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)

c=[]
count=0
while (gets)
  a, b = $_.chomp.split(" ").map(&:to_i)
  
  c1=0
  c2=0
  until a == 0
    a = a/10
    c1=c1+1
  end
  until b == 0
    b = b/10
    c2=c2+1
  end
  c[count] = c1 + c2
  count=count+1
end
puts c