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A8112. Beaver Game

编程题 普及/提高-

题目描述

Two 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.

输入格式

The first line contains three integers $n$ , $m$ , $k$ ( $1<=n,m,k<=10^{9}$ ).

输出格式

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

输入输出样例

输入 #1
1 15 4
输出 #1
Timur
输入 #2
4 9 5
输出 #2
Marsel

说明/提示

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.
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