이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
#ifdef ngu
#include "debug.h"
#else
#define debug(...) 42
#endif
const int N = 205;
const int M = 50005;
const int INF = (int) 1e9;
int n, m;
int D[N], d[N][N];
int from[N];
int c[M], cost[M];
bool on_tree[M];
vector<pair<int, int>> g[N];
pair<int, int> edge[M];
void dijkstra(int s, int d[], vector<pair<int, int>> g[N]) {
fill(d + 1, d + n + 1, INF);
using T = pair<int, int>;
priority_queue<T, vector<T>, greater<T>> pq;
d[s] = 0;
pq.emplace(0, s);
while (pq.size()) {
auto [x, u] = pq.top();
pq.pop();
if (d[u] == x) {
for (auto [v, id] : g[u]) {
if (d[v] > x + c[id]) {
from[v] = id;
pq.emplace(d[v] = x + c[id], v);
}
}
}
}
for (int i = 1; i <= n; ++i) {
on_tree[from[i]] = true;
}
}
int get_dist(int s, int t) {
fill(D + 1, D + n + 1, INF);
using T = pair<int, int>;
priority_queue<T, vector<T>, greater<T>> pq;
D[s] = 0;
pq.emplace(0, s);
while (pq.size()) {
auto [x, u] = pq.top();
pq.pop();
if (D[u] == x) {
for (auto [v, id] : g[u]) {
if (D[v] > x + c[id]) {
pq.emplace(D[v] = x + c[id], v);
}
}
}
}
return D[t];
}
void add(int u, int v, int id) {
g[u].emplace_back(v, id);
}
void del(int u, int v, int id) {
for (auto &x : g[u]) {
if (x == make_pair(v, id)) {
swap(x, g[u].back());
g[u].pop_back();
break;
}
}
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
#ifdef ngu
freopen("test.inp", "r", stdin);
freopen("test.out", "w", stdout);
#endif
cin >> n >> m;
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= n; ++j) {
d[i][j] = INF;
}
}
for (int i = 1; i <= m; ++i) {
int u, v;
cin >> u >> v >> c[i] >> cost[i];
edge[i] = {u, v};
d[u][v] = min(d[u][v], c[i]);
add(u, v, i);
}
dijkstra(1, D, g);
dijkstra(n, D, g);
for (int mid = 1; mid <= n; ++mid) {
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= n; ++j) {
d[i][j] = min(d[i][j], d[i][mid] + d[mid][j]);
}
}
}
int res = d[1][n] + d[n][1];
for (int i = 1; i <= m; ++i) {
auto [u, v] = edge[i];
if (on_tree[i]) {
del(u, v, i);
add(v, u, i);
int A = get_dist(1, n);
int B = get_dist(n, 1);
if (A < INF && B < INF) {
res = min(res, A + B + cost[i]);
}
del(v, u, i);
add(u, v, i);
} else {
int A = min(d[1][n], d[1][v] + c[i] + d[u][n]);
int B = min(d[n][1], d[n][v] + c[i] + d[u][1]);
if (A < INF && B < INF) {
res = min(res, A + B + cost[i]);
}
}
}
cout << (res == 2 * INF ? -1 : res);
}
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