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.Collections.Generic;
using System.Linq;

namespace AOJ
{
  class Program
  {
    public static void Main(string[] args)
    {
      foreach (var ss in ReadNumbers())
        Console.WriteLine(ss.Sum().ToString().Length);
    }

    static IEnumerable<IEnumerable<int>> ReadNumbers()
    {
      string line;
      while ((line = Console.ReadLine()) != null)
        yield return line.Split(' ').Select(s => int.Parse(s));
    }
  }
}