TANGO_of_Linkedin_CP_Puzzle.ipynb

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      "provenance": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
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        "id": "view-in-github",
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      "source": [
        "<a href=\"https://colab.research.google.com/github/OptimizationExpert/Pyomo/blob/main/TANGO_of_Linkedin_CP_Puzzle.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Developed by Alireza Soroudi\n",
        "alireza.soroudi@gmail.com\n",
        "\n",
        "Linkedin News letter : https://www.linkedin.com/newsletters/optimization-in-open-source-6874020019009859585/\n",
        "\n",
        "Git hub: https://github.com/OptimizationExpert/Pyomo"
      ],
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      }
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)"
      ],
      "metadata": {
        "id": "NPX9h10lZGsk"
      }
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "w_3yuwV8XtMF",
        "outputId": "40001da8-c54d-456a-88dc-b5f864a16d9a",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "source": [
        "!pip install ortools\n",
        "from ortools.sat.python import cp_model # CP-SAT solver\n",
        "import numpy as np\n",
        "from random import randint\n",
        "import random\n",
        "from math import ceil\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt # Data visualization\n",
        "import time\n",
        "#plt.rcParams[\"figure.figsize\"] = (15,10)"
      ],
      "execution_count": 35,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Requirement already satisfied: ortools in /usr/local/lib/python3.10/dist-packages (9.11.4210)\n",
            "Requirement already satisfied: absl-py>=2.0.0 in /usr/local/lib/python3.10/dist-packages (from ortools) (2.1.0)\n",
            "Requirement already satisfied: numpy>=1.13.3 in /usr/local/lib/python3.10/dist-packages (from ortools) (1.26.4)\n",
            "Requirement already satisfied: pandas>=2.0.0 in /usr/local/lib/python3.10/dist-packages (from ortools) (2.2.2)\n",
            "Requirement already satisfied: protobuf<5.27,>=5.26.1 in /usr/local/lib/python3.10/dist-packages (from ortools) (5.26.1)\n",
            "Requirement already satisfied: immutabledict>=3.0.0 in /usr/local/lib/python3.10/dist-packages (from ortools) (4.2.0)\n",
            "Requirement already satisfied: python-dateutil>=2.8.2 in /usr/local/lib/python3.10/dist-packages (from pandas>=2.0.0->ortools) (2.8.2)\n",
            "Requirement already satisfied: pytz>=2020.1 in /usr/local/lib/python3.10/dist-packages (from pandas>=2.0.0->ortools) (2024.2)\n",
            "Requirement already satisfied: tzdata>=2022.7 in /usr/local/lib/python3.10/dist-packages (from pandas>=2.0.0->ortools) (2024.2)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.8.2->pandas>=2.0.0->ortools) (1.16.0)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "dic = {}\n",
        "plt.figure(figsize=(5,5))\n",
        "counter = 0\n",
        "cell = {}\n",
        "for r in range(6):\n",
        "  for c in range(6):\n",
        "    plt.scatter(r,c,s=200, alpha = 0.1)\n",
        "    counter+=1\n",
        "    plt.text(r,c,s=str(counter))\n",
        "    cell[counter] = [r,c,-1]\n",
        "    dic[counter]=(r,c)\n",
        "cell"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "Sgx6mGduZebo",
        "outputId": "c3902e49-a566-4fd6-c651-3d40a8d05b12"
      },
      "execution_count": 36,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{1: [0, 0, -1],\n",
              " 2: [0, 1, -1],\n",
              " 3: [0, 2, -1],\n",
              " 4: [0, 3, -1],\n",
              " 5: [0, 4, -1],\n",
              " 6: [0, 5, -1],\n",
              " 7: [1, 0, -1],\n",
              " 8: [1, 1, -1],\n",
              " 9: [1, 2, -1],\n",
              " 10: [1, 3, -1],\n",
              " 11: [1, 4, -1],\n",
              " 12: [1, 5, -1],\n",
              " 13: [2, 0, -1],\n",
              " 14: [2, 1, -1],\n",
              " 15: [2, 2, -1],\n",
              " 16: [2, 3, -1],\n",
              " 17: [2, 4, -1],\n",
              " 18: [2, 5, -1],\n",
              " 19: [3, 0, -1],\n",
              " 20: [3, 1, -1],\n",
              " 21: [3, 2, -1],\n",
              " 22: [3, 3, -1],\n",
              " 23: [3, 4, -1],\n",
              " 24: [3, 5, -1],\n",
              " 25: [4, 0, -1],\n",
              " 26: [4, 1, -1],\n",
              " 27: [4, 2, -1],\n",
              " 28: [4, 3, -1],\n",
              " 29: [4, 4, -1],\n",
              " 30: [4, 5, -1],\n",
              " 31: [5, 0, -1],\n",
              " 32: [5, 1, -1],\n",
              " 33: [5, 2, -1],\n",
              " 34: [5, 3, -1],\n",
              " 35: [5, 4, -1],\n",
              " 36: [5, 5, -1]}"
            ]
          },
          "metadata": {},
          "execution_count": 36
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 500x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "KOLORs = ['r','k','b','navy','gold','g','grey','brown','grey','orange','olive']\n",
        "same = [(33,34), (13,19)]\n",
        "dif = [(18,24), (3,4)]\n"
      ],
      "metadata": {
        "id": "CFwTJ91NUzn9"
      },
      "execution_count": 37,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "sun = [1,15,22,29,36,6]\n",
        "star = [8,31,26,16,21,11]\n",
        "for counter in sun:\n",
        "  cell[counter][2] = 1\n",
        "for counter in star:\n",
        "  cell[counter][2] = 0\n",
        "\n",
        "\n",
        "nodes = [c for c in cell.keys()]\n",
        "\n",
        "\n",
        "plt.figure(figsize=(5,5))\n",
        "for n in nodes:\n",
        "  if cell[n][2] == 1:\n",
        "    x,y = dic[n][0], dic[n][1]\n",
        "    plt.scatter(x,y,s=200, c= 'gold', marker='o')\n",
        "  if cell[n][2] == 0:\n",
        "    x,y = dic[n][0], dic[n][1]\n",
        "    plt.scatter(x,y,s=200, c= 'navy', marker='p')\n",
        "  else:\n",
        "    x,y = dic[n][0], dic[n][1]\n",
        "    plt.scatter(x,y,s=200, c= 'grey', alpha = 0.1)\n",
        "\n",
        "\n",
        "plt.axis('off')\n",
        "plt.tight_layout()\n",
        "plt.show()\n"
      ],
      "metadata": {
        "id": "yU46bQJO2WvI",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 507
        },
        "outputId": "c9ab076e-0c5f-439c-e7a4-503ead5f2fcb"
      },
      "execution_count": 47,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 500x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yyF-IzKMcyrj",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "767a79d1-6fbb-462d-8955-c9b51505fc99"
      },
      "source": [
        "model = cp_model.CpModel()\n",
        "solver = cp_model.CpSolver()\n",
        "U = {c:model.NewBoolVar(f\"sunorstar_{c}\") for c in nodes}\n",
        "\n",
        "for n in nodes:\n",
        "  if cell[n][2] == 1:\n",
        "    model.Add(U[n] == 1)\n",
        "  elif cell[n][2] == 0:\n",
        "    model.Add(U[n] == 0)\n",
        "\n",
        "\n",
        "for r in range(6):\n",
        "  model.Add(sum([U[c] for c in nodes if cell[c][0] == r]) == 3)\n",
        "  model.Add(sum([U[c] for c in nodes if cell[c][1] == r]) == 3)\n",
        "\n",
        "all_verticals = [(n,m,p) for n in nodes for m in nodes for p in nodes\n",
        "                if (cell[n][0]== cell[m][0]  and cell[m][0]== cell[p][0]) and\n",
        "\n",
        "                (cell[n][1]+1 == cell[m][1]  and cell[m][1]+1== cell[p][1])\n",
        "                ]\n",
        "all_horizonss = [(n,m,p) for n in nodes for m in nodes for p in nodes\n",
        "                if (cell[n][1]== cell[m][1]  and cell[m][1]== cell[p][1]) and\n",
        "\n",
        "                (cell[n][0]+1 == cell[m][0]  and cell[m][0]+1== cell[p][0])\n",
        "                ]\n",
        "\n",
        "for (n,m,p) in all_verticals:\n",
        "  model.Add(U[n] + U[m] + U[p] <= 2)\n",
        "  model.Add(U[n].Not() + U[m].Not() + U[p].Not() <= 2)\n",
        "\n",
        "for (n,m,p) in all_horizonss:\n",
        "  model.Add(U[n] + U[m] + U[p] <= 2)\n",
        "  model.Add(U[n].Not() + U[m].Not() + U[p].Not() <= 2)\n",
        "\n",
        "for (n,m) in same:\n",
        "  model.Add(U[n] == U[m])\n",
        "for (n,m) in dif:\n",
        "  model.Add(U[n] != U[m])\n",
        "\n",
        "st = time.time()\n",
        "status = solver.Solve(model)\n",
        "et = time.time()\n",
        "print(f\"time = {et-st}\")\n",
        "print(f\"status = {solver.StatusName(status)}\")\n"
      ],
      "execution_count": 49,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "time = 0.00428462028503418\n",
            "status = OPTIMAL\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(5,5))\n",
        "for n,v in U.items():\n",
        "  if solver.Value(v) == 1:\n",
        "    x,y = dic[n][0], dic[n][1]\n",
        "    plt.scatter(x,y,s=200, c= 'gold', marker='o')\n",
        "  else:\n",
        "    x,y = dic[n][0], dic[n][1]\n",
        "    plt.scatter(x,y,s=200, c= 'navy', marker='p')\n",
        "\n",
        "plt.axis('off')\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 507
        },
        "id": "aw7I7Iy-i4Dc",
        "outputId": "06668228-5403-46d7-c9dd-ed069169427b"
      },
      "execution_count": 50,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 500x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [],
      "metadata": {
        "id": "kgrhPumrnlXZ"
      }
    }
  ]
}