208. Implement Trie (Prefix Tree)

Implement a trie with insert, search, and startsWith methods.

Example:

Trie trie = new Trie();

trie.insert("apple");
trie.search("apple");   // returns true
trie.search("app");     // returns false
trie.startsWith("app"); // returns true
trie.insert("app");   
trie.search("app");     // returns true

Note:

• You may assume that all inputs are consist of lowercase letters a-z.
• All inputs are guaranteed to be non-empty strings.

class Trie {
    Set<String> list;
    /** Initialize your data structure here. */
    public Trie() {
        list = new HashSet();
    }
    
    /** Inserts a word into the trie. */
    public void insert(String word) {
        list.add(word);
    }
    
    /** Returns if the word is in the trie. */
    public boolean search(String word) {
        return list.contains(word);
    }
    
    /** Returns if there is any word in the trie that starts with the given prefix. */
    public boolean startsWith(String prefix) {
        for(String s : list){
            if(s.startsWith(prefix)) return true;
        }
        return false;
    }
}

/**
 * Your Trie object will be instantiated and called as such:
 * Trie obj = new Trie();
 * obj.insert(word);
 * boolean param_2 = obj.search(word);
 * boolean param_3 = obj.startsWith(prefix);
 */