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: Wrong Answer)

 (a, b) = gets.chomp.split(" ")
 p a,b
 a, b = a.to_i, b.to_i
 p a, b
d = a + b
c = 0
 while d != 0
  c = c + 1
  d = d/10
 end
puts c