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 ⌉
2
GATE CSE 2006
MCQ (Single Correct Answer)
Which of the following sequences of array elements forms a heap?
A
{23, 17, 14, 6, 13, 10, 1, 12, 7, 5}
B
{23, 17, 14, 6, 13, 10, 1, 5, 7, 12}
C
{23, 17, 14, 7, 13, 10, 1, 5, 6, 12}
D
{23, 17, 14, 7, 13, 10, 1, 12, 5, 7}
3
GATE CSE 2006
MCQ (Single Correct Answer)
Suppose that we have numbers between 1 and 100 in a binary search tree and want to search for the number 55. Which of the following sequences CANNOT be the sequence of nodes examined?
A
{10, 75, 64, 43, 60, 57, 55}
B
{90, 12, 68, 34, 62, 45, 55}
C
{9, 85, 47, 68, 43, 57, 55}
D
{79, 14, 72, 56, 16, 53, 55}
4
GATE CSE 2005
MCQ (Single Correct Answer)
A Priority-Queue is implemented as a Max-Heap. Initially, it has 5 elements. The level-order traversal of the heap is given below:
10, 8, 5, 3, 2
Two new elements ”1‘ and ”7‘ are inserted in the heap in that order. The level-order traversal of the heap after the insertion of the elements is:
A
10, 8, 7, 5, 3, 2, 1
B
10, 8, 7, 2, 3, 1, 5
C
10, 8, 7, 1, 2, 3, 5
D
10, 8, 7, 3, 2, 1, 5
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