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)

while (tmp = gets) != nil
  (a,b) = tmp.chomp.split.map(&:to_i)
  break if  a == nil || b == nil
  c = a.to_i + b.to_i
  count = 1

  while(c / 10) >= 1
    c /= 10
    count += 1
  end

  puts count
end