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 C# (judge verdict: Accepted)

using System;

public class hello
{
    public static void Main()
    {
        string line;
        for (; (line = Console.ReadLine()) != null;)
        {
            string[] s = line.Trim().Split(' ');
            var a = int.Parse(s[0]);
            var b = int.Parse(s[1]);
            Console.WriteLine((a + b).ToString().Length);
        }
    }
}