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: Time Limit Exceeded)

using System;
class main
{
    static void Main(string[] args)
    {
        while (true)
        {
            string s = Console.ReadLine();
            if (s != string.Empty)
            {
                if (s != null)
                {
                    string[] t = s.Split(' ');
                    int a = int.Parse(t[0]);
                    int b = int.Parse(t[1]);
                    int c = a + b;

                    Console.WriteLine(c.ToString().Length);
                }
            }
        }
        //Console.ReadKey();
    }
}