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min heap insertion

By Comfortable ChipmunkComfortable Chipmunk on Dec 11, 2020
Williams Algorithm: top downwhile not end of array, 	if heap is empty, 		place item at root; 	else, 		place item at bottom of heap; 		while (child < parent) 			swap(parent, child); 	go to next array element; end

Source: randerson112358.medium.com

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min heap insertion

By Comfortable ChipmunkComfortable Chipmunk on Dec 11, 2020
Williams Algorithm: top downwhile not end of array, 	if heap is empty, 		place item at root; 	else, 		place item at bottom of heap; 		while (child > parent) 			swap(parent, child); 	go to next array element; end

Source: randerson112358.medium.com

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delete an element from a given position in min heap

By Friendly FinchFriendly Finch on May 17, 2020
    1, Delete a node from the array 
       (this creates a "hole" and the tree is no longer "complete")

    2. Replace the deletion node
       with the "fartest right node" on the lowest level
       of the Binary Tree
       (This step makes the tree into a "complete binary tree")

    3. Heapify (fix the heap):

         if ( value in replacement node < its parent node )
            Filter the replacement node UP the binary tree
         else
	    Filter the replacement node DOWN the binary tree
 

Source: www.mathcs.emory.edu

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