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Module-1 of Model Paper-1 (Explained with solutions)
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1a] Define algorithm. Explain asymptotic notations Big Oh, Big Omega and Big Theta notations 1b] Explain the general plan for analyzing the efficiency of a recursive algorithm. Suggest a recursive algorithm to find factorial of number. Derive its efficiency 1c] If t1(n) ∈ O(g1(n)) and t2(n) ∈ O(g2(n)), then show that t1(n) + t2(n) ∈ O(max{g1(n), g2(n)}).
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2a] With neat diagram explain different steps in designing and analyzing an algorithm 2b] Explain the general plan for analyzing the efficiency of a non-recursive algorithm. Suggest a non-recursive algorithm to find maximum element in the list of n numbers. Derive its efficiency 2c] With the algorithm derive the worst case efficiency for Bubble sort
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Module-2 of Model Paper-1 (Explained with solutions)
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3a] Explain the concept of divide and conquer. Design an algorithm for merge sort and derive its time complexity 3b] Design an insertion sort algorithm and obtain its time complexity. Apply insertion sort on these elements. 25,75,40,10,20,
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4a] Explain Strassen’s matrix multiplication and derive its time complexity 4b] Design an algorithm for quick sort algorithm. Apply quick sort on these elements. 25,75,40,10,20,05,15
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Module-3 of Model Paper-1 (Explained with solutions)
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5a ] Define AVL Trees. Explain its four rotation types 5b] Construct bottom up heap for the list 2,9,7,6,5,8. Obtain its time complexity
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6a] Define heap. Explain the properties of heap along with its representation. 6b] Design Horspools algorithm for string matching. Apply Horspools algorithm to find the pattern BARBER in the text: JIM_SAW_ME_IN_A_BARBERSHOP
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Module-4 of Model Paper-1 (Explained with solutions)
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7a] Construct minimum cost spanning tree using Kruskals algorithm for the following graph. 7b] What are Huffman Trees? Construct the Huffman tree for the following data.
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8a] Apply Dijkstra’s algorithm to find single source shortest path for the given graph by considering S as the source vertex. 8b] Define transitive closure of a graph. Apply Warshalls algorithm to compute transitive closure of a directed graph
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Module-5 of Model Paper-1 (Explained with solutions)
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9a] Explain the following with examples i) P problem ii) NP Problem iii) NP- Complete problem iv) NP – Hard Problems 9b] What is backtracking? Apply backtracking to solve the below instance of sum of subset problem S={5,10,12,13,15,18} d=30
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10a] Illustrate N queen’s problem using backtracking to solve 4-Queens problem 10b] Using Branch and Bound technique solve the below instance of knapsack problem.
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Analysis and Designs of Algorithms (ADA) || BCS401 || BCO402 || BAD401 || Model Question Paper-1 with solutions (EXPLAINED) || CSE stream || 2022 Scheme || Video Course and Study Material
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