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;

class Main{
    public static void main(String[] args){
	final Scanner sc=new Scanner(System.in);
	for(int i=0;i<3;i++){
	    int a=sc.nextInt();
	    int b=sc.nextInt();
	    int sum=a+b;
	    int count=0;
	    while(true){
		count++;
		sum/=10;
		if(sum==0) break;
	    }
	    System.out.println(count);
	}
    }
}