mirror of
https://github.com/youronlydimwit/Data_ScienceUse_Cases.git
synced 2025-12-16 07:16:21 +01:00
418 lines
212 KiB
Plaintext
418 lines
212 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "d65c21ba",
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"metadata": {},
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"source": [
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"# Import Libraries & Dataset"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "10bc7aeb",
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"metadata": {},
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"outputs": [],
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"source": [
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"import pandas as pd\n",
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"import matplotlib.pyplot as plt\n",
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"import seaborn as sns\n",
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"from sklearn.cluster import KMeans"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "762a15df",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/html": [
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"<div>\n",
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"<style scoped>\n",
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" .dataframe tbody tr th:only-of-type {\n",
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" vertical-align: middle;\n",
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" }\n",
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"\n",
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" .dataframe tbody tr th {\n",
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" vertical-align: top;\n",
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" }\n",
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"\n",
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" .dataframe thead th {\n",
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" text-align: right;\n",
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" }\n",
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"</style>\n",
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"<table border=\"1\" class=\"dataframe\">\n",
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" <thead>\n",
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" <tr style=\"text-align: right;\">\n",
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" <th></th>\n",
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" <th>CustomerID</th>\n",
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" <th>Genre</th>\n",
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" <th>Age</th>\n",
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" <th>Annual Income (k$)</th>\n",
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" <th>Spending Score (1-100)</th>\n",
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" </tr>\n",
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" </thead>\n",
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" <tbody>\n",
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" <tr>\n",
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" <th>0</th>\n",
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" <td>1</td>\n",
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" <td>Male</td>\n",
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" <td>19</td>\n",
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" <td>15</td>\n",
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" <td>39</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>1</th>\n",
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" <td>2</td>\n",
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" <td>Male</td>\n",
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" <td>21</td>\n",
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" <td>15</td>\n",
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" <td>81</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>2</th>\n",
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" <td>3</td>\n",
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" <td>Female</td>\n",
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" <td>20</td>\n",
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" <td>16</td>\n",
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" <td>6</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>3</th>\n",
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" <td>4</td>\n",
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" <td>Female</td>\n",
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" <td>23</td>\n",
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" <td>16</td>\n",
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" <td>77</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>4</th>\n",
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" <td>5</td>\n",
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" <td>Female</td>\n",
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" <td>31</td>\n",
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" <td>17</td>\n",
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" <td>40</td>\n",
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" </tr>\n",
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" </tbody>\n",
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"</table>\n",
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"</div>"
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],
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"text/plain": [
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" CustomerID Genre Age Annual Income (k$) Spending Score (1-100)\n",
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"0 1 Male 19 15 39\n",
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"1 2 Male 21 15 81\n",
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"2 3 Female 20 16 6\n",
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"3 4 Female 23 16 77\n",
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"4 5 Female 31 17 40"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"df = pd.read_csv(\"https://raw.githubusercontent.com/youronlydimwit/Data_ScienceUse_Cases/refs/heads/main/Clustering/Data/Mall_Customers.csv\")\n",
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"df.head()"
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]
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},
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{
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"cell_type": "markdown",
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"id": "a8f91739",
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"metadata": {},
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"source": [
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"# Quick Check Ups"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "a6c61fba",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"<class 'pandas.core.frame.DataFrame'>\n",
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"RangeIndex: 200 entries, 0 to 199\n",
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"Data columns (total 5 columns):\n",
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" # Column Non-Null Count Dtype \n",
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"--- ------ -------------- ----- \n",
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" 0 CustomerID 200 non-null int64 \n",
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" 1 Genre 200 non-null object\n",
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" 2 Age 200 non-null int64 \n",
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" 3 Annual Income (k$) 200 non-null int64 \n",
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" 4 Spending Score (1-100) 200 non-null int64 \n",
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"dtypes: int64(4), object(1)\n",
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"memory usage: 7.9+ KB\n"
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]
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}
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],
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"source": [
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"df.info()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"id": "b65831ed",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 864x288 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Create a 3x1 grid for the histograms\n",
|
|
"fig, axs = plt.subplots(1, 3, figsize=(12, 4))\n",
|
|
"\n",
|
|
"# Plot histogram for Age\n",
|
|
"axs[0].hist(df['Age'], bins=10, color='skyblue', edgecolor='black')\n",
|
|
"axs[0].set_title('Age Distribution')\n",
|
|
"axs[0].set_xlabel('Age')\n",
|
|
"axs[0].set_ylabel('Frequency')\n",
|
|
"\n",
|
|
"# Plot histogram for Annual Income (k$)\n",
|
|
"axs[1].hist(df['Annual Income (k$)'], bins=10, color='lightgreen', edgecolor='black')\n",
|
|
"axs[1].set_title('Annual Income Distribution')\n",
|
|
"axs[1].set_xlabel('Annual Income (k$)')\n",
|
|
"axs[1].set_ylabel('Frequency')\n",
|
|
"\n",
|
|
"# Plot histogram for Spending Score (1-100)\n",
|
|
"axs[2].hist(df['Spending Score (1-100)'], bins=10, color='salmon', edgecolor='black')\n",
|
|
"axs[2].set_title('Spending Score Distribution')\n",
|
|
"axs[2].set_xlabel('Spending Score (1-100)')\n",
|
|
"axs[2].set_ylabel('Frequency')\n",
|
|
"\n",
|
|
"# Adjust layout to avoid overlap\n",
|
|
"plt.tight_layout()\n",
|
|
"\n",
|
|
"# Show the plots\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "584fb8ce",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Pre-Clustering\n",
|
|
"We will feed the data into kmeans and select how many clusters works best based on the **Elbow method**."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"id": "7a7ff67f",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"C:\\Users\\sang.yogi\\Anaconda3\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:1036: UserWarning: KMeans is known to have a memory leak on Windows with MKL, when there are less chunks than available threads. You can avoid it by setting the environment variable OMP_NUM_THREADS=1.\n",
|
|
" warnings.warn(\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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GDQojGTTkUUREMkEBIU917Bju0XD33WFuBBERkZqkgJDHhgwJlxgmToy7EhERKTQZCwhm1tbMpprZh2b2gZldFLVfbWZfmtnMaDkmaZ8rzWyOmf3bzHontXcxs1nRutvMzKL2rc3skah9upl1SNqnn5l9Ei39MvU543TkkWHyJA15FBGRmpbJMwjrgEvdfXdgf2CgmXWK1t3s7ntHyzMA0bq+QGfgKOAuM6sdbX83MADoGC1HRe39gWXuvgtwM3B9dKymwDBgP6AbMMzMmmTws8YiMeRx+vSwiIiI1JSMBQR3X+jub0fPlwMfAq0r2aUP8LC7r3H3z4E5QDczawU0dPfX3N2BscCJSfuMiZ5PBA6Pzi70Bia7+1J3XwZMZmOoKChnnx1GNWjIo4iI1KSs9EGITv3vAyT+zh1kZu+Z2eikv+xbA18k7bYgamsdPS/bvsk+7r4O+A5oVsmxCs5228Evfwnjx4cpmEVERGpCnUy/gZltCzwKXOzu35vZ3cBwwKPHG4FfApZid6+knc3cJ7m2AYRLF7Rs2ZLS0tJKP0t1rVixosaPmUrXrvVZt64bV145j3POmbtFx8pWzTVJNWeHas4O1Zwd+VgzZLlud8/YAtQFngd+XcH6DsD70fMrgSuT1j0PHAC0Aj5Kaj8duCd5m+h5HeBrQjj43zbRunuA0yurtUuXLl7Tpk6dWuPHrMhxx7m3bOm+evWWHSebNdcU1Zwdqjk7VHN25GPN7jVfN/CWV/C7mMlRDAbcB3zo7jcltbdK2uwk4P3o+SSgbzQyYUdCZ8Q33H0hsNzM9o+OeTbwRNI+iREKpwBTog/8PNDLzJpElzB6RW0Fa8gQWLQIJkyIuxIRESkEmbzEcBBwFjDLzGZGbb8DTjezvQmn/OcC5wO4+wdmNh6YTRgBMdDd10f7XQDcD9QHno0WCAHk72Y2B1hKGAWBuy81s+FA4nZG17j70ox8yhxxxBGw++5w661QUgKW6iKLiIhImjIWENz9FVL3BXimkn1GACNStL8F7JGifTVwagXHGg2MTrfefGcWhjxeeGEY8rj//nFXJCIi+UwzKRaQs86CRo3CWQQREZEtoYBQQLbdFvr3D1Mvf/ll3NWIiEg+U0AoMAMHwvr18Ne/xl2JiIjkMwWEArPTTnD88XDPPbB6ddzViIhIvlJAKEBDhsCSJfDII3FXIiIi+UoBoQD17AmdOoXOil5u/kgREZGqKSAUILNwFuGdd+Bf/4q7GhERyUcKCAXqzDOhcWO47ba4KxERkXykgFCgttkGzj0XHn0UFiyoensREZFkCggFbODA0Afh7rvjrkRERPKNAkIB69ABTjghDHlctSruakREJJ8oIBS4IUPgm2/g4YfjrkRERPKJAkKB694d9tgjdFbUkEcREUmXAkKBSwx5nDkTXnkl7mpERCRfKCAUgZISaNJEQx5FRCR9CghFoEEDOO88eOwxmD8/7mpERCQfKCAUiQsv1JBHERFJnwJCkWjfHk48EUaO1JBHERGpmgJCERkyBJYuhQcfjLsSERHJdQoIReTQQ+EnP9GQRxERqZoCQhFJDHl87z146aW4qxERkVymgFBkzjgDmjXTkEcREamcAkKRqV8fBgyAxx+HefPirkZERHKVAkIRuuCCcLnhrrvirkRERHKVAkIRatsWfvYzuPdeWLky7mpERCQXKSAUqSFDYNkyGDcu7kpERCQXKSAUqYMOgn320ZBHERFJTQGhSCWGPL7/PpSWxl2NiIjkGgWEIta3LzRvriGPIiJSngJCEatXD84/HyZNgs8/j7saERHJJQoIRU5DHkVEJBUFhCLXujWccgqMGgU//BB3NSIikisUEIQhQ+Dbb6FdO+jZ8zA6dNDwRxGRYlcn7gIkfp9/Hi4zLF0KYMybF6ZjBigpibMyERGJi84gCEOHlp8LYeXK0C4iIsVJAUGYP7967SIiUvgUEIR27arXLiIihU8BQRgxAho02LStfv3QLiIixUkBQSgpgZEjoX17gNAZoUcPdVAUESlmCggChDAwdy5MnTqN886DF16ADz+MuyoREYmLAoKUc+21sN12YX4E3elRRKQ4KSBIOc2bw/Dh8M9/wj/+EXc1IiISBwUESen882GvveCSS8KcCCIiUlwUECSlOnXgjjvgiy/gT3+KuxoREck2BQSp0MEHw5lnwp//DHPmxF2NiIhkkwKCVOrPf4attgqXGkREpHhkLCCYWVszm2pmH5rZB2Z2UdTe1Mwmm9kn0WOTpH2uNLM5ZvZvM+ud1N7FzGZF624zM4vatzazR6L26WbWIWmfftF7fGJm/TL1OQtdq1Zw9dXw1FNhERGR4pDJMwjrgEvdfXdgf2CgmXUCrgBedPeOwIvRa6J1fYHOwFHAXWZWOzrW3cAAoGO0HBW19weWufsuwM3A9dGxmgLDgP2AbsCw5CAi1TNkCOy+O1x8MaxeHXc1IiKSDRkLCO6+0N3fjp4vBz4EWgN9gDHRZmOAE6PnfYCH3X2Nu38OzAG6mVkroKG7v+buDowts0/iWBOBw6OzC72Bye6+1N2XAZPZGCqkmurWhdtug08/hRtvjLsaERHJhjrZeJPo1P8+wHSgpbsvhBAizGz7aLPWwOtJuy2I2tZGz8u2J/b5IjrWOjP7DmiW3J5in+S6BhDOTNCyZUtKS0s3+zOmsmLFiho/ZqZVVHOdOnDYYZ0YPrwZu+zyBi1brsl+cRUopO85l6nm7FDN2ZGPNUN26854QDCzbYFHgYvd/fuo+0DKTVO0eSXtm7vPxgb3kcBIgK5du3r37t0rqm2zlJaWUtPHzLTKah47FnbbDSZOPIAJE7JbV2UK7XvOVao5O1RzduRjzZDdujM6isHM6hLCwTh3T8zJtyi6bED0uDhqXwC0Tdq9DfBV1N4mRfsm+5hZHaARsLSSY8kWaNcOhg6FiRPDLIsiIlK4MjmKwYD7gA/d/aakVZOAxKiCfsATSe19o5EJOxI6I74RXY5Ybmb7R8c8u8w+iWOdAkyJ+ik8D/QysyZR58ReUZtsoUsvhZ13hsGD4b//jbsaERHJlEyeQTgIOAvoaWYzo+UY4DrgSDP7BDgyeo27fwCMB2YDzwED3X19dKwLgFGEjoufAs9G7fcBzcxsDvBrohER7r4UGA68GS3XRG2yherVg1tugY8+gttvj7saERHJlIz1QXD3V0jdFwDg8Ar2GQGMSNH+FrBHivbVwKkVHGs0MDrdeiV9xx0Hxx4b5kc444wwV4KIiBQWzaQom+WWW8Ilht/+Nu5KREQkExQQZLPssgtcdhk88AC88krc1YiISE1TQJDNduWV0LYtDBoE69dXvb2IiOQPBQTZbNtsAzfdBO++C/fcE3c1IiJSkxQQZIucfDIcfniYH2HJkrirERGRmqKAIFvELNynYcWKEBJERKQwKCDIFuvUCS66CEaNgjffjLsaERGpCQoIUiOuugpatgwdFjdsiLsaERHZUgoIUiMaNoQbboA33oD774+7GhER2VIKCFJjSkrg4IPhiitg2bK4qxERkS2R9lTLZnYs0Bmol2hz92syUZTkJ7Nwf4YuXWDYsNB5UURE8lNaZxDM7K/AacBgwv0VTgXaZ7AuyVN77w2/+hXceSe8917c1YiIyOZK9xLDge5+NrDM3f8AHAC0zVxZks+GD4cmTUKHRfe4qxERkc2RbkBYFT2uNLMdgLXAjpkpSfJd06bwpz/Byy/DQw/FXY2IiGyOdAPCU2bWGLgBeBuYCzycoZqkAPzyl9C1K/zmN7B8edzViIhIdaUVENx9uLt/6+6PEvoe7Obu/5fZ0iSf1a4Nd9wBCxeGSw4iIpJfKh3FYGY93X2Kmf0sxTrc/R+ZK03y3X77hTMJt9wSHnfbLe6KREQkXVWdQTgsejw+xXJcBuuSAvGnP0GDBjBkiDosiojkk0rPILj7sOjpNe7+efI6M1MnRanS9tuHSwxDhsDjj8NJJ8VdkYiIpCPdToqPpmibWJOFSOG64ALYc0+45BJYuTLuakREJB2VBgQz283MTgYamdnPkpZzSJpRUaQydeqEDovz5sH118ddjYiIpKOqqZZ3JfQ1aEzod5CwHDgvQzVJATr0UDjjjBAQ+vWDnXaKuyIREalMVX0QnjCzp4DL3f3aLNUkBeqGG2DSpHCp4Ykn4q5GREQqU2UfBHdfDxyZhVqkwO2wA1x1VQgJzzwTdzUiIlKZdDsp/svM7jCzQ8xs38SS0cqkIF10Eey6a3hcsybuakREpCLp3u75wOgx+fbODvSs2XKk0G21VbgNdO/ecNNNcOWVcVckIiKppBUQ3L1HpguR4tGrV5gP4Y9/hDPPhLa6L6iISM5J6xKDmbU0s/vM7NnodScz65/Z0qSQ3XQTbNgQbuYkIiK5J90+CPcDzwM7RK8/Bi7OQD1SJDp0CJcXxo+HKVPirkZERMpKNyA0d/fxwAYAd18HrM9YVVIULrsMdtwRBg+GtWvjrkZERJKlGxB+MLNmhI6JmNn+wHcZq0qKQv364U6Ps2eHmRZFRCR3pBsQfg1MAnY2s1eBscDgjFUlReP44+Hoo2HYMPjPf+KuRkREEtIKCO7+NuHWzwcC5wOd3f29TBYmxcEMbr01zIlwxRVxVyMiIgnpnkEA6AbsBewLnG5mZ2emJCk2HTvCpZfCmDHwr3/FXY2IiED6wxz/DvwFOBj4abR0zWBdUmSGDoU2bWDQIFiv7q8iIrFLdybFrkAnd/dMFiPFa5tt4MYb4bTT4N574Ve/irsiEZHilu4lhveBH2WyEJFTT4UePcLZhG++ibsaEZHilvY8CMBsM3vezCYllkwWJsXHLNyn4bvvQkgQEZH4pHuJ4epMFiGSsMceYeKkW2+F886DLl3irkhEpDile7OmaZkuRCTh6qvhwQdDh8VXX4Va1RlrIyIiNaLSf3rNbLmZfZ9iWW5m32erSCkujRrBn/8Mr78OY8fGXY2ISHGqNCC4+3bu3jDFsp27N8xWkVJ8zjoLDjgALr8cvv027mpERIqPTt5KTqpVK9yfYcmScMlBRESySwFBcta++8L554egMGtW3NWIiBQXBQTJaX/8Y+iTMHgwaJouEZHsUUCQnNasGVx7LUybBo88Enc1IiLFI2MBwcxGm9liM3s/qe1qM/vSzGZGyzFJ6640szlm9m8z653U3sXMZkXrbjMzi9q3NrNHovbpZtYhaZ9+ZvZJtPTL1GeU7Dj33HC54dJLYcWKuKsRESkOmTyDcD9wVIr2m91972h5BsDMOgF9gc7RPneZWe1o+7uBAUDHaEkcsz+wzN13AW4Gro+O1RQYBuxHuAPlMDNrUvMfT7Kldu3QD+Grr8IlBxERybyMBQR3fwlYmubmfYCH3X2Nu38OzAG6mVkroKG7vxbdKGoscGLSPmOi5xOBw6OzC72Bye6+1N2XAZNJHVQkjxxwAJxzDtx0E3z8cdzViIgUvnSnWq5Jg8zsbOAt4NLoR7w18HrSNguitrXR87LtRI9fALj7OjP7DmiW3J5in02Y2QDC2QlatmxJaWnpFn2wslasWFHjx8y0XK75+OPrMmHCfpx55vdcf/17hItNuV1zRVRzdqjm7FDN2ZPNurMdEO4GhgMePd4I/BKwFNt6Je1s5j6bNrqPBEYCdO3a1bt3715J6dVXWlpKTR8z03K95vnz4ZJLmvL9993p0ye05XrNqajm7FDN2aGasyebdWd1FIO7L3L39e6+AbiX0EcAwl/5bZM2bQN8FbW3SdG+yT5mVgdoRLikUdGxpAAMHAidO8PFF8OqVXFXIyJSuLIaEKI+BQknAYkRDpOAvtHIhB0JnRHfcPeFwHIz2z/qX3A28ETSPokRCqcAU6J+Cs8DvcysSdQ5sVfUJgWgbl24/XaYOzfcr0FERDIjk8McHwJeA3Y1swVm1h/4czRk8T2gB3AJgLt/AIwHZgPPAQPdfX10qAuAUYSOi58Cz0bt9wHNzGwO8GvgiuhYSwmXL96MlmuiNikQPXrAaaeFEQ2tW0PPnofRoQOMGxd3ZSIihSNjfRDc/fQUzfdVsv0IYESK9reAPVK0rwZOreBYo4HRaRcreeegg8LESV99BWDMmwcDBoR1JSVxViYiUhg0k6LkpRtvLN+2ciUMHZr9WkRECpECguSl+fOr1y4iItWjgCB5qV276rWLiEj1KCBIXhoxAho0KN9+8snZr0VEpBApIEheKimBkSOhfXswc9q0gR13hFtvhYceirs6EZH8p4AgeaukJMyHMGXKNL74AmbODKMbSkrg3nvjrk5EJL8pIEjBaNgQnn0WjjoqDHm86aa4KxIRyV8KCFJQGjSAxx+HU0+FSy+Fq68GT3knDhERqUwcd3MUyaittgr9ELbdFv7wB/j++zBvgqW6jZeIiKSkgCAFqXZtGDUKttsObr4Zli+Hv/41tIuISNUUEKRg1aoFt9wCjRrB8OEhJIwdG84wiIhI5RQQpKCZwTXXhDMJv/0trFgBEyZA/fpxVyYiktvUSVGKwmWXhUsMzzwDxx4bziaIiEjFFBCkaJx/PjzwALz0Ehx5JCzVTcBFRCqkgCBF5Ywz4NFH4Z13oEcPWLQo7opERHKTAoIUnT594OmnYc4cOOQQ3QFSRCQVBQQpSkccAZMnw+LFcPDB8MkncVckIpJbFBCkaB14IEydCqtWhTMJ770Xd0UiIrlDAUGK2j77wMsvQ5060L07TJ8ed0UiIrlBAUGK3m67wSuvQJMm4dJDaWncFYmIxE8BQQTo0CGcSWjXDo4+OnRiFBEpZgoIIpEddoBp06BzZzjxRBg/Pu6KRETio4AgkqR5c5gyBQ44AE4/HUaPjrsiEZF4KCCIlNGwITz3HPTqBf37hxs+iYgUGwUEkRQaNIAnnoCTT4ZLLgl3g3SPuyoRkexRQBCpwFZbwcMPQ79+cNVV4W6QCgkiUix0u2eRStSpE/ohbLcd/OUv8P33cNddULt23JWJiGSWAoJIFWrVgttuC30Trr0WVqyA+++HunXjrkxEJHMUEETSYAYjRoSQcMUVISQ88gjUqxd3ZSIimaE+CCLVcPnlcOedMGkSHHdcCAoiIoVIAUGkmi68EMaODVMy9+oF334bd0UiIjVPAUFkM5x1FkyYADNmhJs8LV4cd0UiIjVLAUFkM510Ejz5JHz8MRx6KHzxRdwViYjUHAUEkS3Qqxe88AIsXAiHHAJz5sRdkYhIzVBAENlCBx8MU6fCDz+EkPD++3FXJCKy5RQQRGrAvvuGO0HWqgWHHQZvvRV3RSIiW0YBQaSGdOoEL78MjRpBz57w0ktxVyQisvkUEERq0E47hZDQpg307h3uCikiko8UEERqWOvW4XLD7rvDCSfAxIlxVyQiUn0KCCIZ0KJF6LjYrRucdlq4d4OISD5RQBDJkEaN4Pnn4Ygj4Be/gNtvj7siEZH0KSCIZNA224T7Npx0EgwZAj//ObRvDz17HkaHDjBuXNwVioikprs5imTY1lvD+PFhSuYJExKtxrx5MGBAeFVSElNxIiIV0BkEkSyoUyf1VMwrV8LQodmvR0SkKgoIIllS0b0a5s/Pbh0iIunIWEAws9FmttjM3k9qa2pmk83sk+ixSdK6K81sjpn928x6J7V3MbNZ0brbzMyi9q3N7JGofbqZdUjap1/0Hp+YWb9MfUaR6mjXLnV7w4awfn12axERqUomzyDcDxxVpu0K4EV37wi8GL3GzDoBfYHO0T53mVntaJ+7gQFAx2hJHLM/sMzddwFuBq6PjtUUGAbsB3QDhiUHEZG4jBgBDRps2la7Nnz3XZie+fPP46lLRCSVjAUEd38JWFqmuQ8wJno+Bjgxqf1hd1/j7p8Dc4BuZtYKaOjur7m7A2PL7JM41kTg8OjsQm9gsrsvdfdlwGTKBxWRrCspgZEjwygGM6d9exgzJoxkmDUL9torvHaPu1IRkez3QWjp7gsBosfto/bWQPIV2gVRW+voedn2TfZx93XAd0CzSo4lEruSEpg7F6ZMmcbcueH1GWfAe+/BPvvAOeeEoZDffBNzoSJS9HJlmKOlaPNK2jd3n03f1GwA4fIFLVu2pLS0tMpCq2PFihU1fsxMU83Zkarmq66C8ePbMnr0jpSWruXyyz+ia9dl8RSYQqF8z7lONWdHPtYMWa7b3TO2AB2A95Ne/xtoFT1vBfw7en4lcGXSds8DB0TbfJTUfjpwT/I20fM6wNeEcPC/baJ19wCnV1Vrly5dvKZNnTq1xo+Zaao5OyqrecYM9912cwf3iy92X7Uqe3VVptC+51ylmrMjH2t2r/m6gbe8gt/FbF9imAQkRhX0A55Iau8bjUzYkdAZ8Q0PlyGWm9n+Uf+Cs8vskzjWKcCU6MM+D/QysyZR58ReUZtIXth3X5gxAwYNgltugZ/+NFyCEBHJpkwOc3wIeA3Y1cwWmFl/4DrgSDP7BDgyeo27fwCMB2YDzwED3T0x8OsCYBSh4+KnwLNR+31AMzObA/yaaESEuy8FhgNvRss1UZtI3mjQINy74ZlnYMmSEBJuugk2bIi7MhEpFhnrg+Dup1ew6vAKth8BjEjR/hawR4r21cCpFRxrNDA67WJFctTRR4cRDuedB5deCk8/HUY6tGkTd2UiUug0k6JIjmvRAh57DEaNgunTYc89w70dREQySQFBJA+YQf/+8M478OMfw2mnwdlnh0mWREQyQQFBJI907AivvALDhoUJlvbaC15+Oe6qRKQQKSCI5Jm6deHqq0NQqF073EZ66FD473/jrkxECokCgkieOuAAmDkTfvELuPZaOPBA+OijuKsSkUKhgCCSx7bbLnRe/Mc/whTO++4Ld9+t+zmIyJZTQBApACedFIZDHnooXHghHHccLFoUd1Uiks8UEEQKRKtW8OyzcNttMGVKGA45aVLcVYlIvlJAECkgZjB4MLz1FrRuDX36wPnnww8/xF2ZiOQbBQSRAtS5M7z+Ovz2t3DvveFW0m+8EXdVIpJPFBBECtTWW8P114fLDatXh1EOw4fDunVxVyYi+UABQaTAde8e7gb585/DVVeFjoyffRZ3VSKS6xQQRIpA48bw4INh9sXZs8MMjPffr+GQIlIxBQSRInLGGfDuu9ClS5hg6dRT4Ztv4q5KRHKRAoJIkWnfHl58MfRPmDQpDId84YW4qxKRXKOAIFKEatcOIxymTw+XH3r3hosvhlWr4q5MRHKFAoJIEdtnH5gxI8ydcOut8NOfhksQIiIKCCJFrn79MPvis8+G/gjdusFf/gIbNsRdmYjESQFBRAA46qgwHPKYY+Cyy+CII+CLL+KuSkTiooAgIv/TokW4M+SoUWHmxZ/8BAYNgg4doGfPw+jQIQyVFJHCp4AgIpswg/79YeZMaNYM7rwT5s0Dd2PePBgwQCFBpBgoIIhISrvsAmvXlm9fuRKGDs1+PSKSXQoIIlKhivogzJsHTz8N69dntx4RyR4FBBGpULt2qdtr1YLjjgtnGa6/HpYsyW5dIpJ5CggiUqERI6BBg03bGjSA0aPhkUdC58UrroA2beDMM+Ff/9L9HUQKhQKCiFSopARGjgzTM5s57duH1/36hbtDTp0KH3wQOi5OmgQHHRQmXxo5ElasiLt6EdkSCggiUqmSEpg7F6ZMmcbcueF1sk6d4Pbb4auv4K9/DWcQzj8fWreGIUPgww/jqFpEtpQCgojUiG23DcFg5kx49VU4/ni4554QIHr2hAkTUo+KEJHcpIAgIjXKDA48EB54ABYsgOuug88+C5ck2reHYcNCu4jkNgUEEcmYFi3g8svh00/hqadC/4Thw0PnxpNPhn/+U50aRXKVAoKIZFzt2nDssWHuhDlz4NJLYdo0OPJI2G03uOUWWLYs7ipFJJkCgohk1U47hbkTFiyAsWPDdM6XXBI6NZ57Lrz9dtwViggoIIhITOrVg7POCnMnvP12mEfhoYegSxfYf38YMwZWrYq7SpHipYAgIrFLzJ3w5Zdw663w3XdwzjlhAqbLLgt9GEQkuxQQRCRnNG4c5k6YPRumTAnDI2++OUzpfPTR8OSTuv+DSLYoIIhIzjGDHj3C3Anz58PVV8N778EJJ4Q+DNdeC4sWxV2lSGFTQBCRnLbDDmHuhLlz4dFHoWPHcLvptm3hjDPglVc0VFIkExQQRCQv1K0LP/tZmDvhww/hwgvhmWfgkENgr73g7rth+fKw7bhxYa6Fnj0Po0OH8FpEqkcBQUTyTmLuhC+/hHvvhTp1QmDYYYcwt8K558K8eeBuzJsXbialkCBSPQoIIpK3ttkmhIEZM+D11zeeYVi9etPtVq4MlyVEJH114i5ARGRLmcF++4Xl739P3Sdh3rxwP4g99oA99wzLTjtBLf2ZJJKSAoKIFJR27UIYKKt+/XCmYcKEjW0NGkDnzpuGhj33hJYts1evSK5SQBCRgjJiROhzsHLlxrYGDcJETCUlsGJFmGdh1qyNy9NPw9/+tnH7Fi3Kh4bOncMtrUWKhQKCiBSUkpLwOHQozJ/vtGtnjBixsX3bbaFbt7AkW7x409Dw/vswatSmQWPHHTcNDXvsAT/+cRhhIVJoFBBEpOCUlISltHQa3bt3T2uf7beHww8PS8KGDfD55xsDQ/IZh8SMjlttFUZVJIeGPfcM8zSY1fxnE8kWBQQRkQrUqgU77xyWE0/c2L56NXz00aahYdq0TYdSNmq0MSwkX65o0iT1e40blzjrcRjt2rHJWQ+ROMQSEMxsLrAcWA+sc/euZtYUeAToAMwFfu7uy6LtrwT6R9sPcffno/YuwP1AfeAZ4CJ3dzPbGhgLdAG+AU5z97lZ+ngiUuDq1YO99w5LsmXL4IMPNr1U8dBD4eZTCa1blw8N774LAwcmLmdsnLsBFBIkPnGeQejh7l8nvb4CeNHdrzOzK6LXl5tZJ6Av0BnYAfinmf3Y3dcDdwMDgNcJAeEo4FlCmFjm7ruYWV/geuC0bH0wESlOTZrAwQeHJcE9TOiUHBpmzQo3o/rvfys+1sqV8LvfKSBIfHLpEkMfoHv0fAxQClwetT/s7muAz81sDtAtOgvR0N1fAzCzscCJhIDQB7g6OtZE4A4zM3fN2C4i2WUWblvdpk24I2XCunXwySchLJxWwZ8v8+dDp06w++7hMbHsums4iyGSSRbHb6aZfQ4sAxy4x91Hmtm37t44aZtl7t7EzO4AXnf3B6L2+wghYC5wnbsfEbUfAlzu7seZ2fvAUe6+IFr3KbBfmTMWmNkAwhkIWrZs2eXhhx+u0c+5YsUKts2zcVGqOTtUc3bkS819++7PokXlf/EbNFjHvvsuY968bfjyy/ps2BB6Pdaq5bRqtYr27VdGyw906LCSdu1WUr9+9u+HnS/fc7J8rBlqvu4ePXrMcPeuqdbFdQbhIHf/ysy2Byab2UeVbJuqH7BX0l7ZPps2uI8ERgJ07drV0+3tnK7S0tK0e1DnCtWcHao5O/Kl5htvrGjuhjqUlLQAYM0a+PjjcKOq2bON2bMbMHt2AyZOhLVrN+7Xvn35Mw677w6NG2eu/nz5npPlY82Q3bpjCQju/lX0uNjMHgO6AYvMrJW7LzSzVsDiaPMFQNuk3dsAX0XtbVK0J++zwMzqAI2ApZn6PCIiW6KquRsAtt56Y6fGZGvXwmefhcmfkpfS0k3vSbHDDuWDQ6dO0Lx5xj+e5KmsBwQz2wao5e7Lo+e9gGuASUA/4Lro8Ylol0nAg2Z2E6GTYkfgDXdfb2bLzWx/YDpwNnB70j79gNeAU4Ap6n8gIrlsc+ZugDBJ0667huWkkza2r18fppwuGxz+9rcwm2RCixapg8OPfqR5HIpdHGcQWgKPWfgvrw7woLs/Z2ZvAuPNrD8wHzgVwN0/MLPxwGxgHTAwGsEAcAEbhzk+Gy0A9wF/jzo0LiWMghARKRq1a4ebUe20Exx33MZ2d1iwoHxwePhh+Pbbjds1bpw6OCRPAKW5Gwpb1gOCu38G7JWi/Rvg8PJ7gLuPAEakaH8L2CNF+2qigCEiIhuZhR/5tm2hd++N7e6waFH54PDkk3DffRu323bbMHNkvXowfXqi/4PmbihEuTTMUUREYmIWLiv86EfQs+em677+OtE5MiwffhjmcVhfZsDEypXQrx/ccEO4dFHV0qSJbredyxQQRESkUs2bwyGHhCWhoh/29evDLbeXLAn3sViyBL7/PvW2tWtDs2abhobtt684UDRrFvbZEroskj4FBBERqbZ27UInyLLat4dJkzZtW7MmnIVYsqTy5d13w+OyZanf0wyaNk3v7ESLFiHYbLXVxv3HjUseTqrLIlVRQBARkWobMSL13A0jyvUWC0M0W7cOSzrWroVvvqk6UHz0Ebz8cth2w4bUx2rUaGNgmDkTVq3adP3KlfCb34SzIy1aQP366dVYDBQQRESk2tKZu2Fz1a27sT9EOtavD2cdEsFh8eLUgaJsOEj4z3/CmQ8IIaeisxGp2ho1KtzhoAoIIiKyWTZ37oaaVrt2+LFu3jwMzaxIhw6pL4u0aAHXXrsxSCQuhyxeHO7OWVm4qFt30/BQUZDY0n4UcfSdUEAQEZGiUNFlkZtvrvrHduXK8mckUvWrePvt8Jg8p0Sy5H4UVYWJxDJxYjx9JxQQRESkKGzJZZEGDcJliMSliKqsXRsCRKoQkdz28cfw6quhH0XZYaMJZmGeimQrV4bPoYAgIiJSA7J1WaRuXWjVKizp2LAhnHVIFSKGDk29z/z5NVZuSgoIIiIiMatVK1x6aNo03Fcj2ciRqftOtGuX4Zoye3gRERHZEiNGhEscySoaUlqTFBBERERyWElJOIvQvj2YOe3bh9eZHsWggCAiIpLjSkpg7lyYMmUac+dmZ+ZHBQQREREpRwFBREREylFAEBERkXIUEERERKQcBQQREREpRwFBREREylFAEBERkXIUEERERKQcBQQREREpRwFBREREyjEve5PpImVmS4AU98vaIs2Br2v4mJmmmrNDNWeHas4O1Zw9NV13e3dvkWqFAkIGmdlb7t417jqqQzVnh2rODtWcHao5e7JZty4xiIiISDkKCCIiIlKOAkJmjYy7gM2gmrNDNWeHas4O1Zw9WatbfRBERESkHJ1BEBERkXIUEDLAzEab2WIzez/uWtJhZm3NbKqZfWhmH5jZRXHXVBUzq2dmb5jZu1HNf4i7pnSZWW0ze8fMnoq7lnSZ2Vwzm2VmM83srbjrSYeZNTaziWb2UfTf9gFx11QZM9s1+n4Ty/dmdnHcdVXFzC6J/j/4vpk9ZGb14q6pKmZ2UVTvB7n6Haf6HTGzpmY22cw+iR6bZLIGBYTMuB84Ku4iqmEdcKm77w7sDww0s04x11SVNUBPd98L2Bs4ysz2j7ektF0EfBh3EZuhh7vvnUdDw24FnnP33YC9yPHv3N3/HX2/ewNdgJXAY/FWVTkzaw0MAbq6+x5AbaBvvFVVzsz2AM4DuhH+uzjOzDrGW1VK91P+d+QK4EV37wi8GL3OGAWEDHD3l4ClcdeRLndf6O5vR8+XE/4hbR1vVZXzYEX0sm605HyHGjNrAxwLjIq7lkJmZg2BQ4H7ANz9v+7+baxFVc/hwKfuXtOTt2VCHaC+mdUBGgBfxVxPVXYHXnf3le6+DpgGnBRzTeVU8DvSBxgTPR8DnJjJGhQQZBNm1gHYB5gecylVik7VzwQWA5PdPedrBm4BfgtsiLmO6nLgBTObYWYD4i4mDTsBS4C/RZdzRpnZNnEXVQ19gYfiLqIq7v4l8BdgPrAQ+M7dX4i3qiq9DxxqZs3MrAFwDNA25prS1dLdF0L4ww7YPpNvpoAg/2Nm2wKPAhe7+/dx11MVd18fnY5tA3SLTh3mLDM7Dljs7jPirmUzHOTu+wJHEy5BHRp3QVWoA+wL3O3u+wA/kOHTsTXFzLYCTgAmxF1LVaJr4H2AHYEdgG3M7Mx4q6qcu38IXA9MBp4D3iVcZpUyFBAEADOrSwgH49z9H3HXUx3RqeNScr/fx0HACWY2F3gY6GlmD8RbUnrc/avocTHhuni3eCuq0gJgQdJZpYmEwJAPjgbedvdFcReShiOAz919ibuvBf4BHBhzTVVy9/vcfV93P5RwGv+TuGtK0yIzawUQPS7O5JspIAhmZoRrtR+6+01x15MOM2thZo2j5/UJ/1B9FGtRVXD3K929jbt3IJxCnuLuOf3XFoCZbWNm2yWeA70Ip2lzlrv/B/jCzHaNmg4HZsdYUnWcTh5cXojMB/Y3swbRvyOHk+OdQQHMbPvosR3wM/Ln+54E9Iue9wOeyOSb1cnkwYuVmT0EdAeam9kCYJi73xdvVZU6CDgLmBVd0wf4nbs/E19JVWoFjDGz2oSgO97d82bYYJ5pCTwW/v2nDvCguz8Xb0lpGQyMi07Zfwb8IuZ6qhRdEz8SOD/uWtLh7tPNbCLwNuE0/TvkxwyFj5pZM2AtMNDdl8VdUFmpfkeA64DxZtafEM5OzWgNmklRREREytIlBhERESlHAUFERETKUUAQERGRchQQREREpBwFBBERESlHAUFERETKUUAQKQBm5mZ2Y9Lr35jZ1Vl8/63N7J/RbYpPS7H+N9Ftl9+PbtF9dtReambVvjukme1tZsfURO0VHH+ime0UPV+RYn0LM8uHuSBENpsCgkhhWAP8zMyax/T++wB1o9sVP5K8wsx+RZj8p1t0S+BDAdvC99ubcJOdtEV3G0xnu85AbXf/rKJt3H0JsNDMDqpODSL5RAFBpDCsI8xgd0nZFWZ2v5mdkvR6RfTY3cymmdl4M/vYzK4zsxIze8PMZpnZzimO1dTMHjez98zsdTP7STRt7QPA3tEZhLL7/Q64MHEDMHf/zt3HpDj2iqTnp5jZ/dHzU5POPLwUzYx4DXBa4oxFNB30aDN7M7p7Y59o33PMbIKZPUm4G2Wr6Bgzo2MekuK7LCHFFLZm1tzMXjOzY6Omx6NtRQqSAoJI4bgTKDGzRtXYZy/gImBPwnTbP3b3bsAowlTFZf0BeMfdf0L44R8b3cDpXODl6AzCp4mNo3s4bJfcthmuAnq7+17ACe7+36jtkaQzFkMJ97b4KdADuCHp9s4HAP3cvSdwBvB8dBfQvYCZKd7vIGCTO26aWUvgaeAqd386an4LSBUwRAqC7sUgUiDc/XszGwsMAValudubifvLm9mnwAtR+yzCD21ZBwMnR+83xcyaVRFIDNjS+dxfBe43s/GEuwWm0otwp8zfRK/rAe2i55PdfWn0/E1gdHT30sfdfWaKY7UCliS9rgu8SJizf1pS+2LCLY5FCpLOIIgUlluA/sA2SW3riP6/Ht1xb6ukdWuSnm9Ier2B1H9ApOo7UGEAiC4r/JDo8FeF5OPUSzrGr4DfA22BmdFNdlLVdXJ0RmFvd2/n7om7Cv6QdKyXCH0gvgT+nugsWcaq5PcnfH8zgN5ltqtH+kFMJO8oIIgUkOgv5fGEkJAwF+gSPe9D+It4c71EdN3dzLoDXyf6FlTiT8CdZtYw2q+hmQ1Isd0iM9vdzGoBJyUazWxnd5/u7lcBXxOCwnJgu6R9nwcGRwEIM9snVSFm1h5Y7O73Em5xvm+KzT4Edkl67cAvgd3M7Iqk9h+T47e9FtkSCggihedGIHk0w73AYWb2BrAfSX9Rb4arga5m9h7h1rP9Kt8cgLuBqcCbZvY+MA1YmWK7K4CngCnAwqT2G6JOk+8TAsq70fE6JQ2rHE4IPu9F2w2voJbuhLMQ7xAuldyaYpuno+3+x93XA32BHmZ2YdTcI9pWpCDpds8iIknMrD4hgBwUBYOKtnsJ6OPuy7JWnEgWKSCIiJRhZr2BD919fgXrWxACxONZLUwkixQQREREpBz1QRAREZFyFBBERESkHAUEERERKUcBQURERMpRQBAREZFy/h/CGZ93sPMzigAAAABJRU5ErkJggg==\n",
|
|
"text/plain": [
|
|
"<Figure size 576x432 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Select the relevant columns for clustering (excluding 'CustomerID' and 'Genre')\n",
|
|
"X = df[['Age', 'Annual Income (k$)', 'Spending Score (1-100)']]\n",
|
|
"\n",
|
|
"# List to store the sum of squared distances (inertia)\n",
|
|
"inertia = []\n",
|
|
"\n",
|
|
"# Run K-Means for cluster sizes from 1 to 10\n",
|
|
"for k in range(1, 11):\n",
|
|
" kmeans = KMeans(n_clusters=k, random_state=0).fit(X)\n",
|
|
" inertia.append(kmeans.inertia_)\n",
|
|
"\n",
|
|
"# Plot the Elbow Method graph\n",
|
|
"plt.figure(figsize=(8, 6))\n",
|
|
"plt.plot(range(1, 11), inertia, marker='o', linestyle='-', color='b')\n",
|
|
"plt.title('Elbow Method for Optimal k')\n",
|
|
"plt.xlabel('Num of Clusters (k)')\n",
|
|
"plt.ylabel('Inertia')\n",
|
|
"plt.xticks(range(1, 11)) # Ensure all k-values are shown\n",
|
|
"plt.grid(True)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "2956487c",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Running the Kmeans Clustering"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"id": "d66f2362",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 1080x360 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Apply KMeans clustering with chosen amount of clusters\n",
|
|
"clust = 4\n",
|
|
"kmeans = KMeans(n_clusters=clust, random_state=0)\n",
|
|
"kmeans.fit(X)\n",
|
|
"\n",
|
|
"# Get cluster labels and centers\n",
|
|
"labels = kmeans.labels_\n",
|
|
"\n",
|
|
"# Add the cluster labels to the original dataframe\n",
|
|
"df['Cluster'] = labels\n",
|
|
"\n",
|
|
"# Create a 3x1 grid for scatter plots\n",
|
|
"fig, axs = plt.subplots(1, 3, figsize=(15, 5))\n",
|
|
"\n",
|
|
"# Scatter plot for Age vs Annual Income\n",
|
|
"axs[0].scatter(df['Age'], df['Annual Income (k$)'], c=labels, s=50, cmap='viridis', edgecolor='black')\n",
|
|
"axs[0].set_title('Age vs Annual Income')\n",
|
|
"axs[0].set_xlabel('Age')\n",
|
|
"axs[0].set_ylabel('Annual Income (k$)')\n",
|
|
"\n",
|
|
"# Scatter plot for Age vs Spending Score\n",
|
|
"axs[1].scatter(df['Age'], df['Spending Score (1-100)'], c=labels, s=50, cmap='viridis', edgecolor='black')\n",
|
|
"axs[1].set_title('Age vs Spending Score')\n",
|
|
"axs[1].set_xlabel('Age')\n",
|
|
"axs[1].set_ylabel('Spending Score (1-100)')\n",
|
|
"\n",
|
|
"# Scatter plot for Annual Income vs Spending Score\n",
|
|
"axs[2].scatter(df['Annual Income (k$)'], df['Spending Score (1-100)'], c=labels, s=50, cmap='viridis', edgecolor='black')\n",
|
|
"axs[2].set_title('Annual Income vs Spending Score')\n",
|
|
"axs[2].set_xlabel('Annual Income (k$)')\n",
|
|
"axs[2].set_ylabel('Spending Score (1-100)')\n",
|
|
"\n",
|
|
"# Adjust layout\n",
|
|
"plt.subplots_adjust(wspace=0.3)\n",
|
|
"\n",
|
|
"# Show the plots\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "9a1b1ab3",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Checking & Interpretation"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"id": "fd9c39b4",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Silhouette Score: 0.40546302077733304\n",
|
|
"Davies-Bouldin Index: 0.8914904209843165\n",
|
|
"Calinski-Harabasz Index: 127.9838294818919\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"from sklearn.metrics import silhouette_score, davies_bouldin_score, calinski_harabasz_score\n",
|
|
"\n",
|
|
"# Assuming 'X' is your feature set and 'labels' is the array of cluster labels\n",
|
|
"silhouette_avg, db_index, ch_index = (\n",
|
|
" silhouette_score(X, labels), \n",
|
|
" davies_bouldin_score(X, labels), \n",
|
|
" calinski_harabasz_score(X, labels)\n",
|
|
")\n",
|
|
"\n",
|
|
"print(f'Silhouette Score: {silhouette_avg}')\n",
|
|
"print(f'Davies-Bouldin Index: {db_index}')\n",
|
|
"print(f'Calinski-Harabasz Index: {ch_index}')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "70dde4b0",
|
|
"metadata": {},
|
|
"source": [
|
|
"**Silhouette Score:**\n",
|
|
"- This indicates that, on average, the samples are reasonably well-clustered, but there might still be some overlap between clusters.\n",
|
|
"\n",
|
|
"**Davies-Bouldin Index:**\n",
|
|
"- The index is relatively low, suggesting that the clusters are distinct from each other. \n",
|
|
"\n",
|
|
"**Calinski-Harabasz Index:**\n",
|
|
"- The clusters are well-separated and compact. It indicates a good clustering structure, where the clusters are distinct from each other while remaining tightly packed."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "c6a1cd6f",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.9.12"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
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}
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