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 JavaScript (judge verdict: Wrong Answer)

var input = [];
process.stdin.resume();
process.stdin.setEncoding("utf8");
process.stdin.on('data', function(chunk){
   input = chunk.toString("utf8").split("\n");
});
process.stdin.on('end', function(){
    for (var i = 0; i < input.length; i++) {
        input[i] = input[i].split(" ");
    console.log((parseInt(input[i][1]) + parseInt(input[i][1])).toString().length);
    }
});