3. 2-3 Tree

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Algorithms and Data Structures | Test 3 Review | CSCI-3110-002 MTSU
Mena Sargios
Quiz by Mena Sargios, updated more than 1 year ago
Mena Sargios
Created by Mena Sargios over 7 years ago
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Resource summary

Question 1

Question
What are the internal node stipulations in a 2-3 tree?
Answer
  • The internal node must have one data item and two children or two data items and three children.
  • none of the above

Question 2

Question
An internal node in a 2-3 tree is said to be a _ node if it has two data elements and ___ children.
Answer
  • A) 2, 2
  • B) 3, 2
  • C) 3, 3
  • D) 2, 3

Question 3

Question
What makes a 2-3 tree seperate from a binary tree?
Answer
  • Each node can have up to two elements and three children.
  • none of the above

Question 4

Question
all leaves in a 2-3 tree are at the same level?
Answer
  • True
  • False

Question 5

Question
What is the lookup time for 2-3 Tree?
Answer
  • A.nlogn
  • B.log M(where m is the numbr of keys)
  • C.n
  • D.None of the above

Question 6

Question
What time for searching does a 2-3 tree gurantee?
Answer
  • O(log n)
  • O(n^2)

Question 7

Question
The worst possible case for the binary tree is that all of the data is entered in order.
Answer
  • True
  • False

Question 8

Question
In a 2-3 tree a node that has two values must be?
Answer
  • A. only a leaf node
  • B. only a node with 3 children
  • C. either a leaf node or a node with 3 children

Question 9

Question
Which of the following is false about 2-3 trees?
Answer
  • a. Every internal node is a 2-node or a 3-node.
  • b. Leaves are not at the same level.
  • c. All data is kept in sorted order.
  • d. None of the above

Question 10

Question
What is the maximum number of children a 2-3 tree can have?
Answer
  • A) 3
  • B) 2
  • C) 6
  • D) There is no limit

Question 11

Question
In 2-3 tree, every node with children has ____ and ____.
Answer
  • a. 2 children and 1 data element; 3 children and 2 data elements
  • b. Only 2 children and 1 data element
  • c. Only 3 data elements and 2 children
  • d. 3 children and 1 or 2 data elements

Question 12

Question
A 2-3 tree can have:
Answer
  • A. Two children and one data element
  • B. Three children and two data elements
  • C. One child and one data element
  • D. A and B

Question 13

Question
What is a 2-3 tree?
Answer
  • A) A tree with only 2/3 available
  • B) A tree where every child has either two children or three children
  • C) A tree with height only 2 or 3
  • D) None of the above

Question 14

Question
When inserting into a non-root node which has 2 keys already in a 2-3 tree, which of the following will happen first?
Answer
  • A. nothing; 2-3 trees can hold 3 keys per node
  • B. the smallest value gets pushed up to the parent
  • C. the middle value gets pushed up to the parent
  • D. the largest value gets pushed up to the parent

Question 15

Question
A 2-3 Tree is a specific form of a B tree. A 2-3 tree is a:
Answer
  • A. value tree
  • B. search tree
  • C. node tree
  • D. left tree

Question 16

Question
When talking about a 2-3 tree the right, center, left subtree contains the same or close to same amount of data. If this is true what is this tree considered to be?
Answer
  • A) close
  • B) balanced
  • C) un-balanced
  • D) The first statement is no true

Question 17

Question
Which is not correct the following properties of 2-3 tree?
Answer
  • a. Every internal node is a 2-node or a 3-node.
  • b. All leaves are at the same level.
  • c. All data is kept in sorted order.
  • d. All leaves are at the different level.

Question 18

Question
which one is not right about the 2_3 tree?
Answer
  • A. A 2_3 tree is a binary search tree.
  • B. In the average case, the time complexity of searching one member of the 2_3 tree is O(logn).
  • C. In the average case, the time complexity of inserting one member into the 2_3 tree is O(logn).
  • D. a B-tree of order 3 is a 2-3 tree.

Question 19

Question
What is the worst case time complexity of delete in a 2-3 tree? (In big O notation)
Answer
  • A) O(log(2N))
  • B) O(N)
  • C) O(log(N))
  • D) O(e^(N+1))
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