leetcode-problemset/leetcode-cn/originData/minimize-the-difference-between-target-and-chosen-elements.json

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            "categoryTitle": "Algorithms",
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            "title": "Minimize the Difference Between Target and Chosen Elements",
            "titleSlug": "minimize-the-difference-between-target-and-chosen-elements",
            "content": "<p>You are given an <code>m x n</code> integer matrix <code>mat</code> and an integer <code>target</code>.</p>\n\n<p>Choose one integer from <strong>each row</strong> in the matrix such that the <strong>absolute difference</strong> between <code>target</code> and the <strong>sum</strong> of the chosen elements is <strong>minimized</strong>.</p>\n\n<p>Return <em>the <strong>minimum absolute difference</strong></em>.</p>\n\n<p>The <strong>absolute difference</strong> between two numbers <code>a</code> and <code>b</code> is the absolute value of <code>a - b</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/03/matrix1.png\" style=\"width: 181px; height: 181px;\" />\n<pre>\n<strong>Input:</strong> mat = [[1,2,3],[4,5,6],[7,8,9]], target = 13\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> One possible choice is to:\n- Choose 1 from the first row.\n- Choose 5 from the second row.\n- Choose 7 from the third row.\nThe sum of the chosen elements is 13, which equals the target, so the absolute difference is 0.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/03/matrix1-1.png\" style=\"width: 61px; height: 181px;\" />\n<pre>\n<strong>Input:</strong> mat = [[1],[2],[3]], target = 100\n<strong>Output:</strong> 94\n<strong>Explanation:</strong> The best possible choice is to:\n- Choose 1 from the first row.\n- Choose 2 from the second row.\n- Choose 3 from the third row.\nThe sum of the chosen elements is 6, and the absolute difference is 94.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/03/matrix1-3.png\" style=\"width: 301px; height: 61px;\" />\n<pre>\n<strong>Input:</strong> mat = [[1,2,9,8,7]], target = 6\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The best choice is to choose 7 from the first row.\nThe absolute difference is 1.\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[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 70</code></li>\n\t<li><code>1 &lt;= mat[i][j] &lt;= 70</code></li>\n\t<li><code>1 &lt;= target &lt;= 800</code></li>\n</ul>\n",
            "translatedTitle": "最小化目标值与所选元素的差",
            "translatedContent": "<p>给你一个大小为 <code>m x n</code> 的整数矩阵 <code>mat</code> 和一个整数 <code>target</code> 。</p>\n\n<p>从矩阵的 <strong>每一行</strong> 中选择一个整数，你的目标是&nbsp;<strong>最小化</strong>&nbsp;所有选中元素之&nbsp;<strong>和</strong>&nbsp;与目标值 <code>target</code> 的 <strong>绝对差</strong> 。</p>\n\n<p>返回 <strong>最小的绝对差</strong> 。</p>\n\n<p><code>a</code> 和 <code>b</code> 两数字的 <strong>绝对差</strong> 是 <code>a - b</code> 的绝对值。</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/2021/08/03/matrix1.png\" style=\"width: 181px; height: 181px;\" /></p>\n\n<pre>\n<strong>输入：</strong>mat = [[1,2,3],[4,5,6],[7,8,9]], target = 13\n<strong>输出：</strong>0\n<strong>解释：</strong>一种可能的最优选择方案是：\n- 第一行选出 1\n- 第二行选出 5\n- 第三行选出 7\n所选元素的和是 13 ，等于目标值，所以绝对差是 0 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/03/matrix1-1.png\" style=\"width: 61px; height: 181px;\" /></p>\n\n<pre>\n<strong>输入：</strong>mat = [[1],[2],[3]], target = 100\n<strong>输出：</strong>94\n<strong>解释：</strong>唯一一种选择方案是：\n- 第一行选出 1\n- 第二行选出 2\n- 第三行选出 3\n所选元素的和是 6 ，绝对差是 94 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/03/matrix1-3.png\" style=\"width: 301px; height: 61px;\" /></p>\n\n<pre>\n<strong>输入：</strong>mat = [[1,2,9,8,7]], target = 6\n<strong>输出：</strong>1\n<strong>解释：</strong>最优的选择方案是选出第一行的 7 。\n绝对差是 1 。\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[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 70</code></li>\n\t<li><code>1 &lt;= mat[i][j] &lt;= 70</code></li>\n\t<li><code>1 &lt;= target &lt;= 800</code></li>\n</ul>\n",
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