#include <bits/stdc++.h>
using namespace std;
#define int ll
#define f first
#define s second
#define pb push_back
#define ar array
#define all(x) x.begin(), x.end()
#define siz(x) (int)x.size()
#define FOR(x, y, z) for(int x = (y); x < (z); x++)
#define ROF(x, z, y) for(int x = (y-1); x >= (z); x--)
#define F0R(x, z) FOR(x, 0, z)
#define R0F(x, z) ROF(x, 0, z)
#define trav(x, y) for(auto&x:y)
using ll = long long;
using vi = vector<int>;
using vl = vector<long long>;
using pii = pair<int, int>;
using vpii = vector<pair<int, int>>;
using ld = long double;
template<class T> inline bool ckmin(T&a, T b) {return b < a ? a = b, 1 : 0;}
template<class T> inline bool ckmax(T&a, T b) {return b > a ? a = b, 1 : 0;}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const char nl = '\n';
const int mxN = 201;
const int MOD = 1e5 + 10;
const long long infLL = 1e18;
int n, m;
struct dsu{
int n; vector<int> sz, par;
void init(int _n){
n = _n; sz.resize(n); par.resize(n);
F0R(i, n) sz[i] = 1, par[i] = i;
}
int find(int x){ return par[x] = ( x == par[x] ? par[x] : find(par[x])); }
void comb(int a, int b) {
a=find(a); b=find(b);
if(a!=b) {if(sz[a]<sz[b]) swap(a, b); sz[a]+=sz[b]; par[b] = a; }
}
};
struct edge{
int x, y;
int w1, w2;
ld w;
} e[mxN];
pair<ll, vi> solve(ld ratio){
dsu q;
q.init(n);
trav(it, e) it.w = ratio*it.w1+(MOD-ratio)*it.w2;
sort(e, e+m, [](edge A, edge B){
return A.w < B.w;
});
vi res;
ll s1 = 0;
ll s2 = 0;
F0R(i, m){
if(q.find(e[i].x)!=q.find(e[i].y)){
q.comb(e[i].x, e[i].y);
res.pb(i);
s1 += e[i].w1;
s2 += e[i].w2;
}
}
return {s1*s2, res};
}
int32_t main(){
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> n >> m;
F0R(i, m){
cin >> e[i].x >> e[i].y >> e[i].w1 >> e[i].w2;
}
ld lo = 0, hi = MOD;
while(abs(lo-hi)<1e-7){
ld mid1 = (lo*2+hi)/3;
ld mid2 = (lo+2*hi)/3;
if(solve(mid1)<solve(mid2)){
hi = mid2;
}
else{
lo = mid1;
}
}
vi ans = solve(lo).s;
ll fin[2] = {0, 0};
trav(x, ans){
fin[0] += e[x].w1;
fin[1] += e[x].w2;
}
cout << fin[0] << ' ' << fin[1] << nl;
trav(x, ans) cout << e[x].x << ' ' << e[x].y << nl;
return 0;
}
# |
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 |
364 KB |
Output is correct |
5 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
6 |
Runtime error |
1 ms |
492 KB |
Execution killed with signal 11 |
7 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
8 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
9 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
12 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
13 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
14 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
15 |
Runtime error |
1 ms |
492 KB |
Execution killed with signal 11 |
16 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
17 |
Runtime error |
1 ms |
492 KB |
Execution killed with signal 11 |
18 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
19 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
20 |
Runtime error |
1 ms |
492 KB |
Execution killed with signal 11 |