maximum-of-absolute-value-expression

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1131. Maximum of Absolute Value Expression (Medium)

Given two arrays of integers 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: 13

Example 2:

Input: arr1 = [1,-2,-5,0,10], arr2 = [0,-2,-1,-7,-4]
Output: 20

 

Constraints:

• 2 <= arr1.length == arr2.length <= 40000
• -10^6 <= arr1[i], arr2[i] <= 10^6

Related Topics

[Bit Manipulation] [Math]

Hints

Hint 1

Use the idea that abs(A) + abs(B) = max(A+B, A-B, -A+B, -A-B).