oj.uz

Submission #261640

# Submission time Handle Problem Language Result Execution time Memory
261640 2020-08-11T23:24:00 Z Haunted_Cpp Relay Marathon (NOI20_relaymarathon) C++17
25 / 100
 1916 ms 72264 KB 
/**
 *  author: Haunted_Cpp
**/
 
#include <bits/stdc++.h>
using namespace std;
 
#pragma GCC optimize("Ofast")
#pragma GCC target("fma,sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
#pragma GCC optimize("unroll-loops")
 
template<typename T> ostream &operator << (ostream &os, const vector<T> &v) { os << '{'; string sep; for (const auto &x : v) os << sep << x, sep = ", "; return os << '}'; }
template<typename T, size_t size> ostream &operator << (ostream &os, const array<T, size> &arr) { os << '{'; string sep; for (const auto &x : arr) os << sep << x, sep = ", "; return os << '}'; }
template<typename A, typename B> ostream &operator << (ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
 
void debug_out() { cerr << endl; }
template<typename Head, typename... Tail> void debug_out(Head H, Tail... T) { cerr << ' ' << H; debug_out(T...); }
 
#ifdef LOCAL
#define debug(...) cerr << "(" << #__VA_ARGS__ << "):", debug_out(__VA_ARGS__)
#else
#define debug(...) 47
#endif

const int MAX_N = 1e5 + 5;
const int INF = 1e9 + 5;

vector<vector<pair<int, int>>> g(MAX_N);

int main () {
  ios::sync_with_stdio(0);
  cin.tie(0);
  int n, m, k;
  cin >> n >> m >> k;
  for (int i = 0; i < m; i++) {
    int st, et, w;
    cin >> st >> et >> w;
    --st; --et;
    g[st].emplace_back(et, w);
    g[et].emplace_back(st, w);
  }
  vector<bool> is_special(n);
  for (int i = 0; i < k; i++) {
    int foo;
    cin >> foo;
    --foo;
    is_special[foo] = true;
  }
  int res = 0;
  int add = 0;
  auto Dijkstra = [&](bool basic_graph) {
    priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;
    vector<int> dist(n, INF);
    vector<int> root(n, -1);
    vector<pair<int, int>> closest_vertex(n, {INF, -1});
    for (int i = 0; i < n; i++) {
      if (is_special[i]) {
        dist[i] = 0;
        root[i] = i;
        pq.push({dist[i], i});
      }
    }
    while(!pq.empty()) {
      int node = pq.top().second;
      int w = pq.top().first;
      pq.pop();
      if (w != dist[node]) continue;
      for (auto to : g[node]) {
        if (root[to.first] != -1 && root[to.first] != root[node]) {
          pair<int, int> best_way = {dist[node] + to.second + dist[to.first], root[to.first]};
          closest_vertex[root[node]] = min(closest_vertex[root[node]], best_way);
        }
        if (dist[to.first] > dist[node] + to.second) {
          dist[to.first] = dist[node] + to.second;
          root[to.first] = root[node];
          pq.push({dist[to.first], to.first});
        }
      }
    }
    int mn = 1e9;
    for (int i = 0; i < n; i++) {
      if (!is_special[i]) continue;
      mn = min(mn, closest_vertex[i].first);
    }
    add = mn;
    if (!basic_graph) {
      for (int i = 0; i < n; i++) {
        if (!is_special[i]) continue;
        if (closest_vertex[i].first == mn) {
          res += closest_vertex[i].first;
          is_special[i] = false;
          is_special[closest_vertex[i].second] = false;
          break;
        }
      }
    }
    return closest_vertex;
  };
  if (n > 500) {
    Dijkstra(false);
    Dijkstra(false);
    cout << res << '\n';
  } else {
    int mn = 1e9;
    vector<pair<int, int>> dist = Dijkstra(true);
    for (int i = 0; i < n; i++) {
      if (!is_special[i]) continue;
      int cur = dist[i].first;
      is_special[i] = false;
      is_special[dist[i].second] = false;
      add = 0;
      Dijkstra(true);
      cur += add;
      mn = min(mn, cur);
      is_special[i] = true;
      is_special[dist[i].second] = true;
    }
    cout << mn << '\n';
  }
  return 0;
}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Runtime error 5 ms 5248 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Runtime error 5 ms 5248 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 7032 KB Output is correct
2 Correct 9 ms 4864 KB Output is correct
3 Correct 1842 ms 64208 KB Output is correct
4 Correct 771 ms 33464 KB Output is correct
5 Correct 202 ms 10712 KB Output is correct
6 Correct 151 ms 9188 KB Output is correct
7 Correct 224 ms 11476 KB Output is correct
8 Correct 89 ms 7256 KB Output is correct
9 Correct 153 ms 8852 KB Output is correct
10 Correct 120 ms 7672 KB Output is correct
11 Correct 1916 ms 67528 KB Output is correct
12 Correct 139 ms 8180 KB Output is correct
13 Correct 508 ms 21764 KB Output is correct
14 Correct 256 ms 11464 KB Output is correct
15 Correct 1914 ms 66648 KB Output is correct
16 Correct 94 ms 6908 KB Output is correct
17 Correct 1437 ms 51292 KB Output is correct
18 Correct 9 ms 4864 KB Output is correct
19 Correct 1890 ms 72264 KB Output is correct
20 Correct 207 ms 11052 KB Output is correct
21 Correct 182 ms 10392 KB Output is correct
22 Correct 101 ms 7688 KB Output is correct
23 Correct 29 ms 6400 KB Output is correct
24 Correct 1197 ms 55420 KB Output is correct
25 Correct 144 ms 9096 KB Output is correct
26 Correct 78 ms 7288 KB Output is correct
27 Correct 123 ms 8440 KB Output is correct
28 Correct 18 ms 5728 KB Output is correct
29 Correct 213 ms 11340 KB Output is correct
30 Correct 437 ms 18260 KB Output is correct

Subtask #4
0 / 58.0

# Verdict Execution time Memory Grader output
1 Runtime error 5 ms 5248 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -