oj.uz

Submission #841133

# Submission time Handle Problem Language Result Execution time Memory
841133 2023-09-01T09:34:07 Z peijar Amusement Park (CEOI19_amusementpark) C++17
42 / 100
 3000 ms 228852 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());
  }

  auto getId = [&](int msk, int c) {
    int cc = 0;
    int cnt = 0;
    for (int i = 0; i < n; ++i) {
      if (!((1 << i) & msk)) {
        if ((1 << i) & c)
          cc |= 1 << cnt;
        ++cnt;
      }
    }
    return cc;
  };

  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];
      if (dpBack[added][i] == 0)
        continue;
      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;
  Mint sol = 0;
  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();
          int j = getId(added ^ (1 << nxt), nxtBad);
          dpForward[added][i] += dpForward[added ^ (1 << nxt)][j];
          int cntFlip = __builtin_popcount(adj[nxt] & added);
          Mint cnt =
              dpForward[added ^ (1 << nxt)][getId(added ^ (1 << nxt), nxtBad)] *
              dpBack[added][i];
          sol += cnt * cntFlip;
        }
    }
  }
  cout << sol << endl;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 336 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 240 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 0 ms 212 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 336 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 240 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 0 ms 212 KB Output is correct
9 Correct 1 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 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 2 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 336 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 240 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 0 ms 212 KB Output is correct
9 Correct 1 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 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 2 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 3 ms 340 KB Output is correct
33 Correct 2 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 2 ms 340 KB Output is correct
36 Correct 2 ms 340 KB Output is correct
37 Correct 2 ms 340 KB Output is correct
38 Correct 2 ms 340 KB Output is correct
39 Correct 5 ms 596 KB Output is correct
40 Correct 5 ms 596 KB Output is correct
41 Correct 5 ms 596 KB Output is correct
42 Correct 5 ms 596 KB Output is correct
43 Correct 4 ms 596 KB Output is correct
44 Correct 5 ms 596 KB Output is correct
45 Correct 4 ms 596 KB Output is correct
46 Correct 4 ms 596 KB Output is correct
47 Correct 4 ms 596 KB Output is correct
48 Correct 6 ms 596 KB Output is correct
49 Correct 5 ms 596 KB Output is correct
50 Correct 5 ms 596 KB Output is correct
51 Correct 5 ms 596 KB Output is correct
52 Correct 15 ms 1356 KB Output is correct
53 Correct 15 ms 1368 KB Output is correct
54 Correct 17 ms 1236 KB Output is correct
55 Correct 17 ms 1356 KB Output is correct
56 Correct 14 ms 1364 KB Output is correct
57 Correct 13 ms 1364 KB Output is correct
58 Correct 15 ms 1360 KB Output is correct
59 Correct 12 ms 1236 KB Output is correct
60 Correct 13 ms 1364 KB Output is correct
61 Correct 16 ms 1360 KB Output is correct
62 Correct 17 ms 1236 KB Output is correct
63 Correct 17 ms 1360 KB Output is correct
64 Correct 17 ms 1360 KB Output is correct

Subtask #4
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 336 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 240 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 0 ms 212 KB Output is correct
9 Correct 1 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 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 2 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 3 ms 340 KB Output is correct
33 Correct 2 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 2 ms 340 KB Output is correct
36 Correct 2 ms 340 KB Output is correct
37 Correct 2 ms 340 KB Output is correct
38 Correct 2 ms 340 KB Output is correct
39 Correct 5 ms 596 KB Output is correct
40 Correct 5 ms 596 KB Output is correct
41 Correct 5 ms 596 KB Output is correct
42 Correct 5 ms 596 KB Output is correct
43 Correct 4 ms 596 KB Output is correct
44 Correct 5 ms 596 KB Output is correct
45 Correct 4 ms 596 KB Output is correct
46 Correct 4 ms 596 KB Output is correct
47 Correct 4 ms 596 KB Output is correct
48 Correct 6 ms 596 KB Output is correct
49 Correct 5 ms 596 KB Output is correct
50 Correct 5 ms 596 KB Output is correct
51 Correct 5 ms 596 KB Output is correct
52 Correct 15 ms 1356 KB Output is correct
53 Correct 15 ms 1368 KB Output is correct
54 Correct 17 ms 1236 KB Output is correct
55 Correct 17 ms 1356 KB Output is correct
56 Correct 14 ms 1364 KB Output is correct
57 Correct 13 ms 1364 KB Output is correct
58 Correct 15 ms 1360 KB Output is correct
59 Correct 12 ms 1236 KB Output is correct
60 Correct 13 ms 1364 KB Output is correct
61 Correct 16 ms 1360 KB Output is correct
62 Correct 17 ms 1236 KB Output is correct
63 Correct 17 ms 1360 KB Output is correct
64 Correct 17 ms 1360 KB Output is correct
65 Correct 1656 ms 77128 KB Output is correct
66 Correct 1559 ms 77124 KB Output is correct
67 Correct 1577 ms 77124 KB Output is correct
68 Correct 1487 ms 77032 KB Output is correct
69 Correct 1764 ms 77120 KB Output is correct
70 Correct 1651 ms 77124 KB Output is correct
71 Correct 1699 ms 77128 KB Output is correct
72 Correct 1727 ms 77200 KB Output is correct
73 Correct 1560 ms 77128 KB Output is correct
74 Correct 1563 ms 77124 KB Output is correct
75 Correct 1630 ms 77132 KB Output is correct
76 Correct 1670 ms 77124 KB Output is correct
77 Execution timed out 3065 ms 228852 KB Time limit exceeded
78 Halted 0 ms 0 KB -

Subtask #5
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 336 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 240 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 0 ms 212 KB Output is correct
9 Correct 1 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 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 2 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 3 ms 340 KB Output is correct
33 Correct 2 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 2 ms 340 KB Output is correct
36 Correct 2 ms 340 KB Output is correct
37 Correct 2 ms 340 KB Output is correct
38 Correct 2 ms 340 KB Output is correct
39 Correct 5 ms 596 KB Output is correct
40 Correct 5 ms 596 KB Output is correct
41 Correct 5 ms 596 KB Output is correct
42 Correct 5 ms 596 KB Output is correct
43 Correct 4 ms 596 KB Output is correct
44 Correct 5 ms 596 KB Output is correct
45 Correct 4 ms 596 KB Output is correct
46 Correct 4 ms 596 KB Output is correct
47 Correct 4 ms 596 KB Output is correct
48 Correct 6 ms 596 KB Output is correct
49 Correct 5 ms 596 KB Output is correct
50 Correct 5 ms 596 KB Output is correct
51 Correct 5 ms 596 KB Output is correct
52 Correct 15 ms 1356 KB Output is correct
53 Correct 15 ms 1368 KB Output is correct
54 Correct 17 ms 1236 KB Output is correct
55 Correct 17 ms 1356 KB Output is correct
56 Correct 14 ms 1364 KB Output is correct
57 Correct 13 ms 1364 KB Output is correct
58 Correct 15 ms 1360 KB Output is correct
59 Correct 12 ms 1236 KB Output is correct
60 Correct 13 ms 1364 KB Output is correct
61 Correct 16 ms 1360 KB Output is correct
62 Correct 17 ms 1236 KB Output is correct
63 Correct 17 ms 1360 KB Output is correct
64 Correct 17 ms 1360 KB Output is correct
65 Correct 1656 ms 77128 KB Output is correct
66 Correct 1559 ms 77124 KB Output is correct
67 Correct 1577 ms 77124 KB Output is correct
68 Correct 1487 ms 77032 KB Output is correct
69 Correct 1764 ms 77120 KB Output is correct
70 Correct 1651 ms 77124 KB Output is correct
71 Correct 1699 ms 77128 KB Output is correct
72 Correct 1727 ms 77200 KB Output is correct
73 Correct 1560 ms 77128 KB Output is correct
74 Correct 1563 ms 77124 KB Output is correct
75 Correct 1630 ms 77132 KB Output is correct
76 Correct 1670 ms 77124 KB Output is correct
77 Execution timed out 3065 ms 228852 KB Time limit exceeded
78 Halted 0 ms 0 KB -