Problem
A parentheses string is a non-empty string consisting only of '(' and ')'. It is valid if any of the following conditions is true:
It is
().It can be written as
AB(Aconcatenated withB), whereAandBare valid parentheses strings.It can be written as
(A), whereAis a valid parentheses string.
You are given a parentheses string s and a string locked, both of length n. locked is a binary string consisting only of '0's and '1's. For each index i of locked,
If
locked[i]is'1', you cannot changes[i].But if
locked[i]is'0', you can changes[i]to either'('or')'.
Return true if you can make s a valid parentheses string. Otherwise, return false.
Example 1:

Input: s = "))()))", locked = "010100"
Output: true
Explanation: locked[1] == '1' and locked[3] == '1', so we cannot change s[1] or s[3].
We change s[0] and s[4] to '(' while leaving s[2] and s[5] unchanged to make s valid.
Example 2:
Input: s = "()()", locked = "0000"
Output: true
Explanation: We do not need to make any changes because s is already valid.
Example 3:
Input: s = ")", locked = "0"
Output: false
Explanation: locked permits us to change s[0].
Changing s[0] to either '(' or ')' will not make s valid.
Constraints:
n == s.length == locked.length1 <= n <= 10^5s[i]is either'('or')'.locked[i]is either'0'or'1'.
Solution (Java)
class Solution {
public boolean canBeValid(String s, String locked) {
if (s == null || s.isEmpty()) {
return true;
}
if ((s.length() & 1) > 0) {
return false;
}
if (locked == null || locked.isEmpty()) {
return true;
}
int numOfLockedClose = 0;
int numOfLockedOpen = 0;
for (int i = 0; i < s.length(); i++) {
int countOfChars = i + 1;
if (s.charAt(i) == ')' && locked.charAt(i) == '1') {
numOfLockedClose++;
if (numOfLockedClose * 2 > countOfChars) {
return false;
}
}
int j = s.length() - 1 - i;
if (s.charAt(j) == '(' && locked.charAt(j) == '1') {
numOfLockedOpen++;
if (numOfLockedOpen * 2 > countOfChars) {
return false;
}
}
}
return true;
}
}
Explain:
nope.
Complexity:
- Time complexity : O(n).
- Space complexity : O(n).