oj.uz

Submission #841136

# Submission time Handle Problem Language Result Execution time Memory
841136 2023-09-01T09:39:24 Z peijar Amusement Park (CEOI19_amusementpark) C++17
63 / 100
 1549 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());
  }

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

  vector<vector<Mint>> dpBack(1 << n);
  vector<vector<Mint>> dpSumCost(1 << n);
  for (int msk = 0; msk < (1 << n); ++msk) {
    dpBack[msk].resize(inComplement[msk].size());
    dpSumCost[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);
          int cntFlip = __builtin_popcount(adj[nxt] & added);
          dpBack[added ^ (1 << nxt)][j] += dpBack[added][i];
          dpSumCost[added ^ (1 << nxt)][j] +=
              cntFlip * dpBack[added][i] + dpSumCost[added][i];
        }
    }
  }

  cout << dpSumCost[(1 << n) - 1][0] << 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 1 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 1 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 1 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 1 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 1 ms 212 KB Output is correct
14 Correct 0 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 0 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 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 0 ms 340 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 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 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 1 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 1 ms 212 KB Output is correct
14 Correct 0 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 0 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 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 464 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 1 ms 596 KB Output is correct
40 Correct 1 ms 596 KB Output is correct
41 Correct 1 ms 596 KB Output is correct
42 Correct 1 ms 596 KB Output is correct
43 Correct 1 ms 596 KB Output is correct
44 Correct 1 ms 596 KB Output is correct
45 Correct 1 ms 596 KB Output is correct
46 Correct 1 ms 596 KB Output is correct
47 Correct 1 ms 596 KB Output is correct
48 Correct 1 ms 596 KB Output is correct
49 Correct 1 ms 596 KB Output is correct
50 Correct 1 ms 596 KB Output is correct
51 Correct 1 ms 596 KB Output is correct
52 Correct 1 ms 1364 KB Output is correct
53 Correct 2 ms 1236 KB Output is correct
54 Correct 2 ms 1236 KB Output is correct
55 Correct 2 ms 1236 KB Output is correct
56 Correct 3 ms 1236 KB Output is correct
57 Correct 2 ms 1364 KB Output is correct
58 Correct 2 ms 1236 KB Output is correct
59 Correct 2 ms 1236 KB Output is correct
60 Correct 1 ms 1236 KB Output is correct
61 Correct 3 ms 1236 KB Output is correct
62 Correct 2 ms 1236 KB Output is correct
63 Correct 2 ms 1364 KB Output is correct
64 Correct 1 ms 1364 KB Output is correct

Subtask #4
21.0 / 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 1 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 1 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 1 ms 212 KB Output is correct
14 Correct 0 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 0 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 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 464 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 1 ms 596 KB Output is correct
40 Correct 1 ms 596 KB Output is correct
41 Correct 1 ms 596 KB Output is correct
42 Correct 1 ms 596 KB Output is correct
43 Correct 1 ms 596 KB Output is correct
44 Correct 1 ms 596 KB Output is correct
45 Correct 1 ms 596 KB Output is correct
46 Correct 1 ms 596 KB Output is correct
47 Correct 1 ms 596 KB Output is correct
48 Correct 1 ms 596 KB Output is correct
49 Correct 1 ms 596 KB Output is correct
50 Correct 1 ms 596 KB Output is correct
51 Correct 1 ms 596 KB Output is correct
52 Correct 1 ms 1364 KB Output is correct
53 Correct 2 ms 1236 KB Output is correct
54 Correct 2 ms 1236 KB Output is correct
55 Correct 2 ms 1236 KB Output is correct
56 Correct 3 ms 1236 KB Output is correct
57 Correct 2 ms 1364 KB Output is correct
58 Correct 2 ms 1236 KB Output is correct
59 Correct 2 ms 1236 KB Output is correct
60 Correct 1 ms 1236 KB Output is correct
61 Correct 3 ms 1236 KB Output is correct
62 Correct 2 ms 1236 KB Output is correct
63 Correct 2 ms 1364 KB Output is correct
64 Correct 1 ms 1364 KB Output is correct
65 Correct 94 ms 77172 KB Output is correct
66 Correct 105 ms 77036 KB Output is correct
67 Correct 98 ms 77000 KB Output is correct
68 Correct 97 ms 77004 KB Output is correct
69 Correct 80 ms 77084 KB Output is correct
70 Correct 89 ms 77008 KB Output is correct
71 Correct 81 ms 77064 KB Output is correct
72 Correct 81 ms 77040 KB Output is correct
73 Correct 84 ms 77128 KB Output is correct
74 Correct 91 ms 77112 KB Output is correct
75 Correct 88 ms 77112 KB Output is correct
76 Correct 83 ms 77120 KB Output is correct
77 Correct 259 ms 228828 KB Output is correct
78 Correct 266 ms 228876 KB Output is correct
79 Correct 274 ms 228800 KB Output is correct
80 Correct 274 ms 228788 KB Output is correct
81 Correct 282 ms 228832 KB Output is correct
82 Correct 276 ms 228868 KB Output is correct
83 Correct 294 ms 228864 KB Output is correct
84 Correct 284 ms 228764 KB Output is correct
85 Correct 225 ms 228796 KB Output is correct
86 Correct 231 ms 228820 KB Output is correct
87 Correct 273 ms 228816 KB Output is correct
88 Correct 232 ms 228876 KB Output is correct
89 Correct 286 ms 228864 KB Output is correct
90 Correct 237 ms 228792 KB Output is correct
91 Correct 233 ms 228844 KB Output is correct
92 Correct 249 ms 228864 KB Output is correct

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 1 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 1 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 1 ms 212 KB Output is correct
14 Correct 0 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 0 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 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 464 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 1 ms 596 KB Output is correct
40 Correct 1 ms 596 KB Output is correct
41 Correct 1 ms 596 KB Output is correct
42 Correct 1 ms 596 KB Output is correct
43 Correct 1 ms 596 KB Output is correct
44 Correct 1 ms 596 KB Output is correct
45 Correct 1 ms 596 KB Output is correct
46 Correct 1 ms 596 KB Output is correct
47 Correct 1 ms 596 KB Output is correct
48 Correct 1 ms 596 KB Output is correct
49 Correct 1 ms 596 KB Output is correct
50 Correct 1 ms 596 KB Output is correct
51 Correct 1 ms 596 KB Output is correct
52 Correct 1 ms 1364 KB Output is correct
53 Correct 2 ms 1236 KB Output is correct
54 Correct 2 ms 1236 KB Output is correct
55 Correct 2 ms 1236 KB Output is correct
56 Correct 3 ms 1236 KB Output is correct
57 Correct 2 ms 1364 KB Output is correct
58 Correct 2 ms 1236 KB Output is correct
59 Correct 2 ms 1236 KB Output is correct
60 Correct 1 ms 1236 KB Output is correct
61 Correct 3 ms 1236 KB Output is correct
62 Correct 2 ms 1236 KB Output is correct
63 Correct 2 ms 1364 KB Output is correct
64 Correct 1 ms 1364 KB Output is correct
65 Correct 94 ms 77172 KB Output is correct
66 Correct 105 ms 77036 KB Output is correct
67 Correct 98 ms 77000 KB Output is correct
68 Correct 97 ms 77004 KB Output is correct
69 Correct 80 ms 77084 KB Output is correct
70 Correct 89 ms 77008 KB Output is correct
71 Correct 81 ms 77064 KB Output is correct
72 Correct 81 ms 77040 KB Output is correct
73 Correct 84 ms 77128 KB Output is correct
74 Correct 91 ms 77112 KB Output is correct
75 Correct 88 ms 77112 KB Output is correct
76 Correct 83 ms 77120 KB Output is correct
77 Correct 259 ms 228828 KB Output is correct
78 Correct 266 ms 228876 KB Output is correct
79 Correct 274 ms 228800 KB Output is correct
80 Correct 274 ms 228788 KB Output is correct
81 Correct 282 ms 228832 KB Output is correct
82 Correct 276 ms 228868 KB Output is correct
83 Correct 294 ms 228864 KB Output is correct
84 Correct 284 ms 228764 KB Output is correct
85 Correct 225 ms 228796 KB Output is correct
86 Correct 231 ms 228820 KB Output is correct
87 Correct 273 ms 228816 KB Output is correct
88 Correct 232 ms 228876 KB Output is correct
89 Correct 286 ms 228864 KB Output is correct
90 Correct 237 ms 228792 KB Output is correct
91 Correct 233 ms 228844 KB Output is correct
92 Correct 249 ms 228864 KB Output is correct
93 Runtime error 1549 ms 1048576 KB Execution killed with signal 9
94 Halted 0 ms 0 KB -