All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  If a problem can be solved by combining optim... Start Learning for Free
SaveJoin the Discussion on the App
If a problem can be solved by combining optimal solutions to non-overlapping problems, the strategy is called _____________
  • a)
    Dynamic programming
  • b)
    Greedy
  • c)
    Divide and conquer
  • d)
    Recursion
Correct answer is option 'C'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
If a problem can be solved by combining optimal solutions to non-overl...
In divide and conquer, the problem is divided into smaller non-overlapping subproblems and an optimal solution for each of the subproblems is found. The optimal solutions are then combined to get a global optimal solution. For example, mergesort uses divide and conquer strategy.
View all questions of this test
Most Upvoted Answer
If a problem can be solved by combining optimal solutions to non-overl...

Divide and conquer is a problem-solving strategy that involves breaking a problem into smaller subproblems, solving each subproblem independently, and then combining the solutions to the subproblems to obtain the solution to the original problem. This approach is especially useful when the problem can be divided into non-overlapping subproblems and the optimal solutions to these subproblems can be combined to solve the original problem.

Algorithm:
1. Divide the problem into smaller subproblems.
2. Solve each subproblem independently.
3. Combine the solutions to the subproblems to obtain the solution to the original problem.

Example:


Suppose we have a problem of finding the maximum element in an array. We can divide the array into two halves, find the maximum element in each half, and then compare the two maximum elements to find the overall maximum.

Here is the algorithm for finding the maximum element using the divide and conquer strategy:
1. If the array has only one element, return that element.
2. Divide the array into two halves.
3. Recursively find the maximum element in each half.
4. Compare the two maximum elements and return the larger one.

By dividing the problem into smaller subproblems and finding the maximum element in each subproblem, we can solve the original problem efficiently.

Advantages:


1. Efficiency: The divide and conquer strategy can often lead to efficient algorithms, especially when the subproblems are non-overlapping and can be solved independently.
2. Modularity: By breaking the problem into smaller subproblems, the overall problem becomes easier to understand and solve.
3. Scalability: The divide and conquer strategy is scalable and can be applied to problems of various sizes.

Using the divide and conquer strategy can lead to optimal solutions by combining the optimal solutions to non-overlapping subproblems. This approach is widely used in various algorithms and problem-solving techniques.
< Previous Question Next Question >
Explore Courses for Computer Science Engineering (CSE) exam

Similar Computer Science Engineering (CSE) Doubts

Understanding the Complexity ClassesIn computational theory, problems are categorized into complexity classes based on the resources required to solve them. Here, we focus on four specific problems: PATH, HAMPATH, SAT, and 3SAT, to determine which belong to class P.What is Class P?- Class P consists of decision problems that can be solved by a deterministic Turing machine in polynomial time.- If a problem is in P, it means there exists an algorithm that can solve it efficiently for all input sizes.Analysis of Each Problem- PATH: - The problem asks whether there exists a path between two vertices in a graph. - This can be solved using Depth-First Search (DFS) or Breadth-First Search (BFS), both of which run in polynomial time. - Conclusion: PATH is in P.- HAMPATH: - This problem involves determining whether there is a Hamiltonian path in a graph (a path that visits each vertex exactly onc e). - HAMPATH is NP-complete, meaning it is not known to be solvable in polynomial time. - Conclusion: HAMPATH is not in P.- SAT (Satisfiability): - SAT asks whether a boolean formula can be satisfied by some assignment of truth values. - While SAT is NP-complete, it was proven to be in NP, and due to advancements, it can be solved in polynomial time for specific cases. - Conclusion: SAT is not in P generally.- 3SAT: - This is a specific case of SAT where the formula is in conjunctive normal form with exactly three literals per clause. - 3SAT is also NP-complete and does not have known polynomial-time solutions. - Conclusion: 3SAT is not in P.Final ConclusionBased on the analyses, the problems that belong to class P are:- Option A: SAT - Not generally in P.- Option C: PATH - In P.Thus, only PATH is confirmed to be in P.

Top Courses for Computer Science Engineering (CSE)View all

Top Courses for Computer Science Engineering (CSE)

If a problem can be solved by combining optimal solutions to non-overlapping problems, the strategy is called _____________a)Dynamic programmingb)Greedyc)Divide and conquerd)RecursionCorrect answer is option 'C'. Can you explain this answer?
Question Description
If a problem can be solved by combining optimal solutions to non-overlapping problems, the strategy is called _____________a)Dynamic programmingb)Greedyc)Divide and conquerd)RecursionCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about If a problem can be solved by combining optimal solutions to non-overlapping problems, the strategy is called _____________a)Dynamic programmingb)Greedyc)Divide and conquerd)RecursionCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a problem can be solved by combining optimal solutions to non-overlapping problems, the strategy is called _____________a)Dynamic programmingb)Greedyc)Divide and conquerd)RecursionCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If a problem can be solved by combining optimal solutions to non-overlapping problems, the strategy is called _____________a)Dynamic programmingb)Greedyc)Divide and conquerd)RecursionCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of If a problem can be solved by combining optimal solutions to non-overlapping problems, the strategy is called _____________a)Dynamic programmingb)Greedyc)Divide and conquerd)RecursionCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If a problem can be solved by combining optimal solutions to non-overlapping problems, the strategy is called _____________a)Dynamic programmingb)Greedyc)Divide and conquerd)RecursionCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If a problem can be solved by combining optimal solutions to non-overlapping problems, the strategy is called _____________a)Dynamic programmingb)Greedyc)Divide and conquerd)RecursionCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If a problem can be solved by combining optimal solutions to non-overlapping problems, the strategy is called _____________a)Dynamic programmingb)Greedyc)Divide and conquerd)RecursionCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If a problem can be solved by combining optimal solutions to non-overlapping problems, the strategy is called _____________a)Dynamic programmingb)Greedyc)Divide and conquerd)RecursionCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup