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.util.*;
public class Main {
    public static void main (String[] args) {
        Scanner inp = new Scanner (System.in);
        int sum = inp.nextInt() + inp.nextInt();
        int digit = (int)(Math.log10(sum)+1);
        System.out.println(digit);
    }
}