/*
A Trie is a special data structure for efficiently
storing keys in and retrieving them from a dataset
of strings.
Time complexity: see below
Space complexity: see below
*/
import java.util.*;
class Trie {
TrieNode root;
public Trie() {
root = new TrieNode();
}
/**
* Inserts a word into the trie.
* Let n be the length of the word.
* Time complexity: O(n)
* Space complexity: O(n)
*/
public void insert(String word) {
TrieNode temp = root;
for (char letter : word.toCharArray()) {
if (!temp.children.containsKey(letter)) {
temp.children.put(letter, new TrieNode());
}
temp = temp.children.get(letter);
}
temp.endOfWord = true;
}
/**
* Checks if the word is in the trie.
* Let n be the length of the word.
* Time complexity: O(n)
* Space complexity: O(1)
*/
public boolean search(String word) {
TrieNode temp = root;
for (char letter : word.toCharArray()) {
if (temp.children.containsKey(letter)) {
temp = temp.children.get(letter);
} else {
return false;
}
}
return temp.endOfWord;
}
/**
* Checks if there is any word in the trie that starts with the
* given prefix.
* Let n be the length of the word.
* Time complexity: O(n)
* Space complexity: O(1)
*/
public boolean startsWith(String prefix) {
TrieNode temp = root;
for (char letter : prefix.toCharArray()) {
if (temp.children.containsKey(letter)) {
temp = temp.children.get(letter);
} else {
return false;
}
}
return true;
}
public static void main(String[] args) {
String word = "Trie";
Trie trie = new Trie();
trie.insert(word);
boolean wordFound = trie.search(word);
System.out.println(wordFound); // True
boolean prefixFound = trie.startsWith("Tr");
System.out.println(prefixFound); // True
}
}
class TrieNode {
boolean endOfWord;
Map<Character, TrieNode> children;
public TrieNode() {
endOfWord = false;
children = new HashMap<>();
}
}