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)

count = 1
while count <4
	num_input =  STDIN.gets.chomp
	array = num_input.split("\s")
	sum = array[0].to_i + array[1].to_i
	p sum.to_s.length
	count += 1
end