GATE (Graduate Aptitude Test in Engineering) Computer Science & IT (CS) Algorithms-Divide-And-Conquer Study Material (Page 1 of 8)

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Divide and Conquer Technique

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Sub-Topics

  • Divide and Conquer Design Techniques
  • Advantages and Disadvantages of Divide and Conquer
  • Merge Sort Algorithm
  • Quick Sort Algorithm

Divide and Conquer Design Technique

  • In this design paradigm, the problem is divided into sub problems.
  • The sub problems are divided further if necessary.
  • Then the sub problems are solved recursively or iteratively and the results of the sub problems are combined to get the final solution of the given problem.

Important Components of Divide and Conquer Strategy

Divide

  • In this stage the given problem is divided into small problems. The smaller problems are like the …

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Merge Sort and Quicksort

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Merge Sort

  • Divide and conquer is the strategy used in merge sort.
  • Merge sort was designed by popular Hungarian mathematician John van Neumann.

The procedure for merge sort is given as follows:

  • Divide: Divide the n-element sequence to be sorted into two subsequences of n/2 elements each.
  • Conquer: Sort the two subsequences recursively using merge sort in a recursive or non-recursive manner.
  • Combine: Merge the two sorted subsequences to produce the sorted answer.

Algorithm

Merge Sort (A, p, r) // sort A [p. r] by divide & conquer

if p < r

then q

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