g1901_2000.s1981_minimize_the_difference_between_target_and_chosen_elements

Class Solution

java.lang.Object

g1901_2000.s1981_minimize_the_difference_between_target_and_chosen_elements.Solution

public class Solution
extends Object

1981 - Minimize the Difference Between Target and Chosen Elements.

Medium

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.

The absolute difference between two numbers a and b is the absolute value of a - b.

Example 1:

Input: mat = [[1,2,3],[4,5,6],[7,8,9]], target = 13

Output: 0

Explanation: One possible choice is to:

• Choose 1 from the first row.

• Choose 5 from the second row.

• Choose 7 from the third row.

The sum of the chosen elements is 13, which equals the target, so the absolute difference is 0.

Example 2:

Input: mat = [[1],[2],[3]], target = 100

Output: 94

Explanation: The best possible choice is to:

• Choose 1 from the first row.

• Choose 2 from the second row.

• Choose 3 from the third row.

The sum of the chosen elements is 6, and the absolute difference is 94.

Example 3:

Input: mat = [[1,2,9,8,7]], target = 6

Output: 1

Explanation: The best choice is to choose 7 from the first row. The absolute difference is 1.

Constraints:

• m == mat.length
• n == mat[i].length
• 1 <= m, n <= 70
• 1 <= mat[i][j] <= 70
• 1 <= target <= 800

Constructor Summary

Constructors

Constructor and Description
Solution()

Method Summary

Modifier and Type	Method and Description
int	minimizeTheDifference(int[][] mat, int target)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Solution

public Solution()

Method Detail

minimizeTheDifference

public int minimizeTheDifference(int[][] mat,
                                 int target)