Javascript Program to Sort the matrix row-wise and column-wise
Last Updated :
18 Jan, 2022
Given a n x n matrix. The problem is to sort the matrix row-wise and column wise.
Examples:Â
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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
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Approach: Following are the steps:
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- Sort each row of the matrix.
- Get transpose of the matrix.
- Again sort each row of the matrix.
- Again get transpose of the matrix.
Algorithm for getting transpose of the matrix:Â
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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>
let MAX_SIZE=10;
function sortByRow(mat,n)
{
for (let i = 0; i < n; i++)
mat[i].sort( function (a,b){ return a-b;});
}
function transpose(mat,n)
{
for (let i = 0; i < n; i++)
for (let j = i + 1; j < n; j++)
{
let temp=mat[i][j];
mat[i][j]=mat[j][i];
mat[j][i]=temp;
}
}
function sortMatRowAndColWise(mat,n)
{
sortByRow(mat, n);
transpose(mat, n);
sortByRow(mat, n);
transpose(mat, n);
}
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>" );
}
}
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);
</script>
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Output:Â
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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).Â
Auxiliary Space: O(1).
Please refer complete article on Sort the matrix row-wise and column-wise for more details!
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