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;
using System.Linq;

namespace AOJ0002
{
    class Program
    {
        static void Main(string[] args)
        {
            var inputStr = (Console.ReadLine());
            var q = inputStr.Split(' ');
            var i = q.Sum(s => Convert.ToInt32(s));

            Console.WriteLine(i.ToString().Length);
        }
    }
}