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图灵 OJTURING / ONLINE JUDGE

#F2790. Plate Game

    ID: 2796 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 4 上传者: 标签>构造博弈数学算法思想进阶难度共享题库Codeforces英文题面题目来源题面语言

Plate Game

题目描述

A. Plate Game
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

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.

Input

A single line contains three space-separated integers a, b, r (1≤a,b,r≤100) − the table sides and the plates' radius, correspondingly.

Output

If wins the player who moves first, print "First" (without the quotes). Otherwise print "Second" (without the quotes).

Examples
Input
5 5 2
Output
First
Input
6 7 4
Output
Second
Note

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.


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 2460 题。保留原作者与原赛事署名。