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;
using System.Collections.Generic;

class Program
{
    public static void Main (string[] args)
    {
        int left, right;
        String[] str;
        str = Console.ReadLine ().Split (' ');
//        while ((str = Console.ReadLine().Split(' ')).Length == 2) {
//        while ((str = Console.ReadLine().Split(new char[ 1 ]{ ' ' }, StringSplitOptions.RemoveEmptyEntries)).Length == 2) {
            left = int.Parse(str[0]); 
            right = int.Parse(str[1]);
            int digit = 1;
            for (uint tmp = (uint)(left + right); tmp / 10 > 0; tmp /= 10)
                ++digit;
            System.Console.WriteLine (digit);
  //       }

    }
}