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 = require('fs').readFileSync('/dev/stdin', 'utf8');
var lines = input.split('\n');

for (var i = 0; i < lines.length; i++) {
	var vals = lines[i].split(' ').map(function(i){return +i;});
	console.log(((vals[0] + vals[1]) + "").length);
}