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.IOException;
import java.io.InputStreamReader;
import java.io.BufferedReader;

public class Main{
    public static void main(String[] args) throws IOException{
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

        String line;

        while( (line = br.readLine()) != null){
            String[] s = line.split(" ");
            int a = Integer.parseInt(s[0]);
            int b = Integer.parseInt(s[1]);
            System.out.println(1+(int)Math.log10(a+b));
        }

    }
}