| # | Time | Username | Problem | Language | Result | Execution time | Memory |
|---|---|---|---|---|---|---|---|
| 1355996 | Aviansh | Portal (BOI24_portal) | C++20 | 2096 ms | 1860 KiB |
#include <bits/stdc++.h>
using namespace std;
#define int long long
signed main(){
ios::sync_with_stdio(0);
cin.tie(0);
int n;
cin >> n;
array<int,2>pts[n];
for(int i = 0;i<n;i++){
cin >> pts[i][0];
cin >> pts[i][1];
}
for(int i = n-1;i>=0;i--){
pts[i][0]-=pts[0][0];
pts[i][1]-=pts[0][1];
}
int curx=0;
int cury=0;
int gx = 0;
int gy = 0;
///origin shifted.
for(int i = 1;i<n;i++){
if(pts[i][0]!=0){
gx=gcd(gx,pts[i][0]);
}
if(pts[i][1]!=0){
gy=gcd(gy,pts[i][1]);
}
for(int z = 1;z<i;z++){
if(gcd(gcd(pts[i][0],pts[i][1]),curx)==curx&&gcd(gcd(pts[i][0],pts[i][1]),cury)==cury){
break;
}
int tx = pts[z][0];
int ty = pts[z][1];
///for finding dx
int gc = gcd(abs(pts[i][1]),abs(ty));
if(gc){
int a = -((ty)/gc);
int b = (pts[i][1])/gc;
int dx = a*pts[i][0]+b*tx;
dx=abs(dx);
if(curx==0){
curx=dx;
}
else if(dx!=0){
curx=gcd(curx,dx);
}
}
///for finding dy
gc = gcd(abs(pts[i][0]),abs(tx));
if(gc){
int a = -((tx)/gc);
int b = (pts[i][0])/gc;
int dy = a*pts[i][1]+b*ty;
dy=abs(dy);
if(cury==0){
cury=dy;
}
else if(dy!=0){
cury=gcd(cury,dy);
}
}
}
}
if(curx==0||cury==0){
cout << -1;
}
else{
if(gx==0||gy==0){
cout << -1;
}
else{
cout << max(curx*gy,cury*gx);
}
}
return 0;
}
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