405759: GYM102059 I Game on Plane
Description
You are given $$$N$$$ points on a plane. These points are precisely the set of vertices of some regular $$$N$$$-gon. Koosaga, an extreme villain, is challenging you with a game using these points. You and Koosaga alternatively take turns, and in each turn, the player
- chooses two of the given points, then
- draws the line segment connecting the two chosen points.
Given the integer $$$N$$$, Koosaga is letting you decide who will move first. Your task is decide whether you need to move first or the second so that you can win regardless of Koosaga's moves.
InputThe input consists of many test cases. The first line contains an integer $$$T$$$ ($$$1\leq T\leq 5000$$$), the number of test cases. Each of the following $$$T$$$ test cases is consisted of one line containing the integer $$$N$$$ ($$$3\leq N\leq 5000$$$).
OutputFor each test case, print one line containing the string First if you need to move first or Second if you need to move second so that you can win regardless of Koosaga's moves.
ExampleInput2Output
3
5
First
Second