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)

sums = []

def digits(v)
  count = 1
  while v >= 10
    v /= 10
    count += 1
  end
  count
end

STDIN.each_line do |line|
  a, b = line.split(" ")
  a, b = a.to_i, b.to_i

  sums << a + b
end

sums.each do |sum|
  puts digits(sum)
end