Submission #1012562

# Submission time Handle Problem Language Result Execution time Memory
1012562 2024-07-02T10:45:31 Z ttamx Portal (BOI24_portal) C++17
21 / 100
14 ms 3120 KB
#include<bits/stdc++.h>

using namespace std;

using ll = long long;

const int N=1e5+5;

int n;

struct Point{
    ll x,y;
    Point norm(){return x<0||(x==0&&y<0)?Point{-x,-y}:*this;}
    Point operator+(const Point &p)const{return {x+p.x,y+p.y};}
    Point operator-(const Point &p)const{return {x-p.x,y-p.y};}
    Point operator*(ll k)const{return {x*k,y*k};}
}p[N];

ll cross(Point a,Point b){return a.x*b.y-a.y*b.x;}

Point gcd(Point a,Point b){
    Point c;
    c.x=gcd(a.x,b.x);
    c.y=gcd(a.y,b.y);
    return c.norm();
}

int main(){
    cin.tie(nullptr)->sync_with_stdio(false);
    cin >> n;
    for(int i=1;i<=n;i++)cin >> p[i].x >> p[i].y;
    for(int i=2;i<=n;i++)p[i]=(p[i]-p[1]).norm();
    bool ok=false;
    for(int i=3;i<=n;i++)if(cross(p[2],p[i])!=0){
        swap(p[3],p[i]);
        ok=true;
        break;
    }
    if(!ok)cout << -1,exit(0);
    Point u=p[2],v=p[3];
    for(int i=4;i<=n;i++){
        Point q=p[i];
        while(true){
            if(cross(u,v)==0){
                u=gcd(u,v);
                v=q;
                break;
            }
            if(cross(u,q)==0){
                u=gcd(u,q);
                break;
            }
            if(cross(v,q)==0){
                v=gcd(v,q);
                break;
            }
            ll d=cross(u,v);
            ll a=cross(q,v)/d;
            ll b=cross(u,q)/d;
            q=(q-u*a-v*b).norm();
            swap(v,q);
        }
    }
    cout << abs(cross(u,v));
}
# 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 464 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 460 KB Output is correct
10 Correct 1 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 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 344 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 464 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 460 KB Output is correct
10 Correct 1 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 0 ms 348 KB Output is correct
17 Correct 0 ms 348 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 348 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 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 344 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 1 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 604 KB Output is correct
2 Correct 14 ms 2944 KB Output is correct
3 Correct 14 ms 2968 KB Output is correct
4 Correct 13 ms 2900 KB Output is correct
5 Correct 14 ms 2976 KB Output is correct
6 Correct 12 ms 3120 KB Output is correct
7 Correct 12 ms 2868 KB Output is correct
8 Correct 13 ms 2876 KB Output is correct
9 Correct 12 ms 2904 KB Output is correct
10 Correct 12 ms 2908 KB Output is correct
11 Correct 13 ms 2908 KB Output is correct
12 Correct 12 ms 2988 KB Output is correct
13 Correct 0 ms 360 KB Output is correct
14 Correct 14 ms 3012 KB Output is correct
15 Correct 14 ms 2908 KB Output is correct
16 Correct 13 ms 2896 KB Output is correct
17 Correct 12 ms 2900 KB Output is correct
18 Correct 12 ms 2900 KB Output is correct
19 Correct 13 ms 2908 KB Output is correct
20 Correct 13 ms 3004 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 464 KB Output is correct
7 Incorrect 0 ms 348 KB Output isn't correct
8 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 464 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 460 KB Output is correct
10 Correct 1 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 0 ms 348 KB Output is correct
17 Correct 0 ms 348 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 348 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 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 344 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 1 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 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 464 KB Output is correct
46 Incorrect 0 ms 348 KB Output isn't correct
47 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 464 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 460 KB Output is correct
10 Correct 1 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 0 ms 348 KB Output is correct
17 Correct 0 ms 348 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 348 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 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 344 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 1 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 604 KB Output is correct
41 Correct 14 ms 2944 KB Output is correct
42 Correct 14 ms 2968 KB Output is correct
43 Correct 13 ms 2900 KB Output is correct
44 Correct 14 ms 2976 KB Output is correct
45 Correct 12 ms 3120 KB Output is correct
46 Correct 12 ms 2868 KB Output is correct
47 Correct 13 ms 2876 KB Output is correct
48 Correct 12 ms 2904 KB Output is correct
49 Correct 12 ms 2908 KB Output is correct
50 Correct 13 ms 2908 KB Output is correct
51 Correct 12 ms 2988 KB Output is correct
52 Correct 0 ms 360 KB Output is correct
53 Correct 14 ms 3012 KB Output is correct
54 Correct 14 ms 2908 KB Output is correct
55 Correct 13 ms 2896 KB Output is correct
56 Correct 12 ms 2900 KB Output is correct
57 Correct 12 ms 2900 KB Output is correct
58 Correct 13 ms 2908 KB Output is correct
59 Correct 13 ms 3004 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 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 464 KB Output is correct
66 Incorrect 0 ms 348 KB Output isn't correct
67 Halted 0 ms 0 KB -