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: Wrong Answer)

<?php
  fgets(STDIN);
  while($line=fgets(STDIN)){
    $num[]=$line;
  }
  foreach($num as $ele){
    $ele2=explode(" ",$ele);
    echo strlen($ele2[0]+$ele2[1])."\n";
  }