Marathon weekend with restrictions
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.
The first line contains an integer stands for the number of test cases. Number of test cases does not exceed 10.
Each test case contains an integer n (n ≥ 0). All the numbers do not exceed 2·109.
For each case, output "Lucky number!" if the number is lucky, otherwise output "What a pity!".
2 0 8
Lucky number! Lucky number!