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)

#encoding:utf-8 No.0002 2014.9.29
numbers = []

while gets
 number = $_.split

 2.times do |i|
  number[i] = number[i].to_i
 end
 
 numbers.push number
end

i = 0
while i < numbers.length
 puts "#{numbers[i][0] + numbers[i][1]}".length
 i += 1
end