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)

function main(input) {
	var a = parseInt(input[0]);
	var b = parseInt(input[1]);
  	var c = a + b + '';
  	process.stdout.write(c);
}

var input = '';


process.stdin.setEncoding('utf8');
process.stdin.on('data', function(data) {
  input = data.split('\r\n')[0].split(' ');
  process.stdin.pause();
  main(input);
});
process.stdin.resume();