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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;
class Main {
    
    public static void main(String[] args) throws IOException {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        String str=br.readLine();
        while(true){
            try{
                StringTokenizer st=new StringTokenizer(str," ");
                int sum=Integer.parseInt(st.nextToken())+Integer.parseInt(st.nextToken());
                System.out.println(String.valueOf(sum).length());
                str=br.readLine();
            }catch(Exception e){System.exit(0);}
        }
    }
    
}