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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.)
merging 4 sorted files containing 50 10 25 and 15 records will take time
Q. Explain quick sort? Sort the given array using quick sort method. 24 56 47 35 10 90 82 31
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Count Scorecards(30 points) In a tournament, N players play against each other exactly once. Each game results in either of the player winning. There are no ties. You have given a
We have discussed already about three tree traversal methods in the earlier section on general tree. The similar three different ways to do the traversal -inorder , preorder, and p
A Sort which relatively passes by a list to exchange the first element with any element less than it and then repeats with a new first element is called as Quick sort.
create aset of ten numbers.then you must divide it into two sets numbers which are set of odd numbers and set of even numbers.
how to define the size of array
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State in brief about assertion Assertion: A statement which should be true at a designated point in a program.
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