oj.uz

Submission #201644

# Submission time Handle Problem Language Result Execution time Memory
201644 2020-02-11T14:09:44 Z waynetuinfor Olympic Bus (JOI20_ho_t4) C++17
100 / 100
 418 ms 2168 KB 
#include <algorithm>
#include <array>
#include <iostream>
#include <queue>
#include <vector>

int main() {
  int n, m;
  std::cin >> n >> m;
  constexpr int kInf = 1'000'000'000;
  std::vector<std::vector<int>> dist(n, std::vector<int>(n, kInf));
  for (int i = 0; i < n; ++i) dist[i][i] = 0;
  std::vector<std::array<int, 4>> ed(m);
  std::vector<std::vector<std::pair<int, int>>> g(n);
  for (int i = 0; i < m; ++i) {
    int u, v, c, d;
    std::cin >> u >> v >> c >> d;
    u--, v--;
    dist[u][v] = std::min(dist[u][v], c);
    ed[i] = {u, v, c, d};
    g[u].emplace_back(v, i);
  }
  for (int k = 0; k < n; ++k) {
    for (int i = 0; i < n; ++i) {
      for (int j = 0; j < n; ++j) {
        dist[i][j] = std::min(dist[i][j], dist[i][k] + dist[k][j]);
      }
    }
  }
  int64_t ans = dist[0][n - 1] + dist[n - 1][0];

  auto Dijkstra = [&](int s, int e, int v) {
    std::vector<int> dist(n, kInf), used(n);
    std::priority_queue<std::pair<int, int>> pq;
    pq.emplace(0, s);
    dist[s] = 0;
    while (!pq.empty()) {
      int x = pq.top().second;
      pq.pop();
      if (x == e) break;
      if (used[x]++) continue;
      for (auto i : g[x]) {
        int u = i.first, z = i.second;
        if (z == v) continue;
        if (dist[u] > dist[x] + ed[z][2]) {
          dist[u] = dist[x] + ed[z][2];
          pq.emplace(-dist[u], u);
        }
      }
      if (x == ed[v][1]) {
        if (dist[ed[v][0]] > dist[x] + ed[v][2]) {
          dist[ed[v][0]] = dist[x] + ed[v][2];
          pq.emplace(-dist[ed[v][0]], ed[v][0]);
        }
      }
    }
    return dist[e];
  };

  for (int i = 0; i < m; ++i) {
    int u = ed[i][0], v = ed[i][1], c = ed[i][2], d = ed[i][3];
    int64_t a = std::min(dist[0][n - 1], dist[0][v] + dist[u][n - 1] + c);
    int64_t b = std::min(dist[n - 1][0], dist[n - 1][v] + dist[u][0] + c);
    if (a + b + d < ans) {
      int64_t x = Dijkstra(0, n - 1, i);
      int64_t y = Dijkstra(n - 1, 0, i);
      ans = std::min(ans, x + y + d);
    }
  }
  if (ans >= kInf) ans = -1;
  std::cout << ans << "\n";
  return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 504 KB Output is correct
2 Correct 14 ms 504 KB Output is correct
3 Correct 16 ms 508 KB Output is correct
4 Correct 19 ms 504 KB Output is correct
5 Correct 6 ms 376 KB Output is correct
6 Correct 14 ms 504 KB Output is correct
7 Correct 5 ms 256 KB Output is correct
8 Correct 5 ms 256 KB Output is correct
9 Correct 6 ms 376 KB Output is correct
10 Correct 18 ms 504 KB Output is correct
11 Correct 27 ms 504 KB Output is correct
12 Correct 16 ms 632 KB Output is correct
13 Correct 16 ms 504 KB Output is correct
14 Correct 15 ms 504 KB Output is correct
15 Correct 16 ms 504 KB Output is correct
16 Correct 16 ms 504 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 90 ms 1912 KB Output is correct
2 Correct 90 ms 1912 KB Output is correct
3 Correct 100 ms 1916 KB Output is correct
4 Correct 17 ms 504 KB Output is correct
5 Correct 15 ms 504 KB Output is correct
6 Correct 15 ms 508 KB Output is correct
7 Correct 16 ms 504 KB Output is correct
8 Correct 5 ms 256 KB Output is correct
9 Correct 105 ms 2040 KB Output is correct
10 Correct 102 ms 1912 KB Output is correct
11 Correct 100 ms 1912 KB Output is correct
12 Correct 98 ms 1912 KB Output is correct
13 Correct 99 ms 1960 KB Output is correct
14 Correct 103 ms 2168 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 508 KB Output is correct
2 Correct 14 ms 504 KB Output is correct
3 Correct 72 ms 1528 KB Output is correct
4 Correct 14 ms 504 KB Output is correct
5 Correct 87 ms 1912 KB Output is correct
6 Correct 5 ms 256 KB Output is correct
7 Correct 4 ms 256 KB Output is correct
8 Correct 94 ms 2040 KB Output is correct
9 Correct 91 ms 1912 KB Output is correct
10 Correct 87 ms 1912 KB Output is correct
11 Correct 87 ms 1912 KB Output is correct
12 Correct 91 ms 1912 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 256 KB Output is correct
15 Correct 5 ms 256 KB Output is correct
16 Correct 5 ms 256 KB Output is correct
17 Correct 5 ms 256 KB Output is correct
18 Correct 4 ms 256 KB Output is correct
19 Correct 87 ms 2040 KB Output is correct
20 Correct 88 ms 1912 KB Output is correct
21 Correct 88 ms 1912 KB Output is correct
22 Correct 90 ms 1912 KB Output is correct

Subtask #4
63.0 / 63.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 504 KB Output is correct
2 Correct 14 ms 504 KB Output is correct
3 Correct 16 ms 508 KB Output is correct
4 Correct 19 ms 504 KB Output is correct
5 Correct 6 ms 376 KB Output is correct
6 Correct 14 ms 504 KB Output is correct
7 Correct 5 ms 256 KB Output is correct
8 Correct 5 ms 256 KB Output is correct
9 Correct 6 ms 376 KB Output is correct
10 Correct 18 ms 504 KB Output is correct
11 Correct 27 ms 504 KB Output is correct
12 Correct 16 ms 632 KB Output is correct
13 Correct 16 ms 504 KB Output is correct
14 Correct 15 ms 504 KB Output is correct
15 Correct 16 ms 504 KB Output is correct
16 Correct 16 ms 504 KB Output is correct
17 Correct 90 ms 1912 KB Output is correct
18 Correct 90 ms 1912 KB Output is correct
19 Correct 100 ms 1916 KB Output is correct
20 Correct 17 ms 504 KB Output is correct
21 Correct 15 ms 504 KB Output is correct
22 Correct 15 ms 508 KB Output is correct
23 Correct 16 ms 504 KB Output is correct
24 Correct 5 ms 256 KB Output is correct
25 Correct 105 ms 2040 KB Output is correct
26 Correct 102 ms 1912 KB Output is correct
27 Correct 100 ms 1912 KB Output is correct
28 Correct 98 ms 1912 KB Output is correct
29 Correct 99 ms 1960 KB Output is correct
30 Correct 103 ms 2168 KB Output is correct
31 Correct 15 ms 508 KB Output is correct
32 Correct 14 ms 504 KB Output is correct
33 Correct 72 ms 1528 KB Output is correct
34 Correct 14 ms 504 KB Output is correct
35 Correct 87 ms 1912 KB Output is correct
36 Correct 5 ms 256 KB Output is correct
37 Correct 4 ms 256 KB Output is correct
38 Correct 94 ms 2040 KB Output is correct
39 Correct 91 ms 1912 KB Output is correct
40 Correct 87 ms 1912 KB Output is correct
41 Correct 87 ms 1912 KB Output is correct
42 Correct 91 ms 1912 KB Output is correct
43 Correct 5 ms 376 KB Output is correct
44 Correct 5 ms 256 KB Output is correct
45 Correct 5 ms 256 KB Output is correct
46 Correct 5 ms 256 KB Output is correct
47 Correct 5 ms 256 KB Output is correct
48 Correct 4 ms 256 KB Output is correct
49 Correct 87 ms 2040 KB Output is correct
50 Correct 88 ms 1912 KB Output is correct
51 Correct 88 ms 1912 KB Output is correct
52 Correct 90 ms 1912 KB Output is correct
53 Correct 94 ms 1912 KB Output is correct
54 Correct 90 ms 1912 KB Output is correct
55 Correct 87 ms 1912 KB Output is correct
56 Correct 16 ms 504 KB Output is correct
57 Correct 16 ms 504 KB Output is correct
58 Correct 82 ms 1528 KB Output is correct
59 Correct 78 ms 1552 KB Output is correct
60 Correct 80 ms 1656 KB Output is correct
61 Correct 80 ms 1528 KB Output is correct
62 Correct 115 ms 1656 KB Output is correct
63 Correct 165 ms 1528 KB Output is correct
64 Correct 133 ms 1908 KB Output is correct
65 Correct 253 ms 1892 KB Output is correct
66 Correct 418 ms 1892 KB Output is correct
67 Correct 68 ms 1652 KB Output is correct
68 Correct 103 ms 2048 KB Output is correct
69 Correct 103 ms 1912 KB Output is correct
70 Correct 101 ms 1912 KB Output is correct
71 Correct 100 ms 2040 KB Output is correct
72 Correct 99 ms 1912 KB Output is correct
73 Correct 100 ms 1912 KB Output is correct
74 Correct 104 ms 2072 KB Output is correct