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leetcode-problemset/leetcode/originData/check-if-there-is-a-valid-parentheses-string-path.json
2022-05-13 23:03:30 +08:00

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JSON

{
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"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",
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"hints": [
"What observations can you make about the number of open brackets and close brackets for any prefix of a valid bracket sequence?",
"The number of open brackets must always be greater than or equal to the number of close brackets.",
"Could you use dynamic programming?"
],
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