Java 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;
}
}
Java
import java.util.Arrays;
class GFG
{
static final int MAX_SIZE= 10 ;
static void sortByRow( int mat[][], int n)
{
for ( int i = 0 ; i < n; i++)
Arrays.sort(mat[i]);
}
static void transpose( int mat[][], int n)
{
for ( int i = 0 ; i < n; i++)
for ( int j = i + 1 ; j < n; j++)
{
int temp=mat[i][j];
mat[i][j]=mat[j][i];
mat[j][i]=temp;
}
}
static void sortMatRowAndColWise( int mat[][], int n)
{
sortByRow(mat, n);
transpose(mat, n);
sortByRow(mat, n);
transpose(mat, n);
}
static void printMat( int mat[][], int n)
{
for ( int i = 0 ; i < n; i++) {
for ( int j = 0 ; j < n; j++)
System.out.print(mat[i][j] + " " );
System.out.println();
}
}
public static void main (String[] args)
{
int mat[][] = { { 4 , 1 , 3 },
{ 9 , 6 , 8 },
{ 5 , 2 , 7 } };
int n = 3 ;
System.out.print("Original Matrix:
");
printMat(mat, n);
sortMatRowAndColWise(mat, n);
System.out.print("
Matrix After Sorting:
");
printMat(mat, n);
}
}
|
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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