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: Accepted)

<?php

function digit($num) {
	return strlen((string)$num);
}

while(1) {
	$line = fgets(STDIN);
	if($line === false) break;

	list($a, $b) = explode(' ', $line);

	echo digit((int)$a + (int)$b) . PHP_EOL;
}