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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