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>
#define ll long long
#define ld long double
#define sp ' '
#define en '\n'
#define smin(a, b) a = min(a, b)
#define smax(a, b) a = max(a, b)
using namespace std;
const int N = 1e5 + 2;
const ll linf = 1e18;
map<int, vector<array<int, 2>>> g[N];
map<int, ll> sum[N], dist[N];
int col[2 * N], cost[2 * N];
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n, m;
cin >> n >> m;
for (int i = 0; i < m; i++) {
int u, v;
cin >> u >> v >> col[i] >> cost[i];
g[u][col[i]].push_back({v, i});
g[v][col[i]].push_back({u, i});
dist[u][col[i]] = dist[v][col[i]] = linf;
sum[u][col[i]] += cost[i];
sum[v][col[i]] += cost[i];
}
for (int i = 2; i <= n; i++) dist[i][0] = linf;
priority_queue<pair<ll, pair<int, int>>> pq;
pq.push({0, {1, 0}});
dist[1][0] = 0;
while (!pq.empty()) {
ll d = -pq.top().first;
int x = pq.top().second.first;
int y = pq.top().second.second;
pq.pop();
if (d > dist[x][y]) continue;
if (y > 0) {
for (auto u : g[x][y]) {
ll o = d + sum[x][y] - cost[u[1]];
if (dist[u[0]][0] > o) {
dist[u[0]][0] = o;
pq.push({-o, {u[0], 0}});
}
}
continue;
}
for (auto &uu : g[x]) {
int y = uu.first;
ll kk = sum[x][y];
for (auto u : uu.second) {
ll o = d + min((ll)cost[u[1]], kk - cost[u[1]]);
if (dist[u[0]][0] > o) {
dist[u[0]][0] = o;
pq.push({-o, {u[0], 0}});
}
if (dist[u[0]][y] > d) {
dist[u[0]][y] = d;
pq.push({-d, {u[0], y}});
}
}
}
}
if (dist[n][0] == linf) dist[n][0] = -1;
cout << dist[n][0] << en;
return 0;
}
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