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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.)
Explain the halting problem Given a computer program and an input to it, verify whether the program will halt on that input or continue working indefinitely on it.
to find binary value of an integer
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Write an algorithm by using pseudocode which: Inputs top speeds of 5000 cars Outputs fastest speed and the slowest speed Outputs average speed of all the 5000 cars
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Hear is given a set of input representing the nodes of a binary tree, write a non recursive algorithm that must be able to give the output in three traversal orders. Write down an
ST AC K is explained as follows : A stack is one of the most usually used data structure. A stack is also called a Last-In-First-Out (LIFO) system, is a linear list in
Properties of colour Colour descriptions and specifications generally include three properties: hue; saturation and brightness. Hue associates a colour with some position in th
If a Dequeue is implemented via arrays, then this will suffer with the similar problems which a linear queue had suffered. Program 8 gives the array implementation of Dequeue.
algorithm for insertion in a queue using pointers
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