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leetcode-problemset/leetcode-cn/originData/minimum-insertions-to-balance-a-parentheses-string.json
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"categoryTitle": "Algorithms",
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"title": "Minimum Insertions to Balance a Parentheses String",
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"content": "<p>Given a parentheses string <code>s</code> containing only the characters <code>&#39;(&#39;</code> and <code>&#39;)&#39;</code>. A parentheses string is <strong>balanced</strong> if:</p>\n\n<ul>\n\t<li>Any left parenthesis <code>&#39;(&#39;</code> must have a corresponding two consecutive right parenthesis <code>&#39;))&#39;</code>.</li>\n\t<li>Left parenthesis <code>&#39;(&#39;</code> must go before the corresponding two consecutive right parenthesis <code>&#39;))&#39;</code>.</li>\n</ul>\n\n<p>In other words, we treat <code>&#39;(&#39;</code> as an opening parenthesis and <code>&#39;))&#39;</code> as a closing parenthesis.</p>\n\n<ul>\n\t<li>For example, <code>&quot;())&quot;</code>, <code>&quot;())(())))&quot;</code> and <code>&quot;(())())))&quot;</code> are balanced, <code>&quot;)()&quot;</code>, <code>&quot;()))&quot;</code> and <code>&quot;(()))&quot;</code> are not balanced.</li>\n</ul>\n\n<p>You can insert the characters <code>&#39;(&#39;</code> and <code>&#39;)&#39;</code> at any position of the string to balance it if needed.</p>\n\n<p>Return <em>the minimum number of insertions</em> needed to make <code>s</code> balanced.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;(()))&quot;\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The second &#39;(&#39; has two matching &#39;))&#39;, but the first &#39;(&#39; has only &#39;)&#39; matching. We need to add one more &#39;)&#39; at the end of the string to be &quot;(())))&quot; which is balanced.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;())&quot;\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> The string is already balanced.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;))())(&quot;\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> Add &#39;(&#39; to match the first &#39;))&#39;, Add &#39;))&#39; to match the last &#39;(&#39;.\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</code> consists of <code>&#39;(&#39;</code> and <code>&#39;)&#39;</code> only.</li>\n</ul>\n",
"translatedTitle": "平衡括号字符串的最少插入次数",
"translatedContent": "<p>给你一个括号字符串&nbsp;<code>s</code>&nbsp;,它只包含字符&nbsp;<code>&#39;(&#39;</code> 和&nbsp;<code>&#39;)&#39;</code>&nbsp;。一个括号字符串被称为平衡的当它满足:</p>\n\n<ul>\n\t<li>任何左括号&nbsp;<code>&#39;(&#39;</code>&nbsp;必须对应两个连续的右括号&nbsp;<code>&#39;))&#39;</code>&nbsp;。</li>\n\t<li>左括号&nbsp;<code>&#39;(&#39;</code>&nbsp;必须在对应的连续两个右括号&nbsp;<code>&#39;))&#39;</code>&nbsp;之前。</li>\n</ul>\n\n<p>比方说&nbsp;<code>&quot;())&quot;</code>&nbsp;<code>&quot;())(())))&quot;</code> 和&nbsp;<code>&quot;(())())))&quot;</code>&nbsp;都是平衡的,&nbsp;<code>&quot;)()&quot;</code>&nbsp;<code>&quot;()))&quot;</code> 和&nbsp;<code>&quot;(()))&quot;</code>&nbsp;都是不平衡的。</p>\n\n<p>你可以在任意位置插入字符 &#39;(&#39; 和 &#39;)&#39; 使字符串平衡。</p>\n\n<p>请你返回让 <code>s</code>&nbsp;平衡的最少插入次数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>s = &quot;(()))&quot;\n<strong>输出:</strong>1\n<strong>解释:</strong>第二个左括号有与之匹配的两个右括号,但是第一个左括号只有一个右括号。我们需要在字符串结尾额外增加一个 &#39;)&#39; 使字符串变成平衡字符串 &quot;(())))&quot; 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>s = &quot;())&quot;\n<strong>输出:</strong>0\n<strong>解释:</strong>字符串已经平衡了。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><strong>输入:</strong>s = &quot;))())(&quot;\n<strong>输出:</strong>3\n<strong>解释:</strong>添加 &#39;(&#39; 去匹配最开头的 &#39;))&#39; ,然后添加 &#39;))&#39; 去匹配最后一个 &#39;(&#39; 。\n</pre>\n\n<p><strong>示例 4</strong></p>\n\n<pre><strong>输入:</strong>s = &quot;((((((&quot;\n<strong>输出:</strong>12\n<strong>解释:</strong>添加 12 个 &#39;)&#39; 得到平衡字符串。\n</pre>\n\n<p><strong>示例 5</strong></p>\n\n<pre><strong>输入:</strong>s = &quot;)))))))&quot;\n<strong>输出:</strong>5\n<strong>解释:</strong>在字符串开头添加 4 个 &#39;(&#39; 并在结尾添加 1 个 &#39;)&#39; ,字符串变成平衡字符串 &quot;(((())))))))&quot; 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 10^5</code></li>\n\t<li><code>s</code>&nbsp;只包含&nbsp;<code>&#39;(&#39;</code> 和&nbsp;<code>&#39;)&#39;</code>&nbsp;。</li>\n</ul>\n",
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