oj.uz

Submission #841104

# Submission time Handle Problem Language Result Execution time Memory
841104 2023-09-01T09:09:28 Z peijar Amusement Park (CEOI19_amusementpark) C++17
42 / 100
 1896 ms 1048576 KB 
#include <bits/extc++.h> /** keep-include */
#include <bits/stdc++.h>
#define int long long
using namespace std;

string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
  bool first = true;
  string res = "[";
  for (const auto &x : v) {
    if (!first)
      res += ", ";
    first = false;
    res += to_string(x);
  }
  res += "]";
  return res;
}

void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
  cout << ' ' << to_string(H);
  dbg_out(T...);
}

#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif

using ll = int;
// To use most bits rather than just the lowest ones:
struct chash { // large odd number for C
  const uint64_t C = ll(4e18 * acos(0)) | 71;
  ll operator()(ll x) const { return __builtin_bswap64(x * C); }
};

using hash_table = __gnu_pbds::gp_hash_table<int, int, chash>;

template <const int32_t MOD> struct ModInt {
  int32_t x;
  ModInt() : x(0) {}
  ModInt(long long u) : x(u % MOD) {
    if (x < 0)
      x += MOD;
  }
  friend bool operator==(const ModInt &a, const ModInt &b) {
    return a.x == b.x;
  }
  friend bool operator!=(const ModInt &a, const ModInt &b) {
    return a.x != b.x;
  }
  friend bool operator<(const ModInt &a, const ModInt &b) { return a.x < b.x; }
  friend bool operator>(const ModInt &a, const ModInt &b) { return a.x > b.x; }
  friend bool operator<=(const ModInt &a, const ModInt &b) {
    return a.x <= b.x;
  }
  friend bool operator>=(const ModInt &a, const ModInt &b) {
    return a.x >= b.x;
  }
  static ModInt sign(long long k) {
    return ((k & 1) ? ModInt(MOD - 1) : ModInt(1));
  }

  ModInt &operator+=(const ModInt &m) {
    x += m.x;
    if (x >= MOD)
      x -= MOD;
    return *this;
  }
  ModInt &operator-=(const ModInt &m) {
    x -= m.x;
    if (x < 0LL)
      x += MOD;
    return *this;
  }
  ModInt &operator*=(const ModInt &m) {
    x = (1LL * x * m.x) % MOD;
    return *this;
  }

  friend ModInt operator-(const ModInt &a) {
    ModInt res(a);
    if (res.x)
      res.x = MOD - res.x;
    return res;
  }
  friend ModInt operator+(const ModInt &a, const ModInt &b) {
    return ModInt(a) += ModInt(b);
  }
  friend ModInt operator-(const ModInt &a, const ModInt &b) {
    return ModInt(a) -= ModInt(b);
  }
  friend ModInt operator*(const ModInt &a, const ModInt &b) {
    return ModInt(a) *= ModInt(b);
  }

  static long long fp(long long u, long long k) {
    long long res = 1LL;
    while (k > 0LL) {
      if (k & 1LL)
        res = (res * u) % MOD;
      u = (u * u) % MOD;
      k /= 2LL;
    }
    return res;
  }

  static constexpr int mod() { return MOD; }

  ModInt fastpow(long long k) { return ModInt(fp(x, k)); }
  ModInt inv() {
    assert(x);
    return ModInt(fp(x, MOD - 2));
  }
  ModInt &operator/=(const ModInt &m) { return *this *= ModInt(m).inv(); }
  friend ModInt operator/(const ModInt &a, const ModInt &b) {
    return ModInt(a) *= ModInt(b).inv();
  }

  friend ostream &operator<<(ostream &out, const ModInt &a) {
    return out << a.x;
  }
  friend istream &operator>>(istream &in, ModInt &a) { return in >> a.x; }
  friend string to_string(ModInt u) { return to_string(u.x); }
};

// const int MOD = 1e9 + 7;
const int MOD = 998244353;
using Mint = ModInt<MOD>;

signed main(void) {
  ios_base::sync_with_stdio(false);
  cin.tie(0);

  int n, m;
  cin >> n >> m;
  vector<int> adj(n);
  vector<int> bitAdj(n);
  for (int i = 0; i < m; ++i) {
    int u, v;
    cin >> u >> v;
    --u, --v;
    adj[u] |= 1 << v;
    bitAdj[u] |= 1 << v;
    bitAdj[v] |= 1 << u;
  }

  vector<int> areBad(n);
  for (int u = 0; u < n; ++u)
    for (int v = 0; v < u; ++v)
      if (!((1 << v) & bitAdj[u]))
        areBad[u] |= 1 << v;
  vector<vector<int>> inComplement(1 << n);
  for (int msk = 0; msk < (1 << n); ++msk) {
    int c = (1 << n) - 1 - msk;
    int complement = c;
    while (true) {
      inComplement[msk].push_back(c);
      if (!c)
        break;
      c = (c - 1) & complement;
    }
    sort(inComplement[msk].begin(), inComplement[msk].end());
  }

  vector<hash_table> ids(1 << n);
  for (int i = 0; i < (1 << n); ++i)
    for (int j = 0; j < (int)inComplement[i].size(); ++j)
      ids[i][inComplement[i][j]] = j;

  auto getId = [&](int msk, int c) {
    // return lower_bound(inComplement[msk].begin(), inComplement[msk].end(), c)
    // - inComplement[msk].begin();
    return ids[msk][c];
  };

  vector<vector<Mint>> dpBack(1 << n);
  vector<vector<Mint>> dpForward(1 << n);
  for (int msk = 0; msk < (1 << n); ++msk) {
    dpBack[msk].resize(inComplement[msk].size());
    dpForward[msk].resize(inComplement[msk].size());
  }
  dpBack[0][0] = 1;
  for (int added = 0; added < (1 << n); ++added) {
    int complement = (1 << n) - 1 - added;
    for (int i = 0; i < (int)inComplement[added].size(); ++i) {
      int bad = inComplement[added][i];
      for (int nxt = 0; nxt < n; ++nxt)
        if (!((1 << nxt) & added) and !((1 << nxt) & bad)) {
          int nxtBad = bad & (bad ^ bitAdj[nxt]);
          nxtBad |= areBad[nxt] & complement;
          int j = getId(added ^ (1 << nxt), nxtBad);
          dpBack[added ^ (1 << nxt)][j] += dpBack[added][i];
        }
    }
  }

  dpForward[(1 << n) - 1][0] = 1;
  for (int added = (1 << n) - 2; added >= 0; --added) {
    for (int i = 0; i < (int)inComplement[added].size(); ++i) {
      int bad = inComplement[added][i];
      for (int nxt = 0; nxt < n; ++nxt)
        if (!((1 << nxt) & added) and !((1 << nxt) & bad)) {
          int nxtBad = bad & (bad ^ bitAdj[nxt]);
          nxtBad |= areBad[nxt] & inComplement[added].back();
          dpForward[added][i] +=
              dpForward[added ^ (1 << nxt)][getId(added ^ (1 << nxt), nxtBad)];
        }
    }
  }
  Mint sol = 0;
  for (int added = 0; added < (1 << n); ++added) {
    int complement = (1 << n) - 1 - added;
    for (int i = 0; i < (int)inComplement[added].size(); ++i) {
      int bad = inComplement[added][i];
      for (int nxt = 0; nxt < n; ++nxt)
        if (!((1 << nxt) & added) and !((1 << nxt) & bad)) {
          int nxtBad = bad & (bad ^ bitAdj[nxt]);
          nxtBad |= areBad[nxt] & complement;
          Mint cnt =
              dpForward[added ^ (1 << nxt)][getId(added ^ (1 << nxt), nxtBad)] *
              dpBack[added][i];
          int cntFlip = __builtin_popcount(adj[nxt] & added);
          sol += cnt * cntFlip;
        }
    }
  }

  cout << sol << endl;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 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

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 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 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 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 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 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 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 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 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 1 ms 596 KB Output is correct
32 Correct 2 ms 980 KB Output is correct
33 Correct 2 ms 980 KB Output is correct
34 Correct 2 ms 980 KB Output is correct
35 Correct 3 ms 1008 KB Output is correct
36 Correct 3 ms 1020 KB Output is correct
37 Correct 2 ms 1136 KB Output is correct
38 Correct 3 ms 980 KB Output is correct
39 Correct 10 ms 2560 KB Output is correct
40 Correct 5 ms 2516 KB Output is correct
41 Correct 6 ms 2516 KB Output is correct
42 Correct 5 ms 2516 KB Output is correct
43 Correct 5 ms 2516 KB Output is correct
44 Correct 6 ms 2516 KB Output is correct
45 Correct 5 ms 2516 KB Output is correct
46 Correct 5 ms 2516 KB Output is correct
47 Correct 5 ms 2516 KB Output is correct
48 Correct 5 ms 2516 KB Output is correct
49 Correct 5 ms 2516 KB Output is correct
50 Correct 5 ms 2516 KB Output is correct
51 Correct 5 ms 2516 KB Output is correct
52 Correct 17 ms 6996 KB Output is correct
53 Correct 16 ms 6996 KB Output is correct
54 Correct 16 ms 7036 KB Output is correct
55 Correct 16 ms 6996 KB Output is correct
56 Correct 15 ms 6996 KB Output is correct
57 Correct 16 ms 6996 KB Output is correct
58 Correct 15 ms 6996 KB Output is correct
59 Correct 16 ms 7040 KB Output is correct
60 Correct 15 ms 6996 KB Output is correct
61 Correct 16 ms 6996 KB Output is correct
62 Correct 16 ms 6996 KB Output is correct
63 Correct 16 ms 6996 KB Output is correct
64 Correct 15 ms 6996 KB Output is correct

Subtask #4
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 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 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 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 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 1 ms 596 KB Output is correct
32 Correct 2 ms 980 KB Output is correct
33 Correct 2 ms 980 KB Output is correct
34 Correct 2 ms 980 KB Output is correct
35 Correct 3 ms 1008 KB Output is correct
36 Correct 3 ms 1020 KB Output is correct
37 Correct 2 ms 1136 KB Output is correct
38 Correct 3 ms 980 KB Output is correct
39 Correct 10 ms 2560 KB Output is correct
40 Correct 5 ms 2516 KB Output is correct
41 Correct 6 ms 2516 KB Output is correct
42 Correct 5 ms 2516 KB Output is correct
43 Correct 5 ms 2516 KB Output is correct
44 Correct 6 ms 2516 KB Output is correct
45 Correct 5 ms 2516 KB Output is correct
46 Correct 5 ms 2516 KB Output is correct
47 Correct 5 ms 2516 KB Output is correct
48 Correct 5 ms 2516 KB Output is correct
49 Correct 5 ms 2516 KB Output is correct
50 Correct 5 ms 2516 KB Output is correct
51 Correct 5 ms 2516 KB Output is correct
52 Correct 17 ms 6996 KB Output is correct
53 Correct 16 ms 6996 KB Output is correct
54 Correct 16 ms 7036 KB Output is correct
55 Correct 16 ms 6996 KB Output is correct
56 Correct 15 ms 6996 KB Output is correct
57 Correct 16 ms 6996 KB Output is correct
58 Correct 15 ms 6996 KB Output is correct
59 Correct 16 ms 7040 KB Output is correct
60 Correct 15 ms 6996 KB Output is correct
61 Correct 16 ms 6996 KB Output is correct
62 Correct 16 ms 6996 KB Output is correct
63 Correct 16 ms 6996 KB Output is correct
64 Correct 15 ms 6996 KB Output is correct
65 Correct 1714 ms 528476 KB Output is correct
66 Correct 1716 ms 528400 KB Output is correct
67 Correct 1628 ms 528500 KB Output is correct
68 Correct 1606 ms 528448 KB Output is correct
69 Correct 1896 ms 528464 KB Output is correct
70 Correct 1808 ms 528464 KB Output is correct
71 Correct 1739 ms 528468 KB Output is correct
72 Correct 1734 ms 528464 KB Output is correct
73 Correct 1728 ms 528456 KB Output is correct
74 Correct 1709 ms 528460 KB Output is correct
75 Correct 1683 ms 528464 KB Output is correct
76 Correct 1717 ms 528468 KB Output is correct
77 Runtime error 756 ms 1048576 KB Execution killed with signal 9
78 Halted 0 ms 0 KB -

Subtask #5
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 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 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 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 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 1 ms 596 KB Output is correct
32 Correct 2 ms 980 KB Output is correct
33 Correct 2 ms 980 KB Output is correct
34 Correct 2 ms 980 KB Output is correct
35 Correct 3 ms 1008 KB Output is correct
36 Correct 3 ms 1020 KB Output is correct
37 Correct 2 ms 1136 KB Output is correct
38 Correct 3 ms 980 KB Output is correct
39 Correct 10 ms 2560 KB Output is correct
40 Correct 5 ms 2516 KB Output is correct
41 Correct 6 ms 2516 KB Output is correct
42 Correct 5 ms 2516 KB Output is correct
43 Correct 5 ms 2516 KB Output is correct
44 Correct 6 ms 2516 KB Output is correct
45 Correct 5 ms 2516 KB Output is correct
46 Correct 5 ms 2516 KB Output is correct
47 Correct 5 ms 2516 KB Output is correct
48 Correct 5 ms 2516 KB Output is correct
49 Correct 5 ms 2516 KB Output is correct
50 Correct 5 ms 2516 KB Output is correct
51 Correct 5 ms 2516 KB Output is correct
52 Correct 17 ms 6996 KB Output is correct
53 Correct 16 ms 6996 KB Output is correct
54 Correct 16 ms 7036 KB Output is correct
55 Correct 16 ms 6996 KB Output is correct
56 Correct 15 ms 6996 KB Output is correct
57 Correct 16 ms 6996 KB Output is correct
58 Correct 15 ms 6996 KB Output is correct
59 Correct 16 ms 7040 KB Output is correct
60 Correct 15 ms 6996 KB Output is correct
61 Correct 16 ms 6996 KB Output is correct
62 Correct 16 ms 6996 KB Output is correct
63 Correct 16 ms 6996 KB Output is correct
64 Correct 15 ms 6996 KB Output is correct
65 Correct 1714 ms 528476 KB Output is correct
66 Correct 1716 ms 528400 KB Output is correct
67 Correct 1628 ms 528500 KB Output is correct
68 Correct 1606 ms 528448 KB Output is correct
69 Correct 1896 ms 528464 KB Output is correct
70 Correct 1808 ms 528464 KB Output is correct
71 Correct 1739 ms 528468 KB Output is correct
72 Correct 1734 ms 528464 KB Output is correct
73 Correct 1728 ms 528456 KB Output is correct
74 Correct 1709 ms 528460 KB Output is correct
75 Correct 1683 ms 528464 KB Output is correct
76 Correct 1717 ms 528468 KB Output is correct
77 Runtime error 756 ms 1048576 KB Execution killed with signal 9
78 Halted 0 ms 0 KB -