中心十边形数-yiteyi-C++库

给定一个数字n，找到 N 中心十边数。 A. 中心十边形数 是一个居中的数字，代表一个十边形，中心有点，周围有连续十边形的所有其他点。来源 [维基] .

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Center Decagonal number

前几个以十边形为中心的数字是： 1, 11, 31, 61, 101, 151, 211, 281, 361, 451, 551, 661………… 例如：

Input :  3Output : 31Input : 6Output : 151

推荐：请尝试你的方法 {IDE} 首先，在进入解决方案之前。

在数学中，以十角数为中心 第n位 术语由以下公式给出：

下面是上述想法的基本实现。

C++

                         // Program to find nth                       
                         // centered decagonal                       
                         // number                       
                         #include <bits/stdc++.h>                       
                         using                                     namespace                                     std;                       
           
                         // Centered decagonal                       
                         // number function                       
           
                         int                                     centereddecagonalnum(                                     int                                     n)                       
                         {                       
                                                 // Formula to calculate nth                       
                                                 // centered decagonal number &                       
                                                 // return it into main function.                       
                                                 return                                     (5 * n * n + 5 * n + 1);                       
                         }                       
           
                         // Driver Code                       
                         int                                     main()                       
                         {                       
                                                 int                                     n = 5;                       
                                                 cout << n <<                                     "th centered decagonal"                       
                                                 <<                                     "number: "                                     ;                       
                                                 cout << centereddecagonalnum(n);                       
                                                 cout << endl;                       
                                                 n = 9;                       
                                                 cout << n <<                                     "th centered decagonal"                       
                                                 <<                                     "number: "                                     ;                       
                                                 cout << centereddecagonalnum(n);                       
           
                                                 return                                     0;                       
                         }                       

JAVA

                         // Java Program to find nth                       
                         // centered decagonal number                       
                         import                                     java.io.*;                       
           
                         class                                     GFG                       
                         {                       
                                   
                                                 // Centered decagonal                       
                                                 // number function                       
                                                 static                                     int                                     centereddecagonalnum(                                     int                                     n)                       
                                                 {                       
                                   
                                                 // Formula to calculate nth                       
                                                 // centered decagonal number &                       
                                                 // return it into main function.                       
                                                 return                                     (                                     5                                     * n * n +                                     5                                     * n +                                     1                                     );                       
                                                 }                       
           
                                                 // Driver Code                       
                                                 public                                     static                                     void                                     main (String[] args)                       
                                                 {                       
                                                 int                                     n =                                     5                                     ;                       
                                                 System.out.print(n +                                     "th centered "                                     +                       
                                                 "decagonal number: "                                     );                       
                                                 System.out.println(centereddecagonalnum(n));                       
           
                                                 n =                                     9                                     ;                       
                                                 System.out.print(n +                                     "th centered "                                     +                       
                                                 "decagonal number: "                                     );                       
                                                 System.out.println(centereddecagonalnum(n));                       
                                                 }                       
                         }                       
           
                         // This code is contributed by m_kit                       

Python3

                         # Program to find nth                       
                         # centered decagonal number                       
           
                         # Centered decagonal                       
                         # number function                       
                         def                                     centereddecagonalnum(n) :                       
                                   
                                                 # Formula to calculate                       
                                                 # nth centered decagonal                       
                                                 # number & return it                       
                                                 # into main function.                       
                                                 return                                     (                                     5                                     *                                     n                                     *                                     n                                     +                       
                                                 5                                     *                                     n                                     +                                     1                                     )                       
           
                         # Driver Code                       
                         if                                     __name__                                     =                                     =                                     '__main__'                                     :                       
                                   
                                                 n                                     =                                     5                       
                                                 print                                     (n,                                     "th centered decagonal "                                     +                       
                                                 "number : "                                     ,                       
                                                 centereddecagonalnum(n))                       
           
                                                 n                                     =                                     9                       
                                                 print                                     (n,                                     "th centered decagonal "                                     +                       
                                                 "number : "                                     ,                       
                                                 centereddecagonalnum(n))                       
                                   
                         # This code is contributed by m_kit                       

C#

                         // Program to find nth                       
                         // centered decagonal                       
                         // number                       
                         using                                     System;                       
           
                         class                                     GFG                       
                         {                       
                         // Centered decagonal                       
                         // number function                       
                         static                                     int                                     centereddecagonalnum(                                     int                                     n)                       
                         {                       
                                                 // Formula to calculate nth                       
                                                 // centered decagonal number &                       
                                                 // return it into main function.                       
                                                 return                                     (5 * n * n + 5 * n + 1);                       
                         }                       
           
                         // Driver Code                       
                         static                                     public                                     void                                     Main ()                       
                         {                       
                         int                                     n = 5;                       
                         Console.Write(n +                                     "th centered decagonal"                                     +                       
                                                 "number: "                                     );                       
                         Console.WriteLine(centereddecagonalnum(n));                       
           
                         n = 9;                       
                         Console.Write(n +                                     "th centered decagonal"                                     +                       
                                                 "number: "                                     );                       
                         Console.WriteLine(centereddecagonalnum(n));                       
                         }                       
                         }                       
           
                         // This code is contributed by aj_36                       

PHP

                         <?php                       
                         // Program to find nth                       
                         // centered decagonal number                       
           
                         // Centered decagonal                       
                         // number function                       
                         function                                     centereddecagonalnum(                                     $n                                     )                       
                         {                       
                                                 // Formula to calculate                       
                                                 // nth centered decagonal                       
                                                 // number & return it                       
                                                 // into main function.                       
                                                 return                                     (5 *                                     $n                                     *                                     $n                                     +                       
                                                 5 *                                     $n                                     + 1);                       
                         }                       
           
                         // Driver Code                       
                         $n                                     = 5;                       
                         echo                                     $n                                     ,                                     "th centered decagonal"                                     ,                       
                                                 "number: "                                     ;                       
                         echo                                     centereddecagonalnum(                                     $n                                     );                       
                         echo                                     ""                                     ;                       
           
                         $n                                     = 9;                       
                         echo                                     $n                                     ,                                     "th centered decagonal"                                     ,                       
                                                 "number: "                                     ;                       
                         echo                                     centereddecagonalnum(                                     $n                                     );                       
           
                         // This code is contributed by ajit                       
                         ?>                       

Javascript

                         <script>                       
           
                         // Javascript Program to find nth                       
                         // centered decagonal number                       
           
                         // Centered decagonal                       
                         // number function                       
                         function                                     centereddecagonalnum(n)                       
                         {                       
                                   
                                                 // Formula to calculate nth                       
                                                 // centered decagonal number &                       
                                                 // return it into main function.                       
                                                 return                                     (5 * n * n + 5 * n + 1);                       
                         }                       
           
                         // Driver Code                       
                         var                                     n = 5;                       
                         document.write(n +                                     "th centered "                                     +                       
                                                 "decagonal number: "                                     );                       
                         document.write(centereddecagonalnum(n) +                                     "<br>"                                     );                       
           
                         n = 9;                       
                         document.write(n +                                     "th centered "                                     +                       
                                                 "decagonal number: "                                     );                       
                         document.write(centereddecagonalnum(n));                       
           
                         // This code is contributed by Kirti                       
                                   
                         </script>                       

输出

5th centered decagonalnumber: 1519th centered decagonalnumber: 451

时间复杂性： O（1） 辅助空间： O（1）

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