Codeforces Round 124 (Div. 2)
A
Plate Game
Codeforces
1600
原题
←B →
翻译中…

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.

翻译中…

Input

翻译中…

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

翻译中…

Output

翻译中…

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

翻译中…

Note

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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.

翻译中…

image

翻译中…

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.

翻译中…

image

翻译中…

样例

Input #1
5 5 2
Output #1
First
InputCopy OutputCopy
Input #2
6 7 4
Output #2
Second
InputCopy OutputCopy
题目信息
题号
197A
时间限制
2 s
内存限制
256 MB
标签
构造
博弈论
数学

题面与样例版权归 Codeforces 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。