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.*;

class Main{
	public static void main(String[] args)throws IOException{
		int a,b,sum,digits;
		int i=1;
		String str;
		String num[]=new String[2];
		BufferedReader in =new BufferedReader(new InputStreamReader(System.in));
		while(i<=200){
			if((str=in.readLine())!=null)
				break;
			digits=1;
			num=str.split(" ",0);
			a=Integer.parseInt(num[0]);
			b=Integer.parseInt(num[1]);
			sum=a+b;
			while((sum=sum/10)!=0){
				digits++;
			}
			System.out.println(digits);
			i++;
		}
	}

}