#include <iostream>
#include <algorithm>
#include <vector>
#include <cmath>
#include <set>
#include <map>
#include <iomanip>
#include <cassert>
#include <stack>
#include <queue>
#include <deque>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
//using namespace __gnu_pbds;
typedef long long ll;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;
// template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// order_of_key (k) : Number of items strictly smaller than k .
// find_by_order(k) : K-th element in a set (counting from zero).
#define sz(a) (int)a.size()
#define all(a) a.begin(), a.end()
#define pb push_back
#define ppb pop_back
#define mkp make_pair
#define F first
#define S second
#define lb lower_bound
#define ub upper_bound
#define show(a) cerr << #a <<" -> "<< a <<" "
#define nl cerr <<"\n"
#define fo(a, b, c, d) for(int (a) = (b); (a) <= (c); (a) += (d))
#define foo(a, b, c ,d) for(int (a) = (b); (a) >= (c); (a) -= (d))
//#define int ll
const int N = (1 << 20);
int n, cnt2[21], cnt3[21];
ll dp[N][21];
void solve() {
cin >> n;
for (int i = 0; i < n; ++i) {
int x;
cin >> x;
cnt2[i] = __builtin_popcount(x);
while (x) {
if (x % 3 == 1) { ++cnt3[i]; }
x /= 3;
}
}
for (int i = 0; i < n; ++i) { dp[(1 << i)][i] = 1; }
for (int mask = 1; mask < (1 << n); ++mask) {
for (int last = 0; last < n; ++last) {
if (!((mask >> last) & 1)) { continue; }
for (int i = 0; i < n; ++i) {
if ((mask >> i) & 1) { continue; }
if (cnt2[last] == cnt2[i] || cnt3[last] == cnt3[i]) {
dp[(mask ^ (1 << i))][i] += dp[mask][last];
}
}
}
}
ll ans = 0;
for (int i = 0; i < n; ++i) {
ans += dp[(1 << n) - 1][i];
}
cout << ans;
}
main () {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int tests = 1;
//cin >> tests;
while (tests --) {
solve();
}
return 0;
}
/*
Just Chalish!
*/
Compilation message
beauty.cpp:78:8: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
78 | main () {
| ^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
0 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
492 KB |
Output is correct |
9 |
Correct |
1 ms |
492 KB |
Output is correct |
10 |
Correct |
1 ms |
492 KB |
Output is correct |
11 |
Correct |
9 ms |
3052 KB |
Output is correct |
12 |
Correct |
9 ms |
3052 KB |
Output is correct |
13 |
Correct |
39 ms |
11116 KB |
Output is correct |
14 |
Correct |
217 ms |
43372 KB |
Output is correct |
15 |
Correct |
166 ms |
43372 KB |
Output is correct |
16 |
Correct |
202 ms |
43372 KB |
Output is correct |
17 |
Correct |
216 ms |
43372 KB |
Output is correct |
18 |
Correct |
207 ms |
43628 KB |
Output is correct |
19 |
Correct |
921 ms |
172828 KB |
Output is correct |
20 |
Correct |
780 ms |
172780 KB |
Output is correct |