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;
using System.Linq;
using System.Collections.Generic;
namespace _0002
{
    class Program
    {
        static void Main(string[] args)
        {
            List<int> b = new List<int>();
            string input;
            for (int i = 0; i < 10; i++)
            {
                input = Console.ReadLine();
                if (input == "")
                {
                    break;
                }
                int[] x = input.Split().Select(int.Parse).ToArray();
                b.Add((x[0] + x[1]).ToString().Length);
            }
            foreach (var i in b)
            {
                Console.WriteLine(i);
            }
        }
    }
}