Minimum Remove to Make Valid Parentheses

Given a string s of '(' , ')' and lowercase English characters. 

Your task is to remove the minimum number of parentheses ( '(' or ')', in any positions ) so that the resulting parentheses string is valid and return any valid string.

Formally, a parentheses string is valid if and only if:

• It is the empty string, contains only lowercase characters, or
• It can be written as AB (A concatenated with B), where A and B are valid strings, or
• It can be written as (A), where A is a valid string.

 Example 1:

Input: s = "lee(t(c)o)de)"
Output: "lee(t(c)o)de"
Explanation: "lee(t(co)de)" , "lee(t(c)ode)" would also be accepted.

思路：用stack，判断是否match，set来收集不合法的左右括号，match就pop，剩下的就是不match的左右括号。Time O(n) Space O(n);

class Solution {
    public String minRemoveToMakeValid(String s) {
        Stack<Integer> stack = new Stack<>();
        for(int i = 0; i < s.length(); i++) {
            char c = s.charAt(i);
            if(c == '(') {
                stack.push(i);
            } else if(c == ')') {
                if(!stack.isEmpty() && s.charAt(stack.peek()) == '(') {
                    stack.pop();
                }  else {
                    stack.push(i);
                }
            }
        }
        
        HashSet<Integer> removeSet = new HashSet<>();
        while(!stack.isEmpty()) {
            removeSet.add(stack.pop());
        }
        
        StringBuilder sb = new StringBuilder();
        for(int i = 0; i < s.length(); i++) {
            if(!removeSet.contains(i)) {
                sb.append(s.charAt(i));
            }
        }
        return sb.toString();
    }
}