Given a number N, the task is to find Nth 120-gon number.
A 120-gon number is a class of figurate numbers. It has 120 – sided polygon called 120-gon. The N-th 120-gon number count’s the 120 number of dots and all other dots are surrounding with a common sharing corner and make a pattern. The first few 120-gon numbers are 1, 120, 357, 712, 1185, 1776, …
Examples:
Input: N = 2
Output: 120
Explanation:
The second 120-gonol number is 120.
Input: N = 3
Output: 357
Approach: The N-th 120-gon number is given by the formula:
- Nth term of s sided polygon =
- Therefore Nth term of 120 sided polygon is
Below is the implementation of the above approach:
C++
// C++ implementation for above approach#include <bits/stdc++.h>using namespace std;// Function to find the // nth 120-gon Numberint gonNum120(int n){ return (118 * n * n - 116 * n) / 2;}// Driver Codeint main(){ int n = 3; cout << gonNum120(n); return 0;} |
Java
// Java program for above approachclass GFG{ // Function to find the // nth 120-gon Numberstatic int gonNum120(int n) { return (118 * n * n - 116 * n) / 2;} // Driver code public static void main(String[] args) { int n = 3; System.out.print(gonNum120(n)); } } // This code is contributed by shubham |
Python3
# Python3 implementation for above approach# Function to find the # nth 120-gon Numberdef gonNum120(n): return (118 * n * n - 116 * n) // 2;# Driver Coden = 3;print(gonNum120(n));# This code is contributed by Code_Mech |
C#
// C# program for above approachusing System;class GFG{ // Function to find the // nth 120-gon Numberstatic int gonNum120(int n) { return (118 * n * n - 116 * n) / 2;} // Driver code public static void Main(String[] args) { int n = 3; Console.Write(gonNum120(n)); } } // This code is contributed by sapnasingh4991 |
Javascript
<script>// JavaScript implementation for above approach// Function to find the // nth 120-gon Numberfunction gonNum120(n){ return (118 * n * n - 116 * n) / 2;}// Driver Codevar n = 3;document.write(gonNum120(n));</script> |
Output:
357
Time Complexity: O(1)
Reference: https://en.wikipedia.org/wiki/120-gon
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