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.util.Scanner;

class Main {
    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        while(in.hasNext()) {
            String ab = in.nextLine();
            String[] ls = ab.split(" ",0);
            int[] ls2 = new int[2];
            for (int i = 0 ; i < 2; i++) {
                ls2[i] = Integer.parseInt(ls[i]);
            }
            int c = ls2[0] + ls2[1];
            int ans = String.valueOf(c).length();
            System.out.println(ans);
        }
    }
}