Solution: Parsing a Boolean Expression

Explore how to parse complex nested boolean expressions by leveraging a stack-based approach. Understand the step-by-step evaluation of logical operators such as NOT, AND, and OR within expressions. This lesson equips you to implement efficient parsing algorithms with linear time and space complexity, enhancing your problem-solving skills for coding interviews.

We'll cover the following...

Statement
Solution
- Time complexity
- Space complexity

Statement

You are given a string, expression, that represents a boolean expression. The expression can take one of the following forms:

't': Represents the boolean value TRUE.
'f': Represents the boolean value FALSE.
'!(expr)': Represents a NOT operation applied to a subexpression expr. It returns the logical negation of expr.
'&(expr1, expr2, ..., exprN)': Represents an AND operation over one or more subexpressions. It returns TRUE only if all subexpressions evaluate to TRUE.
'|(expr1, expr2, ..., exprN)': Represents an OR operation over one or more subexpressions. It returns TRUE if at least one of the subexpressions evaluates to TRUE.

Your task is to parse this expression and return its boolean evaluation result.

Note: The input expression is guaranteed to always be valid and strictly adhere to the specified format and rules.

Constraints:

$1 \leq$ ...