Recursive Function
1. The problem is to determine the output of the Python function call \texttt{func(3,3)} given the recursive function definition:
\texttt{def func(x,y):\n if (x == 0):\n return y\n else:\n return func(x-1, x+y)}
2. The function \texttt{func} takes two arguments \(x\) and \(y\). It checks if \(x = 0\). If yes, it returns \(y\). Otherwise, it calls itself recursively with \(x-1\) and \(x + y\).
3. Let's evaluate \texttt{func(3,3)} step-by-step:
- \(func(3,3)\) calls \(func(2, 3+3) = func(2,6)\)
- \(func(2,6)\) calls \(func(1, 2+6) = func(1,8)\)
- \(func(1,8)\) calls \(func(0, 1+8) = func(0,9)\)
- \(func(0,9)\) returns \(9\) because \(x=0\)
4. Therefore, the final returned value is \(9\).
This function effectively sums the integers from \(x\) down to 1 and adds the initial \(y\).