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 Format: Input contains a single non-negative integer n (1 ≤ n ≤ 108). Output Format: Write on a single line the type of the integer: happy, happier or upset. Print the type in lowercase letters. Note: In the second test 29994 is only divisible by 2. In the third test 23 is a prime number.