QuickSort can be categorized into which of the following? ans. Greedy algorithm Divide and conquer Dynamic programming Brute Force technique

QuickSort can be categorized into the "Divide and Conquer" category.

Here's a step-by-step explanation:

1. Divide and Conquer is a type of algorithm where the main problem is divided into smaller sub-problems until they become simple enough to solve directly.

2. QuickSort is a perfect example of this. It first divides the array into two smaller sub-arrays: the low elements and the high elements.

3. It then recursively sorts the sub-arrays. The steps are:

   • Pick an element, called a pivot, from the array.
   • Partitioning: reorder the array so that all elements with values less than the pivot come before the pivot, while all elements with values greater than the pivot come after it (equal values can go either way). After this partitioning, the pivot is in its final position.
   • Recursively apply the above steps to the sub-array of elements with smaller values and separately to the sub-array of elements with greater values.

4. The base case of the recursion is arrays of size zero or one, which are always sorted.

5. Therefore, QuickSort falls under the category of Divide and Conquer algorithms, not Greedy algorithms, Dynamic programming, or Brute Force technique.