Beaver Game

1000ms

262144K

Description:

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 ≤ 10⁹).

Output:

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

Sample Input:

1 15 4

Sample Output:

Timur

Sample Input:

4 9 5

Sample 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.

Informação

Provedor Codeforces

Código CF78C