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 ll long long
#define pll pair<ll,ll>
#define F first
#define S second
using namespace std;
std::default_random_engine generator( time(NULL) );
pll fd(pll x){
return max(x,{-x.F,-x.S});
}
pll base(pll x){
if(x.F==0)return {0,1};
else if(x.S==0)return {1,0};
else {
ll g=gcd(abs(x.F),abs(x.S));
return {x.F/g,x.S/g};
}
}
pll gg(pll x,pll y){
if(x.F==0){
return {0,gcd(abs(x.S),abs(y.S))};
}else if(x.S==0){
return {gcd(abs(x.F),abs(y.F)),0};
}else{
ll gf=gcd(abs(x.F),abs(y.F)),gs=gcd(abs(x.S),abs(y.S));
return fd({gf,gs});
}
}
bool build(pll x,pll y,pll tar){
ll X=abs(y.F*tar.S-y.S*tar.F),Y=abs(x.F*tar.S-x.S*tar.F),D=abs(y.F*x.S-y.S*x.F);
if(X%D==0&&Y%D==0)return 1;
return 0;
}
int n;
vector<pll> point;
vector<pll> vc;
vector<pll> use;
int main(){
// ios::sync_with_stdio(0);
// cin.tie(0);
cin>>n;
for(int i=0;i<n;i++){
ll x,y;
cin>>x>>y;
point.push_back({x,y});
}
for(int i=1;i<n;i++){
vc.push_back(fd({point[i].F-point[0].F,point[i].S-point[0].S}));
}
int line=1;
for(int i=1;i<vc.size();i++){
if(base(vc[0])!=base(vc[i])){
line=0;
break;
}
}
if(line==1){
cout<<"-1\n";
}else{
ll g=0,diff=0;
for(auto x:vc){
if(x.F==0){
if(diff==0)diff=abs(x.S);
else diff=gcd(diff,abs(x.S));
continue;
}
use.push_back(x);
if(g==0)g=abs(x.F);
else g=gcd(g,abs(x.F));
}
std::uniform_int_distribution<> distrib(0, use.size()-1);
for(int t=0;t<1000000;t++){
int i=distrib(generator),j=distrib(generator);
if(i==j)continue;
ll G=gcd(abs(use[j].F),abs(use[i].F));
diff=gcd(diff,abs(use[j].S*use[i].F/G-use[i].S*use[j].F/G));
}
cout<<g*diff<<"\n";
}
return 0;
}
Compilation message (stderr)
Main.cpp: In function 'int main()':
Main.cpp:53:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
53 | for(int i=1;i<vc.size();i++){
| ~^~~~~~~~~~
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