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;
public class Hello{
    public static void Main(){
        string DataSet;
        string[] Data;
        List<int> AddLen = new List<int>();
        while((DataSet = Console.ReadLine()) != null){
            Data = DataSet.Split(' ');
            AddLen.Add((int.Parse(Data[0]) + int.Parse(Data[1])).ToString().Length);
        }
        for(int i = 0; i < AddLen.Count; i++){
            Console.WriteLine(AddLen[i]);
        }
    }
}