# Letter Combinations of a Phone Number

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.

{% tabs %}
{% tab title="Scala" %}

```scala
val counts = Vector(3, 3, 3, 3, 3, 4, 3, 4)

// generate char mapping for given int char
def decode(c: Char): Seq[Char] = {
  val index = c.toInt - '2'.toInt
  for (i <- 0 until counts(index)) yield (counts.take(index).sum + 'a'.toInt + i).toChar
}

// complete keypad mappings
val mappings: Map[Char, Seq[Char]] = {
  (for (i <- '2' to '9') yield (i -> decode(i))).toMap
} withDefaultValue Seq(' ')

/**
  * generate each combination starting from last index.
  *
  * @param digits
  * @return
  */
def letterCombinations(digits: String): List[String] = {
  var ret: List[String] = Nil
  if (digits.isEmpty) ret
  else {
    val letters: Array[Char] = Array.fill(digits.length) {
      ' '
    }
    def generate(index: Int): Unit = {
      for (c <- mappings(digits(index))) {
        letters(index) = c
        if (index == 0) {
          ret = letters.mkString("") :: ret
        } else {
          generate(index - 1)
        }
      }
    }
    generate(digits.length - 1)
    ret
  }
}

/**
  * generate each combination but fixed length
  *
  * @param digits
  * @return
  */
def letterCombinations(digits: Array[Char]): Seq[String] = {
  if (digits.length != 7) throw new Error("must be 7 digits")
  else {
    for {
      a <- mappings(digits(0))
      b <- mappings(digits(1))
      c <- mappings(digits(2))
      d <- mappings(digits(3))
      e <- mappings(digits(4))
      f <- mappings(digits(5))
      g <- mappings(digits(6))
    } yield (s"$a$b$c$d$e$f$g")
  }
}

letterCombinations("2463832")
letterCombinations("2463832".toCharArray)
```

{% endtab %}

{% tab title="Second Tab" %}

{% endtab %}
{% endtabs %}


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