{ "data": { "question": { "questionId": "2108", "questionFrontendId": "1981", "categoryTitle": "Algorithms", "boundTopicId": 943834, "title": "Minimize the Difference Between Target and Chosen Elements", "titleSlug": "minimize-the-difference-between-target-and-chosen-elements", "content": "
You are given an m x n
integer matrix mat
and an integer target
.
Choose one integer from each row in the matrix such that the absolute difference between target
and the sum of the chosen elements is minimized.
Return the minimum absolute difference.
\n\nThe absolute difference between two numbers a
and b
is the absolute value of a - b
.
\n
Example 1:
\n\n\nInput: mat = [[1,2,3],[4,5,6],[7,8,9]], target = 13\nOutput: 0\nExplanation: 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\n\n
Example 2:
\n\n\nInput: mat = [[1],[2],[3]], target = 100\nOutput: 94\nExplanation: 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\n\n
Example 3:
\n\n\nInput: mat = [[1,2,9,8,7]], target = 6\nOutput: 1\nExplanation: The best choice is to choose 7 from the first row.\nThe absolute difference is 1.\n\n\n
\n
Constraints:
\n\nm == mat.length
n == mat[i].length
1 <= m, n <= 70
1 <= mat[i][j] <= 70
1 <= target <= 800
给你一个大小为 m x n
的整数矩阵 mat
和一个整数 target
。
从矩阵的 每一行 中选择一个整数,你的目标是 最小化 所有选中元素之 和 与目标值 target
的 绝对差 。
返回 最小的绝对差 。
\n\na
和 b
两数字的 绝对差 是 a - b
的绝对值。
\n\n
示例 1:
\n\n\n\n\n输入:mat = [[1,2,3],[4,5,6],[7,8,9]], target = 13\n输出:0\n解释: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\n\n
示例 2:
\n\n\n\n\n输入:mat = [[1],[2],[3]], target = 100\n输出:94\n解释: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\n\n
示例 3:
\n\n\n\n\n输入:mat = [[1,2,9,8,7]], target = 6\n输出:1\n解释:最优的选择方案是选出第一行的 7 。\n绝对差是 1 。\n\n\n
\n\n
提示:
\n\nm == mat.length
n == mat[i].length
1 <= m, n <= 70
1 <= mat[i][j] <= 70
1 <= target <= 800
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