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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.)
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Define the term array. An array is a way to reference a series of memory locations using the same name. Each memory location is represented by an array element. An array eleme
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W h at are the different ways by which we can represent graph? Represent the graph drawn below using those ways. T he d iff e r e nt w a y s by
It does not have any cycles (circuits, or closed paths), which would imply the existence of more than one path among two nodes. It is the most general kind of tree, and might be co
Consistent Heuristic Function - Graph Search Recall the notions of consistency and admissibility for an A* search heuristic. a. Consider a graph with four nodes S, A, B, C,
Best - Fit Method: - This method obtains the smallest free block whose size is greater than or equal to get such a block by traversing the whole free list follows.
Aa) Come up with an ERD from the following scenario, clearly stating all entities, attributes, relationships before final sketch of the ERD: [50 m
write an algorithm for multiplication of two sparse matrices using Linked Lists
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
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