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)

function main(input) {
	var lines = input.split("\n").slice(0,200);
	for (var i = 0; i < lines.length; i++) {
		var digits = lines[i].split(" ").map(function(value) {return parseInt(value);});
		var digit = digits[0] + digits[1]; 
		if (!isNaN(digit)) {console.log((digit + '').length);}
	}
}
main(require('fs').readFileSync('/dev/stdin','utf8'));