Data Structures and Algorithms-I MCQs

Page No. 12

What is the time complexity for storing the maximum number of elements in Van Emde Boas tree if M is the maximum number of elements?


aO (log M)


bO (M!)


cO (M)


dO (1)


View Answer O (M)

Who Invented The vEB also known as Van Emde Boas Tree?


aPeter Van Emde Boas


bSamuel F. B. Morse


cFriedrich Clemens Gerke


dAlexander Morse


View Answer Alexander Morse

What is the other name or Van Emde Boas Tree data structure?


aVan Emde Boas Array


bVan Emde Boas Stack


cVan Emde Boas Priority Queue


dVan Emde Boas Heap



What is the condition for an equivalence relation if two cities are related within a country?


athe two cities should have a one-way connection


bthe two cities should have a two-way connection


cthe two cities should be in different countries


dno equivalence relation will exist between two cities



What is the total time spent for N-1 merges in a dynamic equivalence problem?


aO(N)


bO(log N)


cO(N log N)


dO(M log N)


View Answer O(N log N)

How many strategies are followed to solve a dynamic equivalence problem?


a1


b2


c3


d4


View Answer 2

In the Union/Find algorithm, the ranks of the nodes on a path will increase monotonically from?


aleaf to root


broot to node


croot to leaf


dleft subtree to right subtree


View Answer leaf to root

What is the worst-case running time of unions done by size and path compression?


aO(N)


bO(logN)


cO(N logN)


dO(M logN)


View Answer O(M logN)

What is the value for the number of nodes of rank r?


aN


bN/2


cN/2r


dNr


View Answer N/2r

When executing a sequence of Unions, a node of rank r must have at least 2r descendants.


atrue


bfalse


ceither true either false


dNone of the mentioned


View Answer true

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