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.readLine;
object Main {
    def main(args: Array[String]): Unit = {
        def go(line: String): Unit = {
            if (line != null) {
                val Array(a, b) = line.split(" ").map(_.toInt);
                val sum = a + b;
                println(sum.toString.length);
                go(readLine);
            }
        }
        go(readLine);
    }
}