#include<bits/stdc++.h>
#define int ll
#define mp make_pair
#define qr read()
#define nc getchar
#define in(x) x=read()
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
inline int read()
{
    char ch=' ';
    int f=1,x=0;
    for(;!isdigit(ch);ch=nc())if(ch=='-')f*=-1;
    for(;isdigit(ch);ch=nc())x=x*10+ch-'0';
    return f*x;
}
#define pi acos(-1)
struct ee
{
    double d;
    int id;
    bool operator < (ee f){return d<f.d;}
}e[1000010];
bool blank(char ch){return ch==' '||ch=='\n'||ch=='\t';}
double r[1000010];
double dis(double a,double b)
{
    return min(abs(a-b),min(a,b)+2*pi-max(a,b));
}
signed main()
{
    int R=qr,f=qr,n=qr;
    for(int i=1;i<=R;i++)in(r[i]);
    for(int i=1;i<=f;i++)
    {
        int fx=qr,fy=qr;
        e[i].d=atan2(fy,fx);
        e[i].id=i;
    }
    sort(r+1,r+1+R);
    sort(e+1,e+1+f);
    for(int i=1;i<=n;i++)
    {
        int x=qr,y=qr;
        double nr=atan2(y,x);
        int pos=lower_bound(e+1,e+1+f,(ee){nr,i})-e,p1,p2;
        if(pos==f+1)p1=f,p2=1;
        else if(pos==1)p1=1,p2=f;
        else p1=pos-1,p2=pos;
        double nd;
        if(dis(nr,e[p1].d)<dis(nr,e[p2].d))nd=e[p1].d;
        else nd=e[p2].d;
        double tr=x*cos(nd)+y*sin(nd);
        pos=lower_bound(r+1,r+1+R,tr)-r;
        if(pos==R+1)p1=R,p2=R;
        else if(pos==1)p1=1,p2=1;
        else p1=pos,p2=pos-1;
        if(abs(tr-r[p1])>abs(tr-r[p2]))swap(p1,p2);
        double px=r[p1]*cos(nd),py=r[p1]*sin(nd);
        printf("%.8f\n",sqrt((px-x)*(px-x)+(py-y)*(py-y)));
    }
    return 0;
}