Q. For the given algorithm, find the probability of finding after k iterations:
find_a(array A, n, k)

begin

i=0

repeat

Randomly select one element out of n elements

i=i+1

until i=k or a is found

end

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Q. State true or false:
Statement: A turing machine has the capability of using randomly ‘generated’ numbers.

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Q. Unix sort command uses _________ as its sorting technique.

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Q. Prisonner’s dilemma can be related to the following:

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Q. Which of the following algorithms are probably correct as well as fast?

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Q. Which of the following are probalistic algorithms?

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Q. Which of the following options match the given statement:
Statement: The algorithms that use the random input to reduce the expected running time or memory usage, but always terminate with a correct result in a bounded amount of time.

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Q. A randomized algorithm uses random bits as input inorder to achieve a _____________ good performance over all possible choice of random bits.

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Q. Which of the following PSPACE can be characterized into?

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Q. Complement of all the problems in PSPACE is ________

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Q. Without needing extra __________ we can simulate non deterministic turing machine using deterministic turing machine.

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Q. Statement : All PSPACE problems can be reduced to PSPACE-complete problems.
State true or false:

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Q. NL ∈ PSPACE ∈ EXPSPACE
The given relation involves which of the following theorems?

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Q. Correct the given order:
NL∈ P∈ NP∈ PH∈ PSPACE

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Q. The class PSPACE is closed under the following operations:

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Q. Savitch theorem relates to which of the following:

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Q. PSPACE is strictly the super set of:

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Q. All set of polynomial questions which can be solved by a turing machine using a polynomial amount of space:

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Q. Fibonacci number falls in the category of _________ combinatorics.

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Q. State true or false:
Statement: Hamiltonian cycles through any fixed edge is always even, so if one such cycle is given, the second one must also exists.

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