#1106

Parsing A Boolean Expression

expert · 1000 · lc hard +32 · verified · 69.8% accepted · 1,923 likes · top 78%

Description

A boolean expression evaluates to true or false. It can be:

- 't' — evaluates to true.

- 'f' — evaluates to false.

- '!(subExpr)' — logical NOT of subExpr.

- '&(subExpr1, subExpr2, ..., subExprn)' — logical AND of all inner expressions.

- '|(subExpr1, subExpr2, ..., subExprn)' — logical OR of all inner expressions.

Given a valid string expression, return its boolean evaluation result.

Example 1:

Input: expression = "&(|(f))"
Output: false
Explanation:
First, evaluate |(f) --> f. The expression is now "&(f)".
Then, evaluate &(f) --> f. The expression is now "f".
Finally, return false.

Example 2:

Input: expression = "|(f,f,f,t)"
Output: true
Explanation: The evaluation of (false OR false OR false OR true) is true.

Example 3:

Input: expression = "!(&(f,t))"
Output: true
Explanation:
First, evaluate &(f,t) --> (false AND true) --> false --> f. The expression is now "!(f)".
Then, evaluate !(f) --> NOT false --> true. We return true.

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