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;
#define f first
#define s second
#define sz(x) (int) x.size()
#define all(x) x.begin(), x.end()
typedef long long ll;
typedef pair <int, int> ii;
const int N = 2e5 + 1;
const int mod = 998244353;
struct DT {
ll w; int ver, c;
bool operator > (const DT other) const {
return w > other.w;
}
};
map <int, ll> dp2[N];
map<int, vector <ii>> ed[N];
void solve() {
int n, m; cin >> n >> m;
map <ii, ll> sve;
for(int i = 0; i < m; i++) {
int u, v, c, d;
cin >> u >> v >> c >> d;
ed[u][c].push_back({v, d});
ed[v][c].push_back({u, d});
sve[{u, c}] += d;
sve[{v, c}] += d;
}
vector <ll> dp1(n + 1, 1e18);
priority_queue <DT, vector <DT>, greater <DT>> pq;
pq.push({0, 1, 0});
dp1[1] = 0;
while (sz(pq)) {
ll w = pq.top().w;
int u = pq.top().ver, c = pq.top().c;
pq.pop();
if (c) {
if (dp2[u][c] != w) continue;
for(auto x: ed[u][c]) {
int v = x.f, _d = sve[{u, c}] - x.s;
if (dp1[v] > w + _d) {
dp1[v] = w + _d;
pq.push({dp1[v], v, 0});
}
}
} else {
if (dp1[u] != w) continue;
for(map <int, vector<ii>>::iterator it = ed[u].begin(); it != ed[u].end(); it++) {
for(auto x: it -> second) {
int v = x.f, c = it -> f;
ll _d = x.s;
if (dp1[v] > w + min(_d, sve[{u, c}] - _d)) {
dp1[v] = w + min(_d, sve[{u, c}] - _d);
pq.push({dp1[v], v, 0});
}
if (dp2[v][c] > w || dp2[v].find(c) == dp2[v].end()) {
dp2[v][c] = w;
pq.push({w, v, c});
}
}
}
}
}
cout << (dp1[n] != 1e18 ? dp1[n] : -1) << "\n";
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
// freopen("ROBOT.INP", "r", stdin);
// freopen("ROBOT.OUT", "w", stdout);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
return 0;
}
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