HZNUOJ

Primary Arithmetic

Tags:
Time Limit:  1 s      Memory Limit:   128 MB
Submission:136     AC:39     Score:97.77

Description

Children are taught to add multi-digit numbers from right-to-left one digit at a time. Many find the "carry" operation - in which a 1 is carried from one digit position to be added to the next - to be a significant challenge. Your job is to count the number of carry operations for each of a set of addition problems so that educators may assess their difficulty.

Input

Each line of input contains two unsigned integers less than 10 digits. The last line of input contains 0 0.

Output

For each line of input except the last you should compute and print the number of carry operations that would result from adding the two numbers, in the format shown below.

Samples

input
123 456 555 555 123 594 0 0
output
No carry operation. 3 carry operations. 1 carry operation.