CF78C.Beaver Game
普及/提高-
通过率:0%
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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<=109 ).
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.