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
{
    //Constで定義すると警告が出るので、変数として定義
    static string InputPattern = "Input2";

    static List<string> GetInputList()
    {
        var WillReturn = new List<string>();

        if (InputPattern == "Input1") {
            WillReturn.Add("5 7");
            WillReturn.Add("1 99");
            WillReturn.Add("1000 99");
        }
        else {
            string wk;
            while ((wk = Console.ReadLine()) != null) WillReturn.Add(wk);
        }
        return WillReturn;
    }

    static void Main()
    {
        List<string> InputList = GetInputList();

        foreach (string EachStr in InputList) {
            string[] IntArr = EachStr.Split(' ');
            int wkSum = int.Parse(IntArr[0])+int.Parse(IntArr[1]);
            int Ketasuu = (int)Math.Truncate(Math.Log10(wkSum))+1;

            Console.WriteLine(Ketasuu);
        }
    }
}