oj.uz

Submission #642755

# Submission time Handle Problem Language Result Execution time Memory
642755 2022-09-20T12:49:22 Z MKutayBozkurt Graph (BOI20_graph) C++17
58 / 100
 700 ms 40248 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

const double epsilon = 1e-6;

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);
  vector<pair<pair<int, int>, int>> edges(m);
  for (int i = 0; i < m; i++) {
    int x, y, z; cin >> x >> y >> z, x--, y--;
    g[x].emplace_back(y, z);
    g[y].emplace_back(x, z);
  }
  vector<double> ans(n);
  vector<int> components_vis(n);

  auto solve = [&](int node) {
    vector<pair<int, int>> n_vals(n, make_pair(0, 0)); // (first * x + second) - node values
    vector<int> cycle_vis(n);
    bool cycle = false;
    vector<pair<pair<int, int>, int>> edges;
    set<int> nodes;
    function<void(int, int, int)> find_cycle = [&](int node, int parent, int color) {
      nodes.insert(node);
      if (cycle_vis[node]) {
        cycle = true;
        return;
      }
      cycle_vis[node] = 1;
      components_vis[node] = 1;
      for (auto next : g[node]) {
        edges.emplace_back(make_pair(node, next.first), next.second);
        if (parent == -1) n_vals[node] = make_pair(1, 0);
        else n_vals[node] = make_pair(-n_vals[parent].first, color - n_vals[parent].second);
        if (next.first != parent) find_cycle(next.first, node, next.second);
      }
    };
    find_cycle(node, -1, -1);
    double x;
    if ((int) edges.size() == 0) return;
    bool flag = false;
    for (auto [p, color] : edges) {
      auto a = n_vals[p.first];
      auto b = n_vals[p.second];
      pair<int, int> should = make_pair(-a.first, color - a.second);
      if (b == should) continue;
      pair<int, int> sum = make_pair(b.first + a.first, color - (b.second + a.second));
      if (sum.first == 0) {
        cout << "NO\n";
        exit(0);
      }
      x = (double) sum.second / sum.first;
      flag = true;
    }
    debug(flag, cycle, x);
    if (flag == false or cycle == false) {
      int N = 100;
      vector<double> s(2 * N + 1);
      for (int i : nodes) {
        for (int j = -N; j < N; j++) {
          s[j + N] += abs(n_vals[i].first * j + n_vals[i].second);
        }
      }
      int mn = 1e9;
      for (int j = -N; j < N; j++) {
        if (s[j + N] < mn) {
          x = j;
          mn = s[j + N];
        }
      }
      for (int i : nodes) {
        ans[i] = n_vals[i].first * x + n_vals[i].second;
      }
      return;
    }
    for (auto [p, color] : edges) {
      auto a = n_vals[p.first];
      auto b = n_vals[p.second];
      double sum = a.first * x + a.second + b.first * x + b.second;
      if (abs(sum - color) > epsilon) {
        cout << "NO\n";
        exit(0);
      }
    }
    for (int i : nodes) {
      ans[i] = n_vals[i].first * x + n_vals[i].second;
    }
    debug(ans);
  };

  for (int i = 0; i < n; i++) {
    if (components_vis[i]) continue;
    solve(i);
  }
  cout << "YES\n";
  for (auto x : ans) cout << fixed << setprecision(6) << x << " ";
  cout << '\n';
  double top = 0;
  for (auto x : ans) top += abs(x);
  debug(ans.size());
  debug(top);
}

Compilation message

Graph.cpp: In function 'int32_t main()':
Graph.cpp:84:34: warning: 'x' may be used uninitialized in this function [-Wmaybe-uninitialized]
   84 |         ans[i] = n_vals[i].first * x + n_vals[i].second;

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB answer = YES
2 Correct 1 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 0 ms 212 KB answer = YES
6 Correct 0 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 1 ms 212 KB answer = NO
10 Correct 0 ms 212 KB answer = YES
11 Correct 1 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 1 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 1 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 0 ms 212 KB answer = YES
6 Correct 0 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 1 ms 212 KB answer = NO
10 Correct 0 ms 212 KB answer = YES
11 Correct 1 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 1 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 0 ms 212 KB answer = YES
25 Correct 1 ms 212 KB answer = YES
26 Correct 0 ms 212 KB answer = YES
27 Correct 0 ms 212 KB answer = YES
28 Correct 0 ms 212 KB answer = YES
29 Correct 1 ms 340 KB answer = YES
30 Correct 1 ms 212 KB answer = NO
31 Correct 1 ms 212 KB answer = YES
32 Correct 0 ms 212 KB answer = YES
33 Correct 0 ms 212 KB answer = YES
34 Correct 1 ms 340 KB answer = YES
35 Correct 0 ms 212 KB answer = YES
36 Correct 0 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 1 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 0 ms 212 KB answer = YES
6 Correct 0 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 1 ms 212 KB answer = NO
10 Correct 0 ms 212 KB answer = YES
11 Correct 1 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 1 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 0 ms 212 KB answer = YES
25 Correct 1 ms 212 KB answer = YES
26 Correct 0 ms 212 KB answer = YES
27 Correct 0 ms 212 KB answer = YES
28 Correct 0 ms 212 KB answer = YES
29 Correct 1 ms 340 KB answer = YES
30 Correct 1 ms 212 KB answer = NO
31 Correct 1 ms 212 KB answer = YES
32 Correct 0 ms 212 KB answer = YES
33 Correct 0 ms 212 KB answer = YES
34 Correct 1 ms 340 KB answer = YES
35 Correct 0 ms 212 KB answer = YES
36 Correct 0 ms 212 KB answer = YES
37 Correct 1 ms 340 KB answer = YES
38 Correct 1 ms 340 KB answer = YES
39 Correct 2 ms 416 KB answer = YES
40 Correct 1 ms 468 KB answer = YES
41 Correct 1 ms 468 KB answer = NO
42 Correct 2 ms 468 KB answer = YES
43 Correct 1 ms 340 KB answer = YES
44 Correct 2 ms 340 KB answer = YES
45 Correct 1 ms 468 KB answer = YES
46 Correct 1 ms 340 KB answer = YES
47 Correct 1 ms 468 KB answer = YES
48 Correct 1 ms 468 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 1 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 0 ms 212 KB answer = YES
6 Correct 0 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 1 ms 212 KB answer = NO
10 Correct 0 ms 212 KB answer = YES
11 Correct 1 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 1 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 0 ms 212 KB answer = YES
25 Correct 1 ms 212 KB answer = YES
26 Correct 0 ms 212 KB answer = YES
27 Correct 0 ms 212 KB answer = YES
28 Correct 0 ms 212 KB answer = YES
29 Correct 1 ms 340 KB answer = YES
30 Correct 1 ms 212 KB answer = NO
31 Correct 1 ms 212 KB answer = YES
32 Correct 0 ms 212 KB answer = YES
33 Correct 0 ms 212 KB answer = YES
34 Correct 1 ms 340 KB answer = YES
35 Correct 0 ms 212 KB answer = YES
36 Correct 0 ms 212 KB answer = YES
37 Correct 1 ms 340 KB answer = YES
38 Correct 1 ms 340 KB answer = YES
39 Correct 2 ms 416 KB answer = YES
40 Correct 1 ms 468 KB answer = YES
41 Correct 1 ms 468 KB answer = NO
42 Correct 2 ms 468 KB answer = YES
43 Correct 1 ms 340 KB answer = YES
44 Correct 2 ms 340 KB answer = YES
45 Correct 1 ms 468 KB answer = YES
46 Correct 1 ms 340 KB answer = YES
47 Correct 1 ms 468 KB answer = YES
48 Correct 1 ms 468 KB answer = YES
49 Correct 20 ms 2068 KB answer = YES
50 Correct 11 ms 2704 KB answer = YES
51 Correct 13 ms 2900 KB answer = YES
52 Correct 6 ms 2900 KB answer = NO
53 Correct 2 ms 468 KB answer = YES
54 Correct 4 ms 724 KB answer = YES
55 Correct 6 ms 1116 KB answer = YES
56 Correct 12 ms 2004 KB answer = YES
57 Correct 20 ms 1496 KB answer = YES
58 Correct 11 ms 1496 KB answer = YES
59 Correct 10 ms 1580 KB answer = YES
60 Correct 12 ms 1624 KB answer = YES
61 Correct 6 ms 1116 KB answer = YES
62 Correct 101 ms 15112 KB answer = NO
63 Correct 107 ms 15156 KB answer = YES
64 Correct 102 ms 15168 KB answer = NO
65 Correct 130 ms 15156 KB answer = YES
66 Correct 3 ms 596 KB answer = YES

Subtask #5
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB answer = YES
2 Correct 1 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 0 ms 212 KB answer = YES
6 Correct 0 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 1 ms 212 KB answer = NO
10 Correct 0 ms 212 KB answer = YES
11 Correct 1 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 1 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 0 ms 212 KB answer = YES
25 Correct 1 ms 212 KB answer = YES
26 Correct 0 ms 212 KB answer = YES
27 Correct 0 ms 212 KB answer = YES
28 Correct 0 ms 212 KB answer = YES
29 Correct 1 ms 340 KB answer = YES
30 Correct 1 ms 212 KB answer = NO
31 Correct 1 ms 212 KB answer = YES
32 Correct 0 ms 212 KB answer = YES
33 Correct 0 ms 212 KB answer = YES
34 Correct 1 ms 340 KB answer = YES
35 Correct 0 ms 212 KB answer = YES
36 Correct 0 ms 212 KB answer = YES
37 Correct 1 ms 340 KB answer = YES
38 Correct 1 ms 340 KB answer = YES
39 Correct 2 ms 416 KB answer = YES
40 Correct 1 ms 468 KB answer = YES
41 Correct 1 ms 468 KB answer = NO
42 Correct 2 ms 468 KB answer = YES
43 Correct 1 ms 340 KB answer = YES
44 Correct 2 ms 340 KB answer = YES
45 Correct 1 ms 468 KB answer = YES
46 Correct 1 ms 340 KB answer = YES
47 Correct 1 ms 468 KB answer = YES
48 Correct 1 ms 468 KB answer = YES
49 Correct 20 ms 2068 KB answer = YES
50 Correct 11 ms 2704 KB answer = YES
51 Correct 13 ms 2900 KB answer = YES
52 Correct 6 ms 2900 KB answer = NO
53 Correct 2 ms 468 KB answer = YES
54 Correct 4 ms 724 KB answer = YES
55 Correct 6 ms 1116 KB answer = YES
56 Correct 12 ms 2004 KB answer = YES
57 Correct 20 ms 1496 KB answer = YES
58 Correct 11 ms 1496 KB answer = YES
59 Correct 10 ms 1580 KB answer = YES
60 Correct 12 ms 1624 KB answer = YES
61 Correct 6 ms 1116 KB answer = YES
62 Correct 101 ms 15112 KB answer = NO
63 Correct 107 ms 15156 KB answer = YES
64 Correct 102 ms 15168 KB answer = NO
65 Correct 130 ms 15156 KB answer = YES
66 Correct 3 ms 596 KB answer = YES
67 Correct 132 ms 32000 KB answer = YES
68 Correct 126 ms 31996 KB answer = YES
69 Correct 106 ms 31916 KB answer = YES
70 Correct 152 ms 40248 KB answer = YES
71 Correct 108 ms 31944 KB answer = YES
72 Correct 152 ms 16888 KB answer = YES
73 Correct 125 ms 16892 KB answer = YES
74 Correct 86 ms 18688 KB answer = YES
75 Correct 46 ms 18724 KB answer = NO
76 Correct 15 ms 2320 KB answer = YES
77 Correct 31 ms 4364 KB answer = YES
78 Correct 56 ms 7508 KB answer = YES
79 Correct 121 ms 14564 KB answer = YES
80 Correct 96 ms 18688 KB answer = YES
81 Correct 74 ms 24440 KB answer = NO
82 Correct 139 ms 31032 KB answer = YES
83 Correct 158 ms 31928 KB answer = YES
84 Correct 170 ms 32024 KB answer = YES
85 Correct 129 ms 31980 KB answer = YES
86 Correct 106 ms 31996 KB answer = YES
87 Correct 52 ms 15804 KB answer = NO
88 Correct 146 ms 19368 KB answer = YES
89 Execution timed out 1081 ms 9292 KB Time limit exceeded
90 Halted 0 ms 0 KB -