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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#193300#7521. Find the Gapucup-team918#WA 1ms4144kbC++171.8kb2023-09-30 16:51:492023-09-30 16:51:50

Judging History

你现在查看的是最新测评结果

  • [2023-09-30 16:51:50]
  • 评测
  • 测评结果:WA
  • 用时:1ms
  • 内存:4144kb
  • [2023-09-30 16:51:49]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

//Start
typedef long long ll;
typedef double db;
#define mp(a,b) make_pair(a,b)
#define x first
#define y second
#define be(a) a.begin()
#define en(a) a.end()
#define sz(a) int((a).size())
#define pb(a) push_back(a)
const int inf=0x3f3f3f3f;
const ll INF=0x3f3f3f3f3f3f3f3f;

//Data
const int N=2000;
const db eps=1e-12;
int n,m;

//Convex
mt19937 orz(time(0));
db reps(){return (1.*(orz()%98)/97-.5)*eps;}
struct point{
	db x,y,z;
	void shake(){x+=reps(),y+=reps(),z+=reps();}
	db len(){return sqrt(x*x+y*y+z*z);}
	point operator-(point p){return (point){x-p.x,y-p.y,z-p.z};}
	point operator*(point p){return (point){y*p.z-p.y*z,z*p.x-p.z*x,x*p.y-p.x*y};}
	db operator^(point p){return x*p.x+y*p.y+z*p.z;} 
}a[N];
struct plane{
	int v[3];
	point flag(){return (a[v[1]]-a[v[0]])*(a[v[2]]-a[v[0]]);}
	db area(){return flag().len()/2;}
	int see(point p){return ((p-a[v[0]])^flag())>0;}
}f[N],g[N];
int vis[N][N]; 
void Convex(){
	#define ft f[j].v[t]
	#define bk f[j].v[(t+1)%3]
	f[m++]=(plane){0,1,2},f[m++]=(plane){2,1,0};
	for(int i=3;i<n;i++){
		int cnt=0,b;
		for(int j=0;j<m;j++){
			if(!(b=f[j].see(a[i]))) g[cnt++]=f[j];
			for(int t=0;t<3;t++) vis[ft][bk]=b;
		}
		for(int j=0;j<m;j++)
			for(int t=0;t<3;t++)
				if(vis[ft][bk]&&!vis[bk][ft]) g[cnt++]=(plane){ft,bk,i};
		m=cnt;
		for(int j=0;j<m;j++) f[j]=g[j];
	}
} 

//Main
int main(){
	ios::sync_with_stdio(0);
	cin.tie(0),cout.tie(0);
	cin>>n;
	for(int i=0;i<n;i++) cin>>a[i].x>>a[i].y>>a[i].z,a[i].shake();
	Convex(); 
	double ans=1e9;
	for(int i=0;i<m;i++){
		double mx=0;
		for(int j=0;j<n;++j) mx=max(mx,fabs(((a[j]-a[f[i].v[0]])^f[i].flag())/f[i].flag().len()));
		ans=min(ans,mx);
	}
	printf("%.12lf\n",ans);
	return 0;
} 

Details

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Test #1:

score: 100
Accepted
time: 0ms
memory: 4088kb

input:

8
1 1 1
1 1 2
1 2 1
1 2 2
2 1 1
2 1 2
2 2 1
2 2 2

output:

1.000000000000

result:

ok found '1.000000000', expected '1.000000000', error '0.000000000'

Test #2:

score: 0
Accepted
time: 1ms
memory: 4144kb

input:

5
1 1 1
1 2 1
1 1 2
1 2 2
2 1 1

output:

0.707106781187

result:

ok found '0.707106781', expected '0.707106781', error '0.000000000'

Test #3:

score: -100
Wrong Answer
time: 0ms
memory: 3964kb

input:

50
973 1799 4431
1036 1888 4509
1099 1977 4587
1162 2066 4665
1225 2155 4743
1288 2244 4821
1351 2333 4899
1414 2422 4977
1540 2600 5133
1603 2689 5211
1666 2778 5289
1729 2867 5367
1792 2956 5445
1855 3045 5523
1918 3134 5601
1981 3223 5679
2044 3312 5757
2107 3401 5835
2170 3490 5913
2296 3668 606...

output:

11.432842015143

result:

wrong answer 1st numbers differ - expected: '0.0000000', found: '11.4328420', error = '11.4328420'