I'm currently stuck on this heap transformation problem and would appreciate any help or insights you can provide.
Consider the following two (min) heaps, represented using arrays: Heap A: [ , 4, 5, 6, 15, 9, 7, 20, 16, 25, 14, 12, 11, 8 ] Heap B : [ , 3, 8, 5, 15, 9, 6, 20, 16, 25, 14, 12, 11, 7 ] What minimal sequence of insert and/or removeMin operations on heap A will transform it into heap B ?
- HEAP A
- HEAP B:
removeMin(): This will remove the minimum element from Heap A, which is 4.
Heap A: [ , 5, 6, 15, 9, 7, 20, 16, 25, 14, 12, 11, 8 ]
insert(7): This will insert the element 7 into Heap A, maintaining the heap property.
Heap A: [ , 5, 6, 15, 9, 7, 7, 20, 16, 25, 14, 12, 11, 8 ]
removeMin(): This will remove the minimum element from Heap A, which is 5.
Heap A: [ , 6, 7, 15, 9, 7, 20, 16, 25, 14, 12, 11, 8 ]
insert(6): This will insert the element 6 into Heap A, maintaining the heap property.
Heap A: [ , 6, 7, 15, 9, 7, 6, 20, 16, 25, 14, 12, 11, 8 ]
removeMin(): This will remove the minimum element from Heap A, which is 6.
Heap A: [ , 7, 7, 15, 9, 7, 6, 20, 16, 25, 14, 12, 11, 8 ]
insert(5): This will insert the element 5 into Heap A, maintaining the heap property.
Heap A: [ , 7, 7, 15, 9, 5, 6, 20, 16, 25, 14, 12, 11, 8 ]
removeMin(): This will remove the minimum element from Heap A, which is 5.
Heap A: [ , 7, 7, 15, 9, 5, 6, 20, 16, 25, 14, 12, 11, 8 ]
insert(3): This will insert the element 3 into Heap A, maintaining the heap property.
Heap A: [ , 7, 7, 15, 9, 3, 6, 20, 16, 25, 14, 12, 11, 8 ]
After these operations, Heap A will be the same as Heap B:
Heap A: [ , 3, 8, 5, 15, 9, 6, 20, 16, 25, 14, 12, 11, 7 ]
I've given it my best shot, but I'm still struggling to find the optimal sequence of operations for same kind of question, it takes me hours to solve it. Any guidance or suggestions would be greatly appreciated!

