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Submission #995738

# Submission time Handle Problem Language Result Execution time Memory
995738 2024-06-09T20:38:56 Z MilosMilutinovic Pipes (BOI13_pipes) C++14
74.0741 / 100
 98 ms 19652 KB 
#include <bits/stdc++.h>

using namespace std;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, m;
  cin >> n >> m;
  vector<long long> a(n);
  for (int i = 0; i < n; i++) {
    cin >> a[i];
  }
  vector<vector<array<int, 2>>> g(n);
  for (int i = 0; i < m; i++) {
    int x, y;
    cin >> x >> y;
    --x; --y;
    g[x].push_back({y, i});
    g[y].push_back({x, i});
  }
  if (m > n) {
    cout << 0 << '\n';
    return 0;
  }
  if (n == 1) {
    cout << 2 * a[0] << '\n';
    return 0;
  }
  if (m < n) {
    vector<long long> res(m);
    function<void(int, int)> Dfs = [&](int v, int pv) {
      for (auto& e : g[v]) {
        int u = e[0];
        if (u == pv) {
          continue;
        }
        Dfs(u, v);
        if (a[u] != 0) {
          res[e[1]] = 2 * a[u];
          a[v] -= a[u];
        }
      }
    };
    Dfs(0, 0);
    if (a[0] != 0) {
      cout << 0 << '\n';
      return 0;
    }
    for (int i = 0; i < m; i++) {
      cout << res[i] << '\n';
    }
    return 0;
  }
  vector<int> deg(n);
  for (int i = 0; i < n; i++) {
    deg[i] = (int) g[i].size();
  }
  vector<int> que;
  for (int i = 0; i < n; i++) {
    if (deg[i] == 1) {
      que.push_back(i);
    }
  }
  auto orig = a;
  vector<long long> res(m);
  for (int b = 0; b < (int) que.size(); b++) {
    int i = que[b];
    for (auto& e : g[i]) {
      int j = e[0];
      deg[j] -= 1;
      if (deg[j] == 1) {
        que.push_back(j);
        res[e[1]] = 2 * a[i];
        a[j] -= a[i];
      }
    }
  }
  vector<int> cyc;
  for (int i = 0; i < n; i++) {
    if (deg[i] > 1) {
      cyc.push_back(i);
    }
  }
  if ((int) cyc.size() % 2 == 0) {
    cout << 0 << '\n';
    return 0;
  }
  vector<bool> was(n);
  vector<long long> vals;
  vector<int> ids;
  function<void(int)> Dfs = [&](int v) {
    was[v] = true;
    vals.push_back(a[v]);
    int back = -1;
    bool found = false;
    for (auto& e : g[v]) {
      int u = e[0];
      int i = e[1];
      if (u == cyc[0]) {
        back = i;
      }
      if (was[u] || deg[u] <= 1) {
        continue;
      }
      found = true;
      ids.push_back(i);
      Dfs(u);
    }
    if (!found) {
      ids.push_back(back);
    }
  }; 
  Dfs(cyc[0]);
  long long total = 0;
  for (int i = 0; i < (int) vals.size(); i++) {
    total = vals[i] - total;
  }
  if (ids.empty()) {
    while (true) {
      
    }
  }
  res[ids.back()] = 2 * total;
  for (int i = 0; i < n; i++) {
    for (auto& p : g[i]) {
      if (p[2] == ids.back()) {
        a[i] -= total;
      }
    }
  }
  was = vector<bool>(n, false);
  Dfs = [&](int v) {
    was[v] = true;
    for (auto& p : g[v]) {
      int u = p[0];
      int i = p[1];
      if (deg[u] <= 1 || was[u]) {
        continue;
      }
      Dfs(u);
      res[i] = 2 * a[u];
      a[v] -= a[u];
    }
  };
  Dfs(cyc.back());
  if (a != vector<long long>(n, 0LL)) {
    cout << 0 << '\n';
    return 0;
  }
  for (int i = 0; i < m; i++) {
    cout << res[i] << '\n';
  }
  return 0;
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 38 ms 8376 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 28 ms 6820 KB Output is correct
14 Correct 31 ms 8028 KB Output is correct
15 Correct 33 ms 8340 KB Output is correct
16 Correct 37 ms 7252 KB Output is correct
17 Correct 37 ms 8276 KB Output is correct
18 Correct 35 ms 8528 KB Output is correct
19 Correct 36 ms 12372 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 31 ms 8472 KB Output is correct
23 Correct 29 ms 6700 KB Output is correct
24 Correct 40 ms 8528 KB Output is correct
25 Correct 28 ms 6992 KB Output is correct

Subtask #2
44.0740740741 / 70.0

# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 344 KB Output isn't correct
2 Incorrect 0 ms 604 KB Output isn't correct
3 Correct 25 ms 9160 KB Output is correct
4 Correct 24 ms 6820 KB Output is correct
5 Correct 24 ms 7004 KB Output is correct
6 Correct 89 ms 17172 KB Output is correct
7 Incorrect 1 ms 344 KB Output isn't correct
8 Incorrect 0 ms 348 KB Output isn't correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Incorrect 0 ms 348 KB Output isn't correct
15 Incorrect 0 ms 604 KB Output isn't correct
16 Incorrect 1 ms 348 KB Output isn't correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Incorrect 0 ms 348 KB Output isn't correct
23 Incorrect 36 ms 14024 KB Output isn't correct
24 Incorrect 41 ms 15952 KB Output isn't correct
25 Correct 30 ms 9048 KB Output is correct
26 Correct 25 ms 6780 KB Output is correct
27 Correct 25 ms 6484 KB Output is correct
28 Correct 26 ms 7004 KB Output is correct
29 Correct 84 ms 14776 KB Output is correct
30 Incorrect 49 ms 14524 KB Output isn't correct
31 Incorrect 41 ms 19652 KB Output isn't correct
32 Incorrect 33 ms 12240 KB Output isn't correct
33 Correct 26 ms 9428 KB Output is correct
34 Correct 23 ms 6708 KB Output is correct
35 Correct 23 ms 6740 KB Output is correct
36 Correct 24 ms 6996 KB Output is correct
37 Correct 98 ms 17236 KB Output is correct
38 Incorrect 36 ms 14924 KB Output isn't correct
39 Incorrect 35 ms 11468 KB Output isn't correct
40 Incorrect 35 ms 15424 KB Output isn't correct
41 Correct 25 ms 9432 KB Output is correct
42 Correct 37 ms 6492 KB Output is correct
43 Correct 25 ms 6704 KB Output is correct
44 Correct 23 ms 6984 KB Output is correct
45 Correct 75 ms 14420 KB Output is correct
46 Incorrect 39 ms 14412 KB Output isn't correct
47 Incorrect 36 ms 15432 KB Output isn't correct
48 Incorrect 46 ms 19144 KB Output isn't correct
49 Correct 29 ms 9300 KB Output is correct
50 Correct 23 ms 6864 KB Output is correct
51 Correct 23 ms 7048 KB Output is correct
52 Correct 25 ms 6736 KB Output is correct
53 Correct 83 ms 14420 KB Output is correct
54 Incorrect 35 ms 13900 KB Output isn't correct