Time Limit : sec, Memory Limit : KB

# 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