#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<ll, ll> pii;
typedef long double ld;

#define fi first
#define se second
#define mp make_pair
#define fastIO ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

vector<ld> radii;
set<ld> ang;

ld calc(ld x, ld y, ld an, ld rad){
    ld xi = sin(an) * rad;
    ld yi = cos(an) * rad;
    return sqrt((x - xi) * (x - xi) + (y - yi) * (y - yi));
}

int main(){
    fastIO;
    //freopen("in_a.txt", "r", stdin);
    int r, f, n;
    cin >> r >> f >> n;
    ld rr;
    for(int i = 0 ; i < r; i ++ ){
        cin >> rr;
        radii.push_back(rr);
    }
    sort(radii.begin(), radii.end());
    ld x, y;
    for(int i = 0 ; i < f; i ++ ){
        cin >> x >> y;
        ang.insert(atan2(x,y));
    }
    ld cur_ang;
    ld res;
    int lf, rf;
    int cl, cr;
    for(int iq = 0 ; iq < n; iq ++ ){
        cin >> x >> y;
        cur_ang = atan2(x, y);
        auto it = ang.upper_bound(cur_ang);
        auto pv = it;
        res = (ld)1e9;
        for(int iter = 0; iter < 2; iter ++ ){
            lf = 0;
            rf = (int)radii.size() - 1;
            while(lf + 3 < rf){
                cl = (lf + lf + rf) / 3;
                cr = (lf + rf + rf) / 3;
                if(calc(x, y, *it, radii[cl]) < calc(x, y, *it, radii[cr])){
                    rf = cr;
                }
                else{
                    lf = cl;
                }
            }
            for(int i = lf; i <= rf; i ++ ){
                res = min(res, calc(x, y, *it, radii[i]));
            }
            it ++ ;
            if(it == ang.end()){
                it = ang.begin();
            }
        }
        for(int iter = 0; iter < 2; iter ++ ){
            if(pv == ang.begin()){
                pv = ang.end();
            }
            pv -- ;
            lf = 0;
            rf = (int)radii.size() - 1;
            while(lf + 3 < rf){
                cl = (lf + lf + rf) / 3;
                cr = (lf + rf + rf) / 3;
                if(calc(x, y, *pv, radii[cl]) < calc(x, y, *pv, radii[cr])){
                    rf = cr;
                }
                else{
                    lf = cl;
                }
            }
            for(int i = lf; i <= rf; i ++ ){
                res = min(res, calc(x, y, *pv, radii[i]));
            }
        }
        cout << fixed << setprecision(8) << res << "\n";
    }
    return 0;
}