Submission #634152

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
634152	2022-08-23T22:36:42 Z	Mazza	timeismoney (balkan11_timeismoney)	C++14	80 / 100	1315 ms	572 KB

timeismoney

//#pragma GCC optimize("Ofast")
//#pragma GCC optimization ("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
 
#define ll long long
#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<int> mstsol;
vector<int> currmst;
vi par,sizes;
struct dsu{
 

    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(sizes[a] < sizes[b]) swap(a,b);
        sizes[a] += sizes[b];
        par[b] = a;
    }
    dsu(int n){
        iota(par.begin(), par.end(), 0);
        sizes.assign(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.idx);
        }
    }
 
    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);
    par.resize(n);
    sizes.resize(n);
    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});
    }
    sort(edges.begin(), edges.end(), [&](const edge &a, const edge &b){
        return a.idx < b.idx;
    });
    cout << best.first << " " << best.second << "\n";
    for(int &a:mstsol){
        cout << edges[a].a << " " << edges[a].b << "\n";
    }
 
	return 0;
}

Subtask #1

80.0 / 100.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	0 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	1 ms	212 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	1 ms	340 KB	Output is correct
8	Correct	5 ms	572 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 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	11 ms	328 KB	Output isn't correct
15	Incorrect	7 ms	212 KB	Output isn't correct
16	Correct	54 ms	340 KB	Output is correct
17	Correct	57 ms	348 KB	Output is correct
18	Correct	52 ms	340 KB	Output is correct
19	Incorrect	1296 ms	468 KB	Output isn't correct
20	Incorrect	1315 ms	468 KB	Output isn't correct