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: Wrong Answer)

using System;

namespace hellounihara
{
	class MainClass
	{
		public static void Main (string[] args)
		{
			for (int i = 0; i < 200; i++) {
			int a = 0;
			string arr02 =Console.ReadLine();
				if (arr02 == null) {
					break;
				}
		    string[] starr02 = arr02.Split();
			foreach (var item in starr02) {
				a +=int.Parse(item);
			}
			Console.WriteLine(a);

			}
		}
	}
}