All problems
MediumBacktracking

Letter Combinations of a Phone Number

amazongooglemetamicrosoftuberoracleapple

Given a string containing digits from 2-9 inclusive, return all possible letter combinations that the number could represent. Return the answer in any order.

A mapping of digits to letters (just like on the telephone buttons) is given below. Note that 1 does not map to any letters.

2 → abc    3 → def    4 → ghi    5 → jkl
6 → mno    7 → pqrs   8 → tuv    9 → wxyz

Examples

Example 1
Input
digits = "23"
Output
["ad","ae","af","bd","be","bf","cd","ce","cf"]

Digit 2 maps to 'abc' and digit 3 maps to 'def', producing 9 combinations.

Example 2
Input
digits = ""
Output
[]

No digits means no possible letter combinations.

Example 3
Input
digits = "2"
Output
["a","b","c"]

A single digit 2 maps to three letters.

Constraints

  • 0 <= digits.length <= 4
  • digits[i] is a digit in the range ['2', '9']

Optimal complexity

Time

O(4^n)

Space

O(n)

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