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)

data = []
i = 0

while n = gets
        data[i] = n.chomp.to_s
        data[i] = data[i].split
        data[i] = (data[i][0].to_i + data[i][1].to_i).to_s
        i += 1
end

for i in 0...i
        puts data[i].length
end