传送门
题意: 有n堆石子,每次可从某一堆拿正数颗石子,最后无石子可拿的输掉比赛。先手赢输出"First",否则输出"Second"。
思路:
- 若整个序列都是1,那么奇数堆就是先手赢,反正后手赢。
- 若开头连续的1有奇数个,那么后手一定会有办法赢;反之就一定是先手赢。
代码实现:
#include<bits/stdc++.h>
#define endl '\n'
#define null NULL
#define ll long long
#define int long long
#define pii pair<int, int>
#define lowbit(x) (x &(-x))
#define ls(x) x<<1
#define rs(x) (x<<1+1)
#define me(ar) memset(ar, 0, sizeof ar)
#define mem(ar,num) memset(ar, num, sizeof ar)
#define rp(i, n) for(int i = 0, i < n; i ++)
#define rep(i, a, n) for(int i = a; i <= n; i ++)
#define pre(i, n, a) for(int i = n; i >= a; i --)
#define IOS ios::sync_with_stdio(0); cin.tie(0);cout.tie(0);
const int way[4][2] = {
{
1, 0}, {
-1, 0}, {
0, 1}, {
0, -1}};
using namespace std;
const int inf = 0x7fffffff;
const double PI = acos(-1.0);
const double eps = 1e-6;
const ll mod = 1e9 + 7;
const int N = 2e5 + 5;int t, n;signed main()
{
IOS;cin >> t;while(t --){
cin >> n;int m = n, ok = 1, cnt = 0;while(m --){
int x; cin >> x;if(x == 1 && ok) cnt ++;else ok = 0;}if(ok) cout << (n % 2 ? "First" : "Second") << endl; //如果全是1else if(cnt % 2) cout << "Second" << endl;else cout << "First" << endl;}return 0;
}