Maximum sum absolute difference
Detailed guide and Python implementation for the 'Maximum sum absolute difference' problem.
Problem Statement
Write a function max_sum_abs_diff(arr) that returns the maximum sum of absolute differences of consecutive elements in any circular permutation of the array arr.
- •2 <= len(arr) <= 1000
- •-10^4 <= arr[i] <= 10^4
Examples
max_sum_abs_diff([1, 2, 4, 8])
18
The circular permutation [1, 8, 2, 4] yields |1-8| + |8-2| + |2-4| + |4-1| = 7 + 6 + 2 + 3 = 18.
max_sum_abs_diff([10, 12])
4
The only circular permutation is [10, 12] yielding |10-12| + |12-10| = 2 + 2 = 4.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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