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Submission #997518

# Submission time Handle Problem Language Result Execution time Memory
997518 2024-06-12T12:54:36 Z hengliao Portal (BOI24_portal) C++17
11 / 100
 37 ms 6644 KB 
#include<bits/stdc++.h>
#include <chrono>
#include <random>
using namespace std;

#define F first
#define S second
#define pb push_back
#define vll vector<ll>
#define pll pair<ll, ll>
typedef long long ll;

struct P{
    ll x, y;

    bool operator< (const P &tar) const{
        if(x!=tar.x){
            return x<tar.x;
        }
        return y<tar.y;
    }
};

void solve(){
	ll n;
    cin>>n;
    vector<P> p(n);
    for(auto &it:p){
        cin>>it.x>>it.y;
    }
    if(n==1){
        cout<<"-1\n";
        return;
    }
    sort(p.begin(), p.end());
    set<ll> st;
    for(auto &it:p){
        st.insert(it.x);
    }
    if(st.size()<=1){
        cout<<"-1\n";
        return;
    }
    ll gcd1=(*prev(st.end()))-(*st.begin());
    ll pre=(*st.begin());
    for(auto &it:st){
        if(it==*st.begin()) continue;
        gcd1=__gcd(gcd1, it-pre);
        pre=it;
    }
    st.clear();
    for(auto &it:p){
        st.insert(it.y);
    }
    if(st.size()<=1){
        cout<<"-1\n";
        return;
    }
    ll gcd2=(*prev(st.end()))-(*st.begin());
    pre=(*st.begin());
    for(auto &it:st){
        if(it==*st.begin()) continue;
        gcd2=__gcd(gcd2, it-pre);
        pre=it;
    }
    bool type1=1;
    pll comp={(p[1].x-p[0].x)/gcd1, (p[1].y-p[0].y)/gcd2};
    for(ll i=2;i<n;i++){
        ll f=(p[i].x-p[0].x)/gcd1;
        ll s=(p[i].y-p[0].y)/gcd2;
        if(comp.F!=f || comp.S!=s){
            type1=0;
            break;
        }
    }
    if(type1){
        cout<<"-1\n";
        return;
    }
    bool type2=1;
    for(ll i=1;i<n;i++){
        ll f=(p[i].x-p[0].x)/gcd1;
        ll s=(p[i].y-p[0].y)/gcd2;
        if((abs(f+s))%2!=0){
            type2=0;
            break;
        }
    }
    if(type2){
        cout<<gcd1*gcd2*2<<'\n';
        return;
    }
    cout<<gcd1*gcd2<<'\n';
    return;
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

	solve();
	return 0;
}

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 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 344 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 348 KB Output is correct

Subtask #2
0 / 10.0

# 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 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 344 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 348 KB Output is correct
19 Correct 0 ms 388 KB Output is correct
20 Incorrect 0 ms 348 KB Output isn't correct
21 Halted 0 ms 0 KB -

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 22 ms 2032 KB Output is correct
3 Correct 23 ms 2024 KB Output is correct
4 Correct 29 ms 2028 KB Output is correct
5 Correct 24 ms 1880 KB Output is correct
6 Correct 25 ms 1884 KB Output is correct
7 Correct 37 ms 6492 KB Output is correct
8 Correct 37 ms 6616 KB Output is correct
9 Correct 33 ms 6644 KB Output is correct
10 Correct 31 ms 4184 KB Output is correct
11 Correct 30 ms 4180 KB Output is correct
12 Correct 30 ms 4368 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 22 ms 2028 KB Output is correct
15 Correct 28 ms 1884 KB Output is correct
16 Correct 29 ms 2024 KB Output is correct
17 Correct 24 ms 1884 KB Output is correct
18 Correct 22 ms 2036 KB Output is correct
19 Correct 23 ms 1884 KB Output is correct
20 Correct 22 ms 1880 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 388 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Incorrect 0 ms 348 KB Output isn't correct
6 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 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 344 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 348 KB Output is correct
19 Correct 0 ms 388 KB Output is correct
20 Incorrect 0 ms 348 KB Output isn't correct
21 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 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 344 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 348 KB Output is correct
19 Correct 0 ms 388 KB Output is correct
20 Incorrect 0 ms 348 KB Output isn't correct
21 Halted 0 ms 0 KB -