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 = 1E12;
int used[50505];
vector<array<int, 4>> edges;
vector<ll> dijkstra(int N, int start, vector<vector<array<int, 4>>> &adj, int p = 0) {
vector<ll> dist(N, INF);
vector<int> check(N, 0);
vector<int> prv(N, -1);
dist[start] = 0;
priority_queue<pair<ll, ll>, vector<pair<ll, ll>>, greater<>> pq;
for (int rep = 0; rep < N; rep++) {
int cur = -1;
ll totalCost = INF;
for (int i = 0; i < N; i++) {
if (!check[i] && dist[i] < totalCost) {
cur = i;
totalCost = dist[i];
}
}
if (cur == -1) {
break;
}
check[cur] = 1;
for (auto &[nxt, cst, _, idx] : adj[cur]) {
if (dist[nxt] > dist[cur] + cst) {
dist[nxt] = dist[cur] + cst;
prv[nxt] = idx;
}
}
}
if (0 && p && dist[N - 1 - start] != INF) {
for (int cur = N - 1 - start; prv[cur] != -1; cur = edges[prv[cur]][0]) {
used[prv[cur]] = 1;
}
}
return dist;
}
int main() {
ios_base::sync_with_stdio(0), cin.tie(0);
int N, M;
cin >> N >> M;
vector<vector<array<int, 4>>> adj(N), rev(N);
for (int i = 0; i < M; i++) {
int x, y, z, w;
cin >> x >> y >> z >> w;
x--; y--;
edges.push_back({ x, y, z, w });
adj[x].push_back({ y, z, w, i });
rev[y].push_back({ x, z, w, i });
}
// dist0 : 0 -> i
// dist1 : N - 1 - > i
// dist2 : i -> 0
// dist3 : i -> N - 1
auto dist0 = dijkstra(N, 0, adj, 1);
auto dist1 = dijkstra(N, N - 1, adj, 1);
auto dist2 = dijkstra(N, 0, rev);
auto dist3 = dijkstra(N, N - 1, rev);
const ll ML = 1200000000;
ll ans = dist0[N - 1] + dist1[0];
for (int i = 0; i < M; i++) {
auto &[u, v, cst, inv] = edges[i];
if (used[i]) {
swap(u, v);
adj[u].erase(find(adj[u].begin(), adj[u].end(), edges[i]));
adj[v].push_back({ u, cst, inv, i });
auto p = dijkstra(N, 0, adj);
auto q = dijkstra(N, N - 1, adj);
adj[u].push_back({ v, cst, inv, i });
swap(edges[i][0], edges[i][1]);
adj[v].erase(find(adj[v].begin(), adj[v].end(), edges[i]));
swap(edges[i][0], edges[i][1]);
ans = min(ans, p[N - 1] + q[0] + inv);
swap(u, v);
continue;
}
int c_ = cst + inv;
ans = min(ans, min(dist0[N - 1], dist0[v] + dist3[u] + c_) + min(dist1[v] + dist2[u] + c_, dist1[0]));
}
if (ans > ML) {
cout << -1 << "\n";
} else {
cout << ans << "\n";
}
return 0;
}
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