Data Structures and Algorithms-I MCQs

Page No. 13

What is the depth of any tree if the union operation is performed by height?


aO(N)

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bO(log N)

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cO(N log N)

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dO(M log N)

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View Answer O(log N)

___________ is one of the earliest forms of a self-adjustment strategy used in splay trees, skew heaps.


aUnion by rank

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bEquivalence function

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cDynamic function

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dPath compression

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View Answer Path compression

What is the definition for Ackermann’s function?


aA(1,i) = i+1 for i>=1

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bA(i,j) = i+j for i>=j

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cA(i,j) = i+j for i = j

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dA(1,i) = i+1 for i<1

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View Answer A(1,i) = i+1 for i>=1

Path Compression algorithm performs in which of the following operations?


aCreate operation

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bInsert operation

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cFind operation

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dDelete operation

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View Answer Find operation

What is the worst case efficiency for a path compression algorithm?


aO(N)

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bO(log N)

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cO(N log N)

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dO(M log N)

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View Answer O(M log N)

Electrical connectivity is an example of equivalence relation.


atrue

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bfalse

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ceither true either false

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dNone of the mentioned

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View Answer true

A relation R on a set S, defined as x R y if and only if y R x. This is an example of?


areflexive relation

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bsymmetric relation

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ctransitive relation

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dinvalid relation

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View Answer symmetric relation

How many properties will an equivalent relationship satisfy?


a1

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b2

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c3

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d4

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View Answer 3

Bigger the query rectangle the better is the query efficiency.


atrue

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bfalse

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ceither true either false

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dNone of the mentioned

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View Answer false

Efficiency of bin depends upon ___________


asize of query and candidates

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blocation of query and candidates

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clocation and size of query and candidates

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ddepends on the input

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