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;
class main
{
    static void Main(string[] args)
    {
        string[] s = Console.ReadLine().Split(' ');
        int[] a = new int[2];

        for (int i = 0; i < 2; ++i)
        {
            a[i] = int.Parse(s[i]);
        }
        int b = a[0] + a[1];
        Console.WriteLine(b.ToString().Length);
        //Console.ReadKey();
    }
}