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        "question": {
            "questionId": "2349",
            "questionFrontendId": "2267",
            "categoryTitle": "Algorithms",
            "boundTopicId": 1470122,
            "title": " Check if There Is a Valid Parentheses String Path",
            "titleSlug": "check-if-there-is-a-valid-parentheses-string-path",
            "content": "<p>A parentheses string is a <strong>non-empty</strong> string consisting only of <code>&#39;(&#39;</code> and <code>&#39;)&#39;</code>. It is <strong>valid</strong> if <strong>any</strong> of the following conditions is <strong>true</strong>:</p>\n\n<ul>\n\t<li>It is <code>()</code>.</li>\n\t<li>It can be written as <code>AB</code> (<code>A</code> concatenated with <code>B</code>), where <code>A</code> and <code>B</code> are valid parentheses strings.</li>\n\t<li>It can be written as <code>(A)</code>, where <code>A</code> is a valid parentheses string.</li>\n</ul>\n\n<p>You are given an <code>m x n</code> matrix of parentheses <code>grid</code>. A <strong>valid parentheses string path</strong> in the grid is a path satisfying <strong>all</strong> of the following conditions:</p>\n\n<ul>\n\t<li>The path starts from the upper left cell <code>(0, 0)</code>.</li>\n\t<li>The path ends at the bottom-right cell <code>(m - 1, n - 1)</code>.</li>\n\t<li>The path only ever moves <strong>down</strong> or <strong>right</strong>.</li>\n\t<li>The resulting parentheses string formed by the path is <strong>valid</strong>.</li>\n</ul>\n\n<p>Return <code>true</code> <em>if there exists a <strong>valid parentheses string path</strong> in the grid.</em> Otherwise, return <code>false</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/15/example1drawio.png\" style=\"width: 521px; height: 300px;\" />\n<pre>\n<strong>Input:</strong> grid = [[&quot;(&quot;,&quot;(&quot;,&quot;(&quot;],[&quot;)&quot;,&quot;(&quot;,&quot;)&quot;],[&quot;(&quot;,&quot;(&quot;,&quot;)&quot;],[&quot;(&quot;,&quot;(&quot;,&quot;)&quot;]]\n<strong>Output:</strong> true\n<strong>Explanation:</strong> The above diagram shows two possible paths that form valid parentheses strings.\nThe first path shown results in the valid parentheses string &quot;()(())&quot;.\nThe second path shown results in the valid parentheses string &quot;((()))&quot;.\nNote that there may be other valid parentheses string paths.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/15/example2drawio.png\" style=\"width: 165px; height: 165px;\" />\n<pre>\n<strong>Input:</strong> grid = [[&quot;)&quot;,&quot;)&quot;],[&quot;(&quot;,&quot;(&quot;]]\n<strong>Output:</strong> false\n<strong>Explanation:</strong> The two possible paths form the parentheses strings &quot;))(&quot; and &quot;)((&quot;. Since neither of them are valid parentheses strings, we return false.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 100</code></li>\n\t<li><code>grid[i][j]</code> is either <code>&#39;(&#39;</code> or <code>&#39;)&#39;</code>.</li>\n</ul>\n",
            "translatedTitle": "检查是否有合法括号字符串路径",
            "translatedContent": "<p>一个括号字符串是一个 <strong>非空</strong>&nbsp;且只包含&nbsp;<code>'('</code>&nbsp;和&nbsp;<code>')'</code>&nbsp;的字符串。如果下面&nbsp;<strong>任意</strong>&nbsp;条件为&nbsp;<strong>真</strong>&nbsp;，那么这个括号字符串就是&nbsp;<strong>合法的</strong>&nbsp;。</p>\n\n<ul>\n\t<li>字符串是&nbsp;<code>()</code>&nbsp;。</li>\n\t<li>字符串可以表示为&nbsp;<code>AB</code>（<code>A</code>&nbsp;连接&nbsp;<code>B</code>），<code>A</code> 和&nbsp;<code>B</code>&nbsp;都是合法括号序列。</li>\n\t<li>字符串可以表示为&nbsp;<code>(A)</code>&nbsp;，其中&nbsp;<code>A</code>&nbsp;是合法括号序列。</li>\n</ul>\n\n<p>给你一个&nbsp;<code>m x n</code>&nbsp;的括号网格图矩阵&nbsp;<code>grid</code>&nbsp;。网格图中一个&nbsp;<strong>合法括号路径</strong>&nbsp;是满足以下所有条件的一条路径：</p>\n\n<ul>\n\t<li>路径开始于左上角格子&nbsp;<code>(0, 0)</code>&nbsp;。</li>\n\t<li>路径结束于右下角格子&nbsp;<code>(m - 1, n - 1)</code>&nbsp;。</li>\n\t<li>路径每次只会向 <strong>下</strong>&nbsp;或者向 <strong>右</strong>&nbsp;移动。</li>\n\t<li>路径经过的格子组成的括号字符串是<strong>&nbsp;合法</strong>&nbsp;的。</li>\n</ul>\n\n<p>如果网格图中存在一条 <strong>合法括号路径</strong>&nbsp;，请返回&nbsp;<code>true</code>&nbsp;，否则返回&nbsp;<code>false</code>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/15/example1drawio.png\" style=\"width: 521px; height: 300px;\" /></p>\n\n<pre>\n<b>输入：</b>grid = [[\"(\",\"(\",\"(\"],[\")\",\"(\",\")\"],[\"(\",\"(\",\")\"],[\"(\",\"(\",\")\"]]\n<b>输出：</b>true\n<b>解释：</b>上图展示了两条路径，它们都是合法括号字符串路径。\n第一条路径得到的合法字符串是 \"()(())\" 。\n第二条路径得到的合法字符串是 \"((()))\" 。\n注意可能有其他的合法括号字符串路径。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/15/example2drawio.png\" style=\"width: 165px; height: 165px;\" /></p>\n\n<pre>\n<b>输入：</b>grid = [[\")\",\")\"],[\"(\",\"(\"]]\n<b>输出：</b>false\n<b>解释：</b>两条可行路径分别得到 \"))(\" 和 \")((\" 。由于它们都不是合法括号字符串，我们返回 false 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 100</code></li>\n\t<li><code>grid[i][j]</code>&nbsp;要么是&nbsp;<code>'('</code>&nbsp;，要么是&nbsp;<code>')'</code> 。</li>\n</ul>\n",
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                    "code": "class Solution(object):\n    def hasValidPath(self, grid):\n        \"\"\"\n        :type grid: List[List[str]]\n        :rtype: bool\n        \"\"\"",
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                "What observations can you make about the number of open brackets and close brackets for any prefix of a valid bracket sequence?",
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