What does the following function do?int fun(int x, int y){ if (y == 0...
The function adds x to itself y times which is x*y.
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What does the following function do?int fun(int x, int y){ if (y == 0...
Explanation:
The given function is a recursive function that calculates the product of two numbers, x and y. Let's break down the code and understand how it works.
1. Base Case:
The function starts with a base case that checks if the value of y is equal to 0. If it is, the function returns 0. This is the stopping condition for the recursion.
2. Recursive Case:
If the base case is not satisfied, the function calls itself recursively with the parameters x and y-1. In each recursive call, the value of y is reduced by 1 until it reaches 0.
3. Return Value:
In each recursive call, the function multiplies the value of x with the result of the recursive call (i.e., fun(x, y-1)). This is done recursively until the base case is reached.
4. Example:
Let's take an example to understand how the function works. Suppose we have x = 3 and y = 4.
- The first call to the function is fun(3, 4).
- Since y is not 0, the function goes to the recursive case and calls fun(3, 3).
- Again, y is not 0, so the function calls fun(3, 2).
- This process continues until y becomes 0. At that point, the base case is satisfied, and the function returns 0.
- Now, in the previous recursive call, the value of y is 1. So, the function returns x * fun(x, y-1), i.e., 3 * 0 = 0.
- Similarly, in the initial call, the function returns x * fun(x, y-1), i.e., 3 * 0 = 0.
5. Final Result:
In the end, the function returns the product of x and y, which is 3 * 4 = 12.
Therefore, the correct answer is option 'C' (x * y), as the function calculates the product of the two input numbers using recursion.
What does the following function do?int fun(int x, int y){ if (y == 0...
Function Explanation:
The given function is a recursive function that takes two integer parameters, x and y. It calculates the product of x and y using recursion.
Function Algorithm:
1. Check if the value of y is equal to 0.
- If true, return 0.
- This is the base case of the recursion.
2. If y is not equal to 0, recursively call the function with the arguments x and y-1.
3. Multiply the value of x with the result of the recursive call.
4. Return the product.
Function Execution:
Let's understand the execution of the function with an example:
Suppose we call the function with the values x = 3 and y = 4.
1. Initial call: fun(3, 4)
2. Recursive call 1: fun(3, 3)
3. Recursive call 2: fun(3, 2)
4. Recursive call 3: fun(3, 1)
5. Recursive call 4: fun(3, 0)
At this point, the base case is reached because y = 0.
6. Return 0
7. Multiply x (which is 3 in this case) with the result of the recursive call (which is 0).
8. Return the product: 3 * 0 = 0
So, the final result is 0.
Function Output:
The function returns the product of x and y, which is x * y.
Therefore, the correct answer is option C: x * y.