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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 the term - Array A fixed length, ordered collection of values of same type stored in contiguous memory locations; collection may be ordered in several dimensions.
Build a class ?Node?. It should have a ?value? that it stores and also links to its parent and children (if they exist). Build getters and setters for it (e.g. parent node, child n
complete information about collision resolution techniques
Determine in brief the Painter Algorithm a) The farthest polygon, namely the rectangle PQRS, is stored first. (b) The next farthest, the quadrilateral ABCD, is superpo
1) Why space complexity is comparatively more critical than time complexity? 2) Determine the space complexity of Euclid Algorithm?
for i=1 to n if a[i}>7 for j=2 to n a[j]=a{j}+j for n=2 to n a[k]=a[j]+i else if a[1]>4 && a[1] for 2 to a[1] a[j]= a{j]+5 else for 2to n a[j]=a[j]+i ..
implementation of fast fourier transforms for non power of 2
Example of worse case of time
1) Which graph traversal uses a queue to hold vertices which are to be processed next ? 2) Which of the graph traversal is recursive by nature? 3) For a dense graph, Prim's a
A mathematical-model with a collection of operations described on that model is known as??? Abstract Data Type
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