Problem Description

To Chinese people, 8 is a lucky number. Now your task is to judge if a number is lucky.
We say a number is lucky if it’s a multiple of 8, or the sum of digits that make up the number is a multiple of 8, or the sum of every digit’s square is a multiple of 8.

Input

The first line contains an integer stands for the number of test cases.
Each test case contains an integer n (n >= 0).

Output

For each case, output “Lucky number!” if the number is lucky, otherwise output “What a pity!”.

2
0
8

Lucky number!
Lucky number!

Author

dandelion