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;

class Program
{
    static void Main()
    {
        string input;
        while ((input = Console.ReadLine()) != null)
        {
            var t = input.Split().Select(int.Parse).Aggregate((a, b) => a + b).ToString();
            Console.WriteLine(t.Length);
        }
    }
}