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## 题目地址 | ||
https://leetcode.com/problems/remove-invalid-parentheses/description/ | ||
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## 题目描述 | ||
``` | ||
Remove the minimum number of invalid parentheses in order to make the input string valid. Return all possible results. | ||
Note: The input string may contain letters other than the parentheses ( and ). | ||
Example 1: | ||
Input: "()())()" | ||
Output: ["()()()", "(())()"] | ||
Example 2: | ||
Input: "(a)())()" | ||
Output: ["(a)()()", "(a())()"] | ||
Example 3: | ||
Input: ")(" | ||
Output: [""] | ||
``` | ||
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## 思路 | ||
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我们的思路是先写一个函数用来判断给定字符串是否是有效的。 然后再写一个函数,这个函数 | ||
依次删除第i个字符,判断是否有效,有效则添加进最终的返回数组。 | ||
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这样的话实现的功能就是, 删除`一个` 小括号使之有效的所有可能。因此只需要递归调用`依次删除第i个字符`的功能就可以了。 | ||
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而且由于题目要求是要删除最少的小括号,因此我们的思路是使用广度优先遍历,而不是深度有限的遍历。 | ||
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## 关键点解析 | ||
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- 广度有限遍历 | ||
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- 使用队列简化操作 | ||
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- 使用一个visited的mapper, 来避免遍历同样的字符串 | ||
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## 代码 | ||
```js | ||
/* | ||
* @lc app=leetcode id=301 lang=javascript | ||
* | ||
* [301] Remove Invalid Parentheses | ||
* | ||
* https://leetcode.com/problems/remove-invalid-parentheses/description/ | ||
* | ||
* algorithms | ||
* Hard (38.52%) | ||
* Total Accepted: 114.3K | ||
* Total Submissions: 295.4K | ||
* Testcase Example: '"()())()"' | ||
* | ||
* Remove the minimum number of invalid parentheses in order to make the input | ||
* string valid. Return all possible results. | ||
* | ||
* Note: The input string may contain letters other than the parentheses ( and | ||
* ). | ||
* | ||
* Example 1: | ||
* | ||
* | ||
* Input: "()())()" | ||
* Output: ["()()()", "(())()"] | ||
* | ||
* | ||
* Example 2: | ||
* | ||
* | ||
* Input: "(a)())()" | ||
* Output: ["(a)()()", "(a())()"] | ||
* | ||
* | ||
* Example 3: | ||
* | ||
* | ||
* Input: ")(" | ||
* Output: [""] | ||
* | ||
*/ | ||
var isValid = function(s) { | ||
let openParenthes = 0; | ||
for(let i = 0; i < s.length; i++) { | ||
if (s[i] === '(') { | ||
openParenthes++; | ||
} else if (s[i] === ')') { | ||
if (openParenthes === 0) return false; | ||
openParenthes--; | ||
} | ||
} | ||
return openParenthes === 0; | ||
}; | ||
/** | ||
* @param {string} s | ||
* @return {string[]} | ||
*/ | ||
var removeInvalidParentheses = function(s) { | ||
if (!s || s.length === 0) return [""]; | ||
const ret = []; | ||
const queue = [s]; | ||
const visited = {}; | ||
let current = null; | ||
let removedParentheses = 0; // 只记录最小改动 | ||
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while ((current = queue.shift())) { | ||
let hit = isValid(current); | ||
if (hit) { | ||
if (!removedParentheses) { | ||
removedParentheses = s.length - current.length | ||
} | ||
if (s.length - current.length > removedParentheses) return ret.length === 0 ? [""] : ret;; | ||
ret.unshift(current); | ||
continue; | ||
} | ||
for (let i = 0; i < current.length; i++) { | ||
if (current[i] !== ')' && current[i] !== '(') continue; | ||
const subString = current.slice(0, i).concat(current.slice(i + 1)); | ||
if (visited[subString]) continue; | ||
visited[subString] = true; | ||
queue.push(subString); | ||
} | ||
} | ||
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return ret.length === 0 ? [""] : ret; | ||
}; | ||
``` | ||
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## 扩展 | ||
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相似问题: | ||
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[validParentheses](./validParentheses.md) |
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