What is the time complexity of the partitioning step in Quick Sort?

Practice Questions

Q1
What is the time complexity of the partitioning step in Quick Sort?
  1. O(n)
  2. O(n log n)
  3. O(log n)
  4. O(n^2)

Questions & Step-by-Step Solutions

What is the time complexity of the partitioning step in Quick Sort?
  • Step 1: Understand that Quick Sort is a sorting algorithm that works by dividing an array into smaller parts.
  • Step 2: Identify the partitioning step, which is where the array is divided based on a 'pivot' element.
  • Step 3: Realize that during partitioning, each element in the array is compared to the pivot.
  • Step 4: Count how many elements are in the array. Let's say there are 'n' elements.
  • Step 5: Note that each element is checked once during the partitioning process.
  • Step 6: Since we check each of the 'n' elements exactly once, the time taken is proportional to 'n'.
  • Step 7: Conclude that the time complexity of the partitioning step is O(n).
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