B-trees for databases in Data Structures Theory - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the sentence to describe a B-tree property.

Data Structures Theory

A B-tree is a self-balancing tree data structure that maintains sorted data and allows searches, sequential access, insertions, and deletions in [1] time.

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Alogarithmic

Blinear

Cconstant

Dexponential

Attempts:

3 left

💡 Hint

Common Mistakes

Confusing logarithmic time with linear or constant time.

Thinking B-trees are unbalanced.

B-trees keep their height low, so operations like search, insert, and delete take logarithmic time relative to the number of elements.

2fill in blank

medium

Complete the sentence to explain the node structure of a B-tree.

Data Structures Theory

Each node in a B-tree contains multiple keys and [1] children pointers.

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Aone

Bzero

Cmultiple

Dtwo

Attempts:

3 left

💡 Hint

Common Mistakes

Assuming B-trees are binary trees with only two children per node.

Confusing the number of keys with the number of children.

B-tree nodes can have multiple children, which allows the tree to be wide and shallow, improving efficiency.

3fill in blank

hard

Fix the error in the statement about B-tree leaf nodes.

Data Structures Theory

In a B-tree, all leaf nodes are at [1] level.

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Adifferent

Bthe same

Crandom

Dhigher

Attempts:

3 left

💡 Hint

Common Mistakes

Thinking leaf nodes can be at different levels.

Confusing B-trees with unbalanced trees.

All leaf nodes in a B-tree are at the same level, which keeps the tree balanced.

4fill in blank

hard

Fill both blanks to describe B-tree node key constraints.

Data Structures Theory

Each node (except root) must have at least [1] keys and at most [2] keys.

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At - 1

B2t

C2t - 1

Dt

Attempts:

3 left

💡 Hint

Common Mistakes

Mixing up minimum and maximum key counts.

Using t instead of t-1 for minimum keys.

In a B-tree of minimum degree t, each node except the root must have at least t-1 keys and at most 2t-1 keys.

5fill in blank

hard

Fill all three blanks to complete the B-tree insertion rule.

Data Structures Theory

If a node is full (has [1] keys), it must be [2] before inserting a new key, which splits it into two nodes with [3] keys each.

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A2t - 1

Bsplit

Ct - 1

Dmerged

Attempts:

3 left

💡 Hint

Common Mistakes

Confusing splitting with merging.

Incorrectly identifying the number of keys in full nodes.

When a node has 2t - 1 keys (full), it is split before insertion, resulting in two nodes each with t - 1 keys.