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: Wrong Answer)

def cntDigits num

	digit = 1;

	while (num > 10) do

		digit += 1
		num = num / 10.0
	end

	return digit
end

while line = gets do 

	nums = line.split
	puts cntDigits ( nums[0].to_i + nums[1].to_i )

end