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/ruby

ARGF.each_line do |line|
    line = line.chomp
    line = line.split(" ")
    line = line.map { |x| x.to_i }
    tmp = line[0] + line[1]
    tmp = tmp.to_s
    puts "#{tmp.length}\n"
end