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Submission #890094

# Submission time Handle Problem Language Result Execution time Memory
890094 2023-12-20T14:08:02 Z vjudge1 Relay Marathon (NOI20_relaymarathon) C++14
17 / 100
 6000 ms 14908 KB 
#include<bits/stdc++.h>

using namespace std;

#define int long long
#define all(a) (a).begin(), (a).end()

const int N=1e5+1, MAX_SIZE=6;
int n, m, k;
vector<pair<int, int>> dist[N];
vector<pair<int, int>> g[N];

bool optimize(int idx, pair<int, int> val){
   for (auto &i:dist[idx]) if (i.second==val.second){
      if (i.first>val.first){
         i=val;
         return 1;
      }
      return 0;
   }
   if ((int)dist[idx].size()<MAX_SIZE){
      dist[idx].push_back(val);
      sort(dist[idx].begin(), dist[idx].end());
      return 1;
   }
   if (val.first<dist[idx].back().first){
      dist[idx].push_back(val);
      sort(dist[idx].begin(), dist[idx].end());
      dist[idx].pop_back();
      return 1;
   }
   return 0;
}

bool optimize(int idx, int par, int w){
   bool ans=0;
   for (auto &i:dist[par]){
      ans|=optimize(idx, {i.first+w, i.second});
   }
   return ans;
}

struct cmp{
   bool operator()(const pair<vector<pair<int, int>>, int> &a, const pair<vector<pair<int, int>>, int> &b){
      for (int i=0; i<min<int>(a.first.size(), b.first.size()); ++i) if (a.first[i]!=b.first[i]) return a.first[i]<b.first[i];
      if (a.first.size()!=b.first.size()) return a.first.size()<b.first.size();
      return a.second<b.second;
   }
};

int32_t main(){
   ios_base::sync_with_stdio(false);
   cin.tie(nullptr);
   cin >> n >> m >> k;
   for (int i=1; i<=m; ++i){
      int u, v, w; cin >> u >> v >> w;
      g[u].emplace_back(v, w);
      g[v].emplace_back(u, w);
   }
   priority_queue<pair<vector<pair<int, int>>, int>, vector<pair<vector<pair<int, int>>, int>>, cmp> pq;
   for (int i=1; i<=k; ++i){
      int x; cin >> x;
      dist[x].emplace_back(0, x);
      pq.emplace(dist[x], x);
   }
   while (pq.size()){
      int u=pq.top().second; pq.pop();
      for (auto &e:g[u]){
         int v=e.first, w=e.second;
         if (optimize(v, u, w)) pq.emplace(dist[v], v);
      }
   }
   int ans=1e18;
   set<pair<int, pair<int, int>>> st;
   for (int i=1; i<=n; ++i){
      vector<pair<int, int>> d2;
      for (auto &j:dist[i]){
         int u=i, v=j.second, d=j.first;
         if (d && find(all(dist[v]), pair<int, int>{d, u})!=dist[v].end()){
            st.insert({d, {u, v}});
            st.insert({d, {v, u}});
            d2.emplace_back(d, v);
         }
      }
      dist[i].swap(d2);
   }
   for (int i=1; i<=n; ++i){
      int u=i;
      for (auto &j:dist[i]){
         int v=j.second;
         for (auto &t:dist[u]){
            st.erase({t.first, {u, t.second}});
            st.erase({t.first, {t.second, u}});
         }
         for (auto &t:dist[v]){
            st.erase({t.first, {v, t.second}});
            st.erase({t.first, {t.second, v}});
         }
         if (st.size()){
            ans=min(ans, j.first+st.begin()->first);
         }
         for (auto &t:dist[u]){
            st.insert({t.first, {u, t.second}});
            st.insert({t.first, {t.second, u}});
         }
         for (auto &t:dist[v]){
            st.insert({t.first, {v, t.second}});
            st.insert({t.first, {t.second, v}});
         }
      }
   }
   cout << ans;
   return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4956 KB Output is correct
2 Correct 5 ms 5340 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 1 ms 4956 KB Output is correct
5 Correct 1 ms 5028 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 6 ms 5212 KB Output is correct
8 Correct 5 ms 5212 KB Output is correct
9 Correct 2 ms 5212 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 3 ms 5128 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 5 ms 5212 KB Output is correct
14 Correct 4 ms 5212 KB Output is correct
15 Correct 4 ms 5164 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 3 ms 5212 KB Output is correct
18 Correct 1 ms 4956 KB Output is correct
19 Correct 4 ms 5212 KB Output is correct
20 Correct 3 ms 5212 KB Output is correct
21 Correct 4 ms 5156 KB Output is correct
22 Correct 1 ms 4952 KB Output is correct
23 Correct 3 ms 5256 KB Output is correct
24 Correct 2 ms 4956 KB Output is correct
25 Correct 2 ms 4956 KB Output is correct
26 Correct 2 ms 4956 KB Output is correct
27 Correct 2 ms 4952 KB Output is correct
28 Correct 5 ms 5212 KB Output is correct
29 Correct 4 ms 5164 KB Output is correct
30 Correct 6 ms 5212 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4956 KB Output is correct
2 Correct 5 ms 5340 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 1 ms 4956 KB Output is correct
5 Correct 1 ms 5028 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 6 ms 5212 KB Output is correct
8 Correct 5 ms 5212 KB Output is correct
9 Correct 2 ms 5212 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 3 ms 5128 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 5 ms 5212 KB Output is correct
14 Correct 4 ms 5212 KB Output is correct
15 Correct 4 ms 5164 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 3 ms 5212 KB Output is correct
18 Correct 1 ms 4956 KB Output is correct
19 Correct 4 ms 5212 KB Output is correct
20 Correct 3 ms 5212 KB Output is correct
21 Correct 4 ms 5156 KB Output is correct
22 Correct 1 ms 4952 KB Output is correct
23 Correct 3 ms 5256 KB Output is correct
24 Correct 2 ms 4956 KB Output is correct
25 Correct 2 ms 4956 KB Output is correct
26 Correct 2 ms 4956 KB Output is correct
27 Correct 2 ms 4952 KB Output is correct
28 Correct 5 ms 5212 KB Output is correct
29 Correct 4 ms 5164 KB Output is correct
30 Correct 6 ms 5212 KB Output is correct
31 Correct 3 ms 5208 KB Output is correct
32 Correct 8 ms 5296 KB Output is correct
33 Correct 9 ms 5208 KB Output is correct
34 Correct 2 ms 4956 KB Output is correct
35 Correct 1 ms 4956 KB Output is correct
36 Correct 75 ms 9676 KB Output is correct
37 Correct 30 ms 6868 KB Output is correct
38 Correct 16 ms 5468 KB Output is correct
39 Correct 812 ms 11304 KB Output is correct
40 Correct 221 ms 10280 KB Output is correct
41 Correct 18 ms 5464 KB Output is correct
42 Correct 177 ms 10532 KB Output is correct
43 Correct 49 ms 7880 KB Output is correct
44 Correct 15 ms 5468 KB Output is correct
45 Correct 2 ms 4956 KB Output is correct
46 Correct 870 ms 14908 KB Output is correct
47 Correct 215 ms 9960 KB Output is correct
48 Correct 776 ms 11720 KB Output is correct
49 Correct 926 ms 14308 KB Output is correct
50 Correct 15 ms 5208 KB Output is correct
51 Correct 9 ms 5468 KB Output is correct
52 Correct 12 ms 5212 KB Output is correct
53 Correct 528 ms 10060 KB Output is correct
54 Correct 857 ms 11632 KB Output is correct
55 Correct 8 ms 5208 KB Output is correct
56 Correct 2 ms 5212 KB Output is correct
57 Correct 12 ms 5384 KB Output is correct
58 Correct 1348 ms 13544 KB Output is correct
59 Correct 1 ms 4956 KB Output is correct
60 Correct 14 ms 6148 KB Output is correct

Subtask #3
0 / 25.0

# Verdict Execution time Memory Grader output
1 Execution timed out 6035 ms 12668 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 58.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4956 KB Output is correct
2 Correct 5 ms 5340 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 1 ms 4956 KB Output is correct
5 Correct 1 ms 5028 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 6 ms 5212 KB Output is correct
8 Correct 5 ms 5212 KB Output is correct
9 Correct 2 ms 5212 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 3 ms 5128 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 5 ms 5212 KB Output is correct
14 Correct 4 ms 5212 KB Output is correct
15 Correct 4 ms 5164 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 3 ms 5212 KB Output is correct
18 Correct 1 ms 4956 KB Output is correct
19 Correct 4 ms 5212 KB Output is correct
20 Correct 3 ms 5212 KB Output is correct
21 Correct 4 ms 5156 KB Output is correct
22 Correct 1 ms 4952 KB Output is correct
23 Correct 3 ms 5256 KB Output is correct
24 Correct 2 ms 4956 KB Output is correct
25 Correct 2 ms 4956 KB Output is correct
26 Correct 2 ms 4956 KB Output is correct
27 Correct 2 ms 4952 KB Output is correct
28 Correct 5 ms 5212 KB Output is correct
29 Correct 4 ms 5164 KB Output is correct
30 Correct 6 ms 5212 KB Output is correct
31 Correct 3 ms 5208 KB Output is correct
32 Correct 8 ms 5296 KB Output is correct
33 Correct 9 ms 5208 KB Output is correct
34 Correct 2 ms 4956 KB Output is correct
35 Correct 1 ms 4956 KB Output is correct
36 Correct 75 ms 9676 KB Output is correct
37 Correct 30 ms 6868 KB Output is correct
38 Correct 16 ms 5468 KB Output is correct
39 Correct 812 ms 11304 KB Output is correct
40 Correct 221 ms 10280 KB Output is correct
41 Correct 18 ms 5464 KB Output is correct
42 Correct 177 ms 10532 KB Output is correct
43 Correct 49 ms 7880 KB Output is correct
44 Correct 15 ms 5468 KB Output is correct
45 Correct 2 ms 4956 KB Output is correct
46 Correct 870 ms 14908 KB Output is correct
47 Correct 215 ms 9960 KB Output is correct
48 Correct 776 ms 11720 KB Output is correct
49 Correct 926 ms 14308 KB Output is correct
50 Correct 15 ms 5208 KB Output is correct
51 Correct 9 ms 5468 KB Output is correct
52 Correct 12 ms 5212 KB Output is correct
53 Correct 528 ms 10060 KB Output is correct
54 Correct 857 ms 11632 KB Output is correct
55 Correct 8 ms 5208 KB Output is correct
56 Correct 2 ms 5212 KB Output is correct
57 Correct 12 ms 5384 KB Output is correct
58 Correct 1348 ms 13544 KB Output is correct
59 Correct 1 ms 4956 KB Output is correct
60 Correct 14 ms 6148 KB Output is correct
61 Execution timed out 6035 ms 12668 KB Time limit exceeded
62 Halted 0 ms 0 KB -