Darcy_Liu is the real Darcy Liu. However, there are many fake Darcys.

The real Darcy has one underscore in his username. Fake Darcys start with darcy, contain a positive number of underscores, and end with liu. Uppercase and lowercase do not matter, and usernames only contain alphanumeric characters and underscores.

Given a DMOJ username, print whether it is real, fake, or other user.

Input Specification

The first line will contain the string of a username, ~S~.

Output Specification

Output real, fake, or other user depending on if they match the descriptions above.

Constraints

~1 \leq |S| \leq 100~

Note that ~|S|~ denotes the length of the string ~S~.

Sample Input 1

Darcy_liu

Sample Output 1

real

Sample Input 2

darcY_______lIu

Sample Output 2

fake

Sample Input 3

Darsee_Lew

Sample Output 3

other user