#include<bits/stdc++.h>
#define int long long
#define MAXN (int)1e5+5
#define pii pair<int,int>
#define fi first
#define se second
#define db double
using namespace std;
int x[MAXN],y[MAXN];
int query(int s1,int s2,array<int,2>t){
int j=0;
while(s1==j||s2==j){
j++;
}
double o=db(x[s2]-x[s1])*db(t[1]-y[s2])-db(t[0]-x[s2])*db(y[s2]-y[s1]),
o2=db(x[s2]-x[s1])*db(y[j]-y[s2])-db(x[j]-x[s2])*db(y[s2]-y[s1]);
return (o>0&&o2>0)||(o<0&&o2<0);
}
void solve() {
int t,n,q;cin>>t>>n;
for(int i=0;i<n;i++){
cin>>x[i]>>y[i];
}
cin>>q;
int z=0;
while(q--){
int a,b;cin>>a>>b;
a^=(t*z*z*z);
b^=(t*z*z*z);
int o=query(0,1,{a,b}),
o2=query(n/2,n/2+1,{a,b});
if(o==o2){
z+=o;
cout<<(o?"DA\n":"NE\n");continue;
}
int l=2,r=n/2,ans=1;
while(l<=r){
int s=(l+r)/2;
if(query(s-1,s,{a,b})==o){
ans=s;
l=s+1;
}else{
r=s-1;
}
}
l=n/2+2,r=n;
int ans2=n/2+1;
while(l<=r){
int s=(l+r)/2;
if(query(s-1,s%n,{a,b})==o2){
ans2=s;
l=s+1;
}else{
r=s-1;
}
}
r=ans+n-ans2;
//cout<<o<<' '<<r<<'\n';
if((o&&r>n/2)||(!o&&r<n/2)){z++;
cout<<"DA\n";
}else{
cout<<"NE\n";
}
}
}
int32_t main() {
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
int32_t T=1;//cin>>T;
while(T--) {
solve();
}
return 0;
}
