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Cute Number~ε٩(๑> ₃ <)۶з

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Time limit1sMemory limit512 MB

Summary
Given an integer up to 10^18, check whether its digits form an arithmetic sequence with a constant difference, and print one of two fixed messages.
Level

Easy2 of 10

Topics
Implementation, Math, String, Brute force
Solved
No attempts yet

Problem

Ukgje likes cute numbers~ε٩(๑> ₃ <)۶з. A cute number~ε٩(๑> ₃ <)۶з is a number whose digits form an arithmetic sequence[*]. You want to give Ukgje a cute number~ε٩(๑> ₃ <)۶з as a gift. Given a number, write a program that determines whether it is cute.

[*] Digits that form an arithmetic sequence increase or decrease by a fixed amount (which may be 0) as you go from left to right. If you are not sure what this means, look at the examples. ㅋㅋ!

Input

An integer k(1≤k≤1018)k(1 \le k \le 10^{18}) is given. The input does not start with 0.

Output

If the number is cute, print ◝(⑅•ᴗ•⑅)◜..°♡ 뀌요미!!; if it is not cute, print 흥칫뿡!! <(￣ ﹌ ￣)>. Print without the quotation marks.

Examples5

  1. Example 1

    Input
    630
    Expected output
    ◝(⑅•ᴗ•⑅)◜..°♡ 뀌요미!!

  2. Example 2

    Input
    631
    Expected output
    흥칫뿡!! <(￣ ﹌ ￣)>

  3. Example 3

    Input
    999999999999999999
    Expected output
    ◝(⑅•ᴗ•⑅)◜..°♡ 뀌요미!!

  4. Example 4

    Input
    1000000000000000000
    Expected output
    흥칫뿡!! <(￣ ﹌ ￣)>

  5. Example 5

    Input
    12
    Expected output
    ◝(⑅•ᴗ•⑅)◜..°♡ 뀌요미!!