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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#633818#9458. Triangulationucup-team3161#TL 209ms85756kbC++204.8kb2024-10-12 16:15:052024-10-13 18:02:11

Judging History

你现在查看的是最新测评结果

  • [2024-10-13 18:02:11]
  • 管理员手动重测本题所有提交记录
  • 测评结果:TL
  • 用时:209ms
  • 内存:85756kb
  • [2024-10-13 17:42:33]
  • hack成功,自动添加数据
  • (/hack/962)
  • [2024-10-13 17:27:13]
  • hack成功,自动添加数据
  • (/hack/961)
  • [2024-10-13 16:59:55]
  • hack成功,自动添加数据
  • (/hack/959)
  • [2024-10-13 16:54:53]
  • hack成功,自动添加数据
  • (/hack/957)
  • [2024-10-12 16:15:09]
  • 评测
  • 测评结果:100
  • 用时:253ms
  • 内存:85960kb
  • [2024-10-12 16:15:05]
  • 提交

answer

#include <bits/stdc++.h>
#define For(i,a,b) for(int i=(a);i<=(b);++i)
#define Rep(i,a,b) for(int i=(a);i>=(b);--i)
#define int long long
using namespace std;

#define maxn 200005 
#define inf 0x3f3f3f3f

#define fi first
#define se second
#define pb push_back
#define mkp make_pair
typedef pair<int,int>pii;
typedef vector<int>vi; 


typedef double db;
const db eps=1e-8,pi=3.14159265358979323846;
int sgn(int x){return x<0?-1:x>0;}
int cmp(int a,int b){return sgn(a-b);}

struct P{
	int x,y,id;
	P(int x=0,int y=0):x(x),y(y){}
	P&operator +=(P o){return x+=o.x,y+=o.y,*this;}
	P&operator -=(P o){return x-=o.x,y-=o.y,*this;}
	P&operator *=(int o){return x*=o,y*=o,*this;}
	P&operator /=(int o){return x/=o,y/=o,*this;}
	friend P operator +(P a,P b){return a+=b;}
	friend P operator -(P a,P b){return a-=b;}
	friend P operator *(P a,int b){return a*=b;}
	friend P operator /(P a,int b){return a/=b;}
	friend bool operator <(P a,P b){return fabs(a.x-b.x)<eps?a.y<b.y:a.x<b.x;}
	friend bool operator ==(P a,P b){return cmp(a.x,b.x)==0 && cmp(a.y,b.y)==0;}
	friend bool operator !=(P a,P b){return !(a==b);}
	friend int operator %(P a,P b){return a.x*b.x+a.y*b.y;} // dot
	friend int operator *(P a,P b){return a.x*b.y-a.y*b.x;} // cross
	
//	P rot(db o){
//		db s=sin(o),c=cos(o),xx=x*c-y*s,yy=x*s+y*c;
//		x=xx,y=yy;return *this;
//	}
	P rot90(){swap(x,y),x=-x;return *this;}
	db ang(){return atan2(y,x);}
	db len(){return sqrt(x*x+y*y);}
	int len2(){return x*x+y*y;}
	
	int half(){return sgn(y)==1||(sgn(y)==0&&sgn(x)>=0);}
//	P unit(){return ((*this))/len();}
	
	void read(){cin>>x>>y;}
	void out(){cout<<"("<<x<<","<<y<<")"<<endl;}
};
bool cmp_dir(P a,P b){
	if(a.half()!=b.half())return a.half()<b.half();
	return sgn(a*b)>0;
}

db dis(P a,P b){return (a-b).len();}
int cross(P a,P b,P c){
	// (a->b)*(a->c)
	return (b.x-a.x)*(c.y-a.y)-(b.y-a.y)*(c.x-a.x);
}
int cmp3(P a,P b,P c){
	return sgn(cross(a,b,c));
}
bool in_tri(P a,P b,P c,P p){
	if(cmp3(a,b,c)<0) swap(b,c);
	return cmp3(a,b,p)>=0 && cmp3(b,c,p)>=0 && cmp3(c,a,p)>=0;
}

int n;
P p[233];

struct node{
    int x,y;
};
node operator +(node a,node b){
    if(a.x==b.x) return (node){a.x,a.y+b.y};
    if(a.x<b.x) return a;
    return b;
}
void operator +=(node&a,node b){
	a=a+b;
}

bool up[20][20][20];
bool hav[20][20][20];
int w[20][20];
node f[1<<18][20];
int rnk[25];

vector<P>convex(vector<P>a){
	int n=a.size(),m=0; if(n<=1)return a;
	sort(a.begin(),a.end());
	vector<P>st(n*2); int tp=0;
	For(i,0,n-1){
		while(tp>1 && cmp3(st[tp-2],st[tp-1],a[i])<=0)--tp;
		st[tp++]=a[i];
	}
	int t=tp;
	Rep(i,n-2,0){
		while(tp>t && cmp3(st[tp-2],st[tp-1],a[i])<=0)--tp;
		st[tp++]=a[i];
	}
	st.resize(tp-1);
	return st;
}

void work()
{
    cin>>n;
    For(i,1,n) cin>>p[i].x>>p[i].y,p[i].id=i;
    sort(p+1,p+n+1);
	For(i,1,n) rnk[p[i].id]=i;
	For(i,1,n) For(j,1,n) {
	//	w[rnk[i]][rnk[j]]=0;
		cin>>w[rnk[i]][rnk[j]];
	}
    For(i,1,n) p[i].id=i;


    For(i,1,n){
        For(j,1,n){
            For(k,1,n) if(k!=i && k!=j && i!=j){
                if(cmp3(p[i],p[j],p[k])>0) {
					up[i][j][k]=1;
				}else{
					up[i][j][k]=0;
				}
				hav[i][j][k]=0;
				For(x,1,n) if(x!=i && x!=j && x!=k){
					if(in_tri(p[i],p[j],p[k],p[x])){
						hav[i][j][k]=1;
					}
				}
            }
        }
    }


	vector<P>aa ;
	For(i,1,n) aa.pb(p[i]);
	aa=convex(aa);
	int S=1|(1<<(n-1));
	int T=S;
	for(auto a:aa){
		if(a.id!=1 && a.id!=n){
			if(up[1][n][a.id]) T|=(1<<(a.id-1));
			else S|=(1<<(a.id-1));
		}
	}

	For(s,0,(1<<n)-1)For(t,0,n)f[s][t]=(node){inf,0};

	int sum=0;
	For(i,1,aa.size()-1){
		sum+=w[aa[i-1].id][aa[i].id];
		if(aa[i].id==n) break;
	}

	f[S][0]=(node){0,1};
	queue< pii >q;
	q.push(mkp(S,0));
	while(q.size()){
		auto [s,lim]=q.front(); q.pop();
		vi o;
		For(i,0,n-1) if(s>>i&1) o.pb(i+1);
	//	for(int x:o) cout<<x<<" "; cout<<" S\n";
	//	cout<<"lim: "<<lim<<"\n";
	//	cout<<"value: "<<f[s][lim].x<<" "<<f[s][lim].y<<"\n";
		int sz=o.size();
		For(i,lim,sz-2){
			int l=o[i],r=o[i+1];
			For(k,l+1,r-1){
				if(up[l][r][k] && !hav[l][r][k]){
					node t=f[s][lim];
					t.x+=w[l][k]+w[k][r];
					int ss=(s|(1<<(k-1)));
					if(f[ss][i].x==inf) q.push(mkp(ss,i));
					f[ss][i]+=t;
				}
			}
			if(!i)continue;
			
			int x=o[i-1],y=o[i],z=o[i+1];
			if(!up[x][z][y] && !hav[x][z][y]) {
			//	cout<<"delete: "<<y<<"\n";
				node t=f[s][lim];
				t.x+=w[x][z];
				int ss=(s^(1<<(y-1)));
				if(f[ss][i-1].x==inf) q.push(mkp(ss,i-1));
				f[ss][i-1]+=t;
			}
		}
	}
	node res=(node){inf+1,0};
	For(i,0,n) res+=f[T][i];
	cout<<res.x+sum<<" "<<res.y<<"\n";
}
signed main()
{
   // freopen("my.out","w",stdout);

    int T;cin>>T;
    while(T--)work();
    return 0;
}
/*
1

5
0 0
0 2
2 0
2 2
1 1



*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3644kb

input:

2
4
0 0
1 1
1 0
0 1
0 1 1 1
1 0 1 1
1 1 0 1
1 1 1 0
4
0 0
3 0
1 3
1 1
0 1 1 1
1 0 1 1
1 1 0 1
1 1 1 0

output:

5 2
6 1

result:

ok 2 lines

Test #2:

score: 0
Accepted
time: 209ms
memory: 85756kb

input:

68
3
454 364
117 336
271 84
0 6 2
6 0 10
2 10 0
4
454 364
117 336
271 84
274 296
0 3 2 10
3 0 6 4
2 6 0 5
10 4 5 0
4
603 817
230 695
230 303
604 183
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
5
454 364
117 336
271 84
274 296
220 225
0 1 7 3 2
1 0 4 4 2
7 4 0 1 5
3 4 1 0 0
2 2 5 0 0
5
666667 788675
333173 78858...

output:

18 1
30 1
0 2
27 1
38 2
35 5
54 1
44 2
18 14
69 1
12 1
88 42
59 1
23 8
180 150
80 1
23 2
0 780
30 12
504 4550
30 4
19656 26888
29 6
26700 168942
24 88
22770 1098904
21 28
30816 7281984
24 27
15327 49789428
24 4
16338 342305320
21 48
42615 2410168190
22 360
44928 17309628327
1240448 1
2613579 1
19532...

result:

ok 68 lines

Extra Test:

score: -3
Extra Test Failed : Time Limit Exceeded on 2

input:

70
18
523990 661228
542094 867454
715348 957693
724847 921955
185285 504782
340889 164109
548808 628313
528132 176875
403401 165509
733176 362440
62653 306280
841647 146408
169951 295342
186442 591918
405268 31651
207390 724432
622724 775650
495011 800641
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 ...

output:

0 89323676
0 130331234
0 144675335
0 94323563
0 213829766
0 118195574
0 170444382
0 181328906
0 123390508
0 294695268
0 138491802
0 350786299
0 318187474
0 150111020
0 103700636
0 269957872
0 206602029
0 176150490
0 56950772
0 285570660
0 201339302
0 152004614
0 340341158
0 84076794
0 54258411
0 133...

result: