題目：

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?).

Examples:

"()())()" -> ["()()()", "(())()"] "(a)())()" -> ["(a)()()", "(a())()"] ")(" -> [""]

鏈接：?http://leetcode.com/problems/remove-invalid-parentheses/

題解：

給定String，去除invalid括號，輸出所有結果集。一開始想的是DFS + Backtracking，沒有堅持下去。后來在Discuss里發現了jeantimex大神的BFS方法非常好，于是搬過來借鑒。方法是我們每次去掉一個"("或者")"，然后把新的string加入到Queue里，繼續進行計算。要注意的是需要設置一個boolean foundResult，假如在這一層找到結果的話，我們就不再繼續進行下面的for循環了。這里應該還可以繼續剪枝一下，比如記錄當前這個結果的長度len，當queue里剩下的string長度比這個len小的話，我們不進行驗證isValid這一步。

Time Complexity - O(n * 2ⁿ)， Space Complexity - O(2ⁿ)

public class Solution {public List<String> removeInvalidParentheses(String s) {List<String> res = new ArrayList<>();if(s == null) {return res;}Queue<String> queue = new LinkedList<>();Set<String> visited = new HashSet<>();queue.offer(s);boolean foundResult = false;while(!queue.isEmpty()) {s = queue.poll();if(isValid(s)) {res.add(s);foundResult = true;}if(foundResult) {continue;}for(int i = 0; i < s.length(); i++) {char c = s.charAt(i);if(c == '(' || c == ')') {String t = s.substring(0, i) + s.substring(i + 1);if(!visited.contains(t)) {queue.offer(t);visited.add(t);}}}}return res;}private boolean isValid(String s) {int leftCount = 0;for(int i = 0; i < s.length(); i++) {char c = s.charAt(i);if(c == '(') {leftCount++;} else if (c == ')') {leftCount--;}if(leftCount < 0) {return false;}}return leftCount == 0;} }

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Reference:

https://leetcode.com/discuss/67842/share-my-java-bfs-solution

https://leetcode.com/discuss/67853/my-c-dfs-solution-16ms

https://leetcode.com/discuss/67919/java-optimized-dfs-solution-3-ms

https://leetcode.com/discuss/67861/short-python-bfs

https://leetcode.com/discuss/72208/easiest-9ms-java-solution

https://leetcode.com/discuss/67861/short-python-bfs

https://leetcode.com/discuss/72208/easiest-9ms-java-solution

https://leetcode.com/discuss/67908/java-bfs-solution-16ms-avoid-generating-duplicate-strings

https://leetcode.com/discuss/67821/and-bfs-java-solutions-add-more-optimized-fast-dfs-solution

https://leetcode.com/discuss/68038/clean-java-solution-bfs-optimization-40ms

https://leetcode.com/discuss/68010/fast-optimized-dfs-java-solution

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