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;

class AOJ {
    static void Main(string[] args)
    {
        string s;

        while((s = Console.ReadLine()) != null) {
            string[] n = s.Split(' ');

            int sum = int.Parse(n[0]) + int.Parse(n[1]);

            Console.WriteLine(sum.ToString().Length);
        }
    }
}