CF197A.Plate Game
普及/提高-
通过率:0%
时间限制:2.00s
内存限制:256MB
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题目描述
You've got a rectangular table with length a and width b and the infinite number of plates of radius r. Two players play the following game: they take turns to put the plates on the table so that the plates don't lie on each other (but they can touch each other), and so that any point on any plate is located within the table's border. During the game one cannot move the plates that already lie on the table. The player who cannot make another move loses. Determine which player wins, the one who moves first or the one who moves second, provided that both players play optimally well.
你有一张长为 a、宽为 b 的矩形桌子,以及无限多个半径为 r 的圆盘。两名玩家进行如下游戏:他们轮流将圆盘放置在桌子上,要求任意两个圆盘互不重叠(但可以相切),且每个圆盘上的所有点都必须位于桌子边界之内。游戏过程中,已放置在桌子上的圆盘不可移动。无法再进行合法操作的玩家判负。假设双方均以最优策略进行游戏,请判断先手玩家还是后手玩家获胜。
输入格式
A single line contains three space-separated integers a, b, r (1 ≤ a, b, r ≤ 100) — the table sides and the plates' radius, correspondingly.
一行包含三个以空格分隔的整数 a、b、r(1 ≤ a, b, r ≤ 100),分别表示桌子的边长和盘子的半径。
输出格式
If wins the player who moves first, print "First" (without the quotes). Otherwise print "Second" (without the quotes).
如果先手玩家获胜,则输出 "First"(不带引号);否则输出 "Second"(不带引号)。
输入输出样例
输入#1
5 5 2
输出#1
First
输入#2
6 7 4
输出#2
Second
说明/提示
In the first sample the table has place for only one plate. The first player puts a plate on the table, the second player can't do that and loses.

In the second sample the table is so small that it doesn't have enough place even for one plate. So the first player loses without making a single move.

在第一个样例中,桌子仅能容纳一个盘子。先手玩家将一个盘子放在桌子上,后手玩家无法放置盘子,因此输掉游戏。

在第二个样例中,桌子过小,甚至无法容纳一个盘子。因此先手玩家尚未进行任何操作便已输掉游戏。

输入解题思路,AI测评打分。不知道怎么写?