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
//???????????´??°?????\??????????????°
$a;
$b;
//????????????????????°???????????????
$count=1;
while($count<=200){
    $stdin=trim(fgets(STDIN));
    //??\?????????????????????????????????????????\???
    if(0<=$stdin&&$stdin<=1000000){
        $a=(int)$stdin;
    }
    $stdin=trim(fgets(STDIN));
    //??\?????????????????????????????????????????\???
    if(0<=$stdin&&$stdin<=1000000){
        $b=(int)$stdin;
    }
    //????????????
    echo strlen($a+$b)."\n";
    $count++;
}