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"questionId": "1197",
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"categoryTitle": "Algorithms",
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"title": "Parsing A Boolean Expression",
"titleSlug": "parsing-a-boolean-expression",
"content": "<p>A <strong>boolean expression</strong> is an expression that evaluates to either <code>true</code> or <code>false</code>. It can be in one of the following shapes:</p>\n\n<ul>\n\t<li><code>&#39;t&#39;</code> that evaluates to <code>true</code>.</li>\n\t<li><code>&#39;f&#39;</code> that evaluates to <code>false</code>.</li>\n\t<li><code>&#39;!(subExpr)&#39;</code> that evaluates to <strong>the logical NOT</strong> of the inner expression <code>subExpr</code>.</li>\n\t<li><code>&#39;&amp;(subExpr<sub>1</sub>, subExpr<sub>2</sub>, ..., subExpr<sub>n</sub>)&#39;</code> that evaluates to <strong>the logical AND</strong> of the inner expressions <code>subExpr<sub>1</sub>, subExpr<sub>2</sub>, ..., subExpr<sub>n</sub></code> where <code>n &gt;= 1</code>.</li>\n\t<li><code>&#39;|(subExpr<sub>1</sub>, subExpr<sub>2</sub>, ..., subExpr<sub>n</sub>)&#39;</code> that evaluates to <strong>the logical OR</strong> of the inner expressions <code>subExpr<sub>1</sub>, subExpr<sub>2</sub>, ..., subExpr<sub>n</sub></code> where <code>n &gt;= 1</code>.</li>\n</ul>\n\n<p>Given a string <code>expression</code> that represents a <strong>boolean expression</strong>, return <em>the evaluation of that expression</em>.</p>\n\n<p>It is <strong>guaranteed</strong> that the given expression is valid and follows the given rules.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> expression = &quot;&amp;(|(f))&quot;\n<strong>Output:</strong> false\n<strong>Explanation:</strong> \nFirst, evaluate |(f) --&gt; f. The expression is now &quot;&amp;(f)&quot;.\nThen, evaluate &amp;(f) --&gt; f. The expression is now &quot;f&quot;.\nFinally, return false.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> expression = &quot;|(f,f,f,t)&quot;\n<strong>Output:</strong> true\n<strong>Explanation:</strong> The evaluation of (false OR false OR false OR true) is true.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> expression = &quot;!(&amp;(f,t))&quot;\n<strong>Output:</strong> true\n<strong>Explanation:</strong> \nFirst, evaluate &amp;(f,t) --&gt; (false AND true) --&gt; false --&gt; f. The expression is now &quot;!(f)&quot;.\nThen, evaluate !(f) --&gt; NOT false --&gt; true. We return true.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= expression.length &lt;= 2 * 10<sup>4</sup></code></li>\n\t<li>expression[i] is one following characters: <code>&#39;(&#39;</code>, <code>&#39;)&#39;</code>, <code>&#39;&amp;&#39;</code>, <code>&#39;|&#39;</code>, <code>&#39;!&#39;</code>, <code>&#39;t&#39;</code>, <code>&#39;f&#39;</code>, and <code>&#39;,&#39;</code>.</li>\n</ul>\n",
"translatedTitle": "解析布尔表达式",
"translatedContent": "<p><strong>布尔表达式</strong> 是计算结果不是 <code>true</code> 就是 <code>false</code> 的表达式。有效的表达式需遵循以下约定:</p>\n\n<ul>\n\t<li><code>'t'</code>,运算结果为 <code>true</code></li>\n\t<li><code>'f'</code>,运算结果为 <code>false</code></li>\n\t<li><code>'!(subExpr)'</code>,运算过程为对内部表达式 <code>subExpr</code> 进行 <strong>逻辑非</strong>NOT运算</li>\n\t<li><code>'&amp;(subExpr<sub>1</sub>, subExpr<sub>2</sub>, ..., subExpr<sub>n</sub>)'</code>,运算过程为对 2 个或以上内部表达式 <code>subExpr<sub>1</sub>, subExpr<sub>2</sub>, ..., subExpr<sub>n</sub></code> 进行 <strong>逻辑与</strong>AND运算</li>\n\t<li><code>'|(subExpr<sub>1</sub>, subExpr<sub>2</sub>, ..., subExpr<sub>n</sub>)'</code>,运算过程为对 2 个或以上内部表达式 <code>subExpr<sub>1</sub>, subExpr<sub>2</sub>, ..., subExpr<sub>n</sub></code> 进行 <strong>逻辑或</strong>OR运算</li>\n</ul>\n\n<p>给你一个以字符串形式表述的&nbsp;<a href=\"https://baike.baidu.com/item/%E5%B8%83%E5%B0%94%E8%A1%A8%E8%BE%BE%E5%BC%8F/1574380?fr=aladdin\" target=\"_blank\">布尔表达式</a> <code>expression</code>,返回该式的运算结果。</p>\n\n<p>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。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>expression = \"&amp;(|(f))\"\n<strong>输出:</strong>false\n<strong>解释:</strong>\n首先计算 |(f) --&gt; f ,表达式变为 \"&amp;(f)\" 。\n接着计算 &amp;(f) --&gt; f ,表达式变为 \"f\" 。\n最后返回 false 。\n</pre>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>expression = \"|(f,f,f,t)\"\n<strong>输出:</strong>true\n<strong>解释:</strong>计算 (false OR false OR false OR true) ,结果为 true 。\n</pre>\n\n<p><strong class=\"example\">示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>expression = \"!(&amp;(f,t))\"\n<strong>输出:</strong>true\n<strong>解释:</strong>\n首先计算 &amp;(f,t) --&gt; (false AND true) --&gt; false --&gt; f ,表达式变为 \"!(f)\" 。\n接着计算 !(f) --&gt; NOT false --&gt; true ,返回 true 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= expression.length &lt;= 2 * 10<sup>4</sup></code></li>\n\t<li><code>expression[i]</code> 为 <code>'('</code>、<code>')'</code>、<code>'&amp;'</code>、<code>'|'</code>、<code>'!'</code>、<code>'t'</code>、<code>'f'</code> 和 <code>','</code> 之一</li>\n</ul>\n",
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