This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define fi first
#define se second
using namespace std;
const int N=2e5;
struct Point
{
long long x,y;
};
int operator*(Point a,Point b)
{
__int128 c=(__int128)a.x*b.y-(__int128)a.y*b.x;
if(c==0)
return 0;
return (c<0 ? -1:1);
}
Point operator-(Point a,Point b)
{
return {a.x-b.x,a.y-b.y};
}
bool under(Point p,Point a,Point b)
{
return (b-a)*(p-a)>=0;
}
bool comp(Point p,Point a,Point b)
{
return (a-p)*(b-p)>0;
}
Point tab[N+10];
int bs(Point p,int l,int r)
{
while(l<r)
{
int mid=(l+r)/2;
if(comp(p,tab[mid],tab[mid+1]))
r=mid;
else
l=mid+1;
}
return l;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int n,t;
cin>>t;
cin>>n;
int mn=1,mx=1;
for(int i=1;i<=n;i++)
{
cin>>tab[i].x>>tab[i].y;
tab[n+i]=tab[i];
if(tab[i].x<tab[mn].x)
mn=i;
if(tab[i].x>tab[mx].x)
mx=i;
}
if(mn>mx)
swap(mn,mx);
pair<int,int> seg[2]={{mn,mx},{mx,n+mn}};
int q;
cin>>q;
long long ans=0;
while(q--)
{
long long a,b;
cin>>a>>b;
Point p={a^(ans*ans*ans*t),b^(ans*ans*ans*t)};
int w[2];
for(int i:{0,1})
w[i]=bs(p,seg[i].fi,seg[i].se);
int ww=(comp(p,tab[w[0]],tab[w[1]]) ? w[0]:w[1]);
ww=(ww-1)%n+1;
if(under(p,tab[ww+n/2],tab[ww+n/2+1]))
{
ans++;
cout<<"DA\n";
}
else
cout<<"NE\n";
}
return 0;
}
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