CPKit
v1.6.1

Trie (Prefix Tree)

Set StructuresMedium

Insert, delete, and trace string prefixes dynamically in char trees.

Alt+Shift+R

Configuration Panel

Trie Visual Character Forest

Double-click empty canvas to create root, select node to add child or delete.
Trie Word Dictionary:
"cat"
"car"
"dog"
"dot"

Time Complexity

O(L) where L is length of word

Auxiliary Space Complexity

O(N * Σ) alphabet size Σ
Conceptual Overview

A Trie (Prefix Tree) is an ordered tree data structure used to store a dynamic set of keys or strings, where keys are usually strings. Unlike a BST, no node in the tree stores the key associated with that node; instead, its position in the tree defines the key/prefix it is associated with.

Algorithm Mechanism

Starts from an empty root. For each character in a word, inserts children transitions if not present. Ends of words are marked with a terminal flag.

Source: CP-Algorithms reference guide