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 input = gets do
  arr = []
  ans = 0
  arr = input.split(" ")

  for i in 0..arr.length do
    ans  += arr[i].to_i
  end
  ans = ans.to_s.split("")
  puts  ans.length
end