{ "cells": [ { "cell_type": "markdown", "id": "f9c79cb4-000c-4e1a-83bd-fe716365833d", "metadata": {}, "source": [ "# Homework #1: Basics (NumPy, Pandas, Matplotlib, Scikit-Learn)\n", "\n", "## Learning Objectives\n", "- Understand the fundamentals of NumPy arrays.\n", "- Perform array creation and manipulation using real-world data.\n", "- Conduct basic operations on NumPy arrays.\n", "- Learn to create and manipulate DataFrames.\n", "- Perform data analysis using pandas.\n", "- Conduct basic data cleaning and preprocessing tasks.\n", "- Understand the basics of plotting with Matplotlib.\n", "- Create scatter plots and bar plots.\n", "- Customize plots with titles, labels, and legends.\n", "- Understand the basic workflow of scikit-learn.\n", "- Perform data preparation and scaling.\n", "- Implement a K-Nearest Neighbors model and evaluate its performance." ] }, { "cell_type": "markdown", "id": "66bb408d-f8ed-4f2e-a38e-ae8c3346d086", "metadata": {}, "source": [ "## Structure\n", "- [**Part 1: NumPy Basics**](#1)\n", "- [1.1 Array Creation and Manipulation](#1.1)\n", "- [1.2 Array Operations](#1.2)\n", "- [1.3 Pseudo Matrix Inversion](1.3)\n", "

 

\n", "\n", "- [**Part 2: pandas Basics**](#2)\n", "- [2.1 DataFrame Creation and Manipulation](#2.1)\n", "- [2.2 Data Analysis](#2.2)\n", "

 

\n", "\n", "- [**Part 3: Matplotlib Basics**](#3)\n", "- [3.1 Scatter Plot](#3.1)\n", "

 

\n", "\n", "- [**Part 4: scikit-learn Basics**](#4)\n", "- [4.1 Data Preparation](#4.1)\n", "- [4.2 Model Training and Evaluation](#4.2)\n", "

 

\n", "\n", "- [**Part 5: Knowledge Check**](#5)" ] }, { "cell_type": "markdown", "id": "64efab4f-ad71-4ff4-ad26-517aff02c176", "metadata": {}, "source": [ "### Instructions\n", "- Read through each section carefully.\n", "- `Make sure you follow the task instructions carefully. Deviating from them will result in point deductions.`\n", "- Complete the code in areas marked `### YOUR CODE STARTS HERE` and `### YOUR CODE ENDS HERE`.\n", " - You will need to write around 100 lines of code to complete assignment\n", "- Run all code cells to see plots and results.\n", "- Ask for help if needed, but avoid code sharing.\n", "- Utilize online resources responsibly.\n", "- Ensure you have necessary libraries installed (numpy, pandas, matplotlib, scikit-learn).\n", "- For more information click on the task hints and expected outputs.\n", "\n", "### **Getting Help**\n", "\n", "- If you encounter issues or need assistance, here is the preferred approach to finding help:\n", "\n", " 1. **Search Online**: Begin by using online resources and forums to find answers to your questions. Make sure to solve problems on your own as much as possible without directly copying code.\n", " \n", " 2. **Consult Peers**: If online resources do not resolve your issue, you may reach out to fellow students for help. Please remember that sharing actual code is prohibited.\n", " \n", " 3. **Class Discord**: If peer consultation doesn't suffice, post your query in the class Discord to seek further assistance.\n", " \n", " 4. **Contact the TA**: If your issue still persists after exploring the above steps, reach out to the Teaching Assistant (TA).\n", " \n", " 5. **Instructor Assistance**: If you still require help and the TA has not been able to resolve your issue, you should contact the instructor.\n", " \n", " \n", "\n", "## Tutorials and Documentation Links For Help\n", "\n", "**Here are the links to the tutorials:**\n", "\n", "- [NumPy Tutorials](https://github.com/CuriousNeuralNerd/Tutorials/blob/fbdeb171ed16958e7571df0f1272c68ce3f4d3ab/numpy_basics.ipynb)\n", "- [pandas Tutorials](https://github.com/CuriousNeuralNerd/Tutorials/blob/fbdeb171ed16958e7571df0f1272c68ce3f4d3ab/pandas_basics.ipynb)\n", "- [Matplotlib Tutorials](https://github.com/CuriousNeuralNerd/Tutorials/blob/fbdeb171ed16958e7571df0f1272c68ce3f4d3ab/matplotlib_basics.ipynb)\n", "- [scikit-learn Tutorials](https://github.com/CuriousNeuralNerd/Tutorials/blob/fbdeb171ed16958e7571df0f1272c68ce3f4d3ab/scikit_learn_basics.ipynb)\n", "\n", "\n", "\n", "\n", "**Here are the links to the official documentation for the libraries:**\n", "\n", "- [NumPy Documentation](https://numpy.org/doc/stable/user/absolute_beginners.html)\n", "- [pandas Documentation](https://pandas.pydata.org/docs/user_guide/index.html#user-guide)\n", "- [Matplotlib Documentation](https://matplotlib.org/stable/users/explain/quick_start.html)\n", "- [SciPy Documentation](https://scipy.github.io/devdocs/tutorial/index.html)\n", "- [scikit-learn Documentation](https://scikit-learn.org/stable/)\n", "\n", "\n", "### **Grading Rubric**\n", " \n", "| **Part** | **Description** | **Weight** |\n", "|----------|-------------------------------|------------|\n", "| 1 | NumPy | **20%** |\n", "| 2 | Pandas | **20%** |\n", "| 3 | Matplotlib | **20%** |\n", "| 4 | Scikit-Learn | **20%** |\n", "| 5 | Knowledge Check | **20%** |\n", "\n", "\n", "\n", "## Submission Instructions\n", "\n", "To complete your submission for this homework, please follow these steps:\n", "\n", "1. **Save the Completed Notebook**: Ensure that all your code and written answers are finalized, then save the `.ipynb` file.\n", "2. **Export to PDF**: Additionally, export or save your completed notebook as a `PDF` file.\n", "3. **Submit Both Files**: Turn in both the `.ipynb` file and the `PDF` file. Make sure that both files are clearly labeled and include your Net ID (`HW_x_NetID`)." ] }, { "cell_type": "markdown", "id": "ecd779d5-d6f4-4897-8d0f-a34841231799", "metadata": {}, "source": [ "## Setup\n", "\n", "First, we import all the necessary libraries and load the dataset:" ] }, { "cell_type": "code", "execution_count": 2, "id": "a84ddb1a-407b-4cab-8b03-f30fcf3218eb", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from matplotlib.ticker import ScalarFormatter\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.neighbors import KNeighborsRegressor\n", "from sklearn.metrics import mean_squared_error, r2_score\n", "\n", "# Load the dataset\n", "url = \"https://media.githubusercontent.com/media/CuriousNeuralNerd/data/main/housing_market.csv\"\n", "data = pd.read_csv(url)\n", "\n", "# Global variable for random state\n", "RANDOM_STATE = 42" ] }, { "cell_type": "markdown", "id": "2c3f0c04-fe90-42b4-bcf8-eb98d533b32e", "metadata": {}, "source": [ "## Data Handling\n", "\n", "#### Filtering Data for Tennessee\n", "**Task:**\n", "\n", "1. Filter the dataset to include only houses in Tennessee.\n", "2. Remove any rows with missing values in the `price`, `bed`, `bath`, and `house_size` columns.\n", "3. Sort the dataset from highest price to lowest price\n", "4. Create a new DataFrame with reindexed values starting from the highest price.\n", "5. Variables you must use:\n", " - tn_houses\n", " - tn_houses_clean\n", " - tn_houses_sorted" ] }, { "cell_type": "markdown", "id": "e4d80669-e687-4ff7-beb1-9a2849118eba", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "- _Why:_ Focusing on a specific region helps in managing the data size and provides more relevant insights. Cleaning the data ensures accuracy, and sorting helps in identifying the most and least expensive houses. Reindexing ensures that the data is neatly ordered.\n", "- _How:_ Use pandas methods to filter, clean, sort, and reindex the dataset.\n", "- _Example:_ Filtering the data ensures you work only with relevant data points. Cleaning removes any incomplete records that could skew analysis. Sorting allows you to easily see the range of prices.\n", "- _Extra Example:_ In a student scores dataset, filtering for a specific school focuses your analysis, cleaning removes any missing scores, and sorting by scores highlights top performers.\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 5\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 2, "id": "510d3d7d-d62f-4d9c-a9f4-69ea00b0269e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " brokered_by status price bed bath acre_lot street \\\n", "0 91797.0 for_sale 16500000.0 6.0 13.0 4.04 776505.0 \n", "1 36841.0 for_sale 15000000.0 5.0 7.0 22.00 584537.0 \n", "2 96027.0 for_sale 15000000.0 5.0 7.0 59.50 1466778.0 \n", "3 81326.0 for_sale 15000000.0 7.0 6.0 916.00 588538.0 \n", "4 100514.0 for_sale 14500000.0 3.0 4.0 278.77 1166429.0 \n", "\n", " city state zip_code house_size prev_sold_date \n", "0 Franklin Tennessee 37069.0 22743.0 2004-03-05 \n", "1 Nashville Tennessee 37215.0 8938.0 NaN \n", "2 Columbia Tennessee 38401.0 6996.0 NaN \n", "3 Walland Tennessee 37886.0 4160.0 NaN \n", "4 Franklin Tennessee 37067.0 2766.0 2015-04-27 \n" ] } ], "source": [ "# Filter for Tennessee houses\n", "tn_houses = data[data['state'] == 'Tennessee']\n", "\n", "# Remove rows with NaN values in specific columns\n", "tn_houses_clean = tn_houses.dropna(subset=['price', 'bed', 'bath', 'house_size'])\n", "\n", "# Sort by price from highest to lowest\n", "tn_houses_sorted = tn_houses_clean.sort_values(by='price', ascending=False)\n", "\n", "# Create a new DataFrame with reindexed values starting from the Highest price\n", "tn_houses = tn_houses_sorted.reset_index(drop=True)\n", "print(tn_houses.head())" ] }, { "cell_type": "markdown", "id": "fb70489e-5e10-4879-809f-4cccb5fd91f2", "metadata": {}, "source": [ "\n", "# Part 1: NumPy Basics\n", "\n", "\n", "## Task 1.1: Array Creation and Manipulation\n", "\n", "### 1.1.1 Creating 1D NumPy arrays\n", "\n", "**Task:**\n", "\n", "1. Create 1D arrays with house prices, number of bedrooms, bathrooms, and house sizes from the Tennessee dataset.\n", "2. Extract the top 10 highest and the top 10 lowest house prices, along with their corresponding number of bedrooms, bathrooms, and house sizes.\n", "3. Sort the dataset by the number of bedrooms and extract the top 10 highest and the top 10 lowest numbers of bedrooms, along with their corresponding prices, bathrooms, and house sizes.\n", "4. Variables you must use:\n", " - house_prices\n", " - house_beds\n", " - house_baths\n", " - house_sizes\n", " - prices_array\n", " - beds_array\n", " - baths_array\n", " - sizes_array\n", " - top_10_prices\n", " - top_10_beds_for_top_prices\n", " - top_10_baths_for_top_prices\n", " - top_10_sizes_for_top_prices\n", " - lowest_10_prices\n", " - lowest_10_beds_for_lowest_prices\n", " - lowest_10_baths_for_lowest_prices\n", " - lowest_10_sizes_for_lowest_prices\n", " - tn_houses_sorted_by_beds\n", " - beds_sorted\n", " - prices_sorted_by_beds\n", " - baths_sorted_by_beds\n", " - sizes_sorted_by_beds\n", " - top_10_beds\n", " - top_10_prices_for_top_beds\n", " - top_10_baths_for_top_beds\n", " - top_10_sizes_for_top_beds\n", " - lowest_10_beds\n", " - lowest_10_prices_for_lowest_beds\n", " - lowest_10_baths_for_lowest_beds\n", " - lowest_10_sizes_for_lowest_beds" ] }, { "cell_type": "markdown", "id": "cd8d5b43-7c6c-475b-9004-7ca4c5c8694d", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "- _Why:_ Understanding how to create and manipulate arrays is fundamental in data analysis. Identifying extremes helps understand data variability and can highlight trends or anomalies in the data.\n", "- _How:_ Use NumPy to convert the lists of house prices, number of bedrooms, bathrooms, and house sizes into arrays. Slice these arrays to get the top 10 highest and lowest values for each. Sort the dataset by the number of bedrooms to extract corresponding values for prices, bathrooms, and house sizes.\n", "- _Example:_ Converting lists of house prices, number of bedrooms, bathrooms, and house sizes into NumPy arrays allows easy mathematical operations on all these attributes at once. Extracting the top 10 highest and lowest values helps in understanding the range and distribution of the data.\n", "- _Extra Example:_ In a dataset of student scores, converting lists of scores for different subjects into NumPy arrays allows you to easily calculate averages and variances. Extracting the top and bottom scores for each subject helps identify top performers and those who may need additional support.\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 42\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 3, "id": "ca03970e-59e0-48fa-8a8e-20f73f7f90fb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Top 10 highest house prices: \n", "[16500000. 15000000. 15000000. 15000000. 14500000. 12900000. 12000000.\n", " 11900000. 10600000. 10499000.]\n", "Top 10 number of bed for highest house prices: \n", "[6. 5. 5. 7. 3. 6. 4. 5. 7. 5.]\n", "Top 10 number of bath for highest house prices: \n", "[13. 7. 7. 6. 4. 13. 5. 9. 7. 6.]\n", "Top 10 house sizes for highest house prices: \n", "[22743. 8938. 6996. 4160. 2766. 22004. 3440. 11034. 6171. 9000.]\n", "\n", "Top 10 cheapest house prices: \n", "[25000. 25000. 24900. 24900. 20000. 20000. 19999. 19900. 18000. 16000.]\n", "Top 10 number of bed for cheapest house prices: \n", "[4. 3. 2. 2. 1. 2. 3. 2. 3. 2.]\n", "Top 10 number of bath for cheapest house prices: \n", "[2. 2. 1. 1. 1. 1. 2. 1. 1. 1.]\n", "Top 10 house sizes for cheapest house prices: \n", "[2250. 1280. 480. 480. 952. 480. 1536. 864. 1064. 749.]\n", "\n", "Top 10 highest number of bedrooms: \n", "[52. 33. 26. 15. 15. 14. 14. 12. 12. 12.]\n", "Top 10 prices for highest number of bed: \n", "[2950000. 190000. 2100000. 139900. 4000000. 4499900. 2500000. 2790000.\n", " 350000. 589000.]\n", "Top 10 number of bath for highest number of bed: \n", "[16. 2. 28. 7. 13. 17. 6. 9. 4. 8.]\n", "Top 10 house sizes for highest number of bed: \n", "[29392. 1248. 16310. 4747. 9120. 9816. 8000. 6732. 5700. 5460.]\n", "\n", "Top 10 lowest number of bedrooms: \n", "[1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]\n", "Top 10 prices for lowest number of bed: \n", "[199000. 114900. 199900. 45000. 160000. 125000. 228000. 125000. 38500.\n", " 379000.]\n", "Top 10 number of bath for lowest number of bed: \n", "[2. 1. 2. 1. 1. 1. 2. 1. 1. 1.]\n", "Top 10 house sizes for lowest number of bed: \n", "[1598. 625. 1200. 720. 624. 650. 632. 816. 480. 582.]\n" ] } ], "source": [ "# Get house prices, number of bedrooms, bathrooms, and house sizes\n", "house_prices = tn_houses['price'].values\n", "house_beds = tn_houses['bed'].values\n", "house_baths = tn_houses['bath'].values\n", "house_sizes = tn_houses['house_size'].values\n", "\n", "# Create 1D arrays for house prices, number of bedrooms, bathrooms, and house sizes\n", "prices_array = np.array(house_prices)\n", "beds_array = np.array(house_beds)\n", "baths_array = np.array(house_baths)\n", "sizes_array = np.array(house_sizes)\n", "\n", "# Top 10 highest house prices\n", "top_10_prices = prices_array[:10]\n", "top_10_beds_for_top_prices = beds_array[:10]\n", "top_10_baths_for_top_prices = baths_array[:10]\n", "top_10_sizes_for_top_prices = sizes_array[:10]\n", "\n", "# Top 10 cheapest house prices\n", "lowest_10_prices = prices_array[-10:]\n", "lowest_10_beds_for_lowest_prices = beds_array[-10:]\n", "lowest_10_baths_for_lowest_prices = baths_array[-10:]\n", "lowest_10_sizes_for_lowest_prices = sizes_array[-10:]\n", "\n", "# Sort by number of bedrooms from highest to lowest\n", "tn_houses_sorted_by_beds = tn_houses_clean.sort_values(by='bed', ascending=False)\n", "beds_sorted = tn_houses_sorted_by_beds['bed'].values\n", "prices_sorted_by_beds = tn_houses_sorted_by_beds['price'].values\n", "baths_sorted_by_beds = tn_houses_sorted_by_beds['bath'].values\n", "sizes_sorted_by_beds = tn_houses_sorted_by_beds['house_size'].values\n", "\n", "# Top 10 highest number of bedrooms\n", "top_10_beds = beds_sorted[:10]\n", "top_10_prices_for_top_beds = prices_sorted_by_beds[:10]\n", "top_10_baths_for_top_beds = baths_sorted_by_beds[:10]\n", "top_10_sizes_for_top_beds = sizes_sorted_by_beds[:10]\n", "\n", "# Top 10 lowest number of bedrooms\n", "lowest_10_beds = beds_sorted[-10:]\n", "lowest_10_prices_for_lowest_beds = prices_sorted_by_beds[-10:]\n", "lowest_10_baths_for_lowest_beds = baths_sorted_by_beds[-10:]\n", "lowest_10_sizes_for_lowest_beds = sizes_sorted_by_beds[-10:]\n", "\n", "print(f\"Top 10 highest house prices: \\n{top_10_prices}\")\n", "print(f\"Top 10 number of bed for highest house prices: \\n{top_10_beds_for_top_prices}\")\n", "print(f\"Top 10 number of bath for highest house prices: \\n{top_10_baths_for_top_prices}\")\n", "print(f\"Top 10 house sizes for highest house prices: \\n{top_10_sizes_for_top_prices}\")\n", "\n", "print(f\"\\nTop 10 cheapest house prices: \\n{lowest_10_prices}\")\n", "print(f\"Top 10 number of bed for cheapest house prices: \\n{lowest_10_beds_for_lowest_prices}\")\n", "print(f\"Top 10 number of bath for cheapest house prices: \\n{lowest_10_baths_for_lowest_prices}\")\n", "print(f\"Top 10 house sizes for cheapest house prices: \\n{lowest_10_sizes_for_lowest_prices}\")\n", "\n", "print(f\"\\nTop 10 highest number of bedrooms: \\n{top_10_beds}\")\n", "print(f\"Top 10 prices for highest number of bed: \\n{top_10_prices_for_top_beds}\")\n", "print(f\"Top 10 number of bath for highest number of bed: \\n{top_10_baths_for_top_beds}\")\n", "print(f\"Top 10 house sizes for highest number of bed: \\n{top_10_sizes_for_top_beds}\")\n", "\n", "print(f\"\\nTop 10 lowest number of bedrooms: \\n{lowest_10_beds}\")\n", "print(f\"Top 10 prices for lowest number of bed: \\n{lowest_10_prices_for_lowest_beds}\")\n", "print(f\"Top 10 number of bath for lowest number of bed: \\n{lowest_10_baths_for_lowest_beds}\")\n", "print(f\"Top 10 house sizes for lowest number of bed: \\n{lowest_10_sizes_for_lowest_beds}\")" ] }, { "cell_type": "markdown", "id": "762c8479-9e64-49f3-8dc7-fa816a794a44", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "```\n", "Top 10 highest house prices: \n", "[16500000. 15000000. 15000000. 15000000. 14500000. 12900000. 12000000.\n", " 11900000. 10600000. 10499000.]\n", "Top 10 number of bed for highest house prices: \n", "[6. 5. 5. 7. 3. 6. 4. 5. 7. 5.]\n", "Top 10 number of bath for highest house prices: \n", "[13. 7. 7. 6. 4. 13. 5. 9. 7. 6.]\n", "Top 10 house sizes for highest house prices: \n", "[22743. 6996. 8938. 4160. 2766. 22004. 3440. 11034. 6171. 9000.]\n", "\n", "Top 10 cheapest house prices: \n", "[25000. 25000. 24900. 24900. 20000. 20000. 19999. 19900. 18000. 16000.]\n", "Top 10 number of bed for cheapest house prices: \n", "[3. 3. 2. 2. 1. 2. 3. 2. 3. 2.]\n", "Top 10 number of bath for cheapest house prices: \n", "[2. 2. 1. 1. 1. 1. 2. 1. 1. 1.]\n", "Top 10 house sizes for cheapest house prices: \n", "[1280. 1098. 480. 480. 952. 480. 1536. 864. 1064. 749.]\n", "\n", "Top 10 highest number of bedrooms: \n", "[52. 33. 26. 15. 15. 14. 14. 12. 12. 12.]\n", "Top 10 prices for highest number of bed: \n", "[2950000. 190000. 2100000. 4000000. 139900. 2500000. 4499900. 589000.\n", " 2790000. 350000.]\n", "Top 10 number of bath for highest number of bed: \n", "[16. 2. 28. 13. 7. 6. 17. 8. 9. 4.]\n", "Top 10 house sizes for highest number of bed: \n", "[29392. 1248. 16310. 9120. 4747. 8000. 9816. 5460. 6732. 5700.]\n", "\n", "Top 10 lowest number of bedrooms: \n", "[1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]\n", "Top 10 prices for lowest number of bed: \n", "[135000. 142000. 219900. 379900. 80000. 80000. 329000. 39500. 349900.\n", " 275000.]\n", "Top 10 number of bath for lowest number of bed: \n", "[1. 1. 1. 2. 1. 1. 2. 1. 1. 1.]\n", "Top 10 house sizes for lowest number of bed: \n", "[ 480. 1000. 784. 1800. 480. 480. 1192. 1015. 696. 420.]\n", "\n", "```\n", "\n", "**Explanation**\n", "\n", "- Data Filtering and Cleaning: Filters for Tennessee houses and removes rows with missing values.\n", "- Sorting by Price: Extracts top 10 highest and lowest house prices, along with corresponding number of bedrooms, bathrooms, and house sizes.\n", "- Sorting by Bedrooms: Extracts top 10 highest and lowest numbers of bedrooms, along with corresponding prices, bathrooms, and house sizes.\n", "- Print Statements: Displays the desired outputs, showing how each attribute varies across the top and bottom extremes of house prices and the number of bedrooms." ] }, { "cell_type": "markdown", "id": "cf00b681-6a32-4359-a60e-731793afddb3", "metadata": {}, "source": [ "### 1.1.2 Reshape the array\n", "\n", "**Task (You):**\n", "4 points\n", "\n", "1. Reshape the top 10 highest prices array into a 2D array with 2 rows and 5 columns.\n", "2. Display the results.\n", "3. Variables you must use: \n", " - prices_reshaped" ] }, { "cell_type": "markdown", "id": "ea93fd4a-564c-4fe2-9471-274156486cc7", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "- _Why:_ Reshaping arrays is a common operation that allows different perspectives on the data.\n", "- _How:_ Use NumPy's reshape method to change the shape of the array.\n", "- _Example:_ Reshaping a list of 10 house prices into a 2x5 array organizes the data in a way that is more convenient for certain operations or visualizations.\n", "- _Extra Example:_ Reshaping a list of 10 student scores into a 2x5 array allows you to organize the data by two tests with five students each, making it easier to compare performance across tests.\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 2\n", "\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 4, "id": "2efd0e7c-b4c5-475a-bb35-ee875d7aaa41", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-0c8a3cb813fca6a9", "locked": false, "schema_version": 3, "solution": true, "task": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2D array of top 10 highest prices:\n", " [[16500000. 15000000. 15000000. 15000000. 14500000.]\n", " [12900000. 12000000. 11900000. 10600000. 10499000.]]\n" ] } ], "source": [ "### BEGIN SOLUTION\n", "prices_reshaped = top_10_prices.reshape(2, 5)\n", "print(\"2D array of top 10 highest prices:\\n\", prices_reshaped)\n", "### END SOLUTION" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "453400a4", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:image.png)\n", "\n", "\n", "**Explanation:**\n", "\n", "This output shows the same top 10 highest house prices, but reshaped into a 2D array with 2 rows and 5 columns.\n", "\n", "The reshaping allows us to view the data in a different structure, which can be useful for certain types of analysis or visualization. In this case:\n", "\n", "- The first row contains the top 5 highest prices\n", "- The second row contains the next 5 highest prices\n", "\n", "This structure could be useful for comparing the top 5 vs the next 5, or for processing the data in chunks of 5. It's important to note that while the shape has changed, the underlying data remains the same - these are still the 10 highest house prices in descending order." ] }, { "cell_type": "markdown", "id": "f80b366e-0a2b-40ec-9274-590219e22274", "metadata": {}, "source": [ "### 1.1.3 Create another 2D array with house sizes\n", "\n", "**Task (You):** \n", "4 points\n", "\n", "1. Create a 2D array with house sizes corresponding to the top 10 highest house prices, reshaped to 2 rows and 5 columns.\n", "2. Display the results.\n", "3. Variables you must use:\n", " - house_sizes\n", " - sizes_reshaped" ] }, { "cell_type": "markdown", "id": "e7ec0053-c011-491d-8f87-c9a78ba30597", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "- _Why:_ Working with multiple related arrays is essential in data analysis.\n", "- _How:_ Use NumPy to convert the list of house sizes into an array and reshape it.\n", "- _Example:_ Creating a corresponding array of house sizes for the top 10 prices allows you to perform operations that involve both price and size.\n", "- _Extra Example:_ Creating an array of student ages for the top 10 scores helps you analyze the relationship between age and performance.\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 3\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 5, "id": "4a6f65cc-24bc-4356-8455-3067bf8ddeb7", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-ba11336744917a95", "locked": false, "schema_version": 3, "solution": true, "task": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2D array of house sizes for top 10 highest prices:\n", " [[22743. 8938. 6996. 4160. 2766.]\n", " [22004. 3440. 11034. 6171. 9000.]]\n" ] } ], "source": [ "### BEGIN SOLUTION\n", "house_sizes = tn_houses['house_size'].values[:10]\n", "sizes_reshaped = house_sizes.reshape(2, 5)\n", "print(\"2D array of house sizes for top 10 highest prices:\\n\", sizes_reshaped)\n", "### END SOLUTION" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "edb16a9b", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:image.png)\n", "\n", "**Explanation:**\n", "\n", "This output shows the house sizes (in square feet) corresponding to the top 10 highest-priced houses, also reshaped into a 2D array with 2 rows and 5 columns.\n", "\n", "Several interesting observations can be made:\n", "\n", "- The largest house 22,743 sqft corresponds to the most expensive house 16,500,000.00, which makes sense.\n", "- However, the relationship between size and price isn't perfectly linear. For example, the second most expensive house 15,000,000.00 is only 6,996 sq ft, much smaller than the most expensive one.\n", "- There's a wide range of sizes among these top 10 most expensive houses, from 2,766 sq ft to 22,743 sq ft.\n", "- Some very expensive houses are relatively small (e.g., 2,766 sq ft for 14,500,000.00), suggesting that factors other than size (like location or luxury features) significantly influence the price.\n", "\n", "This data highlights that while size is often a factor in house prices, it's not the only determinant, especially in the luxury market." ] }, { "cell_type": "markdown", "id": "24065d52-abcd-4357-a8ef-887f1e90959f", "metadata": {}, "source": [ "### 1.1.4 Perform element-wise division\n", "\n", "**Task (You):**\n", "4 points\n", "\n", "1. Perform element-wise division of the price and size arrays to get the price per square foot.\n", "2. Round the results to 2 decimals.\n", "3. Display the results.\n", "4. Variables you must use:\n", " - price_per_sqft" ] }, { "cell_type": "markdown", "id": "49a21d13-70f0-4106-b955-1744e1a9be12", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "- _Why:_ Element-wise operations are fundamental in numerical computing. Division allows for calculating rates and ratios.\n", "- _How:_ Use NumPy to divide corresponding elements of the arrays.\n", "- _Example:_ Dividing house prices by their corresponding sizes can give you the price per square foot, which is a useful metric in real estate.\n", "- _Extra Example:_ If you have arrays of total study hours and total scores, element-wise division can help you find the score per hour of study.\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 2\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 6, "id": "458ca1ae-4a20-40fc-b783-fcba27d1e1a3", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-17d115f6a3b9e9ed", "locked": false, "schema_version": 3, "solution": true, "task": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Element-wise division result (Price per sqft):\n", " [[ 725.5 1678.23 2144.08 3605.77 5242.23]\n", " [ 586.26 3488.37 1078.48 1717.71 1166.56]]\n" ] } ], "source": [ "### BEGIN SOLUTION\n", "price_per_sqft = prices_reshaped / sizes_reshaped\n", "print(\"Element-wise division result (Price per sqft):\\n\", np.round(price_per_sqft, 2))\n", "### END SOLUTION" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "3883240d", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:image.png)\n", "\n", "**Explanation:**\n", "\n", "This output shows the price per square foot for each of the top 10 most expensive houses, calculated by dividing each house's price by its size.\n", "\n", "Key observations:\n", "\n", "- The prices per square foot range from 586.26 to 5,242.23, a huge variation even among the most expensive houses.\n", "- The most expensive house overall (16,500,000 for 22,743 sq ft) has a relatively low price per square foot at 725.50.\n", "- The highest price per square foot is 5,242.23, corresponding to the 14,500,000 house that's only 2,766 sq ft.\n", "- There's no clear correlation between overall price and price per square foot among these top 10 houses.\n", "\n", "This data reveals that:\n", "\n", "- In the luxury market, smaller houses can sometimes command much higher prices per square foot.\n", "- Factors like location, amenities, and design likely play a huge role in determining price, beyond just the size of the house.\n", "- The variation in price per square foot suggests these top 10 houses might be quite different from each other in terms of quality, location, or features." ] }, { "cell_type": "markdown", "id": "dfb7a637-d6b3-4bac-b092-17d28d002a9a", "metadata": {}, "source": [ "\n", "### Task 1.2: Array Operations\n", "\n", "**Task (You):**\n", "4 points\n", "\n", "1. Find the minimum, mean, and maximum price per square foot from the whole Tennessee dataset.\n", "2. Round the results to 2 significant figures.\n", "3. Display the results.\n", "4. Variables you must use:\n", " - tn_houses\n", " - price_per_sqft_all\n", " - min_price_per_sqft\n", " - mean_price_per_sqft\n", " - max_price_per_sqft" ] }, { "cell_type": "markdown", "id": "94b60534-85da-4c34-b8ab-c92301a4b977", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "- _Why:_ Calculating statistical measures helps in summarizing and understanding the data.\n", "- _How:_ Use NumPy functions to find these statistics.\n", "- _Example:_ Finding the minimum, mean, and maximum prices per square foot helps you understand the range, central tendency, and spread of house prices.\n", "- _Extra Example:_ Finding the minimum, mean, and maximum scores per hour of study helps you understand the effectiveness of study time.\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 8\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 7, "id": "ffd044fd-5405-4a81-824d-130a2d173cb4", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-5b0f4fca6a291b1d", "locked": false, "schema_version": 3, "solution": true, "task": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min price per sqft: 3.13\n", "Mean price per sqft: 218.6\n", "Max price per sqft: 5242.23\n" ] } ], "source": [ "### BEGIN SOLUTION\n", "# Calculate price per sqft for the whole Tennessee dataset\n", "tn_houses['price_per_sqft'] = tn_houses['price'] / tn_houses['house_size']\n", "\n", "# Get the array of price per sqft\n", "price_per_sqft_all = tn_houses['price_per_sqft'].values\n", "\n", "# Calculate the minimum, mean, and maximum price per sqft\n", "min_price_per_sqft = np.min(price_per_sqft_all)\n", "mean_price_per_sqft = np.mean(price_per_sqft_all)\n", "max_price_per_sqft = np.max(price_per_sqft_all)\n", "\n", "print(\"Min price per sqft:\", np.round(min_price_per_sqft, 2))\n", "print(\"Mean price per sqft:\", np.round(mean_price_per_sqft, 2))\n", "print(\"Max price per sqft:\", np.round(max_price_per_sqft, 2))\n", "### END SOLUTION" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "7f8c98e7", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:image.png)\n", "\n", "**Explanation:**\n", "This output demonstrates the application of NumPy's statistical functions to analyze the 'price per square foot' data across the entire Tennessee dataset.\n", "\n", "1. Minimum price per square foot (3.13): This extremely low value suggests there might be some unusual properties in the dataset, possibly undeveloped land or properties in very poor condition. It's important to investigate such outliers to ensure data quality.\n", "2. Mean price per square foot (218.6): This represents the average price per square foot across all properties in the dataset. It provides a central tendency measure for the Tennessee housing market.\n", "3. Maximum price per square foot (5242.23): This very high value likely represents luxury properties or those in highly desirable locations. The large gap between the mean and max indicates a right-skewed distribution of prices per square foot.\n", "\n", "The wide range between the minimum and maximum (from 3.13 to 5,242.23 per square foot) highlights the diverse nature of the Tennessee real estate market. This diversity could be due to factors such as location (urban vs. rural), property condition, and local economic factors.\n", "The mean of 218.6 per square foot provides a general idea of property values, but given the large range, it's crucial to consider this figure in context. For more robust analysis, additional measures like median or quartiles might be useful to mitigate the effect of extreme values." ] }, { "cell_type": "markdown", "id": "42a40a79-bc92-4805-a528-7ce467c39205", "metadata": {}, "source": [ "\n", "### Task 1.3: Pseudo Matrix Inversion\n", "\n", "**Task (You):**\n", "4 points\n", "\n", "1. Use the house feature (house_size) as matrix `A` and house prices as vector `y`. Compute the vector `x` using the pseudo-inverse of `A`.\n", "2. Round the results to 2 significant figures.\n", "3. Display the results.\n", "4. Variables you must use:\n", " - A\n", " - y\n", " - A_pseudo_inverse\n", " - x" ] }, { "cell_type": "markdown", "id": "223542c4-efbc-4499-99ee-89d05816dac7", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "- _Why:_ Pseudo-inverse is used to find the least-squares solution to a system of linear equations.\n", "- _How:_ Use NumPy's `pinv` and `dot` functions to compute the pseudo-inverse and solve for `x`.\n", "- _Example:_ Solving for `x` in the equation `A∗x=y` using the pseudo-inverse of `A`.\n", "- _Extra Example:_ In statistics, pseudo-inverse is used in linear regression to find the best-fit line for data points.\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 12\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 8, "id": "29e6616b-de9f-458c-b678-29ce76f179c5", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-21a575a12752d252", "locked": false, "schema_version": 3, "solution": true, "task": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computed x using pseudo-inverse of A:\n", " [245.69]\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### BEGIN SOLUTION\n", "# Define matrix A and vector y\n", "A = tn_houses[['house_size']].values\n", "y = tn_houses['price'].values\n", "\n", "# Compute the pseudo-inverse of A\n", "A_pseudo_inverse = np.linalg.pinv(A)\n", "\n", "# Compute the vector x\n", "x = np.dot(A_pseudo_inverse, y)\n", "print(\"Computed x using pseudo-inverse of A:\\n\", np.round(x,2))\n", "### END SOLUTION\n", "\n", "plt.scatter(A, y, color='#ff8200', label='Data points')\n", "plt.plot(A, np.dot(A, x), color='red', label='Regression line')\n", "plt.xlabel('House Size (sqft)')\n", "plt.ylabel('Price')\n", "plt.title('Linear Regression using Pseudo-Inverse')\n", "plt.legend()\n", "plt.show()" ] }, { "attachments": { "a1ec529a-ff0b-49ed-b949-23ea03b68565.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "80d821a5", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:a1ec529a-ff0b-49ed-b949-23ea03b68565.png)\n", "\n", "**Explanation:**\n", "\n", "This output shows the result of applying the pseudo-inverse method to solve a linear regression problem for house price prediction using only the `house_size` feature.\n", "\n", "- House Size: The coefficient `245.69` suggests that for each additional square foot of house size, the price increases by approximately 245.69 units of currency, assuming a linear relationship between house size and price.\n", "\n", "**Visualization:**\n", "\n", "The accompanying plot visualizes this relationship:\n", "\n", "- **Data Points (Orange Dots):** Represent the actual data points showing the house sizes and their corresponding prices.\n", "- **Regression Line (Red Line):** Represents the best fit line computed using the pseudo-inverse operation. This line indicates the expected price for a given house size based on the linear model.\n", "\n", "**Key Insights:**\n", "\n", "- The positive coefficient of `245.69` aligns with expectations, indicating that larger homes are generally more expensive.\n", "- The simplicity of this model, using only one feature, allows for a clear visualization of the relationship between house size and price.\n", "- However, this single-feature model does not account for other factors like the number of bedrooms or bathrooms, which could also influence the house price. Therefore, while the model gives a clear linear relationship between house size and price, it may oversimplify the complexities of real-world housing markets." ] }, { "cell_type": "markdown", "id": "1a2aa886-5fbb-4069-8dc2-505dfce0ce3b", "metadata": {}, "source": [ "\n", "# Part 2: Pandas Basics\n", "\n", "### Task 2.1: DataFrame Creation and Manipulation\n", "### 2.1.1 Create a DataFrame with house prices, sizes, bedrooms, and bathrooms\n", "\n", "**Task (You):**\n", "5 points\n", "\n", "1. Create a pandas DataFrame with columns price, house_size, bed, and bath using the Tennessee dataset.\n", "2. Display the head results.\n", "3. Variables you must use:\n", " - df\n", "\n", " \n" ] }, { "cell_type": "markdown", "id": "d7b712d9-8247-402e-bf7d-38187e2ecc63", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "- _Why:_ DataFrames are essential for handling and analyzing structured data.\n", "- _How:_ Use pandas to create a DataFrame from the filtered and sorted dataset.\n", "- _Example:_ A DataFrame with house prices, sizes, bedrooms, and bathrooms allows you to easily view and manipulate the data, similar to a spreadsheet.\n", "- _Extra Example:_ Creating a DataFrame with student scores, ages, and study hours allows you to easily analyze the relationship between these variables and performance.\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 2\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 9, "id": "806208a2-2ca1-431b-aa16-e5258ffbe7b6", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-3c63a0649af6d56a", "locked": false, "schema_version": 3, "solution": true, "task": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DataFrame:\n", " price house_size bed bath\n", "0 16500000.0 22743.0 6.0 13.0\n", "1 15000000.0 8938.0 5.0 7.0\n", "2 15000000.0 6996.0 5.0 7.0\n", "3 15000000.0 4160.0 7.0 6.0\n", "4 14500000.0 2766.0 3.0 4.0\n" ] } ], "source": [ "### BEGIN SOLUTION\n", "df = tn_houses[['price', 'house_size', 'bed', 'bath']].copy()\n", "print(\"DataFrame:\\n\", np.round(df.head(),2))\n", "### END SOLUTION" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "1e0a6ba3", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:image.png)\n", "\n", "\n", "**Explanation:**\n", "\n", "In this task, you created a pandas DataFrame using specific columns from the Tennessee housing dataset. The columns included price, house_size, bed, and bath. The result is a DataFrame that allows you to easily view and manipulate data, similar to a spreadsheet. This structured format is essential for conducting further analysis and visualizing data.\n", "\n", "By displaying the head (first few rows) of the DataFrame, you ensure that the DataFrame was created correctly, and you get a glimpse of the data you'll be working with in subsequent tasks.\n", "\n", "**Why is this important?**\n", "\n", "DataFrames are a fundamental data structure in pandas that facilitate data handling and analysis. By creating a DataFrame, you can organize your data in a tabular format with labeled axes (rows and columns), making it easier to perform operations, apply functions, and conduct analysis.\n", "\n", "**Output Explanation:**\n", "\n", "The output shows the first five rows of the DataFrame, confirming that it was successfully created with the correct columns and values from the dataset." ] }, { "cell_type": "markdown", "id": "69532c64-f86a-4193-88d3-f0a7497a137e", "metadata": {}, "source": [ "### 2.1.2 Add a new column price_per_sqft\n", "\n", "**Task (You):** \n", "5 points\n", "\n", "1. Add a new column that calculates the price per square foot.\n", "2. Round the results to 2 significant figures.\n", "3. Display the results.\n", "4. Variables you must use:\n", " - df" ] }, { "cell_type": "markdown", "id": "611fd92c-4fa1-4419-85f4-4a1f547df055", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "- _Why:_ Adding derived columns helps in gaining additional insights from the data.\n", "- _How:_ Perform calculations on DataFrame columns to create the new column.\n", "- _Example:_ Calculating the price per square foot provides a normalized metric to compare houses of different sizes.\n", "- _Extra Example:_ Adding a column for the average score per subject in a student dataset helps you compare performance across different subjects.\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 2\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 10, "id": "a16ca1f2-be93-474b-954d-677742bb02b6", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-c4e292a55e957249", "locked": false, "schema_version": 3, "solution": true, "task": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DataFrame with price per sqft:\n", " price house_size bed bath price_per_sqft\n", "0 16500000.0 22743.0 6.0 13.0 725.50\n", "1 15000000.0 8938.0 5.0 7.0 1678.23\n", "2 15000000.0 6996.0 5.0 7.0 2144.08\n", "3 15000000.0 4160.0 7.0 6.0 3605.77\n", "4 14500000.0 2766.0 3.0 4.0 5242.23\n" ] } ], "source": [ "### BEGIN SOLUTION\n", "df['price_per_sqft'] = df['price'] / df['house_size']\n", "print(\"DataFrame with price per sqft:\\n\", np.round(df.head(),2))\n", "### END SOLUTION" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "3b945312", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:image.png)\n", "\n", "**Explanation:**\n", "\n", "In this step, you added a new column to the DataFrame that calculates the price per square foot for each house. The price per square foot is a key metric in real estate that allows for a more normalized comparison between properties of different sizes. By dividing the house price by its size (in square feet), you can better understand how much buyers are willing to pay per square foot of living space.\n", "\n", "The np.round() function is used to round the results to two significant figures for easier interpretation and to avoid unnecessary precision that might not be meaningful in this context.\n", "\n", "**Why is this important?**\n", "\n", "Adding derived columns, such as price_per_sqft, allows you to gain additional insights from your data. It enables you to make comparisons between properties in a way that accounts for differences in size, providing a clearer picture of the market value per square foot.\n", "\n", "**Output Explanation:**\n", "\n", "The output shows the DataFrame with the newly added price_per_sqft column. Each row now includes the price per square foot for the corresponding house, rounded to two decimal places. This addition enhances the dataset by providing a new metric for analysis." ] }, { "cell_type": "markdown", "id": "e3152a21-2fff-4224-85fb-dad2c0c47f27", "metadata": {}, "source": [ "### 2.1.3 Sort the DataFrame by price_per_sqft\n", "\n", "**Task (You):**\n", "5 points\n", "\n", "1. Sort the DataFrame by the price_per_sqft column from highest to lowest.\n", "2. Round the results to 2 significant figures.\n", "3. Display the results.\n", "4. Variables you must use:\n", " - df_sorted" ] }, { "cell_type": "markdown", "id": "fb742714-9fc7-4907-9db6-257647fe5c0f", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "- _Why:_ Sorting helps in ranking data based on specific criteria, aiding in data analysis.\n", "- _How:_ Use pandas sorting functions to sort the DataFrame.\n", "- _Example:_ Sorting houses by price per square foot helps you identify the most and least expensive properties in terms of cost efficiency.\n", "- _Extra Example:_ Sorting students by their average score per subject helps you identify the top performers in each subject.\n", "\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 2\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 11, "id": "9d23ff3a-54de-4e05-8355-8586a456ebdf", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-fa39e6be2e3025e9", "locked": false, "schema_version": 3, "solution": true, "task": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sorted DataFrame by price per sqft:\n", " price house_size bed bath price_per_sqft\n", "4 14500000.0 2766.0 3.0 4.0 5242.23\n", "3 15000000.0 4160.0 7.0 6.0 3605.77\n", "6 12000000.0 3440.0 4.0 5.0 3488.37\n", "109 3568750.0 1099.0 2.0 1.0 3247.27\n", "116 3500000.0 1196.0 3.0 2.0 2926.42\n" ] } ], "source": [ "### BEGIN SOLUTION\n", "df_sorted = df.sort_values('price_per_sqft', ascending=False)\n", "print(\"Sorted DataFrame by price per sqft:\\n\", np.round(df_sorted.head(),2))\n", "### END SOLUTION" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "d9d37f21", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:image.png)\n", "\n", "**Explanation:**\n", "\n", "Here, you sorted the DataFrame by the price_per_sqft column in descending order. This operation helps you identify which properties have the highest and lowest prices per square foot. Sorting data is a crucial step in data analysis as it allows you to rank and prioritize data based on specific criteria.\n", "\n", "**Why is this important?**\n", "\n", "Sorting by price_per_sqft lets you quickly see which properties are priced the highest on a per-square-foot basis, which might indicate luxury properties, high-demand locations, or other factors that increase the value per unit of space. Conversely, it also reveals properties that offer more space at a lower cost per square foot.\n", "\n", "**Output Explanation:**\n", "\n", "The output displays the DataFrame sorted by price_per_sqft. The top rows show properties with the highest price per square foot, giving you a clear understanding of how much buyers are paying for each square foot of space in the most expensive properties." ] }, { "cell_type": "markdown", "id": "bb5e6973-00ec-48da-bc43-d3c9c8a78cc6", "metadata": {}, "source": [ "\n", "## Task 2.2: Data Analysis\n", "\n", "**Task (You):**\n", "5 points\n", "\n", "1. Calculate the mean, median, and standard deviation of price, house_size, bed, and bath.\n", "2. Round the results to 2 significant figures.\n", "3. Display the results.\n", "4. Variables you must use:\n", " - mean_price\n", " - median_price\n", " - std_price\n", " - mean_size\n", " - median_size\n", " - std_size" ] }, { "cell_type": "markdown", "id": "17a37848-2efd-45af-bf4e-2a3f74b1fb69", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "\n", "- _Why:_ Understanding central tendency and variability is crucial for data analysis.\n", "- _How:_ Use pandas statistical functions to calculate these measures.\n", "- _Example:_ Calculating these statistics for house prices, sizes, bedrooms, and bathrooms helps you understand the average values and the spread of the data.\n", "- _Extra Example:_ Calculating the mean, median, and standard deviation of student scores helps you understand the overall performance and variability in scores.\n", "\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 8\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 12, "id": "35a5982e-fd4c-4561-9f34-826d429de33e", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-d6365ede5d0577c8", "locked": false, "schema_version": 3, "solution": true, "task": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Price: \n", "\tMean: 483885.45 \n", "\tMedian: 347300.0 \n", "\tStd Dev: 602794.85\n", "\n", "House Size: \n", "\tMean: 2124.09 \n", "\tMedian: 1840.0 \n", "\tStd Dev: 1279.69\n" ] } ], "source": [ "### BEGIN SOLUTION\n", "mean_price = df_sorted['price'].mean()\n", "median_price = df_sorted['price'].median()\n", "std_price = df_sorted['price'].std()\n", "\n", "mean_size = df_sorted['house_size'].mean()\n", "median_size = df_sorted['house_size'].median()\n", "std_size = df_sorted['house_size'].std()\n", "\n", "print(\"Price: \\n\\tMean:\", np.round(mean_price,2), \"\\n\\tMedian:\", np.round(median_price,2), \"\\n\\tStd Dev:\", np.round(std_price,2))\n", "print(\"\\nHouse Size: \\n\\tMean:\", np.round(mean_size,2), \"\\n\\tMedian:\", np.round(median_size,2), \"\\n\\tStd Dev:\", np.round(std_size,2))\n", "### END SOLUTION" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "4768e350", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:image.png)\n", "\n", "**Explanation:**\n", "\n", "In this task, you calculated the mean, median, and standard deviation for key variables in the dataset: price, house_size, bed, and bath. These statistical measures provide a summary of the data:\n", "\n", "- Mean: The average value of the dataset, giving you an overall central tendency.\n", "- Median: The middle value, which is less sensitive to outliers and provides a better central tendency measure in skewed distributions.\n", "- Standard Deviation: A measure of the variability or spread in the data. A higher standard deviation indicates that the data points are spread out over a larger range of values.\n", "\n", "**Why is this important?**\n", "\n", "Calculating these statistics is essential for understanding the distribution and characteristics of your dataset. For instance, knowing the average price and size of houses gives you a general idea of the market, while the standard deviation tells you how much variation exists in the prices and sizes.\n", "\n", "**Output Explanation:**\n", "\n", "The output provides the calculated values for each statistic, rounded to two decimal places. This summary gives you a quick overview of the central tendencies and variability in the Tennessee housing market." ] }, { "cell_type": "markdown", "id": "64b9ff2e-bba9-42be-a74f-e05b162be846", "metadata": {}, "source": [ "\n", "# Part 3: Matplotlib Basics\n", "\n", "## Task 3.1: Scatter Plot (Plot house prices vs. house sizes)\n", "\n", "**Task (You):**\n", "20 points\n", " \n", "1. Create a scatter plot of the house prices vs. house sizes.\n", "2. Store the values in a dictionary named `scatter_data`.\n", "3. Display the results.\n", " - title\n", " - x label\n", " - y label\n", " - legend\n", "4. Variables you must use:\n", " - scatter_data (a dictionary)" ] }, { "cell_type": "markdown", "id": "9e2cf74d-b22d-40b3-85bf-08fa57f6860c", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "\n", "- _Why:_ Visualizing data helps in identifying trends and patterns.\n", "- _How:_ Use Matplotlib to create a scatter plot.\n", "- _Example:_ A scatter plot of house prices vs. house sizes can show you how prices vary with the size of the property.\n", "- _Extra Example:_ A scatter plot of student scores vs. study hours can show you how performance varies with the amount of study time.\n", "\n", "Here is the link to the official Python documentation for dictionaries: \n", "\n", "[https://docs.python.org/3/tutorial/datastructures.html#dictionaries](https://docs.python.org/3/tutorial/datastructures.html#dictionaries)\n", "\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 8\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 13, "id": "359a45fc-d3a0-465b-acd8-9d487a3d1273", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-fe98f0d756481163", "locked": false, "schema_version": 3, "solution": true, "task": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### BEGIN SOLUTION\n", "# Store scatter plot data in a variable\n", "scatter_data = {\n", " 'house_size': df_sorted['house_size'],\n", " 'price': df_sorted['price']\n", "}\n", "\n", "# Plotting the scatter plot using the stored data\n", "plt.figure(figsize=(10, 6))\n", "plt.scatter(scatter_data['house_size'], scatter_data['price'], color='#FF8200', label='House Prices')\n", "plt.title(\"House Prices vs. House Sizes in Tennessee\")\n", "plt.xlabel(\"House Size (sqft)\")\n", "plt.ylabel(\"Price\")\n", "plt.legend()\n", "plt.show()\n", "### END SOLUTION" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "c003ab55", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:image.png)\n", "\n", "\n", "**Explanation:**\n", "\n", "This task involves creating a scatter plot to visualize the relationship between house prices and house sizes. A scatter plot is a type of plot that shows individual data points, with one variable plotted on the x-axis and another on the y-axis. In this case, house sizes are plotted on the x-axis and prices on the y-axis.\n", "\n", "The plot is customized with a title, axis labels, and a legend to make it easier to understand and interpret the data.\n", "\n", "**Why is this important?**\n", "\n", "Visualizing data helps you identify trends, patterns, and outliers. In this case, the scatter plot allows you to see if there is a correlation between the size of a house and its price. For example, you might expect larger houses to generally have higher prices, but the scatter plot can reveal how strong or weak this relationship is.\n", "\n", "**Output Explanation:**\n", "\n", "The scatter plot shows the relationship between house sizes and prices in Tennessee. Each point represents a house, with its size on the x-axis and price on the y-axis. The plot might show a general trend where larger houses have higher prices, but the spread of the points can also indicate the variability and other factors influencing prices." ] }, { "cell_type": "markdown", "id": "dba00e38-c340-45ed-a67b-84e5e07134f7", "metadata": {}, "source": [ "\n", "# Part 4: Scikit-Learn Basics\n", "\n", "## Task 4.1: Data Preparation\n", "### 4.1.1 Load the dataset and filter for Tennessee\n", "\n", "**Task (You):**\n", "6 points\n", "\n", "1. Use the already loaded df_sorted for Tennessee houses, making sure to extract the features and target variable. \n", "2. Split the data into 80% training and 20% testing sets.\n", "3. Use the Global RANDOM_STATE already defined at the beginning of the homework.\n", "4. Then print out the shape of each feature and target variable set.\n", "5. Variables you must use:\n", " - X\n", " - y\n", " - X_train, X_test, y_train, y_test\n", " " ] }, { "cell_type": "markdown", "id": "47251c05-3cf2-4585-989d-c3a4dfefa382", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "\n", "- _Why:_ Preparing data is crucial for training machine learning models.\n", "- _How:_ This task teaches how to split data into training and testing sets, which is essential for model evaluation.\n", "- _Example:_ Splitting data ensures that the model is trained on one subset of data and tested on another, which helps in evaluating the model's performance.\n", "- _Extra Example:_ Splitting a dataset of student scores into training and testing sets ensures that a model predicting scores is evaluated on unseen data, giving a better measure of its accuracy.\n", "\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 7\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 14, "id": "2d950399-94bc-4101-967d-5dd79102ad98", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-0476e54716d5bd0f", "locked": false, "schema_version": 3, "solution": true, "task": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X_train shape: (16138, 3)\n", "X_test shape: (4035, 3)\n", "y_train shape: (16138,)\n", "y_test shape: (4035,)\n" ] } ], "source": [ "### BEGIN SOLUTION\n", "# Features and target variable\n", "X = df_sorted[['bed', 'bath', 'house_size']].values\n", "y = df_sorted['price'].values\n", "\n", "# Split the data into training and testing sets (80% training, 20% testing)\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=RANDOM_STATE)\n", "\n", "print(\"X_train shape:\", X_train.shape)\n", "print(\"X_test shape:\", X_test.shape)\n", "print(\"y_train shape:\", y_train.shape)\n", "print(\"y_test shape:\", y_test.shape)\n", "### END SOLUTION" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "1bb6d4dd", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:image.png)\n", "\n", "\n", "**Explanation:**\n", "\n", "In this task, you prepared the data for machine learning by splitting it into training and testing sets. The training set is used to train the model, while the testing set is used to evaluate its performance. The split is typically done to ensure that the model is trained on one subset of data and tested on another, which helps in assessing how well the model generalizes to unseen data.\n", "\n", "**Why is this important?**\n", "\n", "Splitting the data is a critical step in the machine learning workflow. It ensures that the model's performance is evaluated on data that it hasn't seen during training, which provides a more realistic measure of its accuracy and generalization ability.\n", "\n", "**Output Explanation:**\n", "\n", "The output shows the shapes of the training and testing sets, confirming that the data was split correctly. The number of samples in each set reflects the 80-20 split, with 80% of the data used for training and 20% for testing." ] }, { "cell_type": "markdown", "id": "21635ea0-f091-4901-a5d9-093a669dd629", "metadata": {}, "source": [ "### 4.1.2 Scale the feature data\n", "\n", "**Task (You):** \n", "6 points\n", "\n", "1. Scale the feature data using StandardScaler to ensure all features contribute equally to the model.\n", "2. Variables you must use:\n", " - scaler\n", " - X_train_scaled\n", " - X_test_scaled" ] }, { "cell_type": "markdown", "id": "ea645cdc", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "- _Why:_ Scaling ensures that the features contribute equally to the model, improving performance.\n", "- _How:_ Use sklearn's StandardScaler to standardize features.\n", "- _Example:_ Scaling features like house size and number of bedrooms ensures that no single feature dominates the model due to its larger values.\n", "- _Extra Example:_ Scaling features like student age and study hours ensures that both features contribute equally to a model predicting scores.\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 3\n", "'''\n", "```\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 15, "id": "1bf12398-513b-4f3d-8376-8a48ab4cbe67", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-c9946cc5023a2627", "locked": false, "schema_version": 3, "solution": true, "task": false } }, "outputs": [], "source": [ "### BEGIN SOLUTION\n", "scaler = StandardScaler()\n", "X_train_scaled = scaler.fit_transform(X_train)\n", "X_test_scaled = scaler.transform(X_test)\n", "### END SOLUTION" ] }, { "cell_type": "markdown", "id": "0681ba2e-affa-41eb-b09e-78bfbc317420", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Explanation:**\n", "\n", "In this step, you scaled the feature data using StandardScaler. Scaling is necessary because different features (e.g., house size, number of bedrooms) might have different ranges, and without scaling, features with larger ranges could disproportionately influence the model. StandardScaler standardizes the data so that each feature has a mean of 0 and a standard deviation of 1, ensuring that all features contribute equally to the model.\n", "\n", "**Why is this important?**\n", "\n", "Scaling the data is crucial for many machine learning algorithms, including K-Nearest Neighbors (KNN), which are sensitive to the magnitude of the input features. By standardizing the data, you ensure that the algorithm treats all features equally, improving model performance.\n", "\n", "**Output Explanation:**\n", "\n", "While there isn't a direct output shown here, the result of this step is that the feature data (X_train and X_test) is now standardized and ready for use in training and evaluating the machine learning model." ] }, { "cell_type": "markdown", "id": "c3758d7d-4686-474e-ab0c-cd793c6ecd7f", "metadata": {}, "source": [ "\n", "## Task 4.2: Model Training and Evaluation\n", "#### 4.2.1 Train a K-Nearest Neighbors Regressor\n", "\n", "**Task:** \n", "\n", "1. Create and train a K-Nearest Neighbors Regressor using the scaled training data.\n", "2. Test the n values for 1, 3, 5, 10, 50, 100, 110.\n", "3. Output the R^2 score for all n values.\n", "4. Identify the best n value score.\n", "5. Round the results to 2 significant figures.\n", "6. Variables used:\n", " - n_neighbors_list\n", " - best_r2\n", " - best_k\n", " - best_model\n", " - knn\n", " - y_pred\n", " - r2" ] }, { "cell_type": "markdown", "id": "16ceb67a-4681-46e7-af50-9988e1c40ad1", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "- _Why:_ Training a regression model helps in understanding machine learning concepts and the application of algorithms to predict continuous values.\n", "- _How:_ Use sklearn to create and train a K-Nearest Neighbors Regressor.\n", "- _Example:_ Training a K-Nearest Neighbors Regressor on house data can help predict house prices based on the features of similar houses in the dataset.\n", "- _Extra Example:_ Training a K-Nearest Neighbors Regressor on student scores can help predict a student's score based on the study hours, age, and other features.\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 10 \n", "''' \n", "``` \n", "\n", "* The highest Accuracy does not also mean that it is the best choice. Think about both performance and computational efficiency.\n", "
\n", " " ] }, { "cell_type": "code", "execution_count": 16, "id": "0da68911-d68b-4654-9371-b4dc28d60d1e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n_neighbors: 1, R^2 Score: 0.13\n", "n_neighbors: 3, R^2 Score: 0.37\n", "n_neighbors: 5, R^2 Score: 0.43\n", "n_neighbors: 10, R^2 Score: 0.45\n", "n_neighbors: 50, R^2 Score: 0.46\n", "n_neighbors: 100, R^2 Score: 0.46\n", "n_neighbors: 150, R^2 Score: 0.45\n" ] } ], "source": [ "# Define the values for n_neighbors to be tested\n", "n_neighbors_list = [1, 3, 5, 10, 50, 100, 150]\n", "best_r2 = -float('inf')\n", "best_k = None\n", "\n", "# Iterate over each value of n_neighbors\n", "for k in n_neighbors_list:\n", "\n", " # Create and train the KNN\n", " knn = KNeighborsRegressor(n_neighbors=k)\n", " knn.fit(X_train_scaled, y_train)\n", "\n", " # Make predictions on the test set\n", " y_pred = knn.predict(X_test_scaled)\n", " \n", " # Calculate the R^2 score\n", " r2 = r2_score(y_test, y_pred)\n", " \n", " # Print the R^2 score for the current value of n_neighbors\n", " print(f\"n_neighbors: {k}, R^2 Score: {r2:.2f}\")" ] }, { "attachments": { "a6614475-d082-496b-9783-87230427d4e9.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "60a858e5-4e33-4b20-a497-66434f45ca34", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "\n", "![image.png](attachment:a6614475-d082-496b-9783-87230427d4e9.png)\n", "\n", "**Explanation:**\n", "\n", "In this task, you trained a K-Nearest Neighbors (KNN) Regressor using the scaled training data, evaluating several k values to determine which provided the best model performance. The KNN algorithm predicts the target variable by averaging the target values of the k nearest neighbors.\n", "\n", "While the R² score is an important metric to assess how well the model fits the data, it's essential to consider not just the highest score but also the balance between model performance and computational efficiency. Although a higher k like 100 might yield a slightly better R² score, the computational cost and potential for over-smoothing might outweigh the benefits.\n", "\n", "After testing, you find that k=10 offers the best balance between accuracy and efficiency. It provides a strong R² score while keeping the model computationally manageable and avoiding overfitting that might occur with lower k values.\n", "\n", "**Why is this important?**\n", "\n", "Choosing the right k value is critical because it directly affects the model's ability to generalize to new data. A value of k=10 strikes a good balance by providing a model that is accurate without being overly complex or computationally expensive. This approach ensures that the model remains practical for real-world applications where both performance and efficiency are crucial.\n", "\n", "**Output Explanation:**\n", "\n", "The output displays the R² scores for different k values, showing how the performance changes as k increases. While k=100 might yield a marginally better R² score, k=10 is chosen as the best value because it balances good model performance with computational efficiency, making it the most practical choice." ] }, { "cell_type": "markdown", "id": "b707ef58-8bb5-473d-b7cb-b490bc953dfb", "metadata": {}, "source": [ "#### 4.2.2 Make predictions and evaluate the K-Nearest Neighbors Regressor\n", "\n", "**Task:** \n", "\n", "\n", "1. Make predictions on the test set using the trained kNN and calculate the model's mean squared error and R^2 score.\n", "2. Round the results to 2 significant figures.\n", "3. Variables used:\n", " - best_k\n", " - best_model\n", " - y_pred\n", " - mse_knn\n", " - r2_knn" ] }, { "cell_type": "markdown", "id": "e21aab57-b63f-44f8-9b0f-ea0a515385fb", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "\n", "- _Why:_ Evaluating a model's performance is essential to ensure its effectiveness. The MSE provides information on the average magnitude of errors in predictions, while the $R^2$ score indicates how well the model explains the variability of the target variable.\n", "- _How:_ Use sklearn's mean_squared_error, r2_score to evaluate the model.\n", "- _Example:_ Making predictions on test data and checking the mean squared error and $R^2$ score shows how well the model performs on unseen data.\n", "- _Extra Example:_ Making predictions on test scores and checking the mean squared error and $R^2$ score shows how well a model predicts student performance on new exams.\n", "\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 6\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 17, "id": "9b1392a4-4714-45d5-be7c-bc6d9b565e5c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean Squared Error: 194,838,918,670.54\n", "R^2 Score: 0.45\n" ] } ], "source": [ "best_k = 10\n", "\n", "best_model = KNeighborsRegressor(n_neighbors=best_k)\n", "best_model.fit(X_train_scaled, y_train)\n", "y_pred = best_model.predict(X_test_scaled)\n", "mse_knn = mean_squared_error(y_test, y_pred)\n", "r2_knn = r2_score(y_test, y_pred)\n", "\n", "print(f\"Mean Squared Error: {mse_knn:,.2f}\")\n", "print(f\"R^2 Score: {r2_knn:.2f}\")" ] }, { "attachments": { "088e0770-855b-4b9a-8db5-e8e446297913.png": { "image/png": "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" } }, "cell_type": "markdown", "id": "6b5939fa", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:088e0770-855b-4b9a-8db5-e8e446297913.png)\n", "\n", "\n", "**Explanation:**\n", "\n", "In this task, you evaluated the performance of the K-Nearest Neighbors (KNN) model using k=10, which was determined to be the best balance between accuracy and computational efficiency. You calculated two important metrics: the Mean Squared Error (MSE) and the R² score.\n", "\n", "- Mean Squared Error (MSE): This metric measures the average squared difference between the predicted values and the actual values. It provides a clear indication of how far the model's predictions are from the true values, with lower MSE values indicating better model performance. MSE is particularly useful because it penalizes larger errors more than smaller ones, making it sensitive to outliers.\n", "\n", "- R² Score: This metric indicates the proportion of the variance in the dependent variable (house prices) that is predictable from the independent variables (bedrooms, bathrooms, house size). An R² score closer to 1 suggests that the model explains most of the variability in the target variable, while a score closer to 0 indicates that the model does not explain much of the variability.\n", "\n", "**Output Explanation:**\n", "\n", "- Mean Squared Error (MSE): The output shows an MSE of approximately $198,247,599,787.54. This large number might seem overwhelming, but it's important to consider the scale of the target variable (house prices). Given that house prices can range from tens of thousands to millions of dollars, the MSE reflects the magnitude of the errors in the context of the dataset. A lower MSE is preferable, as it indicates that the model's predictions are closer to the actual values. However, it is also crucial to interpret this metric in the context of the overall model performance and the nature of the data.\n", "\n", "- R² Score: The output also shows an R² score of 0.44. This indicates that the model explains 44% of the variance in house prices based on the input features (number of bedrooms, bathrooms, and house size). While this is a moderate fit, it suggests that there is room for improvement, perhaps by incorporating additional features or exploring different modeling techniques. However, for the purposes of this exercise, k=10 was chosen because it offers a reasonable balance between model accuracy and computational efficiency, as discussed in Task 4.2.1.\n", "\n", "**Why is this important?**\n", "\n", "Evaluating both the MSE and R² score provides a comprehensive understanding of the model's performance:\n", "\n", "The MSE helps you understand the average prediction error in absolute terms, which is crucial for assessing whether the model's predictions are acceptable for the specific application.\n", "The R² score offers insight into how well the model explains the variability in the target variable, which is important for understanding the model's effectiveness." ] }, { "cell_type": "markdown", "id": "95e1f95c-2dc3-49e9-a1c7-26814adcf386", "metadata": {}, "source": [ "#### 4.2.3 Plot predictions vs. actual values\n", "\n", "**Task (You):** \n", "8 points\n", "\n", "1. Create a scatter plot to compare the predicted and actual house prices.\n", "2. Display the line plot data.\n", "3. Store the values in in a dictionary named `scatter_data`.\n", "4. Display the predicted point on the plot.\n", "5. Predict the price of a house with 2 bedrooms, 1 bathrooms, 1200 sqft using the trained KNN model.\n", "6. Output the predicted price.\n", "7. Round the results to 2 significant figures.\n", "8. Variables you must use:\n", " - scatter_data (Dictionary)\n", " - avg_house\n", " - avg_house_scaled\n", " - predicted_price\n", " - predicted_price_value\n", " - line_plot_data (Dictionary)" ] }, { "cell_type": "markdown", "id": "46aa76ba-fb32-4416-ba58-e75eb5b5d2da", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "\n", "- _Why:_ Visualizing predictions vs. actual values helps in understanding how well the model is performing.\n", "- _How:_ Use Matplotlib to create a scatter plot and make predictions using the trained model.\n", "- _Example:_ A scatter plot of predicted vs. actual house prices can show you how close the predictions are to the actual values.\n", "- _Extra Example:_ A scatter plot of predicted vs. actual student scores can show how accurately the model predicts scores.\n", "\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 49\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 20, "id": "e2989cbd-921e-4862-b1eb-315d25ed0498", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-82c5d048db113b0d", "locked": false, "schema_version": 3, "solution": true, "task": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Predicted price: $241,740.00\n" ] }, { "data": { "image/png": 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", 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", 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vXeXKlfHjjz+ibdu2+PXXX3XKNW3aFFWqVDF5LbVajU2bNqF9+/aoXbu23nnNMxcqt5A6IAhCFzIrJQg3ZtGiRZg8eTJatWqFQ4cOoWLFigAAlUql9RXREBISop085eejjz7C8uXLMXPmTIN+HDdu3ADHcahQoYJBGQoVKqT9f3JyMj755BNs2bJFz0cwLS1N528PDw+t/1r+e6WlpSE0NNTgvR48eACAn6R07doVn3/+Ob7//ns0a9YMnTp1Qu/eveHl5WXwu5YyYcIEfP/99/jss8+wefNmvfM3btwAALz11lsGv69UKo1e+9atW5DL5ShTpozO8fLlyxv9TqlSpXT+Dg4OBgA8efJE516GntNrr72GjIwMbZvIyMjQtpX8VK5cGWq1Gv/99x+qVq2qPV5QTgCYNWsWBgwYgIiICNSqVQtt2rRB//79dRROS/H29sbWrVsBQOunVLCNGJPnxo0bOH/+vNbXtCCatnPr1i0UL15cLy2JofooSGJiIuRyudkJsjGcISMAvPHGG6hUqRLWrl2LIUOGAOBNSosUKaLTXq19hiqVCmvWrEHz5s2RlJSkPV6vXj3MmTMH+/btQ3R0NAC+zrp27SpIbltZtmwZ5syZg6tXr+osGhlqL0KpUKECWrRooXf88OHDOn/funULgOFnVKlSJb3yQhg9ejT++OMPtG7dGiVLlkR0dDS6d++uE4laaJsyRWRkJJYsWaJNcVShQgWDfbCQenz48CHS09PNpkMSKreQOiAIQhdSDgnCjalSpQr+/PNPvP3222jZsiWOHDmCiIgI/Pfff3oD+YEDBwwGQShbtiz69u2LxYsXY+rUqXrn1Wo1ZDIZduzYobd7BEA7gVWpVGjZsiVSU1Px/vvvo1KlSvDz88OdO3cwcOBAvSADXl5eersvarUaoaGhRgNbaCYSMpkM69evx7Fjx7B161bs2rULgwcPxpw5c3Ds2DG75CPU7B5+9tlnBncPNb9n+fLlCAsL0ztv7+h9huoe4P3THE3+HWEN3bt3R+PGjbFx40bs3r0bs2fPxjfffIO4uDhB0XINoVAoDE7EhcijVqvRsmVLvPfeewa/89prr1klkz1xpow9evTA119/jUePHiEgIABbtmxBr169dNqltc9w//79uHfvHtasWYM1a9bonV+5cqVWObQVY7uLKpVK551YsWIFBg4ciE6dOmHKlCkIDQ2FQqHAjBkztH6rrCCTyQy+t/l3XAEgNDQUZ8+exa5du7Bjxw7s2LEDS5cuRf/+/bUBh+zRpvz8/Kx+76xFqNxC6oAgCF1IOSQIN6du3brYtGkT2rZti5YtW+LQoUMICwvTM8N54403jF7jo48+wooVK/SCmwBAuXLlwHEcypQpY3KiceHCBVy/fh3Lli1D//79tcctMQcqV64c9u7di4YNGwqaiNSvXx/169fH119/jVWrVqFPnz5Ys2YNhg4daheTtYkTJ2Lu3Ln4/PPP9YJJlCtXDgA/eREyscpP6dKloVarkZSUpLPTZ22euPxodjTzc/36dfj6+mqVa19fX1y7dk2v3NWrVyGXywWbKRcvXhyjR4/G6NGj8eDBA7z55pv4+uuvrVYObaFcuXJ4/vy52WdRunRp7Nu3D8+fP9dZRDBUH4buoVarcfnyZZMBToy1PWfIqKFHjx74/PPPsWHDBhQrVgzp6eno2bOnXjlrnuHKlSsRGhqKn376Se9cXFwcNm7ciNjYWPj4+KBcuXK4ePGiSVlNvavBwcEGo7TeunVLZ4dz/fr1KFu2LOLi4nSu9+mnn5q8t70oXbo0AP4ZFbQmuHbtmvY8wP+mf//9V+8amt3H/Hh6eqJ9+/Zo37491Go1Ro8ejUWLFuHjjz9G+fLlBbcpZ1G0aFEolUqzz9wSuc3VAUEQupDPIUEQePvtt7F69Wr8888/aNWqFXJyctCiRQudfxozREOUK1cOffv2xaJFi5CSkqJzrkuXLlAoFPj888/1Vrs5jsPjx48BvNrZyl+G4ziLQo53794dKpUKX375pd65vLw87STxyZMnerJoJuvZ2dkAoI1+KiT8vzE0u4ebN2/WS9AdExMDpVKJ6dOnG/R7LGjWW/C7AJ8sPT8//vij1bJqSEhI0PGx+u+//7B582ZER0dDoVBAoVAgOjoamzdv1qaHAHj/1VWrVqFRo0YmTWIBfoejoJlwaGgoSpQooa1/wPZUFpbQvXt3JCQkYNeuXXrnnj59iry8PABAmzZtkJeXh4ULF2rPq1QqQXXfqVMnyOVyfPHFF3o74fnbo5+fn8F25wwZNVSuXBmvv/461q5di7Vr16J48eJo0qSJzvWEPMOCZGZmIi4uDu3atUO3bt30/o0dOxbPnj3Dli1bAABdu3bFuXPn9PxGgVd15ufnp62DgpQrVw7Hjh3TSYGwbds2vTQ6hvqfv//+GwkJCUZ/iz2pXbs2QkNDERsbq1N/O3bswJUrV3QiEZcrVw5Xr17V6SPOnTuHI0eO6FxT07dqkMvl2ojLmnsIbVPOQi6Xo1OnTti6dStOnjypd17zfITKLaQOCILQhXYOCYIAAHTu3BlLlizB4MGD0aFDB+zcudOiBN4ffvghli9fjmvXrun4m5UrVw5fffUVpk2bhps3b6JTp04ICAhAUlISNm7ciOHDh+Pdd99FpUqVUK5cObz77ru4c+cOlEolNmzYoOd7aIqmTZtixIgRmDFjBs6ePYvo6GgUKlQIN27cwLp16/DDDz+gW7duWLZsGRYsWIDOnTujXLlyePbsGZYsWQKlUok2bdoA4E2gqlSpgrVr1+K1115DSEgIqlWrZtYXpiAa38Nz585pJ7EA71O4cOFC9OvXD2+++SZ69uyJokWLIjk5Gdu3b0fDhg0xf/58g9esVasWunbtirlz5+Lx48faVBbXr18HYFugjmrVqiEmJkYnlQXAp2DQ8NVXX2HPnj1o1KgRRo8eDQ8PDyxatAjZ2dmYNWuW2Xs8e/YM4eHh6NatG9544w34+/tj7969OHHiBObMmaMtZ49UFkKZMmUKtmzZgnbt2mHgwIGoVasWXrx4gQsXLmD9+vW4efMmihQpgvbt26Nhw4aYOnUqbt68iSpVqiAuLk5PUTJE+fLl8eGHH+LLL79E48aN0aVLF3h5eeHEiRMoUaIEZsyYAYB/vgsXLsRXX32F8uXLIzQ0FG+99ZZTZMxPjx498Mknn8Db2xtDhgzRMeMW+gwLsmXLFjx79gwdOnQweL5+/fooWrQoVq5ciR49emDKlClYv3493nnnHQwePBi1atVCamoqtmzZgtjYWLzxxhsoV64cgoKCEBsbi4CAAPj5+aFevXooU6YMhg4divXr16NVq1bo3r07EhMTsWLFCu3OvYZ27dohLi4OnTt3Rtu2bZGUlITY2FhUqVIFz58/t6jerKFQoUL45ptvMGjQIDRt2hS9evXSprKIjIzEpEmTtGUHDx6M7777DjExMRgyZAgePHiA2NhYVK1aVScY1NChQ5Gamoq33noL4eHhuHXrFn788UfUqFEDlStXBiC83TuT6dOnY/fu3WjatCmGDx+OypUr4969e1i3bh0OHz6MoKAgwXILqQOCIAogQoRUgiBEJn86ioJ8++23HACuXbt2XG5urkXf1aSYyJ/KQsOGDRu4Ro0acX5+fpyfnx9XqVIlbsyYMdy1a9e0ZS5fvsy1aNGC8/f354oUKcINGzaMO3funF6Y+oJpIQqyePFirlatWpyPjw8XEBDAvf7669x7773H3b17l+M4jjt9+jTXq1cvrlSpUpyXlxcXGhrKtWvXTieFA8dx3NGjR7latWpxnp6eZsPX509lURBNSgNDMh84cICLiYnhAgMDOW9vb65cuXLcwIEDdWQpmBKB4zjuxYsX3JgxY7iQkBDO39+f69SpE3ft2jUOADdz5ky972pC5mvQPMekpCTtMQDcmDFjuBUrVnAVKlTgvLy8uJo1a3IHDhzQk/v06dNcTEwM5+/vz/n6+nLNmzfnjh49avAeBdtKdnY2N2XKFO6NN97gAgICOD8/P+6NN97gFixYYLBOLUllYY7SpUtzbdu2NXju2bNn3LRp07jy5ctznp6eXJEiRbgGDRpw3377LZeTk6Mt9/jxY65fv36cUqnkAgMDuX79+nFnzpwxm8pCw6+//srVrFmT8/Ly4oKDg7mmTZtqUzpwHJ/OpG3btlxAQAAHQCdtgb1lNMWNGze0KRcOHz6sc07oMyxI+/btOW9vb+7FixdGywwcOJArVKgQ9+jRI+1vGTt2LFeyZEnO09OTCw8P5wYMGKA9z3Ect3nzZq5KlSqch4eH3m+cM2cOV7JkSc7Ly4tr2LAhd/LkSb10EGq1mps+fTpXunRpbbvftm2bXnoIjrMslcXs2bMNnjf2Xq5du1bbNkJCQrg+ffpwt2/f1vv+ihUruLJly3Kenp5cjRo1uF27dunJun79ei46OpoLDQ3lPD09uVKlSnEjRozg7t27p3MtoW3KEAVTFxlD07cYO1ewPm/dusX179+fK1q0KOfl5cWVLVuWGzNmjE66ESFyC60DgiBeIeM4J0QjIAiCIBzO2bNnUbNmTaxYsQJ9+vQRWxyCIAiCICQG+RwSBEFIkMzMTL1jc+fOhVwu1/ENIwiCIAiCEAr5HBIEQUiQWbNm4dSpU2jevDk8PDy0YdqHDx8uOFooQRAEQRBEfsislCAIQoLs2bMHn3/+OS5fvoznz5+jVKlS6NevHz788EO750gkCIIgCMI9ENWsdOHChahevTqUSiWUSiWioqKwY8cO7fmsrCyMGTMGhQsXhr+/P7p27Yr79+/rXCM5ORlt27aFr68vQkNDMWXKFL3Qy/Hx8XjzzTfh5eWF8uXL47ffftOT5aeffkJkZCS8vb1Rr149HD9+XOe8EFkIgiCcRcuWLXH48GGkpqYiJycH//zzDz799FNSDAmCIAiCsBpRlcPw8HDMnDkTp06dwsmTJ/HWW2+hY8eOuHTpEgBg0qRJ2Lp1K9atW4eDBw/i7t276NKli/b7KpUKbdu2RU5ODo4ePYply5bht99+wyeffKItk5SUhLZt26J58+Y4e/YsJk6ciKFDh+rkxlm7di0mT56MTz/9FKdPn8Ybb7yBmJgYPHjwQFvGnCwEQRAEQRAEQRBShjmz0pCQEMyePRvdunVD0aJFsWrVKnTr1g0AcPXqVVSuXBkJCQmoX78+duzYgXbt2uHu3bsoVqwYACA2Nhbvv/8+Hj58CE9PT7z//vvYvn07Ll68qL1Hz5498fTpU+zcuRMAUK9ePdSpU0ebU0ytViMiIgLjxo3D1KlTkZaWZlYWgiAIgiAIgiAIKcOM/ZFKpcK6devw4sULREVF4dSpU8jNzUWLFi20ZSpVqoRSpUppFbKEhAS8/vrrWsUQAGJiYjBq1ChcunQJNWvWREJCgs41NGUmTpwIAMjJycGpU6cwbdo07Xm5XI4WLVogISEBAATJYojs7GxkZ2dr/1ar1UhNTUXhwoVtSlJNEARBEARBEIS04TgOz549Q4kSJSCXs5FEQnTl8MKFC4iKikJWVhb8/f2xceNGVKlSBWfPnoWnpyeCgoJ0yhcrVgwpKSkAgJSUFB3FUHNec85UmfT0dGRmZuLJkydQqVQGy1y9elV7DXOyGGLGjBn4/PPPhVUEQRAEQRAEQRBux3///Yfw8HCxxQDAgHJYsWJFnD17FmlpaVi/fj0GDBiAgwcPii2WXZg2bRomT56s/TstLQ2lSpXCf//9B6VSKaJkDHBtC7Cpn/HznZYDFTs4Tx6CIAhCPNQq4L+jwIsUwC8MiGgAyBXCv09jCkEI59oWYN/7wLO7r44pSwJvzaT3xBZuHQLWtDNb7GHMakz6dhXKlCmD7t27o1GjRggICHCCgMIQXTn09PRE+fLlAQC1atXCiRMn8MMPP6BHjx7IycnB06dPdXbs7t+/j7CwMABAWFiYXlRRTQTR/GUKRhW9f/8+lEolfHx8oFAooFAoDJbJfw1zshjCy8sLXl5eesc10Vndmjp9AX9fYNcE4NntV8eVEUD0XKAyBfshCIJwK4LaWv9dGlMIQjh1+gK1egHJh4Dn9wD/4kCpxpYtyBD6VG0FFA0Hnt0B8Cqky4NsH/z9pBjah90ClOFQNnoH80rVR+nSpfHs2TMAYMrdTHTlsCBqtRrZ2dmoVasWChUqhH379qFr164AgGvXriE5ORlRUVEAgKioKHz99dd48OABQkNDAfC5v5RKJapUqaIt8+eff+rcY8+ePdpreHp6olatWti3bx86deqklWHfvn0YO3YsAAiShbCCyl2Aih2pcyIIgiBsh8YUghCOXAFENhNbCtdCrgBifgDWdwMgQ45ahrh7ZbHubnlkqxUo45uOat3mAnIFIiMjRRbWOKIqh9OmTUPr1q1RqlQpPHv2DKtWrUJ8fDx27dqFwMBADBkyBJMnT0ZISAiUSiXGjRuHqKgobQCY6OhoVKlSBf369cOsWbOQkpKCjz76CGPGjNHu2I0cORLz58/He++9h8GDB2P//v34448/sH37dq0ckydPxoABA1C7dm3UrVsXc+fOxYsXLzBo0CAAECQLYSXUOREEQRD2gsYUgiDEpHIXoNt6nFj5ERZfKYZ72X4AgGrBzxHYdrYkrBhEVQ4fPHiA/v374969ewgMDET16tWxa9cutGzZEgDw/fffQy6Xo2vXrsjOzkZMTAwWLFig/b5CocC2bdswatQoREVFwc/PDwMGDMAXX3yhLVOmTBls374dkyZNwg8//IDw8HD8/PPPiImJ0Zbp0aMHHj58iE8++QQpKSmoUaMGdu7cqROkxpwsBEFIGLWKdhuswZH1Rs+EIAiCkBgpKSlY9McFnDhbFgAQovTBkC5vo0nnoZApmDPYNAhzeQ5dmfT0dAQGBiItLY18DoVAk0PCGVyJ0/dTCgjnTUMksMInGo6sN3omBEFIDXees7jzb8+HSqXC8OHDcf/+fSgUCnTs2BE9e/aEr6+v4S+oVUi/tBOB1dsxpRuQcuhESDm0AJocEs7gStxL34CC3eBLx/Bu66m9GcKR9UbPhCAIqeHOcxZ3/u3g8xQCrwLKHDhwAPv27cOIESMQERFh/Isv6y394W0ETgdTugEph06ElEOB0OTQNmgFTxhqFTAvUndA00EGKMOBcUlUf/lxZL3RMyEIQmq485zFnX87gDt37mDx4sVo1qwZmjdvDkBfWTTIlThgPR/gMj0LzCmHcrEFIAgd1Cp+BUqvo8GrY7sn8uUIfa7E8ZPr5c2Bjb35z3mR/HFCl+RDJpQQAOCA9P/4csQrHFlv9EwIgpAS7jxncePfnpWVhWXLlmHMmDE4deoUli9fDpWK/50ymcy0YqhWAduHO0lS65CGZyThPlgyOaSIdLoYW8F7doc/7uIreBbz/J59y7kLjqw3eiYEQTgbW6xt3HnO4ojf7izLJyvvw3Ecjhw5gp9//hmPHj0CwKe7Gz58OBQKgXLeigcyH9sgvOMh5ZBgC5ocWofZFTwZv4JXsSOZ42nwL27fcu6CI+uNnglBEM7EVn85d56z2Pu3O8t30cr73L59GwsXLsS5c+cAAMWKFcOwYcNQr149yxLY34y3UnDnQWalBFvQ5NA6yBzPcko15gcEGOvUZYAygi9HvMKR9UbPhCAIZ6Gxtik4dmqsbYS4Y7jznMWev90ez0IINtwnLS0N586dQ6FChdCrVy8sWLAA9evXt0wxlAikHBJsQZND63Dn1UtrkSv4lUIA+u3t5d/Rc2mntSCOrDd6JoQUUav43YCLq/lPF/Sxcjns5S/nqDmLsTbFSltTqwBOBXiHmCiU77ebktuaZ2FNPVh4H47jcOvWLW2JqlWrYsSIEVi4cCH69OkDLy8v8/c0ROlm1n3PiZBZKcEWmsnh+m7gO9v8LzFNDo3izquXtlC5C++LWdDERBnOtzPy0TSMI+uNngkhJdw8jL9ksZe/nCPmLMbaVLVevDIkdlszJJ8e+X77tc2m3xFLn4W175wF97mJSMTGxuL69etYuHAhihUrBgBo3769ie8LJLIZ4F0YyGLX75BSWTgRSmVhAYZefmUETQ6NoU0BcAeGV8UoBYBJKP2HdTiy3uiZEKzj5mH8Jc3F1XxEb3N0XsUrZeaw15zFaJsyhpPbmlD5NL8dMP+OqLKFPwuFl/XvnIBn/iLPAyu9x2Nbwg2o1Wp4eXlh8uTJaNiwoXn5LGHve0DCbABsprKgnUMxuHUIqNqKJjqmqNyFD55Ck0Nh0I6rbcgVrhdJzhk4st7omRAsQ0HApI29rW3sMWcx2aaM4cS2JkQ+n8JAl7Wv+u55kUbK55O7w1Jh9/cLBTYPNH89Y/Vg4lmqOeDAo5JYmlwZT/OuAQAaNGiAoUOHIjQ0VJh8QrkSByR8a99r2hlSDsVgTTugKJmdmIXVyaG5HQ2xdjzIHI8gCFZxtZ1gd05h4ApofAXNWdtY4ito65zFbJsyhpPamhD5Mh/z9SBX8L6AQt4RDsKeBQfb3jkjz1zNAR9frYdz6UUAAOElS2LEyJGoWbOm6d9qDVYtADgfUg7FgqXcc642aDsSc7buYvuf0I6rddA7QDgLd2xrYveLjsBZQcDcsb04AxatbWxtK44OOGdpmxdaPuOBsGeR8cA2OY08c7kMqBzwBNeeB6Fnq/roOOxDFCpUSNi9LMXqBQDnQsqhaDBiduKKg7ajMJdkPurdl6YCIiehZ3XHlVXoHSCchTu2NXP9JgsLpNbgjCBg7thenAlr1ja2BoxzdMA5S9u8JeUjm5l/FkLzA5q6b+UuUHdZhz2/fYFIeTIq+j8FAHSrmIVWA/ugSFQ/Yfewlmd3HHt9O0EBaZyINiDNB4DSO9+JfgfEmcyTM71wtAFfTKz4yBR8aGfDJykgDIvQO0A4AkO7Pdc2u19bM9tvSrhfdHQQMHv0TbTrKAxW6slsmzKGk94jS9u8Ne+IqWdhh3dOE330xo0bKB9RDHNGvQWFsqTznvmxucCeSTqHKCANYRgxcs+RM71lCDEFMKoYAuR/wiD0DhCOwNBuj39JQJUFt2trruyX50izRHv0TbTrKBxWrG1MtiljONEE1tI2b807YupZ2PDOpaWl4ffff8fu3bvBcRx8fHzQLKY9ULU9oHBin+tX1Hn3sgG52AIQECf3nCWDNmE/BZ6S0LMDvQOEvdHs9hRsV8/v8IEajOKibc1ZfnlioTFLDCipe1wZbttOsK19k7F2+Ow2f/zyOjYSqRP6GG1TEUDUFF7B1zmer62ZSzRv6zNXqwCfEKDuBMC3iHE5BP0eK98RC6+nUqnw559/YsSIEdi1axc4jkPz5s2xaNEidOrUCQpHK4YF690/zLH3sxO0cygqVkTDsheuPmjbG3sp8JSEnh3oHSDsiT2i0LlaW3OGX57YOCIImC19k9l2yAFxvXQtXWhHkS1Mtam3Zhg+bmqnGLB9F9nQ9X2KAK/35WU11ebt/Y5YcL2EhAQsWLAAABAZGYlRo0ahatWq1t3XUgzVmV8JCN8VFg9SDkWFEy/3nDsM2vakVGO+I8x8ZOUFRFwIIAxD7wBhT+wRhc7V2poj0gWwiL3NEm3pm6xxgZB6cCBXxFibMnTcZNCnroavb8kzN3b9zMfA8R+EKXr2fkdMXE+tVkMu5w0jGzRogFq1aqF27dpo06aN43cKNRirsxd3nXN/GyGzUjHxKcyvfoiBZtDW2GnrIePNGKQ+aNsLuQJ4vY+VX6Yk9ExC7wBhT2za9XPRtqbxEQKg/55Rv2gUW/omq6IhvpzA7p5IJqZSw6x/qjEEPnMh12ek3ahUKmzZsgXjxo1DZmYmAEAul+Ozzz5D+/btnacYSiSXoSlIORSTzMfi+ZjQoG05gZHCynkWiDZlq/8J4RjoHSDsidW7fi7e1hzll+fK2NI3vXho5U1d1O/V1bHJYkHAM5eIb/7FixcxYcIELF68GLdu3cLu3bu152QyY4ssDkIiuQxNQWalYiOmjwlrOX5YR2iUqdbz+VVdscNiE+ahd4CwF0JMKH1CAA8f92trjvDLc3Ws7ZtsjYboan6vro49npepazDum//48WMsXboU8fHxAICAgAD0798f0dHRosgDwCXeIVIOxUZsHxMatIVTcOXbGMoINsJiswYruaQKQu8AYQ+EhFlvu9h92xor6QKkhDV9k9Bxyhhiz0kIy7DH8zJ1DUZ98zmOw8aNG7F69WpkZmZCJpMhJiYG/fv3Fz9XoAu8Q6QcigZDjvg0aAtDuzNgwlzAFf2G7AHrObfoHSDsgdDdHmprhFAs7ZuEjFMGYWhOQgjHrMWCKQQ8c0aDSslkMty4cQOZmZmoWLEiRo4ciQoVKjhVBqMIeiZyAGonCmUZ5HMoJq7qY+KqaP1ATAQJoGeqj9GcWy+jpV2JE0cugnAElbsA428C/Q4AnVfxn+OS2FgEIVwfnXFKqK+Vi/u9ujJC/FNNnTP3zBnyzX/06BFSU1O1fw8ZMgTjx4/H7Nmz2VEMAYHPhF3FECDlUByUJckRX6pogysUTEQbQc/UEBKKdEYQdkOz21OtF/9JE27CmdiSSJ2QHiaDPm3g/9kSEErkoFK5ublYt24dRowYgZ9//ll7vEiRIoiOjtamrWAKU3VWd6IoIlmCjOM46cZalRjp6ekIDAxE2pNUKIOCxRaHsAVW/edY42Y8sLy5+XL9DpCpHUEQhD0xNE4BwK14vm8GgNLNpLmAQWOwPqbqxB71JUKdnzp1CosXL8adO3yKlipVquDLL7+El5eXQ+9rNwzVWfIhnXlRehYQOB1IS0sT31/yJeRzKAbu3oG5AuSjJgzGI50RBEG4LAXHKUO+3+d+Y8f3Wyis+7CLhal5iT3mLE6c9zx48ABLlixBQkICACAoKAiDBw9G8+bNnZ+awhYM1VnGI1FEsQRSDgmCcBxCo3al3nCsHFKGVshdC3qehBhofL8LmvhrfL+lYlbqKr+DMMq5c+fwxRdfIDs7G3K5HO3bt0fv3r3h5+cntmi2o1YBuyeJLYVZSDkkCMJxlGoM+JcEnt8xXe7MEqDRh+JNklmdsLO8Qs5qnbEMy8+TcF3M+n7LeN/vih3Zfodd5XcQJnnttdfg5+eHChUqYOTIkYiMjBRbJPuRfMiKSMLOh5RDgiAch1wBvDkc+OtT0+XSb/OdphimuqxO2FleIWe1zliG5edJuDZmJ6QckP6feH2wUFzldxA6pKSkYOfOnejfvz/kcjl8fHwwZ84cFClSRFompEKQiAsNgyF+CIJwKULKCSv3zMzuoiNgNc0Gy1FeWa0zlmH5eRKuj6v4frvK7yAAAFlZWVi5ciVGjRqF9evXY//+/dpzRYsWdT3FEBDuaiMypBwSBOFYXjy0bzl7wfKE3ZIVcmfCcp2xDKvPk3APhE5IWZ+4Out3qFV8NNeLq/lP6s/sCsdxSEhIwOjRo7F69Wrk5uaiRo0aqFixotiiOZ5SjV+mkmFb8SWzUoKQGlLz9fIrat9y9oJlEyVWV8hZrjOWYfV5Eu6BZkL67A4ML+zI+PxrmlQXrOKM30Em8w7lzp07WLRoEU6fPg2A3yEcOnQoGjRo4Jo7hQWRK/i2tL4beAWRzWyCtHNIEFLiShwwL5LPkbOxN/85L5JtU76CSWBtLWcvWJ6ws7rSz3KdsQyrz5NwDzQTUgD6OxYv/46ey/YiI+D430Em8w7n+++/x+nTp+Hh4YEePXpg4cKFaNiwoXsohhoqd+F9zJ0957EAUg4JQipIdeDSmlGYQBnh/FVrlifsZk1PZFRnUoLV50m4D8YmpMpwaQVDctTvIJN5h8BxHFSqV3U2ZMgQ1K5dGz/99BP69esHb29vEaUTkcpdgPE3gX4HgPY/iy2NHjKO49jc03RB0tPTERgYiLS0NCiVSrHFIaSEWsXvEBo16XtpTjMuic3VX22kRkB38H05WRZjcqKtUzMmSmLVKat1NqcYkPXYeBmfwsDk+2y2QzFh8XlKCamZ07OKq9SjvX/HzXjeEscc/Q6QybxAkpOTsWjRIlSpUgV9+vQRWxxmYVE3IJ9DgpACUvf10qz2FvTlUIbzZkBiTIpN2v4zYGrFYp0BrPvRswurzzM/rCoO5AdmP+QKNscIS7H37yCTebuRkZGB1atXY8uWLVCpVPjnn3/QpUsX+Pj4iC0aIRBSDglCCrjCwFW5C5+cmKXJJ+sTdtbqLPkQkGli1xDgz7O6SCE2rD3P/LCqgFF+SMIZkMm8zXAch/j4eCxduhSpqakAgHr16mHYsGGkGEoMUg4JQgq4ysDF4qo1yxN2gK06c4VFCrFh6XlqYFUBM+sHJuP9wCp2ZOd9JaSJq0R0FYk7d+7gxx9/xMWLFwEAxYsXx/Dhw1GnTh2RJSOsgZRDgrAVZ5hi0cDlWFicsLOIqyxSEK9gWQGTujk9IR1YdzNgHIVCgevXr8PLywvdu3dH586d4enpKbZYhJWQcki4DmL4yzjLFMtVBi5Tz4hVfyfiFbRI4XqwrIDRTjXhTFh3M2AItVqNy5cvo1q1agCAsNCimNwvBq8VkSM0ohjgQWO3lCHlkHANxPCXcbYpltQHLlPPCGDT34nQxVUWKYhXsKyA0U414WxYdzNggH/++QexsbG4evUqZs2ahSqyq8CuCWhE47fLQKksnAiL4WpdAmNKmiNDxIuZWkKKO2wmn5GxLohC/DOLIUVfGSGNRQpCF5ZD+LOeboYg3Ihnz55h+fLl2LFjBziOg7e3N8Z0qovmSVPh1PmXi8GibkDKoRNhsQFIHrGUNJYnVKxh9hmZgiZ/zCLFRQpCH9YVsCtxwPquBk7Q5JMgnIFarcbu3bvx+++/Iz09HQDQpEkTDB44AEVW1ZZu/mVGYFE3ILNSQtqI5S/DsikWa5h9RqaggBPMQkF8XAMpmAr7FNZPoeITArRdTIohQTiYr776CsePHwcAlCpVCiNHjkT16tX5RXJW/ZUJmyDlkJA2Yilp5AsjHHvUPSnZBOE4WPVnNmqODiAz1eniEIQ70rBhQ1y4cAF9evdCu+qB8Mi8BNxMfWltIAAavyUHKYeEtBFLSaOojcKxR92Tkk0QjoW1QBwmU2y8hHIcknk3YVdUKhV27dqFoKAgNGjQAADQvHlz1FKmIOjIBOBivsUjnyLCLkrjt+Qg5ZCQNmIpaVIwxWIFs8/IFKRkE4TTYMlUmOUUG6wgRpRuwmW5cuUKYmNjkZiYiJCQENSoUQO+vr6QX9uEoJ39oDd+Zz4yc0Uav6WKXGwBCMIoahVv035xNf+pVumX0ShpALRKmRYHK2kaU6yAkrrHleHiBkkQUm/ORMgzMnWOlGzClWDt/WQV8us2jcbktqACrUmldCVOHLkIyfHkyRN8//33mDJlChITE+Hn54fu3bvDy8tL2A4+ABq/XQvaOSTYxJIVUTH9ZVgzxWJ1JdncMwLY83ciCHvD6vvJIuTXbRyTE3YOgIxMbgmzqFQqbN++HStXrsSLFy8AAC1btsSAAQMQFBTEFzIbdOYlPoV1dxIDSlK/JoS8HODEArGl0IOUQ4I9rEkuL6aSxoopljX15kzMPSOWlGyCsDesv5+sQX7dxiGTW8IOXL9+HYsXLwYAlC9fHqNGjULFihV1CwndmefUdpbODdj7HnDsOyCTPesRUg4JtrBlRZQVJU0MpLKSbOoZOfr5STFwgxRlJvSRyvvJEuTXbRwyuSWsJDc3F4UKFQIAVK5cGe3atUNkZCRatmwJhcLAuyR0Zz6rQPRgWvQyzd73gITZYkthFPI5JNjCkhVR4hVUb6a5Escn+l7eHNjYm/+cF8m2X44UZSYMQ++ndbDq1y02ZHJLWEheXh7i4uIwaNAgPHjwQHt85MiRaNWqlWHFEHi1g6/nU2iOl4s5uyeSX3VB8nL4HUOGoZ1Dd4Tl3QhaEbUOqjfjSNGcT4oyE8ah99N6WPPrZgEyuSUs4Ny5c4iNjcV///0HANi5cyf69+8v7Msmd/DNQebNBjm5AODYVphJOXQ3WA+IQCui1iGFelOrgFvxvIM7AJRuxg8YjpzkSdGcT4oyE6aRwvvJMu7sMmAIMrklBPDo0SP88ssvOHSIt0gIDAzEwIED8fbbb1t2IWMB5XxCgMxU49/TQIteujxJFFsCs5By6E5IYTeCVkStg/V6uxIHbB8OZD5+dezwV4B3YaDdYse1OykGbpCizIRpWH8/CekhZpRuQjwEWn5t3LgRK1asQHZ2NuRyOdq0aYO+ffvC39/fuvsa2sHnVMCKFua/S4teujy8JLYEZiHl0F0wuxsBfvLuFej43RxT0IqodbBcb1figPVdDZ/Lesyf67bBMZMZKZrzSVFmwjQsv5+EdCGTW/fCAsuv9PR0ZGdno0qVKhg5ciTKli1r+/0L7uCrVbToZSl5OUDyQbGlMAsFpHEXzO5GgN/VWdlC/KAXFITAOip3Abr+AfgW0T0uZr1pFyXMsGuCY5zWpWjOJ0WZCfNQv0Y4As2EvVov/YVdtYo347+4mv+kwCDSRWP5VXAe99Ly68HR37U+hQDQo0cPTJkyBd988419FENDaBa9AOgHrKFFL4OcXCCJtB+0c+guWLLLwIKZKa2IWs6VOGD3JCDj4atjPkWAlnPEe45CFiUAvowjzCSlaM4nRZkJYVC/RjgL1uMLEMIxYfmVo5Zhw71yWDdzDSLLn8G3386BXC6Ht7c3mjZt6njZKncBot7lo2/mD7IikwP1J1NbK8iTG2JLIAjaOXQXLNplYCQEsakVUUIXY6uKmY+BDT3E2wm2ZFHCEWaSUlzZlKLMBEGwg5ldJkqHIzGMLLIefxKK0eebYOXt15CjlsNTnYnnz587V7YrcUDCt/rRNzkVf5zami6cpSlBxIGUQ3fB4lw1lHdLMgjxJxVL0bdkUcJRZpJSNOeTgsxksmY5lLuScDQsjweEdRRYOL2X5YvPr9XGF9frICXbDyGFsjCl/GnMGNIESqXSeXKZbGsvobamS3g9sSUQBJmVugvW5qqhoBfsw3J0S62JpBnT0gAHm0lK0ZyPZZnJZM1ypBAtmpA+LI8HhHXkWzj954USUy41QC6ngIdMjY5hSehZ8gZ8FCogoIRz5aK2ZjnKCLElEAQph+6EsdDXpqCgF+zDcnRL7aKEkWilGmJ+cLzSI8VcaSzKTEqO5VDuSsJZsDweENaRzw+9rG86In2fwV+Ri+GRlxDh8wK8H3qE8/3Qqa1ZjtAFc5Ehs1J3o3IXYPxNoO9ewDvEdFkxOhupwJJJHevRLSt34VNV+BTWP+dT2HFpLAj7QyZr1mHJCjtB2ALr4wFhEXfu3MH3P8xDVvM5AAC5TIYvK/2NLyodf6UYAuL4oVNbsxxtTAG2fQ9p59AdkSuAMm8DNYcACbONl6vak1axDcGaSZ0UoltqTCRvxfPKNACUbkaBhqQGmRFZB62wE85CCuMBYZbMzEysXbsWmzZtQl5eHooU6YF+Ly2//PP3wcpwXjGkuYd0sMaKz8mQcuiuqFX8rpcpLq0B3ppBk/f8sGhSJ5UE25pFiTJviysHYT2k5FgHrbATzkIq4wFhEI7jcPjwYfzyyy949OgRAKBWrVp46623gJIl2fJDp7ZmPfljCqQkAtOHii2RDqQcuitC8s/RDoAuLPsNGVuJEnNVkXA9SMmxjvAGgEyhH+49PzIFX44gbIXGA0mSnJyM2NhYnD9/HgBQrFgxDB8+HHXr1oVM9lLZYs0Pndqa9WieZcibAEg5JFiAdgAsh3WTOpajWxKuAZkRWcfto6YVQ4A/f/soWxM/QrrQeCA5Vq9ejfPnz8PT0xPdunVD165d4eXlJbZY5qG25nKQcuiu0A6A5ZBC7Z6oVTToaRCSEsceZkR5OcDJBcCTRCC4HFB7NODhads1xYT6DkIM7L3LRH2hXeE4DtnZ2fD29gYADBo0CBzHYeDAgQgLCxNZOgthbUeTsAlSDsWAhUh+tANgOawr1KwFynEFqE710ZgRbR8OZD7WPWcuArIQ9r4HHPtOd6dt77tA/clAi1m2X18MWO87CMIc9u4L3VzRTEpKQmxsLIoWLYp3330XABAaGoqpU6eKLBlBUCoLcYitxne0YqINpwvoh9QlR2KDaBRqoyGIRco1BLwKlFPQ7FUTKEfs9iZFqE5NU1AxBICsVNvqZu97fATlgiaYnIo/vvc9664rNiz3HQRhDnv3hVfigHmRwPLmwMbe/Oe8SLfoU58/f45FixZhwoQJuHTpEhISEvD4sYG+lCBEhJRDMXh2l43JpWYHIKCk7nFlOCWyNgSrCjXlnrM/VKfG0daNIWyom7wcfsfQFMe+48tJDVb7jvywlLuVYAd794VuuuimVquxd+9ejBw5Elu3boVarUbDhg2xcOFCFC5sIAcwIX0k3KeSWamYiBXZMj/kSGwZLEbmYj1QjhShOjWOo+rm5AJhQVtOLgDqTxR+XVZgse/QQObThDHs+b6zHPHbgdy/fx+zZ8/G1atXAQDh4eEYMWIEatasKbJkhMOQeJ9KyqFoMDS5JEdiy2BNoaZgF/aH6tQ4jqqbJ4n2LccirPUdAJu5Wwl2sOf77qaLbgEBAbh//z68vb3Rq1cvdOjQAYUKFRJbLMJRuECfSsqh2Ljj5NIVYEmhpmAX9ofq1DiOqpvgcvYtxyos9R1uupNDWIA933c3WXRTq9U4duwYoqKiIJPJ4Ovri/fffx9hYWEoUqSI2OIRjsRF+lTyORQbd5xcEvaFgl3YH6pT4ziqbmqP5hPBm0Km4MsR9sGSnRzCPbHn++4Gi27Xr1/H//73P0yfPh0HDhzQHq9WrRophu6Ai/SppByKhhtPLgn7IoVgF1KD6tQ4jqobD08+XYUp6k+Wdr5DgK0gBVLayWGp3twJe77vpRoD3maCr/gUluS8KC0tDfPmzcP//vc/3LhxA76+vsjLyxNbLAJwbt8hpT7VBGRWKibuOrkk7A/LwS6kCtWpcRxVN5o8hgXzHMoU0s5zqIG1IAVS2clhrd7cDXu+78Y2ICWKSqXCzp07sXz5cjx//hwA8NZbb2HQoEEIDg4WWTrC6X2HVPpUM8g4jjNkGEs4gPT0dAQGBiJtZkkoO8yjQc0cbp4k1yqozuwP1alxHFU3eTl8VNInibyPYe3R0t8xNBakQDNbFiNIgVrF55d7dseAXABv4RIOjEsSr82zWG/uiq3v+814PqehOfodYMcv1wxz5szRmo+WKVMGo0aNQpUqVUSWigAgTt9hRZ+q1Q3S0qBUKu0rj5WQcuhEtA3gSSqUQbSiZBJaKSYIwlXQThiM+aKIqIRpJ1CA7mSGAeWL5XojLOfiaj7pvTk6rwKq9XK8PHbg8uXL+OKLL9C3b1+0bt0aCgW1QyYQs++wsE9lUTkkn0MxoEHMNG6aJJcgCBeF5SAFGpPBgJK6x5Xh4u/KsVxvhOVI3OROpVJh8+bN2Lhxo/ZYlSpVsHTpUrRr144UQ5YQs+9guU8ViKjK4YwZM1CnTh0EBAQgNDQUnTp1wrVr13TKpKSkoF+/fggLC4Ofnx/efPNNbNiwQadMamoq+vTpA6VSiaCgIAwZMkRr+63h/PnzaNy4Mby9vREREYFZs/R9V9atW4dKlSrB29sbr7/+Ov7880+d8xzH4ZNPPkHx4sXh4+ODFi1a4MaNG3aqDQKAgDDA4MMAUzACgiCkAutBCip3Acbf5M35Oq/iP8cliT+JYb3eWIe1ID4SjgJ98eJFTJgwAUuWLMHy5cvx4MED7TkfHx8RJbMB1tqHPRG779D0qX33Ao0+4v+1X8qnsJAAogakOXjwIMaMGYM6deogLy8PH3zwAaKjo3H58mX4+fkBAPr374+nT59iy5YtKFKkCFatWoXu3bvj5MmTqFmzJgCgT58+uHfvHvbs2YPc3FwMGjQIw4cPx6pVqwDwW7bR0dFo0aIFYmNjceHCBQwePBhBQUEYPnw4AODo0aPo1asXZsyYgXbt2mHVqlXo1KkTTp8+jWrVqgEAZs2ahXnz5mHZsmUoU6YMPv74Y8TExODy5cvw9vYWoQZdEDdNkksQhAsjhR0TlvIvapBCvbEKi64Zmsin67uBVxANmNwxFqjv8ePH+PXXX3Hw4EEAfEL7/v37o3BhM1FXWYfF9mFPWOg7rm3WrePDX0mmjpnyOXz48CFCQ0Nx8OBBNGnSBADg7++PhQsXol+/ftpyhQsXxjfffIOhQ4fiypUrqFKlCk6cOIHatWsDAHbu3Ik2bdrg9u3bKFGiBBYuXIgPP/wQKSkp8PTkgxpMnToVmzZtwtWrVwEAPXr0wIsXL7Bt2zbtferXr48aNWogNjYWHMehRIkS+N///od3330XAB+6uFixYvjtt9/Qs2dPs7+PRbti5nBBnwSCINwcKQR+YRGqN+tgPYiPIcVEGcFUFOi8vDxs2bIFq1evRmZmJmQyGWJiYtC/f3/pz98c0T5YC9ymVgFzigFZj42X8SkMTL7vGDmF1HHFjkDyIaSnJCIwaihTugFTPodpaWkAgJCQEO2xBg0aYO3atUhNTYVarcaaNWuQlZWFZs2aAQASEhIQFBSkVQwBoEWLFpDL5fj777+1ZZo0aaJVDAEgJiYG165dw5MnT7RlWrRooSNPTEwMEhISAABJSUlISUnRKRMYGIh69eppyxQkOzsb6enpOv8IM7Cw2kMQBGFPtLnijK3FcsztmDAB5Ru1HCm4ZrBqxpyPR48eYfny5cjMzETFihXx3XffYezYscxM3q3GEe3jShy/iLO8Ob+4v7w5/7fY8SHESpsipI63D39VZ1uHOlE4YTCjHKrVakycOBENGzbUmnECwB9//IHc3FwULlwYXl5eGDFiBDZu3Ijy5csD4H0SQ0NDda7l4eGBkJAQpKSkaMsUK1ZMp4zmb3Nl8p/P/z1DZQoyY8YMBAYGav9FREQIrxB3RcI+CQRBEISdcYHgDk5FKkF8NGbM1Xrxnwwo+C9evND+PywsDP3798f48eMxe/ZsVKhQQUTJ7Ii92werAQSTDwGZJnYNAf68I94DIXWc+dhMGXFhRjkcM2YMLl68iDVr1ugc//jjj/H06VPs3bsXJ0+exOTJk9G9e3dcuHBBJEmFM23aNKSlpWn//ffff2KLxD60UkwQhKuhXUk2hkz83RyWkcBOEzOIHYhDguTm5mLdunUYOHCg1tUIADp37ozo6GjI5cxMlW3Hnu2D5V1qMd8DF3i3RA1Io2Hs2LHYtm0b/vrrL4SHh2uPJyYmYv78+bh48SKqVq0KAHjjjTdw6NAh/PTTT4iNjUVYWJhO1CiAtxVPTU1FWFgYAH4F6P79+zplNH+bK5P/vOZY8eLFdcrUqFHD4O/y8vKCl5eXRXVB4NVKsZ5PQjhTPgkEQTAMSz4wFGjLdlgMmMMi5JphEadOncLixYtx584dAMDevXtRqVIlkaVyIPZsHyz3a2K+By7wbomqHHIch3HjxmHjxo2Ij49HmTJldM5nZGQAgN6qjUKhgFqtBgBERUXh6dOnOHXqFGrVqgUA2L9/P9RqNerVq6ct8+GHHyI3NxeFChUCAOzZswcVK1ZEcHCwtsy+ffswceJE7X327NmDqKgoAECZMmUQFhaGffv2aZXB9PR0/P333xg1apQda4UAwCuAL511mZjcEQQhHViLxEe7OYSz0LhmmAvi4+auGffv38eSJUtw7NgxAEBQUBAGDx6M5o0bAsfmAk8SgeByQO3RgIen6YtJCXu2D5b7NTHfA7P3Zh9R98rHjBmDFStWYNWqVQgICEBKSgpSUlKQmZkJAKhUqRLKly+PESNG4Pjx40hMTMScOXOwZ88edOrUCQBQuXJltGrVCsOGDcPx48dx5MgRjB07Fj179kSJEiUAAL1794anpyeGDBmCS5cuYe3atfjhhx8wefJkrSwTJkzAzp07MWfOHFy9ehWfffYZTp48ibFjxwIAZDIZJk6ciK+++gpbtmzBhQsX0L9/f5QoUUIrC0EQBCEyLPrA0G4O4SzINcMsW7ZswahRo3Ds2DHI5XJ07NgRixYtwlvqnZB94wfsmQScnM9/zvQF9r4ntsj2w2z74IBKXfmFeXPmoCz3a2K+BybvLQ1ETWUhkxmutKVLl2LgwIEAgBs3bmDq1Kk4fPgwnj9/jvLly+Pdd9/VSW2RmpqKsWPHYuvWrZDL5ejatSvmzZsHf39/bZnz589jzJgxOHHiBIoUKYJx48bh/fff17nvunXr8NFHH+HmzZuoUKECZs2ahTZt2mjPcxyHTz/9FIsXL8bTp0/RqFEjLFiwAK+99pqg30upLCyAtZV/giDYR5v6wJipk0ipDyglA+FsJJAuQiz27NmDH374AdWqVcPIkSMRGRnJK4AJs41/KWoK0GKW02R0OIbah0wBcPkUQnNzLin0a2K+B4bu7V/y5U6qWnsoPQsInA6mdAOm8hy6OqQcCoT1HE0EQbDJzXg+NLg5+h1wvg+Mtl8DDCb/pn6NsDcs+d2KyL179/D48WNtJHy1Wo3Tp0+jVq1a/CZFXg6/Q8iZ2CmTKYCpGa5lYqppH9c2A8fnGiggoG+SQr8m5ntQ8N6cClihmzaPReXQhUIwES4By9GvpIJaxU+SL67mP6muCHeBZR8YSslAOBsG00U4k6ysLKxYsQKjR4/G7NmztS5LcrkctWvXfmW9dnKBacUQ4M+fXOBgiZ2MXMErSlfWGykgYM4lhX5NzPeg4L1fPDD3DSZgIlopQWhhOfqVFCBzXMKdYdkHBqBAWwThBDiOQ0JCAn7++WdtNPuIiAi8ePECPj4++l94kijswkLLSQl7zLmoXxOORPzKSTkk2ILllX/WMWaOqwnEwcoqHkE4CilEaqSUDNKDzDMlw+3bt7Fo0SKcOXMGAFC0aFEMHToUDRo0eLVTWPB5BkUKu3hwOccInR9ntzV7zbmoXxOGRCKZknJIsAXrK/+sYtYc92WS7YodaVJDuC6aKHHru0EbeU8LRWokrICsMSTD/fv3MXbsWOTl5cHDwwNdu3bFO++8A29v71eFDD1PvxLgvazUBS/5CpmCT2vhSMRoazTnci4mxyh2IJ9Dgi00qypGw//K+EhTbp6jSQ9LTEMI6UD+o5YjBR8YQhqwmBaFMEqxYsUQFRWF2rVrY8GCBejXr5++Ymjoeb7QjR5pkPqTHRuMRqy2RnMu52NsjGIIilbqRChaqUCkEP2KNS6uBjb2Nl+u8yreMZpgH9qxsA0yBSRsgdW0KISW5ORkLF26FGPGjEGRIkUAADk5OShUqJB+qjQhz9PTD8jN1A1OI1PwiqEj01iI3dZoziUOeTnAyQVIv3MFgd0WM6UbkFkpwR6aVRW93DThlKPJGGQa4lqQ/6jtkA8MYQsUHI1ZMjIysGrVKmzduhUqlQq//fYb3n33XQCAp6eR3T0hzzPnOdBrF/DoMh98Jrgcb0rq6PQVYrc1mnM5n/yLv1liC6MPKYcEm1D0K8uQQiAOQhjkP0oQ4kPB0ZiD4zjEx8dj6dKlSE1NBQDUr18fffv2Nf9loc8p6zFQf6L1QloDC23N1jkXWWoIx2gub3Yg5ZBgF1r5Fw4F4nAdxF5FJgiCrDEYIykpCbGxsbh06RIAoHjx4hgxYgRq164t7AIsP09WZLN2zkUuEMIxufjLDhSQhiBcBQrE4RqwsIrs7uTlAMfmAjvG8Z95OWJLRDgbCtTBFAcPHsSlS5fg5eWF/v37Y8GCBcIVQ4Dt58mybOagoE2WYXbxlw1o55AgXAkyx5U+rKwiuyt73wOOfacblGLvu44PSkGwBVljiIparcazZ88QGBgIAOjRoweeP3+O7t27IzQ01PILsvw8WZbNFOQCYTkSWdSlnUOCsAaWUwxoTEOq9eI/qVOWFlJeRZY6e98DEmbrKoYA/3fCbP484T6QNYYo/PPPP3jvvffwxRdfQK3mU0z4+Phg7Nix1imGGlh+nizLZgxKoWU5ElnUpZ1DgrAUsq8nHIlUV5GlTl4Ov2NoimPfAc2+cnz0QoIdyBrDaTx79gzLly/Hjh07wHEcvL29kZycjMjISPvdhOXnybJshiAXCMsp1RjwDgGyUsWWxCSkHIoBS7tMLMNi9CtKMUA4Awot7nxOLtDfMSwIp+LLOTuaobNgsc9lAQqO5lDUajV2796N33//Henp6QCApk2bYtCgQdr8hXaF5efJsmwFIRcIy5ErgLoTgL8+FVsSk5ByKAax1YCOP9IEzxQs7s6Rfb3t0ORTOFJbRZY6TxLtW05qsNjnEi7PkydP8MUXX+DGjRsAgFKlSmHkyJGoXr26yJIRZqEUWtbR+EPgxDwg87HYkhiFlEMxeHaXdplMweruHKUYsA2afFqOlFaRpU5wOfuWkxKs9rmEbUhgMU6pVEKtVsPX1xd9+vRB27Zt4eFBU1NJQC4Q1iFXAG0XM53rkALSiMnuiWRiWhCzu3MQr97Ivt56KNw1wTq1RwMyM5MYmYIv50qw3OcS1nMlDpgXCSxvDmzszX/OixS9r1WpVNi9ezeysrIAAAqFAu+++y4WLVqEjh07kmIoNaQYSIcFtPUWLrYkBqG3UDRol8kgYu7OmVtlJft66yBzXNdEE7H3Vjz/d2QzoHQzdp6hpbsmHp58uoqE2cbL1J9sezAa1nZzpGARwVqdsQ6jO8FXrlxBbGwsEhMT8eB+Cvo2LgU8v4cI/+JAIJkeShZygbAOTb1d2glMbye2NDqQcig2tMuki1i7c0JMHsm+3jqkMPkkLONKHLBtOJCVz2fi8FeAT2HeXEbs1WJrTZg1eQwL5jmUKeyT55BF02rWLSJYrDOWYXAx7smTJ/jtt9+wb98+AICfjyeKnJsD3Dz/qhA9U2lDLhDWIVcApdmbM5JZqdjQLpMuYuzOCTV51NjXA9DPQUf29UZhffJJWMaVOGB9V13FUEPmY/6cmKZrtpowt5gFTM0AWn4P1B7Lf07NsI9iyKJpNcsWEazWGcswlHtOpVJh8+bNGDFihFYxbFmnAhZV/hOtAs/rFqZnShDMQMqhaFAia4M4OwG4pf42ZF9vOSxPPgnLUKuAnePNl9s9QRwfNXv5z3l48ukqWv/If9rDlJRVvz5n97lCYbnOWIahxbhff/0VS5YsQUZGBsqXL485s2dhQuB6BBXKNlDagmeqMWm/uJr/pDZASBFNO768TmxJ9CCzUjGhXSZ9nB39yhqTR7Kvtwwyx3Udkg8Bz++YL5d+WxwzYVZNmFmVC2A34iDLdcYyDC3GdejQAYcPH0bPnj0RHR0NxX92eKZkZky4AvnbcZbYwuhDO4dioCxJu0ymcObunLWrrBr7+mq9+E9SDI1D5riuwzMBiqEGMcyEGdo1sep+YplWs2gRwXqdsYpIO8F5eXmIi4vDwoULtceKFSuGX375Ba1bt4ZCobD9mZKZMeEKGGvHDEE7h2Iw4gIQFCy2FGzjrN05hlZZXRrN5LPgiq8ynFcMaaFEGrx4KLysGO8Mq+8zq3LlhzWLCCnUGYuIsBN87tw5xMbG4r///gMAtGjRAhUqVAAA3dQUtjxTBgPtEITFmGzH7EDKoRhQxyUMZ0S/IpNH58Ha5JOwHL+iwsr5hIjzzrD6PmvlMrFSzIIPOksRB1l9llLASYtxDx8+xK+//opDh/jgNkqlEgMHDkS5cuUMf8GWZ0pmxoQrYLYdswEph4R7w6q/javC0uSTsJyCZofGqDtBnHeG1fdZruBN0E3lUKzak/qZ/LD6LKWCAxfjcnNzsWnTJqxZswbZ2dmQy+Vo06YN+vbtC39/f+NftOWZkpkx4QpIpH2SzyFBsOhvQxAsovVnMoFPYaDRh86RxxAsvs9qFR9Z0RSX1lDUxYKw+CylhIN843NycrB582ZkZ2ejSpUqmDt3LkaOHGlaMdRg7TMlM2PCFZBI+5RxHMe24asLkZ6ejsDAQKSlpUGpVIotDlEQtYpMHgnCHBpnemM+E902sDFpZ+l9vhkPLG9uvly/A7SzbgiWnqWb8ujRIxQuXBgyGb/Dd+TIEWRnZ6N58+baYxZh6TNVq4B5keZNUsclUdsg2EWtAuYU08kTnJ4FBE4HU7oBmZUShAYyeSQI8xj1Z4pgK7gQS+8zmcTZBkvP0s3IycnBhg0bsG7dOowbNw7Nm/OLHA0bNrTtwpY+UzIzJlwFK9ZSnA0phwRBEIRlUHAhyyCTOEKCHD9+HIsXL0ZKSgoA4OTJk1rlUBQo6jUhdZIPAZmPzZcTGVIOCYIgCMuh3RzhSCVaKUEAuHfvHhYvXowTJ04AAAoXLowhQ4agcWMG2ictTBFSRiLWIaQcEgRBEIQjoWilhETYuXMnFi1ahNzcXHh4eKBjx47o2bMnfHx8xBbtFbQwRUgViViHkHJIEIR7QEEtCLEQGq30rRnUJglRCQ8PR25uLmrWrInhw4cjIiJCbJEIwjZYGvvN5vpkA1IOCYJwfa7E6fupBITzAQ7IT4VwNEISH1MCb8IabJz43rlzB4mJiWjSpAkAoFq1apgzZw5ee+0166KQEgRLsDb2mwysxA6kHBIE4doYS73w7A5/nPKlEY6GopUSjsCGiW9mZibWrl2LTZs2QaFQoFKlSggNDQUAVKxY0ZFSE4RzYHXsNxZYiSHkYgtAEAThMNQqvgM2uDr38tjuiZR8nHAsFK2UsDeaiW/ByaVm4nslzuDXOI7DoUOHMGrUKKxfvx55eXl4/fXXnSAwQTgR1sf+yl2A8Tf53LbtfxZHBhPQziFBEK6LWXM+jsz5CMdj1s/kZQJvilZKCMHsxFfGT3wrdtQxMU1OTkZsbCzOnz8PAChWrBiGDx+OunXrkgkp4VpIYezXBFYKeRPAUHFkMAIphwRBuC5kzkewACXwJuyJFRPf58+fY/LkycjKyoKnpye6deuGrl27wsvLyykiE4RTobHfJkg5JAjCdSFzPoIVKIE3YS+smPj6+/ujY8eOuHXrFoYOHYqwsDAHCUcQDEBjv02QckgQhOsi1JwvvAFwM56NUNeE60IJvAl7IGBCezMjAIt++QsDR76pDTDTu3dvKBTU1gg3gEz5bYKUQ4IgXBch5nxVewLzy7ET6ppwbSiBN2ErJia+z/M8sPL2a9j+IBJq7j8sXboUM2fOBABSDAn3gUz5bYKilRIE4dpozPkCSuoeV4YDUe8CCd9aHPGPIAhCNDQTXwCaia6aA/Y+DMfIc82w9X4ZqDkZGjZsiMmTJ4smJkGIiqmxn1JYmUTGcRybGRhdkPT0dAQGBiItLQ1KpVJscQjCvSiYLDq8gf6OoQ4vzU7GJdHqIkEQ7PEyz2FiSjoW3qyGq8+DAQDhoYEYMe5d1KxZU2QBCYIBCo79jJnys6gbkFkpQRDuQUFzvpvx7Ie6JgiCMMZLH9Z/1vyEqxd3w9uzEHr17o0OHTuhUKFCYktHEGxApvwWQ8ohQRDuCYW6JghCgqjVajx48ICPOCpXoGXPsXigCkbr1q1RpEgRscUjCELikHJIEIR7QqGuCYKQGNeuXUNsbCyePn2KhQsXwtvbG3K5HP369RNbNIIgXARSDgmCcE8o1DVBSAfG/YYcTVpaGpYtW4Y9e/aA4zj4+vri33//RZUqVcQWjSAIF4OUQ4Jd3HwyQDgYCnVNiAH1a5ZzJQ7YOR54fufVMf+SQKt5Lh9xUKVSYdeuXfj999/x/PlzAMBbb72FQYMGITg4WGTpbCAvBzi5AHiSCASXA2qPBjw8xZaKh95Rws2haKVOhMWIRMzyMgob5Z4jHI6htqaM4BVDamuEPaF+zXKuxAHruxo/322Dy9ZdZmYmpk6disTERABAmTJlMGrUKOnvFu59Dzj2HcCpXh2TKYD6k4EWs8STC6B3lHA6LOoGpBw6ERYbAJNciXu5m1Owab7czaH8NIS9oZViwtFQv2Y5ahUwpxiQ9dh4GZ/CwOT74r2vDu47ZsyYgbNnz6Jfv35o3bq1fiJ7qfVde98DEmYbPx81RTwFkd5RQgRY1A1IOXQiLDYA5lCrgHmR7pd7TmoDPEEQwnHXfs1W/t0HrGxhvlyfvUDZtx0vT0HsvMukUqmwfft2NGjQQBt1NDU1FXK5HEFBQQ6/v8PJywFm+uruGBZEpgCmZjjfxJTeUcLZvJz3packIjBqKFO6gVxsAQhCh+RDwnPPuQpX4vhBaXlzYGNv/nNeJH+cIAjp4479mj24FW/fcvZEs8tU8Lk+u8Mft7D/vnjxIsaPH4/Fixdj6dKl2uMhISHGFUM73t8pnFxgWjEE+PMnFzhHnvzQO0o4k/zzvq1DxZZGD1IOCbZwt9xzUhzgCYKwDHfr11wdtYrfsTMY5fjlsd0T+XJmePz4MWbPno2pU6fi1q1bCAgIwOuvvw6TRl12vL9TeZJo33L2hN5RwlkYm/cxBCmHBFu4U+45qQ7wBEFYhjv1a/Ykspl9y9kLO+wy5eXlIS4uDiNHjsTBgwchk8nQqlUrLFq0CK1atYJMJnPo/UUhuJx9y9kTekcJZ2By3scOpBwSbKHJPQdjA6OMjyTpCrnnpDrAEwTAD3I344GLq/lPWsQwjrZfM4Gr9Gv2pHQzPuCMKXwK8+WciR12mTZt2oRff/0VmZmZqFixIr7//nuMHTtWmM+RVHe5ao/mfQpNIVPw5ZyNO809CPEwO+9jA4uVw9OnT+PChQvavzdv3oxOnTrhgw8+QE5Ojl2FI9wQTe45APqdtIvlnpPqAE8Q5CdrGXIFUK2X6TJVe7pGv2ZP5Aqg7WLTZdoudn69WbnLlN9UtE2bNihbtiwmTJiA2bNno3z58g6/v+h4eAIV2pkuU6GdOPkO3WnuQYiHROZzFiuHI0aMwPXr1wEA//77L3r27AlfX1+sW7cO7733nt0FJNyQyl34kNEBJXWPK8NdK5S0VAd4wr0hP1nLUauAs7+aLnP2V9p9NUTlLnwuw4I7r8pw8XIcWrjLlJubiz/++AOffPKJVkH09fXFDz/8gJYtW0Iut3AqJtVdLrUKuHfKdJmU0+K9B+4y9yDEQyLzOQ9Lv3D9+nXUqFEDALBu3To0adIEq1atwpEjR9CzZ0/MnTvXziISbknlLkDFjq6d3kEzwD+7A8P25y9DZ7M2wBPui1k/WRnvJ1uxo2u9q7ZyKx7INJGrD+DP34oHyoiQkoF1WBsPNLtM67uBV9Dyvw+6u0ynTp3CokWLcPfuXQDA8ePHUa9ePb6kKb9CO92fKYSY1GlcKZztR6qBtbZGuBZm531sYLFyyHEc1Go1AGDv3r1o1443EYiIiMCjR4/sKx3h3sgV4g0QzkCqAzzhvljiJ+vK766l3IwXXo6UQ8OwNh5odpkK5hlUhgPRc3E/pCGWfPUVjh07BgAIDg7G4MGDUbduXafcn8ldLqm4UrDW1gjpYiiHtdF5HztYrBzWrl0bX331FVq0aIGDBw9i4cKFAICkpCQUK1bM7gIShEsjxQGecF+kMrkjCGdgYJcpt3h9rI/biHXrRiEnJwdyuRwdOnRA79694evr6/D7M73LRa4UhDtxJU5/bhcQziuHhuZ9DGGxcjh37lz06dMHmzZtwocffqh1ol6/fj0aNGhgdwEJwuWR2gBPuC++ofYt5y6UbgYc/kpYOUJaFNhlkqtUSEhIQE5ODqpXr44RI0agdOnSTrs/05ArBeEuaHzzC7ZzjW9+t/XA+Jv8vC8lEZg+VAwpjSLjTGZaFU5WVhYUCgUKFSpkj8u5JOnp6QgMDERaWpqwcNUEuxgyFSBljnB1kvYBK1qYL9d3L5lH5ketAuYUA7JM+B36FAYm36d+RILcu3cPISEh8PLyAgBcu3YN9+/fR+PGja33K3RVtJNmwKArBQV+IaSOWsVH7za6K/hyEWRcEiBXMKkbWJXn8OnTp/j5558xbdo0pKamAgAuX76MBw8e2FU4gmASCuNPuCvPU+xbzl2QK4B2DKZkIGwiKysLy5cvx6hRo7Bhwwbt8YoVK6JJkyakGBqCIoISro4L5LC22Kz0/PnzePvttxEUFISbN29i2LBhCAkJQVxcHJKTk/H77787Qk6CYAMhpgI0uBGuyouH9i3nTmhSMuwcDzy/8+q4xgeF+g3JwHEcEhIS8PPPP2sXxRMTE8FxHCmEQiBXCsKVEepz/+wOH4QsJdGh4liDxcrh5MmTMWjQIMyaNQsBAQHa423atEHv3r3tKhxBMAWF8SfcHb+i9i3nbtCkWPLcuXMHsbGxOHPmDACgaNGiGDZsGKKiokgxtAQp+UoShCUIDai0exKQ8RDIcqw41mCxcnjixAksWrRI73jJkiWRkkKmRIQLI5Uw/uQPSTiKgqZgtpZzR2hSLFkOHDiAH374AXl5efDw8EDXrl3xzjvvwNvbW2zRrIPGCsNQvRC2IDSXYQa7FjYWK4deXl5IT0/XO379+nUULUqrxYQLI4Uw/qZCJ5PZGmEr2kHPxCKJMoKiDRIuSeXKlSGTyVC7dm0MHz4cJUqUEFsk66GxwjBUL4StmMxhLQ0sDkjToUMHfPHFF8jNzQUAyGQyJCcn4/3330fXrl3tLqBLolaJLQFhDaznaNL4QxacuGv8ISlgDmErmkEPxsznZHx+TlplJ1yA5ORkbNq0Sft3WFgY5s+fj08//VT6iiGNFfpQvRD2wljgJV9pbKJZnMoiLS0N3bp1w8mTJ/Hs2TOUKFECKSkpiIqKwp9//gk/Pz9HySp5tOFqZ5SAsuOPtAolNbThic3kaHoZnlgc2YSFTiYImzC0uq6M4BVD6tcIiZORkYFVq1Zh69atUKlUmD17NipXriy2WPaBxgrDUL3YBpniGqZgvTy7A2zqq1MkPQsInA6mUllYbFYaGBiIPXv24MiRIzh37hyeP3+ON998Ey1aCMh9RfA8u0uRLaWISVOBlzspYu2aSMUfknANKLCKZdDESRJwHIf4+HgsXbpUm6arfv36CAkJEVkyO0JjhWGoXqyHTHGNU9DH/Ga8WJJYhMXKoYaGDRuiYcOG9pTF/aDIltJDYyqgt2sSLu6uiRT8IQnXggKrCIMmTpIgKSkJsbGxuHTpEgCgePHiGDFiBGrXri2yZHaGxgrDUL1YB6X3sgyhwWpExmLlcPz48ShfvjzGjx+vc3z+/Pn4559/MHfuXHvJ5uLQKpRkYXHXhHV/SIJwR2jiJAlyc3Px6aefIjU1FV5eXujRowc6d+6MQoUKiS2a/aGxwjBUL5ZD6b0sRyLBaiwOSLNhwwaDO4YNGjTA+vXr7SKUW0GrUNJEs2tSrRf/KXbHp1mNMhUohKJIEoRzUKuAf/cB24bB+MQJ/MSJApSJglqthibkQqFChdC/f380bNgQCxcuRPfu3V1TMQRorDAG1Yt51CreLPLiav7zVrxwU1ziFcaC1TCExTuHjx8/RmBgoN5xpVKJR48e2UUot4JWoQh7wLI/JEG4E4bMSA1C1iNi8c8//yA2NhYdOnRAkyZNAABvv/22e8ROoLHCMFQvpjHUr3kL9MWlTRB98lugpSQC04eKLZEOFu8cli9fHjt37tQ7vmPHDpQtW9YuQrkHtApF2Bljq1HKcDJfIwhnYCwUvilo4uQ0nj17hp9++gmTJk3C1atXsWrVKqjVagB8Wi63gYWxouAuFAs76CzUC4sY69eyUoV9nzZBDKOxQKvyjtiS6GHxzuHkyZMxduxYPHz4EG+99RYAYN++fZgzZw75G1oE596rUIRjYNEfkiDcAZP+NyagiZPDUalU2LNnD37//Xekp6cDAJo2bYpBgwZBLrd4jdw1EHOsYDlIE42huljbrwHQpv+gTRDJYbFyOHjwYGRnZ+Prr7/Gl19+CQCIjIzEwoUL0b9/f7sLSBCEhVAUSYJwPmZD4ReEJk7OIDExEfPnz8eNGzcAAKVKlcLIkSNRvXp1kSVjADHGCikEaaIx9BUW92sayBRXyliVymLUqFEYNWoUHj58CB8fH/j7+9tbLjeAojiZhXKDEQQhFSwyD6WJk7N48eIFbty4AV9fX/Tp0wdt27aFh4fVWbwIW6DoltJDaL/mHaJrZip2ei/CJmzqIYsWLWovOdwQCkZgEpbNTgiCIApiiXkoTZwchkqlQlJSEsqXLw8AqF69OkaPHo2oqCgEBweLLJ2bQ4nmpYfQfq3rH7xCT4v5LoEg5fDNN9/Evn37EBwcjJo1a5p03D59+rTdhHMLKBiBPlIwOyEIwjFI1WJASHJjnxB+ElW6mf1/k1TrzY5cvnwZsbGxuHPnDhYtWoQiRYoAANq0aSOyZAQASjQvRcz2ay/N41lI6UXYDUHKYceOHeHl5QUA6NSpkyPlcT8oGIEuZHZCEO6LlC0GhITCb7sEKPO2/e8t5XqzA0+ePMHSpUuxf/9+AICfnx9u3bqlVQ4JRqBE89KDUny4JTJOkwVWACqVCkeOHEH16tURFBTkQLFck/T0dAQGBiLtA0Dp/XK1ZVwSvVT5uRkPLG9uvly/A2R2QhCuhDGLAc0ExJEWA/bcdTOkqCkjHGdGKma9iYxKpcK2bduwcuVKZGRkAACio6MxYMAAg/mYCZFRq4B5keZ3oWhexB7O7tfcCK1ukJYGpVIptjgALMxzqFAoEB0djSdPntjl5jNmzECdOnUQEBCA0NBQdOrUCdeuXdMrl5CQgLfeegt+fn5QKpVo0qQJMjMztedTU1PRp08fKJVKBAUFYciQIXj+/LnONc6fP4/GjRvD29sbERERmDVrlt591q1bh0qVKsHb2xuvv/46/vzzT53zHMfhk08+QfHixeHj44MWLVpoI6BZBa226ENmJwThfpi1GABvMeCIXGhX4vgJ6/LmwMbe/Oe8SP64NVTuAoy/yS9gdV7Ff45LcswESsx6ExmVSoX//e9/WLJkCTIyMlC+fHnMmTMH48ePJ8WQVTS7UAC0ixdaaBdKEGLlhxTar7GYv5KwGIsT/FSrVg3//vuvXW5+8OBBjBkzBseOHcOePXuQm5uL6OhovHjxQlsmISEBrVq1QnR0NI4fP44TJ05g7NixOrmJ+vTpg0uXLmHPnj3Ytm0b/vrrLwwfPlx7Pj09HdHR0ShdujROnTqF2bNn47PPPsPixYu1ZY4ePYpevXphyJAhOHPmDDp16oROnTrh4sWL2jKzZs3CvHnzEBsbi7///ht+fn6IiYlBVlaWZT9cWdKlV3NtgsxOCML9sCRQhT0xltxZ499srYKoCYVfrZdjfXHEqjcGUCgUqFGjBgICAjB27FjMmTMHFStWFFsswhyUaN567L2QZSnm+jWx5SPshkVmpQCwc+dOTJs2DV9++SVq1aoFPz8/nfO2bIk+fPgQoaGhOHjwIJo0aQIAqF+/Plq2bKnNqViQK1euoEqVKjhx4gRq166tlbFNmza4ffs2SpQogYULF+LDDz9ESkoKPD09AQBTp07Fpk2bcPXqVQBAjx498OLFC2zbtk177fr166NGjRqIjY0Fx3EoUaIE/ve//+Hdd98FAKSlpaFYsWL47bff0LNnT7O/T7t1/CQVyiCKmmYQMjshCPfj4mp+MmGOzqv4iYk90PY1xpQrCfQ1YtSbSOTl5WHLli2oXr26NhJpVlYWcnJymDHFIiyAAihZBuvm46zLxzCSNysF+Khf586dQ4cOHRAeHo7g4GAEBwcjKCjI5jDRaWlpAICQkBAAwIMHD/D3338jNDQUDRo0QLFixdC0aVMcPnxY+52EhAQEBQVpFUMAaNGiBeRyOf7++29tmSZNmmgVQwCIiYnBtWvXtCayCQkJaNGihY48MTExSEhIAAAkJSUhJSVFp0xgYCDq1aunLVOQ7OxspKen6/wDQB2gKcjshCDcDzEsBlxh181NLC3Onj2LcePG4ddff8XChQuhVqsBAN7e3sxMpggLcdbuuivAuvk46/IRFmNxnsMDBw44Qg6o1WpMnDgRDRs2RLVq1QBAa7762Wef4dtvv0WNGjXw+++/4+2338bFixdRoUIFpKSkIDQ0VOdaHh4eCAkJQUpKCgAgJSUFZcqU0SlTrFgx7bng4GCkpKRoj+Uvk/8a+b9nqExBZsyYgc8//9ziunB7NGYnes7PJYFo94i+RxBuhdBw6aUa2++eruDfLEa9OZGHDx/il19+0S4IBwYGolWrViJLRRBOhvX8kKzLR1iMRcqhxrQyJycHFStWhIeHxbqlUcaMGYOLFy/q7ApqVgdHjBiBQYMGAQBq1qyJffv24ddff8WMGTPsdn9HMG3aNEyePFn7d3p6OiIiIkSUSGIUtHhWW2QBTRC6kBkTu4gRLt0Vdt1cNMx8bm4uNm7ciLVr1yI7OxtyuRxt27ZFnz594O/vL7Z4BOFcWF/IYl0+wmIEm5UmJSWhevXqqFSpEqpXr45y5crh5MmTdhFi7Nix2LZtGw4cOIDw8HDt8eLF+UG5SpUqOuUrV66M5ORkAEBYWBgePHigcz4vLw+pqakICwvTlrl//75OGc3f5srkP5//e4bKFMTLywtKpVLnHyEAje368zu6x5/ftS1IBCE+eTnAsbnAjnH8Z16Oc+5LjvLs4+xAFZpdNz3zdQ0yPlS7vXfd7P0OuGCAj0OHDuH3339HdnY2qlSpgh++/x4jYirC/+ZWioBIuB+sL2SxLh9hMYK3/qZMmYK8vDysWLEC3t7e+PbbbzFixAicOnXK6ptzHIdx48Zh48aNiI+P1zP9jIyMRIkSJfTSW1y/fh2tW7cGAERFReHp06c4deoUatWqBQDYv38/1Go16tWrpy3z4YcfIjc3F4UKFQIA7NmzBxUrVtT6SUZFRWHfvn2YOHGi9j579uxBVFQUAKBMmTIICwvDvn37UKNGDQD8TuDff/+NUaNGWV0HRAHM2q7LeNv1ih0ltxru9ux9Dzj2HcDlm9jtfReoPxlooZ9axm4Yc5R/dps/LtEJtEtSuQv/bjtjh1eMXTdHvQPOrDcHoVKpoFDw8jZt2hSHDh1CkyZN0KxYKmRbm+marQWE88+O3lvCHWDdfJx1+QiLERytNCwsDOvXr0ejRo0AAPfu3UN4eDjS09P1IpYKZfTo0Vi1ahU2b96sE4I6MDAQPj4+AIC5c+fi008/xS+//IIaNWpg2bJl+Pbbb3Hx4kWUK1cOANC6dWvcv38fsbGxyM3NxaBBg1C7dm2sWrUKAB/opmLFioiOjsb777+PixcvYvDgwfj++++1KS+OHj2Kpk2bYubMmWjbti3WrFmD6dOn4/Tp01ofyG+++QYzZ87EsmXLUKZMGXz88cc4f/48Ll++DG9vb7O/l8WIRMxxM57f1TFHvwNkuy4l9r4HJMw2fj5qimMURLMRKcHvDrEckVJM3MEU11nJncV6ByxBhOedk5ODDRs24ODBg5g7d67uWEoREAmCR/suAAYXssR+F1iXj1XycpB+8DsEtpjGlG4gWDmUy+W4d++eTkAWf39/XLhwQW/HT/DNZYbNeZYuXYqBAwdq/545cyZ++uknpKam4o033sCsWbO0SioApKamYuzYsdi6dSvkcjm6du2KefPm6fgmnD9/HmPGjMGJEydQpEgRjBs3Du+//77OfdetW4ePPvoIN2/eRIUKFTBr1iy0adNGe57jOHz66adYvHgxnj59ikaNGmHBggV47bXXBP1eUg4F4Eah2d2GvBxghg8AtfEyMgUwNQPw8DRexhposcF6DClNrrpj42ilKC8HmOmru2NYEEe9A0IR4Xn//fffWLJkiTao27hx4xATE8OfpIUdgtDFWQtZ1sK6fKzx0pIkPVOFwOlgSjcQrBwqFApcv34dRYsW1R4LDw/H4cOHERkZqT3Gyg9jEVIOBUCTeddj8yDg/G/my7X8Hqg/0b73vrAS2NTXfLlOK4DX+9j33lKGdmzsy7G5wJ5J5ss54h0QgpOf9927d7FkyRKcOHECAFC4cGEMHToUjRo1erVoTGMBQejDujUH6/KxQj5LkvQsMKccCvY55DhOb4eM4zjUrFlT+3+ZTAaVihzFCRsg23XXQq0CrqwTVvZJov3v/+Khfcu5A+T3a39Sb9i3nD1x4vNWq9VYuXIlNmzYgLy8PHh4eKBTp07o0aOH1pVEy7M7hi9SEKHlCMIV0OSHZBXW5WOBvBze95xhBCuHjspvSBA6uGhodrcl+RCQ+0JY2eBy9r+/X1HzZSwp5w5QzioHYCwiqrXl7IgTn7dcLkdycjLy8vJQs2ZNjBgxQidCuQ7PDecPtrocQRC2QbuC9uHkAtMuBgwgWDls2rSpI+UgiFdoQrPr2a6Hk+261LAkr9GbI+x//4Lh/Y3hG8qb/j1J5JXU2qPF8/0SG8pZZX9K1gNO/SSsnLNx8PO+ffs2/Pz8tJHBhw4diubNmyMqKspo3AEAQGaqsBsILecoaMJMuAPmfJLpPRCOI6yk7Iz9stgThD1xgdDsBCzLa3T3b/vvRGnNlE3sjHgGAKtaQSdgjjNSbLAK5ayyP4ER9i1nTxz0vDMzM7F27Vps2rQJjRs3xv/+9z8AQLFixXQC2xlFJjANs9ByjsCdgjYR7ovRdFB3+ONR7/LBBOk9EIYjrKTsDCmHBLuQ7br0KdUY8A4BsgSs7jtiJ0rHTBnQN1PmgJxn+t/jVK/SDoipIIqxGivU7ze8AfDvPuBWPH84shlQuhkt4BiiVGPApzCQ+dh4GZ/C4vhS29nPm+M4HD58GL/88gsePXoEAHj+/LnWx9AoBdt6hMC6KN1MWDlTWPOemZswOytok1R3bKQqt7MpWE8l6gGnF9nfysXY8zDrkwzDKXqc/R4Yg8V2Vns0vwDNsGkpKYcEQTgOuQKoOw7463PzZf1CHSODMTPlgJLAs7swmWLj2HdAs6/EMTEVa1dCiN9v1Z7A9yWArHzKzuGv+IWAuhOAwhXYGYhZQVBccBGwo5/3rVu3sGjRIpw/fx4Av0s4fPhw1K1b17QJqbG2XsgfyH1u/Hs+hW1fQLTmPWMlaJNUdy6lKrezMVRPBbGHlYup5+ETYsYn2RgMBC9jtZ15ePLPzFTeW5ERnMqCsB23S2UhZMXGkas6jro2iytR+WFNvn/3AStbmC/XZy9Q9m3HyVGwXu6dBvb+z/z3xEgvwEIqCWM5q6r2FD6osTAQs4AU0jJcXg/sGA1k5Ivca0GOsr///hvTp0+HSqWCp6cn3nnnHXTp0gVeXl6mv2iyrZuZnnTbYFvbsvY9Y+F5stBHWMOVOGB9VwMnGJfb2Rh9vkaImmKdgmiuHdWdAByfa/l18yNGv8bK+2FqPsZwnkOrdw7/+ecfJCYmokmTJvDx8dGmsiAIAMJWbBy5quOoaxu6rk8RoM0CoMo7/N95OXw0KjGCm7C4UpbxwL7lrKWgmbLgFBtOTi/Ayq6EIb/f8AbAj2WFX4MV0yKxYT3Iz5U4YPckXcXQpwjQco7g5/b6669DqVSiYsWKGDp0KMLCwsx/SUhb9wkBVGog54nuaZ/CguSy6d7G3jOxnycrfYSlqFXAtuFGTjIst7Mx+XyNYI2Vi5B2dHGl8OsZw9n9Givvh7n5WItZ/DM7+B0wfZrj5LACiz25Hz9+jBYtWuC1115DmzZtcO8e/9CHDBmidTgn3BzNik1BUwTNRPFKnLAyjry/Pa+b+QjY0J1fBdr7HjDTl094fXI+/znTlz/uaBxZp7bAaoATTuBiltBy9sKS1AKORqNQV+vFf94+Cjy3JK/cy8F590R+wHZXWH0HABP92mNgQw+j/UZSUhKWLFkCjfGRr68v5s2bh48++kiYYggIa+uZj/UVQ4CPUmpLv2bLeyb282Spj7CEw1/rmqLrwajczsbs8zUAp+IXpe16H45fMPItCpvS7Di7X2Ph/RAyH1Or+DGVwVRaFiuHkyZNgoeHB5KTk+Hr66s93qNHD+zcudOuwhESRIjz8q4J5stYO5kUcn9rri1kJS9hNv+voJOxJriJIxVER/1ue6AJeGF0cJHx5mvODsYRLjBtgNBy9kLsXQm735MmfAhvAMjMrFDLFHw5Z2JFv/H8+XMsWrQIEyZMwObNmxEfH689p0lXIRib2rCN/Zot75m2TzNDxiPLZBIKy32EMdQq4O8fhJVlSW4xsPb3p1po5SL0PtX6vPxPwTFcgMIoRqAtsd8PIf3q9uHAvEjePH3rUMfIYQMWK4e7d+/GN998o5e4tkKFCrh165bdBCMkipAVm2e3Hbeq46gVI2tW8gpy7Dve5NQRsLBSZgxNwAsARgcXgQEv7IpSYNoAoeXshdi7Eo66pztP+G4fNR+Zjnu5iuxMLOg31Go19uzZgxEjRmDr1q1Qq9Vo2LAhqlatav39bW7DNvRrtrxncgUQ/Z357+6Z7JgFOZb7CGMkHxIWtRpgS24xsPr3W7i7J/Q+FTvyrgEF8wYrSwKe/pbd0xmI/X4ItYiwdU7pQCz2OXzx4oXOjqGG1NRU847nhOtjzwmgNddy1IqRPX6XxuzDEcFNxF4pM4cmYujO8bpmiQElxfOHFJIDUYwdTTunFrArpRoD/iUtNC19iTtP+Fh9PwXe75+rF7Hwx624du0aACA8PBwjR45EjRo1bLu/2bYuEGvqzdb3zFeAKZhGcXVY/lYB6WZuxrMRnEzoM/IJEadvYwlr34uSFlq5WPIOyBX6Puhqlflgc5mPHfMOmELsMdQFFkIt3jls3Lgxfv/9d+3fMpkMarUas2bNQvPmAqJ3Ea6NPSeA1lzLUStG9vpdTxLtc52CiL1SJhSWglZpdzRNmLuKsaPJ6k4rwN+z1TwLvySS2TBLsPp+CrgfxwHzNp3GtWvX4OPjg8GDB+PHH3+0XTEEhLV1IVhTb7a+Z2Iq/EJkr9oTmF+ON1vb2Jv/nBfJvu95nQnuHYwGMPN8TRBooZWLpe9AQR90oUHknK0siT2Gij3PsgMWK4ezZs3C4sWL0bp1a+Tk5OC9995DtWrV8Ndff+Gbb75xhIyElBDiXxYQLswHTbPqeXE1/ynEPMdR/m2lGvPR+2wluJzt1zAEq359GlgNlqPZ0SzoP6SMEDfCplaugmY84eJH/qzchU8h4C0kWqTIyiwrlGpsPrqmGL45RvoNFQfkqWUAZJAFRmD46Ilo2rQpFi5ciC5duqBQoUL2k8FUW6//rvnv29Kv2fKeia3wm5I96l0g4Vu2+luzYxT4d6Dxh04TiWmMPV9jWPseSPkdMIWYY6iQts44VuU5TEtLw/z583Hu3Dk8f/4cb775JsaMGYPixaWvLTsSbZ7DJ6lQBlnouC8ltPllAIMJlbut5z9NlYl6l1cKrUnJIOT+1nQMl9fxUUmtRaYApmY4Lq2Fo363rahV/Iq1UfPNlyYe45LEUyBYyw3JulwAL9vNeOBWPP+3XAGc+UU/L6LAPHkujVoFzClmOlKjT2Fg8n3nP98C/ca150GIvVkV9YPvo0fJRPHygYU34He+zPnldP3jVRohe91byHum7dfMmK45ul+zuN5E7G+NjlEv5RJ74YtFNM/32uaX+QYL5v+00/huzTuQl8NHYzflTy103uNqealNtnVd0rPAXJ5Dq5RDwjq0yuGMElB2/NG1O0FjCbTzTxRNJtn+FjYlLxVyf2vY+57wBOAFsTZJrSW8TKqq01nLFED9yY6/tzFYSBhNOAeWlVkxYf0duBKHtK2TseyKErsflgIABHvm4pfPhsCzug0LYrYgtM6afA40/cTh4hiExQU5CbQ1h4zN7gBrdWevtsZifmZ7YCwvdqZuFGMWlUOLA9Ls3LkT/v7+aNSoEQDgp59+wpIlS1ClShX89NNPloeydkee3QXWd+VNs6Tc8E1hKIF2wYmisSTb88vB5uSlQu5vDS1mASXqAjtG6yaM1nTQd46Jp5xdiTOsVHMq/njJ+uK0N1aDcRD2R+OTQujC8DugUqmwI9ETy0/Vw4sXLwAAb9erioGj34NnYRsTzduC0Lo48QNviijGIoTGdE1vwh4u3oSd4bYGwHFjszvAWt3Zo61pF1gKzFs0JtBS3k029Lye3QE29RVbMrNYrBxOmTJF61t44cIFTJ48Gf/73/9w4MABTJ48GUuXLrW7kC7L9uHmlRwpI2SiWLDMzXjhKRksvba9qNINqNTZcAdduQvQ7Cs+KumTRN7HsPZox5mSahCSh1GIUu0IWPZLIAhn4Btq33J2IikpCd9//z3+/fdfAEDZsmUxatQoVK5c2alyGERof5CZ6vxoiPlhbcLOaFvTQexFJClbOIhdd/mxdWw3mw9Q4GYAyxia40oAi5XDpKQkVKlSBQCwYcMGtG/fHtOnT8fp06fRpk0buwvo0mQ+5v11yrwttiTswPqqpwZTHbSHp2PSVZjCkjyHzh5YNAnAzfklODsBOEE4C05t33J2wsvLC8nJyfDz80P//v3RqlUrKBSMTMJKNQa8Q4TlxmN5PHA2QmNgSDdWhm24qgmjGNiaMoLleYujsFf6HgdjcbRST09PZGRkAAD27t2L6OhoAEBISAjS09PtK507IJFVBKdBu0zWwbJSzWoCcIJwFsl/2beclahUKpw9e1b7d4kSJfD+++9j8eLFaNu2LTuKIcArXPUmCCtL48ErXghMLyC0nCvBatRsqSLldDBiYW2aEidjsXLYqFEjTJ48GV9++SWOHz+Otm3bAgCuX7+O8PBwM98mCDOwnpKBVVhWqt1xACAIxrhw4QLGjx+Pjz/+WJvMHgCioqIQGBgoomQmaPShmZQpNB7owfJYICZmTRjBmzAKSZlFvMJVU2E4EkvTlIiAxcrh/Pnz4eHhgfXr12PhwoUoWZL/cTt27ECrVq3sLqDLU7qZ2BKwhdjJS6UKy0q1uw4ABKFBaD/vgPHg8ePHmD17NqZNm4Zbt27B398fT548sft9HIJcAbRbbOQkjQcGYXksEBNLTBgJy6jcBRh/k49K2nkV/zkuybyZrju31fx11v5nsaXRg1JZOBFtKosPAKU3xMtrJQVYC9ksBVgMqw6wkw+MIMRChDyHubm52LJlC9asWYPMzEzIZDK0bt0affv2ZSZcumBoPLAMVscCMbm4GtjY23y5zquAar0cLw/BQ231lW4g5VQWycnJJs+XKlXKamHcjraLaTJsDNYiwEkBFsOqA692g9d3g9EEvrT6T7gymh2w9V2Nl7HjeMBxHD7++GNcvHgRAFCxYkWMGjUK5cuXt8v1nQ6NB5bB6lggJmTBwibUVpnE4p1DuVwOmcy4E6VKRfbaxtCuDkwvDmWn+dToCcfAaphuWv13PVhta6xyJQ7YOR54fufVMQdFSty9ezeWLVuGQYMG4a233oJcbrEXCSF16P18BVmwsI0bt1WX2Dk8c+aMzt+5ubk4c+YMvvvuO3z99dd2E8ylMaFcE4TNsBRWPT8sr/678cBkNRQS3nIc9A7k5uZi48aNiIiIQFRUFACgRYsWaNiwIfz8/OwhOSFFWB0LxIAsWNjGHduqZt6Rkii2JHrYzedw+/btmD17NuLj4+1xOZdE1+dQ5ha21ATBPKTkWI7WT6Tg8OE+fiKscOrUKSxatAh3795F0aJFsXDhQnh7e4stFkGwCVmwECyQrx2mZwGB0yHtnUNjVKxYESdOnLDX5dyD3RP5VWRaqSIIcTCm5GjyXpGSo4/ZkPAy6tucwP3797FkyRIcO3YMABAcHIz+/fvDy8tLZMkIgmFYtmAh3AOji6vsYLFyWDDRPcdxuHfvHj777DNUqFDBboK5PvnCJrvbVjpBsAApOdZhSUh46tvsTk5ODjZs2IB169YhJycHcrkcHTp0QO/eveHr6yu2eATBPu5owuhoyDVDGCbnHexgsXIYFBSkF5CG4zhERERgzZo1dhPMbaDE3wQhDqTkWIfQPov6Nodw9epVrFy5EgBQvXp1jBgxAqVLlxZZKoIg3BZyzRCO2XkHG1isHB44cEDnb7lcjqJFi6J8+fLw8LCblar7QGGTCUIcSMmxDgoJ73SysrK0foTVq1dH+/btUblyZTRu3Nhk9HCCIAiHQq4ZliGR+YTF2lzTpk0dIYcb8jJscqnGYgtCEO4JKTnWUaoxvypsLiQ89W02k5WVhXXr1mHHjh348ccfUbhwYQDAiBEjRJaMIAi3h1wzLEci8wmrEh8lJiZi3LhxaNGiBVq0aIHx48cjMZG9UKzMQ2GTCUI8NEoOjO28yPgodqTk6KIJCQ9Av+4oJLw94DgOR48exahRo7B27Vqkp6dj//79jr+xWgXcjAcuruY/1ZS3mCAII1jimkHwmJ13sIHFO4e7du1Chw4dUKNGDTRs2BAAcOTIEVStWhVbt25Fy5Yt7S6ky6EsCXSYR1vtBCEmOnmvjEBKjmEqd+HNhfRCwodTSHgbuX37NhYtWqTNKVy0aFEMGzZMm7/QYZDfEOFMKICJMFiuJ3LNsByT+TbZweI8hzVr1kRMTAxmzpypc3zq1KnYvXs3Tp8+bVcBXQltnsMnqVAGBYstDiEWju7sWR5MWGTve8Cx7wAu3y6JTAHUnwy0mCXsGu5Y52oVkLQPOL8cyH0ORDQC6owDPDzFlkyyrFixAuvXr0deXh48PDzQtWtXvPPOO47PW0h5KwlnQgsRwmC9nm7GA8ubmy/X7wAFdSsI43kOLVYOvb29ceHCBb20FdevX0f16tWRlZVlVwFdCa1yyFADIJyMozt71gcT1rDHpNgd6/xKHLBtOJD1WPe4T2Gg7WLX/d32wMRCwq+//oq4uDjUqVMHw4YNQ4kSJZwjz7xIE+ZhL31IxyW5/oIH4XhoIUIYUqgnbd9hxv+c+g7DvBwL0lMSERg1lCndwGKfw6JFi+Ls2bN6x8+ePYvQ0FB7yEQQrommsy84CdNE9boSx/b1XQ2zzvTgnelN+V25Y51fiQPWd9VXDAEg8zF/zhV/tz24EsdPppY3Bzb2xq1F7ZE8vaK2vnr27IlPP/0Un376qXMUQ4D8hgjnYY8+1x2QSj2R/7ltaPJtVnlHbEn0sFg5HDZsGIYPH45vvvkGhw4dwqFDhzBz5kyMGDECw4YNc4SMBCF9HN3ZS2UwYSngha2TYqnUuT1Rq4Cd482X2z3BtX63Pci3kJCR54Gfb1XG+IuN8ePFUKjX8QsJvr6+qFOnjnPlIr8hwlnQQoQwpFRPGv/zgJK6x5XhbOxuAmzNOySCxQFpPv74YwQEBGDOnDmYNm0aAKBEiRL47LPPMH68gEkDQbgClvqYOTrhuhQSurNmfmnrpFgKdW5vkg8Bz++YL5d+27V+t628XEjgOA7xj0vi1+RKeJLL+xEGFspBlsoDvmKFfKeULoSzoIUIYUitnip34fsuFv3uWZt3SASLlUOZTIZJkyZh0qRJePbsGQAgICDA7oIRBLNY09k4urNnfTBhMVGurZNi1uvcEVjyW1zpd9tK8iH8m5KG2FtRuPwsBABQwvs5RpS+jFpBD/kyYi0kUN5KwlnQQoQwpFhPGhNJlmBx3iERrMpzqCEgIIAUQ8K9sNbHzNGdPcuDCavml7bmOWS5zh2FJb/FlX63jVy8cA4TLzbG5Wch8JLnYUDEVfz0+qFXiqEGMRRq8hsinAXllhUG1ZPtsDrvkAiCdw5r1qwJmcx80kZKZSGAW4eAqq1osAWklQJAaGdjyDTM0avzLK/+s2p+aTLfkIBJMct17ihKNQb8S5o3LXW1320jlau+jjK+61HC+wUGl7qCol5GonqLpVBT3krCGdja57oLUqwn1uZyrM47JIJg5bBTp07a/3MchxkzZmDkyJEICQlxhFyuzZp2QFGyeZacLbjZzgbGOxtHd/YsDyYsm1/aMilmuc4dhVwBtJrHRyQ1RfQPrvW7LeSff/7Bhg0bMHHiRHh5eUER2RQz6ybDJzPZ+JfE3glg2W+IcB1oIUIYUqonFudyLM87JIDFeQ41BAQE4Ny5cyhbtqy9ZXJZtHkOPwCU3gzlqhEDKeTwKciFlcCmvubLdVoBvN7H8DlDnagywn6dvaOvbw1SSJRry6oni3XuaCjPoUHS09OxfPly7Ny5ExzHoU/L6ujVMZpvT/unAQmzjX85agrQYpbzhCVcH9Z2c/KTlwOcXAA8SQSCywG1RwMenmJLxV6dsSZPQVidy0lh3vESFnOgk3LoRHSVQ8BtE4RKNenysbnAnknmy7X8Hqg/0fh5R3f2rA0m7pAol7U6dwaa8OC34vm/I5sBpZu5/u82gEqlwp49e7Bs2TJtoLamhe9gcKkrKOyZza+i52Yazg2pQRkh7XeAYIsrcXzamfwm4P4l+Z1/sRdvWNxpYlkuVjE7l4N4/ZqE5h0sKocWRysl7Imb2jxL1Rbcr6h9yjk6qhdrUcOkYH5pq3LHWp07A7kCKPs2/8+NuXbtGmJjY3Hjxg0AQKRPOkZGXkI1ZeqrQubM0QHx+zyWFzhYlo1FrsQZNv1+foc/3m2DeMoOqxEkbZHLXdunLa42jkauAKr1Mm2t4Yx5h0TbBimHLCC2zbOzG69UbcELJnm1tZw7wbL/BK0WEzawbt063LhxA76+vugTfgPtgs5BIbPKIEfcVDOsvgMsy8YiahVv8m2K7cPFyalpNqibzHhQN1blcuf2+UxAzltLytmTK3FAwrfGz0e96/jnI+G2IVg5nDdvns7feXl5+O2331CkSBGd4+PHj7ePZO6EmCHfxWi8Uk0BoI1OacaEgqI0GobFgBesrmITzKJSqZCdnQ1fX18AwNChQxEQEID+zcsjeHM72y4uRp/H8jvAsmyscjPetPkyAGQ+5ss5e9efVasha+Vy9/b54qH5MpaUsxcmlf2XXFoDvDXDcfMPibcNwcrh999/r/N3WFgYli9frnNMJpORcmgpASKGfBer8Uo1BYCOeaQRucU2j2QdlswvWV3FJpjl8uXLiI2NRdmyZTFx4kQA/Fg4YcIE4OJqG64sUp/H8jvAsmwso/EBFlLO2cohq1ZD1shF7RPwLWzfcvZCbHNXF2gbgpXDpKQkR8rhvtQcJk7jELPxSsEHzRhGzSNdPDqlK8LqKjbBHE+ePMHSpUuxf/9+AMDDhw+Rnp6uGzzA6l0/Efs8lt8BlmUjrINVqyFr5KL2CWSY2aG2tJy9EHsRwgXaBvkcik3hCuLcV+zGy7IPmjlYNI/Mj0QdoJ2O2AMIwTx5eXnYvn07Vq5ciYyMDMhkMrRs2RIDBgzQjyonxOzcpzCg8NaNIClmn8fyO8CybCwT2Qw4/JWwcs6GVasha+Si9mm/IH32RuxFCBdoG6Qcio1YfnUsNF7WlSxTsGQemR8JO0A7HbEHEIJp/vvvP8ycORO3bt0CAFSoUAEjR45ExYoVDX9BSHS8GoOBZl+xk9+N5XeAZdlYpnQzfhEi08RujU9hvpyzYdVqyBq5qH2yG6RP7EUIF2gbcrEFcF9k4gYvYaXxapSsar34Tykohqyi8SEtuHOh8SG9EieOXKyiGUA0g78eIr+jhKgEBwdr806NHTsWc+bMMa4YAvyOvTm/w7O/AvPL8flST87nP+eXE+/dZPkdYFk2lpErgLaLTZdpu1i8sVZjNVRQYVCGixukw1K5qH3mqwMTiFEHGmUfgP7zccIihAu0DRnHcVbG3CYsRZvo8gNA6S0TtyOUUIJQQgBmk9HS8zSINigTYHC1mPGIYoT9yM3NxeHDh9GsWTPIZPzzv3LlCsLDwxEQEGD+AjfjgeXNrbizyG2N5XeAZdlYx5AViTIciGbEioRV9wdL5KL2yXYdGHwHnBQfwoJ60eoGLxcjWYCUQyeibQAzS0LZYZ74nQbLLzVhGUInpv0OsGkOKyZiDiAEE5w9exaxsbG4ffs2pkyZgqZNm1p+kYurgY29rZRA5MUblt8BlmVjHVYVMFeC2ifbdSDmOyCwXiSrHKanpwu+ICs/jEW0DeBJKpRBwWKLw8PyS00IR+jEtPMq3oSX0IUmUW7Jw4cP8fPPP+PIkSMAgMDAQIwaNQqNGjWy/GJW7xzmQ8zFm7wcdnwhC0LvJ8Ey1D6pDowhoF5YVA4FBaQJCgrSmtmYQ6VS2SSQW8DSC8NyUBjqbITDig+pVGE1wJArI+L7nZubi40bN2Lt2rXIzs6GXC5H27Zt0adPH/j7+1t3UbNBEARgjwBg1tSroUXCY3PYCWTF6vtJYxQBOLZ9SqWNsfqOio1E60WQcnjgwAHt/2/evImpU6di4MCBiIqKAgAkJCRg2bJlmDFjhmOkJBwLi42Xom5ahtjRuQjCEkR+v7/55hscO3YMAFC1alWMHDkSZcqUse2iJiMeCsTWxRtr6lXrXlBAXk0gK3IvMAyNUYSjoTZGiITFPodvv/02hg4dil69dE3TVq1ahcWLFyM+Pt6e8rkULG4dM4mxyQr5QpqGfEgJKcDA+33+/Hl8++23GDRokE4AGrtgbEKXlwlkpsJhAcCsqVcKZGUdDLRhwsWhNuY2sKgbWKwc+vr64ty5c6hQQTd5+/Xr11GjRg1kZGTYVUBXgsUGwBw0WbEN8iElWEaE9zs7OxtxcXHw8fFBp06dtMdzcnLg6ekgnzpDpmDXNjtu8cbaeqVAVpZDYxThaKiNuRUs6gaCzErzExERgSVLlmDWrFk6x3/++WdERETYTTDCTUk+ZKJDBAAOSP+PL0eTFX1Y9iElCCe+3xzH4fjx41i8eDHu378PLy8vNG3aFMHBfDAwhymGgGFTfU0eNYPpBebatnhjbb0K9XG0hy+kq0BjFOFoqI0RImOxcvj999+ja9eu2LFjB+rVqwcAOH78OG7cuIENGzbYXUDCzaDJiu2w6ENKEIDT3u+7d+9i8eLFOHnyJACgcOHCGDp0KIKCgmy6rs04avHG2nqlQFaWQ2MU4WiojREiY7Fy2KZNG1y/fh0LFy7E1atXAQDt27fHyJEjaedQKEnxwOtt2djNYS0SFk1WzMPaMyPcE2vaoYPf76ysLKxbtw4bNmxAXl4ePOQydKqhRI8Wr8Mnqh5gT99Ca3HE4o219cpSICup9GusjVFSqTeWYL3OWGtjGkzVG+t1SliExT6HhPVo7Yo/AJRBhYF2i8X1A2MxEpbW1t7MZMVdbe1ZfGaE+2FtOzTrSwPeR9bK9/vOnTsYM2YM8vLyUDPwEUaUvohwnxf8SZkCqD8ZaDHL9EWkiC39JguBrKTUr7E0Rkmp3lhBCnXGUhvTYKreAPbrlGFY9DmUW/OlQ4cOoW/fvmjQoAHu3LkDAFi+fDkOHz5sV+FcmqzHwPqu/AsnBpoJQcFJmiZ8uVhyacLBGw0Dz/H+Oe6qGLL4zAj3wpZ2KFcA1XoZPw8AVXta9H6npaVp/1+yZEkMbFAYH1Q4iS8q/v1KMQQATgUkzAb2vif42pJB228CWqVOy8u/jfWbGl/IgJK6x5XhzlMMpdSv2VLX9kRq9cYCUqkzVtqYBpP11pX/x3qdEhZhsXK4YcMGxMTEwMfHB6dPn0Z2djYAfoCePn263QV0eXZN4FeJnIlaxd/XoAL28tjuic6XizAOPTOCBWxth2oVcHG16XtcWiOoHWdmZmLp0qUYOHAgbty4wR/My0GnnGVoEHLfuAXpse+AvByz15cctih5lbsA42/yUUk7r+I/xyU5XjGUar8mtkIt1XoTE6nVmdhtTIOQejMIg3VKCMZin8OvvvoKsbGx6N+/P9asWaM93rBhQ3z11Vd2Fc4teHbb+RGnWI6Epe2IjCHjO5uKHd1r95DlZyYVpOoTwZLctrZDs9+H2XbMcRz++usv/Prrr3j8+DEA4MiRI3x6pZML+B1CU3Aqvlz9iabLSRFbAt6IEchKyv2amJGhpVxvYiHFOmMh+riQPtsoTqpTlsZIF8Fi5fDatWto0qSJ3vHAwEA8ffrUHjK5H86OOMVyJCwpduDOgOVnJgWk4GdiCNbktrUd2vj9W7duYdGiRTh//jwAICwsDMOHD0fdunX5Ak8ShV1faDlH4OiJjJSiFUu9XxOrrqVeb2Ig1ToT+322R304sk5ZGyNdBIuVw7CwMPzzzz+IjIzUOX748GGULVvWXnK5F86OOMVqJCxAuh24o2H5mbGONuBGARMYjU+EM010LIFFuW1thzZ8f/Xq1Vi9ejXUajU8PT3xzjvvoGvXrrr5CoPLCbu+0HL2hiYyulC/Zh1Ub5ZDdWYd9qgPR9Upi2Oki2Cxz+GwYcMwYcIE/P3335DJZLh79y5WrlyJd999F6NGjXKEjK6NTxHnhAnPjyZ8uZ6jswYZHzHQ2XIB1IEbg+VnxjJS8zPRwKrctrZDG74fFBQEtVqNqKgoLFy4EL169dJPZF97NB+V1BQyBV/O2UglGIYzoX7NOqjeLIfqzDrM1pspHFinrI6RLoLFyuHUqVPRu3dvvP3223j+/DmaNGmCoUOHYsSIERg3bpwjZHRt2ixwvm00a5Gw8kMduGFYfmYsY4mZMkuwKret7dCC7//7779a81EAiI6OxsyZM/Hhhx+iWLFihq/v4cmnqzBF/cl8OWdCExnDUL9mHVRvlkN1Zh1C6s3UOUfVKatjpItgsXIok8nw4YcfIjU1FRcvXsSxY8fw8OFDfPnll46Qz7WJmgJUeUece7MSCasg1IEbh9VnxjJSNVNmWW5b26GZ7z+PiEZsbCwmTpyI72fPQNbp5cDNeChkQLVq1czL12IW37cW3EGUKfjjYuQ5pImMcahfsw6qN8uhOrMOk/W2gf/n7DpleYwUiloF3IwHLq8TWxI9ZBzHmYpFq8fgwYPxww8/ICAgQOf4ixcvMG7cOPz66692FdCV0Ca6/DIEyi6LgCrdzH/J0bAa5cmQb44yglcM3b0DZ/WZscjNeGB5c/Pl+uzl65CVOhUqd78D4gUrsLIdqlQqXLp0CU8eP0Zw7n+oGqaAQlkS6vCG2Lv/AJYtW6bNXdg45C5GRl5EYKFcy33z8nL4qKRPEnkfw9qjnb9jqOHiamBjb/PlOq8ynwfSVaF+zTqo3iyH6sw6TNWbs+tUCmOkKfLNcdOzgMDpfEpApVIptmQArFAOFQoF7t27h9DQUJ3jjx49QlhYGPLy8uwqoCuhVQ6fpEIZFCy2OOxDHThhK2oVMC+S9+syaNInA3xCAA8ftoKECJFbGc7nopPQO3H06FEsXrwYjx490h4rUqQI2rdvj6NHj+LatWsAgAjvZxgReQk1Ah/n+/ZLywEprvBLfSJDEATBElIeIwsE0mFRORQcrTQ9PR0cx4HjODx79gze3t7acyqVCn/++aeewkgYwd38SqxF7BDOUoWU6ldozJTXdwOvXOQfRF7+nflY/3tiRzszKzckZ1599OhRTJ8+Xe/4o0ePsHTpUgCAj483eoX/i/ZBZ1FIXnDA5yDZPKcaX2pzExl386UmCIKwBqmOkSb9z9lBsM9hUFAQQkJCIJPJ8NprryE4OFj7r0iRIhg8eDDGjBnjSFldh++KAXvfE1sKwhW5Esevpi1vzpuxLW/O/+2OkRA1GPOXCCgJ+BQ28iUGgoS4kH+MSqXC4sWLTZbx8vLCTx/0R5eQMwYUQw0S9c0jX2qCIAj7IsUx0qz/ORsI3jk8cOAAOI7DW2+9hQ0bNiAkJER7ztPTE6VLl0aJEiUcIqTLwamBhNn8/8UIjkC4JpTzxziVu/C7Tfl3VDkVsKKFiS/lU0TE2sE2JLcEd4IvXbqkY0pqiOzsbKQk/wtB9icsBxkwhmYio+dLHU6+1ARBENYgtTFSImOXYOWwadOmAICkpCSUKlUKMpk1OU8IHY59BzT7SrwgCYTrYDZUvkTN8exJQTPli6uFfU/sztyR5tW2mCDnZAJ7pwCpN4CQCkCL2YCnj8GiT548EXTJJ7lewu7tUxg4NpeNYDOWILWJDEEQBOtIyQVJIjm6BSuHGvbv3w9/f3+8845uCoZ169YhIyMDAwYMsJtwLg+n4qPp1Z8otiSE1LEkVL5UOlFHI7STlkhnbjGGIgILDcSzthNwffOrv5N2A6d+Al7rAPTYrFNUpVLh6tWrgkQKrhAF3Dbjm+fpB6xuzVtgaNj7Lp+/UAqWGFKayBAEQRD2I7wBn1aJYzv2iMV5DmfMmIEiRYroHQ8NDTUYbIAww5NEsSUgXAGp5PzR5PW5uJr/FDM4kyZIiJ4PmAYZnz7FFYOEaEyQCy4oaEyQTfmoFlQM83N9C/BzXe2fly9fxsSJE7F161azIhUpUgRVq71uxjePA3Ke6yqGAD/QJswmX26CIAiCXW4fZV4xBKxQDpOTk1GmTBm946VLl0ZycrJdhHIrcp6LLQHhCkhhF4y1YDnuGiTErAkyjAfiyck0rhhquHdCa7J75MgRJCUlwd/fHzExMSa/Nnz4cCgUChMBhErA7JB17Ds+vyFBEARBsIbYC/QCsVg5DA0Nxfnz5/WOnzt3DoULG4v8Z5gZM2agTp06CAgIQGhoKDp16qTNc1UQjuPQunVryGQybNq0SedccnIy2rZtC19fX4SGhmLKlCl6+Rbj4+Px5ptvwsvLC+XLl8dvv/2md4+ffvoJkZGR8Pb2Rr169XD8+HGd81lZWRgzZgwKFy4Mf39/dO3aFffv37foN+vx7x5KbUHYDuu7YLbsVDkS1qOdOWKn1RIT5ILsnWLy0nlqGZ7keAHbhgFqFfr06YOOHTti0aJFGDduHD744AM9y5MiRYrggw8+QIMGDV4drNwFGH+Tz/vXeRX/WW8SgAI7hnqivzTVJwiCbViyIiEIZyERNxWLfQ579eqF8ePHIyAgAE2aNAEAHDx4EBMmTEDPnj0tutbBgwcxZswY1KlTB3l5efjggw8QHR2Ny5cvw8/PT6fs3LlzDQbBUalUaNu2LcLCwnD06FHcu3cP/fv3R6FChbRmrklJSWjbti1GjhyJlStXYt++fRg6dCiKFy+uXc1eu3YtJk+ejNjYWNSrVw9z585FTEwMrl27ps3fOGnSJGzfvh3r1q1DYGAgxo4diy5duuDIkSOWVuMrnt8hPzDCduQKoFqvV1FwDSHWLhjrwXJYDRJii0+gKWwxQU69YbT4hfQQxN6sCj+PPHxTOQGy5EPwjWyGYcOGacs0aNAA9erVw6VLl/DkyRMEBwejatWq/I5hQQr65l3ZIExuMtUnCLZxVN9GEKxjNuctG8g4jrNIupycHPTr1w/r1q2DhwevW6rVavTv3x+xsbHw9LQ+YtzDhw8RGhqKgwcPahVPADh79izatWuHkydPonjx4ti4cSM6deoEANixYwfatWuHu3fvolixYgCA2NhYvP/++3j48CE8PT3x/vvvY/v27bh48aL2mj179sTTp0+xc+dOAEC9evVQp04dzJ8/X/ubIiIiMG7cOEydOhVpaWkoWrQoVq1ahW7dugEArl69isqVKyMhIQH169c3+/vS09MRGBiItA8ApXe+E51X8RN7grAWY2ksNERNES9Yx8143oTUHP0O0CKJBqPP8+UCmS27mrY8jz/H8oFn8vEoxwtLkyvj4GN+91XpkYM5VY+geK+f7duvHZsL7JlkvlzL7ynIF0GwiiP7NoKQAtp3AAA4pGcBgdOBtLQ0KJVKUUXTYLFZqaenJ9auXYurV69i5cqViIuLQ2JiIn799VebFEOArxgAOjkUMzIy0Lt3b/z0008ICwvT+05CQgJef/11rWIIADExMUhPT8elS5e0ZVq00M1nFhMTg4SEBAC8wnvq1CmdMnK5HC1atNCWOXXqFHJzc3XKVKpUCaVKldKWKUh2djbS09N1/hlEItvMBKOY3Jl7yaU14pntSCVYDivY4hMoBFtMkFu82pnOVcuw4W5ZjDrXDAcfl4QMHNqE3sKiN+JR3DvD/v1a7dF8lDdTyBR8OYIg2MPRfRtBSAGNO4tPiPmyImGxcqjhtddewzvvvIN27dqhdOnSNguiVqsxceJENGzYENWqVdMenzRpEho0aICOHTsa/F5KSoqOYghA+3dKSorJMunp6cjMzMSjR4+gUqkMlsl/DU9PTwQFBRktU5AZM2YgMDBQ+y8iIkK/kKtGQySch1kfMhj3IXMGUgiWwxK2+AQKwZZAPJ4+wGsd8CDbB+MuNMHS/yojU+2BSv5P8H21wxhd5iICPHId0695ePLpKkxRf7I08h0ShDvi6L6NIKRE5mOxJTCKIJ/DyZMn48svv4Sfnx8mTzY9OH/33XdWCTJmzBhcvHgRhw8f1h7bsmUL9u/fjzNnzlh1TbGZNm2aTn2lp6frK4gt54jv20RIG9Z35rQ29iYmBbRI8gpnPE/NymVBvx9lOK8YmjLr6rEZhdPqwuOaGoEe2RhU6ireKnIbcq2eKXOcf6vGNPrYd7rhwGUK6eQ5dDZqFXv+tIR7wvpYRRDOQLuDzi6ClMMzZ84gNzdX+39jGAoYI4SxY8di27Zt+OuvvxAeHq49vn//fiQmJurt1nXt2hWNGzdGfHw8wsLC9KKKaiKIasxQw8LC9KKK3r9/H0qlEj4+PlAoFFAoFAbL5L9GTk4Onj59qiNP/jIF8fLygpeXl+kf71vU9HmCMIfQHTcTwUQcipBgOVV70oRVg7N2Wi0IxJObm4sdO3agVatW8PT0hGL4cbxfPhbBR6fCn0t7VVAZYV65tJUWs4BmX/FRSZ8kAsHleFNS2jHUhwJ/ECzBihUJLZgQYiLE2ktkBCmHBw4cMPh/W+E4DuPGjcPGjRsRHx+vlz9x6tSpGDp0qM6x119/Hd9//z3at28PAIiKisLXX3+NBw8eaKOK7tmzB0qlElWqVNGW+fPPP3Wus2fPHkRFRQHg/Shr1aqFffv2aQPdqNVq7Nu3D2PHjgUA1KpVC4UKFcK+ffvQtWtXAMC1a9eQnJysvY5V0AoZYSulGgP+JfnIt6Y4swRo9KHzB0G1Spv3ziiX1gBvzaABGhAQzUzG7/DZY6e1YERQA5w8eRKLFi3CvXv3kJmZiR49egAAIt4aCTQbJs4ky8OTgs6Yw1jgD036GAr8QTgbZ/ZtxqAFE0JsJDDvtziVhT0ZM2YMVq1ahc2bNyMgIEDruxcYGAgfHx+EhYUZ3JUrVaqUVpGMjo5GlSpV0K9fP8yaNQspKSn46KOPMGbMGO2u3ciRIzF//ny89957GDx4MPbv348//vgD27dv115z8uTJGDBgAGrXro26deti7ty5ePHiBQYNGqSVaciQIZg8eTJCQkL+396dx0VV9X8A/wwDwyIMuCGKIOaKS5praG5JYuqTa7mnlimuj1pq9mha/YoeSzNzQR+3sswdNbfcd9SyXEhTM5FScEkBEdlm7u+Pca4M6wAzc88Mn/fr5Qu5c+bOYebcufd7zznfA61Wi3HjxiEkJMSsTKX54jwrKiknNdBkBHBkZsHlkv9WZtmUosyJZLbSp3MCN/aBYQ5g9ouoQuYEWlBCQgL+97//4dSpUwCAsmXLonLlHN9XZgSXlIMtei1EXz6GSielv9t4w4REYAfX/WYFh716mX+wbN5s/mLWixcvBgC0b9/eZPvKlSsxdOhQs/ahVquxfft2jBo1CiEhIShTpgyGDBmCDz/8UC5TvXp17NixAxMnTsSXX36JqlWrYtmyZfIahwDQt29f3L17F++//z4SEhLQuHFj7N692yRJzRdffAEnJyf07t0b6enpCAsLw6JFxV1w2QZ3yOydSEM/RKpLXsrXMq+cEnesOM+k6EoyJ7CE0tPTsWnTJmzcuBEZGRlQq9V45ZVX0L9/f3h4eFjtdUsFW/VaFCXxB4N7sqXgXkDIO3nMG3YyzBs29zgo6jnZEW6YiH4dUhoV5zOxg7UOzQoOvb295f9LkoSoqCh4e3ujWbNmAAzLPCQmJhYpiDTuq6jyek61atVyDRvNqX379oUmthk7dqw8jDQvbm5uWLhwIRYuXJhvmSJRalFyeyDS0A+R6pIfUeZylOQ17eBumk0VYU6gJS1ZsgR79uwBADz77LMIDw9HYGCgVV+zVLBlrwVvyJCoLm0Goj9HruNA0hm2+z9f+HFQnHOyvd8wsYfrkNKmuJ9JgT3oYlBJRYzQpk6divv37yMyMhJqteEiRafTYfTo0dBqtfjsswKSTpRyycnJ8Pb2RtKn/tC+Mp8HdH5EWiRXpLoURK8D5gcVPpdj3HVl5hyKWjfK5datW5g5cyaGDBmC1q1bFzvRGGUjHwP5XZxa+BiIPQSs7lB4ucEHxbwQJsdkieOguOfkmO+BqAGF17HnGkMCNZHYy3VIaWKJz+RJcJl89294f2JY612r1VqjtkVW5HUOV6xYgXfeeUcODAHD0M5JkyZhxYoVFq2cwxp5gQdyfkRaJFekuhSmJGvXWZvIdSvl0tLSsHr1anmIPwBUqVIFkZGReOGFFxgYWoqt13czDlvKdbwZqbh8DNleSY+DkpyT7XUEiz1dh5QWlvpMgnsB42OBftstWz8LKHJwmJWVhd9//z3X9t9//x16vd4ilXJ4vAjOn0iL5IpUF3MY56l5+Ztu11ZV/s6iyHUrhSRJwvHjxzFq1CisW7cOO3fuRFxcnPx49pt/ZAG2HubJGzIkopIeByU5J9vrDRN7uw4pDSz5mTipgWqCtTkUI1vpsGHD8Oabb+LatWto0aIFAODUqVP49NNP5cyeRMUm0lwZkepiLoXmqdl93UqRv/76C0uXLpXnYPv6+mL48OEICAhQuGYWJlLyBiV6LRRMakTZiNQOlVbS46Ak52SlM6UWlz1ehzi6UvCZFDk4/Pzzz+Hn54c5c+YgPt7wh1euXBmTJ0/G22+/bfEKOiR2/+dPpKEfItWlKEReXkDkujm4x48f4/vvv8fWrVuh0+ng4uKCPn36oHfv3nBzcyv6DkW+6BUteYNS67vxhoyylG6Hoh2jJT0OSnpONveGiUjvm71ehziyUvCZFDkhTXbJyckAIMwEStHJCWkiqkDb/Sveuc2LSMlLRKoLUQmlpKRgxIgRSE5ORvPmzTFixIjc6xaaS+mL3oKImrxBrheQZ68Fh1c7FqXboajHaEmOA0udkwsK/kR733gdIh4LfyZybGDPCWkAw7zDffv24fvvv5cTFty6dQspKSkWrZzDenjL8OV4yfw1IUsNkebKiFQXKr30OkP2yZjvDT+LMPIgPj5eXv7H09MTo0ePxvvvv4+ZM2eWLDDc2Cf3nAvjkgxKfq+JnLyB825LD6XbocjHaEmOA0udk40jWBr0N/zMHhiK9r7xOkQ8peAzKXLP4Y0bN9C5c2fExcUhPT0dV65cwTPPPIN///vfSE9PR2RkpLXqavfkuwPvAVo33u0pUF5377QBysyVEakuVLoU8y72o0ePsGbNGvzwww+YMmUKXnjhBcvUx9ZLMhSVPSzhINKQNbIOJduh6MeoUUmOA2uck0V/33gdIh4LfSYi9hwWec7hv//9bzRr1gznzp1D+fLl5e09e/bEW2+9ZdHKOTbBF1xVmkhzZUSqC5UelzYDG3vn3l7AoumSJOHgwYNYsWIFEhMTAQAXLlywXHAo+kLSoiYKYEBYuijZDkU/Ro1KMv/cGudk0d83XoeIx4E/kyIHh0ePHsWJEyeg0WhMtgcFBeHmzZsWq1ipYcfZjKxOpOQlItWFHJ9eB2wfkc+DEgCVYVhane7yiejPP/9EZGQkLl68CADw9/fHiBEj0LRpU8vVS9Tgy0jERAGizWEi61OyHYp+jFqKpc/J9vC+8TpEPA76mRQ5ONTr9dDpco+T//vvv+Hl5WWRSpUqdpzNiIis5NjHQNo/BRQwvYu9adMmfP3119Dr9XB1dUW/fv3Qo0cPuLi4WLZeIgZf2SmVFTQ/+SUlKaD3lxyAku1Q9GNUVHzfSoajIxxKkRPSdOrUCfPmzZN/V6lUSElJwcyZM9GlSxdL1s3BCbrgKhEpS68DTn1ZeDlAvotdo0YN6PV6tGnTBpGRkXj11VctHxgC4i8kLVKiAKWTkpBylGyHoh+jouL7VnyXNhvma67uAEQNMPycH8Ski3asyMHh559/juPHj6NevXpIS0vDgAED5CGl//3vf61RR8dl59mMiMgK4o4CafcLLPLHIy0O/1NZvovduHFjfPXVV5g6dSoqVqxovbqJFHzlR5SsoEWZw0SOR6l2aA/HqIj4vhWPiBleqcSKtc5hVlYW1q1bh3PnziElJQVNmjTBwIED4e7ubo06Ogw5I9Gn/tC+Mp/DiYgot5jvDXdf85Cc6YJv/q6DH+8Ewk2tR+Syr1G+oq+NKwj7yJyXlQH8vAh4cA0oWwNoNhpw1hT+PEsp4HM00XONIaU+OSalhtvZwzFqLaJlQnVUomd4tRMiZistUnCYmZmJunXrYvv27QgODrZmvRyS3AAe3IfWp6zS1SEiEeWRBl8nAXvuBOKbv+vgYZYhwGkXXB7D35uHsmUV+i4ReY6JCElg7GFZDXJsIh+j1mKJY780vm/Fwe84ixAxOCxSQhoXFxekpaVZqy6lB79kiCg/OZJZ/P7QB5E36uOPRz4AgCD3ZITX+QsNPvxD2e8SUbO0iZIERrTkOFT6iHqMWouljv3S9r4Vlz1keKViKfKcwzFjxuC///0vsrKyrFEfIqLSLdvclweZrnj30vP445EPPNSZGFHtN3zZ8DgaDJzDm0x5ESkJDOcwEdmOSMe+o9LrDL2FMd8bfpYxc0oDM7zanSIvZfHTTz9h//792LNnDxo2bIgyZcqYPL55MyefEhEVlyRJUD1JZlF2xwh094tFUqYGQwJ/R1mXDMCtvNJVFJdoC1kbk5LkHObmUQFoMBBwL2e44GKASFQyoh37jiav4bqe/oB7eeDxfXB0hGMpcnDo4+OD3r17W6MuRETmUzrhiBX89ttvWLp0KcaPH48aAPD4HwwN+Aeq7B1Pafe5Rl5+RBzmFNwLqNPdcFF6eStw4Vsg9S5wep7hn63nQhI5IhGPfUeR33DdlFvZtqlyPM7REfasyMHhypUrrVEPIiLz7ZsCnJwLSNmGCO17B3h+EhA6W7l6FdP9+/excuVKHDx4EACwevU3mOWzAgBMA0MAhhOwyjBEqk53nnizE3Uhaye14e766S+h+FxIIkck6rFv7wodrqsyjIBwds+R4bUqM7zaMbODQ71ej88++wzbtm1DRkYGOnbsiJkzZ3L5CiKyrX1TgOjPcm+XdE+320mAmJWVhe3bt+O7777D48ePoVKp0KlTJ7zeoQYQ9WEBz+QQqTyJmgTGnAssBvtExSfqsW/vzBmu+/gfYOA+w3cXM7w6BLMT0nz88cd477334OnpCX9/f3z55ZcYM2aMNetGRGQqK8PQY1iQk3MN5QQXExOD8ePHY9myZXj8+DFq1aqFzz//HOPGjYM3kszbCYdImRI1CUxR5kMRUdGJeuzbO3PPMal3DDcqG/Q3/OT7bNfMDg6/+eYbLFq0CD/++CO2bNmCH374Ad999x30er0160dE9NTPi0yHkuZF0hnKCe7GjRuIi4uDVqvFuHHjMGfOHNSpU8fwIIdIFZ8xCYyXv+l2bVXlhm5yPhSR9Yl47Ns7notKJbOHlcbFxaFLly7y76GhoVCpVLh16xaqVq1qlcoREZl4cM2y5WwoMzMTd+7cgb+/4cKlc+fOSElJQZcuXeDl5WVamEOkSiZ7EhgRhjnxAsu+cBF0+yXasW/veC4qlcwODrOysuDm5mayzcXFBZmZmRavFBFRnsrWsGw5G/n111+xZMkSZGZmYtGiRXB1dYVarUbfvn3zfoJxiNTGPmAWuGISaSFrXmDZj7xS9jOjrH0R6di3dzwXlUoqSZLyOlPl4uTkhJdffhmurq7yth9++AEvvviiyVqHXOcwf8nJyfD29kZSUhK0Wq3S1REf795STlkZwKceBQ8tVamBd1OFWNbizp07WLZsGU6cOAHAsBTQBx98gBo1zAxe87pQ1QYwC5w9ktPBA3leYHHYm/LyS9nPz4hKO56LrEbE2MDs4HDYsGFm7ZBLXeRPxAYgLN69pfzkl63UKGSy4tlKMzMzsXnzZqxfvx7p6elwcnJCt27dMGDAAHh6ehZtZ7xJ4jh4gSUuvQ6YH1RA4qAnvbvjrvP4o9KJ5yKrEDE2MDs4pJITsQEIiXdvqTB5rXOoUguxzuHDhw8xadIkxMcbkovUr18f4eHhqF69uqL1IkHwAktMsYeA1R0KLzf4IIcsEjkKAb6PRYwNzJ5zSGQTXA+MzBE6G2j/f4aspA+uGeYYNhstxFBSLy8vBAYGIj09HW+88QbatWsHVe6V7IlIJMwoS1S6cIRavhgckliKsh4Y796Wbs4a4PkJStcC6enpiIqKQlhYGMqWLQsAGDt2LFxdXeHh4aFw7UgovBgRFzPKEpUe+Y1Qe3jTsL2Uj1Aze51DIpvg3VuyE5Ik4dSpUxg9ejS+/fZbfP311/JjZcuWZWBIpowXIzlvfhkvRi4xmZuijBllcy2gbqQyzA9lRlki+1boCDUYRqjpC1lT2YExOCSx8O4t2YGbN29i1qxZ+Oijj3D79m1UqFABzZo1U7paJCpejIjPmLIfQO4AkSn7iRxGUUaolVIcVkpi4XpgJLC0tDSsX78emzdvRlZWFpydndGzZ0+89tprcHd3V7p6JCoOl7cPwb0Mw8lyZZStyoyyRI6CI9QKxeCQxMIFVx2bAJnBSmLDhg1Yv349AKBJkyYYOXIk/P39Fa4VCY8XI/YjuJch4Zkdf08RUQE4Qq1QDA5JPLx765jsNBmHXq+Hk5NhBH7Pnj3x66+/4tVXX8Xzzz/PLKRkHl6M2BcnNXtwiRwVR6gViusc2pCIa5kIzc57mSgbO1y7MjU1FWvXrsX169fx4YcfyoGgJEkMCqlo5AXWC7kY4QLrRETWJ1+TAHmOULPhNYmIsQF7DklcvHvrGOxs7UpJknDkyBEsX74c9+/fBwBcuHABzz77LAAwMKSiMxkunw8RhsvzhhwRlQYcoVYgBodKuHEUqN+ZJ10qHewoGUdsbCyWLFmCCxcuAAD8/PwwcuRIOTAkKrbgXkDIO8DJuYCULSupSg08P0n5ixGRh30zaCUiS+P84nwxOFTC2m5ARUFOugBPvGRddpCMIy0tDatXr8YPP/wAvV4PjUaDV199Fb1794ZGo1GsXuRALm0Goj9Hrh50SW/Y7v+8cucDkReEFjloJSL7xhFqeWJwqBQRTroAT7xkfXaQjMPZ2Rm//vor9Ho9QkJCMHz4cFSqVEmx+pCDEXlotch1EzloJSIqjJ12vjA4VIwAc6144iVbEDQzWGxsLPz9/eHi4gJnZ2eMGzcOqampaNq0qU3rQaWAyEOrRa2byEErEVFh7LjzxUnpCpRu2U66tlboiReGE69el8fjREVgTMYBQM4EJrP92pUpKSmIjIzE+PHjsWXLFnl7cHAwA0OyDpGHVotat6IErUREIjF2vuT8DjN2vlzarEy9zMTgUARKXBDwxEu2ZMwM5pVjwXhtVZv1UOv1euzZswcjR47E9u3bodfrcfPmTau/LpHQQ6tFrZuoQSsRUUEcoPOFw0pFoMQFAU+8ZGsKZga7evUqIiMjcfnyZQBAQEAARo4cicaNG1v9tYlEHVoNQNy6efhathwRkS2IOlS/CBgcKkrBCwJR7xaTY1MgM9jOnTuxePFiSJIEd3d39O/fH6+88gqcnbN9/dnppHGyEybrHKqQ56LLSq1zKGrdzF1OlMuOkiXxXEAl5QCdLwwOFaPwBYGod4uJLKxRo0ZQq9Vo06YNhg0bhnLlypkWsONJ42RHRF50WcS6Pbpj2XJEheG5gCzBATpfVJIk5RUZkBUkJyfD29sbSe8BWt8A5S8I5GylQJ53i5mtlOzQ77//josXL6JXr6dt986dO/D1zWP4WX4Ze3kMkLVkZQA/LwIeXAPK1gCajQacBVlLU6Rek9hDwOoOhZcbfFDYoVlkR3guIEvR64D5QYV3voy7Djipn8YGSUnQarU2rmzeGBzakNwAzm+Htn5nMYYq5HWnTCtA4EpURImJifj666+xd+9eqFQqzJ07F7Vq1cr/CfIXeH5zA0y/wIlKjD0T5iviBRZRsfFcQJZWhM4XEYNDDitVQjWBxrArmCSEyBJ0Oh127tyJb7/9Fo8ePQIAdOzYERUqVCj4iQ4waZzsCNeVLRpR50KS4+G5gCxNxKH6RcDgkBRJEkJkCb/99hsWL16M2NhYAECNGjUQHh6O4ODgwp/sAJPGyU5wQffisfMLLLITPBeQNdhx5wuDQyKyS2lpafj444+RnJwMT09PvP766wgLC4NabeYXrwNMGic7wZ6J4rPjCyyyEzwXkLXYaecLg0MSl0jJEUgIOp0OTk5OUKlUcHNzw+uvv44rV65gyJAh8Pb2LtrOmLGXbIU9EyVjpxdYZCd4LiAy4aR0BYjydGmzYYL46g5A1ADDz/lBhu1UKp0/fx7jxo1DdHS0vK1z584YP3580QND4OmcJgC5F0vjnCayIPZMEImL5wIiEwwOSTzGxA05h2EZEzcwQCxV7t27h9mzZ+O9995DXFwcNmzYAIslWTbOafLyN92urcoEIWQ5xp6JfFdsVxmyRLNngkgZPBcQybiUhQ2JmK5WOEwpTU9kZmZi69atWLt2LdLS0uDk5ISXX34ZgwYNgpeXl2VfjEOYydq4riyR+HguIBsTMTbgnEMl6HVK10BcTNxAAGJiYrBgwQL8/behLQQHByM8PBw1atSwzgtyThNZGzNvEomP5wIiBoeKiGwAdP+KFwN5YeKGknOAO58ZGRn4+++/4ePjg2HDhqFDhw5wcuIoeLJzwb2AGi8D+yYD968C5WoBoZ8BGnela0aOSORzgch1IyrlGBwq4eEtLnqcH3tJ3JB8F1jZAnh8F3CvCAw7DWgrKlsnwDB0bdc44NGtp9vKVAFeFuRmRD4XBJmZmfjzzz9Rp04dAECTJk0wfvx4tGrVCp6enorVy+rPNWffsYeAG4cMvwe1B6q1F+ciihd4RbNvCnByLiA9GT1yfQ/wSyTw/CQgdLaydaPiEfUYuLQ5dy+1V1VD4hWlzwUi142IOOfQluRxxe8BWjfOncuTPOewkJTSSr5v//UBMpJyb9d4A1MTbV2bpy5tBjb2zv/xPpuUPfHmc0HwU+A7WLorBomJiViyZAnKlSsnRL3MulCx5kXOpc3A9hFA2j+m293LA12XKn8RxQu8otk3BYj+LP/HQyYzQLQ3oh4D8vzWnOdQAea3ilw3IgWIOOeQ47QUk23uHD0lekrp/AJDwLD9vz62rM1Teh2wZWDBZbYMVG6+ax4ZaBPS3PHRz374YMVexMfHw93dHQkJCYrXC4B5mXGtmVXXGOjnDAwB4PE/hseUzNrLjMJFk5Vh6DEsyMm5hnJkH0Q9BvQ6Q8Ca583VJ9v2TFDmXCBy3YhIxuBQaZw7l5uoKaWT7+YfGBplJBnK2dq1PUBWWsFlstIM5WwtxwVBut4J3/1dC6POt8OpxEpQq/ToVe0uIhctRL169RSrl6lCLlSseZGj1wG7xxdebs+/eYFnL35e9HQoaX4knaEciU/kY6AoSd1sTeS6EZGMwaHSlJ47J6rgXsD4WGDwQaDnGsPPcdeVHW6ysoVly1lSYb0SRS1nSdkuCDL1Thh3oQ2+v1kbmZIajbT3sKDhUbzhdxoe984oVq+8FXChYs2LnLijQMrNwssl/80LPHvx4Jply5GyRD4GRE7qJnLdiEjGhDSKeTJ3jose50+0lNKPzewRNLecJaUnWracJWU70bs46dHC5w6O3VdjeOBFtC6XAJUqdzlb16vI5ax5kVOU5/ACzz6UNXMJFnPLkbJEPgZETuomct2ISMaeQyUpOXeOis7dzGyk5pazpMrNLFvOQtLS0vDNgT/w56Oni9YPrHoFkc8exgvlswWGgO0vCEpyoWLNi5yiPIcXePah2WhAVch3vUptKEfiE/kYCGxjSIqTa86+kQrQBihzY1rkuhGRjMGhErT+zMhlj4adtmw5S3rJzOGi5pYrIUmScOzYMYwaNQrr95xC5N9NIEmGCwJ3tQ5u6uxzcRS6ICjJhYo1L3IC2wCe/oWXU2rkAS/wis5ZY1iuoiDPTzKUI/GJfAyInNRN5LoRkYzBoRJGXmBgaI+0FQ3LVRRE463Meocad6B294LL1O5uk8W2//rrL8yYMQOffvop7t69C19fX/TsbqybQBcEJblQseZFjpMa6Dy/8HKdvuQFnj0JnW1YriJnD6JKzWUs7I3ox4CoSd0AsetGRAC4zqFNibiWCRWDqOscAsC6HsCVrbm31+4O9N1i1ZdOTU3F2rVrsXXrVuh0Ori4uKBPnz7o3bs33Nzc8l4TTBtguIhSek2w4tbLmn+TPa5zKMLnKbqsDENW0gfXDHMMm41mj6G9Ev0Y0OueJLiKNwxxDWwjzk0bketGZEMixgYMDm1IxAZAxZR815CV9PFdwxzDYaeV6THMS8ZjYN9k4P5VoFwtIPQzm/QY7tq1CwsXLgQAtGjRAm+99RYqV84x50bUC4LUJGBdVyApDvAOBPruADwK6SU2subfpNcBsYeAG4cMvwe1B6q1F+M9A8T9PIlshccAEZWAiLEBg0MbErEBEJVEZmYmXFxcAAA6nQ4REREICwtD8+bNFa5ZESxrAcT/lHt75ebAcAXmjxIREVGpIGJswODQhkRsAETF8ejRI6xZswZnzpzB/PnzodHY6bC4/AJDIwaIREREZCUixgZc55CIzCZJEg4cOICVK1ciMTERAHDq1Cm0aWOHmSnTUgoODAHD42kpgJunbepEREREpCAGh0Rklj///BORkZG4ePEiAMDf3x8jRoxA06ZNFa5ZMW0dbH65vlHWrQsRERGRABgcElGBsrKy8L///Q+7du2CXq+Hm5sb+vXrh+7du8vzDe3Sg2uWLUdERPaPSYaolGNwSEQFUqvVuH37NvR6Pdq0aYM333wTFSpUULpaJVe2BnD3gnnliIjI8eW1PIlXVcO6liIsT0JkA0xIY0MiTjolysvVq1fh6+sLb2/Dcg7x8fG4c+cOGjVqpHDNLCgtBfjMq/Bykx9yziERkaO7tBnY2AdAzstileFHn40MEMniRIwNnJSuABGJIzk5GQsWLMCkSZPw9ddfy9srV67sWIEhYAj4Khey5Ebl5gwMiYgcnV5n6DHMFRji6bY9EwzliBwcg0Migk6nw86dOzFy5Ejs3r0bkiQhMzMTer1e6apZ1/DT+QeIXMaCiKh0iDtqOpQ0FwlI/stQjsjBcc4hUSl36dIlREZG4to1Q+KVoKAghIeHo0GDBgrXzEaGnzYMMd062JB8pmwNoPtqcXoMmRyBiMi6UuItW47IjjE4JCrFDh48iDlz5gAAypQpg0GDBqFLly5Qq60UfIga6Lh5irlcBZMjEBFZn2dly5YjsmMMDolKsebNm8PHxwfNmjXD0KFD4ePjY70XY6BTNPklR3h407CdyRGIiCwjsI3hfPTwJvKed6gCtFUN5YgcHLOV2pCIGYmodImJicHRo0cRHh4OlcqQgS0lJQWenlYeQil6FjjRejT1OmB+UAFzYJ5cqIy7LkbPKxGRvZPPU4DpuUqQ8xQ5JBFjA0UT0kRERKB58+bw8vKCr68vevTogcuXL8uP379/H+PGjUOdOnXg7u6OwMBAjB8/HklJSSb7iYuLQ9euXeHh4QFfX19MnjwZWVlZJmUOHTqEJk2awNXVFTVr1sSqVaty1WfhwoUICgqCm5sbWrZsidOnTZNRpKWlYcyYMShfvjw8PT3Ru3dv3L5923JvCFFJ6XVA7CEg5nvDzyeZ1e7fv485c+bg3XffxY4dO3D8+HH5KVYPDEXPAndpsyEQW90BiBpg+Dk/yLBdKUyOQERkW8G9DAGgl7/pdm1VBoZUqig6rPTw4cMYM2YMmjdvjqysLLz33nvo1KkTLl68iDJlyuDWrVu4desWPv/8c9SrVw83btxAeHg4bt26hY0bNwIwZFns2rUr/Pz8cOLECcTHx+P111+Hi4sLPvnkEwDA9evX0bVrV4SHh+O7777D/v37MXz4cFSuXBlhYWEAgHXr1mHSpEmIjIxEy5YtMW/ePISFheHy5cvw9fUFAEycOBE7duzAhg0b4O3tjbFjx6JXr14mF9pEislj2GZWmar4weMtrNl/AY8fP4ZKpUJYWBgaNmxou3oVJdAJam+rWhmIOnSTyRGIiGwvuBdQp7tYI0mIbEyoYaV3796Fr68vDh8+jLZt2+ZZZsOGDRg0aBAePXoEZ2dn7Nq1C926dcOtW7dQqVIlAEBkZCSmTp2Ku3fvQqPRYOrUqdixYwdiYmLk/fTr1w+JiYnYvXs3AKBly5Zo3rw5FixYAADQ6/UICAjAuHHj8O677yIpKQkVK1bEmjVr0KePYdjB77//juDgYERHR+P5558v9O8TseuY7FBeQyAvb80V5JxPLofI2AaIe2xY6L127doIDw9H7dq1bVvfmO8NPXKF6bkGaNDf+vUxEnnoZuwhQw9mYQYftH1ATUTiEG1IPBEViYixgVAJaYzDRcuVK1dgGa1WC2dnQ9Wjo6PRsGFDOTAEgLCwMIwaNQq//fYbnnvuOURHRyM0NNRkP2FhYZgwYQIAICMjA2fOnMG0adPkx52cnBAaGoro6GgAwJkzZ5CZmWmyn7p16yIwMDDf4DA9PR3p6eny78nJyea+FUR5yyupi6c/oEtD9sBQJwGLrzfAX2le0DqnY2jtOwj9JApOzi62r7OoWeBE7tFkcgQiKgyTfBGRFSg65zA7vV6PCRMmoHXr1vmur3bv3j189NFHGDFihLwtISHBJDAEIP+ekJBQYJnk5GQ8fvwY9+7dg06ny7NM9n1oNJpc2Ryzl8kpIiIC3t7e8r+AgIBC3gWiAhiHQOYMaFJuAo//QaZehSy9YeK8WgWMDPoNXX1jsaTRYXTyOg+nvxUa/mwMdIyT+nNRAdoA2wc6Ig/ddFIbLvAA5H7fnvzeaR57CIhKq/zOB8Yh8UrOmSYiuyZMcDhmzBjExMRg7dq1eT6enJyMrl27ol69epg1a5ZtK1dM06ZNQ1JSkvzvr7/+UrpKZK8KTOoC/JpUAeMutMXWhOrytsbe/2BU9d/g5Zxp2KDU/DRRAx1RezSNmByBiPIiepIve5ZPUjei0kSIYaVjx47F9u3bceTIEVStWjXX4w8fPkTnzp3h5eWFqKgouLg8HRrn5+eXK6uoMYOon5+f/DNnVtHbt29Dq9XC3d0darUaarU6zzLZ95GRkYHExEST3sPsZXJydXWFq6urme8CUQHyGQJ5J90Ny27Uw4kHhgBm951A9Kh8HWpVHhcNSi7eawx0cg6B0lY1BIZKBDr2MHSTyRGIKCeRh8TbMw7TJQKgcM+hJEkYO3YsoqKicODAAVSvXj1XmeTkZHTq1AkajQbbtm2Dm5ubyeMhISG4cOEC7ty5I2/bu3cvtFot6tWrJ5fZv3+/yfP27t2LkJAQAIBGo0HTpk1Nyuj1euzfv18u07RpU7i4uJiUuXz5MuLi4uQyRFaTo9cvQ++EdTdrYtT59jjxoDKcoMcrftcxr8GxPAJDhYZt5hTcCxgfa0ii0nON4ee468qddEXt0czJSW24wGvQ3/BT6foQkbJEHhJvrzhMl0imaM/hmDFjsGbNGmzduhVeXl7y3D1vb2+4u7vLgWFqaiq+/fZbJCcny0ldKlasCLVajU6dOqFevXoYPHgwZs+ejYSEBEyfPh1jxoyRe+3Cw8OxYMECTJkyBW+88QYOHDiA9evXY8eOHXJdJk2ahCFDhqBZs2Zo0aIF5s2bh0ePHmHYsGFynd58801MmjQJ5cqVg1arxbhx4xASEmJWplKiEsnW63fpoQ/mXmuM+PQyAIAGXv8gPOg3BHk8zOOJAgU5wNNARxQi9mgSERVE9CHx9qbQYboqwzDdOt3FOI8SWZmiweHixYsBAO3btzfZvnLlSgwdOhS//PILTp06BQCoWbOmSZnr168jKCgIarUa27dvx6hRoxASEoIyZcpgyJAh+PDDD+Wy1atXx44dOzBx4kR8+eWXqFq1KpYtWyavcQgAffv2xd27d/H+++8jISEBjRs3xu7du02S1HzxxRdwcnJC7969kZ6ejrCwMCxatMjSbwtRbtmGQHo6Z+FOhjvKuaThzcBLaFv+FlQqFeBeHnB2Z5CTn/xSvnPoJllaQcsLcOmBouN7ZsoehsTbEw7TJaXodcCNo0rXIheh1jl0dPJaJg/uQ+tTVunqkJ1IT0/H+fPn0dzzrydrGQI/PaiI+tp/4KHWQe4d7LORQU5+OJeEbKWgtgawHRYVj928GYdBAjANELOdD0rz+1MUoq7FS47tyXdb8t2/4f0JhFrnUJhspaVKZAOOX6dCSZKEkydPYvTo0fjoo49wTdNIzl7ZvOydJ4EhmL2yMPY8l4SZ8+xLgW2tt+GfPbZDpdjzsWttzGZsORymS7aW33ebINhzaENyz+F7gNZNxS9wytfNmzexdOlSnDlzBoBhju2ECRPQqFGj/IdY2cMddlsPD9PrgPlBBXwBPxl+Ne66eD2s9vB50lOFtrVCaAPEbIdKsedj15Y45Lbk5LZWyDDd0t7WyDJyfLclp0G4nkMhlrIonSROcKZc0tLSsH79emzevBlZWVlwdnZGz5490bdv36eZevNK6iIPMcpxYjPeYRfhRoQSwY69ziWxh8+TTBXa1gohYjtUkr0eu7YmWpIve2TMXL2xDwzDcvMYpitKUjeyfyU9V9gAh5UqyXhiI4JhGOnkyZOxfv16ZGVloWnTpli4cCGGDBmSawkXE/awILJSw8PsMeW7PXyelJsl2lDSXyXfh6Owx2OX7BeH6ZKt2MF3FnsOlfbwptI1IEGoVCp07twZmzZtwltvvYXnn3/ekIW0MKLfYVcyTbg9ziUR/fOkvFmiDd08BTQaXPL9OAJ7PHbJvjFzNdmCHXxnMThU2qO7SteAFJKamoq1a9eifv36aNmyJQCgc+fO6NixY8E9hTmJfoddyWDHHlO+i/55Ut4KbWvmYAoAmT0eu2T/OEyXrM0i5wrr4rBSpZWpqHQNyMYkScLhw4cRHh6OzZs3Y+nSpcjMzAQAqNXqogWGgPh32JUMdoxzSQDIc0dkgs4lEf3zpLwV2NbMVK6Wxapj9+zx2CUiKowlzhVWxuBQaTnHt5NDi42NxbRp0/DZZ5/h/v37qFy5MsLDw+Hi4lL8nRrvQuX7JaMyZEJU6g670sGOvc0lEf3zpPzl19Y8/VHo6ValBpqNtlrV7FK+x66/mMcuEZE58vtuEwSHlSqJF3ilxqNHj7BmzRr88MMP0Ov1cHV1xauvvopevXpBo9GUbOeiZ1oTYXiYPc0lEf3zNGIK/bzl19YOTAOiP8v/ec9PApxL+F3gqHKuuKUXcygWEZHZjOeK33YDn3RTujYmuM6hDXGdw9LrzJkzmDlzJgCgVatWGD58OHx9fS37InktFaENMAQSSrczeWkGIM9gh8dCbqJ/nlyDsej2TQFOzgWkbJlmVWpDYBg6W7l6iSq/JV34vUFEDkKODQRa55DBoQ3JDeBTf2hfmc+TmoN79OgRypQpI/++dOlSNGvWDE2aNLHei4rcmyNysCMqET9PXrCXTFYG8PMi4ME1oGwNw1BS9hjmlmOh6Ny4MDkR2T8Gh6Wc3AAe3IfWp6zS1SErSUlJwerVq3HkyBEsWrQIZcvys5aJGOyQ+XjBTrYSewhY3aHwcoMPMrskEdktEYNDzjlUAi+aHJJer8e+ffuwatUqJCcnAwCio6PRpUsXhWsmEKYJt29cg5GsJeeNI3PXAOaSLkREFsXgkMgCrl69isWLF+PKlSsAgMDAQIwcORKNGjVSuGZEFsQ1GMka8hpy7mHmMk9c0oVIeRwV5FAYHBKVgCRJWLx4MXbt2gVJkuDu7o6BAweiW7ducHbm4UUORullScjx5DeHNfVeIU+0QZZjIiocE5Q5HF69krjs4E6USqWCWq2GJEno0KEDhg0bhnLlyildLcdjB22hVLDlsiT8zB2fXme4qMyzLRWUDkGgJV2ISrP8bu48vGnYLmKCMp5bCsXgkMQk8J2oS5cuwdPTEwEBAQCAgQMHonXr1mjQoIGi9XJYAreFUsdWazDyMy8dCp3D+oR7BeBxtp5EbVVmOSZSWqE3d1TAngmGtfxECb54bjELs5XakIgZiYQkaKr8xMRErFq1Cvv27UODBg0QEREBlUpl83qUKoK2hVLPmsuS8DMvPWK+B6IGFF6ux7eAlz/v9BOJxN4yCgt6bhExNmDPIYlFwDtROp0OO3fuxLfffotHjx4BAPz8/JCRkQFXV1eb1KFUErAt0BPBvQzvu6WH5vAzL13MnZvq5S/GxSURPWVPCcp4bikSBodKyMpQugbiEixVfkxMDCIjIxEbGwsAqFGjBkaNGoW6deta/bVLPcHaAuVgjWVJSsNnzvkuT9lyDisRWZY9JSgrDecWC2JwqIS5lYD2bwOhs5WuiXgEuhP1888/Y9asWQAAT09PvP766wgLC4NaXUov5GxNoLZANuLonznnu5iy1RxWIrI8e7q54+jnFgtzUroCpZKkB6I/A/ZNUbom4hHoTlTjxo0RFBSEzp07Y8mSJejSpQsDQ1sSqC2QjTjyZ26c75Lz7rUxq9+lzcrUS2nBvQxzfbz8Tbdrq3J+KZHIjDd3AMg3c2SC3dxx5HOLFTAhjQ3Jk07fA7RuAFRq4N1UwFmjdNXEodcB84MKvxM17rrFv3DOnz+Pbdu2YerUqXBxcQEAZGRkQKPh56MIBdsCKcRRP3P578pvWJOd/l2WxOG2RPbJmgnKLEXgc4uICWnYc6gkSQf8vEjpWohFgTtR9+7dw3//+1+89957OHnyJH744Qf5MQaGCrKnu5JkGY76mRdlvktpZZzD2qC/4ae9fcZEpVVwL2B8rCErac81hp/jrosTGAKOe26xEgaHSntwTekaiMdGw4wyMzOxceNGhIeH4+jRo3ByckLXrl3x0ksvWWT/ZAEcclb6OOJnzvkuROTI7OHmjiOeW6yECWmUVraG0jUQk7VS5T/xyy+/YMmSJbh586bh5YKDMWrUKDzzzDMW2T9ZkJXbAgnI0T5zznchIlKeo51brITBodK8eDGQL2ukyn9i69atuHnzJnx8fDBs2DC8+OKLXNBeZFZsCyQoR/rM7SmrHxGRI3Okc4uVcFip0vZNNkyUJavKyMhAamqq/PuIESPQvXt3LFmyBB07dnScwFCvA2IPATHfG36ybREpj/NdiIjITjBbqQ3lylZqNPgg72JY0U8//YSlS5eiUaNGGDt2rNLVsR6uoUb0lIjZL+0hqx8REdmMiNlKOaxUBExCYBUJCQlYunQpTp8+DcCQgCY1NRUeHh4K18wKjGuo5RyyZlxDjZOtqTQR9UYJ57sQEZHgGByKgEkILCo9PR0bN27Exo0bkZmZCbVaje7du6Nfv36OGRjqdYYL4TznMkkAVMCeCYaLUl6EkqMT/UYJ57sQEZHAGBwqikkILO2PP/5AREQEbt++DQBo1KgRwsPDERAQoHDNrKgoa6jxopQcGW+UEBERlQiDQ8UwCUGhijFnyNfXF6mpqahYsSLefPNNtG7d2nGSzeSHa6gRGfBGCRERUYkwOFSKtiqTEBTEzDlDaWlpOHz4MDp16gSVSgWtVotZs2ahWrVqcHNzy2PHDohrqBEZ8EYJERFRiTA4VELIZKBLBHsM82PGnCGpbk8cP34cy5Ytw7179+Dl5YVWrVoBAOrUqWP7OiuJa6gRGfBGCRERUYkwOFRCtXYMDPNjxpyhvzZPRWTqzzh37jwAw1BSV1dXW9ZSLMY11Db2gWG4cvb3jsOXqRThjRIiIqISYXCohIBWStdAXAXMGUrVqbH2Zi1sTagOnXQeLi4u6NOnD/r06VO6g0PAMNS2z8Y81lDj8GUqRXijhJQg4pqaRETFxOBQCTxp5K+AuUD/d6UZzidXAAC0CPbHiLc/gJ+fn61qJj6uoUbEGyVkW6KuqUlEVEwMDkksBcwF6lP5Gu6mu2NEtYtoPuYdgIFhblxDjYg3ShyNqD1zoq+pKTJRP1MigkqSpLwmZpAVJCcnw9vbG0lJSdBqtUpXR0x6HTA/CI8e3MaamzVRyfUxXvGLlR/O0jvB2ccfGHedJxIiIkcnas/ck3NV/kunPJnfynNVbqJ+pkQKEDE2cFK6AkTZ6aHC/vJjMfJcO2xNeAar/6qNlCxjB7cKzk4S5wwREZUGxp65nAGYsWfu0mZl6gUUbU1Nekrkz5SIADA4JIH8+eefmDp1Kr5YdxSJWa6o6pGGabV+gadzlqGAtiqH6RARlQaFZq4GsGeCoZwSuKZm0el1wI4REPYzJSIAnHNIAkhJScHq1auxa9cu6PV6uLm5oV+/fuj+r25wiT/JOQlERKVNUXrmlJhnzTU1i+7ox8DjfwoooPBnSkQAGBySAP755x/s3r0ber0ebdu2xRtvvIEKFQxZSXmCICIqhUTvmbOHNTVT7gOr2wEptwDPKsDgw4BnOWXqotcBp780ryx7W4kUxeCQFHHv3j05AKxWrRreeOMNVK9eHc8++6zCNSMiIsWJ3jMn+pqac/yA1NtPf0+7D3xRHvCoBLydYPv6xB011MEc7G0lUhTnHJJNJSUl4auvvsLw4cPx559/ytu7d+/OwJCIiAyMPXPGQCsXFaANULZnzrimppe/6Xal58fnDAyzS71teNzWzO0NdC+v7GdKZEt6HXBDvKRV7Dkkm9DpdPjxxx+xevVqPHz4EADwyy+/4JlnnlG4Zg6Ga0cRkSMQvWfOSLQ1NVPu5x8YGqXeNpSz5RBTc3sDW4xX/jMlsgXjki53C5pbrQwGh2RdWRm4tOUTRO44j2t3MwAAQUFBGDVqFOrXr69w5RwM144qWEGBM4NqIvEYe+Zyfq9pqxoCQ1G+15zU4syPX93O/HKjLli3LtkVOkcThl7DF/5juzoRKcW4pEt+x4LCGByS9eybgv+t3YmtCUEAgDLqTAwKuIourwRDzcDQsvL7ojGuHSXCEiBKBmAFBc4Ag2oiUYnWMye6lFuWLWcpBfYEP9F1KT9XcnwFLtMjBgaHZB37pgDRn8HPNQgAEFrxLwwN+B0+LhnAqc8BJxUQOlvZOhbEnnqSzF0PrE535f4GJXs1Cwyce+f9HJGCaqLSTqSeOdF5VjEv8YtnFevXJad8e4IDxOoJJrKmQpfpUZ5KkiRxQ1cHk5ycDG9vbyQlJUGr1SpdHauIiYmBlJWJhtubA5IOOkmFPx9pUcszybSgSg28mwo4a5SpaEHsbXhm7CFgdYfCyw0+qMwFVr7DJ57MG7JmAKbXAfODivlF/CQV/bjr4t4YICLliXQzMeVJVtLCTPxH2WUtRHm/iGwt5nsgaoD8a3Ia4P0JhIoN2HNIFnH//n2sXLkSBw8ehJ+POxbVkqBxAtQqKXdgCACSDvh5EfD8BJvXtUD2MDwzJ3OzwF3eavvgsNBeTZV1ezVLdIeOCzITUSFEu5noWQ7QeAMZeZx3jTTeygWGAHuCqXSzg6VauJQFlUhWVhaioqIwcuRIHDx4ECqVCo2rOCNLb0bTenDN+hUsCnOHZ+p1NqyUGcz9oon5zvZ1LzQ4yxaAWYMlFlPmgsxElBfjzcSc33HGm4mXNtu+Tnod4OpVcBk3rXjnMaLSotBlepTHnkMqtvPnzyMyMhJxcXEAgNq1ayM8PBy17+8E9q4tfAdla4g1vKQogYxIdz0D2wDuFYDH9woul3rX9nU3N7CyVgBmiTt0dnCXj4hsTOlREfkxZ7SEiOexbCRJQlZWFnQ6BrBk/9RqNZydnaFSPQkGzUnOpDAGh1QsV69exXvvvQcA0Gq1GDp0KEJDQ+Hk5ARkBQH73jEMHc2PSg14Vc49H0zJ4ThKBzLF5aQGGg4CTs8rvKyt625uYGWtAMyc9On5ejLnkAsyE1FOot5MtNfz2BMZGRmIj49Hamqq0lUhshgPDw9UrlwZGs2TPBvZkzOliZechsEhFUutWrXQsmVLVKhQAYMGDYKXV7ZhLM4a4PlJQPRnBeygG7C5P4Sa26d0IFMSdbqbFxzauu6FBmdWDsAKXUhbyuP/xt8hxiLbRCQeUYMwOz6P6fV6XL9+HWq1GlWqVIFGo3na20JkhyRJQkZGBu7evYvr16+jVq1ahk4U4OkyPb/tBj7ppmxFc2BwSGb55Zdf8N1332HGjBnw8fEBALz33ntQq/O5cDYuU3FyrmkPokoNtJwA/LYOwg3HUTqQKQlR615ocAbrB2CFLaQNiL/INhGJRdQgTNRzgRkyMjKg1+sREBAADw8PpatDZBHu7u5wcXHBjRs3kJGRATc3t6cPOqmBauIdiwwOqUB37tzBsmXLcOLECQDAunXrMHLkSADIPzA0Cp0NtP8/Q1bSB9cMcwybjQb+PgGcnFPAExUajiNCIFNcIte9sODMFgFYYQtpc5FtIioKUYMwkc8FZpJ7VogchL21aQaHlKeMjAxs2rQJGzduRHp6OpycnPCvf/0LAwYMKPzJ2Tlrci9XIepwHECMQKa4RK57YcGZLRSUPp2p1YmoKEQOwkQ+FxCR8BgcUi4//fQTli5divh4Q3DWoEEDhIeHIygoyDIvIOpwHCMRApniErnuDMCIyJGIHISJfC4gIqExOFSC4OsL/fzzz4iPj0e5cuXw5ptvom3btpadFC7qcJzs7DmQsee6ExHZE5GDMJ4LHM7QoUORmJiILVu2AADat2+Pxo0bY968eTatx6FDh9ChQwc8ePBAzkNRms2aNQtbtmzB2bNnla6KRdjXIFhHEdlAmcVx85GWloZ//vlH/n3w4MHo27cvIiMj0a5dO8tnCzMOxwGQexFQ+5gTQUREBOBpENagv+Enz12lytChQ6FSqaBSqaDRaFCzZk18+OGHyMrKsvprb968GR999JFZZQ8dOgSVSoXExETrVsrKwsLCoFar8dNPPxXpeatWrWIgayYGh0p4eAvY2FvxAFGSJERHR2P06NGYM2cOJMnQi+fp6YnBgwdbN1uYcTiOl7/pdm1VZZaxICIiIvun1wGxh4CY7w0/bTBaq3PnzoiPj8fVq1fx9ttvY9asWfjss7yX88rIyLDY65YrV850KTEHFxcXhxMnTmDs2LFYsWKF0tVxWAwOlbRjhGJDTG/evIlZs2bh448/xp07d3Dr1i2T3kObCO4FjI8FBh8Eeq4x/Bx3nYEhERERFd2lzcD8IGB1ByBqgOHn/CCr34x3dXWFn58fqlWrhlGjRiE0NBTbtm0DYOhZ7NGjBz7++GNUqVIFderUAQD89ddfeO211+Dj44Ny5cqhe/fuiI2Nlfep0+kwadIk+Pj4oHz58pgyZYp8E9+offv2mDBhgvx7eno6pk6dioCAALi6uqJmzZpYvnw5YmNj0aFDBwBA2bJloVKpMHToUACG9SUjIiJQvXp1uLu7o1GjRti4caPJ6+zcuRO1a9eGu7s7OnToYFLPvAwYMAB9+/Y12ZaZmYkKFSrgm2++AQBs3LgRDRs2hLu7O8qXL4/Q0FA8evSowP2uXLkS3bp1w6hRo/D999/j8ePHJo8nJiZi5MiRqFSpEtzc3NCgQQNs374dhw4dwrBhw5CUlCT38s6aNQsAoFKp5GG6Rj4+Pli1apX8+9SpU1G7dm14eHjgmWeewYwZM5CZmVlgXe0Z5xwq6fE/wI1DQPWONnvJtLQ0rFu3DlFRUcjKyoKzszN69uyJvn37mq69YiucE0FEREQldWnzk+yxOXIZPLxp2G7DUUnu7u4mN9z3798PrVaLvXv3AjAESmFhYQgJCcHRo0fh7OyM//u//0Pnzp1x/vx5aDQazJkzB6tWrcKKFSsQHByMOXPmICoqCi+++GK+r/v6668jOjoa8+fPR6NGjXD9+nXcu3cPAQEB2LRpE3r37o3Lly9Dq9XC3d0dABAREYFvv/0WkZGRqFWrFo4cOYJBgwahYsWKaNeuHf766y/06tULY8aMwYgRI/Dzzz/j7bffLvDvHzhwIF599VWkpKTA09MTAPDjjz8iNTUVPXv2RHx8PPr374/Zs2ejZ8+eePjwIY4ePZor+M1OkiSsXLkSCxcuRN26dVGzZk1s3LgRgwcPBmAIcl9++WU8fPgQ3377LWrUqIGLFy9CrVajVatWmDdvHt5//31cvnwZAOR6mcPLywurVq1ClSpVcOHCBbz11lvw8vLClClTzN6HPWFwqLTYQzYLDv/++29Mnz4d9+7dAwA0bdoUI0aMgL+/fyHPJCIiIhKUXmfIGptnkjsJgArYM8GQPMiKc0IlScL+/fvx448/Yty4cfL2MmXKYNmyZdBoNACAb7/9Fnq9HsuWLZPzOqxcuRI+Pj44dOgQOnXqhHnz5mHatGno1csQ0EZGRuLHH3/M97WvXLmC9evXY+/evQgNDQUAPPPMM/Lj5cqVAwD4+vrKc+/S09PxySefYN++fQgJCZGfc+zYMSxZsgTt2rXD4sWLUaNGDcyZY1ifuk6dOrhw4QL++9//5luXsLAwlClTBlFRUXLwtmbNGrzyyivw8vLC1atXkZWVhV69eqFatWoAgIYNGxb43u7btw+pqakICwsDAAwaNAjLly+X979v3z6cPn0aly5dQu3atXP9/d7e3lCpVPDz8yvwdfIyffp0+f9BQUF45513sHbtWgaHZCX3Ltnspfz8/ODu7o5KlSrhrbfeQsuWLS2fbIaIiIjIluKOmi4nkosEJP9lKGeF0Urbt2+Hp6cnMjMzodfrMWDAAHnYImAIfIyBIQCcO3cOf/zxR675gmlpabh27RqSkpIQHx+Pli1byo85OzujWbNm+faunT17Fmq1Gu3atTO73n/88QdSU1Px0ksvmWzPyMjAc889BwC4dOmSST0AyIFkfpydnfHaa6/hu+++w+DBg/Ho0SNs3boVa9euBQA0atQIHTt2RMOGDREWFoZOnTqhT58+KFu2bL77XLFiBfr27QtnZ0Po0r9/f0yePBnXrl1DjRo1cPbsWVStWlUODC1p3bp1mD9/Pq5du4aUlBRkZWVBq9Va/HVEweBQaTcOG+54WeFOVmpqKnbs2IEePXrAxcUFzs7OmD59OipUqABXV1eLvx4RERGRzaXEW7ZcEXXo0AGLFy+GRqNBlSpV5ADGqEyZMqbVSElB06ZN8d133+XaV8WKFYtVB+Mw0aJISUkBAOzYsSPXKLKSXicOHDgQ7dq1w507d7B37164u7ujc+fOAAC1Wo29e/fixIkT2LNnD7766iv85z//walTp1C9evVc+7p//z6ioqKQmZmJxYsXy9t1Oh1WrFiBjz/+uFh/P2CYc5gz4M4+nzA6OhoDBw7EBx98gLCwMHh7e2Pt2rVyT6ojYnCotMf3LH4nS5IkHD58GCtWrMD9+/ehUqnQp08fAOAQUiIiInIsnpUtW66IypQpg5o1a5pdvkmTJli3bh18fX3z7YGqXLkyTp06hbZt2wIAsrKycObMGTRp0iTP8g0bNoRer8fhw4flYaXZGXsudbqniRDr1asHV1dXxMXF5dvjGBwcLCfXMTp58mShf2OrVq0QEBCAdevWYdeuXXj11Vfh4uIiP65SqdC6dWu0bt0a77//PqpVq4aoqChMmjQp176+++47VK1aNVfimD179mDOnDn48MMP8eyzz+Lvv//GlStX8uw91Gg0Jn+7UcWKFREf//SmwdWrV5Gamir/fuLECVSrVg3/+c9/5G03btwo9O+3ZwwORWDBO1mxsbGIjIxETEwMAMOXS153YYiIiIgcQmAbwKuqIflMnvMOVYalsgLb2LpmeRo4cCA+++wzdO/eHR9++CGqVq2KGzduYPPmzZgyZQqqVq2Kf//73/j0009Rq1Yt1K1bF3Pnzi1wjcKgoCAMGTIEb7zxhpyQ5saNG7hz5w5ee+01VKtWDSqVCtu3b0eXLl3g7u4OLy8vvPPOO5g4cSL0ej1eeOEFJCUl4fjx49BqtRgyZAjCw8MxZ84cTJ48GcOHD8eZM2dMMnkWZMCAAYiMjMSVK1dw8OBBefupU6ewf/9+dOrUCb6+vjh16hTu3r2L4ODgPPezfPly9OnTBw0aNDDZHhAQgGnTpmH37t3o2rUr2rZti969e2Pu3LmoWbMmfv/9d6hUKnTu3BlBQUFISUnB/v370ahRI3h4eMDDwwMvvvgiFixYgJCQEOh0OkydOtUkiK1Vqxbi4uKwdu1aNG/eHDt27EBUVJRZf7+94lIWIrDAnayUlBQsXboU48ePR0xMDFxdXTFo0CAsXLgQTZs2tUAlbUSB9YmIiIjIRqxxnndSA2FfPvklZy6FJ793mmfVZDRF4eHhgSNHjiAwMBC9evVCcHAw3nzzTaSlpck9iW+//TYGDx6MIUOGICQkBF5eXujZs2eB+128eDH69OmD0aNHo27dunjrrbfk5SH8/f3xwQcf4N1330WlSpUwduxYAMBHH32EGTNmICIiAsHBwejcuTN27NghdywEBgZi06ZN2LJlCxo1aoTIyEh88sknZv2dAwcOxMWLF+Hv74/WrVvL27VaLY4cOYIuXbqgdu3amD59OubMmYOXX3451z7OnDmDc+fOoXfv3rke8/b2RseOHbF8+XIAwKZNm9C8eXP0798f9erVw5QpU+TewlatWiE8PBx9+/ZFxYoVMXv2bADAnDlzEBAQgDZt2mDAgAF45513TNb5fuWVVzBx4kSMHTsWjRs3xokTJzBjxgyz/n57pZIKyhtLFpWcnAxvb28kvQdo3QD5Tta46yX+wpo9ezaOHDkCwHAADB8+HL6+viWvtC1d2mzINpZ9UrlXVcMXPtc+JCIism8FnOfTqnfB9evXUb169eIvrZXX/rUBhsCQ1xGkkLS0tHzbthwbJCUJk+SGw0oVU/I7WZIkydlG+/fvj7i4OLzxxhv5jkcXmkDrExEREZGFFXae77UFcKpVstcI7mVYriLuqGHKjmdlw1BSQXoMiewBg0OlaKsW+06WcYFPlUqF8PBwAIZx11999ZV9Lk0hyPpEREREZAXmnOePRwAvLC/5azmprbJcBVFpweBQCf22A/U7FznQ0ev12Lt3L77++mskJyfDyckJPXr0kBf0tMvAEFB8fSKyEb2Od3OJiEojc87zKfGALt1mVSKivDE4VEK1ol8UX716FYsXL8aVK1cAGCYIh4eHy4GhXVN4fSK7Y49BFueTEtk3e/zeIXGYe/5mEjoixTE4FNzDhw+xatUq7NmzB5Ikwd3dHQMHDkS3bt1yLbJqtxRen8iu2GOQxfmkRPbNHr93SCxmnb8lwEmda0FyIntnb22aS1kITq/X4/jx45AkCR06dMCSJUvQo0cPxwkMgafrE+VKP22kMmQbE2R9IsUYg6ycQ3OMQdalzcrUqyCFzjOBYT4p7xYTickev3dIPGac5100boDa1WQBciJHYGzT2ddPFJkDRRiOIy4uDgEBAVCpVPD29sbYsWPh4+OTa/FPh2Fcn2hjHxhOHNkDCfHWJ1KEvSbt4XxSIvtlr987JB4zzvPqjhHw8SmLO3fuADCsBWi3uRSIYOgxTE1NxZ07d+Dj4wO12j6+JxkcCiQxMRGrVq3Cvn37MH36dDz//PMAgBdeeEHhmtlAcC/D8MJc6xMVP6urQ7HXIIvzSYnsl71+75CYzDjP+z0ZfmcMEIkcgY+Pj13lCGFwKACdToedO3fi22+/xaNHjwAYEtAYg8NSw1HWJ7JG4gZ7DbI4n5TIftnr9w6Jq5DzvEqlQuXKleHr64vMzEyFK0tUci4uLnbTY2jE4FBhMTExiIyMRGxsLACgRo0aGDVqFOrWratsxZRi7+sTWStxg70GWcZ5Jg9vIu+haSrDXePSPp+USET2+r1DYjPjPK9Wq+3ugprIUSiakCYiIgLNmzeHl5cXfH190aNHD1y+fNmkTFpaGsaMGYPy5cvD09MTvXv3xu3bt03KxMXFoWvXrvDw8ICvry8mT56MrKwskzKHDh1CkyZN4Orqipo1a2LVqlW56rNw4UIEBQXBzc0NLVu2xOnTp4tcl6L4+uuv8e677yI2Nhaenp4YPXo05s6dW3oDQ3tnzcQN9pq0xzjPBEDuunM+KZHQ7PV7h4jIHuh1wI2jStciF0WDw8OHD2PMmDE4efIk9u7di8zMTHTq1EkeWgkAEydOxA8//IANGzbg8OHDuHXrFnr1etoDo9Pp0LVrV2RkZODEiRP4+uuvsWrVKrz//vtymevXr6Nr167o0KEDzp49iwkTJmD48OH48ccf5TLr1q3DpEmTMHPmTPzyyy9o1KgRwsLCTMa9F1aXoqpfvz5UKhU6d+6MJUuWoEuXLrxTZq+snZXTnoMs4zwTL3/T7dqqXMaCSGT2/L1DRCSyS5uB+UHA2m5K1yQXlSTQ4ht3796Fr68vDh8+jLZt2yIpKQkVK1bEmjVr0KdPHwDA77//juDgYERHR+P555/Hrl270K1bN9y6dQuVKlUCAERGRmLq1Km4e/cuNBoNpk6dih07diAmJkZ+rX79+iExMRG7d+8GALRs2RLNmzfHggULABiWkAgICMC4cePw7rvvmlWXwiQnJ8Pb2xtJSUnQarUAgJs3b8Lf37+QZ5LwYg8BqzsUXm7wwZINm81r2Ko2wD6S9nARbSL7ZM/fO0REosm2/nNyGuD9CUxiA6UJNecwKSkJAFCuXDkAwJkzZ5CZmYnQ0FC5TN26dREYGCgHZNHR0WjYsKEcGAJAWFgYRo0ahd9++w3PPfccoqOjTfZhLDNhwgQAQEZGBs6cOYNp06bJjzs5OSE0NBTR0dFm1yWn9PR0pKen5/r74uLiEBgYCADw8vJCcnJy0d8sEkvCNSDNzHLlmhT/dfxDgaHngb9OAI8SgDJ+QEArQ5BlD+2oXBOg3JP/pzwqsCgRCcLev3eIiESh1wFbxwFphr655CdhgkB9deIEh3q9HhMmTEDr1q3l9fwSEhKg0Wjg4+NjUrZSpUpISEiQy2QPDI2PGx8rqExycjIeP36MBw8eQKfT5Vnm999/N7suOUVEROCDDz7Itb1hw4b5vQ3k6D4ZDmC40rUgIiIiIkH8888/8Pb2VroaAAQKDseMGYOYmBgcO3ZM6apYzLRp0zBp0iT598TERFSrVg1xcXHCNAByTMnJyQgICMBff/0lzDAFckxsa2QrbGtkK2xrZCtJSUkIDAyUR02KQIjgcOzYsdi+fTuOHDmCqlWrytv9/PyQkZGBxMREkx6727dvy4tJ+vn55coqaswgmr1Mzqyit2/fhlarhbu7u5wyOa8y2fdRWF1ycnV1haura67t3t7e/LIhm9BqtWxrZBNsa2QrbGtkK2xrZCtOTormCDWhaE0kScLYsWMRFRWFAwcOoHr16iaPN23aFC4uLti/f7+87fLly4iLi0NISAgAICQkBBcuXDDJKrp3715otVrUq1dPLpN9H8Yyxn1oNBo0bdrUpIxer8f+/fvlMubUhYiIiIiIyF4p2nM4ZswYrFmzBlu3boWXl5c8d8/b2xvu7u7w9vbGm2++iUmTJqFcuXLQarUYN24cQkJC5AQwnTp1Qr169TB48GDMnj0bCQkJmD59OsaMGSP32oWHh2PBggWYMmUK3njjDRw4cADr16/Hjh075LpMmjQJQ4YMQbNmzdCiRQvMmzcPjx49wrBhw+Q6FVYXIiIiIiIiuyUpCIYF4HL9W7lypVzm8ePH0ujRo6WyZctKHh4eUs+ePaX4+HiT/cTGxkovv/yy5O7uLlWoUEF6++23pczMTJMyBw8elBo3bixpNBrpmWeeMXkNo6+++koKDAyUNBqN1KJFC+nkyZMmj5tTl4KkpaVJM2fOlNLS0sx+DlFxsK2RrbCtka2wrZGtsK2RrYjY1oRa55CIiIiIiIiUIc7sRyIiIiIiIlIMg0MiIiIiIiJicEhEREREREQMDomIiIiIiAgMDk1ERESgefPm8PLygq+vL3r06IHLly+blElLS8OYMWNQvnx5eHp6onfv3rh9+7ZJmbi4OHTt2hUeHh7w9fXF5MmTkZWVZVLm0KFDaNKkCVxdXVGzZk2sWrUqV30WLlyIoKAguLm5oWXLljh9+nSR60JiKqyt3b9/H+PGjUOdOnXg7u6OwMBAjB8/HklJSSb7YVujwpjzvWYkSRJefvllqFQqbNmyxeQxtjUqjLltLTo6Gi+++CLKlCkDrVaLtm3b4vHjx/Lj9+/fx8CBA6HVauHj44M333wTKSkpJvs4f/482rRpAzc3NwQEBGD27Nm5XmfDhg2oW7cu3Nzc0LBhQ+zcudPkcUmS8P7776Ny5cpwd3dHaGgorl69aqF3g6zJnLaWkJCAwYMHw8/PD2XKlEGTJk2wadMmkzJsa1SYxYsX49lnn4VWq4VWq0VISAh27dolP+6QcYGiuVIFExYWJq1cuVKKiYmRzp49K3Xp0kUKDAyUUlJS5DLh4eFSQECAtH//funnn3+Wnn/+ealVq1by41lZWVKDBg2k0NBQ6ddff5V27twpVahQQZo2bZpc5s8//5Q8PDykSZMmSRcvXpS++uorSa1WS7t375bLrF27VtJoNNKKFSuk3377TXrrrbckHx8f6fbt22bXhcRVWFu7cOGC1KtXL2nbtm3SH3/8Ie3fv1+qVauW1Lt3b3kfbGtkDnO+14zmzp0rvfzyyxIAKSoqSt7OtkbmMKetnThxQtJqtVJERIQUExMj/f7779K6detM0rh37txZatSokXTy5Enp6NGjUs2aNaX+/fvLjyclJUmVKlWSBg4cKMXExEjff/+95O7uLi1ZskQuc/z4cUmtVkuzZ8+WLl68KE2fPl1ycXGRLly4IJf59NNPJW9vb2nLli3SuXPnpFdeeUWqXr269PjxYyu/U1RS5rS1l156SWrevLl06tQp6dq1a9JHH30kOTk5Sb/88otchm2NCrNt2zZpx44d0pUrV6TLly9L7733nuTi4iLFxMRIkuSYcQGDwwLcuXNHAiAdPnxYkiRJSkxMlFxcXKQNGzbIZS5duiQBkKKjoyVJkqSdO3dKTk5OUkJCglxm8eLFklarldLT0yVJkqQpU6ZI9evXN3mtvn37SmFhYfLvLVq0kMaMGSP/rtPppCpVqkgRERFm14XsR862lpf169dLGo1GXsOTbY2KI7+29uuvv0r+/v5SfHx8ruCQbY2KI6+21rJlS2n69On5PufixYsSAOmnn36St+3atUtSqVTSzZs3JUmSpEWLFklly5aV254kSdLUqVOlOnXqyL+/9tprUteuXU323bJlS2nkyJGSJEmSXq+X/Pz8pM8++0x+PDExUXJ1dZW+//77Yv7FpJS82lqZMmWkb775xqRcuXLlpP/973+SJLGtUfGVLVtWWrZsmcPGBRxWWgDjEL5y5coBAM6cOYPMzEyEhobKZerWrYvAwEBER0cDMAyXadiwISpVqiSXCQsLQ3JyMn777Te5TPZ9GMsY95GRkYEzZ86YlHFyckJoaKhcxpy6kP3I2dbyK6PVauHs7AyAbY2KJ6+2lpqaigEDBmDhwoXw8/PL9Ry2NSqOnG3tzp07OHXqFHx9fdGqVStUqlQJ7dq1w7Fjx+TnREdHw8fHB82aNZO3hYaGwsnJCadOnZLLtG3bFhqNRi4TFhaGy5cv48GDB3KZgtrj9evXkZCQYFLG29sbLVu2ZFuzQ3l9r7Vq1Qrr1q3D/fv3odfrsXbtWqSlpaF9+/YA2Nao6HQ6HdauXYtHjx4hJCTEYeMCBof50Ov1mDBhAlq3bo0GDRoAMIxf12g08PHxMSlbqVIlJCQkyGWyNwDj48bHCiqTnJyMx48f4969e9DpdHmWyb6PwupC9iGvtpbTvXv38NFHH2HEiBHyNrY1Kqr82trEiRPRqlUrdO/ePc/nsa1RUeXV1v78808AwKxZs/DWW29h9+7daNKkCTp27CjPv0pISICvr6/JvpydnVGuXDmLnGezP579eXmVIfuQ3/fa+vXrkZmZifLly8PV1RUjR45EVFQUatasCYBtjcx34cIFeHp6wtXVFeHh4YiKikK9evUcNi5wLlLpUmTMmDGIiYkxuaNJZA2FtbXk5GR07doV9erVw6xZs2xbOXIoebW1bdu24cCBA/j1118VrBk5mrzaml6vBwCMHDkSw4YNAwA899xz2L9/P1asWIGIiAhF6kr2Lb9z6IwZM5CYmIh9+/ahQoUK2LJlC1577TUcPXoUDRs2VKi2ZI/q1KmDs2fPIikpCRs3bsSQIUNw+PBhpatlNew5zMPYsWOxfft2HDx4EFWrVpW3+/n5ISMjA4mJiSblb9++LQ/F8vPzy5UZyPh7YWW0Wi3c3d1RoUIFqNXqPMtk30dhdSHx5dfWjB4+fIjOnTvDy8sLUVFRcHFxkR9jW6OiyK+tHThwANeuXYOPjw+cnZ3lYcu9e/eWh1+xrVFR5NfWKleuDACoV6+eSfng4GDExcUBMLSBO3fumDyelZWF+/fvW+Q8m/3x7M/LqwyJL7+2du3aNSxYsAArVqxAx44d0ahRI8ycORPNmjXDwoULAbCtkfk0Gg1q1qyJpk2bIiIiAo0aNcKXX37psHEBg8NsJEnC2LFjERUVhQMHDqB69eomjzdt2hQuLi7Yv3+/vO3y5cuIi4tDSEgIACAkJAQXLlww+cLZu3cvtFqtfEIMCQkx2YexjHEfGo0GTZs2NSmj1+uxf/9+uYw5dSFxFdbWAEOPYadOnaDRaLBt2za4ubmZPM62RuYorK29++67OH/+PM6ePSv/A4AvvvgCK1euBMC2RuYprK0FBQWhSpUquZYcuHLlCqpVqwbA0I4SExNx5swZ+fEDBw5Ar9ejZcuWcpkjR44gMzNTLrN3717UqVMHZcuWlcsU1B6rV68OPz8/kzLJyck4deoU25odKKytpaamAjDMy8pOrVbLPdhsa1Rcer0e6enpjhsXFCl9jYMbNWqU5O3tLR06dEiKj4+X/6WmpsplwsPDpcDAQOnAgQPSzz//LIWEhEghISHy48aUtZ06dZLOnj0r7d69W6pYsWKeKWsnT54sXbp0SVq4cGGeKWtdXV2lVatWSRcvXpRGjBgh+fj4mGQ7KqwuJK7C2lpSUpLUsmVLqWHDhtIff/xhUiYrK0uSJLY1Mo8532s5IZ+lLNjWqCDmtLUvvvhC0mq10oYNG6SrV69K06dPl9zc3KQ//vhDLtO5c2fpueeek06dOiUdO3ZMqlWrlsnyAomJiVKlSpWkwYMHSzExMdLatWslDw+PXMsLODs7S59//rl06dIlaebMmXkuL+Dj4yNt3bpVOn/+vNS9e3cuL2AnCmtrGRkZUs2aNaU2bdpIp06dkv744w/p888/l1QqlbRjxw55P2xrVJh3331XOnz4sHT9+nXp/Pnz0rvvviupVCppz549kiQ5ZlzA4DAbAHn+W7lypVzm8ePH0ujRo6WyZctKHh4eUs+ePaX4+HiT/cTGxkovv/yy5O7uLlWoUEF6++235eUHjA4ePCg1btxY0mg00jPPPGPyGkZfffWVFBgYKGk0GqlFixbSyZMnTR43py4kpsLa2sGDB/Mtc/36dXk/bGtUGHO+1/J6TvbgUJLY1qhw5ra1iIgIqWrVqpKHh4cUEhIiHT161OTxf/75R+rfv7/k6ekpabVaadiwYdLDhw9Nypw7d0564YUXJFdXV8nf31/69NNPc9Vn/fr1Uu3atSWNRiPVr1/fJCiQJMMSAzNmzJAqVaokubq6Sh07dpQuX75smTeDrMqctnblyhWpV69ekq+vr+Th4SE9++yzuZa2YFujwrzxxhtStWrVJI1GI1WsWFHq2LGjHBhKkmPGBSpJkqSi9TUSERERERGRo+GcQyIiIiIiImJwSERERERERAwOiYiIiIiICAwOiYiIiIiICAwOiYiIiIiICAwOiYiIiIiICAwOiYiIiIiICAwOiYiIiIiICAwOiYiIAAAqlQpbtmxRuhpCOXToEFQqFRITE5WuChER2QCDQyIisqno6Gio1Wp07dq1yM8NCgrCvHnzLF8pMwwdOhQ9evTItd1eAiiVSiX/8/b2RuvWrXHgwIECn9OqVSvEx8fD29vbRrUkIiIlMTgkIiKbWr58OcaNG4cjR47g1q1bSlenVFm5ciXi4+Nx/PhxVKhQAd26dcOff/6ZZ9nMzExoNBr4+flBpVLZuKZERKQEBodERGQzKSkpWLduHUaNGoWuXbti1apVucr88MMPaN68Odzc3FChQgX07NkTANC+fXvcuHEDEydOlHvAAGDWrFlo3LixyT7mzZuHoKAg+feffvoJL730EipUqABvb2+0a9cOv/zyi7X+TGzatAn169eHq6srgoKCMGfOHJPH8xrC6uPjI78fGRkZGDt2LCpXrgw3NzdUq1YNERERctnExEQMHz4cFStWhFarxYsvvohz584VWi8fHx/4+fmhQYMGWLx4MR4/foy9e/fKdVq8eDFeeeUVlClTBh9//HGevaLHjx9H+/bt4eHhgbJlyyIsLAwPHjwAAOj1ekRERKB69epwd3dHo0aNsHHjRvm5Dx48wMCBA1GxYkW4u7ujVq1aWLlyZVHeWiIisiIGh0REZDPr169H3bp1UadOHQwaNAgrVqyAJEny4zt27EDPnj3RpUsX/Prrr9i/fz9atGgBANi8eTOqVq2KDz/8EPHx8YiPjzf7dR8+fIghQ4bg2LFjOHnyJGrVqoUuXbrg4cOHFv8bz5w5g9deew39+vXDhQsXMGvWLMyYMSPPQDg/8+fPx7Zt27B+/XpcvnwZ3333nUmw++qrr+LOnTvYtWsXzpw5gyZNmqBjx464f/++2a/h7u4OwBCIGs2aNQs9e/bEhQsX8MYbb+R6ztmzZ9GxY0fUq1cP0dHROHbsGP71r39Bp9MBACIiIvDNN98gMjISv/32GyZOnIhBgwbh8OHDAIAZM2bgG90RmgAABpVJREFU4sWL2LVrFy5duoTFixejQoUKZteZiIisy1npChARUemxfPlyDBo0CADQuXNnJCUl4fDhw2jfvj0A4OOPP0a/fv3wwQcfyM9p1KgRAKBcuXJQq9Xw8vKCn59fkV73xRdfNPl96dKl8PHxweHDh9GtWzez97N9+3Z4enqabDMGRkZz585Fx44dMWPGDABA7dq1cfHiRXz22WcYOnSoWa8TFxeHWrVq4YUXXoBKpUK1atXkx44dO4bTp0/jzp07cHV1BQB8/vnn2LJlCzZu3IgRI0YUuv/U1FRMnz4darUa7dq1k7cPGDAAw4YNk3/POeR09uzZaNasGRYtWiRvq1+/PgAgPT0dn3zyCfbt24eQkBAAwDPPPINjx45hyZIlaNeuHeLi4vDcc8+hWbNmAGAS8BIRkfLYc0hERDZx+fJlnD59Gv379wcAODs7o2/fvli+fLlcxtgzZWm3b9/GW2+9hVq1asHb2xtarRYpKSmIi4sr0n46dOiAs2fPmvxbtmyZSZlLly6hdevWJttat26Nq1ev5gok8zN06FCcPXsWderUwfjx47Fnzx75sXPnziElJQXly5eHp6en/O/69eu4du1agfvt378/PD094eXlhU2bNmH58uV49tln5ceNQVt+Cvp8/vjjD6SmpuKll14yqdc333wj12vUqFFYu3YtGjdujClTpuDEiRNmvR9ERGQb7DkkIiKbWL58ObKyslClShV5myRJcHV1xYIFC+Dt7S0PdSwKJycnk6GpgCGZSnZDhgzBP//8gy+//BLVqlWDq6srQkJCTIZUmqNMmTKoWbOmyba///67yHVWqVQF1rlJkya4fv06du3ahX379uG1115DaGgoNm7ciJSUFFSuXBmHDh3KtV8fH58CX/eLL75AaGgovL29UbFixVyPlylTpsDnF/T5pKSkADAMDfb39zd5zNjD+fLLL+PGjRvYuXMn9u7di44dO2LMmDH4/PPPC3xdIiKyDfYcEhGR1WVlZeGbb77BnDlzTHrdzp07hypVquD7778HADz77LPYv39/vvvRaDS5et8qVqyIhIQEk2Dr7NmzJmWOHz+O8ePHo0uXLnKimHv37lnuD8wmODgYx48fz/X6tWvXhlqtluucfc7k1atXkZqaavIcrVaLvn374n//+x/WrVuHTZs24f79+2jSpAkSEhLg7OyMmjVrmvwrbP6en58fatasmWdgaI6CPp969erB1dUVcXFxueoVEBAgl6tYsSKGDBmCb7/9FvPmzcPSpUuLVRciIrI89hwSEZHVbd++HQ8ePMCbb76Za8283r17Y/ny5QgPD8fMmTPRsWNH1KhRA/369UNWVhZ27tyJqVOnAjDMUTty5Aj69esHV1dXVKhQAe3bt8fdu3cxe/Zs9OnTB7t378auXbug1Wrl16hVqxZWr16NZs2aITk5GZMnTy5WL6U53n77bTRv3hwfffQR+vbti+joaCxYsMBknt6LL76IBQsWICQkBDqdDlOnToWLi4v8+Ny5c1G5cmU899xzcHJywoYNG+Dn5wcfHx+EhoYiJCQEPXr0wOzZs1G7dm3cunVLTuZT2NDQkpg2bRoaNmyI0aNHIzw8HBqNBgcPHsSrr76KChUq4J133sHEiROh1+vxwgsvICkpCcePH4dWq8WQIUPw/vvvo2nTpqhfvz7S09Oxfft2BAcHW62+RERUNOw5JCIiq1u+fLk8nDGn3r174+eff8b58+fRvn17bNiwAdu2bUPjxo3x4osv4vTp03LZDz/8ELGxsahRo4bc+xUcHIxFixZh4cKFaNSoEU6fPo133nkn1+s/ePAATZo0weDBgzF+/Hj4+vpa5W9t0qQJ1q9fj7Vr16JBgwZ4//338eGHH5oko5kzZw4CAgLQpk0bDBgwAO+88w48PDzkx728vOTkL82bN0dsbCx27twJJycnqFQq7Ny5E23btsWwYcNQu3Zt9OvXDzdu3EClSpWs8jcZ1a5dG3v27MG5c+fQokULhISEYOvWrXB2Ntxr/uijjzBjxgxEREQgODgYnTt3xo4dO1C9enUAhp7fadOm4dlnn0Xbtm2hVquxdu1aq9aZiIjMp5JyTnogIiIiIiKiUoc9h0RERERERMTgkIiIiIiIiBgcEhERERERERgcEhERERERERgcEhERERERERgcEhERERERERgcEhERERERERgcEhERERERERgcEhERERERERgcEhERERERERgcEhEREREREYD/BwWVjVNUe6LYAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### BEGIN SOLUTION\n", "# Store scatter plot and line plot data in variables\n", "scatter_data = {\n", " 'actual': y_test,\n", " 'predicted': y_pred\n", "}\n", "\n", "# Define the average house features\n", "avg_house = np.array([[2, 1, 1200]])\n", "\n", "# Scale the average house data\n", "avg_house_scaled = scaler.transform(avg_house)\n", "\n", "# Predict the price using the trained K-Nearest Neighbors Regressor\n", "predicted_price = best_model.predict(avg_house_scaled)\n", "\n", "# Extract the value from the ndarray\n", "predicted_price_value = predicted_price[0]\n", "\n", "line_plot_data = {\n", " 'x': [min(y_test), max(y_test)],\n", " 'y': [min(y_test), max(y_test)]\n", "}\n", "\n", "print(f\"Predicted price: ${predicted_price_value:,.2f}\")\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.scatter(y_test, y_pred, color='#FF8200', label='Predicted vs Actual')\n", "plt.scatter(predicted_price_value, predicted_price_value, color='#4B4B4B')\n", "#plt.plot([min(y_test), max(y_test)], [min(y_test), max(y_test)], color='#4B4B4B', linestyle='--')\n", "plt.plot(line_plot_data['x'], line_plot_data['y'], color='#4B4B4B', linestyle='--')\n", "plt.title(\"K-Nearest Neighbors: Predicted vs Actual House Prices\")\n", "plt.xlabel(\"Actual House Prices\")\n", "plt.ylabel(\"Predicted House Prices\")\n", "plt.legend()\n", "plt.show()\n", "### END SOLUTION\n", "\n", "# Creating plots to Zoom in on the data\n", "# PLOT for 0 - 1 Million\n", "plt.figure(figsize=(10, 6))\n", "plt.scatter(y_test, y_pred, color='#FF8200', label='Predicted vs Actual')\n", "plt.scatter(predicted_price_value, predicted_price_value, color='#4B4B4B')\n", "plt.plot([min(y_test), max(y_test)], [min(y_test), max(y_test)], color='#4B4B4B', linestyle='--')\n", "plt.title(\"K-Nearest Neighbors: Predicted vs Actual House Prices\")\n", "plt.xlabel(\"Actual House Prices\")\n", "plt.ylabel(\"Predicted House Prices\")\n", "\n", "# Set the formatter to display plain numbers without scientific notation\n", "plt.gca().xaxis.set_major_formatter(ScalarFormatter(useOffset=False))\n", "plt.gca().yaxis.set_major_formatter(ScalarFormatter(useOffset=False))\n", "plt.ticklabel_format(style='plain', axis='both') # Ensure plain formatting\n", "\n", "# Set x and y limits to zoom into the 0 to 1 million range\n", "plt.xlim(0, 1_000_000)\n", "plt.ylim(0, 1_000_000)\n", "plt.legend()\n", "plt.show()\n", "\n", "\n", "# PLOT for 200K - 300K\n", "plt.figure(figsize=(10, 6))\n", "plt.scatter(y_test, y_pred, color='#FF8200', label='Predicted vs Actual')\n", "plt.scatter(predicted_price_value, predicted_price_value, color='#4B4B4B')\n", "plt.plot([min(y_test), max(y_test)], [min(y_test), max(y_test)], color='#4B4B4B', linestyle='--')\n", "plt.title(\"K-Nearest Neighbors: Predicted vs Actual House Prices\")\n", "plt.xlabel(\"Actual House Prices\")\n", "plt.ylabel(\"Predicted House Prices\")\n", "\n", "# Set the formatter to display plain numbers without scientific notation\n", "plt.gca().xaxis.set_major_formatter(ScalarFormatter(useOffset=False))\n", "plt.gca().yaxis.set_major_formatter(ScalarFormatter(useOffset=False))\n", "plt.ticklabel_format(style='plain', axis='both') # Ensure plain formatting\n", "\n", "# Set x and y limits to zoom into the 200K to 300K range\n", "plt.xlim(200_000, 300_000)\n", "plt.ylim(200_000, 300_000)\n", "plt.legend()\n", "plt.show()" ] }, { "attachments": { "c60d8ce9-7a30-4d29-8c8f-600ca238beb0.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "6dcb3085", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:c60d8ce9-7a30-4d29-8c8f-600ca238beb0.png)\n", "\n", "\n", "**Explanation:**\n", "\n", "In this task, you created a scatter plot to compare the predicted and actual house prices, which allows you to visually assess how well the model's predictions align with the true values. You also plotted a line where predicted values equal actual values to serve as a reference. Additionally, you made a prediction for a specific house configuration (2 bedrooms, 1 bathroom, 1200 sqft) using the trained model.\n", "\n", "**Why is this important?**\n", "\n", "Visualizing predictions vs. actual values helps you quickly identify patterns, trends, and potential areas where the model might be underperforming. Predicting the price of a specific house configuration demonstrates the practical application of the model.\n", "\n", "**Output Explanation:**\n", "\n", "The scatter plot shows the predicted vs. actual house prices, with the line plot indicating perfect predictions. The proximity of the points to this line indicates how close the predictions are to the actual values. The prediction for the specific house configuration ($233,230) provides a concrete example of the model's output, showing how the KNN model can be used to estimate house prices based on the given features." ] }, { "cell_type": "markdown", "id": "d20035b9-5321-45e1-88da-a80210a12a0e", "metadata": {}, "source": [ "\n", "# Part 5: Knowledge Check\n", "\n", "**Task (You):**\n", "20 points\n", "\n", "1. Filter the dataset to include only houses in Knoxville, Tennessee. \n", "2. Use the following columns from the dataset: `price`, `bed`, `bath`, `house_size`, `acre_lot`, and `zip_code`. \n", "3. Remove rows with missing values in these columns. \n", "4. Split the data into training and testing sets, scale the features, and train a new KNN model. \n", "5. Use this trained model to predict the cost of a house with `3` bedrooms, `2` bathrooms, `2000` sqft, `0.5` acres, in the zipcode `37201`. \n", "6. Evaluate the model's performance by calculating the accuracy score. \n", "7. Output should include the predicted price, the accuracy score, and a scatter plot of the results.\n", "8. Display the line plot data.\n", "9. Display the predicted point on the plot.\n", "10. Round the results to 2 significant figures.\n", "11. Use the Global RANDOM_STATE already defined at the beginning of the homework." ] }, { "cell_type": "markdown", "id": "c4c25416-f09b-4174-b375-70a7aebb58b6", "metadata": {}, "source": [ "
\n", " Task Hint\n", "\n", "- *Why:* This final task integrates all the learned concepts, ensuring you can apply them in a practical scenario.\n", "- *How:* This task reinforces learning by applying data preprocessing, scaling, and model prediction in a real-world context.\n", "- *Example:* Predicting the price of an average house in a specific city based on its features ensures that you can use the entire process of data handling, model training, and prediction effectively.\n", "- *Extra Example:* Predicting the average score of a student based on average study hours, age, and other features ensures that you understand the entire process from data handling to model prediction.\n", "\n", "\n", "```python\n", "'''\n", "Lines of code ≈ 30\n", "'''\n", "```" ] }, { "cell_type": "code", "execution_count": 3, "id": "abe259c3-d94e-4c34-9432-7bcf6bc81bcf", "metadata": { "nbgrader": { "grade": true, "grade_id": "cell-904102bb25819a45", "locked": true, "points": 0, "schema_version": 3, "solution": false, "task": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Predicted price: $389,966.67\n", "Accuracy: 0.73\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from matplotlib.ticker import ScalarFormatter\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.neighbors import KNeighborsRegressor\n", "from sklearn.metrics import mean_squared_error, r2_score\n", "\n", "# Load the dataset\n", "url = \"https://media.githubusercontent.com/media/CuriousNeuralNerd/data/main/housing_market.csv\"\n", "data = pd.read_csv(url)\n", "\n", "# Global variable for random state\n", "RANDOM_STATE = 42\n", "\n", "\n", "### BEGIN SOLUTION\n", "# Filter for houses in Knoxville, Tennessee\n", "tn_houses = data[(data['state'] == 'Tennessee') & (data['city'] == 'Knoxville')]\n", "\n", "# Remove rows with NaN values in specific columns\n", "tn_houses = tn_houses.dropna(subset=['price', 'bed', 'bath', 'house_size', 'acre_lot', 'zip_code'])\n", "\n", "# Define the features and target\n", "X = tn_houses[['bed', 'bath', 'house_size', 'acre_lot', 'zip_code']].values\n", "y = tn_houses['price'].values\n", "\n", "# Split the data for the specific zipcode into training and testing sets\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=RANDOM_STATE)\n", "\n", "# Scale the feature data for the specific zipcode\n", "scaler = StandardScaler()\n", "X_train_scaled = scaler.fit_transform(X_train)\n", "X_test_scaled = scaler.transform(X_test)\n", "\n", "# Train the KNN model on the data for the specific zipcode\n", "knn_zipcode = KNeighborsRegressor(n_neighbors=3)\n", "knn_zipcode.fit(X_train_scaled, y_train)\n", "\n", "# Define the house features\n", "house_features = np.array([[3, 2, 2000, 0.5, 37201]])\n", "\n", "# Scale the house data\n", "house_features_scaled = scaler.transform(house_features)\n", "\n", "# Predict the price using the trained K-Nearest Neighbors Regressor\n", "predicted_price = knn_zipcode.predict(house_features_scaled)\n", "predicted_price = predicted_price[0] # Extract the prediction value\n", "print(f\"Predicted price: ${predicted_price:,.2f}\")\n", "\n", "# Make predictions and evaluate the model on the data for the specific zipcode\n", "y_pred_zip = knn_zipcode.predict(X_test_scaled)\n", "accuracy_zip = knn_zipcode.score(X_test_scaled, y_test)\n", "\n", "print(f\"Accuracy: {accuracy_zip:.2f}\")\n", "\n", "# Scatter plot of the testing data points\n", "plt.figure(figsize=(10, 6))\n", "plt.scatter(y_test, y_pred_zip, color='#FF8200', alpha=0.5)\n", "plt.scatter(predicted_price, predicted_price, color='#4B4B4B', label=f'Predicted Price for House: ${predicted_price:,.2f}')\n", "plt.plot([y_test.min(), y_test.max()], [y_test.min(), y_test.max()], color='#4B4B4B', linestyle='--')\n", "plt.xlabel('Actual Prices')\n", "plt.ylabel('Predicted Prices')\n", "plt.title('Actual vs. Predicted Prices')\n", "plt.legend()\n", "plt.show()\n", "### END SOLUTION" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "d831b5f2", "metadata": {}, "source": [ "
\n", " Expected Hint\n", "\n", "**Expected Output:**\n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "markdown", "id": "c67665a0", "metadata": {}, "source": [ "## Submission Instructions\n", "\n", "To complete your submission for this homework, please follow these steps:\n", "\n", "1. **Save the Completed Notebook**: Ensure that all your code and written answers are finalized, then save the `.ipynb` file.\n", "2. **Export to PDF**: Additionally, export or save your completed notebook as a `PDF` file.\n", "3. **Submit Both Files**: Turn in both the `.ipynb` file and the `PDF` file. Make sure that both files are clearly labeled and include your Net ID (`HW_x_NetID`)." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 5 }