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.Collections.Generic;
using System.Linq;
using System.Text;

namespace mondai0002
{
	class Program
	{
		static void Main(string[] args)
		{
			while( true ) {
				var	s	= Console.ReadLine();
				if( s == null ) {
					break;
				}
				var	ss	= s.Split();
				var	sum	= int.Parse( ss[ 0 ] ) + int.Parse( ss[ 1 ] );
				Console.WriteLine( sum.ToString().Length );
			}
		}
	}
}