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 Scala (judge verdict: Wrong Answer)

import scala.io.Source.stdin

object Main {
	def main (args: Array[String]) = {
		var sum = io.StdIn.readLine()
		while(sum != null) {
			stdin.getLines()map(_.split(" ").map(_.toInt).sum.toString.length)
			sum = io.StdIn.readLine()
		}
	}
}