GATE CS 2019 Set 1 — Question 35
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumD&C ParadigmDivide & ConquerAlgorithms
Algorithms → Divide & Conquer → D&C Paradigm
Last updated
Question
Consider a sequence of 14 elements: .
The subsequence sum . Determine the maximum of , where . (Divide and conquer approach may be used.)
The subsequence sum . Determine the maximum of , where . (Divide and conquer approach may be used.)
Correct answer
29 to 29
Solution
We need the maximum sum of a contiguous block (Kadane's algorithm; a divide-and-conquer approach gives the same result).Kadane: keep = best sum of a block ending at the current index, , and track the best value seen.
The maximum is attained by .Answer: 29
| best | |||
|---|---|---|---|
| 0 | |||
| 1 | |||
| 2 | 6 | 6 | 6 |
| 3 | 3 | 9 | 9 |
| 4 | 8 | 9 | |
| 5 | 6 | 9 | |
| 6 | 13 | 19 | 19 |
| 7 | 4 | 23 | 23 |
| 8 | 14 | 23 | |
| 9 | 13 | 23 | |
| 10 | 4 | 17 | 23 |
| 11 | 12 | 29 | 29 |
| 12 | 26 | 29 | |
| 13 | 0 | 26 | 29 |
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CS question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Divide & Conquer
2026 Set 1 Q17Consider the following recurrence relations: For all ,…2026 Set 2 Q24Consider the following functions, where is a positive integer.…2026 Set 2 Q25Which of the following can be recurrence relation(s) corresponding to an algorithm with time…2026 Set 2 Q32Consider an array . Suppose the merge sort algorithm is…2026 Set 2 Q37Let be a weighted directed acyclic graph with edges and vertices. Given and a…