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)

include Math

loop do
	in1 = gets
	in2 = gets
	break if (in1 == "\n") || (in2 == "\n")
	a = in1.to_i
	b = in2.to_i
	p log10(a + b + 1).ceil	
end