QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#207145#4606. 无限之环zlxFTH100 ✓370ms4624kbC++143.4kb2023-10-08 10:19:152023-10-08 10:19:15

Judging History

你现在查看的是最新测评结果

  • [2023-10-08 10:19:15]
  • 评测
  • 测评结果:100
  • 用时:370ms
  • 内存:4624kb
  • [2023-10-08 10:19:15]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

using i64 = long long;
struct MCMF {
  int n;
  struct Edge {
    int v;
    i64 w, c;
  };
  vector<Edge> e;
  vector<vector<int>> adj;
  vector<i64> dis, vis, pre, in;
  MCMF(int n = 0) : n(n), adj(n), vis(n), pre(n) {}
  void addEdge(int u, int v, i64 w, i64 c) {
    adj[u].push_back(e.size());
    e.push_back({v, w, c});
  }
  void add(int u, int v, i64 w, i64 c, int op = 0) {
    if (op) {
      swap(u, v);
    }
    addEdge(u, v, w, c);
    addEdge(v, u, 0, -c);
  }
  bool spfa(int s, int t) {
    dis.assign(n, 1e18);
    dis[s] = 0;
    in.assign(n, 0);
    in[s] = 1e18;
    queue<int> q;
    vis[s] = 1;
    q.push(s);
    while (!q.empty()) {
      int u = q.front();
      q.pop();
      vis[u] = 0;
      for (auto i : adj[u]) {
        auto [v, w, c] = e[i];
        if (dis[v] > dis[u] + c && w) {
          dis[v] = dis[u] + c;
          pre[v] = i;
          in[v] = min(in[u], w);
          if (!vis[v]) {
            vis[v] = 1;
            q.push(v);
          }
        }
      }
    }
    return in[t];
  }
  pair<i64, i64> work(int s, int t) {
    i64 flow = 0, cost = 0;
    while (spfa(s, t)) {
      flow += in[t];
      int u = t;
      while (u != s) {
        cost += in[t] * e[pre[u]].c;
        e[pre[u]].w -= in[t];
        e[pre[u] ^ 1].w += in[t];
        u = e[pre[u] ^ 1].v;
      }
    }
    return {flow, cost};
  }
};

int main() {
  cin.tie(0)->sync_with_stdio(0);
  vector<int> w(16);
  for (int s = 0; s < 16; s++) {
    w[s] = __builtin_popcount(s);
  }
  int n, m;
  cin >> n >> m;
  auto id = [&](int i, int j, int p) {
    return i * m + j + p * n * m;
  };
  int s = 4 * n * m, t = 4 * n * m + 1;
  MCMF mcmf(t + 1);
  i64 need = 0;
  vector<vector<int>> a(n, vector<int>(m));
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < m; j++) {
      cin >> a[i][j];
      int ct = 0, st = a[i][j], p = (i + j) & 1;
      need += (!p) * (ct = w[a[i][j]]);
      for (int k = 0; k < 4; k++) if (st >> k & 1) {
        if ((i + j) & 1) {
          mcmf.add(id(i, j, k), t, 1, 0);
        } else {
          mcmf.add(s, id(i, j, k), 1, 0);
        }
      }
      if (i) {
        mcmf.add(id(i, j, 0), id(i - 1, j, 2), 1, 0, p);
      }
      if (j) {
        mcmf.add(id(i, j, 3), id(i, j - 1, 1), 1, 0, p);
      }
      if (ct == 1) {
        for (int k = 0; k < 4; k++) if (st >> k & 1) {
          mcmf.add(id(i, j, k), id(i, j, (k + 1) % 4), 1, 1, p);
          mcmf.add(id(i, j, k), id(i, j, (k + 3) % 4), 1, 1, p);
          mcmf.add(id(i, j, k), id(i, j, (k + 2) % 4), 1, 2, p);
        }
      }
      if (ct == 2) {
        for (int k = 0, l = 1; k < 4; k++, (++l) %= 4) {
          if (st >> k & 1 && st >> l & 1) {
            mcmf.add(id(i, j, k), id(i, j, (k + 2) % 4), 1, 1, p);
            mcmf.add(id(i, j, l), id(i, j, (l + 2) % 4), 1, 1, p);
          }
        }
      }
      if (ct == 3) {
        for (int k = 0; k < 4; k++) if (!(st >> k & 1)) {
          mcmf.add(id(i, j, k), id(i, j, (k + 1) % 4), 1, 1, !p);
          mcmf.add(id(i, j, k), id(i, j, (k + 3) % 4), 1, 1, !p);
          mcmf.add(id(i, j, k), id(i, j, (k + 2) % 4), 1, 2, !p);
        }
      }
    }
  }
  auto [flow, cost] = mcmf.work(s, t);
  if (flow != need) {
    cout << -1 << "\n";
  } else {
    cout << cost << "\n";
  }
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 5
Accepted
time: 1ms
memory: 3864kb

input:

4 4
8 2 2 0
5 8 11 9
5 12 14 11
12 6 8 12

output:

17

result:

ok 1 number(s): "17"

Test #2:

score: 5
Accepted
time: 0ms
memory: 3644kb

input:

4 4
9 3 1 9
14 3 12 7
11 13 14 9
3 3 0 0

output:

16

result:

ok 1 number(s): "16"

Test #3:

score: 5
Accepted
time: 270ms
memory: 4588kb

input:

14 124
6 8 3 10 10 7 2 6 11 10 2 1 3 1 14 10 10 14 10 4 8 13 1 8 2 2 0 0 12 7 8 4 10 4 0 0 9 10 13 2 4 13 14 12 9 1 2 8 1 0 6 6 4 4 4 2 2 2 10 1 1 13 2 4 0 2 7 3 6 14 4 4 9 10 9 4 4 2 6 1 4 4 10 4 2 10 10 1 1 8 6 11 10 13 6 9 11 2 8 4 0 6 9 6 2 2 14 7 14 3 12 7 14 14 10 13 1 8 12 8 9 8 3 3
1 8 15 10...

output:

1272

result:

ok 1 number(s): "1272"

Test #4:

score: 5
Accepted
time: 180ms
memory: 4560kb

input:

13 113
0 1 11 12 2 3 11 11 14 4 1 6 8 0 1 1 8 8 8 1 0 0 0 12 12 0 1 8 0 0 2 6 9 11 1 0 8 3 0 9 4 4 0 2 6 13 12 4 9 6 6 4 0 0 12 7 1 3 4 0 0 0 2 3 8 2 0 0 6 10 14 2 6 11 4 2 0 9 13 10 7 9 2 12 10 12 0 3 3 2 0 0 2 4 0 0 6 10 14 6 3 11 14 10 4 4 3 10 9 2 14 4 0
3 10 12 9 15 15 7 5 4 2 14 12 6 8 8 9 3 6...

output:

1013

result:

ok 1 number(s): "1013"

Test #5:

score: 5
Accepted
time: 184ms
memory: 4452kb

input:

114 13
0 12 6 1 8 3 10 14 3 12 11 6 2
8 5 12 4 0 12 14 9 5 13 14 14 11
4 13 6 2 10 12 4 9 7 15 7 15 11
1 9 1 0 6 7 10 15 10 13 1 4 5
8 0 2 1 15 9 2 1 0 11 15 3 8
11 8 13 6 14 13 8 8 10 7 3 11 2
14 7 7 13 8 2 3 13 11 15 14 3 8
5 8 0 2 4 4 13 5 5 13 15 14 4
9 1 0 1 11 6 6 15 14 5 7 15 4
2 6 8 8 1 11 1...

output:

1100

result:

ok 1 number(s): "1100"

Test #6:

score: 5
Accepted
time: 164ms
memory: 4464kb

input:

103 14
0 0 4 8 9 11 9 6 2 4 2 0 9 8
1 1 5 11 14 12 14 11 0 5 11 10 15 9
5 6 11 5 9 10 11 15 12 4 4 0 1 5
11 10 15 13 5 1 10 15 14 1 4 6 9 5
14 13 15 6 12 10 14 15 7 1 1 13 13 5
5 13 15 4 2 10 3 5 0 2 9 10 15 12
3 15 14 3 4 2 0 7 6 5 13 13 13 3
1 11 4 12 4 9 10 12 8 5 8 6 10 7
4 12 3 10 14 15 7 14 10...

output:

1064

result:

ok 1 number(s): "1064"

Test #7:

score: 5
Accepted
time: 198ms
memory: 4420kb

input:

111 14
0 9 10 1 2 0 4 3 2 4 10 2 0 1
4 5 0 0 5 4 14 14 3 4 9 14 11 12
5 5 0 3 13 2 11 7 4 4 11 7 6 0
1 6 10 15 7 1 13 11 7 14 11 1 0 0
4 1 4 6 1 0 5 8 14 7 7 4 4 0
5 7 10 3 4 8 13 6 9 4 14 7 10 9
8 8 0 5 0 0 6 6 0 0 5 4 0 8
8 10 4 2 0 2 15 15 10 10 7 1 0 0
12 10 9 0 8 4 14 9 3 10 10 1 4 0
14 10 13 0...

output:

1143

result:

ok 1 number(s): "1143"

Test #8:

score: 5
Accepted
time: 141ms
memory: 4100kb

input:

13 100
0 0 9 12 3 1 1 7 8 0 9 12 8 2 3 1 0 3 12 0 8 6 2 1 12 6 0 9 9 6 10 13 2 12 7 12 4 9 10 4 8 8 6 10 3 0 4 12 10 7 6 9 11 13 13 10 6 6 3 1 6 4 8 12 14 12 8 2 1 11 2 0 2 7 8 0 9 12 1 8 2 0 12 8 0 2 6 1 14 10 14 14 2 2 12 10 12 4 1 1
0 0 5 5 2 1 6 11 0 9 11 12 8 1 11 15 14 15 15 2 4 12 8 9 11 15 8...

output:

971

result:

ok 1 number(s): "971"

Test #9:

score: 5
Accepted
time: 335ms
memory: 4452kb

input:

43 44
6 11 6 9 2 0 3 1 6 13 10 7 1 8 4 13 1 6 6 0 3 10 3 0 3 7 11 3 4 8 4 4 3 7 10 7 10 9 8 4 8 1 8 4
9 15 11 15 9 6 13 1 7 13 13 11 7 15 9 5 1 15 12 6 7 12 15 13 13 11 9 7 9 12 10 7 15 13 14 15 4 1 1 8 12 7 5 5
2 11 8 9 3 12 4 0 9 13 14 3 7 15 12 4 6 13 0 5 12 15 14 12 1 2 4 15 6 0 8 9 7 10 7 9 9 6...

output:

1351

result:

ok 1 number(s): "1351"

Test #10:

score: 5
Accepted
time: 343ms
memory: 4524kb

input:

44 44
1 8 0 0 2 8 1 0 0 9 10 12 0 12 11 3 8 14 4 3 11 2 0 2 4 1 9 8 12 9 9 1 0 12 9 2 10 10 10 10 3 0 1 8
1 0 0 4 11 12 2 1 0 1 9 15 2 14 15 15 10 11 3 13 15 1 0 0 0 0 11 14 11 13 15 10 7 15 15 14 10 10 10 4 4 0 9 9
14 1 6 15 7 5 2 9 10 1 5 13 2 9 15 12 1 1 7 7 7 9 4 14 10 9 1 12 7 14 14 13 14 15 11...

output:

1483

result:

ok 1 number(s): "1483"

Test #11:

score: 5
Accepted
time: 317ms
memory: 4604kb

input:

43 43
1 10 1 1 9 1 4 0 4 12 14 10 13 14 14 1 6 7 6 2 4 4 3 6 7 1 0 4 13 3 3 10 10 2 2 10 14 10 10 13 10 12 0
3 8 9 15 11 11 7 9 15 14 8 0 5 6 11 2 5 3 11 8 8 8 5 5 3 10 1 8 3 12 5 9 10 7 6 0 1 4 11 14 9 7 3
14 8 5 8 8 14 14 6 2 1 1 12 6 10 7 12 11 10 10 10 7 6 5 5 9 8 0 1 0 2 2 4 0 9 11 10 10 3 8 1 ...

output:

1330

result:

ok 1 number(s): "1330"

Test #12:

score: 5
Accepted
time: 286ms
memory: 4456kb

input:

42 42
8 14 13 10 14 6 0 0 2 12 10 8 8 6 6 1 0 0 1 3 1 10 10 10 10 13 9 1 10 12 6 7 14 8 8 2 7 2 4 0 9 1
2 11 11 8 14 3 2 3 11 8 2 1 5 14 15 15 10 10 3 6 8 12 10 2 12 14 15 10 13 15 13 2 5 6 7 1 3 12 1 12 14 0
0 11 15 10 15 10 15 15 13 7 7 6 11 15 15 7 1 2 12 10 9 6 9 0 7 7 14 4 11 14 9 1 6 7 10 8 4 ...

output:

1281

result:

ok 1 number(s): "1281"

Test #13:

score: 5
Accepted
time: 348ms
memory: 4624kb

input:

43 43
4 1 0 2 0 0 3 10 7 13 4 6 10 10 9 4 7 1 0 4 11 4 12 9 8 0 3 10 4 1 14 14 4 0 0 3 10 4 1 8 1 2 1
0 8 0 7 9 3 15 8 9 15 10 15 12 6 3 4 13 8 4 6 13 10 14 1 11 3 9 10 6 8 4 9 10 10 10 13 1 1 6 4 3 11 5
8 14 2 14 11 14 11 0 8 8 8 6 9 15 14 1 5 3 11 7 3 8 15 10 11 11 9 2 15 6 0 1 6 8 13 13 14 5 0 1 ...

output:

1368

result:

ok 1 number(s): "1368"

Test #14:

score: 5
Accepted
time: 335ms
memory: 4492kb

input:

42 44
4 12 6 2 2 1 6 10 14 7 4 2 1 0 1 14 10 1 3 9 8 8 4 0 2 4 9 2 4 8 3 0 4 8 10 13 8 9 2 9 8 0 4 1
2 3 11 4 5 5 8 2 11 15 6 9 13 8 2 7 8 0 2 5 3 13 10 14 10 4 11 13 12 0 5 12 6 0 12 6 9 14 2 4 0 9 11 4
0 0 5 2 6 5 6 12 12 7 5 1 3 2 0 3 14 0 8 13 2 9 9 2 9 4 5 13 11 4 1 14 9 3 6 3 14 3 7 14 8 5 3 1...

output:

1432

result:

ok 1 number(s): "1432"

Test #15:

score: 5
Accepted
time: 321ms
memory: 4544kb

input:

43 42
0 6 3 2 3 8 0 4 9 6 9 8 9 8 3 9 8 0 1 2 10 11 6 2 13 10 9 0 9 10 9 4 10 10 2 4 3 3 10 2 4 6
4 11 7 11 7 8 0 0 13 11 12 6 9 12 14 11 5 12 7 8 1 5 5 6 14 10 14 0 5 9 7 8 10 10 1 0 11 15 2 0 0 2
1 11 10 11 13 14 6 7 3 14 3 8 0 3 12 6 7 5 3 14 13 5 14 12 4 0 1 6 12 12 15 7 12 2 1 4 13 7 13 7 3 0
8...

output:

1357

result:

ok 1 number(s): "1357"

Test #16:

score: 5
Accepted
time: 370ms
memory: 4496kb

input:

44 43
8 11 10 13 10 10 13 10 10 7 8 0 6 2 12 10 10 2 9 4 9 10 1 1 8 14 11 8 8 1 6 8 8 1 3 3 4 3 10 10 14 6 2
0 5 1 5 2 10 14 11 11 15 6 2 14 9 8 12 8 0 5 4 13 11 2 12 12 8 4 0 9 3 4 2 0 0 14 15 2 12 10 10 3 7 12
9 15 11 6 8 10 11 6 5 13 12 0 8 5 6 9 0 8 11 12 11 13 14 12 6 10 10 11 9 5 9 7 3 9 2 4 2...

output:

1445

result:

ok 1 number(s): "1445"

Test #17:

score: 5
Accepted
time: 324ms
memory: 4544kb

input:

43 42
8 8 12 8 14 11 14 10 11 13 10 11 12 0 2 3 14 10 6 8 1 4 8 10 9 8 0 3 6 0 2 1 0 8 10 14 1 4 3 6 8 2
12 6 5 6 14 5 1 1 13 7 6 3 14 2 5 3 7 0 5 2 14 11 7 11 15 15 4 9 15 10 9 6 10 12 3 15 10 7 14 7 13 12
0 11 6 1 8 12 4 2 7 14 9 1 3 8 9 1 1 4 13 1 4 4 13 15 13 5 2 1 2 8 0 4 4 9 14 1 3 3 5 7 10 9
...

output:

1364

result:

ok 1 number(s): "1364"

Test #18:

score: 5
Accepted
time: 357ms
memory: 4548kb

input:

42 44
8 3 10 8 1 8 6 10 7 14 10 12 0 6 12 4 10 10 10 7 7 11 10 14 10 10 2 9 12 0 4 12 8 1 0 12 12 1 0 0 0 4 1 2
13 11 1 0 13 14 9 4 13 11 10 11 1 4 6 3 9 2 2 4 3 9 4 3 0 6 10 6 1 1 5 1 4 7 3 4 4 9 6 1 2 6 1 8
11 6 3 10 14 8 13 3 1 14 10 10 10 10 6 5 12 10 7 8 12 14 11 13 10 6 1 8 14 6 1 12 6 11 15 2...

output:

1399

result:

ok 1 number(s): "1399"

Test #19:

score: 5
Accepted
time: 295ms
memory: 4528kb

input:

43 42
4 0 0 2 2 6 12 1 4 6 10 10 10 10 4 0 0 8 2 8 6 12 0 0 6 6 3 12 4 1 6 8 4 6 3 10 6 4 8 8 11 3
5 0 0 12 14 9 3 15 15 11 9 1 4 12 1 2 3 10 11 7 11 13 6 8 6 9 12 15 1 0 5 3 10 6 3 11 14 0 8 8 5 2
5 0 0 5 9 1 0 5 4 5 1 4 6 4 4 9 9 13 15 14 13 15 9 6 13 10 12 3 6 8 3 12 8 1 0 8 12 6 0 0 13 3
5 3 14 ...

output:

1281

result:

ok 1 number(s): "1281"

Test #20:

score: 5
Accepted
time: 313ms
memory: 4524kb

input:

42 43
2 1 2 1 3 12 4 8 8 9 7 8 4 8 10 12 8 8 12 7 3 2 2 1 0 2 11 9 12 2 6 10 7 3 0 1 2 4 1 3 10 10 12
4 5 4 10 6 14 9 11 13 5 14 12 8 2 12 15 14 13 15 15 11 9 7 7 3 13 14 3 6 7 11 0 5 4 2 14 11 4 6 3 12 10 9
0 11 12 4 10 14 3 6 7 13 5 5 4 15 9 7 10 13 6 7 13 10 3 3 11 14 12 10 2 14 7 10 9 12 12 7 6 ...

output:

1319

result:

ok 1 number(s): "1319"

Extra Test:

score: 0
Extra Test Passed