Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

The problem statement has recently been changed. View the changes.

×
C. Beaver Game

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputTwo beavers, Timur and Marsel, play the following game.

There are *n* logs, each of exactly *m* meters in length. The beavers move in turns. For each move a beaver chooses a log and gnaws it into some number (more than one) of equal parts, the length of each one is expressed by an integer and is no less than *k* meters. Each resulting part is also a log which can be gnawed in future by any beaver. The beaver that can't make a move loses. Thus, the other beaver wins.

Timur makes the first move. The players play in the optimal way. Determine the winner.

Input

The first line contains three integers *n*, *m*, *k* (1 ≤ *n*, *m*, *k* ≤ 10^{9}).

Output

Print "Timur", if Timur wins, or "Marsel", if Marsel wins. You should print everything without the quotes.

Examples

Input

1 15 4

Output

Timur

Input

4 9 5

Output

Marsel

Note

In the first sample the beavers only have one log, of 15 meters in length. Timur moves first. The only move he can do is to split the log into 3 parts each 5 meters in length. Then Marsel moves but he can't split any of the resulting logs, as *k* = 4. Thus, the winner is Timur.

In the second example the beavers have 4 logs 9 meters in length. Timur can't split any of them, so that the resulting parts possessed the length of not less than 5 meters, that's why he loses instantly.

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Oct/27/2020 21:39:21 (f1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|