Suppose we have an ArrayHeap that uses the array representation from class (also called "tree representation 38" in lecture). Recall that in this representation that the leftmost item is unused. Consider a heap with the following underlying array: -8 -2 9| 8 1 10 | 10 12 Suppose we are using our heap to represent a priority queue. If we call removesmallest on the heap above, where will the 12 end up after removeSmallest has completed execution? Assume removeSmallest works as described in the lecture. By "completed execution", we mean the entire operation is done and the array again obeys our heap properties. O 12 will not move. O 12 will not be present in the heap. O In the root position previously occupied by a -8. O In a position previously occupied by a 5. O In a position previously occupied by a -2. O In a position previously occupied by a 9. O In a position previously occupied by a 8. O In a position previously occupied by a 0. O In a position previously occupied by a 1.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Suppose we have an ArrayHeap<int> that uses the array representation from class (also called "tree representation 3B" in lecture). Recall that in this representation that the leftmost item is unused.
Consider a heap with the following underlying array:
| •| | 2|•| • | •| |
-8
5
1
10 | 10 | 12
---
Suppose we are using our heap to represent a priority queue. If we call removeSmallest on the heap above, where will the 12 end up after removeSmallest has completed execution?
Assume removeSmallest works as described in the lecture. By "completed execution", we mean the entire operation is done and the array again obeys our heap properties.
O 12 will not move.
O 12 will not be present in the heap.
O In the root position previously occupied by a -8.
O In a position previously occupied by a 5.
O In a position previously occupied by a -2.
O In a position previously occupied by a 9.
O In a position previously occupied by a 8.
O In a position previously occupied by a 0.
O In a position previously occupied by a 1.
O In a position previously occupied by a 10.
Transcribed Image Text:Suppose we have an ArrayHeap<int> that uses the array representation from class (also called "tree representation 3B" in lecture). Recall that in this representation that the leftmost item is unused. Consider a heap with the following underlying array: | •| | 2|•| • | •| | -8 5 1 10 | 10 | 12 --- Suppose we are using our heap to represent a priority queue. If we call removeSmallest on the heap above, where will the 12 end up after removeSmallest has completed execution? Assume removeSmallest works as described in the lecture. By "completed execution", we mean the entire operation is done and the array again obeys our heap properties. O 12 will not move. O 12 will not be present in the heap. O In the root position previously occupied by a -8. O In a position previously occupied by a 5. O In a position previously occupied by a -2. O In a position previously occupied by a 9. O In a position previously occupied by a 8. O In a position previously occupied by a 0. O In a position previously occupied by a 1. O In a position previously occupied by a 10.
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