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;
using System.Text;

class Program
{
    static void Main()
    {
        string s;
        StringBuilder sb = new StringBuilder();
        while ((s = Console.ReadLine()) != null)
        {
            int ans = s.Split().Select(int.Parse).Sum().ToString().Count();
            sb.AppendLine(ans.ToString());
        }
        Console.Write(sb);
    }
}