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Solution: Parsing a Boolean Expression

Explore how to parse and evaluate boolean expressions with nested NOT, AND, and OR operators using a stack. This lesson teaches a systematic approach to break down complex expressions from innermost to outer layers, implementing a linear time and space algorithm for accurate boolean evaluation.

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. ...