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;

class Program
{
    static void Main(string[] args)
    {
        string str = "";
        while ((str = Console.ReadLine()) != null)
        {
            string[] val = str.Split(' ');
            int sum = int.Parse(val[0]) + int.Parse(val[1]);
            Console.WriteLine(sum);
        }
    }
}