Explain the concept of divide and conquer . Write recursive algorithm to perform binary search on list of elements
Answer:-
The “Divide and Conquer” paradigm is a fundamental technique in computer science and mathematics for solving complex problems by breaking them down into simpler, more manageable subproblems. The approach involves three main steps: divide, conquer, and combine.
- Divide:
- In this step, the original problem is divided into smaller, more manageable subproblems that are similar to the original problem. The goal is to break down the problem into simpler instances that can be solved independently. This step continues recursively until the subproblems become trivial or simple enough to be solved directly.
- Conquer:
- In this step, each subproblem is solved independently. This is typically the base case of the recursion, where the problem is simple enough to be solved without further recursion. Solutions to the subproblems are obtained using the same divide and conquer approach, or in some cases, using other techniques if the subproblem is simple.
- Combine:
- Once the subproblems are solved, the solutions are combined or merged to obtain the solution for the original problem. This step involves aggregating the results of the subproblems to derive the overall solution.
The primary idea behind “Divide and Conquer” is to break down a complex problem into simpler and more manageable subproblems, solve them independently, and then combine their solutions to solve the original problem efficiently.
Recursive algorithm to perform binary search on list of elements
