+UZEHoHBiDzKXwou4tPiy1ApFfjdv09FRLBG7pKI3CJQo8JbC6ciWKNCQUUDfpV7Qu6SiAgMRuRBjlU24pf/tH04rJozHhlJETJXROReydGheO3xyQCAP+dfwIeHecsQIrkxGJFHqDG34+n3CtFpsWJOagyeuidJ7pKIhsRDqTH4j2zbLUN+9kkZjpxvkLkiIv/GYESya+u04Kk/H4HR3I6xUSF4+d8mcV4R+ZVnHxiLOakx6LIIPPU/R3Cmtknukoj8FoMRycpqX8SxtMqE8KAAvLP4Tuh1AXKXRTSklEoFfvN4OtITwtDY2oXF7xyG0dQud1lEfonBiGQjhMD/23YSn5cZoVEp8YdF0zFyGNcrIv8UpFHj3e/cidHDg1HV2IbF7xyCqa1L7rKI/A6DEcnm97vP4k/7KgAA6x9Nw52jONma/FtEsAb/890MRIVqUV7ThCXvHkJTO8MR0VBiMCJZvHfwAl75ohwA8LO5E/CvU7mIIxEAjAgPwp+/mwFDYACKLjZi8TsMR0RDicGIhtyHhy/ixU/LANgmnT51z2iZKyLyLBNi9Xj/qUyGIyIZMBjRkHov/zxe+KgUQgCLsxKx8sFxcpdE5JEmxhucwtH/+VMB6nnrECK3YzCiIfPf+yqw5tPjAIClM5Pw839J5WX5RLfgCEdhQQE4dsmEb2/MR2VDq9xlEfk0BiNyOyEEfv1lOX5pv+XBD+4bg5/NncBQRNQPE+MN+Nv3ZyA+LBAVdS341u8PoKzKJHdZRD6LwYjcqqPbghUfFuPNnWcAACuyk/F8TgpDEZELxkaF4O8/nIHxMaGoa+7AY2/nY3tZtdxlEfkkBiNym8bWTiz670P4tPgy1EoFXn50ElZkj2MoIhqAaL0OW76fhbvHDkNrpwXf/0sRXv2iHFarkLs0Ip/CYERuUXrJhLlv7ENBRQNCtWq8u+ROPHZngtxlEXk1vS4Af16SgaUzbfcS/N2uM1j658NoaOmUuTIi38FgRINu86GLeHTjAVQ1tiFxWBC2/iAL9yQPl7ssIp+gVimx5pt34LXH06FVK7Gr/Aq+8du9OHCmTu7SiHwCgxENGlNbF/7jw2Ks+nspOrutyJ4QjX88MxPjY/Ryl0bkc741ZQT+/sMZGD08GDXmDiz87wKs//wUOrotcpdG5NUUQggOULvAbDbDYDDAZDJBr+cHvsP+M3X4ydZjqDa1Q6kAfpKTgu/fOwZKJecTEblTa2c3fpl7Ah8cqgQAJEeFYP2jaZiWyFvsEF2vv5/fDEYuYjByZmrrwqtflOO9gxcAAKOGBeHXj03GtMRwmSsj8i+fl1bjZ5+Uob6lEwoF8ORdifjPnBSE6gLkLo3IIzAYuQmDkY0QAp8WX8avPjuJOvtqvAszR+K/5k5AkEYtc3VE/ulqSyf+77aT+FvhJQBAVKgWP8lJwaNTR0DF3lvycwxGbsJgBJy4bMYvc08g/1w9AGD08GD8ct5E3D02UubKiAiwDW3/9ONSXKi3rZJ9R6weP/vmBMwYw99R8l8MRm7iz8HoYn0rfp1Xjk+LLwMAtGolfjQ7GU/dkwStWiVzdUR0vY5uC/7nwAW8sfM0mtq7AQD3JEdiRXYy5x+RX2IwchN/DEaVDa34w95z2Hz4IrostrfLI+lxeD4nBQkRQTJXR0S30tDSid9+9TX+UnARFvtikDPHRuLZB8YiIymCC66S32AwchN/CkYnq814e89Z/LOkWvoH9d5xw/F8Tgomxhtkro6IXFHZ0IoNu87gb4WX0G3/fU6LN+A7M0bhm+mx7PUln8dg5Ca+Hoy6LFbknajB+wUXsP9MvbT9nuRI/PC+scgaM0zG6ojodlU2tOKtPWfxUeEldHRbAQCRIRr8e8ZIfHtaAkYOYy8w+SYGIzfx1WB0ob4FW49cwodHKnGlyXaVmVIBfCMtFj+YNYY9REQ+pqGlEx8cuoj38i/AaG6XtmckReDb00bg4bRYhGh5hSn5DgYjN/GlYGQ0tSO35DL+eewyjl0ySduHh2rx+PQEPJGRgBHh/N8jkS/rsljxxXEjPjxciX1n6uD4RNAFKDFr3HDMmRiDB8ZHwxDI9ZDIuzEYuYk3ByMhBMprmrDjZC12nqpF0cWr0j+CKqUCd4+NxII7E5B9RzQCVLxbDJG/udzYho+PVuGjwks4V9cibVcrFZgxNhKzx0dhZnIkRkcGc9I2eR0GIzfxtmB0pakDBRX1yD9bj93lV1DV2Oa0f3piOP5lchweTotFZIhWpiqJyJMIIXD8shlfHDdie5kRp2ubnfbHGXSYmRyJmcnDcdfoCESF6mSqlKj/GIzcxJODkdUqcKGhFccqG3HofAMOnqvHuSstTm20aiVmjo3E/eOj8MD4KMSFBcpULRF5i7NXmvHl8Rrs/foKCi9cRafF6rQ/PiwQ0xLDMXVkGKYmhmNCrJ69zuRxGIzcxFOCUZfFigv1rSg3NqGkqhGll0worTJJC7k5KBTA+Bg97hodgXuSI5E1OhKBGl6WS0QD09ZpwaHzDdh3+gr2nanHKaMZN36KaNRKJEeFYEKs3vaICcWEWD3CgzXyFE0EBiO3GcpgJISAqa0Ll6624VxdC87UNOHMlWacrmnG+foWabHF62nVSkyI1WPqyHDcNToCGUkRCAviP0ZE5B5N7V04VmlC0cWrKLp4FUcvNsLU1tVj28gQLUZHBmNUZBBGRQYjaVgwRkUGY9SwYP6HjdzOrcFow4YNeOWVV2A0GpGeno4333wTGRkZvbbfunUr1qxZg/PnzyM5ORkvvfQSHn74YWm/EAJr167FH//4RzQ2NuLuu+/GW2+9heTkZKlNQ0MDnn32Wfzzn/+EUqnEo48+it/+9rcICQmR2pSUlGD58uU4fPgwhg8fjmeffRbPP/+8S7X0xV3BaHd5Lc7UNuPS1Tb7oxWXrrahuaO712OCNCokR4VgYrwBk0YYkBYfhuToEHZhE5FsrFaByqutOFndhJPVZpwymnHK2CTdt603EcEaxBp0iDUE2r6G6RBn//PwUC2GhWih16k56ZsGrL+f3y4vUvHhhx9i5cqV2LhxIzIzM/H6668jJycH5eXliIqKuqn9gQMHsGDBAqxbtw7f/OY38de//hXz589HUVERJk6cCAB4+eWX8cYbb+DPf/4zkpKSsGbNGuTk5ODEiRPQ6WyT+hYuXIjq6mrk5eWhq6sLS5YswbJly/DXv/5V+oEfeughZGdnY+PGjSgtLcV3v/tdhIWFYdmyZf2uRS6vflmOsipzj/siQ7RIHBaE5KgQjI0KQXJ0KMZGhSBWr4OSd8wmIg+iVCqQOCwYicOCMWdijLS9uaMb5640o6KuBefrWnG+vgXn6lpwvq4FprYuNLR0oqGlE8cv9/zvIAAEqBQYFqzFsBANhoVoERmswbAQDcKCNAjVqaHXBUAf6PgaIH0fGKBioKJ+c7nHKDMzE3feeSd+97vfAQCsVisSEhLw7LPPYtWqVTe1f/zxx9HS0oLc3Fxp21133YXJkydj48aNEEIgLi4OP/7xj/GTn/wEAGAymRAdHY1NmzbhiSeewMmTJ3HHHXfg8OHDmD59OgBg+/btePjhh3Hp0iXExcXhrbfewn/913/BaDRCo7ENHa1atQqffPIJTp061a9a+sNdPUbrPz+FyoZWjAgPxIiIIIwID0RCeBDiwwLZxUxEPs3U2oXLpjZUm9pwubEd1aY2VDe247KpDUZTO+qbO9F0i97zvqiUCoRo1QjSqBCoUSFIo0JQgBo6jQpBASppe6D0ZzV0AUoEqJTQqJXQqu1/tn9/03a1Y7sCGpUSKqUCaqUSSiVsXxVgMPMAbukx6uzsRGFhIVavXi1tUyqVyM7ORn5+fo/H5OfnY+XKlU7bcnJy8MknnwAAKioqYDQakZ2dLe03GAzIzMxEfn4+nnjiCeTn5yMsLEwKRQCQnZ0NpVKJgoICfOtb30J+fj7uvfdeKRQ5Xuell17C1atXER4e3mctclr1jfFyl0BEJAtDUAAMQQGYENv7h1V7lwUNLZ2ob+5EXUsH6ps7Ud/cgbrmDpjbumFu74K5vQtN7d0wt3XBbP/abRWwWG3zNXub+zQUVEoFVAqF7euND/t2tarnNgrYgpVCASgVju/t22Dfprj29dp2259tAwsK+/c9tbN/b/8zFIACtm22I+1fpe8Vzt9Lme9a+Ov3sdJ+5+C4dGaSbDcpdykY1dXVwWKxIDo62ml7dHS01CtzI6PR2GN7o9Eo7Xdsu1WbG4fp1Go1IiIinNokJSXd9ByOfeHh4X3W0pOOjg50dHRI35vNvXfzEhGRe+gCVIgLC3RpiREhBNq6LGhq70ZTexfaOq1o7exGa5cFbZ0WtHZa0NbZjbYux59tX1s7LejotqDLYkVntxWdFiu6ugU67N9L26//s8X26G0MxmIVsEAAlkE6IT5u3uQ47whG/mjdunX4xS9+IXcZRETkIoVCgSCNGkEaNaL17l+EUggh9VBZ7X+2Wq9tu/5x0zYhYLFaYbEC3Var0z4hAGF/fqsAANtXIQCrENI+WzsBq9XW3mo/0NHGKpyfSzre/hU3tLH9TPav9i03Bj/HbJzrt/d1rNTUcazT89m+DsXfV29cCkaRkZFQqVSoqalx2l5TU4OYmJgej4mJiblle8fXmpoaxMbGOrWZPHmy1Ka2ttbpObq7u9HQ0OD0PD29zvWv0VctPVm9erXT8JvZbEZCQkKv7YmIyD8pFAoEqBQI4LRQr+bSdd0ajQbTpk3Djh07pG1WqxU7duxAVlZWj8dkZWU5tQeAvLw8qX1SUhJiYmKc2pjNZhQUFEhtsrKy0NjYiMLCQqnNzp07YbVakZmZKbXZu3cvurq6nF4nJSUF4eHh/aqlJ1qtFnq93ulBREREPkq4aPPmzUKr1YpNmzaJEydOiGXLlomwsDBhNBqFEEI8+eSTYtWqVVL7/fv3C7VaLV599VVx8uRJsXbtWhEQECBKS0ulNuvXrxdhYWHi008/FSUlJWLevHkiKSlJtLW1SW3mzJkjpkyZIgoKCsS+fftEcnKyWLBggbS/sbFRREdHiyeffFKUlZWJzZs3i6CgIPH222+7VEtfTCaTACBMJpOrp46IiIhk0t/Pb5eDkRBCvPnmm2LkyJFCo9GIjIwMcfDgQWnfrFmzxOLFi53ab9myRYwbN05oNBqRmpoqPvvsM6f9VqtVrFmzRkRHRwutVitmz54tysvLndrU19eLBQsWiJCQEKHX68WSJUtEU1OTU5tjx46JmTNnCq1WK+Lj48X69etvqr2vWvrCYEREROR9+vv5zVuCuMhT7pVGRERE/dffz2/eO4KIiIjIjsGIiIiIyI7BiIiIiMiOwYiIiIjIjsGIiIiIyI7BiIiIiMiOwYiIiIjIjsGIiIiIyI7BiIiIiMhOLXcB3saxULjZbJa5EiIiIuovx+d2Xzf8YDByUVNTEwAgISFB5kqIiIjIVU1NTTAYDL3u573SXGS1WnH58mWEhoZCoVAM2vOazWYkJCSgsrKS92DrA8+Va3i++o/nqv94rvqP56r/3HmuhBBoampCXFwclMreZxKxx8hFSqUSI0aMcNvz6/V6/uL0E8+Va3i++o/nqv94rvqP56r/3HWubtVT5MDJ10RERER2DEZEREREdgxGHkKr1WLt2rXQarVyl+LxeK5cw/PVfzxX/cdz1X88V/3nCeeKk6+JiIiI7NhjRERERGTHYERERERkx2BEREREZMdgRERERGTHYDRE9u7di0ceeQRxcXFQKBT45JNP+jxm9+7dmDp1KrRaLcaOHYtNmza5vU5P4Oq52r17NxQKxU0Po9E4NAXLaN26dbjzzjsRGhqKqKgozJ8/H+Xl5X0et3XrVowfPx46nQ5paWnYtm3bEFQrr4Gcq02bNt30vtLpdENUsXzeeustTJo0SVpkLysrC59//vktj/HH9xTg+rny1/dUT9avXw+FQoEVK1bcst1Qv7cYjIZIS0sL0tPTsWHDhn61r6iowNy5c3H//fejuLgYK1aswFNPPYUvvvjCzZXKz9Vz5VBeXo7q6mrpERUV5aYKPceePXuwfPlyHDx4EHl5eejq6sJDDz2ElpaWXo85cOAAFixYgKVLl+Lo0aOYP38+5s+fj7KysiGsfOgN5FwBthV4r39fXbhwYYgqls+IESOwfv16FBYW4siRI3jggQcwb948HD9+vMf2/vqeAlw/V4B/vqdudPjwYbz99tuYNGnSLdvJ8t4SNOQAiI8//viWbZ5//nmRmprqtO3xxx8XOTk5bqzM8/TnXO3atUsAEFevXh2SmjxZbW2tACD27NnTa5vHHntMzJ0712lbZmamePrpp91dnkfpz7l69913hcFgGLqiPFh4eLj405/+1OM+vqec3epc8T0lRFNTk0hOThZ5eXli1qxZ4rnnnuu1rRzvLfYYeaj8/HxkZ2c7bcvJyUF+fr5MFXm+yZMnIzY2Fg8++CD2798vdzmyMJlMAICIiIhe2/C9ZdOfcwUAzc3NSExMREJCQp89Ab7IYrFg8+bNaGlpQVZWVo9t+J6y6c+5AvieWr58OebOnXvTe6Yncry3eBNZD2U0GhEdHe20LTo6GmazGW1tbQgMDJSpMs8TGxuLjRs3Yvr06ejo6MCf/vQn3HfffSgoKMDUqVPlLm/IWK1WrFixAnfffTcmTpzYa7ve3lv+MCfLob/nKiUlBe+88w4mTZoEk8mEV199FTNmzMDx48fdejNpT1BaWoqsrCy0t7cjJCQEH3/8Me64444e2/r7e8qVc+XP7ykA2Lx5M4qKinD48OF+tZfjvcVgRF4vJSUFKSkp0vczZszA2bNn8dprr+G9996TsbKhtXz5cpSVlWHfvn1yl+Lx+nuusrKynP7nP2PGDEyYMAFvv/02fvnLX7q7TFmlpKSguLgYJpMJf/vb37B48WLs2bOn1w98f+bKufLn91RlZSWee+455OXlefSEcwYjDxUTE4OamhqnbTU1NdDr9ewt6oeMjAy/CgjPPPMMcnNzsXfv3j7/19nbeysmJsadJXoMV87VjQICAjBlyhScOXPGTdV5Do1Gg7FjxwIApk2bhsOHD+O3v/0t3n777Zva+vt7ypVzdSN/ek8VFhaitrbWqSffYrFg7969+N3vfoeOjg6oVCqnY+R4b3GOkYfKysrCjh07nLbl5eXdctyarikuLkZsbKzcZbidEALPPPMMPv74Y+zcuRNJSUl9HuOv762BnKsbWSwWlJaW+sV760ZWqxUdHR097vPX91RvbnWubuRP76nZs2ejtLQUxcXF0mP69OlYuHAhiouLbwpFgEzvLbdN6yYnTU1N4ujRo+Lo0aMCgPjNb34jjh49Ki5cuCCEEGLVqlXiySeflNqfO3dOBAUFif/8z/8UJ0+eFBs2bBAqlUps375drh9hyLh6rl577TXxySefiNOnT4vS0lLx3HPPCaVSKb766iu5foQh84Mf/EAYDAaxe/duUV1dLT1aW1ulNk8++aRYtWqV9P3+/fuFWq0Wr776qjh58qRYu3atCAgIEKWlpXL8CENmIOfqF7/4hfjiiy/E2bNnRWFhoXjiiSeETqcTx48fl+NHGDKrVq0Se/bsERUVFaKkpESsWrVKKBQK8eWXXwoh+J66nqvnyl/fU7258ao0T3hvMRgNEccl5Tc+Fi9eLIQQYvHixWLWrFk3HTN58mSh0WjE6NGjxbvvvjvkdcvB1XP10ksviTFjxgidTiciIiLEfffdJ3bu3ClP8UOsp/MEwOm9MmvWLOncOWzZskWMGzdOaDQakZqaKj777LOhLVwGAzlXK1asECNHjhQajUZER0eLhx9+WBQVFQ198UPsu9/9rkhMTBQajUYMHz5czJ49W/qgF4Lvqeu5eq789T3VmxuDkSe8txRCCOG+/igiIiIi78E5RkRERER2DEZEREREdgxGRERERHYMRkRERER2DEZEREREdgxGRERERHYMRkRERER2DEZEREREdgxGRERERHYMRkRERER2DEZEREREdgxGRERERHb/Py8XDnK1DYpoAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.9265275176765189\n", "0.9264600122168808\n" ] } ], "source": [ "p1 = np.array([-11.68319035, 5.68708926])\n", "p2 = np.array([-11.68387205, 5.68696545])\n", "\n", "x = np.linspace(1,4,1000)\n", "\n", "def logit(x,p): return 1/(1 + np.exp(-p[0] - p[1]*x))\n", "\n", "plt.plot(x, logit(x, p1), label = \"1\")\n", "plt.plot(x, logit(x, p2), label = \"2\")\n", "plt.legend()\n", "plt.show()\n", "\n", "plt.plot(x, logit(x, p1)-logit(x, p2), label = \"1\")\n", "plt.show()\n", "\n", "print(logit(2.5, p1))\n", "print(logit(2.5, p2))" ] }, { "cell_type": "markdown", "id": "e66de4c4", "metadata": {}, "source": [ "#to chech the CI of the parameters" ] } ], "metadata": { "kernelspec": { "display_name": "base", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }