#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 = 20;
const int oo = 1e9 + 5;
int n, c2[N], c3[N];
ll dp[(1 << N)][N];
void solve() {
cin >> n;
for (int i = 0; i < n; ++i) {
int x;
cin >> x;
c2[i] = __builtin_popcount(x);
while (x) {
c3[i] += ((x % 3) == 1);
x /= 3;
}
dp[(1 << i)][i] = 1;
}
for (int mask = 1; mask < (1 << n); ++mask) {
if (__builtin_popcount(mask) == 1) { continue; }
for (int i = 0; i < n; ++i) {
if ((mask >> i) & 1) {
int mask2 = mask ^ (1 << i);
for (int j = 0; j < n; ++j) {
if (((mask2 >> j) & 1) &&
(c2[i] == c2[j] || c3[i] == c3[j])) {
dp[mask][i] += dp[mask2][j];
}
}
}
}
}
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;
}
/*
“I’m not gonna run away, I never go back on my word! That’s my nindo: my ninja way.” Naruto
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*/
Compilation message
beauty.cpp:85:8: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
main () {
^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
0 ms |
384 KB |
Output is correct |
5 |
Correct |
0 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
512 KB |
Output is correct |
7 |
Correct |
1 ms |
512 KB |
Output is correct |
8 |
Correct |
1 ms |
512 KB |
Output is correct |
9 |
Correct |
1 ms |
512 KB |
Output is correct |
10 |
Correct |
1 ms |
512 KB |
Output is correct |
11 |
Correct |
17 ms |
2944 KB |
Output is correct |
12 |
Correct |
12 ms |
2944 KB |
Output is correct |
13 |
Correct |
42 ms |
10616 KB |
Output is correct |
14 |
Correct |
215 ms |
41468 KB |
Output is correct |
15 |
Correct |
179 ms |
41356 KB |
Output is correct |
16 |
Correct |
219 ms |
41336 KB |
Output is correct |
17 |
Correct |
246 ms |
41336 KB |
Output is correct |
18 |
Correct |
226 ms |
41336 KB |
Output is correct |
19 |
Correct |
986 ms |
164476 KB |
Output is correct |
20 |
Correct |
770 ms |
164528 KB |
Output is correct |