IGNOU BCA BCS 42 Introduction to Algorithm Design Solved Assignment English
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BCS 42: Introduction to Algorithm Design
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| Title Name | IGNOU BCA BCS 42 Introduction to Algorithm Design Solved Assignment English |
|---|---|
| Type | Soft Copy (E-Assignment) .pdf |
| University | IGNOU |
| Degree | BACHELOR DEGREE PROGRAMMES |
| Course Code | BCA |
| Course Name | Bachelor of Computer Applications |
| Subject Code | BCS 42 |
| Subject Name | Introduction to Algorithm Design |
| Year | 2025 2026 |
| Session | - |
| Language | English |
| Assignment Code | BCS 42/Assignment-1/2025 2026 |
| Product Description | Assignment of BCA (Bachelor of Computer Applications) 2025 2026. Latest BCS 042 2025-26 Solved Assignment Solutions |
| Format | Ready-to-Print PDF (.soft copy) |
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BCS 42 2025 2026 - English
Course Code: BCS-042
Course Title: Introduction to Algorithm design
Assignment Number: BCA(IV)/042/Assignment/2025-26
Maximum Marks: 100
Weightage: 30%
Last date of Submission: 31st October, 2025 (For July Session) 30th April, 2026 (For January Session)
This assignment has 8 questions of 10 Marks each, answer all questions. Rest 20 marks are for viva voce. Please go through the guidelines regarding assignments given in the Programme Guide for the format of presentation.
Q1. Explain the following fundamental techniques, used to design an algorithm efficiently:
-
Divide-and-Conquer
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Greedy method
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Dynamic Programming
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Backtracking
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Branch-and-Bound
Q2. Prove the following proposition using induction:
P(n): 1² + 2² + 3² + 4² + ... ... ... ... . + n² = n(n+1)(2n+1) / 6
Q3. For the function defined by f(n) = 2n³ + 3n² + 1 and g(n) = 2n² +3, show that
(i) f(n) = Ω(g(n))
(ii) g(n) != Ω(f(n))
(iii) n³ = Ω(g(n))
(iv) f(n) != Ω(n⁴)
Q4. Solve the following recurrence Using Recursion tree method
(i) T(n) = 3T(n/3) + n
(ii) T(n) = 2T(n/2) + n²
(iii) T(n) = T(n/2) + T(n/4) + T(n/8) + n
Q5. Analyze best case, average case, and worst-case time complexities of following algorithms with the help of suitable examples.
(i) Insertion sort
(ii) Binary sort
(iii) Binary search
(iv) Merge sort
Q6. Apply Kruskal's Algorithm on the following graph to find minimum cost spanning tree
Q7. Apply Dijkastra’s Algorithm to find the shortest path from source vertex ‘A’ to all other vertices for following graph.
Q8. Explain DFS and BDS Graph traversal algorithms with the help of a suitable example.
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Course: Bachelor of Computer Applications (BCA)
Subject: BCS 42 - Introduction to Algorithm Design
Session: January 2026 - December 2026
Language: English
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Product Information
| Course Name | Bachelor of Computer Applications |
| Course Code | BCA |
| Subject Code | BCS 42 |
| Subject | Introduction to Algorithm Design |
| Programme | BACHELOR DEGREE PROGRAMMES Courses |
| Language | English |
| Material Type | Solved Assignment – Soft Copy / PDF |
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