Given a number N, the task is to find Nth 65537-gon number.
A 65537-gon number is a class of figurate numbers. It has a 65537-sided polygon called 65537-gon. The N-th 65537-gon number count’s the 65537 number of dots and all other dots are surrounding with a common sharing corner and make a pattern. The first few 65537-gon numbers are 1, 65537, 196608, 393214, 655355, 983031, …
Examples:
Input: N = 2
Output: 65537
Explanation:
The second 65537-gonol number is 65537.
Input: N = 3
Output: 196608
Approach: The N-th 65537-gon number is given by the formula:
- Nth term of s sided polygon =
- Therefore Nth term of 65537 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 65537-gon Numberint gonNum65537(int n){ return (65535 * n * n - 65533 * n) / 2;}// Driver Codeint main(){ int n = 3; cout << gonNum65537(n); return 0;} |
Java
// Java program for above approachclass GFG{ // Function to find the // nth 65537-gon Numberstatic int gonNum65537(int n) { return (65535 * n * n - 65533 * n) / 2;} // Driver code public static void main(String[] args) { int n = 3; System.out.print(gonNum65537(n)); } } // This code is contributed by shubham |
Python3
# Python3 implementation for # above approach# Function to find the # nth 65537-gon Numberdef gonNum65537(n): return (65535 * n * n - 65533 * n) // 2;# Driver Coden = 3;print(gonNum65537(n));# This code is contributed by Code_Mech |
C#
// C# program for above approachusing System;class GFG{ // Function to find the // nth 65537-gon Numberstatic int gonNum65537(int n) { return (65535 * n * n - 65533 * n) / 2;} // Driver code public static void Main(String[] args) { int n = 3; Console.Write(gonNum65537(n)); } } // This code is contributed by sapnasingh4991 |
Javascript
<script>// Javascript program for above approach // Function to find the // nth 65537-gon Number function gonNum65537( n) { return (65535 * n * n - 65533 * n) / 2; } // Driver code let n = 3; document.write(gonNum65537(n));// This code contributed by aashish1995 </script> |
Output:
196608
Reference: https://en.wikipedia.org/wiki/65537-gon
Feeling lost in the world of random DSA topics, wasting time without progress? It’s time for a change! Join our DSA course, where we’ll guide you on an exciting journey to master DSA efficiently and on schedule.
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 neveropen!
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 neveropen!
Share your thoughts in the comments