Data Structures and Algorithms-I MCQs

Page No. 18

Given an array of element 5, 7, 9, 1, 3, 10, 8, 4. Which of the following are the correct sequences of elements after inserting all the elements in a min-heap?


a1,3,4,5,7,8,9,10

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b1,4,3,9,8,5,7,10

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c1,3,4,5,8,7,9,10

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d1,3,7,4,8,5,9,10

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View Answer 1,3,4,5,7,8,9,10

What is the location of a parent node for any arbitrary node i?


a(i/2) position

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b(i+1)/ position

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cfloor(i/2) position

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dceil(i/2) position

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View Answer floor(i/2) position

What is the best case complexity in building a heap?


aO(nlogn)

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bO(2n)

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cO(n*longn *logn)

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dO(n)

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View Answer O(n)

What is the space complexity of searching in a heap?


aO(logn)

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bO(n)

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cO(1)

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dO(nlogn)

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View Answer O(n)

The leaf node for a heap of height h will be at which position.


ah

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bh-1

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ch or h-1

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dh-2

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View Answer h or h-1

Does there exist a heap with seven distinct elements so that the Inorder traversal gives the element in sorted order.


aYes

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bNo

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ceither Yes either No

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dNone of the mentioned

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View Answer No

The total comparisons in finding both smallest and largest elements are


a2*n +2

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bn + ((n+1)/2) -2

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cn+logn

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dn2

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View Answer n + ((n+1)/2) -2

What is the worst case time in searching minimum value in weak -heap?


aO(log n)

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bO(n)

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cO(n logn)

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dO(1)

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View Answer O(1)

What is the other name of weak heap?


aMin-heap

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bMax-heap

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cRelaxed -heap

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dLeonardo heap

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View Answer Relaxed -heap

Left child of parent node has value lesser than the parent node.


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

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