4294967295-gon编号

4294967295-gon Number是一类数字。它具有一个4294967295边的多边形，称为4294967295-gon 。第N个4294967295角数计算4294967295点的数量，所有其他点都被一个公共的共享角包围并形成图案。
前几个4294967295-gonol号为：

1, 4294967295, 12884901882,… 
 

检查N是否是4294967295-gon数

给定数字N ，任务是找到^第N^个4294967295-gon数。
例子：

Input: N = 2 
Output: 4294967295 
Explanation: 
The second 4294967295-gonol number is 4294967295. 
Input: N = 3 
Output: 12884901882 
 

方法：第N个4294967295号多边形由以下公式给出：

• S面多边形的第N个项= $\frac{((S - 2)N^{2} - (S - 4)N)}{2}$
• 因此，第4294967295个面多边形的第N个项由下式给出：

$Tn =\frac{((4294967295 - 2)N^{2} - (4294967295 - 4)N)}{2} =\frac{(4294967293N^{2} - 4294967291N)}{2}$
 

下面是上述方法的实现：

C++

// C++ program to find N-th
// TetracontapentagonNum number
#include
using namespace std;
 
// Function to find the nth
// 4294967295-gon number
static long gonNum4294967295(int N)
{
    return (4294967293L * N *
        N - 4294967291L * N) / 2;
}
 
// Driver code
int main()
{
    int n = 3;
    cout << "3rd 4294967295-gon Number is "
         << gonNum4294967295(n);
}
 
// This code is contributed by Code_Mech

Java

// Java program to find N-th
// TetracontapentagonNum number
class GFG{
 
// Function to find the nth
// 4294967295-gon number
static long gonNum4294967295(int N)
{
    return (4294967293L * N *
        N - 4294967291L * N) / 2;
}
 
// Driver code
public static void main(String[] args)
{
    int n = 3;
    System.out.print("3rd 4294967295-gon Number is " +
                                 gonNum4294967295(n));
}
}
 
// This code is contributed by Pratima Pandey

Python3

# Python3 program to find the N-th
# 4294967295-gon number
 
# Function to find the N-th
# 4294967295-gon number
def gonNum4294967295(N):
 
    return (4294967293 * N * N - 4294967291 * N) // 2
 
# Driver Code
 
# Given Number
n = 3
 
# Function Call
print("3rd 4294967295-gon Number is ",
                gonNum4294967295(n))

C#

// C# program to find N-th
// TetracontapentagonNum number
using System;
class GFG{
 
// Function to find the nth
// 4294967295-gon number
static long gonNum4294967295(int N)
{
    return (4294967293L * N *
        N - 4294967291L * N) / 2;
}
 
// Driver code
public static void Main()
{
    int n = 3;
    Console.Write("3rd 4294967295-gon Number is " +
                              gonNum4294967295(n));
}
}
 
// This code is contributed by Code_Mech

Javascript

// Javascript program to find N-th
// TetracontapentagonNum number
 
    // Function to find the nth
    // 4294967295-gon number
    function gonNum4294967295(N)
    {
        return ((4294967293 * N * N ) - (4294967291 * N)) / 2;
    }
 
    // Driver code
      
    let n = 3;
    document.write("3rd 4294967295-gon Number is " + gonNum4294967295(n));
         
// This code is contributed by aashish1995

输出：

3rd 4294967295-gon Number is  12884901882