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.Generic;
using System.Linq;

namespace Problem0002
{
    class Program
    {
        static void Main(string[] args)
        {
            var sums =
                GetInputLines()
                .Select(line => line.Split().Select(word => int.Parse(word)).Sum());
            var lengths = sums.Select(sum => sum.ToString().Length);
            foreach (int length in lengths)
            {
                Console.WriteLine(length);
            }
        }

        static IEnumerable<string> GetInputLines()
        {
            string line;
            while (!string.IsNullOrEmpty(line = System.Console.ReadLine()))
            {
                yield return line;
            }
        }
    }
}