Game on Plane

정N각형의 꼭짓점에서 선분을 그리는 게임에서 볼록 다각형이 완성되는 순간이 오면, 먼저 둘지 나중에 둘지 이기는 쪽을 판정한다.

어려움8게임 이론조합론기하아직 제출이 없습니다시간 제한1초메모리 제한1024 MB

문제

You are given NN points on a plane. These points are precisely the set of vertices of some regular NN-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

  1. chooses two of the given points, then
  2. draws the line segment connecting the two chosen points.

Also, the newly drawn line segment must not intersect with any of the previously drawn line segments in the interior. It is possible for two segments to meet at their endpoints. If at any point of the game, there exists a convex polygon consisting of the drawn line segments, the game ends and the last player who made the move wins.

Given the integer NN, 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.

입력

The input consists of many test cases. The first line contains an integer TT (1T5,0001\leq T\leq 5,000), the number of test cases. Each of the following TT test cases is consisted of one line containing the integer NN (3N5,0003\leq N\leq 5,000).

출력

For 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.