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.

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.

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.