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leetcode-problemset/leetcode/originData/remove-outermost-parentheses.json
2022-05-02 23:44:12 +08:00

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{
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"title": "Remove Outermost Parentheses",
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"content": "<p>A valid parentheses string is either empty <code>&quot;&quot;</code>, <code>&quot;(&quot; + A + &quot;)&quot;</code>, or <code>A + B</code>, where <code>A</code> and <code>B</code> are valid parentheses strings, and <code>+</code> represents string concatenation.</p>\n\n<ul>\n\t<li>For example, <code>&quot;&quot;</code>, <code>&quot;()&quot;</code>, <code>&quot;(())()&quot;</code>, and <code>&quot;(()(()))&quot;</code> are all valid parentheses strings.</li>\n</ul>\n\n<p>A valid parentheses string <code>s</code> is primitive if it is nonempty, and there does not exist a way to split it into <code>s = A + B</code>, with <code>A</code> and <code>B</code> nonempty valid parentheses strings.</p>\n\n<p>Given a valid parentheses string <code>s</code>, consider its primitive decomposition: <code>s = P<sub>1</sub> + P<sub>2</sub> + ... + P<sub>k</sub></code>, where <code>P<sub>i</sub></code> are primitive valid parentheses strings.</p>\n\n<p>Return <code>s</code> <em>after removing the outermost parentheses of every primitive string in the primitive decomposition of </em><code>s</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;(()())(())&quot;\n<strong>Output:</strong> &quot;()()()&quot;\n<strong>Explanation:</strong> \nThe input string is &quot;(()())(())&quot;, with primitive decomposition &quot;(()())&quot; + &quot;(())&quot;.\nAfter removing outer parentheses of each part, this is &quot;()()&quot; + &quot;()&quot; = &quot;()()()&quot;.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;(()())(())(()(()))&quot;\n<strong>Output:</strong> &quot;()()()()(())&quot;\n<strong>Explanation:</strong> \nThe input string is &quot;(()())(())(()(()))&quot;, with primitive decomposition &quot;(()())&quot; + &quot;(())&quot; + &quot;(()(()))&quot;.\nAfter removing outer parentheses of each part, this is &quot;()()&quot; + &quot;()&quot; + &quot;()(())&quot; = &quot;()()()()(())&quot;.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;()()&quot;\n<strong>Output:</strong> &quot;&quot;\n<strong>Explanation:</strong> \nThe input string is &quot;()()&quot;, with primitive decomposition &quot;()&quot; + &quot;()&quot;.\nAfter removing outer parentheses of each part, this is &quot;&quot; + &quot;&quot; = &quot;&quot;.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>s[i]</code> is either <code>&#39;(&#39;</code> or <code>&#39;)&#39;</code>.</li>\n\t<li><code>s</code> is a valid parentheses string.</li>\n</ul>\n",
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"Can you find the primitive decomposition? The number of ( and ) characters must be equal."
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