![]() This is actually done by swapping the root node with the last node and deleting the now last node (containing minimum value) and then calling min-heapify for the root node so as to maintain the heap property after changes due to swapping. This function pops out the minimum value (root element) of the heap. The time complexity of this function comes out to be O(n) where n is the number of elements in heap. It can simply be implemented by applying min-heapify to each node repeatedly. This function builds a heap from an arbitrary list (or any other iterable), that is, it takes the list and rearranges each element so as to satisfy the heap property. Since at most, it has to traverse through the depth of the tree, its time complexity is O(d),where d is the depth, or, in terms of number of nodes, O(log n), n is the number of elements in the heap. It then swaps the given node, (say i) with the found minimum value node (say j), and then calls the min-heapify function (recursively) over node j, so as to make sure the new value assigned to node j does not break the heap property in its subtree. This function first finds the node with the smallest value amongst the given node and its children. ![]() It rearranges the nodes by swapping them so as to make the given heap the smallest node in its subtree, following the heap property. This function makes a node and all its descendants (child nodes and their child) follow the heap property. Min Heap Python Understanding the functions used in the implementation of Min Heap 1.
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