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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.)
The Euclidean algorithm is an algorithm to decide the greatest common divisor of two positive integers. The greatest common divisor of N and M, in short GCD(M,N), is the largest in
Q. What do you understand by the term by hash clash? Explain in detail any one method to resolve the hash collisions.
design algorithm and flow chart that computes the absolute difference of two values x and y
Enumerate about the Data structure An arrangement of data in memory locations to signify values of the carrier set of an abstract data type. Realizing computational mechanis
Ask queConsider the following functional dependencies: Applicant_ID -> Applicant_Name Applicant_ID -> Applicant_Address Position_ID -> Positoin_Title Position_ID -> Date_Position_O
null(nil) = true // nil refer for empty tree null(fork(e, T, T'))= false // e : element , T and T are two sub tree leaf(fork(e, nil, nil)) = true leaf(
bst for 40,60,25,50,30,70,35,10,55,65,12
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
Explain binary search with an example
Write an algorithm, using a flowchart, which inputs the heights of all 500 students and outputs the height of the tallest person and the shortest p erson in the school.
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