leetcode-problemset/leetcode-cn/originData/find-the-kth-smallest-sum-of-a-matrix-with-sorted-rows.json

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            "title": "Find the Kth Smallest Sum of a Matrix With Sorted Rows",
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            "content": "<p>You are given an <code>m x n</code> matrix <code>mat</code> that has its rows sorted in non-decreasing order and an integer <code>k</code>.</p>\n\n<p>You are allowed to choose <strong>exactly one element</strong> from each row to form an array.</p>\n\n<p>Return <em>the </em><code>k<sup>th</sup></code><em> smallest array sum among all possible arrays</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> mat = [[1,3,11],[2,4,6]], k = 5\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> Choosing one element from each row, the first k smallest sum are:\n[1,2], [1,4], [3,2], [3,4], [1,6]. Where the 5th sum is 7.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> mat = [[1,3,11],[2,4,6]], k = 9\n<strong>Output:</strong> 17\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> mat = [[1,10,10],[1,4,5],[2,3,6]], k = 7\n<strong>Output:</strong> 9\n<strong>Explanation:</strong> Choosing one element from each row, the first k smallest sum are:\n[1,1,2], [1,1,3], [1,4,2], [1,4,3], [1,1,6], [1,5,2], [1,5,3]. Where the 7th sum is 9.  \n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == mat.length</code></li>\n\t<li><code>n == mat.length[i]</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 40</code></li>\n\t<li><code>1 &lt;= mat[i][j] &lt;= 5000</code></li>\n\t<li><code>1 &lt;= k &lt;= min(200, n<sup>m</sup>)</code></li>\n\t<li><code>mat[i]</code> is a non-decreasing array.</li>\n</ul>\n",
            "translatedTitle": "有序矩阵中的第 k 个最小数组和",
            "translatedContent": "<p>给你一个 <code>m&nbsp;* n</code> 的矩阵 <code>mat</code>，以及一个整数 <code>k</code> ，矩阵中的每一行都以非递减的顺序排列。</p>\n\n<p>你可以从每一行中选出 1 个元素形成一个数组。返回所有可能数组中的第 k 个 <strong>最小</strong> 数组和。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>mat = [[1,3,11],[2,4,6]], k = 5\n<strong>输出：</strong>7\n<strong>解释：</strong>从每一行中选出一个元素，前 k 个和最小的数组分别是：\n[1,2], [1,4], [3,2], [3,4], [1,6]。其中第 5 个的和是 7 。  </pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>mat = [[1,3,11],[2,4,6]], k = 9\n<strong>输出：</strong>17\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>mat = [[1,10,10],[1,4,5],[2,3,6]], k = 7\n<strong>输出：</strong>9\n<strong>解释：</strong>从每一行中选出一个元素，前 k 个和最小的数组分别是：\n[1,1,2], [1,1,3], [1,4,2], [1,4,3], [1,1,6], [1,5,2], [1,5,3]。其中第 7 个的和是 9 。 \n</pre>\n\n<p><strong>示例 4：</strong></p>\n\n<pre><strong>输入：</strong>mat = [[1,1,10],[2,2,9]], k = 7\n<strong>输出：</strong>12\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>m == mat.length</code></li>\n\t<li><code>n == mat.length[i]</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 40</code></li>\n\t<li><code>1 &lt;= k &lt;= min(200, n ^&nbsp;m)</code></li>\n\t<li><code>1 &lt;= mat[i][j] &lt;= 5000</code></li>\n\t<li><code>mat[i]</code> 是一个非递减数组</li>\n</ul>\n",
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