Implement Trie (Prefix Tree)

Medium Subject: Trie (Prefix Tree)
Time Complexity
O(N) per operation
Space Complexity
O(N * K)

Problem Description

A trie (pronounced 'try') or prefix tree is a tree data structure used to efficiently store and retrieve keys in a dataset of strings. Implement the Trie class.

Optimal Solution

Python
class TrieNode:
    def __init__(self):
        self.children = {}
        self.is_end = False

class Trie:
    def __init__(self):
        self.root = TrieNode()

    def insert(self, word):
        node = self.root
        for ch in word:
            if ch not in node.children:
                node.children[ch] = TrieNode()
            node = node.children[ch]
        node.is_end = True

    def search(self, word):
        node = self.root
        for ch in word:
            if ch not in node.children:
                return False
            node = node.children[ch]
        return node.is_end

    def startsWith(self, prefix):
        node = self.root
        for ch in prefix:
            if ch not in node.children:
                return False
            node = node.children[ch]
        return True