답안 #826679

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
826679	2023-08-15T20:02:35 Z	QwertyPi	Mixture (BOI20_mixture)	C++14	60 / 100	2000 ms	16824 KB

Mixture

#include <bits/stdc++.h>
#define int long long
using namespace std;

struct V3d{
	int x, y, z;
	void norm(){
		int g = __gcd(__gcd(x, y), z); g = abs(g);
		if(g != 0) x /= g, y /= g, z /= g;
	}
	bool operator< (const V3d o) const {
		if(x != o.x) return x < o.x;
		if(y != o.y) return y < o.y;
		if(z != o.z) return z < o.z;
		return 0;
	}
};

int dot(V3d a, V3d b){
	return a.x * b.x + a.y * b.y + a.z * b.z;
}

__int128_t dot128(V3d a, V3d b){
	return (__int128_t) a.x * b.x + (__int128_t) a.y * b.y + (__int128_t) a.z * b.z;
}

long double triple(V3d a, V3d b, V3d c){
	long double r = 0;
	r += (long double) a.x * b.y * c.z;
	r += (long double) a.z * b.x * c.y;
	r += (long double) a.y * b.z * c.x;
	r -= (long double) a.x * b.z * c.y;
	r -= (long double) a.y * b.x * c.z;
	r -= (long double) a.z * b.y * c.x;
	return r;
}

V3d operator* (V3d a, int n){
	return {a.x * n, a.y * n, a.z * n};
}

V3d operator- (V3d a, V3d b){
	return {a.x - b.x, a.y - b.y, a.z - b.z};
}

V3d operator- (V3d b){
	return {-b.x, -b.y, -b.z};
}

V3d vds[100011]; int ai = 0;
V3d f;

long double deg(V3d a, V3d b){
	__int128_t p = dot128(a, b);
	long double q = sqrt((long double) dot128(a, a)) * sqrt((long double) dot128(b, b));
	return acos(min(1.0L, (long double) p / q)) * (triple(f, a, b) > 0 ? 1 : -1);
}

const long double PI = 3.1415926535;

struct Angle{
	bool init = false;
	multiset<long double> S;
	void add(long double d){
		S.insert(d);
	}
	void rem(long double d){
		S.erase(S.find(d));
	}
	bool qry(){
		if(!init) return false;
		if(S.size() < 3) return false;
		uniform_real_distribution<long double> dist(-PI, PI);
		random_device rd;
		for(int tr = 0; tr < 100; tr++){
			long double d = dist(rd);
			auto ptr = S.lower_bound(d);
			if(ptr != S.begin() && ptr != S.end()){
				long double diff = *ptr - *prev(ptr);
				if(diff > PI) return false;
			}else{
				long double diff = *S.begin() + PI * 2 - *prev(S.end());
				if(diff > PI) return false;
			}
		}
		return true;
	}
} Solver;

struct Handle{
	int c1 = 0, c2 = 0; map<V3d, int> cnt;
	V3d o;
	void add(V3d a){
		a.norm();
		if(a.x == 0 && a.y == 0 && a.z == 0) { c1++; return; }
		if(!Solver.init){
			Solver.init = true;
			o = a; Solver.add(deg(o, a));
		}else{
			Solver.add(deg(o, a));
		}
		cnt[a]++; if(cnt[a] == 1 && cnt[-a] > 0) c2++;
	}
	void rem(V3d a){
		a.norm();
		if(a.x == 0 && a.y == 0 && a.z == 0) { c1--; return; }
		Solver.rem(deg(o, a));
		cnt[a]--; if(cnt[a] == 0 && cnt[-a] > 0) c2--;
	}
	int qry(){
		if(c1 > 0) return 1;
		if(c2 > 0) return 2;
		if(Solver.qry()) return 3;
		return 0;
	}
} handle;

int32_t main(){
	int x, y, z; cin >> x >> y >> z; f = V3d {x, y, z};
	int n; cin >> n;
	for(int i = 0; i < n; i++){
		char c; cin >> c;
		if(c == 'A'){
			int x, y, z; cin >> x >> y >> z;
			V3d a {x, y, z};
			vds[++ai] = a * dot(f, f) - f * dot(a, f);
			handle.add(vds[ai]);
		}else{
			int x; cin >> x;
			handle.rem(vds[x]);
		}
		cout << handle.qry() << endl;
	}
}

Subtask #1
13.0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	312 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	2 ms	212 KB	Output is correct
7	Correct	1 ms	312 KB	Output is correct
8	Correct	1 ms	308 KB	Output is correct
9	Correct	0 ms	308 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	1 ms	212 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	0 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	1 ms	212 KB	Output is correct
17	Correct	1 ms	212 KB	Output is correct
18	Correct	1 ms	212 KB	Output is correct
19	Correct	1 ms	212 KB	Output is correct

Subtask #2
17.0 / 17.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	312 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	2 ms	212 KB	Output is correct
7	Correct	1 ms	312 KB	Output is correct
8	Correct	1 ms	308 KB	Output is correct
9	Correct	0 ms	308 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	1 ms	212 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	0 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	1 ms	212 KB	Output is correct
17	Correct	1 ms	212 KB	Output is correct
18	Correct	1 ms	212 KB	Output is correct
19	Correct	1 ms	212 KB	Output is correct
20	Correct	1 ms	212 KB	Output is correct
21	Correct	1 ms	212 KB	Output is correct
22	Correct	3 ms	212 KB	Output is correct
23	Correct	2 ms	340 KB	Output is correct
24	Correct	1 ms	212 KB	Output is correct
25	Correct	2 ms	340 KB	Output is correct
26	Correct	1 ms	340 KB	Output is correct
27	Correct	17 ms	340 KB	Output is correct
28	Correct	3 ms	340 KB	Output is correct
29	Correct	2 ms	340 KB	Output is correct
30	Correct	2 ms	312 KB	Output is correct
31	Correct	1 ms	212 KB	Output is correct
32	Correct	33 ms	356 KB	Output is correct
33	Correct	2 ms	212 KB	Output is correct
34	Correct	28 ms	412 KB	Output is correct
35	Correct	2 ms	324 KB	Output is correct
36	Correct	36 ms	348 KB	Output is correct

Subtask #3
30.0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	312 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	2 ms	212 KB	Output is correct
7	Correct	1 ms	312 KB	Output is correct
8	Correct	1 ms	308 KB	Output is correct
9	Correct	0 ms	308 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	1 ms	212 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	0 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	1 ms	212 KB	Output is correct
17	Correct	1 ms	212 KB	Output is correct
18	Correct	1 ms	212 KB	Output is correct
19	Correct	1 ms	212 KB	Output is correct
20	Correct	1 ms	212 KB	Output is correct
21	Correct	1 ms	212 KB	Output is correct
22	Correct	3 ms	212 KB	Output is correct
23	Correct	2 ms	340 KB	Output is correct
24	Correct	1 ms	212 KB	Output is correct
25	Correct	2 ms	340 KB	Output is correct
26	Correct	1 ms	340 KB	Output is correct
27	Correct	17 ms	340 KB	Output is correct
28	Correct	3 ms	340 KB	Output is correct
29	Correct	2 ms	340 KB	Output is correct
30	Correct	2 ms	312 KB	Output is correct
31	Correct	1 ms	212 KB	Output is correct
32	Correct	33 ms	356 KB	Output is correct
33	Correct	2 ms	212 KB	Output is correct
34	Correct	28 ms	412 KB	Output is correct
35	Correct	2 ms	324 KB	Output is correct
36	Correct	36 ms	348 KB	Output is correct
37	Correct	26 ms	360 KB	Output is correct
38	Correct	5 ms	376 KB	Output is correct
39	Correct	32 ms	428 KB	Output is correct
40	Correct	110 ms	384 KB	Output is correct
41	Correct	104 ms	448 KB	Output is correct
42	Correct	101 ms	436 KB	Output is correct
43	Correct	87 ms	488 KB	Output is correct
44	Correct	89 ms	424 KB	Output is correct
45	Correct	79 ms	392 KB	Output is correct
46	Correct	39 ms	752 KB	Output is correct
47	Correct	315 ms	832 KB	Output is correct
48	Correct	127 ms	368 KB	Output is correct
49	Correct	300 ms	388 KB	Output is correct
50	Correct	254 ms	380 KB	Output is correct
51	Correct	448 ms	944 KB	Output is correct
52	Correct	50 ms	716 KB	Output is correct
53	Correct	33 ms	956 KB	Output is correct
54	Correct	636 ms	904 KB	Output is correct
55	Correct	9 ms	468 KB	Output is correct
56	Correct	10 ms	428 KB	Output is correct

Subtask #4
0 / 40.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	312 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	2 ms	212 KB	Output is correct
7	Correct	1 ms	312 KB	Output is correct
8	Correct	1 ms	308 KB	Output is correct
9	Correct	0 ms	308 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	1 ms	212 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	0 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	1 ms	212 KB	Output is correct
17	Correct	1 ms	212 KB	Output is correct
18	Correct	1 ms	212 KB	Output is correct
19	Correct	1 ms	212 KB	Output is correct
20	Correct	1 ms	212 KB	Output is correct
21	Correct	1 ms	212 KB	Output is correct
22	Correct	3 ms	212 KB	Output is correct
23	Correct	2 ms	340 KB	Output is correct
24	Correct	1 ms	212 KB	Output is correct
25	Correct	2 ms	340 KB	Output is correct
26	Correct	1 ms	340 KB	Output is correct
27	Correct	17 ms	340 KB	Output is correct
28	Correct	3 ms	340 KB	Output is correct
29	Correct	2 ms	340 KB	Output is correct
30	Correct	2 ms	312 KB	Output is correct
31	Correct	1 ms	212 KB	Output is correct
32	Correct	33 ms	356 KB	Output is correct
33	Correct	2 ms	212 KB	Output is correct
34	Correct	28 ms	412 KB	Output is correct
35	Correct	2 ms	324 KB	Output is correct
36	Correct	36 ms	348 KB	Output is correct
37	Correct	26 ms	360 KB	Output is correct
38	Correct	5 ms	376 KB	Output is correct
39	Correct	32 ms	428 KB	Output is correct
40	Correct	110 ms	384 KB	Output is correct
41	Correct	104 ms	448 KB	Output is correct
42	Correct	101 ms	436 KB	Output is correct
43	Correct	87 ms	488 KB	Output is correct
44	Correct	89 ms	424 KB	Output is correct
45	Correct	79 ms	392 KB	Output is correct
46	Correct	39 ms	752 KB	Output is correct
47	Correct	315 ms	832 KB	Output is correct
48	Correct	127 ms	368 KB	Output is correct
49	Correct	300 ms	388 KB	Output is correct
50	Correct	254 ms	380 KB	Output is correct
51	Correct	448 ms	944 KB	Output is correct
52	Correct	50 ms	716 KB	Output is correct
53	Correct	33 ms	956 KB	Output is correct
54	Correct	636 ms	904 KB	Output is correct
55	Correct	9 ms	468 KB	Output is correct
56	Correct	10 ms	428 KB	Output is correct
57	Correct	16 ms	596 KB	Output is correct
58	Correct	881 ms	1392 KB	Output is correct
59	Correct	875 ms	1140 KB	Output is correct
60	Correct	17 ms	1108 KB	Output is correct
61	Correct	46 ms	2128 KB	Output is correct
62	Correct	1177 ms	2112 KB	Output is correct
63	Correct	765 ms	16824 KB	Output is correct
64	Execution timed out	2045 ms	3668 KB	Time limit exceeded
65	Halted	0 ms	0 KB	-

답안 #826679

Compilation message

Subtask #1 13.0 / 13.0

Subtask #2 17.0 / 17.0

Subtask #3 30.0 / 30.0

Subtask #4 0 / 40.0

Subtask #1
13.0 / 13.0

Subtask #2
17.0 / 17.0

Subtask #3
30.0 / 30.0

Subtask #4
0 / 40.0