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;
using System.Text;


namespace a
{
    class Program
    {
        static void Main()
        {
            string line;
            while ((line = Console.ReadLine()) != null)
            {

                var ab = line.Split().Select(int.Parse).ToArray();
                int a = ab[0];
                int b = ab[1];
                if ((a + b) / 100000 >= 1)
                    Console.WriteLine("6");
                else if ((a + b) / 10000 >= 1)
                    Console.WriteLine("5");
                else if ((a + b) / 1000 >= 1)
                    Console.WriteLine("4");
                else if ((a + b) / 100 >= 1)
                    Console.WriteLine("3");
                else if ((a + b) / 10 >= 1)
                    Console.WriteLine("2");
                else if ((a + b) / 1 >= 1)
                    Console.WriteLine("1");


            }
        }
    }
}