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)

class AOJ1
  def digitNumber first,second
    n = first + second
    digit = n.to_s.length
    return digit
  end
end


while g = gets  do
  line = g.chomp.split(" ")
  first = line[0].to_i
  second = line[1].to_i
  
  aoj = AOJ1.new
  puts aoj.digitNumber first,second
end