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fall 2015 ASSIGNMENT
PROGRAM - Master of Science in
Information Technology (MSc IT)Revised Fall 2011
SEMESTER - 2
SUBJECT CODE & NAME – Mit203-
ANALYSIS AND DESIGN OF ALGORITHMS
CREDIT 4 BK ID B1480 MAX.
MARKS 60
Q1.
Describe the properties of Algorithms.
Answer:
Properties of algorithms
An algorithm may have zero or
more inputs externally and it should produce one or more output. Also, an
algorithm
2 Define selection sort.
Explain with an example.
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
3 Define and explain
Topological sort with an 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
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:
As we know, dynamic programming deals with problems whose
solutions satisfy a recurrence relation with overlapping sub problems. It uses
a direct top down approach to find a solution to such recurrence. This is a
very
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 independent and identically-distributed source may be
compressed almost
Get fully solved assignment. Buy online from website
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