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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
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A Priority-Queue is implemented as a Max-Heap. Initially, it has 5 ele...
Initially heap has 10, 8, 5, 3, 2
    10
   /  \ 
  8    5
 / \
3   2

After insertion of 1
     10
   /   \ 
  8     5
 / \   /
3   2 1 
No need to heapify as 5 is greater than 1.


After insertion of 7
     10
   /   \ 
  8     5
 / \   / \
3   2 1   7
Heapify 5 as 7 is greater than 5
     10
   /   \ 
  8     7
 / \   / \
3   2 1   5
No need to heapify any further as 10 is
greater than 7 
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Most Upvoted Answer
A Priority-Queue is implemented as a Max-Heap. Initially, it has 5 ele...
Explanation:

The given heap has the following level-order traversal: 10, 8, 5, 3, 2.

Insertion of element 1:
When the element 1 is inserted, it will be placed at the next available position in the heap, which is the left child of the element 5. The heap property is violated because 1 is smaller than its parent 5. To restore the heap property, the element 1 needs to be swapped with its parent until it reaches its correct position.

After swapping 1 with 5, the heap becomes: 10, 8, 1, 3, 2, 5.

Insertion of element 7:
When the element 7 is inserted, it will be placed at the next available position in the heap, which is the right child of the element 5. The heap property is violated because 7 is greater than its parent 5. To restore the heap property, the element 7 needs to be swapped with its parent until it reaches its correct position.

After swapping 7 with 5, the heap becomes: 10, 8, 7, 3, 2, 1, 5.

So, the level-order traversal of the heap after the insertion of the elements 1 and 7 is: 10, 8, 7, 3, 2, 1, 5.

Therefore, the correct answer is option 'D': 10, 8, 7, 3, 2, 1, 5.
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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, 1b)10, 8, 7, 2, 3, 1, 5c)10, 8, 7, 1, 2, 3, 5d)10, 8, 7, 3, 2, 1, 5Correct answer is option 'D'. Can you explain this answer?
Question Description
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, 1b)10, 8, 7, 2, 3, 1, 5c)10, 8, 7, 1, 2, 3, 5d)10, 8, 7, 3, 2, 1, 5Correct answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about 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, 1b)10, 8, 7, 2, 3, 1, 5c)10, 8, 7, 1, 2, 3, 5d)10, 8, 7, 3, 2, 1, 5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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, 1b)10, 8, 7, 2, 3, 1, 5c)10, 8, 7, 1, 2, 3, 5d)10, 8, 7, 3, 2, 1, 5Correct answer is option 'D'. Can you explain this answer?.
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