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 scala.io.StdIn._
import scala.annotation.tailrec

object Main {
    def main(args: Array[String]): Unit = { 
        digit(readLine.split(" ").map(_.toInt).sum)
    }
    
    @tailrec
    def digit(n: Int): Unit = {
       println(n.toString.length)
       val next: String = readLine
       if(next == null) Unit else digit(next.split(" ").map(_.toInt).sum)
    }
}