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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.)
Program segment for deletion of any element from the queue delete() { int delvalue = 0; if (front == NULL) printf("Queue Empty"); { delvalue = front->value;
Implement multiple stacks in a single dimensional array. Write algorithms for various stack operations for them.
Explain an efficient method of storing a sparse matrix in memory. Write a module to find the transpose of the sparse matrix stored in this way. A matrix which contains number o
Q. Describe the term array. How do we represent two-dimensional arrays in memory? Explain how we calculate the address of an element in a two dimensional array.
State in brief about assertion Assertion: A statement which should be true at a designated point in a program.
#include #include int sumFact(int numb); int calculateFactorial(int digit); main() { int numb, sumfact; do{ printf ("Enter a number 1 to 9999\n"); scanf("%
stickly binary tree
As we talked in class, a program with two integer variables is universal. Now, we consider a special form of four variableprograms. Let G = (V; E) be a directed graph, where V is a
Algorithm for deletion of any element from the circular queue: Step-1: If queue is empty then say "queue is empty" & quit; else continue Step-2: Delete the "front" element
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