Submission #634147

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
634147	2022-08-23T22:14:14 Z	Mazza	timeismoney (balkan11_timeismoney)	C++14	80 / 100	1390 ms	804 KB

timeismoney

#pragma GCC optimize("Ofast")
//#pragma GCC optimization ("unroll-loops")
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define int ll
#define vi vector<int>
#define vv vector<vi>
#define pb push_back
#define pi pair<int,int>
#define vvp vector<vector<pi>>

    int n,m;
struct edge{
    int a,b,t,c,idx;
};
vector<edge> edges;
vector<int> weight;
pi sol;
vector<pi> mstsol;
vector<pi> currmst;
struct dsu{

    vi par,size;
    int find(int i){
        return par[i] == i ? i : par[i] = find(par[i]);
    }
    void uni(int a, int b){
        a = find(a); b = find(b);
        if(a == b) return;
        if(size[a] < size[b]) swap(a,b);
        size[a] += size[b];
        par[b] = a;
    }
    dsu(int n){
        par.resize(n);
        iota(par.begin(), par.end(), 0);
        size.resize(n,1);
    }
};
pi solve(){
    sort(edges.begin(), edges.end(), [&](const edge &a, const edge &b){
        return weight[a.idx] < weight[b.idx];
    });

    dsu d(n);
    int tcost = 0, ccost = 0;
    currmst.clear();
    for(int i = 0; i < m; i++){
        edge &a = edges[i];
        if(d.find(a.a) != d.find(a.b)){
            tcost += a.t; ccost += a.c;
            d.uni(a.a, a.b);
            currmst.pb({a.a, a.b});
        }
    }

    return {tcost, ccost};
}
pi sub(pi a, pi b){
    return {a.first - b.first, a.second - b.second};
}
bool sopra(pi a, pi b){
    return (a.first * b.second - a.second * b.first >= 0);
}
signed main()
{
    cin.tie(0); cin.sync_with_stdio(0);cout.tie(0); cout.sync_with_stdio(0);
    cin>>n>>m;
    edges.resize(m); weight.resize(m);
    for(int i = 0; i < m; i++){
        edge a;
        cin>>a.a>>a.b>>a.t>>a.c;
        a.idx = i;
        edges[i] = a;
    }
    
    //soluzione ottimale per t
    for(int i = 0; i < m; i++){
        int idx = edges[i].idx;
        weight[idx] = edges[i].t;
    }
    pi a = solve();
    pi best = a;
    mstsol = currmst;

    //soluzione ottimale per c
    for(int i = 0; i < m; i++){
        int idx = edges[i].idx;
        weight[idx] = edges[i].c;
    }

    pi b = solve();
    //swap a e b se b best
    //area triangolo negativa quindi minimizzo per la migliore
    if((ll)best.first * best.second > (ll)b.first * b.second){
        best = b;
        mstsol = currmst;
        swap(a,b);
    }

    stack<pair<pi,pi>> s; s.push({a,b});
    while(!s.empty()){
        //change wwight
        a = s.top().first, b = s.top().second;
        s.pop();
        for(int i = 0; i < m; i++){
            int idx = edges[i].idx;
            weight[idx] = edges[i].c * (b.first - a.first) - edges[i].t * (b.second - a.second);
        }
        //run mst
        pi p = solve();
        //sopra retta a-b, punto peggiore
        if(sopra(sub(b,a), sub(p,a)) ){
            continue;
        }

        if((ll)best.first * best.second > (ll)p.first * p.second){
            best = p;
            mstsol = currmst;
        }

        s.push({a,p});
        s.push({p,b});
    }

    cout << best.first << " " << best.second << "\n";
    for(pi &a:mstsol){
        cout << a.first << " " << a.second << "\n";
    }

	return 0;
}

Subtask #1

80.0 / 100.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	340 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	0 ms	212 KB	Output is correct
5	Correct	0 ms	340 KB	Output is correct
6	Correct	0 ms	340 KB	Output is correct
7	Correct	1 ms	340 KB	Output is correct
8	Correct	4 ms	804 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	0 ms	212 KB	Output is correct
12	Correct	1 ms	212 KB	Output is correct
13	Correct	1 ms	212 KB	Output is correct
14	Incorrect	13 ms	340 KB	Output isn't correct
15	Incorrect	8 ms	340 KB	Output isn't correct
16	Correct	51 ms	340 KB	Output is correct
17	Correct	54 ms	416 KB	Output is correct
18	Correct	51 ms	340 KB	Output is correct
19	Incorrect	1377 ms	724 KB	Output isn't correct
20	Incorrect	1390 ms	724 KB	Output isn't correct