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Questions about the binary search algorithm, which can be used to find elements of an ordered list in O(log n) time.

5 votes
1 answer
145 views

"Unbounded" binary search in $\log_2(n) + O(?)$ comparisons

Binary search is the well-known algorithm that compares the input value to an entry in a sorted array, and based on the result then decides to check the same input value against another entry either o …
Albert Hendriks's user avatar
4 votes
2 answers
455 views

Binary search with alternative comparison cost

I have a sorted array $A$ of non-arbitrary elements. Now, I have another element $c$ and I want to find out where it belongs in the sorting of $A$. The cost of comparing $c$ to $A_i$ is $\Theta(i^2)$. …
Albert Hendriks's user avatar