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)

def calcDigit(x)
  t = x
  d = 0
  while t > 0
    t = t / 10
    d += 1
  end

  return d
end

input = Array.new()

while (line = gets) != nil
  input.push(line.split())
end

for i, j in input
  puts calcDigit(i.to_i + j.to_i)
end