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++ implementation for // above approach #include <bits/stdc++.h> using namespace std;
// Function to find the // nth 360-gon Number int gonNum360( int n)
{ return (358 * n * n - 356 * n) / 2;
} // Driver Code int main()
{ int n = 3;
cout << gonNum360(n);
return 0;
} |
// Java program for above approach class GFG{
// Function to find the // nth 360-gon Number static 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 implementation for # above approach # Function to find the # nth 360-gon Number def gonNum360(n):
return ( 358 * n * n - 356 * n) / / 2 ;
# Driver Code n = 3 ;
print (gonNum360(n));
# This code is contributed by Code_Mech |
// C# program for above approach using System;
class GFG{
// Function to find the // nth 360-gon Number static 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 |
<script> // JavaScript implementation for // above approach // Function to find the // nth 360-gon Number function gonNum360(n)
{ return (358 * n * n - 356 * n) / 2;
} // Driver Code var n = 3;
document.write(gonNum360(n)); </script> |
Output:
1077
Reference: https://en.wikipedia.org/wiki/360-gon