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)

Signal.trap(:INT){
  exit(0)
}

while come = gets
	a = ["aa","bb"]
	siz = 1 #keta
	a = come.split(" ")

	sum = a[0].to_i + a[1].to_i 

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

end