Medium
A string is a valid parentheses string (denoted VPS) if and only if it consists of "(" and ")" characters only, and:
AB (A concatenated with B), where A and B are VPS’s, or(A), where A is a VPS.We can similarly define the nesting depth depth(S) of any VPS S as follows:
depth("") = 0depth(A + B) = max(depth(A), depth(B)), where A and B are VPS’sdepth("(" + A + ")") = 1 + depth(A), where A is a VPS.For example, "", "()()", and "()(()())" are VPS’s (with nesting depths 0, 1, and 2), and ")(" and "(()" are not VPS’s.
Given a VPS seq, split it into two disjoint subsequences A and B, such that A and B are VPS’s (and A.length + B.length = seq.length).
Now choose any such A and B such that max(depth(A), depth(B)) is the minimum possible value.
Return an answer array (of length seq.length) that encodes such a choice of A and B: answer[i] = 0 if seq[i] is part of A, else answer[i] = 1. Note that even though multiple answers may exist, you may return any of them.
Example 1:
Input: seq = “(()())”
Output: [0,1,1,1,1,0]
Example 2:
Input: seq = “()(())()”
Output: [0,0,0,1,1,0,1,1]
Constraints:
1 <= seq.size <= 10000class Solution {
fun maxDepthAfterSplit(seq: String): IntArray {
val n = seq.length
val ans = IntArray(n)
val chars = seq.toCharArray()
var depth = 0
for (i in 0 until n) {
if (chars[i] == '(') {
depth++
if (depth % 2 == 0) {
ans[i] = 0
} else {
ans[i] = 1
}
} else {
if (depth % 2 == 0) {
ans[i] = 0
} else {
ans[i] = 1
}
depth--
}
}
return ans
}
}