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22. Generate Parentheses

Medium

Given n pairs of parentheses, write a function to generate all combinations of well-formed parentheses.

Example 1:

Input: n = 3

Output: [”((()))”,”(()())”,”(())()”,”()(())”,”()()()”]

Example 2:

Input: n = 1

Output: [”()”]

Constraints:

Solution

# @param {Integer} n
# @return {String[]}
def generate_parenthesis(n)
  res = []
  gen(res, '', n, 0, 0)

  res
end

def gen(res, str, n, open_num, close_num)
  res << str if close_num == n

  gen(res, "#{str})", n, open_num, close_num + 1) if close_num < open_num
  gen(res, "#{str}(", n, open_num + 1, close_num) if open_num < n
end