居中七边形数
原文:https://www.geeksforgeeks.org/centered-heptagonal-number/
给定一个数字 n ，任务是找到第 n 个中心七边形数。 居中七边形数是表示一个七边形的居中图形数，该七边形以点为中心，所有其他点以七边形形式环绕。N 第个居中的七边数可用公式(7n2–7n+2)/2计算。 示例:
Input : n = 2
Output : 8
Input : n = 7
Output : 148
图示请参考本图。
下面是实现:
C++
// CPP program to find n-th
// Centered heptagonal number
#include <bits/stdc++.h>
using namespace std;
// Function to find Centered
// heptagonal number
int centered_heptagonal_num(long int n)
{
// Formula to calculate nth
// Centered heptagonal number
return (7 * n * n - 7 * n + 2) / 2;
}
// Driver Code
int main()
{
long int n = 5;
cout << n << "th Centered heptagonal number : ";
cout << centered_heptagonal_num(n);
return 0;
}
Java 语言(一种计算机语言，尤用于创建网站)
// Java program to find n-th Centered
// heptagonal number
import java.io.*;
class GFG {
// Function to find Centered heptagonal
// number
static long centered_heptagonal_num(long n)
{
// Formula to calculate nth
// Centered heptagonal number
return (7 * n * n - 7 * n + 2) / 2;
}
// Driver Code
public static void main (String[] args)
{
long n = 5;
System.out.println( n + "th Centered "
+ "heptagonal number : "
+ centered_heptagonal_num(n));
}
}
// This code is contributed by anuj_67.
Python 3
# Python program to find nth
# Centered heptagonal number
# Function to find Centered
# heptagonal number
def centered_heptagonal_num(n):
# Formula to calculate nth
# Centered heptagonal number
return (7 * n * n - 7 * n + 2) // 2
# Driver Code
n = 5
print("%sth Centered heptagonal number : " %n,
centered_heptagonal_num(n))
C
//C# program to find n-th Centered
// heptagonal number
using System;
class GFG {
// Function to find Centered heptagonal
// number
static long centered_heptagonal_num(long n)
{
// Formula to calculate nth
// Centered heptagonal number
return (7 * n * n - 7 * n + 2) / 2;
}
// Driver Code
public static void Main ()
{
long n = 5;
Console.WriteLine( n + "th Centered "
+ "heptagonal number : "
+ centered_heptagonal_num(n));
}
}
// This code is contributed by anuj_67.
服务器端编程语言（Professional Hypertext Preprocessor 的缩写）
<?php
// PHP program to find n-th
// Centered heptagonal number
// Function to find Centered
// heptagonal number
function centered_heptagonal_num($n)
{
// Formula to calculate nth
// Centered heptagonal number
return (7 * $n * $n - 7 *
$n + 2) / 2;
}
// Driver Code
$n = 5;
echo $n ,"th Centered heptagonal number : ";
echo centered_heptagonal_num($n);
// This code is contributed by m_kit
?>
java 描述语言
<script>
// Javascript program to find n-th
// Centered heptagonal number
// Function to find Centered
// heptagonal number
function centered_heptagonal_num(n)
{
// Formula to calculate nth
// Centered heptagonal number
return parseInt((7 * n * n - 7 * n + 2) / 2);
}
// Driver Code
let n = 5;
document.write(n + "th Centered heptagonal number : ");
document.write(centered_heptagonal_num(n));
// This code is contributed by rishavmahato348.
</script>
输出:
5th Centered heptagonal number : 71
时间复杂度:O(1) T3】辅助空间: O(1)
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