Submission #897934

# Submission time Handle Problem Language Result Execution time Memory
897934 2024-01-04T05:11:03 Z avighna Olympic Bus (JOI20_ho_t4) C++17
37 / 100
1000 ms 7124 KB
#include <bits/stdc++.h>

using namespace std;

#define ll long long

const ll N = 201, M = 50001;

ll n, m;

struct Edge {
  ll u, v, i;
};

multiset<pair<ll, ll>> adj[N];
ll c[M], d[M];
Edge edges[M];

vector<ll> sssp(ll source) {
  vector<ll> dist(n + 1, 1e15);
  dist[source] = 0;
  priority_queue<pair<ll, ll>> pq;
  pq.push({0, source});
  while (!pq.empty()) {
    ll node = pq.top().second, _dist = -pq.top().first;
    pq.pop();
    for (auto &nb : adj[node]) {
      if (dist[nb.first] > _dist + c[nb.second]) {
        dist[nb.first] = _dist + c[nb.second];
        pq.push({-dist[nb.first], nb.first});
      }
    }
  }
  return dist;
}

vector<ll> adjall[N];
bool vis[N];

void dfs(ll node) {
  if (vis[node]) {
    return;
  }
  vis[node] = true;
  for (auto &i : adjall[node]) {
    dfs(i);
  }
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);

  cin >> n >> m;
  for (ll i = 1; i <= n; ++i) {
    adj[i].clear();
  }
  vector<vector<ll>> dist(n + 1, vector<ll>(n + 1, 1e15));
  for (ll i = 1; i <= n; ++i) {
    dist[i][i] = 0;
  }
  for (ll i = 0, u, v; i < m; ++i) {
    cin >> u >> v >> c[i] >> d[i];
    adj[u].insert({v, i}), adjall[u].push_back(v), adjall[v].push_back(u);
    edges[i].u = u, edges[i].v = v, edges[i].i = i;
    dist[u][v] = min(dist[u][v], c[i]);
  }

  dfs(1);
  if (!vis[n]) {
    cout << "-1\n";
    return 0;
  }

  for (ll k = 1; k <= n; ++k) {
    for (ll i = 1; i <= n; ++i) {
      for (ll j = 1; j <= n; ++j) {
        dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]);
      }
    }
  }

  ll ans = min((ll)1e15, dist[1][n] + dist[n][1]);
  sort(edges, edges + m, [&dist](const Edge &e1, const Edge &e2) {
    ll u1 = e1.u, u2 = e2.u, v1 = e1.v, v2 = e2.v, i1 = e1.i, i2 = e2.i;
    ll d1 = min(dist[1][n], dist[1][v1] + c[i1] + dist[u1][n]) +
            min(dist[n][1], dist[n][v1] + c[i1] + dist[u1][1]) + d[i1];
    ll d2 = min(dist[1][n], dist[1][v2] + c[i2] + dist[u2][n]) +
            min(dist[n][1], dist[n][v2] + c[i2] + dist[u2][1]) + d[i2];
    return d1 < d2;
  });
  for (ll i = 0; i < m; ++i) {
    ll u = edges[i].u, v = edges[i].v, _i = edges[i].i;
    if (min(dist[1][n], dist[1][v] + c[_i] + dist[u][n]) +
            min(dist[n][1], dist[n][v] + c[_i] + dist[u][1]) + d[_i] <
        ans) {
      adj[u].erase(adj[u].find({v, _i}));
      adj[v].insert({u, _i});
      ans = min(ans, d[_i] + sssp(1)[n] + sssp(n)[1]);
      adj[v].erase(adj[v].find({u, _i}));
      adj[u].insert({v, _i});
    }
  }
  if (ans == (ll)(1e15)) {
    ans = -1;
  }
  cout << ans << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 7 ms 860 KB Output is correct
2 Correct 7 ms 604 KB Output is correct
3 Correct 7 ms 860 KB Output is correct
4 Correct 8 ms 948 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 8 ms 604 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 11 ms 956 KB Output is correct
11 Correct 22 ms 964 KB Output is correct
12 Correct 11 ms 948 KB Output is correct
13 Correct 10 ms 948 KB Output is correct
14 Correct 8 ms 948 KB Output is correct
15 Correct 9 ms 944 KB Output is correct
16 Correct 8 ms 860 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 37 ms 7004 KB Output is correct
2 Correct 43 ms 7004 KB Output is correct
3 Correct 37 ms 6872 KB Output is correct
4 Correct 8 ms 860 KB Output is correct
5 Correct 7 ms 860 KB Output is correct
6 Correct 7 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 54 ms 6856 KB Output is correct
10 Correct 47 ms 7000 KB Output is correct
11 Correct 44 ms 7080 KB Output is correct
12 Correct 44 ms 6992 KB Output is correct
13 Correct 43 ms 7000 KB Output is correct
14 Correct 43 ms 7000 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 1112 KB Output is correct
2 Correct 7 ms 604 KB Output is correct
3 Correct 31 ms 5616 KB Output is correct
4 Correct 7 ms 604 KB Output is correct
5 Correct 45 ms 6992 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 43 ms 7004 KB Output is correct
9 Correct 54 ms 7004 KB Output is correct
10 Correct 49 ms 7004 KB Output is correct
11 Correct 40 ms 6748 KB Output is correct
12 Correct 40 ms 7004 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 42 ms 7124 KB Output is correct
20 Correct 41 ms 7004 KB Output is correct
21 Correct 41 ms 6996 KB Output is correct
22 Correct 40 ms 7000 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 860 KB Output is correct
2 Correct 7 ms 604 KB Output is correct
3 Correct 7 ms 860 KB Output is correct
4 Correct 8 ms 948 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 8 ms 604 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 11 ms 956 KB Output is correct
11 Correct 22 ms 964 KB Output is correct
12 Correct 11 ms 948 KB Output is correct
13 Correct 10 ms 948 KB Output is correct
14 Correct 8 ms 948 KB Output is correct
15 Correct 9 ms 944 KB Output is correct
16 Correct 8 ms 860 KB Output is correct
17 Correct 37 ms 7004 KB Output is correct
18 Correct 43 ms 7004 KB Output is correct
19 Correct 37 ms 6872 KB Output is correct
20 Correct 8 ms 860 KB Output is correct
21 Correct 7 ms 860 KB Output is correct
22 Correct 7 ms 860 KB Output is correct
23 Correct 1 ms 860 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 54 ms 6856 KB Output is correct
26 Correct 47 ms 7000 KB Output is correct
27 Correct 44 ms 7080 KB Output is correct
28 Correct 44 ms 6992 KB Output is correct
29 Correct 43 ms 7000 KB Output is correct
30 Correct 43 ms 7000 KB Output is correct
31 Correct 7 ms 1112 KB Output is correct
32 Correct 7 ms 604 KB Output is correct
33 Correct 31 ms 5616 KB Output is correct
34 Correct 7 ms 604 KB Output is correct
35 Correct 45 ms 6992 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 43 ms 7004 KB Output is correct
39 Correct 54 ms 7004 KB Output is correct
40 Correct 49 ms 7004 KB Output is correct
41 Correct 40 ms 6748 KB Output is correct
42 Correct 40 ms 7004 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 42 ms 7124 KB Output is correct
50 Correct 41 ms 7004 KB Output is correct
51 Correct 41 ms 6996 KB Output is correct
52 Correct 40 ms 7000 KB Output is correct
53 Correct 39 ms 6736 KB Output is correct
54 Correct 40 ms 7000 KB Output is correct
55 Correct 40 ms 7004 KB Output is correct
56 Correct 8 ms 860 KB Output is correct
57 Correct 8 ms 860 KB Output is correct
58 Correct 40 ms 5716 KB Output is correct
59 Correct 40 ms 5712 KB Output is correct
60 Correct 40 ms 5716 KB Output is correct
61 Correct 72 ms 5724 KB Output is correct
62 Correct 563 ms 5724 KB Output is correct
63 Execution timed out 1069 ms 5716 KB Time limit exceeded
64 Halted 0 ms 0 KB -