#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include "C:\GCC\debug.h"
#else
#define debug(...) void(42)
#endif
const long long inf = 123165465792545;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, m;
cin >> n >> m;
vector<vector<array<int, 4>>> adj(n);
vector<vector<array<int, 4>>> inv(n);
vector<array<int, 4>> edges;
for (int i = 0; i < m; i++) {
int u, v;
cin >> u >> v;
int c, d;
cin >> c >> d;
--u, --v;
adj[u].push_back({v, c, d, i});
inv[v].push_back({u, c, d, i});
edges.push_back({u, v, c, d});
}
array<int, 2> perm;
perm[0] = 0;
perm[1] = n - 1;
vector<vector<long long>> d2(n, vector<long long> (n, inf));
auto Floyd = [&]() {
for (int i = 0; i < n; i++) {
d2[i][i] = 0;
}
for (int i = 0; i < n; i++) {
for (auto v : adj[i]) {
d2[i][v[0]] = min(d2[i][v[0]], 1LL * v[1]);
}
}
for (int k = 0; k < n; k++) {
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
d2[i][j] = min(d2[i][j], d2[i][k] + d2[k][j]);
}
}
}
};
Floyd();
auto Update = [&](int forbidden, int source, int to, int cost) {
vector<long long> dist(n, inf);
dist[perm[1]] = 0;
priority_queue<array<long long, 2>, vector<array<long long, 2>>, greater<array<long long, 2>>> que;
que.push({0, perm[1]});
while (!que.empty()) {
auto cur = que.top();
que.pop();
if (dist[cur[1]] != cur[0]) {
continue;
}
if (cur[1] == source) {
if (dist[to] > 1LL * cur[0] + cost) {
dist[to] = 1LL * cur[0] + cost;
que.push({dist[to], to});
}
}
for (auto v : adj[cur[1]]) {
if (v[3] == forbidden) {
continue;
} else {
if (dist[v[0]] > cur[0] + v[1]) {
dist[v[0]] = cur[0] + v[1];
que.push({dist[v[0]], v[0]});
}
}
}
}
return dist[perm[0]];
};
vector<int> cntA(n);
vector<int> cntB(n);
vector<int> middleA(n, -1);
vector<int> middleB(n, -1);
for (int i = 0; i < n; i++) {
for (auto v : inv[i]) {
if (d2[perm[0]][v[0]] + v[1] == d2[perm[0]][i]) {
cntA[i]++;
middleA[i] = v[0];
}
}
}
for (int i = 0; i < n; i++) {
for (auto v : adj[i]) {
if (d2[v[0]][perm[1]] + v[1] == d2[i][perm[1]]) {
cntB[i]++;
middleB[i] = v[0];
}
}
}
vector<int> cntC(n);
vector<int> cntD(n);
vector<int> middleC(n, -1);
vector<int> middleD(n, -1);
for (int i = 0; i < n; i++) {
for (auto v : inv[i]) {
if (d2[perm[1]][v[0]] + v[1] == d2[perm[1]][i]) {
cntC[i]++;
middleC[i] = v[0];
}
}
}
for (int i = 0; i < n; i++) {
for (auto v : adj[i]) {
if (d2[v[0]][perm[0]] + v[1] == d2[i][perm[0]]) {
cntD[i]++;
middleD[i] = v[0];
}
}
}
long long res = inf;
res = min(res, d2[perm[0]][perm[1]] + d2[perm[1]][perm[0]]);
for (int i = 0; i < m; i++) {
int u = edges[i][0];
int v = edges[i][1];
int c = edges[i][2];
int d = edges[i][3];
long long path_from_beg = 0;
bool canA = true;
bool canB = true;
canA &= (cntA[v] > 1 || middleA[v] != u);
canB &= (cntB[u] > 1 || middleB[u] != v);
if (canA && canB) {
path_from_beg = min(d2[perm[0]][perm[1]], d2[perm[0]][v] + d2[u][perm[1]] + c);
} else {
swap(perm[0], perm[1]);
path_from_beg = Update(i, v, u, c);
swap(perm[0], perm[1]);
}
canA = true;
canB = true;
canA &= (cntC[v] > 1 || middleC[v] != u);
canB &= (cntD[u] > 1 || middleD[u] != v);
long long path_from_end = 0;
if (canA && canB) {
path_from_end = min(d2[perm[1]][perm[0]], d2[perm[1]][v] + d2[u][perm[0]] + c);
} else {
path_from_end = Update(i, v, u, c);
}
long long tot = path_from_beg + path_from_end + d;
res = min(res, tot);
}
if (res == inf) {
cout << -1 << '\n';
} else {
cout << res << '\n';
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
724 KB |
Output is correct |
2 |
Correct |
7 ms |
596 KB |
Output is correct |
3 |
Correct |
29 ms |
748 KB |
Output is correct |
4 |
Correct |
31 ms |
748 KB |
Output is correct |
5 |
Correct |
3 ms |
328 KB |
Output is correct |
6 |
Correct |
11 ms |
676 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
2 ms |
340 KB |
Output is correct |
10 |
Correct |
28 ms |
756 KB |
Output is correct |
11 |
Correct |
20 ms |
760 KB |
Output is correct |
12 |
Correct |
20 ms |
764 KB |
Output is correct |
13 |
Correct |
10 ms |
760 KB |
Output is correct |
14 |
Correct |
19 ms |
756 KB |
Output is correct |
15 |
Correct |
14 ms |
752 KB |
Output is correct |
16 |
Correct |
16 ms |
752 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
22 ms |
3908 KB |
Output is correct |
2 |
Correct |
31 ms |
3832 KB |
Output is correct |
3 |
Correct |
33 ms |
3880 KB |
Output is correct |
4 |
Correct |
8 ms |
828 KB |
Output is correct |
5 |
Correct |
7 ms |
724 KB |
Output is correct |
6 |
Correct |
8 ms |
716 KB |
Output is correct |
7 |
Correct |
7 ms |
596 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
24 ms |
4040 KB |
Output is correct |
10 |
Correct |
27 ms |
3988 KB |
Output is correct |
11 |
Correct |
22 ms |
3908 KB |
Output is correct |
12 |
Correct |
23 ms |
3900 KB |
Output is correct |
13 |
Correct |
23 ms |
3808 KB |
Output is correct |
14 |
Correct |
23 ms |
4168 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
724 KB |
Output is correct |
2 |
Correct |
12 ms |
680 KB |
Output is correct |
3 |
Correct |
18 ms |
3316 KB |
Output is correct |
4 |
Correct |
7 ms |
684 KB |
Output is correct |
5 |
Correct |
21 ms |
3824 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
29 ms |
3988 KB |
Output is correct |
9 |
Correct |
24 ms |
3892 KB |
Output is correct |
10 |
Incorrect |
21 ms |
3864 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
724 KB |
Output is correct |
2 |
Correct |
7 ms |
596 KB |
Output is correct |
3 |
Correct |
29 ms |
748 KB |
Output is correct |
4 |
Correct |
31 ms |
748 KB |
Output is correct |
5 |
Correct |
3 ms |
328 KB |
Output is correct |
6 |
Correct |
11 ms |
676 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
2 ms |
340 KB |
Output is correct |
10 |
Correct |
28 ms |
756 KB |
Output is correct |
11 |
Correct |
20 ms |
760 KB |
Output is correct |
12 |
Correct |
20 ms |
764 KB |
Output is correct |
13 |
Correct |
10 ms |
760 KB |
Output is correct |
14 |
Correct |
19 ms |
756 KB |
Output is correct |
15 |
Correct |
14 ms |
752 KB |
Output is correct |
16 |
Correct |
16 ms |
752 KB |
Output is correct |
17 |
Correct |
22 ms |
3908 KB |
Output is correct |
18 |
Correct |
31 ms |
3832 KB |
Output is correct |
19 |
Correct |
33 ms |
3880 KB |
Output is correct |
20 |
Correct |
8 ms |
828 KB |
Output is correct |
21 |
Correct |
7 ms |
724 KB |
Output is correct |
22 |
Correct |
8 ms |
716 KB |
Output is correct |
23 |
Correct |
7 ms |
596 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
24 ms |
4040 KB |
Output is correct |
26 |
Correct |
27 ms |
3988 KB |
Output is correct |
27 |
Correct |
22 ms |
3908 KB |
Output is correct |
28 |
Correct |
23 ms |
3900 KB |
Output is correct |
29 |
Correct |
23 ms |
3808 KB |
Output is correct |
30 |
Correct |
23 ms |
4168 KB |
Output is correct |
31 |
Correct |
10 ms |
724 KB |
Output is correct |
32 |
Correct |
12 ms |
680 KB |
Output is correct |
33 |
Correct |
18 ms |
3316 KB |
Output is correct |
34 |
Correct |
7 ms |
684 KB |
Output is correct |
35 |
Correct |
21 ms |
3824 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
29 ms |
3988 KB |
Output is correct |
39 |
Correct |
24 ms |
3892 KB |
Output is correct |
40 |
Incorrect |
21 ms |
3864 KB |
Output isn't correct |
41 |
Halted |
0 ms |
0 KB |
- |