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Initial Approach: Evaluate all combinations in the array using two nested loops, given that . This approach is correct but inefficient with a time complexity of due to the number of comparisons .
Optimized Approach: Pre-sort the array. The minimum distance for an element is determined by its immediate neighbors and , enabling a linear search. This approach is not only correct but also more efficient with a time complexity of , which is the sum of the sorting time and the linear search time .
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Minimum Absolute Difference in an Array
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Initial Approach: Evaluate all combinations in the array using two nested loops, given that . This approach is correct but inefficient with a time complexity of due to the number of comparisons .
Optimized Approach: Pre-sort the array. The minimum distance for an element is determined by its immediate neighbors and , enabling a linear search. This approach is not only correct but also more efficient with a time complexity of , which is the sum of the sorting time and the linear search time .