Submission #867652

# Submission time Handle Problem Language Result Execution time Memory
867652 2023-10-29T04:26:37 Z sleepntsheep Beautiful row (IZhO12_beauty) C++17
100 / 100
550 ms 164948 KB
#include <iostream>
#include <vector>
#include <algorithm>
#include <deque>
#include <set>
#include <utility>
#include <array>

using namespace std;
#define ALL(x) x.begin(), x.end()
#define ShinLena cin.tie(nullptr)->sync_with_stdio(false);
using ll = long long;
#define N 20
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2,sse,sse2,sse3,sse4,popcnt,fma")

int n, a[N], b3[N], d[N][N];
ll ans, dp[1<<N][N];

inline int beautiful(int i, int j) { return (__builtin_popcount(a[i]) == __builtin_popcount(a[j])) || b3[i] == b3[j]; }

int main()
{
    ShinLena;
    cin >> n;
    for (int i = 0; i < n; ++i)
    {
        cin >> a[i];
        for (int x = a[i]; x; b3[i] += (x % 3) == 1, x /= 3);
        dp[0][i] = 1;
    }
    for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) d[i][j] = beautiful(i, j);
    for (int k = 0; k < (1 << n); ++k)
    {
        for (int j = 0; j < n; ++j)
        {
            if (!(k&(1<<j))) continue;
            for (int l = 0; l < n; ++l)
            {
                if (k & (1 << l))
                    dp[k][j] += d[j][l] * dp[k&~(1<<j)][l];
            }
        }
    }

    for (int i = 0; i < n; ++i) ans += dp[(1<<n)-1][i];
    cout << ans;

    return 0;
}


# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 0 ms 604 KB Output is correct
8 Correct 0 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 5 ms 4700 KB Output is correct
12 Correct 5 ms 4700 KB Output is correct
13 Correct 23 ms 10844 KB Output is correct
14 Correct 108 ms 41556 KB Output is correct
15 Correct 106 ms 41624 KB Output is correct
16 Correct 109 ms 41616 KB Output is correct
17 Correct 120 ms 41812 KB Output is correct
18 Correct 120 ms 41552 KB Output is correct
19 Correct 531 ms 164812 KB Output is correct
20 Correct 550 ms 164948 KB Output is correct