답안 #634151

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
634151 2022-08-23T22:36:06 Z Mazza 시간이 돈 (balkan11_timeismoney) C++14
80 / 100
1278 ms 568 KB
#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;
}
# 결과 실행 시간 메모리 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 1 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 468 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 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Incorrect 11 ms 332 KB Output isn't correct
15 Incorrect 8 ms 212 KB Output isn't correct
16 Correct 51 ms 352 KB Output is correct
17 Correct 54 ms 352 KB Output is correct
18 Correct 49 ms 340 KB Output is correct
19 Incorrect 1278 ms 468 KB Output isn't correct
20 Incorrect 1266 ms 568 KB Output isn't correct