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
//???????????´??°?????\???????????????
$list=array();
//????????????????????°???????????????
$count=0;
while($count<200){
    $stdin=trim(fgets(STDIN));
    //??\???????????????????????????
    if($stdin===false){
        break;
    }
    //??\????????????????????§??????
    $list[]=explode(" ", $stdin);
    //?¨?????????????
    $ans=(int)$list[0][0]+(int)$list[0][1];

    //????????????
    echo strlen((string)$ans)."\n";
    $count++;
}