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IGNOU UNIVERSITY MCA - II (SEM 3) DEC 2009 : Design and Analysis of Algorithms

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IMCS-0311 MCA (Revised) Term-End Examination December, 2009 -14 MCS-031 : DESIGN AND ANALYSIS OF ALGORITHMS Maximum Marks : 100 Time :`3 hours Note : Question No. 1 is compulsory. Attempt any three questions from the rest. (a) (i) Write Euclid's Algorithm to find GCD of two positive integers. 4 (ii) Differentiate between 'problem and 'instance' with an example each. 4 (i) What is recursion ? Compare the recursive method and non recursive method to find factorial of an integer. 4 (ii) Give asymptotic upper bound for 1. 4 T(n)= 2T (%) + n 3 for n > 2 n<_2 =1 Prove the equality .= z S(n) 20+ 21.+ .. 2n-1=mn_ 1 for n?. -1 using Mathematical Induction. MCS-031 1 6 P.T.O.

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Additional Info : Mca - II (sem 3) December 2009 Question Paper - Design and Analysis of Algorithms(Revised Course)
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