1.
Introduction
2.
Properties of Trie
3.
4.
Complexity Analysis
4.1.
Time Complexity
4.2.
Space Complexity
5.
5.1.
What are the terms used for Trie data structure?
5.2.
Mention some uses for Trie.
5.3.
What is the advantage of Trie that you consider most important?
5.4.
What is the disadvantage of Trie?
5.5.
What are some applications of Trie?
6.
Conclusion
Last Updated: Mar 27, 2024

# Advantages of Trie Data Structure

Sneha Mallik
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Data structures & algorithms (Beginner to Intermediate)
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99+ problems

## Introduction

Trie is a tree-based Data Structure that has been given name from â€˜reTRIEvalâ€™, which means fetching something.

It is mostly used to effectively search words from a collection of strings or a dictionary. Trie is made up of nodes, each of which represents one letter. Trie uses these nodes to store the whole word.

In this blog, we will cover the advantages of Trie data structure. Let us first start with the properties of the Trie data structure.

Recommended Topic -  hash function in data structure

## Properties of Trie

Let us look into some of the properties of the Trie data structure:

• A Trie's root node will always remain null.

• The children nodes are arranged alphabetically.

• There is a limit of 26 children (ranging from alphabet â€˜Aâ€™ to â€˜Zâ€™) per node.

• One letter from 26 alphabets can be stored in each node (apart from the root node).

Example:

Here, we can see that we are adding â€˜CODEâ€™, â€˜COPâ€™, â€˜NINEâ€™ and â€˜NINJAâ€™ alphabetically to the trie data structure.

Also see, Introduction to Database

Also read - Data Structure MCQ

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## Advantages of Trie Data Structure

Trie is very effective when it comes to managing a dictionary and searching for strings.

Let us look at the advantages of Trie Data Structure -

• Trie allows us to input and locate strings in O(L) complexity. Here, 'L' refers to a word's length. The depth of the trie impacts the look-ups of the keys. If a tree is balanced, the look-up in the case of BST with 'N' keys will take O(log N) time.

• Trie allows for ordered iteration. If we iterate over a hash table, it will produce a pseudorandom order. It is determined by the hash function, which is typically useless. The order of hash collisions is also implementation specified.

• It helps in finding the match of the longest prefix. It assists in the discovery of the key with the longest possible prefix of characters. All the characters are unique.

• For short keys like integers and pointers, attempts are often quicker than hash tables since they skip the hash function.

• Compared to BST, the Trie data structure takes up less space. Since the keys are not explicitly saved, each key requires just an amortized fixed amount of space to be stored.

• Deletion is O(L) time complexity where â€˜Lâ€™ is the word length to be deleted.

## Complexity Analysis

We will now look into the analysis of Trie data structure complexities.

### Time Complexity

The time complexity for Trie data structure: O(L)

Here, â€˜Lâ€™ stands for word length.

Explanation: We iterate the whole word and continue inserting the node for each node if it is not there. All the operations, including insert, delete, and search methods, take O(L) time. The word is added, erased, or searched as soon as we iterate the complete word.

### Space Complexity

The space complexity for the Trie data structure: O(L)

Here, â€˜Lâ€™ stands for word length.

Explanation: We are entering each word in the Trie, and each letter of the word takes up some memory.

Implementing the Trie requires:

O(Alphabet Size * Number Of Words * Word Length)

= (26 * Number Of Words * Word Length)

### What are the terms used for Trie data structure?

Trie is also referred to as the â€˜ReTrieval Treeâ€™, â€˜Prefix Treeâ€™, and â€˜Digital Treeâ€™.

### Mention some uses for Trie.

Trie is used to store the strings or key values, which can be represented in the form of a string. It contains nodes and edges. At max, 26 children connect each parent node to its children.

### What is the advantage of Trie that you consider most important?

We can insert and search any string in the trie data structure in O(L) time where L is word length.

### What is the disadvantage of Trie?

The main disadvantage of Trie is that it takes a lot of memory to store all the strings. For each node, we have too many node pointers(equal to the number of characters of the alphabet).

### What are some applications of Trie?

Longest common prefix, pattern searching, autocomplete, and implementation of the dictionary are some of the common applications of a Trie Data Structure.

## Conclusion

In this article, we covered an introduction to Trie. We then went along the advantages of Trie data structure. We have also discussed the time and space complexities. Here, a Trie is quicker, but it demands a lot of memory to store the strings.

If you would like to learn more similar to this topic, check out our related articles on-

You can also consider our Online Coding Courses such as the DSA in PythonC++ DSA CourseDSA in Java Course to give your career an edge over others.

Happy Coding, Ninja!ðŸ¥·âœ¨

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Data structures & algorithms (Beginner to Intermediate)
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