Problem:
Digit Number

Write a program which computes the digit number of sum of two integers a and b.

Input

There are several test cases. Each test case consists of two non-negative integers a and b which are separeted by a space in a line. The input terminates with EOF.

Constraints

0 ≤ a, b ≤ 1,000,000

The number of datasets ≤ 200

Output

Print the number of digits of a + b for each data set.

Sample Input

5 7
1 99
1000 999

Output for the Sample Input

2
3
4

Solution in Scala (judge verdict: Accepted)

import java.util.Scanner

object Main {
  def main(args : Array[String]) = {
    val scanner = new Scanner(System.in)
    var inputs = List.empty[Array[Int]]
    while(scanner.hasNextLine) {
      inputs = scanner.nextLine().split(" ").map(_.toInt) :: inputs
    }

    inputs
      .reverse
      .map(it => (it(0) + it(1)).toString.length)
      .foreach(println(_))

  }
}