#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops")
///#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#include <bits/stdc++.h>
using namespace std;
/// toto -> 1
#define pb push_back
#define pii pair<int,int>
#define pll pair<ll,ll>
#define io \
ios_base::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0);
#define all(a) a.begin(),a.end()
#define rep(k,i,n) for(ll k=i;k<n;k++)
#define repp(k,i,n) for(ll k=n-1;k>=i;k--)
#define rech(k) for(char k='a';k<='z';k++)
#define SZ(a) (int)a.size()
#define MX(a) *max_element(all(a))
#define MN(a) *min_element(all(a))
#define SM(a) accumulate(all(a),0LL)
#define vi vector<int>
#define vl vector<long long>
#define vvl vector<vector<long long>>
#define vvi vector<vector<int>>
/// toto -> 2
const int mod = 1e9 + 7 , modd = 998244353;
typedef long long ll;
void F1(bool res) {
if(res) {
cout<<"Yes\n" ;
}
else {
cout<<"No\n" ;
}
}
struct mint{
ll val;
mint(int64_t v = 0) {
v %= mod;
if (v < 0) v += mod;
val = v;
}
mint& operator+=(const mint& other) {
val += other.val;
if (val >= mod) val -= mod;
return *this;
}
mint& operator-=(const mint& other) {
val += mod - other.val;
if (val >= mod) val -= mod;
return *this;
}
mint& operator*=(const mint& other) {
val = (int64_t)val * other.val % mod;
return *this;
}
mint& operator/=(const mint& other) {
return *this *= other.inv();
}
friend mint operator+(mint a, const mint& b) { return a += b; }
friend mint operator-(mint a, const mint& b) { return a -= b; }
friend mint operator*(mint a, const mint& b) { return a *= b; }
friend mint operator/(mint a, const mint& b) { return a /= b; }
mint pow(int64_t exp) const {
mint a = *this, res = 1;
while (exp > 0) {
if (exp & 1)
res *= a;
a *= a;
exp >>= 1;
}
return res;
}
mint inv() const {
assert(val != 0);
return pow(mod - 2);
}
friend ostream& operator<<(ostream& os, const mint& m) {
return os << m.val;
}
};
ll bp(ll n,ll m){
if(m == 0){
return 1;
}
if(m == 1){
return n%mod;
}
if(m%2==0){
return bp(n*n%mod,m/2)%mod;
}
return n*bp(n,m-1)%mod;
}
/// toto -> 3
const int N = 21, M = 33, inf = 1e9 + 99;
const ll inff = 5e18;
ll func1(ll n){
ll res = 0;
while(n > 0){
if(n%2 == 1){
res++;
}
n /= 2;
}
return res;
}
ll func2(ll n){
ll res = 0;
while(n > 0){
if(n % 3 == 1){
res++;
}
n /= 3;
}
return res;
}
ll dp[(1<<N)][N];
void solve(){
ll n;
cin >> n;
ll v[n+1][n+1] , a[n+1];
rep(i,1,n+1){
cin >> a[i];
}
rep(i,1,n+1){
rep(j,1,n+1){
v[i][j] = 0;
if(func1(a[i]) == func1(a[j])){
v[i][j] = 1;
}
else if(func2(a[i]) == func2(a[j])){
v[i][j] = 1;
}
}
}
rep(i,0,n){
dp[(1<<i)][i] = 1;
}
rep(i,1,(ll)(1<<n)){
if(__builtin_popcount(i) == 1){
continue;
}
rep(j,0,n){
if((i&(1<<j))){
rep(u,0,n){
if((i&(1<<u)) && j != u){
if(v[j+1][u+1]){
dp[i][j] += dp[i^(1<<j)][u];
}
}
}
}
}
}
ll res = 0;
rep(i,0,n){
res += dp[(1<<n)-1][i];
}
cout << res << endl;;
}
int32_t main()
{
io;
ll t=1;
/// cin>>t;
rep(_,1,t+1)
{
cerr << "Start of test case " << _ << "\n";
///cout<<"Case #"<<_<<": ";
solve();
cerr << endl;
cerr << endl;
}
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 |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
856 KB |
Output is correct |
7 |
Correct |
1 ms |
604 KB |
Output is correct |
8 |
Correct |
1 ms |
588 KB |
Output is correct |
9 |
Correct |
1 ms |
604 KB |
Output is correct |
10 |
Correct |
1 ms |
604 KB |
Output is correct |
11 |
Correct |
7 ms |
4700 KB |
Output is correct |
12 |
Correct |
7 ms |
4700 KB |
Output is correct |
13 |
Correct |
34 ms |
12684 KB |
Output is correct |
14 |
Correct |
153 ms |
43672 KB |
Output is correct |
15 |
Correct |
155 ms |
43656 KB |
Output is correct |
16 |
Correct |
157 ms |
43604 KB |
Output is correct |
17 |
Correct |
161 ms |
43716 KB |
Output is correct |
18 |
Correct |
163 ms |
43660 KB |
Output is correct |
19 |
Correct |
754 ms |
173076 KB |
Output is correct |
20 |
Correct |
674 ms |
173040 KB |
Output is correct |