oj.uz

Submission #826684

# Submission time Handle Problem Language Result Execution time Memory
826684 2023-08-15T20:12:22 Z QwertyPi Mixture (BOI20_mixture) C++14
100 / 100
 440 ms 22808 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;
		auto ptr = S.lower_bound(*S.begin() + PI);
		if(ptr != S.end() && prev(ptr) == S.begin()) return false;
		ptr--; if(*next(ptr) - *ptr > 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 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 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 0 ms 212 KB Output is correct
13 Correct 1 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 0 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 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 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 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 0 ms 212 KB Output is correct
13 Correct 1 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 0 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 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 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 2 ms 340 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 1 ms 340 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 2 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 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 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 0 ms 212 KB Output is correct
13 Correct 1 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 0 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 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 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 2 ms 340 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 1 ms 340 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 2 ms 340 KB Output is correct
37 Correct 3 ms 340 KB Output is correct
38 Correct 3 ms 340 KB Output is correct
39 Correct 2 ms 468 KB Output is correct
40 Correct 3 ms 468 KB Output is correct
41 Correct 3 ms 468 KB Output is correct
42 Correct 3 ms 468 KB Output is correct
43 Correct 3 ms 468 KB Output is correct
44 Correct 3 ms 468 KB Output is correct
45 Correct 3 ms 392 KB Output is correct
46 Correct 4 ms 724 KB Output is correct
47 Correct 12 ms 820 KB Output is correct
48 Correct 6 ms 340 KB Output is correct
49 Correct 8 ms 340 KB Output is correct
50 Correct 7 ms 340 KB Output is correct
51 Correct 18 ms 852 KB Output is correct
52 Correct 5 ms 596 KB Output is correct
53 Correct 18 ms 912 KB Output is correct
54 Correct 18 ms 924 KB Output is correct
55 Correct 2 ms 460 KB Output is correct
56 Correct 3 ms 468 KB Output is correct

Subtask #4
40.0 / 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 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 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 0 ms 212 KB Output is correct
13 Correct 1 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 0 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 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 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 2 ms 340 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 1 ms 340 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 2 ms 340 KB Output is correct
37 Correct 3 ms 340 KB Output is correct
38 Correct 3 ms 340 KB Output is correct
39 Correct 2 ms 468 KB Output is correct
40 Correct 3 ms 468 KB Output is correct
41 Correct 3 ms 468 KB Output is correct
42 Correct 3 ms 468 KB Output is correct
43 Correct 3 ms 468 KB Output is correct
44 Correct 3 ms 468 KB Output is correct
45 Correct 3 ms 392 KB Output is correct
46 Correct 4 ms 724 KB Output is correct
47 Correct 12 ms 820 KB Output is correct
48 Correct 6 ms 340 KB Output is correct
49 Correct 8 ms 340 KB Output is correct
50 Correct 7 ms 340 KB Output is correct
51 Correct 18 ms 852 KB Output is correct
52 Correct 5 ms 596 KB Output is correct
53 Correct 18 ms 912 KB Output is correct
54 Correct 18 ms 924 KB Output is correct
55 Correct 2 ms 460 KB Output is correct
56 Correct 3 ms 468 KB Output is correct
57 Correct 4 ms 468 KB Output is correct
58 Correct 25 ms 1120 KB Output is correct
59 Correct 25 ms 1108 KB Output is correct
60 Correct 7 ms 980 KB Output is correct
61 Correct 14 ms 1672 KB Output is correct
62 Correct 67 ms 1752 KB Output is correct
63 Correct 420 ms 14924 KB Output is correct
64 Correct 419 ms 15688 KB Output is correct
65 Correct 337 ms 12852 KB Output is correct
66 Correct 397 ms 12876 KB Output is correct
67 Correct 0 ms 212 KB Output is correct
68 Correct 1 ms 332 KB Output is correct
69 Correct 440 ms 22808 KB Output is correct
70 Correct 402 ms 18512 KB Output is correct
71 Correct 404 ms 18440 KB Output is correct
72 Correct 145 ms 15756 KB Output is correct
73 Correct 426 ms 17260 KB Output is correct