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 Ruby (judge verdict: Accepted)

module Input
	def numread()
		s = gets().split()
		p = Array.new()
		for i in 0...s.size()
			p[i] = s[i].to_i()
		end
		return p
	end
	
	module_function:numread
end

include Input

loop{
	if(STDIN.eof())
		break
	end
	w = numread()
	n = w[0] + w[1];
	print(n.to_s().size(),"\n")
}