oj.uz

Submission #642852

# Submission time Handle Problem Language Result Execution time Memory
642852 2022-09-20T15:56:42 Z MKutayBozkurt Graph (BOI20_graph) C++17
100 / 100
 142 ms 17264 KB 
/**
*  author: kututay
*  created: 20.09.2022 13:13:02
**/
#include <bits/stdc++.h>
using namespace std;

#ifdef DEBUG
  #include "/Users/kutay/CP/templates/debug.h"
#else
  #define debug(...) void(38)
#endif

int32_t main() {
  ios_base::sync_with_stdio(0); cin.tie(0);
  int n, m; cin >> n >> m;
  vector<vector<pair<int, int>>> g(n);
  for (int i = 0; i < m; i++) {
    int x, y, z; cin >> x >> y >> z, x--, y--;
    g[x].emplace_back(y, z * 2);
    g[y].emplace_back(x, z * 2);
  }
  vector<pair<int, int>> k(n);
  vector<int> vis(n);
  vector<int> ans(n);
  for (int i = 0; i < n; i++) {
    if (vis[i]) continue;
    vector<int> nodes;
    int x = 0;
    bool flag = false;
    function<void(int)> dfs = [&](int node) {
      if (vis[node]) return;
      vis[node] = 1;
      nodes.emplace_back(node);
      for (auto [v, w] : g[node]) {
        if (!vis[v]) {
          k[v].first = -k[node].first;
          k[v].second = w - k[node].second;
          dfs(v);
        } else if (flag) {
          if (k[node].first * x + k[node].second + k[v].first * x + k[v].second != w) {
            cout << "NO\n";
            exit(0);
          }
        } else {
          if (-k[node].first == k[v].first) {
            if (w - k[node].second == k[v].second) continue;
            else {
              cout << "NO\n";
              exit(0);
            }
          }
          flag = true;
          x = (w - k[node].second - k[v].second) / (k[node].first + k[v].first);
        }
      }
    };
    k[i] = {1, 0};
    dfs(i);
    if (flag == false) {
      vector<int> p;
      for (int v : nodes) {
        p.emplace_back(-k[v].first * k[v].second);
      }
      sort(p.begin(), p.end());
      x = p[(int) p.size() / 2];
    }
    for (int v : nodes) {
      ans[v] = k[v].first * x + k[v].second;
    }
  }
  cout << "YES\n";
  for (int x : ans) {
    cout << x / 2.0 << " ";
  }
  cout << '\n';
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB answer = YES
2 Correct 0 ms 212 KB answer = YES
3 Correct 0 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Correct 1 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 0 ms 212 KB answer = NO
10 Correct 0 ms 212 KB answer = YES
11 Correct 0 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 0 ms 212 KB answer = YES
14 Correct 0 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 0 ms 212 KB answer = YES
17 Correct 0 ms 212 KB answer = YES
18 Correct 0 ms 212 KB answer = YES
19 Correct 0 ms 212 KB answer = YES
20 Correct 0 ms 212 KB answer = YES
21 Correct 0 ms 212 KB answer = YES
22 Correct 0 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB answer = YES
2 Correct 0 ms 212 KB answer = YES
3 Correct 0 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Correct 1 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 0 ms 212 KB answer = NO
10 Correct 0 ms 212 KB answer = YES
11 Correct 0 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 0 ms 212 KB answer = YES
14 Correct 0 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 0 ms 212 KB answer = YES
17 Correct 0 ms 212 KB answer = YES
18 Correct 0 ms 212 KB answer = YES
19 Correct 0 ms 212 KB answer = YES
20 Correct 0 ms 212 KB answer = YES
21 Correct 0 ms 212 KB answer = YES
22 Correct 0 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 0 ms 212 KB answer = YES
25 Correct 0 ms 212 KB answer = YES
26 Correct 0 ms 212 KB answer = YES
27 Correct 1 ms 212 KB answer = YES
28 Correct 0 ms 212 KB answer = YES
29 Correct 1 ms 212 KB answer = YES
30 Correct 1 ms 212 KB answer = NO
31 Correct 0 ms 212 KB answer = YES
32 Correct 0 ms 212 KB answer = YES
33 Correct 1 ms 212 KB answer = YES
34 Correct 0 ms 212 KB answer = YES
35 Correct 0 ms 212 KB answer = YES
36 Correct 1 ms 212 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB answer = YES
2 Correct 0 ms 212 KB answer = YES
3 Correct 0 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Correct 1 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 0 ms 212 KB answer = NO
10 Correct 0 ms 212 KB answer = YES
11 Correct 0 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 0 ms 212 KB answer = YES
14 Correct 0 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 0 ms 212 KB answer = YES
17 Correct 0 ms 212 KB answer = YES
18 Correct 0 ms 212 KB answer = YES
19 Correct 0 ms 212 KB answer = YES
20 Correct 0 ms 212 KB answer = YES
21 Correct 0 ms 212 KB answer = YES
22 Correct 0 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 0 ms 212 KB answer = YES
25 Correct 0 ms 212 KB answer = YES
26 Correct 0 ms 212 KB answer = YES
27 Correct 1 ms 212 KB answer = YES
28 Correct 0 ms 212 KB answer = YES
29 Correct 1 ms 212 KB answer = YES
30 Correct 1 ms 212 KB answer = NO
31 Correct 0 ms 212 KB answer = YES
32 Correct 0 ms 212 KB answer = YES
33 Correct 1 ms 212 KB answer = YES
34 Correct 0 ms 212 KB answer = YES
35 Correct 0 ms 212 KB answer = YES
36 Correct 1 ms 212 KB answer = YES
37 Correct 1 ms 212 KB answer = YES
38 Correct 1 ms 212 KB answer = YES
39 Correct 1 ms 340 KB answer = YES
40 Correct 1 ms 340 KB answer = YES
41 Correct 1 ms 340 KB answer = NO
42 Correct 1 ms 340 KB answer = YES
43 Correct 1 ms 340 KB answer = YES
44 Correct 1 ms 340 KB answer = YES
45 Correct 1 ms 384 KB answer = YES
46 Correct 1 ms 340 KB answer = YES
47 Correct 1 ms 340 KB answer = YES
48 Correct 1 ms 340 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB answer = YES
2 Correct 0 ms 212 KB answer = YES
3 Correct 0 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Correct 1 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 0 ms 212 KB answer = NO
10 Correct 0 ms 212 KB answer = YES
11 Correct 0 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 0 ms 212 KB answer = YES
14 Correct 0 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 0 ms 212 KB answer = YES
17 Correct 0 ms 212 KB answer = YES
18 Correct 0 ms 212 KB answer = YES
19 Correct 0 ms 212 KB answer = YES
20 Correct 0 ms 212 KB answer = YES
21 Correct 0 ms 212 KB answer = YES
22 Correct 0 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 0 ms 212 KB answer = YES
25 Correct 0 ms 212 KB answer = YES
26 Correct 0 ms 212 KB answer = YES
27 Correct 1 ms 212 KB answer = YES
28 Correct 0 ms 212 KB answer = YES
29 Correct 1 ms 212 KB answer = YES
30 Correct 1 ms 212 KB answer = NO
31 Correct 0 ms 212 KB answer = YES
32 Correct 0 ms 212 KB answer = YES
33 Correct 1 ms 212 KB answer = YES
34 Correct 0 ms 212 KB answer = YES
35 Correct 0 ms 212 KB answer = YES
36 Correct 1 ms 212 KB answer = YES
37 Correct 1 ms 212 KB answer = YES
38 Correct 1 ms 212 KB answer = YES
39 Correct 1 ms 340 KB answer = YES
40 Correct 1 ms 340 KB answer = YES
41 Correct 1 ms 340 KB answer = NO
42 Correct 1 ms 340 KB answer = YES
43 Correct 1 ms 340 KB answer = YES
44 Correct 1 ms 340 KB answer = YES
45 Correct 1 ms 384 KB answer = YES
46 Correct 1 ms 340 KB answer = YES
47 Correct 1 ms 340 KB answer = YES
48 Correct 1 ms 340 KB answer = YES
49 Correct 7 ms 1236 KB answer = YES
50 Correct 9 ms 1492 KB answer = YES
51 Correct 8 ms 1492 KB answer = YES
52 Correct 3 ms 980 KB answer = NO
53 Correct 1 ms 340 KB answer = YES
54 Correct 2 ms 468 KB answer = YES
55 Correct 4 ms 724 KB answer = YES
56 Correct 7 ms 1196 KB answer = YES
57 Correct 7 ms 1108 KB answer = YES
58 Correct 6 ms 1108 KB answer = YES
59 Correct 9 ms 1108 KB answer = YES
60 Correct 7 ms 1108 KB answer = YES
61 Correct 4 ms 724 KB answer = YES
62 Correct 42 ms 5196 KB answer = NO
63 Correct 48 ms 5740 KB answer = YES
64 Correct 43 ms 5808 KB answer = NO
65 Correct 58 ms 5808 KB answer = YES
66 Correct 2 ms 468 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB answer = YES
2 Correct 0 ms 212 KB answer = YES
3 Correct 0 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Correct 1 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 0 ms 212 KB answer = NO
10 Correct 0 ms 212 KB answer = YES
11 Correct 0 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 0 ms 212 KB answer = YES
14 Correct 0 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 0 ms 212 KB answer = YES
17 Correct 0 ms 212 KB answer = YES
18 Correct 0 ms 212 KB answer = YES
19 Correct 0 ms 212 KB answer = YES
20 Correct 0 ms 212 KB answer = YES
21 Correct 0 ms 212 KB answer = YES
22 Correct 0 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 0 ms 212 KB answer = YES
25 Correct 0 ms 212 KB answer = YES
26 Correct 0 ms 212 KB answer = YES
27 Correct 1 ms 212 KB answer = YES
28 Correct 0 ms 212 KB answer = YES
29 Correct 1 ms 212 KB answer = YES
30 Correct 1 ms 212 KB answer = NO
31 Correct 0 ms 212 KB answer = YES
32 Correct 0 ms 212 KB answer = YES
33 Correct 1 ms 212 KB answer = YES
34 Correct 0 ms 212 KB answer = YES
35 Correct 0 ms 212 KB answer = YES
36 Correct 1 ms 212 KB answer = YES
37 Correct 1 ms 212 KB answer = YES
38 Correct 1 ms 212 KB answer = YES
39 Correct 1 ms 340 KB answer = YES
40 Correct 1 ms 340 KB answer = YES
41 Correct 1 ms 340 KB answer = NO
42 Correct 1 ms 340 KB answer = YES
43 Correct 1 ms 340 KB answer = YES
44 Correct 1 ms 340 KB answer = YES
45 Correct 1 ms 384 KB answer = YES
46 Correct 1 ms 340 KB answer = YES
47 Correct 1 ms 340 KB answer = YES
48 Correct 1 ms 340 KB answer = YES
49 Correct 7 ms 1236 KB answer = YES
50 Correct 9 ms 1492 KB answer = YES
51 Correct 8 ms 1492 KB answer = YES
52 Correct 3 ms 980 KB answer = NO
53 Correct 1 ms 340 KB answer = YES
54 Correct 2 ms 468 KB answer = YES
55 Correct 4 ms 724 KB answer = YES
56 Correct 7 ms 1196 KB answer = YES
57 Correct 7 ms 1108 KB answer = YES
58 Correct 6 ms 1108 KB answer = YES
59 Correct 9 ms 1108 KB answer = YES
60 Correct 7 ms 1108 KB answer = YES
61 Correct 4 ms 724 KB answer = YES
62 Correct 42 ms 5196 KB answer = NO
63 Correct 48 ms 5740 KB answer = YES
64 Correct 43 ms 5808 KB answer = NO
65 Correct 58 ms 5808 KB answer = YES
66 Correct 2 ms 468 KB answer = YES
67 Correct 72 ms 14764 KB answer = YES
68 Correct 71 ms 14724 KB answer = YES
69 Correct 65 ms 14144 KB answer = YES
70 Correct 95 ms 17264 KB answer = YES
71 Correct 70 ms 14120 KB answer = YES
72 Correct 78 ms 9132 KB answer = YES
73 Correct 76 ms 8592 KB answer = YES
74 Correct 49 ms 8444 KB answer = YES
75 Correct 19 ms 6684 KB answer = NO
76 Correct 9 ms 1384 KB answer = YES
77 Correct 18 ms 2516 KB answer = YES
78 Correct 31 ms 4064 KB answer = YES
79 Correct 65 ms 7872 KB answer = YES
80 Correct 51 ms 8700 KB answer = YES
81 Correct 34 ms 11076 KB answer = NO
82 Correct 80 ms 13668 KB answer = YES
83 Correct 90 ms 14096 KB answer = YES
84 Correct 93 ms 14788 KB answer = YES
85 Correct 72 ms 14684 KB answer = YES
86 Correct 71 ms 14052 KB answer = YES
87 Correct 37 ms 9352 KB answer = NO
88 Correct 87 ms 10552 KB answer = YES
89 Correct 76 ms 7624 KB answer = YES
90 Correct 81 ms 7736 KB answer = YES
91 Correct 84 ms 7752 KB answer = YES
92 Correct 40 ms 4528 KB answer = YES
93 Correct 43 ms 4556 KB answer = YES
94 Correct 50 ms 14156 KB answer = NO
95 Correct 36 ms 7432 KB answer = NO
96 Correct 142 ms 14796 KB answer = YES
97 Correct 35 ms 14148 KB answer = NO