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PDS - 04225 Balanced Trees - Chapter 7

Authored by Rafael Orta

Computers

University

Used 373+ times

PDS - 04225 Balanced Trees - Chapter 7
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Indicate whether the tree is an AVL tree

Yes

No

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Indicate whether the tree is an AVL tree

Yes

No

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Indicate whether the tree is an AVL tree

Yes

No

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the minimum possible height of an AVL tree with 7 nodes?

2

3

5

7

Answer explanation

Media Image

The minimum depth is the number of nodes along the shortest path from the root node down to the nearest leaf node. The minimum would be a perfect tree

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the maximum possible height of an AVL tree with 7 nodes?

2

3

5

7

Answer explanation

If there are n nodes in AVL Tree, its maximum height can not exceed 1.44log2n. Approximately 1.5 times the minimum, since the minimum is 2 , then 2 * 1.5 = 3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

An AVL tree maintains the minimum possible height.

True

False

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which red-black tree requirement does this BST not satisfy?

Root node must be black

None

A red node's children cannot be red.

All paths from a node to a null leaf nodes must have the same number of black nodes.

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