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Binary heap
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=== Decrease or increase key === <!-- section linked from [[Reheapification]] --> The decrease key operation replaces the value of a node with a given value with a lower value, and the increase key operation does the same but with a higher value. This involves finding the node with the given value, changing the value, and then down-heapifying or up-heapifying to restore the heap property. Decrease key can be done as follows: # Find the index of the element we want to modify # Decrease the value of the node # Down-heapify (assuming a max heap) to restore the heap property Increase key can be done as follows: # Find the index of the element we want to modify # Increase the value of the node # Up-heapify (assuming a max heap) to restore the heap property
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