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 static java.lang.System.out;
import static java.lang.Integer.parseInt;
import java.io.File;
import java.util.Scanner;

public class Main {

    public static void main(String[] args) {
        new Main().digit();
    }

    public void digit() {
        try (Scanner scan = new Scanner(System.in)) {
            scanDigit(scan);
        } catch (Exception e) {
            System.exit(0);
        }
    }

    public void digit(String inDataPath) {
        try (Scanner scan = new Scanner(new File(inDataPath))) {
            scanDigit(scan);
        } catch (Exception e) {
            e.printStackTrace();
        }
    }

    public void scanDigit(Scanner scan) throws Exception {
        String inData;
        while ((inData = scan.nextLine()) != null || !"".equals(inData)) {
            String[] inDataList = inData.split(" ");
            int sum = parseInt(inDataList[0]) + parseInt(inDataList[1]);
            out.println(String.valueOf(sum).length());
        }
    }
}