Package g1801_1900.s1818_minimum_absolute_sum_difference

Class Solution

java.lang.Object
g1801_1900.s1818_minimum_absolute_sum_difference.Solution
public class Solution extends java.lang.Object
1818 - Minimum Absolute Sum Difference.

Medium

You are given two positive integer arrays nums1 and nums2, both of length n.

The absolute sum difference of arrays nums1 and nums2 is defined as the sum of |nums1[i] - nums2[i]| for each 0 <= i < n ( 0-indexed ).

You can replace at most one element of nums1 with any other element in nums1 to minimize the absolute sum difference.

Return the minimum absolute sum difference after replacing at most one element in the array nums1. Since the answer may be large, return it modulo 109 + 7.

|x| is defined as:

  • x if x >= 0, or
  • -x if x < 0.

Example 1:

Input: nums1 = [1,7,5], nums2 = [2,3,5]

Output: 3

Explanation: There are two possible optimal solutions:

  • Replace the second element with the first: [1, 7 ,5] => [1, 1 ,5], or

  • Replace the second element with the third: [1, 7 ,5] => [1, 5 ,5].

Both will yield an absolute sum difference of |1-2| + (|1-3| or |5-3|) + |5-5| = 3.

Example 2:

Input: nums1 = [2,4,6,8,10], nums2 = [2,4,6,8,10]

Output: 0

Explanation: nums1 is equal to nums2 so no replacement is needed. This will result in an absolute sum difference of 0.

Example 3:

Input: nums1 = [1,10,4,4,2,7], nums2 = [9,3,5,1,7,4]

Output: 20

Explanation: Replace the first element with the second: [1 ,10,4,4,2,7] => [10 ,10,4,4,2,7]. This yields an absolute sum difference of |10-9| + |10-3| + |4-5| + |4-1| + |2-7| + |7-4| = 20

Constraints:

  • n == nums1.length
  • n == nums2.length
  • 1 <= n <= 105
  • 1 <= nums1[i], nums2[i] <= 105

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    minAbsoluteSumDiff(int[] nums1, int[] nums2)
     

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • minAbsoluteSumDiff

      public int minAbsoluteSumDiff(int[] nums1, int[] nums2)