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 WhileSample
{
    static void Main()
    {

        while (true)
        {
            string input = Console.ReadLine();
            if (input == null) return;
            string[] input_array = input.Split(' ');

            int a = int.Parse(input_array[0]);
            int b = int.Parse(input_array[1]);

            int sum = a + b;

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

        }
    }
}