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Submission #256965

# Submission time Handle Problem Language Result Execution time Memory
256965 2020-08-03T13:16:37 Z easrui Mixture (BOI20_mixture) C++17
100 / 100
 1048 ms 24312 KB 
#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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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