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題目:
數字n
代表生成括號的對數,請你設計一個函數,用於能夠生成所有可能的並且有效的
括號組合。
示例:
- 示例 1:
輸入:n = 3 輸出:[ "((()))", "(()())", "(())()", "()(())", "()()()" ]
代碼
方法一: 深度優先遍歷 題解
執行用時:40 ms, 在所有 Python3 提交中擊敗了83.34%的用戶
內存消耗:13.9 MB, 在所有 Python3 提交中擊敗了6.06%的用戶
from typing import List
class Solution:
def generateParenthesis(self, n: int) -> List[str]:
res = []
cur_str = ''
def dfs(cur_str, left, right):
"""
:param cur_str: 從根結點到葉子結點的路徑字符串
:param left: 左括號還可以使用的個數
:param right: 右括號還可以使用的個數
:return:
"""
if left == 0 and right == 0:
res.append(cur_str)
return
if right < left:
return
if left > 0:
dfs(cur_str + '(', left - 1, right)
if right > 0:
dfs(cur_str + ')', left, right - 1)
dfs(cur_str, n, n)
return res
"""
For Example: input: n = 3
output: [
"((()))",
"(()())",
"(())()",
"()(())",
"()()()"
]
"""
n = 3
solution = Solution()
result = solution.generateParenthesis(n)
print('輸出爲:', result)
方法二: 遞循環遍歷 題解
執行用時:52 ms, 在所有 Python3 提交中擊敗了29.10%的用戶
內存消耗:13.9 MB, 在所有 Python3 提交中擊敗了6.06%的用戶
from typing import List
class Solution:
def generateParenthesis(self, n: int) -> List[str]:
if n == 0:
return []
dp = [None for _ in range(n + 1)]
dp[0] = [""]
for i in range(1, n + 1):
cur = []
for j in range(i):
left = dp[j]
right = dp[i - j - 1]
for s1 in left:
for s2 in right:
cur.append("(" + s1 + ")" + s2)
dp[i] = cur
return dp[n]
"""
For Example: input: n = 3
output: [
"((()))",
"(()())",
"(())()",
"()(())",
"()()()"
]
"""
n = 3
solution = Solution()
result = solution.generateParenthesis(n)
print('輸出爲:', result)
參考
- https://leetcode-cn.com/problems/generate-parentheses/solution/hui-su-suan-fa-by-liweiwei1419/