**Problem Statement:**
Given the required input arguments, write an efficient algorithm to solve the **Generate Parentheses** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge.
**Hint / Expected Approach:**
DFS: open if open<n, close if close<open
**Edge Cases to Consider:**
- (1) n = 0
- (2) n = 1
- (3) Very large n (exponential output)