oj.uz

Submission #705740

# Submission time Handle Problem Language Result Execution time Memory
705740 2023-03-05T04:28:14 Z cig32 Olympic Bus (JOI20_ho_t4) C++17
37 / 100
 1000 ms 11500 KB 
#include "bits/stdc++.h"
#define int long long
using namespace std;
int n, m;
int dist1[232][232];
int distn[232][232];
int rev1[232][232];
int revn[232][232];
int refer;
bool cmp5(pair<pair<int,int>,int> x, pair<pair<int,int>,int> y) {
  return revn[refer][x.first.first] + x.first.second < revn[refer][y.first.first] + y.first.second;
}
bool cmp6(pair<pair<int,int>,int> x, pair<pair<int,int>,int> y) {
  return rev1[refer][x.first.first] + x.first.second < rev1[refer][y.first.first] + y.first.second;
}

mt19937_64 rng((int) std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
  return uniform_int_distribution<int>(x, y)(rng);
}
int32_t main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  int n, m;
  cin >> n >> m;
  pair<pair<int,int>,pair<int,int> > e[m+1];
  for(int i=1; i<=m; i++) { // O(m)
    cin >> e[i].first.first >> e[i].first.second >> e[i].second.first >> e[i].second.second;
  }
  for(int i=0; i<=n; i++) { // O(n^2)
    for(int j=0; j<=n; j++) {
      dist1[i][j] = distn[i][j] = rev1[i][j] = revn[i][j] = 1e18;
    }
    dist1[i][1] = 0;
    distn[i][n] = 0;
    rev1[i][1] = 0;
    revn[i][n] = 0;
  }
  for(int b=0; b<=n; b++) {
    vector<pair<int, int> > adj[n+1], rev[n+1];
    bool vis[n+1];
    for(int i=1; i<=m; i++) {
      if(e[i].first.first != b && e[i].first.second != b) {
        adj[e[i].first.first].push_back({e[i].first.second, e[i].second.first});
        rev[e[i].first.second].push_back({e[i].first.first, e[i].second.first});
      }
    }
    priority_queue<pair<int,int>, vector<pair<int,int> >, greater<pair<int,int> > > pq;
    for(int i=1; i<=n; i++) pq.push({dist1[b][i], i});
    for(int i=1; i<=n; i++) vis[i] = 0;
    while(pq.size()) {
      pair<int,int> t = pq.top(); pq.pop();
      if(!vis[t.second]) {
        for(pair<int, int> x: adj[t.second]) {
          if(!vis[x.first] && dist1[b][x.first] > dist1[b][t.second]+x.second) {
            dist1[b][x.first] = dist1[b][t.second]+x.second;
            pq.push({dist1[b][x.first], x.first});
          }
        }
      }
    }
    for(int i=1; i<=n; i++) pq.push({distn[b][i], i});
    for(int i=1; i<=n; i++) vis[i] = 0;
    while(pq.size()) {
      pair<int,int> t = pq.top(); pq.pop();
      if(!vis[t.second]) {
        for(pair<int, int> x: adj[t.second]) {
          if(!vis[x.first] && distn[b][x.first] > distn[b][t.second]+x.second) {
            distn[b][x.first] = distn[b][t.second]+x.second;
            pq.push({distn[b][x.first], x.first});
          }
        }
      }
    }
    for(int i=1; i<=n; i++) pq.push({rev1[b][i], i});
    for(int i=1; i<=n; i++) vis[i] = 0;
    while(pq.size()) {
      pair<int,int> t = pq.top(); pq.pop();
      if(!vis[t.second]) {
        for(pair<int, int> x: rev[t.second]) {
          if(!vis[x.first] && rev1[b][x.first] > rev1[b][t.second]+x.second) {
            rev1[b][x.first] = rev1[b][t.second]+x.second;
            pq.push({rev1[b][x.first], x.first});
          }
        }
      }
    }
    for(int i=1; i<=n; i++) pq.push({revn[b][i], i});
    for(int i=1; i<=n; i++) vis[i] = 0;
    while(pq.size()) {
      pair<int,int> t = pq.top(); pq.pop();
      if(!vis[t.second]) {
        for(pair<int, int> x: rev[t.second]) {
          if(!vis[x.first] && revn[b][x.first] > revn[b][t.second]+x.second) {
            revn[b][x.first] = revn[b][t.second]+x.second;
            pq.push({revn[b][x.first], x.first});
          }
        }
      }
    }
  }
  int ans = dist1[0][n] + distn[0][1];
  vector<pair<int,int> > adj[n+1], rev[n+1];
  vector<int> adj_id[n+1];
  for(int i=1; i<=m; i++) { // O(m)
    adj_id[e[i].first.first].push_back(i);
    adj[e[i].first.first].push_back({e[i].first.second, e[i].second.first});
    rev[e[i].first.second].push_back({e[i].first.first, e[i].second.first});
  }
  int cnt[n+1][n+1];
  for(int i=0; i<=n; i++) { // O(n^2)
    for(int j=0; j<=n; j++) {
      cnt[i][j] = 0;
    }
  }
  for(int i=1; i<=m; i++) { // O(m)
    cnt[e[i].first.first][e[i].first.second]++;
  }
  int opt1[n+1], opt2[n+1], opt3[n+1], opt4[n+1];
  for(int i=1; i<=n; i++) { // O(m)
    opt1[i] = opt2[i] = opt3[i] = opt4[i] = 1e18;
    for(pair<int, int> x: adj[i]) {
      opt1[i] = min(opt1[i], x.second + revn[i][x.first]);
      opt3[i] = min(opt3[i], x.second + rev1[i][x.first]);
    }
    for(pair<int, int> x: rev[i]) {
      opt2[i] = min(opt2[i], dist1[i][x.first] + x.second);
      opt4[i] = min(opt4[i], distn[i][x.first] + x.second);
    }
  }
  vector<pair<pair<int,int>, int> > opt5[n+1], opt6[n+1];
  for(int i=1; i<=n; i++) { // O(m log m)
    for(int j=0; j<adj[i].size(); j++) {
      opt5[i].push_back({adj[i][j], adj_id[i][j]});
    }
    refer = i;
    sort(opt5[i].begin(), opt5[i].end(), cmp5);
    for(int j=0; j<adj[i].size(); j++) {
      opt6[i].push_back({adj[i][j], adj_id[i][j]});
    }
    sort(opt6[i].begin(), opt6[i].end(), cmp6);
  }
  for(int i=1; i<=m; i++) { // O(m)
    int forward, backward;
    forward = dist1[e[i].first.first][e[i].first.second] + e[i].second.first;
    int mi = (e[i].first.first == n ? 0 : 1e18);
    mi = min(mi, opt1[e[i].first.first]);
    forward += mi;
    forward = min(forward, dist1[e[i].first.first][n]);
    
    int pt1 = (e[i].first.first == 1 ? 0 : 1e18);
    int pt2 = (e[i].first.first == n ? 0 : 1e18);
    pt1 = min(pt1, opt2[e[i].first.first]);
    for(pair<pair<int,int>, int> x: opt5[e[i].first.first]) {
      if(x.second == i) {
        continue;
      }
      pt2 = min(pt2, revn[e[i].first.first][x.first.first] + x.first.second);
      break;
    }
    forward = min(forward, pt1 + pt2);
    backward = distn[e[i].first.first][e[i].first.second] + e[i].second.first;
    mi = (e[i].first.first == 1 ? 0 : 1e18);
    mi = min(mi, opt3[e[i].first.first]);
    backward += mi;
    backward = min(backward, distn[e[i].first.first][1]);
    pt1 = (e[i].first.first == n ? 0 : 1e18);
    pt2 = (e[i].first.first == 1 ? 0 : 1e18);
    pt1 = min(pt1, opt4[e[i].first.first]);
    for(pair<pair<int,int>, int> x: opt6[e[i].first.first]) {
      if(x.second == i) {
        continue;
      }
      pt2 = min(pt2, rev1[e[i].first.first][x.first.first] + x.first.second);
      break;
    }
    backward = min(backward, pt1 + pt2);
    ans = min(ans, forward + backward + e[i].second.second);
    //cout << "flip pair<pair<int,int>,pair<int,int> > " << i << ": " << forward << " + " << backward << " + " << e[i].second.second << " = " << forward + backward + e[i].second.second << "\n";
  }
  cout << (ans <= 1e12 ? ans : -1) << "\n";
}
/*
5 6
1 2 1 10000
2 5 1 10000
5 3 1 10000
2 3 10 1
2 4 1 10000
4 1 1 10000
 
2 2
1 2 3 4
1 2 3 9
 
3 4
1 2 3 4
2 3 3 9
2 1 3 10
2 3 3 11
 
2 7
1 2 1 1
1 2 1 7
1 2 1 3
1 2 1 4
1 2 1 5
1 2 1 6
1 2 1 9
*/

Compilation message

ho_t4.cpp: In function 'int32_t main()':
ho_t4.cpp:133:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  133 |     for(int j=0; j<adj[i].size(); j++) {
      |                  ~^~~~~~~~~~~~~~
ho_t4.cpp:138:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  138 |     for(int j=0; j<adj[i].size(); j++) {
      |                  ~^~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 2288 KB Output is correct
2 Correct 15 ms 2132 KB Output is correct
3 Correct 60 ms 2284 KB Output is correct
4 Correct 61 ms 2276 KB Output is correct
5 Correct 4 ms 724 KB Output is correct
6 Correct 19 ms 2132 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 64 ms 2288 KB Output is correct
11 Correct 65 ms 2276 KB Output is correct
12 Correct 65 ms 2284 KB Output is correct
13 Correct 36 ms 2284 KB Output is correct
14 Correct 48 ms 2276 KB Output is correct
15 Correct 50 ms 2288 KB Output is correct
16 Correct 46 ms 2316 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 766 ms 10044 KB Output is correct
2 Correct 750 ms 9768 KB Output is correct
3 Correct 815 ms 9968 KB Output is correct
4 Correct 69 ms 2372 KB Output is correct
5 Correct 53 ms 2280 KB Output is correct
6 Correct 27 ms 2124 KB Output is correct
7 Correct 17 ms 2132 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 593 ms 10852 KB Output is correct
10 Correct 565 ms 11060 KB Output is correct
11 Correct 659 ms 10444 KB Output is correct
12 Correct 640 ms 10396 KB Output is correct
13 Correct 667 ms 10440 KB Output is correct
14 Correct 681 ms 11500 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 2168 KB Output is correct
2 Correct 18 ms 2084 KB Output is correct
3 Correct 404 ms 8512 KB Output is correct
4 Correct 16 ms 2096 KB Output is correct
5 Correct 511 ms 10268 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 504 ms 10372 KB Output is correct
9 Correct 468 ms 10552 KB Output is correct
10 Correct 526 ms 9736 KB Output is correct
11 Correct 523 ms 9868 KB Output is correct
12 Correct 530 ms 10032 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 531 ms 10680 KB Output is correct
20 Correct 504 ms 10356 KB Output is correct
21 Correct 505 ms 10148 KB Output is correct
22 Correct 498 ms 10192 KB Output is correct

Subtask #4
0 / 63.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 2288 KB Output is correct
2 Correct 15 ms 2132 KB Output is correct
3 Correct 60 ms 2284 KB Output is correct
4 Correct 61 ms 2276 KB Output is correct
5 Correct 4 ms 724 KB Output is correct
6 Correct 19 ms 2132 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 64 ms 2288 KB Output is correct
11 Correct 65 ms 2276 KB Output is correct
12 Correct 65 ms 2284 KB Output is correct
13 Correct 36 ms 2284 KB Output is correct
14 Correct 48 ms 2276 KB Output is correct
15 Correct 50 ms 2288 KB Output is correct
16 Correct 46 ms 2316 KB Output is correct
17 Correct 766 ms 10044 KB Output is correct
18 Correct 750 ms 9768 KB Output is correct
19 Correct 815 ms 9968 KB Output is correct
20 Correct 69 ms 2372 KB Output is correct
21 Correct 53 ms 2280 KB Output is correct
22 Correct 27 ms 2124 KB Output is correct
23 Correct 17 ms 2132 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 593 ms 10852 KB Output is correct
26 Correct 565 ms 11060 KB Output is correct
27 Correct 659 ms 10444 KB Output is correct
28 Correct 640 ms 10396 KB Output is correct
29 Correct 667 ms 10440 KB Output is correct
30 Correct 681 ms 11500 KB Output is correct
31 Correct 46 ms 2168 KB Output is correct
32 Correct 18 ms 2084 KB Output is correct
33 Correct 404 ms 8512 KB Output is correct
34 Correct 16 ms 2096 KB Output is correct
35 Correct 511 ms 10268 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 504 ms 10372 KB Output is correct
39 Correct 468 ms 10552 KB Output is correct
40 Correct 526 ms 9736 KB Output is correct
41 Correct 523 ms 9868 KB Output is correct
42 Correct 530 ms 10032 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 531 ms 10680 KB Output is correct
50 Correct 504 ms 10356 KB Output is correct
51 Correct 505 ms 10148 KB Output is correct
52 Correct 498 ms 10192 KB Output is correct
53 Correct 767 ms 10052 KB Output is correct
54 Correct 795 ms 10160 KB Output is correct
55 Correct 754 ms 9996 KB Output is correct
56 Correct 55 ms 2380 KB Output is correct
57 Correct 54 ms 2304 KB Output is correct
58 Correct 607 ms 8352 KB Output is correct
59 Correct 648 ms 8348 KB Output is correct
60 Correct 631 ms 8608 KB Output is correct
61 Correct 602 ms 8484 KB Output is correct
62 Correct 629 ms 8372 KB Output is correct
63 Correct 627 ms 8392 KB Output is correct
64 Execution timed out 1068 ms 6156 KB Time limit exceeded
65 Halted 0 ms 0 KB -