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)

#! /usr/bin/env ruby
# -*- coding: utf-8 -*-

class Main
  def solve
    # insert your code
    STDIN.each_line do |line|
      a, b = line.split.map &:to_i
      if a == 0 and b == 0
        puts 1
      else
        puts Math.log10(a+b).floor + 1
      end
    end
    return nil    
  end
end


if __FILE__ == $PROGRAM_NAME
  h = Main.new
  h.solve
end