Suppose you are given a sorted sequence of distinct integers {a1, a2, . . an}. give an o(log n) algorithm to determine whether there exists an index i such that ai = i. for example, in {−10, −3, 3, 5, 7}, a3 = 3; there is no such i in {2, 3, 4, 5, 6, 7}. write the recurrence for your algorithm and show that its recurrence solves to o(log n)