Design and Analysis of Algorithms Mid - II, April - 2012
1.The name backtrack was first coined by
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D.H Lehmar
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J.D. Ullman
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K.Thompson
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R.E. Bellman
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Answer: A
2.If M=15, n=4, =(10,10,12,18) and =(2,4,6,9) of 0/1 knapsack problem then the maximum profit is
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32
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34
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36
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38
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Answer: D
3.In branch-and-bound method, for nodes representing infeasible solutions, C(x) =
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Infinite
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0
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1
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2
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Answer: A
4.__________ Functions find a live node with least cost function in LC search
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minimum()
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Maximum()
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Least()
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Search()
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Answer: C
6.We start at a particular node in the graph, visiting all nodes exactly once and come back to initial node with minimum cost is known as
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0/1 knapsack problem
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Optimal storage on tapes
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Minimum cost spanning tree
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Travelling sales person problem
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Answer: D
7.For infinite state space trees with no answer nodes
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LC search will terminate
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LC search will not terminate
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LC search can not be conducted
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Termination of LC search depends on cost function
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Answer: A
8.The FIFO search coupled with bounding functions is called as
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FIFOBB
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Least count search
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Cumulative reduction function
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Column reduction
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Answer: A
9.NP complete stands for
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Natural polynomial time complete
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Non polynomial time complete
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N-power time complete
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Non deterministic polynomial time complete
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Answer: D
10.Only _________ can be NP complete
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Linear problems
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Non linear problems
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Decision problems
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Hard problems
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Answer: C
11.Tractability means ____________.
Answer: Practically useful algorithm
12.____________ is the set of decision problems that can be solved by a deterministic machine in a polynomial time.
Answer: Complexity class P
13.____________ process in one whose behavior is non deterministic i.e, the next state of the environment is not fully determined by the previous state of the environment.
Answer: Stochastic
14.In FIFOBB square node indicates ___________.
Answer: Answer nodes
15.The LC branch and bound search of a tree will begin with upper _________.
Answer: 0
16.An optimal solution is a feasible solution with _______.
Answer: Maximum value
17.In branch and bound method the three common search strategies are ____________, __________________ and ____________.
Answer: FIFO, LIFO and LC
18.In FIFOBB initially the queue of live nodes is __________.
Answer: Empty
19.A problem is intractable if all algorithms to solve that problem are of atleast __________.
Answer: Exponential time complexity
20.In __________ algorithms, the result of every operation is uniquely defined.
Answer: deterministic