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Goofy Numbers

2000ms 262144K

Description:

The non-negative integer a is a divisor of the non-negative integer b if and only if there exists a positive integer c such that a × c = b.

Some numbers are really interesting. Commander Surena defines some interesting properties for non-negative integers:

  • An integer is happy if it is divisible by at least one of its digits and not by all of them.
  • An integer is happier if it is divisible by all of its digits.
  • An integer is upset if it's divisible by none of its digits.

Surena asks you to find out if a given number is happy, happier or upset.

Input:

Input contains a single non-negative integer n (1 ≤ n ≤ 108).

Output:

Write on a single line the type of the integer: happy, happier or upset. Print the type in lowercase letters.

Sample Input:

99

Sample Output:

happier

Sample Input:

29994

Sample Output:

happy

Sample Input:

23

Sample Output:

upset

Note:

In the second test 29994 is only divisible by 2.

In the third test 23 is a prime number.

Informação

Codeforces

Provedor Codeforces

Código CF72I

Tags

*specialimplementation

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Taxa de BOUA's 0%

Datas 09/05/2023 08:30:32

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