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 -*-
while true
	tmp = gets

  break if tmp  == nil#break unless num1でもよい

	num1, num2 = tmp.split


  num3 = num1.to_i + num2.to_i
  num3 = num3.to_s

  puts num3.length
end