Print Bracket Number
Easy Accuracy: 55.23% Submissions: 4249 Points: 2

Given a string S, the task is to find the bracket numbers.

Example 1:

Input:  S = "(aa(bdc))p(dee)â€‹"
Output: 1 2 2 1 3 3
Explanation: The highlighted brackets in
the given string (aa(bdc))p(dee) has been
assigned the numbers as: 1 2 2 1 3 3.


Example 2:

Input:  S = "(((()("
Output: 1 2 3 4 4 5
Explanation: The highlighted brackets in
the given string (((()( has been assigned
the numbers as: 1 2 3 4 4 5

Your task is to complete the function barcketNumbers() which takes a single string as input and returns a list of numbers. You do not need to take any input or print anything.

Expected Time Complexity: O(|S|)
Expected Auxiliary Space: O(|S|)

Constraints:
1 <= |S| <= 105

S contains lower case English alphabets, and '(', ')' characters
At any time the number of opening brackets are greater than closing brackets

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