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What is the space complexity of a binary heap storing n elements?

Practice Questions

Q1
What is the space complexity of a binary heap storing n elements?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n log n)

Questions & Step-by-Step Solutions

What is the space complexity of a binary heap storing n elements?
  • Step 1: Understand what a binary heap is. A binary heap is a complete binary tree that satisfies the heap property (either max-heap or min-heap).
  • Step 2: Know that a binary heap is typically implemented using an array. This array will store all the elements of the heap.
  • Step 3: Recognize that if there are n elements in the binary heap, the array must have space for all n elements.
  • Step 4: Conclude that the space needed to store these n elements is proportional to n.
  • Step 5: Therefore, the space complexity, which describes how the space requirement grows with the number of elements, is O(n).
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