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 ConsoleApplication34
{
    class Program
    {
        static void Main(string[] args)
        {
            var ab = Console.ReadLine().Split().Select(int.Parse).ToArray();
            int a = ab[0];
            int b = ab[1];
            {
                if (a + b < 100)
                {
                    Console.WriteLine(2);
                }
                {
                    if (a + b > 99 && a + b > 1000)
                    {
                        Console.WriteLine(3);
                    }
                    {
                        if (a + b > 999 && a + b < 10000)
                        {
                            Console.WriteLine(4);
                        }
                        {
                            if (a + b > 9999 && a + b < 100000)
                            {
                                Console.WriteLine(5);
                            }
                            {
                                if (a + b > 99999 && a + b < 1000000)
                                {
                                    Console.WriteLine(6);
                                }
                            }
                        }
                    }
                }
            }
        }
    }
}