제출 #867651

#제출 시각아이디문제언어결과실행 시간메모리
867651sleepntsheep아름다운 순열 (IZhO12_beauty)C++17
100 / 100
1075 ms164764 KiB
#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

int n, a[N], b3[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 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] += beautiful(j, l) * dp[k&~(1<<j)][l];
            }
        }
    }

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

    return 0;
}


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