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)

def digit(gets_sum)
  i = 0
  while (gets_sum != 0) do
    gets_sum /= 10
    i += 1
  end
  i
end

while (str = gets) do
  puts digit(str.split(" ").map(&:to_i).sum)
end