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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# A Data-Driven Framework for Mapping Domains of Human Neurobiology\n", | |
| "\n", | |
| "**Paper Authors:** Elizabeth Beam, Christopher Potts, Russell A. Poldrack, Amit Etkin\n", | |
| "\n", | |
| "---\n", | |
| "\n", | |
| "## Overview\n", | |
| "\n", | |
| "This notebook provides an **educational implementation** of the computational workflows described in the paper. The paper presents a data-driven approach to synthesize texts and coordinate data from neuroimaging articles to derive neurobiological domains.\n", | |
| "\n", | |
| "### Key Methodology\n", | |
| "\n", | |
| "The paper's main workflow involves:\n", | |
| "1. **Data Collection**: Assembling ~18,000 neuroimaging studies with coordinate data\n", | |
| "2. **Text Processing**: Extracting mental function terms from article texts using NLP\n", | |
| "3. **Coordinate Processing**: Mapping brain coordinates to anatomical structures\n", | |
| "4. **PMI-Weighted Co-occurrence**: Computing associations between terms and brain structures\n", | |
| "5. **K-means Clustering**: Grouping brain structures into circuits based on functional associations\n", | |
| "6. **Classification**: Using logistic regression for forward/reverse inference\n", | |
| "7. **Evaluation**: Assessing reproducibility, modularity, and generalizability\n", | |
| "\n", | |
| "### Important Notes on This Implementation\n", | |
| "\n", | |
| "**Resource Constraints:**\n", | |
| "- This notebook uses **small-scale synthetic data** to demonstrate the methodology\n", | |
| "- The full paper analysis used ~18,000 studies; we use ~500 synthetic articles\n", | |
| "- All computations are designed to run within **4GB RAM** and **5-10 minutes**\n", | |
| "\n", | |
| "**Purpose:**\n", | |
| "- This is an **educational guide** to help researchers understand and implement the methods\n", | |
| "- Researchers can adapt this code for full-scale experiments on their own infrastructure\n", | |
| "- Scaling guidance is provided throughout\n", | |
| "\n", | |
| "---" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## 1. Setup and Dependencies\n", | |
| "\n", | |
| "Installing all required packages:" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[37m⠋\u001b[0m \u001b[2mResolving dependencies... \u001b[0m\r", | |
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| "\u001b[2K\u001b[37m⠙\u001b[0m \u001b[2mResolving dependencies... \u001b[0m" | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\r", | |
| "\u001b[2K\u001b[37m⠙\u001b[0m \u001b[2mnumpy==2.4.2 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠙\u001b[0m \u001b[2mpandas==3.0.1 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠙\u001b[0m \u001b[2mnumpy==2.4.2 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠙\u001b[0m \u001b[2mscipy==1.17.1 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠙\u001b[0m \u001b[2mscikit-learn==1.8.0 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠙\u001b[0m \u001b[2mmatplotlib==3.10.8 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠙\u001b[0m \u001b[2mseaborn==0.13.2 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠙\u001b[0m \u001b[2mnltk==3.9.3 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠙\u001b[0m \u001b[2mtqdm==4.67.3 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠙\u001b[0m \u001b[2mjupyter==1.1.1 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠙\u001b[0m \u001b[2mpython-dateutil==2.9.0.post0 \u001b[0m" | |
| ] | |
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| "\u001b[2K\u001b[37m⠹\u001b[0m \u001b[2mpython-dateutil==2.9.0.post0 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠹\u001b[0m \u001b[2mjoblib==1.5.3 \u001b[0m" | |
| ] | |
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| { | |
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| "\r", | |
| "\u001b[2K\u001b[37m⠹\u001b[0m \u001b[2mthreadpoolctl==3.6.0 \u001b[0m\r", | |
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| "\u001b[2K\u001b[37m⠹\u001b[0m \u001b[2mcycler==0.12.1 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠹\u001b[0m \u001b[2mfonttools==4.61.1 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠹\u001b[0m \u001b[2mkiwisolver==1.4.9 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠹\u001b[0m \u001b[2mpackaging==26.0 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠹\u001b[0m \u001b[2mpillow==12.1.1 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠹\u001b[0m \u001b[2mpyparsing==3.3.2 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠹\u001b[0m \u001b[2mclick==8.3.1 \u001b[0m\r", | |
| "\u001b[2K\u001b[37m⠹\u001b[0m \u001b[2mregex==2026.2.28 \u001b[0m" | |
| ] | |
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| { | |
| "name": "stdout", | |
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| "text": [ | |
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| "\u001b[2K\u001b[37m⠹\u001b[0m \u001b[2msix==1.17.0 \u001b[0m" | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
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| "\u001b[2K\u001b[37m⠹\u001b[0m \u001b[2mjupyterlab-widgets==3.0.16 \u001b[0m" | |
| ] | |
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| { | |
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| "\r", | |
| "\u001b[2K\u001b[37m⠸\u001b[0m \u001b[2mexecuting==2.2.1 \u001b[0m\r", | |
| "\u001b[2K\u001b[2mResolved \u001b[1m115 packages\u001b[0m \u001b[2min 404ms\u001b[0m\u001b[0m\r\n", | |
| "\u001b[37m⠋\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/0) \r", | |
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| "\u001b[2mtqdm \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/76.54 KiB \u001b[1A\r", | |
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| "\u001b[2mthreadpoolctl \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/18.20 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/76.54 KiB \u001b[2A\r", | |
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| "\u001b[2K\u001b[2A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mthreadpoolctl \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/18.20 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/76.54 KiB \u001b[2A\r", | |
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| "\u001b[2K\u001b[2A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mthreadpoolctl \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/18.20 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/76.54 KiB \u001b[2A\r", | |
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| "\u001b[2K\u001b[2A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mcycler \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/8.13 KiB\r\n", | |
| "\u001b[2mthreadpoolctl \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/18.20 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/76.54 KiB \u001b[3A\r", | |
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| "\u001b[2mcycler \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/8.13 KiB\r\n", | |
| "\u001b[2mthreadpoolctl \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/18.20 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/76.54 KiB \u001b[3A\r", | |
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| "\u001b[2mcycler \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/8.13 KiB\r\n", | |
| "\u001b[2mthreadpoolctl \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/18.20 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/76.54 KiB \u001b[3A\r", | |
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| "\u001b[2mthreadpoolctl \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/18.20 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/76.54 KiB \u001b[3A\r", | |
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| "\u001b[2mcycler \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/8.13 KiB\r\n", | |
| "\u001b[2mthreadpoolctl \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/18.20 KiB\r\n", | |
| "\u001b[2mjupyter-console \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/23.94 KiB\r\n", | |
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| "\u001b[2K\u001b[4A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mcycler \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/8.13 KiB\r\n", | |
| "\u001b[2mthreadpoolctl \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/18.20 KiB\r\n", | |
| "\u001b[2mjupyter-console \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/23.94 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m-----\u001b[30m\u001b[2m-------------------------\u001b[0m\u001b[0m 14.88 KiB/76.54 KiB \u001b[4A\r", | |
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| "\u001b[2mthreadpoolctl \u001b[0m \u001b[32m------------------------\u001b[30m\u001b[2m------\u001b[0m\u001b[0m 14.90 KiB/18.20 KiB\r\n", | |
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| "\u001b[2mtqdm \u001b[0m \u001b[32m-----\u001b[30m\u001b[2m-------------------------\u001b[0m\u001b[0m 14.88 KiB/76.54 KiB \u001b[4A\r", | |
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| "\u001b[2mcycler \u001b[0m \u001b[32m------------------------------\u001b[30m\u001b[2m\u001b[0m\u001b[0m 8.13 KiB/8.13 KiB\r\n", | |
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| "\u001b[2mjupyter-console \u001b[0m \u001b[32m------------------\u001b[30m\u001b[2m------------\u001b[0m\u001b[0m 14.84 KiB/23.94 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m-----\u001b[30m\u001b[2m-------------------------\u001b[0m\u001b[0m 14.88 KiB/76.54 KiB \u001b[4A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[4A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mcycler \u001b[0m \u001b[32m------------------------------\u001b[30m\u001b[2m\u001b[0m\u001b[0m 8.13 KiB/8.13 KiB\r\n", | |
| "\u001b[2mthreadpoolctl \u001b[0m \u001b[32m------------------------\u001b[30m\u001b[2m------\u001b[0m\u001b[0m 14.90 KiB/18.20 KiB\r\n", | |
| "\u001b[2mjupyter-console \u001b[0m \u001b[32m------------------\u001b[30m\u001b[2m------------\u001b[0m\u001b[0m 14.84 KiB/23.94 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m-----\u001b[30m\u001b[2m-------------------------\u001b[0m\u001b[0m 14.88 KiB/76.54 KiB \u001b[4A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[4A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mcycler \u001b[0m \u001b[32m------------------------------\u001b[30m\u001b[2m\u001b[0m\u001b[0m 8.13 KiB/8.13 KiB\r\n", | |
| "\u001b[2mthreadpoolctl \u001b[0m \u001b[32m------------------------\u001b[30m\u001b[2m------\u001b[0m\u001b[0m 14.90 KiB/18.20 KiB\r\n", | |
| "\u001b[2mjupyter-console \u001b[0m \u001b[32m------------------\u001b[30m\u001b[2m------------\u001b[0m\u001b[0m 14.84 KiB/23.94 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m-----\u001b[30m\u001b[2m-------------------------\u001b[0m\u001b[0m 14.88 KiB/76.54 KiB \u001b[4A\r", | |
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| "\u001b[2K\u001b[4A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mthreadpoolctl \u001b[0m \u001b[32m------------------------\u001b[30m\u001b[2m------\u001b[0m\u001b[0m 14.90 KiB/18.20 KiB\r\n", | |
| "\u001b[2mjupyter-console \u001b[0m \u001b[32m------------------\u001b[30m\u001b[2m------------\u001b[0m\u001b[0m 14.84 KiB/23.94 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m-----\u001b[30m\u001b[2m-------------------------\u001b[0m\u001b[0m 14.88 KiB/76.54 KiB\r\n", | |
| "\u001b[2mpyparsing \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 14.88 KiB/119.90 KiB\r\n", | |
| "\u001b[2mregex \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.91 KiB/783.30 KiB\r\n", | |
| "\u001b[2mwidgetsnbextension \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.87 KiB/2.09 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[6A\r", | |
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| "\u001b[2K\u001b[6A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mjupyter-console \u001b[0m \u001b[32m------------------------------\u001b[30m\u001b[2m\u001b[0m\u001b[0m 23.94 KiB/23.94 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m------------\u001b[30m\u001b[2m------------------\u001b[0m\u001b[0m 30.88 KiB/76.54 KiB\r\n", | |
| "\u001b[2mpyparsing \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 14.88 KiB/119.90 KiB\r\n", | |
| "\u001b[2mregex \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.91 KiB/783.30 KiB\r\n", | |
| "\u001b[2mwidgetsnbextension \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.87 KiB/2.09 MiB \u001b[5A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[5A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mjupyter \u001b[0m \u001b[32m------------------------------\u001b[30m\u001b[2m\u001b[0m\u001b[0m 2.59 KiB/2.59 KiB\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m------------------\u001b[30m\u001b[2m------------\u001b[0m\u001b[0m 46.88 KiB/76.54 KiB\r\n", | |
| "\u001b[2mpyparsing \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 14.88 KiB/119.90 KiB\r\n", | |
| "\u001b[2mipywidgets \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 14.91 KiB/136.53 KiB\r\n", | |
| "\u001b[2mseaborn \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 14.92 KiB/288.00 KiB\r\n", | |
| "\u001b[2mjoblib \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 14.88 KiB/301.83 KiB\r\n", | |
| "\u001b[2mcontourpy \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/354.35 KiB\r\n", | |
| "\u001b[2mregex \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.91 KiB/783.30 KiB\r\n", | |
| "\u001b[2mjupyterlab-widgets \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/893.48 KiB\r\n", | |
| "\u001b[2mkiwisolver \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/1.41 MiB\r\n", | |
| "\u001b[2mnltk \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.88 KiB/1.45 MiB\r\n", | |
| "\u001b[2mwidgetsnbextension \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.87 KiB/2.09 MiB\r\n", | |
| "\u001b[2mfonttools \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.88 KiB/6.71 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.91 KiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/13.90 MiB \u001b[18A\r", | |
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| "\u001b[2K\u001b[18A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mtqdm \u001b[0m \u001b[32m------------------------\u001b[30m\u001b[2m------\u001b[0m\u001b[0m 62.88 KiB/76.54 KiB\r\n", | |
| "\u001b[2mpyparsing \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 14.88 KiB/119.90 KiB\r\n", | |
| "\u001b[2mipywidgets \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 14.91 KiB/136.53 KiB\r\n", | |
| "\u001b[2mseaborn \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 14.92 KiB/288.00 KiB\r\n", | |
| "\u001b[2mjoblib \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 14.88 KiB/301.83 KiB\r\n", | |
| "\u001b[2mcontourpy \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 16.00 KiB/354.35 KiB\r\n", | |
| "\u001b[2mregex \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.91 KiB/783.30 KiB\r\n", | |
| "\u001b[2mjupyterlab-widgets \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 16.00 KiB/893.48 KiB\r\n", | |
| "\u001b[2mkiwisolver \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/1.41 MiB\r\n", | |
| "\u001b[2mnltk \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.88 KiB/1.45 MiB\r\n", | |
| "\u001b[2mwidgetsnbextension \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 30.87 KiB/2.09 MiB\r\n", | |
| "\u001b[2mfonttools \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.88 KiB/6.71 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.91 KiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 13.42 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.88 KiB/13.90 MiB \u001b[17A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[17A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mpyparsing \u001b[0m \u001b[32m-------\u001b[30m\u001b[2m-----------------------\u001b[0m\u001b[0m 30.88 KiB/119.90 KiB\r\n", | |
| "\u001b[2mipywidgets \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 14.91 KiB/136.53 KiB\r\n", | |
| "\u001b[2mseaborn \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 14.92 KiB/288.00 KiB\r\n", | |
| "\u001b[2mjoblib \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 14.88 KiB/301.83 KiB\r\n", | |
| "\u001b[2mcontourpy \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 16.00 KiB/354.35 KiB\r\n", | |
| "\u001b[2mregex \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 30.91 KiB/783.30 KiB\r\n", | |
| "\u001b[2mjupyterlab-widgets \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 16.00 KiB/893.48 KiB\r\n", | |
| "\u001b[2mkiwisolver \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 16.00 KiB/1.41 MiB\r\n", | |
| "\u001b[2mnltk \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.88 KiB/1.45 MiB\r\n", | |
| "\u001b[2mwidgetsnbextension \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 30.87 KiB/2.09 MiB\r\n", | |
| "\u001b[2mfonttools \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 0 B/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.88 KiB/6.71 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 16.00 KiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.91 KiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 13.42 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 14.88 KiB/13.90 MiB \u001b[16A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[16A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mpyparsing \u001b[0m \u001b[32m-----------\u001b[30m\u001b[2m-------------------\u001b[0m\u001b[0m 46.88 KiB/119.90 KiB\r\n", | |
| "\u001b[2mipywidgets \u001b[0m \u001b[32m----------\u001b[30m\u001b[2m--------------------\u001b[0m\u001b[0m 46.91 KiB/136.53 KiB\r\n", | |
| "\u001b[2mseaborn \u001b[0m \u001b[32m----\u001b[30m\u001b[2m--------------------------\u001b[0m\u001b[0m 46.92 KiB/288.00 KiB\r\n", | |
| "\u001b[2mjoblib \u001b[0m \u001b[32m----\u001b[30m\u001b[2m--------------------------\u001b[0m\u001b[0m 46.88 KiB/301.83 KiB\r\n", | |
| "\u001b[2mcontourpy \u001b[0m \u001b[32m----\u001b[30m\u001b[2m--------------------------\u001b[0m\u001b[0m 48.00 KiB/354.35 KiB\r\n", | |
| "\u001b[2mregex \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 46.91 KiB/783.30 KiB\r\n", | |
| "\u001b[2mjupyterlab-widgets \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 48.00 KiB/893.48 KiB\r\n", | |
| "\u001b[2mkiwisolver \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 32.00 KiB/1.41 MiB\r\n", | |
| "\u001b[2mnltk \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 46.88 KiB/1.45 MiB\r\n", | |
| "\u001b[2mwidgetsnbextension \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 45.88 KiB/2.09 MiB\r\n", | |
| "\u001b[2mfonttools \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 16.00 KiB/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 46.88 KiB/6.71 MiB\r\n", | |
| "\u001b[2mmatplotlib \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 16.00 KiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 32.00 KiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 46.91 KiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 30.43 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 30.77 KiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 15.89 KiB/33.57 MiB " | |
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| { | |
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| "\u001b[2K\u001b[18A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mpyparsing \u001b[0m \u001b[32m------------------------------\u001b[30m\u001b[2m\u001b[0m\u001b[0m 119.90 KiB/119.90 KiB\r\n", | |
| "\u001b[2mipywidgets \u001b[0m \u001b[32m-----------------\u001b[30m\u001b[2m-------------\u001b[0m\u001b[0m 77.82 KiB/136.53 KiB\r\n", | |
| "\u001b[2mseaborn \u001b[0m \u001b[32m-----------------\u001b[30m\u001b[2m-------------\u001b[0m\u001b[0m 172.43 KiB/288.00 KiB\r\n", | |
| "\u001b[2mjoblib \u001b[0m \u001b[32m------------\u001b[30m\u001b[2m------------------\u001b[0m\u001b[0m 126.40 KiB/301.83 KiB\r\n", | |
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| "\u001b[2mregex \u001b[0m \u001b[32m---------------\u001b[30m\u001b[2m---------------\u001b[0m\u001b[0m 407.52 KiB/783.30 KiB\r\n", | |
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| "\u001b[2mkiwisolver \u001b[0m \u001b[32m-------\u001b[30m\u001b[2m-----------------------\u001b[0m\u001b[0m 382.23 KiB/1.41 MiB\r\n", | |
| "\u001b[2mnltk \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 156.44 KiB/1.45 MiB\r\n", | |
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| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 76.11 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 316.79 KiB/13.90 MiB\r\n", | |
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| "\u001b[2mjoblib \u001b[0m \u001b[32m--------------\u001b[30m\u001b[2m----------------\u001b[0m\u001b[0m 142.40 KiB/301.83 KiB\r\n", | |
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| "\u001b[2mkiwisolver \u001b[0m \u001b[32m-----------\u001b[30m\u001b[2m-------------------\u001b[0m\u001b[0m 574.23 KiB/1.41 MiB\r\n", | |
| "\u001b[2mnltk \u001b[0m \u001b[32m----\u001b[30m\u001b[2m--------------------------\u001b[0m\u001b[0m 204.44 KiB/1.45 MiB\r\n", | |
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| "\u001b[2mfonttools \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 117.92 KiB/4.70 MiB\r\n", | |
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| "\u001b[2mmatplotlib \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 445.37 KiB/8.31 MiB\r\n", | |
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| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 92.11 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 380.90 KiB/13.90 MiB\r\n", | |
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| { | |
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| "\u001b[2mjoblib \u001b[0m \u001b[32m-----------------\u001b[30m\u001b[2m-------------\u001b[0m\u001b[0m 174.40 KiB/301.83 KiB\r\n", | |
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| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 108.11 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 540.90 KiB/13.90 MiB\r\n", | |
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| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 108.11 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 652.90 KiB/13.90 MiB\r\n", | |
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| "\u001b[2K\u001b[16A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mipywidgets \u001b[0m \u001b[32m------------------------------\u001b[30m\u001b[2m\u001b[0m\u001b[0m 136.53 KiB/136.53 KiB\r\n", | |
| "\u001b[2mseaborn \u001b[0m \u001b[32m-------------------------\u001b[30m\u001b[2m-----\u001b[0m\u001b[0m 248.21 KiB/288.00 KiB\r\n", | |
| "\u001b[2mjoblib \u001b[0m \u001b[32m-----------------\u001b[30m\u001b[2m-------------\u001b[0m\u001b[0m 174.40 KiB/301.83 KiB\r\n", | |
| "\u001b[2mjupyterlab-widgets \u001b[0m \u001b[32m---------------------------\u001b[30m\u001b[2m---\u001b[0m\u001b[0m 813.93 KiB/893.48 KiB\r\n", | |
| "\u001b[2mkiwisolver \u001b[0m \u001b[32m----------------\u001b[30m\u001b[2m--------------\u001b[0m\u001b[0m 787.05 KiB/1.41 MiB\r\n", | |
| "\u001b[2mnltk \u001b[0m \u001b[32m-----\u001b[30m\u001b[2m-------------------------\u001b[0m\u001b[0m 268.55 KiB/1.45 MiB\r\n", | |
| "\u001b[2mwidgetsnbextension \u001b[0m \u001b[32m-----------\u001b[30m\u001b[2m-------------------\u001b[0m\u001b[0m 844.29 KiB/2.09 MiB\r\n", | |
| "\u001b[2mfonttools \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 589.27 KiB/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 223.88 KiB/6.71 MiB\r\n", | |
| "\u001b[2mmatplotlib \u001b[0m \u001b[32m--\u001b[30m\u001b[2m----------------------------\u001b[0m\u001b[0m 765.37 KiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 383.73 KiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m--\u001b[30m\u001b[2m----------------------------\u001b[0m\u001b[0m 813.57 KiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 108.11 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 684.90 KiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 270.42 KiB/33.57 MiB \u001b[15A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[15A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mseaborn \u001b[0m \u001b[32m-------------------------\u001b[30m\u001b[2m-----\u001b[0m\u001b[0m 248.21 KiB/288.00 KiB\r\n", | |
| "\u001b[2mjoblib \u001b[0m \u001b[32m------------------\u001b[30m\u001b[2m------------\u001b[0m\u001b[0m 190.40 KiB/301.83 KiB\r\n", | |
| "\u001b[2mjupyterlab-widgets \u001b[0m \u001b[32m----------------------------\u001b[30m\u001b[2m--\u001b[0m\u001b[0m 840.12 KiB/893.48 KiB\r\n", | |
| "\u001b[2mkiwisolver \u001b[0m \u001b[32m-----------------\u001b[30m\u001b[2m-------------\u001b[0m\u001b[0m 830.23 KiB/1.41 MiB\r\n", | |
| "\u001b[2mnltk \u001b[0m \u001b[32m-----\u001b[30m\u001b[2m-------------------------\u001b[0m\u001b[0m 268.55 KiB/1.45 MiB\r\n", | |
| "\u001b[2mwidgetsnbextension \u001b[0m \u001b[32m------------\u001b[30m\u001b[2m------------------\u001b[0m\u001b[0m 892.29 KiB/2.09 MiB\r\n", | |
| "\u001b[2mfonttools \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 589.27 KiB/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 223.88 KiB/6.71 MiB\r\n", | |
| "\u001b[2mmatplotlib \u001b[0m \u001b[32m--\u001b[30m\u001b[2m----------------------------\u001b[0m\u001b[0m 813.37 KiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m--\u001b[30m\u001b[2m----------------------------\u001b[0m\u001b[0m 607.73 KiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m--\u001b[30m\u001b[2m----------------------------\u001b[0m\u001b[0m 829.72 KiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 108.11 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 716.90 KiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 270.42 KiB/33.57 MiB \u001b[14A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[14A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mseaborn \u001b[0m \u001b[32m-----------------------------\u001b[30m\u001b[2m-\u001b[0m\u001b[0m 284.43 KiB/288.00 KiB\r\n", | |
| "\u001b[2mjoblib \u001b[0m \u001b[32m----------------------\u001b[30m\u001b[2m--------\u001b[0m\u001b[0m 222.40 KiB/301.83 KiB\r\n", | |
| "\u001b[2mkiwisolver \u001b[0m \u001b[32m-------------------\u001b[30m\u001b[2m-----------\u001b[0m\u001b[0m 958.23 KiB/1.41 MiB\r\n", | |
| "\u001b[2mnltk \u001b[0m \u001b[32m------\u001b[30m\u001b[2m------------------------\u001b[0m\u001b[0m 300.55 KiB/1.45 MiB\r\n", | |
| "\u001b[2mwidgetsnbextension \u001b[0m \u001b[32m--------------\u001b[30m\u001b[2m----------------\u001b[0m\u001b[0m 1004.29 KiB/2.09 MiB\r\n", | |
| "\u001b[2mfonttools \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 621.27 KiB/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 255.88 KiB/6.71 MiB\r\n", | |
| "\u001b[2mmatplotlib \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 909.37 KiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m--\u001b[30m\u001b[2m----------------------------\u001b[0m\u001b[0m 703.73 KiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m--\u001b[30m\u001b[2m----------------------------\u001b[0m\u001b[0m 941.62 KiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 108.11 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 780.90 KiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 335.56 KiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
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| "text": [ | |
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| "\u001b[2K\u001b[13A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mjoblib \u001b[0m \u001b[32m-------------------------\u001b[30m\u001b[2m-----\u001b[0m\u001b[0m 254.40 KiB/301.83 KiB\r\n", | |
| "\u001b[2mkiwisolver \u001b[0m \u001b[32m---------------------\u001b[30m\u001b[2m---------\u001b[0m\u001b[0m 1.03 MiB/1.41 MiB\r\n", | |
| "\u001b[2mnltk \u001b[0m \u001b[32m------\u001b[30m\u001b[2m------------------------\u001b[0m\u001b[0m 332.55 KiB/1.45 MiB\r\n", | |
| "\u001b[2mwidgetsnbextension \u001b[0m \u001b[32m---------------\u001b[30m\u001b[2m---------------\u001b[0m\u001b[0m 1.11 MiB/2.09 MiB\r\n", | |
| "\u001b[2mfonttools \u001b[0m \u001b[32m------\u001b[30m\u001b[2m------------------------\u001b[0m\u001b[0m 1.01 MiB/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 287.88 KiB/6.71 MiB\r\n", | |
| "\u001b[2mmatplotlib \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 1005.37 KiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m--\u001b[30m\u001b[2m----------------------------\u001b[0m\u001b[0m 735.73 KiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m--\u001b[30m\u001b[2m----------------------------\u001b[0m\u001b[0m 1.01 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 124.11 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 812.90 KiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 351.56 KiB/33.57 MiB \u001b[12A\r", | |
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| "\u001b[2K\u001b[12A\u001b[37m⠙\u001b[0m \u001b[2mPreparing packages...\u001b[0m (0/23)\r\n", | |
| "\u001b[2mjoblib \u001b[0m \u001b[32m-------------------------\u001b[30m\u001b[2m-----\u001b[0m\u001b[0m 254.40 KiB/301.83 KiB\r\n", | |
| "\u001b[2mkiwisolver \u001b[0m \u001b[32m----------------------\u001b[30m\u001b[2m--------\u001b[0m\u001b[0m 1.08 MiB/1.41 MiB\r\n", | |
| "\u001b[2mnltk \u001b[0m \u001b[32m-------\u001b[30m\u001b[2m-----------------------\u001b[0m\u001b[0m 348.55 KiB/1.45 MiB\r\n", | |
| "\u001b[2mwidgetsnbextension \u001b[0m \u001b[32m----------------\u001b[30m\u001b[2m--------------\u001b[0m\u001b[0m 1.18 MiB/2.09 MiB\r\n", | |
| "\u001b[2mfonttools \u001b[0m \u001b[32m------\u001b[30m\u001b[2m------------------------\u001b[0m\u001b[0m 1.08 MiB/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m-\u001b[30m\u001b[2m-----------------------------\u001b[0m\u001b[0m 319.88 KiB/6.71 MiB\r\n", | |
| "\u001b[2mmatplotlib \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 1.06 MiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m--\u001b[30m\u001b[2m----------------------------\u001b[0m\u001b[0m 831.73 KiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 1.08 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 124.11 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m--\u001b[30m\u001b[2m----------------------------\u001b[0m\u001b[0m 956.90 KiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 351.56 KiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[12A\r", | |
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| "\u001b[2K\u001b[12A\u001b[37m⠹\u001b[0m \u001b[2mPreparing packages...\u001b[0m (11/23)\r\n", | |
| "\u001b[2mjoblib \u001b[0m \u001b[32m--------------------------\u001b[30m\u001b[2m----\u001b[0m\u001b[0m 270.40 KiB/301.83 KiB\r\n", | |
| "\u001b[2mkiwisolver \u001b[0m \u001b[32m-----------------------------\u001b[30m\u001b[2m-\u001b[0m\u001b[0m 1.37 MiB/1.41 MiB\r\n", | |
| "\u001b[2mnltk \u001b[0m \u001b[32m--------\u001b[30m\u001b[2m----------------------\u001b[0m\u001b[0m 412.55 KiB/1.45 MiB\r\n", | |
| "\u001b[2mwidgetsnbextension \u001b[0m \u001b[32m---------------------\u001b[30m\u001b[2m---------\u001b[0m\u001b[0m 1.50 MiB/2.09 MiB\r\n", | |
| "\u001b[2mfonttools \u001b[0m \u001b[32m---------\u001b[30m\u001b[2m---------------------\u001b[0m\u001b[0m 1.42 MiB/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m------\u001b[30m\u001b[2m------------------------\u001b[0m\u001b[0m 1.42 MiB/6.71 MiB\r\n", | |
| "\u001b[2mmatplotlib \u001b[0m \u001b[32m----\u001b[30m\u001b[2m--------------------------\u001b[0m\u001b[0m 1.26 MiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m----\u001b[30m\u001b[2m--------------------------\u001b[0m\u001b[0m 1.37 MiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m----\u001b[30m\u001b[2m--------------------------\u001b[0m\u001b[0m 1.42 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 140.11 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m--\u001b[30m\u001b[2m----------------------------\u001b[0m\u001b[0m 1.24 MiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 399.56 KiB/33.57 MiB \u001b[12A\r", | |
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| "\u001b[2mjoblib \u001b[0m \u001b[32m----------------------------\u001b[30m\u001b[2m--\u001b[0m\u001b[0m 286.40 KiB/301.83 KiB\r\n", | |
| "\u001b[2mnltk \u001b[0m \u001b[32m---------\u001b[30m\u001b[2m---------------------\u001b[0m\u001b[0m 460.55 KiB/1.45 MiB\r\n", | |
| "\u001b[2mwidgetsnbextension \u001b[0m \u001b[32m-----------------------\u001b[30m\u001b[2m-------\u001b[0m\u001b[0m 1.62 MiB/2.09 MiB\r\n", | |
| "\u001b[2mfonttools \u001b[0m \u001b[32m---------\u001b[30m\u001b[2m---------------------\u001b[0m\u001b[0m 1.53 MiB/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m------\u001b[30m\u001b[2m------------------------\u001b[0m\u001b[0m 1.53 MiB/6.71 MiB\r\n", | |
| "\u001b[2mmatplotlib \u001b[0m \u001b[32m----\u001b[30m\u001b[2m--------------------------\u001b[0m\u001b[0m 1.34 MiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m----\u001b[30m\u001b[2m--------------------------\u001b[0m\u001b[0m 1.41 MiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m----\u001b[30m\u001b[2m--------------------------\u001b[0m\u001b[0m 1.52 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 140.11 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m--\u001b[30m\u001b[2m----------------------------\u001b[0m\u001b[0m 1.29 MiB/13.90 MiB\r\n", | |
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| { | |
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| "\u001b[2mfonttools \u001b[0m \u001b[32m----------\u001b[30m\u001b[2m--------------------\u001b[0m\u001b[0m 1.67 MiB/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m-------\u001b[30m\u001b[2m-----------------------\u001b[0m\u001b[0m 1.69 MiB/6.71 MiB\r\n", | |
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| "\u001b[2mscikit-learn \u001b[0m \u001b[32m-----\u001b[30m\u001b[2m-------------------------\u001b[0m\u001b[0m 1.51 MiB/8.49 MiB\r\n", | |
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| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 172.11 KiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m---\u001b[30m\u001b[2m---------------------------\u001b[0m\u001b[0m 1.62 MiB/13.90 MiB\r\n", | |
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| "\u001b[2mfonttools \u001b[0m \u001b[32m-----------\u001b[30m\u001b[2m-------------------\u001b[0m\u001b[0m 1.78 MiB/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m--------\u001b[30m\u001b[2m----------------------\u001b[0m\u001b[0m 1.81 MiB/6.71 MiB\r\n", | |
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| "\u001b[2mjupyterlab \u001b[0m \u001b[32m\u001b[30m\u001b[2m------------------------------\u001b[0m\u001b[0m 188.11 KiB/11.87 MiB\r\n", | |
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| "\u001b[2mfonttools \u001b[0m \u001b[32m--------------\u001b[30m\u001b[2m----------------\u001b[0m\u001b[0m 2.20 MiB/4.70 MiB\r\n", | |
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| "\u001b[2mfonttools \u001b[0m \u001b[32m------------------------\u001b[30m\u001b[2m------\u001b[0m\u001b[0m 3.80 MiB/4.70 MiB\r\n", | |
| "\u001b[2mpillow \u001b[0m \u001b[32m-----------------\u001b[30m\u001b[2m-------------\u001b[0m\u001b[0m 3.87 MiB/6.71 MiB\r\n", | |
| "\u001b[2mmatplotlib \u001b[0m \u001b[32m-------------\u001b[30m\u001b[2m-----------------\u001b[0m\u001b[0m 3.83 MiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m-----------\u001b[30m\u001b[2m-------------------\u001b[0m\u001b[0m 3.12 MiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m-----------\u001b[30m\u001b[2m-------------------\u001b[0m\u001b[0m 3.90 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m---------\u001b[30m\u001b[2m---------------------\u001b[0m\u001b[0m 3.93 MiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m--------\u001b[30m\u001b[2m----------------------\u001b[0m\u001b[0m 3.84 MiB/13.90 MiB\r\n", | |
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| "\u001b[2mfonttools \u001b[0m \u001b[32m------------------------\u001b[30m\u001b[2m------\u001b[0m\u001b[0m 3.87 MiB/4.70 MiB\r\n", | |
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| "\u001b[2mmatplotlib \u001b[0m \u001b[32m--------------\u001b[30m\u001b[2m----------------\u001b[0m\u001b[0m 3.94 MiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m-----------\u001b[30m\u001b[2m-------------------\u001b[0m\u001b[0m 3.28 MiB/8.49 MiB\r\n", | |
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| "\u001b[2mnotebook \u001b[0m \u001b[32m--------\u001b[30m\u001b[2m----------------------\u001b[0m\u001b[0m 3.93 MiB/13.90 MiB\r\n", | |
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| "\u001b[2mmatplotlib \u001b[0m \u001b[32m---------------\u001b[30m\u001b[2m---------------\u001b[0m\u001b[0m 4.37 MiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m--------------\u001b[30m\u001b[2m----------------\u001b[0m\u001b[0m 4.18 MiB/8.49 MiB\r\n", | |
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| "\u001b[2mnotebook \u001b[0m \u001b[32m---------\u001b[30m\u001b[2m---------------------\u001b[0m\u001b[0m 4.37 MiB/13.90 MiB\r\n", | |
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| "\u001b[2mnotebook \u001b[0m \u001b[32m----------\u001b[30m\u001b[2m--------------------\u001b[0m\u001b[0m 5.00 MiB/13.90 MiB\r\n", | |
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| { | |
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| "\u001b[2mmatplotlib \u001b[0m \u001b[32m------------------------\u001b[30m\u001b[2m------\u001b[0m\u001b[0m 6.90 MiB/8.31 MiB\r\n", | |
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| "\u001b[2mjupyterlab \u001b[0m \u001b[32m----------------\u001b[30m\u001b[2m--------------\u001b[0m\u001b[0m 6.36 MiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m--------------\u001b[30m\u001b[2m----------------\u001b[0m\u001b[0m 6.89 MiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m-----\u001b[30m\u001b[2m-------------------------\u001b[0m\u001b[0m 6.29 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[6A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[6A\u001b[37m⠴\u001b[0m \u001b[2mPreparing packages...\u001b[0m (16/23)\r\n", | |
| "\u001b[2mmatplotlib \u001b[0m \u001b[32m-------------------------\u001b[30m\u001b[2m-----\u001b[0m\u001b[0m 7.09 MiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m----------------------\u001b[30m\u001b[2m--------\u001b[0m\u001b[0m 6.28 MiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m------------------\u001b[30m\u001b[2m------------\u001b[0m\u001b[0m 6.31 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m----------------\u001b[30m\u001b[2m--------------\u001b[0m\u001b[0m 6.45 MiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m---------------\u001b[30m\u001b[2m---------------\u001b[0m\u001b[0m 7.28 MiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m-----\u001b[30m\u001b[2m-------------------------\u001b[0m\u001b[0m 6.62 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[6A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[6A\u001b[37m⠴\u001b[0m \u001b[2mPreparing packages...\u001b[0m (16/23)\r\n", | |
| "\u001b[2mmatplotlib \u001b[0m \u001b[32m---------------------------\u001b[30m\u001b[2m---\u001b[0m\u001b[0m 7.58 MiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m-------------------------\u001b[30m\u001b[2m-----\u001b[0m\u001b[0m 7.23 MiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m-------------------\u001b[30m\u001b[2m-----------\u001b[0m\u001b[0m 6.84 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m----------------\u001b[30m\u001b[2m--------------\u001b[0m\u001b[0m 6.49 MiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m----------------\u001b[30m\u001b[2m--------------\u001b[0m\u001b[0m 7.83 MiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m------\u001b[30m\u001b[2m------------------------\u001b[0m\u001b[0m 7.64 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
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| "text": [ | |
| "\u001b[6A\r", | |
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| "\u001b[2K\u001b[6A\u001b[37m⠦\u001b[0m \u001b[2mPreparing packages...\u001b[0m (17/23)\r\n", | |
| "\u001b[2mmatplotlib \u001b[0m \u001b[32m----------------------------\u001b[30m\u001b[2m--\u001b[0m\u001b[0m 7.90 MiB/8.31 MiB\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m----------------------------\u001b[30m\u001b[2m--\u001b[0m\u001b[0m 7.94 MiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m--------------------\u001b[30m\u001b[2m----------\u001b[0m\u001b[0m 7.22 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m------------------\u001b[30m\u001b[2m------------\u001b[0m\u001b[0m 7.33 MiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m-----------------\u001b[30m\u001b[2m-------------\u001b[0m\u001b[0m 8.32 MiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m-------\u001b[30m\u001b[2m-----------------------\u001b[0m\u001b[0m 8.20 MiB/33.57 MiB \u001b[6A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[6A\u001b[37m⠦\u001b[0m \u001b[2mPreparing packages...\u001b[0m (17/23)\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m-----------------------------\u001b[30m\u001b[2m-\u001b[0m\u001b[0m 8.46 MiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m----------------------\u001b[30m\u001b[2m--------\u001b[0m\u001b[0m 7.66 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m---------------------\u001b[30m\u001b[2m---------\u001b[0m\u001b[0m 8.45 MiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m-------------------\u001b[30m\u001b[2m-----------\u001b[0m\u001b[0m 8.89 MiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m-------\u001b[30m\u001b[2m-----------------------\u001b[0m\u001b[0m 8.75 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[5A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[5A\u001b[37m⠦\u001b[0m \u001b[2mPreparing packages...\u001b[0m (17/23)\r\n", | |
| "\u001b[2mscikit-learn \u001b[0m \u001b[32m-----------------------------\u001b[30m\u001b[2m-\u001b[0m\u001b[0m 8.48 MiB/8.49 MiB\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m----------------------\u001b[30m\u001b[2m--------\u001b[0m\u001b[0m 7.67 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m---------------------\u001b[30m\u001b[2m---------\u001b[0m\u001b[0m 8.56 MiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m-------------------\u001b[30m\u001b[2m-----------\u001b[0m\u001b[0m 8.89 MiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m-------\u001b[30m\u001b[2m-----------------------\u001b[0m\u001b[0m 8.75 MiB/33.57 MiB \u001b[5A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[5A\u001b[37m⠦\u001b[0m \u001b[2mPreparing packages...\u001b[0m (17/23)\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m----------------------\u001b[30m\u001b[2m--------\u001b[0m\u001b[0m 7.69 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m----------------------\u001b[30m\u001b[2m--------\u001b[0m\u001b[0m 8.72 MiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m-------------------\u001b[30m\u001b[2m-----------\u001b[0m\u001b[0m 8.89 MiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m-------\u001b[30m\u001b[2m-----------------------\u001b[0m\u001b[0m 8.75 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[4A\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[4A\u001b[37m⠦\u001b[0m \u001b[2mPreparing packages...\u001b[0m (17/23)\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m-----------------------\u001b[30m\u001b[2m-------\u001b[0m\u001b[0m 8.14 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m-----------------------\u001b[30m\u001b[2m-------\u001b[0m\u001b[0m 9.29 MiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m-------------------\u001b[30m\u001b[2m-----------\u001b[0m\u001b[0m 9.24 MiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m--------\u001b[30m\u001b[2m----------------------\u001b[0m\u001b[0m 9.48 MiB/33.57 MiB \u001b[4A\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[4A\u001b[37m⠦\u001b[0m \u001b[2mPreparing packages...\u001b[0m (17/23)\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m------------------------\u001b[30m\u001b[2m------\u001b[0m\u001b[0m 8.56 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m---------------------------\u001b[30m\u001b[2m---\u001b[0m\u001b[0m 10.70 MiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m----------------------\u001b[30m\u001b[2m--------\u001b[0m\u001b[0m 10.53 MiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m---------\u001b[30m\u001b[2m---------------------\u001b[0m\u001b[0m 10.31 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[4A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[4A\u001b[37m⠦\u001b[0m \u001b[2mPreparing packages...\u001b[0m (17/23)\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m-------------------------\u001b[30m\u001b[2m-----\u001b[0m\u001b[0m 8.78 MiB/10.37 MiB\r\n", | |
| "\u001b[2mjupyterlab \u001b[0m \u001b[32m----------------------------\u001b[30m\u001b[2m--\u001b[0m\u001b[0m 11.29 MiB/11.87 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m------------------------\u001b[30m\u001b[2m------\u001b[0m\u001b[0m 11.42 MiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m----------\u001b[30m\u001b[2m--------------------\u001b[0m\u001b[0m 11.20 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[4A\r", | |
| "\u001b[2K\u001b[1B\r", | |
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| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[4A\u001b[37m⠧\u001b[0m \u001b[2mPreparing packages...\u001b[0m (19/23)\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m-------------------------\u001b[30m\u001b[2m-----\u001b[0m\u001b[0m 8.95 MiB/10.37 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m-------------------------\u001b[30m\u001b[2m-----\u001b[0m\u001b[0m 12.01 MiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m----------\u001b[30m\u001b[2m--------------------\u001b[0m\u001b[0m 11.81 MiB/33.57 MiB \u001b[3A\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[3A\u001b[37m⠧\u001b[0m \u001b[2mPreparing packages...\u001b[0m (19/23)\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m--------------------------\u001b[30m\u001b[2m----\u001b[0m\u001b[0m 9.04 MiB/10.37 MiB\r\n", | |
| "\u001b[2mnotebook \u001b[0m \u001b[32m----------------------------\u001b[30m\u001b[2m--\u001b[0m\u001b[0m 13.24 MiB/13.90 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m-----------\u001b[30m\u001b[2m-------------------\u001b[0m\u001b[0m 12.41 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[3A\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[3A\u001b[37m⠧\u001b[0m \u001b[2mPreparing packages...\u001b[0m (19/23)\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m--------------------------\u001b[30m\u001b[2m----\u001b[0m\u001b[0m 9.23 MiB/10.37 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m------------\u001b[30m\u001b[2m------------------\u001b[0m\u001b[0m 13.70 MiB/33.57 MiB \u001b[2A\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[2A\u001b[37m⠧\u001b[0m \u001b[2mPreparing packages...\u001b[0m (19/23)\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m---------------------------\u001b[30m\u001b[2m---\u001b[0m\u001b[0m 9.42 MiB/10.37 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m------------\u001b[30m\u001b[2m------------------\u001b[0m\u001b[0m 14.45 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[2A\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[2A\u001b[37m⠧\u001b[0m \u001b[2mPreparing packages...\u001b[0m (19/23)\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m----------------------------\u001b[30m\u001b[2m--\u001b[0m\u001b[0m 9.78 MiB/10.37 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m---------------\u001b[30m\u001b[2m---------------\u001b[0m\u001b[0m 17.61 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[2A\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[2A\u001b[37m⠧\u001b[0m \u001b[2mPreparing packages...\u001b[0m (19/23)\r\n", | |
| "\u001b[2mpandas \u001b[0m \u001b[32m----------------------------\u001b[30m\u001b[2m--\u001b[0m\u001b[0m 9.97 MiB/10.37 MiB\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m------------------\u001b[30m\u001b[2m------------\u001b[0m\u001b[0m 20.50 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[2A\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[2A\u001b[37m⠇\u001b[0m \u001b[2mPreparing packages...\u001b[0m (21/23)\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m---------------------\u001b[30m\u001b[2m---------\u001b[0m\u001b[0m 23.94 MiB/33.57 MiB \u001b[1A\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1A\u001b[37m⠇\u001b[0m \u001b[2mPreparing packages...\u001b[0m (21/23)\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m---------------------\u001b[30m\u001b[2m---------\u001b[0m\u001b[0m 24.06 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[1A\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1A\u001b[37m⠇\u001b[0m \u001b[2mPreparing packages...\u001b[0m (21/23)\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m------------------------\u001b[30m\u001b[2m------\u001b[0m\u001b[0m 27.11 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[1A\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1A\u001b[37m⠇\u001b[0m \u001b[2mPreparing packages...\u001b[0m (21/23)\r\n", | |
| "\u001b[2mscipy \u001b[0m \u001b[32m----------------------------\u001b[30m\u001b[2m--\u001b[0m\u001b[0m 31.39 MiB/33.57 MiB " | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[1A\r", | |
| "\u001b[2K\u001b[1B\r", | |
| "\u001b[2K\u001b[1A\u001b[37m⠇\u001b[0m \u001b[2mPreparing packages...\u001b[0m (21/23) \r", | |
| "\u001b[2K\u001b[2mPrepared \u001b[1m23 packages\u001b[0m \u001b[2min 1.59s\u001b[0m\u001b[0m\r\n" | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\u001b[2mUninstalled \u001b[1m1 package\u001b[0m \u001b[2min 98ms\u001b[0m\u001b[0m\r\n", | |
| "░░░░░░░░░░░░░░░░░░░░ [0/0] \u001b[2mInstalling wheels... \u001b[0m\r", | |
| "\u001b[2K░░░░░░░░░░░░░░░░░░░░ [0/23] \u001b[2mInstalling wheels... \u001b[0m\r", | |
| "\u001b[2K░░░░░░░░░░░░░░░░░░░░ [0/23] \u001b[2mkiwisolver==1.4.9 \u001b[0m\r", | |
| "\u001b[2K░░░░░░░░░░░░░░░░░░░░ [1/23] \u001b[2mkiwisolver==1.4.9 \u001b[0m\r", | |
| "\u001b[2K░░░░░░░░░░░░░░░░░░░░ [1/23] \u001b[2mcycler==0.12.1 \u001b[0m\r", | |
| "\u001b[2K█░░░░░░░░░░░░░░░░░░░ [2/23] \u001b[2mcycler==0.12.1 \u001b[0m\r", | |
| "\u001b[2K█░░░░░░░░░░░░░░░░░░░ [2/23] \u001b[2mpyparsing==3.3.2 \u001b[0m\r", | |
| "\u001b[2K██░░░░░░░░░░░░░░░░░░ [3/23] \u001b[2mpyparsing==3.3.2 \u001b[0m\r", | |
| "\u001b[2K██░░░░░░░░░░░░░░░░░░ [3/23] \u001b[2mcontourpy==1.3.3 \u001b[0m\r", | |
| "\u001b[2K███░░░░░░░░░░░░░░░░░ [4/23] \u001b[2mcontourpy==1.3.3 \u001b[0m\r", | |
| "\u001b[2K███░░░░░░░░░░░░░░░░░ [4/23] \u001b[2mthreadpoolctl==3.6.0 \u001b[0m\r", | |
| "\u001b[2K████░░░░░░░░░░░░░░░░ [5/23] \u001b[2mthreadpoolctl==3.6.0 \u001b[0m\r", | |
| "\u001b[2K████░░░░░░░░░░░░░░░░ [5/23] \u001b[2mjupyter-console==6.6.3 \u001b[0m\r", | |
| "\u001b[2K█████░░░░░░░░░░░░░░░ [6/23] \u001b[2mjupyter-console==6.6.3 \u001b[0m\r", | |
| "\u001b[2K█████░░░░░░░░░░░░░░░ [6/23] \u001b[2mregex==2026.2.28 \u001b[0m\r", | |
| "\u001b[2K██████░░░░░░░░░░░░░░ [7/23] \u001b[2mregex==2026.2.28 \u001b[0m\r", | |
| "\u001b[2K██████░░░░░░░░░░░░░░ [7/23] \u001b[2mjupyter==1.1.1 \u001b[0m\r", | |
| "\u001b[2K██████░░░░░░░░░░░░░░ [8/23] \u001b[2mjupyter==1.1.1 \u001b[0m\r", | |
| "\u001b[2K██████░░░░░░░░░░░░░░ [8/23] \u001b[2mipywidgets==8.1.8 \u001b[0m\r", | |
| "\u001b[2K███████░░░░░░░░░░░░░ [9/23] \u001b[2mipywidgets==8.1.8 \u001b[0m" | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\r", | |
| "\u001b[2K████████████████░░░░ [19/23] \u001b[2mscikit-learn==1.8.0 \u001b[0m" | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\r", | |
| "\u001b[2K███████████████████░ [22/23] \u001b[2mjupyterlab==4.5.5 \u001b[0m\r", | |
| "\u001b[2K\u001b[2mInstalled \u001b[1m23 packages\u001b[0m \u001b[2min 104ms\u001b[0m\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mcontourpy\u001b[0m\u001b[2m==1.3.3\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mcycler\u001b[0m\u001b[2m==0.12.1\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mfonttools\u001b[0m\u001b[2m==4.61.1\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mipywidgets\u001b[0m\u001b[2m==8.1.8\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mjoblib\u001b[0m\u001b[2m==1.5.3\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mjupyter\u001b[0m\u001b[2m==1.1.1\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mjupyter-console\u001b[0m\u001b[2m==6.6.3\u001b[0m\r\n", | |
| " \u001b[31m-\u001b[39m \u001b[1mjupyterlab\u001b[0m\u001b[2m==4.4.8\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mjupyterlab\u001b[0m\u001b[2m==4.5.5\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mjupyterlab-widgets\u001b[0m\u001b[2m==3.0.16\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mkiwisolver\u001b[0m\u001b[2m==1.4.9\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mmatplotlib\u001b[0m\u001b[2m==3.10.8\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mnltk\u001b[0m\u001b[2m==3.9.3\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mnotebook\u001b[0m\u001b[2m==7.5.4\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mpandas\u001b[0m\u001b[2m==3.0.1\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mpillow\u001b[0m\u001b[2m==12.1.1\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mpyparsing\u001b[0m\u001b[2m==3.3.2\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mregex\u001b[0m\u001b[2m==2026.2.28\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mscikit-learn\u001b[0m\u001b[2m==1.8.0\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mscipy\u001b[0m\u001b[2m==1.17.1\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mseaborn\u001b[0m\u001b[2m==0.13.2\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mthreadpoolctl\u001b[0m\u001b[2m==3.6.0\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mtqdm\u001b[0m\u001b[2m==4.67.3\u001b[0m\r\n", | |
| " \u001b[32m+\u001b[39m \u001b[1mwidgetsnbextension\u001b[0m\u001b[2m==4.0.15\u001b[0m\r\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Install all dependencies in a single command\n", | |
| "!uv pip install numpy pandas scipy scikit-learn matplotlib seaborn nltk tqdm jupyter" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "All libraries imported successfully!\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Import required libraries\n", | |
| "import numpy as np\n", | |
| "import pandas as pd\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import seaborn as sns\n", | |
| "from scipy import sparse\n", | |
| "from scipy.spatial.distance import cdist, dice\n", | |
| "from sklearn.cluster import KMeans\n", | |
| "from sklearn.linear_model import LogisticRegression\n", | |
| "from sklearn.metrics import roc_auc_score, roc_curve\n", | |
| "from sklearn.model_selection import train_test_split\n", | |
| "from collections import defaultdict, Counter\n", | |
| "from itertools import combinations\n", | |
| "import warnings\n", | |
| "warnings.filterwarnings('ignore')\n", | |
| "\n", | |
| "# Set random seed for reproducibility\n", | |
| "np.random.seed(42)\n", | |
| "\n", | |
| "# Configure plotting\n", | |
| "plt.style.use('seaborn-v0_8-darkgrid')\n", | |
| "sns.set_palette(\"husl\")\n", | |
| "%matplotlib inline\n", | |
| "\n", | |
| "print(\"All libraries imported successfully!\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "---\n", | |
| "\n", | |
| "## 2. Data Generation\n", | |
| "\n", | |
| "Since we cannot use the full 18,000+ neuroimaging articles from the paper, we'll generate **synthetic data** that mirrors the structure and characteristics of the real data.\n", | |
| "\n", | |
| "### Data Structure\n", | |
| "\n", | |
| "Each neuroimaging article contains:\n", | |
| "- **Mental function terms**: Words/phrases extracted from the article text (e.g., \"attention\", \"working memory\", \"emotion\")\n", | |
| "- **Brain structure activations**: Anatomical regions identified from coordinate data (e.g., \"prefrontal cortex\", \"amygdala\")\n", | |
| "\n", | |
| "### Scaling to Full Data\n", | |
| "\n", | |
| "For the full paper replication:\n", | |
| "- Use 18,155 real neuroimaging articles from BrainMap, Neurosynth, and web scraping\n", | |
| "- Extract terms from actual article PDFs using NLP (NLTK preprocessing)\n", | |
| "- Map coordinates to 118 bilateral gray matter structures using FSL atlasquery\n", | |
| "- This would require significant computational resources (multi-core CPU, 16GB+ RAM)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Dataset dimensions:\n", | |
| " Articles: 500\n", | |
| " Brain structures: 30\n", | |
| " Mental function terms: 200\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Define dimensions based on the paper\n", | |
| "N_ARTICLES = 500 # Paper used 18,155 articles\n", | |
| "N_STRUCTURES = 30 # Paper used 118 bilateral gray matter structures\n", | |
| "N_TERMS = 200 # Paper used 1,683 mental function terms\n", | |
| "\n", | |
| "# Generate synthetic brain structure names\n", | |
| "# In the real data, these would be actual anatomical regions from atlases\n", | |
| "structure_names = [\n", | |
| " f\"structure_{i:03d}\" for i in range(N_STRUCTURES)\n", | |
| "]\n", | |
| "\n", | |
| "# Example real structure names from the paper:\n", | |
| "# \"prefrontal_cortex_left\", \"amygdala_right\", \"hippocampus_left\", etc.\n", | |
| "\n", | |
| "# Generate synthetic mental function terms\n", | |
| "# In the real data, these come from RDoC, BrainMap Taxonomy, and Cognitive Atlas\n", | |
| "term_names = [\n", | |
| " f\"term_{i:03d}\" for i in range(N_TERMS)\n", | |
| "]\n", | |
| "\n", | |
| "# Example real terms from the paper:\n", | |
| "# \"working memory\", \"attention\", \"emotion regulation\", \"reward processing\", etc.\n", | |
| "\n", | |
| "print(f\"Dataset dimensions:\")\n", | |
| "print(f\" Articles: {N_ARTICLES}\")\n", | |
| "print(f\" Brain structures: {N_STRUCTURES}\")\n", | |
| "print(f\" Mental function terms: {N_TERMS}\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Generated synthetic data with realistic domain structure\n", | |
| " Term occurrences: 10204 total\n", | |
| " Structure occurrences: 4960 total\n", | |
| " Mean terms per article: 20.4\n", | |
| " Mean structures per article: 9.9\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Generate synthetic co-occurrence data with realistic patterns\n", | |
| "# We'll create 6 underlying \"true\" domains that influence the data generation\n", | |
| "\n", | |
| "N_TRUE_DOMAINS = 6\n", | |
| "\n", | |
| "# Assign structures to domains (some structures may be in multiple domains)\n", | |
| "structure_domain_probs = np.random.dirichlet(np.ones(N_TRUE_DOMAINS) * 2, N_STRUCTURES)\n", | |
| "\n", | |
| "# Assign terms to domains (some terms may relate to multiple domains)\n", | |
| "term_domain_probs = np.random.dirichlet(np.ones(N_TRUE_DOMAINS) * 2, N_TERMS)\n", | |
| "\n", | |
| "# Generate article-domain associations\n", | |
| "article_domains = np.random.choice(N_TRUE_DOMAINS, N_ARTICLES)\n", | |
| "\n", | |
| "# Generate term occurrences: binary matrix (articles x terms)\n", | |
| "# Each article has terms related to its domain\n", | |
| "term_occurrence_matrix = np.zeros((N_ARTICLES, N_TERMS), dtype=int)\n", | |
| "\n", | |
| "for i in range(N_ARTICLES):\n", | |
| " domain = article_domains[i]\n", | |
| " # Sample 10-30 terms per article, biased toward the article's domain\n", | |
| " n_terms_in_article = np.random.randint(10, 31)\n", | |
| " term_probs = term_domain_probs[:, domain]\n", | |
| " term_probs = term_probs / term_probs.sum()\n", | |
| " selected_terms = np.random.choice(\n", | |
| " N_TERMS, \n", | |
| " size=n_terms_in_article, \n", | |
| " replace=False, \n", | |
| " p=term_probs\n", | |
| " )\n", | |
| " term_occurrence_matrix[i, selected_terms] = 1\n", | |
| "\n", | |
| "# Generate structure occurrences: binary matrix (articles x structures)\n", | |
| "# Each article has structures related to its domain\n", | |
| "structure_occurrence_matrix = np.zeros((N_ARTICLES, N_STRUCTURES), dtype=int)\n", | |
| "\n", | |
| "for i in range(N_ARTICLES):\n", | |
| " domain = article_domains[i]\n", | |
| " # Sample 5-15 structures per article, biased toward the article's domain\n", | |
| " n_structures_in_article = np.random.randint(5, 16)\n", | |
| " structure_probs = structure_domain_probs[:, domain]\n", | |
| " structure_probs = structure_probs / structure_probs.sum()\n", | |
| " selected_structures = np.random.choice(\n", | |
| " N_STRUCTURES, \n", | |
| " size=n_structures_in_article, \n", | |
| " replace=False, \n", | |
| " p=structure_probs\n", | |
| " )\n", | |
| " structure_occurrence_matrix[i, selected_structures] = 1\n", | |
| "\n", | |
| "print(\"Generated synthetic data with realistic domain structure\")\n", | |
| "print(f\" Term occurrences: {term_occurrence_matrix.sum()} total\")\n", | |
| "print(f\" Structure occurrences: {structure_occurrence_matrix.sum()} total\")\n", | |
| "print(f\" Mean terms per article: {term_occurrence_matrix.sum(axis=1).mean():.1f}\")\n", | |
| "print(f\" Mean structures per article: {structure_occurrence_matrix.sum(axis=1).mean():.1f}\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "---\n", | |
| "\n", | |
| "## 3. Train/Validation/Test Split\n", | |
| "\n", | |
| "Following the paper's methodology, we split the data into:\n", | |
| "- **Training set**: 70% (for clustering and classifier training)\n", | |
| "- **Validation set**: 20% (for hyperparameter optimization)\n", | |
| "- **Test set**: 10% (for final unbiased evaluation)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Data split:\n", | |
| " Training set: 350 articles (70.0%)\n", | |
| " Validation set: 100 articles (20.0%)\n", | |
| " Test set: 50 articles (10.0%)\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Split indices\n", | |
| "indices = np.arange(N_ARTICLES)\n", | |
| "\n", | |
| "# First split: 80% train+val, 20% test (but we'll use 10% test)\n", | |
| "train_val_idx, test_idx = train_test_split(\n", | |
| " indices, test_size=0.1, random_state=42\n", | |
| ")\n", | |
| "\n", | |
| "# Second split: from train+val, split into 70% train and 20% val\n", | |
| "train_idx, val_idx = train_test_split(\n", | |
| " train_val_idx, test_size=0.222, random_state=42 # 0.222 * 0.9 ≈ 0.2\n", | |
| ")\n", | |
| "\n", | |
| "print(f\"Data split:\")\n", | |
| "print(f\" Training set: {len(train_idx)} articles ({len(train_idx)/N_ARTICLES*100:.1f}%)\")\n", | |
| "print(f\" Validation set: {len(val_idx)} articles ({len(val_idx)/N_ARTICLES*100:.1f}%)\")\n", | |
| "print(f\" Test set: {len(test_idx)} articles ({len(test_idx)/N_ARTICLES*100:.1f}%)\")\n", | |
| "\n", | |
| "# Create split datasets\n", | |
| "train_terms = term_occurrence_matrix[train_idx]\n", | |
| "train_structures = structure_occurrence_matrix[train_idx]\n", | |
| "\n", | |
| "val_terms = term_occurrence_matrix[val_idx]\n", | |
| "val_structures = structure_occurrence_matrix[val_idx]\n", | |
| "\n", | |
| "test_terms = term_occurrence_matrix[test_idx]\n", | |
| "test_structures = structure_occurrence_matrix[test_idx]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "---\n", | |
| "\n", | |
| "## 4. PMI-Weighted Co-occurrence Computation\n", | |
| "\n", | |
| "The paper uses **Pointwise Mutual Information (PMI)** to weight co-occurrences between mental function terms and brain structures. This measures how much more likely a term and structure co-occur than would be expected by chance.\n", | |
| "\n", | |
| "### PMI Formula\n", | |
| "\n", | |
| "$$\\text{PMI}(\\text{term}, \\text{structure}) = \\log \\frac{P(\\text{term}, \\text{structure})}{P(\\text{term}) \\cdot P(\\text{structure})}$$\n", | |
| "\n", | |
| "Where:\n", | |
| "- $P(\\text{term}, \\text{structure})$ is the joint probability (both occur in an article)\n", | |
| "- $P(\\text{term})$ and $P(\\text{structure})$ are marginal probabilities\n", | |
| "\n", | |
| "The paper uses **PPMI (Positive PMI)**: PMI values below 0 are set to 0." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "PMI co-occurrence matrix shape: (30, 200)\n", | |
| " (brain structures × mental function terms)\n", | |
| "Non-zero PMI values: 2923 / 6000\n", | |
| "Mean PMI (non-zero): 0.179\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "def compute_pmi_cooccurrence(term_matrix, structure_matrix):\n", | |
| " \"\"\"\n", | |
| " Compute PMI-weighted co-occurrence matrix between terms and structures.\n", | |
| " \n", | |
| " Args:\n", | |
| " term_matrix: Binary matrix (n_articles x n_terms)\n", | |
| " structure_matrix: Binary matrix (n_articles x n_structures)\n", | |
| " \n", | |
| " Returns:\n", | |
| " pmi_matrix: PMI-weighted co-occurrence (n_structures x n_terms)\n", | |
| " \"\"\"\n", | |
| " n_articles = term_matrix.shape[0]\n", | |
| " \n", | |
| " # Compute co-occurrence matrix: (structures x terms)\n", | |
| " # co_occur[i, j] = number of articles where structure i and term j both occur\n", | |
| " co_occur = structure_matrix.T @ term_matrix # (n_structures x n_terms)\n", | |
| " \n", | |
| " # Compute marginal probabilities\n", | |
| " p_structure = structure_matrix.sum(axis=0) / n_articles # (n_structures,)\n", | |
| " p_term = term_matrix.sum(axis=0) / n_articles # (n_terms,)\n", | |
| " \n", | |
| " # Compute joint probability\n", | |
| " p_joint = co_occur / n_articles # (n_structures x n_terms)\n", | |
| " \n", | |
| " # Compute expected probability (independence assumption)\n", | |
| " p_expected = np.outer(p_structure, p_term) # (n_structures x n_terms)\n", | |
| " \n", | |
| " # Compute PMI (with small epsilon to avoid log(0))\n", | |
| " epsilon = 1e-10\n", | |
| " pmi_matrix = np.log((p_joint + epsilon) / (p_expected + epsilon))\n", | |
| " \n", | |
| " # Apply Positive PMI (PPMI): set negative values to 0\n", | |
| " pmi_matrix = np.maximum(pmi_matrix, 0)\n", | |
| " \n", | |
| " return pmi_matrix\n", | |
| "\n", | |
| "# Compute PMI-weighted co-occurrences on training set\n", | |
| "pmi_cooccurrence = compute_pmi_cooccurrence(train_terms, train_structures)\n", | |
| "\n", | |
| "print(f\"PMI co-occurrence matrix shape: {pmi_cooccurrence.shape}\")\n", | |
| "print(f\" (brain structures × mental function terms)\")\n", | |
| "print(f\"Non-zero PMI values: {(pmi_cooccurrence > 0).sum()} / {pmi_cooccurrence.size}\")\n", | |
| "print(f\"Mean PMI (non-zero): {pmi_cooccurrence[pmi_cooccurrence > 0].mean():.3f}\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Visualize PMI Co-occurrence Matrix" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
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| |
| "text/plain": [ | |
| "<Figure size 1200x800 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "transient": {} | |
| } | |
| ], | |
| "source": [ | |
| "# Visualize a subset of the PMI matrix\n", | |
| "plt.figure(figsize=(12, 8))\n", | |
| "sns.heatmap(\n", | |
| " pmi_cooccurrence[:20, :40], # Show first 20 structures, 40 terms\n", | |
| " cmap='YlOrRd',\n", | |
| " cbar_kws={'label': 'PMI value'},\n", | |
| " xticklabels=False,\n", | |
| " yticklabels=[f\"S{i}\" for i in range(20)]\n", | |
| ")\n", | |
| "plt.xlabel('Mental Function Terms')\n", | |
| "plt.ylabel('Brain Structures')\n", | |
| "plt.title('PMI-Weighted Co-occurrence Matrix (subset)')\n", | |
| "plt.tight_layout()\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "---\n", | |
| "\n", | |
| "## 5. K-means Clustering of Brain Structures into Circuits\n", | |
| "\n", | |
| "The paper clusters brain structures into \"circuits\" (functional groupings) using k-means clustering based on their PMI-weighted co-occurrence profiles with mental function terms.\n", | |
| "\n", | |
| "### Method\n", | |
| "\n", | |
| "- Each brain structure is represented by its PMI co-occurrence vector with all mental function terms\n", | |
| "- K-means groups structures with similar functional associations\n", | |
| "- The paper tests k values from 2 to 20 and selects k=6 based on performance metrics\n", | |
| "\n", | |
| "### Scaling Note\n", | |
| "\n", | |
| "With 118 structures and 1,683 terms in the full data, k-means is still computationally efficient (< 1 minute)." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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durTU+xk5ciStW7cOPzcMg1tuuQW73c7s2bPDyz/44AMCgQBXX3019evXDy93uVzcdtttAEW2L7z8aOXKleFlq1atomvXrpx33nl8//335OTkFNmmcMTnyRgxYgROp5OZM2cCBZeiL1u2jOHDh5f4V97333+f7OxsbrnllmKjZYcMGUK7du348MMPTzrLxIkTadasWfi5x+Nh6NChhEIhNmzYEF5eWKfrr7++yAjLmjVrhkcgHDtNwpw5cwC47rrriI2NDS+vW7cuEydOPOmckfh8Pj788ENq1arFn//85yLr+vTpw3nnncfOnTv57rvvir120qRJJzVv2+HDhwGoV6/eCbctfK8dOnSo2Lq//OUvRb7G9erVY+LEieHPpSwMGzaMjh07hp/Hx8dzwQUXkJeXx2WXXVZkBET9+vU566yz2LZtW5HpQpKTk4mLiyu27xEjRhAfH19sqpBTlZeXx7XXXsucOXO44YYbuPfee7HZ9F+6iIjI6erfvz933nknpmkydepUJk2aRI8ePRg4cCD/+Mc/+Omnn8rkOHfddVeRc5uePXtyxhlnsH79+vCy0zlnK63XX38dKLia6thzT8MwuO222zAMo8zOtcrqvDwuLo7JkyfTsmVLPvvsM26//XYGDRpEt27duOaaa/j000+LvebNN9/Ebrdz//334/F4iqzzeDzhEdZ79+5l1apVtGjRgnHjxhXZ7vLLL6dZs2asXLmSffv2FTvGDTfcEN5Poc8++4w9e/YwadIk2rZtW2Td2WefTf/+/fn8889POM1AfHw8AwYM4McffyzyuwYQnj5uxIgRRZY7nU4cjuIXVxeOVC4tnXeKWEfTI4hUAr169So21+epiHTp1BlnnEG9evXYunUrPp8Pl8vFxo0bASLOBdWlSxfcbjebNm0KL2vZsiVJSUnheV/T09PZunVreP7PyZMn880339CnT5/wNj169Djp/MnJyfTp04f58+dz9913M2fOHILBYHjKgUgK5yVbt24du3btKrbe6/WSkZER8QZnx9OuXbtiywobk5mZmeFlx6tl4bJja7l582Yg8tfqdC99K7R9+3a8Xi/du3cnJiYmYq4vv/ySjRs3FjvmsU3NiuJwOOjSpUux5YXZfvjhhzI5TqRLIFNSUo67LhgMkpaWVmQ+tU8++YR33nmHDRs2kJmZWWQuuMKbw52O/Px8rrrqKtatW8cDDzzAZZdddtr7FBERkV9dffXVjB07lqVLl7J69WrWr1/PunXreOONN3jvvff497//Hb4PwqmoUaNGxMvh69atGz53hdM7ZyuttWvXEhsbGx4U8Vsej4ft27ef0r5/qyzPy9u2bcsHH3zA6tWrWbVqFRs2bODbb79lyZIlLFmyhGHDhvH4449jGAY5OTls27aNxo0b06RJk+Put/DcvVu3bsXmNC6cFm779u1s3LixyOAWiHyeXPg579ixo8gct4UOHTpEKBRix44ddOjQ4bjZhg8fzrx583j//ffDv4tkZ2ezZMkSUlNTiwzOufjii3n88ccZOnQoQ4cOpUePHpx11lknfcNfnXeKWEtNW5FqpKT5R2vXrs2ePXvIycnB5XKF/9IbaXvDMKhduzYHDhwosuycc85hwYIFHDhwgO+++w7TNOnRowetWrXC7XazatUq+vTpw1dffUXjxo1LNfIykjFjxrBw4UI+/vhjZs2aRbt27YqcoPzW0aNHgYI5aI8nLy/vpHJEOuGx2+0A4RtXQcGJlM1mi3jiWbt2bQzDKPKX9aysLGw2W8S/gJ9o/tjSKjxeSXPMFjYqI/3F/2Qz1K5dm+3bt7N///4iI5MjKRyxUHj8QomJiRH/ml+YpaxugBDpa1o4OuF46/x+f3jZ1KlTeeyxx0hKSuK8886jXr164dEcr776apFtT1VOTg4//PADtWrVivjHABERETl98fHxDB48mMGDBwMF52hPPfUUb775Jn/729/o3bv3Kc/nWdL89g6Ho9h5JJzaOVtpHT16lEAgEL6ZayS5ubmnvP/fHgvK7rzcMAy6du1K165dgYI5VxctWsTtt9/OBx98wEUXXcTAgQPD9TneTYsLnU7NI72m8HP+4IMPjnvc0nzOvXr1onbt2syfP5877rgDu93OggULyM/PLzbKdtKkSdSqVYu33nqLadOmMXXqVBwOB3369OGuu+464Ry6hXTeKWItNW1FqpGS7l5/+PBhDMMIX9Zd2KBKS0srdumSaZocPny4WBOre/fuLFiwgFWrVrF69WoSEhJo27Ytdrudzp07s2rVKn766ScOHDhQ7FKjk9GnTx9SUlJ44oknOHDgAPfdd99xty/M+cEHH5CamnrKxz1V8fHxhEIh0tPTizU809LSME2zSC0TEhIIhUJkZGQUa/SW9PU7lUzw69QFv1W4PFKjMtJdlI+na9eufPXVV6xYsaLIzeh+a9u2bRw8eJC6desWG7WQkZFBKBQq1rgtrMfJjhgoL4FAgP/+97+kpKTw/vvvF/l6m6bJlClTyuQ4ycnJPPDAA1x33XVMmDCB6dOnn7AhLiIiIqcnISGBe++9l88//5w9e/awZcsW2rdvX67HPJVztsJztUAgUOzS+KysrBKPUXg1XHkq7/NywzAYMGAAV111FZMnT2blypUMHDgwfNxjB52cKGNJNS+cxqu058mF273wwgv07du3dJ9ICex2O0OGDOHVV19l+fLl9O7dm/fffx+bzcawYcOKZbnkkku45JJLyMjI4Ntvv2XevHl89NFH7Ny5k7lz54YHnByPzjtFrKWJSESqkW+++abYsj179rB//35atmwZHi1QeCl4pJO3tWvX4vV6i41uPXZe21WrVtGtW7fwiUCPHj3YuHFjeH6pU5nPtpDdbmfkyJEcOHAAt9vN0KFDj7t94WVKx15qdqL9A0UuaT8dx6vlV199BVCklq1atQIif60iLTsVzZo1w+128/3330f8q35h1rK4Y/KIESOw2WzMmDGD9PT0Erd74YUXACJOdREIBFi9enWx5YX1OHZ+sMLG7rGjVCpKRkYGWVlZdOnSpViD/vvvvyc/P7/MjtW7d2+ef/55srKymDhxYpldtigiIiIlMwwj4jQF5eVUztlq1qwJFG9QhkKhIlNyFerYsSNHjhwp9Vy9hedaJZ0rH2/9yZ6Xn6pj5+aFgjlwW7Rowe7du0/4eRbW8ptvvsE0zSLrTNMMn3+W9jy5rD/nwhG1c+fOZd++fXz99dd07979uKOIExMTGTBgAE8//TQ9evTgxx9/ZOfOnaU+ps47Rayjpq1INTJnzpwiJ2umafLUU08RDAYZNWpUePmwYcNwOBy88sorRU74fD4fTzzxBECR7QGaN29OSkoKS5YsYdu2bUXmrO3evTvBYJCpU6eGn5+Oq6++msmTJ/Pyyy9To0aN4247ZswY4uLi+Pe//83WrVuLrc/LyytyElWjRg0Mw2D//v2nlbFQYZ0mT55cbBqEwsvQjq1l4YnY5MmTi1yKduDAAaZPn14mmVwuF0OGDCEjI4MXX3yxyLovvviCZcuW0bhx4/ClZqejWbNmTJw4kSNHjnDNNdcUm9M1FAoxefJk5s6dS6NGjZg0aVLE/fz73//G5/OFn+/fv5/p06eHP5dChTd/iHRziPKWnJyMx+Nhw4YNRX6xOnr0KA899FCZH++8887jhRdeCJ9Ab9u2rcyPISIiUt28/fbbrFu3LuK6hQsXsm3bNmrUqFEhV3Cdyjlb4byox940GGDatGns3r272DEmTJgAwN13301GRkax9YcOHSpyjlF4rlXSuXJh0zjSudjJnpeXZN26dcyZMwev11tsXXp6Ou+++y4AZ511Vnj5FVdcQTAY5IEHHij2h3Sv18uRI0cAaNCgAd27d2fr1q289957RbZ75513wr/n/PbKsJIMGDCABg0aMG3aNL7++uti6/1+/0kNzGjXrh0tWrRg4cKFvP3225imWWxqBCho6P+26ez3+8PTNbjd7lIfE3TeKWIVTY8gUgn8/PPPESeuL/SnP/2pVP/x9urVi8suu4yLL76YpKQkVqxYwfr16+ncuTPjx48Pb9eoUSNuu+02Hn30UYYPH87gwYOJiYlhyZIl7Nixg/79+0c8OejevTvz5s0LPy7UsWNHYmNjSU9Pp2nTptSpU+dkPv1ikpOTGTBgQKm2TUpK4qmnnuKmm25ixIgR9O7dm2bNmuHz+dizZw9fffUVXbp0Cd/oLS4ujg4dOvD111/z17/+lcaNG2Oz2RgxYkSxqSJKo1u3bkyYMIHXXnuNoUOHcuGFF2KaJp988gn79+9nwoQJdOvWLbx9jx49GD16NLNmzWLYsGEMHDgQn8/H/Pnz6dy5M0uWLDnpDJH89a9/5euvv+b5559n9erVdOrUiT179rBgwQJiYmL45z//WWZ3hf3rX/9KVlYWM2fO5KKLLqJPnz40atSI7OxsvvzyS3766SeaNGnCSy+9FPFSs5SUFHJzcxk+fDh9+/YlLy+Pjz76iCNHjnDPPfcUGVnQvXt3DMPgqaeeYuvWrSQkJFCjRo0i7+/yYrPZuOKKK5g6dSojRoygb9++ZGdn88UXX3DGGWec9vs+kp49e/LCCy/w5z//mSuvvJJXX32V5s2bl/lxREREqosvvviC++67L9wMrVOnDrm5uWzcuJFvvvkGm83Gfffdd8rz2Z6skz1nGz16NFOmTOHZZ59l48aNNGrUiPXr17NlyxbOOeec8JVehc4//3yuvfZa/vvf/3LhhRfSu3dvGjRowJEjR9i5cyfffvstN998c/j8onPnzng8Hl599VWOHj0ans7r2muvBQrOZT/++GNuvPFGevfujdvtpnXr1vTr1++kz8tLcvDgQe644w7+8Y9/0K1bN5o1a4bdbmfv3r0sWbKE3NxcLrjgAgYNGhR+zRVXXMHXX3/NRx99xIUXXki/fv2Ij49n3759LFu2jIcffjj8+8X999/PFVdcwd///neWLFlCixYt2Lp1K4sXLyYpKYn777+/1F8/l8vFf/7zH/74xz8yfvx4evToQWpqKoZhsHfvXr755htq1arFggULSr3PESNG8OSTT/Lyyy8TExPDhRdeWGyb6667jvj4eDp16kSDBg0IBAIsX76cH3/8kYsuuuiUfq/ReadIxVPTVqQS+Pnnn497c4Arr7yyVE3bq6++mv79+/Pqq6+yc+dOatasycSJE7npppuKnXheffXVNGrUiFdeeYW5c+fi9/tp0qQJd955JxMmTIg4Z1Nh0zYxMTF8mT+A0+mka9euLFu27LSmRjhVF1xwAbNnz+bll19mxYoVfPnll8TGxlK3bl1Gjx7N8OHDi2z/r3/9i0ceeYTPPvuMrKwsTNPkrLPOOqWTG4B77rmHNm3a8NZbbzFjxgwAWrRowY033hhxOoCHHnqIpk2bMmPGDF5//XXq1avH1VdfzeDBg8usaZuUlMSMGTP473//y+LFi/n222+Jj4+nf//+XH/99WU6esThcPDPf/6ToUOH8s477/Dtt9+ycOFCYmJiaN68OZdddhmXX355+IZdv+VyuZg2bRpPPvkkc+fOJTMzk2bNmvH3v/+92PQYLVq04JFHHmHq1Km8/vrr+Hw+zjjjjApp2gLccsst1KxZk9mzZ/Pmm29Su3Zthg4dyvXXX19srrGy0rNnT1588UWuueYaJk6cyKuvvkqLFi3K5VgiIiJV3W233UbXrl1Zvnw5X3/9dXgO07p16zJq1CjGjx9f7nPZHutkz9lq167N9OnTefTRR/nyyy9ZuXIl3bt3Z8aMGTz//PMRj3HTTTfRrVs3pk+fzooVK8jKyqJWrVo0bNiw2DlMrVq1eOaZZ3j22Wd59913w6NWC5u248aNY8+ePcyfP58pU6YQCAQYNWoU/fr1A07+vDySHj168Pjjj7Ns2TJ++OEHvvvuO3Jzc6lRowadOnVi6NChjBo1qkgz2zAM/v3vf3Peeefx3nvv8f7772OaJnXr1mXQoEG0a9cuvG2zZs2YOXMmzz33HEuXLuXzzz8nMTGR0aNHc/3115/07wQdO3Zk7ty5TJkyhS+++ILvvvsOl8tF3bp1GTBgQJGrxkpj2LBh/Pvf/8bv93PRRReF70tyrFtuuYWlS5fy/fffs2TJEmJiYmjUqBH3338/l1xyyUkd71g67xSpWIb52zHzIiIiUaLwBH/x4sUWJxERERERERGpOJrTVkRERERERERERCSKqGkrIiIiIiIiIiIiEkXUtBURERERERERERGJIprTVkRERERERERERCSKaKStiIiIiIiIiIiISBRR01ZEREREREREREQkiqhpKyIiIiIiIiIiIhJFHFYHKG+HDmVV6PGcTjt+f7BCj1lZqDaRqS4lU20iU11KptpEprqUTLWJzIq6pKQkVOjxqqqKPvcFfR+VRHUpmWoTmepSMtUmMtWlZKpNZKpLySq6NqU599VI2zJmGFYniF6qTWSqS8lUm8hUl5KpNpGpLiVTbSJTXeRk6P0SmepSMtUmMtWlZKpNZKpLyVSbyFSXkkVjbdS0FREREREREREREYkiatqKiIiIiIiIiIiIRBE1bUVERERERERERESiiJq2IiIiIiIiIiIiIlFETVsRERERERERERGRKKKmrYiIiIiIiIiIiEgUUdNWREREREREREREJIqoaSsiIiIiIiIiIiISRdS0FREREREREREREYkiatqKiIiIiIiIiIiIRBE1bUVERERERERERESiiMPqAFVCIIBj4zYcW3dgz/di87gJtGxKoE1zcKjEIiIiIlLFBPNxH5iN+9CH2AMZeByJeFOG4K07Cuweq9OJiIiIVHrqKJ4m+9YdxMxbgpHvxTTAMMEwwLl5B+bCL8kb2o9gyyZWxxQRERERKROug/NJ2HANtsARTGwYhLBjw31wLqHNd5DV/kV8KYOtjikiIiJSqWl6hNNg37qDmPcWQL4XKGjYHvsv+V5i3vsI+9Yd1gQUERERESlDroPzqbH2cozAUQAMQkX/DRylxprLcB2cb1lGERERkapATdtTFQgQM28JAEYJmxQuj5m3BAKBCoklIiIiIlIugvkkbLgGAAMz4iaFyxM2XAPB/AqLJiIiIlLVqGl7ihwbt2Hke0ts2BYyACPfi2PT9oqIJSIiIiJSLtwHZmMLHCmxYVvIwMQWOIL74JyKCSYiIiJSBalpe4ocW3dgnqhj+wvTAMcWNW1FREREpPJyH/oQs5S/PpjYcB+cV86JRERERKouNW1PkZHn/XXu2hNtaxZsLyIiIiJSWRn+9PDctSfclhCGP72cE4mIiIhUXWraniIzxn1SI23NGHf5BhIRERERKUemM+mkRtqazqRyTiQiIiJSdalpe4oCLZue1EjbQPMm5ZpHRERERKQ8eVOGnNRIW2+doeWcSERERKTqUtP2FAXaNMf0uE9wG4ZfOdf+gJGbV66ZRERERETKi7fuKEKOWpgnuBWviUHIUQtvnZEVE0xERESkClLT9lQ5HOQN7QdQYuPWPGadY88BYl+dhS0toyLSiYiIiIiULbuHrPYvApygcWuS1fa/YPdUTC4RERGRKkhN29MQbNmEvEsGgadgvtrCOW7Dc9163Hj79yQUHwuA7UgmsdNnYf9ptwVpRUREREROjy9lMJmd3sJ01AQIz3F77Fy3BuDIWm1FPBEREZEqwzBNs7RX+FdKhw5llf9BAgEcm7bj2LIde76PoMdFILUZgdbNwOHAyMwm5t352A+mAWDabOQPOp9Apzblny2KuFx2fL6g1TGijupSMtUmMtWlZKpNZKpLyVSbyKyoS0pKQoUer6qqkHNfgGA+7oNzcB+chz2QQdCRSCC+HbHb/4VBEBODo2d9iD+pV8XkiUL6+VIy1SYy1aVkqk1kqkvJVJvIVJeSVXRtSnPu66iAHFWfw0GgfSqB9qkRv8hmjXhyx48k5v2FOLbtxAiFiJn/Gd70o/gu6A7G8ecFExERERGJKnYP3vqX4a1/WZHzX9PmIv7HBzAwSVj/RzJ6fonpTLI4rIiIiEjlo+kRKorbRd4lg/Cd3eHXRStX45n9Cfj9FgYTERERESkbeU1uxpd4PgB27x4SfrgRqvaFfSIiIiLlQk3bimSz4R3Yi/yBvTB/GV3r3Lyd2DfmYmTnWhxOREREROQ0GXay2r9EyJkIgPvgXDx7XrU4lIiIiEjlo6atBfxndyDvksGYLicA9n0HiX11JrZf5rwVEREREamsQp4GZLWdHH4ev/kO7DlbLEwkIiIiUvmoaWuRYIvG5E4YRahGPAC2zGxiX5uNfdtOi5OJiIiIiJweX52h5DWcBIARyiPh+99DyGtxKhEREZHKQ01bC4XqJJN75WiC9esAYPj8xLz7Ec5v11ucTERERETk9GSnPkwgrjUAzqx1xG2939pAIiIiIpWImrYWM+PjyP3dcPytmgFgmCaeT5bi/nQZhEIWpxMREREROUX2WDI7TMW0uQGI/XkyzsOfWhxKREREpHJQ0zYaOJ3kj7oQb48u4UWub74n5r0F4PVZGExERERE5NQFE9qT3fLB8PMaG67B8B60MJGIiIhI5aCmbbQwDHx9e5B/8QWYtoIvi2PbTmJfn4ORmW1xOBERERGRU5N/5v/hrX0RADbfIWpsuAZMXVEmIiIicjxq2kYZf6c25F06BNPjAsB+MI3YV2di23fI4mQiIiIiIqfAMMhq9zxBV10AXGkLifn5eYtDiYiIiEQ3NW2jULBJQ3InjiZUqwYAtuxcYt+Yg2PLDouTiYiIiFRfb7zxBv369aNDhw6MHTuWdevWHXf7jz76iEGDBtGhQweGDRvG559/XmT9nXfeSatWrYp8TJo0qcg2/fr1K7bNSy+9VOafW3kzXbXJav9C+Hnc1vtwZK61MJGIiIhIdFPTNkqFkhPJvXI0gYb1ADD8ATwzF+BctQZM09pwIiIiItXM/PnzeeSRR7juuuuYPXs2rVu3ZtKkSaSlpUXc/rvvvuPWW2/lkksuYc6cOfTv35/rrruOLVu2FNmud+/eLFu2LPzx1FNPFdvXjTfeWGSb8ePHl8vnWN78yf3JbXwjAIbpI2H9JAjmWJxKREREJDqpaRvFzNgY8i4fhr9tSwAMwLN4Be4FX0AwaG04ERERkWpk2rRpjBs3jjFjxtCiRQseeOABPB4PM2fOjLj99OnT6d27N3/4wx9o3rw5N998M23btuX1118vsp3L5SIlJSX8UbNmzWL7iouLK7JNbGxsuXyOFSGnxb34EzoD4MjZQvzmu6wNJCIiIhKl1LSNdg4H+cP74+11dniRa80PxMyYD/leC4OJiIiIVA8+n48NGzZw7rnnhpfZbDbOPfdcVq9eHfE1a9asoWfPnkWW9erVizVr1hRZ9tVXX9GzZ08uuugi7rvvPjIyMort63//+x/du3dn5MiRTJkyhUAgcPqflFVsLrI6vIxpK2g8x+x5BdeBOdZmEhEREYlCDqsDSCkYBr7e3Qgl1sQzfwlGMITjp93ETp9N3riLMX+Z+1ZEREREyl5GRgbBYJDk5OQiy5OTk9m+fXvE1xw+fJjatWsX2/7w4cPh571792bgwIE0bNiQXbt28dRTT/HHP/6Rd955B7vdDsCECRNo27YtNWvWZPXq1Tz11FMcOnSIu+6qvCNUg3EtyW79OAk/XAdAwg83klHzbEKehhYnExEREYkeatpWIoH2qeTVTMAzcwG2vHzsaRnEvjqTvDGDCf0y962IiIiIVA5DhgwJPy68ydiAAQPCo28Brr766vA2rVu3xul0ct9993HrrbficrmK7dPptGMY5Z/9WA6H/aRfE2pyJb6Mxbj2zcQWOELNDX8ip8d8ME5+X9HqVOpSXag2kakuJVNtIlNdSqbaRKa6lCwaa6OmbSUTPLM+uVeOJmbGfOzpR7Dl5hP75lzyh/Yj0LaF1fFEREREqpzExETsdnuxm46lpaUVG01bqHbt2kVG1Z5oe4AzzzyTxMREdu7cWWxqhUKdOnUiEAiwe/dumjVrVmy932/NfQ98vpM/rr/Vv0nM+Ap7/i4c6ctwbP4Xuc1uL4d01jmVulQXqk1kqkvJVJvIVJeSqTaRqS4li7baaE7bSshMrEnuxNEEGjcAwAgGiXn/U1xffgumaXE6ERERkarF5XLRrl07VqxYEV4WCoVYsWIFXbp0ifiazp07s3LlyiLLli9fTufOnUs8zv79+zly5AgpKSklbrNx40ZsNluxqRoqI9NZi8wOL2P+8itJ7PZHcBxZZXEqERERkeigpm1lFeMm79Kh+Dq1Di9yf/EVnnmLIRBdfxkQERERqeyuvvpqZsyYwezZs9m2bRv3338/eXl5jB49GoDbb7+dJ598Mrz9xIkTWbp0KVOnTmXbtm08++yzrF+/nvHjxwOQk5PDY489xpo1a9i9ezcrVqzg2muvpXHjxvTu3RuA1atX88orr7Bp0yZ27drF3LlzeeSRRxg+fDg1a9as+CKUg0CtHuQ2uwMAwwxS4/s/YPiPWpxKRERExHqaHqEys9vxDr4AM6kW7iUFIzmc67dgHM0ib/QgiPVYHFBERESkarj44otJT0/nmWee4dChQ7Rp04YpU6aEpzvYt28fNtuv4yG6du3KE088wdNPP81TTz1FkyZNmDx5MqmpqQDY7Xa2bNnCnDlzyMrKok6dOpx33nncdNNN4blqXS4X8+fP57nnnsPn89GwYUOuuuqqIvPcVgW5Tf+KK30JziMrsefvJH7TX8hq/zIVPjmviIiISBQxTLNqX09/6FBWhR7P5bJbMgeGY9M2PB8swvhllG0osSa5Yy/GTK5V4VlKYlVtop3qUjLVJjLVpWSqTWSqS8lUm8isqEtKSkKFHq+qquhzXyib94st72cSV56HLVAwyjaz3Qt4G1xRFvEso58vJVNtIlNdSqbaRKa6lEy1iUx1KVlF16Y0576aHqGKCLRuTu7vRhCKiwHAlnGUuOmzsP+81+JkIiIiIiLHF4ppRHab/4Sfx2+6DVvuNgsTiYiIiFhLTdsqJNSgLrlXjiGYkgSAke8l5q0PcKzbZHEyEREREZHj89YbTV6DCQDYgtnU+P73EPJZnEpERETEGlHVtA0Ggzz99NP069ePjh07MmDAACZPnsyxMziYpsl//vMfevXqRceOHbnqqqv46aefrAsdZcyaCeROGEWg2ZkAGKEQMR8uwfX5KqjaM2GIiIiISCWX3eoxArEtAHBmriZu28MWJxIRERGxRlQ1bf/3v//x1ltvce+99zJ//nxuu+02pkyZwmuvvVZkm9dee43777+fGTNmEBMTw6RJk/B6vRYmjzJuF3ljL8bXtf2vi5Z/h2fOp+APWBhMREREROQ4HPFkdXgZ03ACEPPT0zjTPrM2k4iIiIgFoqppu3r1avr3788FF1xAw4YNGTRoEL169WLdunVAwSjb6dOn8+c//5kBAwbQunVr/vWvf3Hw4EEWLlxocfooY7Phvag3+QPOw/zlzrvOTduIffN9jJxci8OJiIiIiEQWqNGFnBb3AWBgkrD+Txi+NItTiYiIiFSsqGradunShZUrV7Jjxw4ANm3axLfffsv5558PwO7duzl06BDnnntu+DUJCQl06tSJ1atXW5I52vm7dSRvzCBMpwMA+96DxL46C9uhdIuTiYiIiIhEltf4enxJfQGw+/aT8MN1mupLREREqhWH1QGO9ac//Yns7GwGDx6M3W4nGAzyl7/8heHDhwNw6NAhAJKTk4u8Ljk5mcOHD0fcp9Np55eBphXC4bBX3MFKq11z/Mk1cb41DyMzG9vRLGJfm43/koswWzSusBhRWZsooLqUTLWJTHUpmWoTmepSMtUmMtVFLGfYyGr/IokremLzp+E+NB/P7inkn/lHq5OJiIiIVIioatp+9NFHfPDBBzz55JO0aNGCjRs38sgjj1CnTh1GjRp1Svv0+4NlnPLEfL6KP+YJJSXimziamPfmY99/GMPrw/nmPLwX9sbftV2FxYjK2kQB1aVkqk1kqkvJVJvIVJeSqTaRqS5itZC7HlntnqfmmnEAxG/5G/7E8wjGt7U4mYiIiEj5i6rpEf71r3/xpz/9iSFDhtCqVStGjhzJlVdeyYsvvghASkoKAGlpRee0SktLo3bt2hWet7IxE+LI/d1I/KlNATBME8/HX+Be+CWEQhanExEREREpypcyiNwz/w8AI5RPje9/D8E8i1OJiIiIlL+oatrm5+dj/GYuA7vdjvnL/FUNGzYkJSWFFStWhNdnZ2ezdu1aunTpUqFZKy2Xk/zRF+Hr3unXRV+vwzPrY/D5LQwmIiIiIlJcTssHCcQXXBnmyP6B+K1/tziRiIiISPmLqqZt3759eeGFF/jss8/YvXs3n376KdOmTWPAgAEAGIbBxIkTef7551m0aBGbN2/m9ttvp06dOuFtpBQMA2+/c8kf1Afzlya5c+tPxL4+ByMr2+JwIiIiIiLHsHvI7DAN0+YBIGbXS7gOfWRxKBEREZHyZZhm9NyGNTs7m//85z8sXLiQtLQ06tSpw5AhQ7juuutwuVwAmKbJM888w4wZM8jMzOSss87ivvvuo2nTphH3eehQVkV+Crhc9ko1B5x9x25iZn+M4fUBEIqPI2/sYEL1Usr8WJWtNhVFdSmZahOZ6lIy1SYy1aVkqk1kVtQlJSWhQo9XVVX0uS9U3PvFs+tlEjb9BYCQM4mMHisIeeqX+3FPlX6+lEy1iUx1KZlqE5nqUjLVJjLVpWQVXZvSnPtGVdO2PKhpe2K2w+nEzJiP7WhBrUyng7wRAwi2jNwIP1WVsTYVQXUpmWoTmepSMtUmMtWlZKpNZGraVl5VuWmLaVJj7e9wH5oHgC/pAo52nQNGVF08GKafLyVTbSJTXUqm2kSmupRMtYlMdSlZNDZto/MMRypUqHYSuVeOJnhGXQAMf4CY9xbg/GotVO2evoiIiIhUFoZBVttnCboLRte60j8jZuczFocSERERKR9q2goAZlwsuVcMx9+mBQAG4Fm0HPfHSyEUsjaciIiIiAhgupLJav8/TAruyxD34z9wHP3O4lQiIiIiZU9NW/mVw0H+iAF4zzsrvMi1egMxM+ZDvtfCYCIiIiIiBfxJ55PX5BYADDNAwve/xwhU/LQQIiIiIuVJTVspyjDwnX8OeUP7YdoK3h6OHbuIfW02xpFMi8OJiIiIiEBO87vx1ygYaODI20785tstTiQiIiJSttS0lYgCHVqRd/kwTI8bAPvhDGJfnYVtzwGLk4mIiIhItWdzktnhZUL2eAA8e9/Avf89i0OJiIiIlB01baVEwUYNyLlyNKGkmgDYcvOIffN9HBu3WZxMRERERKq7UGwzsls/GX4ev/FmbHk7LUwkIiIiUnbUtJXjMpNqkTNxNIFGDQAwAkFi5nyCa/l3YJoWpxMRERGR6szb4HLy640DwBbIpMb3kyAUsDiViIiIyOlT01ZOLMZD3mVD8XdoFV7k/nwVng+XQDBoYTARERERqe6y2zxFMKYJAM6jXxG74zFrA4mIiIiUATVtpXTsdvKH9MXbp3t4kfP7zcS8PQ/y8i0MJiIiIiLVmemoQWb7KZiGHYDY7Y/jzFhucSoRERGR06OmrZSeYeA7tyt5Iy/EdBScFDt+3kvc9FkY6UeszSYiIiIi1Vag1jnkNrsbAIMQCev/gOHPsDiViIiIyKlT01ZOWqBNc3KvGEEoNgYAW/pR4l6dhX3XXouTiYiIiEh1ldv0FnyJvQGw5+8m4YebdA8GERERqbTUtJVTEjqjLrlXjiZYOxEAI99LzJsf4Ph+s8XJRERERKRaMuxktX+JkKMWAO6Dc/Dsfc3aTCIiUnGC+bj3vkWNteOJWzGIGmvH4977FgQ1paNUTmrayikza9Ugd8IoAk3PBMAIhYiZtxjXF19pVIOIiIiIVLiQ5wyy2k0OP4/fdDv2nC0WJhIRkYrgOjif5C9SqbHh/3AdnIcjfSmug/OoseH/SP4iFdehj6yOKHLS1LSV0+NxkzfuYnxd2oYXub/8Fs/7CyEQgEAAx/eb8cxagPOVWXhmLSgYjRsIWBhaRERERKoqX51h5J3xewCMUC4J30+CkNfiVCIiUl5cB+dTY+3lGIGjQMHc5kX+DRylxprLcB2cb1lGkVPhsDqAVAE2G96LzieUVAv3ouUYgHPjj9gOHMKWk4fh9WEaYJhgGODcvANz4ZfkDe1HsGUTq9OLiIiISBWT3eqfOI98iSNnM86stcRtfYCcVv+0OpaIiJS1YD4JG64BwCDyFb8GJiYGCRuuIS15C9g9FZlQ5JRppK2UDcPAf04n8i4ZhOks+FuAPf0oeH0Fq3/52Vn4L/leYt77CPvWHRaEFREREZEqzR5LZoepmIYLgNifn8N5eKHFoUREpKy5D8zGFjhSYsO2kIGJLXAE98E5FRNMpAyoaStlKtiyKbmXDQv/uDRK2K5wecy8JZoqQURERETKXDChAzmp/wg/r7HhGgzfIQsTiYhIWXMf+hCzlK0tExvug/PKOZFI2VHTVsqcLeNoic3aYxmAke/FsWl7eUcSERERkWoo78w/400eCIDNd5CE9deAGbI4lYiIlBXDnx6eu/aE2xLC8KeXcyKRsqOmrZQ5x9YdmKXp2gKmAY4tatqKiIiISDkwDLLav0DIVQcAd9qnxOx6weJQIiJSVkxn0kmNtDWdSeWcSKTsqGkrZc7I8/46d+2JtjULthcRERERKQ+mK4XMdr82auO23Is9a52FiUREpKx4U4ac1Ehbb52h5ZxIpOyoaStlzoxxn9RIWzPGXb6BRERERKRa89ceQG6j6wEwTB81vv89BHMtTiUiIqfLW3cUIUctzBNM0mhiEHLUwltnZMUEEykDatpKmQu0bHpSI20DTRuVbyARERERqfZyWt6HP6ETAI6cLcRvvsviRCIictrsHrLavwiU3IQobOhmtX8R7J4KCiZy+tS0lTIXaNMc0+M+zo/MotwrvsO2T3fyFREREZFyZHOT1WEqpi0WgJg903AdmGtxKBEROV2+2hcRctYOP//tHLemoyaZnd/GlzK4oqOJnBY1baXsORzkDe0HlPy3LvOYdbajWcS+NgvnN9+DWdpWr4iIiIjIyQnGtSS79b/CzxN+uB5b/m4LE4mIyOlyHlmJ3X8YgEB8W3x1hhJy1AivzzhnkRq2UimpaSvlItiyCXmXDAJPwXy1hXPchue69bjJH9yHYP2CO/kawRCeT5fhmfUx6MZkIiIiIlJO8htMCM9paAscIWH9n8AMWhtKREROmXvf2+HHuU3+Qman1/E1uym8zJWxzIpYIqdNTVspN8GWTcm+YSJ5w/oTSG1KqPEZBFKbkjesP9k3TCTQuS25E0biO6dT+DXOLTuIm/Yutj0HLEwuIiIiIlWWYZDV9j8EPQ2Bgl/mY3c8ZXEoERE5JcF83AdmA2Da4/DWGQpAIGVAeBNX2kJLoomcLofVAaSKczgItE8l0D4Vl8uOz/ebUQx2O97+5xJo1ICYeYsx8r0F0yW8PgfvBd3xn9MJjOPfBVJERERE5GSYzkSy2k+h5jcXYxAidvs/8SX1IVDrHKujiYjISXAd/hhb4CgA3jrDwB4HQLBmF0LOJGz+dJzpn0PIDzanlVFFTppG2kpUCLZsQs7vxxI8ox4ARiiEZ/EKYt77CHLzLU4nIiIiIlWNP/Fccpv9FQDDDFJj/R8w/EctTiUiIifDs++d8OP8+pf9usKw40vqC4AtkInj6DcVHU3ktKlpK1HDrJlA7u+G4+3ZJbzM8eNO4qbOwL57n4XJRERERKQqym16B/6a3QGw5/1E/KZbLU4kIiKlZfjScB3+GICgqx7+pD5F1vtqa4oEqdzUtJXoYrfju6AHueOGEIrxAGDLyiHm9fdxLf8OTNPigCIiIiJSZdgcZHaYEr7LuGf/DNx737I4lIiIlIb7wGwM0w+At/5YMOxF1vuT+oUfu9IWVWg2kbKgpq1EpWDzRuROGkegUQMADNPE/fkqYt75ECMn1+J0IiIiIlJVhGIak93m6fDz+E23Ysvdbl0gEREplaJTI1xabH3IU59AfDsAHJmrMXxpFZZNpCyoaStRy0yII+/yYXjPO4vC8bWOHbuInfou9p17LM0mIiIiIlWHt94l5Df4HQC2YDY1vp9UcNMaERGJSrbc7TiPrgIgEN+WYHyHiNv5kvsDYGDiSl9SYflEyoKathLdbDZ8559D3uXDCMXFFCzKziXmrQ9wLf0aQiGLA4qIiIhIVZDd6l8EYpoB4Mz8lrht/7Q4kYiIlMSzb0b4cX69S8EwIm5X2LQFTZEglY+atlIpBJs0LJguoUlD4JfpEpZ9Q8zb8zCycyxOJyIiItXBG2+8Qb9+/ejQoQNjx45l3bp1x93+o48+YtCgQXTo0IFhw4bx+eefF1l/55130qpVqyIfkyZNKrLNkSNHuPXWW+natStnn302d999Nzk5OvcpD6YjgawOUzENBwAxPz2FM/3zE7xKREQqnGni3vd2wUOMgvlsS+Cv1RPTVjAAzHl4ke6TI5WKmrZSaZhxseRdOgTv+edg/vJXNMfOPcS+/C72HbssTiciIiJV2fz583nkkUe47rrrmD17Nq1bt2bSpEmkpUWeH++7777j1ltv5ZJLLmHOnDn079+f6667ji1bthTZrnfv3ixbtiz88dRTTxVZf9ttt/Hjjz8ybdo0XnjhBb755hvuvffecvs8q7tAza7ktCior4FJwvo/aQ5EEZEo48j8Bkdewdzj/sTehDwNS97Y7sGX1LvgoW8/9uwNFRFRpEyoaSuVi82G77yzyLtiOKH4uIJFuXnEvD0P1+erNF2CiIiIlItp06Yxbtw4xowZQ4sWLXjggQfweDzMnDkz4vbTp0+nd+/e/OEPf6B58+bcfPPNtG3bltdff73Idi6Xi5SUlPBHzZo1w+u2bdvG0qVLeeihh+jUqRNnn30299xzDx9++CEHDhwo18+3OstrfCO+pAsAsHv3kfDD9RqZJSISRTy/jLIFyK9/2Qm392uKBKmk1LSVSinYqAG5k8YSaNYIAANwL/+OmDfnYmRmWxtOREREqhSfz8eGDRs499xzw8tsNhvnnnsuq1evjviaNWvW0LNnzyLLevXqxZo1a4os++qrr+jZsycXXXQR9913HxkZGeF1q1evpkaNGnTo8OvNVc4991xsNtsJp2aQ02DYyGr3IiFnEgDuQx/i2f2yxaFERASAkB/3/oI/mJo2D766w0/4El/ygPBjNW2lMnFYHUDkVJmxMeSNuxjnqjW4P1uFYZo4du0jduq75A/tR7BFY6sjioiISBWQkZFBMBgkOTm5yPLk5GS2b98e8TWHDx+mdu3axbY/fPhw+Hnv3r0ZOHAgDRs2ZNeuXTz11FP88Y9/5J133sFut3P48GGSkpKK7MPhcFCzZk0OHToU8bhOp72ke7GUG4fDXrEHrAiuhuR1epG4bwrmSYzfcjfU6U0ooW2pd1El61JGVJvIVJeSqTaRVce6OA58jM2fDoC/7lCcsYmRtzu2Ns5WhGIaYcv7GeeR5bhs+eCIq4i4Uac6vmdKKxpro6atVG6Ggb9HF4IN6xPz/qfYMrOx5eUT++58fN074+1zDtij7xtPREREZMiQIeHHhTciGzBgQHj07anw+4NlFe+k+HzWHLc8+RIvwnbmH4nZ9T+MUD4x311FxjlLwO4p/T6qYF3KimoTmepSMtUmsupWF/eut8KP8+qOO+7nf+w6b1J/YvZMwwj54MDn+FIuKtec0ay6vWdORrTVRtMjSJUQaliPnN+Pxd+ySXiZa9UaYl9/H+NolnXBREREpNJLTEzEbrcXu+lYWlpasdG0hWrXrl1kVO2Jtgc488wzSUxMZOfOneF9pKenF9kmEAhw9OhRUlJSTuVTkZOU3fIhAvEFo2sd2RuI2/p3ixOJiFRfhv8o7kMfAhBy1sZ3zFy1J3Lstk5NkSCVhJq2UnXEeMgfM4j8Aedh2gre2va9B4ibOgPHlh0WhxMREZHKyuVy0a5dO1asWBFeFgqFWLFiBV26dIn4ms6dO7Ny5coiy5YvX07nzp1LPM7+/fs5cuRIuCHbpUsXMjMzWb9+fXiblStXEgqF6Nix42l8RlJq9hgyO0zFtBWMro3d9SKuQx9ZHEpEpHpyH3wfI+QFIL/eGLA5S/1af1IfTKPgKlzNayuVhZq2UrUYBv5uHcmdMIpQrYSCRfk+YmYuwP3pMghE11B3ERERqRyuvvpqZsyYwezZs9m2bRv3338/eXl5jB49GoDbb7+dJ598Mrz9xIkTWbp0KVOnTmXbtm08++yzrF+/nvHjxwOQk5PDY489xpo1a9i9ezcrVqzg2muvpXHjxvTu3RuA5s2b07t3b/7+97+zbt06vv32Wx588EGGDBlC3bp1K74I1VQwvi3ZqQ+HnydsuBabd7+FiUREqif3vnfCj731Lz2p15rOmgRqdgPAkbsVW97OMs0mUh40p61USaEGdci5eiye+Z/h3FxwgxDXN99j372fvJEDMRNrWpxQREREKpOLL76Y9PR0nnnmGQ4dOkSbNm2YMmVKeLqDffv2YbP9Oh6ia9euPPHEEzz99NM89dRTNGnShMmTJ5OamgqA3W5ny5YtzJkzh6ysLOrUqcN5553HTTfdhMvlCu/niSee4MEHH+TKK6/EZrNx4YUXcs8991TsJy/kN/wDrrRFuA/Nx+ZPI2H9/3G062wwNAZGRKQi2PJ24cpYCkAgtgWBGmed9D58yQNwHim4CsaVtoj8hr8v04wiZc0wTdO0OkR5OnSoYuczdbnsUTdxcbSwpDamifO7DbgXfYkRDBUscrvIH3wBgTbNKzZLCfSeKZlqE5nqUjLVJjLVpWSqTWRW1CUlJaFCj1dVVfS5L1Sf7yPDl0biynOxe/cBBfPd5jW5scTtq0tdToVqE5nqUjLVJrLqVJeYHU8R/+P9AOQ0/xu5ze447vaRauM4+i2JX/UFwFtnGJmd3iiXrNGsOr1nTlZF16Y0577607BUbYaB/6z25E4cTeiX0bWG10fMnE9wL/gCAgGLA4qIiIhIZWC6kslq9yImBgBxPz6AI3O1xalERKoB08Sz7+3w0/x6405pN4EanQk5kwBwpn8OIX+ZxBMpL2raSrUQqpdCztWX4G/bIrzMtXoDsa/Owkg7Yl0wEREREak0/MkXkNfkZgAM00/C97+HQLa1oUREqjhH1jocOZsA8NfqQSi26antyLDjSyoYaWsLZOI4+k1ZRRQpF2raSvXhdpE/fAD5g/tgOgruGmk/mEbcK+/h2LDF4nAiIiIiUhnkNL8Hf42uADhytxG/+XaLE4mIVG3uY0fZ1r/stPblqz0g/NiVtvC09iVS3tS0lerFMPB3bkvulWMIJtcqWOTzEzN3Ee75S8CvyyNERERE5DhsTjI7vEzIHg9AzN7Xce+faXEoEZEqKhTAvf89AEzDhbfuqNPanT+pX/ixK23Rae1LpLxFVdO2X79+tGrVqtjHAw88AMCECROKrbv33nstTi2VUahOMrlXXYK/Q6vwMtfaTcS+MhPb4XQLk4mIiIhItAvFNie79RPh5/Ebb8aWt9PCRCIiVZMz/TPsvgMA+FIuwnQmntb+Qp76BOLbAeDIXI3hSzvtjCLlxWF1gGO99957BIO/3qlt69atXH311QwaNCi8bNy4cdx44693aY2JianQjFKFuJzkD+1HoFEDPJ8sxfAHsB/OIPaVmeRf2JtAx9ZWJxQRERGRKOWtfzn5aQvx7H8PW+AoNdb/kSNnzQdbVP2KJSJSqXnKcGqEQr7k/jiyN2Bg4kpfgrfeJWWyX5GyFlUjbZOSkkhJSQl/LFmyhEaNGnHOOeeEt/F4PEW2iY+PtzCxVAWBjq3JveoSgikFd5E0/AFiPlyC54NF4NN0CSIiIiISgWGQ3frfBD2NAXAeWUnsjn9ZHEpEpAoJZOM+OA+AkKMWvtoXlslufcn9w481RYJEs6hq2h7L5/Mxd+5cxowZg2EY4eUffPAB3bt3Z+jQoTz55JPk5eVZmFKqilDtRHKvHIOvc5vwMuf6LcS+8h62g7pcQkRERESKM501yewwBdMouMlt7PbHiP3xQWqsHU/cikHUWDse9963IJhvcVIRkcrHffADjFAuAN66o8HmLpP9+mv1xLTFAuA8vAhMs0z2K1LWovbanYULF5KVlcWoUb9OMj106FAaNGhAnTp12Lx5M0888QQ7duzgueeeK3E/TqedY3q+5c7hsFfcwSqZqK+Ny445oj/+ZmfimLcEw+fHnnaE2FdnEhjUm1DXdpTHmynq62Ih1SYy1aVkqk1kqkvJVJvIVBeR0gvU6k5us7uI2/YQBiZxOx7HxIZBCDs23AfnEtp8B1ntX8SXMtjquCIilYZn/zvhx/n1Ly27Hds9+JJ64T78CXbffuzZGwgmtC+7/YuUkaht2s6cOZPzzz+funXrhpddeumv36StWrUiJSWFq666ip9//plGjRpF3I/fH4y4vDz5fBV/zMqiUtSmVXOMlGRi5nyK/cBhjEAQ57zP8G/bTf7gPuB2lfkhK0VdLKLaRKa6lEy1iUx1KZlqE5nqIlJ6gfg2mEDhn/cNQkX/DRylxprLyOz0Fr46F1sTUkSkErF59+NM+wyAoKcxgVo9ynT//uT+uA9/AhRMkZCnpq1EoaicHmHPnj0sX76cSy45/mTQnTp1AmDnTt2pVcqWmVSL3Imj8HX99Qe3c+OPxE17D9v+QxYmExEREZGoEswnYcN1/NqyLc6g4NLbhA3XaKoEEZFScO9/L/yHr/z648r8qldf8oDwY81rK9EqKpu2s2bNIjk5mQsuuOC4223cuBGAlJSUCkgl1Y7Dgfei3uSNuhDzl9G1toyjxE6fhfOb7zXvjYiIiIjgPjAbW+BIuDFbEgMTW+AI7oNzKiaYiEgl5t73dvixt/5lZb7/YGwLgp6CK7adGcshmFPmxxA5XVHXtA2FQsyaNYuRI0ficPw6e8PPP//M5MmTWb9+Pbt372bRokXccccddOvWjdatW1uYWKq6QOvm5Fw9lmD9OgAYwRCeT5fhmf0x5HstTiciIiIiVnIf+hCzlL9WmdjCd0IXEZHI7Nk/4MxaB4C/RleCcS3L/iCGgS+5f8FD04crfVnZH0PkNEXdnLbLly9n7969jBkzpshyp9PJihUrmD59Orm5udSvX58LL7yQa6+91qKkUp2YiTXInTAS95KVuL4u+M/DuXkH9v2HyRs5kFCDuifYg4iIiIhURYY/PXwJ7wm3JYThTy/nRCIilZtn37E3ICv7UbaFfMn9idkzDQBn2iJ8KReV27FETkXUNW179erF5s2biy2vX78+r7/+ugWJRH5ht+MdcB6Bxg2ImbcEI9+L7WgWsa/Nwdu3B/5uHct8nh0RERERiW6mMwkTW6katyY2TGdSBaQSEamkzBDufTMKHhp2vPWOf6+j0+FP6oNp2DHMIK60RWiCBIk2UTc9gki0C7ZsSs7vxxI8o2B0rREK4Vm0nJj3PoJc3VhCREREpDrxpgw5qZG23jpDyzmRiEjl5cxYht27Byi4WZjpql1uxzKdNQnUPAcAR+5WbHm6yb1EFzVtRU6BWTOB3N+NwNujS3iZ48edxE17F/vufRYmExEREZGK5K07ipCjFibHv+LKxCDkqIW3zsiKCSYiUgmV9w3IfqtwXlsAV9qicj+eyMlQ01bkVNnt+Pr2IHfcEEIxHgBsmdnEvP4+rhXfgXn8OwiLiIiISBVg95DV/kWAEzRuzYLt7J6KySUiUtkE83AfeB+AkD0Bb8rF5X5INW0lmqlpK3Kags0bkTtpLIEz6wNgmCbuz1YR886HGDm5FqcTERERkfLmSxlMZqe3MB01gYK5a4/9F8AATJvbingiIpWC+9B8bMEsALx1R4A9ptyPGajRmdAvc4070z+HkL/cjylSWmraipQBMyGevCuG4z33LArH1zp27CJ26rvYf95raTYRERERKX++OheTdv4WMtu/hK/OUAJJvfHVGUreGVeFt4nffDuEfNaFFBGJYu5974Qfe+tfWjEHNez4kvoCYAtk4jj6TcUcV6QU1LQVKSs2G74+55B32TBCcQV/EbRl5xLz5lxcy76BUOluUCEiIiIilZTdg7f+ZWR2ep2cngvI7PQ62W2exl+zGwCOnC3E/PyixSFFRKKP4TuMK20hAEH3GfgTe1fYsX21B4QfF2YQiQZq2oqUsWDThuT+fhyBxmcAv0yXsPRrYt6eh5H9y3QJgQCO7zfjmbUA5yuz8MxagOP7zRAIWJhcRERERMqcYSO79RPh+W5jtz+Kzbvf4lAiItHFvX8mhlnw+7C3/lgwKq5d5U/qF36seW0lmqhpK1IOzPhY8i4bird3N0yj4ATdsXMPsVNn4Fr2DfHPTidm3mIcW3Zg27kXx5YdxMxbTPyz07Fv/cna8CIiIiJSpgI1upB/xpUA2IJZxG29z+JEIiLRxbPv7fDj/PqXVeixQ576BOLbAeDIXI3hS6vQ44uURE1bkfJis+HrdTZ5VwwnFB9XsCgnD9fSryHfC4DxywS4hf+S7yXmvY+wb91hQWARERERKS85Le4l5KgFgGffWziOrLI2kIhIlLDnbMWZ+S0A/oSOBOPbVngGX3LBFAkGJq60xRV+fJFI1LQVKWfBRg3InTSWQJOGQMGdg40Sti1cHjNviaZKEBEREalCTFdtcprfHX4ev+l2MIMWJhIRiQ5FbkBWr4JuQPYbvuT+4ceaIkGihZq2IhXAjI3B3z61VNsagJHvxbFpe/mGEhEREZEKld/wD+FLcJ1Zq/Hsec3iRCIiFjNNPPtnFDzEhrfeJZbE8Cf2xLTFAuBMWwymeYJXiJQ/NW1FKohj6w7MkobY/oZpgGOLmrYiIiIiVYrNQXarx8NP4358AMOfYWEgERFrOY6uwp73EwD+pD6EPPWtCWJz40vqBYDdtx979gZrcogcQ01bkQpi5Hl/nbv2RNuaBduLiIiISNXiT+pFft3RANj8acRte9jiRCIi1vHste4GZL/l1xQJEmXUtBWpIGaM+6RG2pox7vINJCIiIiKWyEl9OHwZrmfXFOxZ6y1OJCJigZAX94FZAJi2WLx1hlkap/BmZKCmrUQHNW1FKkigZdOTGmkbSG1WvoFERERExBIhzxnkNrsNAIMQ8Zv+qvkTRaTacR3+BFvgCADeOkPBEW9pnmBsC4KeRgA4M5ZDMMfSPCJq2opUkECb5pgeN6U5HTcBgrqbsIiIiEhVldv4BoIxTQFwHfkS94GZFicSEalYnn3vhB/n17/UwiS/MAx8v0yRYJg+XOnLLA4k1Z2atiIVxeEgb2g/gBIbt4XLDSBm/me4PlupURciIiIiVZHNTXarR8NP47bcA4FsCwOJiFQcw5+B69ACAEKuOviT+lqcqIDvmHltnZoiQSympq1IBQq2bELeJYPAUzBfbeEct+G5bt0u/E0bhrd3r1iNZ+YC8PkrOKmIiEjld/DgQTZt2kRubq7VUUQi8qUMxlv7QgDs3r3E7XjS4kQiIhXDfWAOhukDIL/eJWBzWJyogD+pD6ZhB8CVttDiNFLdqWkrUsGCLZuSfcNE8ob1J5DalFDjMwikNiVvWH+yb7yS/EuHkj/gPEyjoJPr3PoTsa/NxjiaZXFyERGRymHhwoUMGjSIPn36MGrUKNauXQtAeno6I0eOZOFC/RIm0SMn9RFMwwlAzM5nseVusziRiEj58+x7O/zYW/8yC5MUZTprEqh5DgCO3B+x5e20OJFUZ2railjB4SDQPpX80YPwXzWK/NGDCLRPBYcDDAN/t47kjRuC6XYBYD+YRuwr72Hfvc/i4CIiItFt8eLF3HDDDSQmJnLddddhHjPNUFJSEnXr1mXmTM0dKtEjGNeSvMbXAwVzKMZvvsviRCIi5cuW9xPOIysACMS1JpDQyeJERR07RYJLUySIhdS0FYlSwWZnknvlaEKJNQGw5eYT8+ZcHOs2WZxMREQkek2ePJmzzz6bt956i9/97nfF1nfu3JmNGzdakEykZDlN/0rQXR8A9+EFuA59bHEiEZHy49k3I/w4v/6lYBjH2briqWkr0UJNW5EoFkpOJOfK0QSanAGAEQwR8+ES3IuXQyhkcToREZHos3XrVgYPHlzi+tq1a5OWllaBiURKwRFPTssHw0/jNt8BIa+FgUREyolp4t73Tvipt944C8NEFqjRmZAzCQBn+ucQ0j1mxBpq2opEuxgPeeOG4OvaLrzItWotMTMXgNdnYTAREZHoExMTQ15eXonrd+3aRa1atSoukEgpeeuNxVfrXAAceduJ2TnZ4kQiImXPkfkdjtytAPgSexGKOdPiRBEYdnxJfQGwBTJxHP3G4kBSXalpK1IZ2O14Lzqf/At7h29Q5vhxJ7HTZ2FkZFocTkREJHp0796dOXPmEAgEiq07dOgQM2bMoFevXhYkEzkBwyC79eOYv/yKFrfjcWz5ey0OJSJSttxRegOy3/LVHhB+7ErTDUzFGmrailQi/rPak3fZUEyPGwD74QxiX52J/Wed0IuIiADcdNNN7N+/n0suuYR33nkHwzBYtmwZ//73vxk2bBimaXLddddZHVMkomBCB/Ib/h4AI5hD3NZ7LE4kIlKGQn48+wtuBmra3HjrDLc4UMn8Sf3CjzWvrVhFTVuRSibYpCE5V44mmFQLAFtePjFvfYBzzQ/WBhMREYkCzZs356233qJWrVr85z//wTRNXn75ZV588UVSU1N58803adiwodUxRUqU0+Ke8FyKnv3v4cz40uJEIiJlw5W2CJv/MADelIsxnbWsDXQcIU99AvHtAXBkrsbwaT58qXgOqwOIyMkzk2qRe+VoYuZ8imPHLoxQCM9Hn2M7nIG3X0+w6e8xIiJS/fj9frZt20atWrV45ZVXOHr0KDt37sQ0Tc4880ySkpKsjihyQqYziZwW95Kw8WYA4jf9lYzuX4BNv7qJSOVW9AZkl1qYpHR8yf1xZK/HwMSVthhv/bFWR5JqRp0dkcrK4yZv3MX4zu4QXuT6eh0x786HfN1tWEREqh+bzcaYMWP45JNPAKhZsyYdO3akU6dOathKpZJ/xpX4EzoB4Mhej2fPVIsTiYicHiOQifvQhwCEnElF5oyNVr7k/uHHmiJBrKCmrUhlZrPhHdiL/MF9MH8ZXevYvqvgBmXpRy0OJyIiUrHsdjsNGjTA5/NZHUXk9Bh2sls/Hn4a9+NDujRXRCo118EPMEL5AHjrjQGby+JEJ+ZP7IlpiwXAmbYYTNPiRFLdqGkrUgX4O7cl7/JhhGI8ANjTjhD36kzsP+22OJmIiEjFGj9+PDNmzODIkSNWRxE5LYFaPcivX3D5sC1whLgfH7Q4kYjIqfPsezv8OL8STI0AgM2NL6kXAHbffuzZGywOJNWNmrYiVUSwUQNyrxxDsHYiAEa+l5h3PsT5nf5jERGR6iMUCuFyuRg4cCD33HMPzz//PNOmTSvy8corr5zSvt944w369etHhw4dGDt2LOvWrTvu9h999BGDBg2iQ4cODBs2jM8//7zEbe+9915atWpVLFu/fv1o1apVkY+XXnrplPJL5ZPT8kFC9ngAPHum4chcY20gEZFTYMvfgzP9CwACMc0I1OxmcaLS82uKBLGQZrMXqULMxBrkThxNzPuf4tj2c8ENyj7+AtuhdLwDz9MNykREpMp77LHHwo/fe++9iNsYhsFVV111UvudP38+jzzyCA888ACdOnXi1VdfZdKkSSxYsIDk5ORi23/33Xfceuut3HLLLfTt25cPPviA6667jlmzZpGamlpk208//ZS1a9dSp06diMe+8cYbGTduXPh5XFzcSWWXyivkrkduszuI3/p3DEziN/2VI90+AcOwOpqISKm597+LQcHUAt76l1aqn2G+5F/n3nWlLSKvyU0WppHqRk1bkarG7SLvksG4l6zE9dVaAFzfrceWfoS8kRdCjNvigCIiIuVn0aLyGQUzbdo0xo0bx5gxYwB44IEH+Oyzz5g5cyZ/+tOfim0/ffp0evfuzR/+8AcAbr75ZpYvX87rr7/OP/7xj/B2Bw4c4MEHH+Tll1/m//7v/yIeOy4ujpSUlHL4rKQyyGv0Zzx7puPI3Yrz6Crc+97G2+Byq2OJiJSOaRadGqF+JZka4RfB2BYEPY2w5/+MM2M5BHPArj+eSsXQsDuRqshmw9v/XPKG9P31BmU/7Sbu1ZkYaRkWhxMRESk/Z5xxRqk+TobP52PDhg2ce+654WU2m41zzz2X1atXR3zNmjVr6NmzZ5FlvXr1Ys2aNeHnoVCIv/71r0yaNImWLVuWePz//e9/dO/enZEjRzJlyhQCgcBJ5ZdKzuYiu9WvI8jjtt6LEci0MJCISOnZs9fjyP4BAH/NcwjFNrM40UkyjPBoW8P04UpfZnEgqU400lakCgt0bE1eUk08Mxdgy83HlnGUuFdnkTfyQoLNzrQ6noiISLnJzc3l66+/Zs+ePUBBM7dbt27Exsae9L4yMjIIBoPFpkFITk5m+/btEV9z+PBhateuXWz7w4cPh5//73//w+FwMHHixBKPPWHCBNq2bUvNmjVZvXo1Tz31FIcOHeKuu+466c9DKi9/7QF4U4bgPvQhdt8BYrf/i5zUh6yOJSJyQkVH2V5mYZJT56vdn5g9UwFwpi3El3KRxYmkulDTVqSKCzasT+6VY4h57yPsh9IxvD5iZnyId8B5+M9qX6nmExIRESmN1157jaeffprc3FxM0wwvj4uL4y9/+Qvjx4+3MF2B9evXM336dGbNmoVxnP+Lr7766vDj1q1b43Q6ue+++7j11ltxuVzFtnc67RX+X7vDYa/YA1YSZV0Xb/vHcH2+ECPkJebn/xJschWh+FZleoyKovdMZKpLyVSbyKK+LmYQz/53Cx4aTswzL8HlqpjMZVqbun0xDTuGGcSdvhh/BX0O5SHq3zMWisbaqGkrUg2YtWqQO2EUng8W4dz6E4Zp4vl0GbbD6XgH9gJ79P1wEhERORVz5szh4YcfpnPnzkycOJFmzQouw9y+fTuvvfYaDz/8MPHx8YwcObLU+0xMTMRut5OWllZkeVpaWrHRtIVq165dZFTtb7f/5ptvSEtLo2/fvuH1wWCQxx57jOnTp7N48eKI++3UqROBQIDdu3eHP7dj+f3BUn9eZcnns+a40a5M6+JohL3xTcTt+BeGGcC9/jaOdpldaf8Ar/dMZKpLyVSbyKK5Ls60xdi8+wHw1b4QL7WgAvOWXW3iCdQ8B+eRFdhzthI4up1QTOMy2nfFi+b3jNWirTaa01akunC7yB8zCG/PLuFFrtU/EPP2PMjNtzCYiIhI2Zk2bRrdunXjjTfe4OKLL6Z169a0bt2aiy++mNdff52zzz6badOmndQ+XS4X7dq1Y8WKFeFloVCIFStW0KVLl4iv6dy5MytXriyybPny5XTu3BmAESNGMHfuXObMmRP+qFOnDpMmTWLKlCklZtm4cSM2m63YVA1SPeQ2vYWgpyEArrTFuA59aHEiEZGSefa9E35c2W5A9lu+5P7hx6608rnpqchvqWkrUp0YBr4LepA3rD/mL6NrHT/vJe7VmdgOp1scTkRE5PTt2LGDQYMGYY9wFYndbmfQoEHs2LHjpPd79dVXM2PGDGbPns22bdu4//77ycvLY/To0QDcfvvtPPnkk+HtJ06cyNKlS5k6dSrbtm3j2WefZf369eGpGRITE0lNTS3y4XQ6qV27dngE7erVq3nllVfYtGkTu3btYu7cuTzyyCMMHz6cmjVrnkp5pLKzx5Kd+nD4afzmuyCYZ2EgEZESBHNwH5wLQMhRE1/tQRYHOj1q2ooVND2CSDUUaJ9KbmINYmYuwJaTh+1IJrHTZ5M3YgDB5pX3Mg8REZGEhAR2795d4vrdu3cTHx9/0vu9+OKLSU9P55lnnuHQoUO0adOGKVOmhKc72LdvHzbbr+MhunbtyhNPPMHTTz/NU089RZMmTZg8eTKpqamlPqbL5WL+/Pk899xz+Hw+GjZsyFVXXVVknlupfnx1RuJLPB9XxhfY83cSu/MZcpvdYXUsEZEi3Ac/xAjmAOCtOwrsHosTnZ5Ajc6EnEnY/Ok40z+HkB9sTqtjSRVnmMfenaEKOnQoq0KP53LZo24OjGih2kRmZV2MzOyCG5QdKJhzzzQMvP164u/WMSrmR9N7JjLVpWSqTWSqS8lUm8isqEtKSkKZ7Ofuu+/mgw8+4NFHH2XIkCFF1s2fP58777yTYcOG8fDDD5ewh8qtos99Qd9HJSnPutizN5K48lwMM4hpiyH93K8JxTQql2OVB71nIlNdSqbaRBbNdan53WhcaQsBOHL2R/gTz6vQ45dHbRLWXY3nwEwAMs7+mEBizzLdf0WI5veM1Sq6NqU599X0CCLVmFkjntzxI/G3agpQcIOyRctxz/8MgvpBLiIilc9tt93GmWeeyW233Ubv3r2ZMGECEyZMoHfv3tx6662ceeaZ3HrrrVbHFDktwfg25J35JwCMUB7xW+6xOJGIyK8M70GcaQU31Ax6GuGvVfmam5H4ag8IPy5sSIuUJzVtRao7l5P8URfhPe+sXxet20TMWx9g5GqONBERqVySkpKYPXs2d955J6mpqRw+fJjDhw+TmprKXXfdxaxZs0hKSrI6pshpy212FyFnwfQc7oNzcKZ9Zm0gEZFfePa/i0EIgPz648CoGq0nf5F5bdW0lfKn6RHKmIaal0y1iSya6uL4YSueD5dgBAryhGomkHfJYEJ1rLlDdTTVJpqoLiVTbSJTXUqm2kRWmadHqO40PUL0qIi6ePa8RsIP1wEQiGtNRo8vK8Uci3rPRKa6lEy1iSxa61Jr5fk4s9YAkN7za4LxrSo8Q3nVJnHFuTiy12NikNZnO6bLmt+VT1W0vmeigaZHEJGoFmjbktzfjSQUHwuA7WgWsa/Nxr71J2uDiYiIlNKRI0fYtGlTies3b97M0aNHKzCRSPnJb/A7/DUKrpZy5GwiZtdLFicSkerOnr0p3LD1J3SxpGFbnny/jLY1MHH9MgWESHlR01ZEigg1qEPuVWMI1ksBwPD5iXnvI1wrV0PVHpgvIiJVwCOPPMK9995b4vr77ruPxx57rAITiZQjw0Z268fDT2O3P4LhPWhhIBGp7jz73gk/9ja41MIk5cNXZIqERRYmkepATVsRKcZMiCd3/Aj8bVoAYADuJSvxzFsMgYC14URERI5j5cqV9OvXr8T1ffv2ZcWKFRWYSKR8BWqeTV6DCQDYApnE/Xi/tYFEpPoyQ7j3zyh4aNjJr3uJxYHKnj+xJ6at4MpUZ9piDWyScqWmrYhE5nSSP2IA3t7dfl20fguxb87FyMm1MJiIiEjJ0tPTSUxMLHF9rVq1SEtLq8BEIuUvp8V9hBw1AIjZ+zqOo19bnEhEqiNnxnLs+bsA8CX1w3TXsThRObC58SX1AsDu2489e4PFgaQqi6qmbb9+/WjVqlWxjwceeAAAr9fLAw88QPfu3enSpQs33HADhw8ftji1SBVmGPh6nU3eqAsxHQ4A7HsOEPvKTGwH9L0nIiLRJyUlhR9++KHE9Rs2bCApKakCE4mUP9Ndh9xmd4Wfx2/6K5ghCxOJSHXk3n/M1Aj1q97UCIX8miJBKkhUNW3fe+89li1bFv6YNm0aAIMGDQLgn//8J0uWLOHpp5/mtdde4+DBg1x//fVWRhapFgKtm5M7YSShhDgAbJnZxL42G8fm7RYnExERKWrAgAHMnDmTRYuK/xK1cOFCZs2axYABAyxIJlK+8s78E4G41gA4M7/Ds/cNixOJSLUSzMd9YA4AIXs83jpDrc1TjnzJv55HqGkr5clhdYBj/XbUw0svvUSjRo0455xzyMrKYubMmTzxxBP07NkTKGjiXnzxxaxZs4bOnTtbkFik+gjVSyH3qjHEzFyAfe9BDH+AmFkf4+1zDr6eXcEwrI4oIiLCDTfcwIoVK7j++utp3bo1LVu2BGDr1q1s2rSJ5s2bc+ONN1qcUqQc2Jxkt36cWt8OAyBu63146wzDdNayNpeIVAuuwwuwBY4C4KszHOyxFicqP8HYFgQ9jbHn78SZsRyCOWCPszqWVEFRNdL2WD6fj7lz5zJmzBgMw2D9+vX4/X7OPffc8DbNmzenQYMGrFmzxrqgItWIGR9H7u9G4G/XMrzM/flXeOYuBL9uUCYiItZLSEjgnXfe4c9//jOBQICPP/6Yjz/+mEAgwLXXXsuMGTOoUaOG1TFFyoU/qQ/eOiMBsPkPE7v9EWsDiUi14dn3dvhxfhWeGgEomEbwlykSDNOHK32pxYGkqoqqkbbHWrhwIVlZWYwaNQqAw4cP43Q6i51kJycnc+jQoRL343TaK3QAoMNhr7iDVTKqTWSVri4uO6ExFxKom4xj8UoAnD/8iP1oFv5LL4aEsvsLY6WrTQVRXUqm2kSmupRMtYmsstclNjaWG2+8USNqpVrKTn0Y1+GPMUJ5xOx6ifwzriQY39bqWCJShRm+NFyHPwEg6K6PP+l8ixOVP1/t/sTsmQqAM20RvpRBFieSqihqm7YzZ87k/PPPp27duqe1H78/WEaJSs/nq/hjVhaqTWSVsi7du+BIrIVn7kIMfwDbngM4/zeDvDGDCdVPKbPDVMraVADVpWSqTWSqS8lUm8iqUl327dvHoUOHaNSoEbVq1bI6jki5CsWcSW7TW4jb9jCGGSR+0+0cPesDTWUlIuXGfWAWhllw5aW33lgwKvcff0vDn3g+pmHHMIO40haRY3UgqZKicnqEPXv2sHz5ci655JLwstq1a+P3+8nMzCyybVpaGikpZdcgEpHSC6Q2JXfCKEI14gGwZeUQ+/ocHBu3WZxMRESqk7Vr1/Lcc8+Rnp5eZPmBAwcYP348/fr149JLL+W8887jsccesyilSMXJbXwTwZgmALgyvsB1cI6leUSkais6NcJlFiapOKazJoGa5wDgyP0RW95OixNJVRSVTdtZs2aRnJzMBRdcEF7Wvn17nE4nK1asCC/bvn07e/fu1U3IRCwUqlub3KvGEGhYDwAjECBmzie4ln4NpmlxOhERqQ7efPNN5s2bV+ymtnfccQfffPMNZ599NldddRUtW7bklVdeYebMmRYlFakgdg/Zqb/OZxu/5W8FN8oRESljttxtOI9+DUAgvh3BhPYWJ6o4hfPaArjSFlmYRKqqqGvahkIhZs2axciRI3E4fp29ISEhgTFjxvDoo4+ycuVK1q9fz913302XLl3UtBWxmBkXS97lw/F3aBVe5l72DZ73PwW/38JkIiJSHaxZs4bzzy86f9727dtZuXIlffr04bXXXuOOO+7g3XffpVWrVrz33nsWJRWpOL6Ui/El9wPAnr+b2B1PWZxIRKoiz753wo+ryyjbQmraSnmLuqbt8uXL2bt3L2PGjCm27u677+aCCy7gxhtvZPz48dSuXZtnn33WgpQiUozDTv6QvuT360nh+Frnxm3Evj4HIzPb0mgiIlK1HTp0iKZNmxZZ9vnnn2MYBpdd9usvkE6nkyFDhrB169aKjihS8QyD7Fb/wjQKBsLE7nwGW+4Oi0OJSJVimuGmrYmBt94lJ3hB1RKo0ZmQs+AqH2f65xDSgCUpW1HXtO3VqxebN28uduIN4Ha7ue+++/jqq69Ys2YNzz33nOazFYkmhoG/e2fyLhmM6XICYN9/mNhXZ2Lbe8DicCIiUlU5nU6CwaI3Tvvuu+8A6Nq1a5HlycnJeL3eCssmYqVgXCp5ja4FwAh5id9yt8WJRKQqcRz9CntewR+D/El9CHnOsDhRBTPs4SsabIFMHEe/sTiQVDVR17QVkcov2LIJuRNHE6qVAIAtO5fYN97HsUEjm0REpOw1btyYlStXhp/n5+fz1Vdf0bZtW2rWrFlk28OHD1O7du2KjihimdxmtxN01QXAfehDnIcXWpxIRKqKolMjXGphEusUnSLhUwuTSFXkOPEmJ+b3+9m+fTtZWVmYEW481K1bt7I4jIhUIqGUJHKvHINn1sc4du3DCASJmbsQ7+EMfOd3A8OwOqKIiFQRV1xxBXfeeSf33XcfXbp0YcGCBWRmZkacbmvFihW0aNHCgpQi1jAdNchp+Q9qbPg/AOI3305G0kqwuSxOJiKVWsiH+0DBjT1NWwy+OsMtDmQN/2/mtc1tca+FaaSqOa2mbSgU4sknn+TNN98kPz+/xO02btx4OocRkUrKjI0h7/JhuD/+AtfaTQC4l3+L7XA6+cP6wy9TKIiIiJyOESNGsG7dOt566y3eeadg1M/IkSO54oorimy3bds2Vq5cyd/+9jcrYopYxlv/Mvy7p+I8ugpH7o/E/Pw8eU1usjqWiFRirsMLsfkzAPDWGYLpSLA4kTVC7noE4tvjyF6PI3MNhi8N05VsdSypIk6rafvCCy/w8ssvc+mll3LWWWdx++23c9ttt1GjRg3efPNNDMPgr3/9a1llFZHKyG7HO/gCQinJuBctxzBNnFt2YHttdsHctzWr53/uIiJSdgzD4N577+W6665j9+7dNGjQIOJ9D2rWrMm7774b8d4JIlWaYZDd+nFqreqDgUns9sfw1htHyFPf6mQiUkl59r0dfuytVz2nRijkS+6PI3s9BiautMV464+1OpJUEac1p+3s2bMZPHgwDzzwAL179wagXbt2jBs3jhkzZmAYRpH5xUSkmjIM/N06kjf2Ykx3waV49oNpBTco273f4nAiIlJVJCcn06lTpxJvVFu7dm3at29PXFxcBScTsV6gRmfyz7gaAFswm7gfdQmviJwaw38E1+GPAAg5axeZ17U68v1migSRsnJaTdv9+/fTo0cPAFyugkaMz+cLPx8+fDjvv//+aUYUkaoi2LzRLzcoqwGALSeP2Dffx/H9ZouTiYiIiFR9OS3+TshRCyi4gZDjiAbYiMjJcx94HyPkBSC/3iVgK5PbJVVa/sSemLZYAJxpiyHCvZ5ETsVpNW1r1apFbm4uAHFxccTHx7Nr164i22RmZp7OIUSkignVTiTnyjEEGp8BgBEMETNvMa4lKyEUgkAAx/eb8cxagPOVWXhmLSho6gYCFicXERERqdxMVzI5Lf4efh6/6TYwgxYmEpHKyH3s1Aj1L7MwSZSwufEl9QLA7tuPPXuDxYGkqjitP4e0bduW77//Pvy8e/fuvPrqq7Rp0wbTNJk+fTqtWrU67ZAiUsXEesi7dAjuT5fhWv0DAO6Vq3Hs3I0t/SiG14dpgGGCYYBz8w7MhV+SN7QfwZZNrM0uIiIiUonln3E1Mbun4chejzNrHZ7dr5B/5iSrY1VfwXzcB2bjPvQh9kAGHkci3pQheOuOArvH6nQixdjyfsZ15EsAArEtCdToYnGi6OBP7o/78CdAwRQJeQntLU4kVcFpjbQdN24cPp8vPCXCX/7yFzIzMxk/fjzjx48nJyeHO++8s0yCikgVY7fjHdSH/At7YxpGwaJ9h8Bb8PPE+OWKksJ/yfcS895H2LfusCCsiIiISBVhc5Dd+vHw07ht/8Dwp1sYqPpyHZxP8hep1Njwf7gOzsORvhTXwXnU2PB/JH+RiuvQR1ZHFCnGs39G+LG3/mUFo2wEX/KA8GNX2kILk0hVYphm2U62kZWVxapVq7Db7XTp0oVatWqV5e5P2qFDWRV6PJfLjs+nS4wiUW0iU13A/uNOYt6dz4n+uzcBPG6yb5gIjuo7b5LeMyVTbSJTXUqm2kRmRV1SUhIq9HhVVUWf+4K+j0oS7XVJ+P73ePa/B0Bewz+Q3eapCjt2tNemIrgOzqfG2ssBMCj+K7n5y5lxZqe38NW5uEKzRSO9ZyKr8LqYJokruuHI2QJAWq/vCcU0rrjjnwQrapO0rCP2/J2YhovDfXeCPfpufKrvpZJVdG1Kc+57WiNtI0lISGDAgAH07dvX8oatiFQORl7+CRu2AAZg5HtxbNpe3pFERKSSO3DgAPPmzePVV19l//79AASDQY4cOUIwqF9WRHJaPoT5S0PBs3sq9qzvT/AKKTPBfBI2XANEbtgeuzxhwzUQzK+waCLH48haE27Y+mqdG7UNW0sYBr7k/gUPTR+u9KUWB5Kq4KSGqu3duxeABg0aFHl+IoXbi4hE4ti6IzyH7YmYBji2bCfQPrX8g4mISKVjmiaPPvoob7zxBoFAAMMwSE1NpV69euTm5tKvXz9uvPFGrrrqKqujilgq5GlATtO/Ev/j/RiEiN/0V46e/ZEuda4A7gOzsQWOnHA7AxMjcAT3wTm62ZNEBfe+d8KP9Z4szle7PzF7pgLgTFuEL2WQxYmksjuppm2/fv0wDIO1a9ficrnCz09k48aNpxxQRKo+I89bqoYt/HJzsjxv+QYSEZFKa8qUKUyfPp0//vGP9OzZk6uvvjq8LiEhgQsvvJBPPvlETVsRIK/xdXj2voYjdxuuI8tx738Xb/1xVseq8tyHPsTEhkGoVNsnbLiemJ9fJBjThGBsU0IxTQnGNCUY24SQuwEYZX4BrUhxoUB4ShXTcOGtO8LiQNHHn3g+pmHHMIO40haRY3UgqfROqmn7z3/+E8MwcDqdRZ6LiJwOM8Zd+pG2oBEgIiJSonfffZeRI0dyyy23kJGRUWx9q1at+OKLLyxIJhKFbG5yUh+l5pqxAMRt/TvelIvBEW9xsKrN8KeXumELBZdaOzO/xZn5bbF1puEiGNP4l2Zuk4JmbkxTgrFNCcY0BntsWUaXasyZvgSb7yAAvpTBmM5EixNFH9NZk0DNc3AeWYEj90dseTs1hYSclpNq2o4ePfq4z0VETkWgZVOcm3eUalsDsO/cg+f9hXjP74aZWLN8w4mISKWyb98+unTpUuL6mJgYsrOzKzCRSHTzpVyEt/Yg3IcXYPfuI27H4+S0fMDqWFWXaWIEczGhVPd0MAFsMRDKjzj/rWH6cORuxZG7NeLrg656hGILm7lNfmnmFnyYrhQNhpBS8+x7O/w4v/6lFiaJbr7k/jiPrADAlbaI/Ia/tziRVGandfv1u+66i8suu4xOnTpFXL9u3TreeustHnnkkdM5jIhUcYE2zTEXfgn53uOevBae3BqA84etODZtw9+pDb5eZ2HGR9+dOUVEpOIlJyezb9++Etdv2LCB+vXrV2AikeiX3eoRXGmLMUwfMTufI7/BeIJxLa2OVeXY8ncTv/FmnJnflfo1BpDZ9j9464zEnr8Le+52bHk/Yc/bgT3vJ+y5Bf8aobyIr7f79mP37cd5ZGWxdaYtluBvGrq/jtZtBDb3qX6qUsUYgSzcB+cBEHIm4qt9ocWJopcvuT9x2x4C1LSV03daTdvZs2dz7rnnlti03b17N3PmzFHTVkSOz+Egb2g/Yt77qMRRB4XjCnwdW+PY+hO2vHyMUAjX6g04v9+Mr1sHfD26gEcnlyIi1dnAgQN5++23GT16NPHxBZd4F07ntWzZMmbPns2kSZOsjCgSdUKxzclrfAOxPz2JYfqJ23wnmV3e0yjMsmKG8Ox+mbit92EL/jrS/0SjbU0MTEdNvHVGgt1DMK5l5Ga6aWLzHSho5uZuL2jm5u3Anlvwb+El7b9lhHJxZP+AI/uHiMcOeRoWNHNjmhYbrWs6Esv//RHMx31gNu5DH2IPZOBxJOJNGYK37iiwe8r32FKE6+AH4T8MeOuOBpvL4kTRK1CjCyFnMjZ/Gs70zyHkB5vT6lhSSZ1W0/ZEDh48iMejH6YicmLBlk3Iu2QQMfOWQL43PMdteK5bj5u8of0ItmyC1+vD9dVaXF+txfD5MQIB3CtW41q9AV+PrvjObg9O/ccoIlId3XjjjaxatYoRI0Zw9tlnYxgG//vf//jPf/7DmjVraNOmDddcc43VMUWiTk7TW3Hvewu7dy/utE9xHV6AL2Ww1bEqPXvOFhJ+uCF8uTQUTFmQ3+B3xP701C+N2+LTHpi/tHOz2r944galYRBy1yPkrkegVo/i64M5vzRwC0fo7sCWW/h4J4bpL75LzIKRvfm7IGNpsfUhR02CMU0Kbor229G67oZgO71Wg+vgfBI2XIMtcCR80zY7NtwH5xLafAdZ7V/U+7MCefa9E36cX/8yC5NUAoYNX3JfPPvfwxbIxHn0a/yJ51qdSiopwzTNUt6zvcDChQtZtGgRUDDStlu3bjRs2LDYdllZWSxfvpx27drx2muvlU3aU3DoUFaFHs/lsuPzBSv0mJWFahOZ6vIbgQCOTdtxbNmOPd9H0OMikNqMQOtm4Ch68mfk5OJa/h3O1Rswgr/ezCEUH4uv19n4O7YGu72iP4Nyp/dMyVSbyFSXkqk2kVlRl5SUhDLbV35+PlOnTuXjjz9m586dhEIhGjVqxKBBg/jDH/5QpQcVVPS5L+j7qCSVsS7u/e9R4/uCS3mDMU1I7/lVuYxorIy1OWkhP7E7/0PstkcxTF94cd4ZV5LT8kFMZ62IjcnCf0OOWhXTmDSD2PL3hhu6vx2ta/MXv6HjCXdpOAh5zvylidssPFo3GNuEUEwTTEeN477edXA+NdZeDhy/oZ3Z6S18dS4+6XxVSUV8L9ny95G0tDUGZsHPhfPWVopR+Fb+nHHvfYMaG/4MQE7T28htca8lOSKpFj9/T1FF16Y0574n3bR98cUXeeGFF4CCE2Kn04n9N00RwzCIjY2lXbt23HnnnTRt2vRkDlGm1LSNHqpNZKpLyUpbG+NoFu6lX+NYvwXjmB9pocSaeM/vRqBNi0pxYlFaes+UTLWJTHUpmWoTWWVv2lZnatpGj0pZF9Ok5rdDcGUsAyCnxb3kNr2tzA9TKWtzEhyZq0nYcD2O7O/Dy4IxTchq+yz+pD5FNw7m4z44B/fBedgDGQQdiXjrDA1PiWA1w38Ee95PvzRzdxwzWvcnbPm7MMyT/zqGnMm/3BCtSfimaKHCUbqORJKXtsYIHI3YsC1UOHVE2vlboqJOVqmI76WYn54hfus9AOQ0u4Pc5n8r1+OVFSt/zti8+0n+IhUAf40uHOn+uSU5IqnqP39PR5Vo2h6rdevWPP744wwbNuxUd1Hu1LSNHqpNZKpLyU62NrZD6bi++Arnlh1Flgfr1sbb5xyCzRpVieat3jMlU20iU11KptpEVpmbthMnTuTPf/4zPXv2jLh+5cqV/Pe//2X69Ollcrxoo6Zt9KisdbFnrSdxZa+CUZ+2WNLP+4aQp/iVlaejstbmhIK5xG17hJidz2JQcBWYiY28xteT0/xusMce9+WVri4hP7b8XUXmzy28OZotb0eR+XtLyzQcGGag1Ntntn8JbzW+XL8i3jOJK84L/wEi/dzvCMa1KNfjlRWrv58SV5yLI3s9JgZpfbZjupIty3Isq+sSzaKxaXvKE814vV7uuusu6tWrd6q7EBEpU6GUJPLHDMK3Zz/uz1bh+HkvAPYDh4mdMZ/AmfXxXtCDUEP93BIRqaq++uorxo4dW+L69PR0vv766wpMJFK5BBPak3/mH4jZ9RJGKJe4LfeQ1fEVq2NFPWf6FyT8cAP2vF8HDwTi25PV9jkCNbtamKwc2ZyEYpsRim2G/7f9KNPE8Kf90tD9dYSurXBuXe+eiLs8mYatiQ33wXnVumlb3uxZG8INW3/NsytNwzYa+JL748hej4GJK20x3voln5uIlOSUm7Zut5unnnqKv/3tb3Tr1q0sM4mInJbQGfXIu2I49h27cX++Evv+wwA4du3D8dpsAi0a4+3TnVCd6Phrp4iIlC3jOFdV7Ny5k7i4uApMI1L55DT/G+79M7H50/AcmEV++iT8Sb2tjhWVDP8R4rbeS8yeV8LLTMNFbrM7yG1yc/W9a7xhYLpqE3DVJlAzQr8gmI89/2fsudsLpl74ZbSuM/0zbKG80h2CEIY/vYyDy7E8+3UDslPlS+5P7M7/AOBKW6SmrZyS07qlY4sWLdizJ/JfyERELGUYBJudSW7Thjg2bcf9xSps6UcBcPy4E/uPOwm0T8XbuxtmrePfDEFERKLb7NmzmT17dvj5888/z4wZM4ptl5WVxebNmzn//PMrMp5IpWM6E8lpcR8JG28EIH7z7WR0Xwq20/r1scpxHZxH/MZbsPv2h5f5a/Ugq82zBONbWZisErB7CMalEoxLLbK4xtrxuA7OC08vcTwmNkxnUnklFDOIe1/B/6Wm4cBbd4zFgSoXf2JPTFssRigXZ9piMM0qMVWfVCzb6bz4L3/5C2+//TbLly8vqzwiImXLMAi0aU7OHy8jf3AfQgkFo6sMwLl+C3EvvoX7k6UYObnW5hQRkVOWl5dHRkYGGRkFdznPyckJPz/2w+Vycdlll/Hwww9bnFgk+uWfMQF/QhcAHNkb8OyeYnGi6GF4D5Kw7kpqrr0i3LAN2ePJav0ER85eoIbtafCmDClVwxYKRtp66wwt50TVlzNjGXZvwXRzvuSBUTMna6Vhc+P75QoFu28/9uwNFgeSyui0bkR2zTXXsGPHDn7++WcaNmxIw4YNcbvdRQ9gGDz//POnHfRU6UZk0UO1iUx1KVm51MYfwPndetzLv8PI94YXm04Hvm4d8XXvDB53ya+PAnrPlEy1iUx1KZlqE1llvhFZv379+Nvf/kb//v3LZH+VjW5EFj2qQl0cR1aR+PVAAEKOWqSf9x2mq/Zp77fS1sY0ce97k/jNd2ELHAkv9iYPJLvN04Rizjyt3VfaupSlYD7JX6RiBI5iUHKrwgRMRw3Szv8R7J6KyxdlyvM9k7Dhz3j2vgFAZodX8NYbXS7HKS/R8P3k+fkFEjbfDkB2y3+Q1+RmS/NAdNQlWlWpG5EBbNmyBYD69esTDAbZuXNnsW2ON6eYiEiFczrwd++Mv1MbXKvW4vp6LYY/gOEP4F7+Ha7vNuA9tyv+ru3BqUsARUQqm8cee4zmzZuXuD49PZ1t27bpngwipRCo1Z38+pfj2fcWtsAR4n58gOy2z1odyxK2vJ0kbLwJV9ri8LKQM4nsVo/irXepLnsuK3YPWe1fpMaayzAxSmzcGkDIFoPNn0bIfkbFZqwOgrm4DrwPQMhRA2/KYIsDVU7+5F//gOxKWxQVTVupXE5rpG1loJG20UO1iUx1KVlF1MbIycX15Xc4V2/ACP16KVYoIQ5fr7Pxd2wNttOaSabM6T1TMtUmMtWlZKpNZJV5pG2bNm3417/+xbBhwyKunz9/PrfeeisbN24sk+NFG420jR5VpS6G9wBJ/9/efYdHVaZ9HP+eqekhhNA7QiihWiiCCFhQQUEFKyjr6uq666K47rrra3dRV1kVXQvYEFBRAQHBgrjYUBHpIh2kEwKkZ+p5/wgMxMxAgCRnkvw+18WVmWfOnHPPzSR5cs9z7vNNN2yBXEwMDp71Bf7kbqe0zyqVGzNA7LaXiV//MEbwSDutovpXkpf+ZLmsPD6sSuWlgrn2ziVx9a3Y/AcxsWEQLPUVwB/XiuzT5xKMaWBxxNaoqPeMe/f7JK38HQCFDUeQ1+GFcj9GRYuK7yfTpPbXnbAXbcU0XOzrtxXs1l4MNSryEqWicaVtdFUiREQqmRkfh+eC3uT/4Rp8GW1Cn+XbcvOJmbeQ+Anv4FizsbhxvIiIRL3jrUfwer3Y7faT2veUKVPo378/HTt2ZNiwYaxYseKY28+bN4+BAwfSsWNHBg8ezMKFCyNue//995Oens4bb7xRYvzgwYOMGTOGbt26ccYZZ/CPf/yD/Pz8k4pf5GSY7noUtPw7AAYmCWv/CmbZeo5Wdfa8NdRafD4Ja/8eKtgG3A3J7vIuuR1fK9eCrZTkrXsxWeesIyfjFbx1B+Gv3Qdv3UHkZLzC/rOXEohtAYCjYCPJSy7B5tl9nD3KiXDveid029PgagsjqeIMA++h1baG6cW1/yuLA5Kq5pSLtoFAgI8++oj777+f22+/nbVr1wLFV+f99NNP2bdv3ykHKSJS0cxaSRQNHkDB74fja908NG7bn03szE+Je+N97Ju2qXgrIhKFdu7cyeLFi1m8eDEAmzZtCt0/+t/nn3/OO++8Q8OGDU/4GHPnzmXs2LHcfvvtzJgxg7Zt23LTTTeRlZUVdvuffvqJMWPGcOWVVzJz5kwGDBjA7bffHmovdrTPPvuM5cuXU7du3VKP3X333WzYsIHXX3+dl156iR9//JH777//hOMXORWFTf+AP74NAM7sxbh3vW1xRBUs6CVu41hSvuuNM/vH0HBh45s40OsHvDpVvHLYY/A0uJqczpPJ7/kxOZ0n42lwNcG4Fhw84yMCsc0BcBRsIHnJIAzPXmvjrSYMbyaurM8BCMQ0xpdytsURVW3eOkdaJDgP5VWkrE6pPUJOTg6///3vWbFiBXFxcRQWFvLaa6/Rs2dPAoEA/fr1Y8iQIdx1113lGfMJUXuE6KHchKe8RGZlbmzbd+P+33c4tu0qMe5v1hBP3x4EG9WzJC7Qe+ZYlJvwlJfIlJvwqlp7hOeff57nn3/+uNdSME0Tu93OQw89xJVXXnlCxxg2bBgdO3YMFUyDwSB9+/ZlxIgR3HLLLaW2Hz16NIWFhbz88suhseHDh9O2bVsefvjh0NiePXsYNmwYr776Kn/4wx8YOXIkN954IwAbN27k4osv5v3336djx44AfPnll9xyyy0sXLiQevVK/y5Se4ToUd3y4sxaQK2fhgAQdNVlf68lmM7kk9pXNOfGkb2YxNV/wpF/pIWKP+408tqPr/DiVTTnxWrhcmMr/JVaP16MvehXAPzxbTl4xkeYrjQrQrRERbxnYn99kYS1fwOgoPld5Ld+sFz3X1mi5fvJ8GWTurA5hhnAH3caB87+ydJ4oiUv0Sga2yOc0lV2nnrqKdavX8+rr75Ku3bt6NWrV+gxu93OhRdeyMKFCy0t2oqInIxg4/oUXncZ9k3bcC/8Hvue4rMGHFt34pg0HV+bFnjPOYtgWm2LIxURkYsuuojWrVtjmiajR49mxIgRnHHGGSW2MQyD2NhY2rVrR506J3ZKs9frZfXq1fzhD38IjdlsNnr16sXSpUvDPmfZsmWh4uthvXv3Zv78+aH7wWCQv/71r9x00020bt261D6WLl1KUlJSqGAL0KtXL2w2GytWrOD8888/odchcip8qf3x1B2Me+9sbN69xG16gvz0f1kdVvkJ5BO/4RFif30xdPEr07BT2Gw0+S3/BvYYiwOU3wrGNuXgGXOo9eMl2Iu24cj/hVpLLuXg6XMwXalWh1dluXe9G7pdpNYIp8x0JuNPPgvnwUU4CjZgK9xKMLaZ1WFJFXFKRdvPP/+cESNGcPbZZ3PgwIFSjzdv3pwZM2acyiFERKxjGARaNaWgZRMcazbi/vIHbAeyAXCu24xj/Rb8GW3w9DkTM7l8LqAjIiInrlWrVrRq1QqAsWPHcsYZZ9CkSZNy2/+BAwcIBAKkppYsAqSmprJp06awz9m3b1+p4nBqamqJ1mETJkzA4XAwcuTIiPuoXbvkh4MOh4Pk5GQyMzPDPsfptFf6RewdjpPrEVzdVce8eDo8gWvfZxjBImK3vUSg+SiCiW1PeD/RlhtH5ufErvwztsKtobFAUhcKOr1AMLkLrsqKI8ryEk0i5sbVioIec4n/biC2oh048laTsvRS8rt/VCMKt+X9nrHlrcOZU7wSNJDUGXvtDlTVd2U0fT8F6p6P8+AiAOIOfoE3+SbLYommvESbaMzNKRVtc3Nzady4ccTH/X4/gYCWXYtIFWcY+Nufhj+9Bc4Va3F9/SO2vHwM08S5ci2On9fj69oBb69umPFxVkcrIlKjDR06NHR779697N+/n6ZNmxIXF10/n1etWsWkSZOYPn36cds6nAifz5q5t061DK/a5cXRGHvz0cRvehzD9ONedTfZ3WZyMp8URENuDN9+Etb9k5idU0Jjpi2G/Fb/oLDpn8DmgEqOMxryEq0i5sbZDO/pc4pbJXh2Yc9ZSex3g8k+/UNMZ/U/K6483zNxv04N3S6sf1WVfz9GS/zBWv2Jobg1km3Pp3gb3GhpPNGSl2gUbbk5pQuRNW3alNWrV0d8/JtvvgmtehARqfLsdnxd25N/6zV4+vXAjHEDYASCuH5cSfxLU3F9+QN4vBYHKiJSs82fP5+BAwfSt29fhg4dyvLlywHYv38/Q4YMKdGioCxSUlKw2+2lLjqWlZUVsdVCnTp1Sl2Q9+jtf/zxR7KysujXrx/t27enffv27NixgyeeeIL+/fuH9rF///4S+/D7/WRnZ5OWVnN6Nkp0KWh+J4GYpgC49n+Ba+9siyM6CaaJa89Man97VomCrTelNwd6fEth89HFBVupMoJxrcg+fQ4BV3Gvb2fucpKXDMXwHbQ2sKrEDBKza1rxTWx46p9Y73eJzJ/UhaCzeOW3c/9CCPosjkiqilMq2l555ZV88MEHzJ07l8PXMzMMA6/Xy3/+8x+++uorrrrqqnIJVEQkajideHt0Je+26/D06obpLJ7UG14f7m+WEP/iFJw/LAe/3+JARURqngULFvDnP/+ZlJQUbr/9do6+5m7t2rWpV68eH3zwwQnt0+Vy0aFDBxYtWhQaCwaDLFq0iK5du4Z9TpcuXfjuu+9KjH377bd06dIFgMsuu4xZs2Yxc+bM0L+6dety0003MXHiRAC6du1KTk4Oq1atCu3ju+++IxgM0qlTpxN6DSLlxh5LXpsjvWwT1v0DAgUWBnRibEW7SFp+HckrRmLz7gUg6Egit92zxUW/+NMsjlBOViC+NdlnfETQVRcAZ+5Skn8aguHLtjiyqsFx8HvsRcUtQnyp/Qi661scUTVi2PCm9gPAFsjFmb3Y4oCkqjilou0NN9zAkCFDuOuuuxg4cCAAd999N926dePll19m+PDhDBs2rFwCFRGJOjFuvH27k3/rtXi7dcC0Ff9ItRUWEfP5t8S//DaO5WsgGLQ4UBGRmuOFF17gjDPO4O233+a6664r9XiXLl1Ys2ZNmGce26hRo5g2bRozZsxg48aNPPjggxQWFnL55ZcDcM899/D000+Hth85ciRfffUVr732Ghs3bmT8+PGsWrWK66+/HihevdumTZsS/5xOJ3Xq1KFly5ZAca/ePn368H//93+sWLGCJUuW8Mgjj3DJJZdQr169k0mPSLnw1h2Mt/a5ANiLfiVuyzOWxlMmpknM9jdJWXQW7sw5oWFP2sUc6PkDRY1HgXFKfx5LFAjEt+Hg6XMIOovPanDm/ETy0ssx/DkWRxb9Yna9E7pd1ECL78qbN3VA6LYz68TO+JGa65TO+TAMg0cffZQhQ4bwySefsHXrVoLBIE2bNuWiiy7izDPPLK84RUSilpkQj+fCc/Ce1Rn3V4txrF6PAdhy8oid+z8C3y/De85Z+NNbnlTPNxERKbv169fz97//PeLjderUKdXmoCwuvvhi9u/fz3PPPUdmZibt2rVj4sSJoXYHu3btwmY7UvDp1q0bTz31FM888wzjxo2jefPmvPDCC7Rp0+aEjvvUU0/xyCOPcMMNN2Cz2bjgggu47777Tjh+kXJlGOSlP0nKd70wTD9xW56hqOF1UXtFdFvBRhJ//guuA1+GxoLOOuS1fQpPvaGan1UzgYS2HDxjDrV+vASbLwtn9mKSf7qC7G7TMR26eHBYgSLce4ovIm/a4/HUHWxxQNWP76iirSvrcwpOu9/CaKSqKJdGPWeccQZnnHFGeexKRKTKMlOSKbr0PGw9uuJe+D2ODcWnF9mzDhI741MCDeriObc7geaRL+AoIiKnJjY2lsLCwoiPb9u2jVq1ap3Uvq+//vrQStnfeuutt0qNXXTRRVx00UVl3v+CBQtKjdWqVavECl6RaBFIaEthkz8Q9+sLGMEiEtb9k5zOk60Oq6Sgn9hf/0v8xscwgkd+LhQ1uIa8Nv/CdKVaGJxUpEBCew6ePptaSwZh8+3Hmf09yUuv5GDXD8CRYHV4Uce171Ns/oMAeOoOAnu8tQFVQ0F3ffwJGTjyVuHIWYbhzdLPIDkunf8hIlLOgnVTKRx2MQXXD8Hf+EgvKPuuvcS9PZvYt2dh27nXwghFRKqv7t27M3PmTPxh+opnZmYybdo0evfubUFkItVPQcu/h/qHuvfOwpn1hcURHWHPXUmtHwaQsP6+UME2ENOEg12nk5vxsoolNUAgMYODp88i6KgFgPPgIpKXDYdAvrWBRaGSrRGutjCS6u1wiwQDE1dW6Q9qRX7rlIq2pmnyzjvvcOWVV9K9e3fatWtX6l/79u3LK1YRkSol0KQBhdcPoWDYxQTqHvnDwLFlB/FvfkDM9E+wZR2wMEIRkepn9OjR7N69myuvvJJ3330XwzD4+uuv+c9//sPgwYMxTZPbb7/d6jBFqgXTmUxe64dC9xPW3mP9VdEDRcRteJiU7/vizF0KgIlBQZNb2d/ze3x1zrM2PqlUgcROZB9VuHUd+JrkpVdVqYvnVTTDtx/Xvk8ACLjq4Uvpa3FE1Zf3Ny0SRI7nlNojPPnkk7zxxhu0a9eOSy+9lOTk5PKKS0SkejAMAqc1o6BVUxw/r8f95WJsB4svhOBcuwnHus34Oqbj7X0GZrJ6bImInKqWLVsydepUHnvsMZ599llM0+TVV18F4KyzzuKBBx6gcWO1qREpL54G1+Db/hrO7MU48tcSu+1lCpv9yZJYHAcWkbjmzzjy14XG/PHp5LZ/Hn+t7pbEJNbzJ3Uhu9tMkn+6DJs/G9eBL0ledg3ZXd4Be6zV4VnOvXsGhln8YYun/jCwlUsXTQnDl9IT0xaHESzAmfU5mKZ6assxGaZpmif75J49e3LWWWfx7LPPlmdM5SozM7dSj+dy2fF6A5V6zKpCuQlPeYmsWuYmEMC5fA2ur5dgyz/yCb9pt+Pr1gFvr26YcceePFbLvJQT5SY85SUy5SY8K/KSllb+H1xlZ2ezdetWTNOkSZMm1K5du9yPEW0qe+4L+j6KpCblxZH9E7V+6IeBSdCeyP6zf8J014u4fXnnxvDnEr/hQWK3TQiNmYaDghZjKGhxN9jc5XasilST3jMnqjxy48heTPJPQ7H5ixdQeFMHkN35bbDHlEeIliiPvNRafAHOg98BsL/H1wQSO5VHaJaL1u+npKXDcB9a2by/xzcEEjtW6vGjNS/RoLJzU5a57ym1RygqKqJXr16nsgsRkZrFbsfXLYP8W6/F07c7ptsFgBEI4Fq8gvgXp+D6ajF4vCWf5/fjWLmWmOkf43xjOjHTP8axci2E6dkoIiLFkpOT6dSpE507d64RBVsRq/iTu1HUaCQAtkAuCesfqLRjuzI/IWVR9xIFW19SNw50/4qCVv+sMgVbqXj+5DPJ7voBQXvxhchcWZ+TtOJ6CHosjsw6toLNoYKtP74dgYTKLSDWRGqRICfilNa99+zZk5UrV3LVVVeVVzwiIjWDy4m3Vze8Xdvj+m4Zrh9XYPgDGF4f7q9/xLlkFd6zT8fXtQP2zb8SO+cLjCIPpgHGobNonGs3Y87/hsJB/Qm0bm71KxIRiQozZ84s03ZDhgyp0DhEapr80x7AvWcmNn82MbumUth4VIW2JDC8WSSs/Rsxu6eFxkxbLPmn/R+FTW8Dw15hx5aqy1+rO9ldP6DW0ssxAvm4931K0vIR5HSeDDaX1eFVuqO/f4oaXK1T9SuB7zdF28Lmo60LRqLeKbVH2LNnD7///e+55JJLuOqqq0hJSSnP2MqF2iNED+UmPOUlspqUGyM3H9c3P+JctgbjqB/LwdgYjMKi4m3CPO/wloVXDiTQukXFBxrlatJ75kQoL5EpN+FV5fYIbdu2jfiYcdQfo2vWrCmX40UbtUeIHjUxL7G/vkjC2r8B4EvsysHuC8IWT08pN6aJe/f7JKy9B5svKzTsrX0uue2eJRhXdedDNfE9U1blnRvngW9I/ukKjGBxuzJP2iXkdHqzyhVuT/V7KeXbbjgKNmJisL/PaoIx1afne9R+P5kmtb/uhL1oK6bhYl+/rWCPr7TDR21eokA0tkc4paJt165dMU0Tj6f4dAK3243NVrLjgmEYLFmy5GQPccpUtI0eyk14yktkNTE3xv6DuL9cjHPNhjI/xwSIcZP355HgqNkXDqiJ75myUF4iU27Cq8pF2x07dpQaCwaDbN++nbfffpudO3fyxBNP0KpVq3I5XrRR0TZ61Mi8BP2kfN8bR97PAOS2e46ixjeW2uxkc2Mr2k7CmjtD/SABgo5a5LX5F56G11X5VYI18j1TRhWRG+f+r0heeiVGsBAAT91Lyen4Otic5XqcinQqeXFk/0jKD/0B8KacQ/YZc8ozNMtF8/dTws+jid3xGgDZXabhTRtYaceO5rxYLRqLtqf01/2FF15YYsWCiIicGrN2LYqGnI+3Rxdi5nyBPTPruM8xAIo8OH7ZhD+jTYXHKCISzRo1ahR2vEmTJvTs2ZNbbrmFyZMn88ADlddzU6TGsDnIS/83tZZcAkD8hofw1LsM03mKZ2SaQWK2v0b8+gewBY58MOGpexl5bf9N0F3/1PYvNZKvdh+yu7xL8rLhGMEi3Htnkbjq9+RmvAq26r8QImbXO6HbngZqeVmZvHUGhIq2zqzPK7VoK1XLKf0kevzxx8srjpA9e/bw73//m6+++orCwkKaNWvGv/71Lzp2LG6I/fe//50ZM2aUeE7v3r159dVXyz0WERGrBOunEaydhC0zK2xbhN8yDXCsU9FWROR4zj33XJ599lkVbUUqiK92H4rqXU7MnunYfFnEbfwX+W3/fdL7s+evJ+HnP+M6+G1oLOCqR17bp/HWu7Q8QpYazJd6Ltld3iZ52dUYQQ8xe2YANnIzJlTvwm3Qh3v3BwCYthg8dfW9VJl8KedgGnYMM4Ar63PyrQ5IotYJ/xRavXr1CR+kQ4cOZdouOzuba665hu7duzNhwgRSUlLYunUrycnJJbbr06cPY8eODd13uapW3xkRkbIwCj1lKtjCoYuTFdbcK9+KiJTVtm3b8Hq9VochUq3lt3kUd+bHGMECYrdPpKjRjQQSy/Y3YUjQR+zW54jf9DhG8Mgcp7DhSPLbPHLqq3dFDvGlDiC781SSl12DYXqJ2fMBGDZyM16pthe0c2XND/WE9qRdjOlMPs4zpDyZzmR8yd1xHfwWR8EGbIVbCMY2tzosiUInXLS94oorytwSwTRNDMMo84UeJkyYQP369UsUZJs0aVJqO5fLRVpaWtkCFhGposxYN6ZRXJA97rZG8fYiIjXd4sWLw47n5OTw448/8tZbbzFgwICw24hI+QjGNKagxRjiNz6CYQZIWPtXsk//qMw9Zx05S0n4+c84c1eExgKxzclt9xy+1HMrKGqpyXx1zien82SSll+HYfqI2f0eGHZyO7xYLQu37l3vhm6rNYI1fKkDQmcQuPZ9TlGTmyyOSKLRCRdtjy6olrcFCxbQu3dv7rjjDhYvXky9evW49tprGT58eIntfvjhB3r27ElSUhI9evRg9OjRpKTok1YRqV78rVvgXLu5TNsaJgSahe/jKCJSk4wYMSLsAgPTNLHb7QwcOJD77rvPgshEapaCZn8mZudb2Au34DrwNe490/HUv+LYTwoUEr9pLLFbx2OYxReDMbFR2Ox28lv9E+xxlRC51FTetIGHCrfXFxdud71TXLht/wIYtuPvoIowfNm4M+cCEHSm4k09z+KIaiZv6gDiNz4CgCtLRVsJ74SLtkOHDq2IOIDi09XefvttRo0axa233srKlSt59NFHcTqdoeP26dOH888/n8aNG7Nt2zbGjRvHzTffzLvvvovdXvoTMKfTXqkXEXU4qt+ncOVFuQlPeYmsxuemcxvM+d9AUdnaJLi/WYKtXipmy9JnKNQUNf49E4HyEplyE15VzsukSZNKjRmGQVJSEo0aNSIhIcGCqERqIHsMeelPkLyseBVf/Np/gj8Xd9Z87P4DxDhS8KRdgqfeULDH4Nz/FQk//xlH4abQLvwJHcht/zz+5NOtehVSw3jTLiKn05skrRiJYfqJ2TkF03CQ1+7ZalO4de+dhREsAij+IMXmtDiimsmf1IWgMxWbLwvn/oUQ9On/QkoxTNMsw4m3lSMjI4OMjAzeeefIVQwfffRRVq5cybvvvhv2Odu2beO8887jjTfeoGfPnqUez8zMDfOsiuNy2fF6A5V6zKpCuQlPeYlMuQH7+i3Evj8PIGzh9vAPcOOo+95e3fD2PgPCfJBV3ek9E57yEplyE54VeUlLS6zU41VXlT33BX0fRaK8AKZJ0tIrcWd9dmQIGwbB0NegIxlf0hm4939+ZBvDRUHLeyhoPhpsNef6JXrPRFbZuXHt+ZCklTeGVnwXNvodee3GRV3h9mTykvzjIFwHvgTgwFkL8CefURGhWa4qfD8lrvwdMbvfB+DgGR/jS+lV4cesCnmxSmXnpixz36j6iZOWlkarVq1KjLVs2ZKdO3dGfE6TJk1CFywTEaluAq2bU3jlQIgp7ldrHqrOHv5KjJuiQf3xN28MFBdv3d/+RNyUDzEO5lR+wCIiUaKgoICFCxcydepUpk6dysKFCykoKLA6LJGaxTDwpl3E0auEDIIlv/qzSxRsfcndOdDjGwpa3lOjCrYSXbz1LiM341XMQ/1sY3e8RsIvd0P0rHk7Kbai7TgPfAWAP64V/iStYreSN/VIj31n1nwLI5FodcLtESpSt27d2Ly5ZP/GLVu20KhR5D6Nu3fv5uDBg7owmYhUW4HWLcj7cxMcv2zCsW4T9iIvgRgX/jYt8bdtCQ4H/ow2uL5fhmvhDxjBIPYde4h/7T2KLj4Xf9tWxz+IiEg18tZbb/HMM89QUFDA0SeVxcfHc+edd3L99ddbGJ1IDRIoIn7Dw8fc5OizhfJa/4uiZn+MutWMUjN56l8OZoDEVTdjECR2+0RMw05++pNlvqhetHHveg/j0McongZXV9nXUV34jiraurI+p+C0+y2MRqJRVBVtb7jhBq655hpeeuklLrroIlasWMG0adN4+OHiX/T5+fk8//zzXHjhhdSpU4dt27bx73//m2bNmtGnTx+LoxcRqUCHCrP+jDbhT9swDLw9uuJv0pDYDz/Dlp2L4fESO+NTvF3b4xlwNjij6ke+iEiFmDlzJo899hhdunRh5MiRtGzZEoBNmzbx1ltv8dhjj5GQkMCQIUOsDVSkBnDvmYHNf7BM2xqA6a6jgq1EFU+DYUCAxFV/wMAkbtvLYNjJbzO26hU8TbP44mqHFNUffoyNpTIE3fXxJ2TgyFuFI2cZhjcL05VqdVgSRaKqpy3AF198wbhx49iyZQuNGzdm1KhRDB9e/MOkqKiI22+/nZ9//pnc3Fzq1q3L2WefzV/+8hfq1KkTdn/qaRs9lJvwlJfIlJvwjpuXIg8xH3+Jc82G0FCgTgpFQy4gmFa7EiK0jt4z4SkvkSk34VXlnraXXXYZSUlJvPHGG6UuUhsIBLjxxhvJycnhww8/LJfjRRv1tI0eygskLb8e1945oVYIx2Jiw1t3EDmdJ1dCZNFJ75nIrM6Ne+dUElffFlqlWtDsDvJbP2J54fZE8mLPXUHt73oD4KvVg4NnflqRoVnO6vdMWcWv+z/itj4LQE7Gq4c+KKg4VSUvVojGnrZRt+yqX79+9OvXL+xjMTExvPrqq5UckYhIFRPjpuiy8wi0aIz7068x/H7s+w4Q98b7eM47G1+X9pZPMEVEKsrmzZv529/+VqpgC2C32xk4cCBPPPGEBZGJ1DyGb3+ZCrZQ3OPW8O2v4IhETo6n4bVgBkn6+Y8AxG19rnjF7WkPVpl5dczOo1fZXmVhJHI0b53zQkVbV9bnFV60lapF556IiFRHhoGvczsKRl1JoG7xKTaGP0DMx18SM/NTKPJYHKCISMVITExk+/btER/fvn07CQkJlRiRSM1lOmtjlvFPThMbprN6nxEkVZun0fXkthsfuh+35T/EbXykalycLOjHvfs9AEzDiaf+UIsDksN8tXpg2uIAcGZ9XjXeT1JpVLQVEanGgnVSKLjhcrzdMkJjzl82Ef/ae9i277YwMhGRitG3b18mT57MRx99VOqxuXPnMmXKlIhndYlI+fKkXXJCK209dQdVcEQip6ao8Q3ktnsmdD9+81PEbRprXUBl5DywELt3DwDeOhfqA5JoYnPjrV18jSa7dw/2vFUWByTRJOraI4iISDlzOPBc2IdA80bEzP0fRpEHW3YucZNn4j3nTLw9uoJNn+GJSPVw9913s2zZMu6++24ef/xxmjdvDsCWLVvYt28fLVu2ZMyYMdYGKVJDeOoNJbj2bxj+7FAv0HBMDExHMp66QyovOJGTVNT4d2D6SfzlbgDiNz0Ohp2Cln+zOLLISlyArMHVFkYi4XhTB+De9wlQ3CKhMLGjxRFJtNBf6SIiNYQ/vSX5vxuGv3F9AAzTxL3wB2LfnYORl29xdCIi5aN27drMmDGDv//977Rp04Z9+/axb98+2rRpw7333sv06dOpXVsrjEQqhT2G3IyXgeLCbDiHx3MzXgZ7TKWFJnIqiprcQl76kf7o8RsfI27zUxZGdAz+PNx7ZgMQdNTCm3ahxQHJb/lSB4Ruu7I+tzASiTaGaVbvhhmVfQVdXYkvMuUmPOUlMuUmvFPOSzCI6+sfcX2zJPTnUzAuhqJB/Qm0alYuMVpF75nwlJfIlJvwrMhLWa6gK8dX2XNf0PdRJMrLEa69c0lcfSs2/0FMbBgEQ1+DjlrkZryMN+0iq8O0nN4zkUVrbmK3Pk/Cun+E7ue1fpjC5qMr7fhlyYt71zskrboFgMJGo8hr/2xlhGa5aH3PhGWa1P66E/airZiGi339toI9vkIOVaXyUskqOzdlmfuqPYKISE1js+E95ywCzRoRM+tzbHn52AqKiJs2F+9ZnfGc2x3CXHVdRERE5GR4615MVuo63Htn4t47B7v/AAFHCp66g4pbImiFrVRRhc3+BGaQhPX3AZCw/n7ATmHzP1sb2FFidr0buq3WCFHKMPCmDiB2x2sYphfX/q/wpg20OiqJAiraiojUUIFmjSi4aRgxH32BY8NWAFw/LMf+604KLzsfs3ayxRGKiJycr776ivfff59t27aRk5PDb08sMwyD+fPnWxSdSA1lj8HT4Go8Da7WSi+pVgqb3wGmn4QNDwKQsP6fYNgobHa7tYEBNs9unFlfABCIaYa/VneLI5JIvHWKi7YAzqzPVbQVQEVbEZEazYyLpfDKi3D+uBL3F4swAkHsuzOJf/09ii48B39GG6tDFBE5IRMnTuTpp58mNTWVTp06kZ6ebnVIIiJSzRW2uAvDDBC/8REAEtbdi2nYKWp6q6VxuXe/j0EQgKIGw8HQZY2ilS/lHEzDgWH6cWV9jq44IqCirYiIGAa+MzsRaNKA2JmfYTuQjeH1ETv7c3xbtlN0QR9wOa2OUkSkTCZNmkSPHj145ZVXcDr1s0tERCpHQcu/guknftNYABLX3gOGnaImN1sWk/uo1ggetUaIaqYzGV/yWbgOfoujYAO2wi0EY5tbHZZYTB+ziIgIAMH6aeT/bhi+jkdWpTlXriX+9few7c60MDIRkbLLycnhwgsvVMFWREQqXUGre8lvcU/ofuIvY4jZ/rolsdjz1uDMXQ6AL6kbgfjWlsQhZedLHRC67dr3uYWRSLRQ0VZERI5wOSka1J/CwQMwD62ute3PJm7SdJyLV8Bv+kKKiESbjh07snnzZqvDEBGRGqqg1T8paD4mdD9xzV+I2TGp0uOIKbHK9qpKP76cOO/RRdssFW1FRVsREQnDn9GG/FFXEqifBoARCBIz/xti35+HUVBocXQiIpE9+OCDfPbZZ8yePdvqUEREpCYyDPJPu5+C5qNDQwk//xn3zimVF4MZxL17WvFNw05R/Ssr79hy0vxJXQg6UwFw7l8IQZ/FEYnV1NNWRETCMmvXomDkUNz/+x7XD8WnVjk2bCXu1fcounQAgWaNLI5QRAQGDx5caszv93PPPffw4IMPUr9+fWy2kusUDMNg1qxZlRWiiIjUNIZB/mkPQdBP3K/PY2CSuPqPgA1Pw2sq/PDOA99gL9oOFK/eNF1pFX5MKQeGDW9qP2J2v48tkIszezG+lF5WRyUWUtFWREQis9vxDOiFv1kjYj5agK2gCFtePrFTZ+E9+3S8vc8Am07aEBHr1KpVK+xYs2bNKj8YERGRwwyD/DaPAQHifn3xUOH2NjDseBoMr9BDu3e9E7qtC5BVLd7UAcTsfh8AZ9Z8FW1rOBVtRUTkuAKnNaPgpuHEzP4cx5YdGID7myXYt+6g6LLzMZMSrA5RRGqot956y+oQREREwjMM8ts8jmEGiN32CgZBElfdUly4rX9FxRwzUIh774cABO2JeNIurpjjSIXw/aavbcFp91sYjVhNy6NERKRMzIR4Cq8ahKdvd0zDAMCxfTfxr07DsXaTxdGJiIiIiEQhwyAv/d8UNr6p+C5BElf9HteeGRVyOHfmPGz+HAC89S4Fe1yFHEcqRtBdH39CRwAcOcswvPssjkispJW2IiJSdjYb3l7d8DdtSOys+diyczGKPMRO/wRvtw54+vcCp361iEjlWbx48Uk978wzzyznSERERCIwDPLaPg1mkNgdr2OYAZJW/o4c7MWF1XLk3vVu6HaRWiNUSd46A3DkrcTAxJW1oMLbaUj00l/WIiJywoKN65P/u2HEzPsfzl+KV9m6flqNfdsuioZcQLBOisURikhNMWLECIxDq//LwjRNDMNgzZo1FRiViIjIbxg28tr9B8wAsTsnHSrc3kiO8RbeupeUzyG8+3BlfQZAwN0QX0rvctmvVC5v6gDitjwDFLdIUNG25lLRVkRETk6Mm6IhFxBYtgb3/K8x/AHsmfuJe/19POefja9zOziBQoqIyMmYNGmS1SGIiIiUjWEjr/1zGASI2TkFw/STtGIkOZ0n40276JR3794zHcP0AxQX+gz7Ke9TKp+vVg9MWxxGsABn1gIwTf1dVUOpaCsiIifPMPB1bU+gcT1iZn6Gfd8BDL+fmHkLsW/ZQdHAcyDGbXWUIlKNnXXWWVaHICIiUnaGjdz2z4MZIGbXOximj6TlI8jpPAVv2oWntOuYXe+EbhfVv+pUIxWr2Nx4a/fBve8T7N492PNWEUjsaHVUYgFdiExERE5ZMC2VghuvwNu1fWjMuWYD8a+/h23HHgsjExERERGJMoad3A4vUlR/WPFd00vSiutx7pt/0ru056/Hmf0jAP6EjgQSO5RLqGINb+qA0G1X1ucWRiJW0kpbEREpH04nnoF9CTRvTMzc/2F4vNgO5hI3eSbec87C26OLTusRkXJ37733YhgGjzzyCHa7nXvvvfe4zzEMg3/961+VEJ2IiEgEhp3cDi8Xr7jdMx0j6CF5+bVkd3kXX2q/E96de/e00O2iBlplW9X5flO0LWw+2rpgxDIq2oqISLnyt21Ffv00YmfNx75jD0YwiPt/32Hfsp2iwQMwE+KsDlFEqpHvv/8ewzAIBoPY7Xa+//774z7nRC5cJiIiUmFsDnIzJmKYQdx7Z2IEi0hedhXZXd/DV7tv2fdjmsTserf4JjY8h1bwStUViDuNQEwz7EVbcR5YBIF8sMdbHZZUMhVtRUSk3Jm1kii47jJcX/+I69ufMADHlu3EvTqNosEDCLRsYnWIIlJNLFiw4Jj3RUREoprNQU7HV0laGcC9d3Zx4XbpcLK7foCvdu8y7cKR/QP2wi0A+Gr3JRjToAIDlkphGHhTBxC74zUM04tr/1d40wZaHZVUMvW0FRGRimG34+3bncJrBhOML15daysoJO7dObgXLIJAwOIARURERESigM1JTsfX8aRdDIARLCR52TCcB74t09NLXIBMrRGqDW+d80K3neprWyOpaCsiIhUq0LwxBTcNw9+yaWjM9f0y4t6aiXEgx8LIRKQm2LhxIy+88AIPPvggb775Jnl5eSe9rylTptC/f386duzIsGHDWLFixTG3nzdvHgMHDqRjx44MHjyYhQsXlnh8/PjxDBw4kC5dunDmmWdy4403snz58hLb9O/fn/T09BL/XnnllZN+DSIiEqVsLnI6vYmnzoUAGIF8kpZeiePgd8d+XtCLe/cHAJi2ODx1L63oSKWS+Gqfg2kUnyDvyjr5i9RJ1aWirYiIVDgzPo7C4RdTNKAXpq34V499117iX38Px8/rLY5ORKq6yZMnc+GFF7J///4S4wsWLGDIkCGMHz+ed955h7FjxzJ06NBS25XF3LlzGTt2LLfffjszZsygbdu23HTTTWRlZYXd/qeffmLMmDFceeWVzJw5kwEDBnD77bezbt260DbNmzfn/vvvZ/bs2UydOpVGjRrxu9/9rlR8d9xxB19//XXo3/XXX3/C8YuISBVgc5PTeTKe1POL7wbySP7pChwHf4j4FNe+T7H5DwLgqXsJOBIqI1KpBKYjCV/yWQA4CjZiO9QCQ2oOFW1FRKRyGAa+szpTMHIowVpJxUMeL7Efzsf90Rfg9VkcoIhUVQsWLKBJkybUrl07NOb3+7nvvvuw2+2MHTuW2bNnM2bMGHbu3MlLL710wsd4/fXXGT58OFdccQWnnXYaDz30EDExMXzwwQdht580aRJ9+vTh97//Pa1atWL06NG0b9+eyZMnh7YZPHgwvXr1okmTJrRu3Zp7772XvLw81q5dW2Jf8fHxpKWlhf7FxemCjiIi1ZbNTU7nKXhT+xffDeSSvPRyHNk/ht388AXIAIoaXF0pIUrl8aUOCN127VOLhJpGRVsREalUwQZ1yf/dMHwdWofGXCt+Ie6N97Ht2WdhZCJSVW3YsIEuXbqUGPv+++/Zv38/N9xwA0OHDqV169bcfPPNDBw4sFSbguPxer2sXr2aXr16hcZsNhu9evVi6dKlYZ+zbNkyevbsWWKsd+/eLFu2LOIx3n33XRITE0lPTy/x2IQJE+jevTtDhgxh4sSJ+P3+E4pfRESqGHsM2Z3fxlv7XABs/hySfxqKI+c3v3N8B3BlzgMg6KqLr3a/Sg5UKpr36KKt+trWOA6rAxARkRrI7aLo0vPwt2hCzCdfYvj82LMOEvfmdDz9e+I7PQMMw+ooRaSKOHjwIPXr1y8xtmjRIgzD4Pzzzy8x3q1bNz777LMT2v+BAwcIBAKkpqaWGE9NTWXTpk1hn7Nv3z7q1KlTavt9+0p+OPXFF19w1113UVhYSFpaGq+99lqJFcMjRoygffv2JCcns3TpUsaNG0dmZib33nvvCb0GERGpYuyxZHd5h+Slw3Ed+BKbP5vkJZeR3fV97AUbcWd+hCN/DYbpBaCo3hCwqcRT3fiTuhB0pmLzZeHcvxCCPrA5rQ5LKom+o0VExDL+junkN6xH7IefYd+zDyMQIOazr7Fv2U7RJf0gNsbqEEWkCqhTp06pYuiPP/5ITEwMbdu2LTHucrlwOqPnj53u3bszc+ZMDhw4wLRp0xg9ejTvvfdeqEA8atSo0LZt27bF6XTywAMPMGbMGFwuV6n9OZ32Sv/My+GwV+4BqwjlJTLlJjzlJbKam5tECs96H9viy3Hs/xqb/yC1Fp+PgYmJDYNgaMvYXW9j1jsff72LLYw3elSf94wdf1p/XDvfwxbIJbZgCYHaZ5/03qpPXspfNOZGRVsREbGUmVqLgpGX4/5iEa4fVwLgXL8F+6vTKLrsPAJNGlocoYhEu4yMDGbMmMH1119PQkIC69evZ+XKlQwYMACHo+R0d9OmTaVW5R5PSkoKdru91EXHsrKySq2mPSxcITnc9nFxcTRr1oxmzZrRpUsXLrjgAt5//33+8Ic/hN1v586d8fv9bN++nZYtW5Z63OcLnMhLKzderzXHjXbKS2TKTXjKS2Q1NzcxeDtPI+WHfjjy12JgApQo2ALgzyPux+HkdH4bb10VbqH6vGeMlOKiLYCx+1O8CT1OaX/VJS8VIdpyo562IiJiPYcdz/m9KbjyIoKHVtfacvOJnTIL11eLIRg8zg5EpCa7/fbb2blzJxdeeCE33HAD11xzDYZhcMstt5Ta9rPPPqNr164ntH+Xy0WHDh1YtGhRaCwYDLJo0aKI++rSpQvfffddibFvv/22VO/d3woGg3i93oiPr1mzBpvNVqpVg4iIVGOGA5tn96FybYRNDj2auPpWCBRVTlxSKXzqa1tjqWgrIiJRI9C6OQU3DcPftHh1rWGauL/+kdi3Z2Pk5FkcnYhEq/T0dN588006dOjA3r176dy5M6+88goZGRkltvv++++JjY1l4MCBJ3yMUaNGMW3aNGbMmMHGjRt58MEHKSws5PLLLwfgnnvu4emnnw5tP3LkSL766itee+01Nm7cyPjx41m1ahXXX389AAUFBYwbN45ly5axY8cOVq1axb333suePXtC8S1dupQ33niDX375hW3btjFr1izGjh3LpZdeSnJy8smmS0REqhj3nhnY/Nkcr/uNgYnNfxD33pmVEZZUkqC7Pv6EjgA4cpZheHXx5ppC7RFERCSqmIkJFF4zGNe3P+H6+kcM08Tx607iX51G4aB+BFq3sDpEEYlC3bp145VXXjnmNt27d2f27Nkntf+LL76Y/fv389xzz5GZmUm7du2YOHFiqN3Brl27sNmOrIfo1q0bTz31FM888wzjxo2jefPmvPDCC7Rp0wYAu93Opk2bmDFjBgcOHKBWrVp07NiRKVOm0Lp1a6B4he/cuXN5/vnn8Xq9NG7cmBtvvLFEn1sREan+3JkflephG4mJDffeOXgaXF0JkUll8dYZgCNvJQYmrqwFeBoMtzokqQSGaZrHWmFf5WVm5lbq8Vwue9T1wIgWyk14yktkyk14NSkv9m27iJk1H9tRq2y9p3fE078HOEp/7liTcnMilJfIlJvwrMhLWlpipR6vuqrsuS/o+ygS5SUy5SY85SWymp6b5B8vxnXg6zJv703pTfYZcyswouhX3d4zzv0LqbVkMABFDa4hN+Plk9pPdctLears3JRl7quVtiIiErUCTRqQ/7thxMz9H851mwFwLVmJffsuCi87DzM1Bfx+HGs24li/GXuRB1uMG3/rFvjbtQpb2BURERERqUpMZ+0TWmlrOmtXQlRSmXy1emDa4jCCBTizFoBpgnG8hhlS1emvWRERiW6xMRRdfiGBn1bj/vxbjEAA+559xL/+Pt7O7XCtWotR5MU0wDg0d3Gu3Yw5/xsKB/Un0Lq51a9AREREROSkedIuwb13Vpm2NQjiqTuogiOSSmdz463dB/e+T7B792DPW0UgsaPVUUkF04XIREQk+hkGvtMzKLjxCgKpKcVDPj/uH1dCUfFV1o1DzX4Of6XIQ+z787Cv32xBwCIiIiIi5cNTbyhBRy3M41yKzMQg6KiFp+6QyglMKpU3dUDotivrcwsjkcqioq2IiFQZwbqpFNx4Bd6ObUJjkaauh8dj53wBfn+FxyYiIiIiUiHsMaEeppEKt4fHczNeBntMpYUmlcenom2No6KtiIhULS4ngWaNy7SpARhFHhy/bKrYmEREREREKpA37SJyOr+N6UgGinvXlvjqSCanyzt40y6yLEapWIG40wjENgfAeWARBPKtDUgqnHraiohIleNYvznUw/Z4TAMc6zbhz2hz/I1FRERERKKUt+7FZKWuw713Ju69c7D7DxBwpOCpO6i4JYJW2FZvhoE3dQCx21/FML249n+FN22g1VFJBVLRVkREqhyj0FOmgi0cujhZoadiAxIRERERqQz2GDwNrsbT4GpcLjteb8DqiKQSHS7aAriy5qtoW82pPYKIiFQ5Zqwb89jXYTiyrVG8vYiIiIiISFXmq30OplG8/tKpvrbVnoq2IiJS5fhbtzihlbb+Ni0rNiAREREREZEKZjqS8CWfBYCjYCO2wi3WBiQVSkVbERGpcvztWmHGuClL3dYEgrVrVXBEIiIiIiIiFc+XOiB027VPq22rMxVtRUSk6nE4KBzUHyBi4fbwuAHEvTMb+9YdlRGZiIiIiIhIhfEeXbRVi4RqTUVbERGpkgKtm1N45UCIKe5Xe7jHbajXrdtFoHYyAIbHS+y7c3D8vMGCSEVERERERMqHP6kLQWcqAM79CyHoszgiqShRV7Tds2cPd999N927d6dTp04MHjyYlStXhh43TZNnn32W3r1706lTJ2688Ua2bNliXcAiImKZQOsW5P15JIWDB+Bv04Jgs0b427SgcPAA8u64gYJRw/C3agaAEQgS++FnOH9YbnHUIiIiIiIiJ8mw4U3tB4AtkIsze7HFAUlFcVgdwNGys7O55ppr6N69OxMmTCAlJYWtW7eSnJwc2mbChAm89dZbPP744zRu3Jhnn32Wm266iblz5+J26+rgIiI1jsOBP6MN/ow2uFx2vN5AiYcLrxyIe95CXCt+ASDm82+x5eXj6dcTDCPcHkVERERERKKWN/U8Yna/D4Azaz6+lF4WRyQVIapW2k6YMIH69eszduxYOnXqRJMmTejduzdNmzYFilfZTpo0idtuu43zzjuPtm3b8uSTT7J3717mz59vcfQiIhKVbDY8F5+L5+zTQ0Ou75cTM/tzCASO8UQREREREZHo49XFyGqEqCraLliwgIyMDO644w569uzJkCFDmDZtWujx7du3k5mZSa9eRz5BSExMpHPnzixdutSKkEVEpCowDLznnEXRwHMwD62uda5eT+y0ueDxWhyciIiIiIhI2ZnuevgTOgLgyF2G4d1ncURSEaKqPcK2bdt4++23GTVqFLfeeisrV67k0Ucfxel0MnToUDIzMwFITU0t8bzU1FT27Qv/BnU67ZV69qvDYa+8g1Uxyk14yktkyk14yktkx81N9074kxNwfPAJhj+AY8t24qd+iO+6wZAQXzlBWkDvmciUm/CUFxEREZHo5q0zAEfeSgxMXFkL8DQYbnVIUs6iqmhrmiYZGRncddddALRv357169fzzjvvMHTo0JPap89X+ae+/rafohyh3ISnvESm3ISnvER23Ny0bIbtmkuJe28uRpEH2+59OCe+T8FVgzBTa1VKjFbQeyYy5SY85UVEREQkenlTBxC35RkAXFmfq2hbDUVVe4S0tDRatWpVYqxly5bs3Lkz9DhAVlZWiW2ysrKoU6dO5QQpIiJVXrBxfQpGDCWYlACALTuXuLdmYNuxx+LIREREREREjs9XqwemLQ4AZ9YCME2LI5LyFlVF227durF58+YSY1u2bKFRo0YANG7cmLS0NBYtWhR6PC8vj+XLl9O1a9dKjVVERKq2YJ0UCkZeTqBuccsdW2ERcVNnYV+/xdrAREREREREjsfmxlu7DwB27x7seassDkjKW1QVbW+44QaWL1/OSy+9xNatW5k9ezbTpk3j2muvBcAwDEaOHMmLL77I559/ztq1a7nnnnuoW7cu5513nsXRi4hIVWMmxlNw3WX4mzUEwPD7if3gY5zLfrY4MhERERERkWPzpg4I3XZlfW5hJFIRoqqnbadOnXj++ecZN24cL7zwAo0bN+Yf//gHl156aWibm2++mcLCQu6//35ycnI4/fTTmThxIm6328LIRUSkyopxUzh8EDFzFuBcswHDNImZtxAjrwDv2adTqVezFBERERERKSNf6pEFjK6szylsPtq6YKTcGaZZvZteZGbmVurxXC67LtwRgXITnvISmXITnvIS2SnlxjRxf/4trsUrQkPeLu3xXNgHbFF1YsoJ03smMuUmPCvykpaWWKnHq64qe+4L+j6KRHmJTLkJT3mJTLkJT3mJrMbkxjSp/U1n7IVbMA0n+87dCo6EiJvXmLychMrOTVnmvlX7r1AREZHyYhh4zjubov49Q0OuZT8TM/0T8PksDExERERERCQMwwi1SDBMH64DX1kckJQnFW1FRESO4uvehcJLB2AeWl3rXL+FuLdnQ0GRxZGJiIiIiIiUpL621ZeKtiIiIr/h79CGwqsuwXQ5AbDv2EPcWzMwDuZYHJmIiIiIiMgRvtrnYBrFl6xyqmhbrahoKyIiEkageWMKrh9CMD4OAPv+g8S9NQPbnn0WRyYiIiIiIlLMdCThSz4LAEfBRmyFW6wNSMqNirYiIiIRBOvVoWDkUIK1kwGw5RUQN+VD7Fu2WxyZiIiIiIhIMd/RLRL2abVtdaGirYiIyDGYtZIoGDGUQMN6ABgeL7HvfoTj5/UWRyYiIiIiIqK+ttWVirYiIiLHYcbFUnDtYPynNQPACAaJ/XA+zh+WWxyZiIiIiIjUdP6kLgSdqQA49y+EoM/iiKQ8qGgrIiJSFk4nhVcMxNu5XWgo5vNvcX/+LZimhYGJiIiIiEiNZtjwpvYHwBbIxZm92OKApDyoaCsiIlJWNhuei/ri6X1GaMj1w3JiZs2HQMDCwEREREREpCY7ukWCM2u+hZFIeVHRVkRE5EQYBt4+Z1I0sC+mYQDg/HkDsdM+Ao/X4uBERERERKQm8upiZNWOirYiIiInwde1PYVXXIjpcADg2LKDuCkfYuTlWxyZiIiIiIjUNKa7Hv6EjgA4cpdhePdZHJGcKhVtRURETlKgdQsKrhmMGeMGwL5nH3GTZmBkHbA4MhERERERqWm8dYpX2xqYuLIWWByNnCoVbUVERE5BsHF9CkYOJZicCIAtO5f4STOwbd9tcWQiIiIiIlKTlGiRkKUWCVWdirYiIiKnKJiaQsGIoQTqpgJgFHmIe3s29vVbrA1MRERERERqDF+tHpi2OACcWQvANC2OSE6FirYiIiLlwEyMp+C6y/A3awSA4fcT+8HHOJf9bHFkIiIiIiJSI9jceGv3AcDu3YM9b5XFAcmpUNFWRESkvMS4KRx+Cb72pwFgmCYx8xbi+mqxPuUWEREREZEK5009L3RbLRKqNhVtRUREypPDTtGl5+E9q3NoyP31j7g/XgjBoIWBiYiIiIhIdec7uq/tvvkWRiKnSkVbERGR8mYYeAb0omhAr9CQa9kaYj/4GHw+CwMTEREREZHqLBDXikBscwCcBxeBP8/agOSkqWgrIiJSQXxndabw0vMwbcW/bh0bthI3dTZGQaHFkYmIiIiISLVkGHgPrbY1TB+uA19ZHJCcLBVtRUREKpC/Q2sKr7oE0+UEwL5zD7FvzcQ4mGNxZCIiIiIiUh15j26RoL62VZaKtiIiIhUs0LwxBdcPIZgQB4B9/0HiJs3AtmefxZGJiIiIiEh146t9DqbhAMCpom2VpaKtiIhIJQjWq0PBiKEEatcCwJZfQNzkmdi3bLc2MBERERERqVZMRxK+5LMAcBRsxFa4xdqA5KSoaCsiIlJJzFpJxYXbhvUAMLw+Yt/9CMfq9RZHJiIiIiIi1Ynv6BYJ+7TatipS0VZERKQyxcVQcO1g/Kc1A8AIBomdNR/n98usjUtEjmvKlCn079+fjh07MmzYMFasWHHM7efNm8fAgQPp2LEjgwcPZuHChSUeHz9+PAMHDqRLly6ceeaZ3HjjjSxfvrzENgcPHmTMmDF069aNM844g3/84x/k5+eX+2sTERGR6sVb57zQbfW1rZpUtBUREalsTieFVwzE26VdaChmwSLcn38LpmlhYCISydy5cxk7diy33347M2bMoG3bttx0001kZWWF3f6nn35izJgxXHnllcycOZMBAwZw++23s27dutA2zZs35/7772f27NlMnTqVRo0a8bvf/Y79+/eHtrn77rvZsGEDr7/+Oi+99BI//vgj999/f4W/XhEREana/ImdCTrrAODcvxCCPosjkhOloq2IiIgVbDY8A/vi6XNmaMj1w3JiPpwP/oCFgYlIOK+//jrDhw/niiuu4LTTTuOhhx4iJiaGDz74IOz2kyZNok+fPvz+97+nVatWjB49mvbt2zN58uTQNoMHD6ZXr140adKE1q1bc++995KXl8fatWsB2LhxI1999RWPPvoonTt35owzzuC+++7jo48+Ys+ePZXyukVERKSKMmx4U/sBYAvk4sz+weKA5ESpaCsiImIVw8Db+wyKLuqLaRgAONdsIHbaHCjyWByciBzm9XpZvXo1vXr1Co3ZbDZ69erF0qVLwz5n2bJl9OzZs8RY7969WbZsWcRjvPvuuyQmJpKeng7A0qVLSUpKomPHjqHtevXqhc1mO25rBhERERHvUX1tnWqRUOU4rA5ARESkpvN1aU8wPo7YmZ9h+P04tu4kbsqHFA6/BDMx3urwRGq8AwcOEAgESE1NLTGemprKpk2bwj5n37591KlTp9T2+/btKzH2xRdfcNddd1FYWEhaWhqvvfYatWvXDu3j8O3DHA4HycnJZGZmhj2u02nn0GdAlcbhsFfuAasI5SUy5SY85SUy5SY85SUy5eaQ+ufD6uKb7v2fg+NRa+OJYtH4nlHRVkREJAoEWjen4NrBxL43D1thEfa9WcS9NYPCqy4hmJpidXgiUkG6d+/OzJkzOXDgANOmTWP06NG89957pQrEZeXzWdNexetVW5dwlJfIlJvwlJfIlJvwlJfIlBvAloY/vgOO/NXYs5fiXnguDlddPGmX4Kk3FOwxVkcYVaLtPaP2CCIiIlEi2Kg+BSOGEExOBMCWnUvcpBnYtu+2ODKRmi0lJQW73V7qomNZWVmlVtMeVqdOnVKrasNtHxcXR7NmzejSpQv/+te/cDgcvP/++6F9HH1RMgC/3092djZpaWmn+rJERESkmnPtnYu9cAMABuA4+B2uvXNIWv0HUr9sgytznrUByjGpaCsiIhJFzNQUCkYOJVCvuLBjFHmIe3sW9vWbLY5MpOZyuVx06NCBRYsWhcaCwSCLFi2ia9euYZ/TpUsXvvvuuxJj3377LV26dDnmsYLBIF6vF4CuXbuSk5PDqlWrQo9/9913BINBOnXqdJKvRkRERGoC1965JC2/BoLeEuMGweKv/mySll2Na+9cK8KTMlDRVkREJMqYCfEUXHcZ/uaNADD8AWI/+ATn0p8tjkyk5ho1ahTTpk1jxowZbNy4kQcffJDCwkIuv/xyAO655x6efvrp0PYjR47kq6++4rXXXmPjxo2MHz+eVatWcf311wNQUFDAuHHjWLZsGTt27GDVqlXce++97Nmzh4EDBwLQqlUr+vTpw//93/+xYsUKlixZwiOPPMIll1xCvXr1Kj8JIiIiUjUEikhcfSsABmbYTQ6PJ66+FQJFlRaalJ162oqIiEQjt4vC4ZcQM+cLnD+vxzBNYj5eiJGbh7fPmVT6lYZEariLL76Y/fv389xzz5GZmUm7du2YOHFiqN3Brl27sNmOrIfo1q0bTz31FM888wzjxo2jefPmvPDCC7Rp0wYAu93Opk2bmDFjBgcOHKBWrVp07NiRKVOm0Lp169B+nnrqKR555BFuuOEGbDYbF1xwAffdd1/lvngRERGpUtx7ZmDzHzzudgYmhv8g7r0z8TS4uuIDkxNimKYZvuReTWRm5lbq8Vwue9Q1Lo4Wyk14yktkyk14yktk1TI3pol7wSJcPywPDXk7t8Mz8Bywle2EmWqZl3Ki3IRnRV7S0hIr9XjVVWXPfUHfR5EoL5EpN+EpL5EpN+EpL5HV9NwkLb8e1945oVYIx2Jiw1t3EDmdJ1dCZNGrst8zZZn7qj2CiIhINDMMPAN6UTSgV2jItXwNsR98DD6fhYGJiIiIiEg0Mnz7y1SwheIet4Zv//E3lEqnoq2IiEgV4DurM4WXnY9pL/7V7diwlbipszAKCi2OTEREREREoonprI1ZxpKfiQ3TWbuCI5KToaKtiIhIFeFvfxqFVw3CdLsAsO/cS9xbMzAO5lgcmYiIiIiIRAtP2iUntNLWU3dQBUckJ0NFWxERkSok0KwRBdddRjAhDgDb/mziJs3AtjvT4shERERERCQaeOoNJeiohcnxL15sAraiXVC9L3lVJaloKyIiUsUE69WhYOTlBGrXAsCWX0DclA+xb95ubWAiIiIiImI9ewy5GS8DRCzcHi7RGkDChgdIXPk7CORXTnxSJiraioiIVEFmciIFI4YSaFQfAMPrI3baRzhWr7M4MhERERERsZo37SJyOr+N6UgGCPW4DX111KKo3tDQ9jF7PiDlh/OwFWyq/GAlLIfVAYiIiMhJiouh4JrBxHz4Gc71WzCCQWJnfU5RXgG+bh1w/LIJx/rN2Is82GLc+Fu3wN+uFTj0619EREREpLrz1r2YrNR1uPfOxL13Dnb/AQKOFDx1B+GpOwTsMXj2XkniqluxBXJx5K0m5ftzye04EW+dC6wOv8YzTLN6N63IzMyt1OO5XHa83kClHrOqUG7CU14iU27CU14iq7G5CQZxf/oVrqU/h4ZMux0jEMA0wDA58jXGTeGg/gRaN7cu3ihSY98zx2FFXtLSEiv1eNVVZc99Qd9HkSgvkSk34SkvkSk34SkvkSk34UXKiz1/HUnLr8WRX3zWnolBQat/UNDir2DUjJP0K/s9U5a5b83IvIiISHVms+G58Bw8fc4MDRmB4gmHceij2cNfKfIQ+/487Os3V3KQIiIiIiISjQLxbTh41gI8dQcDYGASv/ExkpZfi+HLtji6mktFWxERkerAMPD26ILpcHCsU2gOX4Ygds4X4PdXRmQiIiIiIhLlTEcSOZ3eIu+0B0IXL3NnzqXWD/2w5/1icXQ1k4q2IiIi1YRjzUYMvz/C9WGPMACjyIPjF11kQEREREREDjFsFLYYQ3bXDwg6agHgKNhAyg/9cO2ZaWloNZGKtiIiItWEY/1mzONVbA8xDXCsU9FWRERERERK8tU5jwPdF+JP6AiAEcgnecVI4tc/AKZ6BVcWFW1FRESqCaPQc6R37fG2NcG+dSfOZT9j5BVUbGAiIiIiIlKlBONacOCszyiqPzw0FrflPyT/dDmGN8vCyGoOh9UBiIiISPkwY92YBmUu3NqKPMTMWwgsJNCwLv7WLfC3bk6wTgoYZVyyKyIiIiIi1ZM9jtyMCfiTTyd+3T8wzACu/V+Q8n1fcjpPxp/UxeoIq7WoKtqOHz+e559/vsRYixYt+PjjjwEYMWIEP/zwQ4nHr7rqKh5++OFKi1FERCRa+Vu3wLl280k9175zL/ade3Ev/J5grST8rZvjb9OCQOP6YNOJOSIiIiIiNZJhUNj0NvyJnUhaMRKbNxN70a/UWnwBue2ewdPwWqsjrLaiqmgL0Lp1a15//fXQfbvdXuLx4cOHc8cdd4Tux8bGVlpsIiIi0czfrhXm/G+gyHPMi5GZADEuCq68GMemX3Gs34I9c3/ocdvBHFyLV+BavAIzxo2/VTP8bZrjb9EE3K6KfhkiIiIiIhJlfClnc6D7lyStGIEz+0eMYBFJq2+lMOcn8tqMBZvT6hCrnagr2trtdtLS0iI+HhMTc8zHRUREaiyHg8JB/Yl9fx4mhC3cHu6cUDhoAMEmDfA2aYC3b3eMgzk41m8pLuD+uhPDLN7SKPLgXL0O5+p1mHYbgWaNilfhtm6OmZhQWa9MREREREQsFoxpxMEz5pHwyz3E7ihecBm77RUcuSvJ7jQJ013P4girl6gr2m7dupXevXvjdrvp0qULY8aMoWHDhqHHZ8+ezaxZs0hLS6Nfv3788Y9/1GpbERGRQwKtm1N45UBi53wBRZ5Qj9tQr9sYN4WD+hNo3bzE88xaSfjO7ITvzE5Q6MGxaSuO9VtxbPoVw+MFwAgEcWzahmPTNvjkKwL100IF3GDdVPXBFRERERGp7mxu8to/iz+pGwm/jMEwvTgPLiLluz7kdH4Lf63uVkdYbRimaZbxciUVb+HChRQUFNCiRQsyMzN54YUX2LNnD7NnzyYhIYF3332Xhg0bUrduXdauXctTTz1Fp06dSvXBPdrBgwWV+jekw2HH7w9U3gGrEOUmPOUlMuUmPOUlMuXmKH4/tp83YvtlI7ZCD8FYN8G2rQi2bwWOE/jMNhDA2LID+9rN2NZuxsjJC7uZmZxIIL0FwfQWmM0awm/aG0UrvWfCsyIvyclxlXq86iozM7fSj+ly2fF69X30W8pLZMpNeMpLZMpNeMpLZMpNeOWdF0f2jyQtH4HdswMA03CSl/4kRY1/V+UWdFT2eyYtLfG420RV0fa3cnJy6NevH3//+98ZNmxYqccXLVrEjTfeyGeffUbTpk3D7qOyJ676wRCZchOe8hKZchOe8hKZchNeueXFNLHt2VfcRmHDFuy794XfzO3C37Jp8SrcVk0hxn3qx64ges+EZ0VeyjJxleNT0TZ6KC+RKTfhKS+RKTfhKS+RKTfhVUReDG8mSStuwHXg69BYYcPryWs7Duwx5XqsihSNRduoa49wtKSkJJo3b86vv/4a9vHOnTsDxS0VIhVtRUREpJwYBsH6aXjrp+HtcyZGTt6RPrhbd2AEg8Wbebw412zAuWYDps1GoGkD/K1bFPfBTVZhTkRERESkujBdaWR3m0X8+v8j7tcXAIjdORlH3mpyOk0mGNvE4girrqgu2ubn57Nt27aIFx5bs2YNgC5MJiIiYgEzKQHf6Rn4Ts8AjxfHpl+Li7gbt2IUHeqDGwzi2LIDx5Yd8NnXBOqmHumDWz+typ02JSIiIiIiv2FzkJ8+Fn9SNxJ//hNGsBBnzlJSvj+HnE5v4Kvd1+oIq6SoKto+8cQT9OvXj4YNG7J3717Gjx+PzWZj0KBB/Prrr8yePZu+fftSq1Yt1q5dy9ixYznzzDNp27at1aGLiIjUbG4X/nan4W93GgQC2LfvPrQKdzO2g0dO17bvzcK+Nwv3N0sIJsbjP60Z/tYtCDRrBI6q0QdXRERERERK8zQYhj+hHcnLr8VeuAWbL4vkJZeR3/oRCpv9SQs2TlBUFW13797NXXfdxcGDB6lduzann34606ZNo3bt2ng8HhYtWsSkSZMoKCigQYMGXHDBBfzxj3+0OmwRERE5mt1OoFkjAs0a4RnQC9u+/TjWHWqjsGtvaDNbbj6upT/jWvozpsuJv0WTQ31wm0Fc1el/JSIiIiIixQKJGRzovpDElb/HnfUZBkES1v8TR84Scju8APZ4q0OsMqL6QmTlQRciix7KTXjKS2TKTXjKS2TKTXjRlBcjNx/Hhq3FBdwt2zECpeMyDYNAkwahNgpmSnKFxRNNuYkmuhBZ1aULkUUP5SUy5SY85SUy5SY85SUy5Sa8Ss2LGSBu47+I3/zv0JA/oT3ZnacQjGtVOTGcgGi8EJmKtuVMPxgiU27CU14iU27CU14iU27Ci9q8eH04Nm8rLuBu2IqtsCjsZoE6KUf64DasV66nVUVtbiymom3VpaJt9FBeIlNuwlNeIlNuwlNeIlNuwrMiL669H5G46hZsgeI5StCRTG7GBLxpAys1juOJxqJtVLVHEBERkRrE5cSf3hJ/eksIBrHv2INj/WYc67ZgO5Ad2sy+7wD2fQdwL1pKMD4W/2nFBdxA88bg1FRGRERERCRaeetewsHu/yNp+bU48tdi82eTtOwqClreS0HLe8CwWR1i1NJK23KmT3MiU27CU14iU27CU14iU27Cq4p5sWUdKL6Q2bot2HbsJtzaWtPhwN+iMf42LQi0aooZH1e2nfv9ONZsxLF+M/YiD4EYN/7WLfC3awUOFYFBK22rMq20jR7KS2TKTXjKS2TKTXjKS2TKTXhW5sXw55K4+o+4934YGvPUuYjcjFcwnRXXDq2sonGlrYq25Uw/GCJTbsJTXiJTbsJTXiJTbsKr6nkx8guwb/wVx7rNODZvx/D7S21jAoHG9QkcbqOQmhJ2X/b1m4md8wVGkQfTAMPkyNcYN4WD+hNo3bxiX1AVoKJt1aWibfRQXiJTbsJTXiJTbsJTXiJTbsKzPC+mSeyW/xC/4WEMggD441qR03kqgYR21sWFiraWUNE2eig34SkvkSk34SkvkSk34VWrvPj82LdsL16Fu2ELtvzCsJsFaycf6oPbgkCjemCzFRds3/8YIPzK3UNfC68cSKB1i4qJv4pQ0bbqUtE2eigvkSk34SkvkSk34SkvkSk34UVLXpxZn5O08nfYfAcAMO3x5HT4L956Qy2LSUVbC6hoGz2Um/CUl8iUm/CUl8iUm/CqbV5ME9vOPcUF3PVbsO87EHazYGwMgZZNcKzbDD5/2IJtaJcAMW7y/jyyRrdKUNG26lLRNnooL5EpN+EpL5EpN+EpL5EpN+FFU15shVtIWn49ztwVobGC5qPJb3U/2Cp/Hh6NRVt1+xUREZGqyTAINqqP99weFNx8NXl/uJaiAb3wN22IaRwpzdoKi3CuXo9xnIItFK/ANYo8OH7ZVKGhi4iIiIjUZMHY5hw881OKGlwVGovb8gzJS6/A8GZZGFn0UNFWREREqgWzdjK+szpTeN1l5N1xI4WD+uNr2xLT5Tyx/RjgWKeirYiIiIhIhbLHkdvhFXLTn8Q0ilfXuvZ/Qcr3fXHkLLM2tiigoq2IiIhUP3Ex+DumUzT0QvL+ciOBtNplfqphglHoqcDgREREREQEAMOgqOmtZJ8+h6CrLgD2ol+ptfgC3DunWByctVS0FRERkerN4SBYOxnzeL0RjmLftRfX/77DtmsvVO/2/yIiIiIilvOl9OJA9y/xJZ8JgBEsImn1bST8MgaCXoujs4aKtiIiIlLt+Vu3wDiB2qvh8+NetJT4Nz4g/r+Tcc//Bvu2nRAMVlyQIiIiIiI1WDCmIQfPmEth45tCY7HbJlBrySBsnt0WRmYNFW1FRESk2vO3a4UZ4+Z4dVsTMA2jxHa2nDxci1cQN/lD4p+fhPvjhdg3b4NAdFx5V0RERESk2rC5yWv3H3Lbv4BpcwPgPPgdtb47B8fB7y0OrnI5rA5AREREpMI5HBQO6k/s+/MwgXCdEg4XaguvGEiwYV0c67fgWLsJ+5YdGIdW2NryC3Et/RnX0p8xY9z4WzfHl96CQIsm4NC0SkRERESkPBQ1GoE/oT1JK0ZgL9qO3bubWj9eTF764xQ1/j0YJ9D7rIoyTLN6N2rLzMyt1OO5XHa8Xq28CUe5CU95iUy5CU95iUy5CU95OcK+fjOxc77AKPJgGsUXHQt9jXFTOKg/gdbNSz6pyINjw1Ycazfh2PQrhr90Lk2XE3+rpvjTW+Jv2RTcrsp5QRXEivdMWlpipR6vuqrsuS/oZ0wkyktkyk14yktkyk14yktkyk14VTEvhjeTpBWjcB34MjRW1PA6ctuOA3tsuR2nsnNTlrmvirblrCp+A1QW5SY85SUy5SY85SUy5SY85eU3/H4cv2zCsW4T9iIvgRgX/jYt8bdtefzVsl4fjk2/FhdwN2zF8PpKbWLa7fhbNsHfpgX+1i0g1l1BL6TiqGhbdaloGz2Ul8iUm/CUl8iUm/CUl8iUm/CqbF6CfuI3PEDc1vGhIV9iV3I6v0Uwtmm5HEJFWwuoaBs9lJvwlJfIlJvwlJfIlJvwlJfITik3/gD2LduLC7jrt2ArLCq1iWmzEWjaEH/blvhbt8BMiDvFiCuHirZVl4q20UN5iUy5CU95iUy5CU95iUy5Ca+q58W9+30SV/8JI1gAQNCZSk7H1/GlnnvK+47Goq2ar4mIiIicDIedwGnNCJzWDE8wiP3XncUF3HWbseUVTySNYBDHlu04tmzH/PhLAo3rF7dQSG+JmawipYiIiIhIWXnqX4k/vh3Jy6/FXrgZmy+L5J+GkN/6IQqb3VHt+txqpW05q+qfWlQk5SY85SUy5SY85SUy5SY85SWyCsmNaWLbsQfn2k041m7Clh1+LhKon4Y/vSW+9JaYqbXKN4ZTpJW2VZdW2kYP5SUy5SY85SUy5SY85SUy5Sa86pIXw3eAxFU34973aWisqN7l5LZ/HhwJJ7VPrbQVERERqe4Mg2Dj+nga18fTvye2PfuKV+Cu3YQ962BoM/vuTOy7M3Ev/J5AnZTQCtxg3dRqt0pARERERKS8mM4UcrpMI27TWOI3PQFAzJ7pOPLWkNN5CoH40yyOsHxopW05qy6fWlQE5SY85SUy5SY85SUy5SY85SWyys6Nbd+BIwXcPfvCbhOslRRagRtsWNeSAq5W2lZdWmkbPZSXyJSb8JSXyJSb8JSXyJSb8KpjXlyZ80hcdTM2fw4AQUcyuRmv4E276MT2E4UrbW2VEIeIiIiIAME6KXjPPp2C3w0j77brKOrfk0Cj+iW2sR3MwfX9MuInTSf+hbdwf/o19q07IBi0KGo5bMqUKfTv35+OHTsybNgwVqxYcczt582bx8CBA+nYsSODBw9m4cKFocd8Ph///ve/GTx4MF26dKF3797cc8897Nmzp8Q++vfvT3p6eol/r7zySoW8PhEREZGqxpt2EQfP+gJ/fFsAbP5skpddRdzGf4FZtefPWmlbzqrjpxblRbkJT3mJTLkJT3mJTLkJT3mJLFpyY+Tm41i3uXgF7q87McJMz4JxMfhbt8Cf3pJA80Zgt1dYPFppW9rcuXO55557eOihh+jcuTNvvvkmH3/8MR9//DGpqamltv/pp5+4/vrrueuuu+jXrx+zZ89m4sSJTJ8+nTZt2pCbm8sdd9zBsGHDaNu2LTk5OTz22GMEAgGmT58e2k///v254oorGD58eGgsPj6euLi4sHFqpW30UF4iU27CU14iU27CU14iU27Cq855Mfy5JK6+HffemaExT52B5Ga8gumsddznR+NKWxVty1l1/gY4VcpNeMpLZMpNeMpLZMpNeMpLZNGYG6OgEPv6LTjXbsa+ZRtGoPQKAdPtwn9ac/zpLfC3bAJOZ7nGoKJtacOGDaNjx47cf//9AASDQfr27cuIESO45ZZbSm0/evRoCgsLefnll0Njw4cPp23btjz88MNhj7FixQqGDRvGF198QcOGDYHiou3IkSO58cYbyxSnirbRQ3mJTLkJT3mJTLkJT3mJTLkJr9rnxTSJ3fos8esfxKB4Du2PbUlOl6kEEtof86nRWLRVewQRERGRKGLGxeLv3I7C4ReTd8eNFF56Hr70lpjOI9ePNTxenKvXETv9ExKefYOY6Z/gWL0ePF4LI6++vF4vq1evplevXqExm81Gr169WLp0adjnLFu2jJ49e5YY6927N8uWLYt4nLy8PAzDICkpqcT4hAkT6N69O0OGDGHixIn4/f6TfzEiIiIi1ZVhUNh8NNndZhB01gbAUbiJlB8G4N49/ThPjj6O428iIiIiIpaIcePv0Bp/h9bg8+HYtA3H2s04NmzBOFSgNXx+nGs34Vy7CdNuI9C8Cb70Fvhbt4C4GItfQPVw4MABAoFAqTYIqampbNq0Kexz9u3bR506dUptv29f+AvQeTwennrqKS655BISEhJC4yNGjKB9+/YkJyezdOlSxo0bR2ZmJvfee+8pvioRERGR6smX2o8D3ReStPx6nLnLMQL5JK28kYKcn8g/7UGwVY1yaNWIUkRERKSmczrxp7fEn94SAgHsW3bgWLsJx7rN2AqLADACQRwbt+LYuBXTWEigacPi57RpgZkYf+z9+/041mzEsX4z9iIPthh3cQ/ddq3AoSljRfL5fPzlL3/BNE0eeuihEo+NGjUqdLtt27Y4nU4eeOABxowZg8vlKrUvp9OOYVR4yCU4HBXXX7kqU14iU27CU14iU27CU14iU27Cq1F5cbWk4OzPiV15B64dUwGI2/ocrrzlFHR9E9OdBoEinLum49wzB5vvAEFnCr56g/A1uBzs1i9+0AxcREREpKqx2wm0akqgVVM8A8/Bvm1X8QrcdZuw5eYDYJgmjq07cGzdAZ9+RaBR/eIVuOktMWuVPP3evn4zsXO+wCjyYBpgmGAY4Fy7GXP+NxQO6k+gdXMLXmh0SElJwW63k5WVVWI8Kyur1Graw+rUqVNqVW247X0+H6NHj2bnzp28+eabJVbZhtO5c2f8fj/bt2+nZcuWpR73+azpU1et++OdAuUlMuUmPOUlMuUmPOUlMuUmvJqVFxfedi8Sk9iNhLV/xzD9OLIWEv91Hwqb3kbcpiex+Q9iYsMgiA0bzt0fElz9V3IzXsabdpGl0aunrYiIiEhVZrMRaNYIzwW9yb99BPkjL8fbvQvB3xZmd+wmZsEiEl6cQtxr7+H6Zgm2fQeKC7bvfwxFHqC4YHv0V4o8xL4/D/v6zZX4oqKLy+WiQ4cOLFq0KDQWDAZZtGgRXbt2DfucLl268N1335UY+/bbb+nSpUvo/uGC7datW3njjTdISUk5bixr1qzBZrOVatUgIiIiImEYBkVNbuHgGXMJuOoBYC/aRvy6f2D4DxZvcuiiZaGv/mySll2Na+9cS0I+TCttRURERKoLwyDYqB6eRvXw9OuBbW9WcQuFtZuw7zsQ2sy+Zx/2Pftwf/kD5qFz6SOdUW8AJhA75wvy/tykxrZKGDVqFH/729/IyMigU6dOvPnmmxQWFnL55ZcDcM8991CvXj3GjBkDwMiRIxkxYgSvvfYaffv2Ze7cuaxatYqHH34YKC7Y3nHHHfz888+8/PLLBAIBMjMzAUhOTsblcrF06VKWL19Ojx49iI+PZ+nSpYwdO5ZLL72U5ORkaxIhIiIiUgX5a/XgYPcvi/vc5iyOOPcFMDAxMUhcfStZqessa5VQM2fdIiIiItWdYRCsVwdvvTp4zzkLI+sAzrWbiwu4uzOPbGaax9jJoW0Aijw4ftmEP6NNxcUcxS6++GL279/Pc889R2ZmJu3atWPixImhdge7du3CZjtyElu3bt146qmneOaZZxg3bhzNmzfnhRdeoE2b4vzt2bOHBQsWAHDZZZeVONakSZPo3r07LpeLuXPn8vzzz+P1emncuDE33nhjiT63IiIiIlI2wZgGFDYehfPnxcfd1sDE8B/EvXcmngZXV0J0YWIwzTLM1KuwzMzcSj2ey2WvYf1Byk65CU95iUy5CU95iUy5CU95iaym5sbIzsWxdhOub5dgFHqOudLgMNMAf5sWFF0+sEJiSktLrJD91jSVPfeFmvt9dDzKS2TKTXjKS2TKTXjKS2TKTXjKCyQtvx7X3jmhVgjHYmLDW3cQOZ0nl3scZZn7qqetiIiISA1jJifiO6szwbTUMhVs4dDFyQo9FRqXiIiIiEhFMnz7y1SwheIet4ZvfwVHFJmKtiIiIiI1lBnrxixj1dY0ircXEREREamqTGdtzDKWQ01smM7aFRxRZCraioiIiNRQ/tYtMMrYKMswwd+mZcUGJCIiIiJSgTxpl5zQSltP3UEVHFFkKtqKiIiI1FD+dq0wY9wcr25rAmaMG39bFW1FREREpOry1BtK0FEL8zhNwkwMgo5aeOoOqZzAwlDRVkRERKSmcjgoHNQfIGLh9vB44aD+4HBUSlgiIiIiIhXCHkNuxssAEQu3h8dzM14Ge0ylhfZbKtqKiIiI1GCB1s0pvHIgxBT3qz3c4zbU6zbGTeGVFxFo3dyS+EREREREypM37SJyOr+N6UgGCPW4DX11JJPT5R28aRdZFiOAlkuIiIiI1HCB1i3I+3MTHL9swrFuE/YiL4EYF/42LYtbImiFrYiIiIhUI966F5OVug733pm4987B7j9AwJGCp+6g4pYIFq6wPUwzcBEREREBhwN/Rhv8GW1wuex4vQGrIxIRERERqTj2GDwNrsbT4OqonP+qPYKIiIiIiIiIiIhIFFHRVkRERERERERERCSKqGgrIiIiIiIiIiIiEkVUtBURERERERERERGJIiraioiIiIiIiIiIiEQRFW1FREREREREREREooiKtiIiIiIiIiIiIiJRREVbERERERERERERkSiioq2IiIiIiIiIiIhIFFHRVkRERERERERERCSKqGgrIiIiIiIiIiIiEkUM0zRNq4MQERERERERERERkWJaaSsiIiIiIiIiIiISRVS0FREREREREREREYkiKtqKiIiIiIiIiIiIRBEVbUVERERERERERESiiIq25eDll1/miiuuoGvXrvTs2ZM//vGPbNq0yeqwLDd16lQGDx5Mt27d6NatG1dddRULFy60Oqyo9Morr5Cens5jjz1mdSiWGj9+POnp6SX+DRw40OqwosaePXu4++676d69O506dWLw4MGsXLnS6rAs179//1Lvm/T0dB566CGrQ7NUIBDgmWeeoX///nTq1InzzjuPF154AV1/FPLy8njsscfo168fnTp14uqrr2bFihVWh1XpFi9ezK233krv3r1JT09n/vz5JR43TZNnn32W3r1706lTJ2688Ua2bNliTbASVTT3jUzz37LR3PcIzX8j09w3PM19w9Pc99g0/y1W1ea/DsuOXI388MMPXHfddXTs2JFAIMC4ceO46aab+Oijj4iLi7M6PMvUr1+fu+++m2bNmmGaJjNnzuT2229nxowZtG7d2urwosaKFSt45513SE9PtzqUqNC6dWtef/310H273W5hNNEjOzuba665hu7duzNhwgRSUlLYunUrycnJVodmuffff59AIBC6v379ekaNGlXj/+CZMGECb7/9Nk888QSnnXYaq1at4t577yUxMZGRI0daHZ6l7rvvPtavX8+TTz5J3bp1mTVrFqNGjWLu3LnUq1fP6vAqTUFBAenp6VxxxRX86U9/KvX4hAkTeOutt3j88cdp3Lgxzz77LDfddBNz587F7XZbELFEC819I9P89/g09y1N89/SNPeNTHPf8DT3PTbNf4tVtfmvirbl4NVXXy1x//HHH6dnz56sXr2aM88806KorNe/f/8S9++8807efvttli1bpknrIfn5+fz1r3/l0Ucf5cUXX7Q6nKhgt9tJS0uzOoyoM2HCBOrXr8/YsWNDY02aNLEwouhRu3btEvdfeeUVmjZtyllnnWVRRNFh6dKlDBgwgHPPPReAxo0b89FHH9XIT9SPVlRUxKeffsp///vf0O/oP//5z3zxxRdMnTqVO++80+IIK0/fvn3p27dv2MdM02TSpEncdtttnHfeeQA8+eST9OrVi/nz53PJJZdUZqgSZTT3jUzz32PT3Dc8zX9L09w3Ms19w9PcNzLNf4+oavNftUeoALm5uQD6FPAogUCAjz76iIKCArp27Wp1OFHj4Ycfpm/fvvTq1cvqUKLG1q1b6d27NwMGDGDMmDHs3LnT6pCiwoIFC8jIyOCOO+6gZ8+eDBkyhGnTplkdVtTxer3MmjWLK664AsMwrA7HUl27duW7775j8+bNAPzyyy8sWbKEc845x+LIrOX3+wkEAqU+KXe73fz0008WRRV9tm/fTmZmZonfT4mJiXTu3JmlS5daGJlEI819w9P8tzTNfcPT/Lc0zX3LRnPfIzT3jUzz37KJxvmvVtqWs2AwyL/+9S+6detGmzZtrA7HcmvXruXqq6/G4/EQFxfHCy+8wGmnnWZ1WFHho48+4ueff+b999+3OpSo0alTJ8aOHUuLFi3IzMzkhRde4LrrrmP27NkkJCRYHZ6ltm3bxttvv82oUaO49dZbWblyJY8++ihOp5OhQ4daHV7UmD9/Prm5ucoJcMstt5CXl8dFF12E3W4nEAhw5513cumll1odmqUSEhLo2rUr//3vf2nZsiV16tRhzpw5LFu2jKZNm1odXtTIzMwEIDU1tcR4amoq+/btsyIkiVKa+5am+W94mvuGp/lveJr7lo3mvkdo7huZ5r9lE43zXxVty9lDDz3E+vXrmTp1qtWhRIUWLVowc+ZMcnNz+eSTT/jb3/7G5MmTa/zEddeuXTz22GO89tpr6gt4lKNPU2jbti2dO3emX79+zJs3j2HDhlkYmfVM0yQjI4O77roLgPbt27N+/XreeecdTdKO8sEHH3DOOefUqL5MkcybN4/Zs2fz9NNPc9ppp7FmzRrGjh1L3bp1a/x75sknn+Qf//gH55xzDna7nfbt23PJJZewevVqq0MTqXI09y1N89/SNPeNTPPf8DT3LRvNfY/Q3PfYNP+tmlS0LUcPP/ww//vf/5g8eTL169e3Opyo4HK5aNasGQAZGRmsXLmSSZMm8fDDD1scmbVWr15NVlYWl19+eWgsEAiwePFipkyZwsqVK3UBAiApKYnmzZvz66+/Wh2K5dLS0mjVqlWJsZYtW/LJJ59YFFH02bFjB99++y3jx4+3OpSo8OSTT3LLLbeEei+lp6ezc+dOXn755Ro/cW3atCmTJ0+moKCAvLw86taty+jRo9Ur7yiHeytmZWVRt27d0HhWVhZt27a1KiyJMpr7hqf5b2ma+5ad5r/FNPc9Ps19S9Lc99g0/z2+aJz/qmhbDkzT5JFHHuGzzz7jrbfe0pv+GILBIF6v1+owLNejRw9mz55dYuzee++lZcuW3HzzzZq0HpKfn8+2bdt0YQagW7duof5Mh23ZsoVGjRpZFFH0mT59OqmpqaGLD9R0RUVFpXqb2e12TNO0KKLoExcXR1xcHNnZ2Xz99df89a9/tTqkqNG4cWPS0tJYtGgR7dq1AyAvL4/ly5dzzTXXWBydWE1z3xOj+a/mvidC899imvsen+a+JWnuWzaa/0YWjfNfFW3LwUMPPcScOXP473//S3x8fKgPRmJiIjExMRZHZ52nn36ac845hwYNGpCfn8+cOXP44YcfSl1xuCZKSEgo1fctLi6OWrVq1eh+cE888QT9+vWjYcOG7N27l/Hjx2Oz2Rg0aJDVoVnuhhtu4JprruGll17ioosuYsWKFUybNq1Gr9o5WjAYZPr06QwZMgSHQ7/aAPr168dLL71Ew4YNQ6eIvf7661xxxRVWh2a5r776CtM0adGiBb/++itPPvkkLVu2LLECrCbIz88vsZJr+/btrFmzhuTkZBo2bMjIkSN58cUXadasGY0bN+bZZ5+lbt26oavpSs2luW9kmv+Gp7lvZJr/hqe577Fp7lua5r7Hpvlvsao2/zVMfexwytLT08OOjx07tsZ9AxztH//4B9999x179+4lMTGR9PR0br75Zs4++2yrQ4tKI0aMoG3btvzzn/+0OhTL3HnnnSxevJiDBw9Su3ZtTj/9dO688041Rz/kiy++YNy4cWzZsoXGjRszatQohg8fbnVYUeHrr7/mpptu4uOPP6ZFixZWhxMV8vLyePbZZ5k/f37oFJ9LLrmE22+/HZfLZXV4lpo7dy7jxo1j9+7d1KpViwsuuIA777yTxMREq0OrVN9//z0jR44sNT506FAef/xxTNPkueeeY9q0aeTk5HD66afzwAMP6HtMNPc9Bs1/y05z32Ka/0amuW9kmvuWprnvsWn+W6yqzX9VtBURERERERERERGJIjarAxARERERERERERGRI1S0FREREREREREREYkiKtqKiIiIiIiIiIiIRBEVbUVERERERERERESiiIq2IiIiIiIiIiIiIlFERVsRERERERERERGRKKKirYiIiIiIiIiIiEgUUdFWREREREREREREJIqoaCsi1db3339Peno6H3/8sdWhlMm+ffu444476N69O+np6bzxxhvlst/x48eTnp5eLvuqanbt2kXHjh1ZsmRJaGzEiBEMGjTomM/z+Xz07duXKVOmVHSIIiIiIuVCc99imvtq7itSXahoKyKnZPr06aSnp9OxY0f27NlT6vGyTBKk2NixY/nqq6+45ZZbePLJJ+nTp88xt/d4PLzxxhsMGzaM008/nY4dO3LhhRfy8MMPs3nz5kqKGmbPnl1uk+zy9sILL9C5c2dOP/30E3qe0+lk1KhRvPTSS3g8ngqKTkRERKoazX3Lj+a+5U9zX5HqRUVbESkXXq+XV155xeowqrTvvvuOAQMGcNNNN3HZZZfRqlWriNvu37+fa665hrFjx5Kamsodd9zB/fffz4ABA1iwYAGDBw+utLjnzJnDpEmTKu14ZbV//35mzpzJ1VdffVLPv/zyyzlw4ACzZ88u58hERESkqtPc99Rp7lu+NPcVqX4cVgcgItVDu3btmDZtGrfccgv16tWzOpxKVVBQQFxc3CnvJysri6SkpDJte++997JmzRqee+45LrzwwhKPjR49mv/85z+nHI+VgsEgPp8Pt9t90vuYNWsWdrudfv36ndTzk5KS6N27NzNmzODKK6886ThERESk+tHcV3Pf8qS5r4iEo5W2IlIu/vCHPxAMBpkwYcIxt9u+fTvp6elMnz691GPp6emMHz8+dP9wP6rNmzdz9913c/rpp9OjRw+eeeYZTNNk165d3HbbbXTr1o2zzz6b1157Lewxg8Eg48aN4+yzz6ZLly7ceuut7Nq1q9R2y5cv56abbuL000+nc+fOXH/99SX6QR0d04YNGxgzZgxnnnkm11577TFf87Zt27jjjjs466yz6Ny5M8OHD+d///tf6PHDp9mZpsmUKVNIT08/Zh+u5cuX87///Y8rr7yy1KQVwOVy8be//S3i80/k/yAvL4/HHnuM/v37k5GRQc+ePRk1ahSrV68Gik8B/N///seOHTtCcffv3z/0fK/Xy3PPPcf5559PRkYGffv25cknn8Tr9ZY67sMPP8ysWbO45JJL6NixI1999RUAH330EZdffjldu3alW7duDB48mDfffDPi6zts/vz5dOrUifj4+ONu+/XXX9O5c2fuuusu/H5/aLxXr14sWbKEgwcPHncfIiIiUnNo7huZ5r6a+4pI+dBKWxEpF40bN+ayyy5j2rRp3HzzzeW64uDOO++kVatWjBkzhoULF/Liiy9Sq1Yt3nnnHXr06MHdd9/N7NmzeeKJJ+jYsSNnnnlmiee/+OKLGIbBzTffTFZWFm+++SY33ngjH374ITExMQAsWrSIm2++mYyMDP70pz9hGAbTp0/nhhtuYOrUqXTq1KnEPv/yl7/QrFkz7rzzTkzTjBj7vn37uPrqqyksLGTEiBGkpKQwY8YMbrvtttCE7swzz+TJJ5/knnvu4eyzz+ayyy47Zj4WLFgAcNztysMDDzzAJ598wvXXX0+rVq04ePAgS5YsYePGjXTo0IFbb72V3Nxcdu/ezb333gsQmigGg0Fuu+02lixZwvDhw2nVqhXr1q3jzTffZMuWLfz3v/8tcazvvvuOefPmcd1115GSkkKjRo345ptvuOuuu+jZsyd33303AJs2beKnn37ihhtuiBi3z+dj5cqVXHPNNcd9jV988QV33HEHF198Mf/617+w2+2hxzp06IBpmixduvSkVy2IiIhI9aO5b3ia+2ruKyLlR0VbESk3t912Gx9++CETJkzgvvvuK7f9durUiYcffhiAq666iv79+/P4449z1113ccsttwAwaNAg+vTpwwcffFBq4pqdnc3cuXNJSEgAoH379owePZpp06YxcuRITNPkwQcfpHv37kycOBHDMAC4+uqrueSSS3jmmWdKrWRo27YtTz/99HFjf+WVV9i3bx9TpkzhjDPOAGDYsGFceumljB07lgEDBtCkSROaNGnCPffcQ/PmzY87Id24cSMAbdq0Oe7xT9XChQsZPnw4f//730NjN998c+j22WefzaRJk8jJySkV9+zZs/n222956623Qq8doHXr1jzwwAP89NNPdOvWLTS+efNmZs+ezWmnnRYae+yxx0hISODVV18tMaE8nl27dlFUVETjxo2Pud2nn37KXXfdxdChQ3nooYew2UqegNKkSRMANmzYoImriIiIlKC5b2ma+2ruKyLlR+0RRKTcNGnShEsvvZRp06axd+/ectvv0T2V7HY7GRkZmKZZYjwpKYkWLVqwbdu2Us8fMmRIaNIKMHDgQNLS0li4cCEAa9asYcuWLQwePJgDBw6wf/9+9u/fT0FBAT179mTx4sUEg8ES+yxrg/+FCxfSqVOnEhO3+Ph4rrrqKnbs2MGGDRvKloSj5OXlhfZT0ZKSkli+fHnYqyMfz8cff0yrVq1o2bJlKKf79++nR48eAHz//fcltj/zzDNLTFoPH7+wsJBvvvnmhI59+JSuY/VJmzNnDnfeeSdXXXUVDz/8cKlJK0BycjIABw4cOKHji4iISPWnuW9pmvtq7isi5UcrbUWkXP3xj39k1qxZvPLKK+W24qBhw4Yl7icmJuJ2u6ldu3ap8XD9l5o1a1bivmEYNGvWjB07dgCwZcsWgGP2wsrNzQ1NYoDjfop92M6dO+ncuXOp8ZYtW4YeP9FVA4cn4fn5+WW+eMPJuvvuu/n73//OueeeS4cOHejbty9DhgwJfQp/LFu3bmXjxo307Nkz7ONZWVkl7ofL6bXXXsu8efNCpx2effbZXHTRRZxzzjllij/S6Xvbt2/nr3/9KwMHDuT//u//jvv8wytQRERERI6muW9Jmvtq7isi5UdFWxEpV0evODh8+tbRIk0AAoFAxH2G+xQ40ulCx+qxFcnh59xzzz20a9cu7Da/vULuqVzZ9VQdnvSuW7euxCqGsjqR/4OLL76YM844g88++4xvvvmGV199lQkTJjB+/Hj69u17zOMEg0HatGkT6vf1W/Xr1y9x/3CPtaOlpqYyc+ZMvv76a7788ku+/PJLpk+fzpAhQ3jiiSciHrtWrVoA5OTkhH08LS0ttOJk5cqVdOzYMex22dnZAKSkpEQ8loiIiNRcmvtWPM19NfcVqalUtBWRcnfbbbcxa9assFfTPfyJ/W8nFDt37qyweLZu3VrivmmabN26NXSV2sOfnCckJNCrV69yPXbDhg3ZvHlzqfFNmzaFHj9R/fr14+WXX2bWrFknNXE90f+DunXrct1113HdddeRlZXF0KFDeemll0IT10gT4aZNm/LLL7/Qs2fPU/q03uVy0b9/f/r3708wGOTBBx/k3Xff5Y9//GOplSSHNWjQgJiYGLZv3x72cbfbzcsvv8wNN9zA73//eyZPnkzr1q1LbXf4+a1atTrp+EVERKR609z3CM19NfcVkfKjnrYiUu6aNm3KpZdeyrvvvktmZmaJxxISEkhJSeHHH38sMT516tQKi2fmzJmhXlhQ3G8qMzMzdJpRRkYGTZs25bXXXiM/P7/U8/fv33/Sx+7bty8rVqxg6dKlobGCggKmTZtGo0aNSvWxKouuXbvSp08f3nvvPebPn1/qca/Xe8xP4sv6fxAIBMjNzS0xlpqaSt26dfF6vaGx2NjYUtsBXHTRRezZs4dp06aVeqyoqIiCgoKIMR72235aNpst9AfH0TH8ltPpJCMjg1WrVkXcJjExkYkTJ5KamsqoUaP49ddfS22zevVqDMOgS5cux41VREREaibNfY/Q3FdzXxEpP1ppKyIV4tZbb+XDDz9k8+bNpT7FHTZsGK+88gr//Oc/ycjI4Mcffwz7iXx5SU5O5tprr+Xyyy8nKyuLN998k2bNmjF8+HCgeDL06KOPcvPNNzNo0CAuv/xy6tWrx549e/j+++9JSEjgpZdeOqlj33LLLXz00UfcfPPNjBgxguTkZGbOnMn27dsZP3582NPfyuLJJ5/kd7/7HX/605/o168fPXv2JDY2lq1btzJ37lz27t17zD5lZfk/yM/Pp2/fvlx44YW0bduWuLg4vv32W1auXFniirodOnRg7ty5jB07lo4dOxIXF0f//v257LLLmDdvHg888ADff/893bp1IxAIsGnTJj7++GMmTpwY8dSsw+677z6ys7Pp0aMH9erVY+fOnUyePJl27doddwXAgAED+M9//kNeXl6Ji3EcrXbt2rz++utcc8013Hjjjbz99tvUq1cv9Pi3335Lt27ddIqYiIiIHJPmvsU099XcV0TKj4q2IlIhmjVrxqWXXsqMGTNKPXb77bezf/9+PvnkE+bNm8c555zDxIkTIzbtP1W33nora9eu5ZVXXiE/P5+ePXvywAMPEBsbG9qme/fuvPvuu/z3v/9l8uTJFBQUkJaWRqdOnbjqqqtO+th16tThnXfe4d///jeTJ0/G4/GQnp7OSy+9xLnnnnvS+61duzbvvPMOU6dOZe7cufznP//B5/PRqFEj+vfvz8iRI4/5/LL8H8TExHDNNdfwzTff8Omnn2KaJk2bNuWBBx7g2muvDW137bXXsmbNGqZPn84bb7wRisFms/HCCy/wxhtv8OGHH/LZZ58RGxtL48aNGTFiBC1atDju6zzcI27q1Knk5OSQlpbGRRddxJ///OfjTvovu+wynn76aT7//HMuu+yyiNvVq1ePN954g2uvvZZRo0YxefJkateuTW5uLl9//TUPPPDAceMUERGRmk1z32Ka+2ruKyLlxzBPpnO5iIhIFfCPf/yDLVu2nNQpiG+88QYTJ05k/vz5YS8UISIiIiISTTT3Fale1NNWRESqrT/96U+sXLmSJUuWnNDzfD4fb7zxBrfddpsmrSIiIiJSJWjuK1K9aKWtiIiIiIiIiIiISBTRSlsRERERERERERGRKKKirYiIiIiIiIiIiEgUUdFWREREREREREREJIqoaCsiIiIiIiIiIiISRVS0FREREREREREREYkiKtqKiIiIiIiIiIiIRBEVbUVERERERERERESiiIq2IiIiIiIiIiIiIlFERVsRERERERERERGRKKKirYiIiIiIiIiIiEgUUdFWREREREREREREJIr8P5l4smKl5oVUAAAAAElFTkSuQmCC", | |
| "text/plain": [ | |
| "<Figure size 1400x500 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "transient": {} | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "The paper selected k=6 based on balancing reproducibility, modularity, and generalizability.\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Test different values of k\n", | |
| "k_values = range(2, 11)\n", | |
| "inertias = []\n", | |
| "silhouette_scores = []\n", | |
| "\n", | |
| "from sklearn.metrics import silhouette_score\n", | |
| "\n", | |
| "for k in k_values:\n", | |
| " kmeans = KMeans(n_clusters=k, random_state=42, n_init=10)\n", | |
| " cluster_labels = kmeans.fit_predict(pmi_cooccurrence)\n", | |
| " inertias.append(kmeans.inertia_)\n", | |
| " \n", | |
| " # Silhouette score (higher is better)\n", | |
| " if k > 1:\n", | |
| " score = silhouette_score(pmi_cooccurrence, cluster_labels)\n", | |
| " silhouette_scores.append(score)\n", | |
| "\n", | |
| "# Plot elbow curve\n", | |
| "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", | |
| "\n", | |
| "axes[0].plot(k_values, inertias, 'o-', linewidth=2, markersize=8)\n", | |
| "axes[0].set_xlabel('Number of Clusters (k)', fontsize=12)\n", | |
| "axes[0].set_ylabel('Inertia', fontsize=12)\n", | |
| "axes[0].set_title('Elbow Method for Optimal k', fontsize=14)\n", | |
| "axes[0].grid(True, alpha=0.3)\n", | |
| "\n", | |
| "axes[1].plot(k_values, silhouette_scores, 'o-', linewidth=2, markersize=8, color='orange')\n", | |
| "axes[1].set_xlabel('Number of Clusters (k)', fontsize=12)\n", | |
| "axes[1].set_ylabel('Silhouette Score', fontsize=12)\n", | |
| "axes[1].set_title('Silhouette Score vs k', fontsize=14)\n", | |
| "axes[1].grid(True, alpha=0.3)\n", | |
| "\n", | |
| "plt.tight_layout()\n", | |
| "plt.show()\n", | |
| "\n", | |
| "print(\"The paper selected k=6 based on balancing reproducibility, modularity, and generalizability.\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Clustered 30 brain structures into 6 circuits/domains:\n", | |
| " Domain 0: 10 structures\n", | |
| " Domain 1: 6 structures\n", | |
| " Domain 2: 3 structures\n", | |
| " Domain 3: 2 structures\n", | |
| " Domain 4: 2 structures\n", | |
| " Domain 5: 7 structures\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Following the paper, use k=6 for the final clustering\n", | |
| "K_DOMAINS = 6\n", | |
| "\n", | |
| "kmeans = KMeans(n_clusters=K_DOMAINS, random_state=42, n_init=20)\n", | |
| "structure_cluster_labels = kmeans.fit_predict(pmi_cooccurrence)\n", | |
| "\n", | |
| "# Assign structures to domains\n", | |
| "domain_structures = defaultdict(list)\n", | |
| "for structure_idx, domain_idx in enumerate(structure_cluster_labels):\n", | |
| " domain_structures[domain_idx].append(structure_idx)\n", | |
| "\n", | |
| "print(f\"Clustered {N_STRUCTURES} brain structures into {K_DOMAINS} circuits/domains:\")\n", | |
| "for domain_idx in range(K_DOMAINS):\n", | |
| " structures = domain_structures[domain_idx]\n", | |
| " print(f\" Domain {domain_idx}: {len(structures)} structures\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "---\n", | |
| "\n", | |
| "## 6. Mental Function Term Assignment to Circuits\n", | |
| "\n", | |
| "For each circuit/domain, the paper assigns the top mental function terms based on **point-biserial correlations** between:\n", | |
| "- Binary term occurrences across articles\n", | |
| "- The centroid of structure occurrences for that domain\n", | |
| "\n", | |
| "The paper selects the optimal number of terms per domain by maximizing ROC-AUC on the validation set." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Assigned top 25 mental function terms to each of 6 domains:\n", | |
| " Domain 0: 25 terms assigned\n", | |
| " Domain 1: 25 terms assigned\n", | |
| " Domain 2: 25 terms assigned\n", | |
| " Domain 3: 25 terms assigned\n", | |
| " Domain 4: 25 terms assigned\n", | |
| " Domain 5: 25 terms assigned\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "from scipy.stats import pointbiserialr\n", | |
| "\n", | |
| "def assign_terms_to_domains(term_matrix, structure_matrix, domain_structures, n_top_terms=25):\n", | |
| " \"\"\"\n", | |
| " Assign mental function terms to each domain based on point-biserial correlations.\n", | |
| " \n", | |
| " Args:\n", | |
| " term_matrix: Binary matrix (n_articles x n_terms)\n", | |
| " structure_matrix: Binary matrix (n_articles x n_structures)\n", | |
| " domain_structures: Dict mapping domain_idx -> list of structure indices\n", | |
| " n_top_terms: Number of top terms to assign per domain\n", | |
| " \n", | |
| " Returns:\n", | |
| " domain_terms: Dict mapping domain_idx -> list of term indices\n", | |
| " \"\"\"\n", | |
| " n_articles, n_terms = term_matrix.shape\n", | |
| " domain_terms = {}\n", | |
| " \n", | |
| " for domain_idx, structures in domain_structures.items():\n", | |
| " # Compute domain structure occurrence: any structure in domain activated\n", | |
| " domain_structure_occurrence = structure_matrix[:, structures].sum(axis=1) > 0\n", | |
| " domain_structure_occurrence = domain_structure_occurrence.astype(float)\n", | |
| " \n", | |
| " # Compute point-biserial correlation for each term\n", | |
| " correlations = []\n", | |
| " for term_idx in range(n_terms):\n", | |
| " term_occurrence = term_matrix[:, term_idx]\n", | |
| " \n", | |
| " # Only compute if there's variance in both variables\n", | |
| " if term_occurrence.sum() > 0 and domain_structure_occurrence.sum() > 0:\n", | |
| " corr, _ = pointbiserialr(domain_structure_occurrence, term_occurrence)\n", | |
| " if np.isnan(corr):\n", | |
| " corr = 0\n", | |
| " else:\n", | |
| " corr = 0\n", | |
| " \n", | |
| " correlations.append((term_idx, corr))\n", | |
| " \n", | |
| " # Sort by correlation and select top terms\n", | |
| " correlations.sort(key=lambda x: x[1], reverse=True)\n", | |
| " top_terms = [term_idx for term_idx, _ in correlations[:n_top_terms]]\n", | |
| " domain_terms[domain_idx] = top_terms\n", | |
| " \n", | |
| " return domain_terms\n", | |
| "\n", | |
| "# Assign top 25 terms to each domain (following the paper)\n", | |
| "domain_terms = assign_terms_to_domains(\n", | |
| " train_terms, \n", | |
| " train_structures, \n", | |
| " domain_structures, \n", | |
| " n_top_terms=25\n", | |
| ")\n", | |
| "\n", | |
| "print(f\"Assigned top 25 mental function terms to each of {K_DOMAINS} domains:\")\n", | |
| "for domain_idx in range(K_DOMAINS):\n", | |
| " terms = domain_terms[domain_idx]\n", | |
| " print(f\" Domain {domain_idx}: {len(terms)} terms assigned\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "---\n", | |
| "\n", | |
| "## 7. Logistic Regression Classifiers\n", | |
| "\n", | |
| "The paper trains logistic regression classifiers for two types of inference:\n", | |
| "\n", | |
| "1. **Forward Inference**: Predict brain structure occurrences from mental function terms\n", | |
| " - Input: Term occurrence vector\n", | |
| " - Output: Probability of structures in a domain being activated\n", | |
| "\n", | |
| "2. **Reverse Inference**: Predict mental function terms from brain structure occurrences\n", | |
| " - Input: Structure occurrence vector\n", | |
| " - Output: Probability of terms in a domain being mentioned\n", | |
| "\n", | |
| "Both classifiers are evaluated using **ROC-AUC** on held-out test data." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Prepared domain-specific data for classification\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "def prepare_domain_data(term_matrix, structure_matrix, domain_terms, domain_structures):\n", | |
| " \"\"\"\n", | |
| " Prepare data for domain-level classification.\n", | |
| " \n", | |
| " For each domain, create:\n", | |
| " - X_terms: Binary occurrence of domain terms per article\n", | |
| " - X_structures: Binary occurrence of domain structures per article\n", | |
| " - y_structures: Binary label (any domain structure activated)\n", | |
| " - y_terms: Binary label (any domain term mentioned)\n", | |
| " \"\"\"\n", | |
| " n_articles = term_matrix.shape[0]\n", | |
| " n_domains = len(domain_terms)\n", | |
| " \n", | |
| " data = {}\n", | |
| " \n", | |
| " for domain_idx in range(n_domains):\n", | |
| " terms = domain_terms[domain_idx]\n", | |
| " structures = domain_structures[domain_idx]\n", | |
| " \n", | |
| " # Extract domain-specific term occurrences\n", | |
| " X_terms = term_matrix[:, terms]\n", | |
| " \n", | |
| " # Extract domain-specific structure occurrences\n", | |
| " X_structures = structure_matrix[:, structures]\n", | |
| " \n", | |
| " # Create binary labels: any term/structure in domain\n", | |
| " y_terms = (term_matrix[:, terms].sum(axis=1) > 0).astype(int)\n", | |
| " y_structures = (structure_matrix[:, structures].sum(axis=1) > 0).astype(int)\n", | |
| " \n", | |
| " data[domain_idx] = {\n", | |
| " 'X_terms': X_terms,\n", | |
| " 'X_structures': X_structures,\n", | |
| " 'y_terms': y_terms,\n", | |
| " 'y_structures': y_structures\n", | |
| " }\n", | |
| " \n", | |
| " return data\n", | |
| "\n", | |
| "# Prepare data for all splits\n", | |
| "train_data = prepare_domain_data(train_terms, train_structures, domain_terms, domain_structures)\n", | |
| "val_data = prepare_domain_data(val_terms, val_structures, domain_terms, domain_structures)\n", | |
| "test_data = prepare_domain_data(test_terms, test_structures, domain_terms, domain_structures)\n", | |
| "\n", | |
| "print(\"Prepared domain-specific data for classification\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### 7.1 Forward Inference: Terms → Structures" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Domain 0 - Forward Inference: Train AUC=0.978, Val AUC=0.522\n", | |
| "Domain 1 - Forward Inference: Train AUC=0.856, Val AUC=0.652\n", | |
| "Domain 2 - Forward Inference: Train AUC=0.785, Val AUC=0.531\n", | |
| "Domain 3 - Forward Inference: Train AUC=0.746, Val AUC=0.479\n", | |
| "Domain 4 - Forward Inference: Train AUC=0.768, Val AUC=0.631\n", | |
| "Domain 5 - Forward Inference: Train AUC=0.926, Val AUC=0.434\n", | |
| "\n", | |
| "Mean Forward Inference AUC: Train=0.843, Val=0.542\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Train forward inference classifiers (terms -> structures)\n", | |
| "forward_classifiers = {}\n", | |
| "forward_train_aucs = []\n", | |
| "forward_val_aucs = []\n", | |
| "\n", | |
| "for domain_idx in range(K_DOMAINS):\n", | |
| " # Get training data\n", | |
| " X_train = train_data[domain_idx]['X_terms']\n", | |
| " y_train = train_data[domain_idx]['y_structures']\n", | |
| " \n", | |
| " X_val = val_data[domain_idx]['X_terms']\n", | |
| " y_val = val_data[domain_idx]['y_structures']\n", | |
| " \n", | |
| " # Train logistic regression\n", | |
| " clf = LogisticRegression(max_iter=1000, random_state=42)\n", | |
| " clf.fit(X_train, y_train)\n", | |
| " \n", | |
| " # Evaluate on validation set\n", | |
| " y_train_pred = clf.predict_proba(X_train)[:, 1]\n", | |
| " y_val_pred = clf.predict_proba(X_val)[:, 1]\n", | |
| " \n", | |
| " train_auc = roc_auc_score(y_train, y_train_pred)\n", | |
| " val_auc = roc_auc_score(y_val, y_val_pred)\n", | |
| " \n", | |
| " forward_classifiers[domain_idx] = clf\n", | |
| " forward_train_aucs.append(train_auc)\n", | |
| " forward_val_aucs.append(val_auc)\n", | |
| " \n", | |
| " print(f\"Domain {domain_idx} - Forward Inference: Train AUC={train_auc:.3f}, Val AUC={val_auc:.3f}\")\n", | |
| "\n", | |
| "print(f\"\\nMean Forward Inference AUC: Train={np.mean(forward_train_aucs):.3f}, Val={np.mean(forward_val_aucs):.3f}\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### 7.2 Reverse Inference: Structures → Terms" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Domain 0 - Reverse Inference: Train AUC=0.807, Val AUC=0.441\n", | |
| "Domain 1 - Reverse Inference: Train AUC=0.729, Val AUC=0.807\n", | |
| "Domain 2 - Reverse Inference: Train AUC=0.733, Val AUC=0.441\n", | |
| "Domain 3 - Reverse Inference: Train AUC=0.692, Val AUC=0.587\n", | |
| "Domain 4 - Reverse Inference: Train AUC=0.667, Val AUC=0.559\n", | |
| "Domain 5 - Reverse Inference: Train AUC=0.753, Val AUC=0.305\n", | |
| "\n", | |
| "Mean Reverse Inference AUC: Train=0.730, Val=0.523\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Train reverse inference classifiers (structures -> terms)\n", | |
| "reverse_classifiers = {}\n", | |
| "reverse_train_aucs = []\n", | |
| "reverse_val_aucs = []\n", | |
| "\n", | |
| "for domain_idx in range(K_DOMAINS):\n", | |
| " # Get training data\n", | |
| " X_train = train_data[domain_idx]['X_structures']\n", | |
| " y_train = train_data[domain_idx]['y_terms']\n", | |
| " \n", | |
| " X_val = val_data[domain_idx]['X_structures']\n", | |
| " y_val = val_data[domain_idx]['y_terms']\n", | |
| " \n", | |
| " # Train logistic regression\n", | |
| " clf = LogisticRegression(max_iter=1000, random_state=42)\n", | |
| " clf.fit(X_train, y_train)\n", | |
| " \n", | |
| " # Evaluate on validation set\n", | |
| " y_train_pred = clf.predict_proba(X_train)[:, 1]\n", | |
| " y_val_pred = clf.predict_proba(X_val)[:, 1]\n", | |
| " \n", | |
| " train_auc = roc_auc_score(y_train, y_train_pred)\n", | |
| " val_auc = roc_auc_score(y_val, y_val_pred)\n", | |
| " \n", | |
| " reverse_classifiers[domain_idx] = clf\n", | |
| " reverse_train_aucs.append(train_auc)\n", | |
| " reverse_val_aucs.append(val_auc)\n", | |
| " \n", | |
| " print(f\"Domain {domain_idx} - Reverse Inference: Train AUC={train_auc:.3f}, Val AUC={val_auc:.3f}\")\n", | |
| "\n", | |
| "print(f\"\\nMean Reverse Inference AUC: Train={np.mean(reverse_train_aucs):.3f}, Val={np.mean(reverse_val_aucs):.3f}\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "---\n", | |
| "\n", | |
| "## 8. Test Set Evaluation: Reproducibility\n", | |
| "\n", | |
| "The paper evaluates **reproducibility** by testing whether the learned circuit-function links generalize to held-out test data.\n", | |
| "\n", | |
| "This is the primary metric for comparing the data-driven framework to expert frameworks (RDoC, DSM)." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Domain 0 Test Set - Forward AUC: nan, Reverse AUC: 0.776, Combined: nan\n", | |
| "Domain 1 Test Set - Forward AUC: 0.578, Reverse AUC: 0.560, Combined: 0.569\n", | |
| "Domain 2 Test Set - Forward AUC: 0.555, Reverse AUC: 0.699, Combined: 0.627\n", | |
| "Domain 3 Test Set - Forward AUC: 0.728, Reverse AUC: 0.722, Combined: 0.725\n", | |
| "Domain 4 Test Set - Forward AUC: 0.484, Reverse AUC: 0.041, Combined: 0.262\n", | |
| "Domain 5 Test Set - Forward AUC: 0.367, Reverse AUC: nan, Combined: nan\n", | |
| "\n", | |
| "======================================================================\n", | |
| "Mean Test Set Reproducibility:\n", | |
| " Forward Inference AUC: 0.542 ± 0.118\n", | |
| " Reverse Inference AUC: 0.559 ± 0.269\n", | |
| " Combined AUC: 0.546 ± 0.173\n", | |
| "\n", | |
| "Note: Some domains may show NaN due to small test set size (50 articles).\n", | |
| "With full dataset (1,816 test articles), all domains would have sufficient samples.\n", | |
| "======================================================================\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Evaluate both forward and reverse inference on test set\n", | |
| "forward_test_aucs = []\n", | |
| "reverse_test_aucs = []\n", | |
| "combined_test_aucs = []\n", | |
| "\n", | |
| "for domain_idx in range(K_DOMAINS):\n", | |
| " # Forward inference on test set\n", | |
| " X_test = test_data[domain_idx]['X_terms']\n", | |
| " y_test = test_data[domain_idx]['y_structures']\n", | |
| " y_pred = forward_classifiers[domain_idx].predict_proba(X_test)[:, 1]\n", | |
| " \n", | |
| " # Handle cases with insufficient positive/negative examples\n", | |
| " try:\n", | |
| " if len(np.unique(y_test)) < 2:\n", | |
| " forward_auc = np.nan\n", | |
| " else:\n", | |
| " forward_auc = roc_auc_score(y_test, y_pred)\n", | |
| " except:\n", | |
| " forward_auc = np.nan\n", | |
| " \n", | |
| " forward_test_aucs.append(forward_auc)\n", | |
| " \n", | |
| " # Reverse inference on test set\n", | |
| " X_test = test_data[domain_idx]['X_structures']\n", | |
| " y_test = test_data[domain_idx]['y_terms']\n", | |
| " y_pred = reverse_classifiers[domain_idx].predict_proba(X_test)[:, 1]\n", | |
| " \n", | |
| " try:\n", | |
| " if len(np.unique(y_test)) < 2:\n", | |
| " reverse_auc = np.nan\n", | |
| " else:\n", | |
| " reverse_auc = roc_auc_score(y_test, y_pred)\n", | |
| " except:\n", | |
| " reverse_auc = np.nan\n", | |
| " \n", | |
| " reverse_test_aucs.append(reverse_auc)\n", | |
| " \n", | |
| " # Combined metric (average of forward and reverse)\n", | |
| " if not np.isnan(forward_auc) and not np.isnan(reverse_auc):\n", | |
| " combined_auc = (forward_auc + reverse_auc) / 2\n", | |
| " else:\n", | |
| " combined_auc = np.nan\n", | |
| " combined_test_aucs.append(combined_auc)\n", | |
| " \n", | |
| " print(f\"Domain {domain_idx} Test Set - Forward AUC: {forward_auc:.3f}, Reverse AUC: {reverse_auc:.3f}, Combined: {combined_auc:.3f}\")\n", | |
| "\n", | |
| "print(f\"\\n{'='*70}\")\n", | |
| "print(f\"Mean Test Set Reproducibility:\")\n", | |
| "print(f\" Forward Inference AUC: {np.nanmean(forward_test_aucs):.3f} ± {np.nanstd(forward_test_aucs):.3f}\")\n", | |
| "print(f\" Reverse Inference AUC: {np.nanmean(reverse_test_aucs):.3f} ± {np.nanstd(reverse_test_aucs):.3f}\")\n", | |
| "print(f\" Combined AUC: {np.nanmean(combined_test_aucs):.3f} ± {np.nanstd(combined_test_aucs):.3f}\")\n", | |
| "print(f\"\\nNote: Some domains may show NaN due to small test set size (50 articles).\")\n", | |
| "print(f\"With full dataset (1,816 test articles), all domains would have sufficient samples.\")\n", | |
| "print(f\"{'='*70}\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Visualize Test Set ROC Curves" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 15, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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| |
| "text/plain": [ | |
| "<Figure size 1600x1000 with 6 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "transient": {} | |
| } | |
| ], | |
| "source": [ | |
| "fig, axes = plt.subplots(2, 3, figsize=(16, 10))\n", | |
| "axes = axes.flatten()\n", | |
| "\n", | |
| "for domain_idx in range(K_DOMAINS):\n", | |
| " ax = axes[domain_idx]\n", | |
| " \n", | |
| " # Forward inference ROC\n", | |
| " X_test = test_data[domain_idx]['X_terms']\n", | |
| " y_test = test_data[domain_idx]['y_structures']\n", | |
| " y_pred = forward_classifiers[domain_idx].predict_proba(X_test)[:, 1]\n", | |
| " fpr, tpr, _ = roc_curve(y_test, y_pred)\n", | |
| " ax.plot(fpr, tpr, label=f'Forward (AUC={forward_test_aucs[domain_idx]:.3f})', linewidth=2)\n", | |
| " \n", | |
| " # Reverse inference ROC\n", | |
| " X_test = test_data[domain_idx]['X_structures']\n", | |
| " y_test = test_data[domain_idx]['y_terms']\n", | |
| " y_pred = reverse_classifiers[domain_idx].predict_proba(X_test)[:, 1]\n", | |
| " fpr, tpr, _ = roc_curve(y_test, y_pred)\n", | |
| " ax.plot(fpr, tpr, label=f'Reverse (AUC={reverse_test_aucs[domain_idx]:.3f})', linewidth=2)\n", | |
| " \n", | |
| " # Chance line\n", | |
| " ax.plot([0, 1], [0, 1], 'k--', alpha=0.3, label='Chance')\n", | |
| " \n", | |
| " ax.set_xlabel('False Positive Rate')\n", | |
| " ax.set_ylabel('True Positive Rate')\n", | |
| " ax.set_title(f'Domain {domain_idx} - ROC Curves')\n", | |
| " ax.legend(loc='lower right')\n", | |
| " ax.grid(True, alpha=0.3)\n", | |
| "\n", | |
| "plt.tight_layout()\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "---\n", | |
| "\n", | |
| "## 9. Modularity Evaluation\n", | |
| "\n", | |
| "The paper assesses **modularity** by checking whether articles within the same domain are more similar to each other than to articles in different domains.\n", | |
| "\n", | |
| "### Method\n", | |
| "\n", | |
| "1. Assign each article to the domain with most similar terms and structures\n", | |
| "2. Compute Dice distance between all pairs of articles\n", | |
| "3. Calculate:\n", | |
| " - **Within-domain distance**: Mean distance among articles in same domain\n", | |
| " - **Between-domain distance**: Mean distance between articles in different domains\n", | |
| "4. **Modularity ratio** = between-domain distance / within-domain distance\n", | |
| "\n", | |
| "Higher ratio indicates better modularity (domains are well-separated)." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Article assignments to domains:\n", | |
| " Domain 0: 13 articles (26.0%)\n", | |
| " Domain 1: 9 articles (18.0%)\n", | |
| " Domain 2: 6 articles (12.0%)\n", | |
| " Domain 3: 9 articles (18.0%)\n", | |
| " Domain 4: 1 articles (2.0%)\n", | |
| " Domain 5: 12 articles (24.0%)\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "def dice_similarity(vec1, vec2):\n", | |
| " \"\"\"Compute Dice similarity between two binary vectors.\"\"\"\n", | |
| " intersection = np.sum(vec1 * vec2)\n", | |
| " return 2 * intersection / (np.sum(vec1) + np.sum(vec2) + 1e-10)\n", | |
| "\n", | |
| "def assign_articles_to_domains(term_matrix, structure_matrix, domain_terms, domain_structures):\n", | |
| " \"\"\"\n", | |
| " Assign each article to the domain with most similar terms and structures.\n", | |
| " \"\"\"\n", | |
| " n_articles = term_matrix.shape[0]\n", | |
| " n_domains = len(domain_terms)\n", | |
| " \n", | |
| " assignments = []\n", | |
| " \n", | |
| " for article_idx in range(n_articles):\n", | |
| " article_terms = term_matrix[article_idx]\n", | |
| " article_structures = structure_matrix[article_idx]\n", | |
| " \n", | |
| " best_domain = 0\n", | |
| " best_similarity = -1\n", | |
| " \n", | |
| " for domain_idx in range(n_domains):\n", | |
| " # Create domain prototype (binary vector of domain terms and structures)\n", | |
| " domain_term_vec = np.zeros(term_matrix.shape[1])\n", | |
| " domain_term_vec[domain_terms[domain_idx]] = 1\n", | |
| " \n", | |
| " domain_structure_vec = np.zeros(structure_matrix.shape[1])\n", | |
| " domain_structure_vec[domain_structures[domain_idx]] = 1\n", | |
| " \n", | |
| " # Combine terms and structures\n", | |
| " article_vec = np.concatenate([article_terms, article_structures])\n", | |
| " domain_vec = np.concatenate([domain_term_vec, domain_structure_vec])\n", | |
| " \n", | |
| " # Compute similarity\n", | |
| " similarity = dice_similarity(article_vec, domain_vec)\n", | |
| " \n", | |
| " if similarity > best_similarity:\n", | |
| " best_similarity = similarity\n", | |
| " best_domain = domain_idx\n", | |
| " \n", | |
| " assignments.append(best_domain)\n", | |
| " \n", | |
| " return np.array(assignments)\n", | |
| "\n", | |
| "# Assign test articles to domains\n", | |
| "test_assignments = assign_articles_to_domains(\n", | |
| " test_terms, test_structures, domain_terms, domain_structures\n", | |
| ")\n", | |
| "\n", | |
| "print(\"Article assignments to domains:\")\n", | |
| "for domain_idx in range(K_DOMAINS):\n", | |
| " count = np.sum(test_assignments == domain_idx)\n", | |
| " print(f\" Domain {domain_idx}: {count} articles ({count/len(test_assignments)*100:.1f}%)\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 14, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\n", | |
| "Modularity Evaluation:\n", | |
| " Mean within-domain Dice distance: 0.801\n", | |
| " Mean between-domain Dice distance: 0.826\n", | |
| " Modularity ratio (between/within): 1.030\n", | |
| "\n", | |
| "Interpretation: Ratio > 1 indicates domains are well-separated.\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "def compute_modularity(term_matrix, structure_matrix, assignments):\n", | |
| " \"\"\"\n", | |
| " Compute modularity ratio: between-domain distance / within-domain distance.\n", | |
| " \"\"\"\n", | |
| " n_articles = term_matrix.shape[0]\n", | |
| " \n", | |
| " # Combine term and structure matrices\n", | |
| " combined_matrix = np.concatenate([term_matrix, structure_matrix], axis=1)\n", | |
| " \n", | |
| " within_distances = []\n", | |
| " between_distances = []\n", | |
| " \n", | |
| " # Compute pairwise distances (sample for efficiency)\n", | |
| " sample_size = min(n_articles, 50) # Sample for computational efficiency\n", | |
| " sample_indices = np.random.choice(n_articles, sample_size, replace=False)\n", | |
| " \n", | |
| " for i in sample_indices:\n", | |
| " for j in range(i + 1, n_articles):\n", | |
| " # Compute Dice distance (1 - Dice similarity)\n", | |
| " similarity = dice_similarity(combined_matrix[i], combined_matrix[j])\n", | |
| " distance = 1 - similarity\n", | |
| " \n", | |
| " if assignments[i] == assignments[j]:\n", | |
| " within_distances.append(distance)\n", | |
| " else:\n", | |
| " between_distances.append(distance)\n", | |
| " \n", | |
| " mean_within = np.mean(within_distances) if within_distances else 0\n", | |
| " mean_between = np.mean(between_distances) if between_distances else 0\n", | |
| " \n", | |
| " modularity_ratio = mean_between / (mean_within + 1e-10)\n", | |
| " \n", | |
| " return modularity_ratio, mean_within, mean_between\n", | |
| "\n", | |
| "# Compute modularity on test set\n", | |
| "modularity_ratio, mean_within, mean_between = compute_modularity(\n", | |
| " test_terms, test_structures, test_assignments\n", | |
| ")\n", | |
| "\n", | |
| "print(f\"\\nModularity Evaluation:\")\n", | |
| "print(f\" Mean within-domain Dice distance: {mean_within:.3f}\")\n", | |
| "print(f\" Mean between-domain Dice distance: {mean_between:.3f}\")\n", | |
| "print(f\" Modularity ratio (between/within): {modularity_ratio:.3f}\")\n", | |
| "print(f\"\\nInterpretation: Ratio > 1 indicates domains are well-separated.\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "---\n", | |
| "\n", | |
| "## 10. Generalizability Evaluation\n", | |
| "\n", | |
| "The paper evaluates **generalizability** by measuring how well domain prototypes generalize to individual articles.\n", | |
| "\n", | |
| "### Method\n", | |
| "\n", | |
| "1. Create a prototype vector for each domain (combining characteristic terms and structures)\n", | |
| "2. For each article assigned to a domain, compute Dice similarity to that domain's prototype\n", | |
| "3. Higher similarity indicates the domain prototype generalizes well to individual articles" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 15, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\n", | |
| "Generalizability Evaluation:\n", | |
| " Domain 0: 0.245\n", | |
| " Domain 1: 0.222\n", | |
| " Domain 2: 0.258\n", | |
| " Domain 3: 0.232\n", | |
| " Domain 4: 0.204\n", | |
| " Domain 5: 0.219\n", | |
| "\n", | |
| "Overall Generalizability (mean Dice similarity to prototype): 0.230\n", | |
| "\n", | |
| "Interpretation: Higher values indicate domain prototypes generalize well to individual articles.\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "def compute_generalizability(term_matrix, structure_matrix, assignments, domain_terms, domain_structures):\n", | |
| " \"\"\"\n", | |
| " Compute generalizability as mean Dice similarity between articles and their assigned domain prototypes.\n", | |
| " \"\"\"\n", | |
| " n_articles = term_matrix.shape[0]\n", | |
| " n_domains = len(domain_terms)\n", | |
| " \n", | |
| " # Create domain prototypes\n", | |
| " domain_prototypes = []\n", | |
| " for domain_idx in range(n_domains):\n", | |
| " prototype_terms = np.zeros(term_matrix.shape[1])\n", | |
| " prototype_terms[domain_terms[domain_idx]] = 1\n", | |
| " \n", | |
| " prototype_structures = np.zeros(structure_matrix.shape[1])\n", | |
| " prototype_structures[domain_structures[domain_idx]] = 1\n", | |
| " \n", | |
| " prototype = np.concatenate([prototype_terms, prototype_structures])\n", | |
| " domain_prototypes.append(prototype)\n", | |
| " \n", | |
| " # Compute similarities\n", | |
| " similarities_by_domain = defaultdict(list)\n", | |
| " \n", | |
| " for article_idx in range(n_articles):\n", | |
| " article_vec = np.concatenate([\n", | |
| " term_matrix[article_idx],\n", | |
| " structure_matrix[article_idx]\n", | |
| " ])\n", | |
| " \n", | |
| " domain_idx = assignments[article_idx]\n", | |
| " prototype = domain_prototypes[domain_idx]\n", | |
| " \n", | |
| " similarity = dice_similarity(article_vec, prototype)\n", | |
| " similarities_by_domain[domain_idx].append(similarity)\n", | |
| " \n", | |
| " # Compute mean similarity per domain\n", | |
| " domain_generalizability = {}\n", | |
| " for domain_idx in range(n_domains):\n", | |
| " if similarities_by_domain[domain_idx]:\n", | |
| " domain_generalizability[domain_idx] = np.mean(similarities_by_domain[domain_idx])\n", | |
| " else:\n", | |
| " domain_generalizability[domain_idx] = 0\n", | |
| " \n", | |
| " overall_generalizability = np.mean(list(domain_generalizability.values()))\n", | |
| " \n", | |
| " return overall_generalizability, domain_generalizability\n", | |
| "\n", | |
| "# Compute generalizability on test set\n", | |
| "overall_gen, domain_gen = compute_generalizability(\n", | |
| " test_terms, test_structures, test_assignments, domain_terms, domain_structures\n", | |
| ")\n", | |
| "\n", | |
| "print(f\"\\nGeneralizability Evaluation:\")\n", | |
| "for domain_idx in range(K_DOMAINS):\n", | |
| " print(f\" Domain {domain_idx}: {domain_gen[domain_idx]:.3f}\")\n", | |
| "\n", | |
| "print(f\"\\nOverall Generalizability (mean Dice similarity to prototype): {overall_gen:.3f}\")\n", | |
| "print(f\"\\nInterpretation: Higher values indicate domain prototypes generalize well to individual articles.\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "---\n", | |
| "\n", | |
| "## 11. Summary of Results\n", | |
| "\n", | |
| "Let's summarize the performance of our data-driven framework across all evaluation metrics." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 19, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
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| |
| "text/plain": [ | |
| "<Figure size 1600x500 with 3 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "transient": {} | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\n", | |
| "================================================================================\n", | |
| "SUMMARY OF DATA-DRIVEN FRAMEWORK PERFORMANCE\n", | |
| "================================================================================\n", | |
| "\n", | |
| "1. REPRODUCIBILITY (Test Set ROC-AUC):\n", | |
| " - Forward Inference: nan ± nan\n", | |
| " - Reverse Inference: nan ± nan\n", | |
| " - Combined: nan ± nan\n", | |
| "\n", | |
| "2. MODULARITY:\n", | |
| " - Within-domain distance: 0.801\n", | |
| " - Between-domain distance: 0.826\n", | |
| " - Modularity ratio: 1.030\n", | |
| "\n", | |
| "3. GENERALIZABILITY:\n", | |
| " - Mean Dice similarity to prototype: 0.230\n", | |
| "\n", | |
| "4. FRAMEWORK CHARACTERISTICS:\n", | |
| " - Number of domains: 6\n", | |
| " - Brain structures per domain: 5.0 ± 2.9\n", | |
| " - Mental function terms per domain: 25.0\n", | |
| "================================================================================\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Create summary visualization\n", | |
| "fig, axes = plt.subplots(1, 3, figsize=(16, 5))\n", | |
| "\n", | |
| "# 1. Reproducibility (ROC-AUC)\n", | |
| "domain_labels = [f\"D{i}\" for i in range(K_DOMAINS)]\n", | |
| "x = np.arange(K_DOMAINS)\n", | |
| "width = 0.35\n", | |
| "\n", | |
| "# Replace NaN with 0 for visualization\n", | |
| "forward_plot = [v if not np.isnan(v) else 0 for v in forward_test_aucs]\n", | |
| "reverse_plot = [v if not np.isnan(v) else 0 for v in reverse_test_aucs]\n", | |
| "\n", | |
| "axes[0].bar(x - width/2, forward_plot, width, label='Forward Inference', alpha=0.8)\n", | |
| "axes[0].bar(x + width/2, reverse_plot, width, label='Reverse Inference', alpha=0.8)\n", | |
| "axes[0].axhline(y=0.5, color='k', linestyle='--', alpha=0.3, label='Chance')\n", | |
| "axes[0].set_xlabel('Domain', fontsize=12)\n", | |
| "axes[0].set_ylabel('ROC-AUC', fontsize=12)\n", | |
| "axes[0].set_title('Reproducibility (Test Set)', fontsize=14, fontweight='bold')\n", | |
| "axes[0].set_xticks(x)\n", | |
| "axes[0].set_xticklabels(domain_labels)\n", | |
| "axes[0].legend()\n", | |
| "axes[0].grid(True, alpha=0.3, axis='y')\n", | |
| "axes[0].set_ylim([0, 1])\n", | |
| "\n", | |
| "# 2. Domain sizes\n", | |
| "domain_sizes_structures = [len(domain_structures[i]) for i in range(K_DOMAINS)]\n", | |
| "domain_sizes_terms = [len(domain_terms[i]) for i in range(K_DOMAINS)]\n", | |
| "\n", | |
| "axes[1].bar(x - width/2, domain_sizes_structures, width, label='Brain Structures', alpha=0.8)\n", | |
| "axes[1].bar(x + width/2, domain_sizes_terms, width, label='Mental Function Terms', alpha=0.8)\n", | |
| "axes[1].set_xlabel('Domain', fontsize=12)\n", | |
| "axes[1].set_ylabel('Count', fontsize=12)\n", | |
| "axes[1].set_title('Domain Composition', fontsize=14, fontweight='bold')\n", | |
| "axes[1].set_xticks(x)\n", | |
| "axes[1].set_xticklabels(domain_labels)\n", | |
| "axes[1].legend()\n", | |
| "axes[1].grid(True, alpha=0.3, axis='y')\n", | |
| "\n", | |
| "# 3. Generalizability\n", | |
| "gen_scores = [domain_gen[i] for i in range(K_DOMAINS)]\n", | |
| "axes[2].bar(x, gen_scores, alpha=0.8, color='green')\n", | |
| "axes[2].set_xlabel('Domain', fontsize=12)\n", | |
| "axes[2].set_ylabel('Dice Similarity to Prototype', fontsize=12)\n", | |
| "axes[2].set_title('Generalizability', fontsize=14, fontweight='bold')\n", | |
| "axes[2].set_xticks(x)\n", | |
| "axes[2].set_xticklabels(domain_labels)\n", | |
| "axes[2].grid(True, alpha=0.3, axis='y')\n", | |
| "axes[2].set_ylim([0, 1])\n", | |
| "\n", | |
| "plt.tight_layout()\n", | |
| "plt.show()\n", | |
| "\n", | |
| "# Print summary table\n", | |
| "print(\"\\n\" + \"=\"*80)\n", | |
| "print(\"SUMMARY OF DATA-DRIVEN FRAMEWORK PERFORMANCE\")\n", | |
| "print(\"=\"*80)\n", | |
| "print(f\"\\n1. REPRODUCIBILITY (Test Set ROC-AUC):\")\n", | |
| "print(f\" - Forward Inference: {np.nanmean(forward_test_aucs):.3f} ± {np.nanstd(forward_test_aucs):.3f}\")\n", | |
| "print(f\" - Reverse Inference: {np.nanmean(reverse_test_aucs):.3f} ± {np.nanstd(reverse_test_aucs):.3f}\")\n", | |
| "print(f\" - Combined: {np.nanmean(combined_test_aucs):.3f} ± {np.nanstd(combined_test_aucs):.3f}\")\n", | |
| "\n", | |
| "print(f\"\\n2. MODULARITY:\")\n", | |
| "print(f\" - Within-domain distance: {mean_within:.3f}\")\n", | |
| "print(f\" - Between-domain distance: {mean_between:.3f}\")\n", | |
| "print(f\" - Modularity ratio: {modularity_ratio:.3f}\")\n", | |
| "\n", | |
| "print(f\"\\n3. GENERALIZABILITY:\")\n", | |
| "print(f\" - Mean Dice similarity to prototype: {overall_gen:.3f}\")\n", | |
| "\n", | |
| "print(f\"\\n4. FRAMEWORK CHARACTERISTICS:\")\n", | |
| "print(f\" - Number of domains: {K_DOMAINS}\")\n", | |
| "print(f\" - Brain structures per domain: {np.mean(domain_sizes_structures):.1f} ± {np.std(domain_sizes_structures):.1f}\")\n", | |
| "print(f\" - Mental function terms per domain: {np.mean(domain_sizes_terms):.1f}\")\n", | |
| "\n", | |
| "print(f\"\\n5. NOTE:\")\n", | |
| "print(f\" This notebook uses small-scale synthetic data for demonstration.\")\n", | |
| "print(f\" The full paper used 18,155 articles with a 1,816-article test set.\")\n", | |
| "print(\"=\"*80)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "---\n", | |
| "\n", | |
| "## 12. Comparison with Expert Frameworks (Conceptual)\n", | |
| "\n", | |
| "The paper compares the data-driven framework with two expert-determined frameworks:\n", | |
| "\n", | |
| "1. **RDoC (Research Domain Criteria)**: NIMH framework with 6 domains\n", | |
| "2. **DSM (Diagnostic and Statistical Manual)**: 9 disorder categories\n", | |
| "\n", | |
| "### Comparison Method\n", | |
| "\n", | |
| "For each expert framework:\n", | |
| "1. Use GloVe word embeddings to identify synonyms of expert-defined terms in neuroimaging literature\n", | |
| "2. Map term lists to brain circuits using PMI-weighted co-occurrences\n", | |
| "3. Evaluate using the same metrics: reproducibility, modularity, generalizability\n", | |
| "\n", | |
| "### Key Findings from the Paper\n", | |
| "\n", | |
| "The data-driven framework showed:\n", | |
| "- **Higher reproducibility** than both RDoC and DSM\n", | |
| "- **Better modularity** (domains more distinct)\n", | |
| "- **Comparable generalizability**\n", | |
| "\n", | |
| "### Note on This Implementation\n", | |
| "\n", | |
| "Implementing the full RDoC and DSM comparison would require:\n", | |
| "- Training GloVe embeddings on large corpus (~30,000 articles)\n", | |
| "- Computing cosine similarities for term expansion\n", | |
| "- This would exceed our resource constraints (4GB RAM, 5-10 min runtime)\n", | |
| "\n", | |
| "For full implementation, researchers should:\n", | |
| "- Use a multi-core CPU system with 16GB+ RAM\n", | |
| "- Train GloVe with libraries like `glove-python` or `gensim`\n", | |
| "- Allow several hours for embedding training" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 20, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Framework Comparison Overview:\n", | |
| "\n", | |
| "The paper's comparison methodology:\n", | |
| " 1. RDoC Framework (6 domains):\n", | |
| " - Negative Valence Systems\n", | |
| " - Positive Valence Systems\n", | |
| " - Cognitive Systems\n", | |
| " - Social Processes\n", | |
| " - Arousal/Regulatory Systems\n", | |
| " - Sensorimotor Systems\n", | |
| "\n", | |
| " 2. DSM Framework (9 disorder categories):\n", | |
| " - Neurodevelopmental Disorders\n", | |
| " - Schizophrenia Spectrum\n", | |
| " - Bipolar Disorders\n", | |
| " - Depressive Disorders\n", | |
| " - Anxiety Disorders\n", | |
| " - OCD-Related Disorders\n", | |
| " - Trauma/Stress-Related Disorders\n", | |
| " - Substance-Related Disorders\n", | |
| " - Neurocognitive Disorders\n", | |
| "\n", | |
| " 3. Comparison Results (from paper):\n", | |
| " - Data-driven framework showed HIGHER reproducibility (ROC-AUC)\n", | |
| " - Data-driven framework showed BETTER modularity\n", | |
| " - All frameworks showed above-chance generalizability\n", | |
| "\n", | |
| "To implement full comparison:\n", | |
| " - Train GloVe embeddings on neuroimaging corpus (requires ~16GB RAM, several hours)\n", | |
| " - Expand RDoC/DSM terms using embedding similarity\n", | |
| " - Map expanded terms to brain circuits via PMI\n", | |
| " - Evaluate using same classification and similarity metrics\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Placeholder for framework comparison (not executed due to resource constraints)\n", | |
| "print(\"Framework Comparison Overview:\")\n", | |
| "print(\"\\nThe paper's comparison methodology:\")\n", | |
| "print(\" 1. RDoC Framework (6 domains):\")\n", | |
| "print(\" - Negative Valence Systems\")\n", | |
| "print(\" - Positive Valence Systems\")\n", | |
| "print(\" - Cognitive Systems\")\n", | |
| "print(\" - Social Processes\")\n", | |
| "print(\" - Arousal/Regulatory Systems\")\n", | |
| "print(\" - Sensorimotor Systems\")\n", | |
| "print(\"\\n 2. DSM Framework (9 disorder categories):\")\n", | |
| "print(\" - Neurodevelopmental Disorders\")\n", | |
| "print(\" - Schizophrenia Spectrum\")\n", | |
| "print(\" - Bipolar Disorders\")\n", | |
| "print(\" - Depressive Disorders\")\n", | |
| "print(\" - Anxiety Disorders\")\n", | |
| "print(\" - OCD-Related Disorders\")\n", | |
| "print(\" - Trauma/Stress-Related Disorders\")\n", | |
| "print(\" - Substance-Related Disorders\")\n", | |
| "print(\" - Neurocognitive Disorders\")\n", | |
| "print(\"\\n 3. Comparison Results (from paper):\")\n", | |
| "print(\" - Data-driven framework showed HIGHER reproducibility (ROC-AUC)\")\n", | |
| "print(\" - Data-driven framework showed BETTER modularity\")\n", | |
| "print(\" - All frameworks showed above-chance generalizability\")\n", | |
| "print(\"\\nTo implement full comparison:\")\n", | |
| "print(\" - Train GloVe embeddings on neuroimaging corpus (requires ~16GB RAM, several hours)\")\n", | |
| "print(\" - Expand RDoC/DSM terms using embedding similarity\")\n", | |
| "print(\" - Map expanded terms to brain circuits via PMI\")\n", | |
| "print(\" - Evaluate using same classification and similarity metrics\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "---\n", | |
| "\n", | |
| "## 13. Scaling to Full Experiments\n", | |
| "\n", | |
| "This notebook demonstrates the methodology with synthetic data. To replicate the full paper analysis:\n", | |
| "\n", | |
| "### Data Collection\n", | |
| "- **Coordinate data**: Download from BrainMap (https://www.brainmap.org/) and Neurosynth (https://neurosynth.org/)\n", | |
| "- **Article texts**: Use web scraping with Automated Coordinate Extractor (ACE)\n", | |
| "- **Expected size**: ~18,000 articles, ~600,000 coordinates\n", | |
| "\n", | |
| "### Computational Requirements\n", | |
| "- **Memory**: 16-32 GB RAM recommended\n", | |
| "- **CPU**: Multi-core processor (8+ cores optimal)\n", | |
| "- **Storage**: 50-100 GB for article PDFs and processed data\n", | |
| "- **Runtime**: Several hours to days for full pipeline\n", | |
| "\n", | |
| "### Key Steps for Full Implementation\n", | |
| "\n", | |
| "1. **Text Processing** (2-4 hours):\n", | |
| " - Use NLTK for preprocessing (already demonstrated above)\n", | |
| " - Extract terms from 18,000+ article PDFs\n", | |
| " - Apply lemmatization, stop word removal\n", | |
| "\n", | |
| "2. **Coordinate Processing** (1-2 hours):\n", | |
| " - Install FSL (https://fsl.fmrib.ox.ac.uk/fsl/fslwiki)\n", | |
| " - Use `atlasquery` to map coordinates to 118 structures\n", | |
| " - Convert Talairach to MNI using Lancaster transform\n", | |
| "\n", | |
| "3. **PMI Computation** (30-60 minutes):\n", | |
| " - Scale up to 118 structures × 1,683 terms\n", | |
| " - Use sparse matrices for memory efficiency\n", | |
| "\n", | |
| "4. **Clustering** (5-10 minutes):\n", | |
| " - K-means scales well to 118 structures\n", | |
| " - Test k from 2 to 20 as in the paper\n", | |
| "\n", | |
| "5. **Classification** (1-2 hours):\n", | |
| " - Train logistic regression for all domains\n", | |
| " - Use cross-validation for hyperparameter tuning\n", | |
| " - Consider using scikit-learn's `n_jobs=-1` for parallelization\n", | |
| "\n", | |
| "6. **GloVe Training** (for RDoC/DSM comparison, 4-8 hours):\n", | |
| " - Install: `pip install glove-python`\n", | |
| " - Train on ~30,000 article corpus\n", | |
| " - Use 100-300 dimensional embeddings\n", | |
| "\n", | |
| "### Code Modifications for Full Scale\n", | |
| "\n", | |
| "```python\n", | |
| "# Example: Loading real BrainMap data\n", | |
| "# import pandas as pd\n", | |
| "# brainmap_data = pd.read_csv('brainmap_coordinates.csv')\n", | |
| "# coordinates = brainmap_data[['x', 'y', 'z']].values\n", | |
| "\n", | |
| "# Example: Using FSL atlasquery for coordinate mapping\n", | |
| "# import subprocess\n", | |
| "# result = subprocess.run(\n", | |
| "# ['atlasquery', '-a', 'Harvard-Oxford Cortical', '-c', f'{x},{y},{z}'],\n", | |
| "# capture_output=True\n", | |
| "# )\n", | |
| "\n", | |
| "# Example: Training GloVe embeddings\n", | |
| "# from glove import Corpus, Glove\n", | |
| "# corpus = Corpus()\n", | |
| "# corpus.fit(article_texts, window=10)\n", | |
| "# glove = Glove(no_components=100, learning_rate=0.05)\n", | |
| "# glove.fit(corpus.matrix, epochs=30)\n", | |
| "```\n", | |
| "\n", | |
| "### Optimization Tips\n", | |
| "- Use sparse matrices for co-occurrence computation\n", | |
| "- Parallelize across articles using `multiprocessing`\n", | |
| "- Cache intermediate results (PMI matrices, embeddings)\n", | |
| "- Use GPU for neural network classifiers if available" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "---\n", | |
| "\n", | |
| "## 14. Conclusion\n", | |
| "\n", | |
| "This notebook demonstrates the computational workflow from the paper **\"A data-driven framework for mapping domains of human neurobiology\"** by Beam et al.\n", | |
| "\n", | |
| "### What We Implemented\n", | |
| "\n", | |
| "✅ **Data generation**: Created realistic synthetic data mimicking neuroimaging articles \n", | |
| "✅ **PMI-weighted co-occurrence**: Computed associations between terms and brain structures \n", | |
| "✅ **K-means clustering**: Grouped brain structures into functional circuits \n", | |
| "✅ **Term assignment**: Linked mental function terms to each circuit \n", | |
| "✅ **Classification**: Forward and reverse inference with logistic regression \n", | |
| "✅ **Evaluation**: Reproducibility, modularity, and generalizability metrics \n", | |
| "\n", | |
| "### Key Takeaways\n", | |
| "\n", | |
| "1. **Data-driven approach**: The framework discovers neurobiological domains directly from data rather than expert opinion\n", | |
| "2. **PMI weighting**: Crucial for identifying meaningful structure-function associations\n", | |
| "3. **Multi-metric evaluation**: Reproducibility, modularity, and generalizability provide comprehensive assessment\n", | |
| "4. **Scalability**: Methods scale to full datasets with appropriate computational resources\n", | |
| "\n", | |
| "### Next Steps for Researchers\n", | |
| "\n", | |
| "To use this framework for your own research:\n", | |
| "1. Collect neuroimaging data with coordinate and text information\n", | |
| "2. Scale up the code to your dataset size\n", | |
| "3. Optimize hyperparameters (k, number of terms, etc.) on validation data\n", | |
| "4. Compare with domain-specific expert frameworks\n", | |
| "5. Interpret the discovered domains in the context of your research question\n", | |
| "\n", | |
| "### Citation\n", | |
| "\n", | |
| "If you use methods from this paper, please cite:\n", | |
| "\n", | |
| "```\n", | |
| "Beam, E., Potts, C., Poldrack, R. A., & Etkin, A. (2021). \n", | |
| "A data-driven framework for mapping domains of human neurobiology. \n", | |
| "Nature Neuroscience, 24(12), 1733-1744.\n", | |
| "```\n", | |
| "\n", | |
| "---\n", | |
| "\n", | |
| "**Thank you for using this educational notebook!** \n", | |
| "For questions or issues, please refer to the original paper or contact the authors." | |
| ] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3", | |
| "language": "python", | |
| "name": "python3" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 3 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.8.10" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 4 | |
| } |
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