Submission #373824

# Submission time Handle Problem Language Result Execution time Memory
373824 2021-03-05T20:45:53 Z MatheusLealV timeismoney (balkan11_timeismoney) C++17
100 / 100
1322 ms 1392 KB
#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< array<int, 5> > 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){
	//cout<<"A "<<L.f<<" "<<L.s<<" // "<<R.f<<" "<<R.s<<"\n";
	pii slope = {(L.s - R.s), (R.f - L.f)};
	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;
		swap(good, curr);
	}
	if(!cross(L, R, closest.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);
	if(R.s.f*R.s.s < ans.f){
		ans.f = R.s.f*R.s.s;
		ans.s=R.s;
		swap(good, curr);
	}
	auto L = get(1, 0);
	if(L.s.f*L.s.s < ans.f){
		ans.f = L.s.f*L.s.s;
		ans.s=L.s;
		swap(good, curr);
	}
	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";
	}
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 2 ms 492 KB Output is correct
8 Correct 9 ms 996 KB Output is correct
9 Correct 0 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 8 ms 364 KB Output is correct
15 Correct 5 ms 364 KB Output is correct
16 Correct 131 ms 492 KB Output is correct
17 Correct 141 ms 492 KB Output is correct
18 Correct 130 ms 620 KB Output is correct
19 Correct 1297 ms 1392 KB Output is correct
20 Correct 1322 ms 1256 KB Output is correct