luoguP3185 [HNOI2007]分裂游戏 枚举 + 博弈论


每个位置的瓶子中的每个石子是一个独立的游戏

只要计算出他们的\(sg\)值即可

至于方案数,反正不多\(n^3\)暴力枚举即可

反正怎么暴力都能过啊

复杂度\(O(Tn^3)\)


#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>
using namespace std;

#define ll long long
#define ri register int
#define rep(io, st, ed) for(ri io = st; io <= ed; io ++)
#define drep(io, ed, st) for(ri io = ed; io >= st; io --)

#define gc getchar
inline int read() {
	int p = 0, w = 1; char c = gc();
	while(c < '0' || c > '9') { if(c == '-') w = -1; c = gc(); }
	while(c >= '0' && c <= '9') p = p * 10 + c - '0', c = gc();
	return p * w;
}

int n, sg[25], mex[105];

inline void get_sg() {
	sg[n] = 0;
	drep(i, n - 1, 1) {
		memset(mex, 0, sizeof(mex));
		rep(j, i + 1, n) rep(k, j, n)
		mex[sg[j] ^ sg[k]] = 1;
		rep(j, 0, 100)
		if(!mex[j]) { sg[i] = j; break; }
	}
}

int main() {
	int T = read();
	while(T --) {
		n = read(); get_sg();
		int SG = 0;
		rep(i, 1, n) SG ^= (read() & 1) * sg[i];
		if(!SG) {
			printf("-1 -1 -1\n");
			printf("0\n"); continue;
		}
		int ans = 0, flag = 0;
		rep(i, 1, n) rep(j, i + 1, n) rep(k, j, n)
			if((SG ^ sg[i] ^ sg[j] ^ sg[k]) == 0) {
				if(!flag) { printf("%d %d %d\n", i - 1, j - 1, k - 1); flag = 1; }
				ans ++;
			}
		printf("%d\n", ans);
	}
	return 0;
}
posted @ 2018-12-20 20:18  remoon  阅读(144)  评论(0编辑  收藏  举报