中心八角数-yiteyi-C++库

给定一个数字n，找到 N 居中的八角数。这个 中心八角数 表示中心的一个点，其他点以八边形（18边多边形）的连续层排列在其周围。

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center_octadecagon_num

例如：

Input :  2Output : 19Input : 6Output : 271

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，以八角数为中心的 第n位 术语由以下公式给出：

以下是上述理念的基本实现：

C++

                         // C++ Program to find the                       
                         // nth centered octadecagonal                       
                         // number                       
                         #include <bits/stdc++.h>                       
                         using                                     namespace                                     std;                       
           
                         // centered octadecagon  function                       
                         int                                     center_octadecagon_num(                                     long                                     int                                     n)                       
                         {                       
                                                 // Formula to calculate nth                       
                                                 // centered octadecagonal number                       
                                                 return                                     9 * n * n - 9 * n + 1;                       
                         }                       
           
                         // Driver Code                       
                         int                                     main()                       
                         {                       
                                                 long                                     int                                     n = 3;                       
                                                 cout << n <<                                     "th centered octadecagonal number : "                       
                                                 << center_octadecagon_num(n);                       
                                                 cout << endl;                       
                                                 n = 13;                       
                                                 cout << n <<                                     "th centered octadecagonal number : "                       
                                                 << center_octadecagon_num(n);                       
           
                                                 return                                     0;                       
                         }                       

JAVA

                         // Java Program to find the                       
                         // nth centered octadecagonal                       
                         // number                       
                         import                                     java.io.*;                       
           
                         class                                     GFG                       
                         {                       
                                   
                         // centered octadecagon function                       
                         static                                     int                                     center_octadecagon_num(                                     int                                     n)                       
                         {                       
                                   
                                                 // Formula to calculate nth                       
                                                 // centered octadecagonal number                       
                                                 return                                     9                                     * n * n -                                     9                                     * n +                                     1                                     ;                       
                         }                       
           
                         // Driver Code                       
                         public                                     static                                     void                                     main (String[] args)                       
                         {                       
                         int                                     n =                                     3                                     ;                       
                         System.out.print(n +                                     "th centered "                                     +                       
                                                 "octadecagonal number : "                                     );                       
                         System.out.println(center_octadecagon_num(n));                       
           
                         n =                                     13                                     ;                       
                         System.out.print(n +                                     "th centered "                                     +                       
                                                 "octadecagonal number : "                                     );                       
                         System.out.println(center_octadecagon_num(n));                       
                         }                       
                         }                       
           
                         // This code is contributed by ajit                       

Python3

                         # Program to find nth                       
                         # centered octadecagonal number                       
           
                         # Centered octadecagonal                       
                         # number function                       
                         def                                     center_octadecagon_num(n) :                       
                                   
                                                 # Formula to calculate                       
                                                 # nth centered octadecagonal                       
                                                 # number & return it                       
                                                 # into main function.                       
                                                 return                                     (                                     9                                     *                                     n                                     *                                     n                                     -                       
                                                 9                                     *                                     n                                     +                                     1                                     )                       
           
                         # Driver Code                       
                         if                                     __name__                                     =                                     =                                     '__main__'                                     :                       
                                   
                                                 n                                     =                                     3                       
                                                 print                                     (n,                                     "rd centered octadecagonal "                                     +                       
                                                 "number : "                                     ,                       
                                                 center_octadecagon_num(n))                       
           
                                                 n                                     =                                     13                       
                                                 print                                     (n,                                     "th centered octadecagonal "                                     +                       
                                                 "number : "                                     ,                       
                                                 center_octadecagon_num(n))                       
                                   
                         # This code is contributed                       
                         # by akt_mit                       

C#

                         // C# Program to find the                       
                         // nth centered octadecagonal                       
                         // number                       
                         using                                     System;                       
           
                         class                                     GFG                       
                         {                       
                                   
                         // centered octadecagon function                       
                         static                                     int                                     center_octadecagon_num(                                     int                                     n)                       
                         {                       
                                   
                                                 // Formula to calculate nth                       
                                                 // centered octadecagonal number                       
                                                 return                                     9 * n * n - 9 * n + 1;                       
                         }                       
           
                         // Driver Code                       
                         static                                     public                                     void                                     Main ()                       
                         {                       
                                   
                                                 int                                     n = 3;                       
                                                 Console.Write( n +                                     "th centered "                                     +                       
                                                 "octadecagonal number : "                                     );                       
                                                 Console.WriteLine( center_octadecagon_num(n));                       
           
                                                 n = 13;                       
                                                 Console.Write( n +                                     "th centered "                                     +                       
                                                 "octadecagonal number : "                                     );                       
                                                 Console.WriteLine(center_octadecagon_num(n));                       
                         }                       
                         }                       
           
                         // This code is contributed by aj_36.                       

PHP

                         <?php                       
                         // PHP Program to find the                       
                         // nth centered octadecagonal                       
                         // number                       
           
                         // centered octadecagon function                       
                         function                                     center_octadecagon_num(                                     $n                                     )                       
                         {                       
                                                 // Formula to calculate nth                       
                                                 // centered octadecagonal number                       
                                                 return                                     (9 *                                     $n                                     *                                     $n                                     -                       
                                                 9 *                                     $n                                     + 1);                       
                         }                       
           
                         // Driver Code                       
                         $n                                     = 3;                       
                         echo                                     $n                                     ,                                     "th centered octadecagonal "                                     .                       
                                                 "number : "                                     ,                       
                                                 center_octadecagon_num(                                     $n                                     );                       
                         echo                                     ""                                     ;                       
           
                         $n                                     = 13;                       
                         echo                                     $n                                     ,                                     "th centered octadecagonal "                                     .                       
                                                 "number : "                                     ,                       
                                                 center_octadecagon_num(                                     $n                                     );                       
           
                         // This code is contributed by m_kit                       
                         ?>                       

Javascript

                         <script>                       
           
                         // Javascript program to find the                       
                         // nth centered octadecagonal                       
                         // number                       
           
                         // centered octadecagon function                       
                         function                                     center_octadecagon_num(n)                       
                         {                       
                                   
                                                 // Formula to calculate nth                       
                                                 // centered octadecagonal number                       
                                                 return                                     9 * n * n - 9 * n + 1;                       
                         }                       
           
           
                         // Driver Code                       
                         var                                     n = 3;                       
                         document.write(n +                                     "th centered "                                     +                       
                                                 "octadecagonal number : "                                     );                       
                         document.write(center_octadecagon_num(n) +                                     "<br>"                                     );                       
           
                         n = 13;                       
                         document.write(n +                                     "th centered "                                     +                       
                                                 "octadecagonal number : "                                     );                       
                         document.write(center_octadecagon_num(n));                       
           
                         // This code is contributed by Kirti                       
                                   
                         </script>                       

输出：

3th centered octadecagonal number : 5513th centered octadecagonal number : 1405

时间复杂性： O（1） 辅助空间： O（1）

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