Given an expression exp of length n consisting of some brackets. The task is to print the bracket numbers when the expression is being parsed.
Input : (a+(b*c))+(d/e) Output : 1 2 2 1 3 3 The highlighted brackets in the given expression (a+(b*c))+(d/e) has been assigned the numbers as: 1 2 2 1 3 3. Input : ((())(())) Output : 1 2 3 3 2 4 5 5 4 1
- Define a variable left_bnum = 1.
- Create a stack right_bnum.
- Now, for i = 0 to n-1.
- If exp[i] == ‘(‘, then print left_bnum, push left_bnum on to the stack right_bnum and finally increment left_bnum by 1.
- Else if exp[i] == ‘)’, then print the top element of the stack right_bnum and then pop the top element from the stack.
1 2 2 1 3 3
Time Complexity : O(n).
Auxiliary Space : O(n).
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