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Submission #1012583

# Submission time Handle Problem Language Result Execution time Memory
1012583 2024-07-02T11:04:54 Z ttamx Portal (BOI24_portal) C++17
21 / 100
 25 ms 3436 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 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-b.x*a.y;}

// ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}

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

pair<Point,Point> gcd2(Point u,Point v,Point q){
    if(cross(u,v)==0)return {gcd(u,v),q};
    if(cross(u,q)==0)return {gcd(u,q),v};
    if(cross(v,q)==0)return {u,gcd(v,q)};
    ll d=cross(u,v);
    ll a=cross(q,v)/d;
    ll b=cross(u,q)/d;
    Point r=q-(u*a)-(v*b);
    assert(abs(cross(u,r))<abs(cross(u,v)));
    return gcd2(u,r,v);

}

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];
    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++)tie(u,v)=gcd2(u,v,p[i]);
    cout << abs(cross(u,v));
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 428 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 440 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 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 352 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 428 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 440 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 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 352 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 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 1 ms 348 KB Output is correct
26 Correct 0 ms 464 KB Output is correct
27 Correct 1 ms 344 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 1 ms 348 KB Output is correct
36 Correct 0 ms 464 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

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 14 ms 3416 KB Output is correct
3 Correct 14 ms 3424 KB Output is correct
4 Correct 14 ms 3344 KB Output is correct
5 Correct 16 ms 3372 KB Output is correct
6 Correct 14 ms 3388 KB Output is correct
7 Correct 11 ms 3420 KB Output is correct
8 Correct 12 ms 3288 KB Output is correct
9 Correct 12 ms 3416 KB Output is correct
10 Correct 13 ms 3416 KB Output is correct
11 Correct 13 ms 3204 KB Output is correct
12 Correct 17 ms 3420 KB Output is correct
13 Correct 0 ms 604 KB Output is correct
14 Correct 25 ms 3436 KB Output is correct
15 Correct 24 ms 3416 KB Output is correct
16 Correct 25 ms 3420 KB Output is correct
17 Correct 14 ms 3420 KB Output is correct
18 Correct 13 ms 3252 KB Output is correct
19 Correct 23 ms 3412 KB Output is correct
20 Correct 14 ms 3420 KB Output is correct

Subtask #4
0 / 29.0

# 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 604 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Incorrect 0 ms 344 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #5
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 428 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 440 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 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 352 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 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 1 ms 348 KB Output is correct
26 Correct 0 ms 464 KB Output is correct
27 Correct 1 ms 344 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 1 ms 348 KB Output is correct
36 Correct 0 ms 464 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 0 ms 348 KB Output is correct
42 Correct 0 ms 604 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Incorrect 0 ms 344 KB Output isn't correct
47 Halted 0 ms 0 KB -

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 428 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 440 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 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 352 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 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 1 ms 348 KB Output is correct
26 Correct 0 ms 464 KB Output is correct
27 Correct 1 ms 344 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 1 ms 348 KB Output is correct
36 Correct 0 ms 464 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 14 ms 3416 KB Output is correct
42 Correct 14 ms 3424 KB Output is correct
43 Correct 14 ms 3344 KB Output is correct
44 Correct 16 ms 3372 KB Output is correct
45 Correct 14 ms 3388 KB Output is correct
46 Correct 11 ms 3420 KB Output is correct
47 Correct 12 ms 3288 KB Output is correct
48 Correct 12 ms 3416 KB Output is correct
49 Correct 13 ms 3416 KB Output is correct
50 Correct 13 ms 3204 KB Output is correct
51 Correct 17 ms 3420 KB Output is correct
52 Correct 0 ms 604 KB Output is correct
53 Correct 25 ms 3436 KB Output is correct
54 Correct 24 ms 3416 KB Output is correct
55 Correct 25 ms 3420 KB Output is correct
56 Correct 14 ms 3420 KB Output is correct
57 Correct 13 ms 3252 KB Output is correct
58 Correct 23 ms 3412 KB Output is correct
59 Correct 14 ms 3420 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 604 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 1 ms 348 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Incorrect 0 ms 344 KB Output isn't correct
67 Halted 0 ms 0 KB -