#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 (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]) {
adj[u].erase(find_if(adj[u].begin(), adj[u].end(), [&](const array<int, 4> &x) {
return x[3] == 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 });
adj[v].erase(find_if(adj[v].begin(), adj[v].end(), [&](const array<int, 4> &x) {
return x[3] == i;
}));
ans = min(ans, p[N - 1] + q[0] + inv);
continue;
}
ans = min(ans, min(dist0[N - 1], dist0[v] + dist3[u] + cst) + min(dist1[v] + dist2[u] + cst, dist1[0]) + inv);
}
if (ans > ML) {
cout << -1 << "\n";
} else {
cout << ans << "\n";
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
3 ms |
448 KB |
Output is correct |
4 |
Correct |
5 ms |
444 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
336 KB |
Output is correct |
8 |
Correct |
0 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
42 ms |
340 KB |
Output is correct |
11 |
Correct |
59 ms |
432 KB |
Output is correct |
12 |
Correct |
54 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
3 ms |
344 KB |
Output is correct |
15 |
Correct |
3 ms |
444 KB |
Output is correct |
16 |
Correct |
3 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
20 ms |
3924 KB |
Output is correct |
2 |
Correct |
22 ms |
3924 KB |
Output is correct |
3 |
Correct |
23 ms |
4032 KB |
Output is correct |
4 |
Correct |
3 ms |
472 KB |
Output is correct |
5 |
Correct |
4 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
19 ms |
3976 KB |
Output is correct |
10 |
Correct |
20 ms |
4808 KB |
Output is correct |
11 |
Correct |
23 ms |
4924 KB |
Output is correct |
12 |
Correct |
22 ms |
4848 KB |
Output is correct |
13 |
Correct |
21 ms |
4912 KB |
Output is correct |
14 |
Correct |
25 ms |
5184 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
18 ms |
3340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
17 ms |
3824 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
17 ms |
3760 KB |
Output is correct |
9 |
Correct |
17 ms |
4592 KB |
Output is correct |
10 |
Correct |
19 ms |
4556 KB |
Output is correct |
11 |
Correct |
18 ms |
4564 KB |
Output is correct |
12 |
Correct |
18 ms |
4680 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
18 ms |
4888 KB |
Output is correct |
20 |
Correct |
18 ms |
4720 KB |
Output is correct |
21 |
Correct |
18 ms |
4604 KB |
Output is correct |
22 |
Correct |
17 ms |
4668 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
3 ms |
448 KB |
Output is correct |
4 |
Correct |
5 ms |
444 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
336 KB |
Output is correct |
8 |
Correct |
0 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
42 ms |
340 KB |
Output is correct |
11 |
Correct |
59 ms |
432 KB |
Output is correct |
12 |
Correct |
54 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
3 ms |
344 KB |
Output is correct |
15 |
Correct |
3 ms |
444 KB |
Output is correct |
16 |
Correct |
3 ms |
340 KB |
Output is correct |
17 |
Correct |
20 ms |
3924 KB |
Output is correct |
18 |
Correct |
22 ms |
3924 KB |
Output is correct |
19 |
Correct |
23 ms |
4032 KB |
Output is correct |
20 |
Correct |
3 ms |
472 KB |
Output is correct |
21 |
Correct |
4 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
19 ms |
3976 KB |
Output is correct |
26 |
Correct |
20 ms |
4808 KB |
Output is correct |
27 |
Correct |
23 ms |
4924 KB |
Output is correct |
28 |
Correct |
22 ms |
4848 KB |
Output is correct |
29 |
Correct |
21 ms |
4912 KB |
Output is correct |
30 |
Correct |
25 ms |
5184 KB |
Output is correct |
31 |
Correct |
3 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
18 ms |
3340 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
17 ms |
3824 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
17 ms |
3760 KB |
Output is correct |
39 |
Correct |
17 ms |
4592 KB |
Output is correct |
40 |
Correct |
19 ms |
4556 KB |
Output is correct |
41 |
Correct |
18 ms |
4564 KB |
Output is correct |
42 |
Correct |
18 ms |
4680 KB |
Output is correct |
43 |
Correct |
0 ms |
212 KB |
Output is correct |
44 |
Correct |
0 ms |
332 KB |
Output is correct |
45 |
Correct |
0 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
0 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
18 ms |
4888 KB |
Output is correct |
50 |
Correct |
18 ms |
4720 KB |
Output is correct |
51 |
Correct |
18 ms |
4604 KB |
Output is correct |
52 |
Correct |
17 ms |
4668 KB |
Output is correct |
53 |
Correct |
21 ms |
4544 KB |
Output is correct |
54 |
Correct |
23 ms |
4684 KB |
Output is correct |
55 |
Correct |
27 ms |
4828 KB |
Output is correct |
56 |
Correct |
4 ms |
340 KB |
Output is correct |
57 |
Correct |
3 ms |
340 KB |
Output is correct |
58 |
Correct |
71 ms |
3916 KB |
Output is correct |
59 |
Correct |
82 ms |
3908 KB |
Output is correct |
60 |
Correct |
116 ms |
3984 KB |
Output is correct |
61 |
Correct |
69 ms |
3948 KB |
Output is correct |
62 |
Correct |
88 ms |
3896 KB |
Output is correct |
63 |
Correct |
102 ms |
3972 KB |
Output is correct |
64 |
Correct |
116 ms |
3960 KB |
Output is correct |
65 |
Correct |
122 ms |
4044 KB |
Output is correct |
66 |
Correct |
152 ms |
4092 KB |
Output is correct |
67 |
Correct |
14 ms |
3272 KB |
Output is correct |
68 |
Correct |
19 ms |
4808 KB |
Output is correct |
69 |
Correct |
19 ms |
4800 KB |
Output is correct |
70 |
Correct |
22 ms |
4732 KB |
Output is correct |
71 |
Correct |
22 ms |
4908 KB |
Output is correct |
72 |
Correct |
21 ms |
4820 KB |
Output is correct |
73 |
Correct |
22 ms |
4964 KB |
Output is correct |
74 |
Correct |
21 ms |
4912 KB |
Output is correct |