Heap pattern

K Closest Points to Origin

Given an array of points on the plane and a value k, return the k points closest to the origin, measured by Euclidean distance. The answer may be returned in any order. Watch it run step by step, then write your own pseudocode and get it checked by AI.

  • LeetCode 973
  • Medium
  • 2 approaches

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HeapLeetCode 973

Medium

From the first idea to the best one

  1. 01 Brute force · sort by distance O(n log n)O(n) space
  2. 02 Optimized · size-k max-heap O(n log k)O(k) space
Each approach plays step by step, with its time and space.

What you will learn

  • How to read K Closest Points to Origin and spot the heap pattern in it
  • Brute force · sort by distance: O(n log n) time, O(n) space
  • Optimized · size-k max-heap: O(n log k) time, O(k) space
  • The pseudocode for each approach, its line lit as the animation runs
  • Practice: write your own pseudocode and get it checked

More Heap

See K Closest Points to Origin run, step by step

Sign in and this page opens on the animation, with all 7 Heap problems beside it.

DSA comes with the all labs plan and every ChaiCode batch.