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Submission #1004704

# Submission time Handle Problem Language Result Execution time Memory
1004704 2024-06-21T12:57:21 Z MilosMilutinovic None (JOI14_ho_t4) C++14
100 / 100
 194 ms 30900 KB 
#include <bits/stdc++.h>

using namespace std;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, m, x;
  cin >> n >> m >> x;
  vector<int> h(n);
  for (int i = 0; i < n; i++) {
    cin >> h[i];
  }
  vector<vector<pair<int, int>>> g(n);
  for (int i = 0; i < m; i++) {
    int u, v, w;
    cin >> u >> v >> w;
    --u; --v;
    if (w <= h[u]) {
      g[u].emplace_back(v, w);
    }
    if (w <= h[v]) {
      g[v].emplace_back(u, w);
    }
  }
  const long long inf = (long long) 1e18;
  vector<vector<long long>> dist(n, vector<long long>(2, inf));
  dist[0][1] = 0;
  dist[0][0] = x;
  vector<int> cur(n);
  cur[0] = x;
  set<tuple<long long, int, int>> st;
  st.emplace(dist[0][0], 0, 0);
  st.emplace(dist[0][1], 0, 1);
  vector<vector<bool>> was(n, vector<bool>(2));
  while (!st.empty()) {
    auto it = st.begin();
    long long d = get<0>(*it);
    int v = get<1>(*it);
    int t = get<2>(*it);
    st.erase(it);
    if (was[v][t] || d != dist[v][t]) {
      continue;
    }
    was[v][t] = true;
    int c = (t == 0 ? 0 : cur[v]);
    for (auto& e : g[v]) {
      int u = e.first;
      int w = e.second;
      if (c <= w) {
        if (dist[u][0] > dist[v][t] + 2 * w - c) {
          dist[u][0] = dist[v][t] + 2 * w - c;
          st.emplace(dist[u][0], u, 0);
        }
      } else {
        int nc = c - w;
        if (dist[u][1] > dist[v][t] + w + max(0, nc - h[u])) {
          dist[u][1] = dist[v][t] + w + max(0, nc - h[u]);
          cur[u] = min(h[u], nc);
          st.emplace(dist[u][1], u, 1);
        }
      }
    }
  }
  long long res = min(dist[n - 1][0] + h[n - 1], dist[n - 1][1] + h[n - 1] - cur[n - 1]);
  if (res >= inf) {
    cout << -1 << '\n';
  } else {
    cout << res << '\n';
  }
  return 0;
}

Subtask #1
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 2 ms 540 KB Output is correct
4 Correct 1 ms 612 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 476 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 1 ms 600 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 0 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 25936 KB Output is correct
2 Correct 93 ms 18256 KB Output is correct
3 Correct 83 ms 23868 KB Output is correct
4 Correct 127 ms 23644 KB Output is correct
5 Correct 84 ms 16564 KB Output is correct
6 Correct 3 ms 600 KB Output is correct
7 Correct 58 ms 21364 KB Output is correct
8 Correct 147 ms 28964 KB Output is correct
9 Correct 64 ms 17172 KB Output is correct
10 Correct 51 ms 19536 KB Output is correct
11 Correct 12 ms 4696 KB Output is correct
12 Correct 62 ms 12336 KB Output is correct
13 Correct 25 ms 6252 KB Output is correct
14 Correct 77 ms 21584 KB Output is correct
15 Correct 4 ms 2392 KB Output is correct
16 Correct 78 ms 16140 KB Output is correct
17 Correct 11 ms 5212 KB Output is correct
18 Correct 14 ms 7880 KB Output is correct
19 Correct 26 ms 9548 KB Output is correct
20 Correct 15 ms 7768 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 2 ms 540 KB Output is correct
4 Correct 1 ms 612 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 476 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 1 ms 600 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 0 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 101 ms 25936 KB Output is correct
22 Correct 93 ms 18256 KB Output is correct
23 Correct 83 ms 23868 KB Output is correct
24 Correct 127 ms 23644 KB Output is correct
25 Correct 84 ms 16564 KB Output is correct
26 Correct 3 ms 600 KB Output is correct
27 Correct 58 ms 21364 KB Output is correct
28 Correct 147 ms 28964 KB Output is correct
29 Correct 64 ms 17172 KB Output is correct
30 Correct 51 ms 19536 KB Output is correct
31 Correct 12 ms 4696 KB Output is correct
32 Correct 62 ms 12336 KB Output is correct
33 Correct 25 ms 6252 KB Output is correct
34 Correct 77 ms 21584 KB Output is correct
35 Correct 4 ms 2392 KB Output is correct
36 Correct 78 ms 16140 KB Output is correct
37 Correct 11 ms 5212 KB Output is correct
38 Correct 14 ms 7880 KB Output is correct
39 Correct 26 ms 9548 KB Output is correct
40 Correct 15 ms 7768 KB Output is correct
41 Correct 58 ms 10832 KB Output is correct
42 Correct 23 ms 15444 KB Output is correct
43 Correct 45 ms 12512 KB Output is correct
44 Correct 81 ms 15224 KB Output is correct
45 Correct 113 ms 19284 KB Output is correct
46 Correct 16 ms 16596 KB Output is correct
47 Correct 194 ms 30036 KB Output is correct
48 Correct 135 ms 30436 KB Output is correct
49 Correct 109 ms 27516 KB Output is correct
50 Correct 123 ms 21588 KB Output is correct
51 Correct 21 ms 8024 KB Output is correct
52 Correct 109 ms 19284 KB Output is correct
53 Correct 57 ms 21840 KB Output is correct
54 Correct 72 ms 19176 KB Output is correct
55 Correct 66 ms 21588 KB Output is correct
56 Correct 159 ms 30900 KB Output is correct
57 Correct 38 ms 19024 KB Output is correct
58 Correct 3 ms 1628 KB Output is correct
59 Correct 75 ms 18972 KB Output is correct
60 Correct 37 ms 18780 KB Output is correct