1
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
A complete n-ary tree is a tree in which each node has n children or no children. Let I be the number of internal nodes and L be the number of leaves in a complete n-ary tree. If L = 41, and I = 10, what is the value of n?
A
3
B
4
C
5
D
6
2
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
An array X of n distinct integers is interpreted as a complete binary tree. The index of the first element of the array is 0. If the root node is at level 0, the level of element X[i], i ≠ 0, is
A
⌊log2 i⌋
B
⌈log2 (i + 1)⌉
C
⌊log2 (i + 1)⌋
D
⌈log2 i⌉
3
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
An array X of n distinct integers is interpreted as a complete binary tree. The index of the first element of the array is 0. If only the root node does not satisfy the heap property, the algorithm to convert the complete binary tree into a heap has the best asymptotic time complexity of
A
O(n)
B
O(log n)
C
O(nlog n)
D
O(n log log n)
4
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
An array X of n distinct integers is interpreted as a complete binary tree. The index of the first element of the array is 0. The index of the parent of element X[i],i≠0 is?
A
⌊ i/2 ⌋
B
⌈ (i-1)/2 ⌉
C
⌈ i/2 ⌉
D
⌈ i/2 - 1 ⌉
GATE CSE Subjects
Software Engineering
Web Technologies
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