oj.uz

Submission #261651

# Submission time Handle Problem Language Result Execution time Memory
261651 2020-08-11T23:33:16 Z Haunted_Cpp Relay Marathon (NOI20_relaymarathon) C++17
42 / 100
 2208 ms 71960 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;
      if (dist[i].second == -1) continue;
      assert(is_special[dist[i].second]);
      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
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 3 ms 2688 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 2 ms 2688 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 3 ms 2688 KB Output is correct
8 Correct 3 ms 2688 KB Output is correct
9 Correct 2 ms 2688 KB Output is correct
10 Correct 2 ms 2688 KB Output is correct
11 Correct 2 ms 2720 KB Output is correct
12 Correct 3 ms 2688 KB Output is correct
13 Correct 4 ms 2688 KB Output is correct
14 Correct 3 ms 2688 KB Output is correct
15 Correct 3 ms 2688 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 3 ms 2688 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 3 ms 2688 KB Output is correct
20 Correct 3 ms 2688 KB Output is correct
21 Correct 3 ms 2688 KB Output is correct
22 Correct 2 ms 2688 KB Output is correct
23 Correct 4 ms 2688 KB Output is correct
24 Correct 2 ms 2688 KB Output is correct
25 Correct 2 ms 2688 KB Output is correct
26 Correct 2 ms 2688 KB Output is correct
27 Correct 2 ms 2688 KB Output is correct
28 Correct 4 ms 2688 KB Output is correct
29 Correct 4 ms 2688 KB Output is correct
30 Correct 4 ms 2688 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 3 ms 2688 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 2 ms 2688 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 3 ms 2688 KB Output is correct
8 Correct 3 ms 2688 KB Output is correct
9 Correct 2 ms 2688 KB Output is correct
10 Correct 2 ms 2688 KB Output is correct
11 Correct 2 ms 2720 KB Output is correct
12 Correct 3 ms 2688 KB Output is correct
13 Correct 4 ms 2688 KB Output is correct
14 Correct 3 ms 2688 KB Output is correct
15 Correct 3 ms 2688 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 3 ms 2688 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 3 ms 2688 KB Output is correct
20 Correct 3 ms 2688 KB Output is correct
21 Correct 3 ms 2688 KB Output is correct
22 Correct 2 ms 2688 KB Output is correct
23 Correct 4 ms 2688 KB Output is correct
24 Correct 2 ms 2688 KB Output is correct
25 Correct 2 ms 2688 KB Output is correct
26 Correct 2 ms 2688 KB Output is correct
27 Correct 2 ms 2688 KB Output is correct
28 Correct 4 ms 2688 KB Output is correct
29 Correct 4 ms 2688 KB Output is correct
30 Correct 4 ms 2688 KB Output is correct
31 Correct 2 ms 2688 KB Output is correct
32 Correct 3 ms 2688 KB Output is correct
33 Correct 3 ms 2688 KB Output is correct
34 Correct 3 ms 2688 KB Output is correct
35 Correct 2 ms 2688 KB Output is correct
36 Correct 55 ms 2892 KB Output is correct
37 Correct 80 ms 2944 KB Output is correct
38 Correct 5 ms 2756 KB Output is correct
39 Correct 103 ms 5984 KB Output is correct
40 Correct 125 ms 3576 KB Output is correct
41 Correct 4 ms 2688 KB Output is correct
42 Correct 145 ms 3456 KB Output is correct
43 Correct 51 ms 2816 KB Output is correct
44 Correct 3 ms 2688 KB Output is correct
45 Correct 3 ms 2688 KB Output is correct
46 Correct 671 ms 6160 KB Output is correct
47 Correct 103 ms 3200 KB Output is correct
48 Correct 140 ms 5888 KB Output is correct
49 Correct 429 ms 5888 KB Output is correct
50 Correct 4 ms 2688 KB Output is correct
51 Correct 29 ms 2688 KB Output is correct
52 Correct 4 ms 2688 KB Output is correct
53 Correct 85 ms 4412 KB Output is correct
54 Correct 126 ms 5944 KB Output is correct
55 Correct 4 ms 2688 KB Output is correct
56 Correct 2 ms 2688 KB Output is correct
57 Correct 4 ms 2688 KB Output is correct
58 Correct 398 ms 6264 KB Output is correct
59 Correct 2 ms 2688 KB Output is correct
60 Correct 34 ms 2816 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 88 ms 7124 KB Output is correct
2 Correct 21 ms 4736 KB Output is correct
3 Correct 1871 ms 64024 KB Output is correct
4 Correct 806 ms 33476 KB Output is correct
5 Correct 202 ms 10604 KB Output is correct
6 Correct 159 ms 9188 KB Output is correct
7 Correct 248 ms 11320 KB Output is correct
8 Correct 107 ms 7160 KB Output is correct
9 Correct 162 ms 8848 KB Output is correct
10 Correct 122 ms 7672 KB Output is correct
11 Correct 2060 ms 67476 KB Output is correct
12 Correct 139 ms 7928 KB Output is correct
13 Correct 504 ms 21776 KB Output is correct
14 Correct 226 ms 11272 KB Output is correct
15 Correct 1866 ms 66612 KB Output is correct
16 Correct 56 ms 6776 KB Output is correct
17 Correct 1275 ms 51292 KB Output is correct
18 Correct 9 ms 4736 KB Output is correct
19 Correct 2208 ms 71960 KB Output is correct
20 Correct 266 ms 10924 KB Output is correct
21 Correct 224 ms 10264 KB Output is correct
22 Correct 112 ms 7556 KB Output is correct
23 Correct 41 ms 6140 KB Output is correct
24 Correct 1288 ms 55108 KB Output is correct
25 Correct 186 ms 8968 KB Output is correct
26 Correct 87 ms 7160 KB Output is correct
27 Correct 129 ms 8268 KB Output is correct
28 Correct 22 ms 5504 KB Output is correct
29 Correct 235 ms 11136 KB Output is correct
30 Correct 441 ms 18388 KB Output is correct

Subtask #4
0 / 58.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 3 ms 2688 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 2 ms 2688 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 3 ms 2688 KB Output is correct
8 Correct 3 ms 2688 KB Output is correct
9 Correct 2 ms 2688 KB Output is correct
10 Correct 2 ms 2688 KB Output is correct
11 Correct 2 ms 2720 KB Output is correct
12 Correct 3 ms 2688 KB Output is correct
13 Correct 4 ms 2688 KB Output is correct
14 Correct 3 ms 2688 KB Output is correct
15 Correct 3 ms 2688 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 3 ms 2688 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 3 ms 2688 KB Output is correct
20 Correct 3 ms 2688 KB Output is correct
21 Correct 3 ms 2688 KB Output is correct
22 Correct 2 ms 2688 KB Output is correct
23 Correct 4 ms 2688 KB Output is correct
24 Correct 2 ms 2688 KB Output is correct
25 Correct 2 ms 2688 KB Output is correct
26 Correct 2 ms 2688 KB Output is correct
27 Correct 2 ms 2688 KB Output is correct
28 Correct 4 ms 2688 KB Output is correct
29 Correct 4 ms 2688 KB Output is correct
30 Correct 4 ms 2688 KB Output is correct
31 Correct 2 ms 2688 KB Output is correct
32 Correct 3 ms 2688 KB Output is correct
33 Correct 3 ms 2688 KB Output is correct
34 Correct 3 ms 2688 KB Output is correct
35 Correct 2 ms 2688 KB Output is correct
36 Correct 55 ms 2892 KB Output is correct
37 Correct 80 ms 2944 KB Output is correct
38 Correct 5 ms 2756 KB Output is correct
39 Correct 103 ms 5984 KB Output is correct
40 Correct 125 ms 3576 KB Output is correct
41 Correct 4 ms 2688 KB Output is correct
42 Correct 145 ms 3456 KB Output is correct
43 Correct 51 ms 2816 KB Output is correct
44 Correct 3 ms 2688 KB Output is correct
45 Correct 3 ms 2688 KB Output is correct
46 Correct 671 ms 6160 KB Output is correct
47 Correct 103 ms 3200 KB Output is correct
48 Correct 140 ms 5888 KB Output is correct
49 Correct 429 ms 5888 KB Output is correct
50 Correct 4 ms 2688 KB Output is correct
51 Correct 29 ms 2688 KB Output is correct
52 Correct 4 ms 2688 KB Output is correct
53 Correct 85 ms 4412 KB Output is correct
54 Correct 126 ms 5944 KB Output is correct
55 Correct 4 ms 2688 KB Output is correct
56 Correct 2 ms 2688 KB Output is correct
57 Correct 4 ms 2688 KB Output is correct
58 Correct 398 ms 6264 KB Output is correct
59 Correct 2 ms 2688 KB Output is correct
60 Correct 34 ms 2816 KB Output is correct
61 Correct 88 ms 7124 KB Output is correct
62 Correct 21 ms 4736 KB Output is correct
63 Correct 1871 ms 64024 KB Output is correct
64 Correct 806 ms 33476 KB Output is correct
65 Correct 202 ms 10604 KB Output is correct
66 Correct 159 ms 9188 KB Output is correct
67 Correct 248 ms 11320 KB Output is correct
68 Correct 107 ms 7160 KB Output is correct
69 Correct 162 ms 8848 KB Output is correct
70 Correct 122 ms 7672 KB Output is correct
71 Correct 2060 ms 67476 KB Output is correct
72 Correct 139 ms 7928 KB Output is correct
73 Correct 504 ms 21776 KB Output is correct
74 Correct 226 ms 11272 KB Output is correct
75 Correct 1866 ms 66612 KB Output is correct
76 Correct 56 ms 6776 KB Output is correct
77 Correct 1275 ms 51292 KB Output is correct
78 Correct 9 ms 4736 KB Output is correct
79 Correct 2208 ms 71960 KB Output is correct
80 Correct 266 ms 10924 KB Output is correct
81 Correct 224 ms 10264 KB Output is correct
82 Correct 112 ms 7556 KB Output is correct
83 Correct 41 ms 6140 KB Output is correct
84 Correct 1288 ms 55108 KB Output is correct
85 Correct 186 ms 8968 KB Output is correct
86 Correct 87 ms 7160 KB Output is correct
87 Correct 129 ms 8268 KB Output is correct
88 Correct 22 ms 5504 KB Output is correct
89 Correct 235 ms 11136 KB Output is correct
90 Correct 441 ms 18388 KB Output is correct
91 Incorrect 135 ms 10276 KB Output isn't correct
92 Halted 0 ms 0 KB -