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("") = 0
depth(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 <= 10000
class 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
}
}