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;

namespace Application
{
	class MainClass
	{
		public static void Main (string[] args)
		{
			while(true) {
			   	var a=Console.ReadLine();
				if(a==null) break;
				var aa=a.Split();
				int sum=int.Parse (aa[0])+int.Parse(aa[1]);
				int ans=sum.ToString ().Length;
				Console.WriteLine ("{0}",ans);
			}
		}
	}
}