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Given an array of integers, the objective is to reorder the array, if necessary, to obtain a sequence where the sum of the absolute differences between adjacent pairs is minimized. If the array's length is odd, one element must be removed to achieve this goal.

For example:

For the array [6, 3, 10, 8], after reordering, the array should be [3, 6, 8, 10]. The function should return the reordered array: [3, 6, 8, 10]. Given [1, 11, 13, 15, 17], removing 1 to minimize the sum of differences, the function should return the reordered array [11, 13, 15, 17]. Given [1, 3, 8, 14, 15], removing 8 to minimize the sum of differences, the function should return [1, 3, 14, 15]. Given [1, 3, 8, 14, 25], removing 25 to minimize the sum of differences, the function should return [1, 3, 8, 14].

I have provided a brute force solution with O(n^2) complexity. An optimized solution would be appreciated.