Package g1101_1200.s1111_maximum_nesting_depth_of_two_valid_parentheses_strings

Class Solution

java.lang.Object
g1101_1200.s1111_maximum_nesting_depth_of_two_valid_parentheses_strings.Solution
public class Solution extends java.lang.Object
1111 - Maximum Nesting Depth of Two Valid Parentheses Strings.

Medium

A string is a valid parentheses string (denoted VPS) if and only if it consists of "(" and ")" characters only, and:

  • It is the empty string, or
  • It can be written as AB (A concatenated with B), where A and B are VPS’s, or
  • It can be written as (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’s
  • depth("(" + 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

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int[]
    maxDepthAfterSplit(java.lang.String seq)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • maxDepthAfterSplit

      public int[] maxDepthAfterSplit(java.lang.String seq)