#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=2;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 |
1 ms |
348 KB |
Output is correct |
| 3 |
Correct |
1 ms |
344 KB |
Output is correct |
| 4 |
Correct |
1 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 |
10 ms |
1528 KB |
Output is correct |
| 9 |
Correct |
0 ms |
348 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
596 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
4 ms |
348 KB |
Output is correct |
| 15 |
Correct |
3 ms |
348 KB |
Output is correct |
| 16 |
Correct |
75 ms |
604 KB |
Output is correct |
| 17 |
Incorrect |
69 ms |
600 KB |
Output isn't correct |
| 18 |
Incorrect |
71 ms |
604 KB |
Output isn't correct |
| 19 |
Correct |
390 ms |
1520 KB |
Output is correct |
| 20 |
Correct |
541 ms |
1500 KB |
Output is correct |
