Javascript Program to Sort the matrix row-wise and column-wise

Given a n x n matrix. The problem is to sort the matrix row-wise and column wise.
Examples:

Input : mat[][] = { {4, 1, 3},
                    {9, 6, 8},
                    {5, 2, 7} }
Output : 1 3 4
         2 5 7
         6 8 9

Input : mat[][] = { {12, 7, 1, 8},
                    {20, 9, 11, 2},
                    {15, 4, 5, 13},
                    {3, 18, 10, 6} } 
Output : 1 5 8 12
         2 6 10 15
         3 7 11 18
         4 9 13 20

Approach: Following are the steps:

1. Sort each row of the matrix.
2. Get transpose of the matrix.
3. Again sort each row of the matrix.
4. Again get transpose of the matrix.

Algorithm for getting transpose of the matrix:

for (int i = 0; i < n; i++) {
    for (int j = i + 1; i < n; i++) {
        int temp = mat[i][j];
        mat[i][j] = mat[j][i];
        mat[j][i] = temp;
    }
}

Javascript

<script>
// Javascript implementation to sort the
// matrix row-wise and column-wise

    let  MAX_SIZE=10;

    // function to sort each row of the matrix
    function sortByRow(mat,n)
    {
        for (let i = 0; i < n; i++)

            // sorting row number 'i'
            mat[i].sort(function(a,b){return a-b;});
    }

    // function to find transpose of the matrix
    function transpose(mat,n)
    {
        for (let i = 0; i < n; i++)
            for (let j = i + 1; j < n; j++)
                {
                // swapping element at index (i, j)
                // by element at index (j, i)
                let temp=mat[i][j];
                mat[i][j]=mat[j][i];
                mat[j][i]=temp;
                }
    }

    // function to sort the matrix row-wise
    // and column-wise
    function sortMatRowAndColWise(mat,n)
    {
        // sort rows of mat[][]
        sortByRow(mat, n);

        // get transpose of mat[][]
        transpose(mat, n);

        // again sort rows of mat[][]
        sortByRow(mat, n);

        // again get transpose of mat[][]
        transpose(mat, n);
    }

    // function to print the matrix
    function printMat(mat,n)
    {
        for (let i = 0; i < n; i++) {
            for (let j = 0; j < n; j++)
                document.write(mat[i][j] + " ");
            document.write("<br>");
        }
    }

    // Driver code
    let mat = [[ 4, 1, 3 ],
       [ 9, 6, 8 ],
       [ 5, 2, 7 ]];

    let n = 3;
    document.write("Original Matrix:<br>");
    printMat(mat, n);

    sortMatRowAndColWise(mat, n);

    document.write("
Matrix After Sorting:<br>");
    printMat(mat, n);
    // This code is contributed by avanitrachhadiya2155
</script>

Output:

Original Matrix:
4 1 3
9 6 8
5 2 7

Matrix After Sorting:
1 3 4
2 5 7
6 8 9

Time Complexity: O(n²log₂n). 
Auxiliary Space: O(1).
Please refer complete article on Sort the matrix row-wise and column-wise for more details!