Submission #373520

#	Time	Username	Problem	Language	Result	Execution time	Memory
373520		MatheusLealV	timeismoney (balkan11_timeismoney)	C++17	45 / 100	2086 ms	4564 KiB

timeismoney

#include <bits/stdc++.h>
#define N 210
#define f first
#define s second
#define pb push_back
#define mp make_pair
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
using namespace std;
typedef pair<int, int> pii;

int n, m;
vector<pair<int, pii> > grafo[N];
int pai[N], peso[N];
int Find(int x){
	if(x == pai[x]) return x;
	return pai[x] = Find(pai[x]);
}
bool join(int a, int b){
	a = Find(a);
	b = Find(b);
	if(a==b) return 0;
	if(peso[a]<peso[b])swap(a,b);
	pai[b]=a;
	if(peso[a]==peso[b])peso[a]++;
	return 1;
}
vector< pii > good, curr;
pair<int,pii> get(int A, int B){
	// cout<<"sss "<<A<<" "<<B<<"\n";
	vector< vector<int> > arestas;
	curr.clear();
	for(int i = 1; i <= n; i++){
		pai[i]=i,peso[i] = 0;
		for(auto v: grafo[i]){
			int cost = A*v.s.f + B*v.s.s;
			arestas.pb({cost, v.s.f, v.s.s, i, v.f});
		}
	}
	int x = 0, y = 0, resp=0;
	sort(all(arestas));
	for(auto e: arestas){
		int cost = e[0], xi = e[1], yi = e[2], a = e[3], b = e[4];
		if(join(a, b)){
			curr.pb({a, b});
			x += xi;
			y += yi;
			resp += cost;
		}
	}
	return mp(resp, pii(x, y));
}
bool cross(pii A, pii B, pii C){
	return 1LL*(A.f - C.f)*(B.s - C.s) - 1LL*(A.s - C.s)*(B.f - C.f) != 0LL;
}
auto ans = mp((int)(1e9),pii(-1,-1));
void solve(pii L, pii R){
	pii slope = {(L.s - R.s), (R.f - L.f)};
	int d = __gcd(slope.f, slope.s);
	slope.f /= d;
	slope.s /= d;
	auto closest = get(slope.f, slope.s);
	if(closest.s.f * closest.s.s < ans.f){
		ans.f = closest.s.f*closest.s.s;
		ans.s = closest.s;
		good=curr;
	}
	if(!cross(L, R, closest.s)) return;

	//checa em qual semiplano ta
	if(slope.f*closest.s.f + slope.s*closest.s.s >= slope.f*L.f + slope.s*L.s) return; 
	if(slope.f*closest.s.f + slope.s*closest.s.s >= slope.f*R.f + slope.s*R.s) return; 
	solve(L, closest.s),solve(closest.s, R);
}
int32_t main(){
	ios::sync_with_stdio(false); cin.tie(0);
	cin>>n>>m;
	for(int i = 1; i <= m; i++){
		int a, b,c,d;
		cin>>a>>b>>c>>d;
		a++,b++;
		grafo[a].push_back({b, {c, d}});
		grafo[b].push_back({a, {c, d}});
	}
	auto R = get(0, 1), L = get(1, 0);
	solve(L.s, R.s);
	cout<<ans.s.f<<" "<<ans.s.s<<"\n";
	for(auto e: good){
		cout<<e.f-1<<" "<<e.s-1<<"\n";
	}
}

• Subtask 1: 45 / 100