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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.)
Define about the inheritance hierarchy Languages Eiffel and D provide constructs in language for invariants and pre- and post conditions which are compiled into the code and ar
In this unit, we have learned how the stacks are implemented using arrays and using liked list. Also, the advantages and disadvantages of using these two schemes were discussed. Fo
illlustraate the construction of tree of a binary tree given its in order and post order transversal
Define min-heap A min-heap is a complete binary tree in which each element is less than or equal to its children. All the principal properties of heaps remain valid for min-hea
#questWrite an algorithm for multiplication of two sparse matrices using Linked Lists.ion..
Write an algorithm for multiplication of two sparse matrices using Linked Lists.
Explain th term input and output- Pseudocode Input and output indicated by the use of terms input number, print total, output total, print "result is" x and so on.
What are stored and derived attributes? Stored attributes: The attributes kept in a data base are called stored attributes. Derived attributes: The attributes that are
Since memory is becoming more & cheaper, the prominence of runtime complexity is enhancing. However, it is very much significant to analyses the amount of memory utilized by a prog
Q. Take an array A[20, 10] of your own. Suppose 4 words per memory cell and the base address of array A is 100. Find the address of A[11, 5] supposed row major storage.
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