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;

class Program
{
    static void Main(string[] args)
    {
        List<int[]> list = new List<int[]>();

        while (true) {
            string v = Console.ReadLine();
            if (string.IsNullOrEmpty(v) == true) { break; }

            int a = int.Parse(v.Split(' ')[0]);
            int b = int.Parse(v.Split(' ')[1]);
            list.Add(new int[] { a, b });
        }

        for (int i = 0; i < list.Count; i++) {
            int c = list[i][0] + list[i][1];
            Console.WriteLine(c.ToString().Length);
        }
    }
}