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Print an N x M matrix such that each row and column has all the vowels in it
  • Last Updated : 04 Jun, 2019

Given two integers N and M, the task is to print an N x M matrix such that each row and column contain all the vowels in it. If it is impossible to do so, then print -1.

Examples:

Input: N = 5, M = 5
Output:
a e i o u
e i o u a
i o u a e
o u a e i
u a e i o

Input: N = 6, M = 2
Output: -1

Approach: Since the number of vowels are 5, hence we need a minimum of 5 rows and 5 columns in order to generate a valid matrix. A pattern can be followed by filling “aeiouaeiou..” in the first row, “eiouaeio..” in the second row and so on and the generated matrix will contain all the vowels in every row and column.



Below is the implementation of the above approach:

C++




// C++ implementation of the approach
#include <bits/stdc++.h>
using namespace std;
  
// Function to print the required matrix
void printMatrix(int n, int m)
{
  
    // Impossible to generate
    // the required matrix
    if (n < 5 || m < 5) {
        cout << -1;
        return;
    }
  
    // Store all the vowels
    string s = "aeiou";
  
    // Print the matrix
    for (int i = 0; i < n; i++) {
  
        // Print vowels for every index
        for (int j = 0; j < m; j++) {
            cout << s[j % 5] << " ";
        }
        cout << endl;
        char c = s[0];
  
        // Shift the vowels by one
        for (int i = 0; i < 4; i++) {
            s[i] = s[i + 1];
        }
  
        s[4] = c;
    }
}
  
// Driver code
int main()
{
    int n = 5, m = 5;
  
    printMatrix(n, m);
  
    return 0;
}

Java




// Java implementation of the approach
class GFG 
{
  
// Function to print the required matrix
static void printMatrix(int n, int m)
{
  
    // Impossible to generate
    // the required matrix
    if (n < 5 || m < 5
    {
        System.out.print(-1);
        return;
    }
  
    // Store all the vowels
    char[] s = "aeiou".toCharArray();
  
    // Print the matrix
    for (int i = 0; i < n; i++) 
    {
  
        // Print vowels for every index
        for (int j = 0; j < m; j++) 
        {
            System.out.print(s[j % 5] + " ");
        }
        System.out.println();
        char c = s[0];
  
        // Shift the vowels by one
        for (int k = 0; k < 4; k++) 
        {
            s[k] = s[k + 1];
        }
  
        s[4] = c;
    }
}
  
// Driver code
public static void main(String[] args) 
{
    int n = 5, m = 5;
  
    printMatrix(n, m);
}
}
  
// This code has been contributed by 29AjayKumar

Python3




# Python3 implementation of the approach 
  
# Function to print the required matrix 
def printMatrix(n, m) : 
  
    # Impossible to generate 
    # the required matrix 
    if (n < 5 or m < 5) : 
        print(-1,end = " "); 
        return
      
  
    # Store all the vowels 
    s = "aeiou"
    s = list(s);
  
    # Print the matrix 
    for i in range(n) :
          
        # Print vowels for every index 
        for j in range(m) :
            print(s[j % 5],end= " "); 
      
        print() 
        c = s[0]; 
  
        # Shift the vowels by one 
        for i in range(4) :
            s[i] = s[i + 1]; 
          
        s[4] = c; 
  
  
# Driver code 
if __name__ == "__main__"
  
    n = 5; m = 5
  
    printMatrix(n, m); 
  
# This code is contributed by AnkitRai01

C#




// C# implementation of the approach
using System;
  
class GFG 
  
// Function to print the required matrix 
static void printMatrix(int n, int m) 
  
    // Impossible to generate 
    // the required matrix 
    if (n < 5 || m < 5) 
    
        Console.Write(-1); 
        return
    
  
    // Store all the vowels 
    char[] s = "aeiou".ToCharArray(); 
  
    // Print the matrix 
    for (int i = 0; i < n; i++) 
    
  
        // Print vowels for every index 
        for (int j = 0; j < m; j++) 
        
            Console.Write(s[j % 5] + " "); 
        
        Console.WriteLine(); 
        char c = s[0]; 
  
        // Shift the vowels by one 
        for (int k = 0; k < 4; k++) 
        
            s[k] = s[k + 1]; 
        
  
        s[4] = c; 
    
  
// Driver code 
public static void Main(String[] args) 
    int n = 5, m = 5; 
  
    printMatrix(n, m); 
  
/* This code contributed by PrinciRaj1992 */

PHP




<?php 
// PHP implementation of the approach
  
// Function to print the required matrix
function printMatrix($n, $m)
{
  
    // Impossible to generate
    // the required matrix
    if ($n < 5 || $m < 5) 
    {
        echo -1;
        return;
    }
  
    // Store all the vowels
    $s = "aeiou";
  
    // Print the matrix
    for ($i = 0; $i < $n; $i++) 
    {
  
        // Print vowels for every index
        for ($j = 0; $j < $m; $j++) 
        {
            echo $s[$j % 5] . " ";
        }
        echo "\n";
        $c = $s[0];
  
        // Shift the vowels by one
        for ($k = 0; $k < 4; $k++) 
        {
            $s[$k] = $s[$k + 1];
        }
  
        $s[4] = $c;
    }
}
  
// Driver code
  
    $n = 5;
    $m = 5;
  
    printMatrix($n, $m);
  
    return 0;
      
// This code is contributed by ChitraNayal    
?>
Output:
a e i o u 
e i o u a 
i o u a e 
o u a e i 
u a e i o

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