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.
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.
Constraints:
1 <= expression.length <= 2 * 104'(', ')', '&', '|', '!', 't', 'f', and ','.