Which sorting algorithm is based on the divide-and-conquer principle and is stab
Practice Questions
Q1
Which sorting algorithm is based on the divide-and-conquer principle and is stable?
Quick Sort
Merge Sort
Heap Sort
Bubble Sort
Questions & Step-by-Step Solutions
Which sorting algorithm is based on the divide-and-conquer principle and is stable?
Step 1: Understand what a sorting algorithm is. A sorting algorithm is a method for arranging items in a specific order, like numbers or words.
Step 2: Learn about the divide-and-conquer principle. This means breaking a problem into smaller parts, solving each part, and then combining the results.
Step 3: Identify sorting algorithms that use the divide-and-conquer principle. Examples include Merge Sort and Quick Sort.
Step 4: Understand what 'stable' means in sorting. A stable sorting algorithm maintains the relative order of items with equal keys (values).
Step 5: Check which of the divide-and-conquer algorithms are stable. Merge Sort is stable, while Quick Sort is not.
Step 6: Conclude that Merge Sort is the sorting algorithm that is both based on the divide-and-conquer principle and is stable.
