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;
using System.Collections.Generic;

class Program
{
	static void Main(string[] args)
	{

        //int[] a = new int[10];
        List<int> a = new List<int>();
        List<int> b = new List<int>();

        //long[] a = new long[n];


        //string[] s = Console.ReadLine().Split(' ');

        // int a = int.Parse(Console.ReadLine());

        for (int i = 0; i < 200;i++)
        {
			
                string input = Console.ReadLine();
            if (string.IsNullOrEmpty(input)) break;


                int[] nums = Array.ConvertAll(input.Split(' '), int.Parse);
				a.Add(nums[0]);
				b.Add(nums[1]);
			

        }

        for (int i = 0; i < a.Count;i++)
        {
            Console.WriteLine("{0}",a[i] + b[i]);
        }

		//Console.WriteLine("");


	}
}