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2016 ASSIGNMENT
PROGRAM - Master of Science in Information
Technology (MSc IT)Revised Fall 2011
SEMESTER - 2
SUBJECT CODE & NAME – mca4040-
ANALYSIS AND DESIGN OF ALGORITHMS
CREDIT 4 BK ID B1480 MAX.
MARKS 60
Q1. Write the steps
involved in analyzing the efficiency of non-recursive algorithms.
Answer: Answer:
The steps involved in analyzing the efficiency of
non-recursive algorithms are as follows:
Decide the input size based on the
constraint n
Identify the
2 Define selection sort and
explain how to implement the selection sort? 3+7=10
Answer:
Definition: Selection sort is one of the simplest
and performance oriented sorting techniques that work well for small files. It
has time complexity as O(n2) which is unproductive on large lists.
3 What is mean by
Topological sort? And explain with example. 5+5=10
Answer: Topological sort is done using a
directed acyclic graph (DAG), which is a linear ordering of all vertices G= (V,
E) is an ordering of all vertices such that if G contains an edge (u, v), then
u appears before v in the ordering. A topological sort of a particular graph
can be looked upon as a horizontal line where all directed edges travel from
left to right. Thus, topological sort differs from the
4. Explain good-suffix and
bad-character shift in Boyer-Moore algorithm. 5+5=10
Answer:
Good suffix Shift
This shift helps in shifting a matched
part of the pattern, and is denoted by Q. Good suffix shift Q is applied after
0 < k < m characters are matched.
Q = distance
5 Solve the Knapsack
problem using memory functions.
Item 1 2 3 4
Weight 2 6 4 8
Value (in Rs.) 12 16 30 40
Knapsack capacity is given
as W=12. Analyze the Knapsack problem using memory functions with the help of
the values given above. 10
Answer:
Knapsack Problem by Memory
Functions
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I
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0
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1
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2
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3
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4
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5
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6
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7
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8
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9
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10
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6 Describe Variable Length
Encoding and Huffman Encoding.
Answer:
Variable Length Encoding
Variable-length
codes can allow sources to be compressed and decompressed with zero error
(lossless data compression) and still be read back symbol by symbol. With the
right coding strategy an
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