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;
class latte
{
    static void Main()
    {
        while (true)
        {
            string s = Console.ReadLine();
            if (s == null) break;

            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);
        }
    }
}