oj.uz

Submission #802921

# Submission time Handle Problem Language Result Execution time Memory
802921 2023-08-02T15:51:29 Z tch1cherin Pipes (BOI13_pipes) C++17
100 / 100
 49 ms 8596 KB 
#include <bits/stdc++.h>
using namespace std;

int main() {
  cin.tie(nullptr)->sync_with_stdio(false);
  int N, M;
  cin >> N >> M;
  if (M > N) {
    cout << 0 << "\n";
    exit(0);
  }
  vector<int64_t> c(N);
  for (auto &v : c) {
    cin >> v;
  }
  vector<vector<pair<int, int>>> G(N);
  vector<int> d(N);
  for (int i = 0; i < M; i++) {
    int u, v;
    cin >> u >> v;
    u--, v--;
    d[u]++, d[v]++;
    G[u].push_back({v, i});
    G[v].push_back({u, i});
  }
  vector<int> x(M);
  queue<int> q;
  for (int i = 0; i < N; i++) {
    if (d[i] == 1) {
      q.push(i);
    }
  }
  vector<bool> used(N);
  while (!q.empty()) {
    int u = q.front();
    q.pop();
    used[u] = true;
    for (auto [v, i] : G[u]) {
      if (!used[v]) {
        x[i] = c[u];
        c[v] -= c[u];
        d[v]--;
        if (d[v] == 1) {
          q.push(v);
        }
      }
    }
  }
  if (count(used.begin(), used.end(), false) % 2 == 0 && N == M) {
    cout << "0\n";
    exit(0);
  }
  if (N == M) {
    vector<int> cycle, cycle_edges;
    for (int i = 0; i < N; i++) {
      if (!used[i]) {
        int j = i, last = -1;
        while (j != i || last == -1) {
          cycle.push_back(j);
          for (auto [v, i] : G[j]) {
            if (v != last && !used[v]) {
              cycle_edges.push_back(i);
              last = j;
              j = v;
              break;
            }
          }
        }
        break;
      }
    }
    while (cycle.empty());
    while (cycle.size() != cycle_edges.size());
    int k = (int)cycle.size();
    int64_t sum = 0;
    for (int i = 0; i < k; i++) {
      sum += c[cycle[i]] * (i % 2 ? -1 : 1);
    }
    sum /= 2;
    x[cycle_edges.back()] = sum;
    int64_t last = sum;
    for (int i = 0; i < k - 1; i++) {
      x[cycle_edges[i]] = c[cycle[i]] - last;
      last = x[cycle_edges[i]];
    }
  }
  for (int i = 0; i < M; i++) {
    cout << x[i] * 2 << "\n"; 
  }
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 36 ms 8544 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 29 ms 6888 KB Output is correct
14 Correct 36 ms 8132 KB Output is correct
15 Correct 37 ms 8596 KB Output is correct
16 Correct 31 ms 7372 KB Output is correct
17 Correct 37 ms 8556 KB Output is correct
18 Correct 37 ms 8532 KB Output is correct
19 Correct 45 ms 7840 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 38 ms 8536 KB Output is correct
23 Correct 29 ms 6828 KB Output is correct
24 Correct 49 ms 8524 KB Output is correct
25 Correct 30 ms 7140 KB Output is correct

Subtask #2
70.0 / 70.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 28 ms 7476 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 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 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 30 ms 6848 KB Output is correct
24 Correct 37 ms 8252 KB Output is correct
25 Correct 27 ms 7500 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 36 ms 7768 KB Output is correct
31 Correct 37 ms 8392 KB Output is correct
32 Correct 38 ms 8560 KB Output is correct
33 Correct 33 ms 7676 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 37 ms 8108 KB Output is correct
39 Correct 36 ms 8508 KB Output is correct
40 Correct 37 ms 8420 KB Output is correct
41 Correct 26 ms 7400 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 37 ms 7944 KB Output is correct
47 Correct 38 ms 8340 KB Output is correct
48 Correct 37 ms 8396 KB Output is correct
49 Correct 27 ms 7636 KB Output is correct
50 Correct 0 ms 212 KB Output is correct
51 Correct 0 ms 212 KB Output is correct
52 Correct 0 ms 212 KB Output is correct
53 Correct 0 ms 212 KB Output is correct
54 Correct 38 ms 8020 KB Output is correct