How to Solve Parsing A Boolean Expression Problem
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Parsing A Boolean Expression
A boolean expression is an expression that evaluates to either true or false. It can be in one of the following shapes: 't' that evaluates to true. 'f' that evaluates to false. '!(subExpr)' that evalu...
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Understanding the Parsing A Boolean Expression Problem
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Problem Statement
A boolean expression is an expression that evaluates to either true or false. It can be in one of the following shapes: 't' that evaluates to true. 'f' that evaluates to false. '!(subExpr)' that evaluates to the logical NOT of the inner expression subExpr. '&(subExpr1, subExpr2, ..., subExprn)' that evaluates to the logical AND of the inner expressions subExpr1, subExpr2, ..., subExprn where n >= 1. '|(subExpr1, subExpr2, ..., subExprn)' that evaluates to the logical OR of the inner expressions subExpr1, subExpr2, ..., subExprn where n >= 1. Given a string expression that represents a boolean expression, return the evaluation of that expression. It is guaranteed that the given expression is valid and follows the given rules.
Parsing A Boolean Expression
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Examples
expression = "&(|(f))"
false
First, evaluate |(f) --> f. The expression is now "&(f)". Then, evaluate &(f) --> f. The expression is now "f". Finally, return false.
expression = "|(f,f,f,t)"
true
The evaluation of (false OR false OR false OR true) is true.
expression = "!(&(f,t))"
true
First, evaluate &(f,t) --> (false AND true) --> false --> f. The expression is now "!(f)". Then, evaluate !(f) --> NOT false --> true. We return true.
Constraints
1 <= expression.length <= 2 * 104
expression[i] is one following characters: '(', ')', '&', '|', '!', 't', 'f', and ','.
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