streams

Merging k sorted sources is the textbook min-heap problem and a genuine data-engineering pattern (merging sorted shards/streams). Interviewers look for the heap of k heads yielding O(N log k). The answer follows.

Drawing a uniform sample from a stream too large for memory (or whose length stays unknown) is a genuine data-engineering problem. What interviewers watch for: the replace-with-decreasing-probability trick and a telescoping proof. Here is the answer.