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)

object Main extends App{
  var in = io.StdIn.readLine()
  while(in != null){
    val nums = in.split(' ').map {_.toInt}
    println((nums(0) + nums(1)).toString.length)
    in = io.StdIn.readLine()
  }
}