Given a number N, the task is to find Nth 360-gon number.
A 360-gon number is a class of figurate numbers. It has a 360-sided polygon called 360-gon. The N-th 360-gon number count’s the 360 number of dots and all other dots are surrounding with a common sharing corner and make a pattern. The first few 360-gon numbers are 1, 360, 1077, 2152, 3585, 5376, …
Examples:
Input: N = 2
Output: 360
Explanation:
The second 360-gonol number is 360.
Input: N = 3
Output: 1077
Approach: The N-th 360-gon number is given by the formula:
- Nth term of s sided polygon =
- Therefore Nth term of 360 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 360-gon Numberint gonNum360(int n){ return (358 * n * n - 356 * n) / 2;}// Driver Codeint main(){ int n = 3; cout << gonNum360(n); return 0;} |
Java
// Java program for above approachclass GFG{ // Function to find the // nth 360-gon Numberstatic int gonNum360(int n) { return (358 * n * n - 356 * n) / 2;} // Driver code public static void main(String[] args) { int n = 3; System.out.print(gonNum360(n)); } } // This code is contributed by shubham |
Python3
# Python3 implementation for # above approach# Function to find the # nth 360-gon Numberdef gonNum360(n): return (358 * n * n - 356 * n) // 2;# Driver Coden = 3;print(gonNum360(n));# This code is contributed by Code_Mech |
C#
// C# program for above approachusing System;class GFG{ // Function to find the // nth 360-gon Numberstatic int gonNum360(int n) { return (358 * n * n - 356 * n) / 2;} // Driver code public static void Main(String[] args) { int n = 3; Console.Write(gonNum360(n)); } } // This code is contributed by sapnasingh4991 |
Javascript
<script>// JavaScript implementation for // above approach// Function to find the // nth 360-gon Numberfunction gonNum360(n){ return (358 * n * n - 356 * n) / 2;}// Driver Codevar n = 3;document.write(gonNum360(n));</script> |
Output:
1077
Reference: https://en.wikipedia.org/wiki/360-gon
