This stage is known as the atomic state of a problem. Following this principle, in the divide and conquer algorithm, we keep dividing the given problem into smaller problems to the point that these smaller sub-problems can no longer be further divided. The notion here is that it is easier to study (and hence, solve) the smallest unit of a problem than the whole problem altogether. The divide and conquer algorithms work on the principle of atomicity. How Does the Divide and Conquer Algorithm Work?Īs we read earlier, while following the divide and conquer algorithmic approach, one breaks down the given problem at hand into smaller sub-problems, which are then solved individually, before being merged back into the final solution. Let us look at the same in the next section. While the above-given definition gives you a vague idea about what divide and conquer algorithms are, we aim to dive deeper into it and establish a thorough understanding of the subject using this article, where we are going to learn how the divide and conquer algorithms work. The logic behind this is that instead of performing a one-shot solution of a significant, particularly complex problem, it is generally easier to break down the problem into simpler, smaller problems which tend to be easier to solve. As the name itself signifies, the divide and conquer algorithmic approach involves breaking down a given problem into smaller sub-problems, post which these sub-problems are individually solved before being merged again into the output solution. One such paradigm in the world of algorithms is known as the “divide and conquer” algorithm. Owing to this fact, there exist thousands of known algorithms in the world of computer science as of now, with the possibility of new additions to this tally always on the table.įor the sake of understanding and studying these algorithms in a generalized, and hence efficient manner, computer scientists have over time developed some classes these algorithms can be grouped under. One of the most peculiar things, when it comes to problem-solving, is that a single problem might have a variety of algorithmic approaches to its solution. Introduction to Divide and Conquer Algorithm
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |