六角数字

原文:https://www.geeksforgeeks.org/hexacontagon-number/

给定一个数字 N ，任务是找到NthT5六角数字。

一个六角数是一类图形数。它有 60 边的多边形，叫做六边形。第 N 个六角点计数是 60 个点，所有其他点都被一个公共的共享角包围并形成一个图案。前几个十六进制数字是 1，60，177，352……

例:

输入: N = 2 输出: 60 说明: 第二个六连字符数是 60。 输入: N = 3 输出: 177

方法:第 N 个六价数由公式给出:

  • s 边多边形的第 n 项= \frac{((s-2)n^2 - (s-4)n)}{2}

  • 因此 60 边多边形的第 n 项是

Tn =\frac{((60-2)n^2 - (60-4)n)}{2} =\frac{(58n^2 - 56)}{2}

以下是上述方法的实现:

C++

// C++ program for above approach
#include <iostream>
using namespace std;

// Finding the nth hexacontagon number
int hexacontagonNum(int n)
{
    return (58 * n * n - 56 * n) / 2;
}

// Driver code
int main()
{
    int n = 3;
    cout << "3rd hexacontagon Number is = "
         << hexacontagonNum(n);

    return 0;
}

// This code is contributed by shubhamsingh10

C

// C program for above approach
#include <stdio.h>
#include <stdlib.h>

// Finding the nth hexacontagon Number
int hexacontagonNum(int n)
{
    return (58 * n * n - 56 * n) / 2;
}

// Driver program to test above function
int main()
{
    int n = 3;
    printf("3rd hexacontagon Number is = %d",
           hexacontagonNum(n));

    return 0;
}

Java 语言(一种计算机语言，尤用于创建网站)

// Java program for above approach
class GFG{

// Finding the nth hexacontagon number
public static int hexacontagonNum(int n)
{
    return (58 * n * n - 56 * n) / 2;
}

// Driver code
public static void main(String[] args)
{
    int n = 3;
    System.out.println("3rd hexacontagon Number is = " +
                                    hexacontagonNum(n));
}
}

// This code is contributed by divyeshrabadiya07   

Python 3

# Python3 program for above approach

# Finding the nth hexacontagon Number
def hexacontagonNum(n):

    return (58 * n * n - 56 * n) // 2

# Driver Code
n = 3
print("3rd hexacontagon Number is = ",
                  hexacontagonNum(n));

# This code is contributed by divyamohan123

C

// C# program for above approach
using System;

class GFG{

// Finding the nth hexacontagon number
public static int hexacontagonNum(int n)
{
    return (58 * n * n - 56 * n) / 2;
}

// Driver code
public static void Main()
{
    int n = 3;
    Console.Write("3rd hexacontagon Number is = " +
                               hexacontagonNum(n));
}
}

// This code is contributed by Code_Mech

java 描述语言

<script>

// Javascript program for above approach

// Finding the nth hexacontagon number
function hexacontagonNum(n)
{
    return (58 * n * n - 56 * n) / 2;
}

// Driver code
var n = 3;
document.write("3rd hexacontagon Number is = " +hexacontagonNum(n));

</script>

Output: 

3rd hexacontagon Number is = 177

时间复杂度: O(1)

辅助空间: O(1)

参考资料:https://en . Wikipedia . org/wiki/hexagon

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