diff --git a/docs/Machine Learning/Multiple Regression Visualized/Weight and bias in Multiple Regression.md b/docs/Machine Learning/Multiple Regression Visualized/Weight and bias in Multiple Regression.md
new file mode 100644
index 000000000..bfd6eb808
--- /dev/null
+++ b/docs/Machine Learning/Multiple Regression Visualized/Weight and bias in Multiple Regression.md
@@ -0,0 +1,69 @@
+# Bias and Weight Visualization in Multiple Regression
+
+## Introduction
+
+Multiple regression is a fundamental technique in machine learning used to model the relationship between multiple independent variables and a dependent variable. Visualizing the bias and weights in multiple regression can provide insights into the model's behavior and the importance of different features.
+
+## Multiple Regression Model
+
+In multiple regression, we model the relationship as:
+
+$$ y = \beta_0 + \beta_1x_1 + \beta_2x_2 + ... + \beta_nx_n + \epsilon $$
+
+Where:
+- $y$ is the dependent variable
+- $x_1, x_2, ..., x_n$ are independent variables
+- $\beta_0$ is the bias (intercept)
+- $\beta_1, \beta_2, ..., \beta_n$ are the weights (coefficients)
+- $\epsilon$ is the error term
+
+## Mathematical Interpretation
+
+### Bias ($\beta_0$)
+
+The bias represents the expected value of $y$ when all $x_i = 0$. It shifts the entire prediction surface up or down.
+
+### Weights ($\beta_i$)
+
+Each weight $\beta_i$ represents the expected change in $y$ for a one-unit increase in $x_i$, holding all other variables constant:
+
+$$\frac{\partial y}{\partial x_i} = \beta_i$$
+
+## Regularization Effects
+
+Regularization techniques like Lasso (L1) and Ridge (L2) affect weight visualization:
+
+### Lasso Regularization
+
+Lasso tends to push some weights to exactly zero, resulting in sparse models:
+
+$$\min_{\beta} \left\{ \sum_{i=1}^n (y_i - \beta_0 - \sum_{j=1}^p \beta_j x_{ij})^2 + \lambda \sum_{j=1}^p |\beta_j| \right\}$$
+
+### Ridge Regularization
+
+Ridge shrinks weights towards zero but rarely sets them exactly to zero:
+
+$$\min_{\beta} \left\{ \sum_{i=1}^n (y_i - \beta_0 - \sum_{j=1}^p \beta_j x_{ij})^2 + \lambda \sum_{j=1}^p \beta_j^2 \right\}$$
+
+Visualizing weights after regularization can show how different features are affected by the regularization process.
+
+## Conclusion
+
+Visualizing bias and weights in multiple regression provides valuable insights into model behavior, feature importance, and the effects of regularization. These visualizations aid in model interpretation, feature selection, and understanding the underlying relationships in the data.
+
+## How to Use This Repository
+
+- Clone this repository to your local machine.
+
+```bash
+ git clone https://github.com/CodeHarborHub/codeharborhub.github.io/tree/main/docs/Machine%20Learning/Multiple Regression Visualized
+```
+- For Python implementations and visualizations:
+
+1. Ensure you have Jupyter Notebook installed
+
+```bash
+ pip install jupyter
+```
+2. Navigate to the project directory in your terminal.
+3. Open weight_bias_multiple_regression.ipynb.
diff --git a/docs/Machine Learning/Multiple Regression Visualized/weight_bias_multiple_regression.ipynb b/docs/Machine Learning/Multiple Regression Visualized/weight_bias_multiple_regression.ipynb
new file mode 100644
index 000000000..3c2e2200f
--- /dev/null
+++ b/docs/Machine Learning/Multiple Regression Visualized/weight_bias_multiple_regression.ipynb
@@ -0,0 +1,102 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "
Bias and Weight Visualization in Multiple Regression "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "iVBORw0KGgoAAAANSUhEUgAAAj4AAAHHCAYAAAC/R1LgAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuNSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/xnp5ZAAAACXBIWXMAAA9hAAAPYQGoP6dpAACb1klEQVR4nOzdd1iV9fvA8fdZ7K0ggnvkBreZVlrOyjTNLM2dfis1BXE1LBuWieLWsnLmaPyyoVaWmaVWLhy4t7GRPc96fn+chEhFUOBwDvfruryuzudZ9w0kt89nqRRFURBCCCGEqATU1g5ACCGEEKK8SOEjhBBCiEpDCh8hhBBCVBpS+AghhBCi0pDCRwghhBCVhhQ+QgghhKg0pPARQgghRKUhhY8QQgghKg0pfIQQQghRaUjhI4S4qczMTJ577jn8/f1RqVRMmjQJgPj4eJ588kmqVKmCSqViwYIFVo2zJPbv3899992Hq6srKpWKyMhIq8bzxhtvoFKp7urapKSkUo5KCPsmhY8Qlcjq1atRqVS3/PPHH3/knzt79mxWr17NCy+8wLp16xg6dCgAISEh/PDDD8yYMYN169bRq1evYj8/OzubN954g127dpV2ardlMBgYOHAgycnJREREsG7dOmrXrn3DeX/99RcqlYqIiIgbjvXt2xeVSsWqVatuOPbAAw8QGBhYJrHfrdmzZ7NlyxZrhyFEhaC1dgBCiPL35ptvUrdu3RvaGzRokP/fO3fu5N577+X1118vdM7OnTvp27cvYWFhJX5udnY2s2bNAqBLly4lvv5unD9/nsuXL7Ny5Uqee+65W57XunVrXFxc+P333wkJCSl0bO/evWi1Wvbs2cPIkSPz2/V6Pfv376dPnz4liunVV19l+vTpJUvkDsyePZsnn3ySfv36lfmzhKjopPARohLq3bs3bdu2LfKchIQEmjZtetN2Ly+vMoqs7CQkJADcNnatVkuHDh3Ys2dPofbTp0+TlJTE4MGD+f333wsdO3jwILm5uXTu3LlEMWm1WrRa+WtYiPIkXV1CiEJ27dqFSqXi4sWLbN26Nb8b7Ho3maIoLF26NL/9utTUVCZNmkTNmjVxdHSkQYMGzJkzB7PZDMClS5fw9fUFYNasWfnXv/HGGwDExcUxcuRIatSogaOjI9WrV6dv375cunTptjHv3LmT+++/H1dXV7y8vOjbty8nT57MPz5ixAgefPBBAAYOHIhKpSryjVPnzp2Jj4/n3Llz+W179uzBw8ODsWPH5hdB/z52/brrtm/fnh+Tu7s7jz76KFFRUYWec7MxPjk5Obz00ktUrVoVd3d3Hn/8caKjowt9rf4tNTWVESNG4OXlhaenJyNHjiQ7Ozv/uEqlIisrizVr1uR/zUeMGHHrL6YQdk7+qSFEJZSWlnbDoFiVSkWVKlVo0qQJ69atIyQkhBo1ajB58mQAWrVqlT/Wp3v37gwbNiz/2uzsbB588EGio6P53//+R61atdi7dy8zZswgNjaWBQsW4Ovry/Lly3nhhRd44okn6N+/PwBBQUEADBgwgKioKCZMmECdOnVISEhgx44dXLlyhTp16twyl59++onevXtTr1493njjDXJycli8eDGdOnXi0KFD1KlTh//9738EBgYye/ZsXnrpJdq1a0e1atVuec/rBczvv/+e3/23Z88e7r33Xjp06IBOp2Pv3r08/vjj+cfc3d0JDg4GYN26dQwfPpyePXsyZ84csrOzWb58OZ07d+bw4cNF5jNixAg+++wzhg4dyr333suvv/7Ko48+esvzn3rqKerWrcu7777LoUOH+Oijj/Dz82POnDn5sTz33HO0b9+esWPHAlC/fv1b3k8Iu6cIISqNVatWKcBN/zg6OhY6t3bt2sqjjz56wz0AZdy4cYXa3nrrLcXV1VU5c+ZMofbp06crGo1GuXLliqIoipKYmKgAyuuvv17ovJSUFAVQ5s6dW+KcWrZsqfj5+SnXrl3Lbzty5IiiVquVYcOG5bf98ssvCqB8/vnnt71nenq6otFolNGjR+e3NWrUSJk1a5aiKIrSvn17ZcqUKfnHfH19le7duyuKoigZGRmKl5eXMmbMmEL3jIuLUzw9PQu1v/7668q//xo+ePCgAiiTJk0qdO2IESNu+Lpdv3bUqFGFzn3iiSeUKlWqFGpzdXVVhg8fftu8hagMpKtLiEpo6dKl7Nixo9Cf7du33/H9Pv/8c+6//368vb1JSkrK/9OtWzdMJhO7d+8u8npnZ2ccHBzYtWsXKSkpxX5ubGwskZGRjBgxAh8fn/z2oKAgunfvzrZt2+4oH3d3d4KCgvLH8iQlJXH69Gnuu+8+ADp16pTfvXXmzBkSExPz3xLt2LGD1NRUnnnmmUJfC41GQ4cOHfjll19u+dzvv/8egBdffLFQ+4QJE255zfPPP1/o8/3338+1a9dIT08vYdZCVA7S1SVEJdS+ffvbDm4uibNnz3L06NH8MTz/dX1g8a04OjoyZ84cJk+eTLVq1bj33nt57LHHGDZsGP7+/re87vLlywA0atTohmNNmjThhx9+ICsrC1dX1xJkY9G5c2cWL15MUlISe/fuRaPRcO+99wJw3333sWzZMvLy8m4Y33P27FkAHnrooZve18PDo8h81Gr1DTPu/j3b7r9q1apV6LO3tzcAKSkpRT5LiMpKCh8hxF0zm810796dqVOn3vT4Pffcc9t7TJo0iT59+rBlyxZ++OEHXnvtNd5991127txJq1atSjvk27pe+OzZs4e9e/fSokUL3NzcAEvhk5eXx/79+/n999/RarX5RdH1wdzr1q27adFW2rO4NBrNTdsVRSnV5whhL6TwEULctfr165OZmUm3bt2KPO92qxTXr1+fyZMnM3nyZM6ePUvLli2ZN28e69evv+n51xcgPH369A3HTp06RdWqVe/obQ8UHuC8b98+OnXqlH8sICCA2rVrs2fPHvbs2UOrVq1wcXHJzwHAz8/vtl+Pm+VjNpu5ePEiDRs2zG//9+yyO3Gnq0MLYY9kjI8Q4q499dRT7Nu3jx9++OGGY6mpqRiNRoD84iA1NbXQOdnZ2eTm5hZqq1+/Pu7u7uTl5d3yudWrV6dly5asWbOm0D2PHz/Ojz/+yCOPPHKHGVmKm7p16/Lzzz9z4MCB/PE91913331s2bKF06dPF5rG3rNnTzw8PJg9ezYGg+GG+yYmJt7ymT179gRg2bJlhdoXL158x3kAuLq63vA1F6Kykjc+QlRC27dv59SpUze033fffdSrV6/E95syZQrffPMNjz32GCNGjKBNmzZkZWVx7NgxvvjiCy5dukTVqlVxdnamadOmbN68mXvuuQcfHx+aN2+O0Wjk4Ycf5qmnnqJp06ZotVq++uor4uPjefrpp4t89ty5c+nduzcdO3Zk9OjR+dPZPT09b7ruTUl07tyZdevWARR64wOWr9XGjRvzz7vOw8OD5cuXM3ToUFq3bs3TTz+Nr68vV65cYevWrXTq1IklS5bc9Hlt2rRhwIABLFiwgGvXruVPZz9z5gxw529u2rRpw08//cT8+fPzC7oOHTrc0b2EsHnWnlYmhCg/RU1nB5RVq1bln1uS6eyKYpnGPWPGDKVBgwaKg4ODUrVqVeW+++5TwsPDFb1en3/e3r17lTZt2igODg75U7STkpKUcePGKY0bN1ZcXV0VT09PpUOHDspnn31WrLx++uknpVOnToqzs7Pi4eGh9OnTRzlx4kShc0oynf26Dz74QAGUwMDAG44dOnQo/+sWHx9/w/FffvlF6dmzp+Lp6ak4OTkp9evXV0aMGKEcOHAg/5z/TmdXFEXJyspSxo0bp/j4+Chubm5Kv379lNOnTyuA8t57791wbWJiYqHrr3+PL168mN926tQp5YEHHlCcnZ0VQKa2i0pNpSgyAk4IISqyyMhIWrVqxfr16xkyZIi1wxHCpskYHyGEqEBycnJuaFuwYAFqtZoHHnjAChEJYV9kjI8QQlQg77//PgcPHqRr165otVq2b9/O9u3bGTt2LDVr1rR2eELYPOnqEkKICmTHjh3MmjWLEydOkJmZSa1atRg6dCivvPKK7OQuRCmQwkcIIYQQlYaM8RFCCCFEpSGFjxBCCCEqDekw/g+z2UxMTAzu7u6yzLsQQghhIxRFISMjg4CAANTqW7/XkcLnP2JiYmTmhBBCCGGjrl69So0aNW55XAqf/3B3dwcsXzgPD49Su6/BYODHH3+kR48e6HS6UrtvRWHv+YH952jv+YH95yj52T57z7Es80tPT6dmzZr5v8dvRQqf/7jeveXh4VHqhY+LiwseHh52+8Nsz/mB/edo7/mB/eco+dk+e8+xPPK73TAVGdwshBBCiEpDCh8hhBBCVBpS+AghhBCi0pAxPnfAZDJhMBhKdI3BYECr1ZKbm4vJZCqjyKzHHvNzcHAockqkEEII2yOFTwkoikJcXBypqal3dK2/vz9Xr161y/WB7DE/tVpN3bp1cXBwsHYoQgghSokUPiVwvejx8/PDxcWlRL/gzWYzmZmZuLm52eVbBHvL7/pClrGxsdSqVctuijkhhKjspPApJpPJlF/0VKlSpcTXm81m9Ho9Tk5OdlEY/Jc95ufr60tMTAxGo9Eup5UKIURlZB+/ocrB9TE9Li4uVo5ElJfrXVz2MmZJCCGEFD4lJl0elYd8r4UQwv5I4SOEEEKISkMKHyGEEEJUGlL4iDKRnJzMkCFD8PDwwMvLi9GjR5OZmWnVmHbv3k2fPn0ICAhApVKxZcsWq8YjhBCi/EnhI8rEkCFDiIqKYseOHXz33Xfs3r2bsWPHluozunTpwurVq4t9flZWFsHBwSxdurRU4xBCCFE8xvh4HP/+26oxSOFj59auXUuVKlXIy8sr1N6vXz+GDh1aJs88efIk33//PR999BEdOnSgc+fOLF68mE2bNhETEwPAqFGjCAoKyo9Lr9fTqlUrhg0bViYxAfTu3Zu3336bJ554osyeIYQQ4uYyf/uNKwOfImDNWkwpKVaLw2YLn/feew+VSsWkSZPy23Jzcxk3bhxVqlTBzc2NAQMGEB8fX2YxKIpCtt5Y7D85elOJzi/qj6IoxYpx4MCBmEwmvvnmm/y2hIQEtm7dyqhRo255XbNmzXBzc7vln969e9/y2n379uHl5UXbtm3z27p164ZarebPP/8EYNGiRWRlZTF9+nQAXnnlFVJTU1myZEmx8hJCCGEbFIOBhHnzuDpmLOaUFExurpizsqwWj00uYLh//34++OADgoKCCrWHhISwdetWPv/8czw9PRk/fjz9+/dnz549ZRJHjsFE05k/lMm9b+fEmz1xcbj9t8/Z2ZnBgwezatUqBg4cCMD69eupVasWXbp0ueV127ZtK3I/Mmdn51sei4uLw8/Pr1CbVqvFx8eHuLg4ANzc3Fi/fj0PPvgg7u7uLFiwgF9++QUPD4/b5iSEEMI2GGJjiQ6dTM7hwwB4DhrE2RbNaV6jhtVisrnCJzMzkyFDhrBy5Urefvvt/Pa0tDQ+/vhjNmzYwEMPPQTAqlWraNKkCX/88Qf33nuvtUK2ujFjxtCuXTuio6MJDAxk9erVjBgxosh1amrXrl3mcXXs2JGwsDDeeustpk2bRufOnYs8f/bs2cyePTv/c05ODn/88Qfjx4/Pbztx4gS1atUqs5iFEEIUT8bOX4idMQNTWhpqNzeqv/02zg8/hLJtm1XjsrnCZ9y4cTz66KN069atUOFz8OBBDAYD3bp1y29r3LgxtWrVYt++fbcsfPLy8gqNf0lPTwcsKzX/+42HwWBAURTMZjNmsxkAR42K4290L1bciqKQmZGJm7tbqSyM56hR5cdxO8HBwQQHB7NmzRq6d+9OVFQU3377bZHXt2jRgsuXL9/yeOfOndn2rx/e611viqLg5+dHQkJCofsbjUaSk5Px8/PLbzebzezZsweNRsPZs2dvm8/YsWN58skn8z8PHTqU/v37Fxqz4+/vX+yvy7+/l7c6rigKBoMBjUaT//NQ1JswW2bv+YH95yj52T57yFExGLi2YCGpa9cC4NisGf5z56KrWaNM8yvuPW2q8Nm0aROHDh1i//79NxyLi4vDwcEBLy+vQu3VqlXL7165mXfffZdZs2bd0P7jjz8W2p5Cq9Xi7+9PZmYmer3+juJ3dtBgysu5o2v/KyO3ZOcPHjyYFStWcPHiRbp06YKnp2d+kXczGzduxGg03vK4k5PTTa/PyMigRYsWpKamsnv3blq2bAnAzp07MZvNNG3aNP+6BQsWcPLkSb777juefPJJli9fzpAhQ275TK1WW6gLTafT4e7uXqgtOzv7ltf/V05OTpFfA71eT05ODrt37y70tdixY0exn2GL7D0/sP8cJT/bZ6s5apOTqb5hI85XrwKQ0qkTSY/05tixo3DsaP55ZZFfcf/+t5nC5+rVq0ycOJEdO3bg5ORUavedMWMGoaGh+Z/T09OpWbMmPXr0KDTeJDc3l6tXr+Lm5nZHz1cUhYyMDNzd3a2yFcKoUaOYOXMma9euZfXq1bcdS9O8efMS3f/f+bVr146ePXsSGhrKsmXLMBgMTJ8+nUGDBtGoUSMADh8+zLvvvstnn31Gjx49CA8PZ+rUqfTs2ZN69eoV65larRYnJ6dijwvKzMzk3Llz+Z/j4+O5cOECPj4+N+0ey83NxdnZmQceeAAnJycMBgM7duyge/fudrlpqb3nB/afo+Rn+2w5x8yffyZh2XLMGRmo3d3xe+stGjz8UKFzyjK/ov4h+282U/gcPHiQhIQEWrdund9mMpnYvXs3S5Ys4YcffkCv15OamlrorU98fDz+/v63vK+joyOOjo43tOt0ukLfFJPJhEqlQq1W39Hu49e7VK7fo7x5e3szYMAAtm7dSv/+/Us9hv/mt2HDBsaPH0/37t1Rq9UMGDCARYsWoVaryc3NZdiwYYwYMYK+ffsC8Pzzz7N9+3aGDx/O7t270Wg0xXpuSb4fhw4domvXrvmfJ0+eDMDw4cNvuh6QWq1GpVLd8LPw38/2xt7zA/vPUfKzfbaUo1mvJ+H9uaSsXw+AU3AQNebPRxcYeMtryiK/4t7PZgqfhx9+mGPHjhVqGzlyJI0bN2batGnUrFkTnU7Hzz//zIABAwA4ffo0V65coWPHjtYIucKJjo5myJAhNy30SpuPjw8bNmy46TEnJyeioqJuaP/6669L9Ixdu3aV6PwuXboUexkAIYQQt6e/coXokFBy//k73WfUKPxCJqGqwEWbzRQ+7u7uN3S/uLq6UqVKlfz20aNHExoaio+PDx4eHkyYMIGOHTtW6hldACkpKezatYtdu3axbNkya4cjhBDCDqRv307sq69hzspC4+VF9ffexb2IZVIqCpspfIojIiIiv1slLy+Pnj17yi96oFWrVqSkpDBnzpz8MTZCCCHEnTDn5RH/7rukbtoMgHPr1gTOn4euiGElFYlNFz7/7epwcnJi6dKlshfTf1y6dMnaIQghhLADeRcvEh0SSt6pUwBUGTsW35cmoNLaTjlhO5EKIYQQwmrSvv2W2NffQMnORuPjQ8CcObjdX/TCsxWRFD5CCCGEuCVzTg5x77xD2hdfAuDSvj0Bc+eiq+Z3mysrJil8hBBCCHFTeefOER0SQt7Zc6BSUfWFF6g67kVUxVxypCKSwkcIIYQQN0j9v6+Ie+stlJwcNFWrEjj3fVztYHkYKXyEEEIIkc+clUXcm2+R9s/aai4d7yXw/ffR+vpaObLSIYWPEEIIIQDIPX2G6JAQ9BcugFqN74TxVBk71qa7tv5LCh8hhBCiklMUhdQvviD+7XdQ8vLQ+vkRED4X1/btrR1aqSv/TaOE3bt06RKjR4+mbt26ODs7U79+fV5//fU73tW+tOzevZs+ffoQEBCASqViy5YtVo1HCCEqAlNmFjFhU4h7bSZKXh6u999P3S1f2WXRA1L4iDJw6tQpzGYzH3zwAVFRUURERLBixQpefvnlUn1Oly5dbrq56K1kZWURHBwsC1wKIcQ/ck+e5NKAAaRv3QoaDb6TQ6n5wQq0Pj7WDq3MSFeXnVu7di0hISHExMQU2py0X79+uLu7s27dulJ/Zq9evejVq1f+53r16nH69GmWL19OeHg4AKNGjeLAgQPs378fR0dH9Ho9HTp0oEWLFqxdu7bUYwLo3bs3vXv3LpN7CyGELVEUhdRNm4h/9z0UvR6tvz+B8+fh0rq1tUMrc/LG524oCuiziv/HkF2y84v6U8xdxgcOHIjJZOKbb77Jb0tISGDr1q2MGjXqltc1a9YMNze3W/4paQGRlpaGz7/+BbFo0SKysrKYPn06AK+88gqpqaksWbKkRPcVQghRMqaMDKJDQomb9SaKXo9bly7U/er/KkXRA/LG5+4YsmF2QLFOVQNepfnsl2PAwfW2pzk7OzN48GBWrVrFwIEDAVi/fj21atWiSxG76G7btg2DwVDkfYvr3LlzLF68OP9tD4Cbmxvr16/nwQcfxN3dnQULFvDLL7/g4eFR7PsKIYQomZxjx4kODcVw9SpotfhNnozPiOGoVCprh1ZupPCpBMaMGUO7du2Ijo4mMDCQ1atXM2LEiCJ/0GvXrl0qz46OjqZXr14MHDiQMWPGFDrWsWNHwsLCeOutt5g2bRqdOxe958vs2bOZPXt2/uecnBz++OMPxo8fn9924sQJatWqVSqxCyGEvVAUhZR164mfOxcMBnQBAQRGzMc5ONjaoZU7KXzuhs7F8ualGMxmM+kZGXi4u6NWl0IPo86l2Ke2atWK4OBg1q5dS48ePYiKimLr1q1FXtOsWTMuX758y+P3338/27dvL/IeMTExdO3alfvuu48PP/zwhuNms5k9e/ag0Wg4d+7cbfN4/vnneeqpp/I/DxkyhAEDBtC/f//8toCA4r2BE0KIysKUlkbMK6+Q+dPPALh1e5iAd95B4+lp5cisQwqfu6FSFau7CQCzGXQmy/mlUfiU0HPPPceCBQuIjo6mW7du1KxZs8jz77arKzo6mq5du9KmTRtWrVp102Jv7ty5nDp1il9//ZWePXuyatUqRo4cect7+vj4FBon5OzsjJ+fHw0aNCgyFiGEqKxyjhwhOiQUQ0wMKp0Ov6lT8X52SKXq2vovKXwqicGDBxMWFsbKlSuLNWvqbrq6oqOj6dKlC7Vr1yY8PJzExMT8Y/7+/gAcPnyYmTNn8sUXX9CpUyfmz5/PxIkTefDBB6lXr94dP7somZmZhd4sXbx4kcjISHx8fKR7TAhhVxSzmeTVa0iYPx+MRnQ1axIYEYFz82bWDs3qpPCpJDw9PRkwYABbt26lX79+ZfqsHTt2cO7cOc6dO0eNGjUKHVMUhdzcXJ599llGjBhBnz59ABg7dixbt25l6NCh7N69G00ZLI9+4MABunbtmv85NDQUgOHDh5doPSAhhKjIjCkpxE6fQeavvwLg3qsX1d96E427u5Ujqxik8KlEoqOjGTJkSKH1fMrCiBEjGDFixC2POzk5ERUVdUP71/9siFdcu3btKtH5Xbp0QSnmMgBCCGGLsg8dIjp0Msa4OFQODlR7eQZegwZV6q6t/5LCpxJISUlh165d7Nq1i2XLllk7HCGEEKVMMZu59tHHJC5cCCYTDrVrE7ggAqcmTawdWoUjhU8l0KpVK1JSUpgzZw6NGjWydjhCCCFKkfHaNWKmTSfr998B8HjsMfzfeAONWzEn31QyUvhUApcuXbJ2CEIIIcpA1l9/ETM5DGNiIipHR/xfexXPAQOka6sIUvgIIYQQNkYxmUj64AOSliwFsxmH+vUJjJiP0z33WDu0Ck8KHyGEEMKGGBMTiZ46lex9fwDg2a8f/jNfQ+1S/IVtKzMpfIQQQggbkbVvH9FTpmJKSkLl7Iz/zJl4PdHP2mHZFCl8hBBCiApOMRpJWraMpOUrQFFwbNiQwAURONavb+3QbI4UPkIIIUQFZohPIGbyZLIPHADAa+CTVHv5ZdS32TpI3JwUPkIIIUQFlfnbb8RMnYYpJQW1iwv+s2bh2ecxa4dl06TwEUIIISoYxWgkYdFirq1cCYBj48YERszHsW5dK0dm+8p/m3BRKTz++OPUqlULJycnqlevztChQ4mJibFqTLt376ZPnz4EBASgUqnYsmWLVeMRQoib0aamEj1qdH7R4z34Geps3iRFTymRwkeUia5du/LZZ59x+vRpvvzyS86fP8+TTz5Zqs/o0qVLiTYXzcrKIjg4mKVLl5ZqHEIIUVqyfv2V2gsXkXv4MGo3NwIXROA/cybqMt5jsbyk5qVy1XjVqjFIV5edW7t2LSEhIcTExBTanLRfv364u7uzbt26MnluSEhI/n/Xrl2b6dOn069fPwwGAzqdjlGjRnHgwAH279+Po6Mjer2eDh060KJFC9auXVsmMfXu3ZvevXuXyb2FEOJuKHo9CRELSF61Cg3g2LQpNRZE4FCrlrVDKxV6k56NpzbywZEPwAjDjMPQ6XRWicVm3vgsX76coKAgPDw88PDwoGPHjmzfvj3/eG5uLuPGjaNKlSq4ubkxYMAA4uPjyzQmRVHINmQX+0+OMadE5xf1p7i7jA8cOBCTycQ333yT35aQkMDWrVsZNWrULa9r1qwZbm5ut/xTkgIiOTmZTz/9lPvuuy//B33RokVkZWUxffp0AF555RVSU1NZsmRJse8rhBD2QP93NJeGDiV51SoAUjrdR411a+2i6FEUhR8u/UDfLX0JPxBOhiEDV5UridmJVovJZt741KhRg/fee4+GDRuiKApr1qyhb9++HD58mGbNmhESEsLWrVv5/PPP8fT0ZPz48fTv3589e/aUWUw5xhw6bOhQZvcvyp+D/8RFd/tVOp2dnRk8eDCrVq1i4MCBAKxfv55atWrRpUuXW163bds2DAZDkfe9nWnTprFkyRKys7O59957+e677/KPubm5sX79eh588EHc3d1ZsGABv/zyCx4eHre9rxBC2IuMn34i5uVXMKeno/bwwO/NNzmTl4vKwcHaod21I4lHCN8fTmRiJAC+zr68EPQC2lNaanlYr6izmcKnT58+hT6/8847LF++nD/++IMaNWrw8ccfs2HDBh566CEAVq1aRZMmTfjjjz+49957rRFyhTFmzBjatWtHdHQ0gYGBrF69mhEjRhS5iV3t2rXv+rlTpkxh9OjRXL58mVmzZjFs2DC+++67/Od27NiRsLAw3nrrLaZNm0bnzp2LvN/s2bOZPXt2/uecnBz++OMPxo8fn9924sQJatnBv5KEEPbNrNeTMDeclH+GGzgFBxE4bz6qan6wbZuVo7s70ZnRLDi4gO8vfQ+Ak8aJEc1HMLLZSHTo2HbauvnZTOHzbyaTic8//5ysrCw6duzIwYMHMRgMdOvWLf+cxo0bU6tWLfbt21dk4ZOXl0deXl7+5/T0dAAMBkOhNx4GgwFFUTCbzZjNZgAc1Y7se3pfsePOyMjA3d292OcXxVHtmB/H7QQHBxMcHMyaNWvo3r07UVFRfPvtt0Ve36JFCy5fvnzL4507d2bbv/7nvN71dv1rBODj44OPjw8NGjSgUaNG1K5dm71799KxY0cAzGYze/bsQaPRcPbs2dvmM3bs2EIDpIcOHUr//v154okn8tv8/f2L/XX59/fyVscVRcFgMKDRaPJ/Hop6E2bL7D0/sP8cJT/bYLh6lbiwKeSdOAGA1/BhVJk4EZVOZ9M5Zugz+CTqEzae3ojerEeFisfqPca4oHH4ufgBZfs9LO49barwOXbsGB07diQ3Nxc3Nze++uormjZtSmRkJA4ODnh5eRU6v1q1asTFxRV5z3fffZdZs2bd0P7jjz/i8q8N37RaLf7+/mRmZqLX6+8ofmetM8Yc4x1d+18ZZJTo/MGDB7NixQouXrxIly5d8PT0zC/ybmbjxo0YjbeO1cnJ6abXZ2TcPK60tDQAUlJS8q9bsGABJ0+e5LvvvuPJJ59k+fLlDBky5JbP1Gq1+Pn55X/W6XS4u7sXasvOzr7l9f+Vk5NT5NdAr9eTk5PD7t27C30tduzYUexn2CJ7zw/sP0fJr+JyO3qUal98iSYvD5OLC3FPDeRMkybwn5xsKUeTYmK/fj87c3eSrVj+Dq6nrUdvp95UT67OgV0HbrimLPIr7t//NlX4NGrUiMjISNLS0vjiiy8YPnw4v/76613dc8aMGYSGhuZ/Tk9Pp2bNmvTo0aPQeJPc3FyuXr2Km5sbTk5OJX6Ooij5b3yK6mIqK6NGjWLmzJmsXbuW1atX33YsTfPmzUt0/3/n99dff3HgwAE6deqEt7c358+f5/XXX6d+/fo8/PDDODo6cvjwYd59910+++wzevToQXh4OFOnTqVnz57Uq1evWM/UarU4OTkVe1xQZmYm586dy/8cHx/PhQsX8PHxuWn3WG5uLs7OzjzwwAM4OTlhMBjYsWMH3bt3t9pshLJk7/mB/eco+VVc5rw8kubOJX3zZwA4tWpFtffn0Mjfv9B5tpSjoijsjt7NwsiFXMq5BEAdjzpMajWJ+wPuv+nvurLMr6h/yP6bTRU+Dg4ONGjQAIA2bdqwf/9+Fi5cyKBBg9Dr9aSmphZ66xMfH4//f36o/svR0bHQNO/rdDpdoW+KyWRCpVKhVqtRq0s+Ge56l8r1e5Q3b29vBgwYwNatW+nfv3+px/Dv/K6/jXvjjTfIysqievXq9OrVi1dffRVnZ2dyc3MZNmwYI0aMoG/fvgA8//zzbN++neHDh7N79240Gk2xnluS78ehQ4fo2rVr/ufJkycDMHz48JuuB6RWq1GpVDf8LPz3s72x9/zA/nOU/CqWvIsXiQ4JJe/UKQCqjB2L74TxqIrIoaLnePLaScIPhPNX3F8AeDt682LLFxlwzwB06tvHXRb5Ffd+NlX4/JfZbCYvL482bdqg0+n4+eefGTBgAACnT5/mypUr+eNJBERHRzNkyJCbFnqlqUWLFuzcufOWx52cnIiKirqh/euvvy7Rc3bt2lWi87t06VLsZQCEEKI0pH37HXGvv445OxuNtzcB77+P2/1FT+SoyOKz4ll0eBHfnv8WBQUHtQPPNn2W51o8h7tD6YxhLWs2U/jMmDGD3r17U6tWLTIyMtiwYQO7du3ihx9+wNPTk9GjRxMaGoqPjw8eHh5MmDCBjh07VvoZXWAZV7Nr1y527drFsmXLrB2OEELYPXNODvGzZ5P6+RcAuLRrR0B4OLpqfre5smLKNmTzyfFPWBO1hlxTLgC96/ZmYuuJBLoFWjm6krGZwichIYFhw4YRGxuLp6cnQUFB/PDDD3Tv3h2AiIgI1Go1AwYMIC8vj549e8ov+X+0atWKlJQU5syZQ6NGjawdjhBC2LW88+eJnhRC3tmzoFJR9YXnqfrii6i0NvMrN5/JbOLr81+z+PBiknKSAGjl14qwtmEE+QZZObo7YzPfhY8//rjI405OTixdulT2YbqJS5cuWTsEIYSoFFK/2kLcm2+i5OSgqVqVwPfn4HrffdYO647sjdnLvAPzOJNyBoCa7jUJaRNCt1rdrDJJp7TYTOEjhBBCVFTm7Gzi3nyLtC1bAHDpeC+B77+P1tfXuoHdgXMp5wg/GM6eaMvOB+4O7jwf9DxPN34aB43trygthY8QQghxF3LPnCE6JBT9+fOgVlN1/Diq/u9/qIo5O7WiSMpJYlnkMr48+yVmxYxWpeXpxk/zv6D/4eXkZe3wSo0UPkIIIcQdUBSF1C++IP7td1Dy8tD6+REQPhfX9u2tHVqJ5BpzWXdiHR8d+4hso2URwIdrPUxImxBqe9z99kUVjRQ+QgghRAmZMrOIe+MN0v/ZfNm1c2cC3p+D1sfHypEVn1kxs/XCVhYdXkRclmWXg2ZVmhHWNoy2/m2tHF3ZkcJHCCGEKIHckyctXVuXLoFGg+/EiVR5bjQqKyxOe6cOxB0g/EA4Udcsa6r5u/ozsfVEHqn7CGqV7eRxJ6TwEUIIIYpBURRSN20i/t33UPR6tP7+BM6fh0vr1tYOrdgup19m/oH57LxqWWTWVefKcy2e49kmz+KkLfl2TLZICh8hhBDiNkwZGcTOnEnG9u8BcOvShervzkbr7W3lyIonNTeVFUdXsPnUZoyKEbVKzZMNn+SFli9Q1bmqtcMrV/b9PktYXV5eHi1btkSlUhEZGWnVWHbv3k2fPn0ICAhApVKx5Z9pp0IIUZSc41Fc7D/AUvRotfhNnUqN5ctsoujRm/SsiVrDI189wqcnP8WoGOkc2Jkv+3zJax1fq3RFD0jhI8rY1KlTCQgIKJN7d+nS5aabi95KVlYWwcHBssilEKJYFEUhed16Lj/zDIarV9EFBFBn/TqqjBpZ4RfwUxSFHy/9SN8tfQk/EE6GPoOG3g35oPsHLO+2nAbeDawdotVIV5edW7t2LSEhIcTExBTanLRfv364u7uzbt26Mnv29u3b+fHHH/nyyy/Zvn17oWOjRo3iwIED7N+/H0dHR/R6PR06dKBFixasXbu2TOLp3bs3vXv3LpN7CyHsiyktjdhXXyVjx08AuHV7mIB33kHj6WnlyG7vaOJRwg+EczjhMABVnasyodUE+tbvi0ZtW2sLlQUpfO6CoigoOTnFOtdsNmPOycGs1UIpjPxXOTsX618cAwcO5KWXXuKbb75h4MCBgGXfs61bt/Ljjz/e8rpmzZpx+fLlWx6///77byhm/i0+Pp4xY8awZcsWXFxcbji+aNEigoODmT59OhEREbzyyiukpqayZMmS2+YkhBBlKefIEaJDJ2OIjgadjmpTpuA99NkK/5YnOjOahQcXsv2S5e9mJ40TI5qPYGSzkbjobvx7uLKSwucuKDk5nG7dpkTXxJfSsxsdOojqJgXFfzk7OzN48GBWrVqVX/isX7+eWrVq0aVLl1tet23bNgwGQ5H3vRVFURgxYgTPP/88bdu2veleYW5ubqxfv54HH3wQd3d3FixYwC+//IKHh8dtcxJCiLKgKArJq9eQMG8eGI3oatYkcP58nFs0t3ZoRcrQZ7Dy2Eo+PfEperMeFSoer/84E1pNoJprNWuHV+FI4VMJjBkzhnbt2hEdHU1gYCCrV69mxIgRRf7rpXbtO1+tc/HixWRkZDBjxowiz+vYsSNhYWG89dZbTJs2jc6dOxd5/uzZs5k9e3b+55ycHP744w/Gjx+f33bixAlq1ap1x7ELISonY0oKsTNeJnPXLgDce/Wi+ltvonF3t25gRTCYDXxx5guWRy4nJS8FgA7+HQhrF0Zjn8ZWjq7iksLnLqicnWl06GCxzjWbzaRnZODh7o66lLq6iqtVq1YEBwezdu1aevToQVRUFFu3bi3ymrvp6tq5cyf79u0rNKYIoG3btgwZMoQ1a9YAlq/Jnj170Gg0nDt37rZ5PP/88zz11FP5n4cMGcKAAQPo379/fltZDaQWQtiv7EOHiJ4chjE2FpWDA9VmTMfr6acrbNeWoijs/ns38w7O42LaRQDqetZlcpvJPFDjgQobd0Uhhc9dUKlUxepuAsBsRm00onZxKZXCp6See+45FixYQHR0NN26daNmzZpFnn83XV2LFi3i7bffzv8cExNDz5492bx5Mx06dMhvnzt3LqdOneLXX3+lZ8+erFq1ipEjR97yvj4+Pvj8azl4Z2dn/Pz8aNCg8s5OEELcOcVs5tpHH5O4cCGYTDjUrk3gggicmjSxdmi3dPLaSeYdmMefcX8C4O3ozYstX2TAPQPQqXVWjs42SOFTSQwePJiwsDBWrlxZrFlTd9PV9d+uJjc3NwDq169PjRo1ADh8+DAzZ87kiy++oFOnTsyfP5+JEyfy4IMPUq9evTt+dlEyMzMLvVm6ePEikZGR+Pj4SPeYEJWMMTmZmGnTyfrtNwA8HnsM/zfeQOPmauXIbi4+K55Fhxfx7flvUVBwUDvwbNNnea7Fc7g7VNzuuIpICp9KwtPTkwEDBrB161b69etn1Vhyc3N59tlnGTFiBH369AFg7NixbN26laFDh7J79240mtKfcnngwAG6du2a/zk0NBSA4cOHl2g9ICGEbcvev9/StZWQgMrRkWqvvoLXk09WyC6ibEM2nxz/hDVRa8g15QLQu05vJraZSKBboJWjs01S+FQi0dHRDBky5IaxN2WtTp06KIqS/9nJyYmoqKgbzvv6669LdN9d/wxCLK4uXboUikMIUbkoJhPXPvyQxMVLwGzGoV49AiMicGp0j7VDu4HJbOLbs9+y+PBiknKSAGjp25Ip7aYQ5Btk5ehsmxQ+lUBKSgq7du1i165dLFu2zNrhCCFEuTMmJRE9ZQrZ+/4AwLNfP/xnvoa6uOM0y9E5wznWfL+Gs6lnAajhVoOQNiF0r929Qr6VsjVS+FQCrVq1IiUlhTlz5tCoUSNrhyOEEOUqa98+oqdMxZSUhMrZGf+ZM/F6op+1w7rBuZRzhO8PZ0/WHgDcHdz5X9D/eKbxMzhoHKwcnf2QwqcSuNkCgkIIYe8Uk4mkpctIWr4cFAXHhg0JjJiPYwWbCZqUk8SyyGV8efZLzIoZNWoGNRrEiy1fxMvJy9rh2R0pfIQQQtgdQ3wCMVOmkP3XXwB4DXySai+/jLoEa6CVtVxjLutOrOPj4x+TZcgCoGuNrgSnBTOszTB0OpmeXhak8CkhGRxbecj3WgjblPnb78RMm4YpORm1iwv+s2bh2ecxa4eVz6yY2XphK4sOLyIuKw6AplWaMqXtFIKrBLNt2zYrR2jfpPAppuuVd3Z2dpGL9wn7odfrAcpkar0QovQpRiOJixZz7cMPAXBs3NjStVW3rpUjK3Aw/iBz988l6pplZqu/qz8vtXqJR+s9ilqlLnLhWFE6pPApJo1Gg5eXFwkJCQC4uLiUaHS92WxGr9eTm5trlZWby5q95Wc2m0lMTMTFxQWtVv43EaKiM8TGEj05jJxDhwDweuZpqk2fjrqcl++4lcvpl4k4GMHPV34GwEXrwnMtnmNo06E4aZ2sHF3lIn+jl4C/vz9AfvFTEoqikJOTg7Ozs11OR7TH/NRqNbVq1bKbfISwVxm7dhE7bTqmtDTUrq5Uf/stPHr3tnZYAKTlpbHiyAo2ndqEUTGiVqkZ0HAAL7Z8karOVa0dXqUkhU8JqFQqqlevjp+fX4lfRxoMBnbv3s0DDzxglwPW7DE/BwcHu3h7JYS9UgwGEiIWkPzJJwA4NWtGYMR8HCrAFjR6k56NpzbywdEPyNBnANA5sDOT20ymgXfFmlVW2Ujhcwc0Gk2Jx31oNBqMRiNOTk52Uxj8m73nJ4SoWAzR0fwdGkrukaMAeD/7LH5Tp6B2sO56N4qisOPyDiIORvB35t8ANPRuSFjbMO4LuM+qsQkLKXyEEELYlMyfd5Iwcybm9HTUHh5Uf+dtPLp3t3ZYHE08SviBcA4nHAagqnNVJrSaQN/6fdGoZZJERSGFjxBCCJugGAz4fvMtcXssKxs7BQUROH8+DjWsu1lndGY0Cw8uZPul7Za4NE6MaD6Ckc1G4qKreFtiWFVeBt5Z56waghQ+QgghKjz91av8PSkE7382OPYZORK/kEmorNi1laHPYOWxlXx64lP0Zj0qVDxe/3EmtJpANddqVourwjGb4OKvELkR7clv6YAWTM+DlYZF2MzIzXfffZd27drh7u6On58f/fr14/Tp04XOyc3NZdy4cVSpUgU3NzcGDBhAfHy8lSIWQghRGtK//4GLT/QnLyoKk4sL1Rcvotq0qVYregxmAxtPbeTR/3uUVcdXoTfr6eDfgc2Pbebtzm9L0XNd0ln4aRYsaAHrnoBjn6Ey5qDXuEHa31YLy2be+Pz666+MGzeOdu3aYTQaefnll+nRowcnTpzA1dUVgJCQELZu3crnn3+Op6cn48ePp3///uz557WoEEII22HOyyNhzhxSNmwEwKllS0707kWjLl2sEo+iKOz+ezfzDs7jYtpFAOp41GFy28k8WONBWfoCICcFjv8fHNkIf+8vaHfyguYDMDYfxM7IWB7xqWe1EG2m8Pn+++8LfV69ejV+fn4cPHiQBx54gLS0ND7++GM2bNjAQw89BMCqVato0qQJf/zxB/fee681whZCCHEH9Jcu8XdIKHknTwJQZcwYvF54nqM7dlglnlPJpwjfH86fcX8C4O3ozQstX+DJe55Ep67kM1lNRji/E45sgFPbwJRnaVdpoEE3aDkYGvUGrSOKwQBHrLslh80UPv+VlpYGgI+PDwAHDx7EYDDQrVu3/HMaN25MrVq12Ldv3y0Ln7y8PPLy8vI/p6enA5Z1aUpz6fDr97LX5cjtPT+w/xztPT+w/xztJb+MbdtImPUmSnY2am9vqs1+B9fOna2SX0J2AkuPLuW7C9+hoKBT6xjcaDCjmo3C3cEdTGAwVdLfFQknUR/bhPrY56iyChb2VfyaYm4xCHPzJ8Htn24/BfjX79WyyK+491QpNrgTo9ls5vHHHyc1NZXff/8dgA0bNjBy5MhCRQxA+/bt6dq1K3PmzLnpvd544w1mzZp1Q/uGDRtwcZHR+EIIUV5U/8za8vpnR/XsunWJe+ZpjJ6e5R5LnpLH77m/83ve7xiw/EJtoWtBD6ceeGu8yz2eisLBmEFgyj5qXfsdr5xL+e15Wnf+9u7IVZ/OpDnXBit0+2VnZzN48GDS0tLw8PC45Xk2+cZn3LhxHD9+PL/ouRszZswgNDQ0/3N6ejo1a9akR48eRX7hSspgMLBjxw66d+9ulwv82Xt+YP852nt+YP852nJ++gsXiZs8Gf25c6BS4T1mDPVfeJ6gf+2VVx75mcwmvr34LcuPLicpLwmA4KrBhLYOpUXVFmXyzH+rkN9DkwHVuR2oj21GdfZHVGZLIaiotSgNemAOehp1g27U0jhwuzWzyzK/6z02t2Nzhc/48eP57rvv2L17NzVq1Mhv9/f3R6/Xk5qaipeXV357fHx8/h5bN+Po6IjjTTax0+l0ZfJDV1b3rSjsPT+w/xztPT+w/xxtLb/ULVuIm/UmSk4OmqpVCXx/Dq733XqV47LKb2/MXuYdmMeZlDMA1HCrQUibELrX7l7uA5crxPcw9ihEboBjn0N2UkF79WAIHoyqxZOoXKve0fTwssivuPezmcJHURQmTJjAV199xa5du6hbt26h423atEGn0/Hzzz8zYMAAAE6fPs2VK1fo2LGjNUIWQghRBHN2NnFvvU3aV18B4HLvvQTOfR+tr2+5xnE+9TzzDszjt+jfAHB3cOd/Qf/jmcbP4KCx7hYY5S4zAY5+ZpmVFX+8oN3VD4KesgxUrtbMevGVApspfMaNG8eGDRv4+uuvcXd3Jy4uDgBPT0+cnZ3x9PRk9OjRhIaG4uPjg4eHBxMmTKBjx44yo0sIISqYvLNn+TskBP2586BWU3X8OKr+73+oSrgP4t24lnONZZHL+PLsl5gUE1qVlkGNB/F80PN4OXmVWxxWZ8yD09stxc7ZHaCYLO0aB2j0CLQcAvUfAo3NlAxFspksli9fDkCX/6zfsGrVKkaMGAFAREQEarWaAQMGkJeXR8+ePVm2bFk5RyqEEOJWFEUh7csviXv7HZTcXLS+vgSEh+PaoX25xZBrzGX9yfV8dOwjsgxZADxU8yFC2oRQx7NOucVhVYoC0YcsU9CPfQG5qQXHAttCy2egWX9w8bFaiGXFZgqf4kw+c3JyYunSpSxdurQcIhJCCFESpsws4mbNIv3bbwFw7dSJgPfnoK1SpVyeb1bMbLu4jUWHFhGbFQtA0ypNCWsbRjv/duUSg9Wlx8DRzRC5EZL+tfuBewAED4LgweB7j/XiKwc2U/gIIYSwXbmnThE9KQT9pUug0eA7cSJVnhuNSl0+OycdjD9I+P5wjl+zjFvxd/XnpVYv8Wi9R1GrbGb3pjtjyIFTWy0DlS/8AorZ0q51giZ9LON26j4IlWQHeSl8hBBClBlFUUjd/Bnxs2ej6PVo/f0JnBeOS5s25fL8y+mXiTgYwc9XfgbARevCcy2eY2jToThpncolBqtQFLj6p6XYifoK8v411btWRwh+Bpr1A6fyXyPJ2qTwEUIIUSZMmZnEvvYaGdstWw65Pfgg1d97F6132S8AmJaXxoojK9h0ehNGsxG1Ss2AhgN4seWLVHWuWubPt5rUq3Bkk2WgcvL5gnbPWhD8tOVPlfrWi68CkMJHCCFEqcs5HkV0aCiGK1dAq8UvJASfkSPKvGtLb9Kz8dRGPjj6ARn6DAA6B3ZmcpvJNPBuUKbPthp9Fpz4xjJQ+eJvWPaHAHSu0LSvZaBy7c5QTt2KFZ0UPkIIIUqNoiikrP+UhPffRzEY0AUEEDh/Hs4tW5b5c3dc3kHEwQj+zvwbgIbeDQlrG8Z9AbdeDNFmmc1wZa+lK+vE16DPLDhW537LuJ0mj4Ojm/VirKCk8BFCCFEqTOnpxL7yKhn/7KDu1u1hAt55B00Z77V1NPEo4QfCOZxwGICqzlWZ0GoCfev3RWNvA3aTLxR0ZaVeKWj3rmspdoIGgXdt68VnA6TwEUIIcddyjh4lOiQUQ3Q06HRUmzIF76HPlulWDzGZMSw4tIDtF7cD4KRxYniz4YxqPgoXnR1tMp2bDie2WKagX9lb0O7oYRmgHDwYat1rlY1BbZEUPkIIIe6Yoigkr15Dwrx5YDSiq1mTwPnzcW7RvMyemaHPYM3RNaw/sR69WY8KFX3q92FCqwn4u956b0abYjbB+d8sxc7Jb8GY888BFdTvail2Gj8KDnZU4JUTKXyEEELcEVNqKjEzXibzl18AcO/Zk+pvv4XG3b1Mnmc0G/kz70/Cvw0nNS8VgPb+7QlrG0aTKk3K5Jnl7tpZmsR8jnbJdMiIKWiveo9lCnrQIPAMtF58dkAKHyGEECWWfegw0ZMnY4yNReXgQLUZ0/F6+uky6dpSFIXdf+8m/EA4l3IuAVDHow6T207mwRoPlvvO6aUuJwWO/x8c2Yju7/3kr5vs5AnNn7SM3QlsI11ZpUQKHyGEEMWmmM0kf/IJCRELwGTCoXZtAhdE4NSkbN64nEo+Rfj+cP6M+xMAF5ULE9pMYFCTQejUujJ5ZrkwGS2rKEd+Cqe2gSkPAEWlId69OVW7vYS2yWOgs+NFFq1ECh8hhBDFYkxOJmb6dLJ2/waAx6OP4j9rFho311J/VnxWPIsPL+ab89+goKBT6xjcaDA1Y2rS/57+tlv0xJ+wrLdz9DPIjC9o92sKLQdjbPIEf+4+yCNNHgGdjeZYwUnhI4QQ4ray9+8nenIYxoQEVI6OVHvlZbwGDiz1bqZsQzaro1azOmo1Of8M6O1VpxcTW0+kmlM1tsVuK9XnlYvsZMsO6JGfQmxkQbuzDwQ9ZRm7Uz3Y0pVlMFgtzMpCCh8hhBC3pJhMXPvwQxIXLwGzGYd69QiMiMCpUenu4G0ym/jm/DcsPryYxJxEAIJ9g5nSbgrBvsEAGGypKDAZ4OwOS7Fz5gcw/xO7Wgv39LIUOw17gNbBunFWQlL4CCGEuCljUhIxU6eStXcfAJ59++I/8zXUrqXbtbUvZh/hB8I5k3IGgEC3QELahNCjdg/bG7gce9SymvKxzyE7qaC9erBlCnqLJ8HVjvcKswFS+AghhLhB1h9/ED1lCqbEJFTOzvi/9hpe/Z8o1WecTz3PvAPz+C3aMmbI3cGd/wX9j2caP4ODxobehGQmWAqdyA0Qf7yg3dXP0pXVcjBUa2a9+EQhUvgIIYTIp5hMJC1dRtLy5aAoODZsQGBEBI4NSm+Dz2s511gWuYwvz36JSTGhVWkZ1HgQzwc9j5eTV6k9p0wZ8+DM95Zi5+wOUEyWdo0DNHrEUuzUfxg08mu2opHviBBCCAAM8QnETJlC9l9/AeD55AD8X3kFtbNzqdw/15jL+pPr+ejYR2QZsgB4qOZDhLQJoY5nnVJ5RplSFIg59E9X1heQm1pwLLCtZRf0Zv3BxcdqIYrbk8JHCCEEmb/vIWbqVEzJyahcXKg+6w08+/QplXubFTPbLm5j0aFFxGbFAtC0SlPC2obRzr9dqTyjTKXHwNHNlu0jkk4XtLsHQPAgy9gd39Id7C3KjhQ+QghRiSlGI4mLl3Dtww8tXVuNGxMYMR/HunVL5f4H4w8Svj+c49csY1+quVRjYuuJPFrvUdQqdak8o0wYcuDUVsvbnQu/gGK2tGudoEkfy6ysel3A3nZ/rwSk8BFCiErKEBdH9OQwcg4eBMDr6UFUmz4dtdPdrxZ8Of0yEQcj+PnKzwC4aF14rsVzDG06FCdtBV2NWFHg6l+WKehRWyAvreBYrY6WYqdZP8tWEsJmSeEjhBCVUOavvxIzbTqm1FTUrq5Uf/stPHr3vuv7puWlseLICjad3oTRbEStUtO/YX/GtRxHVecKOo079Soc3WTpyko+X9DuWdNS7AQ/DVXqWy8+Uaqk8BFCiEpEMRhIWLCA5I8/AcCpaVMCI+bjULv2Xd3XYDKw8dRGPjj6Aen6dAA6BXZicpvJNPRueNdxlzp9Fpz81vJ25+JvgGJp17lC076Wgcq1O4O6AnfHiTsihY8QQlQShuhookMnk3PkCADezz6L39QpqB3ufM0cRVH46cpPRByM4GrGVQAaejckrE0Y9wXeVypxlxqzGa7stbzZObEF9JkFx+rcb5mC3uRxcHSzWoii7EnhI4QQlUDGzz8T8/IrmNPSULu7U/2dt/Ho0eOu7nks8RjhB8I5lHAIgKrOVRnfcjz9GvRDU5EG/SZfhCObLJuDpl4paPeuAy2HQNAg8L67N17CdkjhI4QQdkzR64kPDydl7ToAnIKCCJw/D4caNe74njGZMSw4tIDtF7db7qlxYniz4YxqPgoXnUupxH3X8jIsA5SPbITLewraHdwtA5RbDoFa91o2BhWVihQ+Qghhp/RXrxIdEkrucctUcp8RI/ALDUF1h11bGfoMPjr2EetPrEdv1qNCRZ/6fZjQagL+rv6lGfqdMZvg4m5LsXPiG/hnd3dQWaaetxwCjR8FhwpSnAmrkMJHCCHsUPoPPxL7yiuYMzNRe3oS8O67uD/U9Y7uZTQb+fLMlyw7sozk3GQA2vm3I6xtGE2rNC3NsO9M0jlLN9aRTZAeXdBepaFl3E7QIPAMtF58okKRwkcIIeyIymAg8Z3ZpG3aBIBzq1YEzgtHFxBQ4nspisJv0b8x78A8LqRdAKCORx1C24TSpWYX6+6cnpMKUf9nWWDw7/0F7U6e0PxJS8ET2Ea6ssQNpPARQgg7ob98mZrLlpMWEwNAlTHP4fvSS6h0uhLf63TyaeYemMufsX8C4OXoxQvBLzCw0UB06pLfr1SYjfilHUHz1f/B6e1gyrO0qzTQ4GFLsXNPb9BV0AUSRYUghY8QQtiBtK1biZ35Ok5ZWai9vQmc8x5uDzxQ4vskZCew+PBivj73NQoKOrWOZ5s+y5gWY3B3cC+DyIsT1EmI3ID2yCY6ZiUUtPs1tRQ7LZ4C92rWiU3YHJsqfHbv3s3cuXM5ePAgsbGxfPXVV/Tr1y//uKIovP7666xcuZLU1FQ6derE8uXLadiwAi6eJYQQpcCcm0v87HdJ/ewzALLr1qHpypU4l3DWVrYhm9VRq1kdtZqcfwYF96rTi4mtJ1LD/c5ngN2x7GTLDuiRn0JsJAAqIE/jhrbVM2haPwvVg6UrS5SYTRU+WVlZBAcHM2rUKPr373/D8ffff59FixaxZs0a6taty2uvvUbPnj05ceIETqWw94wQQlQkeRcuED0phLwzZ0ClwnvMGM7UqU1QteK//TCZTXxz/hsWH15MYk4iAMG+wUxpN4Vg3+CyCv0WwRjg7A7LQOXT34PZYGlXa6FhT4wtBvHDWSO9ez6O5g6674QAGyt8evfuTe9b7CWjKAoLFizg1VdfpW/fvgCsXbuWatWqsWXLFp5++unyDFUIIcpU2tdfEzvrTZTsbDRVqhDw/hwc27eHbduKfY99MfsIPxDOmZQzAAS6BRLSJoQetXuU78Dl2KOWKehHP4PspIJ2/yDLFPQWT4JrVRSDAeV88fMT4mZsqvApysWLF4mLi6Nbt275bZ6ennTo0IF9+/bdsvDJy8sjLy8v/3N6umWPGYPBgMFgKLX4rt+rNO9Zkdh7fmD/Odp7fmAfOZqzs0l89z0ytmwBwLlDe6q9+y5aX99i53ch7QILDi/g95jfAXDTuTGm+RgG3TMIB40DRqOxTHMAICsR9fEvUB/djCrheH6z4uqHufkAzC2ehmrNCs7/19/Jtvz9ux17z7Es8yvuPVWKoiil/vRyoFKpCo3x2bt3L506dSImJobq1avnn/fUU0+hUqnYvHnzTe/zxhtvMGvWrBvaN2zYgIuLLHIlhKg4HOLiqf7ppzgmJKCoVFzr9jDJDz1U7I00M82Z7MzdyQH9AcyYUaOmg0MHujp1xUVd9n/fqc0GqqVHUvPa71RLP4IaMwAmlZY4z1Zc9bmfBI8WKKoKtN2FsBnZ2dkMHjyYtLQ0PDw8bnme3bzxuVMzZswgNDQ0/3N6ejo1a9akR48eRX7hSspgMLBjxw66d++Ozg77pu09P7D/HO09P7DdHBVFIWPLFhKXL0fJzUXj60u1Oe/RsF27QufdKr9cYy4bTm9gVdQqsoxZAHSt0ZWXWr5EbY8y3qNKUVDFHkZ1dDPqU/+HKicl/5A5oDVKi6cxN3sCP2dv/G5zK1v9/pWEvedYlvld77G5HbspfPz9Lculx8fHF3rjEx8fT8uWLW95naOjI46Ojje063S6MvmhK6v7VhT2nh/Yf472nh/YVo7mrCxiZ80i/ZtvAXDt1ImA9+egrVLlltdcz8+smNl+cTsLDy0kNisWgCY+TZjSbgrt/Nvd8vpSkR4LRzdbFhhMOl3Q7l4dgp+G4GdQ+zYCoKTvd2zp+3en7D3HssivuPezm8Knbt26+Pv78/PPP+cXOunp6fz555+88MIL1g1OCCHuQO7p00RPnIT+0iXQaPB96SWqjHkOVTG6tg7FH2Lu/rkcv2YZP1PNpRoTW0/k0XqPolYVr2usxAw5cGqrZaDy+Z2gWLqy0DpB48csa+7U6wIVaed2UenYVOGTmZnJuXPn8j9fvHiRyMhIfHx8qFWrFpMmTeLtt9+mYcOG+dPZAwICCq31I4QQFZ2iKKRu/oz42bNR9Hq01aoROH8eLm3a3Pbaa6ZrhP0Wxs6rOwFw0bowusVohjYdirPWuSyChat/WaagH/8K8tIKjtW811LsNOtn2UpCiArApgqfAwcO0LVrwSZ718fmDB8+nNWrVzN16lSysrIYO3YsqampdO7cme+//17W8BFC2AxTZiZxM2eSvm07AK4PPkDAe++h9fYu8rq0vDSWHV7G5ozNmDJMqFVq+jfsz7iW46jqXLX0A029Ckc3QeRGSD5f0O5ZM78riyr1S/+5Qtwlmyp8unTpQlGT0FQqFW+++SZvvvlmOUYlhBClIycqiujQUAyXr4BWi19ICD4jRxTZtWUwGdh4aiMfHP2AdL1lcOd91e8jrF0YDb1LedV6fRac/NYybufibuCfv491LtC0r+XtTu3OxZ5lJoQ12FThI4QQ9khRFFI+3UDCnDkoBgPagOoEzpuHS6tWRV7z05WfiDgYwdWMqwA08GxAJ2MnJnadWHoDR81muLLX8mbnxBbQZxYcq3O/5c1O08fB0Ur7eAlRQlL4CCGEFZnS04l99TUyfvwRALeHHybgnbfReHnd8prjSceZu38uhxIOAVDFqQrjW43nsdqP8cP3P5ROYMkX4cgmy0Dl1MsF7d51IHiwpTvLu4ynwgtRBqTwEUIIK8k5epTokFAM0dGg01FtShjeQ4fecruImMwYFh5ayLaLlm0bnDRODG82nJHNR+Kqc7371XDzMiBqi6XYubynoN3B3TJAueVgqNVRNgYVNk0KHyGEKGeKopC8Zg0J8+aDwYCuRg0CI+bj3KLFTc/P1Gfy0bGPWHdiHXqzHhUq+tTvw4RWE/B39b+7YMxmuPirpdg5+S0Ysv85oLJMPW852DIV3UFWshf2QQofIYQoR6bUVGJefoXMnZbp5u49elD97bfQ3GSleKPZyJdnvmTZkWUk5yYD0M6/HWFtw2hapendBZJ0zjIF/chmSP+7oL1KQ2j5DAQNAs8ad/cMISogKXyEEKKcZB8+THToZIyxsah0OvxmTMf7mWdu6NpSFIXfon9j3oF5XEi7AEAdjzqEtgmlS80ud75zek4qRP2fZaDy338VtDt5QvMBlp3QA9tIV5awa1L4CCFEGVPMZpI/+YSEiAVgMqGrXYsaERE4Nb3xrc3p5NPMPTCXP2P/BMDL0YsXgl9gYKOB6NR3MFPLZIQLv1imoJ/aCqY8S7tKDQ26WWZlNXoEdLLemagcpPARQogyZExJIWbaNLJ2/waAxyOP4P/mLDRuboXOS8hOYPHhxXx97msUFHRqHc82eZbngp7Dw+EONkxOOGkpdo5+BplxBe1+TS3FTtBT4H6X44OEsEFS+AghRBnJPnCA6MlhGOPjUTk6Uu2Vl/EaOLBQV1W2IZvVUatZHbWaHGMOAL3q9GJi64nUcC/hGJvsZOom7kDzyXyIjSxod/aBFgMtA5WrB0tXlqjUpPARQohSppjNXPvwQxIXLQazGYe6dQlcEIFTo0b555jMJr45/w2LDy8mMScRgGDfYKa0m0Kwb3DxH2YywNkdcGQD2tPfE2T+Z0q7WgsNe1oGKjfsCVqH0kxRCJslhY8QQpQiY1ISMVOnkbV3LwCefR/Hf+ZM1K6u+efsi9nHvAPzOJ1yGoBAt0BC2oTQo3aP4g9cjjtW0JWVnQSACkh1ro1757FoWj4NrmWwR5cQNk4KHyGEKCVZf/xJ9JQwTIlJqJyc8J85E6/+T+Qfv5B6gXkH57H7790AuOvcGRs0lsFNBuOgKcYbmcxEOPaZZVZW/LGCdldfCBqEodlAfj14mUfaP4KmtLasEMLOSOEjhBB3STGZSFq+gqRly8BsxrFhAwIjInBs0ACAaznXWH5kOV+c+QKTYkKr0vJUo6d4Pvh5vJ2K3nUdYx6c+cHydufcDjAbLe0aB2jU27J9RIOHQaMDgwG4XOTthKjspPARQoi7YEhIIGbKVLL/tEw/9xzQH/9XX0Xt7EyeKY91J9bx0bGPyDJkAdC1ZldC24RSx7POrW+qKBBz2FLsHP8CclIKjgW2sczKaj4AXHzKMDMh7JMUPkIIcYcy9+whZuo0TNeuoXJxofobr+P5+OOYFTNbL2xl4aGFxGbFAtDEpwlT2k2hnX+7W98wPRaObrZsH5F4qqDdvbplJeWWg8G30a2vF0LclhQ+QghRQorRSOKSJVz74ENQFBwbNbJ0bdWry6H4Q8zdP5fj144DUM2lGhNbT+TReo+iVqlvvJkhx7Kw4JGNcH4nKGZLu9bJskdWy2egXldQa8oxQyHslxQ+QghRAoa4OKLDwsg5cBAAr0GDqDZjOn/rE4j4JYSfrvwEgLPWmedaPMfQpkNx1joXvomiwN/7IfJTOP4V5KUVHKt5r6XYafaEZSsJIUSpksJHCCGKKfPXX4mZNh1TaipqV1eqv/UmysOdCD+6iI2nNmI0G1Gr1PRv2J9xLcdR1fk/08lTr8LRTZZZWcnnC9o9a0Lw05axO1Xql29SQlQyUvgIIcRtKAYDCQsWkPzxJwA4NW2KX/j7/F/uXlb83yOk69MB6BTYicltJtPQu2HBxfosOPmd5e3Oxd2AYmnXuUDTvpZip879oL5JN5gQotRJ4SOEEEUwxMQQHTqZnMhIALyfHcLxQW0YH/kSVzKuANDAqwFT2k7hvsD7LBeZzXBln2VW1oktoM8suGGd+y3FTtPHwdG9fJMRQkjhI4QQt5KxcycxM17GnJaG2t0dw/T/Mc1lN4f2bgagilMVxrcazxMNnkCj1kDKJTiyyVLwpP5rPR3vOpb1doIHWf5bCGE1UvgIIcR/KHo9CfPmk7xmDQCapo3Y/GwNPstYAJngpHFiWLNhjGo+Clez2TIjK3IDXN5TcBMHd2jWzzIFvVZH2RhUiApCCh8hhPgX/d9/Ex0SSu4xy5YQl3q34PXgc+RkWAYjP17/cSYEj8c/8TR8GwInvwVD9j9Xq6BeF0ux0/gxcHCxThJCiFuSwkcIIf6R/uOPxL7yKuaMDIxuTnzYx5FddU4C0M6/HWENn6bpxT9hZTdI/7vgwioNLMVO0CDwrGGl6IUQxSGFjxCi0jPn5ZHw/lxSPv0UgMu1nHjvMQPXPI3Uca9JqFdrulz4A9W+gQUXOXlato0IHgw12kpXlhA2QgofIUSlpr98mb9DQsg7YXmz8/W9KjY9YMDd0Y0ZqioMjNqPzvTP2B2VGhp0s8zKavQI6JysGLkQ4k4Uu/CJiYkhICCgLGMRQohylb5tGzGvvYaSlU26Myx9TM3xBlqGZhsY8/cpPMz/rLnj2+SfrqynwN3fukELIe5KsQufZs2asXTpUgYPHlyW8QghRJkz5+Zy9c1ZZH7+JQAnasKixzW0U2fzzdVUahhN4OwDLQZato+o3lK6soSwE8UufN555x3+97//8dVXX/HBBx/g4+NTlnEJIUSZ0CbEc+LJPjhdjscMfHWfilPtjCxMTaKlwQwNe1mKnYY9Qetg7XCFEKWs2IXPiy++SO/evRk9ejRNmzZl5cqV9OnTpyxjsxuKopCtN5Jngmy9EZ1if/9yNBjsOz+w/xztPT+AIyteIXDltzgaINUFNj4Cj3imMIN6mO6fSHaz/uDqaznZDOiNVo23pOz9e2jv+YH953g9P0VRrBaDSrmDpy9ZsoSQkBCaNGmCVlu4djp06FCpBWcN6enpeHp6kpaWhoeHR6ncM1tvpOnMH0rlXkKIkqlCGt1039Mq6gDBJyx/3Z2sBUkPGDDlteFrYxdOKbWsHKUQlcuR1x7C09W5VO9Z3N/fJZ7VdfnyZf7v//4Pb29v+vbte0PhUxEsXbqUuXPnEhcXR3BwMIsXL6Z9+/bWDksIUU50GHlIfYieDr9ymSs0/8mRGkmWlzh/tnVkV51H2ZvZHqNMbBWi0inR//UrV65k8uTJdOvWjaioKHx9fcsqrju2efNmQkNDWbFiBR06dGDBggX07NmT06dP4+fnZ5WYnHUajrz2ED/88CM9e/ZAp9NZJY6yZDAY7Do/sP8cbT4/RUEdF4nm6CZMJ77kU52RvVc9eHaHI45GyHLT4PRaGG4mbxbbao63YfPfw9uw9/zA/nO8np+zTmO1GIpd+PTq1Yu//vqLJUuWMGzYsLKM6a7Mnz+fMWPGMHLkSABWrFjB1q1b+eSTT5g+fbpVYlKpVLg4aHHUgIuDFp3O/v6VaVApdp0f2H+ONptfRhwc3QyRG1EST7Ld1YXl7l48ulPF6OOWri1j2+a0XLgCxcOD89u22V6OxWSz38Nisvf8wP5zvJ6fyoqzJIv9VTWZTBw9epQaNSrucux6vZ6DBw8yY8aM/Da1Wk23bt3Yt2/fTa/Jy8sjLy8v/3N6ejpgqUoNBkOpxXb9XqV5z4rE3vMD+8/RpvIz5qI6sx310c2oLuxEpZg57OjA+wHVSU/TMulTEzWuKShqFT7jxuHz3HMoarVt5XgHJD/bZ+85lmV+xb3nHQ1urqhiYmIIDAxk7969dOzYMb996tSp/Prrr/z55583XPPGG28wa9asG9o3bNiAi4tsMChEhaEoeGefo+a136mR+ic6k2Vj0KtaLe/51mC3o4mHIxVG/mTGwQgGDw/iBj9DTt26Vg5cCFEesrOzGTx4cOkPbrY3M2bMIDQ0NP9zeno6NWvWpEePHqU2qwssleiOHTvo3r273fbb2nN+YP85Vtj80qNRH/sM9dFNqJLP5zenegbyQc3GbMq+gC7XyMRvFDqdMAPg0rkz1Wa/QxNv70K3qrA5lhLJz/bZe45lmd/1HpvbsavCp2rVqmg0GuLj4wu1x8fH4+9/82XmHR0dcXR0vKFdp9OVyQ9dWd23orD3/MD+c6wQ+emz4OR3cGQDXPgV+OfFtM4FQ+PH2OQXyIq/d5CedZY6cQovf+eAV2IOaLX4hUzCZ+RIVGr1LW9fIXIsQ5Kf7bP3HMsiv+Lez64KHwcHB9q0acPPP/9Mv379ADCbzfz888+MHz/eusEJIYqmKHB5r6XYidoC+syCY7U7owQ/w88enkQcXcGVC3+AovDsyar02XYNlSEHbUB1AufNw6VVK6ulIISo+Oyq8AEIDQ1l+PDhtG3blvbt27NgwQKysrLyZ3kJISqYlEtwZBNEboDUywXt3nUgeDAED+K4KZO5++dy6JhlgdQaijev7/bDc28UAG4PPUTA7HfQeHmVe/hCCNtid4XPoEGDSExMZObMmcTFxdGyZUu+//57qlWrZu3QhBDX5WXAia8hciNc/r2g3cEdmvWFlkOgVkdis+JYcGgB2y5uA8BJ48R4p550XP4Hpugo0OmoFjYZ72HDrDo9VghhO+yu8AEYP368dG0JUdGYzXBpt6XYOfkNGLL/OaCCeg9aip3Gj4GDC5n6TD46tJB1J9ahN+sBeLxeH8acCiBnzoeYDAZ0NWoQGDEf5xYtrJeTEMLm2GXhI4SoQK6dt3RjHd0MaVcL2qs0gOBnIPhp8LSsD2Y0G/m/05+xNHIpybnJALSt1pawRv/DI3w9mT9/BYB7jx5Uf/stNKU481IIUTlI4SOEKH05qRD1FRzZCFf/tX6Woyc07295u1OjLfzTPaUoCr9F/8b8A/M5n2aZsl7How4hbUK495oP0aNDyYyJRaXT4Td9Gt6DB0vXlhDijkjhI4QoHWYTnP/FMivr1FYw5lraVWqo/zC0fAYaPQo6p0KXnU4+TfiBcP6I/QMAL0cvng9+noENnyRjzXouR0wEoxFdrVqWrq1mzco7MyGEHZHCRwhxdxJOWYqdI5shM66g3bcJtBwMQU+B+43raCVkJ7Dk8BK2nNuCgoJOrWNIkyGMCRqDS5aJmHEvkfXrbgA8HumN/5tvonFzK6+shBB2SgofIUTJZSfD8S8tY3diDhW0O3tDi4GWgqd6y/yurEKXGrJZE7WGVVGryDHmANCzTk8mtp5ITfeaZB84wMXJYRjj41E5OlLt5ZfxemqgdG0JIUqFFD5CiOIxGeDcT5Zi5/R2MP+zIaBaCw17WIqdhj1B63Dzy80mvjn/DUsOLyEhJwGAIN8gprSdQku/lihmM0krPiBx8WIwmXCoW5fABRE4NWpUXhkKISoBKXyEEEWLO2aZgn7sM8hKLGj3b2FZYLDFQHDzLfIWf8b+SfiBcE4lnwIg0C2QSW0m0bN2T1QqFcZr14iZOo2sPXsA8Oz7OP4zZ6J2dS2ztIQQlZMUPkKIG2UmwrHPLWN34o4VtLv6QounLAOV/W+/fs6FtAvMPzCfX//+FQB3nTtjg8YyuMlgHDSWN0NZf/5FTFgYxsREVE5O+L/2Gp79n5CuLSFEmZDCRwhhYdJTPXU/ms82wPmfwGy0tGsc4J5elq6sBt1Ac/uNAJNzk1kWuYwvznyBSTGhVWl5qtFTPB/8PN5Olh3TFZOJpOUrSFq2DMxmHBrUp0ZEBI4NG5ZllkKISk4KHyEqM0WB2EiI3ID22Be0z0kuOBbQ2lLsNB8ALj7Ful2eKY/1J9az8thKsgxZAHSp2YXQNqHU9aybf54xMZHoKVPJ/sMyhd1zQH/8X30VtbNzqaUmhBA3I4WPEJVRRpxlJeXIjZB4EgAVkKv1QtduKJpWz4Jf42LfTlEUtl/czsJDC4nJigGgiU8TprSbQjv/doXOzdq7l+gpUzFdu4bKxYXqr8/Es2/fUktNCCGKIoWPEJWFIRdOb7UUO+d/BsVsadc4QpPHMDZ/ih9PZdP7oT5odLfvzrrucMJh5u6fy7Eky1ggPxc/JraeyGP1HkOtUuefpxiNJC5ZwrUPPgRFwfGeewhcEIFjvXqlmqYQQhRFCh8h7JmiwN/7LVPQo/4PctMKjtXsYNkrq9kT4OyFYjCgnN5W7FtfTb9KxKEIdlzeAYCz1pnRzUczrNkwnLWFu6wM8fHETA4j+8ABALwGDaLajOmonZxuuK8QQpQlKXyEsEdpf8ORTZa9sq6dK2j3qGHZFDT4Gaja4M5unZfGB0c/YOOpjRjNRtQqNU80eILxrcZT1bnqDedn7t5NzLTpmFJSULu64v/mLDwfffROMxNCiLsihY8Q9kKfDSe/tUxBv/AroFjadS7Q5HHLFPQ6D4BaXeRtbsVgMrDp9CZWHFlBuj4dgE4BnQhtG8o93vfccL5iMJC4cCHXPvoYAMemTagREYFD7dp39HwhhCgNUvgIYcsUBS7vtRQ7UV+DPqPgWO3OlmKnaV9wdL+LRyjsvLKT+QfncyXjCgANvBowue1kOgd2vuk1hpgYoieHkXP4MADeQ4bgN3UKakfHO45DCCFKgxQ+QtiilEsFXVkplwravWpbpqAHPw3ede76MVFJUby//30OJVj24/Jx8mF8q/E80eAJtOqb//WRsfMXYmbMwJyWhtrdnepvv41Hzx53HYsQQpQGKXyEsBV5GXDia8usrMu/F7Q7uEGzfpbtI2p1vOOurH+LzYxl4eGFbL2wFQBHjSPDmg5jdIvRuOpuvo2EoteTMD+C5NWrAXBq0YLA+fNwqFnzruMRQojSIoWPEBWZ2QyXfrPMyjr5DRiy/zmggnoPWoqdJo+BQ+nsaZWr5LI4cjEbTm8gz5QHQJ96fXip9Uv4u/rf8jr9338THTqZ3KNHAfAZPgy/yZNROdx8w1IhhLAWKXyEqIiunbcUO0c3Q9rVgvYqDSwzsoKfBs8apfY4o9nIF2e/YGH6QrLSLCsut63WlrB2YTSr0qzIa9N//JHYV17FnJGB2tOTgHdn4/7QQ6UWmxBClCYpfISoKHLTIOorS8Fz9c+CdkdPaN7fMnanRjsoxc07FUXht+jfmH9gPufTzgNQ2702oW1D6Vqza5EbhZr1ehLmvE/Kp58C4BwcTOD8eegCA0stPiGEKG1S+AhhTWYTXPjFUuyc2grGXEu7Sg31H7bMymr0COhKfw+r08mnCT8Qzh+xlv2yvBy96KTuxMxHZ+Li6FLktfrLl4kOCSX3xAkAqjw3Gt+JE1GVYMVnIYSwBil8hLCGhFOWKehHP4OM2IJ23yaWYqfFU+BRvUwenZidyJLIJXx19isUFHRqHUOaDGFkk5H89tNv6NRFFy/p27cT++prmLOy0Hh5ETDnPdwefLBMYhVCiNImhY8Q5SU7GY5/aXm7E3OooN3ZG1oMtIzdCWhVql1ZhR5vyGbNiTWsOr6KHGMOAD3r9GRi64nUdK+JwWAo8npzbi7x771H6qbNlrDbtCFwXjg6/1sPehZCiIpGCh8hypLJAOd+hshP4cz3YNJb2tVaaNjDUuzc0xO0Zbewn8ls4pvz37Dk8BISchIACPINYkrbKbT0a1mse+RduEh0SAh5p0+DSkWV/43Fd/x4VFr5K0QIYVvkby0hykLcccubnWOfQVZiQbt/C8sU9BYDwc23zMP4M/ZPwg+Ecyr5FACBboFMaj2JnnV6Fjlw+d/Svv2W2NffQMnORuPjQ8Dc93Hr1KkswxZCiDIjhY8QpSUrCY59bnm7E3esoN2lKgQNsozd8W9RLqFcSLvA/APz+fXvXwFw17kzJmgMg5sMxlFTvLdL5pwc4t55h7QvvgTApUMHAua+j87Pr8ziFkKIsiaFjxB3w6iHsz9Y3u6c/RHMRku7WgeNelumoDfoBpryme2UnJvMsshlfHHmC0yKCY1Kw1ONnuKF4BfwdvIu9n3yzp2zdG2dPQcqFVVffJGqL76ASqMpw+iFEKLsSeEjREkpCsQc/qcr6wvISS44FtAKWg6B5gPAxafcQsoz5bH+xHo+OvYRmYZMALrU7EJom1DqetYt0b3St3xN4uzZKDk5aHyrEjh3Lq733lsWYQshRLmTwkeI4sqIo378NrQrZ0PiqYJ2N38IHmQZu+PXuFxDUhSF7Re3s/DQQmKyYgBo4tOEsLZhtK/evkT3MmdnU23zZyQcssw4c73vPgLen4O2atVSj1sIIaxFCh8himLIhdPbIHID2vM/01wxW9o1jpY9soIHQ70uoCn//5UOJxxm7v65HEuyjCfyc/FjYuuJPFbvMdSqkm1Umnv6DH9PmoTnxYugVuP70gSqjB2LqhQ2PBVCiIrEZgqfd955h61btxIZGYmDgwOpqak3nHPlyhVeeOEFfvnlF9zc3Bg+fDjvvvsuWplyK0pCUeDvA5YFBo9/adlKAlABya4N8HjgBbRBT4Kzl1XCu5p+lYhDEey4vAMAZ60zo5qPYniz4ThrS7bCs6IopH7+OfHvzEbJy8Po4UHthQvw6NixLEIXQgirs5mKQK/XM3DgQDp27MjHH398w3GTycSjjz6Kv78/e/fuJTY2lmHDhqHT6Zg9e7YVIhY2Jy0ajm6CyI1w7WxBu0cNCH4aQ7Mn+e3PMzzS+hGwwtYMaXlpfHj0Qzac2oDRbEStUvNEgycY13Icvi4lnxpvyswi7vXXSd+6FQCXzp051rULjdu2LeXIhRCi4rCZwmfWrFkArF69+qbHf/zxR06cOMFPP/1EtWrVaNmyJW+99RbTpk3jjTfewMHBoRyjFTZDnw2nvrNMQb/wK6BY2nUu0ORxyxT0Og+AWg0GA3Cm3EM0mAxsPr2ZFUdXkJZneft0X8B9TG47mXu877mje+aeOMHfISEYLl8BjQa/0BDcn32WyO+/L83QhRCiwrGZwud29u3bR4sWLahWrVp+W8+ePXnhhReIioqiVatWN70uLy+PvLy8/M/p6ekAGAyG2y7hXxLX71Wa96xIbCo/RUF19Q/URzehOvk1Kn1m/iFzrfswBz2N0rgPOLpbGk0mMJnKPUdFUfjl719YeHghVzOvAlDfsz6TWk2iU0CnO4pFURTSN28maW44il6P1t+fanPn4twy2La+h3fI3nOU/GyfvedYlvkV954qRVGUUn96GVq9ejWTJk26YYzP2LFjuXz5Mj/88EN+W3Z2Nq6urmzbto3evXvf9H5vvPFG/tukf9uwYQMuLkXvUC1si3NeIjWT91Ar+Xdc9Qn57VkOvlz16cxVn05kO1aMxfmijdFsz9nOJdMlAFxVrnRz6kZrh9ZoVHe2lo46J5dqX36J+zHLYOjMpk2IGzgQs/ycCyHsQHZ2NoMHDyYtLQ0PD49bnmfVNz7Tp09nzpw5RZ5z8uRJGjcuuynCM2bMIDQ0NP9zeno6NWvWpEePHkV+4UrKYDCwY8cOunfvjs4K40PKWoXNT5+J6uS3qI9uRH1lb36z4uCK0qQf5qBBONS8l/oqNfVvc6vyyDE2K5YlR5aw/dJ2ABw1jjzb+FlGNB2Bq871ju+bGxVF3OQwjNHRoNVSNSSE+kOfpeW/tq2osN/DUmTvOUp+ts/ecyzL/K732NyOVQufyZMnM2LEiCLPqVevXrHu5e/vz19//VWoLT4+Pv/YrTg6OuLoeOMS/jqdrkx+6MrqvhVFhcjPbIZLv8GRjXDiazBk/3NABXUfgJZDUDV5DJWDK3cyWbsscswyZPHxsY9Ze2IteSZL12ufen14qfVL+Lve+e7niqKQsm4d8XPDwWBAFxhIYMR8nIOCbnlNhfgeljF7z1Hys332nmNZ5Ffc+1m18PH19cXXt3Q2auzYsSPvvPMOCQkJ+P2zl9COHTvw8PCgadOmpfIMUcFdO28pdo5sgrSrBe0+9S1bRwQNAq+a1ovvJoxmI/939v9YGrmU5FzLCtBtq7UlrF0Yzao0u6t7m9LSiHnlFTJ/+hkA9+7dqf7O22hK8U2mEELYGpsZ3HzlyhWSk5O5cuUKJpOJyMhIABo0aICbmxs9evSgadOmDB06lPfff5+4uDheffVVxo0bd9M3OsJO5KZB1FeWKehX/yhod/SE5k9Yto+o0Q6KuRN5eVEUhd+if2P+gfmcTzsPQG2P2oS2CaVrza7F3jn9VnIiI4kOnYwhJgaVTofftGl4Dxl81/cVQghbZzOFz8yZM1mzZk3+5+uztH755Re6dOmCRqPhu+++44UXXqBjx464uroyfPhw3nzzTWuFLMqK2QQXfrEUO6e+A2OupV2lhvoPWd7uNHoEdCVbzK+8nE4+TfiBcP6ItRRqno6evBD8Ak/d8xS6u9zMVDGbSV61moSICDAa0dWqZenaanZ3b4+EEMJe2Ezhs3r16luu4XNd7dq12bZtW/kEJMpf4mnLxqBHN0NGbEG7b2MIfsbSleVR3Xrx3UZidiJLIpfw1dmvUFDQqXUMbjyYMUFj8HT0vOv7G1NSiJ0+g8xffwXA45He+L/5Jho3t7u+txBC2AubKXxEJZWdbNk24shGiD5Y0O7sDc2ftLzdCWhV4bqy/i3bkM2aE2tYdXwVOcYcAHrU7sGkNpOo6V46Y46yDx4kenIYxrg4VA4OVHvlFbyeGihdW0II8R9S+IiKx2SAcz9b9so6vR1Meku7SgMNe1iKnXt6grZij90yK2a+Of8Niw8tJiHHsm5QkG8QU9pOoaVfy1J5hmI2c23lRyQuWgQmEw516hC4cAFOjRqVyv2FEMLeSOEjKo6445Y3O0c3Q1ZiQXu1FpZip8VAcCudWYBl7c/YPwk/EM6p5FMABLoFMqn1JHrW6Vlqb2GM164RM3UaWXv2AODxeB+qv/46atc7X+9HCCHsnRQ+wrqykuDY55axO3FHC9pdqkLQU5axO9VvveZMRXMh7QLzD8zn178t42zcdG6MDRrL4CaDcdSU3huqrD//IiYsDGNiIionJ/xfexXP/v2la0sIIW5DCh9R/ox6OPuDZVbW2R/AbLS0q3XQqJdlCnqDbnCXM5zKU3JuMssil/HFmS8wKSY0Kg0D7xnICy1fwMfJp9Seo5hMJK1YQdLSZWA249CgPjUiInBs2LDUniGEEPZMCh9RPhQFYiMtxc6xzyEnueBYQCtLsdN8ALiUXpFQHvJMeXx68lNWHl1JpsGy2WmXGl0IaRtCPc/irTpeXMbERKKnTCX7j3+mwffvj/+rr6CWvbaEEKLYpPARZSsjDo5+Zhm7k3CioN3N39KV1XIw+DWxXnx3SFEUvr/0PQsOLiAmKwaAJj5NCGsbRvvq7Uv9eVl79xI9dRqmpCRULi5Uf30mnn37lvpzhBDC3knhI0qfIRdOb7MUO+d+AsVsadc4QuNHLW936nUBjW3++B1JPELE4QiOJlnGJPm5+PFSq5foU78PatWd7P51a4rRSOLSpVxb8QEoCo733EPggggci7mHnRBCiMJs8zePqHgUBe+sc6i3h8GJryxbSVxXoz20fAaa9QdnL6uFeLeuZlxlY9ZGonZEAeCsdWZU81EMbzYcZ23prxJtiI8nZnIY2QcOAOD11FNUe3kGaienUn+WEEJUFlL4iLuTFg1HN6GN3MAD184VtHsEQvDTlllZVW174G1aXhofHv2QDac2YDQbUavUPNHgCca1HIevS9lMr8/87Tdipk7DlJKC2sUF/7fexPPRR8vkWUIIUZlI4SNKTp9t2SMrcgNc2AUoqACjygF1s76oWw2Bug+AWmPlQO+OwWRg8+nNrDi6grQ8yxusBtoGvNPjHZr6Ni2TZyoGA4mLFnNt5UoAHJs2ocb8+TjUqVMmzxNCiMpGCh9RPIoCV/ZZip2oLaDPKDhWuxPGFoP44YojPfoMQK2znWnoN6MoCjuv7CTiUASX0y8D0MCrARNbTiQtMo2GXmXzBssQG0t06GRyDh8GwHvwYPymTUXtWLFXqBZCCFsihY8oWsplOLLJMlA55WJBu1dtSzdW8NPgUxfFYMAYbfsbxEYlRTH3wFwOxlv2BfNx8mF8q/E80eAJFJPCtsiyyTHjl1+InT4DU1oaajc3qr/9Nh69epbJs4QQojKTwkfcKC8TTnxtKXYu/VbQ7uAGTftZpqDX6gjq0p3BZE2xmbEsPLyQrRe2AuCocWRY02GMbjEaV51lCwiDyVDqz1X0ehLmR5C8ejUATs2bExgxH4eapbN5qRBCiMKk8BEWZrOlyDmyEU58A4asfw6oLON1Wg6GJn3Awb72gcoyZPHxsY9Ze2IteaY8AB6r9xgTW0/E39W/TJ+t/zua6NBQco9apsX7DB+G3+TJqBwcyvS5QghRmUnhU9ldO28pdo5sgrSrBe0+9S1T0IOeBi/7e/tgNBv5v7P/x9LIpSTnWlaRblOtDVPaTqFZ1WZl/vz0HTuIfeVVzOnpqD08CHh3Nu4PP1zmzxVCiMpOCp/KKDcNor6ybB9x9Y+CdkdPaP4EBA+Gmu3BDje8VBSF36N/Z96BeZxPOw9AbY/ahLQJ4aGaD5X5Jp9mvZ6E9+eSsn49AM7BwQTOn4cuMLBMnyuEEMJCCp/KwmyyTD2P3GCZim7MtbSr1FD/IctA5caPgq70F+KrKE4nn2begXnsi90HgKejJy8Ev8BT9zyFrhw2RNVfuUJ0SCi5UZYFEH1Gj8Jv0iRUNj4LTgghbIkUPvYu8bSl2Dn6GWTEFLT7NrYUO0GDwKO69eIrB4nZiSyJXMKWc1swK2a0ai1DGg9hTNAYPB09yyWG9O+/J/bV1zBnZqLx8qL6e+/i3qVLuTxbCCFEASl87FF2Mhz/0jJ2J/pgQbuTF7QYaBm7E9DaLruy/i3bkM2aE2tYdXwVOcYcAHrU7sGkNpOo6V4+45bMeXnEv/ceqRs3AeDcpg2B88LR+ZftwGkhhBA3J4WPvTAZLRuCHtkAp7eDSW9pV2mgYQ9LsXNPL9Da/2J4ZsXMt+e/ZdGhRSTkJAAQVDWIsHZhtPJrVW5x5F28SHRIKHmnToFKRZWxY/GdMB6VVv63E0IIa5G/gW1d3HHLm52jn0FWQkF7tRaWYqfFQHDzs1585eyv2L8IPxDOyeSTAAS4BjCpzSR61elV5gOX/y3t2++Ie/11zNnZaHx8CHj/fdw6dyq35wshhLg5KXxsUVYSHPvcMnYn7mhBu0tVCHrKMnanepD14rOCC2kXiDgQwa6/dwHgpnNjTNAYhjQZgqOm/N5ymXNyiJ89m9TPvwDApX17AubORVet8hSfQghRkUnhYyuMejj7g2UK+tkfwGy0tKt10KiXZQp6w+5QDrOTKpLk3GSWRy7n8zOfY1JMaFQaBt4zkBdavoCPk0+5xpJ3/jzRk0LIO3sWVCqqvvgiVV98AZXGtjdrFUIIeyKFT0WmKBB7xPJm59jnkJNccCyglaXYafEkuJTvL/iKIM+Ux6cnP2Xl0ZVkGjIB6FKjCyFtQ6jnWa/c40n9agtxb76JkpODxrcqgXPn4nrvveUehxBCiKJJ4VMRZcTD0c2WsTsJJwra3fwtXVktB4NfE+vFZ0WKovD9pe9ZeGgh0ZnRADTxaUJY2zDaV29f7vGYs7OJm/UmaV9/DYDrfR0JeP99tFWrlnssQgghbk8Kn4rCkAtntlve7pz7GRSTpV3jaFlYsOVgqNcVNJX3WxaZEMnc/XM5mmQZ1+Tn4sdLrV6iT/0+qFXlv2Fq7ukzRIeEoL9wAdRqfF+aQJUxY6RrSwghKrDK+1u0IlAUyzo7kZ9a1t3JTSs4VqO9ZVZWsyfA2dt6MVYAV9OvEnEogh2XdwDgrHVmVPNRDG82HGdt+a80rSgKKZ9/Tvzb76Dk5aH18yNwXjgu7dqVeyxCCCFKRgofa0iLtnRlRW6Aa2cL2j0CIfhpy6ysqg2tF18FkZaXxodHP2TDqQ0YzUbUKjVPNHiCcS3H4evia5WYVHl5xE+fQea2bQC43n8/AXPeQ+tT+cZZCSGELZLCp7wYsglM3otmwydw8VdAsbRrnaHp45Zip+4DoJZuEoPJwObTm1lxdAVpeZa3YB2rd2Ry28k08mlktbjyTp2i9qLFZCYlgUaDX8gkfEaNQqUu/242IYQQd0YKn/KQFo12aXva6jML2mp3shQ7TfuCk4f1YqtAFEVh59WdRByM4HL6ZQDqe9ZnctvJdA7sXK4LEP43rtRNm4h/9z0c9Hq0/v4Ezp+PS+vyWwVaCCFE6bCJf6peunSJ0aNHU7duXZydnalfvz6vv/46er2+0HlHjx7l/vvvx8nJiZo1a/L+++9bKeL/8AgAz5pkOfhiun8KvBQJI7dB66FS9PwjKimKkT+MZNIvk7icfhkfJx9eu/c1vnj8C+6vcb/Vih5TRgbRIaHEzXoTRa8ns0kTan7+mRQ9Qghho2zijc+pU6cwm8188MEHNGjQgOPHjzNmzBiysrIIDw8HID09nR49etCtWzdWrFjBsWPHGDVqFF5eXowdO9a6CahUGJ/5jJ92H+SRBx5Do6tciwwWJS4rjoWHFvLdhe8AcNQ4MqzpMEY1H4Wbg5tVY8s5dpzo0FAMV6+CVkvVkBDOVPGhpZeXVeMSQghx52yi8OnVqxe9evXK/1yvXj1Onz7N8uXL8wufTz/9FL1ezyeffIKDgwPNmjUjMjKS+fPnW7/wAXCvDlaYcl1RZRmy+PjYx6w9sZY8Ux4Aj9V7jJdavUR1t+pWjU1RFFLWrSd+7lwwGNAFBhIYMR9tkybwz6BmIYQQtskmCp+bSUtLw+dfM2n27dvHAw88gIODQ35bz549mTNnDikpKXh733xKeF5eHnl5efmf09PTATAYDBgMhlKL9/q9SvOeFUlx8zOajWw5v4UVx1aQnGtZibq1X2tCW4XStErTYt2jLJnS0kl4/XWyfv4ZANeHH8bvzVloPDzke2gH7D1Hyc/22XuOZZlfce+pUhRFKfWnl7Fz587Rpk0bwsPDGTNmDAA9evSgbt26fPDBB/nnnThxgmbNmnHixAmaNLn5SsdvvPEGs2bNuqF9w4YNuLi4lE0CldQZwxm+z/meBLNlF/kq6ir0dOpJE10Tq43h+TenK1eovmEDupRUzBoNSY89SmrHjlABYhNCCFG07OxsBg8eTFpaGh4etx4/a9U3PtOnT2fOnDlFnnPy5EkaN26c/zk6OppevXoxcODA/KLnbsyYMYPQ0ND8z+np6dSsWZMePXoU+YUrKYPBwI4dO+jevTs6OxzjU1R+Z1PPEnEogj9S/wDA08GTMc3HMLDhQHQVYFNVRVFIXbuWax98CEYjupo1qTZ3Lvc0a1rovMr8PbQX9p6j5Gf77D3Hsszveo/N7Vi18Jk8eTIjRowo8px69Qo2nIyJiaFr167cd999fPjhh4XO8/f3Jz4+vlDb9c/+/v63vL+joyOOjo43tOt0ujL5oSur+1YU/84vKSeJJYeX8NW5rzArZrRqLYMbD2Zs0Fg8HT2tHKmFMSWFuBkvk7lrFwDuvXtR/a230LjdemB1Zfoe2it7z1Hys332nmNZ5Ffc+1m18PH19cXXt3gr8EZHR9O1a1fatGnDqlWrUP9n0biOHTvyyiuvYDAY8pPfsWMHjRo1uuX4HlE2cow5rIlawyfHPyHHmANA99rdCWkdQk2PmlaOrkD2oUNEh07GGBeHysGBai+/jNegpypEt5sQQoiyYRODm6Ojo+nSpQu1a9cmPDycxMTE/GPX3+YMHjyYWbNmMXr0aKZNm8bx48dZuHAhERER1gq70jErZr698C1Ljy4lIdsyjieoahBh7cJo5Vdx1r1RzGauffQxiQsXgsmEQ506BC6IwOlfXapCCCHsk00UPjt27ODcuXOcO3eOGjVqFDp2fWy2p6cnP/74I+PGjaNNmzZUrVqVmTNnVoyp7JXA/vj9LM9cTuwfsQAEuAYwqc0ketXpVaHeoBiTk4mZNp2s334DwKNPH/xffx2Nm6uVIxNCCFEebKLwGTFixG3HAgEEBQXx2z+/0ET5uJB2gYgDEez6excAbjo3xgSNYUiTIThqbhw7ZU1Zf/1FTNgUjAkJqJyc8H/tVTz7969QhZkQQoiyZROFj6h4knOTWR65nM/PfI5JMaFRaWira8vsx2bj5+5n7fAKUUwmkj74gKQlS8FsxqF+fQIj5uN0zz3WDk0IIUQ5k8JHlEieKY9PT37KyqMryTRYNl3tUqMLE4IncHLPSbydKtZAcmNiItFTp5K975+p9E88gf9rr6KWNZqEEKJSksJHFIuiKHx/6XsWHlpIdGY0AI19GhPWNowO1TtgMBg4yUkrR1lY1r59RE+ZiikpCZWzM/6vz8SrXz9rhyWEEMKKpPARtxWZEMncA3M5mngUAD9nPya0nkCfen3QqDVWju5GislE0tJlJC1fDoqC4z33ELggAsd/rQklhBCicpLCR9zS1YyrLDi4gB8v/wiAs9aZkc1HMrzpcFx0FbOryBCfQExYGNn79wPgNXAg1V55GbWTk5UjE0IIURFI4SNukJaXxsqjK9lwagMGswEVKp5o+ATjW47H16V4C05aQ+ZvvxMzdSqmlBTULi74v/kmno89au2whBBCVCBS+Ih8BrOBz05/xvIjy0nLSwOgY/WOTG47mUY+jawc3a0pRiOJCxdxbeVKABybNKFGxHwc6tSxbmBCCCEqHCl8BIqisPPqTiIORnA5/TIA9T3rM7ntZDoHdq7Q69wYYmOJnhxGzqFDAHgPfga/adNQ32T/NSGEEEIKn0ou6loU4fvDORB/AAAfJx/GtRxH/4b90aor9o9Hxq5dxE6bjiktDbWbG9XffhuPXj2tHZYQQogKrGL/ZhNlJi4rjkWHFvHthW8BcNQ4MrTpUEY3H42bw613Jq8IFIOBhPkRJK9aBYBT8+YERszHoWbF2QBVCCFExSSFTyWTZcji42Mfs/bEWvJMeQA8Wu9RJraaSHW36laO7vb0f0cTPTmU3COWqfXew4biFxaG2sHBypEJIYSwBVL4VBJGs5Gvzn3F0sNLuZZ7DYDWfq2Z0m4Kzas2t3J0xZPx00/EvPwK5vR01B4eBMx+B/du3awdlhBCCBsihU8l8Hv078w7MI9zqecAqOVei9A2oTxU66EKPXD5OrNeT0J4OClr1wHgHBxM4Px56AIDrRyZEEIIWyOFjx07k3KGeQfmsTdmLwCejp48H/Q8gxoNQqfRWTm64tFfuUJ0SCi5UVEA+IwahV/IJFQ624hfCCFExSKFjx1KykliyeElfHXuK8yKGa1ay+DGgxkbNBZPR09rh1ds6d9/T+yrr2HOzETj5UX1997FvUsXa4clhBDChknhY0dyjDmsiVrDJ8c/IceYA0D32t0JaR1CTQ/bmfFkzssj/r33SN24CQDn1q0tXVv+/laOTAghhK2TwscOmBUz357/lkWHF5GQnQBAUNUgwtqF0cqvlZWjKxn9pUv8HRJK3knLTu9Vxo7F96UJqLTyoyqEEOLuyW8TG/dX7F+EHwjnZLKlUAhwDWBSm0n0qtPLJgYu/1vad1uJmzkTc3Y2Gh8fAubMwe3+ztYOSwghhB2RwsdGXUy7yPwD89n19y4A3HRujAkaw5AmQ3DU2NZ2DebcXOLfeYfUz78AwKV9ewLmzkVXzc/KkQkhhLA3UvjYmJTcFJYfWc7npz/HqBjRqDQ8ec+TvNjyRXycfKwdXonlnT9P9KQQ8s6eBZWKqi+8QNVxL6LSaKwdmhBCCDskhY+NyDPlseHkBlYeXUmGIQOAB2s8SGibUOp51bNydHcmdcsW4ma9iZKTg6ZqVQLnvo9rx47WDksIIYQdk8KnglMUhR8u/cCCQwuIzowGoLFPY8LahtGhegcrR3dnzNnZxL31NmlffQWA630dCXj/fbRVq1o5MiGEEPZOCp8KLDIhkrkH5nI00bIvlZ+zHxNaT6BPvT5o1LbZFZR75gzRIaHoz58HtRrfCeOpMnasdG0JIYQoF1L4VEBXM66y4OACfrz8IwDOWmdGNh/J8KbDcdG5WDm6O6MoCmlffknc2++g5Oai9fMjIHwuru3bWzs0IYQQlYgUPhVIuj6dD498yIZTGzCYDahQ8UTDJxjfcjy+Lr7WDu+OmTKziJs1i/RvvwXA9f77CZjzHlof2xuMLYQQwrZJ4VMBGMwGPjv9GSuOrCA1LxWAe6vfS1jbMBr5NLJucHcp99QpoieFoL90CTQafCdNpMro0ajUamuHJoQQohKSwseKFEXhl6u/EHEwgkvplwCo51mPyW0nc3/g/Ta3AOG/KYpC6ubNxM9+F0WvR+vvT+D8ebi0bm3t0IQQQlRiUvhYSdS1KML3h3Mg/gAAPk4+jGs5jv4N+6NV2/a3xZSRQezMmWRs/x4Aty5dqP7ubLTe3laOTAghRGVn279hbVBcVhzLjy3n2wuW8S6OGkeGNh3K6OajcXNws3J0dy836gTxU6diuHIFtFr8Jk/GZ8Rwm357JYQQwn5I4VNOsgxZ7MjZwVvfvUWeKQ+AR+s9ysRWE6nuVt3K0f1/e3cfFlWZ9wH8O7zMICKgDjgMASIleuF7JQulZRJo7pZb65b4WLqslpGrQiak8WKagiysWk/iXr60j7arbmWbq6uYaan4huILoKUPooDgKvKiKDMw9/NHyzwhzAgEnJkz3891cV2e+9zn5vebmwM/z9xnzs8nhID7oUMoXvQeoNfDUauFd0Y6ug0dKnVoRERERix8usDV6quYumsqbtbdBACM8ByB+Y/PxyD1IIkj6xgNVVUoe3chPL/+GgDgEjYW2qVLYe/mJnFkRERETVnNrTXPP/88fH194eTkBC8vL0ydOhWlpaVN+pw5cwajRo2Ck5MTfHx8kJqaKlG0TXn38EYf5z7obdcbaaPSsHHcRtkUPXfPnEHhiy/hztdfw2BvD3VcHB5avZpFDxERWSSrKXzGjBmDrVu34sKFC/jss89w6dIl/OY3vzHur66uRnh4OPz8/JCTk4MVK1YgKSkJa9eulTDqH9kp7JA2Kg2ze8zGMz7PyGK9ixACNzdsxOXIKdCXlMDhoYdw9c1ZcJ8SKYv8iIhInqzmra558+YZ/+3n54e4uDhMnDgRer0ejo6O2Lx5M3Q6HdavXw+lUomgoCDk5uYiPT0dM2fOlDDyH2m6a+CgsJqX26yGykqUxr+L2998AwDoMX4c1O+9h/zvvpM4MiIiIvOs8i9xRUUFNm/ejNDQUDg6OgIAsrOzMXr0aCiVSmO/iIgIpKSk4NatW+hp4lbquro61NXVGberq6sBAHq9Hnq9vsNibhyrI8eUwt3cXJTPfwf1ZWVQKJVQL3gHrpMmob6+HoD152eOXObQFLnnB8g/R+Zn/eSeY2fm19oxFUII0eHfvZMsWLAAH374IWpra/GLX/wCO3bsQO/evQEA4eHh8Pf3R2ZmprF/fn4+goKCkJ+fj4EDB7Y4ZlJSEpKTk5u1f/rpp3B2ts7nYnUKgwE9v/0W6t17oDAYoFOrcW1KJOq0WqkjIyIiQm1tLSIjI1FVVQVXV1eT/SQtfOLi4pCSkmK2T0FBAQYMGAAAuHHjBioqKlBUVITk5GS4ublhx44dUCgU7S58Wrri4+Pjgxs3bph94dpKr9cjKysLzz77rPEqlbVoqKhA+bsLUXvoEADA5bnn4JnwHuy6dzf2seb8WkvuOco9P0D+OTI/6yf3HDszv+rqaqjV6gcWPpK+1RUbG4tp06aZ7dOvXz/jv9VqNdRqNfr374+BAwfCx8cHR44cQUhICDQaDcrLy5sc27it0WhMjq9SqaBSqZq1Ozo6dsoPXWeN21lqjx9HSezbqL9+HQqVCpr3FsHtpZdMLmC2tvzaQ+45yj0/QP45Mj/rJ/ccOyO/1o4naeHj4eEBD4/2PXXcYDAAgPFqTUhICBYuXGhc7AwAWVlZCAwMNLm+h0wTDQ24uXYt/r36Q8BggDIgAN4Z6XDq31/q0IiIiNrNKm5nP3r0KD788EPk5uaiqKgI+/btw+TJkxEQEICQkBAAQGRkJJRKJaKiopCXl4ctW7Zg5cqViImJkTh661N/4wauzpiBf69cBRgMcJs4Ef7btrLoISIiq2cVd3U5Ozvj888/R2JiIu7cuQMvLy+MGzcOixYtMr5N5ebmhj179iA6OhqPPvoo1Go1EhISLOJWdmty58gRlLw9Hw03bkDRrRs0CQlw//VEqcMiIiLqEFZR+AwePBj79u17YL8hQ4bgO36WTLuIhgbc+Oi/cePjjwEhoHrkEXj/KQOqgACpQyMiIuowVlH4UOfSl19H6fz5qD12DADgPmkS+ix8F3ZOThJHRkRE1LFY+Ni42wcPofSdd9BQUQE7Z2dokpPh9qtfSh0WERFRp2DhY6NEfT3+vWo1bv7nWWaqAQPgnZEOlb+/xJERERF1HhY+NkhfVoaS2LdxNycHANAzcjI8FyyAXQufZ0RERCQnLHxsTM3+/bgWF4+GykrYubjAa8n7cB03TuqwiIiIugQLHxsh9Hpcz/gTKtavBwA4BQXBOyMdSl9fiSMjIiLqOix8bIC+pAQlMbG4e/o0AKDn1KnwnP827H7yJHsiIiJbwMJH5mq+/hql8e/CUF0NO1dXaD9Yih5hYVKHRUREJAkWPjIldDqUp6Xh1l/+BwDgNHQIvP+YDuVD3hJHRkREJB0WPjKku3oVJfNicO/cOQBAr+nT4TlvLhR8a4uIiGwcCx+Zqf7XblxbtAiG27dh7+YGr+XL0GPMGKnDIiIisggsfGTCUFeH6ykpuPXpXwEA3UaMgPcf0+Do5SVxZERERJaDhY8M6C5fRnFMDOryCwAAvWfOhMfst6BwdJQ4MiIiIsvCwsfKVe34J8oSEmCorYV9z57QpqbCZdSTUodFRERkkVj4WCnDvXsoX/oBKrdtAwA4P/44tGlpcOzjKXFkRERElouFjxWq+9//Rcnceaj7/ntAoYB61htQv/kmFA6cTiIiInP4l9LKVG7fjrLkxRB378JerYZ3agq6h4ZKHRYREZFVYOFjJQy1tSh7fwmqvvgCAOAc8gt4p6bCwcND4siIiIisBwsfK1D3ww8onjcPuouXADs7qN+Khvr116Gwt5c6NCIiIqvCwseCCSFQ9fnnKHt/CcS9e3Dw9IQ2bQW6jxwpdWhERERWiYWPhTLcuYNrScmo/uorAED3J5+ENjUFDr16SRwZERGR9WLhY4HunT+PkrnzoLt8GbC3h8ecOej9+ygo7OykDo2IiMiqsfCxIEIIVG7ZivIPPoDQ6eCg0cA7/Y9wHjFC6tCIiIhkgYWPhWi4fRtlCQmo3rkLAODy9NPwWvYBHHr2lDgyIiIi+WDhYwHu5uWhZF4M9FeuAA4O8IyJQa/p06BQKKQOjYiISFZY+EhICIFbmz/F9ZQUCL0ejlotvNP/iG7DhkkdGhERkSyx8JFIQ3U1ri1chJqsLACAS9hYaJcuhb2bm8SRERERyRcLHwncPXPmx7e2SkoAR0f0mT8fPaf+F9/aIiIi6mQsfLqSEKj8y//gxp/+BOj1cPTxgXd6OroNHiR1ZERERDaBhU8XaaiqgvaTv+BGQQEAoMe4cfB6fzHse/SQODIiIiLbwcKnC+iuXMHVV1+DS1kZFEol+sTHwf2VV/jWFhERURezuo8Crqurw7Bhw6BQKJCbm9tk35kzZzBq1Cg4OTnBx8cHqamp0gR5H0cvL9h7ekKnVuOhzZvQc/JkFj1EREQSsLrC55133oFWq23WXl1djfDwcPj5+SEnJwcrVqxAUlIS1q5dK0GUTSkcHeGVkY6iP8yGasAAqcMhIiKyWVb1VteuXbuwZ88efPbZZ9i1a1eTfZs3b4ZOp8P69euhVCoRFBSE3NxcpKenY+bMmRJF/P8cPD0hVCqpwyAiIrJpVlP4lJeXY8aMGdi+fTucnZ2b7c/Ozsbo0aOhVCqNbREREUhJScGtW7fQ08SjH+rq6lBXV2fcrq6uBgDo9Xro9foOi79xrI4c05LIPT9A/jnKPT9A/jkyP+sn9xw7M7/WjqkQQogO/+4dTAiB5557Dk888QQWLVqEy5cvw9/fH6dOncKw/3zKcXh4OPz9/ZGZmWk8Lj8/H0FBQcjPz8fAgQNbHDspKQnJycnN2j/99NMWCywiIiKyPLW1tYiMjERVVRVcXV1N9pP0ik9cXBxSUlLM9ikoKMCePXtQU1OD+Pj4Do8hPj4eMTExxu3q6mr4+PggPDzc7AvXVnq9HllZWXj22Wfh6OjYYeNaCrnnB8g/R7nnB8g/R+Zn/eSeY2fm1/iOzYNIWvjExsZi2rRpZvv069cP+/btQ3Z2NlT3rZF57LHHMGXKFHzyySfQaDQoLy9vsr9xW6PRmBxfpVI1GxcAHB0dO+WHrrPGtRRyzw+Qf45yzw+Qf47Mz/rJPcfOyK+140la+Hh4eMDDw+OB/VatWoUlS5YYt0tLSxEREYEtW7YgODgYABASEoKFCxdCr9cbk8/KykJgYKDJ9T1ERERkW6xicbOvr2+TbRcXFwBAQEAAHnroIQBAZGQkkpOTERUVhQULFuDcuXNYuXIlMjIyujxeIiIiskxWUfi0hpubG/bs2YPo6Gg8+uijUKvVSEhIsIhb2YmIiMgyWGXh07dvX7R0M9qQIUPw3XffSRARERERWQOr++RmIiIiovZi4UNEREQ2g4UPERER2QwWPkRERGQzWPgQERGRzbDKu7o6U+PdYq396OvW0uv1qK2tRXV1tSw/jVPu+QHyz1Hu+QHyz5H5WT+559iZ+TX+3X7QI0hZ+NynpqYGAODj4yNxJERERNRWNTU1cHNzM7nfKp7O3pUMBgNKS0vRo0cPKBSKDhu38eGnV69e7dCHn1oKuecHyD9HuecHyD9H5mf95J5jZ+YnhEBNTQ20Wi3s7Eyv5OEVn/vY2dkZH4PRGVxdXWX5w9xI7vkB8s9R7vkB8s+R+Vk/uefYWfmZu9LTiIubiYiIyGaw8CEiIiKbwcKni6hUKiQmJkKlUkkdSqeQe36A/HOUe36A/HNkftZP7jlaQn5c3ExEREQ2g1d8iIiIyGaw8CEiIiKbwcKHiIiIbAYLHyIiIrIZLHw6yNKlSxEaGgpnZ2e4u7u32OfKlSuYMGECnJ2d4enpifnz56O+vt7suBUVFZgyZQpcXV3h7u6OqKgo3L59uxMyaJv9+/dDoVC0+HX8+HGTxz399NPN+r/xxhtdGHnb9O3bt1m8y5cvN3vMvXv3EB0djd69e8PFxQUvvfQSysvLuyji1rt8+TKioqLg7++Pbt26ISAgAImJidDpdGaPs+Q5/Oijj9C3b184OTkhODgYx44dM9t/27ZtGDBgAJycnDB48GDs3LmziyJtu2XLluHxxx9Hjx494OnpiYkTJ+LChQtmj9m4cWOzuXJycuqiiNsmKSmpWawDBgwwe4w1zR/Q8u8ThUKB6OjoFvtb+vx9++23+NWvfgWtVguFQoHt27c32S+EQEJCAry8vNCtWzeEhYXhhx9+eOC4bT2P24qFTwfR6XSYNGkSZs2a1eL+hoYGTJgwATqdDocPH8Ynn3yCjRs3IiEhwey4U6ZMQV5eHrKysrBjxw58++23mDlzZmek0CahoaG4du1ak6/f//738Pf3x2OPPWb22BkzZjQ5LjU1tYuibp/Fixc3iXf27Nlm+8+bNw9fffUVtm3bhgMHDqC0tBQvvvhiF0XbeufPn4fBYEBmZiby8vKQkZGBNWvW4N13333gsZY4h1u2bEFMTAwSExNx8uRJDB06FBEREbh+/XqL/Q8fPozJkycjKioKp06dwsSJEzFx4kScO3euiyNvnQMHDiA6OhpHjhxBVlYW9Ho9wsPDcefOHbPHubq6NpmroqKiLoq47YKCgprEevDgQZN9rW3+AOD48eNN8svKygIATJo0yeQxljx/d+7cwdChQ/HRRx+1uD81NRWrVq3CmjVrcPToUXTv3h0RERG4d++eyTHbeh63i6AOtWHDBuHm5tasfefOncLOzk6UlZUZ2z7++GPh6uoq6urqWhwrPz9fABDHjx83tu3atUsoFApRUlLS4bH/HDqdTnh4eIjFixeb7ffUU0+JOXPmdE1QHcDPz09kZGS0un9lZaVwdHQU27ZtM7YVFBQIACI7O7sTIuxYqampwt/f32wfS53DkSNHiujoaON2Q0OD0Gq1YtmyZS32/+1vfysmTJjQpC04OFi8/vrrnRpnR7l+/boAIA4cOGCyj6nfR5YoMTFRDB06tNX9rX3+hBBizpw5IiAgQBgMhhb3W9P8ARBffPGFcdtgMAiNRiNWrFhhbKusrBQqlUr89a9/NTlOW8/j9uAVny6SnZ2NwYMHo0+fPsa2iIgIVFdXIy8vz+Qx7u7uTa6ghIWFwc7ODkePHu30mNviH//4B27evInp06c/sO/mzZuhVqsxaNAgxMfHo7a2tgsibL/ly5ejd+/eGD58OFasWGH27cmcnBzo9XqEhYUZ2wYMGABfX19kZ2d3Rbg/S1VVFXr16vXAfpY2hzqdDjk5OU1edzs7O4SFhZl83bOzs5v0B348J61hnoAf5wrAA+fr9u3b8PPzg4+PD1544QWTv28swQ8//ACtVot+/fphypQpuHLlism+1j5/Op0OmzZtwu9+9zuzD8S2pvn7qcLCQpSVlTWZIzc3NwQHB5uco/acx+3Bh5R2kbKysiZFDwDjdllZmcljPD09m7Q5ODigV69eJo+Ryrp16xAREfHAB7xGRkbCz88PWq0WZ86cwYIFC3DhwgV8/vnnXRRp2/zhD3/AiBEj0KtXLxw+fBjx8fG4du0a0tPTW+xfVlYGpVLZbJ1Xnz59LG7O7nfx4kWsXr0aaWlpZvtZ4hzeuHEDDQ0NLZ5j58+fb/EYU+ekpc8TABgMBsydOxdPPPEEBg0aZLJfYGAg1q9fjyFDhqCqqgppaWkIDQ1FXl5epz6MuT2Cg4OxceNGBAYG4tq1a0hOTsaoUaNw7tw59OjRo1l/a54/ANi+fTsqKysxbdo0k32saf7u1zgPbZmj9pzH7cHCx4y4uDikpKSY7VNQUPDABXjWpD05FxcXY/fu3di6desDx//p+qTBgwfDy8sLY8eOxaVLlxAQEND+wNugLTnGxMQY24YMGQKlUonXX38dy5Yts9iPlG/PHJaUlGDcuHGYNGkSZsyYYfZYS5hDWxcdHY1z586ZXQMDACEhIQgJCTFuh4aGYuDAgcjMzMT777/f2WG2yfjx443/HjJkCIKDg+Hn54etW7ciKipKwsg6x7p16zB+/HhotVqTfaxp/qwJCx8zYmNjzVbjANCvX79WjaXRaJqtTG+800ej0Zg85v4FXfX19aioqDB5zM/Vnpw3bNiA3r174/nnn2/z9wsODgbw49WGrvqj+XPmNTg4GPX19bh8+TICAwOb7ddoNNDpdKisrGxy1ae8vLzT5ux+bc2vtLQUY8aMQWhoKNauXdvm7yfFHN5PrVbD3t6+2d1z5l53jUbTpv6W4q233jLe6NDW//U7Ojpi+PDhuHjxYidF13Hc3d3Rv39/k7Fa6/wBQFFREfbu3dvmq6TWNH+N81BeXg4vLy9je3l5OYYNG9biMe05j9ulw1YLkRDiwYuby8vLjW2ZmZnC1dVV3Lt3r8WxGhc3nzhxwti2e/dui1rcbDAYhL+/v4iNjW3X8QcPHhQAxOnTpzs4ss6xadMmYWdnJyoqKlrc37i4+e9//7ux7fz58xa7uLm4uFg88sgj4pVXXhH19fXtGsNS5nDkyJHirbfeMm43NDQIb29vs4ubf/nLXzZpCwkJsdjFsQaDQURHRwutViu+//77do1RX18vAgMDxbx58zo4uo5XU1MjevbsKVauXNnifmubv59KTEwUGo1G6PX6Nh1nyfMHE4ub09LSjG1VVVWtWtzclvO4XbF22Eg2rqioSJw6dUokJycLFxcXcerUKXHq1ClRU1MjhPjxB3bQoEEiPDxc5Obmin/961/Cw8NDxMfHG8c4evSoCAwMFMXFxca2cePGieHDh4ujR4+KgwcPikceeURMnjy5y/MzZe/evQKAKCgoaLavuLhYBAYGiqNHjwohhLh48aJYvHixOHHihCgsLBRffvml6Nevnxg9enRXh90qhw8fFhkZGSI3N1dcunRJbNq0SXh4eIhXX33V2Of+HIUQ4o033hC+vr5i37594sSJEyIkJESEhIRIkYJZxcXF4uGHHxZjx44VxcXF4tq1a8avn/axljn829/+JlQqldi4caPIz88XM2fOFO7u7sY7KadOnSri4uKM/Q8dOiQcHBxEWlqaKCgoEImJicLR0VGcPXtWqhTMmjVrlnBzcxP79+9vMle1tbXGPvfnmJycLHbv3i0uXbokcnJyxCuvvCKcnJxEXl6eFCmYFRsbK/bv3y8KCwvFoUOHRFhYmFCr1eL69etCCOufv0YNDQ3C19dXLFiwoNk+a5u/mpoa4986ACI9PV2cOnVKFBUVCSGEWL58uXB3dxdffvmlOHPmjHjhhReEv7+/uHv3rnGMZ555Rqxevdq4/aDzuCOw8Okgr732mgDQ7Oubb74x9rl8+bIYP3686Natm1Cr1SI2NrZJxf/NN98IAKKwsNDYdvPmTTF58mTh4uIiXF1dxfTp043FlCWYPHmyCA0NbXFfYWFhk9fgypUrYvTo0aJXr15CpVKJhx9+WMyfP19UVVV1YcStl5OTI4KDg4Wbm5twcnISAwcOFB988EGTK3T35yiEEHfv3hVvvvmm6Nmzp3B2dha//vWvmxQTlmLDhg0t/sz+9EKwtc3h6tWrha+vr1AqlWLkyJHiyJEjxn1PPfWUeO2115r037p1q+jfv79QKpUiKChI/POf/+ziiFvP1Fxt2LDB2Of+HOfOnWt8Pfr06SOee+45cfLkya4PvhVefvll4eXlJZRKpfD29hYvv/yyuHjxonG/tc9fo927dwsA4sKFC832Wdv8Nf7Nuv+rMQeDwSDee+890adPH6FSqcTYsWOb5e3n5ycSExObtJk7jzuCQgghOu6NMyIiIiLLxc/xISIiIpvBwoeIiIhsBgsfIiIishksfIiIiMhmsPAhIiIim8HCh4iIiGwGCx8iIiKyGSx8iIiIyGaw8CEi2WpoaEBoaChefPHFJu1VVVXw8fHBwoULJYqMiKTCT24mIln7/vvvMWzYMPz5z3/GlClTAACvvvoqTp8+jePHj0OpVEocIRF1JRY+RCR7q1atQlJSEvLy8nDs2DFMmjQJx48fx9ChQ6UOjYi6GAsfIpI9IQSeeeYZ2Nvb4+zZs5g9ezYWLVokdVhEJAEWPkRkE86fP4+BAwdi8ODBOHnyJBwcHKQOiYgkwMXNRGQT1q9fD2dnZxQWFqK4uFjqcIhIIrziQ0Syd/jwYTz11FPYs2cPlixZAgDYu3cvFAqFxJERUVfjFR8ikrXa2lpMmzYNs2bNwpgxY7Bu3TocO3YMa9askTo0IpIAr/gQkazNmTMHO3fuxOnTp+Hs7AwAyMzMxNtvv42zZ8+ib9++0gZIRF2KhQ8RydaBAwcwduxY7N+/H08++WSTfREREaivr+dbXkQ2hoUPERER2Qyu8SEiIiKbwcKHiIiIbAYLHyIiIrIZLHyIiIjIZrDwISIiIpvBwoeIiIhsBgsfIiIishksfIiIiMhmsPAhIiIim8HCh4iIiGwGCx8iIiKyGSx8iIiIyGb8H2Qw42pZCqKUAAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "def linear_model(x , w , b):\n",
+ " return w*x + b\n",
+ "\n",
+ "weights = np.array([0 ,2 ,3 ,4])\n",
+ "biases = np.array([-1, 0.5 , -0.5 , 2])\n",
+ "\n",
+ "b = 1\n",
+ "w = 1\n",
+ "x = np.linspace(-10 , 10 , 200)\n",
+ "\n",
+ "for weight in weights:\n",
+ " y = linear_model(x , weight , b)\n",
+ " plt.plot(x , y , label = f\"y = {weight}x + {b}\")\n",
+ "\n",
+ "plt.title(\"Effets of Weight\")\n",
+ "plt.ylabel(\"Y\")\n",
+ "plt.xlabel(\"X\")\n",
+ "plt.legend()\n",
+ "plt.grid(True)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for bias in biases:\n",
+ " y = linear_model(x , w , bias)\n",
+ " plt.plot(x , y , label = f\"y = {w}x + {bias}\")\n",
+ "\n",
+ "plt.title(\"Effets of Bias\")\n",
+ "plt.ylabel(\"Y\")\n",
+ "plt.xlabel(\"X\")\n",
+ "plt.legend()\n",
+ "plt.grid(True)"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.10"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}