Submission #886786

# Submission time Handle Problem Language Result Execution time Memory
886786 2023-12-12T23:28:26 Z WonderfulWhale timeismoney (balkan11_timeismoney) C++17
85 / 100
756 ms 1528 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({{a, b}, {c, d}});
		edges.pb({{c, d}, {a, b}});
	}
	int SUM1=1e9, SUM2=1e9;
	vector<pii> ANS;
	for(int k=0;k<1;k++) {
		iota(p, p+n, 0);
		sort(all(edges));
		for(auto &[x, y]:edges) swap(x, y);
		// random_shuffle(all(edges));
		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 2 ms 604 KB Output is correct
8 Correct 7 ms 1496 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Incorrect 1 ms 600 KB Output isn't correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 10 ms 348 KB Output is correct
15 Correct 10 ms 344 KB Output is correct
16 Correct 78 ms 712 KB Output is correct
17 Correct 95 ms 604 KB Output is correct
18 Correct 42 ms 604 KB Output is correct
19 Incorrect 756 ms 1528 KB Output isn't correct
20 Incorrect 625 ms 1504 KB Output isn't correct