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)

class Main
{
	public static void main( String[] args )
	{
		java.util.Scanner sc = new java.util.Scanner( System.in );
		int sum;
		int digitNum = 0;
		
		while( sc.hasNext() )
		{
			sum = sc.nextInt() +  sc.nextInt();
			
			digitNum = 0;
			while( sum > 0 )
			{
				sum /= 10;
				digitNum++;
			}
			System.out.println( digitNum );
		}
	}
}