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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 best algorithm to solve a given problem is one that requires less space in memory and takes less time to complete its execution. But in practice it is not always possible to
Draw trace table and determine the output from the below flowchart using following data (NOTE: input of the word "end" stops program and outputs results of survey): Vehicle = c
Draw trace table and determine output from the following flowchart using following data: Number = 45, -2, 20.5
Implementation of Stack :- Stacks can be executed in the 2 ways: a) Arrays b) Linked List
loops
The smallest element of an array's index is called its Lower bound.
what is algorithim?
Open addressing The easiest way to resolve a collision is to start with the hash address and do a sequential search by the table for an empty location.
The Euclidean algorithm is an algorithm to decide the greatest common divisor of two positive integers. The greatest common divisor of N and M, in short GCD(M,N), is the largest in
Q. Create a heap with the given list of keys: 8, 20, 9, 4, 15, 10, 7, 22, 3, 12 Ans: Creation
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