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
 
while(true) {
    $inputs = explode(' ', trim(fgets(STDIN)));
 
    if (!is_array($inputs) || count($inputs) < 2) {
        exit;
    }
 
    $a = $inputs[0];
    $b = $inputs[1];
 
    $d = numDigits($a + $b);
 
    echo $d . "\n";
}
 
function numDigits($n) {
    return (int)(log10($n) + 1);
}