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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#110019#5570. Epidemic Escape2024zllWA 3ms5720kbC++143.5kb2023-05-31 10:15:482023-05-31 10:15:51

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-05-31 10:15:51]
  • 评测
  • 测评结果:WA
  • 用时:3ms
  • 内存:5720kb
  • [2023-05-31 10:15:48]
  • 提交

answer

#include<algorithm>
#include<cmath>
#include<cstdio>
#include<cstring>
#include<queue>
#include<vector>
namespace IO{
	const int ARR_SIZE=1<<20;
	#define gc() ((IO::si!=IO::ti||(IO::ti=(IO::si=IO::input)+fread(IO::input,1,IO::ARR_SIZE,stdin))),IO::si!=IO::ti?*(IO::si++):EOF)
	char input[ARR_SIZE],*si=input,*ti=input;
	template<typename T>
	void read(T&num){
		bool flag=true;
		int ch=gc();
		num=0;
		while(ch<48||ch>57){
			if(ch=='-')flag=false;
			ch=gc();
		}
		while(ch>=48&&ch<=57)num=num*10+(ch^48),ch=gc();
		flag||(num=-num);
	}
}
using IO::read;
typedef double real;
const int maxn=100000,maxk=5;
const real eps=1e-16;
int n,q;
struct Vector{
	real x,y;
	Vector(const real x=0,const real y=0):x(x),y(y){}
	friend bool operator<(const Vector&A,const Vector&B){
		return A.x!=B.x?A.x<B.x:A.y<B.y; 
	}
	friend Vector operator-(const Vector&A,const Vector&B){
		return Vector(A.x-B.x,A.y-B.y);
	}
	friend Vector operator/(const Vector&A,const real&x){
		return Vector(A.x/x,A.y/x);
	}
	friend real Cross(const Vector&A,const Vector&B){
		return A.x*B.y-A.y*B.x;
	}
	friend real Dot(const Vector&A,const Vector&B){
		return A.x*B.x+A.y*B.y;
	}
}P[maxn],Q;
bool used[maxn];
std::vector<int>down[maxk],up[maxk],stack;
void PolygonToConvex(std::vector<int>&down,std::vector<int>&up,std::vector<int>&stack){
	int end=n-1;
	while(end>=0&&used[end])end--;
	if(end==-1)return;
	stack.resize(n*2);
	int top=-1;
	for(int i=0;i<=end;i++){
		if(used[i])continue;
		while(top>0&&Cross(P[stack[top]]-P[stack[top-1]],P[i]-P[stack[top]])<=0)top--;
		stack[++top]=i;
	}
	const int k=top;
	for(int i=end-1;i>=0;i--){
		if(used[i])continue;
		while(top>k&&Cross(P[stack[top]]-P[stack[top-1]],P[i]-P[stack[top]])<=0)top--;
		stack[++top]=i;
	}
	stack.resize(top+1);
	for(int i:stack)used[i]=true;
	down.assign(stack.begin(),stack.begin()+k+1);
	if(k<top)up.assign(stack.begin()+k+1,stack.begin()+top+1);
}
int k;
real DotPQ[maxn];
struct CMP{
	bool operator()(const int x,const int y)const{
		return DotPQ[x]>DotPQ[y];
	}
}cmp;
std::priority_queue<int,std::vector<int>,CMP>queue;
int vis[maxn],now_id;
void push(const int x){
	if(vis[x]==now_id)return;
	vis[x]=now_id;
	if((DotPQ[x]=Dot(P[x],Q))<=eps)return;
	queue.push(x);
	if((int)queue.size()>k)queue.pop();
}
void solve(std::vector<int>&vec,const bool flag){
	if((int)vec.size()<=k)
		for(int i:vec)
			push(i);
	else{
		for(int i=0;i<k;i++)push(vec[i]);
		for(int i=(int)vec.size()-k;i<(int)vec.size();i++)push(vec[i]);
		int l=0,r=(int)vec.size()-2,mid;
		if(flag)
			while(l<r){
				mid=(l+r)>>1;
				if(DotPQ[vec[mid+1]]>DotPQ[vec[mid]])r=mid;
				else l=mid+1;
			}
		else
			while(l<r){
				mid=(l+r)>>1;
				if(DotPQ[vec[mid+1]]>DotPQ[vec[mid]])l=mid+1;
				else r=mid;
			}
		for(int i=std::max(0,l-k),lim=std::min((int)vec.size()-1,l+k);i<=lim;i++)push(vec[i]);
	}
}
int main(){
	read(n);
	for(int i=0;i<n;i++)read(P[i].x),read(P[i].y),P[i]=P[i]/Dot(P[i],P[i]);
	std::sort(P,P+n);
	for(int i=0;i<maxk;i++)PolygonToConvex(down[i],up[i],stack);
	read(q);
	memset(vis,-1,sizeof(int)*n);
	for(int i=0,x,y;i<q;i++){
		now_id=i;
		read(x),read(y),read(k);
		if(x==0&&y==0){
			puts("-1");
			continue;
		}
		Q=Vector(x,y);
		Q=Q/sqrt(Dot(Q,Q));
		while(!queue.empty())queue.pop();
		for(int j=0;j<k;j++)solve(down[j],y<0);
		for(int j=0;j<k;j++)solve(up[j],y>0);
		if((int)queue.size()<k)puts("-1");
		else printf("%.7lf\n",0.5/Dot(P[queue.top()],Q));
	}
	return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 3ms
memory: 5392kb

input:

5
5 -3
5 4
-6 2
-5 0
4 1
2
-3 -10 1
6 -9 1

output:

8.7002554
3.2260196

result:

ok 2 numbers

Test #2:

score: 0
Accepted
time: 1ms
memory: 5304kb

input:

8
4 -1
4 -8
0 9
4 -7
-5 -2
5 -5
7 5
-9 2
10
4 -8 1
7 -7 5
-10 8 2
-9 9 2
4 -7 5
-1 -10 2
6 -3 2
2 -9 3
-10 -10 1
5 9 1

output:

3.1677630
26.1629509
5.4614883
6.3639610
-1
5.2894082
3.7267800
4.6097722
2.9294424
4.7617289

result:

ok 10 numbers

Test #3:

score: 0
Accepted
time: 0ms
memory: 5184kb

input:

5
-4 -7
5 0
2 4
-7 -7
4 4
20
0 -5 2
-4 -7 2
-7 7 3
4 -4 3
-7 4 3
4 -4 1
2 4 1
6 -7 2
4 -4 2
4 4 3
5 4 1
-1 9 2
8 9 3
4 -4 2
6 3 3
-10 -3 2
-7 7 1
9 -4 1
-4 -7 3
-2 0 2

output:

7.0000000
5.1305277
-1
-1
-1
3.5355339
2.2360680
11.9854078
15.3206469
3.5355339
2.4627401
4.5276926
3.7629983
15.3206469
2.9814240
5.6217035
7.0710678
2.7357938
-1
8.1250000

result:

ok 20 numbers

Test #4:

score: -100
Wrong Answer
time: 1ms
memory: 5720kb

input:

100
63 -48
20 -62
-81 -31
-17 -93
2 -74
72 25
-71 37
-71 17
56 67
-47 65
-89 14
62 30
-71 -33
14 -53
-57 -52
30 80
-14 -69
-45 -19
-54 -71
58 -20
-57 12
5 -56
-76 -2
26 61
24 60
10 -97
-63 38
17 81
-43 -38
44 35
-86 37
62 72
77 11
41 29
14 81
77 55
-54 -33
-43 -51
76 14
55 47
43 24
69 -13
16 75
11 9...

output:

27.4708186
29.5714060
24.6221445
31.4524270
26.6783667
24.4237025
28.8933482
29.7761696
31.9403630
32.1849207
31.7984682
39.1727422
25.2991100
26.8710652
28.9958395
28.3563142
29.9872589
25.6496237
25.1496681
28.3011570
29.4129940
26.6901575
28.3504852
30.8282427
29.3782484
26.3805222
30.6454143
29....

result:

wrong answer 1st numbers differ - expected: '26.7586789', found: '27.4708186', error = '0.0266134'