{ "data": { "question": { "questionId": "1197", "questionFrontendId": "1106", "categoryTitle": "Algorithms", "boundTopicId": 11240, "title": "Parsing A Boolean Expression", "titleSlug": "parsing-a-boolean-expression", "content": "
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.
\n\n\n
Example 1:
\n\n\nInput: expression = "&(|(f))"\nOutput: false\nExplanation: \nFirst, evaluate |(f) --> f. The expression is now "&(f)".\nThen, evaluate &(f) --> f. The expression is now "f".\nFinally, return false.\n\n\n
Example 2:
\n\n\nInput: expression = "|(f,f,f,t)"\nOutput: true\nExplanation: The evaluation of (false OR false OR false OR true) is true.\n\n\n
Example 3:
\n\n\nInput: expression = "!(&(f,t))"\nOutput: true\nExplanation: \nFirst, evaluate &(f,t) --> (false AND true) --> false --> f. The expression is now "!(f)".\nThen, evaluate !(f) --> NOT false --> true. We return true.\n\n\n
\n
Constraints:
\n\n1 <= expression.length <= 2 * 104
'('
, ')'
, '&'
, '|'
, '!'
, 't'
, 'f'
, and ','
.布尔表达式 是计算结果不是 true
就是 false
的表达式。有效的表达式需遵循以下约定:
't'
,运算结果为 true
'f'
,运算结果为 false
'!(subExpr)'
,运算过程为对内部表达式 subExpr
进行 逻辑非(NOT)运算'&(subExpr1, subExpr2, ..., subExprn)'
,运算过程为对 2 个或以上内部表达式 subExpr1, subExpr2, ..., subExprn
进行 逻辑与(AND)运算'|(subExpr1, subExpr2, ..., subExprn)'
,运算过程为对 2 个或以上内部表达式 subExpr1, subExpr2, ..., subExprn
进行 逻辑或(OR)运算给你一个以字符串形式表述的 布尔表达式 expression
,返回该式的运算结果。
题目测试用例所给出的表达式均为有效的布尔表达式,遵循上述约定。
\n\n\n\n
示例 1:
\n\n\n输入:expression = \"&(|(f))\"\n输出:false\n解释:\n首先,计算 |(f) --> f ,表达式变为 \"&(f)\" 。\n接着,计算 &(f) --> f ,表达式变为 \"f\" 。\n最后,返回 false 。\n\n\n
示例 2:
\n\n\n输入:expression = \"|(f,f,f,t)\"\n输出:true\n解释:计算 (false OR false OR false OR true) ,结果为 true 。\n\n\n
示例 3:
\n\n\n输入:expression = \"!(&(f,t))\"\n输出:true\n解释:\n首先,计算 &(f,t) --> (false AND true) --> false --> f ,表达式变为 \"!(f)\" 。\n接着,计算 !(f) --> NOT false --> true ,返回 true 。\n\n\n
\n\n
提示:
\n\n1 <= expression.length <= 2 * 104
expression[i]
为 '('
、')'
、'&'
、'|'
、'!'
、't'
、'f'
和 ','
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"editorType": "CKEDITOR",
"ugcQuestionId": null,
"style": "LEETCODE",
"exampleTestcases": "\"&(|(f))\"\n\"|(f,f,f,t)\"\n\"!(&(f,t))\"",
"__typename": "QuestionNode"
}
}
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