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;
using System.Collections.Generic;

class Program
{
    static void Main(string[] args)
    {

        while (true)
        {
            string s = Console.ReadLine();
            if (s == null) break;

            string[] sp = s.Split();

            int sum = int.Parse(sp[0]) + int.Parse(sp[1]);

            Console.WriteLine( sum.ToString().Length );


        }

    }
}