What is the concept of divide and conquer algorithms?

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What is the concept of divide and conquer algorithms?

The concept of divide and conquer algorithms is a problem-solving approach that involves breaking down a complex problem into smaller, more manageable subproblems. These subproblems are then solved independently, and their solutions are combined to obtain the final solution to the original problem. This approach typically involves three steps: divide, conquer, and combine. In the divide step, the problem is divided into smaller subproblems. In the conquer step, each subproblem is solved independently. Finally, in the combine step, the solutions to the subproblems are combined to obtain the solution to the original problem. This approach is often used in various algorithms and can significantly improve the efficiency and effectiveness of problem-solving.