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Quick Summary
Find a coordinate from the input array that minimizes the sum of absolute distances to all other coordinates.
The optimal location is mathematically equivalent to the median of the dataset.
Return both the selected coordinate and the computed minimum total distance.
What This Tests
L1 norm minimization and median properties
Linear-time selection via partitioning (Quickselect)
In-place array manipulation and pointer techniques
Complexity analysis comparing O(N log N) vs O(N) approaches
Common Patterns
Divide and Conquer
Two Pointers
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