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Answer :
To solve this problem, we need to figure out the array representation of the min-heap after the value 198 is deleted from it.
A min-heap is a complete binary tree where the root node is the smallest element in the heap. This means, in an array representation of a min-heap, the minimum value is always located at the start of the array.
Initial Min-Heap:
Given initial min-heap: 185, 190, 191, 199, 198
Deleting 198 from the Min-Heap:
To delete the value 198 from the min-heap, follow these steps:
- Identify the location of 198 in the heap. Since the problem mentions the heap in list form, 198 would be the last element based on typical heap insertion patterns.
- Remove the last element 198 from the list. Now you have: 185, 190, 191, 199.
- Re-heapify to ensure min-heap properties are maintained. Because 198 was at the end and not affecting the heap properties beyond its position, simply removing it should leave the rest of the elements in valid positions for a min-heap.
Thus, without any further swaps needed, the transformed min-heap remains as it worked originally.
Final Array Representation:
After removing 198 and ensuring the structure follows that of a min-heap, we get:
Option B.
185, 190, 191, 199
This matches one of the provided options, so the correct answer is Option B: 185, 190, 191, 199.
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