{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial 3: Uncovering Temporal Dynamics in Neural Data\n", "\n", "Welcome to the definitive guide on uncovering temporal relationships in your data. In neuroscience, two fundamental questions often arise:\n", "\n", "1. **What is the temporal offset?** Does a pattern in signal X predict a pattern in signal Y with a specific time delay (**`lag`**)?\n", "2. **What is the timescale of the interaction?** Over how long a period do I need to observe signal X to best predict signal Y (**`window_size`**)?\n", "\n", "This tutorial will teach you how to answer both of these questions robustly from an agnostic perspective. We'll build a narrative from the ground up, starting with familiar concepts and progressing to the powerful, nonlinear methods that this library unlocks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, let's import the necessary libraries and configure our basic parameters for the MI estimation alongside of some useful plotting functions." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import pandas as pd\n", "from tqdm.auto import tqdm\n", "import neural_mi as nmi\n", "from neural_mi.datasets.generators import generate_linear_data, generate_nonlinear_data, generate_history_data, generate_full_data\n", "from neural_mi.visualize.plot import plot_cross_correlation, analyze_mi_heatmap" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Base parameters for our MI estimator. We'll use a simple MLP.\n", "BASE_PARAMS = {\n", " 'embedding_dim': 16,\n", " 'hidden_dim': 32,\n", " 'n_layers': 2,\n", " 'learning_rate': 1e-3,\n", " 'batch_size': 128,\n", " 'n_epochs': 30,\n", " 'patience': 15,\n", "}\n", "\n", "# Plotting function for X and Y\n", "def plot_data(x, y, title=None, xlim=100):\n", " fig, ax = plt.subplots(figsize=(8, 4))\n", " ax.plot(x.T, label=r'$x(t)$')\n", " ax.plot(y.T, label=r'$y(t)$')\n", " ax.set_xlabel('Timepoints')\n", " ax.set_ylabel('Value')\n", " if title:\n", " ax.set_title(title)\n", " ax.set_xlim(0, xlim)\n", " ax.legend()\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. The Simplest Case - Finding a Linear Lag\n", "\n", "Let's start with a problem that many are familiar with: finding a simple, time-delayed linear relationship. We'll generate two signals, where `Y` is just a lagged and noisy version of `X`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "TRUE_LAG_LINEAR = 50\n", "x_linear, y_linear = generate_linear_data(true_lag=TRUE_LAG_LINEAR)\n", "plot_data(x_linear,y_linear, 'Linear Data')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.1. **Linear Sanity Check: Cross-Correlation**\n", "\n", "The classic tool for this is cross-correlation. It slides one time series past the other and calculates the linear correlation at each step. As expected, it works perfectly, showing a clear peak at the true lag." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cross_correlation(x_linear, y_linear, TRUE_LAG_LINEAR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.2. **MI Application**\n", "\n", "Now, let's apply our MI library. Since there's no history component, `window_size` is just 1. The MI analysis also correctly identifies the lag." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2025-10-19 23:55:34 - neural_mi - WARNING - `processor_type` is deprecated. Use `processor_type_x` and `processor_type_y` instead.\n", "2025-10-19 23:55:34 - neural_mi - WARNING - `processor_params` is deprecated. Use `processor_params_x` and `processor_params_y` instead.\n", "2025-10-19 23:55:34 - neural_mi - INFO - Detected sweep over processor or lag parameters. Deferring data processing to workers.\n", "2025-10-19 23:55:34 - neural_mi - INFO - Preparing 21 tasks for lag analysis.\n", "2025-10-19 23:55:34 - neural_mi - INFO - Starting parameter sweep with 4 workers...\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "cd755d965d2d4e2a9ecbf522fadf9d07", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Parameter Sweep Progress: 0%| | 0/21 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_linear_lag = nmi.run(\n", " x_data=x_linear,\n", " y_data=y_linear,\n", " mode='lag',\n", " processor_type='continuous',\n", " processor_params={'window_size': 1},\n", " base_params=BASE_PARAMS,\n", " lag_range=range(0, 101, 5),\n", " n_workers=4,\n", ")\n", "\n", "ax = results_linear_lag.plot(show=False)\n", "ax.axvline(TRUE_LAG_LINEAR, color='r', linestyle='--', label=f'True Lag ({TRUE_LAG_LINEAR})')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Lesson**: For simple linear, time-delayed relationships, both methods work. MI is a valid, more general tool." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Adding Complexity - Finding a Nonlinear Lag\n", "\n", "Now, let's create a dataset where the relationship is **nonlinear**. For instance, `Y(t)` could be a function of `X(t - lag)^2`. This will demonstrate the limits of linear methods." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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nv8OHD3fPgAmCIAiCIE5B8vPzcc455+CRRx7Btddei2eeeQbLli3Dzp07jfvMnj0bBw4cMMkyGwwG7N27F6Wlpaivrzd5zPXr12PWrFnd9hqcoUcFzM3NzcjOzsbbb7/t1P2OHDmCsrIy41/fvn09NEKCIAiCIIhTm5qaGsyZMwfnnXceHnvsMQDAqFGjMG/ePDz++OPG/YYOHYrRo0fj22+/NW577rnnsHTpUiQnJ+OZZ54xbm9ra8OPP/6IW2+9tfteiBP0HJEMgDlz5mDOnDlO3y8uLg6RkZHuHxBBEARBEMRpRlRUFA4dOtRp+88//9xp2xNPPIEFCxbg1ltvhUqlwjXXXINrrrmm036LFy/GuHHjMH78eI+Muav0qAyzq4wYMQKJiYmYPn06Vq9ebXPf9vZ2NDQ0mPwRBEEQBEEQzjN37lzcdtttJs1NLOHn54e33nqrm0blPD0qw+wsiYmJ+OCDDzBq1Ci0t7fj888/x/Tp07FmzRpMnjzZ4n1eeOEFPP300908UoIgCIIgiFOTe++91+4+//rXv7phJK5zSgfM/fv3R//+/Y3/T5gwAUVFRXj11VetBsyPPvoo5s+fb/y/oaEBqampHh8rQRAEQRAE4ZucFpIMJePHj0dubq7V2wMCAhAeHm7yRxAEQRAEQZy+nHYB8+7du5GYmOjtYRAEQRAEQRA9hB4lyWhqasKxY8eM/+fl5SEnJwdRUVFIS0vDo48+ipKSEnz22WcAgNdffx0ZGRkYPHgwtFotvvjiCyxbtgzLli3z1ksgCIIgCIIgehg9KmDesWMHpk2bZvyfa42vv/56fPLJJygrK0NhYaHxdq1WiwULFqCkpARBQUEYPHgwfv/9d8ydO7fbx04QBEEQBEH0TARRFEVvD8KXaWhoQEREBOrr60nPTBAEQRCE22hra0NeXh4yMzMRGBjo7eH4PLbeL0/Ha6edhpkgCIIgCIIgnIECZoIgCIIgCIKwAQXMBEEQBEEQBGEDCpgJgiAIgiAIj1BdXY24uDjk5+fb3O+SSy7BwoULu2dQLkABM0EQBEEQBOERXnjhBcybNw8ZGRnGbffddx8uuOACk/2efPJJ/Pe//0VDQ0P3DtBBKGAmCIIgCIIg3E5raysWL16MW265xWT79u3bMXbsWJNtw4YNQ0ZGBr788svuHKLDUMBMEARBEAThK4gioG32zp+TTsMpKSl49913TbZt2rQJwcHBKCgowJ9//gmNRoMJEyYAADo6OuDv749Nmzbh8ccfhyAIGDdunPG+5513Hr7++uuuv4ceoEc1LiEIgiAIgjil6WgBnk/yznM/Vgr4hzi8+/jx47F9+3bj/6Io4r777sN9992H9PR0vPbaaxg9erTxdrVajQ0bNmDcuHHIyclBfHy8iZ/y2LFj8cILL6C9vR0BAQHueU1ugjLMBEEQBEEQhNOYB8yff/45CgsL8eijjwIA8vPzkZQkB/8qlQqlpaWIjo5GdnY2EhISEBkZabw9OTkZ7e3tKC8v77bX4CiUYSYIgiAIgvAV/IJZptdbz+0E48ePx8MPP4ympiaoVCo89thjeO655xAWFgaAaZjNO/Lt3r0b2dnZFh8vKCgIANDS0uLC4D0LBcwEQRAEQRC+giA4JYvwJqNHj4ZarcauXbvwzz//IDo6GjfddJPx9piYGNTW1prcJycnx2rAXFNTAwCIjY313KBdhCQZBEEQBEEQhNMEBgYiOzsbP/zwA1599VUsXLgQKpUcWo4YMQIHDx40uc++ffswbNgwi4+3f/9+pKSkICYmxqPjdgUKmAmCIAiCIAiXGD9+PN58803MmDED06dPN7lt9uzZOHDggEmW2WAwYO/evSgtLUV9fb3J/uvXr8esWbO6ZdzOQgEzQRAEQRAE4RLDhw+HRqPBK6+80um2oUOHYvTo0fj222+N25577jksXboUycnJeOaZZ4zb29ra8OOPP+LWW2/tlnE7CwXMBEEQBEEQhEt8+eWXuPPOO9G/f3+Ltz/xxBN44403YDAYAADXXHMNSkpKIIoi/ve//xn3W7x4McaNG4fx48d3y7idhYr+CIIgCIIgCIcxGAyorKzE4sWLceTIEfz4449W9507dy5yc3NRUlKC1NRUq/v5+fnhrbfe8sRw3QIFzARBEARBEITDrFu3DmeddRYGDBiAH374ARERETb3v/fee+0+5r/+9S93Dc8jUMBMEARBEARBOMzUqVONEovTBdIwEwRBEARBEIQNKGAmCIIgCIIgCBtQwEwQBEEQBEEQNqCAmSAIgiAIwouIoujtIfQIvPk+UcBMEARBEAThBfz8/AAALS0tXh5Jz4C/T/x9607IJYMgCIIgCMILqNVqREZGoqKiAgAQHBwMQRC8PCrfQxRFtLS0oKKiApGRkVCr1d0+BgqYCYIgCIIgvERCQgIAGINmwjqRkZHG96u7oYCZIAiCIAjCSwiCgMTERMTFxaGjo8Pbw/FZ/Pz8vJJZ5lDATBAEQRAE4WXUarVXA0LCNlT0RxAEQRAEQRA2oICZIAiCIAiCIGxAATNBEARBEARB2IACZoIgCIIgCIKwAQXMBEEQBEEQBGEDCpgJgiAIgiAIwgYUMBMEQRAEQRDdj74DKN8PiKK3R2IXCpgJgiAIgiCI7mfdK8CiicDeb709ErtQwEwQBEEQBEF0P+X72GV1rnfH4QAUMBMEQRAEQRDdT9NJdtne6N1xOAAFzARBEARBEET301TBLtsavDsOB6CAmSAIgiAIguheRFGRYaaAmSAIgiAIgiBMaa0F9Fp2nQJmgiAIgiAIgjCDyzEA0jC7m3Xr1mHevHlISkqCIAj46aef7N5n7dq1GDVqFAIDA5GVlYVFixZ5fqAEQRAEQRCEdbgcA6CA2d00NzcjOzsbb7/9tkP75+XlYe7cuZg0aRJ2796Nxx57DPfccw+WLVvm4ZESBEEQBEEQVlEGzD2g6E/j7QE4w5w5czBnzhyH91+0aBHS0tLw+uuvAwAGDhyIHTt24NVXX8XFF1/soVESBEEQBEEQNqEMs++wefNmzJo1y2Tb7NmzsWPHDnR0dFi8T3t7OxoaGkz+CIIgCIIgCDeiDJh1raxNtg9zSgfM5eXliI+PN9kWHx8PnU6Hqqoqi/d54YUXEBERYfxLTU3tjqESBEEQBEGcPiiL/gCfzzKf0gEzAAiCYPK/KIoWt3MeffRR1NfXG/+Kioo8PkaCIAiCIIjTisZy0/993FquR2mYnSUhIQHl5aYfSEVFBTQaDaKjoy3eJyAgAAEBAd0xPIIgCIIgiNMT8wyzjxf+ndIZ5gkTJmDFihUm2/7++2+MHj0afn5+XhoVQRAEQRDEaY5Rwyyt+JMkw300NTUhJycHOTk5AJhtXE5ODgoLCwEwOcV1111n3P/2229HQUEB5s+fj0OHDuHjjz/G4sWLsWDBAm8MnyAIgiAIgtBpgdYadj0yjV36uCSjRwXMO3bswIgRIzBixAgAwPz58zFixAg8+eSTAICysjJj8AwAmZmZ+OOPP7BmzRoMHz4czz77LN58802ylCMIgiAIgvAWzZXsUqUBeqWz6z6eYe5RGuapU6cai/Ys8cknn3TaNmXKFOzatcuDoyIIgiAIgiAcpkmqLwuJAwIj2HXKMBMEQRAEQRCEBC/4C4sHAsLZdSr6IwiCIAiCIAgJXvAXqgiYfVySQQEzQRAEQRAE0X3wDHNoHBAQxq5TwEwQBEEQBEEQErxpSWi8ImD2bUlGjyr6IwiCIAiCIHo4SkmGWuqL4eMZZgqYCYIgCIIgiO7DKMmIBwwd7LqPF/1RwEwQBEEQBEF0H8oMM88skySDIAiCIAiCIACIoiJgjpO3kySDIAiCIAiCIMAyybo2dj00Huholbf7MOSSQRAE0QOoamrHxxvy0KrVe3soBEEQrsP1ywHhgH8wENgzfJgpw0wQBNEDuH9pDtbnVqFdZ8AdU3t7ezgEQRCuYS7H4LZyei3Q0Qb4BXpnXHagDDNBEISPs7e4DutzqwAAOwtqvDwagiCILqD0YAYA/1D5Nh/OMlPATBAE4eO8u/q48XpOUT1EUfTiaAiCILqA0lIOAFRqwN/3m5dQwEwQBOHD5J5sxF8HWEZGrRJQ1dSO0vo2L4+KIAjCRZSWcpwe0O2PAmaCIAgf5r21LLs8e3A8Biayk8qeojovjoggCKILGDPMCku5HlD4RwEzQRCEj1JU04Kfc0oBAHdO7YPslEgAFDATBNGDaTLTMANyhtmHu/1RwEwQBOGjfLDuBPQGEZP6xiA7NRLZqZEAgBwKmAmC6KnwDHOYJUkGZZgJgiAIJ6hobMPSHUUAWHYZAIZLAfO+knroDVT4RxBED8SihpkkGQRBEIQLLN6QB63OgJFpkRifFQUA6B0bihB/NVq0ehyvbPLyCAmCIJxErwOamUWm5aK/+u4fk4NQwEwQBOFj1Ld04IvNBQCAu6b1gSAIAJhLxtCUCAAkyyAIogfSXAlABAQVEBwtb6cMM0EQBOEsn27OR7NWjwEJYThrQJzJbVT4RxBEj4XLMULimP8yh1wyCIIgCGdobtfh4415AIA7FdllDi/821Nc180jIwiC6CKWLOUAcskgCIIgnOPrbYWoa+lARnQwzhma2Ol2HjAfLmtEW4e+m0dHEATRBSwV/AEkySAIgiAcp761A++tYY1Kbp/SG2qV0GmfpIhAxIQGQGcQcaDUd7MxBEEQnbDkwQxQpz+CIAjCcd5cmYvqZi2yYkNw0cgUi/sIgoDhqazwj3TMBEH0KCx5MAPkw0wQBEE4xrGKRny6KR8A8NS8wfDXWD8888K/vaRjJgiiJ2FNkhHIkgCUYSYIgiCsIooinv71IHQGETMGxmNKv1ib+8uFf77rWUoQBNEJKvojCIIgXGXFwZNYn1sFf7UKT5w70O7+wyQv5ryqZtS1aD09PIIgCPfQaE/D3AiIvtnFlAJmgiAIL9LWocezvx8EANw6ORPp0SF27xMZ7I+M6GAAwF7KMhME0VMwZpituGSIeqCjpXvH5CAUMBMEQXiRj9afQFFNKxLCA3Hn1D4O388oy6DCP4IgegLtTUBHM7tuHjD7h7Duf4DPFv5RwEwQBOElyupb8c5qZiP36NwBCAnQOHxfY8c/KvwjCKInwAv+/EKAgFDT2wTB550yKGAmCILwEi/8cRitHXqMTu+F87KTnLovzzDnFNVD9FHNH0EQhBGjQ0ac5du5LMNHC/8oYCYIgvAC2/Jq8MueUggC8H/nDe7UAtseg5PCoVEJqGpqR2l9m4dGSRAE4SZ4wByWYPl2H29eQgEzQRBENyKKItbnVuKh7/cAAK4cm4YhyRFOP06gnxoDEtkJZi/pmAmC8HWsWcpxjO2xKWAmCII4rdl6ohqXv78F1y7ehvzqFsSGBWDBrP4uPx7XMeeQjpkgCF/HWtMSjo9rmB2vMCEIgiBcYldhLRb+fRQbjlUBAPw1KlwzLh13TO2NqBB/lx83OzUSX24tJKcMgiB8n0Z7GmYKmAmCIE5LSuta8eTPB/DPIXai8FMLuHxMKu6e1hcJEYFdfnyeYd5XXA+9QYRa5ZwOmiAIotswZpitaJgDfbvojwJmgiAINyOKIn7cXYKnfjmAxjYdVAJw8cgU3DO9L1Kjgt32PH3iQhHsr0azVo/jlU3oFx/mtscmCIJwKw5LMihgJnoIze06LD9Qjl7B/pg2wMrSCUEQFqluasfjP+7HXwdYC9jhqZF49dJh6BPn/mBWrRIwNDkCW/NqkFNURwEzQRC+i92iP6n4mSQZhC8jiiJyiuqwdHsRft1TimatHgCw/L7J6J9AJ2GCAIDt+TV4c2Uu0qODkZ0SieGpkegdGwqVJIVYcfAkHv1hL6qatNCoBNw3oy9un9IbGrXn6quHp0Zia14NVh2qwKWjUpy2pyMIgvA4Bj3QbKUtNocyzIQvU9eixY+7S/DNtiIcOSnP6vw1Kmh1Bry/7jgWXjbcewMkCB/i5b8OY3t+LdbnAl+gEAAQGqDB0OQIhAZqsOIgW3LsFx+KhZcNd8kuzllmDY7HB+tP4K8D5Xh3zXHcNc3x9toEQRDdQks1IBoACEBIrOV9fLzor8fZyr377rvIzMxEYGAgRo0ahfXr11vdd82aNRAEodPf4cOHu3HEvktlYztmvbYOT/96EEdONiJAo8JFI5Px7W0T8O1tEwAAv+SUoqSu1csjJQjvU1LXiu35tRAE4MaJGRibGYUgPzWa2nXYfKIaKw6ehCAAt03Owi93n9ktwTIAjEqPwv/NGwwAeGX5ESzbWdwtz0sQxClCWwNw5E9Ap/Xcc3D9ckgMoLaSq6WiP/exdOlS3HfffXj33XcxceJEvP/++5gzZw4OHjyItLQ0q/c7cuQIwsPDjf/HxlqZ3Zxm/H2wHBWN7UgID8Rd03rjvOHJiAjyM94+ISsam09UY/H6PDw5b5AXR0oQ3ue3PaUAgLEZUXhKClB1egOOVTZhT1Ed8qpaMHNQHEalR3X72K4/IwOl9a14f+0JPLxsL2LDAjC5Hx3nCIJwgLUvAZvfBs5ZCIy52TPPYa/gD6AMsztZuHAhbr75Ztxyyy0YOHAgXn/9daSmpuK9996zeb+4uDgkJCQY/9RqdTeN2LdZf5R5wl41Lg3XTsgwCZYB4PapvQEA32wvRF2LB2eeBNED+EUKmM8bnmTcplGrMCAhHJePScMjcwZ4JVjmPDx7AM7LToLOIOKOL3Zif0m918ZCEKcUoggUbAbam7w9Es9QdZRdVh7x3HPY82AGKGB2F1qtFjt37sSsWbNMts+aNQubNm2yed8RI0YgMTER06dPx+rVq23u297ejoaGBpO/UxG9QcSm4yxgntQ3xuI+k/vGYFBiOFq0eny2uaA7h0cQPsXxyiYcKG2ARiVg7pBEbw/HIiqVgFcuHYYJWdFo1upx4yfbUVTT4u1hEUTP58CPwJKzgRVPensknqGxXLos7fpjVRwG8jcCBoPpdnsezIDCJcM3464eEzBXVVVBr9cjPt40nR8fH4/y8nKL90lMTMQHH3yAZcuW4YcffkD//v0xffp0rFu3zurzvPDCC4iIiDD+paamuvV1+Ap7i+vQ0KZDeKAGw6TmB+YIgoDbpmQBAD7ZlI9WyTmDIE43fslhJ5JJfWPQqwud+TxNgEaN968bhQEJYahsbMcNS7bR6hBBdJW8tdKl9dihR8MD5oYuBsyNJ4EPzwI+mQu8NRLY9BbQUsNus2cpB5hmmM0Dbh+gxwTMHHPLJFEUrdoo9e/fH7feeitGjhyJCRMm4N1338U555yDV1991erjP/roo6ivrzf+FRUVuXX8vsKGXJZdPqN3jM3uYOcMTURqVBBqmrX4buep+V4QRCe0LUAtW1URRRG/WpBj+CrhgX5YcuMYJEYE4nhlM27+dAdatDpvD4sgei6lOeyy+pjPygVcRq8DmivZ9a4GzJveBDqa2fXaPODv/wALBwI/3gGU7mbbbWmYedEfREDre/KXHhMwx8TEQK1Wd8omV1RUdMo622L8+PHIzc21entAQADCw8NN/k5F1h9jAfOZVuQYHI1ahVsnsSzzB+tOQKf3vVkfQbid724A3sgGKo/gQGkDTlQ1I0CjwsxBNpYTfYjEiCB8cuNYhAdqsLOgFrd9vhPtOlohIgin0WmBioPSPyJQvt+rw3E7zZUARHa9sRzQd7j4OFXAjo/Z9Us/Bea9CSQMBXRtwJ6vgKIt7DZbGWZNIKCSvCh8cGLSYwJmf39/jBo1CitWrDDZvmLFCpxxxhkOP87u3buRmOibGsTuoqldh10FtQCs65eVXDoqFVEh/iiubcXv+8o8PTyC8C56nbQEKwJle43FfjMGxiM0oOcYC/VPCMOSG8ci2F+N9blVuOfr3TThJQhnqTwM6BWyprI93huLJ2hSJiFFWWvsLJvfATpagKQRwKDzgVHXA7etB27+Bxh2BaD2Z8Fw4nDrjyEIPl3412MCZgCYP38+PvroI3z88cc4dOgQ7r//fhQWFuL2228HwOQU1113nXH/119/HT/99BNyc3Nx4MABPProo1i2bBnuvvtub70En2DriWroDCLSooKRHh1id/8gfzVuOCMDALBo7QmIoujhERKEF6k8zLIiAAz1xUY5xrxs35djmDMqvRc+uHY0/NUqLD9wEg8t2wuDgX6/BOEwZTlm/59iAXOjWQ2YK7KMlhpg2wfs+uQHWeALsMvUMcBF7wMPHAHu3QPE2GmsFCCt6vtg4Z9L6RKdToc1a9bg+PHjuOqqqxAWFobS0lKEh4cjNDTU3WM0cvnll6O6uhrPPPMMysrKMGTIEPzxxx9IT08HAJSVlaGwsNC4v1arxYIFC1BSUoKgoCAMHjwYv//+O+bOneuxMfYE1uc6JsdQct2EdCxaexyHyhqwLrcKU8jjlThV4Vo7AJUlJ1BW3w9hARpM7d8zv/Nn9o3B21eNwB1f7sIPu0oQGqDB0+cNNqn9aOvQ46/95fh6WyGatTp8cfM4RAb7bnEjQXQbPECO6cfs1yhg7szWRUxzHD8E6G8lvgqOAuCA7eapFDAXFBTg7LPPRmFhIdrb2zFz5kyEhYXh5ZdfRltbGxYtWuSJcRq58847ceedd1q87ZNPPjH5/6GHHsJDDz3k0fH0RDZI+uVJfRwPmCOD/XHFmDR8vDEPi9Ycp4CZOHVRBMzVpXkAgNlDEhDo13P922cNTsD/Ls3G/d/m4LPNBQgL1ODB2QNwrKIRX20twg+7i1HXImsX1+VW4bwemFEnCLfDC/5GXAuseIKtQHW0An5BXh2W2zCXYDgbMLfVA1ukuG/yAjm77Co+3O3PaUnGvffei9GjR6O2thZBQfIX5sILL8TKlSvdOjjC/ZTVt+JYRRNUAnPIcIZbJmVCoxKw+UQ1DpX53peZINyCImBGQwkAnBLB4wUjkvHs+UMAAO+sPo6zX1+HGQvX4eONeahr6UByZBD6xrEVwhOVZhXqpbuBZbcAdYXmD0sQpy56HXBSKvLrPxcIjgFEPXDyoO379SQ6ZZhLnLv/tg+A9nogpj8w8Pyuj+dU0jBv2LAB//nPf+Dvb7pcl56ejpISJ99ootvhcoyhKZGICPazs7cpSZFBRhnHtrwat4+NILyOTgucPGD8N1asQnSIP87oHe3FQbmPa8an45E5AwAAh8sboVYJmDkoHktuGIN1D03DxaNSAAAnKptN77hlEbDvO2D3l909ZOJ049BvwDvjTCeu3qLqKKtn8A8DorKAxGy23VzX3JPhAXN0X3bpTIa5vZEV+wFMu6xyQ1mcDwfMTksyDAYD9PrO9kTFxcUICwtzy6AIz8H9l52RYygZnhqJNUcqsaeozo2jIggfofIQoG8H1AGAvh2xQgPmDY6GRt2j6qNtcvuU3ogO8UdVkxYXjkhGQkSg8bbMGFYEnFdlFjDzDmC1+d00SuK0ZfuHTPZw6DfmuOBNeGCcOIwFg4nZwPGVp5aOmbtkJI8EqnOdC5i3LwZaa4Go3sCQi9wzHh/WMDt9Fpg5cyZef/114/+CIKCpqQlPPfXUaV9M5+sYDCI2HrPdDtse2VJXwD3FdW4aFUH4EFJWS586Hm0iW4G5qO+pEyxzLh2dijum9jYJlgGgdywLmE9UNpm64fAuXXUF3TVEz5D7D3D4D2+PgrCGQQ8U72DXnZUGeAIeGHMrNGOG+RQKmBslDXPSSHbpaMCsbQE2v82uT3oAULmpxsOHM8xOnwlee+01rF27FoMGDUJbWxuuuuoqZGRkoKSkBC+99JInxkiYs+o5tmTV4pws4lB5A6qbtQj2V2NEWi+XnnpYCuv1fqKqGQ1tLhqcE4SvIgXMBQH9UCayiu4hob7XccpTpEWFQCUAzVo9Khvb5Rv4sm1tDw6Y60uAry4DvrkSqDzi7dEQljh5QO7wVl/s3bEAcsEfD5T5ZcVBJt/q6RgMctFfshQwN5Y61pZ65yes6UlkGjDsMveNyRgwnwIZ5qSkJOTk5GDBggW47bbbMGLECLz44ovYvXs34uJsdHAh3IO+A9j8LluycrKvPZdjjM+Khr/GtaxZdGgAUnoFQRSB/cX1Lj0GQfgs0glyVX0yykSmW1Y1drFdbA/CX6NCalQwAOA41zHr2oG2Ona9sYz93xPJ+YoVbAFsKZnwPYq2yte9nWE26IHyfew6D5R7ZQABEayRSeVhrw3NbbRUSb8JgXXlgwAYdGy7LTragI1vsOtnzgfUztVD2SSQJeVOCZcMAAgKCsJNN92Et99+G++++y5uueUWE8cMwoOU7JJ7tTt5QDH6L7uoX+Zkp0YCAPZQwEycSujajQV/35XHoIx7hnr7xN3NZEk65hNVUqbPxHZK9I3Mn7MYDMDuz+T/93wNtJ8+KwfdgrbFscykLUwC5lLAm02yqo+xc61fMBAjFcQJAtMzA0D5Xu+NzV3wlaOQGGaTFxrP/rd3zCvezrTPIXHA8KvcOyYflmQ4XfT32Wef2bxd2WmP8ADKrHK94yfytg49tuUzCYdD+uWmSjbTDO/cRjw7JQK/7y2jwj/i1OLkAcDQAV1AJI7U90J1gOQ17sTv7FQgKzYUq49UIo9nmLl+mVObD0T37vZxdYm8tcwSLyACCIkGak4A+74FRt/k7ZGdGjRVAG+NAjInA1d0wUlFGTDr2oCWahbMeQOuU04YaqrPTcwG8tez20dc452xuQs+GQ5LYJfhSSwQbii1XXBZncsuk4YDmgD3jsmHi/6cDpjvvfdek/87OjrQ0tICf39/BAcHU8Bsg9pmLQQBCA/0g0rV2dzbYBCRX92MQ2WNOFTWgMPlDegdF4pHzh4gd+XKWyvfob7I4efenl8Drc6AhPBA9Imz043RoAfen8QOWPcfBPyDTW4eJhX+7aXCP+JUQqqILw8ZCNQLCIpOBWrgWuerHkymMcMsBczmPq09sfBvl5ToGXYZswdb/iiw7SNg1I1db7RAsEK99gbg+GqWFXblPW0oY5MaQcVs3Nrr2WqGtwNmXvDH4f+fCoV//LcdqgiYS3fZP+ZVHWOX0XbaXLuCvQyzKAKb3gJUGiD7CqmDYPfgdMBcW1vbaVtubi7uuOMOPPjgg24Z1KnIykMncfOnrPpXrRLQK9gPUSH+iArxR69gf5Q3tOFIeSNatKaWff8cqsAFw5MxMDGcdRdyUeO1QdEOW7B3MGssY38AK25IGW1y89DkCKgEoLS+DRWNbYgLC7TwIATRw5AK/nL0mQCAuNTeUsDcAyUIXSBL4ZQBoHMnsJ5W+NdcDRz+jV0feR0rUlr5DFBxACjcAqRP8O74TgVqTrDLjmaguQoIdaETLD+3xQ9hGd3S3ewclzTcbcN0CvOCPw7/v3wfSy65yx3CG/CAOUySYoQns0t7sUW1FwPmgo2s4yIArHwaGHIxMOZmIHmU+8dihlv8kvr27YsXX3yxU/aZYIiiiIUrjhr/1xtEVDVpcfRkE7acqMGf+8uxu7AOLVo9AjQqZKdE4IoxqRiUyJYmVh2WlkSLtrJiA0H62JzQEnL9skNyDOUJkXc5UhASoDFmqfcWkY6ZOEWQAuYVdayrX+/e/dj20yzD3DuW/baLaluh1Smq6Plxp6dlmPd+w46bicOZ/jQoEhh2Kbtt+4feHNmpQ22e5evOwAPm1HFy4OYtOZTBIGuUzQP26N6AXwjQ0SIHjj2VJvMMsyTBtHfM45IMTwTM9lpj84Y2an+2Cp7zJfDhWcD7U4Ccb9w/HgVOZ5itoVarUVp6ep1YHGV9bhUOlDYgyE+NtQ9OhQigplmLmmYtqpu1qG3WoleIPwYlhiEjOsTYJOGLLQX4z0/7sfpwBe6a1kfWL/c+Czj2D9ON6bSAxt/6kwOobGiDUL4HAUjGREcK/pTtb620AM1OicTRk03YU1yHGYPiHXkbTk2O/AX88xRw4fvey4QQXaejDag4BADY3p6G8EANMrP6s9uaK1lBoLu1ej5KXFgAQvzVaNbqUVjTgj48YI4fzLJqPSnDLIqyHGOkQi445la2/eAvzIc27DQ+hrmDGmXAnA+kjnX+MQq3sMu08ayoDPDe6k5tHpOYaAJZy2clKjXTNRdtYbKM2P6WH6MnYMww84CZZ5htxHI6rXwM4MWQ7oRrmDuaLWfweeZ/ykNA5lRg+0fAgR+YpC7fs90hnQ6Yf/nlF5P/RVFEWVkZ3n77bUycONFtAzuVWLT2OADgirGpiAtn8oX4cPsyhmkDmE3frsJaFlTzgHnwhUD+Bja7aixlVjc22P7Xp/g94HH8EnAuYkIvtD9gZQZJ0SZYybDUSHy3s9j3nTIay4HgGEDttrmhKbs/Z/ZCWxcBFy7yzHMQnufkAcCgQ6tfL5S2RWNGZjTUIVHshKlrYyeQqEzr96/KBb6+Epi8gOnqejCCICAzNgT7SxpworIJfXhjg5SxLGDuSRnm4u3s9+kXDAy9VN6eOIy9nuJtLHCeQnLCLlFrFjA7i7ZFzuimjpUDNm9lmHmHv/jBls8didlywOxOD+LuxlLRH2A7YK7NZ1Z0fiFAWGdTgC4ToOgY3d4ABJn1jDBqy0cAqWPY3+zngZwvgD+fA+A5dw2nJRkXXHCByd9FF12E//u//8OwYcPw8ccfe2KMPZqcojpsOl4NjUrALZOynLpvcmQQ+seHwSACmw7mMUs5AMicIn+x7cgylu0sRv7eDQCACYEOnuhMMsz7LVr7DFcU/onetP6xRd464H/9gTXPe+45qtlkCLkrum6pRHiPUvbbylX3ASBgfFYUK1xyVNO373u2TPn3f3quT7GCrBgmy8irapaXbXnWsKW651iy7fyUXQ6+UF7q5Yy9VdpnCaDXde+4TiX0OtNzhisBc+ku5soUlgREpAIRDv7uPIVRvzzc8u3cWq6nF/5ZKvoDbFv6GfXLvT1TMKsJANTSap65jrm9UX5+/hkAzPlm4r1A3ED3j0eB0wGzwWAw+dPr9SgvL8dXX32FxEQPzDZ6OIvWsIDqvOFJSI503quaZ5mL96xks7qoLCAyFYhIYTvYmIH/faAcDy3bizSBaaBjtA4efJQHv7Y6i7PN/glh8FerUNfSgcKaFscet7vJZxMF7F/mmcc3GOTMSksVUObZ5SDCg0gnyI2taQBYcx8AjmVcAKBK6hzXXAkc/NkDA+xejE4Zlc2yrVxMXyAwkl3vCVnmtga2VAuYyjE4g85nq08NJcDRP7t3bKcS9UUs2OW4EjAb9ctjpYmq/fObRzFmMbMt365skd1TEyWiqMgwS5KkMOl4p2sFWjsbPADwbMEfx1rhX/l+ACIbZ6iFRnnRHpCIKHBL0R9hmeOVTVh+kM3gbp/imm/pWVLAHFwsBX+Zk9klP6BY0XhtPl6Nu7/eDb1BRHYI++ILrTVAmwMSCq5PEiTtkAVZhr9GhYFJLGPjs7KMOsl2rzbfMwfexlK2XM/JXeH+5yC6B6mQZFdHOsIDNcyVBlBMTO1oKSvlol5sfd8DA+xeuFNGXmWDfFINjQd6pbPrykm1r7J/GSvMiunHCsnM0QTIgfQ2Kv5zGZ404EWhNS4U/RUqCv4AOcPcWMp0rO5m7cvAO+OZlMocUZQDZmt1KbEDWNFZewNQl+/+8XUHrbWsGBaQG5b4BQLBUrLAWpKAF/x5Qr/MsVb4Z28iE+PBIB4Oapjnz5/v8AMuXLjQ5cGcanyw9gREEZgxMB794sPs38ECI9MiERHkh1H6/Wx6wwNmGyfyvcV1uPWzHdDqDJg1KB4ppQpbqJo828Vpep28DJY2ASjYwOyX+s3qtOvwlAjsKarDnqI6nJed5NLr8yhKn+rCzcDQS9z7+NxKiZP7NzD1Efc+B+F5tC3GNrd7DVkYlxUNNfdJdyTDrNfJJxEIQMkOoGRnt9gceQrulFFddVLOHobEAZHp7KTVEwr/lMV+1paOR98IbHyd+dtXHgVi+3Xb8E4ZeICcPIppxhtLWRGtn4N2owYD05IDQJoUMIcmsADcoGMrHBYaaHWJnC9ZImXptcCtKwH/EPm2ugK2sqryA2KtLPGr/Zi+uXQ3+z1EOSG33LIIOPIHcPkXnWVC3QmXYwRFmRY0hycx2VVDKZAwpPP9uAzRGxlmewGzL2SYd+/e7dBfTk6ORwfbkyivb8MPu1kwe8dU57TLSjRqFeZk+WGQSjpBZUxilxGWbXeOVTThhiXb0dSuwxm9o/HmBZkQ2urkHcyDPHMaipn0Qx0A9J7Ktlkr/PP1BibKgLlgo/sfnx84EiQtVcku1iGR6Fmc3A+IetSpo3ASvWQ5BuCYhrmugGVqNIHypKyHZywzJEmGpkWSYwRFMTceY4bZxwPm8n1MF6vyA7KvtL5fZBrQ72x2fcfi7hnbqQbPMCePZg1HAOdWIKpzWbZTEyQfS9UauaDM3baOosiapABA5SHgt/tN9bo8KIsfZNuBSinLcBSDHlj9PJugHV3u3LjdDe+1wAv+OPaOeTwr79GA2Uq3P3uZf1/IMK9evdqjgzgVWbzhBDr0IsZmRGFUetc60VwYdQI4DuSp0pHJdTvhnTPMJXWtuHbxVtQ0a5GdEoEPrhuNwGozH2V7Hpn8QBeZJh+8rATM2amRAIB9JfXQ6Q1GOzyfwGAwnUwUbHL/c/DJR7rkDlO+Fzi+sse7JJx28IYlugwYC/44jgTMlZJ+OaYvMO4OYN93TA4w81nXGjj4AKEBGsSHByC2SZJb8ZNqpBQw+3qGmWeXB5xjv1PcmFtYxi/nK+CsJ4AAO51Qu4u6QmD3l8AZd5s6B/gaPMMclcUcm07uY9lbR7P1XL+cPIplbjnhyex311AMwI2rNa21gF4qzBXUwN6lbDV19I1sm72CP44rAXNpDutgCLD3CZfa2tuzKKVWSvhEhQfUStrqgWZpEt3dAXNHq3El0GqGmR+fPIQPRTinDvUtHfhqKws875jqmnZZSbaW2e2s0Q5AWX0r2xhhqmEWRREPfb8HZfVt6BMXiiU3jkVogKZzgGxPX8ZPhJFpQNwgdr3qKPNeNCMrJgRhARq0dRiQW+G9qvl2nR4NbR2mG5tOAoYOWVdXeZh1oHInPGCOygL6SpKV3L/d+xyE5zF2+MtARJAfBiYolkmtrOSYwA/iMf2BlFHsxK/XArs+8cx4u4msmFDEQSr84SfVyB6QYW4sZ0EQYLnYz5ysaew33N4AHPGh4r/VLwBrXwS2vOftkdjGGDBnyisQzhT+FSoK/pQ48ttzBaUUYfqT7PqfD8kNMewt+3OUAbOjTlEnFMnH8s5NwboVowezmdzFVpKAF/yFxntWTmJJknHyIFv9Dom1bmfn4a6LLpnTbt++Hd999x0KCwuh1ZoGUj/88INbBtaT+XxLPpq1egxICMPU/l3PMAUWMznBRsMQBByuxFXj0uSDSVs90N6IlcdbsPFYNfzVKiy+fjSiQqSlJH7g4n6y9g5kPMPcK50F5QERbEZcdbSTnkmlEjA0JQKbjldjT1GdXCjlIYprW/DX/nKU1rWhtK4VZfWtKKlrQ1UTyxa8f+0ozB4sZcJ45j08GfAPZUtvhZuBgfPcNyCjliuLHTzXvwocW8k0rZ7yfSbcj5RR2mvIwrjMKKhUCr0rP3m0VFnXZVZJBX+8gcHY24Af/wVs/xiYeH+P/S5kxoYgrEDKhvGAuZciwyyKnrGVchVRZPZ+fyxgx8VemSwYtodKBQw8j2mZj/4pdwG0RUcbsO19YNAF8nvibk7uY5c8kPNFRFE+p/TKlL3Knen2xzPMaeNNtztq6egsRilCIrMiK9rKVhi+vQ64bZ39ZX9O3GCWoW6pZmPkSSxbnFgjX7fQRbdbMXfI4Niq2+gO/TIgB8zKoj/ujZ2Y7bXjjtMZ5m+++QYTJ07EwYMH8eOPP6KjowMHDx7EqlWrEBER4Ykx9ijaOvRYsjEfAHPGELr6wTaUAtW5MECFbYYBcpvsgDAWzALQ1hThv3+wLmU3T8pEerSigIEfzNImsEt7GmalJEMQWGEDYFfH3B1OGXd8sQvP/X4IH2/Mw18HyrGnuN4YLAOsM6KReul1RKQC6Wew6+6UZSgt5aKygJTRzGC9rY4VfRE9g/YmoyXcPkOmqX4ZYJ+pRrKDbLSipeSSDB4wD76AZUEaS4HDv7l/zN1EVkwI4oQ69g8/qUYy2z1oG63bTnmDpkrg22uBH25hv8HEbOCqb1kw7Aj957DL3H8AfYftfQFgyzvAiieBpdc4nl10BoNe1oqW7XX/47uLpgrWkU1Qse8Gb6LlaIa5uVoumE0ZY3qbow41zqLsbicIwAXvsZWTukLgq8vZ5FilYQGxLfwCZd9fR2QZ2hZ5cgCwgNWbNS984hBqrmG2FTArPJg9Cc9eKzPMjmb+PYjTAfPzzz+P1157Db/99hv8/f3xxhtv4NChQ7jsssuQlpbmiTH2KL7bWYzqZi1SegXh3GFuqOyVuvu1xQ5FA0Kw8VgV2jokmx3pgLJq227kVTUjJjQAd5pLQPiBq/dZ7LJBqmC2Rp1CkgEoAmbLs+HsFBa07ymqc/QVuURJXSumn1yMv/0fxL3jI/F/8wbhg2tH4bd/n4lf7mYa4o3HquQAmlvKRaTIATP3ZXYH3FJOpQEi0thSUO/p7DaSZfQcyvcBogHlYhQqzQv+AMkTljcJspDpEkU5w8xb6GoCgFE3sOvbPvDIsLuD3rGhiOUBs9F2Kki+7orfric48BPw7jjg0K/s9zjtceCWlc45XqSMYXZa7fVyi2Zb7P+RXZbvZc/rbmrzZcvKhmKgpcb9z+EOeAImIkUqCs1g/zv63eDuGDH9gWCzWh+PZZilQJA7bwRFApd9xgrdeUAbO9Axlw+jLMOBSU3hZibVikiVXTX4KoI3aLSWYbbRHttY8OdZNwqLkoyeGDAfP34c55xzDgAgICAAzc3NEAQB999/Pz74oOeeHJxGp7V4EPslh/24bzgjwz1FcFLAHNRvGuLDA9DaocfWPOl5JVnG1t05AIAFs/ohLNDP9P78wJU8SqpgFm3rD40Z5gx2aSfDzAv/jpxslAN5D7Dq0Elco/4H/VQluL9POW6YmIlZgxMwJDkCw1IikZ0SAYMI/LlPmjXzrERkqqIob59jPtSOwE8UkenykjvpmHse0nL3PkMmIoP9MCDBQnFVhI0TSEMJoG1iS7NKa6nRN7FtBRu9r1V0kUxFhtkQojip+oqOuaMN+P4m4Lvr2bJ4/BDg1tXAlIdMi8ccQaWWf79H/7K9b9Ux00Bn9fPu9wrmqxYcX+0ox1fZemWaXtbmO5Z555MTc/0y4HkNs1IHmzQcmPuy/L+jQZkzhX9cv5w1hX1XAe8eG5qsaZil/9sbOtu6dUfTEqBz0Z9OC1QcZNd7UsAcFRWFxkb2JiYnJ2P/fvaB19XVoaXFRzu+uZsjfwJvDgcWDjI5sNW1aLGzgC1Tnj0kwcqdnUAUjQGzkDkZ0/ozh4zVXJYhZZgjdZUYmBiOS0enmt5f3yFnWqMU+jJrhX+6djko6JRhthwwJ0YEIiY0AHqDiAOlnpNl7DpwGDGC9OOp7iwrmSf5QP+6hwfMigxzeKIUzIhygUlXMWq5FBn9PtMBCCwwd7cVEuEZJF3cXkNmZ/0yx5hxsbA0zH//0b1NLajCk2S9fA/NMqf0CkKswH7T1UKkfINSx+xNtr3P3EgENTD5IRYsK9vlOgu3l7NX+HdQyi6njgcCI1h9xH431+7wQlJOuY/KMpQFfwDLngoq1jCm2QG5QRH3Xx7f+TbuBNVU7t7W5UpJhpKR18tFon1nOvZY3EmjcLPtlVtA1i9nTQMShrLr3tIxi6KcYTZ3yVDIPY32e/w+/LznyaYlQOeAufIwy84HRnjcCcMWDgfM3GN50qRJWLGCdTS77LLLcO+99+LWW2/FlVdeienTp3tkkD5DYzkrDPj6CpZZ0rWaHCjXHq2EQQT6x4chpVdw15+vNo8Ffio/IG08pkoB86rDFRBFEVUqVlCYhGo8ce5AudkCp17hqRyaoAiYreiY64sBiIBfsGzFxDVaTeVMb2aGIAgYnsplGZ4JmFu1ejQWKApfao532uccSf6yLb+GOYnwDHOEFPgbdcxu8mM2OmQoAuaQGLlZxbF/3PM8tmiqADa/w7RxhFVEUcTqwxXIPdnY+UaeYRazOssxOLaWKI2WchaW/8fdxi73fuu7S+o20KhVSJAyzAVaRebdmGH2crc/3oL87BeAsx637ZnrCL3PYsfamuOWO8BxDvzELkdeC5xxD7u+5nn3BnX8exUoBS7lXly6t4V5hlnjLwe69hyZdFrmlQ1Y7sQYEss+D9Fg2eLMVZRFf0oEAZj3JjD/EGub7ggpo9nxoa3Odr1Cc5X8GWYqMsxWElEep62exS9A54kDIGeZlXKYxjJJr672fNBqXvSnlGN4sdDY4YB55MiRGDVqFAYOHIgrr2RG8I8++igWLFiAkydP4qKLLsLixaew8fuuL4C3x7KDtKAG0s9k2xXL77wgb9oACz3OXUHKLiN1LOAfgjP7xsBPLaCwpgUnqpqx7Dhb8hoS2ogzelvwGjVWL6ez4hfjcpmVA5l5wR/Avrhcl1Zhr/CvzuGX5gybjlehjyFf3sCXhRQkRgRhbAbTwP2+t0zOrEdKWXcuy3BX4Z/SUk5Jd8oy/noUWP4YsOVdzz9XD6WuRYt/fb4TN36yHXPeWI+FK45CqzOwG9ubIEqBkcWCP44tDXMVL/gb0Pm2tAlA/FB2Ytr9RRdfiRfQtiAEbDJ2tEmRAPCF5iX1xaybIgTmVOEOAsOBDOm4bi3LXHmUZQVVGqD/XGDc7Uz7XHMC2PO1e8YByBlm/tp8tfDPeBzMlLc5ai1XvpfptIOiLC/xq1SKAjQ3yjKsZZgBuWbB0aBMpQaGX82u7/7c+n55a9ll/FDmzc4dpyqPWLRs9TjcISMggtUlmGOp8I9PIntldH1yag/zoj8f0C8DTgTMGzduxMiRI/Hqq6+id+/euOaaa7B27Vo89NBD+OWXX7Bw4UL06tXLk2P1LssfYQUhSSOAf60BLvmYbS/dBTRVQG8QsfYoW4I6y90Bs9QOOzRAg3GZ7KT+zK8HsaqUtbPsE2Als6u0+wHsSzKMBX9ms0c7s2GuY97rIaeMVYcrMFClyGZVd84wA8C8bDYrXrk7VzaH55XWPMNcuss9GVmlpZwSvpR3fI1nD4T6DiCXrfQ4VKR0GrIjvwZz31iPFQdPQiUAOoOIN1fm4vx3NuJgaQNQeRgCRFSIkTAEx6C/tfb1Rs9zCydtc4cMJYIAjPsXu94TA2bppNoq+uOI0hDDF5qXHJKyeWkTOhctdQXulmFNx3zwJ3aZNY0VqQWEAmfez7atfdk9v3mDQS4kHXYZu6zO9c2VJGXTEo6jhX9G/fI46wEqX91xl1OGwWDdf9hVRlwDQGCSC2uv2SjHmMIuI1JZsGrokCfd3YmtSQNgOWDuLv0y0LnozxgwD/f8c9vA4YB5woQJ+PDDD1FeXo733nsPxcXFmDFjBnr37o3//ve/KC52s/WLr6EJBma/wKqvE4exgzT/8I79g92Ftahr6UBEkB9GpkV2/flKdjJPX8AYMANy9nrt0UqUgmVU/ZpLLRdYGJfLMtglP6hZk2QoM8xK7DhlDEtmy4Z5Vc2ob3HAkskJRFFkAbOgODm31li0tJozNBEqAagpk15fUBTgL1nsRaazg69BBxRv79qgzC3llCQOZ0uJ2kagyIOBbNFWeVJQssP91la6draa8tUVwMdzelTLb71BxNurcnH5B1tQWt+GzJgQ/HL3mXj7qhHoFeyHQ2UNOO/tDVi5lhXhHDakYlxmtGX9MmA7y2VLkgHIOuaqIz1PliEFzJViBE5UK4K1XgpJhsHghYFBdqZwp686IOuYC7dY/ry4HGPwhfK20TczyVt9IbD7s66Pob6QaYBVfkwnHRrPZAneWr63Rls9OxYD8jlGed1ewMwdKSwV/HGMBbduyjA3VzKZoqACQtyU2OqVLgfCu7/sfLsosgQKIPuCKy1bvVH4Z82DmWPJoaS79MuAImBuYFInLmfpKQEzJygoCNdffz3WrFmDo0eP4sorr8T777+PzMxMzJ071xNj9A1uXQlMuNO0k4xi+X2lJMeY0i+2a+4YOi2w6jngo5lMFxXdF0gebbxZmb3WBiVAhMCWtVo664vlDHOGdCllmOsKLVd1K7v8KeEd/04etDjkXiH+SItiS7Z7S+qsvzYXOFzeiJr6BmQJku6Me+JaKPyLCQ3AxD4xSBKk90JpJC8I7vNjNreUU6JSAX2kLLMnZRlHl8vXW2vt+2s7giiyJh5/PAj8rz/T6x/9EyjcxHxnewAVDW247uOtePXvo9AbRFw4Ihm//vtMDEmOwLnDkvD3/VMwe3A8dAYRhYfYxOmImGraDtscY/OSatPCnuYqKWAQrAfMQb3k27o6UetupJNqBXrhRGWzvD08hcnS9O3yibdbx1XJvpMAMPBc9z52r3R2vBP1nesQKo8wWZrKDxigONf5BwOTF7Dr615lLXzNqToG/PJvYOUz9ie3ylbrao1cIFbuY04ZPLscEmvautuR5iWiyArlAMsFfxxjhtlNATPXL4fEubeh0Ihr2WXOl53PrbV5bBKk8gPSJ8jbuSzDG4V/1jyYORYzzNxSzsMezIBc9KdrY785XStrQGaeoOpmuuR71rt3bzzyyCN4/PHHER4ejuXLl9u/U0+Fa2GV8ID52CqsO8S+WF2SY5w8AHx0FrDuFXbAHnIJcPPfJnqhzJgQ9IkLBQDcPWswhFDp+SwtWZkHzOFJgNqfLQNZ2l/Z5U8Jl2RUHLJqnzRckmVsyHVv++lVhyvQVyiGRjCw4IMX1Vko/AOAecOSkCxIYzAP/N1V+GfJUk5JPz6RWtG157EFD8ZV0vN3NRjb+y3w3kTggynM1aG1li1Z8kzajiWAttn2Y3iZgupmzHljPTYeq0aQnxqvXpqN1y4fzlrES8SGBWDRNaPwxhXDMVjDfgNHxFSM721FvwyYNi9RZly4zjQylQVN1uANGbgjQE+hUc4wl9a3yraRao2c+fOGjvnI7yzjmjSi82/cHVhzy+DZ5d7T2HdCycjr2DJ7Yxmw42N5e30J8Ms9wDtjgV2fAev/Z7ugEJC/V1wXnyA5f/iajpkfB3kihuNIhrnqKMv2agLlY7olbMmhXMGeFMFVBpzLvhMNJcDxVaa3cTlG6jh5xRNQWMt5oaDTmgczx1Khs1GS0Y0ZZkDun5AwzPFGRB7C5Wdfu3Ytrr/+eiQkJOChhx7CRRddhI0b3eRA0FNIHmk0uw+p2AWVwDLMTqPXsQPp+1PYjycoCrj0E+CSxZ3N3AG8e/VILLwsG1ePTbOt8eIHLD7jV6kVBzMLs3/zpiWcqEwWMOhareqfeZOWb3cUudWPeeWhk7J+OX6IrBm2UPgHALMHJyBNxQLmWj+zyQsv1CzeziQHrmLJUk5J1jSWgas87BmdZ20+e2xBDQy7gm0r7kJ3QW0z8NMdbCavDgCGXAxcswy4/wBw8WJ2QmyrA3K+6tq4O9oc66LmIl9tK0R1sxZ940Lx67/PxCWjLLeqFQQB52cnYXQQO3mmDRhjXb/M7mDZi9mYCbSgX1bCA+YemmGuV0dBFIH8asWEyZs65oO/sEt3yzE4XMd8bKXp9/WAZCenlGNwNAHM/xkA1i9kyYe//wO8OQLY9SlLgPBJlz2pllEXLwXM3CrP16zlrMnSeADdWGY52w7IQVDKGPbeWcPdGmZrDhldxS8QGHY5u77LTJZznPsvTzXdrswwe6JbpC2seTBzeIaZN3nRaeXfendomNV+zK0LkL8rXi74A5wMmIuKivDss8+id+/emDZtGo4fP4633noLpaWl+PDDDzF+vI2llVMRlRroMwMAME2dg5FpvdArxInqUYMBOPIXsHgmW6ozdLDK67u2Wj4oS/SLD8NFI1OY5tLaDLylRm7SoSzi4wcz8yX8jlZ5edW86E+llu3lrCwfTR8Yj+TIINS2dOC3vfYtgOpbO3Dt4q14Zflhq/vUNGuxu6gOg7h+OWGo/GO1UvgXEeyH7PAmAMCeRrMgKKYvEBzDlnlKd1u4t4NYc8jgBEXKy4yeaI18VMoup42XvJ/RtWCsKpdpu4N6AQuOsILWPjPY565SA+PvZPttedd1zWpjOfBqX9Z61kMnh3VH2UTp7rP6GFdhrNJUAVVrNSCocM8V59pvYW9Jx8wLsywV/CnhGs2Sne5vcOFJpJOqPphNPE1kGd5qXtJaJzsODHTQ+stZkkex40R7vSzfqjjM/JZVfuwYbYnsK9kxoaUKeCMb2PQWk62kTQBu/AsYfwfbz54XvDHDLH2veIb55EH3Wtd1FXMPZk5QL3lJ3Zr1IF/l464k1nC3htlTGWZAlmUc+VOu+TDo5eJ984A5bhDTUrdUy+PqLqx5MHP48Y7L0Grz2aTPP9Qz750leJaZf1d6UsA8c+ZMZGZm4t1338Ull1yCQ4cOYcOGDbjxxhsREhJi/wFOVSRZxlRVjuN2crp2YNfnwLvjga8vZ84NAeHABYuAK74CQp2QdfCA2XwGzrPLofGmy8XWnDL4/f3DOi83AnKBAu+2Y4ZaJeDq8Swz/dnmfLvD/mDdcazPrcI7q49j5SHLOsg1RyogisCoQOlgGT9E9j22IskAgL4BrCBwdXkARGVwZqJj7sJqiCUPZnP6zWaXyx8DvruBaRjdRa4kfeo7i/mAAmwiYy2bYw9j4DfQ8mc//CrmB1tzwn4XNGsUbGQFHMdXeiTTWtHYhkNlzLPzzD4WLBbN4RO/qCzLtkrmhFuYmJoHNtaIHcB+V9omJmvqKTSxugxNBMtCnahskm/zVvOSo8vZ5C52IBDjoUyXSi3/fvn3nbtj9JnOJsSWUPsBUx9l10UDsxC76jvgxj+ZdpVPom1lmEWxc4a5Vyb7/ujb5d+qL2DuwsQRBNvWcqIoZw253ac1+O+uubJrq4IcY1vspK4/ljkJQ4CkkSzxtfcbtq1sD1udCwhnEiIlfkFyAshVHXNtvmvda42ZdivBb2CkvCLSWGqqX+4uH2SjF7P0+npSwBwUFIRly5ahuLgYL730Evr3t3OSOE1oTZ0CvShgoKoIs1PsLDe31rHluteHAb/czSrn/cOAM/4N3LUNGH6l819Ga0tW5vpljjUvZmXBn6Ux2On4BwCXj06Fv0aFvcX1yCmqs7pfdVM7lmzMN/7/2I/7UN/a+b1jhZQi+ok8wzxElkFUn7CaqYzsYAH47vowHChtML3Rlh9zVS7wybnA5xfazgRas5RTMvY2SS4hsKXcd8ayop+uFq9om4G89ex6v9lMNxkaz4IIV9vnGk/QVgrXAkKBUTey65tdLP5TFoxuec+1x7DBxmMsuzwkORzRoTaWeDl84scLWu1hyYu5Ugpe7EkyVGom3wJ6lixDynqFRLNjzIkqH8gwH5LkGIPO8+zzKHXMoijLMex5Pg+5BDj3deDST4Hb1rF6Bn485dKc6mPWXWfqi9nESqWRj3UqlaLwz4dkGdYyzIBiJdOChK/6OFvNVAfI74k1gqOYzhlwT/dUT2aYAdbMBmAJMVGU9csZkyzXu3RFx3zoVyb5+eoK5+/LV5OtFf1xP2qAve/daSnH4asUAPsOWCus7kYcDph/+eUXnH/++VCr1fZ3Po3YXG7AbpGJ4HvXbba+Y9F24PWhwMqn2VJnWBIw8xlg/gFg1nNyZx1nsSbJsDb7N1rLmR3I+InPvOCPY8daDgCiQwMwbxj7kX22Kd/qfh+sO4EWrR6DEsORGROCkw3teOEP08xbh96AdUcrkYRqBOob2QkkdoD0egS2XGrJGUSnhUo6KJaIMfh1j9lBlmeYC7fKy5sGA7D1A2DRJCB/PSvasFagZctSTolfIHDR+8DtG4B+c9hy1q7P2AFu+eOuW4zlrWOZpog09n4IQtc1stwH1FbgN/Zf7DMo2OCanEW5MnHwZ/dVvUusl+QYk/o6WEPAA3j+vbaHuYa5rUHOVlmbaCjpiTpmKcMcGceOMSaSDG80L9E2y84VntIvc3qfxQqka/NYkF55mP3P9c3WUKmA0TcCgy/oXKAUHCVnjYusyDKMrdb7sIw1hwfMvlL419Emn3PMzzGA7cK/Aq5fHs2Ok7YQBMsWZ67iKQ0zZ8glTHtbdYT91o3+y1Mt72/UMTtpGVi6G1h2K1vJKN7mXG1IexOblAG2PcwtBszdUPDHURb+xQ9xr6uJi3i35PAUYNXhCqzSDwcACMesuCLotMDPd7El6dgBwAXvAffuASbeK7c+dRWjJMM8YDbzYOYoJRnKDK21gj9OnBRY1ObLZuIWuG4CO5H+trcMVU2dl9AqGtvwqSTZWDC7H166mOnzvtlehPW5ctZlR34tGtt0GBssBSUx/VlxiF+g/JotFf41lgIQoVcFoBrh+G1vGQwGxeuMH8wM47WNwMl97H374kLgzwdZUSMvNDjyh+UXaMtSzhIJQ4CrvgFu+ptlt/XtwOa3mW69tc7+/c3hdnL9ZsuZK15l7mrhH8+U2gr8IpKBwRex65td6CzITwhBvdjkQekk0EVEUcQ6yZ1lsqMBM+9a6XCGmZ+0pZUcvjQeGm9ZxmIO1zH3FKcMgx5oZgFzfDL7TZ+obJIlTjzDXF/Sfbra3BXst9crU87MeYqAUJYVBJjNIgD0tiHHcBR7sgxrMh9fK/yrKwAgshXSEAsSKFsBs6NyDA6frLpjku3pDHNguLwKse0DuTmLtYA5XpoIOSPJaCgFvr5Sbm1t0DlnK8qzy/6hpkGpOcqJSpU3MsyKsSUN777ntQEFzF1AFEWsPlyJNYbhbMOJNaY+rZzNb7MZZ3AMcNNfTBPqrtaSPHhsLDU9cVmTZESmARBYT/hmxbKgsWmJlQxzSLQ8K7ehw8xOjUR2aiS0egOWbi/qdPuiNSfQ1mHA8NRITOsfh7GZUbheCrIfWbYPze3sNaw6zH7Us6OlMSYoTpBGWYYFHbPUEluITEVogB9K6lqxu0jR5ESllk9aa14E3pvAPjdNEDD3VeC8t9ht1lrj2rOUs0baOOCG34Grl7EDUfUx4MfbnSuiE0XZTo5rLAFF9tKFgFnfIb8me9KCCVLx34EfnDt5tTfKE7LpT7HLnUss/1Zc4HB5I6qa2hHsr8bI9Ej7dzDo5Uyeoxlmc5slWx3+LGFcjs/tGQ1MWqpZ9goCUlPSIAhAQ5sONc1SJ7vQeLakLurlSYSnUTYr6Q4dJc8m8wDDRiG2w6RKxx5rhX/mlnKcBEXAbK1oVtcO/PUYsP+Hro/THkY5Roblz8JawCyKQL6DBX8cY/1AF79n+g75nOepDDPALAYBYN93LEESnmy92Qc/r1XlOnY81DazwunGMvYd4d8TfjxyBKMHs50OmcYMc5mcnPJU3YAllMlEH9AvAxQwd4kjJxtRUteK4+pMiKEJrDuTeTFZXSFrmQow6YUj2ShnCIljlduiQbaKAawHzJoAOchWyjKsdflT4oCOGQCuG88C4C+3FECnlwPC8vo2fLGVBU7zZ/YzOhM8dPYAJEcGoaSuFS//xU4Yq6RGMMP9pYOkMqNkq/BP0nKrIlMwaxA7ILyx8hhatQpNcoaU2Tj6FysoSB4F3L4eGHsra22t8mOBjaVCPXuWcrYQBKDvDOCKL1mwcfRPYP2rjt//5AE229cEmZ5skkawauuGYnZwc4bafFak4hciB4XWSBrBrPkMOpY9cZQKKQgITWCV5BGpLCDb/71zY7XCOqkl/fisaARoHJCM1ZxgmUpNUOffhzVMqsZbHZOxKAmOkr+3JTsdu4834Zm4kFgEBgQgKYIVABl1zCqVfKzojsI/Xbu8ujLQw/pljnJSqvYH+p/d9cdMG8cuS3dbLtK1NhGLHcCOS2311mUwu79gDYb+fKjr47SHcQXTghwDUDQvyTcN8GvzWHJH5Wdfv8xxV4aZT3xUfsy61VOkjTeVLmRNtT7BC0tkYxH1zIXFFgYD8MO/2KQpOAa4aqnc+c6Z9tqOZtn5Ma/ykHG1yWahu7tRZpgpYO758KDujN4xEPry7m5msow/H2ZLJ+kTgWwXxPn2UKlk/TMv/NMrGpNYKsgwyjIUyzj8pGdNwwwoOv7ZDpjPGZaIqBB/lNa3GTsgAsA7q49BqzNgTEYvTOorL+OFBGjw4sVsaerTzQX4bkcRjlc2Q6MSENciVec6mmGul7LaEam4dkI6/NQC1h2txOUfbMbJBmkGz5fHVBpg2uNMLsEzAIERcjB61EKW2Z6lnCMkjQDOfY1dX/284w1OuDtG1hRTZ4eAUPmzKXEyy2z0Eu7jmCn8hLvY5c4lTAvnCFz+ED+IZeXH3ML+37rILRZz63O5ftkBdwxA/v7GDTDt3GmLoF6yXKeh1PkMM9CzZBnGoiA26cyKZU5IxyssOGV0h475xBomowpLst3owp1EpskT9T4zui6fA1iAGRLHJqnmtQCiqMgwDzS9TeMvW3taKhAz6NlKJsCyqJ5exTAeB60EzBGpbBKvazXtBsnlGMmjbDf7UeIuDTNPJoQlerYBhiDIxX+AdTkG39fRFtkr/4/ZlKr9mZtWrwxZRsdldY5gbIttL2CW3ne+GhKawCQn3QUv+lP5df49eAkKmLvAaikYPGtgvJyNULZDPvwH08KqNMA5//PcMmKE1IWQB8l1hSzjrAm0vOxi7pShbWbeocrHsgQ/edgJmAP91Lh8DHscbjFXUteKb7azLPb9iuwyZ1LfWFw+mt3n4WVMpzcpPQhqPkau9QJsZ5h5pjwiFSPSeuGLm8ehV7Af9hbX4/y3N2J/ST2brV79PSvIm/JQZ2kFX4q1JMtwxFLOEUZcDYy+CYAILLvZMQ0a91/mHSaVcHs5Z4vKnM2U9jubTRba6h1vZMIL7HhQP/I6lt0t3ye3x3WRVq0e2/JZcOBwwR8vQHRUjgGYVY2XuBYw96TCP+NJlR0/hiSzYHHtUYWMqzubl3B3jIHndmu3r6aR/4JWEwrtmNvd84CCIEvCuL6V01jG6lwEteUVLK5jtlT4d+QP02OIM0v0rlBjJ8Os9pNXMpWyDGflGID1Oh1nsWel5k6yr2SBrcoPyJxie19e0GlLx7zrc2DjG+z6+e/IKxX8uO1KhtmaQwaHH+/0Ui1Sd+qXATnDHD/IfRLWLkIBs4vUNmuxs4BpY88aEMd+FCo/FsRVH2dBKF8am3C3nB3wBOYzcKUcw1KQbu7FzIPMwAjbRS1KSYadzODV49KgEoCNx6pxrKIRb6/KRYdexISsaJzR23Im8LFzBiI+PAC8Ru/C5DoAIgv6QxXBkC1rOT5pkFqZj8uKxk93TUTv2BCUN7Th0kWb8df+cia9sPaZcEupws2dMzWOWMo5ytkvsiCqrR5Yei2gbbG+b0sNq4YGLAfMyTxgdnK535GCPyUqlVkjEwcacZgHqMFRQLbUFWvrIsfHaoFt+TXQ6gxIighE71gH/eCNGWYnAmZA/p1VH5ezqo5ONAA5YC7Z6XoDmO7CeFJlATN3v1l5qEK2gOyuDLNex5IPQPfJMSSeLMhGv6YP8H6BG317jYV/Zjpmnl2OyrLc/U6pYzZn45uWH8tTOOIUZK5jFkVFwxIHC/6AzgW3ruLpgj8loXHAdb8A1/5g24kCUFjLWQmYC7cCv93Hrk95GBh2mXwbn7BX5Tp+TDG+Dw5qmDndqV8GmBWnoAb6n9O9z2uDHhcwv/vuu8jMzERgYCBGjRqF9evX29x/7dq1GDVqFAIDA5GVlYVFi7p2guasy62EQQT6x4chOTKILVWkT2A35v4NrHuFyQMiUuWWqZ7CqPGSDijW9Msc8wyzvYI/Tkw/li1vr2ca1pKdVoO8lF7BmD6Q/SBf/PMwvtvBxjZ/lvXALCLID/+9QM4kTwiRMgLmFfGR6Wy5r6O5c4ckhSSDkx4dgh/unIhJfWPQ2qHH7V/sxHtrjps2NVHSK509p2gwXTFw1FLOUTQBwGWfASGxLLvw6z3WJyLHVrLxxA02TgZM4MFY6S7nXAuczTADUiOTSPZecF2pNURREaAqHCnG3sYuD/1mLNR0hfVSxnNS31j73fo4xgDeQYcMDj9x561jn0VghHNNhuIGMa14e4NzGSFvIFnK8YB5UFI4BiSEQas34I990u/S3Rrmg7+wJj+//Bv4+wlg/f+A7YuBja8BrTVAcDTrmtdN6PQGrDzE3oflB93YiS1VETArgxx7qxYJVjLMhVvZZFrtz2zNAM82ODHo5c/cmiQD6Bww1xWw47NKA6SOc/z5+PmttdZ2UsEenraUMyd9ApA52f5+Rmu5fZ2P/20NwA+3sLqRwRfKjXE4vTJZoq6jxfEJRZODGebgGPbYnO7OMGecCTxSCEx9uHuf1wY9KmBeunQp7rvvPjz++OPYvXs3Jk2ahDlz5qCw0HL7zby8PMydOxeTJk3C7t278dhjj+Gee+7BsmXLujwWfiA9a6DihNlXkmXs/IS1RQWAOS8B/h7uhGi+ZGXNg5lj9GKWlvCUTUtsofGXg9c/HwI+PAt4Pgl4axTw7XXsNSsqfa+fkAEA+OdQBXQGEZP6xmBMhu1iixmD4vHcBUPw7PmDEdtsQb/Mx8GDe6UsQxTlSQN/TyQigvyw5IYxRtu7l/46jGd/s1FkYUmW4aylnCOEJ7EmB4KaVVVvftty0Mz1y/0sZJcBNpkJCGcHTivdGDshiiwzATgnLfAPYUuOgGWdt5KmkyzYEVSmzxE/iJ1MRD2w/SPHn9uMdZIV4eR+DsoxtM3yyoqzGWZ+4ubeqtwH21HUGrmBia/rmJtMM8wAcMEI9vp/3CUdZ9zZvKT6OPDDraxByK7PgE1vAiufAX6fD6x6ju0z4Jxu9WLdXVRnzKbvL2lAeb17XF2QOIxJklpr5Q5qgHWHDE7CEAACOw41V8nbN0nZ5WGXA5mSFV5XJRl6nXVdbH0x02Cr/GwXChsTM/nskssxkkY6d04MjGD2dUDXdMzdmWF2htgB7JzSVt+5Adlfj7KEVmQaMO/NzscbtaLBjaM6Zt4W2977oKyPAro/YAZYfY4P0aMC5oULF+Lmm2/GLbfcgoEDB+L1119Hamoq3nvPcuewRYsWIS0tDa+//joGDhyIW265BTfddBNefdW6M0F7ezsaGhpM/swprm1hy/oAZg5SLGvwpfLKw2xG2G8OO8h7Gm67w7Or1jyYOTwr0FLNZrDGpiVW9ldy4SImMcmayjKjEJnlzMGfgb//A/zxgHHXiX2ijcVCAPDALMeCsmvGp+PaCRnyEpVSv8yxVPjXXMUCWggWD+QatQrPnD8ET5/HAqUlm/JwrMKKp3Q/KWA+tlJuyeqqpZw9MiYCs//Lrv/9H+CjGXKHMYBldHjDBj4pM0elkoMxRwv/GkrkrmLOZsx5IQs/CVqDZ5ejenduQT3uDna561OXMkfl9W04erIJgsC+aw5RcRiAyL67oQ4G2Ry+RNkqyXRc6Txl1DH7esAsZZgVy7bnD0+CIDAZTFFNi3y8aDrpelt2gH3Pf7uf/XZTxgLT/sOOMcOvAQacy5xZ0s8EJvzb9edwgVWKgmVL/7uM2k+uOVBq+LmbjDWpWECY/DvlXT2rjgGHf2fXz/i3azZjllj5NPDOGGD1C51vM55f0m0XzfLvB5+guiLH4JivoroCbzTUXRlmR9EEyMcSZX3QwV+AnC8ACMCF71svuOP3dXTVqsmJiYPyPNqdTUt8lB4TMGu1WuzcuROzZplm2GbNmoVNmyy0OQawefPmTvvPnj0bO3bsQEeH5c44L7zwAiIiIox/qamdl7/fXJkLrd6AM3pHY2SawiYupq+cddEEsexyd2De7c+eJCMgjC23AOzg54ilHCduIAvurvsZePAYsCAXuPYndpIDmLVRATsJCIKAm89kwfnMQfEYnhrp+GsyGOSDh3mGGZCL7pTNS/iEISzBZpHA9WdkYOageIgi8O5qC4WDAHOyCI1nlfm8srsrlnL2GHc7MPkhVqhZsgP4+gpg0ZnAvu9ZcVBrLZNB2LJictaPmZ9Uo7JMu4o5Qtp4AALL8JvLYpTYkj/0m81+L621LLvuJLzRzbCUSEQGO1gU4mzDEiXhpqsWVjOBtuBOGa42mXGW9kbHdObmNHbOMCdGBOGM3mxi8nNOCXMO4Zm/LshqkPMVkLeWHTMveh+Y8iA7xlzwDrNgvPF39ueozt5N8KLuAQnsNXJveLfAJQncgcDEIcNGYsG8gcmWdwCIrO4itr8cPDUUO+5iY057E7BjCbu+9iV5ss4xejDbmWSbSzLyJflkuhMFfxx3OGXw77SrXXU9ibGgXnJAaTwJ/Hovuz7xXrlDrSX498WRSVJHK8tkA/Z9mAE5SaDS2HbQOk3oMQFzVVUV9Ho94uNNP+T4+HiUl1s+YZeXl1vcX6fToaqqyuJ9Hn30UdTX1xv/iopMTwTHK5vw/U42y10w2+zAJgjA0EvZ9bMe774vGJ99c49YR/RlSlmGscufC+MNjQN6T2MnuZHXs22/zze26rxqbBq+umUc3rhiuHOPW5vHNMrqAMszWx60KivDLeiXrfHvs9jy0s97SlFQ3dx5B5VKLv7jsgx3WMpZQxDYd+a+fcDE+1ggcnI/c9D4Quqw12eG7cy2swEz1zm6kikNipSru/mEwhLmDhlKVGrWchtwyWJuvbG7n4N2csrxOOOQwYkwW7VwRsbC4Z9R5WHXOj06Q8Fm4H8DgG+ucv6+ZhpmzgXD2Xvww+4SiEDXC/+aKoG/H2fXpz7imd+WC5TUteJweSNUAvDUPPZd2XCsCm0dLkw+LGHe8a+pAmirY9IlW0vf/DdXvo+9d9yp5ox72GVwlLTyB9d1zPu+ZYkCCABE5v2rdKiw58HMMa5AlDPpV10hk55xhwdn4IFbV5wyulvD7Aw8KVS+nx0Hf76LrWQlDGXWp7bgE3dHPm8+adAEOmaTyN/3XhnOJ1VOQXpMwMwxL+wRRdFmsY+l/S1t5wQEBCA8PNzkT8nCFUdhEIEZA+NMs8ucqY8Ad+9gy2PdRWAkKyYC2IG0XZKR2MoYK50ynMkw22LG/7HCnIqDzEEB7H0+o08Mgv2dlDBwi524AZaDxCgLkgwr+mVLDEuJxJR+sdAbROtZ5v5z2eXRv9hBzF2WcrYIjQNmPg3cv48dKIN6STITmDZSsAT3p6064lgw5oo1mhJuDWXerEeJvYzuiGtYsVLFQafauxoMIjYc4/7LTkgrupRhNq8ad2GiERIjBxrOemY7Q00esPRqJrk5thLQaR2/b3sjm6wCnQLmOUMTEeinwonKZuwrqVdYy+W7Ns6/HmErDAlDmQzDR+DZ5ZFpvTA+KwpJEYFo6zBg03HLiRanSRkDtkJzggXLPLvcK6OzdElJgtTAoWwv0/7r2pgmWJmB7IosQxSB7VLb+ulPMgvOlmrg+5uMSRC7Hsyc4Cg5KMv5kl0mDbfdjtkaxlVUFyUZ2hY5s+prGmZAkWHeD+z4GDi2giWLLvoQLQYV3vgnF8crrawY8OOQI5+30l/dkfoLXqvjyrHuFKTHBMwxMTFQq9WdsskVFRWdssichIQEi/trNBpERzuoeVSwv6Qev+9ls1Srely1n/U2mJ5CEOQDCs/2hSXaPvDyk3b5XnbCAroeMAdHATOfZdfXvCgH4q7A9csJFvTLgJxhrs2TK835srAlFwkL3DOdZXKW7SpGSZ0FDWbWFLZMXF/EDmQ8OO+OLFhQL+auct9+YPYLwJnz7bfmNQnGHLCXM2aYuxgwW8swO9KCOihSrv43b+Rgg4NlDahp1iLEX40RaZEO30/OMLsQMCsnpn7BDq1kWMTTsozWOtY+t6Wa/W/ocM6Vg2eX/UM7Fd2EBmgwaxALOH7YVdK1DHPuCtbtUVCxlvTdUNC3+Xi1sTOkLXjAPG1AHARBMDr+/HPITTrmoEh50la0VTF5tSPz4ZKM6mPAtvfZ9Yn3mAY/zmpalRRvZ7IATSAw6gbg0k9YMXHRFlaECQA1+ezSXoYZkLPMOV+zy3QX9MuALMlwNcPMdbt+wXJDDF+Cn+eqj7M6FoAlTuIG4tvtRXjtn6O4/uNtaG634IAU0xeAwDLSzXYmdMbCRwez7EMvYY5GU3zHqcKb9JiA2d/fH6NGjcKKFaZd0VasWIEzzrCs75kwYUKn/f/++2+MHj0afn7OLy/87292ADovOwkDE33sR8eXi3nwYq+Aj2cH8taxy+Bo91SkDr+KHRQ7WoA/H7G9r15nfRmeZ5gtFfwBLFhR+bEMC9e1OSHJAIBR6VGYkBUNnUHEojUWssx+QUxuArDCGr4U6Q4PZkcJCAUm3AnMeMqxJTFeTORIwGw8SbuYPUibAEBggXeThUCiJs+xFtQ8M+5Ey2jeQGNC7xj4qR08jDVVSA16BNc6Rymbl8T0db2BBpdleMIpQ69j1mxVR1hXPB6U2esipsSCflnJhZJbxq97SqGPkALmasdXBwAwnexv89n18XeymgEPU17fhmsXb8X1S7Yh96SVYl8AbR16bJQyyWcNYC5I3A1p1aEK63aUzsKlCYVb7DtkcELjJDswkSU6ItOBAfNM9zFmmF2QZGxfzC6HXCy1c89ijTIA5sZx5E+FtaYTATMPWDMmOT8mQD6/NZR2vq22APhoJrDyWev3VzpkeKqBWFcIjZOL6DtaWF8HyXpzbwnLjBfXtuKFPy04O/kFyckue1lms4ZEdgmOAua+zFYGiJ4TMAPA/Pnz8dFHH+Hjjz/GoUOHcP/996OwsBC33866MD366KO47rrrjPvffvvtKCgowPz583Ho0CF8/PHHWLx4MRYsWOD0c+8qqMHqI5VQqwTcP9MHlyeMbSwlTZy92T/PkvIsVFezyxxBYF0NVRrgyO9ywwElOi0z2n85C/jkHMttXI0ZZgsFfwDLRvGDMS/8czJgBoB/S1nmpTuK5NbZSri93K7P3G8p5wkc7SbXUiN3d3R1uS04Ss4cW5JlGOUPdlpQuxAwrzfayTmjX+aOHZmOt+U1h5+4Xc3KA6Zac3c2MBFFZvd4YjXLpF31jewDa6mdsjXM2mKbM6lvDGJC/VHdrEVOh7Sy5cTqAADWEr6+kP2Wpj0GAGho68DB0gYYDG4KSM34amsBdAYRogi8t9aKDAssC93WYUBiRKCx4G9CVjSC/NQob2jDgdLOzkkuwf2YnQmYATnLDDAZi3lm3tgu2cnmJc3VzNYPAEbfLG8fdJ7crGjZLUzmA8Gk5qW5XYfLFm3GI8v2olWr0HkrJ8qCStZuOwsvuDUv+muuZjUexduYJac16REPtMPc2IDG3XBZRmAEcMF7xgn5oTJ5cvfFlkJsPGYhi2xsYGInYOY6bnsezIRFelTAfPnll+P111/HM888g+HDh2PdunX4448/kJ7OfrhlZWUmnsyZmZn4448/sGbNGgwfPhzPPvss3nzzTVx88cVOP/cbK1lQdtnoFGTGeNhX2RV4kMi1h/YyzOYBtSsFf9aIGyjrEf98iHnfco6vAhZNBFY8wRqgFGwEPp1nmqFsrWMnU8B2cZax8E86+TkpyQDYiXB0ei9odQZ8sM5Clqzf2QAE+UDtbks5d2Nskb3DdhEdz0REpHbNJ5wvsVqylzMW/NkpsOMBc9keWSdpg+Z2nbHL5mSn9Ms2ChAdhevXlUGLs8QPYQFte72pDy/AXv+uz1jjI2eD6W0fADsWAxCAiz5k+lPz6ntHsJOF0qhVmJfNAo+viqJYINRYatstRUnJTmCrZAV67mvG798tn+7A3DfX44wXV+G53w5iT1Gd27K5Wp0BX22TC7h/ySlFca1lK8NVZnIMAAj0U+NMqbjUbfZyPHgs2yOvqDlST8AlTEG9gBFXd76dT+Zq82RLTEfI+YK1QU7Mli0qOTOeZt1EtZKONjwZ8As03rzuaCW25dfgm+1FuGTRJlnipjwPJQyzbo1mDz5RbW9gVqgAW6X46lI5YaJrk+32zPFVD2Ylwy5nn+n57xpfr1ZnMFqfzpBkQQ99vxeNbWbHSaOO2c6qQqOTGWbChB4VMAPAnXfeifz8fLS3t2Pnzp2YPFnupPPJJ59gzZo1JvtPmTIFu3btQnt7O/Ly8ozZaGfZWVALf40K/z7LR70IzSv47QXMITFMo8hxV4aZM+Uhlj2qLwLWvsyWzZZeA3x+IVvCD4kFZj7Dslgn9wMfny0HvDwTGJHKDiDWMBb+nWBBOffHdaDojyMIAu6WHDO+3FqAqiazE0xonByEAp6xlHMn8UNZsUhrje0iOmOHvy6ulnBPVUs6Zp5htqcXjspiWRVdm0NNV7bmVaNDLyI1Kgjp0U5kirvikMGZ8jBbQRl1o+uPodawQi1AlmUYDMD+H4B3xrFOd6ueY8WmjpK7ghXQAUz7OPBcdt1YfW+hi5g17EgyAFmW8duheuh5gFayy/5jc89l0cAchfrOAMDqQ7blsd9veUMbPtqQh/Pf2Yipr67Bq8uPYF9xPY5XNuFIeSMOlNZjT1EddhbUYGdBLbQ6+xOLP/eXoaqpHXFhARifFQWdQcSHFibIoigaA+Kz+pt2cZwhyTJWHnKTvVxkGtOSGjqkgjTBsd/j0EvZxH3mM5Ynu2EJQEAEe4+Vtpu2MBhkK7nRN3eWLWj8gUuXMB0/0EmOsUOawALAgdIGnP/2BmzPrzFNzPCaB1fwD5Gfu6GETSy/vY5NvoJ6AYnD2W1KX2slRocMHw6Yh18JPJQn/3YB5FY0okMvIiLID29cMRypUUEoqWvF83+YrR44mmE2ejD7oFNID6DHBcze5Nrx6UiKtFFI503Mg0R7AbMgmB7M3B0w+4cw7RPAlsreGQsc+pXZCo27gzmJTLwXuPFPFljXHGdBc9UxhX7ZihyDw7XENcdlh4yACMfschRM6ReLYSkRaOswYPGGvM47cHs5wGdsr6yi8WcZIsB2URnPRLjqkMHhGebKQ2x5VIktSzkF76w9geP+POiyLcsoqmnBwhVs7E61wwYUAXwXAuaweGDMLV3X+xtXArYBx1cDH04Dvr/RtHOlPVkNp+YE8N2NLEAacY1sMQYwrbagZnpXS/pPS1ixlFMyNDkCvWND0K4zoDBQ+uxKHQiYa/NYFlDtz4pZJb7cylaU5gxJwAfXjsK87CQE+alRUN2Ct1cfw7y3N2D6/9Zi9uvrcM6bG3D+Oxtx8XubcfF7m/Dg91ayigo+38yKEq8al2ZMenyzvajTBDm3ogklda3w16hwhlkznGlSAL2nuB4VjW7o+icIpi2iI9MckwrFDQDu2wuMvM7y7YKgkGU4WPh3YhX7bAIiWKGXJSLTgEsWs2TH4AtMbuIrPg/O7o+BieGoatLiqg+34JcihT96VwJmQNHRtpjZrh1fyeojrvoOGCJZbxZttXxfZ4vdvIXZ8eygJP8ZmBiGkAANXrmEHdu/3lZoWrzKJ622MsyiyM6vQGfHH8IhKGB2kGB/Fe6c6sPZRfOmCo4UZCj3caTLn7P0nwP0P4d1PdS1sYKP2zcAc15kVeIAy9je9CfzWm4oBpaczTocAdb1yxzuV1p9XKFfdjy7zBEEAXdPY4/12aZ81LWY6eC4vRzQyVJOFEVTzZ4vYCwqs3LyALrmwawkJEYuoFPqmLUtcobbRoC6PrcSryw/gj9q2AG8aL91T+ff95Zh7pvrsb+kAeGBGlw73kxGlPsPsGgSsO3Dznc26IEKqWDG2ZbYnoA7ZeR8BXx+AVCWw1Z8pj4GzH6e3eaopnvPUuabmzIWOOc105OuX6D8GTuqY7bQFtscQRCMWebVDdJvTsow17d04MfdxZi/NAfLdprZgPEai6SRxk6LTe06/JLDJE/XTcjArMEJeOvKEdj5xAy8eeUIzBgYj/BADcIDNYgO8UdcWACSI9nqgkoAfs4ptWn3dqC0HjsKaqFRCbhqbBrO6B2N7JQItOsM+GRjvsm+PLs8ISu6kxVmXHggslPYZHy1u2UZgPUOf67AAyhHvZi5ldzwK21LtPrMYM2qxtxi3NTWoceBUlaYdl52EpbdMQHnDE1Eh17E/L+q0KiJhhgQLhUJdwFep7P8MWDvUjYRvOwzIHWM/NiFmy2vpPQESYYFuH55UCL73o3PisYNZ2QAAB5ethcNXJrBJ0i2GtacPMCkjppA2w2wCKtQwOwg143PQHRogLeHYR3ljNEvWDavt0WUBzPMnHlvAGNuBS5ZAlz/q+Xl+YgUlmlOGAo0VwIFUtBkL8PMg9faPNkH1gn9spKZg+IxICEMzVo9lpidRBE3UM4sm53U3lt7HIOf+gtfbe2ChZ674YVeB3+yrmHkS3ddzTADsixDGTBXSi2og2OYrMUCBoOIF/9kS4uHBJb1az6xDXd8sROVjfK42zr0eOzHfbjrq11obNNhZFok/rh3kqlTza7PgK8uYzaJfyzoHDQrHTscmUx6mhQpYDbomNvLuDuAe/cAUx+WP7/S3Y7pmHmb7WGXWe5wyS2rHNUxW2iLbYnzpSYmP1WyIKStcAeu+mAzRj63Avcv3YMfdpfgkR/2mmqFC6SurIpA8ZecUjRr9ciKDcH4rCjj9mB/Dc7LTsJH14/G3v+bjb3/Nxs7n5iJbY/PwMZHzsLaB6fh6nFs0vT0Lweh01t+r3h2+ewhCYgLD4QgCLhDSn58ujnfRA9qlGMMsPydPWsAe09WusteThkwu+O3aP5YjhT+1RcDR6XmTKNvsr+/WRZ0b3E9OvQi4sICkNIrCMH+Grx91Qg8MLMfdNBgTvMT+HfoQuyu7KIencsO+STg/HeAflIn38RsFgi2VFuWofhqW2w7HCxjE5FBSfKx7qGz+yMjOhhl9W147jdpFS+oFxAifWetTZJ4C/XeZ3WtbuU0hgJmB7luYoa3h2Ab/2BmDQewbLEjS9WelGRwQmOBc15lS2a2xhQaC1z/m+kSpTUPZk54MjtIGnTyidiFDDPAMmZ8qXbJxjzUt3Qob2SZjHlvmiwr1rVo8c6qYzCIwJM/72eaPV+gzwz23rRUMxmMOdoWWS/eFbcHjqXCP1stsSV+21eGA6UNCA3Q4P9uvxYA0E8oxrr9eZj52lr8tLsER0824ry3N+CrrYUQBOCuab2x9LYJSOklLV2LIrDqv0z3K+rlSdYfC2TvV0CWY8T2t+3Y0V2ExjJJwrjbgX/vZKsuIZLjR+xAFti3N9jXoBoMsvRG+dtRotQxO4IDGmYASI0KxtjMKBwypKFd1CCwox5FeYegN4gYkBCGPnGh6NCLeOMfRWEjzzArso1fbZPkEmPTnJPYAHhgVj9EBvvhyMlGfLGlsxd0fUsHflJkrzmzBiWgd2wIGtt0RjlIfUuHUVpgLWCeLumY1+e6qetf/FDZ29uVVuvWiHVgiZ6z81Mm58mY5FLQzt+zUem9jJ+fIAj49/S++ODaUaj1S8RvJcG48N1NuOXT7ThU5qLLCM8wA0y/PfxK+X9NgFwXwL9jHFH07bbYVhBF0USSwQn21+CVS7MhCMC3O4rl1Q57LbKPSAGzcsWUcAoKmB0kPLAHtIXkBxRH5RU8axoSZ7vJSXcRFAlc+yMw7Apg+NX29cIqlRz0n1jLLl1tJgGWgeoXH4qGNh3eX2dmO5UwFBh1vUnQ//HGfDRr9RAEQGcQcccXu1Be7wZtY1dRa+Q25Ts+7nx7dS4AEQiKAkKcb+DTCR4wn9wvWwTaccjQ6gx4dTk7sN82OQtxyelAeApUgohzYytQ19KB+5bm4OzX1+HoySbEhgXg85vG4cHZA2TfZZ0W+OkOYJ2klZ/8EJP8jJMKe3++Ezj4s+l4uqJfdjcT7gTmvCQ3/+CoNbLvqT1ZRuVhFlj7hVjXihvbKTvgxazvkK0mHbCeunpcGjqgwWGRTbifHtWOtQ9OxV/3TcarlzK95bJdxThW0cSaKnBXEMmDeG9xHfaXNMBfrcJFI52f7EYG+2OB1ERq4YqjqDbTJH+3swhtHQYMSAjDmAy5gFilEnD7FJZlXrwhD20deqzLrYTeIKJPXChSoyxriQcnhSMhPBCtHXpsOVFtcR+nUGuA7CvYbzFratcfj8ODp+pjzJvbGvoOYNen7Loj2WULKANmc2YNTsBf903GJaNSoBJY45c5b6zH3V/tst65zhp9Z7KV08kPmur0OTxbbx4wtzcwb2OgR9mplda3oaFNBz+1gL5xpt0Rx2RE4aaJ7Nz39K8HmJuMrYY1dUWsdkBQyVaphNNQwHwqwYNFRzowAayd6rDLgbPs9KrvTvxDgIveBy5417EsOXet4J7CLmaYAUCtEown34835qHCki+zRENbB5ZsZAWCr16SjQEJYahqascdX+5Eu84HNM0jr2Uav4KNsnaX466CP05YvHSwFuUqdTsOGd9sL0RhTQtiQgNw8yTp+ypZWT0/VosHZ/eHv1oFgwhM7heLP+6ZZLT1AsBcBb66FNjzNXud895k32NBYJnbEdewrNn3NzNtc1daYnsDR72puU49ZZR1u0Pe/KfmhHV9I6e5EoDI3tNg+5Op84cn49e7z0T/kVMAAGeFFSM9mmVMh6dGYuageBhE4LUVR+XvRtwgo/sNlzLNGZqAqBALchIHuHJsGgYnhaOhTYdXlsvBgsEg4nMp63zdhIxO2evzhycjMSIQlY3tWLZLztRZyy4DLHN6ltEtw02yjHMXAg/nubcQKyKNrVLo2213YTz8G7MRDIkDBpxrfT8riKKIXYUsYB5pIWAG2ErEq5dm4+/7p+DcYSzD+9veMsxcuBa3fb4Dj/24D0//egAv/HkIC/8+grdX5eKrrYWdM/iJ2Uw/fdZ/LJ8blDpmJTy7HBjhuv+6F+DZ5T5xYfDXdA7V5s/shyA/NfKrW7C3uN72qsIRSXKTOk5eySKchgLmU4nMyQAEWQNpD7UfcNEHrAVqT8Xc5q2L0pKZg+IxIi0SbR0GvLkq1+p+n27MR2ObDv3iQ3HhiGS8f+0ohAdqsLuwDk//at8azeOEJwEDpKU3bhfFcZelnBJzWYaNDHNTuw5vrmTv7b0z+srFVVKQqC7bhbum9cHy+yfjo+tG45MbxiA2TFE/0FgOLJkLnFjDMqtXLWXZf45KxQLowRcyy66lV8u2d660xPYG3AfXnvMEd9LgmmhLhMbK3eHs2fYZm5bEOdzJcGhKBALTpSIiswYmD8zqB0EAft9XhqqD0iqQlAlsbOvAL3uYtvSqsa7/btUqAU+fx75nS3cUYW9xHQBgXW4lCqpbEBaowQUjOgej/hoVbp3EVrHeX3sCayTXgWn9rQfMADBdCqhXHXZj1z93o1IBMVJRtC2nDH5sGHmdZf27HfKqmlHTrIW/RoUhSbbdifrEheLtq0bij3smYcbAOBhEYPmBk/hqayGWbMzH+2tP4M1Vx/Dq30fx2I/7LEpsbCZRUqXvYM1xoIl9ll9sKcB7v7Lffo0qGt/vLMaaIxXYX1Lf2cvYx7Akx1ASEqDBjEFMNvXb3lLbGebDv7HLAee4fZynExQwn0qMvx14tBjof7b9fU8VzFwruiLJAFgG6eGzmZbwm21FyK9q7rRPU7sOi6Xs8t1n9YVKJSA9OgRvXDkCgsCyZt9s84EiQL7Euucb0+YxlW4s+ONwbXfBBrb03lwBQGAWWGZ8tP4Eqpq0yIgOxhVjFJ+XMavKgsTMmBDMGBQPlcrsJLn8MSb/CI0HbvyDLdWao1IDF34A9J3Niv1aJZ9YX3DIcAT+XpTvs918gmeYremXOY7qmBsVAbMzGAP8HOZIIjEgIRznS01O6o+sZxvTzgAA/JRTihatHn3iQjE2MwpdYXRGFC4ckQxRBJ78+QDLLkvFfpeOSu3keMG5YmwqegX7obCmBTXNWoQFajA6w3KmlDOxTwwC/VQoqWvF4XLrLba9DtdEW/PmrSsE8qRJjDWLOjtwOUZ2SoTFLKglBiWF46Prx+DnuybikTkDcP+Mfrhzam/ccmYmrpuQjrEZUSaP7TBBveQVpKItKKlrxX9+2o+jx9jk/EBjMBZ8twc3LNmOc9/agPHPr8SGXOvuKt7GWPCnLG42Q5mxN0RLAXNNnmnHw9ZauSCb9MtdggLmU42u+sP2NJQZZpWf3UIlRxifFY0p/WKhM4hGz18ln28uQF1LB7JiQ3DOULmIZFr/ODwgtU1/8ucD2F3o5AHf3WROZfKc9npg/zJ5u9FSzo0BM88wl++Tl0R7ZXSqxq5qajc2jDDRIwOSbldgFoE8cDOnpUYuZLzya1nrawmNP3DZp6yYCbDp2OFzRKYzSYReK/uSm9OscARQNtexhFHHbCdgNmaYndR6xvRjtngdzZ0ymvfN6IcwVTvS2rl+eTxEUTTKMa50odjPEo/MGYAQfzVyiurw+spcrDrCJBPXTrDexTTYX4MbJ8oStsl9Y02/kxYI9FNjYm+2rO22JiaeIMZOEdjepewyY1JnHb2D2JNj2CI7NRK3T+mNe2f0xUNnD8B/zh2EZ84fgvulY+je4nrnB6TQMf+5jzUrGRzGkgUBUSmY1DcGAxLC0CvYD81aPe74YicOl7up1bmbMVrKJVkPmKf0i0VYgAZl9W3YWRsI+Iex4meln3vuClYYHzuwy423Khra8M22Qtzy6Q4MfvIv3PfNbvt3OoWggJno2SgzzBHJDi8j2+Ohs9nJ5pc9pUaPUQBo0erw4XoW8N09rQ/UZtnPO6f2wezB8dDqDbjji10m9mjdjkoFjJY60vHiP72O+VYDsnenOwhPZEWaogHYvphts1Bg9/aqY2jW6pGdEoG5Q82CsoAwOStmTYqw91sWRCYMk7OwtvALAq78hhUCzn3ZMV28LyAInTLuneByjJh+QLCdDK2xRbadwj87bbGtolLL3dbMPruMmBDcM6ABfoIeVapYiBEp2FNcj0NlDfDXqHDxyOTOj+cC8eGB+Pd05nTz5spciJL+PTPGtoXWdRPSEeLPnFOm2dAvK5nSn9l27nA2C9qd2GpeIops5QkAsq/sfLuD7Mhnr390etdWCJQMSWYBYklda6ciTrukKgLm/Uy7PDGeSS/GDh2Ez28eh7/um4wtj03H2MwoNLbrcMPH21FW3+q28buDhrYOFNawQkVbGeZAPzVmDWbH0d/2lln+zLsoxzhS3og3/snFeW9vwNjnV+KRH/bhn0Mn0azV46ecUp+dcHgCCpiJnk1YgmzL1EU5hpLBSRE4T1pKVhYSfbmlEDXNWqRHBxtvV6JSCXj10mz0jg1BeUMbnv/jUKd9upXh17CuaqW7WeBVm8d0vX7BnZvddBUuyzixml2aFdgVVrfgy61smfzhswdYziraKnYTRWD35+y6M0vIAaHMjWLIxY7fxxewV/hnlGPY0C9zjF7MB0wkE50wZphdWKlJHsEuLQT4V8SzBiYbO/piXW4VvpK+B+cOTURksGvFfpa4aWImshQB8nXmzW0sEBnsj1cuzcY149OMS9z26BfPdKV5FiRbPoNRknG0czOP4h1sdcIvGBh0nksPX9/SgdwKVkQ6Mi2yCwM1JSzQD1mx7DPcW+JkllnKMItlOThQUA5BADIDJNmMwoM5QKPGh9eORp+4UJQ3tOHGJdt9StN8WMouJ0UE2v19nJvNXtfv+xSyDL6K2NEGHFvJrg9wXo7x1/4ynP3GOrz2z1Fjxj87JQLzZ/bDJKkI+9NNNopKTzEoYCZ6NoIgt8h2Y8AMsCpkjUrAmiOV2HKiGm0derwvyQnumtoHGitLt2GBfnhFstT6c38Zmtpt2Dp5mpBoYNAF7PqOj+XMQ0xft2XjjaSbtb41K7D734oj6NCLmNwvFmf0sVKpzbWwloLE0t0sQ6oOsN6+91QiycZ7AThW8MeJ7sNcEzpamMbRGg56MFskyXqhYthJ5hW93dAfL/xxCL/uYcvlV41zr/+7v0aFp6QCwMyYEIczxnOHJuK5C4Yi0M8xj24elBfVtECrc6C5jDeIygJUGkDbBDSUmN625yt2OXAeW9lxgV1FLLucGRPi9qZew5JZAeE+Z2UZkWlAWBIEgw7DVccxOr0XAlt5Ix7TFa2IYD8suWEMYkIDcLi8EXd+uQsdVprfdDfcq9qWHINzZp8YRAb7oapJi0K1dA7kx/m8dezzD0sCEkc4NYYOvQEv/HkYogiMz4rCixcNxbbHpuPnu8/EPdP7Grvj/rS7xLRvwSkMBcxEz4fLMrpgKWeJjJgQXDGWHYBe/uswvt5WiKqmdiRHBuFCO8vII1IjkRkTgrYOA5ZLS4Negxf/7V+mWMZ3o36Zwzv+cRQFdkdPNuLnHOaI8PDZNp5bmVU1z4rx7PLAeUZbslMaPnmoOsps9JTodXIgba/gD2CSCd6lsnyv9f0apI5oLmWYpfGW7zctVNTrjN+7/epBOFzeiNYOPfrFh1r07u0qU/rF4qe7JuKrW8d1kky5i9iwAIT4q2EQYVw69znUfvKxUblEr2uXaxq6IMfYKckxRqa5/zMcmhIJwAUdsyAYPb5HCUcxZ0iioi1259WD1KhgLLlhDIL91VifW4VHf9jnE84nskOG/YDZT61irxPAuhrps+CFnsZmJXOcTpAs21mMguoWxIT64+MbxuCKsWmICw803j42MwoDEsLQ2qHHtzuKnHrsngoFzETPZ9xtQJ+ZzFPazdxzVl8E+qmwq7AOL/3F2szeOa233cIgQRBwAW8dnFNic1+PkzaeySM6WoBtH7Bt7tQvcyJSWLEawLLAisYz3LN6zpAEDLZlPxU/mN23rZ75BnO0LcC+79n1kde6e+S+SUiM/H6a2bXh5H72eQZGOG4PaJRlWNExVx+XssMCkDjM+fFGprMGHIYO0+c4uY9luQIiMHniJONmVzr7Ocrw1EgkRniuGZMgCMiUZAO+LcswW6IHmCdvWz3LOjpqQWoB7mJhz1XEFYalSBnmkjqn79sYxwpgx6iO4OzBcUAjW80wzzBzhqZE4J2rRkIlAN/vLMYbK63biXYXB3mG2YGAGQDmSVKi7wslOVKV1LCG+y87qV9u1+mN1p93TO1j0WVGEATccEYGAOCzLfnQG7w/0fA0FDATPZ/0M4Brvpd9R91IXHigsaNSW4cBiRGBuGSUY5ns84czjfPGY1WoaPRiB0BBkLPMvOOVJzLMgKxjju1vbKRR26zFj7vZpOGmM+001VH7sQYFgKkU4dCvrGNXZDqQ4fpJvsdhTcdctI1dpoxxPHNkzymDT6b6znK8W6gSQVBIahSyDGM77HG4ZUofxIcHIDrEHxeOcLOGvpvJjGGORHlVTnas606MThmH5W3GYr/LXW4Tr9MbkFNUB8Byh7+uMigxHCoBONnQjpM2GkhZYm0by6qP0eQiSdPEJnCA1YAZYMWez13Afh+v/5Mrt5v2Ajq9AUdO2nfIUDIuKxoxoQE40NoLBpUfoGsFDv7EahICwmWnIAf5emshSuvbkBAeiKttyKbOH56MiCA/FNW0evU96y4oYCYIO9w2pTciglhr9Nun9EaAxrGTTEZMCEakRcIgwqjZ9BrDLmMFPhx3ejArGXwhu+wzw7jpm+2sPfHgpHCMduTkailI5HKMEde4X3vty1hzyijmAbMD+mWOrRbZbQ3A7i/Z9fG3OzdGJUYdsyIjXrCJXaZNQHigH5bfNxn/zJ+CiGA/15/HB+A65hOVvpxhlgr/ePe3pkrg2Ap2vQtyjENlTFYTHqhBn1j3W5mGBGjQJ449rrM65q/zw9EkBiJEbJELkENi2WTcBleNSzNq6vkE3xucqGqGVmdAiL8aqb0c60yoVgk4d1gi9FDjpJ80Ed3wGrvsO9OppjStWj3eXs2clO4+q49NXX+Qv9ropf/p5nyHn6OnchqdeQjCNSKC/PD+taPw4Oz+ThcpcVnGz96WZQRGyIVyKo2JXMKt9J0J3LcfmPYYAJYt+Vw6kN5wRuf2xBYxD5hrTgD56wEIXTrJ90isZpidcMjgcJu/xlLm4awk5ytA28gyklnTXBsr0DnDLIqKDDNrXRwZ7I9eLrbB9iW4k8OJniDJ4Bnm/d8zT96kkV2aNO8sqAHA/Jc7NRZyE0OTIwE455RR1dSOzfl12GVg9oI48CO7tJFdVsKP1xuOVcHgJYmBUr/szHvLHV72tEn1B1wW5WSzks8256OqqR0pvYJw2Wj7hfTXjE+HSgDW51bhWIUPr7a4AQqYCcIBxmdF465pfexql805d1gi1CoBe4vrcbzSyweTsf9iFnOp4+xmW7pEZKrx8VccPInS+jZEh/hjngUbPovwoKtsL+tYtfsL9n/vs9hjn04kDgMENdNh8oK8xnLWpQ2CY17UnIAw1sgGYLpijsEAbHufXR/3r655VfMMc9URoL2JTXaaK9j3Lsm5Kn1fh/s7+7SGObovAAForWEdOHMkd4zhV3XpYXcW1gEARnmg4I9j1DFLrc4dYfmBchhEoDhM0uBzSzULBX+WGJEWidAADWqatdhf6mTBoZs46IRDhpKRab2QFBGII3rFcVblZ7kTqhUa2zqwaC3LLt87va9D3RtTo4IxfSAL0j87xbPMFDAThAeJDg3AZMmv8mcvLvMBYEvyd20Frviy255yycZ8AGy501HLLkRlAYGRgL6d6W35Sf50KfZT4h8i+1nzrC3XL8cPBgKdO6labJF97B8W2AZEdD2DHxYPhCezBjZle+TscvIowC/Q9n17GBlSwFzZ2O5THr4m+AczqzWAZVvL97Igqoue5DvzWYbZE/plzlBj4V+9w84Vf+5jjhih/STNrgP6ZSV+ahXO6B0NAFh3tNKJ0boPbinniEOGEpVKwLnZSThmUATMmZPY6qKDLNmYj1qpi+2FIxxvKMSL/5btLPbab6G8vg2P/WCnk2kXoYCZIDzMBSO4W0ap9y2LorK6zZJtf0k9tuXXQKMScI0DDSSMKLvcrXuZZVeDopxeWjxlMPemLlYU/DlLgpR5U+qYt77HLkde26mVuUvw8ZbuAgq5fnl81x/XxwgP9EOM5D+cX+Wj1nKALL1Y+zK77DfbfmdIG5TWtaK0vg1qlYDs1Miuj88KgxLDoVYJqGrSoqzefuFfTbMWm08wqdHw8TPYygwnzMHVLbDukACw7miVcwN2A6IoGiUZjjpkKDl3WCKOiYpAV+GOsa+4Ho8s24vrP96G73cWo63DtIFRXYsWH0p9Bu6f0c9qnwFLnNE7Gn3jQtGs1eP7ncVOj7sr6A0iPt6Qh+n/W4Nf9pR69LkoYCYIDzNzUDyC/dUorGnBLmkp83Tg0035AFhTiPhwJ7OLPGA++he7HHY5oHFvc4Qeg7mOmWeYHfFfNse8RXblEeD4KkBQAWNv7do4OUkKHbOZfvlUw1j458tOGTxgbpZcDLq4irCrkNnJDUwMQ0hAZ7sxdxHopzZ2VHTEj3nFwXLoDSIGJ4UjLSHW1BrRwQwzwHy8AfY6G7o5W1rR2I7qZi1UAtA/wfmGMkOTI6Dr1RtNYiAMggZtWbOxbGcxzn9nI+a9vQHfbC/C2qOVWPDdHkx8cRX+9/cRlEuTkQ/Xn0Bjuw4DEsJwzlDHJCwcQRBwHbeY21zQbfrvvcV1OP+dDXjmt4No1uqNMh5PQQEzQXiYYH8Nzh7MDtg/eVuW0U1UN7XjZ2m2f8PEDOcfwFybezrKMTjJCueJjjagNIf970zBH4dLMioPswYWWyXtcv+5rlnJWYKPN28ta78MwbWx9gCMhX++7JShtJAMimK2gV2A+y97Ur/MMXb8c8CP+Q9JjjGXB3vKSZqDGmaAaXIzY0KgM4jYdKza/h3cCM8uZ8WGOi5hUyAIAmZnZ+A67SO4N+BpTHjnEB74bg/2FNXBTy3g/OFJmD+zH5IiAlHdrMVbq47hzJdW4e6vdhnlc/Nn9nOpkPOiEckIC9Qgr6oZ63I9K2dpbOvA//1yABe8sxH7SxoQHqjBfy8cgi9udiGJ4AQUMBNEN3C+JMv4fV+Zz7Rf9SRfbyuEVmdAdkoERriybMuDLoBlLLnDw+lI7EDW1rq9gXVo07cDwdGuOZ1EpDJNo0HHMtV7vmbbx93mvvEmDmeXLVKwETfolO3M2CMK/5RuGEMvccpizBI8YB7pQf0yh+uY7WWY61q02HiMSSjmDJGyycoVGCcyzICcZfZ04GeOsw1LLDEvOwm7xH74tS4TtS0dSI4MwoOz+2Pzo9PxxhUjcM/0vlj30DS8d/VIjM2Mgs4g4re9ZWjR6pGdEoGZg1zo8glmBXjpKMliTlpd9ASrj1RgxsK1+GRTPgwicMHwJKx8YCquHpfuMccWjufWUwiCMDKxNzOWr2pqx/rcSpw1wLWDUk+gQ2/A51sKAAA3Tsx0rZtbaBwrVqorPL2zywBrAJM0HCjcDGyR9MYpY11zsxAEIH4oULABWP4oa2QTN9jpxgY2CYoEovtI2WWckvplTo8ImJWdILsox2jR6nBAyoKOznBdB+0ow8wK/6wdS1YcPAmdQcSAhDBkcV9o5fcu3HENMwBM7heDTzblY93RSpvP625cdchQ0j8hDP+anIWC6mZcOioV0wbEdWoRr1GrMGdoIuYMTcSB0np8uikfuwvr8H/nDe7Sa71uQjqWbMrD6iOVKKtvdWu3zca2Djz32yEsldpwZ0QH47kLhuJMqai+O6CAmSC6AY1ahXnZiViyMR8/7i49pQPmP/eX42RDO2LDAuTlUVc45zW2rD/8avcNrqeSPIoFzNwOrisShwQpYOZOGeNu65qVnCWSRioC5lNTvwzIkoy8quZuDaycIigSmPMK0NHcZWu/vcX10BtEJIQHIinC864n/RPC4KcWUNfSgeLaVqRGWW7k8ed+MzkGwLLK058EtC1sAu4E47Oi4a9Wobi2FXlVzXIQ7gZEUYQowmI29FCpaw4Z5jw2d6DD+w5OisDLl2R36fk4GTEhGJXWCzsKavH3gZO4XtI1d5WNx6rw0Pd7UVLXCkEAbp6YiQWz+7skW+kKJMkgiG6C2/SsOFiOpnadl0fjOT7ZmAcAuHpcmkM+nlbpOwOY9ezpW+ynRClRAboYMA+Rrwf1AoZe6vpjWUM53lM4w5waFQyVADS161DZ1O7t4Vhn3L+AM+/v8sRor+SJPCItslsmBwEaNQYkhEvPbVmWUd/SgfWSdGLuUDPpxaQHgOlPOP28wf4ajM5gkhN32ctVNbXjndXHcOZLq9H/iT/xwLd7jBZyAMve51WzlYquSDK8zdmSJOYvaRLTFVq0Ojz5835c/dFWlNS1Ii0qGEv/NQH/OXdQtwfLAAXMBNFtDE2OQFZMCNo6DPhrPwuay+vbcKyiEbsLa7E+txKF1T5sT+UAe4vrsKuQFZhcPc4JKznCNsoiSEEtO1G4Am+RDQCjbmBeve6GZ5Wjep/SzWYCNGqkSO2Lfbrwz03knmRuIK44OLiKUcdspfDvvbXH0aFncow+ce4bl9FeLtd1ezlRFLH1RDX+/fVuTHhhJV5ZfgQlda3o0ItYtqsYc95Yj2sXb8Xao5U4VNYIUQRiwwIQG9ZzkwSzpQL3bfk1qGnWuvw45fVtmPPGeny2mcn7rh2fjj/vnYSxmZ6XAlmDJBkE0U0IgoDzhyfjtX+OYsF3e7Dguz2d9gnxV2PtQ9OM/q49Db40evaQxB590Pc5ItNZoV9LNQt4uxLkxg5gjWE6WoHRN7ttiCYkDQeuXOo+5w0fJjMmBIU1Lcirasb4rGhvD8ejHJO6lfaJc59EwR7DkiPwFZiPsDlFNS34eANb0Xpwtuutvi0xuW8sXvzzMDYfr0a7To8AjXMZzV/2lOLtVbk4elK2HMxOjcQ149KQGROCJZvy8ee+MqzPrcL63CpEBLHuqF2VY3ib1KhgDEoMx8GyBvxz6KRD7bUtsWRTHgqqW5AYEYhXLsnuVq2yNSjDTBDdyCWjUxCq8C5VqwREBPkhOTIIYYEaNGv1WLq9yIsj7BqbjjNnBF5lTrgJZTMXV/yXlWgCgJv/Bm5d5dnsb/+zgbgBnnt8H0GpYz6VEUURx6Tgr68bM7n2UHb8M/f3feHPQ9DqDZjUNwZnDXBOp2yPgYlhiA0LQGuHHjvya526b2NbB+YvzcHRk00I8lPjijGp+O3fZ+Lnuybi0tGpGJ0RhXeuGom1D07DjRMzEOKvRn0r83zuyXIMDpdlLO+CLGPFgZMAgMfPGegTwTJAGWaC6FaSI4Ow9bHpaNbqEBbgh0A/lVELuGxnMR74bg++3FKA2yZnOdVpyRdoaOvAPknjOKH3qZ1p8woT7gbaGtzTYCTWvdm40xlj85JTXJJxsqEdje06qFUCMmI8IOOxQr/4MPhrVGhs06GgpsXoTLL1RDX+2FcOlQD855xBbtdUC4KAyX1jsWxXMdYdrcTEPo4HbTlFddAZRCRHBuHP+yYhPNDP4n6pUcF4at5g3DejH77eVoh9xfXGNtM9mbOHJGDhiqNYn1uFpnadSZLIEY5VNOFEVTP81IJPJV961hmZIE4BQgI0iAsLRJC/2uQgf86wRESF+KO0vg3/HKrw4ghdY3teDQwikB4djORI99kJERJZU4CblwMxfb09EkJBZgyTJ+T5crc/N3Csgr2+9Ohgp+UJXcFPrTJmXXnRod4g4pnfDgIArhyb5jFN9eR+LEhe62ThH89Ij8noZTVYVhIR5Ifbp/TGO1ePREI3uI94mr5xociMCYFWb8Dqw86fy/4+yDLTZ/SOQZgD7193QQEzQfgIgX5qXD6GLZF/viXfu4Nxgc2SHOMMyi4TpxGZkiSjsKYFulO4KVFuRSMAoI8bLdYcxejHLOmYl+0qxoHSBoQFaDB/Zj9bd+0Sk/rGQhCAw+WNqGhoc/h+vH34qG5o7uKLCIJgLP5bfsB5WcaKg0yO4WoTFU9BATNB+BBXj0uDSgA2HqvGMekE1VPg+uVTvfCJIJQkhgciQKNCh15EcW2rt4fjMXKlDHPf+O4PmIcmc6eMejS16/DK8iMAgHum90W0Bwuko0L8jc/tqFuG3iBid2EdgO7phuircB3z6sMVaOvQO3y/ioY24/tHATNBEFZJ6RWM6QPZQYLb6fQEapu1OFTOPEVJv0ycTqhUQs/o+NdFuCSjOwv+OMNSIgEAB0rq8c7qY6hsbEdGdLDbGmPYYnJfpqF1VJZx9GQjmtp1CPFXo398979XvsKw5AgkRgSiWas3ti13hBWHWHY5OzUS8eG+JU+hgJkgfIzrJ2QAYEWAjW0d3h2Mg2zNq4YoMu1aXJhvHeQIwtNwp4wTp0HA3J2WcpzesSEI8lOjWavH+2uPA2Dd7LrUGMlBpvRnAfOG3ErozVw6LLGzgMkxhqdF9rjCbXeiUgmYJWWInWliwuUYs3wsuwxQwEwQPsfEPtHIig1Bs1aPH3eXeHs4DsH1y5RdJk5H5AzzqVn4V93UjppmLQQB6O0FDbNGrcLgJFb4ZxBZnUR3LdcPT41EWIAGtS0d2F9iudugkl1SwDwq7fSVY3BmS7KMfw6ddEjf39Suw6Zj7FwyezAFzARB2EEQBFw3nnXJ+2xzAUTRflbD22yigj/iNEZ2yjg1M8xcv5zSKwhB/t3fkhiQ/ZhVAvDEue63kbOGn1qFM/qw45ojbbJ38oK/DO91pPMVxmZEoVewH2pbOrAtv8bu/muPVEKrNyAzJsQrEzN7UMBMED7IxaNSEOKvxrGKJmP21hOIoogNuVW45dMduH9pjktV/pWN7citaIIgAOMyKWAmTj8yT3EvZqMcw4tBDHdduPnMzG7vhjelH2uKwvW11qhsbEdBdQsEgWWmT3c0apVxJcCRJibcTm7WoPhumxA5AwXMBOGDhAX64cKRyQCATzfnO3Xf3/aWYshTyzHvrQ14Z/UxHK/svEzcoTfgp90lOOfNDbhm8Vb8c+gkftxdgiUbnXsuANh8ggX0AxPC0SvE3+n7E0RPhzcvKatvQ4tW5+XRuB9jwZ8Xi9jGZ0Vj/9Oz8djcgd3+3LMGx0MlAHuL61FU02J1P24n1y8uzNjq+nRHtpc72alTo5IOvQGrJM9mX3PH4FDATBA+ynVS8d+KgydRUueYXdUf+8pw7zc5aGrXYV9JPV5ZfgTT/7cWMxeuxf/+PoKcojp8tP4Epr6yBvctzcHBsgYE+amN3ZQWrjjq8HNxSL9MnO70CvFHZDALkPKrrAdUPRWjB7MXCv6UhAZovJJ5jAkNMNpl/r6vzOp+XL98OtvJmTOxTwxC/NUob2jDHqnxjCW2nqhBY5sOMaH+GOGj+m8KmP+/vTsPi7Js+wf+nYUZNhk2YcANSAQRXHEBMU0TNdzyeXLLhezlTROXyiXzeRP75ZI9Wa9Z+qRl/lzCFikrl0gFc0cUcyHEQkEFyW0AUba53j+AOydgRAQGhu/nOO7jaO655p4Tz+bg5Jrzvi6iBqqdazMEeTlBL4Ctxx6+xNzus1mY+cUplOgFRnVtgWWjAtC3XXNYKGRIzc7Dh/suYuRHh/D2j8m4eucenG1VeG1gOxx+vT82hHdHYBsH3CsqQdSOc48U55HfS5cMYv8yNWXmvLScKVfIaCjCOroBKJ2UqMqJy017w5LKWFoo8JRvaUvLbiObmMSWtWMM8HWFQt7w2jGARlQw3759GxMnToRGo4FGo8HEiRNx584do68JDw+HTCYzOHr16lU/ARPVgklBpTf/fXE8A1m6qneaij1/HZFbT6JYL/BslxZ495+dMK5Ha2yc0gMn/jUQ74/phFA/V1hayOHV3AZLnw3Awfn9MWOANxxsVJDLZVg6KgBKuQyx56/jp2ruznTtzj1cupkPuQzo7smbXKjp8jLTLbJ194pwPacAQNMumAd10EptGek3K36LUFBcIu1EyILZUPkmJnvOZlV6E7sQ4q/l5Brg6hjlGk3BPH78eCQlJWH37t3YvXs3kpKSMHHixIe+bvDgwcjMzJSOnTt31kO0RLVjoJ8r3DSWuHW3EH1W7MOcr07jwnXDHQD3/XYdL29JRLFeYHgnd/z7uU4Gf6FrrCzwbJeW+GRSIJLfGox9r/XD+J6tYWlheLd7O9dmiHjSCwAQteMc7hY8vBezvB0joKU97CzZs0dNl7muxVw+u6y1s2zSn3FnW7XUdlZZW8bZqzkoLNHD0UYFDyfr+g6vQevn4wKVUo5LN/Px6cG0Cr3M567l4JruPqwsFOjd1tlEUT5coyiYk5OTsXv3bqxfvx5BQUEICgrCunXr8MMPPyAlJcXoa9VqNbRarXQ4OnIWjBoPpUKOdZMC0cPDEUUlAl8nXkHo+wcQvuE4Dv9+A/tTsjF100kUlQiEBbhh5ehORr/Oelj/38z+3mjlaIVruvt4P/bCQ+Mrv+EviNthUxNnritl/G7CLbEbmrAAdwCVt2VI/cutHRrkCg+mZKtWYmz3VgCAt39MxsTPjuHaA/fKlH+j2bdd8woTOQ1JoyiYjxw5Ao1Gg549e0rnevXqBY1Gg8OHDxt9bVxcHFxcXNCuXTtEREQgOzvb6PiCggLk5OQYHESm5N9Cgy+nBiHm5WAM8ddCJgPiUv7E+HXH8MKGBBSW6DG4gxYfjO382DtLWakUeGuEPwBgw+FLOHet6oX6hRDSDDP7l6mp+6tgzmsUa6dXV/kNfw1xXdz6NqhDaX/tmas6XL5p+IdRIvuXjVo8vAP+34gOsLSQ49DFmxj0wQFsP3kFQgj81AjaMYBGUjBnZWXBxcWlwnkXFxdkZVXdazlkyBBs2bIF+/btw3vvvYeEhAT0798fBQUFVb5m2bJlUp+0RqNBq1atauVnIHpcXVo7YM2Ebtj/Wj9M6NUa6rJtYQf6uWLVuC6wqKVtWJ/ycUFYgBtK9AJvxJytcjvYjFv3cPXOPVgoZAj04C8Jato8nEoL5pz7xbid3zi2tK+OVM4wS5xs1dK3aQ+2ZQgh/tqwhAVzpWQyGSYGeWDnzD7o3MoeufeL8eqXpxG+IQG/ZeVCIZehv2/FOq8hMWnBHBUVVeGmvL8fJ06cAFD5V8lCCKNffYwZMwZhYWHw9/fHsGHDsGvXLly4cAE//vhjla9ZsGABdDqddGRkZDz+D0pUizycbfD2yAAcfr0/Pn+hOz5+vitUytr9KL85zA/N1EqczriDrcfTKx1zuGx1jM6t7GGtUtbq+xM1NlYqBdw1lgDM68Y/aQ1mF9OtwdyQVLZaxpXb9/BnbgEsFDJ0LNuRkCrn1dwWX08NwpzQdlDKZYgv2z2xh4cj7K0b9jr+Ji2YIyMjkZycbPTw9/eHVqvF9esVd9j5888/4epa/Sl8Nzc3tGnTBqmpqVWOUavVsLOzMziIGiInWzX6+bjU2szyg1ztLDFnkA8AYMWu3/Djr5kVbtSQ+pefaLg3aRDVJ6+ytgVz6WPOLyzGldulvaZNeYWMBw3qoIVCLsPZqzm4VHaDZ3k7Rgd3TYPuwW0olAo5Ivt749vpveFd9v/V8M7uJo7q4Uw6LeTs7Axn54f/sg0KCoJOp8Px48fRo0cPAMCxY8eg0+kQHBxc7fe7efMmMjIy4ObmVuOYiZqKCb3a4NukqziVfgfTt56En5sd5g7yQT+f0k1ODv/OG/6IHuTpbIODF2+YzUoZv2eX/hxONio4chdPAICjjQrBTzjhl9Qb+PFMJqY/1Zb9yzXk30KDH2aGIPV6HvzqebvzmmgUPczt27fH4MGDERERgaNHj+Lo0aOIiIjA0KFD4ePjI43z9fVFTEwMACAvLw9z5szBkSNHcOnSJcTFxWHYsGFwdnbGs88+a6ofhajRUMhl2PRiT7zydDvYqpU4n5mDFz5PwHNrj+DLExn4M7cAaqUcXVrbmzpUogZB2rzETGaYL/7ZMHb4a2jCAgzbMlgw15xaqYB/Cw3kDXSzkgc1ioIZALZs2YKAgACEhoYiNDQUHTt2xKZNmwzGpKSkQKcrvatfoVDgzJkzGDFiBNq1a4fJkyejXbt2OHLkCJo1Yy8WUXXYqpWY9bQ3fpn3FF560gtqpRwnLt/G/G/OACj9BcGvIIlKeZatxXwy/Tb+zK365vLGIvU6d/irTHlbxrlrOTh7VYffskpX02LBbN4azZ06jo6O2Lx5s9ExDy7lY2VlhT179tR1WERNgoONCgueaY8pIZ74cF8qoo9noFgvpPYMIgK6ezjCTWOJTN19jFt3FF9E9ELzZmpTh1Vj0goZLJgNODzQlrF0ZzL0AmhhbwVXO0tTh0Z1qNHMMBOR6bnaWeLtkQHY91o/rBrXBVN6e5o6JKIGw1atxBcRvaC1s8TF7DyMW3e0Uc80SytkuPJb2b8bWrZaRvm9HJxdNn8smInokbV2ssbwTu6PvVEKkbnxcLZB9H83/qK5oLhE2pyDLRkVhfppoXyg75YFs/njbzsiIqJaZA5Fc9qNu9ALoJmlEi6NuK2krjjYqBDc9q9Vvlgwmz8WzERERLWssRfN5Tf8ebvYGt0grCkbWrZahpWFAr5atq2YOxbMREREdeDvRfOE9cdQVKI3dVjVwh3+Hm5oJzcM6uCKVwe2Y3taE8AMExER1ZHyotnRRoWU67kGWyo3ZOUFM/uXq2atUuI/EwMR8aSXqUOhesCCmYiIqA55ONsgPNgDAPDpwTSDJVAbqtTssk1LXFkwEwEsmImIiOrc8z1bQ6WU49crOmlnuNp27c495N4veuzrFJfokVa2vTfXYCYqxYKZiIiojjnZqvFs5xYASmeZa5NeL/C/P6ciePk+jF93DHr9481gX76Vj6ISASsLBdw1VrUUJVHjxoKZiIioHkwJKd3oZ8+5LGTcyq+Va+YXFiPyi5N4/+cLAIAzV3WIu5D9WNd8cEtsuZwrZBABLJiJiIjqhY+2GULaOkMvgI2HLz329a7czsc/1hzBzjNZsFDIEFi2FvC6A483g32xrH+Z7RhEf2HBTEREVE9eLJtl3paQgbyC4hpfJ+HSLYxYfQjJmTlwtlXhi4he+N9xXaCQy3Dkj5s4e1VXo+smXr6F/8T/AQDwc7ercXxE5oYFMxERUT3p2645vJrbILegGF+dyKjRNaKPp2P8uqO4ebcQfm52+C4yBIEejmhhb4Wwss00atInffjiDUz89DhyC4rR3cMB43q0rlF8ROaIBTMREVE9kctleKF36SzzhkOXUPKIN+jFnLqC17efQVGJQFiAG76eFoQW9n/dmPdffUqv/f3pa8jS3a/2dff9dh3hnycgv7AEfbydsXFKD9iolY8UG5E5Y8FMRERUj/7RtQU0VhZIv5WPvcnXq/063b0iLPkxGQAQ0ccTq8d3gbXKsKjt2NIePTwdUawX+LyafdI7z2TipU2JKCzWY6CfK9ZPDqxwXaKmjgUzERFRPbJWKaV2h0dpnXg/9gJu5BXiieY2mDvIFzJZ5StYRPQp3Xlu67HLuPuQPulvEq8gcutJFJUIDOvkjo+f7wq1UlHtmIiaChbMRERE9WxycBso5DIcS7tVrRv0kjNz8P+PXAIALB7uD5Wy6l/fA3xd4Olsg5z7xvukNx25hNe+Og29AEYHtsQHYzrDQsGygKgy/GQQERHVMzeNFZ4pu0Hvs0PGZ5mFEFj03TnoBfBMgBYh3s5Gx8vlMmnN588q6ZMu0Qu8/cN5/M935wAA4cEeWD6qIxRcc5moSiyYiYiITKB8ibnvT1/D+Ws5VY77Lukajl+6BSsLBRaG+VXr2v/s2hL21qV90rHns6TzdwuK8dKmRKwvawV5bWA7LBrmxw1KiB6CBTMREZEJdG5ljyAvJxSVCPxz7WHsPptVYUzu/SIs2Vl6o19k/7YGK2IYY6VSYELPNgCA9b+UFsdZuvsY/Z8j+Dn5OlRKOT4c1wUzBnhX2QtNRH9hwUxERGQiayZ0Re+2TsgvLMHUzYlYtTcVQvzVQrFqbyr+zC2Ah5O1tGRcdU0KagOVQo4Tl29jy7HLGPnRIZy7lgMnm9KNToZ1cq/tH4fIbLFgJiIiMhF7axU2vtAD4cEeAICVsRcQufUU8guLkXo9FxsOXQIALBre4ZFXr3Cxs8TwzqVF8cKYs8jKuY+2Lrb4dnpvdCvbRpuIqocLLRIREZmQUiFH1PAO8NU2w/98dxY/nslE2o27sFYpUKwXeLq9K57ycanRtV8M8cTXiVcAAH28nbF6fFdorCxqM3yiJoEFMxERUQMwtkdrPOFii6mbEnE+s/QmQLVSjkXDqnejX2Xau9lhxT86QnevCOG9PbhsHFEN8ZNDRETUQHT3cMSOGSHwc7MDAMzo3xatHK0f65qju7dCxJNeLJaJHgNnmImIiBqQFvZWiJkejN+z76K9WzNTh0NEYMFMRETU4KiVCvi525k6DCIqw+9niIiIiIiMYMFMRERERGQEC2YiIiIiIiNYMBMRERERGcGCmYiIiIjICBbMRERERERGsGAmIiIiIjKCBTMRERERkREsmImIiIiIjGDBTERERERkBAtmIiIiIiIjWDATERERERnBgpmIiIiIyAgWzERERERERjSagnnJkiUIDg6GtbU17O3tq/UaIQSioqLg7u4OKysr9OvXD+fOnavbQImIiIjIrDSagrmwsBDPPfccpk2bVu3XrFixAitXrsTq1auRkJAArVaLgQMHIjc3tw4jJSIiIiJz0mgK5sWLF+OVV15BQEBAtcYLIfDBBx9g4cKFGDVqFPz9/bFx40bk5+dj69atdRwtEREREZmLRlMwP6q0tDRkZWUhNDRUOqdWq9G3b18cPny4ytcVFBQgJyfH4CAiIiKipstsC+asrCwAgKurq8F5V1dX6bnKLFu2DBqNRjpatWpVp3ESERERUcNm0oI5KioKMpnM6HHixInHeg+ZTGbwWAhR4dyDFixYAJ1OJx0ZGRmP9f5ERERE1LgpTfnmkZGRGDt2rNExHh4eNbq2VqsFUDrT7ObmJp3Pzs6uMOv8ILVaDbVaXaP3JCIiIiLzY9KC2dnZGc7OznVybU9PT2i1WsTGxqJLly4ASlfaiI+PxzvvvFMn70lERERE5qfR9DCnp6cjKSkJ6enpKCkpQVJSEpKSkpCXlyeN8fX1RUxMDIDSVozZs2dj6dKliImJwdmzZxEeHg5ra2uMHz/eVD8GERERETUyJp1hfhRvvvkmNm7cKD0unzXev38/+vXrBwBISUmBTqeTxsybNw/37t3Dyy+/jNu3b6Nnz5746aef0KxZs3qNnYiIiIgaL5kQQpg6iIYsJycHGo0GOp0OdnZ2pg6HiIiIiP6mruu1RtOSQURERERkCiyYiYiIiIiMYMFMRERERGQEC2YiIiIiIiNYMBMRERERGcGCmYiIiIjICBbMRERERERGsGAmIiIiIjKCBTMRERERkREsmImIiIiIjGDBTERERERkhNLUATR0QggApXuUExEREVHDU16nlddttY0F80PcvHkTANCqVSsTR0JERERExty8eRMajabWr8uC+SEcHR0BAOnp6XWSAGpYcnJy0KpVK2RkZMDOzs7U4VAdY76bFua7aWG+mxadTofWrVtLdVttY8H8EHJ5aZu3RqPhB64JsbOzY76bEOa7aWG+mxbmu2kpr9tq/bp1clUiIiIiIjPBgpmIiIiIyAgWzA+hVquxaNEiqNVqU4dC9YD5blqY76aF+W5amO+mpa7zLRN1tf4GEREREZEZ4AwzEREREZERLJiJiIiIiIxgwUxEREREZAQLZiIiIiIiI1gwG/Hxxx/D09MTlpaW6NatG3755RdTh0S1YNmyZejevTuaNWsGFxcXjBw5EikpKQZjhBCIioqCu7s7rKys0K9fP5w7d85EEVNtWrZsGWQyGWbPni2dY77Ny9WrVzFhwgQ4OTnB2toanTt3RmJiovQ8820+iouL8a9//Quenp6wsrKCl5cX3nrrLej1emkM8914HThwAMOGDYO7uztkMhm+/fZbg+erk9uCggLMmDEDzs7OsLGxwfDhw3HlypVHjoUFcxW2bduG2bNnY+HChTh16hT69OmDIUOGID093dSh0WOKj4/H9OnTcfToUcTGxqK4uBihoaG4e/euNGbFihVYuXIlVq9ejYSEBGi1WgwcOBC5ubkmjJweV0JCAj755BN07NjR4DzzbT5u376N3r17w8LCArt27cL58+fx3nvvwd7eXhrDfJuPd955B2vXrsXq1auRnJyMFStW4N1338WHH34ojWG+G6+7d++iU6dOWL16daXPVye3s2fPRkxMDKKjo3Hw4EHk5eVh6NChKCkpebRgBFWqR48eYurUqQbnfH19xeuvv26iiKiuZGdnCwAiPj5eCCGEXq8XWq1WLF++XBpz//59odFoxNq1a00VJj2m3Nxc4e3tLWJjY0Xfvn3FrFmzhBDMt7mZP3++CAkJqfJ55tu8hIWFiSlTphicGzVqlJgwYYIQgvk2JwBETEyM9Lg6ub1z546wsLAQ0dHR0pirV68KuVwudu/e/UjvzxnmShQWFiIxMRGhoaEG50NDQ3H48GETRUV1RafTAQAcHR0BAGlpacjKyjLIv1qtRt++fZn/Rmz69OkICwvD008/bXCe+TYvO3bsQGBgIJ577jm4uLigS5cuWLdunfQ8821eQkJCsHfvXly4cAEAcPr0aRw8eBDPPPMMAObbnFUnt4mJiSgqKjIY4+7uDn9//0fOv7J2wjYvN27cQElJCVxdXQ3Ou7q6Iisry0RRUV0QQuDVV19FSEgI/P39AUDKcWX5v3z5cr3HSI8vOjoaJ0+eREJCQoXnmG/z8scff2DNmjV49dVX8cYbb+D48eOYOXMm1Go1Jk2axHybmfnz50On08HX1xcKhQIlJSVYsmQJxo0bB4Cfb3NWndxmZWVBpVLBwcGhwphHredYMBshk8kMHgshKpyjxi0yMhK//vorDh48WOE55t88ZGRkYNasWfjpp59gaWlZ5Tjm2zzo9XoEBgZi6dKlAIAuXbrg3LlzWLNmDSZNmiSNY77Nw7Zt27B582Zs3boVHTp0QFJSEmbPng13d3dMnjxZGsd8m6+a5LYm+WdLRiWcnZ2hUCgq/PWRnZ1d4S8ZarxmzJiBHTt2YP/+/WjZsqV0XqvVAgDzbyYSExORnZ2Nbt26QalUQqlUIj4+HqtWrYJSqZRyynybBzc3N/j5+Rmca9++vXTDNj/f5mXu3Ll4/fXXMXbsWAQEBGDixIl45ZVXsGzZMgDMtzmrTm61Wi0KCwtx+/btKsdUFwvmSqhUKnTr1g2xsbEG52NjYxEcHGyiqKi2CCEQGRmJ7du3Y9++ffD09DR43tPTE1qt1iD/hYWFiI+PZ/4boQEDBuDMmTNISkqSjsDAQDz//PNISkqCl5cX821GevfuXWGZyAsXLqBNmzYA+Pk2N/n5+ZDLDUsZhUIhLSvHfJuv6uS2W7dusLCwMBiTmZmJs2fPPnr+a3SrYhMQHR0tLCwsxKeffirOnz8vZs+eLWxsbMSlS5dMHRo9pmnTpgmNRiPi4uJEZmamdOTn50tjli9fLjQajdi+fbs4c+aMGDdunHBzcxM5OTkmjJxqy4OrZAjBfJuT48ePC6VSKZYsWSJSU1PFli1bhLW1tdi8ebM0hvk2H5MnTxYtWrQQP/zwg0hLSxPbt28Xzs7OYt68edIY5rvxys3NFadOnRKnTp0SAMTKlSvFqVOnxOXLl4UQ1cvt1KlTRcuWLcXPP/8sTp48Kfr37y86deokiouLHykWFsxGfPTRR6JNmzZCpVKJrl27SsuOUeMGoNJjw4YN0hi9Xi8WLVoktFqtUKvV4sknnxRnzpwxXdBUq/5eMDPf5uX7778X/v7+Qq1WC19fX/HJJ58YPM98m4+cnBwxa9Ys0bp1a2FpaSm8vLzEwoULRUFBgTSG+W689u/fX+nv68mTJwshqpfbe/fuicjISOHo6CisrKzE0KFDRXp6+iPHIhNCiBrPhxMRERERmTn2MBMRERERGcGCmYiIiIjICBbMRERERERGsGAmIiIiIjKCBTMRERERkREsmImIiIiIjGDBTERERERkBAtmIiIiIiIjWDATEZlYVFQUOnfubOowqiUuLg4ymQx37twxdShERPWGO/0REdUhmUxm9PnJkydj9erVKCgogJOTUz1FVXOFhYW4desWXF1dH/qzlQsPD8edO3fw7bff1m1wRER1RGnqAIiIzFlmZqb039u2bcObb76JlJQU6ZyVlRVsbW1ha2trivAemUqlglarNXUYRET1ii0ZRER1SKvVSodGo4FMJqtw7u8tGeHh4Rg5ciSWLl0KV1dX2NvbY/HixSguLsbcuXPh6OiIli1b4rPPPjN4r6tXr2LMmDFwcHCAk5MTRowYgUuXLlW47uLFi+Hi4gI7Ozu89NJLKCwslMYUFBRg5syZcHFxgaWlJUJCQpCQkCA9//eWjM8//xz29vbYs2cP2rdvD1tbWwwePFj6QyEqKgobN27Ed999B5lMBplMhri4OBQWFiIyMhJubm6wtLSEh4cHli1bVvsJICKqBSyYiYgaoH379uHatWs4cOAAVq5ciaioKAwdOhQODg44duwYpk6diqlTpyIjIwMAkJ+fj6eeegq2trY4cOAADh48KBWvDxbEe/fuRXJyMvbv348vvvgCMTExWLx4sfT8vHnz8M0332Djxo04efIk2rZti0GDBuHWrVtVxpqfn49///vf2LRpEw4cOID09HTMmTMHADBnzhyMHj1aKqIzMzMRHByMVatWYceOHfjyyy+RkpKCzZs3w8PDo27+MYmIHhMLZiKiBsjR0RGrVq2Cj48PpkyZAh8fH+Tn5+ONN96At7c3FixYAJVKhUOHDgEAoqOjIZfLsX79egQEBKB9+/bYsGED0tPTERcXJ11XpVLhs88+Q4cOHRAWFoa33noLq1atgl6vx927d7FmzRq8++67GDJkCPz8/LBu3TpYWVnh008/rTLWoqIirF27FoGBgejatSsiIyOxd+9eAICtrS2srKygVqulWXWVSoX09HR4e3sjJCQEbdq0QUhICMaNG1en/6ZERDXFHmYiogaoQ4cOkMv/mtNwdXWFv7+/9FihUMDJyQnZ2dkAgMTERFy8eBHNmjUzuM79+/fx+++/S487deoEa2tr6XFQUBDy8vKQkZEBnU6HoqIi9O7dW3rewsICPXr0QHJycpWxWltb44knnpAeu7m5SXFVJTw8HAMHDoSPjw8GDx6MoUOHIjQ01OhriIhMhQUzEVEDZGFhYfBYJpNVek6v1wMA9Ho9unXrhi1btlS4VvPmzR/6fjKZDOWLJv199QshhNEVMSqL62ELMHXt2hVpaWnYtWsXfv75Z4wePRpPP/00vv7664fGSkRU39iSQURkBrp27YrU1FS4uLigbdu2BodGo5HGnT59Gvfu3ZMeHz16FLa2tmjZsiXatm0LlUqFgwcPSs8XFRXhxIkTaN++fY1jU6lUKCkpqXDezs4OY8aMwbp167Bt2zZ88803RnuliYhMhQUzEZEZeP755+Hs7IwRI0bgl19+QVpaGuLj4zFr1ixcuXJFGldYWIgXX3wR58+fx65du7Bo0SJERkZCLpfDxsYG06ZNw9y5c7F7926cP38eERERyM/Px4svvljj2Dw8PPDrr78iJSUFN27cQFFREd5//31ER0fjt99+w4ULF/DVV19Bq9XC3t6+Fv41iIhqF1syiIjMgLW1NQ4cOID58+dj1KhRyM3NRYsWLTBgwADY2dlJ4wYMGABvb288+eSTKCgowNixYxEVFSU9v3z5cuj1ekycOBG5ubkIDAzEnj174ODgUOPYIiIiEBcXh8DAQOTl5WH//v2wtbXFO++8g9TUVCgUCnTv3h07d+406NsmImoouNMfEVETwR33iIhqhn/KExEREREZwYKZiIiIiMgItmQQERERERnBGWYiIiIiIiNYMBMRERERGcGCmYiIiIjICBbMRERERERGsGAmIiIiIjKCBTMRERERkREsmImIiIiIjGDBTERERERkxP8Bv2lUskRN+8cAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "TRUE_LAG_NONLINEAR = 50\n", "x_nonlinear, y_nonlinear = generate_nonlinear_data(true_lag=TRUE_LAG_NONLINEAR)\n", "plot_data(x_nonlinear,y_nonlinear, 'Non-Linear Data')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.1. **Linear Sanity Check: Failure!**\n", "\n", "When we apply cross-correlation to this data, it fails completely. The plot shows no clear peak, as the linear method is blind to the `X^2` relationship." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cross_correlation(x_nonlinear, y_nonlinear, TRUE_LAG_NONLINEAR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.2. **MI Application: Success!**\n", "\n", "Our MI tool, however, is not limited by linearity. It correctly identifies the lag by capturing the underlying statistical dependency, whatever its form." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2025-10-19 23:56:00 - neural_mi - WARNING - `processor_type` is deprecated. Use `processor_type_x` and `processor_type_y` instead.\n", "2025-10-19 23:56:00 - neural_mi - WARNING - `processor_params` is deprecated. Use `processor_params_x` and `processor_params_y` instead.\n", "2025-10-19 23:56:00 - neural_mi - INFO - Detected sweep over processor or lag parameters. Deferring data processing to workers.\n", "2025-10-19 23:56:00 - neural_mi - INFO - Preparing 21 tasks for lag analysis.\n", "2025-10-19 23:56:00 - neural_mi - INFO - Starting parameter sweep with 4 workers...\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "0df1a0c1f4be4f538af8b10b55389fc8", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Parameter Sweep Progress: 0%| | 0/21 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_nonlinear_lag = nmi.run(\n", " x_data=x_nonlinear,\n", " y_data=y_nonlinear,\n", " mode='lag',\n", " processor_type='continuous',\n", " processor_params={'window_size': 1},\n", " base_params=BASE_PARAMS,\n", " lag_range=range(0, 101, 5),\n", " n_workers=4,\n", ")\n", "\n", "ax = results_nonlinear_lag.plot(show=False)\n", "ax.axvline(TRUE_LAG_NONLINEAR, color='r', linestyle='--', label=f'True Lag ({TRUE_LAG_NONLINEAR})')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Lesson**: Mutual Information is essential for uncovering nonlinear relationships that linear methods miss entirely." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. A New Dimension - Finding a Nonlinear History\n", "\n", "Now we introduce the second fundamental question: \"For how long?\" We'll create data where `Y(t)` depends on the **history** of `X` over a recent window. To isolate this effect, we will set the true lag to zero." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "HISTORY_DURATION = 20\n", "x_history, y_history = generate_history_data(history_duration=HISTORY_DURATION)\n", "plot_data(x_history, y_history, 'Non-Linear with History', 300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.1. **Linear Check**\n", "\n", "A linear method would fail here because of the nonlinear `tanh` function. It can show the beginning of the `history` but then saturates and decays, probably becayse of the linearity portion of `tanh`. However, this is not enough to detect the correct `window_size`." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cross_correlation(x_history, y_history, HISTORY_DURATION)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.2. **MI Application: Sweeping Window Size**\n", "\n", "We use `mode='sweep'` to test different values for `window_size`. As long as the window size is not enough to capture the history, we will get `MI~0`, once we pass the critical `window_size` that corresponds to the ture history of the data, `MI>0` and will keep increasing as bigger `window_size` can span multiple histories. The resulting plot clearly shows the MI as zero and then starting to increase right around the true `history_duration`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2025-10-19 23:56:27 - neural_mi - WARNING - `processor_type` is deprecated. Use `processor_type_x` and `processor_type_y` instead.\n", "2025-10-19 23:56:27 - neural_mi - WARNING - `processor_params` is deprecated. Use `processor_params_x` and `processor_params_y` instead.\n", "2025-10-19 23:56:27 - neural_mi - INFO - Detected sweep over processor or lag parameters. Deferring data processing to workers.\n", "2025-10-19 23:56:27 - neural_mi - INFO - Starting parameter sweep with 4 workers...\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "3b5031a3b6ed453b8b598cf7f68972e9", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Parameter Sweep Progress: 0%| | 0/10 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = results_history.plot(show=False)\n", "ax.axvline(HISTORY_DURATION, color='r', linestyle='--', label=f'True Duration ({HISTORY_DURATION})')\n", "ax.set_xlabel('Window Size (Timepoints)')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Lesson**: MI can determine the optimal *timescale* or *integration window* of a neural interaction, a task that has no simple linear equivalent." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. The Full Picture - Agnostic Search for Lag & History\n", "\n", "Now we combine both problems and try to solve. As we will see, when we have a combination of `lag`+`history`, we can't really disentangle them from one another --unless one of them is very large or small compared to the other one--. However, we will show how we can use our toolbox to get to the correct region and have some good herustics to infer the correct values. Our data will have both a lag and a history component from **2** and **3**." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "TRUE_LAG_FULL = 30\n", "HISTORY_DURATION_FULL = 20\n", "x_full, y_full = generate_full_data(true_lag=TRUE_LAG_FULL, history_duration=HISTORY_DURATION_FULL)\n", "plot_data(x_full, y_full, 'Non-Linear Lag + History', 200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.1. **Linear Check**\n", "\n", "Along the same lines of **3.1**, we see a more noisy cross correlation plot, where we see a peak around the *effective* time (lag+history). Again, it's not easy to detect/disentangle. We can see that the detected lag doesn't align with any of `lag` or `history`." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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CLIQQQgghyhVJgIUQQgghRLlS7ibBmUwmLl26hJeXV76XRhVCCCGEECVHURSuXbtGSEhIsSwoU+4S4EuXLhEWFmbvMIQQQgghxF1cuHAh1wqWtlDuEmAvLy/AfEO9vb3tHI0QQgghhLhVamoqYWFhlrzN1spdApxT9uDt7S0JsBBCiKLLyIAWLczbu3aBu7t94ykjMvWZ9PmxDwC/P/o7blo3O0ck7KG4ylXLXQIshBBC2JSiwNGjN7aFTZgUE/+d/c+yLYQtSQIshBBCFIWrK6xbd2Nb2ISLkwvf9fvOsi2ELZW7leBSU1Px8fEhJSVFSiCEEEIIIRxQcedrMgKcB0VRMBgMGI1Ge4ciyiitVotGo7F3GEIIIUS5JAnwLXQ6HZcvXyYjI8PeoYgyTKVSUblyZTw9Pe0dihCiqPR6WLDAvP3006DV2jeeMsJoMrL38l4AmlZqikYtgwbCdqQE4iYmk4lTp06h0WgICAjA2dlZFssQNqcoCvHx8WRkZFCzZk0ZCRaitEtPh5xfZtPSwMPDvvGUEem6dDxnmO9r2qQ0PJzlvpYnUgJRgnQ6HSaTibCwMNyljY0oRgEBAZw7dw69Xi8JsBBC5EGlUhHuE27ZFsKWJAHOQ3EsuSfEzeQfcyGEuDN3rTvnxp2zdxiijJJMTwghhBBClCuSAAshhBDCIWXoDBy+mEI5m64kSoAkwKLM+Oqrr+jevbvNz9uiRQuWL19u8/MKIYS4vQtJKYTP7EzLz+/jvX8OWT33854YOsxcy9TfjxCXmmWnCEVpJglwGaBSqe74GDp0aInFMnToUPr27Vti18uRnZ3NG2+8weuvv27Zt3z5cpo3b46vry8eHh40btyYb7/9Ntdr586dS0REBK6urjRr1oxNmzZZPf/6668zceJETCZZilMIIUpCcoaOYYu3k2DcQqZmO3PXn2LxligAvt1+nhd/OsCFxEwWbz1Hh5nreHPlUWJTJBEW+ScJcBlw+fJly2POnDl4e3tb7fvoo4+sjtfr9XaKtPj88ssveHp60qFDB8u+ChUqMHnyZLZt28bBgwcZNmwYw4YN459//rEcs3TpUsaNG8fkyZPZt28fHTp0oGfPnkRHR1uOuf/++0lJSbF6nRBCiOJxLUvPkIU7OXUli3D1eB4Im4oKJ6auPMq4H/fx+q+HAXioaWWaVvEl22Bi4ZYo2r+3lmeX7GPP+SQpmRB3JQlwfqWnF/xhMNx4vcFg3peZmb/zFkBwcLDl4ePjg0qlsvyclZWFr68vy5Yto3Pnzri6uvLdd98xdepUGjdubHWeOXPmULVqVat9ixYtok6dOri6ulK7dm3mzp1boNhuNXv2bBo0aICHhwdhYWGMHj2atLQ0q2O++OILSyu6fv36MXv2bHx9fe943h9//JE+ffpY7evcuTP9+vWjTp06VK9eneeff56GDRuyefNmq3iGDx/OU089RZ06dZgzZw5hYWHMmzfPcoxGo6FXr14sWbKkSO9dCCHE3Y1fup8DMSlU9HBn9dPT+H3YGwxtUx2AX/dfAmBU5+p8MKAhv4xqy9dPtqRl1QoYTAorD1zioXlbefnng5IEizuSBDi/PD0L/lix4sbrV6ww7+vZ0/q8Vavm/Vobe+WVV3juuec4duwYPXr0yNdrvvjiCyZPnsz06dM5duwY77zzDq+//jpff/11oeNQq9V8/PHHHD58mK+//pq1a9fy8ssvW57fsmULI0eO5Pnnn2f//v1069aN6dOn3/W8mzZtonnz5rd9XlEU1qxZw4kTJ+jYsSNg7vu8Z8+eXHXD3bt3Z+vWrVb7WrZsmas0QgghhG0diknhv2NxaNQqvnmyJTWDvFCpVEzpXY/+TUJRqWDcvTV5uUctS5lfp8gAlo1swx/PtufhZpXRqFX8tCeGD/87ZTlvWraBmX8f59vt5yUxFoD0AS43xo0bR//+/Qv0mrfeeotZs2ZZXhcREcHRo0f5/PPPGTJkSKHjyBEREcFbb73FqFGjLCPLn3zyCT179uTFF18EIDIykq1bt/LHH3/c9pzJyckkJycTEhKS67mUlBRCQ0PJzs5Go9Ewd+5cunXrBkBCQgJGo5GgoCCr1wQFBREbG2u1LzQ0lOjoaEwmk/SJFkKIYjJ/4xkA+jQKoW6IF0fijgBQJ6AOsx9pzNQH6+HtmvdS0/VDffhgQCOah/sxcfkhPl5zivAK7tQI9OS5H/dx/moGADGJGUzsWVv6sZdzkgDn1y1f0+eLi8uN7X79zOe4NXk6d65IYeXXnUZH8xIfH8+FCxcYPnw4I0aMsOw3GAz4+PgUOo5169bxzjvvcPToUVJTUzEYDGRlZZGeno6HhwcnTpygX79+Vq9p2bLlHRPgzOtlJa6urrme8/LyYv/+/aSlpbFmzRomTJhAtWrV6Ny5s+WYW/8RVBQl1z43NzdMJhPZ2dm4ubkV9G0LIYS4i/NX0/nr0GUAnulUjUx9JvXn1QduLIV8u+T3Zo+2rML5xAzmrT/DxOUHURQwmBT8PZ1JSNPx+cazZBtMTOldV5LgckwS4Pwq6truTk7mh63Pm08et1xHrVbn+hro5slxOR0PvvjiC1q1amV1XGGX7j1//jy9evVi5MiRvPXWW1SoUIHNmzczfPhwy7XzSj7v9nVVxYoVUalUJCUl5XpOrVZTo0YNABo3bsyxY8eYMWMGnTt3xt/fH41Gk2u0Ny4uLteocGJiIu7u7pL8CiHy5u9v7whKvS82ncWkQOdaAdQO9iZdl46/e+Hu60vdaxF9NYM/ryfU9zeoxDv9G/DnwctM/vUQi7eew2Ay8XbfBrZ8C6IUkQS4nAoICCA2NtYq4dy/f7/l+aCgIEJDQzl79iyPP/64Ta65e/duDAYDs2bNspQRLFu2zOqY2rVrs3PnzlyvuxNnZ2fq1q3L0aNH79oHWFEUsrOzLa9r1qwZq1evthp1Xr16NQ8++KDV6w4fPkzTpk3v/AaFEOWThwfEx9s7ilItIS2bn3bHADCyk3nCm4ezB/EvFe6+qtUqZg1sRPUAD6oHetKnUQgqlYpBrarg7KTm5Z8P8N32aDpFBtKtbtDdTyjKHEmAy6nOnTsTHx/PzJkzefjhh/n777/566+/8Pb2thwzdepUnnvuOby9venZsyfZ2dns3r2bpKQkJkyYcNtzp6SkWCXTYG5JVr16dQwGA5988gm9e/dmy5YtzJ8/3+q4Z599lo4dOzJ79mx69+7N2rVr+euvv+76NVWPHj3YvHmzVY3xjBkzaN68OdWrV0en07Fq1Sq++eYbqw4PEyZMYPDgwTRv3pw2bdqwYMECoqOjGTlypNX5N23aVCyLbAghhIDFW86RbTDROMyXVhEVbHJOV62GCd1r5dr/cLPKnIlPY976M0z9/QjtalTE3VnSoXJHKWdSUlIUQElJScn1XGZmpnL06FElMzPTDpHZxqJFixQfHx/Lz1FRUQqg7Nu3L9ex8+bNU8LCwhQPDw/liSeeUKZPn66Eh4dbHfP9998rjRs3VpydnRU/Pz+lY8eOyvLly297/SFDhihArseQIUMURVGU2bNnK5UqVVLc3NyUHj16KN98840CKElJSZZzLFiwQAkNDVXc3NyUvn37Km+//bYSHBx8x/d97Ngxxc3NTUlOTrbsmzx5slKjRg3F1dVV8fPzU9q0aaP8+OOPuV772WefKeHh4Yqzs7PStGlTZcOGDVbPx8TEKFqtVrlw4cIdYyiIsvBZE0IIW1ixN0ap+eoqJfyVP5S/Dl0qkWumZ+uVtjPWKOGv/KHMWHWsRK4pCuZO+ZotqBSlfPUDSU1NxcfHh5SUFKvRToCsrCyioqIsq4IJxzBixAiOHz9+1zZkAwcOpEmTJkyaNMmm13/ppZdISUlhwYIFNjunfNaEKEMyM2+0uPzrL5C5AvmiKAofrTnFnOvtyu5vUIlPHmuCWm3+xi/LkMXw34cD8FWfr3B1su2/lauPXmHEN7txUqv46/kO1Azysun5RdHcKV+zBennJBzOBx98wIEDBzh9+jSffPIJX3/9db7arr3//vt4FkMP5cDAQN566y2bn1cIUUaYTLBhg/khS6bfkd5o4mBMMou2RPHEwp2W5PeZTtWskl8Ao8nID4d+4IdDP2A0GW0eS7e6QdxbJwiDSWHyr4elP3A5I0UvwuHs3LmTmTNncu3aNapVq8bHH3/MU089ddfXhYeH8+yzz9o8npdeesnm5xRClCEuLpAzoffm9pfCSlq2gfvmbCQm6caKqBq1irf71uexllVyHe+scebDHh9atovD1D512Xgqnp1RiZyOS5NR4HJEEmDhcG7tDCGEEA7NyQkGDLB3FA5v3fE4YpIycdWqaVOtIk2r+HFv3SDqVMr7622tRsu41uOKNabKfu7UD/Fmb3Qyx2KvSQJcjkgCLIQQQohit/Z4HABD2lRlUq86do7mhlrBXuyNTuZk7DVoZO9oREmRBFgIIYQoCoMBVqwwb/frl/eiR+WcwWhi3QlzAty1dmC+XmNSTESnRANQxacKalXxTFuKvD7qe+LKtWI5v3BM8rdUCCGEKIrsbBg40LydliYJcB72RieTnKHHx01Ls3C/fL0mU59JxEcRwI2lkItDresJ8ElJgMsV+VsqhBBCiGK15tgVALrUCsBJk/+RXHete3GFZFEr2JwARydmkKEzyKIY5YT8KQshhBCiWP13PQG+p07+lx32cPYg/dX04grJoqKnC/6eziSk6Tgdl0bDyr7Ffk1hf9IHWAghhBDF5lxCOmfi03FSq+hUK8De4eTJUgccK2UQ5YXdE+C5c+daVsNq1qzZXVf7yrFlyxacnJxo3Lhx8QYoimT9+vWoVCqSk5PtHUqeBg8ezDvvvGPTc8bFxREQEMDFixdtel4hhCiNckZ/W0ZUwNtVa+do8hYpdcDljl0T4KVLlzJu3DgmT57Mvn376NChAz179iQ6OvqOr0tJSeGJJ57gnnvuKaFIHd/QoUNRqVS5HqdPn7Z3aHdVtWpV5syZU+LXPXjwIH/++afV4hl53cfWrVtbve7MmTP069ePgIAAvL29GThwIFeuXLE8HxgYyODBg5kyZUqJvRchhHBUa46Zuz8UpPwBINuQzYjfRzDi9xFkG7KLIzSLnDrg4zICXG7YNQGePXs2w4cP56mnnqJOnTrMmTOHsLAw5s2bd8fXPfPMMwwaNIg2bdqUUKSlw3333cfly5etHhEREfYOy2F9+umnDBgwAC8v68bnt97HVatWWZ5LT0+ne/fuqFQq1q5dy5YtW9DpdPTu3RvTTUugDhs2jO+//56kpKQSez9CCOFoUjL17DqXCMA9+Wx/lsNgMvDlvi/5ct+XGEyG4gjPQkaAyx+7JcA6nY49e/bQvXt3q/3du3dn69att33dokWLOHPmTL5H17Kzs0lNTbV6FEa6Lp10XbrVWuE6o450XXqu30xzjjUpNxIivVFPui6dLENWvo4tDBcXF4KDg60eGo0GgA0bNtCyZUtcXFyoVKkSEydOxGC48Q9KXqOwjRs3ZurUqZafVSoVX375Jf369cPd3Z2aNWvy+++/W71m1apVREZG4ubmRpcuXTh37lyh3ksOo9HI8OHDiYiIwM3NjVq1avHRRx9ZHWMwGHjuuefw9fWlYsWKvPLKKwwZMoS+ffve9rwmk4mffvqJPn365Hru1vtYoUIFy3Nbtmzh3LlzLF68mAYNGtCgQQMWLVrErl27WLt2reW4Bg0aEBwczIqc3qBCCFEO7Y1OwmBSiPD3oKp/wdqYaTVa3u7yNm93eRutpnhLJyKDPAG4kppNcoauWK8lHIPdEuCEhASMRiNBQdZfiQQFBREbG5vna06dOsXEiRP5/vvvccpnn8UZM2bg4+NjeYSFhRUqXs8ZnnjO8CQhI8Gy7/0t7+M5w5Oxq8ZaHRv4QSCeMzwtDbwBPtv1GZ4zPBn++3CrY6t+VBXPGZ4ciz9m2bd4/+JCxXg7Fy9epFevXrRo0YIDBw4wb948vvrqK95+++0Cn2vatGkMHDiQgwcP0qtXLx5//HESE82/3V+4cIH+/fvTq1cv9u/fz1NPPcXEiROLFLvJZKJy5cosW7aMo0eP8sYbb/Dqq69aLZf83nvv8f3337No0SK2bNlCamoqv/766x3Pe/DgQZKTk2nevHmu59avX09gYCCRkZGMGDGCuLg4y3PZ2dmoVCpcXFws+1xdXVGr1WzevNnqPC1btsx3TbsQQpRFp66PqNa9zXLHd+KscWZyx8lM7jgZZ42zrUOz4uWqJdTXDYCTV9KK9VrCMdh9EpxKpbL6WVGUXPvAPBI4aNAgpk2bRmRkZL7PP2nSJFJSUiyPCxcuFDlmR/XHH3/g6elpeQy4vjb93LlzCQsL49NPP6V27dr07duXadOmMWvWLKuv7fNj6NChPPbYY9SoUYN33nmH9PR0du7cCcC8efOoVq0aH374IbVq1eLxxx9n6NChRXpPWq2WadOm0aJFCyIiIiznvDkB/uSTT5g0aRL9+vWjdu3afPrpp/j6+t7xvOfOnUOj0RAYaP2VXM+ePfn+++9Zu3Yts2bNYteuXXTt2pXsbPMof+vWrfHw8OCVV14hIyOD9PR0XnrpJUwmE5cvX7Y6V2hoaJFHwIUQojTLSSZrXh9hdWQ5o8CyIlz5YLc+wP7+/mg0mlyjvXFxcblGhQGuXbvG7t272bdvH2PHmkdcTSYTiqLg5OTEv//+S9euXXO9zsXFxWq0rrDSJpn/Et/clPuldi8xrvU4nNTWtzHuRfOIoZvWzbJvTIsxjGg6Ao1aY3XsuefP5Tp2aOOhhYqxS5cuVvXTHh7mr5uOHTtGmzZtrH6xaNeuHWlpacTExFClSpV8X6Nhw4ZW5/fy8rKMkB47dozWrVtbXccWddrz58/nyy+/5Pz582RmZqLT6SzdP1JSUrhy5QotW7a0HK/RaGjWrNkdk/vMzExcXFxy/bL1yCOPWLbr169P8+bNCQ8P588//6R///4EBATw008/MWrUKD7++GPUajWPPfYYTZs2tZSb5HBzcyMjI6PI718IIUqrnBHgnBrbglAUxfKtq7+7f56DY7ZUK9ibdSfiOSkT4coFuyXAzs7ONGvWjNWrV9OvXz/L/tWrV/Pggw/mOt7b25tDhw5Z7Zs7dy5r167l559/LvbJXnktweiscc7za5m8jtVqtHnWMN3u2ELF6OFBjRo1cu3Pa1Q9p5Y5Z79arbaqbwbQ63PXImu11rGpVCpLonnr621h2bJljB8/nlmzZtGmTRu8vLx4//332bFjR644bna3WPz9/cnIyECn0+HsfPuv1ipVqkR4eDinTp2y7OvevTtnzpwhISEBJycnfH19CQ4OzvUZTExMJCDAMXteCiFEcTOZFE7FmQePIgsxApyhzyDwA/O3dMW5FHKOWsEyAlye2HUluAkTJjB48GCaN29OmzZtWLBgAdHR0YwcORIwly9cvHiRb775BrVaTf369a1eHxgYiKura679wlrdunX55ZdfrBLhrVu34uXlRWhoKAABAQFWX+GnpqYSFRVV4OvcWnu7ffv2IsW+adMm2rZty+jRoy37zpw5Y9n28fEhKCiInTt30qFDB8BcLrNv37479ojOee7o0aN3PO7q1atcuHCBSpUq5XrO398fgLVr1xIXF5drQt3hw4fp3LnzXd6hEEKUTReTM8nQGdFqVIRXLN7k1RZu7gRxu3JMUXbYtQb4kUceYc6cObz55ps0btyYjRs3smrVKsLDwwG4fPnyXXsCi7sbPXo0Fy5c4Nlnn+X48eP89ttvTJkyhQkTJqBWmz8CXbt25dtvv2XTpk0cPnyYIUOG5PpK/25GjhzJmTNnmDBhAidOnOCHH35g8eLF+XrtxYsX2b9/v9UjMTGRGjVqsHv3bv755x9OnjzJ66+/zq5du6xe++yzzzJjxgx+++03Tpw4wfPPP09SUtId//EKCAigadOmVhPX0tLSePHFF9m2bRvnzp1j/fr19O7dG39/f6tvKRYtWsT27ds5c+YM3333HQMGDGD8+PHUqlXLckxGRkaeXU6EEGWQhwcoivnh4fiJXkk5FWceSa3m74lWU/B0w8PZA2WKgjJFKfbRX4DqAZ6oVZCcoSfuWvH2HRYOQClnUlJSFEBJSUnJ9VxmZqZy9OhRJTMz0w6RFc2QIUOUBx988LbPr1+/XmnRooXi7OysBAcHK6+88oqi1+stz6ekpCgDBw5UvL29lbCwMGXx4sVKo0aNlClTpliOAZQVK1ZYndfHx0dZtGiR5eeVK1cqNWrUUFxcXJQOHTooCxcuVAAlKSnptrGFh4crQK7HokWLlKysLGXo0KGKj4+P4uvrq4waNUqZOHGi0qhRI8vr9Xq9MnbsWMXb21vx8/NTXnnlFWXAgAHKo48+esd7Nn/+fKV169aWnzMyMpTu3bsrAQEBilarVapUqaIMGTJEiY6OtnrdK6+8ogQFBSlarVapWbOmMmvWLMVkMlkd88MPPyi1atW67bVL82dNCCHyY97600r4K38oY77fY+9Q8q3L++uU8Ff+UDadjLd3KOXenfI1W1ApSjEUbjqw1NRUfHx8SElJwdvbui1LVlYWUVFRlqWZRelkMpmoU6cOAwcO5K233rrtcVlZWdSqVYsff/zR5ouqtGzZknHjxjFo0KDbXls+a0KIsmzCsv0s33uRCd0iee6emvYOJ1+GLtrJ+hPxzOjfgMda5n+CuLC9O+VrtmDXGmAhbOH8+fP8+++/dOrUiezsbD799FOioqJum3zmcHV15ZtvviEhIeGOxxVUXFwcDz/8MI899phNzyuEcFBZWTB4sHn7229BfqkF4NSVwk+AA/NSyK/89woA7937Hi5ORe/odDdhfuZOTxcSpYNPWScJsCj11Go1ixcv5sUXX0RRFOrXr89///1HnTp17vraTp062TyewMBAXn75ZZufVwjhoIxG+Pln83Y+5z2UdSaTwum4nB7ABW+BBualkD/aYV75c3rX6bhQAglwBXNL0gtJmcV+LWFfkgCLUi8sLIwtW7bYOwwhRHnl7AyffnpjWxCTlEmm3oizRk14Bfe7vyAPWo2WV9u/atkuCTkjwNEyAlzmSQIshBBCFIVWC2PG2DsKh3Lyei/dagEeOBWiAwSYe+1Pv2e6LcO6q7DryXqMJMBlnt2XQnZE5WxeoLAD+YwJIcqyk3GFXwHOnnIS4KvpOtKzDXaORhQnSYBvkrPKmSxfK4qbTqcDKHCvZSGEAzIaYf1688NotHc0DqGoE+DAPFCQrksnXZdeYoMGPm5avF3NX47HSB1wmSYlEDfRaDT4+voSFxcHgLu7u6wEI2zOZDIRHx+Pu7s7Tk7yV1CIUi8rC7p0MW+npcliGNwogSjsBDgwL4XsOcOcQJfEUsg5wiq4c+RSKhcSM6gVXLpGsEX+yf++twgODgawJMFCFAe1Wk2VKlXkFywhRJljvKkDRGkrgQCocj0BlolwZZskwLdQqVRUqlSJwMBA9Hq9vcMRZZSzs7NlGWohhChLLiRmkG0w4eKkpkohO0AAuGvdSZuUZtkuKTl1wBeSJAEuyyQBvg2NRiP1mUIIIUQBnbo++ls9wBONuvDfcqlUqhIre7hZmN/1XsCJUgNclskQlBBCCCFs5vzVdAAiAkpnLXTlnFZoMgJcpkkCLIQQQgibyVlGOGdRicLSGXVMXjOZyWsmozPqbBFavuSUbUQnZkjLyjJMEmAhhBBC2EzO5LGi1P8C6I163tn8Du9sfge9seTm5IT6mksgMnRGEtNLLvEWJUtqgIUQQghhMxeu988Nq+BWpPM4qZ14vtXzlu2S4qrVEOTtwpXUbC4kZVLR06XEri1KjiTAQgghhLAJRVEsJRBFHQF2cXJhzn1zbBBVwYX5uZsT4MQMGof52iUGUbykBEIIIYQQNhF/LZtsgwm1CkJ8izYCbE831wGLskkSYCGEEELYRE7CWMnHDa2m9KYY0gmi7Cu9n04hhBBCOJScxSOKWv8LkK5LRzVNhWqainRdepHPVxDSC7jskwRYCCGEEDaRkzAWtf7X3mQ1uLJPJsEJIYQQReHuDnFxN7bLsWgb9QAG8/LHcS/GWbZLUk4CfzEpE6NJKdKKdsIxSQIshBBCFIVKBQEB9o7CIVg6QFQsesKqUqkI8LDPfQ3ydkWrUaE3KlxOyaSyDRJ64VikBEIIIYQQNpGTAJf2hFGjVlkWxJA64LJJEmAhhBCiKLKzYcwY8yM7297R2I3OYOJyahZgmxpgnVHH9I3Tmb5xeokuhZwj9PpEuMspkgCXRVICIYQQQhSFwQBz55q3Z84El/K5ctjF5EwUBdy0Gvw9nYt8Pr1Rz2vrXgNgXOtxOGuKfs6CqOhh/nOU5ZDLJkmAhRBCiKLQamHKlBvb5VRO+UNYBTdUqqJPGnNSO/FUk6cs2yWtgoc54b4qCXCZJAmwEEIIURTOzjB1qr2jsDtbdoAA81LIX/T5wibnKoycBDgxTRLgskhqgIUQQghRZDcWwSjdE+ByWBLgDEmAyyIZARZCCCGKwmSCY8fM23XqgLp8ji3dKIEoGwlwxZwEWEogyiRJgIUQQoiiyMyE+vXN22lp4OFh33jsxNarwKXr0gn8IBCAuBfj8HAu2ftaQRLgMk0SYCGEEEIUWfRNk+BsJUNvv6WILZPg0spva7uyTBJgIYQQQhRJSqaelEw9YLtJcG5aN6Kej7Jsl7ScBDg1y4DeaEKrKZ+lLWWVJMBCCCGEKJKc+t+KHs54uNgmtVCr1FT1rWqTcxWGr7szKhUoCiRl6Aj0crVbLML25NcZIYQQQhRJTBnrAAHm5ZD93KUOuKySBFgIIYQQRRKTZJ4AV9nPdqUKeqOeOdvnMGf7HPRGvc3OWxB+7uaFTaQXcNkjCbAQQgghiiT++kQxW5YJ6Iw6xv8znvH/jEdntE8CalkOWXoBlzlSAyyEEEKIIkm4Zk4Q/b2cbXZOjVrDoAaDLNv2IK3Qyi5JgIUQQghRJAnXR4D9PV1sdk5XJ1e+7/+9zc5XGBU8c1qhSQJc1kgJhBBCCCGK5Gp6TgJsuxFgR1BBJsGVWZIACyGEEKJILCUQNhwBdgSWEgipAS5zJAEWQgghRKEpinLTCLDtEuB0XToB7wcQ8H4A6bp0m523ICpeH9GWLhBlj9QACyGEEKLQUjMN6I0KcGPE1FYSMhJser6CkklwZZckwEIIIURRuLnB4cM3tsuZnBZoXq5OuGpt163BTevG4VGHLdv2kLMQxlVJgMscSYCFEEKIolCroV49e0dhNzkdIAJsXP+rVqmpF2jf+5pTApGUoUNRFFQqlV3jEbZj9xrguXPnEhERgaurK82aNWPTpk23PXbz5s20a9eOihUr4ubmRu3atfnwww9LMFohhBBC3CynRVjFMtYBAm6UQBhNCqmZBjtHI2zJriPAS5cuZdy4ccydO5d27drx+eef07NnT44ePUqVKlVyHe/h4cHYsWNp2LAhHh4ebN68mWeeeQYPDw+efvppO7wDIYQQ5Z5OB++8Y95+9VVwLnuJ4J0URw9gMC+FvHj/YgCGNh6KVqO16fnzw8VJg6eLE2nZBq6mZ+PjXvIxiOKhUhRFsdfFW7VqRdOmTZk3b55lX506dejbty8zZszI1zn69++Ph4cH3377bb6OT01NxcfHh5SUFLy9vQsVtxBCCGGRng6enubttDTw8LBvPCVs1r8n+GTtaQa3DuetvvVtdt50XTqeM8z3NW1SGh7O9rmvHWau5UJiJj+PbEPzqhXsEkN5VNz5mt1GgHU6HXv27GHixIlW+7t3787WrVvzdY59+/axdetW3n777dsek52dTXZ2tuXn1NTUwgUshBBC5MXJCUaPvrFdziQUUwmERq3hwVoPWrbtpYKHCxcSM6UTRBljt7+pCQkJGI1GgoKCrPYHBQURGxt7x9dWrlyZ+Ph4DAYDU6dO5amnnrrtsTNmzGDatGk2iVkIIYTIxcUFPvvM3lHYTXGVQLg6ufLro7/a9JyFUVFaoZVJdp8Ed+uMyvzMsty0aRO7d+9m/vz5zJkzhyVLltz22EmTJpGSkmJ5XLhwwSZxCyGEEKL4EmBHkTMRTlqhlS12GwH29/dHo9HkGu2Ni4vLNSp8q4iICAAaNGjAlStXmDp1Ko899liex7q4uODiUjb/UgohhHAAigIJ1xds8PeHctYqK6cLhH8Z7AIBshhGWWW3EWBnZ2eaNWvG6tWrrfavXr2atm3b5vs8iqJY1fgKIYQQJSojAwIDzY+MDHtHU+KKawQ4Q59B1TlVqTqnKhl6+93XnAQ4SRLgMqXQI8Br1qxhzZo1xMXFYTKZrJ5buHBhvs4xYcIEBg8eTPPmzWnTpg0LFiwgOjqakSNHAubyhYsXL/LNN98A8Nlnn1GlShVq164NmPsCf/DBBzz77LOFfRtCCCGEKKQMnYEMnREAfy/bJsCKonA+5bxl216kBKJsKlQCPG3aNN58802aN29OpUqVCr0yyiOPPMLVq1d58803uXz5MvXr12fVqlWEh4cDcPnyZaKjoy3Hm0wmJk2aRFRUFE5OTlSvXp13332XZ555plDXF0IIIUTh5ZQ/uDip8XC2bacGVydXdj6107JtLzIJrmwqVB/gSpUqMXPmTAYPHlwcMRUr6QMshBDCpspxH+C90Un0n7uVUF83tkzsau9wikV5eI+OqLjztULVAOt0ugLV6QohhBCi7Em4dr3+18blD45ERoDLpkIlwE899RQ//PCDrWMRQgghRCmSUxfr72H7DhAGk4HvD37P9we/x2Ay2Pz8+ZVTA5ypN5J5vd5ZlH6FqgHOyspiwYIF/PfffzRs2BCt1npt7NmzZ9skOCGEEEI4LssIcDH0AM42ZPO/Ff8DoG/tvjg526dzq6eLE84aNTqjiavp2VR2drdLHMK2CvVpOnjwII0bNwbg8OHDVs8VdkKcEEIIIUoXSws0L9uPAKtVau6tdq9l215UKhUVPJyJTc0iMV1HZT9JgMuCQiXA69ats3UcQgghhChlEq6XQFT0sP0IsJvWjdWDV9/9wBLgd1MCLMqGIv9KFRMTw8WLF20RixBCCCFKkfIwCQ5kIlxZVKgE2GQy8eabb+Lj40N4eDhVqlTB19eXt956K9eiGEIIIYQom26sAlc2l0HOIcshlz2FKoGYPHkyX331Fe+++y7t2rVDURS2bNnC1KlTycrKYvr06baOUwghhBAOxtIFohgmwWXoM2jxRQsAdo3YhbvWfrW3fu7myf5JGZIAlxWFSoC//vprvvzyS/r06WPZ16hRI0JDQxk9erQkwEIIIUQZpzeaSM7QA8WTACuKwtH4o5Zte/J1N48A57xfUfoVKgFOTEykdu3aufbXrl2bxMTEIgclhBBClBqurpAzOdzVfkv2lrScZZA1ahW+btq7HF1wrk6urBuyzrJtT77XR4AlAS47ClUD3KhRIz799NNc+z/99FMaNWpU5KCEEEKIUkOjgc6dzQ+Nxt7RlJic+t8KHs6o1bZvgapRa+hctTOdq3ZGo7bvffW7PgIsJRBlR6FGgGfOnMn999/Pf//9R5s2bVCpVGzdupULFy6watUqW8cohBBCCAdzYwJc2e4AATdGgJNkBLjMKNQIcKdOnTh58iT9+vUjOTmZxMRE+vfvz4kTJ+jQoYOtYxRCCCEcl14Pn31mfujLT4KUkJYzAa54OkAYTAZ+Pf4rvx7/1a5LIcONEeBkGQEuMwq9rmBISIhMdhNCCCF0Ohg71rw9dChobV8P64iKewQ425BNv6X9AEiblGa3pZBBSiDKonx/mg4ePEj9+vVRq9UcPHjwjsc2bNiwyIEJIYQQpYJGAw8/fGO7nEi0rAJXPCPAapWatmFtLdv25Oth/qUmS28iS2/EVVt+/pzLqnwnwI0bNyY2NpbAwEAaN26MSqXKsy2JSqXCaDTaNEghhBDCYbm6wk8/2TuKEpdTDuBXTAmwm9aNLU9uKZZzF5SXixMatQqjSSE5Q0+wjyTApV2+E+CoqCgCAgIs20IIIYQov3JagnkXQws0R6NSmVu9XU3XkZShI9in/LS7K6vynQCHh4dbts+fP0/btm1xcrJ+ucFgYOvWrVbHCiGEEKLsSck0J8DF0QPYEfm630iARelXqKKaLl265LngRUpKCl26dClyUEIIIUSpkZ4OKpX5kZ5u72hKTE4C7FNMCXCmPpMWX7SgxRctyNRnFss1CsJPVoMrUwo1pVJRFFSq3E2vr169ioeHR5GDEkIIIYRjs4wAuxdPAmxSTOy+tNuybW++0gmiTClQAty/f3/AXAszdOhQXFxutD4xGo0cPHiQtm3b2jZCIYQQQjicnJHQ4hoBdnFy4Y/H/rBs25ufLIdcphQoAfbx8QHMI8BeXl64ublZnnN2dqZ169aMGDHCthEKIYQQwqFkG4xk6s0dn3zdiqcLhJPaifsj7y+WcxdGTrcLWQyjbChQArxo0SIAqlatyosvvijlDkIIIUQ5lFP+oFKBl6v9FqgoSbIcctlSqE/tlClTbB2HEEIIIUqJ1OsJsLerFrU695wgWzCajKyNWgtA14iuaNT27b2bM9ItI8BlQ6F/bfv5559ZtmwZ0dHR6HTWH4a9e/cWOTAhhBBCOKbirv8FyDJk0f277oB5KWQPZ/t+6+wnI8BlSqHaoH388ccMGzaMwMBA9u3bR8uWLalYsSJnz56lZ8+eto5RCCGEEA6kuDtAgHn540ZBjWgU1MjuSyGDdIEoawo1Ajx37lwWLFjAY489xtdff83LL79MtWrVeOONN/LsDyyEEEKIsqMkRoDdtG7sH7m/2M5fUH4e0gWiLCnUr1TR0dGWdmdubm5cu3YNgMGDB7NkyRLbRSeEEEIIh1Pci2A4ohsLYegwmRQ7RyOKqlAJcHBwMFevXgXMSyRv374dgKioKBRFPhRCCCFEWZZcDhPgnHIPkwLXsg12jkYUVaES4K5du7Jy5UoAhg8fzvjx4+nWrRuPPPII/fr1s2mAQgghhHAsqSVQA5ypz6Tz4s50XtzZIZZCdnHS4O5s7kQhnSBKv0LVAC9YsACTybws4ciRI6lQoQKbN2+md+/ejBw50qYBCiGEEMKx5CSAxTkCbFJMbDi/wbLtCHzdtGTojCRl6AmvaO9oRFEUKgFWq9Wo1TcGjwcOHMjAgQNtFpQQQghRari4wLJlN7bLAUsXiGJaBQ7Myx8ve3iZZdsR+Lo7cyklSzpBlAH5ToAPHjyY75M2bNiwUMEIIYQQpY6TEwwYYO8oSlRODbB3MY4AO6mdGFDPse7rjU4QkgCXdvlOgBs3boxKpbrrJDeVSoXRaCxyYEIIIYRwTCXRB9gR+Vo6QUgrtNIu3wlwVFRUccYhhBBClE4GA6xYYd7u1888IlzGpZRAH2Cjycj2GHOXqdaVW9t9KWSQ1eDKknz/LQ0PDy/OOIQQQojSKTsbcubBpKWV+QRYUZQSGQHOMmTRflF7wDGWQgbrXsCidCv02oLffvst7dq1IyQkhPPnzwMwZ84cfvvtN5sFJ4QQQjg8tRo6dTI/1PZfsre4peuMGK4vBFGcI8AqlYoaFWpQo0INVCpVsV2nIG4shywjwKVdof6mzps3jwkTJtCrVy+Sk5MtNb++vr7MmTPHlvEJIYQQjs3NDdavNz/c3OwdTbHLGf111qhx0xZfWYK71p1Tz57i1LOncNe6F9t1CsLXTSbBlRWFSoA/+eQTvvjiCyZPnoxGc+PD37x5cw4dOmSz4IQQQgjhWHKSP283rcOMzJaUnC4Q0gat9CtUAhwVFUWTJk1y7XdxcSE9Pb3IQQkhhBDCMZXXDhAgXSDKkkIlwBEREezfvz/X/r/++ou6desWNSYhhBCi9EhPh4AA86McDAKVRAcIME+Cu/+H+7n/h/vJMmQV67Xyy08S4DKjUFNVX3rpJcaMGUNWVhaKorBz506WLFnCjBkz+PLLL20doxBCCOHYEhLsHUGJubEKXPEmwEaTkVWnVlm2HUFOG7S0bAM6gwlnp7I/6bGsKlQCPGzYMAwGAy+//DIZGRkMGjSI0NBQPvroIx599FFbxyiEEEIIB5GzClxxjwA7a5xZ9OAiy7Yj8HbVolaBSYHkTB2BXq72DkkUUoF/dTEYDHz99df07t2b8+fPExcXR2xsLBcuXGD48OEFDmDu3LlERETg6upKs2bN2LRp022PXb58Od26dSMgIABvb2/atGnDP//8U+BrCiGEEKJwckaAfYq5Blir0TK08VCGNh6KVuMY9cZqtcqS+EsZROlW4ATYycmJUaNGkZ2dDYC/vz+BgYGFuvjSpUsZN24ckydPZt++fXTo0IGePXsSHR2d5/EbN26kW7durFq1ij179tClSxd69+7Nvn37CnV9IYQQQhRMcgnVADsqSy/gdOkEUZoVqnilVatWNkk6Z8+ezfDhw3nqqaeoU6cOc+bMISwsjHnz5uV5/Jw5c3j55Zdp0aIFNWvW5J133qFmzZqsXLmyyLEIIYQQ4u5SS7AGeH/sfvbH7neYGmC40f0ipxRElE6FqgEePXo0L7zwAjExMTRr1gwPD+vlCRs2bHjXc+h0Ovbs2cPEiROt9nfv3p2tW7fmKw6TycS1a9eoUKHCbY/Jzs62jFYDpKam5uvcQgghhMgtOdM88lncJRBZhiyafG5uueooSyGDLIdcVhQqAX7kkUcAeO655yz7VCoViqKgUqksK8PdSUJCAkajkaCgIKv9QUFBxMbG5iuOWbNmkZ6ezsCcNdjzMGPGDKZNm5av8wkhhBDizm50gSjeiWkqlYoQrxDLtqPIGQGW5ZBLt0IlwFFRUTYL4NYPdU4SfTdLlixh6tSp/Pbbb3esQZ40aRITJkyw/JyamkpYWFjhAxZCCCHKsZwE2LuYSyDcte5cnHCxWK9RGH5SA1wmFDgB1uv1dOnShT/++KNIi174+/uj0WhyjfbGxcXlGhW+1dKlSxk+fDg//fQT99577x2PdXFxwcXFpdBxCiGEEOKGnElw5XElOAB/T3NOkZAmCXBpVuBJcFqtluzs7CJ/HeHs7EyzZs1YvXq11f7Vq1fTtm3b275uyZIlDB06lB9++IH777+/SDEIIYQQIv+MJoVrWQag/HaB8Pc0jwDHp2Xf5UjhyArVBeLZZ5/lvffew2AwFOniEyZM4Msvv2ThwoUcO3aM8ePHEx0dzciRIwFz+cITTzxhOX7JkiU88cQTzJo1i9atWxMbG0tsbCwpKSlFikMIIYQQd5d6U+eDklgKecBPAxjw0wCHWQoZIMDLPAIcf00S4NKsUDXAO3bsYM2aNfz77780aNAgVxeI5cuX5+s8jzzyCFevXuXNN9/k8uXL1K9fn1WrVhEeHg7A5cuXrXoCf/755xgMBsaMGcOYMWMs+4cMGcLixYsL81aEEEIIkU859b8ezhq0muJdBthoMvLz0Z8BWPzg4mK9VkHkJMAJMgJcqhUqAfb19eWhhx6ySQCjR49m9OjReT53a1K7fv16m1xTCCGEsBlnZ/j00xvbZVhO79ucxSCKk7PGmU97fmrZdhQ5CfDVtGyMJgWN2nE6VIj8K1QCvGjRIlvHIYQQQpROWi3c9K1kWVZSHSDAvBTymJaOd18ruDujUoFJgcR0nSUhFqVLoRLgHPHx8Zw4cQKVSkVkZCQBAQG2iksIIYQQDiZn8YfiXgXOkTlp1FT0cCYhTUdCWrYkwKVUoQp40tPTefLJJ6lUqRIdO3akQ4cOhISEMHz4cDIyMmwdoxBCCOG4jEZYv978yMdCUKVZziS4kugAYVJMnLp6ilNXT2FSTMV+vYLIaYUmE+FKr0IlwBMmTGDDhg2sXLmS5ORkkpOT+e2339iwYQMvvPCCrWMUQgghHFdWFnTpYn5kOU63guJQkj2AM/WZRH4aSeSnkWTqM4v9egUhnSBKv0KVQPzyyy/8/PPPdO7c2bKvV69euLm5MXDgQObNm2er+IQQQgjHplJBzsJQDrRkb3FIKcERYAAfF58SuU5BBeSMAEsniFKrUAlwRkZGnqu1BQYGSgmEEEKI8sXdHY4csXcUJSK5BCfBeTh7kDwxudivUxiWVmgyAlxqFaoEok2bNkyZMoWsm77qyczMZNq0abRp08ZmwQkhhBDCcSSlmyfBVfBwnLZk9mApgZAR4FKrUCPAH330Effddx+VK1emUaNGqFQq9u/fj6urK//884+tYxRCCCGEA7gqCTAgk+DKgkIlwPXr1+fUqVN89913HD9+HEVRePTRR3n88cdxc3OzdYxCCCGE48rIgBYtzNu7dplLIsqoq+nmhM/fs/gT4GxDNs/88QwAnz/wOS5OjtNuTFaDK/0K3QfYzc2NESNG2DIWIYQQovRRFDh69MZ2GZaYljMCXPzJqMFk4OsDXwPwWa/PcMHxEmAZAS69ClQDvGfPHrp06UJqamqu51JSUujSpQsHDhywWXBCCCGEcAxZeiPpOnOf45IogdBqtMy8dyYz752JVuNYC2/klEAkZejRGRyrR7HInwIlwLNmzaJr1654e3vnes7Hx4du3brx/vvv2yw4IYQQQjiGxOv1v1qNCm/XIi0kmy/OGmdeavcSL7V7CWeNY9Uc+7ppcVKbW97llIWI0qVACfCOHTt48MEHb/t879692bp1a5GDEkIIIYRjyUmA/dydUZXxfsd3o1arLKPACdd0do5GFEaBEuCLFy/i5eV12+c9PT25fPlykYMSQgghhGPJmfBV0bNkanFNiomLqRe5mHrR4ZZChptboZXt1f/KqgIlwAEBAZw4ceK2zx8/fhx/f/8iByWEEEIIx5IzAlyxhFqgZeozqfxhZSp/WNnhlkKGG50wZCJc6VSgBPjee+9l+vTpeT6nKArvvPMO9957r00CE0IIIYTjSLRDD2AntRNO6uKvNy4M6QRRuhXoU/Xaa6/RrFkzWrVqxQsvvECtWrVQqVQcO3aMWbNmcfLkSRYtWlRcsQohhBDCTkp6EQwPZw/0r+tL5FqFcaMXsNQAl0YFSoCrV6/Of//9x9ChQ3n00UctRfCKolC3bl1Wr15NjRo1iiVQIYQQQthPTg/gkiqBcHQBshpcqVbg7xWaN2/O4cOH2b9/P6dOnUJRFCIjI2ncuHExhCeEEEIIR5DT7qukJsE5On8pgSjVClQDfLPGjRszYMAAQkNDqVOnji1jEkIIIYSDKekSiGxDNmP+HMOYP8eQbXC8JDNnBFiWQy6dCp0A5+jZsycXL160RSxCCCGEcFCWLhCeJZMAG0wG5u6ey9zdczGYDCVyzYKQSXClW5GnViplfN1zIYQQ4o60Wpgy5cZ2GZVTA1xSI8BajZYpnaZYth1NTgnEtWwDmTojbs4aO0ckCsIxe4sIIYQQpYWzM0ydau8oilW2wci1bPMobElNgnPWODO189QSuVZheLk44eKkJttgIiEtm7AK7vYOSRRAkUsgPv/8c4KCgmwRixBCCCEcUE75g5Nahber443G2oNKpbppNTgpgyhtipwADxo0CKPRyK+//sqxY8dsEZMQQghRephMcOSI+WFyvCV7beHq9fIHPw9n1GpViVxTURSSs5JJzkp22HJLqQMuvQqVAA8cOJBPP/0UgMzMTJo3b87AgQNp2LAhv/zyi00DFEIIIRxaZibUr29+ZDrekr22UNLLIANk6DPwe88Pv/f8yNBnlNh1C8JfegGXWoVKgDdu3EiHDh0AWLFihfm3tORkPv74Y95++22bBiiEEEI4PH9/86OMsscyyKWBjACXXoVKgFNSUqhQoQIAf//9Nw899BDu7u7cf//9nDp1yqYBCiGEEA7NwwPi480PDw97R1MsSroHMIC71h3dazp0r+lw1zrmBDPLanBSA1zqFCoBDgsLY9u2baSnp/P333/TvXt3AJKSknB1dbVpgEIIIYSwr6vXEzz/ElwFTqVSodVo0Wq0qFQlU3dcUEHe5pznSkqWnSMRBVWoNmjjxo3j8ccfx9PTk/DwcDp37gyYSyMaNGhgy/iEEEIIYWdSApG3UD83AC4ml83a77KsUAnw6NGjadmyJRcuXKBbt26o1eaB5GrVqkkNsBBCiPIlMxN69jRv//UXuLnZN55iYI8SCJ1Rx+Q1kwGYfs90nDWOl3yH+pr/rGOSMlEUxWFHqkVuhV4Io3nz5jRv3hwAo9HIoUOHaNu2LX5+fjYLTgghhHB4JhNs2HBjuwyyRxcIvVHPB9s+AGBq56kOnQCnZRtIzTTg4y49kkuLQtUAjxs3jq+++gowJ7+dOnWiadOmhIWFsX79elvGJ4QQQgg7s0cJhFaj5cU2L/JimxcdcilkADdnjeWXgphkx2zVJvJWqAT4559/plGjRgCsXLmSqKgojh8/zrhx45g8ebJNAxRCCCGEfSVcnwRXsQQnwTlrnHm/+/u83/19hxz9zWGpA06SOuDSpFAJcEJCAsHBwQCsWrWKAQMGEBkZyfDhwzl06JBNAxRCCCGE/egMJq5lGYCSLYEoLSr73agDFqVHoRLgoKAgjh49itFo5O+//+bee+8FICMjA41GY9MAhRBCCGE/SRnm8geNWoWPW8mVIiiKgt6oR2/UO+xSyHCjDlg6QZQuhZoEN2zYMAYOHEilSpVQqVR069YNgB07dlC7dm2bBiiEEEII+7maZk6A/dy1qNUl1+UgQ5+B5wxPANImpeHh7JiLjFgSYBkBLlUKlQBPnTqV+vXrc+HCBQYMGICLi7kmSKPRMHHiRJsGKIQQQgj7kR7AdxbqZ16lTkaAS5dCt0F7+OGHc+0bMmRIkYIRQgghhGO5mn59ApxHyU2AA/NSyEmvJFm2HVVlWQyjVCpUDTDAhg0b6N27NzVq1KBmzZr06dOHTZs22TI2IYQQQthZTglEBc+SHQFWqVT4uvri6+rr0AtM5HSBSEzXkaEz2DkakV+FSoC/++477r33Xtzd3XnuuecYO3Ysbm5u3HPPPfzwww+2jlEIIYQQdmKPRTBKE29XLV6u5i/UpQ649ChUCcT06dOZOXMm48ePt+x7/vnnmT17Nm+99RaDBg2yWYBCCCGEsB97LIMM5qWQ39n0DgCvdnjVsXsB+7pxPPYaMcmZ1Azysnc4Ih8KNQJ89uxZevfunWt/nz59iIqKKnJQQgghhHAMiZYa4JJNQPVGPdM2TGPahmnojfoSvXZBVZbFMEqdQiXAYWFhrFmzJtf+NWvWEBYWVqBzzZ07l4iICFxdXWnWrNkd64gvX77MoEGDqFWrFmq1mnHjxhU0dCGEEMK2nJxg9Gjzw6nQc8sdVvy1kl8FDsBJ7cTo5qMZ3Xw0TmrHvq+Vr3eCkMUwSo9CfaJeeOEFnnvuOfbv30/btm1RqVRs3ryZxYsX89FHH+X7PEuXLmXcuHHMnTuXdu3a8fnnn9OzZ0+OHj1KlSpVch2fnZ1NQEAAkydP5sMPPyxM6EIIIYRtubjAZ5/ZO4piE5uSBUAlH9cSva6Lkwuf3V867qsshlH6FCoBHjVqFMHBwcyaNYtly5YBUKdOHZYuXcqDDz6Y7/PMnj2b4cOH89RTTwEwZ84c/vnnH+bNm8eMGTNyHV+1alVLgr1w4cLChC6EEEKIfDKaFK5cHwGu5ONm52gcV6ilBCLDzpGI/CpwAmwwGJg+fTpPPvkkmzdvLvSFdTode/bsybVwRvfu3dm6dWuhz3ur7OxssrOzLT+npqba7NxCCCEEigIJCeZtf39w4JZdBZWQlo3RpKBRqwjwKtkSiNJERoBLnwLXADs5OfH+++9jNBqLdOGEhASMRiNBQUFW+4OCgoiNjS3SuW82Y8YMfHx8LI+C1igLIYQQd5SRAYGB5kdG2RoBvHQ9oQvyckFTgssgA6Tr0tG+pUX7lpZ0XXqJXrugckaAr6Rmk20oWn4kSkahJsHde++9rF+/3iYB3NrcWlEUmza8njRpEikpKZbHhQsXbHZuIYQQoizLqf8NLuH63xwGkwGDyfEXl6jo4Yyr1pxSXU7OsnM0Ij8KVQPcs2dPJk2axOHDh2nWrBkeHh5Wz/fp0+eu5/D390ej0eQa7Y2Li8s1KlwULi4uuLjI1zZCCCGKiYeHuQyiDLpsmQBX8vW/blo3YsbHWLYdmUqlItTXjTPx6VxMzqSqv8fdXyTsqtCT4MA8ie1WKpUqX+URzs7ONGvWjNWrV9OvXz/L/tWrVxdoIp0QQgghisflFHMJREl3gABQq9SEeoeW+HULK9TP3ZwASyu0UqFQCbDJZLLJxSdMmMDgwYNp3rw5bdq0YcGCBURHRzNy5EjAXL5w8eJFvvnmG8tr9u/fD0BaWhrx8fHs378fZ2dn6tata5OYhBBCCGF22c4lEKVJzkS4GJkIVyoUKAFeu3YtY8eOZfv27Xh7e1s9l5KSQtu2bZk/fz4dOnTI1/keeeQRrl69yptvvsnly5epX78+q1atIjw8HDAvfBEdHW31miZNmli29+zZww8//EB4eDjnzp0ryFsRQgghbCMrCwYPNm9/+y24lp1kMdaOJRA6o46Ptptbnz7f+nmHXgoZbqwGFyOt0EqFAiXAc+bMYcSIEbmSXwAfHx+eeeYZZs+ene8EGGD06NGMHj06z+cWL16ca59SRuushBBClFJGI/z8s3k7j/+3SjNLDbBvySf1eqOel/97GYDRLUaXogRYRoBLgwJ1gThw4AD33XffbZ/v3r07e/bsKXJQQgghhLAvo0nhSqp9VoED81LIQxoNYUijIQ6/FDJAlQrm5ZCjr8oIcGlQoE/UlStX0Gq1tz+ZkxPx8fFFDkoIIYQQ9nU1LRuDSUGtggDPku+m5OLkwuK+i0v8uoUVXtHc+SE2NYssvRFXrcbOEYk7KdAIcGhoKIcOHbrt8wcPHqRSpUpFDkoIIYQQ9pVT/hDk7YqTplDLBpQrfu5avFzM44rRiTIK7OgK9Inu1asXb7zxBllZuZs8Z2ZmMmXKFB544AGbBSeEEEII+5AOEAWjUqkI9zeXQZyXMgiHV6ASiNdee43ly5cTGRnJ2LFjqVWrFiqVimPHjvHZZ59hNBqZPHlyccUqhBBCiBJizx7AYF4KOXS2uQ/wxQkX8XB2/MUlwit4cPhiKuevOvbSzaKACXBQUBBbt25l1KhRTJo0ydKRQaVS0aNHD+bOnWvTVdyEEEIIYR+WZZC97bcKW0p2it2uXRjhFWUEuLQo8LTK8PBwVq1aRVJSEqdPn0ZRFGrWrImfn19xxCeEEEIIO8gpgQixQws0MC9/fHLsSct2aWBJgKUG2OEVuq+In58fLVq0sGUsQgghhHAQOSUQ9qoBVqvU1KxY0y7XLqycThBSAuH4ZFqnEEIIIXKxLIIhk+DyLWcE+GJSJgajyc7RiDuRBFgIIYQQVkxWi2DYp/xAb9Tz2c7P+GznZ+iNervEUFBBXq44O6kxmBQuJefumCUchyTAQgghhLByNV2H3nh9EQyvkl8EA0Bn1DH2r7GM/WssOqPOLjEUlFqtIvz6inDnpAzCoTn+2oJCCCGEI9No4OGHb2yXATn1vwFeLmjttAiGRq3h4boPW7ZLi/CK7pyKS5OJcA5OEmAhhBCiKFxd4aef7B2FTd2o/7Vf9wVXJ1d+GlD67qtlIlyCjAA7MimBEEIIIYSVWJkAV2jSCq10kARYCCGEEFYu2bkFWmlW5XoNcLQshuHQJAEWQgghiiI9HVQq8yO9bHztnTMCHGLHEogMfQahs0MJnR1Khr70JJNVc0ogEtMtK+YKxyM1wEIIIYSwklMDbM8RYEVRuHTtkmW7tAj1c0OjVpGlNxF3LZsgbxlFd0SSAAshhBBF4e4OcXE3tsuAmOv1q/ZaBhnMk+D2PbPPsl1aaDVqQn3diE7M4FxCuiTADkoSYCGEEKIoVCoICLB3FDaTnm3g0vUR4OoBnnaLQ6PW0Di4sd2uXxThFd2JTszgfGIGrapVtHc4Ig9SAyysRCWkk5JROlbcEUIIYXtn4tMA8Pd0wdfd2c7RlE4yEc7xyQiwsPj78GVGfrcXrUZFuxr+9GpQiQcaVsLdWT4mQghxW9nZMGGCeXv2bHCxz8pptnI6zpwA1wj0sGsceqOe7w99D8DjDR5Hq9HaNZ6CyJkIJ6vBOS4ZARYAZOgMTFt5FAC9UWH9iXhe/vkgAz/fhs5gsnN0QgjhwAwGmDvX/DAY7B1Nkd1IgO1X/gDmpZCH/TaMYb8NKzVLIeeocr0XcM69FI5HEuBy6K9Dlxn81Q7WnYiz7Pts3Wkup2RR2c+NP59rzwvdIvFx03L4YiqfrTttx2iFEEKUpFM5CbAd63/BXAPcq2YvetXsVaqWQgZoUsUXJ7WK47HXOBiTbO9wRB4kAS5Hsg1Gpvx2mFHf72XTqQSe+no3y3ZfICohnS82RgHw+gN1qRfiw7P31GR6v/qAOTk+cinFnqELIYQoIWcsI8Bedo3D1cmVPwf9yZ+D/ixVXSAAAr1c6d0oBICvNkfZORqRF0mAHYjOYGLBxjO0fmcN7/9z3KbnjknK4KF5W/l623kAGoX5YjQpvPzzQQZ/tQOd0UTHyAC61w2yvOb+BpW4r14wBpPCSz8dRG+UUgghhCjLdAaTZQlfe5dAlHbD20cA8OfBy1xKzrRzNOJWkgA7iHXH47hvzkbeWXWc2NQsPlt3ht/2X7TJuY0mhTHf7+XwxVT83LUsGtaCX0e35ZlO1QCIScpEq1ExpXddVCqV5XUqlYq3+tbH113L0cupzF13xibxCCGEcEznrqZjNCl4uTgR5F26J/PZW/1QH9pUq4jBpPD11nP2DkfcQhJgB/DZutMMW7yLswnp+Hu6cF+9YAAmLT/E6bhrRT7/4q3nOBCTgperE7+PbU+XWoGoVCom9azDa/fXwcNZwwvda+XZ7zHAy4VpfeoB8MnaU1LLJIQQZdipK+byh+qBnlYDIvaQoc+g5ic1qflJzVK1FPLNnupgHgX+YWc0admlf4JkWSIJsJ39uDOa9/85AcCwdlVZ92InPnu8Ke1qVCRDZ2TUd3vJ0OX+S5PfZSFjkjKY9a/5/JN61iGsgvUqRU91qMbBqT0Y2an6bc/Rp1EIvRqYSyHG/bg/z3iEEEKUfo7SAQLM/8+dTjzN6cTTpWop5Jt1qRVINX8PrmUZ+Gn3BXuHI24iCbAdrT56hVdXHAJgTJfqTOldDy9XLRq1ijmPNCHQy4VTcWm89NNBjKYbf/njUrPo+dEmOsxcy/K9MZhMef/DoCgKr/16mAydkZZVK/Boi7A8j9Oo7/xbvkql4p1+DQj2duVsQjpv/3mskO9YCCGEIzsd7zgJsKuTK5uHbWbzsM2lbhJcDrVaxZPXa4EXbTl32/+vRcmTFQ5K0Nn4NLaeuUpMUiYXkzP590gsJgUGNq/Mi91rWR0b4OXCp4OaMuiL7fx56DIeLhre7d+Q1Cw9TyzcyfFYc2nEhGUHWLglism96tKmuvVyiyv2XWT9iXicNWre6d8A9V0S3TvxdXdm1sBGPP7lDn7YEU01f3OT7xOx1wjwcuHF7rWKdH690cTqo1fI0hup4OGMj5uWs/Hp7DqXyL7oZBqF+fDeQw3t/pWcEEKUZacdpAUamNugtavSzt5hFNlDTSvz3t/HiU7MYMuZBDrULDvLZpdmkgAXs9QsPV9vOcefhy5bktab3VsnkHf6NcgzsWsZUYGPHm3Cs0v2smx3DBq1muOxqRyPvUaglwuPtghj4ZZzHL6YymNfbGfcvTV5rmtN1GoVy/fG8PLPBwEY27WGTX6bb1fDnxEdIvhiU1SuUeDGYb50v167XFCXkjN5dsk+9pxPuu0xJ65co2kVPx5tWaVQ1xBCCHFnRpPC2esjwDWD7J8AlxVuzhr6Ng7l2+3n+XHnBUmAHYQkwMVs/I/7WXPcvOCEk1pFq2oVqBnoRaivG1X9PehSKwAnze0rUe5vWAm9sTHjl+1nyc5oAHzctHw7vBW1gr0Y0rYq7/9zgh93XWDOf6c4eimVhpV9+ODfkwA82DiEUZ1vX99bUC/2qMXZ+HSiEtKJDPLiWraeLaevsmjLuUIlwGuOXeGFnw6QnKHHy8WJRmG+XE3XkZyhI9jHlZZVK5ClN/L1tvNM//MYnWoFUMnHLd/nT83ScygmhZYRFdDe4T4LIUR5F5OUQbbBhLOTmsp+7nd/QTEzmAysOLYCgH51+uGkLr0py6Mtw/h2+3n+PRrL1bRsKnpKhw17K72fplLgSmoWa6+vtja9X3161a+En4dzgc/Tt0koOoOJl385iLuzhsXDWlAr2NygvKKnC+8+1JCm4X68tuIw/x69wr9HrwDwVPsIXu1Vp0ilCbdycdLw1dAWlp8vJmfSceY6tp29yrHLqdSp5H3XcyiKwpbTV/ly81nWn4gHoEGoD58OakJ4xdxrzxtNCgdiUth/IZlXlx9i4dAWdy2FUBSFPw5e5s0/jhJ/LZtGlX2YNbCxQ9S1CSGEI8opf6jm73HXuSElIduQzcCfBwKQNikNJ+fSm7LUC/GhYWUfDsaksHzvRUZ0rGbvkMo9GRIrRisPXEJRoFm4H4+3Ci9U8ptjYIsw/nyuPf+O70iTKn65n28extJnWlv6Nk7uVYfXHqhr0+Q3L6G+bvSoZ148Y/GWc3c9/lBMCr0+3sz/vtrB+hPxqFQwtG1Vfh7VJs/kF8yT9N5/uCHOGjXrTsSzfO+d+yPHJGUwdNEunl2yj/hr2QAciEnh/o838dXmKLL0xoK9SSGEuBO1Gjp1Mj/Upfe/VUfqAAGgVqnpFN6JTuGdUKtK733N8WgLcwnfkl3RpbarRVmiUsrZn0Jqaio+Pj6kpKTg7X330cqiePDTzRyISeHNB+vxRJuqxXqtHOnZBhLSsm+bTBaHXecSGTB/Gy5OarZNuocKt0n0D1xI5n9f7eBalgE3rYaBzSvzZPuIfMf62brTvP/PCdQq6BgZwIBmYdxbNxAXpxtrxO+LTuKpr3dzNV2Hs0bNmC416NcklNd+O8zGk+bRZie1inqhPjQP9+PJ9hGE+ua/pEIIIcqql346wE97Yhh3b03G3Rtp73DKnLRsAy2n/0eGzsiyZ9rQMqKCvUNyaMWdr5Xe7xMcXFRCOgdiUtCoVfRqUKnEruvh4oSHS8n+sTYP96N+qDeHL6ayZGc0Y7rUyHXMzclvi6p+LBjcvMAj4s90rMahmBT+PhLL+hPxrD8Rj5+7lsdaVuF/rcM5GJPCuKX7yNKbqBfizSePNaHa9ZnMXw9rwfc7ovlk7SmupGZz4EIyBy4k8/fhWH4e1aZAdcVCCFEWOVILtLLI08WJ3g1DWLr7Aj/ujJYE2M5K/3cKDur3/ZcAc+cE/zJe7K5SqRjW1tzn8Ntt5zl/Nd3ynM5g4vcDl6yS38XDWhaqHMRJo2b+4GasfaETY7pUJ9jblaQMPXPXn6HDzHWM+n4PWXoTXWoFsOyZNpbkNyfG/7UOZ/uke9j0chc+erQx1fw9uJicyRNf7SQpXVf0GyGEEKWU3mji5PVORTUDvewcTdn1aEtzP/4/D13mUnKmnaMp3yQBLgaKovDbAXOd6oONQuwcTcl4oFEl/D1diE3NotP76xn4+Tam/n6ENjPW8NySfVbJb1FHqKsFePJSj9psfqUL8//XjDbVKmI0KSgKPN6qCl880fy211CpVIRVcOfBxqF8M7wlwd6unIpLY9jiXaTLMpVCiMJIT4eAAPMjPf3uxzugXecSSdcZqejhTE0HGQHO1GfSeH5jGs9vTKa+bCSLjcN8aVm1AtkGE9NlUSm7kgQY82++e6OT+GFHNAlp2UU+35FLqZyNT8fFSU336xPEyjoXJw2LhragY2QAKhXsjEpk8dZzXE3XEejlwnNda9gk+b2Zk0bNffWDWfJ0a/4d35Hvhrfi7b7179hW7maV/dz5ZnhLfNy07L+QzEPztrI3+va9iIUQ4rYSEsyPUmrtMXPHoi61A4t98nR+mRQTB64c4MCVA5gUk73DsQmVSsXUPvVQq8yjwFtOl97PTGlXrmuAoxLSeXPlEXZEJZKhM3cG+PtILN882bJI5/1tv3n09946QXi5aoscZ2nRoLIP3zzZkkvJmSzfG8O5qxl0qxvEPbUD852UFlZkkBeRQQX/2i4yyItFw1rw5OJdHI+9xkPztvJoiypMvK82Pu7Wf3YHY5LRGUw0ryp1W0KIm7i5weHDN7ZLobXX+9XfUzvQzpHc4Orkyr//+9eyXVbUDfHmiTZVWbz1HFN+P8Jfz3eQPvV2UG67QCQkJvG/bw5x7HIqAL7uWq5lGTCaFH4d047GYb6FOn/ctSzunbWB1CwD8//XjPvqF251NFGyrqZlM+Ov4/y8JwYwf021YnRbS7/hmKQMun6wAZ3RxMPNKjO1Tz08S3iyoRBCFIeohHS6fLAerUbF3te7lauBG3tJydTT9YP1XE3X8dr9dXiqg/QFvlVxd4Eot79yfLvtHMcup+LjpmXl2Pbsfa0bfRuHAvDp2lOFPu+bK4+SmmWgfqg399ZxnN+kxZ1V9HThgwGNWPp0a9ydNey/kGxZpAPgy01R6Izmr+B+3hNDr4823XHpZoA/Dl7i+R/3cSExo1hjF0KIosgZ/W0ZUUGS3xLi46bllftqAzDnv1Py/4QdlNsE+LP1ZwCYfH8dGlT2Qa1WMbpLdVQq+O9YHEcupeT5uqR03W0nS609foU/Dl5Go1bxbv+Gxf61v7C9VtUq8ngrc7PyT9edRlEUEtN1/LjLvAz1i90jCfV1Izoxg4fnb+WFZQeITcmyOkeGzsDLPx9g7A/7+G3/JV746cBtm55fTslk+p9H2XpG6sCEKLV0Opg61fzQlb6OMmuPm1cP7VrbseasGEwG/jz5J3+e/BODqexNUn64WWWah/uRlm3g+R/3oTeWjTrn0qLcZmjZehOtq1VgQLPKln3VAzx5oKG5a8Nn607nes2e84m0e28trd9Zw8drTlklwmnZBl5bYa4BG94+gvqhPsX8DkRxGdGhGs5OavacT2L72US+3nrO0lt4TJcarHq+A/2bhqIo8MveGDp/sI7Xfz3M7NUn+ei/U/T5dAvLdsegUoGzRs3OqER+3Z979bqVBy7R48ONfLEpiiELd/L34Vir5xVFISYpg98PXOLtP47y7fbzGE3lqmJJiNJBr4dp08wPvd7e0RTItSw9O84mAo5V/wvmpZAfWPIADyx5gGxD0SeoOxq1WsWHjzTGy9WJvdHJzPnvpL1DKlfsngDPnTuXiIgIXF1dadasGZs2bbrj8Rs2bKBZs2a4urpSrVo15s+fX6jrap3UvNOvgaXGM8eYLtUB+OtwLKeuXLPsPx13jScX7yZDZ+RatoHZq0/SceY6Jq84xKTlBxm2aCeXUrIIq+DGeFlBp1QL9HblkebmXo0frj7J19vOATCqc3VUKhU+blpmD2zMitFtaR7uR5bexLfbz/PxmlN8+N9JTselEejlwvdPtWJct5oATP/zGCmZ5v8Yk9J1jPtxH88u2UdqlgE/dy16o8LYH/ay6tBlUrP0fLnpLJ3eX0/799bx3JJ9fLk5itd/Pczo7/eQqZOlnIUQtrHpVAIGk0K1AA+q+pfcCqL5oVapaR7SnOYhzcvEUsh5Cavgzrv9GwIwd/0Ztt7SFUJvNBGVkM7+C8kYZITYpuw6CW7p0qUMHjyYuXPn0q5dOz7//HO+/PJLjh49SpUqVXIdHxUVRf369RkxYgTPPPMMW7ZsYfTo0SxZsoSHHnooX9fMKaqe+fteXurdJM9jnvl2N/8cuULViu6M6FiNttX9efyL7VxKyaJxmC9D21blozWniErI3e/xmydb0jEyoGA3QjicmKQMOr+/HsP1Edfwiu6sfaEzmlvaAymKwr9Hr7D97FUMRgWDScHXXcvw9hH4e7qgM5jo+dFGzsSn87/WVagV5MUH/54kJVOPWgVju9ZkdOfqvLr8EMv3XUSjVuHqpCb9epLrpFZRN8SbWkFe/Lb/EjqjiUaVffjwkcbEXcvm6KVUnDQqHm5WGXdnmZQnhF2kp4Pn9d65aWng4ViJ5J28sOwAv+yNYUSHCCbfX9fe4ZRbk5YfZMnOC3g4a6jk64YKyDIYuZScZfnmL8DLhf5NQnm4WWVqFqLrUWlT3JPg7JoAt2rViqZNmzJv3jzLvjp16tC3b19mzJiR6/hXXnmF33//nWPHbjSPHjlyJAcOHGDbtm35umbODU1OTsbHJ+8yhVNXrjHg820kZ1h/lVXN34OfR7WlgoczeqOJlQcuWfr9umjV1Azyokstx/oKSRTeiz8dsHSFeLtvff7XOrxQ59l6OoFBX+6w2lc72Ivp/RrQLNwPAKNJ4ZVfDlquVzPQkyfbR/Bg4xBLYrvrXCIjvtmd63MJUNnPjen9GtBJfvkSouSV0gQ4KiGdfnO3kJyhZ8mI1rSpXtHeIZVbmTojfT/bwombvnnO4apVo9WouZZ1o+xyRv8GPNYy90BhWVJmE2CdToe7uzs//fQT/fr1s+x//vnn2b9/Pxs2bMj1mo4dO9KkSRM++ugjy74VK1YwcOBAMjIy0Gpzz17Nzs4mO/tG7VBqaiphYWF3vaHXsvT8tDuGxVvPEZ2YQYCXC8tHtSWsgnth37IoZc7Gp9Hzo01U9HBm7YudcdVqCn2u5380T4jzcdPyQvdIBrWskmuSpMmk8Ov+iwR4udC+hn+u8hww/4f19De7ORWXRqivG3UqeXP0UgqXrk/E69cklBn9GxQpViEKYv2JONYdj2NU5xoE+5SdXq0FUgoT4DXHrjDux/1cyzZQtaI7qyd0kl60dnYtS8/RS6mYFFBQ0GrUVKngTqCXC3qjwroTcfywI5oNJ+PxcnVi3Yud8fd0sXfYxaa4E2C7fWeakJCA0WgkKMh61mlQUBCxsbF5viY2NjbP4w0GAwkJCVSqVCnXa2bMmMG0adMKHJ+Xq5Yn20cwpG1Vdp9LJMLfg0DvcvqPezlVLcCTf8Z1xN1FU+SE8r2HGtK9bjBtqlekgodznseo1Sr6N62c53M5Ivw9+Hd8RzL1RsvIcHq2gVn/nmTx1ihW7DMn0K/2qlOkeIW4m5QMPW/+cZRf9pq/tTgQk8JPI9tIEuXgFEXh4zWn+fD6hKvm4X7MfbypQ/65ZeozuffbewH4b/B/uGlL5yIj+eXlqqVVtbxH4Z2dVPSoF8y9dYLo8+lmjlxKZda/J5nRv0EJR1l22P0Tf+sol6IoeY583en4vPbnmDRpEikpKZbHhQsXChSfRq2iVbWKkvyWU1X9PQj0KvqfvatWw/0NK902+S0IlUplVe/r4eLEG73rMu9/zQD4anMUx2NTi3wdIRZviWLS8oOcjU+z7DOZFFYeuES3Dzfwy15ztxM3rbl39gf/nLBjtOJuTCaFN347Ykl+n2gTzg8jWjvs/28mxcTWC1vZemFrmVkKuag0ahVTetcD4Mdd0bdt2Sruzm4jwP7+/mg0mlyjvXFxcblGeXMEBwfnebyTkxMVK+b9W5OLiwsuLmX3KwIhcvSoF8x99YL5+0gsr604zLJn2qBW3/6XSSHu5Gx8GtP+OIqiwE+7YxjcJpwWVSvwydrTlhU0qwV48P7DDYm/pmPkd3v4fONZWlWr4HD9ZIX1PAOVCt56sPDzGkqKi5MLKx5ZYdkWZi0jKvBAw0r8cfAyb648yo9Pt77jwKHIm91GgJ2dnWnWrBmrV6+22r969Wratm2b52vatGmT6/h///2X5s2b51n/K0R5M6VPXTycNew+n8RPewr2bYewndNxaSzbdYENJ+O5nJJ524VQHNlXm6NQFPB2dcJgUli05Ryjv9/LscupeLo4Me7emqx6rgPNwitwX/1ghratCpi7ClxOybRv8MLKtSw9zy3Zx897YtCoVcwe2Mjhk18AJ7UTfWv3pW/tvjippcvNzSb1qoOLk5odUYn8sjd3n3lxd3b9RE2YMIHBgwfTvHlz2rRpw4IFC4iOjmbkyJGAuXzh4sWLfPPNN4C548Onn37KhAkTGDFiBNu2beOrr75iyZIl9nwbQjiMSj5ujO8Wydt/HmPGX8eJSjAvr+npomFgizCblHOIvF1KzmTZ7gv8dSg210xuL1cnHm0RxnP31HSIpWYVReGfI1eoEehJjUDPXM8npussHUk+H9wcvdHEO6uOcf5qBkPaVuWZjtXwu6WcZ1Kv2uw+n8jhi6m8sOwA3w1vJd9A2JnJpLBi30Xe/fs48dey0WpUfPJYE+6rn3u+jChdQn3dGNmpOh+tOcVLPx/galo2T3esJiPBBWDXNmhgXghj5syZXL58mfr16/Phhx/SsWNHAIYOHcq5c+dYv3695fgNGzYwfvx4jhw5QkhICK+88oolYc6P4p5VKIS9GYwmHvhkM8djrZOwqhXdWfJ0ayr5lO2JJDdLSMtm97kkdp9L5FRcGk93rEa7Gv42vcb5q+nMW3+GX/bGoDea/znValQ0qeJHYrqOcwnpln7S5gmKtbmvXiVcnNTFliBm6Y24OKnz/M9QURTe/es4n288S6CXC+te7IyHi/VYyMdrTjF79Unqh3qzcmx7VCoViqKgNyo4O93+i8Oz8Wnc//FmMvVGpvSuy7B2ETZ/bw7JAbtAxF/LZtR3e9h9PgkwT6Cd3q8+bavb9vNfnIwmI5uizYtjdajSAY1autvcTG80MeX3I/ywIxqAh5pW5p3+9XFxKhv3qcy2QbMXSYBFeXAuIZ0lu6IxXE/I/jkSS0xSJlUruvPj023KbLuquNQs1h6PY9e5JPacT+Tc1Qyr54O9XVn7YqciLRry9+FYlu2+QGK6juQMHdGJGeSsUN0qogIDmofRrU4QPu7mkV6dwcTm0/G8ufJornhctWpaVK3AmC41aH2b2d/5lZZtYNXByyzbfYHd55PwcNYQVsGdqhU9eKBRJXrWr4RGreKzdad5/6bJauPurcm4m1avzNIbaf/eWhLSdHz0aGMebBxaoDi+3XaO1387gouTmj+fa0+NwLLfsN/REuAsvZHHvtjOvuhk3J01PNu1Jk+2r1rqEqN0XTqeM8z3NW1SGh7O9v/FwtEoisI3287z5h9HMZoUHmhYiU8HNbV3WDYhCbCNSQIsyqOYpAweXbDdkgS/P6ARjcN8HbL1UUFl6Az8e+QKy/ddZPOpeEsyCqBSQa0gL5qF+7H+RDwXkzMZf28kz99bs1DX2nAynmGLdlpdA6BzrQDGdqlB86oVbvvabIORLzdFMW/9GdKyDbmeb1m1Ai/dV4sWdzhHUrqOC0kZNKzsa7X/x53RvPnHUTLusEx2jUBP2lWvyNfbzgPQrW4Qq49ewU2rYcNLnS2dAJbuiuaVXw4R4uPKhpe7FPgzoigKQxbtYuPJeBpW9uGXUW3LxOfsjjIyoEUL8/auXeBuv37xiqIwYdkBVuy7iI+bluWj21I9IHeZS2mQoc+gxRfm+7prxC7ctdKH/3Y2noxn6PV/m5Y+3fq27dRKE0mAbUwSYFFeXUjM4LEvzEkwgIezhpYRFXj+3kgah/naN7gCMpoUtp25yvJ9MfxzONaydDRA4zBf2tfwp1lVP5pW8cPHzTwS+8fBS4z9YR9uWg3rX+pMUAFbP52JT6PvZ1u4lmXggYaV6NMoBD8PZyr5uFLZL///MRtNCpl6I1l6I4npOr7eeo6fdsegM5rQqFXM6N+Agc3Dcr0uS2+k50ebiEpIZ3j7CCb3qoNareLnPTG8+NMBwLxa5cPNK9O7YQjZBhMXEjPYcz6Jb7adI/WmVaSe61qD8d0i6T9vK/uik3m0RRjvPtSQ81fTeWLhTs5fzWByrzqM6FitQPcoR2xKFj3mbCQlU0+Hmv48f0/NO/5yIIpGZzC3CNOoVXy+8Qwz/z6BRq3i2ydb0tbGJT/CcU1ecYjvd0TTINSH38a0K/U1+JIA25gkwKI8u5icybt/HWfTqXjLksoVPJz5b0Inm/QoLgmKovDMt3v49+gVy74qFdzp1ySUfk1Cqeqf99ekiqLw0Lyt7I1OZkCzyrw/oFGuY4wmBbUqd1/xlAw9/eZu4WxCOs3D/fh+RCubfp0cm5LF238e5Y+DlwGY0C2SZ7vWsIpj3vozvPf3ccvP9zeoRPd6QYxfuh+TAkPbVmVK77p51v1ey9LzzbbzLN11gQcaVuKlHrVQqVTsPpfIw/O3oVbBiA7V+HrbObL0Jip6OLPupc54F2HC3l+HLjPmh72W0fIWVf147p6adKh5++W6Y5Iy0KhV5apOvTCyDUa2nrnKllMJbDlz1dKW7mZv9a3P4FLQ6UHYztW0bDq/v55r2QY+GNCIh5vdeWElRycJsI1JAiyEeXb4sdhUxi/dz8krafRrEsqHjzS2d1j58vfhWEZ+twdnjZqHm1emf5NQmoX75Wv2897oJPrP3YpKBSvHtqd+qI/luU2n4pmw7AAalYoBzSszsHkYLlo1fx2KZcnOaI7HXiPEx5XfxrYnwMv2PUkVRWHmPyeYt/4MAI+1DOOtB+vjpFETdy2Lrh9sIC3bQP+moaw8cMky4Q5gYPPKvNu/YaFGfEZ9t4e/Dt/or962ekXe7d+QKhWL/nXz2fg0Fmw8azVBsF2NirxyX22rMo5TV67x8drT/HHwEm5aDb+MakudSkX79/lKahaBXi5lalZ8VEI6S3ZG8/OeGBLTdXkeo1LB0x2qMUlWgyyXPt9whhl/HSfI2zzBtSjzHexNEmAbkwRYiBv2RSfRf95WFAUWD2tB51qB9g7pjrINRrrN3kh0YgZjulTnpR61C3yO55bs4/cDl/B2deKpDtUY0qYqC7dE8fHaU9z6r6FahWUE09PFiaXPtKZeiE/uk9rQt9vO8cbvR1AUuKd2IJ8MasK034+ydPcFGlX2YcXodmw/e5Vnvt3DtWwD9zesxMePNkFTyK87zyWk0/uTzQBMvr8Oj7QIs3nSeCU1i/kbzvD99mh0RvPX9VUquOPp4oSzk5oDMclW976ynxu/j21fqG8lDsYk897fx9ly+ioPNg5hziONiz8JLoEa4PkbzvDuXze+AQjydqFLrUDa1vCnVUQF3Jw1GI0KarXKUvZT2mXqM+nzYx8Afn/09zK/FLItZBuM3Dt7AxcSM3n+npqM7xZ59xc5KEmAbUwSYCGsvbnyKAu3RBHq68Y/4zvi6eK4IwY5ZQC3a9+VH1dSsxiycKelTZyTWmVpU/ZYyyq0rV6RZbsvsOlUAgBNqvjSu2EIDzSqVGJ9lP8+HMvzP+4j22CidrAXJ65cQ1Hgl1FtaBZurqU9fzWdfdHJ3N+wUpEnmSWkZeOq1RT7n/2FxAw+XH2SFfsv5vplo0e9IIa2jeCVXw4SnZhBm2oV+WZ4y3y/t2OXU/l03Wn+vF5GkuPWLhfFopi7QKRk6Gk9Yw2ZeiOdIgP4X+twutQKwKmMTy6ULhCFs+rQZUZ/vxd3Zw2bXu5CRc/SuYqeJMA2JgmwENYydAa6f7iRmKRM7m9YiRn9GxSp9rO4xF3Losv760nXGZk1oBEPFaG+zWhS+PPQZT767yRn4tNx02p4p399+jW5cc4rqVmYFMVu9ah7zicy/OvdllrtPo1C+PixJnaJxdYup2RyKTmTa1kG0rINRAZ5ERlkbpd28so1+n22hXSdkR71gqgd7I3eaMJJoybEx5UQXzcCvFxQXx/VjUpIZ/HWKLafTQTMJQD9moRSM9DLUjP9yWNN6N0opPjekNEIm8z9aunQATS2bTeW87V27WAv/nq+Q5kq67gTg8nA0sNLAXik/iOyGlw+KYrCg59t4WBMCs90LL3lMJIA25gkwELktulUPE8s3ImimBdreO3+OvRpFFJs/9EqikJMUib+ni64OeedLCiKwoKNZ9kRZU5sLiZlcuLKNRqF+bJiVFubzHA2mhQ2noqnur+nTWpebe10XBrDv95Fhs7Ir2PaEepbPr4C/vdILE9/u6dAr9GoVdxXP5ixXWpY6oen/3mULzZF4eKk5senW9Okil9xhFusDEYTHWeu41JKFjMfasjAFrk7hAhxq3Un4hi2aBeuWjUbX+5SKlcBlQTYxiQBFiJvW04n8PqvhzmbkA7AAw0r8cljTWyaBGfpjfy2/yKLt57n2OVUfNy0DG4dzhNtw3P9A/3Rf6f48L+TVvtUKvh5ZFuahZe+RKawTCaFLIOxVE9mKYz/jl7hv2NX0GrUaDVqsg1GLiVncik5i6vp2ZbjXLUaejcKYXDrcEJu+QXBaFIY8c1u1h6Pw91Zw6wBjejZoHQtA5zzdXYFD2e2TuyKq7Z0LWYh7ENRFEubw2HtqjKldz17h1RgkgDbmCTAQtxetsHIFxvP8tGaU+iNCt8Nb0X7mrbpI3ooJoWhi3ZyNY/Z684aNY+1DGN8t0h83Z3586C5hRbAqM7VqXp9dDbC35OWEdJPVuTftSw9o77by+bT5pru5+6pybh7ahb5GwRFUUjO0OPn4Qx6PSxYYH7i6adBa7sSogHzt7LrXBJju9TgxR61bHbe0sBoMrL3svnfgaaVmspSyAW0+VQC//tqB85Oaja+1IVgH1cURUFRcPgewalZepZvO8WwrvUkAbYVSYCFuLtpK4+waMs5mlbx5ZdRbYs8CmwyKfSbu4UDMSmE+rrxRJtwBjQPY2dUIgs2nmFvdDIAfu5ahraNYN6G02TpTQxvH8HrD9S1wTsS5ZnBaGLGX8f5anMUAB1q+jO1T71Cr5BmNCmMW7qflQcumSfZtQm97SS4q2nZ+Lo7F6pLx+GLKTzwyWac1Cq2TOxa4MVbSjuZBFc0iqLwyOfb2XkukcggT1SoOJ+Yjt6oUNHDGX9PFxpX8eXNPvUcZkLl/gvJfLHpLP8dvUJmehoX5gwstnytfH2nJoTIl1Gdq7NkZzR7o5PZcDK+yO3RVh68xIGYFDycNfw6pp2lj+599YO5r34wW04nMG3lEU5eSbOUPXSuFcCrpXTyhnAsTho1rz9Ql7qVvJm04hCbTiXQ48ONPNk+gme71sCrAJM+FUXhjd8Os/LAJQDm/HcKN10Wz9xyXFq2gel/HmPJzugCTWDcGZXIqkOXibuWxeGL5gUuejWoVO6SXzAvSBPuE27ZFgWjUqmY0D2SRxds5+SVNKvn4q5lE3ctm6OXU2lU2YdHWlSxU5RmmTojs1ef4KvNUZbWk9UCPLhQjNeUEWAhRJ5yJhA1quzDr2PaFfo/oCy9kXtmbeBiciYvdo9kbNeaeR6nN5r4Ztt55vx3kvCK7vwworVDdqMQpVtUQjpv/3GUNcfjAAj2duWDAY3yXerz4eqTfLTmFCqVeTW+Pw5exk2XxbEPHwYg7WoyBxL1vPLLQcuy4wDLnmlz1/KdLacTeGLhToymG/8tq1Xw25j2NKhcvP2nRdm16tBl4lKzqOrvQdWKHrhqNSSkZbPywCU+33iWEB9X1r7Y2W715Xujk5iwdD/nrmYA0LdxCE91qEaYJ/j6+koJhK1IAixE/iSkZdPhvXVk6o18NaQ599QJKtR5Fmw8wzurjhPs7cq6FzvftutDDoPRhEqlKvTCDkLkx7rjcUxdeYTz1//THdq2Kq/cV/u2n88svZHP1p3mk7WngRtLDc/57ySfrzpkSYDrjP+ZTGfzaG2orxs1Aj3ZcDKeJlV8WX6HcqIz8Wn0+2wLqVkGOkYG0KVWAMHertQM8qJGYOFKNYS4kyy9kS4frOdyShavP1CX4e0jbHbuTJ2Rvw5f5vcDl4gM8mLifbXzrDu+mJxJzzkbSc0yUMnHlXf6NaBLbfM3jsWdr0kJhBAiT/6eLgxpW5X5G87wwb8naV/THxengo0QxF3LsiQML3SPvGvyCzhMLZoo27rUDqRVtQrMWHWcb7efZ/HWc2w8Gc+7DzW0GqlVFIXfD1xi5t8nuJhsHtF9/p6aDG4dbtlWZaTDhzfOrdWoeLhZGK/2qk2mzkin99ezLzqZf47Ecl/93F0okjN0PPX1blKzDDSt4suCwc2k24Modq5aDc/fU5OJyw8xd91pHmkRVuTFcNKyDbz/93GW773ItWwDAOtPxKPVqHKt3Gk0KYz/cT+pWQYahfny7fCWJfqtn4wACyFuKzFdR6f313Ety0DP+sF8OqjpXUdm465lsfFkAqsOXWbTqXj0RoU6lbz549n2MqorHNKGk/G8/PMBrqSa26sNalWFh5qGsuZYHH8fjrW0BgzxceWVnrVz98i+aSW4rKQUnL29rEa7Zv97go/Xnqaavwf/jO9otbqdwWjiiYU72XrmKqG+blY18uVdliGLR39+FIAfH/4RV6fyVwdd3AxGE90+3EhUQjoTukXy3D15l6jlx6XkTJ5cvMuyymZYBTdaR1Tkpz0xALzbvwGPtrxRa/zxmlPMXn0STxcn/nyuPeEVrSc5Shs0G5MEWIiC2XI6gWGLdqEzmnisZRXe6Vc/19e4FxIz+HTtaXaeSyTqerKQIzLIkw8faUy9EKlhFI4rJVPPu38dY8nO3NNu3J01jOpUnREdq+U9MnuXpZCvZenp/P56rqbrLKUTOd7/5zifrTuDh7OGX0a3pXaw/L+UQ7pAlIyVBy7x7JJ9aDUqfNy0ZOiMuGo1PNQ0lKHtIgj1dePklWt8vfWcpad2oJcrQd4u1AzyokGoD05qFc8v3U/8tWz8PV34YEBDOtYMQK1WWermNWoV7/ZvQLUAT66kZvHskn0YTQofPtLIahXOHJIA25gkwEIU3F+HzH15TQqM6VLd6qssk0mhx5yNnIozzzJWqaBOsDfd6wVxf4NK1Ly+xK0QpcH2s1d547fDxCRl0rlWAD3qBdO1duCdO0XcJQEGWLwliqkrj+LspObjRxtzX/1KrD8Rx9BFuwD4dFATHmhYjMs1l0J6o57F+xcDMLTxULQamRRbHG5uU3krjVpFrSAvjl5Ozde5agd78eWQ5lT2u7GypqIovLDsAMv3Xcx1fN/GIcx5NO8OKZIA25gkwEIUzpKd0UxafgiApU+3plW1igCsPX6FJxfvxsvFiY8ea0yz8Ar4uMl/VKJ0UxQl/51P8pEA640mRn23l/+OXUGlgnH3RLJ4axRJGXoGtw7nrb71bRi9EAWTlm3g1JVruGo1uDtrOBOfxlebo9hy+ipg7kbSvW4wj7YMQ6tRE38tm0spmRy7fI3DF1O4kJhBt7pBvD+gUZ51xDqDiakrj7D97FUMRgWD0UR4RQ8+f6LZbet+JQG2MUmAhSi8ScsPsWRntNWM9kc+38aOqESe6ViNSdK3V5RH+UiAwVxvOeX3I3y/I9qyr36oN7+MalvgCaZClISjl1I5GJNM+5r+VqO6tzKaFJvP8ZAuEEIIhzH+3pr8uu/i9RntV6jk48qOqESc1CqGtqtq7/CEcGhOGjVv961PiK8b7/9zAi8XJz4b1FSS39swKSaOxR8DoE5AHdQq6RBT0uqGeFM35O7JZ2mc4CwJsBAi3wK9XXmqQwSfrD3NzH+OExloru/t0yiESj5udo5OCMenUqkY06UGnSID8HXX3nFUrbzL1GdSf565NEQmwQlbkwRYCFEgT3esxvc7ojkbn87ZeHPHhxEdq9k5KiHszD9/K8nlqB8qXVHyw9+9YPdViPySBFgIUSBerlqe7VqDaSuPAtChpj91Kkk9vSjHPDwgPt7eUZQ5Hs4exL8k91UUDymoEUIU2KBWVQivaP7qdmSn6naORgghhCgYGQEWQhSYi5OGZc+0ISYpg2bhFe7+AiGEEMKByAiwEKJQgrxdJfkVAiAzEzp3Nj8yM+0dTZmRZcji8eWP8/jyx8kyZNk7HFHGyAiwEEIIURQmE2zYcGNb2ITRZOSHQz8AsOCBBXaORpQ1kgALIYQQReHiAsuW3dgWNuGscebDHh9atoWwJVkJTgghhBBCOJTiztekBlgIIYQQQpQrUgIhhBBCFIXBACtWmLf79QMn+a/VFkyKieiUaACq+FSRpZCFTcnfUiGEEKIosrNh4EDzdlqaJMA2kqnPJOKjCECWQha2J39LhRBCCOGQ3LXu9g5BlFGSAAshhBDC4Xg4e5D+arq9wxBllBTUCCGEEEKIckUSYCGEEEIIUa5IAiyEEEIIh5NtyGbE7yMY8fsIsg3Z9g5HlDGSAAshhBDC4RhMBr7c9yVf7vsSg8lg73BEGSOT4IQQQgjhcLQaLW93eduyLYQtSQIshBBCCIfjrHFmcsfJ9g5DlFFSAiGEEEIIIcoVGQEWQgghhMNRFIWEjAQA/N39UalUdo5IlCWSAAshhBDC4WToMwj8IBCQpZCF7ZW7BFhRFABSU1PtHIkQQogyIf2m1cpSU8FotF8sZUi6Lh2yzNupqakYneW+lic5eVpO3mZrKqW4zuygzp49S/Xq1e0dhhBCCCGEuIszZ85QrVo1m5+33I0AV6hQAYDo6Gh8fHzsHE3pkZqaSlhYGBcuXMDb29ve4ZQKcs8KR+5bwck9Kxy5bwUn96xw5L4VXEpKClWqVLHkbbZW7hJgtdrc+MLHx0c+hIXg7e0t962A5J4Vjty3gpN7Vjhy3wpO7lnhyH0ruJy8zebnLZazCiGEEEII4aAkARZCCCGEEOVKuUuAXVxcmDJlCi4uLvYOpVSR+1Zwcs8KR+5bwck9Kxy5bwUn96xw5L4VXHHfs3LXBUIIIYQQQpRv5W4EWAghhBBClG+SAAshhBBCiHJFEmAhhBBCCFGuSAIshBBCCCHKlTKdAE+fPp22bdvi7u6Or69vnsdER0fTu3dvPDw88Pf357nnnkOn01kdc+jQITp16oSbmxuhoaG8+eabxbY2taNZv349KpUqz8euXbssx+X1/Pz58+0YuX1VrVo11/2YOHGi1TH5+eyVJ+fOnWP48OFERETg5uZG9erVmTJlSq57Ip+13ObOnUtERASurq40a9aMTZs22TskhzFjxgxatGiBl5cXgYGB9O3blxMnTlgdM3To0FyfqdatW9spYscwderUXPckODjY8ryiKEydOpWQkBDc3Nzo3LkzR44csWPE9pfXv/sqlYoxY8YA8jnLsXHjRnr37k1ISAgqlYpff/3V6vn8fLays7N59tln8ff3x8PDgz59+hATE1OgOMr0SnA6nY4BAwbQpk0bvvrqq1zPG41G7r//fgICAti8eTNXr15lyJAhKIrCJ598ApiXL+zWrRtdunRh165dnDx5kqFDh+Lh4cELL7xQ0m+pxLVt25bLly9b7Xv99df577//aN68udX+RYsWcd9991l+Lu9LTb/55puMGDHC8rOnp6dlOz+fvfLm+PHjmEwmPv/8c2rUqMHhw4cZMWIE6enpfPDBB1bHymfthqVLlzJu3Djmzp1Lu3bt+Pzzz+nZsydHjx6lSpUq9g7P7jZs2MCYMWNo0aIFBoOByZMn0717d44ePYqHh4fluPvuu49FixZZfnZ2drZHuA6lXr16/Pfff5afNRqNZXvmzJnMnj2bxYsXExkZydtvv023bt04ceIEXl5e9gjX7nbt2oXRaLT8fPjwYbp168aAAQMs++RzBunp6TRq1Ihhw4bx0EMP5Xo+P5+tcePGsXLlSn788UcqVqzICy+8wAMPPMCePXusPqd3pJQDixYtUnx8fHLtX7VqlaJWq5WLFy9a9i1ZskRxcXFRUlJSFEVRlLlz5yo+Pj5KVlaW5ZgZM2YoISEhislkKvbYHY1Op1MCAwOVN99802o/oKxYscI+QTmg8PBw5cMPP7zt8/n57AlFmTlzphIREWG1Tz5r1lq2bKmMHDnSal/t2rWViRMn2ikixxYXF6cAyoYNGyz7hgwZojz44IP2C8oBTZkyRWnUqFGez5lMJiU4OFh59913LfuysrIUHx8fZf78+SUUoeN7/vnnlerVq1tyBfmc5Xbrv+f5+WwlJycrWq1W+fHHHy3HXLx4UVGr1crff/+d72uX6RKIu9m2bRv169cnJCTEsq9Hjx5kZ2ezZ88eyzGdOnWyasTco0cPLl26xLlz50o6ZLv7/fffSUhIYOjQobmeGzt2LP7+/rRo0YL58+djMplKPkAH8t5771GxYkUaN27M9OnTrb7Kz89nT0BKSgoVKlTItV8+a2Y6nY49e/bQvXt3q/3du3dn69atdorKsaWkpADk+lytX7+ewMBAIiMjGTFiBHFxcfYIz6GcOnWKkJAQIiIiePTRRzl79iwAUVFRxMbGWn3uXFxc6NSpk3zurtPpdHz33Xc8+eSTqFQqy375nN1Zfj5be/bsQa/XWx0TEhJC/fr1C/T5K9MlEHcTGxtLUFCQ1T4/Pz+cnZ2JjY21HFO1alWrY3JeExsbS0RERInE6ii++uorevToQVhYmNX+t956i3vuuQc3NzfWrFnDCy+8QEJCAq+99pqdIrWv559/nqZNm+Ln58fOnTuZNGkSUVFRfPnll0D+Pnvl3ZkzZ/jkk0+YNWuW1X75rN2QkJCA0WjM9VkKCgqSz1EeFEVhwoQJtG/fnvr161v29+zZkwEDBhAeHk5UVBSvv/46Xbt2Zc+ePeV25a5WrVrxzTffEBkZyZUrV3j77bdp27YtR44csXy28vrcnT9/3h7hOpxff/2V5OT/t3evIU32bxzAv9l/amlZarWpJR2gXminRaWgoGGHJ7MDZUqhvijQmB0ICnqTvhA62IjKCEWG7zqQRRiSSrOD0nmiZolirYNWVK4so7Su/wv/7WnNdPY8/3a4vx8Y6G/Xtms/rm3X/dt937PYLBaxzgbnSG29ePEC3t7eGDt2rF3MUN733K4BzsnJQW5u7oAxt2/ftts/9Vd+3DL7TkRsxn+Okf8dANffbd3F78zjs2fPcOnSJZw+fdou9sfmY/bs2QD69oH1pKZkKHO2Y8cO69jMmTMxduxYrF271roqDDhWe57gd2qtvb0dS5cuxbp167Bp0yabWCXU2lD19x7laXX0b9DpdKivr8f169dtxtevX2/9OyIiAvPmzUN4eDguXryINWvW/Ok0XcKyZcusf0dGRiIqKgpTp05FSUmJ9cAt1t2vFRcXY9myZTbf8rHOHPc7tTXU+nO7Blin0yElJWXAmJ9XbH9FrVbj5s2bNmOdnZ3o6emxbn2o1Wq7LYrvX1n8vIXiTn5nHg0GA4KCgpCUlDTo/S9cuBDv37/Hy5cv3XqefvRPau/7B0ZrayuCgoIcqj1PMdR5a29vR1xcHKKiolBYWDjo/XtirTkqODgYw4cP7/c9SmlzMZjs7GxcuHABV69eRVhY2ICxGo0G4eHhaGlp+UPZuT4/Pz9ERkaipaUFq1atAtC3EqfRaKwxrLs+ZrMZVVVVKC0tHTCOdWbv+5lGBqottVqNL1++oLOz02YV+NWrV4iOjnb4sdyuAQ4ODkZwcPC/cl9RUVHIy8tDR0eHdaIrKirg4+MDrVZrjdmzZw++fPliPVqzoqICISEhDjfarmio8ygiMBgMSEtLg0qlGjTeZDLB19f3l6efc0f/pPZMJhMAWOvMkdrzFEOZt+fPnyMuLg5arRYGgwFeXoMfpuCJteYob29vaLVaVFZWYvXq1dbxyspKrFy50omZuQ4RQXZ2Ns6dO4fq6mqHdlt78+YNnj59avMBrHSfP3/GgwcPEBMTg8mTJ0OtVqOyshJz5swB0LfP65UrV7B//34nZ+p8BoMB48ePx/LlyweMY53Zc6S2tFotVCoVKisrkZycDADo6OhAY2MjDhw44PiD/e6Re+7AbDaLyWSS3Nxc8ff3F5PJJCaTSbq6ukREpLe3VyIiImTRokVy7949qaqqkrCwMNHpdNb7sFgsMmHCBElNTZWGhgYpLS2V0aNHS35+vrOellNUVVUJAGlqarK77sKFC1JYWCgNDQ3S2toqRUVFMnr0aNm6dasTMnW+2tpa0ev1YjKZpK2tTU6dOiUhISGSlJRkjXGk9pTm+fPnMm3aNImPj5dnz55JR0eH9fIda83eyZMnRaVSSXFxsTQ1Ncn27dvFz89PHj9+7OzUXEJWVpYEBARIdXW1TU11d3eLiEhXV5fs3LlTamtr5dGjR2I0GiUqKkpCQ0Pl/fv3Ts7eeXbu3CnV1dXS1tYmN27ckMTERBk1apS1rvbt2ycBAQFSWloqDQ0NkpqaKhqNRtFzJiLy9etXmTRpkuzevdtmnHX2t66uLms/BsD6eWk2m0XEsdrKzMyUsLAwqaqqknv37kl8fLzMmjVLent7Hc7Doxvg9PR0AWB3MRqN1hiz2SzLly+XESNGSGBgoOh0OptTnomI1NfXS0xMjPj4+IharZacnBzFnQItNTVVoqOj+72uvLxcZs+eLf7+/jJy5EiJiIiQw4cPS09Pzx/O0jXcvXtXFixYIAEBAeLr6yvTp0+XvXv3ysePH23iHKk9JTEYDP2+Xn/cTmet9a+goEDCw8PF29tb5s6da3OKL6X7VU0ZDAYREenu7pbFixfLuHHjRKVSyaRJkyQ9PV2ePHni3MSdbP369aLRaESlUklISIisWbNG7t+/b73+27dvsnfvXlGr1eLj4yOxsbHS0NDgxIxdw6VLlwSANDc324yzzv5mNBr7fU2mp6eLiGO19enTJ9HpdBIYGCgjRoyQxMTEIc/lMBGF/KQZERERERE8/KeQiYiIiIh+xgaYiIiIiBSFDTARERERKQobYCIiIiJSFDbARERERKQobICJiIiISFHYABMRERGRorABJiIiIiJFYQNMRERERIrCBpiIyEVlZGRg1apVzk6DiMjjsAEmIiIiIkVhA0xE5Ib0ej0iIyPh5+eHiRMnYsuWLfjw4YNNTFFRESZOnIiRI0di9erV0Ov1GDNmjHMSJiJyIWyAiYjckJeXF44cOYLGxkaUlJTg8uXL2LVrl/X6mpoaZGZmYtu2bairq0NCQgLy8vKcmDERkesYJiLi7CSIiMheRkYGLBYLzp8/P2jsmTNnkJWVhdevXwMAUlJS8OHDB5SVlVljNm7ciLKyMlgslv9TxkRE7oErwEREbshoNCIhIQGhoaEYNWoU0tLS8ObNG3z8+BEA0NzcjPnz59vc5uf/iYiUig0wEZGbMZvN+OuvvxAREYGzZ8/i7t27KCgoAAD09PQAAEQEw4YNs7kdv/AjIurzH2cnQEREQ3Pnzh309vbi0KFD8PLqW8c4ffq0TcyMGTNw69Ytu9sREREbYCIil/bu3TvU1dXZjI0bNw69vb04evQoVqxYgZqaGpw4ccImJjs7G7GxsdDr9VixYgUuX76M8vJyu1VhIiIl4kFwREQuKiMjAyUlJXbj6enpmDVrFg4ePAiLxYLY2Fhs2LABaWlp6OzstJ7qrKioCLm5uXj79i2WLFmCefPm4dixY+jo6PjDz4SIyLWwASYiUojNmzfj4cOHuHbtmrNTISJyKu4CQUTkofLz85GQkAA/Pz+Ul5ejpKQEx48fd3ZaREROxxVgIiIPlZycjOrqanR1dWHKlCnIzs5GZmams9MiInI6NsBEREREpCg8DzARERERKQobYCIiIiJSFDbARERERKQobICJiIiISFHYABMRERGRorABJiIiIiJFYQNMRERERIrCBpiIiIiIFOW/sHmeS+AufUoAAAAASUVORK5CYII=", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cross_correlation(x_full, y_full, TRUE_LAG_FULL)\n", "plot_cross_correlation(x_full, y_full, HISTORY_DURATION_FULL)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.2. **MI Application: The 2D Heatmap Search**\n", "\n", "Since we can't easily disentangle the two effects from one another, a more robust solution is to search for both parameters simultaneously. We will compute the MI over a 2D grid of possible `lag` and `window_size` values." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Starting 2D sweep...\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "7dff3fcabe9d4a63b2d784843868f99d", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Lag Sweep Progress: 0%| | 0/11 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Pivot the data for the heatmap\n", "heatmap_data = results_df_2d.pivot(index='window_size', columns='lag', values='mi')\n", "\n", "plt.figure(figsize=(10, 7))\n", "sns.heatmap(heatmap_data, annot=True, cmap='viridis', fmt=\".2f\")\n", "plt.title('MI vs. Lag and Window Size')\n", "plt.xlabel('Lag (Timepoints)')\n", "plt.ylabel('Window Size (Timepoints)')\n", "plt.gca().invert_yaxis()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The heatmap we obtained is a rich tapestry of information, but just looking at it doesn't immediately tell us the answer. We will be defining and using our function, `analyze_mi_heatmap`, to perform a sophisticated topological analysis that goes far beyond simple peak-finding. But to understand why this function is necessary, we must first appreciate the hidden complexities of this map.\n", "\n", "**The Allure of the Brightest Block (And Why It's a Trap)**\n", "Thinking about what we can do with this heatmap, one can naively say that the brightest block with the highest MI value must be the optimal one. However, the story is a little bit more complicated than this. Remember, we are dealing with two fundamentally entangled factors: a time delay (`lag`) and an interaction duration (`history` or `window_size`).\n", "\n", "If we only look at lags (like in a simple cross-correlation), we will miss the contribution from the window size, resulting in a blurry, smeared-out peak. If we only look at the window size without correcting for the lag, we won't have the data perfectly aligned, and we might see no information at all.\n", "\n", "This entanglement means a simple 1D slice through our 2D map is like looking at a shadow of a 3D object—you get a distorted, incomplete picture. The brightest point on the map is just the highest peak of a complex mountain range; to truly understand the terrain, we need to understand its geography.\n", "\n", "**The First Clue: Finding the \"Boundary of Possibility\"**\n", "So, if we can't trust simple sweeps, what can we trust? Let's try a clever experiment. What if we fix our `lag` at zero and sweep the `window_size`? We are essentially asking: \"With no delay, how wide must my observation window be before I start seeing any information at all?\"\n", "\n", "In our generated data, the true delay is `30` timesteps and the history is `20` timesteps. This means the complete \"information window\" starts `50` timesteps in the past (`30 + 20`).\n", "\n", "When we run our `lag=0` experiment, we find that the Mutual Information stays at zero until our `window_size` becomes large enough to stretch all the way back and touch this information window. This happens precisely when `window_size = 50`, sometimes with a wiggle room that extends to `window_size ~ 55~65`.\n", "\n", "This gives us our first profound insight: we've discovered a hard physical constraint, the **Causal Contour**. It's a line on our map defined by the equation:\n", "\n", "`lag + window_size ≈ C`\n", "\n", "Where `C` is the value we found (in our case, `C ≈ 50`). All of the true, meaningful interactions must happen on or above this diagonal line. Anything below it is causally impossible. This is our \"Boundary of Possibility.\"\n", "\n", "**The Second Clue: The \"Island of Actuality\"**\n", "Our next clue comes from the heatmap itself. Not all points above the Causal Contour are interesting. We can define a threshold (e.g., `MI > 0.2`) to identify the region where a statistically significant interaction is actually occurring.\n", "\n", "This creates an \"island\" on our map—a region of high MI that represents the actual observed effect. We can visualize this as an irregular contour line. This is our \"Island of Actuality.\"\n", "\n", "**The Synthesis: The Principle of Parsimony**\n", "Now we have two powerful pieces of information:\n", "1. **The Causal Contour:** The earliest possible boundary for the interaction.\n", "2. **The Significant MI Contour:** The boundary of where the interaction is actually happening.\n", "\n", "The naive peak might be deep inside this island, for instance at `(lag=50, window=80)`. But is this the best explanation? It captures the necessary 20 timesteps of history, but it dilutes it with 60 timesteps of irrelevant data. It's an inefficient explanation.\n", "\n", "This brings us to the **Principle of Parsimony (or Occam's Razor):** the most elegant and physically meaningful explanation is the one that is both maximally informative (inside the significant MI island) and maximally efficient (as close as possible to the **Causal Contour**).\n", "\n", "The true answer lies at the \"leading edge\" of the island—the part that first rises from the ocean of noise, right at the boundary of possibility." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.3 Using the Automated Topological Analysis\n", "\n", "The function requires several parameters:\n", "- `results_df`: Your DataFrame with 'lag', 'window_size', and 'mi' columns\n", "- `absolute_mi_threshold`: The MI value threshold for defining the \"Significant MI Contour\" (default: 0.2)\n", "- `contour_rise_fraction`: Heuristic for detecting where MI begins to rise at lag=0 (default: 0.1)\n", "- `radius_multiplier`: Controls the size of the Parsimonious Circle (default: 1.2)\n", "- `true_lag` (optional): If known, the ground-truth lag value to visualize\n", "- `history_duration` (optional): If known, the ground-truth window/history duration to visualize\n", "\n", "#### The Analysis Pipeline\n", "\n", "The function performs three key analyses:\n", "\n", "1. **Causal Contour Analysis**: Examines the MI values at `lag=0` to find where information first rises above the noise floor. This identifies a critical value `C`, representing the Causal Contour line defined by `lag + window = C`. This contour represents the theoretical boundary where the window becomes large enough to capture the causal relationship.\n", "\n", "2. **Significant MI Contour**: Identifies the boundary in parameter space where MI equals your specified threshold. This contour delineates the region where the interaction produces meaningful, statistically significant mutual information.\n", "\n", "3. **Parsimony Analysis**: Computes the shortest \"bridge\" connecting the Causal Contour to the Significant MI Contour. This bridge represents the minimum parameter configuration that achieves both causal sufficiency and significant information. The midpoint of this bridge is the **Parsimonious Center** - the most efficient point in parameter space that balances theoretical necessity with empirical significance.\n", "\n", "#### Console Output\n", "\n", "The function prints detailed diagnostics:\n", "- The estimated value of C from the Causal Contour analysis\n", "- The coordinates of the bridge endpoints on both contours\n", "- The bridge length (distance between contours)\n", "- The Parsimonious Center coordinates (lag, window)\n", "- The Parsimonious Circle radius\n", "- If provided, the true parameter values for comparison\n", "\n", "#### The Resulting Visualization\n", "\n", "The plot provides a rich, multi-layered view of the parameter space:\n", "\n", "- **The Viridis Heatmap**: Shows the complete information landscape across all tested lag and window combinations. Brighter colors indicate higher mutual information.\n", "\n", "- **The Red Contour Line**: Traces the boundary of the \"Significant MI Contour\" where MI equals your threshold. Everything inside this contour represents parameter configurations that achieve your desired level of information capture.\n", "\n", "- **The Cyan Dashed Line**: The \"Causal Contour\" showing where `lag + window = C`. This line represents the theoretical minimum window size needed to capture the causal relationship at each lag. Points below this line are theoretically insufficient; points above may be redundant.\n", "\n", "- **The Orange Bridge Line**: Visualizes the shortest connection between the two contours. This is the path of maximum parsimony - the most direct route from theoretical sufficiency to practical significance.\n", "\n", "- **The White Dotted Circle**: The \"Parsimonious Region\" centered at the bridge's midpoint. This circle highlights the optimal neighborhood in parameter space. The radius is controlled by `radius_multiplier`: at 1.0, the circle exactly touches both contours; at 1.2, it extends 20% beyond to show surrounding context.\n", "\n", "- **The White '+' Marker**: Marks the Parsimonious Center - your best single point estimate for optimal parameters. This point represents the sweet spot where you achieve significant MI with minimal parameter complexity.\n", "\n", "- **The Lime Rectangle** (if true parameters provided): Shows the ground-truth parameter box, allowing you to validate whether your parsimonious estimate successfully recovered the true underlying dynamics." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--- Causal Contour Analysis ---\n", "MI at lag=0 rises at window_size = 60.0 (implies lag_true + history_true ≈ 60.0)\n", "\n", "--- Parsimony Analysis (Significant MI > 1) ---\n", "Shortest bridge is between [30. 30.] on Causal Contour\n", "and [30. 32.01088479] on Significant MI Contour.\n", "Bridge length: 2.01\n", "Parsimonious Center: (lag=30.0, window=31.0)\n", "Parsimonious Radius: 10.05\n", "\n", "--- True Parameters ---\n", "True lag: 30, True history: 20\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "analyze_mi_heatmap(results_df_2d, absolute_mi_threshold=1, contour_rise_fraction=0.05, radius_multiplier=10, true_lag=TRUE_LAG_FULL, history_duration=HISTORY_DURATION_FULL)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Lesson**: The 2D MI search is a robust and agnostic tool for characterizing the temporal dynamics between two signals." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion: Your New Workflow\n", "\n", "You now have a complete, principled workflow for analyzing temporal dynamics in your data:\n", "\n", "1. **Start Simple**: If you suspect a linear relationship, start with cross-correlation. It's fast and easy.\n", "2. **Go Nonlinear**: For more complex data, use the `neural_mi` library, starting with simple 1D sweeps for `lag` or `window_size` if you have a strong prior.\n", "3. **Perform the 2D Search**: When you need to find both the timing and the timescale of an interaction from an agnostic perspective, the 2D heatmap is the way to go.\n", "\n", "### A Note on Model Choice\n", "\n", "In this tutorial, we used a simple MLP model. You might have noticed that using a more complex CNN, or different critic structures, doesn't significantly change the results *for these specific examples*. This is expected.\n", "\n", "The data we generated was based on a **moving average**, which is a smoothing operation. The key information is in the *mean value* of the window, not in any complex internal pattern. An MLP is perfectly capable of learning this simple relationship.\n", "\n", "**When should you use a more complex model?**\n", "- **CNN**: Choose a CNN if you hypothesize that the relationship depends on a specific *local pattern* or *shape* within the window (e.g., a spike followed by a trough).\n", "- **RNN**: Choose a recurrent model like an LSTM or GRU if you hypothesize a dependency on the *sequential order* of events within the window.\n", "\n", "**The takeaway is to start with the simplest model that can capture your hypothesized relationship.** For many neuroscience applications involving rate-coded or smoothed data, an MLP is a powerful and efficient choice." ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:base] *", "language": "python", "name": "conda-base-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.13" } }, "nbformat": 4, "nbformat_minor": 4 }