Class Solution

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    public final class Solution
    
                        

    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 <code>10<sup>9</sup> + 7</code>.

    |x| is defined as:

    • x if x &gt;= 0, or

    • -x if x &lt; 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

    • <code>1 <= n <= 10<sup>5</sup></code>

    • <code>1 <= nums1i, nums2i<= 10<sup>5</sup></code>

    • Nested Class Summary

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    • Field Summary

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    • Constructor Summary

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      Constructor Description
      Solution()
    • Enum Constant Summary

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      Enum Constant Description
    • Method Summary

      Modifier and Type Method Description
      final Integer minAbsoluteSumDiff(IntArray nums1, IntArray nums2)
      • Methods inherited from class java.lang.Object

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