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.Linq;

class Program {
    private static int Main() {
        while( true ) {
            var input = Console.ReadLine();
            if( string.IsNullOrEmpty( input ) ) { break; }

            var values = input.Split( ' ' );
            var sum = values.Select( _ => int.Parse( _ ) ).Sum();
            var digit = sum.ToString().Length;

            Console.WriteLine( digit );
        }

        return 0;
    }
}