水题（找规律）

Posted 2022-08-05 nonames

http://codeforces.com/gym/101061/problem/A

A. Cards

time limit per test

2.0 s

memory limit per test

64 MB

input

standard input

output

standard output

Omar has a deck of cards. Every card has a unique integer number written on it. He says that his cards are numbered starting from 1, and if a card with number N exists, then a card with number N + 1 exists. Yes he may have an infinite sequence !

Yesterday when he went to school, his little brother Samir played with his cards by sorting them into two boxes according to the numbers written on them by repeating the following two steps:

1. Take the card with the smallest number, let it be X.
2. Put the card with number X in the first box and put the card with number 2 * X in the second box.

So the first few numbers in the boxes will be:

First box : 1, 3, 4, 5, 7, ...

Second box : 2, 6, 8, 10, 14, ...

Omar came back home and he asked Samir for the card with number Q written on it. Help Samir to find out in which box he can find the required card.

Input

Your program will be tested on one or more test cases. The first line of the input will be a single integer T, the number of test cases .

T lines follow, each describing a test case consisting of a single integer Q (1 ≤ Q ≤ 10¹⁸)

Output

For every test case print "First Box" if the card is in the first box or "Second Box" otherwise.

Example

Input

Copy

3
1
6
1024

Output

Copy

First Box
Second Box
First Box

#include <cstdio>
#include <cstring>
#include <cmath>
#include <algorithm>
#include <iostream>
#include <algorithm>
#include <iostream>
#include <cstdio>
#include <string>
#include <cstring>
#include <stdio.h>
#include <queue>
#include <string.h>
#include <vector>
#include <map>
#define ME(x , y) memset(x , y , sizeof(x))
#define SF(n) scanf("%d" , &n)
#define rep(i , n) for(int i = 0 ; i < n ; i ++)
#define INF  0x3f3f3f3f
#define mod 1000000007
using namespace std;
typedef long long ll ;



int main()

    int t ;
    scanf("%d" , &t);
    while(t--)
    
        ll n , ans = 0 ;
        scanf("%lld" , &n);
        if(n % 2 == 1)
        
            printf("First Box\n");
        
        else
        
            while(n % 2 == 0)
            
                n /= 2 ;
                ans ++ ;
            
            if(ans % 2 == 1)
                printf("Second Box\n");
            else
                printf("First Box\n");
        

    

    return 0 ;