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: Time Limit Exceeded)

while a = gets.to_i
	Signal.trap(:INT){
 	 exit(0)
	}

	siz = 1 #keta
	b = gets.to_i

	break if (a == nil||b == nil)
	sum = a + b

	for i in (1..7)
		 if siz > sum
	 		puts i-1
	 		break
	 	end
	 	siz *= 10
	end

end