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Divide and Conquer

Divide and Conquer


Divide and conquer is an algorithm pattern. In algorithm methods, the design is to take a dispute on a huge input, break the input into minor pieces,decide the problem on each of the small pieces, and then merge the piecewise solutions into a global solution. This mechanism of solving the problem is called the Divide & Conquer Strategy.


Divide and Conquer algorithm consists of a dispute using the following three steps:


Divide: The original problem into a set of subproblems.

Conquer: Solve every sub problem individually recursively.

Combine: Put together the solutions of the subproblem to get the solution to the whole problem.



Some Examples of Divide & Conquer Algorithms are:

  • Quick Sort 

  • Merge Sort

  • Binary Search


Algorithm of Divide & Conquer 


function DAndC(P){

if(small(p)then

return S(p)

else 

divide the problem p into p1,p2,_ _ _

solve the problem p1,p2,_ _ pk ny recursive calling of DAndC

}

        return(DAndC(p1),DAndC(p2)_ _ _ _ DAndC(pk))

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