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: Wrong Answer)

using System;

namespace _0002
{
    class Program
    {
        static void Main(string[] args)
        {
            string[] delimiter = { " "};

            while( true )
            {
                string[] parts;
                int answer;
                var input = Console.ReadLine();

                if (input == null) { break; }

                parts = input.Split(delimiter, StringSplitOptions.None);
                answer = int.Parse(parts[0]) + int.Parse(parts[1]);
                Console.Write(answer.ToString().Length);
            }
        }
    }
}