{ "cells": [ { "cell_type": "markdown", "id": "d3d8638b", "metadata": { "tags": [ "COP", "easy", "NValues", "objMaximum", "academic", "LexIncreasing" ] }, "source": [ "# Problem *Board Coloration*" ] }, { "cell_type": "markdown", "id": "806a5eb3", "metadata": {}, "source": [ "The (chess)board coloration problem is to color all squares of a board composed of $n$ rows and $m$ columns such that the four corners of any rectangle in the board must not be assigned the same color.\n", "Importantly, we want to minimize the number of used colors." ] }, { "attachments": { "chessboardColoration.jpg": { "image/jpeg": 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" } }, "cell_type": "markdown", "id": "2d08ff5c", "metadata": {}, "source": [ "Coloring boards. Image from [Pixabay](https://pixabay.com/fr/photos/pions-figures-d-\\%C3\\%A9checs-color\\%C3\\%A9-3467512)\n", "\"board\"" ] }, { "cell_type": "markdown", "id": "d91b234f", "metadata": {}, "source": [ "To build a COP (Constraint Optimization Problem) model, we need first to import the library PyCSP$^3$:" ] }, { "cell_type": "code", "execution_count": 1, "id": "80717ee0", "metadata": {}, "outputs": [], "source": [ "from pycsp3 import *" ] }, { "cell_type": "markdown", "id": "d872c75c", "metadata": {}, "source": [ "Then, we need some data. Actually, we just need two integers $n$ and $m$." ] }, { "cell_type": "code", "execution_count": 2, "id": "a3f6b802", "metadata": {}, "outputs": [], "source": [ "n = 3 # number of rows\n", "m = 4 # number of columns" ] }, { "cell_type": "markdown", "id": "a0d769a0", "metadata": {}, "source": [ "We start our COP model by introducing a two-dimensional array $x$ of variables. After a very rough analysis, we can decide to use $n \\times m$ as an upper bound of the number of used colors. " ] }, { "cell_type": "code", "execution_count": 3, "id": "0383843a", "metadata": {}, "outputs": [], "source": [ "# x[i][j] is the color at row i and column j\n", "x = VarArray(size=[n, m], dom=range(n * m))" ] }, { "cell_type": "markdown", "id": "bd6bbc6b", "metadata": {}, "source": [ "We can display the structure of the array, as well as the domain of the first variable (remember that all variables have the same domain)." ] }, { "cell_type": "code", "execution_count": 4, "id": "1f96a7cd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Array x: [\n", " [x[0][0], x[0][1], x[0][2], x[0][3]]\n", " [x[1][0], x[1][1], x[1][2], x[1][3]]\n", " [x[2][0], x[2][1], x[2][2], x[2][3]]\n", "]\n", "Domain of any variable: 0..11\n" ] } ], "source": [ "print(\"Array x: \", x)\n", "print(\"Domain of any variable: \", x[0][0].dom)" ] }, { "cell_type": "markdown", "id": "0101c244", "metadata": {}, "source": [ "Concerning the constraints, we have to impose that at least two corners of any intern rectangle have different colors; the four corners are identified by the coordinates $(i_1,j_1)$, $(i_1,j_2)$, $(i_2,j_1)$ and $(i_2,j_2)$. We use a special case of the constraint *NValues*, seometimes referred to as *NotAllEqual*: we want that the number of different values taken by some variables (the scope of the constraint) is strictly greater than 1. " ] }, { "cell_type": "code", "execution_count": 5, "id": "88fd9a28", "metadata": {}, "outputs": [], "source": [ "satisfy(\n", " # at least 2 corners of different colors for any rectangle inside the board\n", " NValues(x[i1][j1], x[i1][j2], x[i2][j1], x[i2][j2]) > 1\n", " for i1, i2 in combinations(range(n), 2)\n", " for j1, j2 in combinations(range(m), 2) \n", ");" ] }, { "cell_type": "markdown", "id": "1200bca9", "metadata": {}, "source": [ "We can display the internal representation of the posted constraints; this way, although a little bit technical, we can see that all possible rectangles are considered (note that 'gt' stands for '(strictly) greater than')." ] }, { "cell_type": "code", "execution_count": 6, "id": "0b86d894", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nValues(list:[x[0][0], x[0][1], x[1][0], x[1][1]], condition:(gt,1))\n", "nValues(list:[x[0][0], x[0][2], x[1][0], x[1][2]], condition:(gt,1))\n", "nValues(list:[x[0][0], x[0][3], x[1][0], x[1][3]], condition:(gt,1))\n", "nValues(list:[x[0][1], x[0][2], x[1][1], x[1][2]], condition:(gt,1))\n", "nValues(list:[x[0][1], x[0][3], x[1][1], x[1][3]], condition:(gt,1))\n", "nValues(list:[x[0][2], x[0][3], x[1][2], x[1][3]], condition:(gt,1))\n", "nValues(list:[x[0][0], x[0][1], x[2][0], x[2][1]], condition:(gt,1))\n", "nValues(list:[x[0][0], x[0][2], x[2][0], x[2][2]], condition:(gt,1))\n", "nValues(list:[x[0][0], x[0][3], x[2][0], x[2][3]], condition:(gt,1))\n", "nValues(list:[x[0][1], x[0][2], x[2][1], x[2][2]], condition:(gt,1))\n", "nValues(list:[x[0][1], x[0][3], x[2][1], x[2][3]], condition:(gt,1))\n", "nValues(list:[x[0][2], x[0][3], x[2][2], x[2][3]], condition:(gt,1))\n", "nValues(list:[x[1][0], x[1][1], x[2][0], x[2][1]], condition:(gt,1))\n", "nValues(list:[x[1][0], x[1][2], x[2][0], x[2][2]], condition:(gt,1))\n", "nValues(list:[x[1][0], x[1][3], x[2][0], x[2][3]], condition:(gt,1))\n", "nValues(list:[x[1][1], x[1][2], x[2][1], x[2][2]], condition:(gt,1))\n", "nValues(list:[x[1][1], x[1][3], x[2][1], x[2][3]], condition:(gt,1))\n", "nValues(list:[x[1][2], x[1][3], x[2][2], x[2][3]], condition:(gt,1))\n" ] } ], "source": [ "print(posted())" ] }, { "cell_type": "markdown", "id": "6659ce1a", "metadata": {}, "source": [ "Interestingly, by calling the function *solve()*, we can check that the problem is satisfiable (SAT. We can also display the found solution. Here, we call the function *values()* that collects the values assigned to a specified list of variables." ] }, { "cell_type": "code", "execution_count": 7, "id": "f8b22834", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[\n", " [0, 0, 0, 0]\n", " [0, 1, 1, 1]\n", " [0, 1, 2, 2]\n", "]\n" ] } ], "source": [ "if solve() is SAT:\n", " print(values(x))" ] }, { "cell_type": "markdown", "id": "a11b032c", "metadata": {}, "source": [ "We obtain a solution, but we do not know if it is optimal. One way of minimizing the number of used colors is to minimize the maximal value taken by variables in $x$." ] }, { "cell_type": "code", "execution_count": 8, "id": "935705d2", "metadata": {}, "outputs": [], "source": [ "minimize(\n", " # minimizing the greatest used color index (and so, the number of colors)\n", " Maximum(x)\n", ");" ] }, { "cell_type": "markdown", "id": "c71db4ef", "metadata": {}, "source": [ "We can run again the solver, with this optimization task. Note that we need to check that the status returned by the solver is now OPTIMUM. " ] }, { "cell_type": "code", "execution_count": 9, "id": "7f0f3b8e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[\n", " [0, 0, 0, 1]\n", " [0, 1, 1, 1]\n", " [1, 1, 0, 0]\n", "]\n", "Optimal number of colors: 2\n" ] } ], "source": [ "if solve() is OPTIMUM:\n", " print(values(x))\n", " print(\"Optimal number of colors: \" , (bound()+1))" ] }, { "cell_type": "markdown", "id": "ea1bb144", "metadata": {}, "source": [ "As a matter of fact, this problem has many symmetries.\n", "It is known that we can break variable symmetries by posting a lexicographic constraint between any two successive rows and any two successive columns. The reader is invited to reflect about the proof.\n", "For posting lexicographic constraints, we use the constraint *LexIncreasing*, with the named parameter *matrix* set to True since the constraint must be applied on each row and each column of the specified two-dimensional array. On the other hand, it is relevant to tag this constraint because it clearly informs us that it is inserted for breaking symmetries (and tags can be exploited by solvers): tagging is made possible by putting in a comment line an expression of the form *tag()*, with a token (or a sequence of tokens separated by a white-space) between parentheses. We write:" ] }, { "cell_type": "code", "execution_count": 10, "id": "7e20ea07", "metadata": {}, "outputs": [], "source": [ "satisfy(\n", " # Increasingly ordering both rows and columns tag(symmetry-breaking)\n", " LexIncreasing(x, matrix=True)\n", ");" ] }, { "cell_type": "markdown", "id": "33f7b6d4", "metadata": {}, "source": [ "We can run again the solver." ] }, { "cell_type": "code", "execution_count": 11, "id": "ebb5a038", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[\n", " [0, 0, 0, 1]\n", " [0, 1, 1, 1]\n", " [1, 0, 1, 0]\n", "]\n", "Optimal number of colors: 2\n" ] } ], "source": [ "if solve() is OPTIMUM:\n", " print(values(x))\n", " print(\"Optimal number of colors: \" , (bound()+1))" ] }, { "cell_type": "markdown", "id": "62d44f24", "metadata": {}, "source": [ "Importantly, This time, one can observe that all rows and all columns are lexicographically strictly ordered." ] }, { "cell_type": "markdown", "id": "f2d48727", "metadata": {}, "source": [ "Finally, we give below the model in one piece. Here the data is expected to be given by the user (in a command line)." ] }, { "cell_type": "raw", "id": "3d1089c7", "metadata": { "raw_mimetype": "text/x-python" }, "source": [ "from pycsp3 import *\n", "\n", "n, m = data\n", "\n", "# x[i][j] is the color at row i and column j\n", "x = VarArray(size=[n, m], dom=range(n * m))\n", "\n", "satisfy(\n", " # at least 2 corners of different colors for any rectangle inside the board\n", " [NValues(x[i1][j1], x[i1][j2], x[i2][j1], x[i2][j2]) > 1\n", " for i1, i2 in combinations(range(n), 2)\n", " for j1, j2 in combinations(range(m), 2)], \n", "\n", " # Increasingly ordering both rows and columns tag(symmetry-breaking)\n", " LexIncreasing(x, matrix=True)\n", ")\n", "\n", "minimize(\n", " # minimizing the greatest used color index (and so, the number of colors)\n", " Maximum(x)\n", ")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.12" } }, "nbformat": 4, "nbformat_minor": 5 }