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)

a = []
b = []
i = 0;

while true
   ln = gets
   if ln == nil
      break
   end
   a[i], b[i] = ln.chomp.split
   a[i], b[i] = a[i].to_i, b[i].to_i
   i = i + 1
end

for j in 0..(i - 1)
   cnt = 0
   sum = a[j] + b[j]
   while sum > 0
      cnt = cnt + 1
      sum = sum / 10
   end
   puts cnt
end