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QuickSort can be categorized into which of the following?ans.Dynamic programmingGreedy algorithm Brute Force techniqueDivide and conquer

Question

QuickSort can be categorized into which of the following?

  • Dynamic programming
  • Greedy algorithm
  • Brute Force technique
  • Divide and conquer
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Solution

QuickSort can be categorized into the Divide and Conquer technique.

Here's a step-by-step explanation:

  1. Divide and Conquer is a technique where a problem is divided into sub-problems, each of which is a smaller instance of the original problem itself. These sub-problems are solved individually and the solutions are combined to solve the original problem.

  2. QuickSort follows this technique. It first divides the array into two smaller sub-arrays: the low elements and the high elements.

  3. QuickSort then recursively sorts the sub-arrays. The base case for the recursion are arrays of size zero or one, which never need to be sorted.

  4. The process of dividing the array is crucial to the sorting process in QuickSort. This is done using a pivot element from the array. The goal is to move all elements smaller than the pivot before it and all elements greater after it. This can be done in linear time.

  5. After this partitioning, the pivot is in its final position. The elements to the left and right, although not sorted themselves, are all smaller and larger than the pivot respectively.

  6. The same process is then applied to the sub-arrays on the left and right of the pivot, and this continues recursively until the entire array is sorted.

So, QuickSort is a perfect example of a Divide and Conquer algorithm.

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