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)

imput = gets.chomp.split("\s")
a = imput[0].to_i
b = imput[1].to_i

until (a == 0) || (b == 0)
	sum = a + b
	puts sum.to_s.length
	
	imput = gets.chomp.split("\s")
	a = imput[0].to_i
	b = imput[1].to_i
end