This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const ll INF = 1e18;
const int MN = 100001;
int n, m;
struct Edge {
int cul, cost, dest;
};
vector<Edge> L[MN];
vector<pair<int, ll> > G[MN]; /// nod, cost
ll Cost[MN];
map<int, int> Fr[MN];
map<int, ll> Suma[MN];
map<int, pair<int, int> > Other[MN];
int main() {
cin >> n >> m;
for(int i = 1; i <= m; ++i) {
int u, v, c, w;
cin >> u >> v >> c >> w;
L[u].push_back({c, w, v});
L[v].push_back({c, w, u});
}
for(int i = 1; i <= n; ++i) {
for(auto it : L[i]) {
++Fr[i][it.cul];
Suma[i][it.cul] += it.cost;
}
for(auto &it : L[i]) {
it.cost = min((long long)it.cost, Suma[i][it.cul] - it.cost);
}
for(auto it : L[i]) {
if(Fr[i][it.cul] == 1) {
G[i].push_back(make_pair(it.dest, 0));
}
else {
if(Fr[i][it.cul] == 2) {
if(!Other[i].count(it.cul)) Other[i][it.cul] = make_pair(it.dest, it.cost);
else {
int a = Other[i][it.cul].first, b = it.dest, cul = it.cul;
ll ca = Other[i][it.cul].second, cb = it.cost, c = min(ca, cb);
if(Fr[a][cul] == 1)
G[a].push_back(make_pair(b, c));
else
G[a].push_back(make_pair(b, ca));
if(Fr[b][cul] == 1)
G[b].push_back(make_pair(a, c));
else
G[b].push_back(make_pair(a, cb));
}
}
G[i].push_back(make_pair(it.dest, it.cost));
}
}
}
priority_queue<pair<ll, int> > PQ;
PQ.push(make_pair(0ll, 1));
for(int i = 1; i <= n; ++i) Cost[i] = INF;
Cost[1] = 0;
while(!PQ.empty()) {
ll nod = PQ.top().second, cost = - PQ.top().first;
PQ.pop();
if(Cost[nod] != cost) continue;
for(auto [it, w] : G[nod]) {
if(Cost[it] > Cost[nod] + w) {
Cost[it] = Cost[nod] + w;
PQ.push(make_pair(-Cost[it], it));
}
}
}
if(Cost[n] == INF) {
cout << "-1\n";
} else {
cout << Cost[n] << "\n";
}
return 0;
}
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