# 17 Letter Combinations of a Phone Number – Medium

### Problem:

Given a digit string, return all possible letter combinations that the number could represent.

A mapping of digit to letters (just like on the telephone buttons) is given below.

Input:Digit string "23" Output: ["ad", "ae", "af", "bd", "be", "bf", "cd", "ce", "cf"]. Note: Although the above answer is in lexicographical order, your answer could be in any order you want.

### Thoughts:

Use modified DFS to solve the problem, keep a current built string and add it to the result until all numbers have been evaluated.

### Solutions:

``````public class Solution {
public List<String> letterCombinations(String digits) {
HashMap<Character, String> keyboard = new HashMap<Character, String>();
initKeyboard(keyboard);
if (digits.length() == 0) {
return result;
}
compile(digits, "", 0, keyboard, result);
return result;
}
private void compile(String digits, String prefix, int start, HashMap<Character, String> keyboard, List<String> result) {
if (start == digits.length()) {
return;
}
String cand = keyboard.get(digits.charAt(start));
for (int j = 0; j < cand.length(); j++) {
compile(digits, prefix + cand.charAt(j), start + 1, keyboard, result);
}
}
private void initKeyboard(HashMap<Character, String> keyboard) {
keyboard.put('2', "abc");
keyboard.put('3', "def");
keyboard.put('4', "ghi");
keyboard.put('5', "jkl");
keyboard.put('6', "mno");
keyboard.put('7', "pqrs");
keyboard.put('8', "tuv");
keyboard.put('9', "wxyz");
}
}
``````