#include<bits/stdc++.h>
using namespace std;
#define int long long
int read(){
	int f = 1,x = 0;
	char c = getchar();
	while(c > '9' || c < '0'){
		if(c == '-') f = -1;
		c = getchar();
	}
	while(c >= '0' && c <= '9'){
		x = x * 10 + c - '0';
		c = getchar();
	}
	return x * f;
}
int r,f,n;
const int maxn = 100015;
const double eps = 1e-9;
double a1[maxn];
double a2[maxn];
double pi = 3.14159265359;
double js(double x1,double x2,double x3,double x4){
	double x5 = x3 * cos(x4);
	double x6 = x3 * sin(x4);
	x1 = x1 - x5;
	x2 = x2 - x6;
	return sqrt(x1 * x1 + x2 * x2);
}
signed main()
{
	r = read(),f = read(),n = read();
	for(int i=1;i<=r;++i){
		int x = read();
		a1[i] = 1.0 * x;
	}
	sort(a1 + 1,a1 + r + 1);
	for(int i=2;i<=f+1;++i){
		int x = read(),y = read();
		if(x == 0){
			if(y > 0) a2[i] = pi/2;
			else a2[i] = -pi/2;
		}
		else
		{
			double qaq = 1.0 * y / x;
			if(x > 0) a2[i] = atan(qaq);
			else{
				if(y <= 0) a2[i] = atan(qaq) - pi;
				else a2[i] = atan(qaq) + pi;
			}
		}
	}
	sort(a2 + 2,a2 + f + 2);
	f += 2;
	a2[f] = a2[2] + 2 * pi;
	a2[1] = a2[f - 1] - 2 * pi;
	while(n != 0){
		--n;
		int x = read(),yyy = read();
		double x1 = 1.0 * x,y1 = 1.0 * yyy;
		double r1 = sqrt(x1 * x1 + y1 * y1);
		int z = 1,y = r;
		while(z <= y){
			int mid = (z+y)>>1;
			if(a1[mid] < r1) z = mid + 1;
			else y = mid - 1;
		}
		//l,l - 1
		double r2,r3;
		if(x == 0){
			if(y > 0) r2 = pi/2;
			else r2 = -pi/2;
		}
		else{
			r3 = 1.0 * y1 / x1;
			if(y <= 0) r2 = atan(r3) - pi;
			else r2 = atan(r3) + pi;
		}
		int zz = 1,yy = f;
		while(zz <= yy){
			int mid = (zz+yy)>>1;
			if(a2[mid] < r2) zz = mid + 1;
			else yy = mid - 1;
		}
		//l,l - 1
		double ans = 1e12;
		for(int i=max(z,r);i>=min(z-1,1ll);--i){
			for(int j=max(zz,f);j>=min(zz-1,1ll);--j){
				ans = min(ans,js(x1,y1,a1[i],a2[j]));
			}
		}
		printf("%.12lf\n",ans);
	}
}