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.Source.stdin

object Main {
  def main(args: Array[String]) = {
    stdin.getLines().map(_.split(" ").map(_.toInt).reduce(_+_).toString.length).foreach(println)
  }
}