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: Wrong Answer)


import java.io.*;
import java.util.*;

public class Main {

    public static void main(String[] argv) throws IOException {
        //*
        BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
        while(true) {
            String s = in.readLine();
            if (s == null) {
                break;
            }
            f(s);
        }
        //*/
    }

    public static void f(String s) {
        String[] sp = s.split(" ");
        System.out.println(Integer.parseInt(sp[0]) + Integer.parseInt(sp[1]));
    }
}