oj.uz

Submission #565190

# Submission time Handle Problem Language Result Execution time Memory
565190 2022-05-20T12:30:10 Z errorgorn Fences (JOI18_fences) C++17
51 / 100
 976 ms 2020 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define ii pair<int,int>
#define fi first
#define se second

#define puf push_front
#define pof pop_front
#define pub push_back
#define pob pop_back
#define lb lower_bound
#define ub upper_bound

#define rep(x,s,e) for (int x=(s)-((s)>(e));x!=(e)-((s)>(e));((s)<(e))?x++:x--)
#define all(x) (x).begin(),(x).end()
#define sz(x) (int) (x).size()

mt19937 rng(chrono::system_clock::now().time_since_epoch().count());

const double EPS=1e-6;
const double TAU=acos(0)*4;

struct vec{
	double x,y;
};

vec add(vec i,vec j){
	return {i.x+j.x,i.y+j.y};
}

vec sub(vec i,vec j){
	return {i.x-j.x,i.y-j.y};
};

vec mul(double lambda,vec i){
	return {i.x*lambda,i.y*lambda};
};

double dist(vec i,vec j){
	double dx=i.x-j.x;
	double dy=i.y-j.y;
	return sqrt(dx*dx+dy*dy);
}

int n;
double k;
int arr[110][4];

vector<vec> p; //stores all points
vector<double> angle;

double diff(double i,double j){
	double res=i-j;
	while (res<-TAU/2) res+=TAU;
	while (res>TAU/2) res-=TAU;
	return res;
}

int count(double i){
	return floor(i/TAU+0.5);
}

#define id pair<int,double>
#define dii pair<double,ii>
double w[10005][5];
vector<id> al[10005];

priority_queue<dii,vector<dii>,greater<dii> > pq;

bool inter(vec i,vec j,vec a,vec b){
	//i.x + j.x*L1 = a.x + b.x*L2
	//i.y + j.y*L1 = a.y + b.y*L2
	
	//j.x * L1 - b.x * L2 = a.x - i.x
	//j.y * L1 - b.y * L2 = a.y - i.y
	
	//check that L1,L2 in [0,1]
	
	vector<double> v = {
		a.x - i.x,
		a.y - i.y
	};
	
	vector<vector<double> > mat = {
		{j.x,-b.x},
		{j.y,-b.y}
	};
	
	double det=mat[0][0]*mat[1][1]-mat[0][1]*mat[1][0];
	if (abs(det)<=1e-9) return false;
	
	vector<vector<double> > imat = {
		{mat[1][1],-mat[0][1]},
		{-mat[1][0],mat[0][0]}
	};
	rep(x,0,2) rep(y,0,2) imat[x][y]/=det;
	
	rep(x,0,2){
		double res=0;
		rep(y,0,2){
			res+=imat[x][y]*v[y];
		}
		if (res<0 || 1<res) return false;
	}
	return true;
}

bool ok(vec i,vec j){
	vector<vec> v={  {-k+2*EPS,-k+EPS},{-k+EPS,k-2*EPS},{k-2*EPS,k-EPS},{k-EPS,-k+2*EPS} };
	vector<vec> v2={ {-k+2*EPS,k-EPS},{k-EPS,k-2*EPS},{k-2*EPS,-k+EPS},{-k+EPS,-k+2*EPS} };
	
	rep(x,0,4){
		if (inter(i,sub(j,i),v[x],sub(v2[x],v[x]))) return false;
	}
	return true;
}

signed main(){
	cin.tie(0);
	cout.tie(0);
	cin.sync_with_stdio(false);
	
	cin>>n>>k;
	rep(x,0,n) rep(y,0,4) cin>>arr[x][y];
	rep(x,0,4) rep(y,0,4){
		if (x==3 || (x && (x+y)%2==0)) arr[n+x][y]=-k;
		else arr[n+x][y]=k;
	}
	n+=4;
	
	//rep(x,0,n){
		//rep(y,0,4) cout<<arr[x][y]<<" "; cout<<endl;
	//}
	
	rep(x,0,n) p.pub({(double)arr[x][0],(double)arr[x][1]});
	rep(x,0,n) p.pub({(double)arr[x][2],(double)arr[x][3]});
	rep(x,0,n){
		al[x].pub({x+n,0});
		al[x+n].pub({x,0});
	}
	
	double ans=8*k;
	
	rep(x,0,n) rep(y,x+1,n){
		vec temp[4];
		vec temp2[4];
		
		double best=1e18;
		int idx=-1;
		
		rep(z,0,4){
			if (z>=2) swap(x,y);
			
			if (z%2==0) temp2[z]=p[x];
			else temp2[z]=p[x+n];
			
			vec base=p[y];
			vec dir=sub(p[y+n],p[y]);
			
			double lo=0,hi=1;
			rep(x,0,150){
				double mi1=lo+(hi-lo)/3,mi2=lo+2*(hi-lo)/3;
				
				if (dist(add(base,mul(mi1,dir)),temp2[z])<dist(add(base,mul(mi2,dir)),temp2[z])){
					hi=mi2;
				}
				else{
					lo=mi1;
				}
			}
			
			temp[z]=add(base,mul(lo,dir));
			double curr=dist(temp2[z],temp[z]);
			if (curr<best){
				best=curr;
				idx=z;
			}
			
			if (z>=2) swap(x,y);
		}
		
		if (ok(temp[idx],temp2[idx])){
			//cout<<x<<" "<<y<<" "<<best<<" "<<idx<<endl;
			//cout<<temp[idx].x<<" "<<temp[idx].y<<endl;
			//cout<<temp2[idx].x<<" "<<temp2[idx].y<<endl;
			//rep(z,0,4) cout<<arr[x][z]<<" "; cout<<endl;
			//rep(z,0,4) cout<<arr[y][z]<<" "; cout<<endl;
			//cout<<endl;
			
			//cout<<"cunny"<<endl;
			int IDX1=sz(p),IDX2;
			p.pub(temp[idx]);
			
			if (idx==0) IDX2=x;
			if (idx==1) IDX2=x+n;
			if (idx==2) IDX2=y;
			if (idx==3) IDX2=y+n;
			
			//cout<<temp2[idx].x<<" "<<temp2[idx].y<<endl;
			//cout<<p[IDX2].x<<" "<<p[IDX2].y<<endl;
			
			al[IDX1].pub({IDX2,best});
			al[IDX2].pub({IDX1,best});
			
			if (idx<2) IDX2=y;
			else IDX2=x;
			al[IDX1].pub({IDX2,0});
			al[IDX2].pub({IDX1,0});
		}
	}
	
	rep(x,0,sz(p)){
		angle.pub(atan2(p[x].x,p[x].y)+TAU/2);
		//cout<<x<<" "<<p[x].x<<" "<<p[x].y<<" "<<angle[x]<<endl;
	}
	
	rep(x,0,n){
		rep(y,0,sz(p)) rep(z,0,5) w[y][z]=1e18;
		
		w[x][2]=0;
		pq.push({w[x][2],ii(x,2)});
		
		while (!pq.empty()){
			double weight;
			ii u;
			tie(weight,u)=pq.top(),pq.pop();
			if (w[u.fi][u.se]!=weight) continue;
			
			double angle1=diff(angle[x],angle[u.fi])+TAU*u.se;
			
			for (auto [it,w2]:al[u.fi]){
				int it2=count(angle1+diff(angle[u.fi],angle[it])-diff(angle[x],angle[it]));
				if (it2<0 || 4<it2) continue;
				if (w[it][it2]>weight+w2){
					w[it][it2]=weight+w2;
					pq.push({w[it][it2],ii(it,it2)});
				}
			}
		}
		
		//cout<<x<<" "<<w[x][3]<<endl;
		ans=min(ans,w[x][3]);
	}
	
	cout<<fixed<<setprecision(12)<<ans<<endl;
}

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 2 ms 468 KB Output is correct
23 Correct 2 ms 468 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 2 ms 468 KB Output is correct
27 Correct 2 ms 468 KB Output is correct
28 Correct 2 ms 468 KB Output is correct
29 Correct 2 ms 468 KB Output is correct
30 Correct 2 ms 468 KB Output is correct
31 Correct 2 ms 468 KB Output is correct
32 Correct 2 ms 468 KB Output is correct
33 Correct 2 ms 468 KB Output is correct
34 Correct 2 ms 468 KB Output is correct
35 Correct 2 ms 468 KB Output is correct
36 Correct 2 ms 468 KB Output is correct
37 Correct 2 ms 468 KB Output is correct
38 Correct 1 ms 468 KB Output is correct
39 Correct 2 ms 468 KB Output is correct
40 Correct 1 ms 468 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 468 KB Output is correct
43 Correct 1 ms 468 KB Output is correct

Subtask #3
0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 2 ms 468 KB Output is correct
23 Correct 2 ms 468 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 2 ms 468 KB Output is correct
27 Correct 2 ms 468 KB Output is correct
28 Correct 2 ms 468 KB Output is correct
29 Correct 2 ms 468 KB Output is correct
30 Correct 2 ms 468 KB Output is correct
31 Correct 2 ms 468 KB Output is correct
32 Correct 2 ms 468 KB Output is correct
33 Correct 2 ms 468 KB Output is correct
34 Correct 2 ms 468 KB Output is correct
35 Correct 2 ms 468 KB Output is correct
36 Correct 2 ms 468 KB Output is correct
37 Correct 2 ms 468 KB Output is correct
38 Correct 1 ms 468 KB Output is correct
39 Correct 2 ms 468 KB Output is correct
40 Correct 1 ms 468 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 468 KB Output is correct
43 Correct 1 ms 468 KB Output is correct
44 Correct 976 ms 1948 KB Output is correct
45 Correct 858 ms 1832 KB Output is correct
46 Correct 662 ms 1392 KB Output is correct
47 Correct 513 ms 1228 KB Output is correct
48 Correct 970 ms 2012 KB Output is correct
49 Correct 894 ms 1856 KB Output is correct
50 Correct 634 ms 1380 KB Output is correct
51 Correct 496 ms 1124 KB Output is correct
52 Correct 637 ms 1384 KB Output is correct
53 Correct 602 ms 1376 KB Output is correct
54 Correct 643 ms 1376 KB Output is correct
55 Correct 726 ms 1668 KB Output is correct
56 Correct 756 ms 1784 KB Output is correct
57 Correct 593 ms 1308 KB Output is correct
58 Correct 650 ms 1388 KB Output is correct
59 Correct 716 ms 1536 KB Output is correct
60 Correct 678 ms 1408 KB Output is correct
61 Correct 792 ms 1672 KB Output is correct
62 Correct 4 ms 468 KB Output is correct
63 Correct 4 ms 468 KB Output is correct
64 Correct 617 ms 1468 KB Output is correct
65 Correct 688 ms 1316 KB Output is correct
66 Correct 501 ms 1028 KB Output is correct
67 Incorrect 908 ms 2020 KB Output isn't correct
68 Halted 0 ms 0 KB -