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: Accepted)

var Digit;
(function (Digit) {
    var Counter = (function () {
        function Counter(a, b) {
            this.number = a + b;
        }
        Counter.prototype.count = function () {
            var digits = 1;
            var remain = this.number;
            while (true) {
                remain = Math.floor(remain / 10);
                if (remain <= 0) {
                    break;
                }
                digits++;
            }
            return digits;
        };
        return Counter;
    })();
    Digit.Counter = Counter;
})(Digit || (Digit = {}));
process.stdin.resume();
process.stdin.setEncoding('utf8');
process.stdin.on('data', function (chunk) {
    chunk.trim().split('\n').forEach(function (lines) {
        var ab = lines.trim().split(' ');
        var digit = new Digit.Counter(+ab[0], +ab[1]);
        console.log(digit.count());
    });
});