Maximum of Absolute Value Expression
Given two arrays of integers arr1 and arr2 with equal lengths, return the maximum value of:
|arr1[i] - arr1[j]| + |arr2[i] - arr2[j]| + |i - j|
where the maximum is taken over all 0 <= i, j < arr1.length.
Example 1
Input
arr1 = [1,2,3,4], arr2 = [-1,4,5,6]Output
13The maximum possible value of the expression over all valid pairs of indices is 13.
Example 2
Input
arr1 = [1,-2,-5,0,10], arr2 = [0,-2,-1,-7,-4]Output
20The maximum possible value of the expression over all valid pairs of indices is 20.
Constraints
- 2 <= arr1.length == arr2.length <= 40000
- -10^6 <= arr1[i], arr2[i] <= 10^6