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Assume a complete binary tree T with n nodes where each node has an item (value). Label the nodes of the complete binary tree T from top to bottom & from left to right 0, 1, ..., n-1. Relate with T the array A where the ith entry of A is the item in the node labeled i of T, i = 0, 1, ..., n-1. Table illustrates the array representation of a Binary tree of Figure
Given the index i of a node, we can efficiently & easily compute the index of its parent and left & right children:
Index of Parent: (i - 1)/2, Index of Left Child: 2i + 1, Index of Right Child: 2i + 2.
Node #
Item
Left child
Right child
0
A
1
2
B
3
4
C
-1
D
5
6
E
7
8
G
H
I
J
9
?
Table: Array Representation of a Binary Tree
First column illustrates index of node, second column contain the item stored into the node & third & fourth columns mention the positions of left & right children
(-1 shows that there is no child to that specific node.)
The time required to delete a node x from a doubly linked list having n nodes is O (1)
Linked lists are among the most common and easiest data structures. They may be used to implement various other common abstract data types, including queues, stacks, symbolic expre
HOW LINKED LIST HEADER WORKS? HOW TO INSERT AND DELETE ELEMENTS IN LINKED LIST?
Determine the precondition of a binary search For instance, precondition of a binary search is that array searched is sorted however checking this precondition is so expensive
Merging 4 sorted files having 50, 10, 25 and 15 records will take time
Q. Describe what do you understand by the term array? How does an array vary from an ordinary variable? How are the arrays represented in the specific memory?
A B-tree of minimum degree t can maximum pointers in a node T pointers in a node.
Binary search tree. A binary search tree is a binary tree that is either empty or in which every node having a key that satisfies the following conditions: - All keys (if an
5. Implement a stack (write pseudo-code for STACK-EMPTY, PUSH, and POP) using a singly linked list L. The operations PUSH and POP should still take O(1) time.
algorithm format
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