GATE (Graduate Aptitude Test in Engineering) Computer Science & IT (CS) Algorithms-Divide-And-Conquer Study Material (Page 2 of 8)

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Partitioning Algorithms

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  • Partitioning algorithms are used to divide the given array into two subarrays.
  • There are two partitioning algorithms. One is by Lomuto partitioning algorithm and another by Hoare.

Lomuto Algorithm

  • Lomuto is a one directional partition algorithm.
  • It sc…

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Multiplication of Long Integers and Strassen Multiplication Algorithm

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Divide and Conquer Design Paradigm

Divide and conquer is a design paradigm.

It involves the following three components:

  • Divide: In this step, the problem is divided into sub-problems. Sub-problems are like the original problem but smaller in size.
  • Conquer: In this step, the sub-problems are solved iteratively or recursively. If the problems are small enough, then they are solved in a straightforward manner.
  • Combine: In this step, the solutions of the sub problems are combined to create a solution to the original problem.

Multiplication of Long Integers

  • Multiplication of an n-digit number X by a single digit is called short multiplication.
  • Multiplication of n-digit X with another n-digit number Y is called long mult…

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