search - Searching an array with monotonic sequences of values -


i have large array values go monotonically , down (no ties) in long sub-sequences (such sequences can number , of arbitrarily large size, , of course > 2 terms).

example in small scale:

1 2 3 4 5 9 7 4 3 -2 -5 -7 3 5 34 56 67 78 89 90 8 6 2 -4 -5 ...

and on.

i interested in finding any (just 1, not all) of values ending increasing sequence , right new decreasing sequence starts.

what best way , complexity ?

(my intuitive idea done binary search, guessing o(logn), not sure if might right)

you cant apply binary search here because given sequence not sorted. can in o(n) searching first element next element less element. in above example 9 answer


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