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.Scanner;

public class Main {

	/**
	 * ?????°??????????????????????????????????????????????????????????????????????????????????????????????????? ???????????????????????????????????´??° a ??¨ b
	 * ??????????????????????????§??????????????????????????????????????\????????????????????§????????????????????????a ??¨ b ??????????????´??°??¨????????????
	 * 
	 * @param args
	 */
	public static void main(String[] args) {
		// TODO ?????????????????????????????????????????????
		Scanner sc = new Scanner(System.in);

		int a = sc.nextInt();
		int b = sc.nextInt();

		int divisorNum = 0;
		for (int i = 0; i <= 2; i++) {
			int sum = a + b;
			int keta = 1;
			divisorNum = 0; // ??¨????????????????????°
			while (true) {
				if (sum / keta > 0) {
					keta *= 10;
					divisorNum++;
				} else {
					break;
				}
			}

		}

		System.out.println(divisorNum);
	}

}