Here is the interview question prompt, presented for reference.

We're given an array of integers that looks like the following:

[0, 1, 2, 3, 4, 5, 6, 7, 8]

Let's imagine we're an assembly line and we decide to shift some workers around.

Say we take our array, and rotate it at a random pivot so that the section after the pivot comes before. Let's put our pivot between 5 and 6:

[6, 7, 8, 0, 1, 2, 3, 4, 5]

See how it shifts?

Can you find the smallest element in O(log n) time? Assume that there are no repeat numbers.

Here are some other examples: given [4, 5, 1, 2, 3], we'd get 1.

In the event that there's a missing number in the sequence like [5, 6, 7, 0, 1, 2, 3] (where 4 isn't present), the output would still be 0.

Constraints

• Length of the array <= 100000
• The values in the array will be between -1000000000 and 1000000000
• Expected time complexity : O(log n)
• Expected space complexity : O(1)

You can see the full challenge with visuals at this link.