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)

#! ruby -Ku

def scale(i)
	if i>=0
		return i.to_s.length
	else return i.to_s.length-1
	end
end
while a=gets
	n=a.split
	x=n[0].to_i+n[1].to_i
	print scale(x),"\n"
end