Minimum and Maximum?

What this algorithm-analysis interview question tests

This is an easy problem in algorithmic thinking that appears regularly in probability and statistics interviews, as well as in computer science foundations rounds. It asks you to reason rigorously about the lower bound on comparisons needed to solve a simple problem — a skill that separates careful thinkers from those who code without reflection.

The question rewards candidates who can move beyond a naive implementation and think about what information each comparison provides. You'll need to consider how many comparisons are truly necessary in the worst case, and whether there are clever ways to gather information about both extremes simultaneously rather than independently.

• Lower and upper bounds on operation counts
• Adversarial arguments and information theory
• Trading comparisons against other operations