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.Text;
using System.Collections;
using System.Collections.Generic;
using System.Linq;
using System.Text.RegularExpressions;



    class Program
    {
        static void Main(string[] args)
        {
            while (true)
            {
                string a;
                a = Console.ReadLine();
                if (a == null) break;
                string[] b = a.Split();
                int sum, cou = 0;
                sum = int.Parse(b[0]) + int.Parse(b[1]);
                for (; ; )
                {
                    if (sum >= 10)
                    {
                        sum = sum / 10;
                        cou++;
                    }
                    else
                    {
                        cou++;
                        break;
                    }
                }
                Console.WriteLine(cou);
            }
        }
    }