Given an integer N, the task is to find the largest even and odd N-digit numbers in Octal Number System.
Examples:
Input: N = 4
Output:
Even : 7776
Odd : 7777
Input: N = 2
Output:
Even : 76
Odd : 77
Approach: To get the largest number, the digits of the number have to be maximum possible. Since in the octal number system, the maximum digit is ‘7’. So, generate ‘7’ (N – 1) times and then append ‘6’ for even and ‘7’ for odd in the end.
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 largest n-digit even// and odd numbers in octal number systemvoid findNumbers(int n){ // Append '7' (N - 1) times string ans = string(n - 1, '7'); // Append '6' for an even number string even = ans + '6'; // Append '7' for an odd number string odd = ans + '7'; cout << "Even : " << even << endl; cout << "Odd : " << odd << endl;}// Driver codeint main(){ int n = 4; findNumbers(n); return 0;} |
Java
// Java implementation of the approachimport java.io.*;class GFG {// Function to print the largest n-digit even// and odd numbers in octal number systemstatic void findNumbers(int n){ // Append '7' (N - 1) times String ans = ""; for (int i = 0; i < n - 1; i++) ans += '7'; // Append '6' for an even number String even = ans + '6'; // Append '7' for an odd number String odd = ans + '7'; System.out.println("Even : " + even); System.out.println("Odd : " + odd);}// Driver codepublic static void main(String args[]) { int n = 4; findNumbers(n);}}// This code is contributed by 29AjayKumar |
Python3
# Python3 implementation of the approach ; # Function to print the largest n-digit even # and odd numbers in octal number system def findNumbers(N) : # Append '7' (N - 1) times ans = '7' * (N - 1) # Append '6' for an even number even = ans + '6'; # Append '7' for an odd number odd = ans + '7'; print("Even : ", even); print("Odd : ", odd ); # Driver code if __name__ == "__main__" : n = 4; findNumbers(n); # This code is contributed by AnkitRai01 |
C#
// C# implementation of the approachusing System; class GFG {// Function to print the largest n-digit even// and odd numbers in octal number systemstatic void findNumbers(int n){ // Append '7' (N - 1) times String ans = ""; for (int i = 0; i < n - 1; i++) ans += '7'; // Append '6' for an even number String even = ans + '6'; // Append '7' for an odd number String odd = ans + '7'; Console.WriteLine("Even : " + even); Console.WriteLine("Odd : " + odd);}// Driver codepublic static void Main(String []args) { int n = 4; findNumbers(n);}}// This code is contributed by 29AjayKumar |
Javascript
<script>// Javascript implementation of the approach // Function to print the largest n-digit even // and odd numbers in octal number system function findNumbers(n) { // Append '7' (N - 1) times var ans = ""; for (var i = 0; i < n - 1; i++) ans += '7'; // Append '6' for an even number var even = ans + '6'; // Append '7' for an odd number var odd = ans + '7'; document.write("Even : " + even + "<br>"); document.write("Odd : " + odd + "<br>"); } // Driver code var n = 4; findNumbers(n); // This code is contributed by Mayank Tyagi</script> |
Output:
Even : 7776 Odd : 7777
Time Complexity: O(n)
Auxiliary Space: O(1)
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