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.Linq;

namespace aizu
{
    class OnlineJudge
    {
        static void Main()
        {
            string data;
            while((data = Console.ReadLine()) != null) {
                Console.WriteLine(data.Split().Select(p => int.Parse(p)).Sum().ToString().Length);
            }
        }
    }
}