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  1. #include <bits/stdc++.h>
  2.  
  3. #define ll long long
  4. #define el cout << '\n'
  5. #define bit(mask, i) ((mask >> i) & 1)
  6. #define BIT(n) (1ll << n)
  7. #define set_off(mask, i) (mask & ~BIT(i))
  8.  
  9. using namespace std;
  10.  
  11. const int maxn = 1e6;
  12. const int maxm = 20;
  13. const int MOD = 1e9 + 7;
  14.  
  15. int n, m;
  16. ll dp[BIT(maxm)], p2[BIT(maxm) + 10], ans = 0;
  17.  
  18. int main()
  19. {
  20.     ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  21.     if (fopen("CNKCE.INP", "r"))
  22.     {
  23.         freopen("CNKCE.INP", "r", stdin);
  24.         freopen("CNKCE.OUT", "w", stdout);
  25.     }
  26.     cin >> n >> m;
  27.     for (int i = 1; i <= n; i++)
  28.     {
  29.         ll mask = 0;
  30.         int k;
  31.         cin >> k;
  32.         for (int j = 1; j <= k; j++)
  33.         {
  34.             int x;
  35.             cin >> x;
  36.             x--;
  37.             mask += BIT(x);
  38.         }
  39.         dp[mask]++;
  40.     }
  41.     for (int i = 0; i < m; i++)
  42.         for (int mask = 0; mask < BIT(m); mask++)
  43.             if (bit(mask, i))
  44.                 dp[mask] += dp[set_off(mask, i)];
  45.     p2[0] = 1;
  46.     for (int i = 1; i <= BIT(maxm); i++)
  47.         p2[i] = p2[i - 1] * 2 % MOD;
  48.     for (int mask = 0; mask < BIT(m); mask++)
  49.         if (__builtin_popcount(mask) % 2 == m % 2)
  50.         {
  51.             ans += p2[dp[mask]] - 1;
  52.             ans %= MOD;
  53.         }
  54.         else
  55.         {
  56.             ans -= p2[dp[mask]] - 1;
  57.             ans %= MOD;
  58.         }
  59.     cout << (ans + MOD) % MOD;
  60. }
  61.  
Success #stdin #stdout 0.01s 13764KB
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https://ideone.com/f8bU6D
language:
C++14 (gcc 8.3)
created:
17 hours ago
visibility:
public

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