This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma GCC optimize("Ofast,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
typedef long long llo;
#define mp make_pair
#define pb push_back
#define a first
#define b second
#define endl '\n'
llo n,aa;
llo xx[1000001];
llo yy[1000001];
vector<pair<pair<llo,llo>,pair<llo,llo>>> ss;
vector<pair<pair<llo,llo>,pair<llo,llo>>> ss3;
queue<pair<pair<llo,llo>,pair<llo,llo>>> cur;
queue<pair<pair<llo,llo>,pair<llo,llo>>> cur2;
bool cmp(pair<pair<llo,llo>,pair<llo,llo>> bb,pair<pair<llo,llo>,pair<llo,llo>> cc){
return bb.b.a*cc.b.b<bb.b.b*cc.b.a;
}
bool cmp2(pair<pair<llo,llo>,pair<llo,llo>> bb,pair<pair<llo,llo>,pair<llo,llo>> cc){
return bb.a.a*cc.a.b<bb.a.b*cc.a.a;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin>>n>>aa;
for(llo i=0;i<n;i++){
cin>>xx[i]>>yy[i];
}
for(llo i=2;i<n-1;i+=2){
/* double ac=((double)aa-yy[i]);
ac/=((double)(yy[i+1]-yy[i]));
ac*=((double)(xx[i+1]-xx[i]));*/
pair<llo,llo> acc2={(xx[i+1]-xx[i])*(aa-yy[i]),(yy[i+1]-yy[i])};
acc2.a+=xx[i]*acc2.b;
//ac+=xx[i];
pair<llo,llo> bcc2={(xx[i-1]-xx[i])*(aa-yy[i]),(yy[i-1]-yy[i])};
bcc2.a+=xx[i]*bcc2.b;
//ac+=xx[i];
/* double bc=((double)aa-yy[i]);
bc/=((double)(yy[i-1]-yy[i]));
bc*=((double)(xx[i-1]-xx[i]));*/
//bc+=xx[i];
//cout<<setprecision(10)<<ac<<":"<<bc<<endl;
/*ac*=1000000;
bc*=1000000;
llo acc=round(ac);
llo bcc=round(bc);*/
if(n<=2000){
for(llo j=1;j<n;j+=2){
//if(j<i){
if(yy[j]==yy[i]){
continue;
}
pair<llo,llo> ccc2={(xx[j]-xx[i])*(aa-yy[i]),(yy[j]-yy[i])};
ccc2.a+=xx[i]*ccc2.b;
if(j>i){
if(acc2.a*ccc2.b>ccc2.a*acc2.b){
acc2=ccc2;
}
//acc=min(acc,ccc);
}
if(j<i){
if(bcc2.a*ccc2.b<ccc2.a*bcc2.b){
bcc2=ccc2;
}
// bcc=max(bcc,ccc);
}
//}
}
}
long double ac=((long double)(acc2.a))/((long double)(acc2.b));
long double bc=((long double)(bcc2.a))/((long double)(bcc2.b));
/*ac*=100000000;
bc*=100000000;
llo acc=round(ac);
llo bcc=round(bc);*/
swap(ac,bc);
swap(acc2,bcc2);
ss.pb({acc2,bcc2});
ss3.pb({acc2,bcc2});
//cout<<setprecision(5)<<ac<<":"<<bc<<endl;
//cout<<acc<<","<<bcc<<endl;
}
sort(ss.begin(),ss.end(),cmp);
sort(ss3.begin(),ss3.end(),cmp2);
//return 0;
for(auto j:ss){
cur2.push(j);
//cur.insert(j);
// cur2.insert({j.b,j.a});
}
for(auto j:ss3){
cur.push(j);
}
// sort(ss.begin(),ss.end(),cmp);
llo ans=0;
map<pair<pair<llo,llo>,pair<llo,llo>>,llo> kk4;
while(cur2.size()){
pair<pair<llo,llo>,pair<llo,llo>> no=cur2.front();
cur2.pop();
if(kk4.find(no)!=kk4.end()){
continue;
}
//cout<<no.b.a<<"::"<<no.b.b<<endl;
ans++;
// cout<<no.a<<":"<<no.b<<endl;
while(cur.size()){
pair<pair<llo,llo>,pair<llo,llo>> no2=cur.front();
// cout<<no2.a<<",,"<<no2.b<<endl;
if(no2.a.a*no.b.b<=no.b.a*no2.a.b){
kk4[no2]++;
cur.pop();
/* cur.erase(no2);
cur2.erase({no2.b,no2.a});*/
}
else{
break;
}
}
//break;
}
cout<<ans<<endl;
return 0;
}
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