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)

'use strict';
(function(stdin) { 
	var inputs = stdin.toString().trim().split('\n');
	for(var i = 0; i< inputs.length; i++){
		var cols = inputs[i].split(' ');
		console.log(cols[0].length + cols[1].length);
	}

}(require('fs').readFileSync('/dev/stdin', 'utf8')));