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)

loop{
  input = gets
  break if input.nil?
  a = input.split(" ").map(&:to_i)
  n = a[0]+a[1]
  digit = 1
  loop{
    n /= 10
    break if n < 1
    digit += 1
  }
  puts digit
}