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

The provided C++ code defines a recursive function F and demonstrates its usage in the main function. Here's how the code works:

• Function F(int n, int x, int y):

  • This is a recursive function that takes three integer arguments: n, x, and y.
  • It uses if-else statements to handle different cases:
    • If n is equal to 0, it returns the sum of x and y.
    • If y is equal to 0, it returns x.
    • Otherwise, it makes two recursive calls to itself, one with y decremented by 1 and the other with both x and y decremented by 1. It then returns the result of the second recursive call plus y.

• main Function:

  • In the main function, the program calls F(1, 3, 3) and prints the result.

Example Execution:

When you run this program, it will calculate and print the value of F(1, 3, 3).

• The recursive calls will proceed as follows:
  • F(1, 3, 3) -> F(0, F(1, 3, 2), F(1, 3, 2) + 2) -> F(0, F(1, 3, 1), F(1, 3, 1) + 1) -> ...
• Eventually, it will reach the base case where n or y becomes 0 and will start returning values:
  • F(0, 6, 6) -> 6
  • F(1, 6, 5) -> 11
  • F(1, 11, 4) -> 15
• The final result will be: F(1, 3, 3) -> 15
• Therefore, it prints: F(1,3,3) = 15

//Aamrun , 11th July, 2022

#include <iostream>
using namespace std;

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);
}

int main() {
  cout << "F(1,3,3) = "<<F(1,3,3)<<endl;
  return 0;
}