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LiveCodeBench / 1899_A / A. Game with Integers

Problem

Scored by the benchmark’s own harness. Use the benchmark’s own evaluation harness to check your work.

contest date

2023-10-17T00:00:00

contest id

1899

difficulty

easy

platform

codeforces

question content

Vanya and Vova are playing a game. Players are given an integer nn. On their turn, the player can add 11 to the current integer or subtract 11. The players take turns; Vanya starts. If after Vanya's move the integer is divisible by 33, then he wins. If 1010 moves have passed and Vanya has not won, then Vova wins. Write a program that, based on the integer nn, determines who will win if both players play optimally. Input The first line contains the integer tt (1t1001 \leq t \leq 100) — the number of test cases. The single line of each test case contains the integer nn (1n10001 \leq n \leq 1000). Output For each test case, print "First" without quotes if Vanya wins, and "Second" without quotes if Vova wins.Sample Input 1: 6 1 3 5 100 999 1000 Sample Output 1: First Second First First Second First
Plain-text mathematical notation (without MathML)
Vanya and Vova are playing a game. Players are given an integer n. On their turn, the player can add 1 to the current integer or subtract 1. The players take turns; Vanya starts. If after Vanya's move the integer is divisible by 3, then he wins. If 10 moves have passed and Vanya has not won, then Vova wins.

Write a program that, based on the integer n, determines who will win if both players play optimally.

Input

The first line contains the integer t (1≤t≤100) — the number of test cases.

The single line of each test case contains the integer n (1≤n≤1000).

Output

For each test case, print "First" without quotes if Vanya wins, and "Second" without quotes if Vova wins.Sample Input 1:
6

1

3

5

100

999

1000



Sample Output 1:

First
Second
First
First
Second
First
Original LaTeX notation
Vanya and Vova are playing a game. Players are given an integer $n$. On their turn, the player can add $1$ to the current integer or subtract $1$. The players take turns; Vanya starts. If after Vanya's move the integer is divisible by $3$, then he wins. If $10$ moves have passed and Vanya has not won, then Vova wins.

Write a program that, based on the integer $n$, determines who will win if both players play optimally.

Input

The first line contains the integer $t$ ($1 \leq t \leq 100$) — the number of test cases.

The single line of each test case contains the integer $n$ ($1 \leq n \leq 1000$).

Output

For each test case, print "First" without quotes if Vanya wins, and "Second" without quotes if Vova wins.Sample Input 1:
6

1

3

5

100

999

1000



Sample Output 1:

First
Second
First
First
Second
First

question title

A. Game with Integers

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