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.Collections.Generic;
using System.Linq;

namespace JagArrayTest
{
    class Program
    {
        static void Main(string[] args)
        {
            while(true)
            {
                var readline = Console.ReadLine();

                if(readline == null)
                {
                    break;
                }

                var d = readline.Split(' ').ToList().ConvertAll(double.Parse).ToArray();
                Console.WriteLine("{0}", (d[0] + d[1]).ToString());
            }

        }
    }
}