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from typing import List
class Solution:
def generateParenthesis(self, n: int) -> List[str]:
res = []
solution = [""] * 2 * n
def dfs(left: int, right: int):
if right == n:
res.append("".join(solution))
return
if left < n:
solution[left + right] = "("
dfs(left + 1, right)
if right < left:
solution[left + right] = ")"
dfs(left, right + 1)
dfs(0, 0)
return res