답안 #634146

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
634146 2022-08-23T22:11:29 Z Mazza 시간이 돈 (balkan11_timeismoney) C++14
80 / 100
1358 ms 596 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<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);
}
int 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;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 320 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 328 KB Output is correct
8 Correct 5 ms 596 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 320 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 320 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Incorrect 11 ms 340 KB Output isn't correct
15 Incorrect 8 ms 320 KB Output isn't correct
16 Correct 53 ms 332 KB Output is correct
17 Correct 57 ms 340 KB Output is correct
18 Correct 55 ms 340 KB Output is correct
19 Incorrect 1358 ms 596 KB Output isn't correct
20 Incorrect 1338 ms 588 KB Output isn't correct