Count calls in recursive function evaluation
Company: Bitkernel
Role: Software Engineer
Category: Software Engineering Fundamentals
Difficulty: medium
Interview Round: Take-home Project
Consider the following recursive function in C-like pseudocode:
```c
int x(int n) {
if (n <= 3) return 1;
else return x(n - 2) + x(n - 4) + 1;
}
```
When computing `x(8)`, how many times in total is function `x` called (including the initial call `x(8)` itself)?
Quick Answer: This question evaluates understanding of recursion, recursive call trees, and counting function invocations to reason about runtime behavior. It is commonly asked in software engineering fundamentals interviews to assess reasoning about implicit call graphs and algorithmic cost; the domain tested is recursion and algorithmic analysis, and the level of abstraction is conceptual understanding rather than practical implementation.