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
(A
concatenated withB
), whereA
andB
are valid parentheses strings.It can be written as
(A)
, whereA
is 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.length
1 <= n <= 10^5
s[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).