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;
using System.Collections.Generic;
using System.Text;
using System.IO;
class ListOfTopThreeHills
{
	static void Main(string[] args)
	{
		do
		{
			string input = Console.ReadLine();
			if (string.IsNullOrEmpty(input))
			{
				break;
			}
			string[] inputArr = input.Split(' ');
			int a = int.Parse(inputArr[0]);
			int b = int.Parse(inputArr[1]);
			int sum = a + b;
			Console.WriteLine(sum.ToString().Length);
		} while (true);
	}
}