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"question": {
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"categoryTitle": "Algorithms",
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"title": "Count Submatrices with Top-Left Element and Sum Less Than k",
"titleSlug": "count-submatrices-with-top-left-element-and-sum-less-than-k",
"content": "<p>You are given a <strong>0-indexed</strong> integer matrix <code>grid</code> and an integer <code>k</code>.</p>\n\n<p>Return <em>the <strong>number</strong> of <span data-keyword=\"submatrix\">submatrices</span> that contain the top-left element of the</em> <code>grid</code>, <em>and have a sum less than or equal to </em><code>k</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/01/01/example1.png\" style=\"padding: 10px; background: #fff; border-radius: .5rem;\" />\n<pre>\n<strong>Input:</strong> grid = [[7,6,3],[6,6,1]], k = 18\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> There are only 4 submatrices, shown in the image above, that contain the top-left element of grid, and have a sum less than or equal to 18.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/01/01/example21.png\" style=\"padding: 10px; background: #fff; border-radius: .5rem;\" />\n<pre>\n<strong>Input:</strong> grid = [[7,2,9],[1,5,0],[2,6,6]], k = 20\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> There are only 6 submatrices, shown in the image above, that contain the top-left element of grid, and have a sum less than or equal to 20.\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;= n, m &lt;= 1000 </code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 1000</code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "元素和小于等于 k 的子矩阵的数目",
"translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始的整数矩阵 <code>grid</code> 和一个整数 <code>k</code>。</p>\n\n<p>返回包含 <code>grid</code> 左上角元素、元素和小于或等于 <code>k</code> 的 <strong><span data-keyword=\"submatrix\">子矩阵</span></strong>的数目。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/01/01/example1.png\" style=\"padding: 10px; background: #fff; border-radius: .5rem;\" />\n<pre>\n<strong>输入:</strong>grid = [[7,6,3],[6,6,1]], k = 18\n<strong>输出:</strong>4\n<strong>解释:</strong>如上图所示,只有 4 个子矩阵满足:包含 grid 的左上角元素,并且元素和小于或等于 18 。</pre>\n\n<p><strong class=\"example\">示例 2</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/01/01/example21.png\" style=\"padding: 10px; background: #fff; border-radius: .5rem;\" />\n<pre>\n<strong>输入:</strong>grid = [[7,2,9],[1,5,0],[2,6,6]], k = 20\n<strong>输出:</strong>6\n<strong>解释:</strong>如上图所示,只有 6 个子矩阵满足:包含 grid 的左上角元素,并且元素和小于或等于 20 。\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;= n, m &lt;= 1000 </code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 1000</code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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