#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 long 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--;
//	printf("end = %d\n",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);
	//printf("top = %d\n",top);
	for(int i:stack)used[i]=true/*,printf("%d ",i)*/;
	//printf("\n");//for debugging
	down.assign(stack.begin(),stack.begin()+k+1);
	if(k<top)up.assign(stack.begin()+k+1,stack.begin()+top+1);
}
int k;
struct CMP{
	bool operator()(const int x,const int y)const{
		return Dot(P[x],Q)>Dot(P[y],Q);
	}
}cmp;
std::priority_queue<int,std::vector<int>,CMP>queue;
int vis[maxn],now_id;
void push(const int x){
//	printf("push(x = %d)\n",x);
	if(vis[x]==now_id||Dot(P[x],Q)<=eps)return;
	vis[x]=now_id;
	queue.push(x);
	if((int)queue.size()>k)/*printf("pop: %d\n",queue.top()),*/queue.pop();
}
void solve(std::vector<int>&vec,const bool flag){
	/*printf("vec:");
	for(int i:vec)printf(" %d",i);
	printf("\n");//for debugging*/
//	for(int i:vec)push(i);//for debugging
//	return;//for debugging
	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=vec.size()-2,mid;
		if(flag)
			while(l<r){
				mid=(l+r)>>1;
				if(Cross(Q-P[vec[mid]],P[vec[mid+1]]-P[vec[mid]])>0)r=mid;
				else l=mid+1;
			}
		else
			while(l<r){
				mid=(l+r)>>1;
				if(Cross(Q-P[vec[mid]],P[vec[mid+1]]-P[vec[mid]])>0)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<n;i++)printf("%lf %lf %d\n",P[i].x,P[i].y,i);
	for(int i=0;i<maxk;i++)PolygonToConvex(down[i],up[i],stack);
	puts("up:");
	for(int i=0;i<maxk;i++){
		for(int j:up[i])printf("%d ",j);
		putchar('\n');
	}
	puts("down:");
	for(int i=0;i<maxk;i++){
		for(int j:down[i])printf("%d ",j);
		putchar('\n');
	}
	read(q);
	memset(vis,-1,sizeof(int)*n);
	for(int i=0,x,y;i<q;i++){
		now_id=i;
//		printf("- - - i = %d - - -\n",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));
//		printf("Q = (%lf, %lf)\n",Q.x,Q.y);
		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");
			continue;
		}
		const int u=queue.top();
//		printf("u = %d\n",u);
		const real dot=Dot(P[u],Q);
//		printf("dot = %lf\n",dot);
		const real ans=(real)Dot(Q,Q)/dot/2;
		printf("%.10Lf\n",ans);
		if(n==100)printf("i_%d_P%d_%Lf_%Lf_Q_%Lf_%Lf_dot_%Lf\n",i,u,P[u].x,P[u].y,Q.x,Q.y,dot);
	}
	return 0;
}