Submission #886788

# Submission time Handle Problem Language Result Execution time Memory
886788 2023-12-12T23:33:15 Z WonderfulWhale timeismoney (balkan11_timeismoney) C++17
100 / 100
1893 ms 1740 KB
#include<bits/stdc++.h>
using namespace std;

#define int int64_t
#define pb push_back
#define pii pair<int, int>
#define st first
#define nd second
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()

int n, m;
vector<pair<int, pii>> G[209];
vector<pair<pii, pii>> edges;
vector<int> cur;
vector<int> G2[209];
bool used[10009];

bool vis[209];

int p[209];
int Find(int x) {
	return p[x]==x?x:p[x]=Find(p[x]);
}
void Union(int a, int b) {
	p[Find(a)] = Find(b);
}

void dfs(int x, int y) {
	vis[x] = true;
	for(int z:G2[x])
		if(z!=y) 
			dfs(z, x);
}

bool improve() {
	int sum1=0, sum2=0;
	for(int i=0;i<n;i++) G2[i].clear();
	for(int i=0;i<n-1;i++) {
		auto e = edges[cur[i]];
		G2[e.st.st].pb(e.st.nd);
		G2[e.st.nd].pb(e.st.st);
		sum1 += e.nd.st, sum2 += e.nd.nd;
	}
	tuple<int, int, int> Opt = {-1, -1, sum1*sum2};
	for(int i=0;i<n-1;i++) {
		auto e = edges[cur[i]];
		memset(vis, 0, sizeof(vis));
		dfs(e.st.st, e.st.nd);
		for(int j=0;j<m;j++) {
			if(!used[j]) {
				auto ne = edges[j];
				if(vis[ne.st.st]^vis[ne.st.nd]) {
					int nsum1 = sum1-e.nd.st+ne.nd.st;
					int nsum2 = sum2-e.nd.nd+ne.nd.nd;
					if(nsum1*nsum2<(get<2>(Opt))) {
						Opt = {i, j, nsum1*nsum2};
					}
				}
			}
		}
	}
	if(get<0>(Opt)==-1) return false;
	auto [a, b, c] = Opt;
	used[cur[a]] = false;
	cur[a] = b;
	used[b] = true;
	return true;
}
	
int32_t main() {
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);

	srand(666);

	cin >> n >> m;
	for(int i=0;i<m;i++) {
		int a, b, c, d;
		cin >> a >> b >> c >> d;
		G[a].pb({b, {c, d}});
		G[b].pb({a, {c, d}});
		edges.pb({{c, d}, {a, b}});
	}
	int SUM1=1e9, SUM2=1e9;
	vector<pii> ANS;
	for(int k=0;k<3;k++) {
		iota(p, p+n, 0);
		if(k==0) {
			sort(all(edges));
			for(auto &[x, y]:edges) swap(x, y);
		} else if(k==1) {
			for(auto &[x, y]:edges) {
				swap(x, y);
				swap(x.st, x.nd);
			}
			sort(all(edges));
			for(auto &[x, y]:edges) swap(x, y);
		} else if(k==2) {
			for(auto &[x, y]:edges) {
				swap(x, y);
				x.st *= x.nd;
			}
			sort(all(edges));
			for(auto &[x, y]:edges) {
				x.st /= x.nd;
				swap(x, y);
			}
		}
		cur.clear();
		memset(used, 0, sizeof(used));
		for(int i=0;i<m;i++) {
			auto [x, y] = edges[i];
			if(Find(x.st)!=Find(x.nd)) {
				used[i] = true;
				cur.pb(i);
				Union(x.st, x.nd);
			} 
		}
		while(improve()) {}
		int sum1=0, sum2=0;
		vector<pii> ans;
		for(int x:cur) {
			sum1 += edges[x].nd.st;
			sum2 += edges[x].nd.nd;
			ans.pb(edges[x].st);
		}
		if(sum1*sum2<SUM1*SUM2) {
			SUM1 = sum1;
			SUM2 = sum2;
			ANS = ans;
		}
	}
	// cout << SUM1*SUM2 << "\n";
	cout << SUM1 << " " << SUM2 << "\n";
	for(pii x:ANS) cout << x.st << " " << x.nd << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 5 ms 604 KB Output is correct
8 Correct 15 ms 1492 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 15 ms 348 KB Output is correct
15 Correct 18 ms 540 KB Output is correct
16 Correct 258 ms 708 KB Output is correct
17 Correct 262 ms 692 KB Output is correct
18 Correct 165 ms 604 KB Output is correct
19 Correct 1893 ms 1516 KB Output is correct
20 Correct 1564 ms 1740 KB Output is correct