Merge branch 'master' of acetyl.net:/home/git/hh

4 files changed, 1493 insertions, 338 deletions

diff --git a/Clustering.ipynb b/Clustering.ipynb
index e658dcf..a84f8e7 100644
--- a/Clustering.ipynb
+++ b/Clustering.ipynb
@@ -2,31 +2,26 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 78,
+   "execution_count": 1,
    "id": "initial_id",
    "metadata": {
     "collapsed": true,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:10.536728Z",
-     "start_time": "2023-11-06T01:14:10.525881Z"
+     "end_time": "2023-11-06T17:13:47.429577Z",
+     "start_time": "2023-11-06T17:13:46.508767Z"
     }
    },
    "outputs": [],
    "source": [
     "import folium\n",
-    "import matplotlib.pyplot as plt\n",
-    "import numpy as np\n",
     "import pandas as pd\n",
-    "from scipy.cluster.hierarchy import dendrogram, linkage\n",
-    "from scipy.cluster.hierarchy import fcluster\n",
-    "from sklearn.metrics import silhouette_score\n",
     "from sklearn.cluster import KMeans\n",
     "import utils"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 79,
+   "execution_count": 2,
    "outputs": [],
    "source": [
     "# Load the data\n",
@@ -38,15 +33,34 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:10.821794Z",
-     "start_time": "2023-11-06T01:14:10.808507Z"
+     "end_time": "2023-11-06T17:13:47.436966Z",
+     "start_time": "2023-11-06T17:13:47.428637Z"
     }
    },
    "id": "bb6f57eef695cf76"
   },
   {
    "cell_type": "code",
-   "execution_count": 80,
+   "execution_count": 3,
+   "outputs": [],
+   "source": [
+    "# Create two centroids, one in the North End and one in the Financial District\n",
+    "centroids = [[42.364506, -71.054733], [42.358894, -71.056742]]\n",
+    "\n",
+    "northeastern_coordinate = \"-71.09033,42.33976;\""
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T17:13:47.446315Z",
+     "start_time": "2023-11-06T17:13:47.437257Z"
+    }
+   },
+   "id": "fe8a5b9bc06cf2e0"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
    "outputs": [
     {
      "data": {
@@ -70,15 +84,15 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:11.326041Z",
-     "start_time": "2023-11-06T01:14:11.322857Z"
+     "end_time": "2023-11-06T17:13:47.449096Z",
+     "start_time": "2023-11-06T17:13:47.439983Z"
     }
    },
    "id": "dc434958d5e4a3a8"
   },
   {
    "cell_type": "code",
-   "execution_count": 81,
+   "execution_count": 5,
    "outputs": [],
    "source": [
     "# Remove all columns but name and gps\n",
@@ -87,15 +101,15 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:12.014736Z",
-     "start_time": "2023-11-06T01:14:12.007694Z"
+     "end_time": "2023-11-06T17:13:47.455551Z",
+     "start_time": "2023-11-06T17:13:47.449946Z"
     }
    },
    "id": "2873c16423fe3119"
   },
   {
    "cell_type": "code",
-   "execution_count": 82,
+   "execution_count": 6,
    "outputs": [],
    "source": [
     "# Convert the gps column to a list of lists for k-means\n",
@@ -105,117 +119,53 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:12.457221Z",
-     "start_time": "2023-11-06T01:14:12.448967Z"
+     "end_time": "2023-11-06T17:13:47.455655Z",
+     "start_time": "2023-11-06T17:13:47.452798Z"
     }
    },
    "id": "29f9155ef8d75fda"
   },
   {
    "cell_type": "code",
-   "execution_count": 83,
-   "outputs": [
-    {
-     "data": {
-      "text/plain": "                          name                        gps list\n0   521 Commercial Street #525  [42.3688272, -71.0553792]    A\n1                     Acorn St  [42.3576234, -71.0688746]    A\n2    Arlington's Great Meadows  [42.4299758, -71.2038948]    A\n3        Arthur Fiedler Statue  [42.3565057, -71.0754527]    A\n4                     BU Beach  [42.3511927, -71.1060828]    A\n..                         ...                        ...  ...\n28                The Clam Box  [42.2763168, -71.0092883]    C\n29               The Partisans  [42.3478375, -71.0404428]    C\n30          Union Oyster House    [42.361288, -71.056908]    C\n31            Victoria's Diner  [42.3270498, -71.0667744]    C\n32             Wollaston Beach  [42.2806539, -71.0119933]    C\n\n[131 rows x 3 columns]",
-      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>name</th>\n      <th>gps</th>\n      <th>list</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>521 Commercial Street #525</td>\n      <td>[42.3688272, -71.0553792]</td>\n      <td>A</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>Acorn St</td>\n      <td>[42.3576234, -71.0688746]</td>\n      <td>A</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>Arlington's Great Meadows</td>\n      <td>[42.4299758, -71.2038948]</td>\n      <td>A</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>Arthur Fiedler Statue</td>\n      <td>[42.3565057, -71.0754527]</td>\n      <td>A</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>BU Beach</td>\n      <td>[42.3511927, -71.1060828]</td>\n      <td>A</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>28</th>\n      <td>The Clam Box</td>\n      <td>[42.2763168, -71.0092883]</td>\n      <td>C</td>\n    </tr>\n    <tr>\n      <th>29</th>\n      <td>The Partisans</td>\n      <td>[42.3478375, -71.0404428]</td>\n      <td>C</td>\n    </tr>\n    <tr>\n      <th>30</th>\n      <td>Union Oyster House</td>\n      <td>[42.361288, -71.056908]</td>\n      <td>C</td>\n    </tr>\n    <tr>\n      <th>31</th>\n      <td>Victoria's Diner</td>\n      <td>[42.3270498, -71.0667744]</td>\n      <td>C</td>\n    </tr>\n    <tr>\n      <th>32</th>\n      <td>Wollaston Beach</td>\n      <td>[42.2806539, -71.0119933]</td>\n      <td>C</td>\n    </tr>\n  </tbody>\n</table>\n<p>131 rows × 3 columns</p>\n</div>"
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "execution_count": 7,
+   "outputs": [],
    "source": [
-    "display(TotalList)"
+    "# Create a new column with normalized gps coordinates and centroids\n",
+    "TotalList['normalized_gps'], norm_centroids = utils.normalize_gps(TotalList['gps'].values.tolist(), centroids)"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:13.043659Z",
-     "start_time": "2023-11-06T01:14:13.030154Z"
+     "end_time": "2023-11-06T17:13:47.472084Z",
+     "start_time": "2023-11-06T17:13:47.454865Z"
     }
    },
-   "id": "a03a7c5dacebddd0"
-  },
-  {
-   "cell_type": "markdown",
-   "source": [
-    "# Dendrogram"
-   ],
-   "metadata": {
-    "collapsed": false
-   },
-   "id": "72e85d219be8c635"
+   "id": "5b985f1a6df84a6c"
   },
   {
    "cell_type": "code",
-   "execution_count": 84,
+   "execution_count": 8,
    "outputs": [
     {
      "data": {
-      "text/plain": "<Figure size 2500x1000 with 1 Axes>",
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+      "text/plain": "                          name                        gps list  \\\n0   521 Commercial Street #525  [42.3688272, -71.0553792]    A   \n1                     Acorn St  [42.3576234, -71.0688746]    A   \n2    Arlington's Great Meadows  [42.4299758, -71.2038948]    A   \n3        Arthur Fiedler Statue  [42.3565057, -71.0754527]    A   \n4                     BU Beach  [42.3511927, -71.1060828]    A   \n..                         ...                        ...  ...   \n28                The Clam Box  [42.2763168, -71.0092883]    C   \n29               The Partisans  [42.3478375, -71.0404428]    C   \n30          Union Oyster House    [42.361288, -71.056908]    C   \n31            Victoria's Diner  [42.3270498, -71.0667744]    C   \n32             Wollaston Beach  [42.2806539, -71.0119933]    C   \n\n                               normalized_gps  \n0    [0.7251058917247415, 0.8141430878559053]  \n1     [0.6747391031099019, 0.778052752104061]  \n2                  [1.0, 0.41697235794883575]  \n3    [0.6697144722136962, 0.7604611403245493]  \n4    [0.6458298305822171, 0.6785480000609988]  \n..                                        ...  \n28  [0.30922451563130937, 0.9374025730216268]  \n29   [0.6307464973238023, 0.8540870458656248]  \n30   [0.6912133469876947, 0.8100546647415456]  \n31   [0.5372951958288665, 0.7836692527743693]  \n32  [0.32872198960456106, 0.9301686741961767]  \n\n[131 rows x 4 columns]",
+      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>name</th>\n      <th>gps</th>\n      <th>list</th>\n      <th>normalized_gps</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>521 Commercial Street #525</td>\n      <td>[42.3688272, -71.0553792]</td>\n      <td>A</td>\n      <td>[0.7251058917247415, 0.8141430878559053]</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>Acorn St</td>\n      <td>[42.3576234, -71.0688746]</td>\n      <td>A</td>\n      <td>[0.6747391031099019, 0.778052752104061]</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>Arlington's Great Meadows</td>\n      <td>[42.4299758, -71.2038948]</td>\n      <td>A</td>\n      <td>[1.0, 0.41697235794883575]</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>Arthur Fiedler Statue</td>\n      <td>[42.3565057, -71.0754527]</td>\n      <td>A</td>\n      <td>[0.6697144722136962, 0.7604611403245493]</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>BU Beach</td>\n      <td>[42.3511927, -71.1060828]</td>\n      <td>A</td>\n      <td>[0.6458298305822171, 0.6785480000609988]</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>28</th>\n      <td>The Clam Box</td>\n      <td>[42.2763168, -71.0092883]</td>\n      <td>C</td>\n      <td>[0.30922451563130937, 0.9374025730216268]</td>\n    </tr>\n    <tr>\n      <th>29</th>\n      <td>The Partisans</td>\n      <td>[42.3478375, -71.0404428]</td>\n      <td>C</td>\n      <td>[0.6307464973238023, 0.8540870458656248]</td>\n    </tr>\n    <tr>\n      <th>30</th>\n      <td>Union Oyster House</td>\n      <td>[42.361288, -71.056908]</td>\n      <td>C</td>\n      <td>[0.6912133469876947, 0.8100546647415456]</td>\n    </tr>\n    <tr>\n      <th>31</th>\n      <td>Victoria's Diner</td>\n      <td>[42.3270498, -71.0667744]</td>\n      <td>C</td>\n      <td>[0.5372951958288665, 0.7836692527743693]</td>\n    </tr>\n    <tr>\n      <th>32</th>\n      <td>Wollaston Beach</td>\n      <td>[42.2806539, -71.0119933]</td>\n      <td>C</td>\n      <td>[0.32872198960456106, 0.9301686741961767]</td>\n    </tr>\n  </tbody>\n</table>\n<p>131 rows × 4 columns</p>\n</div>"
      },
      "metadata": {},
      "output_type": "display_data"
     }
    ],
    "source": [
-    "# Create the linkage matrix\n",
-    "linkage_matrix = linkage(TotalList['gps'].values.tolist(), 'ward')\n",
-    "\n",
-    "# Plot the dendrogram\n",
-    "plt.figure(figsize=(25, 10))\n",
-    "plt.title('Hierarchical Clustering Dendrogram')\n",
-    "plt.xlabel('sample index')\n",
-    "plt.ylabel('distance')\n",
-    "dendrogram(linkage_matrix, leaf_rotation=90., leaf_font_size=8.)\n",
-    "plt.show()"
-   ],
-   "metadata": {
-    "collapsed": false,
-    "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:14.540031Z",
-     "start_time": "2023-11-06T01:14:14.088884Z"
-    }
-   },
-   "id": "9e215df3a350e3cf"
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 85,
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Number of clusters: 7\n",
-      "Silhouette score: 0.42876627286716495\n"
-     ]
-    }
-   ],
-   "source": [
-    "# Set the threshold distance\n",
-    "threshold_distance = 0.15\n",
-    "\n",
-    "# Cut the dendrogram to get cluster labels\n",
-    "cluster_labels_hc = fcluster(linkage_matrix, t=threshold_distance, criterion='distance')\n",
-    "\n",
-    "# Now, you have the number of clusters determined by the dendrogram\n",
-    "num_clusters = len(np.unique(cluster_labels_hc))\n",
-    "print(\"Number of clusters:\", num_clusters)\n",
-    "\n",
-    "# Calculate the silhouette score to evaluate the clustering\n",
-    "silhouette_avg = silhouette_score(TotalList['gps'].values.tolist(), cluster_labels_hc)\n",
-    "print(\"Silhouette score:\", silhouette_avg)"
+    "display(TotalList)"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:14.556841Z",
-     "start_time": "2023-11-06T01:14:14.545269Z"
+     "end_time": "2023-11-06T17:13:47.531619Z",
+     "start_time": "2023-11-06T17:13:47.459977Z"
     }
    },
-   "id": "2f52d83746e670d"
+   "id": "a03a7c5dacebddd0"
   },
   {
    "cell_type": "markdown",
@@ -229,64 +179,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 86,
-   "outputs": [],
-   "source": [
-    "# Cluster the data using Gaussian Mixture Models\n",
-    "# Create two centroids, one in the North End and one in the Financial District\n",
-    "centroids = [[42.364506, -71.054733], [42.358894, -71.056742]]"
-   ],
-   "metadata": {
-    "collapsed": false,
-    "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:15.329931Z",
-     "start_time": "2023-11-06T01:14:15.325838Z"
-    }
-   },
-   "id": "45b59d81ae2de84e"
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 87,
-   "outputs": [
-    {
-     "data": {
-      "text/plain": "                          name                        gps list   weights\n0   521 Commercial Street #525  [42.3688272, -71.0553792]    A  0.018132\n1                     Acorn St  [42.3576234, -71.0688746]    A  0.008032\n2    Arlington's Great Meadows  [42.4299758, -71.2038948]    A  0.000676\n3        Arthur Fiedler Statue  [42.3565057, -71.0754527]    A  0.005410\n4                     BU Beach  [42.3511927, -71.1060828]    A  0.002145\n..                         ...                        ...  ...       ...\n28                The Clam Box  [42.2763168, -71.0092883]    C  0.001136\n29               The Partisans  [42.3478375, -71.0404428]    C  0.005315\n30          Union Oyster House    [42.361288, -71.056908]    C  0.037200\n31            Victoria's Diner  [42.3270498, -71.0667744]    C  0.003055\n32             Wollaston Beach  [42.2806539, -71.0119933]    C  0.001198\n\n[131 rows x 4 columns]",
-      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>name</th>\n      <th>gps</th>\n      <th>list</th>\n      <th>weights</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>521 Commercial Street #525</td>\n      <td>[42.3688272, -71.0553792]</td>\n      <td>A</td>\n      <td>0.018132</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>Acorn St</td>\n      <td>[42.3576234, -71.0688746]</td>\n      <td>A</td>\n      <td>0.008032</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>Arlington's Great Meadows</td>\n      <td>[42.4299758, -71.2038948]</td>\n      <td>A</td>\n      <td>0.000676</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>Arthur Fiedler Statue</td>\n      <td>[42.3565057, -71.0754527]</td>\n      <td>A</td>\n      <td>0.005410</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>BU Beach</td>\n      <td>[42.3511927, -71.1060828]</td>\n      <td>A</td>\n      <td>0.002145</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>28</th>\n      <td>The Clam Box</td>\n      <td>[42.2763168, -71.0092883]</td>\n      <td>C</td>\n      <td>0.001136</td>\n    </tr>\n    <tr>\n      <th>29</th>\n      <td>The Partisans</td>\n      <td>[42.3478375, -71.0404428]</td>\n      <td>C</td>\n      <td>0.005315</td>\n    </tr>\n    <tr>\n      <th>30</th>\n      <td>Union Oyster House</td>\n      <td>[42.361288, -71.056908]</td>\n      <td>C</td>\n      <td>0.037200</td>\n    </tr>\n    <tr>\n      <th>31</th>\n      <td>Victoria's Diner</td>\n      <td>[42.3270498, -71.0667744]</td>\n      <td>C</td>\n      <td>0.003055</td>\n    </tr>\n    <tr>\n      <th>32</th>\n      <td>Wollaston Beach</td>\n      <td>[42.2806539, -71.0119933]</td>\n      <td>C</td>\n      <td>0.001198</td>\n    </tr>\n  </tbody>\n</table>\n<p>131 rows × 4 columns</p>\n</div>"
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "# Create a weights column that increases as the location gets closer to the centroids\n",
-    "\n",
-    "# Compute the distance from each point to each centroid\n",
-    "TotalList['weights'] = TotalList['gps'].apply(lambda x: [np.linalg.norm(np.array(x) - np.array(centroids[0])), np.linalg.norm(np.array(x) - np.array(centroids[1]))])\n",
-    "\n",
-    "# Invert the weights so that the locations closest to the centroids have the highest weights\n",
-    "TotalList['weights'] = TotalList['weights'].apply(lambda x: [1/i for i in x])\n",
-    "\n",
-    "# Sum the weights\n",
-    "TotalList['weights'] = TotalList['weights'].apply(lambda x: sum(x))\n",
-    "\n",
-    "# Normalize the weights\n",
-    "TotalList['weights'] = TotalList['weights'].apply(lambda x: x/sum(TotalList['weights']))\n",
-    "\n",
-    "display(TotalList)"
-   ],
-   "metadata": {
-    "collapsed": false,
-    "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:15.942150Z",
-     "start_time": "2023-11-06T01:14:15.938980Z"
-    }
-   },
-   "id": "2f2975484d00129c"
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 88,
+   "execution_count": 9,
    "outputs": [
     {
      "name": "stderr",
@@ -300,20 +193,20 @@
     }
    ],
    "source": [
-    "kmeans = KMeans(n_clusters=2, init=centroids).fit(TotalList['gps'].values.tolist())"
+    "kmeans = KMeans(n_clusters=2, init=norm_centroids).fit(TotalList['normalized_gps'].values.tolist())"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:16.878902Z",
-     "start_time": "2023-11-06T01:14:16.865126Z"
+     "end_time": "2023-11-06T17:13:47.552787Z",
+     "start_time": "2023-11-06T17:13:47.462389Z"
     }
    },
    "id": "db1ef4b14a1da5f5"
   },
   {
    "cell_type": "code",
-   "execution_count": 89,
+   "execution_count": 10,
    "outputs": [],
    "source": [
     "# Add the cluster labels to the dataframe\n",
@@ -322,20 +215,20 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:17.887765Z",
-     "start_time": "2023-11-06T01:14:17.880353Z"
+     "end_time": "2023-11-06T17:13:47.654801Z",
+     "start_time": "2023-11-06T17:13:47.534432Z"
     }
    },
    "id": "99891fae96a2fff7"
   },
   {
    "cell_type": "code",
-   "execution_count": 90,
+   "execution_count": 11,
    "outputs": [
     {
      "data": {
-      "text/plain": "                          name                        gps list   weights  \\\n0   521 Commercial Street #525  [42.3688272, -71.0553792]    A  0.018132   \n1                     Acorn St  [42.3576234, -71.0688746]    A  0.008032   \n2    Arlington's Great Meadows  [42.4299758, -71.2038948]    A  0.000676   \n3        Arthur Fiedler Statue  [42.3565057, -71.0754527]    A  0.005410   \n4                     BU Beach  [42.3511927, -71.1060828]    A  0.002145   \n..                         ...                        ...  ...       ...   \n28                The Clam Box  [42.2763168, -71.0092883]    C  0.001136   \n29               The Partisans  [42.3478375, -71.0404428]    C  0.005315   \n30          Union Oyster House    [42.361288, -71.056908]    C  0.037200   \n31            Victoria's Diner  [42.3270498, -71.0667744]    C  0.003055   \n32             Wollaston Beach  [42.2806539, -71.0119933]    C  0.001198   \n\n    cluster  \n0         1  \n1         1  \n2         0  \n3         1  \n4         0  \n..      ...  \n28        1  \n29        1  \n30        1  \n31        1  \n32        1  \n\n[131 rows x 5 columns]",
-      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>name</th>\n      <th>gps</th>\n      <th>list</th>\n      <th>weights</th>\n      <th>cluster</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>521 Commercial Street #525</td>\n      <td>[42.3688272, -71.0553792]</td>\n      <td>A</td>\n      <td>0.018132</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>Acorn St</td>\n      <td>[42.3576234, -71.0688746]</td>\n      <td>A</td>\n      <td>0.008032</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>Arlington's Great Meadows</td>\n      <td>[42.4299758, -71.2038948]</td>\n      <td>A</td>\n      <td>0.000676</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>Arthur Fiedler Statue</td>\n      <td>[42.3565057, -71.0754527]</td>\n      <td>A</td>\n      <td>0.005410</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>BU Beach</td>\n      <td>[42.3511927, -71.1060828]</td>\n      <td>A</td>\n      <td>0.002145</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>28</th>\n      <td>The Clam Box</td>\n      <td>[42.2763168, -71.0092883]</td>\n      <td>C</td>\n      <td>0.001136</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>29</th>\n      <td>The Partisans</td>\n      <td>[42.3478375, -71.0404428]</td>\n      <td>C</td>\n      <td>0.005315</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>30</th>\n      <td>Union Oyster House</td>\n      <td>[42.361288, -71.056908]</td>\n      <td>C</td>\n      <td>0.037200</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>31</th>\n      <td>Victoria's Diner</td>\n      <td>[42.3270498, -71.0667744]</td>\n      <td>C</td>\n      <td>0.003055</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>32</th>\n      <td>Wollaston Beach</td>\n      <td>[42.2806539, -71.0119933]</td>\n      <td>C</td>\n      <td>0.001198</td>\n      <td>1</td>\n    </tr>\n  </tbody>\n</table>\n<p>131 rows × 5 columns</p>\n</div>"
+      "text/plain": "                          name                        gps list  \\\n0   521 Commercial Street #525  [42.3688272, -71.0553792]    A   \n1                     Acorn St  [42.3576234, -71.0688746]    A   \n2    Arlington's Great Meadows  [42.4299758, -71.2038948]    A   \n3        Arthur Fiedler Statue  [42.3565057, -71.0754527]    A   \n4                     BU Beach  [42.3511927, -71.1060828]    A   \n..                         ...                        ...  ...   \n28                The Clam Box  [42.2763168, -71.0092883]    C   \n29               The Partisans  [42.3478375, -71.0404428]    C   \n30          Union Oyster House    [42.361288, -71.056908]    C   \n31            Victoria's Diner  [42.3270498, -71.0667744]    C   \n32             Wollaston Beach  [42.2806539, -71.0119933]    C   \n\n                               normalized_gps  cluster  \n0    [0.7251058917247415, 0.8141430878559053]        1  \n1     [0.6747391031099019, 0.778052752104061]        1  \n2                  [1.0, 0.41697235794883575]        0  \n3    [0.6697144722136962, 0.7604611403245493]        1  \n4    [0.6458298305822171, 0.6785480000609988]        0  \n..                                        ...      ...  \n28  [0.30922451563130937, 0.9374025730216268]        1  \n29   [0.6307464973238023, 0.8540870458656248]        1  \n30   [0.6912133469876947, 0.8100546647415456]        1  \n31   [0.5372951958288665, 0.7836692527743693]        1  \n32  [0.32872198960456106, 0.9301686741961767]        1  \n\n[131 rows x 5 columns]",
+      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>name</th>\n      <th>gps</th>\n      <th>list</th>\n      <th>normalized_gps</th>\n      <th>cluster</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>521 Commercial Street #525</td>\n      <td>[42.3688272, -71.0553792]</td>\n      <td>A</td>\n      <td>[0.7251058917247415, 0.8141430878559053]</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>Acorn St</td>\n      <td>[42.3576234, -71.0688746]</td>\n      <td>A</td>\n      <td>[0.6747391031099019, 0.778052752104061]</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>Arlington's Great Meadows</td>\n      <td>[42.4299758, -71.2038948]</td>\n      <td>A</td>\n      <td>[1.0, 0.41697235794883575]</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>Arthur Fiedler Statue</td>\n      <td>[42.3565057, -71.0754527]</td>\n      <td>A</td>\n      <td>[0.6697144722136962, 0.7604611403245493]</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>BU Beach</td>\n      <td>[42.3511927, -71.1060828]</td>\n      <td>A</td>\n      <td>[0.6458298305822171, 0.6785480000609988]</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>28</th>\n      <td>The Clam Box</td>\n      <td>[42.2763168, -71.0092883]</td>\n      <td>C</td>\n      <td>[0.30922451563130937, 0.9374025730216268]</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>29</th>\n      <td>The Partisans</td>\n      <td>[42.3478375, -71.0404428]</td>\n      <td>C</td>\n      <td>[0.6307464973238023, 0.8540870458656248]</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>30</th>\n      <td>Union Oyster House</td>\n      <td>[42.361288, -71.056908]</td>\n      <td>C</td>\n      <td>[0.6912133469876947, 0.8100546647415456]</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>31</th>\n      <td>Victoria's Diner</td>\n      <td>[42.3270498, -71.0667744]</td>\n      <td>C</td>\n      <td>[0.5372951958288665, 0.7836692527743693]</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>32</th>\n      <td>Wollaston Beach</td>\n      <td>[42.2806539, -71.0119933]</td>\n      <td>C</td>\n      <td>[0.32872198960456106, 0.9301686741961767]</td>\n      <td>1</td>\n    </tr>\n  </tbody>\n</table>\n<p>131 rows × 5 columns</p>\n</div>"
      },
      "metadata": {},
      "output_type": "display_data"
@@ -348,8 +241,8 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:19.060647Z",
-     "start_time": "2023-11-06T01:14:19.051699Z"
+     "end_time": "2023-11-06T17:13:47.690379Z",
+     "start_time": "2023-11-06T17:13:47.562147Z"
     }
    },
    "id": "49fc751352022ad1"
@@ -366,7 +259,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 91,
+   "execution_count": 12,
    "outputs": [],
    "source": [
     "# Create a map in Boston\n",
@@ -375,21 +268,21 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:20.184965Z",
-     "start_time": "2023-11-06T01:14:20.177057Z"
+     "end_time": "2023-11-06T17:13:47.690503Z",
+     "start_time": "2023-11-06T17:13:47.606732Z"
     }
    },
    "id": "48d76bd40c44cc61"
   },
   {
    "cell_type": "code",
-   "execution_count": 92,
+   "execution_count": 13,
    "outputs": [],
    "source": [
     "# Plot the centroids on the map\n",
     "for i in range(len(centroids)):\n",
     "    folium.Marker(centroids[i], popup='Centroid ' + str(i), icon=folium.Icon(color='black')).add_to(m)\n",
-    "    \n",
+    "\n",
     "# Add the points to the map with different colors for each cluster\n",
     "for i, row in TotalList.iterrows():\n",
     "    if row['cluster'] == 0:\n",
@@ -418,22 +311,22 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:20.573947Z",
-     "start_time": "2023-11-06T01:14:20.558985Z"
+     "end_time": "2023-11-06T17:13:47.690797Z",
+     "start_time": "2023-11-06T17:13:47.629116Z"
     }
    },
    "id": "3c8a7d2b34d4f22d"
   },
   {
    "cell_type": "code",
-   "execution_count": 93,
+   "execution_count": 14,
    "outputs": [
     {
      "data": {
-      "text/plain": "<folium.folium.Map at 0x14072dc10>",
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      },
-     "execution_count": 93,
+     "execution_count": 14,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -445,21 +338,21 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:23.580878Z",
-     "start_time": "2023-11-06T01:14:23.507152Z"
+     "end_time": "2023-11-06T17:13:47.812439Z",
+     "start_time": "2023-11-06T17:13:47.668506Z"
     }
    },
    "id": "d6941d1f0a203ee7"
   },
   {
    "cell_type": "code",
-   "execution_count": 94,
+   "execution_count": 15,
    "outputs": [
     {
      "data": {
-      "text/plain": "1    74\n0    57\nName: cluster, dtype: int64"
+      "text/plain": "1    83\n0    48\nName: cluster, dtype: int64"
      },
-     "execution_count": 94,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -471,191 +364,426 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:28.465028Z",
-     "start_time": "2023-11-06T01:14:28.461813Z"
+     "end_time": "2023-11-06T17:13:47.814584Z",
+     "start_time": "2023-11-06T17:13:47.761699Z"
     }
    },
    "id": "479ba8f36cdafbf8"
   },
   {
    "cell_type": "code",
-   "execution_count": 73,
+   "execution_count": 16,
    "outputs": [],
    "source": [
-    "# create a method to move n number of locations from the largest cluster to the smallest cluster, taking distance into account\n",
-    "def equalize_clusters(df, n):\n",
-    "    # Get the number of locations in each cluster\n",
-    "    cluster_counts = df['cluster'].value_counts()\n",
-    "    \n",
-    "    # Get the largest and smallest clusters\n",
-    "    largest_cluster = cluster_counts.index[0]\n",
-    "    smallest_cluster = cluster_counts.index[-1]\n",
-    "    \n",
-    "    # Get the locations in the largest cluster\n",
-    "    largest_cluster_locations = df[df['cluster'] == largest_cluster]\n",
-    "    \n",
-    "    # Get the locations in the smallest cluster\n",
-    "    smallest_cluster_locations = df[df['cluster'] == smallest_cluster]\n",
-    "    \n",
-    "    # Create a list of distances from each location in the largest cluster to each location in the smallest cluster\n",
-    "    distances = []\n",
-    "    for i, row in largest_cluster_locations.iterrows():\n",
-    "        for j, row2 in smallest_cluster_locations.iterrows():\n",
-    "            distances.append([i, j, np.linalg.norm(np.array(row['gps']) - np.array(row2['gps']))])\n",
-    "    \n",
-    "    # Sort the distances by distance\n",
-    "    distances.sort(key=lambda x: x[2])\n",
-    "    \n",
-    "    # Move the n closest locations from the largest cluster to the smallest cluster\n",
-    "    for i in range(n):\n",
-    "        df.loc[distances[i][0], 'cluster'] = smallest_cluster\n",
-    "        df.loc[distances[i][1], 'cluster'] = largest_cluster\n",
-    "    \n",
-    "    return df"
+    "# Return the list of locations in each cluster\n",
+    "route_1 = TotalList[TotalList['cluster'] == 0]\n",
+    "route_1_stops = len(route_1['gps'].values.tolist())\n",
+    "route_1_str = utils.list_to_string(route_1['gps'].values.tolist())"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T17:13:47.814649Z",
+     "start_time": "2023-11-06T17:13:47.767185Z"
+    }
+   },
+   "id": "89297f77828e8ed8"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "outputs": [],
+   "source": [
+    "route_2 = TotalList[TotalList['cluster'] == 1]\n",
+    "route_2_stops = len(route_2['gps'].values.tolist())\n",
+    "route_2_str = utils.list_to_string(route_2['gps'].values.tolist())"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:08:43.493687Z",
-     "start_time": "2023-11-06T01:08:43.480182Z"
+     "end_time": "2023-11-06T17:13:47.815014Z",
+     "start_time": "2023-11-06T17:13:47.770253Z"
     }
    },
-   "id": "4b79215a12bf36e2"
+   "id": "6ff82e29a0366d9e"
   },
   {
    "cell_type": "code",
-   "execution_count": 74,
+   "execution_count": 18,
    "outputs": [
     {
-     "data": {
-      "text/plain": "0    97\n1    72\nName: cluster, dtype: int64"
-     },
-     "execution_count": 74,
-     "metadata": {},
-     "output_type": "execute_result"
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The trip will take 9.129166666666666 hours\n",
+      "The trip will take 11.833055555555555 hours\n"
+     ]
     }
    ],
    "source": [
-    "# Equalize the clusters\n",
-    "TotalList = equalize_clusters(TotalList, 20)\n",
+    "# Get the time for each route\n",
+    "trip_hrs_1 = utils.get_trip_time(northeastern_coordinate + route_1_str, route_1_stops)\n",
+    "print(\"The trip will take {} hours\".format(trip_hrs_1))\n",
+    "trip_hrs_2 = utils.get_trip_time(northeastern_coordinate + route_2_str, route_2_stops)\n",
+    "print(\"The trip will take {} hours\".format(trip_hrs_2))"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T17:13:49.614158Z",
+     "start_time": "2023-11-06T17:13:47.772345Z"
+    }
+   },
+   "id": "7949bddd34b6731"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "outputs": [],
+   "source": [
+    "# Move a coordinate from one cluster to the other and see how the trip time changes\n",
+    "# Find the closest coordinate between the two clusters\n",
     "\n",
-    "# Display the number of locations in each cluster\n",
-    "TotalList['cluster'].value_counts()"
+    "closest_coordinate = utils.move_coordinate(route_2['gps'].values.tolist(), route_1['gps'].values.tolist())"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T17:13:49.620559Z",
+     "start_time": "2023-11-06T17:13:49.614687Z"
+    }
+   },
+   "id": "47ee7033f93c4d2b"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The closest coordinate is [42.3446263, -71.0969274]\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(\"The closest coordinate is {}\".format(closest_coordinate))"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T17:13:49.620803Z",
+     "start_time": "2023-11-06T17:13:49.617173Z"
+    }
+   },
+   "id": "f77340f4382a886f"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "outputs": [],
+   "source": [
+    "# Change the cluster of the closest coordinate array\n",
+    "TotalList.loc[TotalList['gps'].astype(str) == str(closest_coordinate), 'cluster'] = 0"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:08:43.649954Z",
-     "start_time": "2023-11-06T01:08:43.542655Z"
+     "end_time": "2023-11-06T17:13:49.623360Z",
+     "start_time": "2023-11-06T17:13:49.621229Z"
     }
    },
-   "id": "176d5f92130c67b8"
+   "id": "7d9f2216c1c0e80f"
   },
   {
    "cell_type": "code",
-   "execution_count": 75,
+   "execution_count": 22,
    "outputs": [
     {
      "data": {
-      "text/plain": "'-71.0553792,42.3688272;-71.0688746,42.3576234;-71.2038948,42.4299758;-71.0754527,42.3565057;-71.1060828,42.3511927;-71.0969274,42.3446263;-71.130887,42.35304;-71.0620802,42.3579151;-71.1459593,42.3501823;-71.0586014,42.357357;-71.0572023,42.3587627;-71.0556268,42.36521;-71.1460435,42.3495825;-71.1217152,42.3426377;-71.0720926,42.3489004;-71.067859,42.3500079;-71.0632036,42.3556154;-71.1258765,42.331864;-71.1095021,42.3364675;-71.133103,42.3890049;-71.0620134,42.3248471;-71.0851891,42.3500031;-71.1123834,42.3360385;-71.066414,42.354296;-71.2273649,42.3145041;-71.0834061,42.341987;-71.0992038,42.3306454;-71.0990577,42.3381442;-71.0569649,42.3604952;-71.0949218,42.3419564;-71.0942861,42.3413301;-71.0498714,42.3256817;-71.0908104,42.329969;-71.0616035,42.3537983;-71.0359433,42.3485465;-71.0913583,42.3490205;-71.1000217,42.3323776;-71.1241295,42.3518397;-71.1618052,42.3245965;-71.0638101,42.3587772;-71.1625829,42.340795;-71.167854,42.4107892;-71.155555,42.3317473;-71.1227278,42.3965778;-71.3598149,42.3140229;-71.1126695,42.3836229;-71.0555003,42.3640137;-71.119149,42.3884;-71.0712561,42.3407613;-71.0561781,42.3668968;-71.0664019,42.3554589;-71.059228,42.359349;-71.0668408,42.3524116;-71.0872846,42.2961434;-71.062146,42.366198;-71.1427371,42.3433772;-71.1438455,42.3569102;-71.0651214,42.3553972;-71.0596124,42.3509517;-71.0359354,42.3478381;-71.1313443,42.3525708;-71.1284677,42.3631904;-71.061757,42.3691906;-71.119301,42.388547;-71.097883,42.381008;-71.1107166,42.3741209;-71.0609962,42.3803747;-71.0516339,42.3609921;-71.1194344,42.3754427;-71.0809932,42.3675275;-71.0545357,42.3597994;-71.1013044,42.3627462;-71.1108423,42.3838224;-71.1026937,42.3820702;-71.1189467,42.373465;-71.1208817,42.3732344;-71.0342146,42.316274;-71.0756902,42.3695046;-71.0678704,42.3701829;-71.0968274,42.3799095;-71.0656594,42.3718401;-71.094048,42.339381;-71.1854722,42.3621177;-71.1146697,42.3782386;-71.0935443,42.3817274;-71.0611749,42.3551807;-71.0906355,42.3616095;-71.1161887,42.3766442;-71.0962734,42.3627993;-71.1155576,42.3784629;-71.0949101,42.3797674;-71.1087411,42.3640287;-71.0554239,42.3739796;-71.09476,42.37736;-71.1014951,42.3614115;-71.1024769,42.3822934;-71.1011111,42.3636597;-71.0631664,42.3741694;-71.056823,42.361531;-71.0632852,42.2857047;-71.0637877,42.2845163;-71.0496839,42.3519736;-71.0454645,42.3162356;-71.0336324,42.3441918;-71.0487437,42.3508756;-71.0512911,42.3521821;-71.0013637,42.2075316;-71.0607764,42.3763541;-71.0374911,42.316031;-71.0125206,42.3378699;-71.0672898,42.3523158;-71.02832,42.2576602;-71.0502126,42.3516479;-71.0331956,42.3639107;-71.0432778,42.3528151;-71.0035279,42.2392354;-71.0470633,42.3537343;-71.0352443,42.3291218;-71.0898829,42.3463992;-71.0240951,42.2743442;-71.0234949,42.3358743;-70.985881,42.420226;-71.0005483,42.2454086;-71.0096371,42.3367603;-71.0447796,42.3509709;-71.0983169,42.3319001;-71.0092883,42.2763168;-71.0404428,42.3478375;-71.056908,42.361288;-71.0667744,42.3270498;-71.0119933,42.2806539;-71.0618764,42.4074484;-71.0612182,42.3986053;-71.0392667,42.3855456;-71.0515875,42.4025721;-70.9903023,42.3917606;-71.055873,42.4206339;-71.0433886,42.4222989;-71.06088,42.3761612;-71.0412802,42.3936888;-71.0714924,42.3968978;-71.0282154,42.3778389;-71.0350852,42.3809511;-71.0331398,42.3734483;-70.9693867,42.3895122;-71.0945712,42.3253252;-71.0280157,42.398422;-71.0155516,42.4114215;-70.993656,42.4110462;-71.0355621,42.3976519;-71.0056995,42.390191;-71.0589219,42.403759;-71.037937,42.3698284;-71.0386285,42.3903823;-71.0316196,42.4122481;-71.0328839,42.3861321;-71.0270609,42.4213082;-71.0366491,42.391236;-71.0361399,42.3649623;-71.0116946,42.3827415;-70.9973058,42.4183123;-71.1122037,42.4008442;-70.997123,42.390501;-71.0506461,42.41826;-71.0359889,42.3670906;-71.0414523,42.3649544;-71.0371343,42.3711266;-71.033703,42.3891835;-70.9799864,42.3803348;'"
+      "text/plain": "1    82\n0    49\nName: cluster, dtype: int64"
      },
-     "execution_count": 75,
+     "execution_count": 22,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "utils.list_to_string(TotalList['gps'].values.tolist())"
+    "# Display the number of locations in each cluster\n",
+    "TotalList['cluster'].value_counts()"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:08:43.650401Z",
-     "start_time": "2023-11-06T01:08:43.622162Z"
+     "end_time": "2023-11-06T17:13:49.632625Z",
+     "start_time": "2023-11-06T17:13:49.624757Z"
     }
    },
-   "id": "2d83e5db093608d2"
+   "id": "175937590bf5d19"
   },
   {
    "cell_type": "code",
-   "execution_count": 95,
+   "execution_count": 23,
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "57\n"
+      "The trip will take 9.216666666666667 hours\n",
+      "The trip will take 11.710277777777778 hours\n"
      ]
-    },
+    }
+   ],
+   "source": [
+    "# Calculate the new trip time\n",
+    "new_route_1 = TotalList[TotalList['cluster'] == 0]\n",
+    "new_route_2 = TotalList[TotalList['cluster'] == 1]\n",
+    "new_route_1_stops = len(new_route_1['gps'].values.tolist())\n",
+    "new_route_1_str = utils.list_to_string(new_route_1['gps'].values.tolist())\n",
+    "new_route_2_stops = len(new_route_2['gps'].values.tolist())\n",
+    "new_route_2_str = utils.list_to_string(new_route_2['gps'].values.tolist())\n",
+    "\n",
+    "new_trip_hrs_1 = utils.get_trip_time(northeastern_coordinate + new_route_1_str, new_route_1_stops)\n",
+    "print(\"The trip will take {} hours\".format(new_trip_hrs_1))\n",
+    "new_trip_hrs_2 = utils.get_trip_time(northeastern_coordinate + new_route_2_str, new_route_2_stops)\n",
+    "print(\"The trip will take {} hours\".format(new_trip_hrs_2))"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T17:13:51.356749Z",
+     "start_time": "2023-11-06T17:13:49.629464Z"
+    }
+   },
+   "id": "1eddc12b846d259"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "outputs": [
     {
      "data": {
-      "text/plain": "'-71.2038948,42.4299758;-71.1060828,42.3511927;-71.0969274,42.3446263;-71.130887,42.35304;-71.1459593,42.3501823;-71.1460435,42.3495825;-71.1217152,42.3426377;-71.1258765,42.331864;-71.1095021,42.3364675;-71.133103,42.3890049;-71.1123834,42.3360385;-71.2273649,42.3145041;-71.0992038,42.3306454;-71.0990577,42.3381442;-71.0949218,42.3419564;-71.0942861,42.3413301;-71.0913583,42.3490205;-71.1000217,42.3323776;-71.1241295,42.3518397;-71.1618052,42.3245965;-71.1625829,42.340795;-71.167854,42.4107892;-71.155555,42.3317473;-71.1227278,42.3965778;-71.3598149,42.3140229;-71.1126695,42.3836229;-71.119149,42.3884;-71.1427371,42.3433772;-71.1438455,42.3569102;-71.1313443,42.3525708;-71.1284677,42.3631904;-71.119301,42.388547;-71.097883,42.381008;-71.1107166,42.3741209;-71.1194344,42.3754427;-71.1013044,42.3627462;-71.1108423,42.3838224;-71.1026937,42.3820702;-71.1189467,42.373465;-71.1208817,42.3732344;-71.0968274,42.3799095;-71.094048,42.339381;-71.1854722,42.3621177;-71.1146697,42.3782386;-71.0935443,42.3817274;-71.0906355,42.3616095;-71.1161887,42.3766442;-71.0962734,42.3627993;-71.1155576,42.3784629;-71.0949101,42.3797674;-71.1087411,42.3640287;-71.09476,42.37736;-71.1014951,42.3614115;-71.1024769,42.3822934;-71.1011111,42.3636597;-71.0898829,42.3463992;-71.0983169,42.3319001;'"
+      "text/plain": "<folium.folium.Map at 0x16801d550>",
+      "text/html": "<div style=\"width:100%;\"><div style=\"position:relative;width:100%;height:0;padding-bottom:60%;\"><span style=\"color:#565656\">Make this Notebook Trusted to load map: File -> Trust Notebook</span><iframe srcdoc=\"&lt;!DOCTYPE html&gt;\n&lt;html&gt;\n&lt;head&gt;\n    \n    &lt;meta http-equiv=&quot;content-type&quot; content=&quot;text/html; charset=UTF-8&quot; /&gt;\n    \n        &lt;script&gt;\n            L_NO_TOUCH = false;\n            L_DISABLE_3D = false;\n        &lt;/script&gt;\n    \n    &lt;style&gt;html, body {width: 100%;height: 100%;margin: 0;padding: 0;}&lt;/style&gt;\n    &lt;style&gt;#map {position:absolute;top:0;bottom:0;right:0;left:0;}&lt;/style&gt;\n    &lt;script src=&quot;https://cdn.jsdelivr.net/npm/leaflet@1.9.3/dist/leaflet.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://code.jquery.com/jquery-1.12.4.min.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://cdn.jsdelivr.net/npm/bootstrap@5.2.2/dist/js/bootstrap.bundle.min.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.js&quot;&gt;&lt;/script&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/leaflet@1.9.3/dist/leaflet.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/bootstrap@5.2.2/dist/css/bootstrap.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://netdna.bootstrapcdn.com/bootstrap/3.0.0/css/bootstrap.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free@6.2.0/css/all.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/gh/python-visualization/folium/folium/templates/leaflet.awesome.rotate.min.css&quot;/&gt;\n    \n            &lt;meta name=&quot;viewport&quot; content=&quot;width=device-width,\n                initial-scale=1.0, maximum-scale=1.0, user-scalable=no&quot; /&gt;\n            &lt;style&gt;\n                #map_f58224f6671207e98671e9d192875e60 {\n                    position: relative;\n                    width: 100.0%;\n                    height: 100.0%;\n                    left: 0.0%;\n                    top: 0.0%;\n                }\n                .leaflet-container { font-size: 1rem; 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style=&quot;width: 100.0%; height: 100.0%;&quot;&gt;Victoria&#x27;s Diner&lt;/div&gt;`)[0];\n                popup_516003df5a97ec2c0316ee20c6bc745c.setContent(html_a1cb83602af65eb510266804a180f131);\n            \n        \n\n        marker_dea64c87f2510ff54f3952a4cb6ab4b1.bindPopup(popup_516003df5a97ec2c0316ee20c6bc745c)\n        ;\n\n        \n    \n    \n            var marker_a4d4a51b4dd9b8df1811dde9f97bc614 = L.marker(\n                [42.2806539, -71.0119933],\n                {}\n            ).addTo(map_f58224f6671207e98671e9d192875e60);\n        \n    \n            var icon_15c7667a121ab1e4347b36c8ece9c9ce = L.AwesomeMarkers.icon(\n                {&quot;extraClasses&quot;: &quot;fa-rotate-0&quot;, &quot;icon&quot;: &quot;info-sign&quot;, &quot;iconColor&quot;: &quot;white&quot;, &quot;markerColor&quot;: &quot;blue&quot;, &quot;prefix&quot;: &quot;glyphicon&quot;}\n            );\n            marker_a4d4a51b4dd9b8df1811dde9f97bc614.setIcon(icon_15c7667a121ab1e4347b36c8ece9c9ce);\n        \n    \n        var popup_5bc4edfb1d6ffe4c98c45cd252d1e65a = L.popup({&quot;maxWidth&quot;: &quot;100%&quot;});\n\n        \n            \n                var html_8e2397f809f8ecf8a6c8ecdb6056f3cc = $(`&lt;div id=&quot;html_8e2397f809f8ecf8a6c8ecdb6056f3cc&quot; style=&quot;width: 100.0%; height: 100.0%;&quot;&gt;Wollaston Beach&lt;/div&gt;`)[0];\n                popup_5bc4edfb1d6ffe4c98c45cd252d1e65a.setContent(html_8e2397f809f8ecf8a6c8ecdb6056f3cc);\n            \n        \n\n        marker_a4d4a51b4dd9b8df1811dde9f97bc614.bindPopup(popup_5bc4edfb1d6ffe4c98c45cd252d1e65a)\n        ;\n\n        \n    \n&lt;/script&gt;\n&lt;/html&gt;\" style=\"position:absolute;width:100%;height:100%;left:0;top:0;border:none !important;\" allowfullscreen webkitallowfullscreen mozallowfullscreen></iframe></div></div>"
      },
-     "execution_count": 95,
+     "execution_count": 24,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "# Return the list of locations in each cluster\n",
-    "print(len(TotalList[TotalList['cluster'] == 0]['gps'].values.tolist()))\n",
-    "utils.list_to_string(TotalList[TotalList['cluster'] == 0]['gps'].values.tolist())"
+    "# Create a new map with the new coordinates\n",
+    "m = folium.Map(location=[42.3601, -71.0589], zoom_start=12)\n",
+    "\n",
+    "# Plot the centroids on the map\n",
+    "for i in range(len(centroids)):\n",
+    "    folium.Marker(centroids[i], popup='Centroid ' + str(i), icon=folium.Icon(color='black')).add_to(m)\n",
+    "\n",
+    "# Add the points to the map with different colors for each cluster\n",
+    "for i, row in TotalList.iterrows():\n",
+    "    if row['cluster'] == 0:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='red')).add_to(m)\n",
+    "    elif row['cluster'] == 1:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='blue')).add_to(m)\n",
+    "    elif row['cluster'] == 2:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='green')).add_to(m)\n",
+    "    elif row['cluster'] == 3:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='purple')).add_to(m)\n",
+    "    elif row['cluster'] == 4:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='orange')).add_to(m)\n",
+    "    elif row['cluster'] == 5:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='darkred')).add_to(m)\n",
+    "    elif row['cluster'] == 6:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='lightred')).add_to(m)\n",
+    "    elif row['cluster'] == 7:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='beige')).add_to(m)\n",
+    "    elif row['cluster'] == 8:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='darkblue')).add_to(m)\n",
+    "    elif row['cluster'] == 9:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='lightblue')).add_to(m)\n",
+    "    elif row['cluster'] == 10:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='cadet')).add_to(m)\n",
+    "\n",
+    "# Display the map\n",
+    "m"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:35.829990Z",
-     "start_time": "2023-11-06T01:14:35.821619Z"
+     "end_time": "2023-11-06T17:13:51.474500Z",
+     "start_time": "2023-11-06T17:13:51.364744Z"
     }
    },
-   "id": "89297f77828e8ed8"
+   "id": "e02dfb4cc414066a"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "outputs": [],
+   "source": [
+    "# Attempt to minimize the trip time by moving a coordinate from one cluster to the other\n",
+    "new_route_2_coordinates, new_route_1_coordinates = utils.minimize_route_time_diff(route_2['gps'].values.tolist(), route_1['gps'].values.tolist(), northeastern_coordinate, 0.5)"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T17:14:15.930771Z",
+     "start_time": "2023-11-06T17:13:51.471954Z"
+    }
+   },
+   "id": "fa09560bd996ad9c"
   },
   {
    "cell_type": "code",
-   "execution_count": 96,
+   "execution_count": 26,
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "74\n"
+      "The trip will take 10.150555555555556 hours\n",
+      "The trip will take 10.488888888888889 hours\n"
      ]
-    },
+    }
+   ],
+   "source": [
+    "# Calculate the new trip time\n",
+    "new_route_1_stops = len(new_route_1_coordinates)\n",
+    "new_route_1_str = utils.list_to_string(new_route_1_coordinates)\n",
+    "new_route_2_stops = len(new_route_2_coordinates)\n",
+    "new_route_2_str = utils.list_to_string(new_route_2_coordinates)\n",
+    "\n",
+    "new_trip_hrs_1 = utils.get_trip_time(northeastern_coordinate + new_route_1_str, new_route_1_stops)\n",
+    "print(\"The trip will take {} hours\".format(new_trip_hrs_1))\n",
+    "new_trip_hrs_2 = utils.get_trip_time(northeastern_coordinate + new_route_2_str, new_route_2_stops)\n",
+    "print(\"The trip will take {} hours\".format(new_trip_hrs_2))"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T17:14:17.697174Z",
+     "start_time": "2023-11-06T17:14:15.937708Z"
+    }
+   },
+   "id": "cb4c9f02d769c5b2"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "outputs": [],
+   "source": [
+    "# Edit the dataframe to reflect the new coordinate clusters\n",
+    "TotalList.loc[TotalList['gps'].astype(str).isin(map(str, new_route_1_coordinates)), 'cluster'] = 0\n",
+    "TotalList.loc[TotalList['gps'].astype(str).isin(map(str, new_route_2_coordinates)), 'cluster'] = 1"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T17:14:17.713355Z",
+     "start_time": "2023-11-06T17:14:17.702484Z"
+    }
+   },
+   "id": "ccda123bae5a7fe2"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "outputs": [
     {
      "data": {
-      "text/plain": "'-71.0553792,42.3688272;-71.0688746,42.3576234;-71.0754527,42.3565057;-71.0620802,42.3579151;-71.0586014,42.357357;-71.0572023,42.3587627;-71.0556268,42.36521;-71.0720926,42.3489004;-71.067859,42.3500079;-71.0632036,42.3556154;-71.0620134,42.3248471;-71.0851891,42.3500031;-71.066414,42.354296;-71.0834061,42.341987;-71.0569649,42.3604952;-71.0498714,42.3256817;-71.0908104,42.329969;-71.0616035,42.3537983;-71.0359433,42.3485465;-71.0638101,42.3587772;-71.0555003,42.3640137;-71.0712561,42.3407613;-71.0561781,42.3668968;-71.0664019,42.3554589;-71.059228,42.359349;-71.0668408,42.3524116;-71.0872846,42.2961434;-71.062146,42.366198;-71.0651214,42.3553972;-71.0596124,42.3509517;-71.0359354,42.3478381;-71.061757,42.3691906;-71.0609962,42.3803747;-71.0516339,42.3609921;-71.0809932,42.3675275;-71.0545357,42.3597994;-71.0342146,42.316274;-71.0756902,42.3695046;-71.0678704,42.3701829;-71.0656594,42.3718401;-71.0611749,42.3551807;-71.0554239,42.3739796;-71.0631664,42.3741694;-71.056823,42.361531;-71.0632852,42.2857047;-71.0637877,42.2845163;-71.0496839,42.3519736;-71.0454645,42.3162356;-71.0336324,42.3441918;-71.0487437,42.3508756;-71.0512911,42.3521821;-71.0013637,42.2075316;-71.0607764,42.3763541;-71.0374911,42.316031;-71.0125206,42.3378699;-71.0672898,42.3523158;-71.02832,42.2576602;-71.0502126,42.3516479;-71.0331956,42.3639107;-71.0432778,42.3528151;-71.0035279,42.2392354;-71.0470633,42.3537343;-71.0352443,42.3291218;-71.0240951,42.2743442;-71.0234949,42.3358743;-70.985881,42.420226;-71.0005483,42.2454086;-71.0096371,42.3367603;-71.0447796,42.3509709;-71.0092883,42.2763168;-71.0404428,42.3478375;-71.056908,42.361288;-71.0667744,42.3270498;-71.0119933,42.2806539;'"
+      "text/plain": "1    70\n0    61\nName: cluster, dtype: int64"
      },
-     "execution_count": 96,
+     "execution_count": 28,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "print(len(TotalList[TotalList['cluster'] == 1]['gps'].values.tolist()))\n",
-    "utils.list_to_string(TotalList[TotalList['cluster'] == 1]['gps'].values.tolist())"
+    "# Display the number of locations in each cluster\n",
+    "TotalList['cluster'].value_counts()"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:14:36.909798Z",
-     "start_time": "2023-11-06T01:14:36.904157Z"
+     "end_time": "2023-11-06T17:14:17.725481Z",
+     "start_time": "2023-11-06T17:14:17.710476Z"
     }
    },
-   "id": "6ff82e29a0366d9e"
+   "id": "c871a41d003d72ee"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "outputs": [
+    {
+     "data": {
+      "text/plain": "<folium.folium.Map at 0x168190350>",
+      "text/html": "<div style=\"width:100%;\"><div style=\"position:relative;width:100%;height:0;padding-bottom:60%;\"><span style=\"color:#565656\">Make this Notebook Trusted to load map: File -> Trust Notebook</span><iframe srcdoc=\"&lt;!DOCTYPE html&gt;\n&lt;html&gt;\n&lt;head&gt;\n    \n    &lt;meta http-equiv=&quot;content-type&quot; content=&quot;text/html; charset=UTF-8&quot; /&gt;\n    \n        &lt;script&gt;\n            L_NO_TOUCH = false;\n            L_DISABLE_3D = false;\n        &lt;/script&gt;\n    \n    &lt;style&gt;html, body {width: 100%;height: 100%;margin: 0;padding: 0;}&lt;/style&gt;\n    &lt;style&gt;#map {position:absolute;top:0;bottom:0;right:0;left:0;}&lt;/style&gt;\n    &lt;script src=&quot;https://cdn.jsdelivr.net/npm/leaflet@1.9.3/dist/leaflet.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://code.jquery.com/jquery-1.12.4.min.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://cdn.jsdelivr.net/npm/bootstrap@5.2.2/dist/js/bootstrap.bundle.min.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.js&quot;&gt;&lt;/script&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/leaflet@1.9.3/dist/leaflet.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/bootstrap@5.2.2/dist/css/bootstrap.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://netdna.bootstrapcdn.com/bootstrap/3.0.0/css/bootstrap.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free@6.2.0/css/all.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/gh/python-visualization/folium/folium/templates/leaflet.awesome.rotate.min.css&quot;/&gt;\n    \n            &lt;meta name=&quot;viewport&quot; content=&quot;width=device-width,\n                initial-scale=1.0, maximum-scale=1.0, user-scalable=no&quot; /&gt;\n            &lt;style&gt;\n                #map_3ad55e51fdc4a064cd9ca76ecd7cb03e {\n                    position: relative;\n                    width: 100.0%;\n                    height: 100.0%;\n                    left: 0.0%;\n                    top: 0.0%;\n                }\n                .leaflet-container { font-size: 1rem; }\n            &lt;/style&gt;\n        \n&lt;/head&gt;\n&lt;body&gt;\n    \n    \n            &lt;div class=&quot;folium-map&quot; id=&quot;map_3ad55e51fdc4a064cd9ca76ecd7cb03e&quot; &gt;&lt;/div&gt;\n        \n&lt;/body&gt;\n&lt;script&gt;\n    \n    \n            var map_3ad55e51fdc4a064cd9ca76ecd7cb03e = L.map(\n                &quot;map_3ad55e51fdc4a064cd9ca76ecd7cb03e&quot;,\n                {\n                    center: [42.3601, -71.0589],\n                    crs: L.CRS.EPSG3857,\n                    zoom: 12,\n                    zoomControl: true,\n                    preferCanvas: false,\n                }\n            );\n\n            \n\n        \n    \n            var tile_layer_1bfc07392bfd36efbf81b04f0e2f7257 = L.tileLayer(\n                &quot;https://{s}.tile.openstreetmap.org/{z}/{x}/{y}.png&quot;,\n                {&quot;attribution&quot;: &quot;Data by \\u0026copy; \\u003ca target=\\&quot;_blank\\&quot; href=\\&quot;http://openstreetmap.org\\&quot;\\u003eOpenStreetMap\\u003c/a\\u003e, under \\u003ca target=\\&quot;_blank\\&quot; 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style=&quot;width: 100.0%; height: 100.0%;&quot;&gt;Victoria&#x27;s Diner&lt;/div&gt;`)[0];\n                popup_c10d4d648f9b652e6ebb32e4e747e7c6.setContent(html_c0c627e3aaa62539ada059b7af541041);\n            \n        \n\n        marker_948ad09da8067ab4c6e3b0d2e30f12b5.bindPopup(popup_c10d4d648f9b652e6ebb32e4e747e7c6)\n        ;\n\n        \n    \n    \n            var marker_cde44e925824ce1e7859d11c7cf9039f = L.marker(\n                [42.2806539, -71.0119933],\n                {}\n            ).addTo(map_3ad55e51fdc4a064cd9ca76ecd7cb03e);\n        \n    \n            var icon_d5f7d2fcc7a2116e74964f1923b04a92 = L.AwesomeMarkers.icon(\n                {&quot;extraClasses&quot;: &quot;fa-rotate-0&quot;, &quot;icon&quot;: &quot;info-sign&quot;, &quot;iconColor&quot;: &quot;white&quot;, &quot;markerColor&quot;: &quot;blue&quot;, &quot;prefix&quot;: &quot;glyphicon&quot;}\n            );\n            marker_cde44e925824ce1e7859d11c7cf9039f.setIcon(icon_d5f7d2fcc7a2116e74964f1923b04a92);\n        \n    \n        var popup_ce0c979721bc4eb89cdbd5fbab68cb8b = L.popup({&quot;maxWidth&quot;: &quot;100%&quot;});\n\n        \n            \n                var html_8c68f2ce9956ddd018d6f8314cbb1822 = $(`&lt;div id=&quot;html_8c68f2ce9956ddd018d6f8314cbb1822&quot; style=&quot;width: 100.0%; height: 100.0%;&quot;&gt;Wollaston Beach&lt;/div&gt;`)[0];\n                popup_ce0c979721bc4eb89cdbd5fbab68cb8b.setContent(html_8c68f2ce9956ddd018d6f8314cbb1822);\n            \n        \n\n        marker_cde44e925824ce1e7859d11c7cf9039f.bindPopup(popup_ce0c979721bc4eb89cdbd5fbab68cb8b)\n        ;\n\n        \n    \n&lt;/script&gt;\n&lt;/html&gt;\" style=\"position:absolute;width:100%;height:100%;left:0;top:0;border:none !important;\" allowfullscreen webkitallowfullscreen mozallowfullscreen></iframe></div></div>"
+     },
+     "execution_count": 29,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# Create a new map with the new coordinates\n",
+    "m = folium.Map(location=[42.3601, -71.0589], zoom_start=12)\n",
+    "\n",
+    "# Plot the centroids on the map\n",
+    "for i in range(len(centroids)):\n",
+    "    folium.Marker(centroids[i], popup='Centroid ' + str(i), icon=folium.Icon(color='black')).add_to(m)\n",
+    "\n",
+    "# Add the points to the map with different colors for each cluster\n",
+    "for i, row in TotalList.iterrows():\n",
+    "    if row['cluster'] == 0:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='red')).add_to(m)\n",
+    "    elif row['cluster'] == 1:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='blue')).add_to(m)\n",
+    "    elif row['cluster'] == 2:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='green')).add_to(m)\n",
+    "    elif row['cluster'] == 3:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='purple')).add_to(m)\n",
+    "    elif row['cluster'] == 4:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='orange')).add_to(m)\n",
+    "    elif row['cluster'] == 5:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='darkred')).add_to(m)\n",
+    "    elif row['cluster'] == 6:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='lightred')).add_to(m)\n",
+    "    elif row['cluster'] == 7:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='beige')).add_to(m)\n",
+    "    elif row['cluster'] == 8:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='darkblue')).add_to(m)\n",
+    "    elif row['cluster'] == 9:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='lightblue')).add_to(m)\n",
+    "    elif row['cluster'] == 10:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='cadet')).add_to(m)\n",
+    "\n",
+    "# Display the map\n",
+    "m"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T17:14:17.803413Z",
+     "start_time": "2023-11-06T17:14:17.723348Z"
+    }
+   },
+   "id": "76538bc325ff80b0"
   },
   {
    "cell_type": "code",
-   "execution_count": 77,
+   "execution_count": 29,
    "outputs": [],
    "source": [],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:08:43.651470Z",
-     "start_time": "2023-11-06T01:08:43.640872Z"
+     "end_time": "2023-11-06T17:14:17.803513Z",
+     "start_time": "2023-11-06T17:14:17.800565Z"
     }
    },
-   "id": "7949bddd34b6731"
+   "id": "438c323e29e25031"
   }
  ],
  "metadata": {
diff --git a/Clustering2.0.ipynb b/Clustering2.0.ipynb
new file mode 100644
index 0000000..e312a2b
--- /dev/null
+++ b/Clustering2.0.ipynb
@@ -0,0 +1,313 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "initial_id",
+   "metadata": {
+    "collapsed": true,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T23:41:01.990393Z",
+     "start_time": "2023-11-06T23:41:01.040992Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "import folium\n",
+    "import pandas as pd\n",
+    "import utils"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "outputs": [],
+   "source": [
+    "# Load the data\n",
+    "ListA = pd.read_csv('List A.csv')\n",
+    "ListB = pd.read_csv('List B.csv')\n",
+    "ListC = pd.read_csv('List C.csv')\n",
+    "ListD = pd.read_csv('List D.csv')"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T23:41:02.000278Z",
+     "start_time": "2023-11-06T23:41:01.991024Z"
+    }
+   },
+   "id": "bb6f57eef695cf76"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "outputs": [],
+   "source": [
+    "# Create two centroids, one in the North End and one in the Financial District\n",
+    "centroids = [[42.364506, -71.054733], [42.358894, -71.056742]]\n",
+    "\n",
+    "northeastern_coordinate = \"-71.09033,42.33976\""
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T23:41:02.003984Z",
+     "start_time": "2023-11-06T23:41:02.000633Z"
+    }
+   },
+   "id": "fe8a5b9bc06cf2e0"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "outputs": [
+    {
+     "data": {
+      "text/plain": "                          name                     gps  \\\n0   521 Commercial Street #525  42.3688272,-71.0553792   \n1                     Acorn St  42.3576234,-71.0688746   \n2    Arlington's Great Meadows  42.4299758,-71.2038948   \n3        Arthur Fiedler Statue  42.3565057,-71.0754527   \n4                     BU Beach  42.3511927,-71.1060828   \n..                         ...                     ...   \n28                The Clam Box  42.2763168,-71.0092883   \n29               The Partisans  42.3478375,-71.0404428   \n30          Union Oyster House    42.361288,-71.056908   \n31            Victoria's Diner  42.3270498,-71.0667744   \n32             Wollaston Beach  42.2806539,-71.0119933   \n\n                                            googleUrl  \\\n0   https://maps.google.com/maps?q=+%4042.3688272,...   \n1   https://maps.google.com/maps?q=+%4042.3576234,...   \n2   https://maps.google.com/maps?q=+%4042.4299758,...   \n3   https://maps.google.com/maps?q=+%4042.3565057,...   \n4   https://maps.google.com/maps?q=+%4042.3511927,...   \n..                                                ...   \n28  https://maps.google.com/maps?q=+%4042.2763168,...   \n29  https://maps.google.com/maps?q=+%4042.3478375,...   \n30  https://maps.google.com/maps?q=+%4042.361288,-...   \n31  https://maps.google.com/maps?q=+%4042.3270498,...   \n32  https://maps.google.com/maps?q=+%4042.2806539,...   \n\n                                          originalUrl  info  types  \\\n0   https://www.google.com/maps/place/521+Commerci...   NaN    NaN   \n1   https://www.google.com/maps/place/Acorn+St/dat...   NaN    NaN   \n2   https://www.google.com/maps/place/Arlington's+...   NaN    NaN   \n3   https://www.google.com/maps/place/Arthur+Fiedl...   NaN    NaN   \n4   https://www.google.com/maps/place/BU+Beach/dat...   NaN    NaN   \n..                                                ...   ...    ...   \n28  https://www.google.com/maps/place/The+Clam+Box...   NaN    NaN   \n29  https://www.google.com/maps/place/The+Partisan...   NaN    NaN   \n30  https://www.google.com/maps/place/Union+Oyster...   NaN    NaN   \n31  https://www.google.com/maps/place/Victoria's+D...   NaN    NaN   \n32  https://www.google.com/maps/place/Wollaston+Be...   NaN    NaN   \n\n                                              address  \\\n0                                                 NaN   \n1                                                 NaN   \n2   Minuteman Commuter Bikeway, Lexington, MA 0242...   \n3   Charles River Esplanades, Boston, MA 02114, Un...   \n4   270 Bay State Rd, Boston, MA 02215, United States   \n..                                                ...   \n28  789 Quincy Shore Dr, Quincy, MA 02170, United ...   \n29                    Boston, MA 02210, United States   \n30       41 Union St, Boston, MA 02108, United States   \n31  1024 Massachusetts Ave, Boston, MA 02118, Unit...   \n32                          Quincy, MA, United States   \n\n                                          description                type  \\\n0                                                 NaN                 NaN   \n1                                                 NaN                 NaN   \n2   183-acres of wet meadows & uplands with trails...     Nature preserve   \n3                                                 NaN           Sculpture   \n4   A sloping, grassy plaza on the university grou...                Park   \n..                                                ...                 ...   \n28  Classic beachfront joint with a rustic vibe di...  Seafood restaurant   \n29                                                NaN           Sculpture   \n30  Historic eatery serving chowder & other New En...  Seafood restaurant   \n31  Long-standing classic diner for breakfast & sa...               Diner   \n32  Historic 2.3-mi.-long beach with a paved prome...               Beach   \n\n              phone                                            website  \\\n0               NaN                                                NaN   \n1               NaN                                                NaN   \n2   +1 781-863-5385                              http://www.foagm.org/   \n3   +1 617-332-2433  http://helmicksculpture.com/portfolio/arthur-f...   \n4               NaN  https://www.bu.edu/today/2009/icons-among-us-t...   \n..              ...                                                ...   \n28  +1 617-302-3474                      http://www.clamboxquincy.com/   \n29              NaN  https://www.bostonseaport.xyz/venue/the-partis...   \n30  +1 617-227-2750  http://www.unionoysterhouse.com/?y_source=1_Mj...   \n31  +1 617-442-5965                     http://www.victoriasdiner.com/   \n32              NaN                                                NaN   \n\n    ratingsAverage  ratingsTotal                               plusCode list  \n0              NaN           NaN                                    NaN    A  \n1              NaN           NaN                                    NaN    A  \n2              4.6         171.0  CQHW+XC Lexington, Massachusetts, USA    A  \n3              4.6          14.0     9W4F+JR Boston, Massachusetts, USA    A  \n4              4.5         133.0     9V2V+FH Boston, Massachusetts, USA    A  \n..             ...           ...                                    ...  ...  \n28             4.3        2145.0     7XGR+G7 Quincy, Massachusetts, USA    C  \n29             4.8           6.0     8XX5+4R Boston, Massachusetts, USA    C  \n30             4.3        8497.0     9W6V+G6 Boston, Massachusetts, USA    C  \n31             4.1        1797.0     8WGM+R7 Boston, Massachusetts, USA    C  \n32             4.4         171.0                                    NaN    C  \n\n[131 rows x 15 columns]",
+      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>name</th>\n      <th>gps</th>\n      <th>googleUrl</th>\n      <th>originalUrl</th>\n      <th>info</th>\n      <th>types</th>\n      <th>address</th>\n      <th>description</th>\n      <th>type</th>\n      <th>phone</th>\n      <th>website</th>\n      <th>ratingsAverage</th>\n      <th>ratingsTotal</th>\n      <th>plusCode</th>\n      <th>list</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>521 Commercial Street #525</td>\n      <td>42.3688272,-71.0553792</td>\n      <td>https://maps.google.com/maps?q=+%4042.3688272,...</td>\n      <td>https://www.google.com/maps/place/521+Commerci...</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>A</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>Acorn St</td>\n      <td>42.3576234,-71.0688746</td>\n      <td>https://maps.google.com/maps?q=+%4042.3576234,...</td>\n      <td>https://www.google.com/maps/place/Acorn+St/dat...</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>A</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>Arlington's Great Meadows</td>\n      <td>42.4299758,-71.2038948</td>\n      <td>https://maps.google.com/maps?q=+%4042.4299758,...</td>\n      <td>https://www.google.com/maps/place/Arlington's+...</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>Minuteman Commuter Bikeway, Lexington, MA 0242...</td>\n      <td>183-acres of wet meadows &amp; uplands with trails...</td>\n      <td>Nature preserve</td>\n      <td>+1 781-863-5385</td>\n      <td>http://www.foagm.org/</td>\n      <td>4.6</td>\n      <td>171.0</td>\n      <td>CQHW+XC Lexington, Massachusetts, USA</td>\n      <td>A</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>Arthur Fiedler Statue</td>\n      <td>42.3565057,-71.0754527</td>\n      <td>https://maps.google.com/maps?q=+%4042.3565057,...</td>\n      <td>https://www.google.com/maps/place/Arthur+Fiedl...</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>Charles River Esplanades, Boston, MA 02114, Un...</td>\n      <td>NaN</td>\n      <td>Sculpture</td>\n      <td>+1 617-332-2433</td>\n      <td>http://helmicksculpture.com/portfolio/arthur-f...</td>\n      <td>4.6</td>\n      <td>14.0</td>\n      <td>9W4F+JR Boston, Massachusetts, USA</td>\n      <td>A</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>BU Beach</td>\n      <td>42.3511927,-71.1060828</td>\n      <td>https://maps.google.com/maps?q=+%4042.3511927,...</td>\n      <td>https://www.google.com/maps/place/BU+Beach/dat...</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>270 Bay State Rd, Boston, MA 02215, United States</td>\n      <td>A sloping, grassy plaza on the university grou...</td>\n      <td>Park</td>\n      <td>NaN</td>\n      <td>https://www.bu.edu/today/2009/icons-among-us-t...</td>\n      <td>4.5</td>\n      <td>133.0</td>\n      <td>9V2V+FH Boston, Massachusetts, USA</td>\n      <td>A</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>28</th>\n      <td>The Clam Box</td>\n      <td>42.2763168,-71.0092883</td>\n      <td>https://maps.google.com/maps?q=+%4042.2763168,...</td>\n      <td>https://www.google.com/maps/place/The+Clam+Box...</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>789 Quincy Shore Dr, Quincy, MA 02170, United ...</td>\n      <td>Classic beachfront joint with a rustic vibe di...</td>\n      <td>Seafood restaurant</td>\n      <td>+1 617-302-3474</td>\n      <td>http://www.clamboxquincy.com/</td>\n      <td>4.3</td>\n      <td>2145.0</td>\n      <td>7XGR+G7 Quincy, Massachusetts, USA</td>\n      <td>C</td>\n    </tr>\n    <tr>\n      <th>29</th>\n      <td>The Partisans</td>\n      <td>42.3478375,-71.0404428</td>\n      <td>https://maps.google.com/maps?q=+%4042.3478375,...</td>\n      <td>https://www.google.com/maps/place/The+Partisan...</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>Boston, MA 02210, United States</td>\n      <td>NaN</td>\n      <td>Sculpture</td>\n      <td>NaN</td>\n      <td>https://www.bostonseaport.xyz/venue/the-partis...</td>\n      <td>4.8</td>\n      <td>6.0</td>\n      <td>8XX5+4R Boston, Massachusetts, USA</td>\n      <td>C</td>\n    </tr>\n    <tr>\n      <th>30</th>\n      <td>Union Oyster House</td>\n      <td>42.361288,-71.056908</td>\n      <td>https://maps.google.com/maps?q=+%4042.361288,-...</td>\n      <td>https://www.google.com/maps/place/Union+Oyster...</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>41 Union St, Boston, MA 02108, United States</td>\n      <td>Historic eatery serving chowder &amp; other New En...</td>\n      <td>Seafood restaurant</td>\n      <td>+1 617-227-2750</td>\n      <td>http://www.unionoysterhouse.com/?y_source=1_Mj...</td>\n      <td>4.3</td>\n      <td>8497.0</td>\n      <td>9W6V+G6 Boston, Massachusetts, USA</td>\n      <td>C</td>\n    </tr>\n    <tr>\n      <th>31</th>\n      <td>Victoria's Diner</td>\n      <td>42.3270498,-71.0667744</td>\n      <td>https://maps.google.com/maps?q=+%4042.3270498,...</td>\n      <td>https://www.google.com/maps/place/Victoria's+D...</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>1024 Massachusetts Ave, Boston, MA 02118, Unit...</td>\n      <td>Long-standing classic diner for breakfast &amp; sa...</td>\n      <td>Diner</td>\n      <td>+1 617-442-5965</td>\n      <td>http://www.victoriasdiner.com/</td>\n      <td>4.1</td>\n      <td>1797.0</td>\n      <td>8WGM+R7 Boston, Massachusetts, USA</td>\n      <td>C</td>\n    </tr>\n    <tr>\n      <th>32</th>\n      <td>Wollaston Beach</td>\n      <td>42.2806539,-71.0119933</td>\n      <td>https://maps.google.com/maps?q=+%4042.2806539,...</td>\n      <td>https://www.google.com/maps/place/Wollaston+Be...</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>Quincy, MA, United States</td>\n      <td>Historic 2.3-mi.-long beach with a paved prome...</td>\n      <td>Beach</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>4.4</td>\n      <td>171.0</td>\n      <td>NaN</td>\n      <td>C</td>\n    </tr>\n  </tbody>\n</table>\n<p>131 rows × 15 columns</p>\n</div>"
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Combine the two lists and add a column to indicate the list\n",
+    "ListA['list'] = 'A'\n",
+    "ListB['list'] = 'B'\n",
+    "ListC['list'] = 'C'\n",
+    "ListD['list'] = 'D'\n",
+    "\n",
+    "TotalList = pd.concat([ListA, ListB, ListC])\n",
+    "display(TotalList)"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T23:41:02.012929Z",
+     "start_time": "2023-11-06T23:41:02.005863Z"
+    }
+   },
+   "id": "dc434958d5e4a3a8"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "outputs": [],
+   "source": [
+    "# Remove all columns but name and gps\n",
+    "TotalList = TotalList[['name', 'gps', 'list']]"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T23:41:02.016943Z",
+     "start_time": "2023-11-06T23:41:02.013583Z"
+    }
+   },
+   "id": "2873c16423fe3119"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "outputs": [],
+   "source": [
+    "# Convert the gps column to a list of lists for k-means\n",
+    "TotalList['gps'] = TotalList['gps'].apply(lambda x: x.strip('[]').split(','))\n",
+    "TotalList['gps'] = TotalList['gps'].apply(lambda x: [float(i) for i in x])"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T23:41:02.021308Z",
+     "start_time": "2023-11-06T23:41:02.016226Z"
+    }
+   },
+   "id": "29f9155ef8d75fda"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "outputs": [],
+   "source": [
+    "# Create a new column with normalized gps coordinates and centroids\n",
+    "TotalList['normalized_gps'], norm_centroids = utils.normalize_gps(TotalList['gps'].values.tolist(), centroids)"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T23:41:02.021459Z",
+     "start_time": "2023-11-06T23:41:02.018449Z"
+    }
+   },
+   "id": "5b985f1a6df84a6c"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "outputs": [
+    {
+     "data": {
+      "text/plain": "                          name                        gps list  \\\n0   521 Commercial Street #525  [42.3688272, -71.0553792]    A   \n1                     Acorn St  [42.3576234, -71.0688746]    A   \n2    Arlington's Great Meadows  [42.4299758, -71.2038948]    A   \n3        Arthur Fiedler Statue  [42.3565057, -71.0754527]    A   \n4                     BU Beach  [42.3511927, -71.1060828]    A   \n..                         ...                        ...  ...   \n28                The Clam Box  [42.2763168, -71.0092883]    C   \n29               The Partisans  [42.3478375, -71.0404428]    C   \n30          Union Oyster House    [42.361288, -71.056908]    C   \n31            Victoria's Diner  [42.3270498, -71.0667744]    C   \n32             Wollaston Beach  [42.2806539, -71.0119933]    C   \n\n                               normalized_gps  \n0    [0.7251058917247415, 0.8141430878559053]  \n1     [0.6747391031099019, 0.778052752104061]  \n2                  [1.0, 0.41697235794883575]  \n3    [0.6697144722136962, 0.7604611403245493]  \n4    [0.6458298305822171, 0.6785480000609988]  \n..                                        ...  \n28  [0.30922451563130937, 0.9374025730216268]  \n29   [0.6307464973238023, 0.8540870458656248]  \n30   [0.6912133469876947, 0.8100546647415456]  \n31   [0.5372951958288665, 0.7836692527743693]  \n32  [0.32872198960456106, 0.9301686741961767]  \n\n[131 rows x 4 columns]",
+      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>name</th>\n      <th>gps</th>\n      <th>list</th>\n      <th>normalized_gps</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>521 Commercial Street #525</td>\n      <td>[42.3688272, -71.0553792]</td>\n      <td>A</td>\n      <td>[0.7251058917247415, 0.8141430878559053]</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>Acorn St</td>\n      <td>[42.3576234, -71.0688746]</td>\n      <td>A</td>\n      <td>[0.6747391031099019, 0.778052752104061]</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>Arlington's Great Meadows</td>\n      <td>[42.4299758, -71.2038948]</td>\n      <td>A</td>\n      <td>[1.0, 0.41697235794883575]</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>Arthur Fiedler Statue</td>\n      <td>[42.3565057, -71.0754527]</td>\n      <td>A</td>\n      <td>[0.6697144722136962, 0.7604611403245493]</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>BU Beach</td>\n      <td>[42.3511927, -71.1060828]</td>\n      <td>A</td>\n      <td>[0.6458298305822171, 0.6785480000609988]</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>28</th>\n      <td>The Clam Box</td>\n      <td>[42.2763168, -71.0092883]</td>\n      <td>C</td>\n      <td>[0.30922451563130937, 0.9374025730216268]</td>\n    </tr>\n    <tr>\n      <th>29</th>\n      <td>The Partisans</td>\n      <td>[42.3478375, -71.0404428]</td>\n      <td>C</td>\n      <td>[0.6307464973238023, 0.8540870458656248]</td>\n    </tr>\n    <tr>\n      <th>30</th>\n      <td>Union Oyster House</td>\n      <td>[42.361288, -71.056908]</td>\n      <td>C</td>\n      <td>[0.6912133469876947, 0.8100546647415456]</td>\n    </tr>\n    <tr>\n      <th>31</th>\n      <td>Victoria's Diner</td>\n      <td>[42.3270498, -71.0667744]</td>\n      <td>C</td>\n      <td>[0.5372951958288665, 0.7836692527743693]</td>\n    </tr>\n    <tr>\n      <th>32</th>\n      <td>Wollaston Beach</td>\n      <td>[42.2806539, -71.0119933]</td>\n      <td>C</td>\n      <td>[0.32872198960456106, 0.9301686741961767]</td>\n    </tr>\n  </tbody>\n</table>\n<p>131 rows × 4 columns</p>\n</div>"
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "display(TotalList)"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T23:41:02.028731Z",
+     "start_time": "2023-11-06T23:41:02.023494Z"
+    }
+   },
+   "id": "a03a7c5dacebddd0"
+  },
+  {
+   "cell_type": "markdown",
+   "source": [
+    "# Cluster and Minimize"
+   ],
+   "metadata": {
+    "collapsed": false
+   },
+   "id": "ee3ab1c81ea71b0"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/garrinshieh/anaconda3/lib/python3.11/site-packages/sklearn/cluster/_kmeans.py:1412: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
+      "  super()._check_params_vs_input(X, default_n_init=10)\n",
+      "/Users/garrinshieh/anaconda3/lib/python3.11/site-packages/sklearn/cluster/_kmeans.py:1412: RuntimeWarning: Explicit initial center position passed: performing only one init in KMeans instead of n_init=10.\n",
+      "  super()._check_params_vs_input(X, default_n_init=10)\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Cluster and minimize the data\n",
+    "df, route_1_coordinates, route_2_coordinates = utils.cluster_and_minimize(TotalList, centroids, norm_centroids,\n",
+    "                                                                          northeastern_coordinate, 0.5)"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T23:41:28.583623Z",
+     "start_time": "2023-11-06T23:41:02.026243Z"
+    }
+   },
+   "id": "a1a3e446594e8c20"
+  },
+  {
+   "cell_type": "markdown",
+   "source": [
+    "# Map"
+   ],
+   "metadata": {
+    "collapsed": false
+   },
+   "id": "dc35d41885a19079"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "outputs": [
+    {
+     "data": {
+      "text/plain": "<folium.folium.Map at 0x14f45bf90>",
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style=&quot;width: 100.0%; height: 100.0%;&quot;&gt;Victoria&#x27;s Diner&lt;/div&gt;`)[0];\n                popup_1f4b213ea4672aa6bc8936d5f2eb1041.setContent(html_d6ad4dcca695208be3552542ea809891);\n            \n        \n\n        marker_789ae431830a646dd793aac647e2948c.bindPopup(popup_1f4b213ea4672aa6bc8936d5f2eb1041)\n        ;\n\n        \n    \n    \n            var marker_3ced4b730f678b114fbbbcec1ddd7982 = L.marker(\n                [42.2806539, -71.0119933],\n                {}\n            ).addTo(map_dc0540dff5abe3a546ba4738b2dfd4b7);\n        \n    \n            var icon_85be1472be58e28f0a974b227319ebc4 = L.AwesomeMarkers.icon(\n                {&quot;extraClasses&quot;: &quot;fa-rotate-0&quot;, &quot;icon&quot;: &quot;info-sign&quot;, &quot;iconColor&quot;: &quot;white&quot;, &quot;markerColor&quot;: &quot;blue&quot;, &quot;prefix&quot;: &quot;glyphicon&quot;}\n            );\n            marker_3ced4b730f678b114fbbbcec1ddd7982.setIcon(icon_85be1472be58e28f0a974b227319ebc4);\n        \n    \n        var popup_fb653a41aff7a511482d228f7f16a9d2 = L.popup({&quot;maxWidth&quot;: &quot;100%&quot;});\n\n        \n            \n                var html_e3c717b9f42b19334f4fd1107771e740 = $(`&lt;div id=&quot;html_e3c717b9f42b19334f4fd1107771e740&quot; style=&quot;width: 100.0%; height: 100.0%;&quot;&gt;Wollaston Beach&lt;/div&gt;`)[0];\n                popup_fb653a41aff7a511482d228f7f16a9d2.setContent(html_e3c717b9f42b19334f4fd1107771e740);\n            \n        \n\n        marker_3ced4b730f678b114fbbbcec1ddd7982.bindPopup(popup_fb653a41aff7a511482d228f7f16a9d2)\n        ;\n\n        \n    \n&lt;/script&gt;\n&lt;/html&gt;\" style=\"position:absolute;width:100%;height:100%;left:0;top:0;border:none !important;\" allowfullscreen webkitallowfullscreen mozallowfullscreen></iframe></div></div>"
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# Create a new map with the new coordinates\n",
+    "m = folium.Map(location=[42.3601, -71.0589], zoom_start=12)\n",
+    "\n",
+    "# Plot the centroids on the map\n",
+    "for i in range(len(centroids)):\n",
+    "    folium.Marker(centroids[i], popup='Centroid ' + str(i), icon=folium.Icon(color='black')).add_to(m)\n",
+    "\n",
+    "# Add the points to the map with different colors for each cluster\n",
+    "for i, row in df.iterrows():\n",
+    "    if row['cluster'] == 0:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='red')).add_to(m)\n",
+    "    elif row['cluster'] == 1:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='blue')).add_to(m)\n",
+    "    elif row['cluster'] == 2:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='green')).add_to(m)\n",
+    "    elif row['cluster'] == 3:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='purple')).add_to(m)\n",
+    "    elif row['cluster'] == 4:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='orange')).add_to(m)\n",
+    "    elif row['cluster'] == 5:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='darkred')).add_to(m)\n",
+    "    elif row['cluster'] == 6:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='lightred')).add_to(m)\n",
+    "    elif row['cluster'] == 7:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='beige')).add_to(m)\n",
+    "    elif row['cluster'] == 8:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='darkblue')).add_to(m)\n",
+    "    elif row['cluster'] == 9:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='lightblue')).add_to(m)\n",
+    "    elif row['cluster'] == 10:\n",
+    "        folium.Marker([row['gps'][0], row['gps'][1]], popup=row['name'], icon=folium.Icon(color='cadet')).add_to(m)\n",
+    "\n",
+    "# Display the map\n",
+    "m"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T23:41:34.488607Z",
+     "start_time": "2023-11-06T23:41:34.368207Z"
+    }
+   },
+   "id": "de9c2f7b892b1bee"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "outputs": [],
+   "source": [],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-06T23:41:28.671570Z",
+     "start_time": "2023-11-06T23:41:28.667750Z"
+    }
+   },
+   "id": "b50ee3d4d6e09be9"
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 2
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython2",
+   "version": "2.7.6"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/ZestySalesman.ipynb b/ZestySalesman.ipynb
index 7e74f46..1d1fd59 100644
--- a/ZestySalesman.ipynb
+++ b/ZestySalesman.ipynb
@@ -2,65 +2,245 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 24,
    "id": "initial_id",
    "metadata": {
     "collapsed": true,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:23:16.767323Z",
-     "start_time": "2023-11-06T01:23:16.761053Z"
+     "end_time": "2023-11-07T01:17:52.608101Z",
+     "start_time": "2023-11-07T01:17:52.539921Z"
     }
    },
    "outputs": [],
    "source": [
     "import pandas as pd\n",
-    "import numpy as np\n",
-    "import requests\n",
     "import folium\n",
     "import utils"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 25,
+   "outputs": [],
+   "source": [
+    "# Load the data\n",
+    "ListA = pd.read_csv('List A.csv')\n",
+    "ListB = pd.read_csv('List B.csv')\n",
+    "ListC = pd.read_csv('List C.csv')\n",
+    "ListD = pd.read_csv('List D.csv')"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:17:52.672617Z",
+     "start_time": "2023-11-07T01:17:52.544450Z"
+    }
+   },
+   "id": "73b780e762c9de37"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "outputs": [],
+   "source": [
+    "# Create three centroids, one in the North End, one in the Financial District, and one in the Back Bay\n",
+    "centroids = [[42.364506, -71.054733], [42.358894, -71.056742], [42.3505, -71.0760]]\n",
+    "\n",
+    "northeastern_coordinate = \"-71.09033,42.33976\""
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:17:52.673868Z",
+     "start_time": "2023-11-07T01:17:52.558087Z"
+    }
+   },
+   "id": "be4c8c1d77842ef7"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "outputs": [],
+   "source": [
+    "# Combine the two lists and add a column to indicate the list\n",
+    "ListA['list'] = 'A'\n",
+    "ListB['list'] = 'B'\n",
+    "ListC['list'] = 'C'\n",
+    "ListD['list'] = 'D'\n",
+    "\n",
+    "TotalList = pd.concat([ListA, ListB, ListC, ListD])"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:17:52.702176Z",
+     "start_time": "2023-11-07T01:17:52.568817Z"
+    }
+   },
+   "id": "ffe4025e97a6c6b9"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "outputs": [],
+   "source": [
+    "# Remove all columns but name and gps\n",
+    "TotalList = TotalList[['name', 'gps', 'list']]"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:17:52.706405Z",
+     "start_time": "2023-11-07T01:17:52.577745Z"
+    }
+   },
+   "id": "72657779b4484aae"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "outputs": [],
+   "source": [
+    "# Convert the gps column to a list of lists for k-means\n",
+    "TotalList['gps'] = TotalList['gps'].apply(lambda x: x.strip('[]').split(','))\n",
+    "TotalList['gps'] = TotalList['gps'].apply(lambda x: [float(i) for i in x])"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:17:52.706689Z",
+     "start_time": "2023-11-07T01:17:52.581919Z"
+    }
+   },
+   "id": "a157ffaec020a29a"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "outputs": [
+    {
+     "data": {
+      "text/plain": "                          name                        gps list  \\\n0   521 Commercial Street #525  [42.3688272, -71.0553792]    A   \n1                     Acorn St  [42.3576234, -71.0688746]    A   \n2    Arlington's Great Meadows  [42.4299758, -71.2038948]    A   \n3        Arthur Fiedler Statue  [42.3565057, -71.0754527]    A   \n4                     BU Beach  [42.3511927, -71.1060828]    A   \n..                         ...                        ...  ...   \n33               The Quiet Few  [42.3670906, -71.0359889]    D   \n34        The Tall Ship Boston  [42.3649544, -71.0414523]    D   \n35               Toasted Flats  [42.3711266, -71.0371343]    D   \n36                 Vega Market   [42.3891835, -71.033703]    D   \n37        Winthrop High School  [42.3803348, -70.9799864]    D   \n\n                              normalized_gps  \n0   [0.7251058917247415, 0.7797482353989729]  \n1   [0.6747391031099019, 0.7451825969538083]  \n2                  [1.0, 0.3993566550776867]  \n3   [0.6697144722136962, 0.7283341725828262]  \n4   [0.6458298305822171, 0.6498815915448888]  \n..                                       ...  \n33   [0.717298990038831, 0.8294124246148072]  \n34  [0.7076956827824702, 0.8154190706511427]  \n35  [0.7354428661210094, 0.8264787225922622]  \n36  [0.8166178304491644, 0.8352672783369615]  \n37   [0.7768384161061446, 0.972851090162032]  \n\n[169 rows x 4 columns]",
+      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>name</th>\n      <th>gps</th>\n      <th>list</th>\n      <th>normalized_gps</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>521 Commercial Street #525</td>\n      <td>[42.3688272, -71.0553792]</td>\n      <td>A</td>\n      <td>[0.7251058917247415, 0.7797482353989729]</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>Acorn St</td>\n      <td>[42.3576234, -71.0688746]</td>\n      <td>A</td>\n      <td>[0.6747391031099019, 0.7451825969538083]</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>Arlington's Great Meadows</td>\n      <td>[42.4299758, -71.2038948]</td>\n      <td>A</td>\n      <td>[1.0, 0.3993566550776867]</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>Arthur Fiedler Statue</td>\n      <td>[42.3565057, -71.0754527]</td>\n      <td>A</td>\n      <td>[0.6697144722136962, 0.7283341725828262]</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>BU Beach</td>\n      <td>[42.3511927, -71.1060828]</td>\n      <td>A</td>\n      <td>[0.6458298305822171, 0.6498815915448888]</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>33</th>\n      <td>The Quiet Few</td>\n      <td>[42.3670906, -71.0359889]</td>\n      <td>D</td>\n      <td>[0.717298990038831, 0.8294124246148072]</td>\n    </tr>\n    <tr>\n      <th>34</th>\n      <td>The Tall Ship Boston</td>\n      <td>[42.3649544, -71.0414523]</td>\n      <td>D</td>\n      <td>[0.7076956827824702, 0.8154190706511427]</td>\n    </tr>\n    <tr>\n      <th>35</th>\n      <td>Toasted Flats</td>\n      <td>[42.3711266, -71.0371343]</td>\n      <td>D</td>\n      <td>[0.7354428661210094, 0.8264787225922622]</td>\n    </tr>\n    <tr>\n      <th>36</th>\n      <td>Vega Market</td>\n      <td>[42.3891835, -71.033703]</td>\n      <td>D</td>\n      <td>[0.8166178304491644, 0.8352672783369615]</td>\n    </tr>\n    <tr>\n      <th>37</th>\n      <td>Winthrop High School</td>\n      <td>[42.3803348, -70.9799864]</td>\n      <td>D</td>\n      <td>[0.7768384161061446, 0.972851090162032]</td>\n    </tr>\n  </tbody>\n</table>\n<p>169 rows × 4 columns</p>\n</div>"
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Create a new column with normalized gps coordinates and centroids\n",
+    "TotalList['normalized_gps'], norm_centroids = utils.normalize_gps(TotalList['gps'].values.tolist(), centroids)\n",
+    "display(TotalList)"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:17:52.707232Z",
+     "start_time": "2023-11-07T01:17:52.597329Z"
+    }
+   },
+   "id": "a03ebde91b87fa3b"
+  },
+  {
+   "cell_type": "markdown",
+   "source": [
+    "# 2 Routes"
+   ],
+   "metadata": {
+    "collapsed": false
+   },
+   "id": "4bd41be9aca5094b"
+  },
+  {
+   "cell_type": "markdown",
+   "source": [
+    "## Cluster and Minimize"
+   ],
+   "metadata": {
+    "collapsed": false
+   },
+   "id": "90d1d2f1a931597f"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/garrinshieh/anaconda3/lib/python3.11/site-packages/sklearn/cluster/_kmeans.py:1412: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
+      "  super()._check_params_vs_input(X, default_n_init=10)\n",
+      "/Users/garrinshieh/anaconda3/lib/python3.11/site-packages/sklearn/cluster/_kmeans.py:1412: RuntimeWarning: Explicit initial center position passed: performing only one init in KMeans instead of n_init=10.\n",
+      "  super()._check_params_vs_input(X, default_n_init=10)\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Cluster and minimize the data\n",
+    "norm_centroids_2 = norm_centroids[:2]\n",
+    "_, route_1_coordinates, route_2_coordinates = utils.cluster_and_minimize_2(TotalList, centroids, norm_centroids_2,\n",
+    "                                                                           northeastern_coordinate, 0.5, minimize=True)"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:18:19.800168Z",
+     "start_time": "2023-11-07T01:17:52.606044Z"
+    }
+   },
+   "id": "ee9b3c1ecb360976"
+  },
+  {
+   "cell_type": "markdown",
+   "source": [
+    "## Create JSON"
+   ],
+   "metadata": {
+    "collapsed": false
+   },
+   "id": "c85b8ef869e35006"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
    "outputs": [],
    "source": [
     "# Create a JSON request for the API\n",
     "# This is the data we want to get from the API\n",
-    "northeastern_coordinate = \"-71.09033,42.33976;\"\n",
-    "route_1 = '-71.2038948,42.4299758;-71.1060828,42.3511927;-71.0969274,42.3446263;-71.130887,42.35304;-71.1459593,42.3501823;-71.1460435,42.3495825;-71.1217152,42.3426377;-71.1258765,42.331864;-71.1095021,42.3364675;-71.133103,42.3890049;-71.1123834,42.3360385;-71.2273649,42.3145041;-71.0992038,42.3306454;-71.0990577,42.3381442;-71.0949218,42.3419564;-71.0942861,42.3413301;-71.0913583,42.3490205;-71.1000217,42.3323776;-71.1241295,42.3518397;-71.1618052,42.3245965;-71.1625829,42.340795;-71.167854,42.4107892;-71.155555,42.3317473;-71.1227278,42.3965778;-71.1126695,42.3836229;-71.119149,42.3884;-71.1427371,42.3433772;-71.1438455,42.3569102;-71.1313443,42.3525708;-71.1284677,42.3631904;-71.119301,42.388547;-71.097883,42.381008;-71.1107166,42.3741209;-71.1194344,42.3754427;-71.1013044,42.3627462;-71.1108423,42.3838224;-71.1026937,42.3820702;-71.1189467,42.373465;-71.1208817,42.3732344;-71.0968274,42.3799095;-71.094048,42.339381;-71.1854722,42.3621177;-71.1146697,42.3782386;-71.0935443,42.3817274;-71.0906355,42.3616095;-71.1161887,42.3766442;-71.0962734,42.3627993;-71.1155576,42.3784629;-71.0949101,42.3797674;-71.1087411,42.3640287;-71.09476,42.37736;-71.1014951,42.3614115;-71.1024769,42.3822934;-71.1011111,42.3636597;-71.0898829,42.3463992;-71.0983169,42.3319001'\n",
-    "route_2 = '-71.0553792,42.3688272;-71.0688746,42.3576234;-71.0754527,42.3565057;-71.0620802,42.3579151;-71.0586014,42.357357;-71.0572023,42.3587627;-71.0556268,42.36521;-71.0720926,42.3489004;-71.067859,42.3500079;-71.0632036,42.3556154;-71.0620134,42.3248471;-71.0851891,42.3500031;-71.066414,42.354296;-71.0834061,42.341987;-71.0569649,42.3604952;-71.0498714,42.3256817;-71.0908104,42.329969;-71.0616035,42.3537983;-71.0359433,42.3485465;-71.0638101,42.3587772;-71.0555003,42.3640137;-71.0712561,42.3407613;-71.0561781,42.3668968;-71.0664019,42.3554589;-71.059228,42.359349;-71.0668408,42.3524116;-71.0872846,42.2961434;-71.062146,42.366198;-71.0651214,42.3553972;-71.0596124,42.3509517;-71.0359354,42.3478381;-71.061757,42.3691906;-71.0609962,42.3803747;-71.0516339,42.3609921;-71.0809932,42.3675275;-71.0545357,42.3597994;-71.0342146,42.316274;-71.0756902,42.3695046;-71.0678704,42.3701829;-71.0656594,42.3718401;-71.0611749,42.3551807;-71.0554239,42.3739796;-71.0631664,42.3741694;-71.056823,42.361531;-71.0632852,42.2857047;-71.0637877,42.2845163;-71.0496839,42.3519736;-71.0454645,42.3162356;-71.0336324,42.3441918;-71.0487437,42.3508756;-71.0512911,42.3521821;-71.0013637,42.2075316;-71.0607764,42.3763541;-71.0374911,42.316031;-71.0125206,42.3378699;-71.0672898,42.3523158;-71.02832,42.2576602;-71.0502126,42.3516479;-71.0331956,42.3639107;-71.0432778,42.3528151;-71.0035279,42.2392354;-71.0470633,42.3537343;-71.0352443,42.3291218;-71.0240951,42.2743442;-71.0234949,42.3358743;-70.985881,42.420226;-71.0005483,42.2454086;-71.0096371,42.3367603;-71.0447796,42.3509709;-71.0092883,42.2763168;-71.0404428,42.3478375;-71.056908,42.361288;-71.0667744,42.3270498;-71.0119933,42.2806539'"
+    "route_1 = utils.list_to_string(route_1_coordinates)\n",
+    "route_2 = utils.list_to_string(route_2_coordinates)"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:23:16.774149Z",
-     "start_time": "2023-11-06T01:23:16.765417Z"
+     "end_time": "2023-11-07T01:18:19.807296Z",
+     "start_time": "2023-11-07T01:18:19.799849Z"
     }
    },
    "id": "aa618161182b5b07"
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 33,
    "outputs": [],
    "source": [
     "# Create a dataframe from the JSON\n",
-    "df1 = utils.create_json_df(northeastern_coordinate + route_1)\n",
-    "df2 = utils.create_json_df(northeastern_coordinate + route_2)"
+    "df1 = utils.create_json_df(route_1, utils.list_to_string([centroids[0]]), northeastern_coordinate)\n",
+    "df2 = utils.create_json_df(route_2, utils.list_to_string([centroids[1]]), northeastern_coordinate)"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:23:18.694403Z",
-     "start_time": "2023-11-06T01:23:16.768656Z"
+     "end_time": "2023-11-07T01:18:22.014184Z",
+     "start_time": "2023-11-07T01:18:19.803262Z"
     }
    },
    "id": "32c485788eedd94"
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 34,
    "outputs": [],
    "source": [
     "# Add columns for the route number\n",
@@ -73,47 +253,57 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:23:18.698699Z",
-     "start_time": "2023-11-06T01:23:18.696008Z"
+     "end_time": "2023-11-07T01:18:22.024878Z",
+     "start_time": "2023-11-07T01:18:22.017438Z"
     }
    },
    "id": "49dba1f17ca8337e"
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 35,
    "outputs": [
     {
      "data": {
-      "text/plain": "    waypoint_index  trips_index  \\\n0                0            0   \n17               1            0   \n22               2            0   \n73               3            0   \n11               4            0   \n..             ...          ...   \n3               70            0   \n12              71            0   \n9               72            0   \n8               73            0   \n14              74            0   \n\n                                                 hint   distance  \\\n0   DoUhgBeFIYCcAAAAJgAAAAAAAAARAAAAm0CKQdkZiEAAAA...   0.236958   \n17  5tYhgJHXIYAIAAAArQAAADwAAABCAQAAaRlbQD16mUGpAc...  17.374491   \n22  XAAigHIAIoBKAAAASwAAAFUAAABDAQAARGUEQURlBEG2ZR...  11.054154   \n73  CdQhgB0OA4AYAAAAHgAAADkAAAAAAAAALdMlQdSMQ0Fd0r...  10.970598   \n11  43YhgPN2IYA1AAAAJAAAAAAAAAA5AAAAEha0QWgpbEEAAA...  18.896385   \n..                                                ...        ...   \n3   jt4hgJLeIYA7AAAALQAAAAAAAAAAAAAA4gPGQasVlUEAAA...   4.709088   \n12  0OEhgPvhIYADAAAABgAAAA8AAAA0AAAA2lq-PipQFD-Y-N...   2.009578   \n9   m8shgJ7LIYAOAAAAXgEAAAAAAAAAAAAAOFW-QDE5G0IAAA...   1.716409   \n8   YQ0DgBTPIYDvAAAAdAAAAAAAAAAAAAAAsgLVQbMxTUEAAA...   4.830022   \n14  lhgDgIkYA4BkAAAAIgEAAFoBAAAaAAAAJyAzQWNrAEI8Ax...   7.134933   \n\n                      name                 location        lat        lon  \\\n0   Northeastern (Inbound)  [-71.090331, 42.339762] -71.090331  42.339762   \n17           Dudley Street  [-71.090904, 42.329829] -71.090904  42.329829   \n22                           [-71.071196, 42.34085] -71.071196  42.340850   \n73                          [-71.066844, 42.327134] -71.066844  42.327134   \n11             Lucy Street   [-71.06221, 42.324934] -71.062210  42.324934   \n..                     ...                      ...        ...        ...   \n3                           [-71.075414, 42.356537] -71.075414  42.356537   \n12                          [-71.085166, 42.349997] -71.085166  42.349997   \n9          Piedmont Street  [-71.067854, 42.349993] -71.067854  42.349993   \n8                           [-71.072038, 42.348915] -71.072038  42.348915   \n14                           [-71.083465, 42.34194] -71.083465  42.341940   \n\n    route  \n0       2  \n17      2  \n22      2  \n73      2  \n11      2  \n..    ...  \n3       2  \n12      2  \n9       2  \n8       2  \n14      2  \n\n[75 rows x 9 columns]",
-      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>waypoint_index</th>\n      <th>trips_index</th>\n      <th>hint</th>\n      <th>distance</th>\n      <th>name</th>\n      <th>location</th>\n      <th>lat</th>\n      <th>lon</th>\n      <th>route</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>0</td>\n      <td>0</td>\n      <td>DoUhgBeFIYCcAAAAJgAAAAAAAAARAAAAm0CKQdkZiEAAAA...</td>\n      <td>0.236958</td>\n      <td>Northeastern (Inbound)</td>\n      <td>[-71.090331, 42.339762]</td>\n      <td>-71.090331</td>\n      <td>42.339762</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>17</th>\n      <td>1</td>\n      <td>0</td>\n      <td>5tYhgJHXIYAIAAAArQAAADwAAABCAQAAaRlbQD16mUGpAc...</td>\n      <td>17.374491</td>\n      <td>Dudley Street</td>\n      <td>[-71.090904, 42.329829]</td>\n      <td>-71.090904</td>\n      <td>42.329829</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>22</th>\n      <td>2</td>\n      <td>0</td>\n      <td>XAAigHIAIoBKAAAASwAAAFUAAABDAQAARGUEQURlBEG2ZR...</td>\n      <td>11.054154</td>\n      <td></td>\n      <td>[-71.071196, 42.34085]</td>\n      <td>-71.071196</td>\n      <td>42.340850</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>73</th>\n      <td>3</td>\n      <td>0</td>\n      <td>CdQhgB0OA4AYAAAAHgAAADkAAAAAAAAALdMlQdSMQ0Fd0r...</td>\n      <td>10.970598</td>\n      <td></td>\n      <td>[-71.066844, 42.327134]</td>\n      <td>-71.066844</td>\n      <td>42.327134</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>11</th>\n      <td>4</td>\n      <td>0</td>\n      <td>43YhgPN2IYA1AAAAJAAAAAAAAAA5AAAAEha0QWgpbEEAAA...</td>\n      <td>18.896385</td>\n      <td>Lucy Street</td>\n      <td>[-71.06221, 42.324934]</td>\n      <td>-71.062210</td>\n      <td>42.324934</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>70</td>\n      <td>0</td>\n      <td>jt4hgJLeIYA7AAAALQAAAAAAAAAAAAAA4gPGQasVlUEAAA...</td>\n      <td>4.709088</td>\n      <td></td>\n      <td>[-71.075414, 42.356537]</td>\n      <td>-71.075414</td>\n      <td>42.356537</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>12</th>\n      <td>71</td>\n      <td>0</td>\n      <td>0OEhgPvhIYADAAAABgAAAA8AAAA0AAAA2lq-PipQFD-Y-N...</td>\n      <td>2.009578</td>\n      <td></td>\n      <td>[-71.085166, 42.349997]</td>\n      <td>-71.085166</td>\n      <td>42.349997</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>9</th>\n      <td>72</td>\n      <td>0</td>\n      <td>m8shgJ7LIYAOAAAAXgEAAAAAAAAAAAAAOFW-QDE5G0IAAA...</td>\n      <td>1.716409</td>\n      <td>Piedmont Street</td>\n      <td>[-71.067854, 42.349993]</td>\n      <td>-71.067854</td>\n      <td>42.349993</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>8</th>\n      <td>73</td>\n      <td>0</td>\n      <td>YQ0DgBTPIYDvAAAAdAAAAAAAAAAAAAAAsgLVQbMxTUEAAA...</td>\n      <td>4.830022</td>\n      <td></td>\n      <td>[-71.072038, 42.348915]</td>\n      <td>-71.072038</td>\n      <td>42.348915</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>14</th>\n      <td>74</td>\n      <td>0</td>\n      <td>lhgDgIkYA4BkAAAAIgEAAFoBAAAaAAAAJyAzQWNrAEI8Ax...</td>\n      <td>7.134933</td>\n      <td></td>\n      <td>[-71.083465, 42.34194]</td>\n      <td>-71.083465</td>\n      <td>42.341940</td>\n      <td>2</td>\n    </tr>\n  </tbody>\n</table>\n<p>75 rows × 9 columns</p>\n</div>"
+      "text/plain": "     waypoint_index  trips_index  \\\n0                 0            0   \n1                 1            0   \n2                 2            0   \n3                 3            0   \n4                 4            0   \n..              ...          ...   \n168              64            0   \n169              65            0   \n170              66            0   \n171              67            0   \n172              68            0   \n\n                                                  hint   distance  \\\n0    t4YsgAGHLIAAAAAAVQEAAAAAAAAwAAAAAAAAAHV0F0IAAA...  19.432511   \n1    IzYEgGw1BIASAAAArwAAADMAAACUAwAAynkIQGUkmkEXlL...   6.024489   \n2    G4gsgDiILICSAwAA5gAAAOkAAAAAAAAAQljLQnyXy0Fhy8...   2.602121   \n3    gIosgLaKLIDOAAAArgAAAFwBAAAAAAAAp3O3QafxmUEQiR...  15.458439   \n4    HpwsgCKcLIAAAAAAEgAAAAAAAAAAAAAAAAAAACg870AAAA...  39.201677   \n..                                                 ...        ...   \n168  cX8hgJF_IYA1AAAAMAAAAGcAAABOAAAATyWxQQ77nUEHMC...  22.776295   \n169  g38hgI1_IYBOAAAAfwAAAAAAAAAAAAAAZ4ECQsbEUkIAAA...  12.789906   \n170  e38hgIUAA4C6AgAAGQAAAAAAAAAAAAAA_DybQoNdJUEAAA...   6.310267   \n171  k4chgBiIIYAKAAAAFwAAAPQDAAB_AgAAHn2aP-biHUBi6e...  36.240351   \n172  DoUhgBeFIYCcAAAAJgAAAAAAAAARAAAAm0CKQdkZiEAAAA...   0.236958   \n\n                       name                 location        lat        lon  \\\n0                            [-71.054865, 42.364361] -71.054865  42.364361   \n1                            [-71.055569, 42.364032] -71.055569  42.364032   \n2                            [-71.056164, 42.366918] -71.056164  42.366918   \n3                            [-71.055561, 42.368861] -71.055561  42.368861   \n4                            [-71.062507, 42.365968] -71.062507  42.365968   \n..                      ...                      ...        ...        ...   \n168        Alleghany Street   [-71.099348, 42.33047] -71.099348  42.330470   \n169          Tremont Street  [-71.098267, 42.332009] -71.098267  42.332009   \n170           Carmel Street  [-71.100092, 42.332401] -71.100092  42.332401   \n171                          [-71.093834, 42.339096] -71.093834  42.339096   \n172  Northeastern (Inbound)  [-71.090331, 42.339762] -71.090331  42.339762   \n\n     route  \n0        1  \n1        1  \n2        1  \n3        1  \n4        1  \n..     ...  \n168      2  \n169      2  \n170      2  \n171      2  \n172      2  \n\n[173 rows x 9 columns]",
+      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>waypoint_index</th>\n      <th>trips_index</th>\n      <th>hint</th>\n      <th>distance</th>\n      <th>name</th>\n      <th>location</th>\n      <th>lat</th>\n      <th>lon</th>\n      <th>route</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>0</td>\n      <td>0</td>\n      <td>t4YsgAGHLIAAAAAAVQEAAAAAAAAwAAAAAAAAAHV0F0IAAA...</td>\n      <td>19.432511</td>\n      <td></td>\n      <td>[-71.054865, 42.364361]</td>\n      <td>-71.054865</td>\n      <td>42.364361</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>1</td>\n      <td>0</td>\n      <td>IzYEgGw1BIASAAAArwAAADMAAACUAwAAynkIQGUkmkEXlL...</td>\n      <td>6.024489</td>\n      <td></td>\n      <td>[-71.055569, 42.364032]</td>\n      <td>-71.055569</td>\n      <td>42.364032</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>2</td>\n      <td>0</td>\n      <td>G4gsgDiILICSAwAA5gAAAOkAAAAAAAAAQljLQnyXy0Fhy8...</td>\n      <td>2.602121</td>\n      <td></td>\n      <td>[-71.056164, 42.366918]</td>\n      <td>-71.056164</td>\n      <td>42.366918</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>3</td>\n      <td>0</td>\n      <td>gIosgLaKLIDOAAAArgAAAFwBAAAAAAAAp3O3QafxmUEQiR...</td>\n      <td>15.458439</td>\n      <td></td>\n      <td>[-71.055561, 42.368861]</td>\n      <td>-71.055561</td>\n      <td>42.368861</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>4</td>\n      <td>0</td>\n      <td>HpwsgCKcLIAAAAAAEgAAAAAAAAAAAAAAAAAAACg870AAAA...</td>\n      <td>39.201677</td>\n      <td></td>\n      <td>[-71.062507, 42.365968]</td>\n      <td>-71.062507</td>\n      <td>42.365968</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>168</th>\n      <td>64</td>\n      <td>0</td>\n      <td>cX8hgJF_IYA1AAAAMAAAAGcAAABOAAAATyWxQQ77nUEHMC...</td>\n      <td>22.776295</td>\n      <td>Alleghany Street</td>\n      <td>[-71.099348, 42.33047]</td>\n      <td>-71.099348</td>\n      <td>42.330470</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>169</th>\n      <td>65</td>\n      <td>0</td>\n      <td>g38hgI1_IYBOAAAAfwAAAAAAAAAAAAAAZ4ECQsbEUkIAAA...</td>\n      <td>12.789906</td>\n      <td>Tremont Street</td>\n      <td>[-71.098267, 42.332009]</td>\n      <td>-71.098267</td>\n      <td>42.332009</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>170</th>\n      <td>66</td>\n      <td>0</td>\n      <td>e38hgIUAA4C6AgAAGQAAAAAAAAAAAAAA_DybQoNdJUEAAA...</td>\n      <td>6.310267</td>\n      <td>Carmel Street</td>\n      <td>[-71.100092, 42.332401]</td>\n      <td>-71.100092</td>\n      <td>42.332401</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>171</th>\n      <td>67</td>\n      <td>0</td>\n      <td>k4chgBiIIYAKAAAAFwAAAPQDAAB_AgAAHn2aP-biHUBi6e...</td>\n      <td>36.240351</td>\n      <td></td>\n      <td>[-71.093834, 42.339096]</td>\n      <td>-71.093834</td>\n      <td>42.339096</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>172</th>\n      <td>68</td>\n      <td>0</td>\n      <td>DoUhgBeFIYCcAAAAJgAAAAAAAAARAAAAm0CKQdkZiEAAAA...</td>\n      <td>0.236958</td>\n      <td>Northeastern (Inbound)</td>\n      <td>[-71.090331, 42.339762]</td>\n      <td>-71.090331</td>\n      <td>42.339762</td>\n      <td>2</td>\n    </tr>\n  </tbody>\n</table>\n<p>173 rows × 9 columns</p>\n</div>"
      },
      "metadata": {},
      "output_type": "display_data"
     }
    ],
    "source": [
-    "display(df2)"
+    "display(df)"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:23:18.708601Z",
-     "start_time": "2023-11-06T01:23:18.705324Z"
+     "end_time": "2023-11-07T01:18:22.033944Z",
+     "start_time": "2023-11-07T01:18:22.026906Z"
     }
    },
    "id": "f231d9a35358988c"
   },
   {
+   "cell_type": "markdown",
+   "source": [
+    "## Map"
+   ],
+   "metadata": {
+    "collapsed": false
+   },
+   "id": "75be92e34a36147f"
+  },
+  {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 36,
    "outputs": [
     {
      "data": {
-      "text/plain": "<folium.folium.Map at 0x1277ac5d0>",
-      "text/html": "<div style=\"width:100%;\"><div style=\"position:relative;width:100%;height:0;padding-bottom:60%;\"><span style=\"color:#565656\">Make this Notebook Trusted to load map: File -> Trust Notebook</span><iframe srcdoc=\"&lt;!DOCTYPE html&gt;\n&lt;html&gt;\n&lt;head&gt;\n    \n    &lt;meta http-equiv=&quot;content-type&quot; content=&quot;text/html; charset=UTF-8&quot; /&gt;\n    \n        &lt;script&gt;\n            L_NO_TOUCH = false;\n            L_DISABLE_3D = false;\n        &lt;/script&gt;\n    \n    &lt;style&gt;html, body {width: 100%;height: 100%;margin: 0;padding: 0;}&lt;/style&gt;\n    &lt;style&gt;#map {position:absolute;top:0;bottom:0;right:0;left:0;}&lt;/style&gt;\n    &lt;script src=&quot;https://cdn.jsdelivr.net/npm/leaflet@1.9.3/dist/leaflet.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://code.jquery.com/jquery-1.12.4.min.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://cdn.jsdelivr.net/npm/bootstrap@5.2.2/dist/js/bootstrap.bundle.min.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.js&quot;&gt;&lt;/script&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/leaflet@1.9.3/dist/leaflet.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/bootstrap@5.2.2/dist/css/bootstrap.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://netdna.bootstrapcdn.com/bootstrap/3.0.0/css/bootstrap.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free@6.2.0/css/all.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/gh/python-visualization/folium/folium/templates/leaflet.awesome.rotate.min.css&quot;/&gt;\n    \n            &lt;meta name=&quot;viewport&quot; content=&quot;width=device-width,\n                initial-scale=1.0, maximum-scale=1.0, user-scalable=no&quot; /&gt;\n            &lt;style&gt;\n                #map_aeeac5a1da4c82f72a6ebc2ad6ef0a4f {\n                    position: relative;\n                    width: 100.0%;\n                    height: 100.0%;\n                    left: 0.0%;\n                    top: 0.0%;\n                }\n                .leaflet-container { font-size: 1rem; }\n            &lt;/style&gt;\n        \n&lt;/head&gt;\n&lt;body&gt;\n    \n    \n            &lt;div class=&quot;folium-map&quot; id=&quot;map_aeeac5a1da4c82f72a6ebc2ad6ef0a4f&quot; &gt;&lt;/div&gt;\n        \n&lt;/body&gt;\n&lt;script&gt;\n    \n    \n            var map_aeeac5a1da4c82f72a6ebc2ad6ef0a4f = L.map(\n                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      },
-     "execution_count": 15,
+     "execution_count": 36,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -127,9 +317,10 @@
     "\n",
     "for route in df['route'].unique():\n",
     "    df_route = df[df['route'] == route]\n",
-    "    folium.PolyLine(df_route[['lon', 'lat']].values.tolist(), color=colors[route-1]).add_to(m)\n",
+    "    folium.PolyLine(df_route[['lon', 'lat']].values.tolist(), color=colors[route - 1]).add_to(m)\n",
     "    for i in range(len(df_route)):\n",
-    "        folium.CircleMarker(df_route[['lon', 'lat']].iloc[i].values.tolist(), radius=3, color=colors[route-1]).add_to(m)\n",
+    "        folium.CircleMarker(df_route[['lon', 'lat']].iloc[i].values.tolist(), radius=3, color=colors[route - 1]).add_to(\n",
+    "            m)\n",
     "\n",
     "# Display the map\n",
     "m"
@@ -137,104 +328,358 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:23:18.781393Z",
-     "start_time": "2023-11-06T01:23:18.709803Z"
+     "end_time": "2023-11-07T01:18:22.118478Z",
+     "start_time": "2023-11-07T01:18:22.036338Z"
     }
    },
    "id": "80fd847da2833913"
   },
   {
+   "cell_type": "markdown",
+   "source": [
+    "## Results"
+   ],
+   "metadata": {
+    "collapsed": false
+   },
+   "id": "a7b562f75f7e0813"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 37,
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Route 1 has 102 waypoints\n",
+      "Route 2 has 67 waypoints\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Get the number of waypoints for each route\n",
+    "route_1_waypoints = len(route_1_coordinates)\n",
+    "route_2_waypoints = len(route_2_coordinates)\n",
+    "print(\"Route 1 has {} waypoints\".format(route_1_waypoints))\n",
+    "print(\"Route 2 has {} waypoints\".format(route_2_waypoints))"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:18:22.120347Z",
+     "start_time": "2023-11-07T01:18:22.104950Z"
+    }
+   },
+   "id": "f53c97acec1c2fc4"
+  },
+  {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 38,
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "The trip will take 6.789722222222222 hours\n",
-      "The trip will take 9.955833333333333 hours\n"
+      "The trip will take 12.788333333333334 hours\n",
+      "The trip will take 13.1675 hours\n"
      ]
     }
    ],
    "source": [
-    "trip_hrs_1 = utils.get_trip_time(route_1)\n",
+    "trip_hrs_1 = utils.get_trip_time(route_1, route_1_waypoints, utils.list_to_string([centroids[0]]),\n",
+    "                                 northeastern_coordinate)\n",
     "print(\"The trip will take {} hours\".format(trip_hrs_1))\n",
-    "trip_hrs_2 = utils.get_trip_time(route_2)\n",
+    "trip_hrs_2 = utils.get_trip_time(route_2, route_2_waypoints, utils.list_to_string([centroids[1]]),\n",
+    "                                 northeastern_coordinate)\n",
     "print(\"The trip will take {} hours\".format(trip_hrs_2))"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:23:20.448487Z",
-     "start_time": "2023-11-06T01:23:18.761079Z"
+     "end_time": "2023-11-07T01:18:24.705352Z",
+     "start_time": "2023-11-07T01:18:22.107540Z"
     }
    },
    "id": "a3ec09dfb5cbb5b3"
   },
   {
+   "cell_type": "markdown",
+   "source": [
+    "# 3 Routes"
+   ],
+   "metadata": {
+    "collapsed": false
+   },
+   "id": "de7b5856172d213c"
+  },
+  {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 47,
    "outputs": [
     {
-     "name": "stdout",
+     "name": "stderr",
      "output_type": "stream",
      "text": [
-      "    waypoint_index  trips_index  \\\n",
-      "20              20            0   \n",
-      "\n",
-      "                                                 hint  distance         name  \\\n",
-      "20  2M4pgNrOKYCCAQAADAAAAAAAAAAAAAAALKILQ27Ah0AAAA...       0.0  Echo Bridge   \n",
-      "\n",
-      "                   location        lat        lon  route  \n",
-      "20  [-71.227365, 42.314504] -71.227365  42.314504      1  \n"
+      "/Users/garrinshieh/anaconda3/lib/python3.11/site-packages/sklearn/cluster/_kmeans.py:1412: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
+      "  super()._check_params_vs_input(X, default_n_init=10)\n",
+      "/Users/garrinshieh/anaconda3/lib/python3.11/site-packages/sklearn/cluster/_kmeans.py:1412: RuntimeWarning: Explicit initial center position passed: performing only one init in KMeans instead of n_init=10.\n",
+      "  super()._check_params_vs_input(X, default_n_init=10)\n"
      ]
     }
    ],
    "source": [
-    "# Find the westmost point in Route 1\n",
-    "df1 = df[df['route'] == 1]\n",
-    "west = df1[df1['lon'] == df1['lon'].min()]\n",
-    "print(west)"
+    "# Cluster and minimize the data\n",
+    "_, route_1_coordinates, route_2_coordinates, route_3_coordinates = utils.cluster_and_minimize_3(TotalList, centroids,\n",
+    "                                                                                               norm_centroids,\n",
+    "                                                                                               northeastern_coordinate,\n",
+    "                                                                                               0.2, minimize=True)"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:23:20.455714Z",
-     "start_time": "2023-11-06T01:23:20.453647Z"
+     "end_time": "2023-11-07T01:22:14.864605Z",
+     "start_time": "2023-11-07T01:21:59.518900Z"
     }
    },
-   "id": "be94c3708a1bd250"
+   "id": "bb6e00857e8175c0"
+  },
+  {
+   "cell_type": "markdown",
+   "source": [
+    "## Create JSON"
+   ],
+   "metadata": {
+    "collapsed": false
+   },
+   "id": "19afb4f687b37383"
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 48,
    "outputs": [],
    "source": [
-    "# Remove the westmost point from Route 1\n",
-    "df = df.drop(west.index)"
+    "# Create a JSON request for the API\n",
+    "# This is the data we want to get from the API\n",
+    "route_1 = utils.list_to_string(route_1_coordinates)\n",
+    "route_2 = utils.list_to_string(route_2_coordinates)\n",
+    "route_3 = utils.list_to_string(route_3_coordinates)"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:22:16.725390Z",
+     "start_time": "2023-11-07T01:22:16.722334Z"
+    }
+   },
+   "id": "e886e061f86a2118"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 49,
+   "outputs": [],
+   "source": [
+    "# Create a dataframe from the JSON\n",
+    "df1 = utils.create_json_df(route_1, utils.list_to_string([centroids[0]]), northeastern_coordinate)\n",
+    "df2 = utils.create_json_df(route_2, utils.list_to_string([centroids[1]]), northeastern_coordinate)\n",
+    "df3 = utils.create_json_df(route_3, utils.list_to_string([centroids[2]]), northeastern_coordinate)"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:22:19.351381Z",
+     "start_time": "2023-11-07T01:22:17.034813Z"
+    }
+   },
+   "id": "23e4682fe9e30631"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 50,
+   "outputs": [],
+   "source": [
+    "# Add columns for the route number\n",
+    "df1['route'] = 1\n",
+    "df2['route'] = 2\n",
+    "df3['route'] = 3\n",
+    "\n",
+    "# Concatenate the three dataframes\n",
+    "df = pd.concat([df1, df2, df3], ignore_index=True)"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:22:19.360710Z",
+     "start_time": "2023-11-07T01:22:19.355746Z"
+    }
+   },
+   "id": "c3a5c5d6f3ac46c0"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 51,
+   "outputs": [
+    {
+     "data": {
+      "text/plain": "     waypoint_index  trips_index  \\\n0                 0            0   \n1                 1            0   \n2                 2            0   \n3                 3            0   \n4                 4            0   \n..              ...          ...   \n170              29            0   \n171              30            0   \n172              31            0   \n173              32            0   \n174              33            0   \n\n                                                  hint   distance  \\\n0    t4YsgAGHLIAAAAAAVQEAAAAAAAAwAAAAAAAAAHV0F0IAAA...  19.432511   \n1    e1kugJlZLoBmAAAA6QAAAAAAAAAAAAAAZ6M2QSewzkEAAA...   4.756158   \n2    tFkugHVaLoAOAAAAAAAAABgAAAAAAAAAwMG2QAAAAAB6ii...   4.525535   \n3    sJAugLOQLoBuAQAAlAEAAAAAAAAAAAAAHFcjQvEZM0IAAA...   7.844897   \n4    VREtgNlJBIBCAAAAYAAAAAAAAAARAAAAOOzeQU7vHkIAAA...  22.681980   \n..                                                 ...        ...   \n170  gLshgIS7IYAAAAAAPAAAAAAAAAAAAAAAAAAAAPGU1UAAAA...  10.782119   \n171  e38hgIUAA4C6AgAAGQAAAAAAAAAAAAAA_DybQoNdJUEAAA...   6.310267   \n172  cX8hgJF_IYA1AAAAMAAAAGcAAABOAAAATyWxQQ77nUEHMC...  22.776295   \n173  s9QhgLbUIYAwAAAAkAAAAAAAAAAAAAAA2XmpQNgrgEEAAA...   4.111715   \n174  DoUhgBeFIYCcAAAAJgAAAAAAAAARAAAAm0CKQdkZiEAAAA...   0.236958   \n\n                       name                 location        lat        lon  \\\n0                            [-71.054865, 42.364361] -71.054865  42.364361   \n1                            [-71.060933, 42.376178] -71.060933  42.376178   \n2                            [-71.060753, 42.376391] -71.060753  42.376391   \n3                            [-71.060948, 42.380436] -71.060948  42.380436   \n4            Factory Street  [-71.061206, 42.398809] -71.061206  42.398809   \n..                      ...                      ...        ...        ...   \n170                           [-71.10963, 42.336448] -71.109630  42.336448   \n171           Carmel Street  [-71.100092, 42.332401] -71.100092  42.332401   \n172        Alleghany Street   [-71.099348, 42.33047] -71.099348  42.330470   \n173                           [-71.09454, 42.325354] -71.094540  42.325354   \n174  Northeastern (Inbound)  [-71.090331, 42.339762] -71.090331  42.339762   \n\n     route  \n0        1  \n1        1  \n2        1  \n3        1  \n4        1  \n..     ...  \n170      3  \n171      3  \n172      3  \n173      3  \n174      3  \n\n[175 rows x 9 columns]",
+      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>waypoint_index</th>\n      <th>trips_index</th>\n      <th>hint</th>\n      <th>distance</th>\n      <th>name</th>\n      <th>location</th>\n      <th>lat</th>\n      <th>lon</th>\n      <th>route</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>0</td>\n      <td>0</td>\n      <td>t4YsgAGHLIAAAAAAVQEAAAAAAAAwAAAAAAAAAHV0F0IAAA...</td>\n      <td>19.432511</td>\n      <td></td>\n      <td>[-71.054865, 42.364361]</td>\n      <td>-71.054865</td>\n      <td>42.364361</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>1</td>\n      <td>0</td>\n      <td>e1kugJlZLoBmAAAA6QAAAAAAAAAAAAAAZ6M2QSewzkEAAA...</td>\n      <td>4.756158</td>\n      <td></td>\n      <td>[-71.060933, 42.376178]</td>\n      <td>-71.060933</td>\n      <td>42.376178</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>2</td>\n      <td>0</td>\n      <td>tFkugHVaLoAOAAAAAAAAABgAAAAAAAAAwMG2QAAAAAB6ii...</td>\n      <td>4.525535</td>\n      <td></td>\n      <td>[-71.060753, 42.376391]</td>\n      <td>-71.060753</td>\n      <td>42.376391</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>3</td>\n      <td>0</td>\n      <td>sJAugLOQLoBuAQAAlAEAAAAAAAAAAAAAHFcjQvEZM0IAAA...</td>\n      <td>7.844897</td>\n      <td></td>\n      <td>[-71.060948, 42.380436]</td>\n      <td>-71.060948</td>\n      <td>42.380436</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>4</td>\n      <td>0</td>\n      <td>VREtgNlJBIBCAAAAYAAAAAAAAAARAAAAOOzeQU7vHkIAAA...</td>\n      <td>22.681980</td>\n      <td>Factory Street</td>\n      <td>[-71.061206, 42.398809]</td>\n      <td>-71.061206</td>\n      <td>42.398809</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>170</th>\n      <td>29</td>\n      <td>0</td>\n      <td>gLshgIS7IYAAAAAAPAAAAAAAAAAAAAAAAAAAAPGU1UAAAA...</td>\n      <td>10.782119</td>\n      <td></td>\n      <td>[-71.10963, 42.336448]</td>\n      <td>-71.109630</td>\n      <td>42.336448</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>171</th>\n      <td>30</td>\n      <td>0</td>\n      <td>e38hgIUAA4C6AgAAGQAAAAAAAAAAAAAA_DybQoNdJUEAAA...</td>\n      <td>6.310267</td>\n      <td>Carmel Street</td>\n      <td>[-71.100092, 42.332401]</td>\n      <td>-71.100092</td>\n      <td>42.332401</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>172</th>\n      <td>31</td>\n      <td>0</td>\n      <td>cX8hgJF_IYA1AAAAMAAAAGcAAABOAAAATyWxQQ77nUEHMC...</td>\n      <td>22.776295</td>\n      <td>Alleghany Street</td>\n      <td>[-71.099348, 42.33047]</td>\n      <td>-71.099348</td>\n      <td>42.330470</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>173</th>\n      <td>32</td>\n      <td>0</td>\n      <td>s9QhgLbUIYAwAAAAkAAAAAAAAAAAAAAA2XmpQNgrgEEAAA...</td>\n      <td>4.111715</td>\n      <td></td>\n      <td>[-71.09454, 42.325354]</td>\n      <td>-71.094540</td>\n      <td>42.325354</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>174</th>\n      <td>33</td>\n      <td>0</td>\n      <td>DoUhgBeFIYCcAAAAJgAAAAAAAAARAAAAm0CKQdkZiEAAAA...</td>\n      <td>0.236958</td>\n      <td>Northeastern (Inbound)</td>\n      <td>[-71.090331, 42.339762]</td>\n      <td>-71.090331</td>\n      <td>42.339762</td>\n      <td>3</td>\n    </tr>\n  </tbody>\n</table>\n<p>175 rows × 9 columns</p>\n</div>"
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "display(df)"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:22:19.375055Z",
+     "start_time": "2023-11-07T01:22:19.364517Z"
+    }
+   },
+   "id": "17a8cc8fed5450a6"
+  },
+  {
+   "cell_type": "markdown",
+   "source": [
+    "## Map"
+   ],
+   "metadata": {
+    "collapsed": false
+   },
+   "id": "b20a57aa09792c39"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 52,
+   "outputs": [
+    {
+     "data": {
+      "text/plain": "<folium.folium.Map at 0x12109f6d0>",
+      "text/html": "<div style=\"width:100%;\"><div style=\"position:relative;width:100%;height:0;padding-bottom:60%;\"><span style=\"color:#565656\">Make this Notebook Trusted to load map: File -> Trust Notebook</span><iframe srcdoc=\"&lt;!DOCTYPE html&gt;\n&lt;html&gt;\n&lt;head&gt;\n    \n    &lt;meta http-equiv=&quot;content-type&quot; content=&quot;text/html; charset=UTF-8&quot; /&gt;\n    \n        &lt;script&gt;\n            L_NO_TOUCH = false;\n            L_DISABLE_3D = false;\n        &lt;/script&gt;\n    \n    &lt;style&gt;html, body {width: 100%;height: 100%;margin: 0;padding: 0;}&lt;/style&gt;\n    &lt;style&gt;#map {position:absolute;top:0;bottom:0;right:0;left:0;}&lt;/style&gt;\n    &lt;script src=&quot;https://cdn.jsdelivr.net/npm/leaflet@1.9.3/dist/leaflet.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://code.jquery.com/jquery-1.12.4.min.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://cdn.jsdelivr.net/npm/bootstrap@5.2.2/dist/js/bootstrap.bundle.min.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.js&quot;&gt;&lt;/script&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/leaflet@1.9.3/dist/leaflet.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/bootstrap@5.2.2/dist/css/bootstrap.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://netdna.bootstrapcdn.com/bootstrap/3.0.0/css/bootstrap.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free@6.2.0/css/all.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/gh/python-visualization/folium/folium/templates/leaflet.awesome.rotate.min.css&quot;/&gt;\n    \n            &lt;meta name=&quot;viewport&quot; content=&quot;width=device-width,\n                initial-scale=1.0, maximum-scale=1.0, user-scalable=no&quot; /&gt;\n            &lt;style&gt;\n                #map_893e4460b48d10a1df1dd6cc61e39573 {\n                    position: relative;\n                    width: 100.0%;\n                    height: 100.0%;\n                    left: 0.0%;\n                    top: 0.0%;\n                }\n                .leaflet-container { font-size: 1rem; }\n            &lt;/style&gt;\n        \n&lt;/head&gt;\n&lt;body&gt;\n    \n    \n            &lt;div class=&quot;folium-map&quot; id=&quot;map_893e4460b48d10a1df1dd6cc61e39573&quot; &gt;&lt;/div&gt;\n        \n&lt;/body&gt;\n&lt;script&gt;\n    \n    \n            var map_893e4460b48d10a1df1dd6cc61e39573 = L.map(\n                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&quot;fillRule&quot;: &quot;evenodd&quot;, &quot;lineCap&quot;: &quot;round&quot;, &quot;lineJoin&quot;: &quot;round&quot;, &quot;noClip&quot;: false, &quot;opacity&quot;: 1.0, &quot;smoothFactor&quot;: 1.0, &quot;stroke&quot;: true, &quot;weight&quot;: 3}\n            ).addTo(map_893e4460b48d10a1df1dd6cc61e39573);\n        \n    \n            var circle_marker_1d1e954a2f6254a1cb3ecb5341f06db2 = L.circleMarker(\n                [42.364361, -71.054865],\n                {&quot;bubblingMouseEvents&quot;: true, &quot;color&quot;: &quot;red&quot;, &quot;dashArray&quot;: null, &quot;dashOffset&quot;: null, &quot;fill&quot;: false, &quot;fillColor&quot;: &quot;red&quot;, &quot;fillOpacity&quot;: 0.2, &quot;fillRule&quot;: &quot;evenodd&quot;, &quot;lineCap&quot;: &quot;round&quot;, &quot;lineJoin&quot;: &quot;round&quot;, &quot;opacity&quot;: 1.0, &quot;radius&quot;: 3, &quot;stroke&quot;: true, &quot;weight&quot;: 3}\n            ).addTo(map_893e4460b48d10a1df1dd6cc61e39573);\n        \n    \n            var circle_marker_1e10ef0e8cecfe86094ecf4c7e31c8ec = L.circleMarker(\n                [42.376178, -71.060933],\n                {&quot;bubblingMouseEvents&quot;: true, &quot;color&quot;: &quot;red&quot;, &quot;dashArray&quot;: null, &quot;dashOffset&quot;: null, &quot;fill&quot;: false, &quot;fillColor&quot;: &quot;red&quot;, &quot;fillOpacity&quot;: 0.2, &quot;fillRule&quot;: &quot;evenodd&quot;, &quot;lineCap&quot;: &quot;round&quot;, &quot;lineJoin&quot;: &quot;round&quot;, &quot;opacity&quot;: 1.0, &quot;radius&quot;: 3, &quot;stroke&quot;: true, &quot;weight&quot;: 3}\n            ).addTo(map_893e4460b48d10a1df1dd6cc61e39573);\n        \n    \n            var circle_marker_bce0620cfff48eb606b529336c9a84c8 = L.circleMarker(\n                [42.376391, -71.060753],\n                {&quot;bubblingMouseEvents&quot;: true, &quot;color&quot;: &quot;red&quot;, &quot;dashArray&quot;: null, &quot;dashOffset&quot;: null, &quot;fill&quot;: false, &quot;fillColor&quot;: 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+     },
+     "execution_count": 52,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# Create a map\n",
+    "m = folium.Map(location=[df['lon'].mean(), df['lat'].mean()], zoom_start=11)\n",
+    "\n",
+    "# Add the points and lines for the three routes with different colors\n",
+    "colors = ['red', 'blue', 'green']\n",
+    "\n",
+    "for route in df['route'].unique():\n",
+    "    df_route = df[df['route'] == route]\n",
+    "    folium.PolyLine(df_route[['lon', 'lat']].values.tolist(), color=colors[route - 1]).add_to(m)\n",
+    "    for i in range(len(df_route)):\n",
+    "        folium.CircleMarker(df_route[['lon', 'lat']].iloc[i].values.tolist(), radius=3, color=colors[route - 1]).add_to(\n",
+    "            m)\n",
+    "        \n",
+    "# Display the map\n",
+    "m"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:22:20.246243Z",
+     "start_time": "2023-11-07T01:22:20.167900Z"
+    }
+   },
+   "id": "702adaec008a6ec8"
+  },
+  {
+   "cell_type": "markdown",
+   "source": [
+    "## Results"
+   ],
+   "metadata": {
+    "collapsed": false
+   },
+   "id": "a947e49e27c734e9"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 53,
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Route 1 has 57 waypoints\n",
+      "Route 2 has 80 waypoints\n",
+      "Route 3 has 32 waypoints\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Get the number of waypoints for each route\n",
+    "route_1_waypoints = len(route_1_coordinates)\n",
+    "route_2_waypoints = len(route_2_coordinates)\n",
+    "route_3_waypoints = len(route_3_coordinates)\n",
+    "print(\"Route 1 has {} waypoints\".format(route_1_waypoints))\n",
+    "print(\"Route 2 has {} waypoints\".format(route_2_waypoints))\n",
+    "print(\"Route 3 has {} waypoints\".format(route_3_waypoints))"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-11-07T01:22:21.994911Z",
+     "start_time": "2023-11-07T01:22:21.992304Z"
+    }
+   },
+   "id": "4106acf2adad01d7"
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 54,
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The trip will take 9.175 hours\n",
+      "The trip will take 9.341111111111111 hours\n",
+      "The trip will take 9.398333333333333 hours\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Get the trip time for each route\n",
+    "trip_hrs_1 = utils.get_trip_time(route_1, route_1_waypoints, utils.list_to_string([centroids[0]]),\n",
+    "                                 northeastern_coordinate)\n",
+    "print(\"The trip will take {} hours\".format(trip_hrs_1))\n",
+    "trip_hrs_2 = utils.get_trip_time(route_2, route_2_waypoints, utils.list_to_string([centroids[1]]),\n",
+    "                                 northeastern_coordinate)\n",
+    "print(\"The trip will take {} hours\".format(trip_hrs_2))\n",
+    "trip_hrs_3 = utils.get_trip_time(route_3, route_3_waypoints, utils.list_to_string([centroids[2]]),\n",
+    "                                 northeastern_coordinate)\n",
+    "print(\"The trip will take {} hours\".format(trip_hrs_3))"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:23:20.460791Z",
-     "start_time": "2023-11-06T01:23:20.456599Z"
+     "end_time": "2023-11-07T01:22:25.544575Z",
+     "start_time": "2023-11-07T01:22:23.206069Z"
     }
    },
-   "id": "21fef07e5b2a03a0"
+   "id": "c58106faf0fc7f4e"
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 46,
    "outputs": [],
    "source": [],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-11-06T01:23:20.460900Z",
-     "start_time": "2023-11-06T01:23:20.458522Z"
+     "end_time": "2023-11-07T01:18:42.067793Z",
+     "start_time": "2023-11-07T01:18:42.056069Z"
     }
    },
-   "id": "eafe5678c44e94fd"
+   "id": "a2f10e3152b95a69"
   }
  ],
  "metadata": {
diff --git a/utils.py b/utils.py
index 880dd2a..2898b3d 100644
--- a/utils.py
+++ b/utils.py
@@ -1,9 +1,209 @@
 import folium
+import numpy as np
 import pandas as pd
 import requests
+from sklearn.cluster import KMeans
+
+
+# Given a dataframe of coordinates and centroids, cluster the coordinates, minimize the time difference, and return the routes
+def cluster_and_minimize_2(df, centroids, norm_centroids, end, time_diff, minimize=True, n=2):
+    # Cluster the coordinates
+    kmeans = KMeans(n_clusters=len(norm_centroids), init=norm_centroids)
+
+    # Fit the coordinates to the clusters
+    kmeans.fit(df['normalized_gps'].values.tolist())
+
+    # Add the cluster labels to the dataframe
+    df['cluster'] = kmeans.labels_
+
+    # Create centroid strings
+    centroid_1 = list_to_string([centroids[0]])
+    centroid_2 = list_to_string([centroids[1]])
+
+    # Return the list of locations in each cluster
+    route_1 = df[df['cluster'] == 0]
+    route_1_stops = len(route_1['gps'].values.tolist())
+    route_1_str = list_to_string(route_1['gps'].values.tolist())
+
+    route_2 = df[df['cluster'] == 1]
+    route_2_stops = len(route_2['gps'].values.tolist())
+    route_2_str = list_to_string(route_2['gps'].values.tolist())
+
+    # Get the trip time for each route
+    trip_hrs_1 = get_trip_time(route_1_str, route_1_stops, centroid_1, end)
+    trip_hrs_2 = get_trip_time(route_2_str, route_2_stops, centroid_2, end)
+
+    if minimize:
+        # if the absolute value of the difference in trip times is greater than the time difference, minimize the time difference
+        if abs(trip_hrs_1 - trip_hrs_2) > time_diff:
+            route_1_coordinates, route_2_coordinates = minimize_route_time_diff(route_1['gps'].values.tolist(),
+                                                                                route_2['gps'].values.tolist(),
+                                                                                centroid_1, centroid_2, end, time_diff,
+                                                                                n=n)
+        else:
+            route_1_coordinates = route_1['gps'].values.tolist()
+            route_2_coordinates = route_2['gps'].values.tolist()
+    else:
+        route_1_coordinates = route_1['gps'].values.tolist()
+        route_2_coordinates = route_2['gps'].values.tolist()
+
+    # Edit the dataframe to reflect the new coordinate clusters
+    df.loc[df['gps'].astype(str).isin(map(str, route_1_coordinates)), 'cluster'] = 0
+    df.loc[df['gps'].astype(str).isin(map(str, route_2_coordinates)), 'cluster'] = 1
+
+    return df, route_1_coordinates, route_2_coordinates
+
+
+def minimize_route_time_diff(route_1_coordinates, route_2_coordinates, route_1_start, route_2_start, end,
+                             time_diff, n):
+    """
+    Takes two routes and a time difference and returns a route that is the same length as the shorter route but has a time difference that is less than the time difference
+    """
+    # Find the difference in time between the two routes
+    route_1_time = get_trip_time(list_to_string(route_1_coordinates),
+                                 len(route_1_coordinates), route_1_start, end)
+    route_2_time = get_trip_time(list_to_string(route_2_coordinates),
+                                 len(route_2_coordinates), route_2_start, end)
+    route_time_diff = abs(route_1_time - route_2_time)
+
+    # If the difference in time is greater than the time difference, move the closest coordinate from the longer route to the shorter route
+    if route_time_diff > time_diff:
+        # Find which route is longer
+        if route_1_time > route_2_time:
+            longer_route = route_1_coordinates
+            shorter_route = route_2_coordinates
+
+            for i in range(n):
+                # Move the closest coordinate from the longer route to the shorter route
+                closest_coordinate = move_coordinate(longer_route, shorter_route)
+                longer_route.remove(closest_coordinate)
+                shorter_route.append(closest_coordinate)
+
+            # Recursively call the function
+            return minimize_route_time_diff(longer_route, shorter_route, route_1_start, route_2_start, end,
+                                            time_diff, n)
+
+        else:
+            longer_route = route_2_coordinates
+            shorter_route = route_1_coordinates
+
+            for i in range(n):
+                # Move the closest coordinate from the longer route to the shorter route
+                closest_coordinate = move_coordinate(longer_route, shorter_route)
+                longer_route.remove(closest_coordinate)
+                shorter_route.append(closest_coordinate)
+
+            # Recursively call the function
+            return minimize_route_time_diff(shorter_route, longer_route, route_1_start, route_2_start, end,
+                                            time_diff, n)
+
+    # If the difference in time is less than the time difference, return the routes
+    return route_1_coordinates, route_2_coordinates
+
+
+# Create a function to minimize the time difference between three routes
+def cluster_and_minimize_3(df, centroids, norm_centroids, end, time_diff, minimize=True, n=2):
+    # Cluster the coordinates
+    kmeans = KMeans(n_clusters=len(norm_centroids), init=norm_centroids)
+
+    # Fit the coordinates to the clusters
+    kmeans.fit(df['normalized_gps'].values.tolist())
+
+    # Add the cluster labels to the dataframe
+    df['cluster'] = kmeans.labels_
+
+    # Create centroid strings
+    centroid_1 = list_to_string([centroids[0]])
+    centroid_2 = list_to_string([centroids[1]])
+    centroid_3 = list_to_string([centroids[2]])
+
+    # Return the list of locations in each cluster
+    route_1 = df[df['cluster'] == 0]
+    route_1_stops = len(route_1['gps'].values.tolist())
+    route_1_str = list_to_string(route_1['gps'].values.tolist())
+
+    route_2 = df[df['cluster'] == 1]
+    route_2_stops = len(route_2['gps'].values.tolist())
+    route_2_str = list_to_string(route_2['gps'].values.tolist())
+
+    route_3 = df[df['cluster'] == 2]
+    route_3_stops = len(route_3['gps'].values.tolist())
+    route_3_str = list_to_string(route_3['gps'].values.tolist())
+
+    # Get the trip time for each route
+    trip_hrs_1 = get_trip_time(route_1_str, route_1_stops, centroid_1, end)
+    trip_hrs_2 = get_trip_time(route_2_str, route_2_stops, centroid_2, end)
+    trip_hrs_3 = get_trip_time(route_3_str, route_3_stops, centroid_3, end)
+
+    average_time = (trip_hrs_1 + trip_hrs_2 + trip_hrs_3) / 3
+
+    times = [trip_hrs_1, trip_hrs_2, trip_hrs_3]
+    routes = [route_1_str, route_2_str, route_3_str]
+
+    sorted_indices = np.argsort(times)
+
+    if minimize:
+        # if the absolute value of the difference in trip times is greater than the time difference, minimize the time difference
+        if times[sorted_indices[2]] - average_time > time_diff:
+            route_1_coordinates, route_2_coordinates, route_3_coordinates = minimize_route_time_diff_3(
+                route_1['gps'].values.tolist(),
+                route_2['gps'].values.tolist(),
+                route_3['gps'].values.tolist(),
+                centroid_1, centroid_2, centroid_3, end, time_diff,
+                n=n)
+        else:
+            route_1_coordinates = route_1['gps'].values.tolist()
+            route_2_coordinates = route_2['gps'].values.tolist()
+            route_3_coordinates = route_3['gps'].values.tolist()
+    else:
+        route_1_coordinates = route_1['gps'].values.tolist()
+        route_2_coordinates = route_2['gps'].values.tolist()
+        route_3_coordinates = route_3['gps'].values.tolist()
+
+    # Edit the dataframe to reflect the new coordinate clusters
+    df.loc[df['gps'].astype(str).isin(map(str, route_1_coordinates)), 'cluster'] = 0
+    df.loc[df['gps'].astype(str).isin(map(str, route_2_coordinates)), 'cluster'] = 1
+    df.loc[df['gps'].astype(str).isin(map(str, route_3_coordinates)), 'cluster'] = 2
+
+    return df, route_1_coordinates, route_2_coordinates, route_3_coordinates
+
+
+def minimize_route_time_diff_3(route_1_coordinates, route_2_coordinates, route_3_coordinates,
+                               route_1_start, route_2_start, route_3_start, end, time_diff, n):
+    """
+    Takes three routes and a time difference and returns routes that have time differences less than the time difference
+    """
+    # Find the trip time for each route
+    route_1_time = get_trip_time(list_to_string(route_1_coordinates), len(route_1_coordinates), route_1_start, end)
+    route_2_time = get_trip_time(list_to_string(route_2_coordinates), len(route_2_coordinates), route_2_start, end)
+    route_3_time = get_trip_time(list_to_string(route_3_coordinates), len(route_3_coordinates), route_3_start, end)
+
+    # Find the average trip time
+    average_time = (route_1_time + route_2_time + route_3_time) / 3
+
+    # Define a list of all times and route coordinates
+    times = [route_1_time, route_2_time, route_3_time]
+    routes = [route_1_coordinates, route_2_coordinates, route_3_coordinates]
+
+    # Sort the routes by time
+    sorted_indices = np.argsort(times)
+
+    # If the difference of the longest trip time from average is greater than the time difference
+    if times[sorted_indices[2]] - average_time > time_diff:
+        # Move the closest coordinate(s) from the longest route to the shortest route
+        for i in range(n):
+            closest_coordinate = move_coordinate(routes[sorted_indices[2]], routes[sorted_indices[0]])
+            routes[sorted_indices[2]].remove(closest_coordinate)
+            routes[sorted_indices[0]].append(closest_coordinate)
+
+        # Recursively call the function
+        return minimize_route_time_diff_3(routes[0], routes[1], routes[2], route_1_start, route_2_start, route_3_start,
+                                          end, time_diff, n)
+
+    # If the difference of the longest trip time from average is less than the time difference, return the routes
+    return routes[0], routes[1], routes[2]
 
 
-# make a function that turns a list of lists of coordinates into a string
 def list_to_string(list_of_lists):
     """
     Takes a list of lists of coordinates and returns a string of the coordinates
@@ -11,11 +211,13 @@ def list_to_string(list_of_lists):
     string = ''
     for i in list_of_lists:
         string += str(i[1]) + ',' + str(i[0]) + ';'
+
     return string
 
 
-def create_json_df(coordinate_string):
-    coordinates = requests.get('http://acetyl.net:5000/trip/v1/bike/' + coordinate_string)
+def create_json_df(coordinate_string, start, end):
+    coordinates = requests.get(
+        'http://acetyl.net:5000/trip/v1/bike/' + start + coordinate_string + end + '?roundtrip=false&source=first&destination=last')
     coordinates = coordinates.json()
 
     # Create a dataframe from the JSON
@@ -33,11 +235,78 @@ def create_json_df(coordinate_string):
     return df
 
 
-def get_trip_time(coordinate_string):
+def get_trip_time(coordinate_string, num_waypoints, start, end):
     """
     Takes a list of lists of coordinates and returns the time of the trip in hours
     """
-    coordinates = requests.get('http://acetyl.net:5000/trip/v1/bike/' + coordinate_string)
+    coordinates = requests.get(
+        'http://acetyl.net:5000/trip/v1/bike/' + start + coordinate_string + end + '?roundtrip=false&source=first&destination=last')
     coordinates = coordinates.json()
 
-    return int(coordinates['trips'][0]['duration']) / 3600
+    travel_time_seconds = int(coordinates['trips'][0]['duration'])
+    waypoint_time_seconds = num_waypoints * 90
+
+    total_time_hours = (travel_time_seconds + waypoint_time_seconds) / 3600
+
+    return total_time_hours
+
+
+def normalize_gps(coordinates, centroids):
+    """
+    Takes a list of lists of coordinates and centroids and returns a list of lists of normalized coordinates and centroids
+    """
+
+    # Create a list of latitudes and longitudes
+    latitudes = [i[0] for i in coordinates]
+    longitudes = [i[1] for i in coordinates]
+
+    # Find the minimum and maximum latitudes and longitudes
+    min_lat = min(latitudes)
+    max_lat = max(latitudes)
+    min_lon = min(longitudes)
+    max_lon = max(longitudes)
+
+    # Normalize the coordinates and centroids using min-max normalization
+    normalized_coordinates = []
+    normalized_centroids = []
+
+    for i in coordinates:
+        normalized_coordinates.append(
+            [__min_max_normalize__(i[0], min_lat, max_lat), __min_max_normalize__(i[1], min_lon, max_lon)])
+    for i in centroids:
+        normalized_centroids.append(
+            [__min_max_normalize__(i[0], min_lat, max_lat), __min_max_normalize__(i[1], min_lon, max_lon)])
+
+    return normalized_coordinates, normalized_centroids
+
+
+def __min_max_normalize__(value, min_value, max_value):
+    """
+    Takes a value, min value, and max value and returns the normalized value
+    """
+    return (value - min_value) / (max_value - min_value)
+
+
+# Given two clusters and their respective lists of coordinates, move one coordinate from the larger centroid to the smaller centroid
+def move_coordinate(larger_centroid_coordinates, smaller_centroid_coordinates):
+    # Calculate the centroid of the smaller cluster
+    smaller_centroid = [sum([i[0] for i in smaller_centroid_coordinates]) / len(smaller_centroid_coordinates),
+                        sum([i[1] for i in smaller_centroid_coordinates]) / len(smaller_centroid_coordinates)]
+
+    # Find the coordinate in larger_centroid_coordinates that is closest to smaller_centroid
+    closest_coordinate = larger_centroid_coordinates[0]
+    closest_coordinate_distance = __distance__(closest_coordinate, smaller_centroid)
+
+    for coordinate in larger_centroid_coordinates:
+        if __distance__(coordinate, smaller_centroid) < closest_coordinate_distance:
+            closest_coordinate = coordinate
+            closest_coordinate_distance = __distance__(coordinate, smaller_centroid)
+
+    return closest_coordinate
+
+
+def __distance__(coordinate1, coordinate2):
+    """
+    Takes two coordinates and returns the distance between them
+    """
+    return ((coordinate1[0] - coordinate2[0]) ** 2 + (coordinate1[1] - coordinate2[1]) ** 2) ** 0.5