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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.)
In a chained hash table, each table entry is a pointer to a collection of elements. It can be any collection that supports insert, remove, and find, but is commonly a linked list.
Speed cameras read the time a vehicle passes a point (A) on road and then reads time it passes a second point (B) on the same road (points A and B are 100 metres apart). Speed of t
Readjusting for tree modification calls for rotations in the binary search tree. Single rotations are possible in the left or right direction for moving a node to the root position
lower triangular matrix and upper triangular matrix
How sparse matrix stored in the memory of a computer?
Step 1: Declare array 'k' of size 'n' i.e. k(n) is an array which stores all the keys of a file containing 'n' records Step 2: i←0 Step 3: low←0, high←n-1 Step 4: while (l
Which sorting algorithms does not have a worst case running time of O (n 2 ) ? Merge sort
Q. By giving an example show how multidimensional array can be represented in one the dimensional array.
You have to sort a list L having of a sorted list followed by a few "random" elements. Which sorting methods would be especially suitable for this type of task? Insertion sort
explain quick sort algorithm
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