#include<bits/stdc++.h>
using db = double;
using std::cin;
using std::cout;
int r, f, n;
using cp = std::complex<db>;
const db pi = std::acos(-1);
int main() {
	std::ios::sync_with_stdio(false), cin.tie(0);
	cin >> r >> f >> n;
	std::vector<db> o(r);
	std::vector<db> ang;
	for(int i = 0;i < r;++i) {
		cin >> o[i];
	}
	for(int i = 0;i < f;++i) {
		db x, y;
		cin >> x >> y;
		ang.push_back(atan2(y, x));
		ang.push_back(atan2(y, x) + pi * 2);
		ang.push_back(atan2(y, x) + pi * 4);
	}
	sort(o.begin(), o.end());
	sort(ang.begin(), ang.end());
	for(int i = 0;i < n;++i) {
		db x, y, L;
		cin >> x >> y;
		L = sqrt(x * x + y * y);
		db a = atan2(y, x) + pi * 2;
		auto iter = lower_bound(ang.begin(), ang.end(), a);
		db d = 1e9;
		if(iter != ang.end()) d = std::min(d, std::fabs(a - *iter));
		if(iter != ang.begin()) d = std::min(d, std::fabs(a - iter[-1]));
		cp z = std::polar(L, d);
		auto it = lower_bound(o.begin(), o.end(), z.real());
		db ans = 1e18;
		if(it != o.end()) ans = std::min(ans, abs(z - *it));
		if(it != o.begin()) ans = std::min(ans, abs(z - it[-1]));
		printf("%.15lf\n", ans);
	}
}