oj.uz

Submission #841166

# Submission time Handle Problem Language Result Execution time Memory
841166 2023-09-01T10:12:49 Z peijar Amusement Park (CEOI19_amusementpark) C++17
100 / 100
 2185 ms 1492 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<bool> isGood(1 << n);
  for (int i = 0; i < (1 << n); ++i) {
    isGood[i] = true;
    for (int j = 0; j < n; ++j)
      if ((1 << j) & i)
        isGood[i] = isGood[i] and (bitAdj[j] & i) == 0;
  }

  vector<Mint> dp(1 << n);
  dp[0] = 1;
  for (int msk = 1; msk < (1 << n); ++msk) {
    for (int sub = msk; sub > 0; sub = (sub - 1) & msk)
      if (isGood[sub])
        dp[msk] += dp[msk ^ sub] * Mint::sign(__builtin_popcount(sub) + 1);
  }

  Mint sol = dp[(1 << n) - 1];
  cout << sol * m / 2 << endl;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 1 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 1 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 1 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 0 ms 212 KB Output is correct
11 Correct 0 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 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 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 212 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 1 ms 212 KB Output is correct
2 Correct 1 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 1 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 0 ms 212 KB Output is correct
11 Correct 0 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 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 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 212 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 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 1 ms 336 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 1 ms 212 KB Output is correct
62 Correct 1 ms 212 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 1 ms 212 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 1 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 1 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 0 ms 212 KB Output is correct
11 Correct 0 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 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 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 212 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 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 1 ms 336 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 1 ms 212 KB Output is correct
62 Correct 1 ms 212 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 12 ms 340 KB Output is correct
66 Correct 10 ms 340 KB Output is correct
67 Correct 9 ms 340 KB Output is correct
68 Correct 9 ms 340 KB Output is correct
69 Correct 20 ms 340 KB Output is correct
70 Correct 15 ms 380 KB Output is correct
71 Correct 15 ms 340 KB Output is correct
72 Correct 16 ms 340 KB Output is correct
73 Correct 12 ms 384 KB Output is correct
74 Correct 16 ms 380 KB Output is correct
75 Correct 12 ms 340 KB Output is correct
76 Correct 13 ms 340 KB Output is correct
77 Correct 30 ms 468 KB Output is correct
78 Correct 28 ms 468 KB Output is correct
79 Correct 29 ms 340 KB Output is correct
80 Correct 25 ms 340 KB Output is correct
81 Correct 24 ms 340 KB Output is correct
82 Correct 23 ms 340 KB Output is correct
83 Correct 22 ms 468 KB Output is correct
84 Correct 22 ms 468 KB Output is correct
85 Correct 60 ms 460 KB Output is correct
86 Correct 44 ms 444 KB Output is correct
87 Correct 45 ms 340 KB Output is correct
88 Correct 45 ms 340 KB Output is correct
89 Correct 34 ms 340 KB Output is correct
90 Correct 36 ms 340 KB Output is correct
91 Correct 35 ms 340 KB Output is correct
92 Correct 36 ms 440 KB Output is correct

Subtask #5
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 1 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 0 ms 212 KB Output is correct
11 Correct 0 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 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 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 212 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 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 1 ms 336 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 1 ms 212 KB Output is correct
62 Correct 1 ms 212 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 12 ms 340 KB Output is correct
66 Correct 10 ms 340 KB Output is correct
67 Correct 9 ms 340 KB Output is correct
68 Correct 9 ms 340 KB Output is correct
69 Correct 20 ms 340 KB Output is correct
70 Correct 15 ms 380 KB Output is correct
71 Correct 15 ms 340 KB Output is correct
72 Correct 16 ms 340 KB Output is correct
73 Correct 12 ms 384 KB Output is correct
74 Correct 16 ms 380 KB Output is correct
75 Correct 12 ms 340 KB Output is correct
76 Correct 13 ms 340 KB Output is correct
77 Correct 30 ms 468 KB Output is correct
78 Correct 28 ms 468 KB Output is correct
79 Correct 29 ms 340 KB Output is correct
80 Correct 25 ms 340 KB Output is correct
81 Correct 24 ms 340 KB Output is correct
82 Correct 23 ms 340 KB Output is correct
83 Correct 22 ms 468 KB Output is correct
84 Correct 22 ms 468 KB Output is correct
85 Correct 60 ms 460 KB Output is correct
86 Correct 44 ms 444 KB Output is correct
87 Correct 45 ms 340 KB Output is correct
88 Correct 45 ms 340 KB Output is correct
89 Correct 34 ms 340 KB Output is correct
90 Correct 36 ms 340 KB Output is correct
91 Correct 35 ms 340 KB Output is correct
92 Correct 36 ms 440 KB Output is correct
93 Correct 1134 ms 1376 KB Output is correct
94 Correct 1154 ms 1372 KB Output is correct
95 Correct 1183 ms 1364 KB Output is correct
96 Correct 873 ms 1484 KB Output is correct
97 Correct 783 ms 1488 KB Output is correct
98 Correct 895 ms 1364 KB Output is correct
99 Correct 94 ms 596 KB Output is correct
100 Correct 81 ms 572 KB Output is correct
101 Correct 74 ms 468 KB Output is correct
102 Correct 69 ms 468 KB Output is correct
103 Correct 736 ms 852 KB Output is correct
104 Correct 405 ms 852 KB Output is correct
105 Correct 311 ms 852 KB Output is correct
106 Correct 238 ms 972 KB Output is correct
107 Correct 2185 ms 1372 KB Output is correct
108 Correct 895 ms 1376 KB Output is correct
109 Correct 660 ms 1376 KB Output is correct
110 Correct 565 ms 1372 KB Output is correct
111 Correct 65 ms 468 KB Output is correct
112 Correct 61 ms 596 KB Output is correct
113 Correct 60 ms 468 KB Output is correct
114 Correct 174 ms 596 KB Output is correct
115 Correct 126 ms 468 KB Output is correct
116 Correct 131 ms 596 KB Output is correct
117 Correct 140 ms 576 KB Output is correct
118 Correct 105 ms 596 KB Output is correct
119 Correct 107 ms 576 KB Output is correct
120 Correct 102 ms 468 KB Output is correct
121 Correct 104 ms 468 KB Output is correct
122 Correct 213 ms 852 KB Output is correct
123 Correct 184 ms 852 KB Output is correct
124 Correct 176 ms 852 KB Output is correct
125 Correct 171 ms 852 KB Output is correct
126 Correct 164 ms 852 KB Output is correct
127 Correct 160 ms 852 KB Output is correct
128 Correct 152 ms 872 KB Output is correct
129 Correct 148 ms 852 KB Output is correct
130 Correct 144 ms 852 KB Output is correct
131 Correct 514 ms 852 KB Output is correct
132 Correct 380 ms 852 KB Output is correct
133 Correct 392 ms 852 KB Output is correct
134 Correct 411 ms 852 KB Output is correct
135 Correct 296 ms 852 KB Output is correct
136 Correct 315 ms 852 KB Output is correct
137 Correct 305 ms 852 KB Output is correct
138 Correct 319 ms 852 KB Output is correct
139 Correct 241 ms 872 KB Output is correct
140 Correct 286 ms 852 KB Output is correct
141 Correct 260 ms 852 KB Output is correct
142 Correct 508 ms 1368 KB Output is correct
143 Correct 486 ms 1368 KB Output is correct
144 Correct 466 ms 1364 KB Output is correct
145 Correct 466 ms 1368 KB Output is correct
146 Correct 429 ms 1372 KB Output is correct
147 Correct 417 ms 1364 KB Output is correct
148 Correct 517 ms 1368 KB Output is correct
149 Correct 507 ms 1372 KB Output is correct
150 Correct 497 ms 1376 KB Output is correct
151 Correct 679 ms 1372 KB Output is correct
152 Correct 657 ms 1372 KB Output is correct
153 Correct 885 ms 1492 KB Output is correct
154 Correct 884 ms 1364 KB Output is correct
155 Correct 906 ms 1492 KB Output is correct
156 Correct 912 ms 1372 KB Output is correct
157 Correct 883 ms 1372 KB Output is correct
158 Correct 905 ms 1364 KB Output is correct
159 Correct 708 ms 1372 KB Output is correct
160 Correct 723 ms 1484 KB Output is correct
161 Correct 760 ms 1376 KB Output is correct
162 Correct 598 ms 1364 KB Output is correct
163 Correct 602 ms 1368 KB Output is correct
164 Correct 603 ms 1368 KB Output is correct
165 Correct 637 ms 1372 KB Output is correct
166 Correct 630 ms 1364 KB Output is correct
167 Correct 632 ms 1364 KB Output is correct