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;
class wa
{
    static void Main()
    {
        int[] a = new int[200];
        int r=0;
        for(int i = 0; i <200; i++)
        {
            string b = Console.ReadLine();
            if (string.IsNullOrEmpty(b)) { break; }
            string[] c = b.Split(' ');
            long d = long.Parse(c[0]), e = long.Parse(c[1]);
            long f = d + e;
            b = f.ToString();
            a[i] = b.Length;
            r++;
        }
        for(int i = 0; i < r; i++)
        {
            Console.WriteLine(a[i]);
        }
        
    }
}