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)

#-*-coding:utf-8*-
#0002.rb

#?????\????????????????????????????????????
roop_limit = 200
count = 0

while input = gets do # && count < roop_limit
  #??????????????§???????????????????????£??????
  num_str = input.split(" ")
  #????????????????????????map????????¨????????¨????????????????????????????????????
  num_int = num_str.map(&:to_i)
  sum = num_int[0] + num_int[1]
  puts sum.to_s.length

  count += 1 #???????????°??????
  #200????¶????????????£??????????????????
  if count > roop_limit then
    break
    puts "200???????¶????????????????"
  end
  
end