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;

namespace AOJ.Volume0
{
    class Program0002
    {
        static void Main(string[] args)
        {
            const int M = 3;
            const int N = 2;
            int[,] pairs = new int[M,N];

            for (int i = 0; i < M; i++)
            {
                string input = Console.ReadLine();
                string[] splitedInput = input.Split(' ');

                for (int j = 0; j < N; j++)
                {
                    pairs[i, j] = int.Parse(splitedInput[j]);
                }
            }

            for (int i = 0; i < M; i++)
            {
                Console.WriteLine("{0}", (pairs[i,0] + pairs[i,1]).ToString().Length);
            }
        }
    }
}