답안 #995744

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
995744 2024-06-09T20:54:45 Z MilosMilutinovic Pipes (BOI13_pipes) C++14
74.0741 / 100
105 ms 19660 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 (total % 2 == 1) {
    cout << 0 << '\n';
    return 0;
  }
  total /= 2;
  res[ids.back()] = 2 * total;
  for (int i = 0; i < n; i++) {
    for (auto& p : g[i]) {
      if (p[1] == 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] || i == ids.back()) {
        continue;
      }
      Dfs(u);
      res[i] = 2 * a[u];
      a[v] -= a[u];
      a[u] = 0;
    }
  };
  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;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 34 ms 8300 KB Output is correct
5 Correct 1 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 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 30 ms 6744 KB Output is correct
14 Correct 31 ms 7972 KB Output is correct
15 Correct 34 ms 8480 KB Output is correct
16 Correct 27 ms 7260 KB Output is correct
17 Correct 33 ms 8372 KB Output is correct
18 Correct 36 ms 8532 KB Output is correct
19 Correct 36 ms 12632 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 43 ms 8356 KB Output is correct
23 Correct 26 ms 6776 KB Output is correct
24 Correct 34 ms 8536 KB Output is correct
25 Correct 29 ms 7092 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Incorrect 0 ms 348 KB Output isn't correct
2 Incorrect 0 ms 604 KB Output isn't correct
3 Correct 35 ms 9040 KB Output is correct
4 Correct 25 ms 6748 KB Output is correct
5 Correct 23 ms 6988 KB Output is correct
6 Correct 104 ms 17296 KB Output is correct
7 Incorrect 0 ms 348 KB Output isn't correct
8 Incorrect 0 ms 348 KB Output isn't correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 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 1 ms 600 KB Output isn't correct
16 Incorrect 1 ms 344 KB Output isn't correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Incorrect 1 ms 348 KB Output isn't correct
23 Incorrect 29 ms 13192 KB Output isn't correct
24 Incorrect 35 ms 15184 KB Output isn't correct
25 Correct 27 ms 9048 KB Output is correct
26 Correct 24 ms 6884 KB Output is correct
27 Correct 22 ms 6748 KB Output is correct
28 Correct 24 ms 7088 KB Output is correct
29 Correct 78 ms 14672 KB Output is correct
30 Incorrect 36 ms 14668 KB Output isn't correct
31 Incorrect 45 ms 19660 KB Output isn't correct
32 Incorrect 32 ms 12232 KB Output isn't correct
33 Correct 26 ms 9432 KB Output is correct
34 Correct 24 ms 6772 KB Output is correct
35 Correct 24 ms 6748 KB Output is correct
36 Correct 28 ms 7104 KB Output is correct
37 Correct 105 ms 17236 KB Output is correct
38 Incorrect 40 ms 14960 KB Output isn't correct
39 Incorrect 41 ms 11468 KB Output isn't correct
40 Incorrect 33 ms 14536 KB Output isn't correct
41 Correct 30 ms 9420 KB Output is correct
42 Correct 24 ms 6556 KB Output is correct
43 Correct 26 ms 6488 KB Output is correct
44 Correct 28 ms 6988 KB Output is correct
45 Correct 81 ms 14416 KB Output is correct
46 Incorrect 36 ms 14420 KB Output isn't correct
47 Incorrect 36 ms 14676 KB Output isn't correct
48 Incorrect 41 ms 19292 KB Output isn't correct
49 Correct 26 ms 9176 KB Output is correct
50 Correct 23 ms 6748 KB Output is correct
51 Correct 27 ms 6944 KB Output is correct
52 Correct 24 ms 6736 KB Output is correct
53 Correct 92 ms 14488 KB Output is correct
54 Incorrect 35 ms 14164 KB Output isn't correct