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A heap is a useful data structure when it is necessary to repeatedly remove the object with the highest (or lowest) priority, or when insertions need to be interspersed with removals of the root node. A common implementation of a heap is the binary heap, in which the tree is a complete [2] binary tree (see figure).
// Push a new item to a (max) heap and then extract the root of the resulting heap. // heap: an array representing the heap, indexed at 1 // item: an element to insert // Returns the greater of the two between item and the root of heap.
Heap leaching is an industrial mining process used to extract precious metals, copper, uranium, and other compounds from ore using a series of chemical reactions that absorb specific minerals and re-separate them after their division from other earth materials.
In the sixteenth century, heap leaching became commonly used to extract copper and saltpeter from organic matter. [4] Primarily used in Germany and Spain, pyrite would be brought to the surface and left out in the open. [4] [3] The pyrite would be set outside for months at a time, where rain and air exposure would lead to chemical weathering. [4]
In computer science, a min-max heap is a complete binary tree data structure which combines the usefulness of both a min-heap and a max-heap, that is, it provides constant time retrieval and logarithmic time removal of both the minimum and maximum elements in it. [2]
In computer science, heapsort is a comparison-based sorting algorithm which can be thought of as "an implementation of selection sort using the right data structure." [3] Like selection sort, heapsort divides its input into a sorted and an unsorted region, and it iteratively shrinks the unsorted region by extracting the largest element from it and inserting it into the sorted region.
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Extract-Min(H), extracting and returning a handle to the minimum element, or Nil if no such element exists. Remove(h) , removing the element referenced by h (from its respective heap). Decrease-Key(h,k) , decreasing the key of the element referenced by h to k ; illegal if k is larger than the key referenced by h .