Solution: Parsing a Boolean Expression
Discover how to parse complex boolean expressions using a stack-based approach that evaluates subexpressions from the inside out. This lesson teaches you to handle logical operators like NOT, AND, and OR, eventually reducing expressions to a single boolean value. You will understand both the algorithm and its time and space complexity.
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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 subexpressionexpr. It returns the logical negation ofexpr.'&(expr1, expr2, ..., exprN)': Represents an AND operation over one or more subexpressions. It returns TRUE only if all subexpressions evaluate to TRUE. ...