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.Linq;
 
public class Program
{
    private static void Main(string[] args)
    {
        string line;
        while (!string.IsNullOrEmpty(line = Console.ReadLine()))
        {
            Console.WriteLine(line.Split().Select(int.Parse).Sum().ToString().Length);
        }
    }
}