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Generate Parentheses
Medium Accuracy: 77.27% Submissions: 3282 Points: 4

Given an integer N representing the number of pairs of parentheses, the task is to generate all combinations of well-formed(balanced) parentheses.


Example 1:

Input:
N = 3
Output:
((()))
(()())
(())()
()(())
()()()
Example 2:
Input:
N = 1
Output:
()

Your Task:  
You don't need to read input or print anything. Complete the function AllParenthesis() which takes N as input parameter and returns the list of balanced parenthesis.

Expected Time Complexity: O(2N).
Expected Auxiliary Space: O(2*N*X), X = Number of valid Parenthesis.

Constraints:
1 ≤ N ≤ 12

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Generate Parentheses

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