Given a N x M matrix which represents the number of rows and number of columns respectively. Each cell of a matrix is occupied by exactly one student. The task is to determine whether we can shuffle each student in such a way that each student should occupy a cell that is adjacent to that student’s original cell, i.e. immediately to the left, right, top or bottom of that cell and after shuffling each cell should occupy by exactly one student.
Examples:
Input: N = 3, M = 3
Output: Shuffling not possibleInput: N = 4, M = 4
Output: Shuffling is possible
One possible way to shuffle the student is as shown below:
Approach: Check if the number of rows or the number of columns is even then shuffling is possible otherwise no shuffling is possible.
Below is the implementation of the above approach:
C++
// C++ implementation of above approach#include <iostream>using namespace std;// Function that will check whether// Shuffling is possible or notvoid Shuffling(int N, int M){ if (N % 2 == 0 || M % 2 == 0) cout << "Shuffling is possible"; else cout << "Shuffling not possible";}// Driver codeint main(){ int N = 4, M = 5; // Calling function. Shuffling(N, M); return 0;} |
Java
// Java implementation of above approachimport java.io.*;class Main { // Function that will check whether // Shuffling is possible or not static void shuffling(int N, int M) { int a = N & 1; // check whether N is even numner or // not using & operator. int b = M & 1; // check whether M is even numner or // not using & operator. if (a != 1 || b != 1) // check whether N or M is // even numner or not. System.out.println("Shuffling is possible"); else System.out.println("Shuffling not possible"); } // Driver code to start the code public static void main(String[] args) { int N = 4,M = 5; // Taken value from the given example. // calling function to check the shuffling shuffling(N, M); }} |
Python3
# Python3 implementation of above approach # Function that will check whether # Shuffling is possible or not def Shuffling(N, M) : if (N % 2 == 0 or M % 2 == 0) : print("Shuffling is possible"); else : print("Shuffling not possible"); # Driver Codeif __name__ == "__main__" : # Driver code N = 4; M = 5; # Calling function. Shuffling(N, M); # This code is contributed by Ryuga |
Javascript
<script>// Javascript implementation of above approach// Function that will check whether// Shuffling is possible or notfunction Shuffling(N, M){ if (N % 2 == 0 || M % 2 == 0) document.write( "Shuffling is possible"); else document.write("Shuffling not possible");}// Driver codevar N = 4, M = 5;// Calling function.Shuffling(N, M);// This code is contributed by rrrtnx.</script> |
C#
// C# implementation of above approachusing System;class GFG { // Function that will check whether// Shuffling is possible or notstatic void Shuffling(int N, int M){ if (N % 2 == 0 || M % 2 == 0) Console.Write("Shuffling is possible"); else Console.Write("Shuffling not possible");} // Driver code public static void Main () { int N = 4, M = 5; // Calling function. Shuffling(N, M); }}// This code is contributed by Ita_c. |
PHP
<?php// PHP implementation of above approach// Function that will check whether// Shuffling is possible or notfunction Shuffling($N, $M){ if ($N % 2 == 0 || $M % 2 == 0) echo "Shuffling is possible"; else echo "Shuffling not possible";}// Driver code$N = 4;$M = 5;// Calling function.Shuffling($N, $M);// This code is contributed by// Shivi_Aggarwal ?> |
Shuffling is possible
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