oj.uz

Submission #255331

# Submission time Handle Problem Language Result Execution time Memory
255331 2020-07-31T17:34:12 Z model_code Relay Marathon (NOI20_relaymarathon) C++17
100 / 100
 2993 ms 139204 KB 
#include <bits/stdc++.h>
using namespace std;

const int N = 1e6 + 5;

vector<pair<int, int> > adj[N];
int n, d[N], dx1[N], dy1[N], p[N];
set<int> S;
bool vis[N];
bool skip[N];
vector<pair<pair<int, int>, int> > E;

priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > > Q;

void djikstra() {
  while(!Q.empty()) {
    int u = Q.top().second;
    Q.pop();
    if(vis[u]) continue;
    vis[u] = 1;
    for(auto nbr : adj[u]) {
      int v = nbr.first, w = nbr.second;
      if(skip[v]) continue;
      if(d[u] + w < d[v]) {
        d[v] = d[u] + w;
        Q.push({d[v], v});
        p[v] = p[u];
      }
    }
  }
}

void run(int src) {
  while(!Q.empty()) Q.pop();
  for(int i = 1; i <= n + 4; i++) d[i] = INT_MAX, vis[i] = 0;
  d[src] = 0;
  p[src] = src;
  Q.push({0, src});
  djikstra();
}

pair<pair<int, int>, int> run_nearest() {
  while(!Q.empty()) Q.pop();
  for(int i = 1; i <= n + 4; i++) d[i] = INT_MAX, vis[i] = 0;
  for(auto u : S) {
    if(skip[u]) continue;
    Q.push({0, u});
    d[u] = 0;
    p[u] = u;
  }
  djikstra();
  int ans = INT_MAX, a = -1, b = -1;
  for(auto e : E) {
    int u = e.first.first, v = e.first.second, w = e.second;
    if(skip[u] == 1 or skip[v] == 1)  continue;
    if(d[u] == INT_MAX or d[v] == INT_MAX or p[u] == p[v])  continue;
    if(ans > d[u] + w + d[v]) {
      ans = d[u] + w + d[v];
      a = p[u], b = p[v];
    }
  }
  return {{a, b}, ans};
}

int main() {
  cin.tie(NULL);
  ios::sync_with_stdio(false);
  srand(time(NULL));
  int m, k, u, v, w;
  cin>>n>>m>>k;
  while(m--) {
    cin>>u>>v>>w;
    adj[u].push_back({v, w});
    adj[v].push_back({u, w});
    E.push_back({{u, v}, w});
  }

  for(int i = 1; i <= k; i++) {
    cin>>u;
    S.insert(u);
  }

  pair<pair<int, int>, int> tmp = run_nearest();

  int x1 = tmp.first.first, y1 = tmp.first.second, d1 = tmp.second;
  int c1 = -1, c2 = -1;

  run(x1);
  for(int i = 1; i <= n; i++) dx1[i] = d[i];
  run(y1);
  for(int i = 1; i <= n; i++) dy1[i] = d[i];

  for(auto c : S) {
    if(c == x1 or c == y1)  continue;
    if(c1 == -1 or dy1[c] <= dy1[c1]) {
      c2 = c1;
      c1 = c;
    } else if(c2 == -1 or dy1[c] < dy1[c2]) {
      c2 = c;
    }
  }

  int ans = INT_MAX, a1 = -1, a2 = -1, a3 = -1, a4 = -1;
  if(dx1[c1] != INT_MAX and dy1[c2] != INT_MAX) {
    if(ans > dx1[c1] + dy1[c2]) {
      ans = dx1[c1] + dy1[c2];
      a1 = x1, a2 = c1, a3 = y1, a4 = c2;
    }
  }
  for(auto x2 : S) {
    if(x2 == x1 or x2 == y1 or x2 == c1)  continue;
    if(dx1[x2] != INT_MAX and dy1[c1] != INT_MAX) {
      if(ans > dx1[x2] + dy1[c1]) {
        ans = dx1[x2] + dy1[c1];
        a1 = x1, a2 = x2, a3 = y1, a4 = c1;
      }
    }
  }

  //Try commenting this portion and then checking if it fails or not.
  skip[x1] = skip[y1] = 1;
  tmp = run_nearest();
  int d2 = tmp.second;
  if(d1 != INT_MAX and d2 != INT_MAX) {
    if(ans > d1 + d2) {
      ans = d1 + d2;
      a1 = x1, a2 = y1, a3 = tmp.first.first, a4 = tmp.first.second;
    }
  }

  cout<<ans<<endl;
  //cerr<<a1<<" "<<a2<<" "<<a3<<" "<<a4<<endl;
}

Compilation message

RelayMarathon.cpp: In function 'int main()':
RelayMarathon.cpp:103:22: warning: variable 'a1' set but not used [-Wunused-but-set-variable]
   int ans = INT_MAX, a1 = -1, a2 = -1, a3 = -1, a4 = -1;
                      ^~
RelayMarathon.cpp:103:31: warning: variable 'a2' set but not used [-Wunused-but-set-variable]
   int ans = INT_MAX, a1 = -1, a2 = -1, a3 = -1, a4 = -1;
                               ^~
RelayMarathon.cpp:103:40: warning: variable 'a3' set but not used [-Wunused-but-set-variable]
   int ans = INT_MAX, a1 = -1, a2 = -1, a3 = -1, a4 = -1;
                                        ^~
RelayMarathon.cpp:103:49: warning: variable 'a4' set but not used [-Wunused-but-set-variable]
   int ans = INT_MAX, a1 = -1, a2 = -1, a3 = -1, a4 = -1;
                                                 ^~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 23808 KB Output is correct
2 Correct 18 ms 23936 KB Output is correct
3 Correct 21 ms 23808 KB Output is correct
4 Correct 15 ms 23808 KB Output is correct
5 Correct 17 ms 23936 KB Output is correct
6 Correct 15 ms 23808 KB Output is correct
7 Correct 15 ms 23936 KB Output is correct
8 Correct 16 ms 23936 KB Output is correct
9 Correct 15 ms 23808 KB Output is correct
10 Correct 20 ms 23808 KB Output is correct
11 Correct 19 ms 23808 KB Output is correct
12 Correct 17 ms 23808 KB Output is correct
13 Correct 15 ms 23936 KB Output is correct
14 Correct 15 ms 23936 KB Output is correct
15 Correct 18 ms 23936 KB Output is correct
16 Correct 15 ms 23808 KB Output is correct
17 Correct 15 ms 23936 KB Output is correct
18 Correct 20 ms 23808 KB Output is correct
19 Correct 15 ms 23936 KB Output is correct
20 Correct 18 ms 23936 KB Output is correct
21 Correct 23 ms 23936 KB Output is correct
22 Correct 15 ms 23808 KB Output is correct
23 Correct 17 ms 23936 KB Output is correct
24 Correct 19 ms 23808 KB Output is correct
25 Correct 17 ms 23808 KB Output is correct
26 Correct 15 ms 23808 KB Output is correct
27 Correct 17 ms 23808 KB Output is correct
28 Correct 15 ms 23936 KB Output is correct
29 Correct 22 ms 23936 KB Output is correct
30 Correct 15 ms 23936 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 23808 KB Output is correct
2 Correct 18 ms 23936 KB Output is correct
3 Correct 21 ms 23808 KB Output is correct
4 Correct 15 ms 23808 KB Output is correct
5 Correct 17 ms 23936 KB Output is correct
6 Correct 15 ms 23808 KB Output is correct
7 Correct 15 ms 23936 KB Output is correct
8 Correct 16 ms 23936 KB Output is correct
9 Correct 15 ms 23808 KB Output is correct
10 Correct 20 ms 23808 KB Output is correct
11 Correct 19 ms 23808 KB Output is correct
12 Correct 17 ms 23808 KB Output is correct
13 Correct 15 ms 23936 KB Output is correct
14 Correct 15 ms 23936 KB Output is correct
15 Correct 18 ms 23936 KB Output is correct
16 Correct 15 ms 23808 KB Output is correct
17 Correct 15 ms 23936 KB Output is correct
18 Correct 20 ms 23808 KB Output is correct
19 Correct 15 ms 23936 KB Output is correct
20 Correct 18 ms 23936 KB Output is correct
21 Correct 23 ms 23936 KB Output is correct
22 Correct 15 ms 23808 KB Output is correct
23 Correct 17 ms 23936 KB Output is correct
24 Correct 19 ms 23808 KB Output is correct
25 Correct 17 ms 23808 KB Output is correct
26 Correct 15 ms 23808 KB Output is correct
27 Correct 17 ms 23808 KB Output is correct
28 Correct 15 ms 23936 KB Output is correct
29 Correct 22 ms 23936 KB Output is correct
30 Correct 15 ms 23936 KB Output is correct
31 Correct 15 ms 23936 KB Output is correct
32 Correct 15 ms 23936 KB Output is correct
33 Correct 24 ms 23936 KB Output is correct
34 Correct 15 ms 23936 KB Output is correct
35 Correct 23 ms 23808 KB Output is correct
36 Correct 25 ms 24064 KB Output is correct
37 Correct 26 ms 24192 KB Output is correct
38 Correct 16 ms 23936 KB Output is correct
39 Correct 43 ms 27316 KB Output is correct
40 Correct 24 ms 24704 KB Output is correct
41 Correct 20 ms 23936 KB Output is correct
42 Correct 29 ms 24704 KB Output is correct
43 Correct 21 ms 24064 KB Output is correct
44 Correct 15 ms 23936 KB Output is correct
45 Correct 23 ms 23936 KB Output is correct
46 Correct 44 ms 27320 KB Output is correct
47 Correct 20 ms 24320 KB Output is correct
48 Correct 40 ms 27320 KB Output is correct
49 Correct 69 ms 27312 KB Output is correct
50 Correct 17 ms 23936 KB Output is correct
51 Correct 15 ms 23936 KB Output is correct
52 Correct 19 ms 23936 KB Output is correct
53 Correct 29 ms 25532 KB Output is correct
54 Correct 63 ms 27312 KB Output is correct
55 Correct 20 ms 23936 KB Output is correct
56 Correct 16 ms 23840 KB Output is correct
57 Correct 17 ms 23912 KB Output is correct
58 Correct 49 ms 27436 KB Output is correct
59 Correct 17 ms 23808 KB Output is correct
60 Correct 24 ms 23936 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 145 ms 29100 KB Output is correct
2 Correct 32 ms 25724 KB Output is correct
3 Correct 2090 ms 128376 KB Output is correct
4 Correct 1064 ms 66184 KB Output is correct
5 Correct 209 ms 33952 KB Output is correct
6 Correct 285 ms 32028 KB Output is correct
7 Correct 241 ms 34872 KB Output is correct
8 Correct 103 ms 29224 KB Output is correct
9 Correct 170 ms 31528 KB Output is correct
10 Correct 150 ms 29992 KB Output is correct
11 Correct 2496 ms 128376 KB Output is correct
12 Correct 166 ms 30372 KB Output is correct
13 Correct 974 ms 53988 KB Output is correct
14 Correct 366 ms 35240 KB Output is correct
15 Correct 2279 ms 128396 KB Output is correct
16 Correct 83 ms 28720 KB Output is correct
17 Correct 1588 ms 90764 KB Output is correct
18 Correct 25 ms 25976 KB Output is correct
19 Correct 2663 ms 128408 KB Output is correct
20 Correct 276 ms 34736 KB Output is correct
21 Correct 264 ms 33340 KB Output is correct
22 Correct 139 ms 29868 KB Output is correct
23 Correct 42 ms 27952 KB Output is correct
24 Correct 1955 ms 98796 KB Output is correct
25 Correct 213 ms 31656 KB Output is correct
26 Correct 100 ms 29356 KB Output is correct
27 Correct 153 ms 30760 KB Output is correct
28 Correct 49 ms 26936 KB Output is correct
29 Correct 224 ms 34488 KB Output is correct
30 Correct 567 ms 44296 KB Output is correct

Subtask #4
58.0 / 58.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 23808 KB Output is correct
2 Correct 18 ms 23936 KB Output is correct
3 Correct 21 ms 23808 KB Output is correct
4 Correct 15 ms 23808 KB Output is correct
5 Correct 17 ms 23936 KB Output is correct
6 Correct 15 ms 23808 KB Output is correct
7 Correct 15 ms 23936 KB Output is correct
8 Correct 16 ms 23936 KB Output is correct
9 Correct 15 ms 23808 KB Output is correct
10 Correct 20 ms 23808 KB Output is correct
11 Correct 19 ms 23808 KB Output is correct
12 Correct 17 ms 23808 KB Output is correct
13 Correct 15 ms 23936 KB Output is correct
14 Correct 15 ms 23936 KB Output is correct
15 Correct 18 ms 23936 KB Output is correct
16 Correct 15 ms 23808 KB Output is correct
17 Correct 15 ms 23936 KB Output is correct
18 Correct 20 ms 23808 KB Output is correct
19 Correct 15 ms 23936 KB Output is correct
20 Correct 18 ms 23936 KB Output is correct
21 Correct 23 ms 23936 KB Output is correct
22 Correct 15 ms 23808 KB Output is correct
23 Correct 17 ms 23936 KB Output is correct
24 Correct 19 ms 23808 KB Output is correct
25 Correct 17 ms 23808 KB Output is correct
26 Correct 15 ms 23808 KB Output is correct
27 Correct 17 ms 23808 KB Output is correct
28 Correct 15 ms 23936 KB Output is correct
29 Correct 22 ms 23936 KB Output is correct
30 Correct 15 ms 23936 KB Output is correct
31 Correct 15 ms 23936 KB Output is correct
32 Correct 15 ms 23936 KB Output is correct
33 Correct 24 ms 23936 KB Output is correct
34 Correct 15 ms 23936 KB Output is correct
35 Correct 23 ms 23808 KB Output is correct
36 Correct 25 ms 24064 KB Output is correct
37 Correct 26 ms 24192 KB Output is correct
38 Correct 16 ms 23936 KB Output is correct
39 Correct 43 ms 27316 KB Output is correct
40 Correct 24 ms 24704 KB Output is correct
41 Correct 20 ms 23936 KB Output is correct
42 Correct 29 ms 24704 KB Output is correct
43 Correct 21 ms 24064 KB Output is correct
44 Correct 15 ms 23936 KB Output is correct
45 Correct 23 ms 23936 KB Output is correct
46 Correct 44 ms 27320 KB Output is correct
47 Correct 20 ms 24320 KB Output is correct
48 Correct 40 ms 27320 KB Output is correct
49 Correct 69 ms 27312 KB Output is correct
50 Correct 17 ms 23936 KB Output is correct
51 Correct 15 ms 23936 KB Output is correct
52 Correct 19 ms 23936 KB Output is correct
53 Correct 29 ms 25532 KB Output is correct
54 Correct 63 ms 27312 KB Output is correct
55 Correct 20 ms 23936 KB Output is correct
56 Correct 16 ms 23840 KB Output is correct
57 Correct 17 ms 23912 KB Output is correct
58 Correct 49 ms 27436 KB Output is correct
59 Correct 17 ms 23808 KB Output is correct
60 Correct 24 ms 23936 KB Output is correct
61 Correct 145 ms 29100 KB Output is correct
62 Correct 32 ms 25724 KB Output is correct
63 Correct 2090 ms 128376 KB Output is correct
64 Correct 1064 ms 66184 KB Output is correct
65 Correct 209 ms 33952 KB Output is correct
66 Correct 285 ms 32028 KB Output is correct
67 Correct 241 ms 34872 KB Output is correct
68 Correct 103 ms 29224 KB Output is correct
69 Correct 170 ms 31528 KB Output is correct
70 Correct 150 ms 29992 KB Output is correct
71 Correct 2496 ms 128376 KB Output is correct
72 Correct 166 ms 30372 KB Output is correct
73 Correct 974 ms 53988 KB Output is correct
74 Correct 366 ms 35240 KB Output is correct
75 Correct 2279 ms 128396 KB Output is correct
76 Correct 83 ms 28720 KB Output is correct
77 Correct 1588 ms 90764 KB Output is correct
78 Correct 25 ms 25976 KB Output is correct
79 Correct 2663 ms 128408 KB Output is correct
80 Correct 276 ms 34736 KB Output is correct
81 Correct 264 ms 33340 KB Output is correct
82 Correct 139 ms 29868 KB Output is correct
83 Correct 42 ms 27952 KB Output is correct
84 Correct 1955 ms 98796 KB Output is correct
85 Correct 213 ms 31656 KB Output is correct
86 Correct 100 ms 29356 KB Output is correct
87 Correct 153 ms 30760 KB Output is correct
88 Correct 49 ms 26936 KB Output is correct
89 Correct 224 ms 34488 KB Output is correct
90 Correct 567 ms 44296 KB Output is correct
91 Correct 265 ms 31196 KB Output is correct
92 Correct 2993 ms 130360 KB Output is correct
93 Correct 376 ms 34864 KB Output is correct
94 Correct 1614 ms 85996 KB Output is correct
95 Correct 23 ms 25848 KB Output is correct
96 Correct 24 ms 26112 KB Output is correct
97 Correct 395 ms 39448 KB Output is correct
98 Correct 195 ms 31144 KB Output is correct
99 Correct 159 ms 31788 KB Output is correct
100 Correct 2598 ms 138312 KB Output is correct
101 Correct 1091 ms 65800 KB Output is correct
102 Correct 1033 ms 65300 KB Output is correct
103 Correct 1735 ms 101448 KB Output is correct
104 Correct 1999 ms 128356 KB Output is correct
105 Correct 149 ms 29352 KB Output is correct
106 Correct 1718 ms 102224 KB Output is correct
107 Correct 660 ms 45872 KB Output is correct
108 Correct 362 ms 33928 KB Output is correct
109 Correct 40 ms 27324 KB Output is correct
110 Correct 148 ms 29224 KB Output is correct
111 Correct 340 ms 34212 KB Output is correct
112 Correct 2610 ms 138424 KB Output is correct
113 Correct 2316 ms 139204 KB Output is correct
114 Correct 269 ms 33824 KB Output is correct
115 Correct 934 ms 64932 KB Output is correct
116 Correct 2089 ms 128364 KB Output is correct
117 Correct 1458 ms 99948 KB Output is correct
118 Correct 1341 ms 91372 KB Output is correct
119 Correct 1927 ms 128580 KB Output is correct
120 Correct 1388 ms 78852 KB Output is correct