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



class Program
{
    public const int INF = 1 << 25;

    static void Main()
    {
		string str;
		while (!string.IsNullOrEmpty(str = Console.ReadLine())) {
			string[] input = str.Split(' ');
			int a = int.Parse(input[0]);
			int b = int.Parse(input[1]);
			int c = a + b;
			int ans = 1;
			while (c / 10 != 0) {
				c /= 10;
				ans++;
			}
			Console.WriteLine(ans);
		}
	}
}