Program to find the maximum element in a Matrix
Given an NxM matrix. The task is to find the maximum element in this matrix.
Examples:
Input: mat[4][4] = {{1, 2, 3, 4}, {25, 6, 7, 8}, {9, 10, 11, 12}, {13, 14, 15, 16}}; Output: 25 Input: mat[3][4] = {{9, 8, 7, 6}, {5, 4, 3, 2}, {1, 0, 12, 45}}; Output: 45
Approach: The idea is to traverse the matrix using two nested loops, one for rows and one for columns, and find the maximum element. Initialize a variable maxElement with a minimum value and traverse the matrix and compare every time if the current element is greater than a maxElement. If yes then update maxElement with the current element.
Below is the implementation of the above approach:
C++
// CPP code to find max element in a matrix #include <bits/stdc++.h> using namespace std; #define N 4 #define M 4 // Function to find max element // mat[][] : 2D array to find max element int findMax( int mat[N][M]) { // Initializing max element as INT_MIN int maxElement = INT_MIN; // checking each element of matrix // if it is greater than maxElement, // update maxElement for ( int i = 0; i < N; i++) { for ( int j = 0; j < M; j++) { if (mat[i][j] > maxElement) { maxElement = mat[i][j]; } } } // finally return maxElement return maxElement; } // Driver code int main() { // matrix int mat[N][M] = { { 1, 2, 3, 4 }, { 25, 6, 7, 8 }, { 9, 10, 11, 12 }, { 13, 14, 15, 16 } }; cout << findMax(mat) << endl; return 0; } |
Java
// Java code to find max element in a matrix public class GFG { final static int N = 4 ; final static int M = 4 ; // Function to find max element // mat[][] : 2D array to find max element static int findMax( int mat[][]) { // Initializing max element as INT_MIN int maxElement = Integer.MIN_VALUE; // checking each element of matrix // if it is greater than maxElement, // update maxElement for ( int i = 0 ; i < N; i++) { for ( int j = 0 ; j < M; j++) { if (mat[i][j] > maxElement) { maxElement = mat[i][j]; } } } // finally return maxElement return maxElement; } // Driver code public static void main(String args[]) { // matrix int mat[][] = { { 1 , 2 , 3 , 4 }, { 25 , 6 , 7 , 8 }, { 9 , 10 , 11 , 12 }, { 13 , 14 , 15 , 16 } }; System.out.println(findMax(mat)) ; } // This Code is contributed by ANKITRAI1 } |
Python3
# Python 3 code to find max element # in a matrix import sys N = 4 M = 4 # Function to find max element # mat[][] : 2D array to find max element def findMax(mat): # Initializing max element as INT_MIN maxElement = - sys.maxsize - 1 # checking each element of matrix # if it is greater than maxElement, # update maxElement for i in range (N): for j in range (M): if (mat[i][j] > maxElement): maxElement = mat[i][j] # finally return maxElement return maxElement # Driver code if __name__ = = '__main__' : # matrix mat = [[ 1 , 2 , 3 , 4 ], [ 25 , 6 , 7 , 8 ], [ 9 , 10 , 11 , 12 ], [ 13 , 14 , 15 , 16 ]] print (findMax(mat)) # This code is contributed by # Surendra_Gangwar |
C#
// C# code to find max element in a matrix using System; class GFG { static int N = 4; static int M = 4 ; // Function to find max element // mat[,] : 2D array to find max element static int findMax( int [,] mat) { // Initializing max element as INT_MIN int maxElement = int .MinValue; // checking each element of matrix // if it is greater than maxElement, // update maxElement for ( int i = 0; i < N; i++) { for ( int j = 0; j < M; j++) { if (mat[i,j] > maxElement) { maxElement = mat[i,j]; } } } // finally return maxElement return maxElement; } // Driver code public static void Main() { // matrix int [,]mat = {{ 1, 2, 3, 4}, {25, 6, 7, 8}, {9, 10, 11, 12}, {13, 14, 15, 16}}; Console.Write(findMax(mat)) ; } } // This code is contributed by ChitraNayal |
PHP
<?php // PHP code to find max element in a matrix // Function to find max element // mat[][] : 2D array to find max element function findMax( $mat ) { // Initializing max element as INT_MIN $maxElement = PHP_INT_MIN; // checking each element of matrix // if it is greater than maxElement, // update maxElement for ( $i = 0; $i < 4; $i ++) { for ( $j = 0; $j < 4; $j ++) { if ( $mat [ $i ][ $j ] > $maxElement ) { $maxElement = $mat [ $i ][ $j ]; } } } // finally return maxElement return $maxElement ; } // Driver code $mat = array ( array (1, 2, 3, 4), array (25, 6, 7, 8), array (9, 10, 11, 12), array (13, 14, 15, 16)); echo findMax( $mat ) . "\n" ; // This code is contributed // by Akanksha Rai ?> |
Javascript
<script> // Java script code to find max element in a matrix let N = 4; let M = 4 ; // Function to find max element // mat[][] : 2D array to find max element function findMax(mat) { // Initializing max element as INT_MIN let maxElement = Number.MIN_VALUE; // checking each element of matrix // if it is greater than maxElement, // update maxElement for (let i = 0; i < N; i++) { for (let j = 0; j < M; j++) { if (mat[i][j] > maxElement) { maxElement = mat[i][j]; } } } // finally return maxElement return maxElement; } // Driver code // matrix let mat = [[ 1, 2, 3, 4 ], [ 25, 6, 7, 8 ], [ 9, 10, 11, 12 ], [ 13, 14, 15, 16 ]]; document.write(findMax(mat)) ; // This code is contributed by manoj </script> |
Output
25
Time Complexity: O(N*M), where N and M are the numbers of rows and columns of the given matrix.
Auxiliary Space: O(1), As constant extra space is used.