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

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            "title": "Minimize the Difference Between Target and Chosen Elements",
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            "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 class=\"example\">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 class=\"example\">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 class=\"example\">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",
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                    "code": "class Solution(object):\n    def minimizeTheDifference(self, mat, target):\n        \"\"\"\n        :type mat: List[List[int]]\n        :type target: int\n        :rtype: int\n        \"\"\"\n        ",
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                    "code": "public class Solution {\n    public int MinimizeTheDifference(int[][] mat, int target) {\n        \n    }\n}",
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                    "code": "/**\n * @param {number[][]} mat\n * @param {number} target\n * @return {number}\n */\nvar minimizeTheDifference = function(mat, target) {\n    \n};",
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                    "code": "class Solution {\n\n    /**\n     * @param Integer[][] $mat\n     * @param Integer $target\n     * @return Integer\n     */\n    function minimizeTheDifference($mat, $target) {\n        \n    }\n}",
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                    "code": "# @param {Integer[][]} mat\n# @param {Integer} target\n# @return {Integer}\ndef minimize_the_difference(mat, target)\n    \nend",
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                    "code": "impl Solution {\n    pub fn minimize_the_difference(mat: Vec<Vec<i32>>, target: i32) -> i32 {\n        \n    }\n}",
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            "hints": [
                "The sum of chosen elements will not be too large. Consider using a hash set to record all possible sums while iterating each row.",
                "Instead of keeping track of all possible sums, since in each row, we are adding positive numbers, only keep those that can be a candidate, not exceeding the target by too much."
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