01
How would you find the k closest points to the origin?
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ReferenceI would first think about sorting all the points by distance and taking the first k, but that would do more work than needed. To optimize it, I would use a heap so I only keep the k closest points as I scan the list. Another option is quickselect if I want average O(n) time, but I would usually explain the heap first because it is easier to reason about in an interview. The main idea is that I do not need the entire ordering, only the best k elements. I would mention that the time complexity is O(n log k) with a heap and the space complexity is O(k). I would also point out edge cases like k equal to the number of points and duplicate distances.