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 PHP (judge verdict: Time Limit Exceeded)

<?php 
	while(1){
		fscanf(STDIN,"%d %d",$a,$b);
		if($a===NULL)break;
		$c=0;
		$x=$a+$b;
		while($x>0){
			$c++;
			$x=($x-$x%10)/10;
		}
		print $c."\n";
	}
?>