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 JAVA (judge verdict: Accepted)

import java.io.*;

public class Main {
    public static void main(String[] a) throws NumberFormatException, IOException {
        BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
        String line;
        // データ読み込み
        while ((line = in.readLine()) != null) {
            String res = String.valueOf(Integer.parseInt(line.split(" ")[0]) + Integer.parseInt(line.split(" ")[1]));
            System.out.println(res.length());
        }
    }
}