답안 #256965

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
256965	2020-08-03T13:16:37 Z	easrui	Mixture (BOI20_mixture)	C++17	100 / 100	1048 ms	24312 KB

Mixture

#include <bits/stdc++.h>
#define PI 3.1415926535
using namespace std;
typedef long long ll;

const int MN = 1e5+5;

ll gcd(ll a, ll b)
{
	a = abs(a);
	b = abs(b);
	if(a<b) swap(a,b);
	if(a==0) return 1;
	if(b==0) return a;
	return gcd(b,a%b);
}

double getA(double x, double y, double z)
{
	if(!x&&!y&&!z) return -1;
	//x /= 10000.0, y /= 10000.0, z /= 10000.0;
	double a = (x-y/2.0-z/2.0)/sqrt(x*x+y*y+z*z)/sqrt(1.5);
	if(a>1) a = 1;
	if(a<-1) a = -1;
	a = acos(a);
	if(y<z) a = 2*PI-a;
	return a;
}

struct point
{
	ll x,y,z;
	bool operator < (const point& p) const { return getA(x,y,z)<getA(p.x,p.y,p.z); }
};

double getA(point p)
{
	return getA(p.x,p.y,p.z);
}

point inv(point p)
{
	return point{-p.x,-p.y,-p.z};
}

map<point,int> m;
set<point> s;

bool solve()
{
	if(s.empty()) return 0;
	auto it = s.begin();

	if(getA(*it)>PI) return 0;
	it = s.lower_bound(inv(*it));

	if(it==s.end()) return 0;
	double hi = getA(*it);

	it--;

	if(it==s.begin()) return 0;
	double lo = getA(*it);

	return hi-lo<=PI;
}

int main()
{
    ios_base::sync_with_stdio(0),cin.tie(0);
    
    ll X,Y,Z,T;
    cin >> X >> Y >> Z;
    T = X+Y+Z;

    int N;
    cin >> N;
    
    int num = 0;
    ll cnt = 0;
    vector<point> p(N+1);
    vector<double> a(N+1);

    p[0] = point{0,0,0}; 
    while(N--){
    	char C;
    	cin >> C;

    	ll x,y,z,t,g;
    	if(C=='A'){
    		cin >> x >> y >> z;
    		t = x+y+z;
			x = x*T-X*t, y = y*T-Y*t, z = z*T-Z*t;
			g = gcd(gcd(x,y),z);
			x /= g, y /= g, z /= g;
    		p[++num] = point{x,y,z};
    		//if(N==6952) cout << x << ' ' << y << ' ' << z << ' ';
    		m[p[num]]++;
    		//cout << m[p[0]] << '\n';
    		s.insert(p[num]);
    		if(x||y||z){
    			cnt += m[inv(p[num])];
    		}
    	}
    	if(C=='R'){
    		cin >> t;
    		m[p[t]]--;
    		if(!m[p[t]]) s.erase(p[t]);
    		if(p[t].x||p[t].y||p[t].z){
    			cnt -= m[inv(p[t])];
    		}
    	}
     	if(m[p[0]]){
    		cout << 1 << '\n';
    	}
    	else if(cnt){
    		cout << 2 << '\n';
    	}
    	else if(solve()){
    		cout << 3 << '\n';
    	}
    	else{
    		cout << 0 << '\n';
    	}
    }
}

Subtask #1
13.0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	384 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	0 ms	384 KB	Output is correct
4	Correct	1 ms	256 KB	Output is correct
5	Correct	0 ms	384 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	384 KB	Output is correct
9	Correct	0 ms	384 KB	Output is correct
10	Correct	0 ms	384 KB	Output is correct
11	Correct	0 ms	384 KB	Output is correct
12	Correct	1 ms	384 KB	Output is correct
13	Correct	0 ms	384 KB	Output is correct
14	Correct	0 ms	384 KB	Output is correct
15	Correct	1 ms	384 KB	Output is correct
16	Correct	0 ms	384 KB	Output is correct
17	Correct	1 ms	384 KB	Output is correct
18	Correct	0 ms	384 KB	Output is correct
19	Correct	0 ms	384 KB	Output is correct

Subtask #2
17.0 / 17.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	384 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	0 ms	384 KB	Output is correct
4	Correct	1 ms	256 KB	Output is correct
5	Correct	0 ms	384 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	384 KB	Output is correct
9	Correct	0 ms	384 KB	Output is correct
10	Correct	0 ms	384 KB	Output is correct
11	Correct	0 ms	384 KB	Output is correct
12	Correct	1 ms	384 KB	Output is correct
13	Correct	0 ms	384 KB	Output is correct
14	Correct	0 ms	384 KB	Output is correct
15	Correct	1 ms	384 KB	Output is correct
16	Correct	0 ms	384 KB	Output is correct
17	Correct	1 ms	384 KB	Output is correct
18	Correct	0 ms	384 KB	Output is correct
19	Correct	0 ms	384 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	0 ms	384 KB	Output is correct
22	Correct	1 ms	384 KB	Output is correct
23	Correct	2 ms	384 KB	Output is correct
24	Correct	0 ms	384 KB	Output is correct
25	Correct	2 ms	384 KB	Output is correct
26	Correct	1 ms	384 KB	Output is correct
27	Correct	2 ms	512 KB	Output is correct
28	Correct	2 ms	384 KB	Output is correct
29	Correct	2 ms	384 KB	Output is correct
30	Correct	2 ms	384 KB	Output is correct
31	Correct	1 ms	384 KB	Output is correct
32	Correct	3 ms	384 KB	Output is correct
33	Correct	1 ms	384 KB	Output is correct
34	Correct	3 ms	384 KB	Output is correct
35	Correct	2 ms	384 KB	Output is correct
36	Correct	2 ms	384 KB	Output is correct

Subtask #3
30.0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	384 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	0 ms	384 KB	Output is correct
4	Correct	1 ms	256 KB	Output is correct
5	Correct	0 ms	384 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	384 KB	Output is correct
9	Correct	0 ms	384 KB	Output is correct
10	Correct	0 ms	384 KB	Output is correct
11	Correct	0 ms	384 KB	Output is correct
12	Correct	1 ms	384 KB	Output is correct
13	Correct	0 ms	384 KB	Output is correct
14	Correct	0 ms	384 KB	Output is correct
15	Correct	1 ms	384 KB	Output is correct
16	Correct	0 ms	384 KB	Output is correct
17	Correct	1 ms	384 KB	Output is correct
18	Correct	0 ms	384 KB	Output is correct
19	Correct	0 ms	384 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	0 ms	384 KB	Output is correct
22	Correct	1 ms	384 KB	Output is correct
23	Correct	2 ms	384 KB	Output is correct
24	Correct	0 ms	384 KB	Output is correct
25	Correct	2 ms	384 KB	Output is correct
26	Correct	1 ms	384 KB	Output is correct
27	Correct	2 ms	512 KB	Output is correct
28	Correct	2 ms	384 KB	Output is correct
29	Correct	2 ms	384 KB	Output is correct
30	Correct	2 ms	384 KB	Output is correct
31	Correct	1 ms	384 KB	Output is correct
32	Correct	3 ms	384 KB	Output is correct
33	Correct	1 ms	384 KB	Output is correct
34	Correct	3 ms	384 KB	Output is correct
35	Correct	2 ms	384 KB	Output is correct
36	Correct	2 ms	384 KB	Output is correct
37	Correct	4 ms	512 KB	Output is correct
38	Correct	4 ms	384 KB	Output is correct
39	Correct	5 ms	512 KB	Output is correct
40	Correct	5 ms	512 KB	Output is correct
41	Correct	5 ms	512 KB	Output is correct
42	Correct	5 ms	512 KB	Output is correct
43	Correct	6 ms	512 KB	Output is correct
44	Correct	6 ms	512 KB	Output is correct
45	Correct	6 ms	512 KB	Output is correct
46	Correct	17 ms	896 KB	Output is correct
47	Correct	22 ms	896 KB	Output is correct
48	Correct	11 ms	512 KB	Output is correct
49	Correct	13 ms	512 KB	Output is correct
50	Correct	13 ms	512 KB	Output is correct
51	Correct	35 ms	1024 KB	Output is correct
52	Correct	18 ms	640 KB	Output is correct
53	Correct	29 ms	1016 KB	Output is correct
54	Correct	24 ms	1016 KB	Output is correct
55	Correct	3 ms	512 KB	Output is correct
56	Correct	3 ms	512 KB	Output is correct

Subtask #4
40.0 / 40.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	384 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	0 ms	384 KB	Output is correct
4	Correct	1 ms	256 KB	Output is correct
5	Correct	0 ms	384 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	384 KB	Output is correct
9	Correct	0 ms	384 KB	Output is correct
10	Correct	0 ms	384 KB	Output is correct
11	Correct	0 ms	384 KB	Output is correct
12	Correct	1 ms	384 KB	Output is correct
13	Correct	0 ms	384 KB	Output is correct
14	Correct	0 ms	384 KB	Output is correct
15	Correct	1 ms	384 KB	Output is correct
16	Correct	0 ms	384 KB	Output is correct
17	Correct	1 ms	384 KB	Output is correct
18	Correct	0 ms	384 KB	Output is correct
19	Correct	0 ms	384 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	0 ms	384 KB	Output is correct
22	Correct	1 ms	384 KB	Output is correct
23	Correct	2 ms	384 KB	Output is correct
24	Correct	0 ms	384 KB	Output is correct
25	Correct	2 ms	384 KB	Output is correct
26	Correct	1 ms	384 KB	Output is correct
27	Correct	2 ms	512 KB	Output is correct
28	Correct	2 ms	384 KB	Output is correct
29	Correct	2 ms	384 KB	Output is correct
30	Correct	2 ms	384 KB	Output is correct
31	Correct	1 ms	384 KB	Output is correct
32	Correct	3 ms	384 KB	Output is correct
33	Correct	1 ms	384 KB	Output is correct
34	Correct	3 ms	384 KB	Output is correct
35	Correct	2 ms	384 KB	Output is correct
36	Correct	2 ms	384 KB	Output is correct
37	Correct	4 ms	512 KB	Output is correct
38	Correct	4 ms	384 KB	Output is correct
39	Correct	5 ms	512 KB	Output is correct
40	Correct	5 ms	512 KB	Output is correct
41	Correct	5 ms	512 KB	Output is correct
42	Correct	5 ms	512 KB	Output is correct
43	Correct	6 ms	512 KB	Output is correct
44	Correct	6 ms	512 KB	Output is correct
45	Correct	6 ms	512 KB	Output is correct
46	Correct	17 ms	896 KB	Output is correct
47	Correct	22 ms	896 KB	Output is correct
48	Correct	11 ms	512 KB	Output is correct
49	Correct	13 ms	512 KB	Output is correct
50	Correct	13 ms	512 KB	Output is correct
51	Correct	35 ms	1024 KB	Output is correct
52	Correct	18 ms	640 KB	Output is correct
53	Correct	29 ms	1016 KB	Output is correct
54	Correct	24 ms	1016 KB	Output is correct
55	Correct	3 ms	512 KB	Output is correct
56	Correct	3 ms	512 KB	Output is correct
57	Correct	10 ms	640 KB	Output is correct
58	Correct	52 ms	1420 KB	Output is correct
59	Correct	58 ms	1400 KB	Output is correct
60	Correct	40 ms	1272 KB	Output is correct
61	Correct	46 ms	1408 KB	Output is correct
62	Correct	51 ms	1408 KB	Output is correct
63	Correct	864 ms	16892 KB	Output is correct
64	Correct	868 ms	16876 KB	Output is correct
65	Correct	859 ms	14588 KB	Output is correct
66	Correct	964 ms	14712 KB	Output is correct
67	Correct	1 ms	384 KB	Output is correct
68	Correct	0 ms	384 KB	Output is correct
69	Correct	1048 ms	24312 KB	Output is correct
70	Correct	952 ms	19704 KB	Output is correct
71	Correct	960 ms	19704 KB	Output is correct
72	Correct	699 ms	15368 KB	Output is correct
73	Correct	940 ms	17528 KB	Output is correct

답안 #256965

Compilation message

Subtask #1 13.0 / 13.0

Subtask #2 17.0 / 17.0

Subtask #3 30.0 / 30.0

Subtask #4 40.0 / 40.0

Subtask #1
13.0 / 13.0

Subtask #2
17.0 / 17.0

Subtask #3
30.0 / 30.0

Subtask #4
40.0 / 40.0