Step by Step solution about How to resolve the algorithm Sudan function step by step in the C# programming language

This C# program defines a recursive function F that takes three integer arguments: n, x, and y, and calculates a value based on these arguments. The program prints the result of calling this function with specific values of n, x, and y. Here's a breakdown of the code:

1. Function F:

   • The F function takes three integer arguments: n, x, and y.
   • It uses a recursive algorithm to calculate a value based on these arguments.
   • The function has three base cases:
     • If n is equal to 0, it returns x + y.
     • If y is equal to 0, it returns x.
     • If neither of the base cases is met, it recursively calls the F function with updated arguments and returns the result.
   • In the recursive case, it calls F three times:
     • F(n - 1, F(n, x, y - 1), F(n, x, y - 1) + y)
   • The first recursive call reduces the value of n by 1.
   • The second and third recursive calls are identical and involve calling F with n, x, and y - 1. The result of the third call is then added to y before being passed to the second recursive call.

2. Main Method:

   • The Main method is the entry point of the program.
   • It calls the F function with n = 1, x = 3, and y = 3 and assigns the result to a variable.
   • Finally, it prints the calculated value to the console.

3. Example Usage:

   • In the example provided in the Main method, the F function is called with n = 1, x = 3, and y = 3.
   • The result of this function call is printed to the console as "F(1,3,3) = 13".

Overall, this program demonstrates recursion in C# by defining a recursive function F that calculates a value based on the given inputs and showcases its usage in a practical example.

//Aamrun, 11th July 2022

using System;

namespace Sudan
{
  class Sudan
  {
  	static int F(int n,int x,int y) {
  		if (n == 0) {
    		return x + y;
  		}
 
  		else if (y == 0) {
    		return x;
  		}
 
  		return F(n - 1, F(n, x, y - 1), F(n, x, y - 1) + y);
	}
    
    static void Main(string[] args)
    {
      Console.WriteLine("F(1,3,3) = " + F(1,3,3));    
    }
  }
}