What is the space complexity of the iterative binary search algorithm?

Practice Questions

Q1
What is the space complexity of the iterative binary search algorithm?
  1. O(n)
  2. O(log n)
  3. O(1)
  4. O(n log n)

Questions & Step-by-Step Solutions

What is the space complexity of the iterative binary search algorithm?
  • Step 1: Understand what space complexity means. Space complexity measures how much memory an algorithm uses as the input size grows.
  • Step 2: Know that the iterative binary search algorithm works by repeatedly dividing the search interval in half.
  • Step 3: Realize that in the iterative version, we only use a few variables to keep track of the current position and the search boundaries.
  • Step 4: Identify that these variables do not depend on the size of the input array; they remain constant regardless of how many elements are in the array.
  • Step 5: Conclude that since the amount of space used does not change with the input size, the space complexity is O(1), which means it uses a constant amount of space.
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