Which of the following sorting algorithms has the worst-case time complexity of

Practice Questions

Q1
Which of the following sorting algorithms has the worst-case time complexity of O(n^2)?
  1. Merge Sort
  2. Quick Sort
  3. Bubble Sort
  4. Heap Sort

Questions & Step-by-Step Solutions

Which of the following sorting algorithms has the worst-case time complexity of O(n^2)?
  • Step 1: Understand what sorting algorithms are. They are methods used to arrange data in a specific order.
  • Step 2: Learn about time complexity. It tells us how the time to complete an algorithm grows as the size of the input (n) increases.
  • Step 3: Identify common sorting algorithms. Some examples are Bubble Sort, Selection Sort, Insertion Sort, Merge Sort, and Quick Sort.
  • Step 4: Check the worst-case time complexity for each algorithm. Bubble Sort has a worst-case time complexity of O(n^2).
  • Step 5: Compare the time complexities. O(n^2) means that if you double the number of items to sort, the time taken increases by four times.
  • Step 6: Conclude that Bubble Sort is the sorting algorithm with the worst-case time complexity of O(n^2).
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