Question: A unimodal sequence is a sequence (a_0, a_1, a_2, , a_n-1) for which there exists at such that (a_t, a_t + 1, a_t + 2,

A unimodal sequence is a sequence (a_0, a_1, a_2, , a_n-1)

A unimodal sequence is a sequence (a_0, a_1, a_2, , a_n-1) for which there exists at such that (a_t, a_t + 1, a_t + 2, , a_t + n-1) strictly increases and then strictly decreases, where the subscript calculations are performed modulo n. That is, if the sequence (a_0, a_1, a_2, , a_n - 1) is rotated to the left t positions, it strictly increase to a maximum and then strictly decreases. An example of a unimodal sequence is given below. Design an efficient algorithm to find the maximum value in the unimodal sequence. You can assume that any input sequence to your algorithm is a unimodal sequence. (For a reduction of a letter grade on this problem, consider only unimodal sequences for which t = 0)

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