From bbb0fbc1c3a83e6b54f30a52dd0ed3b413beb98c Mon Sep 17 00:00:00 2001
From: Harrison Deng <yunyangdeng@gmail.com>
Date: Wed, 10 Apr 2024 04:02:38 +0000
Subject: [PATCH] Partially completed EC3 task 2. There are unpaired students.

---
 A4/CSC_373_EC3.ipynb | 41903 ++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 41786 insertions(+), 117 deletions(-)

diff --git a/A4/CSC_373_EC3.ipynb b/A4/CSC_373_EC3.ipynb
index 816afd5..f33088e 100644
--- a/A4/CSC_373_EC3.ipynb
+++ b/A4/CSC_373_EC3.ipynb
@@ -2,7 +2,7 @@
   "cells": [
     {
       "cell_type": "code",
-      "execution_count": 2,
+      "execution_count": 1,
       "id": "0744d366-ab31-4ed2-8845-e1d26ca90912",
       "metadata": {
         "cellView": "form",
@@ -143,7 +143,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 3,
+      "execution_count": 2,
       "id": "674a699c-22b5-42cf-859a-8ac38f68389e",
       "metadata": {
         "colab": {
@@ -230,7 +230,7 @@
               "</svg>\n"
             ],
             "text/plain": [
-              "<graphviz.graphs.Digraph at 0x7fbdb2948650>"
+              "<graphviz.graphs.Digraph at 0x7f3838445550>"
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           },
           "metadata": {},
@@ -263,7 +263,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 4,
+      "execution_count": 3,
       "id": "66347cb5-2752-4369-aa47-96f29c483688",
       "metadata": {
         "colab": {
@@ -302,7 +302,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 5,
+      "execution_count": 4,
       "id": "12758b83-6e78-4335-9fb3-e7b0f08485f2",
       "metadata": {
         "colab": {
@@ -432,7 +432,7 @@
               "</svg>\n"
             ],
             "text/plain": [
-              "<graphviz.graphs.Digraph at 0x7fbdb27645c0>"
+              "<graphviz.graphs.Digraph at 0x7f38380bfad0>"
             ]
           },
           "metadata": {},
@@ -475,7 +475,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 6,
+      "execution_count": 5,
       "id": "18438025-ce74-4abe-9ae7-c0b7cfefad8b",
       "metadata": {
         "colab": {
@@ -3155,9 +3155,9 @@
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@@ -5843,9 +5843,9 @@
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-              "var gd = document.getElementById('2bf68c1d-b451-4032-8df7-f1a9389e2c50');\n",
+              "var gd = document.getElementById('f8bba3a2-0d4f-4f2b-843d-f7683c32b46a');\n",
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@@ -5890,7 +5890,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 8,
+      "execution_count": 7,
       "id": "574b5079-95d5-4936-8a3a-05cab65c7957",
       "metadata": {
         "colab": {
@@ -8542,9 +8542,9 @@
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@@ -8745,7 +8745,7 @@
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-            "Response(student_id='0', availability={'Monday_PM', 'Saturday_AM', 'Sunday_PM'})\n",
-            "Response(student_id='1', availability={'Monday_PM', 'Tuesday_PM'})\n",
-            "Response(student_id='2', availability={'Friday_AM', 'Sunday_PM', 'Thursday AM'})\n",
-            "Response(student_id='3', availability={'Friday_AM', 'Sunday_PM', 'Wednesday AM'})\n",
-            "Response(student_id='4', availability={'Monday_PM', 'Tuesday AM', 'Monday AM'})\n",
-            "Response(student_id='5', availability={'Friday_AM', 'Sunday_PM', 'Wednesday AM', 'Thursday AM'})\n",
-            "Response(student_id='6', availability={'Tuesday_PM', 'Sunday_PM', 'Sunday_AM'})\n",
-            "Response(student_id='7', availability={'Thursday_PM', 'Sunday_PM'})\n",
-            "Response(student_id='8', availability={'Monday AM'})\n",
-            "Response(student_id='9', availability={'Friday_PM', 'Sunday_AM', 'Wednesday_PM'})\n",
-            "Response(student_id='10', availability={'Saturday_AM', 'Monday AM'})\n",
-            "Response(student_id='11', availability={'Friday_PM', 'Saturday_PM', 'Wednesday_PM'})\n",
-            "Response(student_id='12', availability={'Friday_AM', 'Tuesday_PM', 'Thursday AM'})\n",
-            "Response(student_id='13', availability={'Tuesday AM', 'Thursday AM', 'Wednesday_PM'})\n",
-            "Response(student_id='14', availability={'Friday_AM', 'Saturday_AM', 'Saturday_PM'})\n"
+            "Students Matched: 15\n",
+            "Student ID Matches:\n",
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+            "\t('18', '12')\n",
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+              "            console.log([gd, 'removed!']);\n",
+              "            Plotly.purge(gd);\n",
+              "            observer.disconnect();\n",
+              "        }}\n",
+              "}});\n",
+              "\n",
+              "// Listen for the removal of the full notebook cells\n",
+              "var notebookContainer = gd.closest('#notebook-container');\n",
+              "if (notebookContainer) {{\n",
+              "    x.observe(notebookContainer, {childList: true});\n",
+              "}}\n",
+              "\n",
+              "// Listen for the clearing of the current output cell\n",
+              "var outputEl = gd.closest('.output');\n",
+              "if (outputEl) {{\n",
+              "    x.observe(outputEl, {childList: true});\n",
+              "}}\n",
+              "\n",
+              "                        })                };                });            </script>        </div>"
+            ]
+          },
+          "metadata": {},
+          "output_type": "display_data"
         }
       ],
       "source": [
+        "# Setting up graph\n",
+        "t1_graph = nx.DiGraph()\n",
+        "\n",
+        "t1_graph.add_node(\"s\")\n",
+        "t1_graph.add_node(\"t\")\n",
+        "\n",
+        "business_student_ids = []\n",
+        "\n",
+        "for business_student in business_students:\n",
+        "    t1_graph.add_node(business_student.student_id)\n",
+        "    business_student_ids.append(business_student.student_id)\n",
+        "    t1_graph.add_edge(\"s\", business_student.student_id, weight=1)\n",
+        "\n",
         "for cs_student in cs_students:\n",
-        "    for "
+        "    t1_graph.add_node(cs_student.student_id)\n",
+        "    t1_graph.add_edge(cs_student.student_id, \"t\", weight=1)\n",
+        "    for business_student in business_students:\n",
+        "        \n",
+        "        for availability in cs_student.availability:\n",
+        "            if availability in business_student.availability:\n",
+        "                t1_graph.add_edge(business_student.student_id, cs_student.student_id, weight=1)\n",
+        "\n",
+        "# Solving max-flow\n",
+        "t1_flow_value, t1_flow_dict = nx.maximum_flow(t1_graph, \"s\", \"t\", capacity = \"weight\")\n",
+        "\n",
+        "# Building matchings\n",
+        "print(f\"Students Matched: {t1_flow_value}\")\n",
+        "t1_matching = []\n",
+        "for business_student_id in business_student_ids:\n",
+        "    flow_dict = t1_flow_dict[business_student_id]\n",
+        "    for cs_student_id, flow_value in flow_dict.items():\n",
+        "        if flow_value > 0:\n",
+        "            t1_matching.append((business_student_id, cs_student_id))\n",
+        "print(f\"Student ID Matches:\\n\\t{\"\\n\\t\".join([str(pairing) for pairing in t1_matching])}\")\n",
+        "\n",
+        "# Graphing results\n",
+        "t1_graph.remove_node(\"s\")\n",
+        "t1_graph.remove_node(\"t\")\n",
+        "plot_bipartite(t1_graph, left=business_student_ids, matching=t1_matching)"
       ]
     },
-    {
-      "cell_type": "code",
-      "execution_count": null,
-      "id": "6ae561d1",
-      "metadata": {},
-      "outputs": [],
-      "source": []
-    },
     {
       "cell_type": "markdown",
       "id": "9efa7d19",
@@ -8835,81 +29693,20892 @@
     },
     {
       "cell_type": "code",
-      "execution_count": null,
+      "execution_count": 21,
       "id": "39b97a8f-84a8-4fc1-8eaa-5487423f042e",
       "metadata": {
         "id": "39b97a8f-84a8-4fc1-8eaa-5487423f042e"
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-      "outputs": [],
-      "source": []
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+              "var gd = document.getElementById('70dc9aaa-fec6-4a58-b1b3-913d2083f238');\n",
+              "var x = new MutationObserver(function (mutations, observer) {{\n",
+              "        var display = window.getComputedStyle(gd).display;\n",
+              "        if (!display || display === 'none') {{\n",
+              "            console.log([gd, 'removed!']);\n",
+              "            Plotly.purge(gd);\n",
+              "            observer.disconnect();\n",
+              "        }}\n",
+              "}});\n",
+              "\n",
+              "// Listen for the removal of the full notebook cells\n",
+              "var notebookContainer = gd.closest('#notebook-container');\n",
+              "if (notebookContainer) {{\n",
+              "    x.observe(notebookContainer, {childList: true});\n",
+              "}}\n",
+              "\n",
+              "// Listen for the clearing of the current output cell\n",
+              "var outputEl = gd.closest('.output');\n",
+              "if (outputEl) {{\n",
+              "    x.observe(outputEl, {childList: true});\n",
+              "}}\n",
+              "\n",
+              "                        })                };                });            </script>        </div>"
+            ]
+          },
+          "metadata": {},
+          "output_type": "display_data"
+        }
+      ],
+      "source": [
+        "# Generating Order for Tracking Purposes (not necessarily needed) (can be replaced with simple 15*15)\n",
+        "possible_student_pairings = []\n",
+        "for cs_student in cs_students:\n",
+        "    for business_student in business_students:\n",
+        "        possible_student_pairings.append((cs_student.student_id, business_student.student_id))\n",
+        "\n",
+        "# Setting up objective coefficients\n",
+        "\n",
+        "c = np.ones((len(possible_student_pairings))) # Coefficients all 1\n",
+        "\n",
+        "A = np.identity(len(possible_student_pairings)) # flow coefficients also 1, each row represents one edge, thus all non corresponding variables have coefficient 0\n",
+        "b = np.zeros((len(possible_student_pairings))) # Assume edge has no capacity\n",
+        "for cs_index, cs_student in enumerate(cs_students): # order is deterministic (list)\n",
+        "    for business_index, business_student in enumerate(business_students): # order is deterministic (list)\n",
+        "        pairing_index = cs_index * len(cs_students) + business_index\n",
+        "        for availability in cs_student.availability:\n",
+        "            if availability in business_student.availability:\n",
+        "                b[pairing_index] = b[pairing_index] + 1\n",
+        "\n",
+        "# Run optimization\n",
+        "optimization_results = linprog(-c, A_ub=A, b_ub=b, bounds=(0,None))\n",
+        "\n",
+        "# Retrieve optimized values and calculate matching\n",
+        "t2_matching = []\n",
+        "business_students_matched = [False] * len(business_students)\n",
+        "for cs_index, cs_student in enumerate(cs_students): # order is deterministic (list)\n",
+        "    best_business_match_student = None\n",
+        "    best_business_match_score = 0\n",
+        "    best_business_match_index = None\n",
+        "    for business_index, business_student in enumerate(business_students): # order is deterministic (list)\n",
+        "        if business_students_matched[business_index]:\n",
+        "            continue # If this business student has already matched optimally, we skip them\n",
+        "        pairing_index = cs_index * len(cs_students) + business_index\n",
+        "        if optimization_results.x[pairing_index] > best_business_match_score:\n",
+        "            best_business_match_student = business_student\n",
+        "            best_business_match_score = optimization_results.x[pairing_index]\n",
+        "            best_business_match_index = business_index\n",
+        "    if best_business_match_student is None:\n",
+        "        continue\n",
+        "    business_students_matched[best_business_match_index] = True\n",
+        "    t2_matching.append((best_business_match_student.student_id, cs_student.student_id))\n",
+        "\n",
+        "# Graph the matchings\n",
+        "plot_bipartite(t1_graph, left=business_student_ids, matching=t2_matching)"
+      ]
     },
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