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- #include <bits/stdc++.h>
- using namespace std;
- #define fixed(n) fixed << setprecision(n)
- #define ceil(n, m) (((n) + (m) - 1) / (m))
- #define add_mod(a, b, m) (((a % m) + (b % m)) % m)
- #define sub_mod(a, b, m) (((a % m) - (b % m) + m) % m)
- #define mul_mod(a, b, m) (((a % m) * (b % m)) % m)
- #define all(vec) vec.begin(), vec.end()
- #define rall(vec) vec.rbegin(), vec.rend()
- #define sz(x) int(x.size())
- #define debug(x) cout << #x << ": " << (x) << "\n";
- #define fi first
- #define se second
- #define ll long long
- #define ull unsigned long long
- #define EPS 1e-9
- constexpr int INF = 1 << 30, Mod = 1e9 + 7;
- constexpr ll LINF = 1LL << 62;
- #define PI acos(-1)
- template < typename T = int > using Pair = pair < T, T >;
- vector < string > RET = {"NO", "YES"};
- template < typename T = int > istream& operator >> (istream &in, vector < T > &v) {
- for (auto &x : v) in >> x;
- return in;
- }
- template < typename T = int > ostream& operator << (ostream &out, const vector < T > &v) {
- for (const T &x : v) out << x << ' ';
- return out;
- }
- template < typename T = int, int Base = 1 > struct DSU {
- vector < T > parent, Gsize;
- DSU(int MaxNodes){
- parent = Gsize = vector < T > (MaxNodes + 5);
- for(int i = Base; i <= MaxNodes; i++)
- parent[i] = i, Gsize[i] = 1;
- }
- T find_leader(int node){
- return parent[node] = (parent[node] == node ? node : find_leader(parent[node]));
- }
- bool is_same_sets(int u, int v){
- return find_leader(u) == find_leader(v);
- }
- void union_sets(int u, int v){
- int leader_u = find_leader(u), leader_v = find_leader(v);
- if(leader_u == leader_v) return;
- if(Gsize[leader_u] < Gsize[leader_v]) swap(leader_u, leader_v);
- Gsize[leader_u] += Gsize[leader_v], parent[leader_v] = leader_u;
- }
- int get_size(int u){
- return Gsize[find_leader(u)];
- }
- };
- struct Edge {
- ll u, v, g, s;
- Edge(ll U = 0, ll V = 0, ll G = 0, ll S = 0) : u(U), v(V), g(G), s(S) {}
- bool operator < (const Edge &other) const {
- return g < other.g;
- }
- };
- void Solve(){
- int n, m;
- cin >> n >> m;
- ll G, S;
- cin >> G >> S;
- vector < Edge > edges(m);
- for(auto& [u, v, g, s] : edges)
- cin >> u >> v >> g >> s;
- sort(all(edges));
- vector < Edge > MST;
- ll MinCost = LINF;
- for(int i = 0; i < m; i++){
- MST.push_back(edges[i]);
- sort(all(MST), [](Edge a, Edge b){
- return a.s < b.s;
- });
- DSU < ll > dsu(n);
- vector < Edge > temp;
- for(auto& [u, v, g, s] : MST){
- if(!dsu.is_same_sets(u, v)){
- dsu.union_sets(u, v);
- temp.push_back({u, v, g, s});
- }
- }
- MST = temp;
- if(sz(MST) == n - 1)
- MinCost = min(MinCost, edges[i].g * G + MST.back().s * S);
- }
- if(MinCost == LINF) cout << "LOSHA_FAILED\n";
- else cout << MinCost << "\n";
- }
- int main(){
- ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
- int test_cases = 1;
- // cin >> test_cases;
- for(int tc = 1; tc <= test_cases; tc++){
- // cout << "Case #" << tc << ": ";
- Solve();
- }
- return 0;
- }
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