oj.uz

Submission #826682

# Submission time Handle Problem Language Result Execution time Memory
826682 2023-08-15T20:05:53 Z QwertyPi Mixture (BOI20_mixture) C++14
60 / 100
 2000 ms 15052 KB 
#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;
		long double diff = *S.begin() + PI * 2 - *prev(S.end());
		if(diff > PI) return false;
		for(int tr = 0; tr < 30; 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;
			}
		}
		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(){
	cin.tie(0); cout.tie(0)->sync_with_stdio(false);
	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() << '\n';
	}
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory 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 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory 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 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 6 ms 360 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 11 ms 372 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 9 ms 408 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 12 ms 340 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory 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 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 6 ms 360 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 11 ms 372 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 9 ms 408 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 12 ms 340 KB Output is correct
37 Correct 9 ms 340 KB Output is correct
38 Correct 4 ms 340 KB Output is correct
39 Correct 11 ms 352 KB Output is correct
40 Correct 33 ms 456 KB Output is correct
41 Correct 34 ms 340 KB Output is correct
42 Correct 33 ms 440 KB Output is correct
43 Correct 28 ms 496 KB Output is correct
44 Correct 28 ms 416 KB Output is correct
45 Correct 25 ms 408 KB Output is correct
46 Correct 14 ms 724 KB Output is correct
47 Correct 98 ms 748 KB Output is correct
48 Correct 41 ms 352 KB Output is correct
49 Correct 95 ms 356 KB Output is correct
50 Correct 79 ms 368 KB Output is correct
51 Correct 144 ms 884 KB Output is correct
52 Correct 17 ms 596 KB Output is correct
53 Correct 18 ms 888 KB Output is correct
54 Correct 201 ms 848 KB Output is correct
55 Correct 2 ms 468 KB Output is correct
56 Correct 2 ms 468 KB Output is correct

Subtask #4
0 / 40.0

# Verdict Execution time Memory 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 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 6 ms 360 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 11 ms 372 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 9 ms 408 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 12 ms 340 KB Output is correct
37 Correct 9 ms 340 KB Output is correct
38 Correct 4 ms 340 KB Output is correct
39 Correct 11 ms 352 KB Output is correct
40 Correct 33 ms 456 KB Output is correct
41 Correct 34 ms 340 KB Output is correct
42 Correct 33 ms 440 KB Output is correct
43 Correct 28 ms 496 KB Output is correct
44 Correct 28 ms 416 KB Output is correct
45 Correct 25 ms 408 KB Output is correct
46 Correct 14 ms 724 KB Output is correct
47 Correct 98 ms 748 KB Output is correct
48 Correct 41 ms 352 KB Output is correct
49 Correct 95 ms 356 KB Output is correct
50 Correct 79 ms 368 KB Output is correct
51 Correct 144 ms 884 KB Output is correct
52 Correct 17 ms 596 KB Output is correct
53 Correct 18 ms 888 KB Output is correct
54 Correct 201 ms 848 KB Output is correct
55 Correct 2 ms 468 KB Output is correct
56 Correct 2 ms 468 KB Output is correct
57 Correct 4 ms 468 KB Output is correct
58 Correct 282 ms 1072 KB Output is correct
59 Correct 278 ms 1004 KB Output is correct
60 Correct 7 ms 980 KB Output is correct
61 Correct 14 ms 1708 KB Output is correct
62 Correct 380 ms 1740 KB Output is correct
63 Correct 396 ms 15052 KB Output is correct
64 Execution timed out 2045 ms 8756 KB Time limit exceeded
65 Halted 0 ms 0 KB -