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Consider the following elements:
5 , 12 , 3 , 15 , 4 , 6 , 10
These elements are inserted one-by-one into two separate heaps, one min-heap and another max heap. Then these two heaps are stored in two different arrays starting from index How many elements have the same index value in both the arrays _______.
Correct answer is '0'. Can you explain this answer?
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Verified Answer
Consider the following elements:5 , 12 , 3 , 15 , 4 , 6 , 10These ele...
Min-Heap after all insertions
Max-Heap after all insertions
Clearly, no element has the same index.
Hence, answer = 0
Most Upvoted Answer
Consider the following elements:5 , 12 , 3 , 15 , 4 , 6 , 10These ele...
Min-Heap:
A min-heap is a complete binary tree where the value of each node is smaller than or equal to the values of its children. The root node of the min-heap contains the smallest element.
Max-Heap:
A max-heap is a complete binary tree where the value of each node is greater than or equal to the values of its children. The root node of the max-heap contains the largest element.
Insertion Process:
1. Initialize two empty arrays: minHeap and maxHeap.
2. Insert the first element, 5, into both heaps.
- minHeap = [5]
- maxHeap = [5]
3. Insert the second element, 12, into both heaps.
- minHeap = [5, 12]
- maxHeap = [12, 5]
4. Insert the third element, 3, into both heaps.
- minHeap = [3, 5, 12]
- maxHeap = [12, 5, 3]
5. Insert the fourth element, 15, into both heaps.
- minHeap = [3, 5, 12, 15]
- maxHeap = [15, 12, 3, 5]
6. Insert the fifth element, 4, into both heaps.
- minHeap = [3, 4, 12, 15, 5]
- maxHeap = [15, 12, 4, 5, 3]
7. Insert the sixth element, 6, into both heaps.
- minHeap = [3, 4, 6, 15, 5, 12]
- maxHeap = [15, 12, 6, 5, 3, 4]
8. Insert the seventh element, 10, into both heaps.
- minHeap = [3, 4, 6, 15, 5, 12, 10]
- maxHeap = [15, 12, 10, 5, 3, 4, 6]
Comparison of Arrays:
To find the elements with the same index value in both arrays, we compare the elements at each index.
minHeap = [3, 4, 6, 15, 5, 12, 10]
maxHeap = [15, 12, 10, 5, 3, 4, 6]
Since the elements are inserted one-by-one in both heaps, the elements will have the same index value in both arrays. However, the elements themselves are not the same.
Conclusion:
Therefore, the correct answer is '0'. No elements have the same value at the same index in both arrays.
A min-heap is a complete binary tree where the value of each node is smaller than or equal to the values of its children. The root node of the min-heap contains the smallest element.
Max-Heap:
A max-heap is a complete binary tree where the value of each node is greater than or equal to the values of its children. The root node of the max-heap contains the largest element.
Insertion Process:
1. Initialize two empty arrays: minHeap and maxHeap.
2. Insert the first element, 5, into both heaps.
- minHeap = [5]
- maxHeap = [5]
3. Insert the second element, 12, into both heaps.
- minHeap = [5, 12]
- maxHeap = [12, 5]
4. Insert the third element, 3, into both heaps.
- minHeap = [3, 5, 12]
- maxHeap = [12, 5, 3]
5. Insert the fourth element, 15, into both heaps.
- minHeap = [3, 5, 12, 15]
- maxHeap = [15, 12, 3, 5]
6. Insert the fifth element, 4, into both heaps.
- minHeap = [3, 4, 12, 15, 5]
- maxHeap = [15, 12, 4, 5, 3]
7. Insert the sixth element, 6, into both heaps.
- minHeap = [3, 4, 6, 15, 5, 12]
- maxHeap = [15, 12, 6, 5, 3, 4]
8. Insert the seventh element, 10, into both heaps.
- minHeap = [3, 4, 6, 15, 5, 12, 10]
- maxHeap = [15, 12, 10, 5, 3, 4, 6]
Comparison of Arrays:
To find the elements with the same index value in both arrays, we compare the elements at each index.
minHeap = [3, 4, 6, 15, 5, 12, 10]
maxHeap = [15, 12, 10, 5, 3, 4, 6]
Since the elements are inserted one-by-one in both heaps, the elements will have the same index value in both arrays. However, the elements themselves are not the same.
Conclusion:
Therefore, the correct answer is '0'. No elements have the same value at the same index in both arrays.
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