Submission #1045423

#TimeUsernameProblemLanguageResultExecution timeMemory
1045423Darren0724Portal (BOI24_portal)C++17
1 / 100
18 ms3604 KiB

#include<bits/stdc++.h>
using namespace std;
#define x first
#define y second
#define int long long
#define all(x) x.begin(),x.end()
#define pii pair<int,int>
#define rz resize
#define pb emplace_back
#define LCBorz ios_base::sync_with_stdio(false);cin.tie(0);
#define endl '\n'
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
const int INF=9e18;
const int mod=1e9+7;
const int N=200005;
const int K=20;
const int C=2000005;
 
int gcd(int a,int b){
    return abs(__gcd(a,b));
}
 
 
int32_t main(){
    LCBorz;
    int n;cin>>n;
    if(n<=2){
        cout<<-1<<endl;
        return 0;
    }
    vector<pair<int,int>> v(n),v1(n);
    for(int i=0;i<n;i++){
        int a,b;cin>>a>>b;
        v[i]={a,b};
    }
    sort(all(v));
    for(int i=1;i<n;i++){
        v[i].x-=v[0].x;
        v[i].y-=v[0].y;
    }
    int ans=INF;
    if(v[1].y==0&&v[2].y==0){
        cout<<-1<<endl;
        return 0;
    }
    if(v[1].y==0){
        cout<<abs(v[1].x*v[2].y)<<endl;
        return 0;
    }
    if(v[2].y==0){
        cout<<abs(v[2].x*v[1].y)<<endl;
        return 0;
    }
    //cout<<v[1].x<<' '<<v[1].y<<' '<<v[2].x<<' '<<v[2].y<<endl;
    int r1=v[2].y/gcd(v[1].y,v[2].y);
    for(int i=r1;i<=r1;i++){
        int t=v[1].y*i;
        int t1=t/v[2].y;
        int x1=abs(v[1].x*i-v[2].x*t1);
        if(x1!=0){
            ans=x1;
            break;
        }
    }
    cout<<(ans==-1?-1:ans*gcd(v[1].y,v[2].y))<<endl;
    return 0;
}
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