Create a python code that takes a list and find the sequence of consecutive numbers where the absolute difference of the odd and even indexed numbers are maximum. The code must have a worst-case complexity of O(n*log[n]), you can use a divide-and-conquer approach in the code.

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Create a python code that takes a list and find the sequence of consecutive numbers where the absolute difference of the odd and even indexed numbers are maximum. The code must have a worst-case complexity of O(n*log[n]), you can use a divide-and-conquer approach in the code.

input 1: [86, 43, 45, 68, 21]
output 1: 0, 1, 2

explanation:
86 + 45 - 43 = 88
43 + 68 - 45 = 66
45 + 21 - 68 = |-2| or 2
86 + 45 + 21 - 43 - 68 = 41

since 88 is the highest, we return 0, 1, 2

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