#pragma GCC optimize("Ofast","O3","unroll-loops")
#pragma GCC target("avx","avx2")
#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=-1;
auto solve=[&](int i,int j)->void {
int r1=v[j].y/gcd(v[i].y,v[j].y);
int t=v[i].y*r1;
int t1=t/v[j].y;
int x1=abs(v[i].x*r1-v[j].x*t1);
if(x1!=0)ans=(ans==-1?x1:gcd(ans,x1));
};
vector<int> t;
for(int i=1;i<n;i++){
if(v[i].y==0){
ans=(ans==-1?v[i].x:gcd(v[i].x,ans));
continue;
}
t.push_back(i);
}
int sz=t.size();
if(sz==0){
cout<<-1<<endl;
return 0;
}
int times=0;
shuffle(all(t),rnd);
for(int i=0;i<sz-1&×<=(2.5e7);i++){
for(int j=i+1;j<i+2&×<=(2.5e7);j++){
times++;
solve(t[i],t[j]);
}
}
int g1=-1;
for(int i=1;i<n;i++){
if(v[i].y==0)continue;
g1=(g1==-1?abs(v[i].y):gcd(g1,v[i].y));
}
//cout<<ans<<' '<<g1<<endl;
cout<<(ans==-1?-1:ans*g1)<<endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
344 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
344 KB |
Output is correct |
25 |
Correct |
0 ms |
344 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
23 ms |
4572 KB |
Output is correct |
3 |
Correct |
23 ms |
4572 KB |
Output is correct |
4 |
Correct |
22 ms |
4748 KB |
Output is correct |
5 |
Correct |
28 ms |
4572 KB |
Output is correct |
6 |
Correct |
23 ms |
4568 KB |
Output is correct |
7 |
Correct |
16 ms |
3416 KB |
Output is correct |
8 |
Correct |
16 ms |
3604 KB |
Output is correct |
9 |
Correct |
16 ms |
3600 KB |
Output is correct |
10 |
Correct |
23 ms |
4572 KB |
Output is correct |
11 |
Correct |
18 ms |
4248 KB |
Output is correct |
12 |
Correct |
18 ms |
4064 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
24 ms |
4744 KB |
Output is correct |
15 |
Correct |
27 ms |
4568 KB |
Output is correct |
16 |
Correct |
26 ms |
4748 KB |
Output is correct |
17 |
Correct |
33 ms |
4560 KB |
Output is correct |
18 |
Correct |
23 ms |
4568 KB |
Output is correct |
19 |
Correct |
23 ms |
4744 KB |
Output is correct |
20 |
Correct |
23 ms |
4568 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
344 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
344 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
28 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
344 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
344 KB |
Output is correct |
25 |
Correct |
0 ms |
344 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
344 KB |
Output is correct |
41 |
Correct |
0 ms |
348 KB |
Output is correct |
42 |
Correct |
0 ms |
348 KB |
Output is correct |
43 |
Correct |
0 ms |
348 KB |
Output is correct |
44 |
Correct |
0 ms |
348 KB |
Output is correct |
45 |
Correct |
0 ms |
348 KB |
Output is correct |
46 |
Correct |
0 ms |
348 KB |
Output is correct |
47 |
Correct |
0 ms |
348 KB |
Output is correct |
48 |
Correct |
0 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
348 KB |
Output is correct |
50 |
Correct |
0 ms |
348 KB |
Output is correct |
51 |
Correct |
0 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
348 KB |
Output is correct |
54 |
Correct |
0 ms |
348 KB |
Output is correct |
55 |
Correct |
1 ms |
348 KB |
Output is correct |
56 |
Correct |
1 ms |
344 KB |
Output is correct |
57 |
Correct |
0 ms |
344 KB |
Output is correct |
58 |
Correct |
0 ms |
348 KB |
Output is correct |
59 |
Correct |
0 ms |
348 KB |
Output is correct |
60 |
Correct |
0 ms |
348 KB |
Output is correct |
61 |
Correct |
0 ms |
348 KB |
Output is correct |
62 |
Correct |
0 ms |
344 KB |
Output is correct |
63 |
Correct |
0 ms |
348 KB |
Output is correct |
64 |
Correct |
0 ms |
348 KB |
Output is correct |
65 |
Correct |
0 ms |
348 KB |
Output is correct |
66 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
67 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
344 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
344 KB |
Output is correct |
25 |
Correct |
0 ms |
344 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
41 |
Correct |
23 ms |
4572 KB |
Output is correct |
42 |
Correct |
23 ms |
4572 KB |
Output is correct |
43 |
Correct |
22 ms |
4748 KB |
Output is correct |
44 |
Correct |
28 ms |
4572 KB |
Output is correct |
45 |
Correct |
23 ms |
4568 KB |
Output is correct |
46 |
Correct |
16 ms |
3416 KB |
Output is correct |
47 |
Correct |
16 ms |
3604 KB |
Output is correct |
48 |
Correct |
16 ms |
3600 KB |
Output is correct |
49 |
Correct |
23 ms |
4572 KB |
Output is correct |
50 |
Correct |
18 ms |
4248 KB |
Output is correct |
51 |
Correct |
18 ms |
4064 KB |
Output is correct |
52 |
Correct |
0 ms |
344 KB |
Output is correct |
53 |
Correct |
24 ms |
4744 KB |
Output is correct |
54 |
Correct |
27 ms |
4568 KB |
Output is correct |
55 |
Correct |
26 ms |
4748 KB |
Output is correct |
56 |
Correct |
33 ms |
4560 KB |
Output is correct |
57 |
Correct |
23 ms |
4568 KB |
Output is correct |
58 |
Correct |
23 ms |
4744 KB |
Output is correct |
59 |
Correct |
23 ms |
4568 KB |
Output is correct |
60 |
Correct |
0 ms |
344 KB |
Output is correct |
61 |
Correct |
0 ms |
348 KB |
Output is correct |
62 |
Correct |
0 ms |
348 KB |
Output is correct |
63 |
Correct |
0 ms |
348 KB |
Output is correct |
64 |
Correct |
0 ms |
348 KB |
Output is correct |
65 |
Correct |
0 ms |
348 KB |
Output is correct |
66 |
Correct |
0 ms |
348 KB |
Output is correct |
67 |
Correct |
0 ms |
348 KB |
Output is correct |
68 |
Correct |
0 ms |
348 KB |
Output is correct |
69 |
Correct |
0 ms |
348 KB |
Output is correct |
70 |
Correct |
0 ms |
348 KB |
Output is correct |
71 |
Correct |
0 ms |
348 KB |
Output is correct |
72 |
Correct |
0 ms |
348 KB |
Output is correct |
73 |
Correct |
0 ms |
348 KB |
Output is correct |
74 |
Correct |
0 ms |
348 KB |
Output is correct |
75 |
Correct |
1 ms |
348 KB |
Output is correct |
76 |
Correct |
1 ms |
344 KB |
Output is correct |
77 |
Correct |
0 ms |
344 KB |
Output is correct |
78 |
Correct |
0 ms |
348 KB |
Output is correct |
79 |
Correct |
0 ms |
348 KB |
Output is correct |
80 |
Correct |
0 ms |
348 KB |
Output is correct |
81 |
Correct |
0 ms |
348 KB |
Output is correct |
82 |
Correct |
0 ms |
344 KB |
Output is correct |
83 |
Correct |
0 ms |
348 KB |
Output is correct |
84 |
Correct |
0 ms |
348 KB |
Output is correct |
85 |
Correct |
0 ms |
348 KB |
Output is correct |
86 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
87 |
Halted |
0 ms |
0 KB |
- |