Divide and conquer in software design




















Do I mean to isolate and weaken the individual team members so that they can be easily ruled , sorry, managed , and that the goals can be achieved without any form of dissent? But how could I achieve the goal that was assigned to the team I was working with - 20 developers, more than 1 million lines of code, more than 15 thousand errors, hundreds of features to be rewritten - if not with Divide and Conquer!?

Software development is the act of breaking a complex problem down into smaller problems and composing simple solutions to form a complete solution to the complex problem. This is actually true for any big task, it helps if you break the task down into smaller, more manageable parts.

Little piece by little piece, the big task is less intimidating. So, we had iterative coding design sessions to discuss solutions collectively within the small groups though. Knowledge sharing: weekly present some interesting solutions or learnings to other team members. We dismantled Silos and Towers of Knowledge : especially with this high churn rate - we could not afford to have someone be the only one responsible for doing things or knowing how to do certain things.

Exercises are due some Tuesdays and Fridays. I recommend you start them early. In my experience with solving tricky problems, it is more productive to work on them in short bursts, with breaks in between. You may collaborate with up to 4 other people i. You may additionally use external materials with following restrictions:. Unless otherwise indicated, pdfs must be generated by LaTeX, and must be done by modifying the template file given.

This is the first unit that will count for a grade. There will be a total of 3 exercises for this unit two written and one programming. This first exercise is intended to help you develop familiarity with asymptotic complexity, recurrence relations, and divide and conquer algorithms.

In total there are 3 problems, one for each of those respective concepts. In general, everything you need to change within the problem set is marked with a TODO comment, so look for those. This will remove the problem set instructions, leaving your solutions in the document. Remember to add your resources and collaborators to collaborators in exercise. Finally, download the pdf generated by your LaTeX code, call it dandc1.

Binary Search Problem that is also known as a half-interval search, is a search algorithm that finds the position of a target value within a sorted array. Binary search compares the target value to the middle element of the array; if they are unequal, the half in which the target can't lie is eliminated and the search continues on the remaining half until the target value is found.

If the search ends with the remaining half being empty, the target is not in the array. The above idea leads to the Divide-and-Conquer principle.

But can we apply Dynamic Programming to it? No, we can't use DP to it because there are no overlapping sub-problems. Every time we split the array into completely independent parts. So, the solutions of the sub-problems cannot be re-used somewhere else.

You can also take the example of Merge sort here to know whether Dynamic Programming can be used there or not? From the above, we can conclude that dynamic programming is based on divide-and-conquer and it can be applied only when the problem has optimal substructure and overlapping sub-problems. Previous Page. Next Page. Useful Video Courses. More Detail. InDesign Online Training 43 Lectures 1.



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