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1) When removing an item from a min-heap, a bubble down operation is applied where, recursively, a value is swapped with that of it's smaller

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1) When removing an item from a min-heap, a "bubble down" operation is applied where, recursively, a value is swapped with that of it's smaller child. Prove that such a swap cannot increase the number of nodes that violate the heap ordering property. 1) When removing an item from a min-heap, a "bubble down" operation is applied where, recursively, a value is swapped with that of it's smaller child. Prove that such a swap cannot increase the number of nodes that violate the heap ordering property

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