#include <bits/stdc++.h>
#define N 21
#define M 1050000
using namespace std;
typedef long long ll;
ll n, dp[N][M], v[N], pot[45], qtd[N][5];
vector<int> grafo[N];
bool equal(int a, int b)
{
return (qtd[a][2] == qtd[b][2] || qtd[a][3] == qtd[b][3]);
}
int ternary(int x)
{
int cnt = 0;
for(int log3 = 30; log3 >= 0; log3 --)
{
ll aux = pot[log3], qaux = 0;
if(x >= aux)
{
x -= aux;
qaux ++;
}
if(x >= aux)
{
x -= aux;
qaux ++;
}
cnt = cnt + (qaux == 1);
}
return cnt;
}
ll solve(int x, int mask)
{
if(dp[x][mask] != -1) return dp[x][mask];
if(mask == (1<<n) - 1) return 1;
dp[x][mask] = 0;
for(int v = 0; v < n; v++)
{
if(mask & (1<<v)) continue;
if(equal(x, v)) dp[x][mask] += solve(v, mask | (1<<v));
}
return dp[x][mask];
}
int main()
{
ios::sync_with_stdio(false); cin.tie(0);
cin>>n;
for(int i = 0; i < n; i++) cin>>v[i];
pot[0] = 1;
for(int i = 1; i < 45; i++) pot[i] = pot[i - 1]*3;
for(int i = 0; i < n; i++)
{
qtd[i][2] = __builtin_popcount (v[i]);
qtd[i][3] = ternary(v[i]);
}
memset(dp, -1, sizeof dp);
ll best = 0;
for(int i = 0; i < n; i++) best += solve(i, 1<<i);
cout<<best<<"\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
125 ms |
172920 KB |
Output is correct |
2 |
Correct |
126 ms |
172964 KB |
Output is correct |
3 |
Correct |
121 ms |
173096 KB |
Output is correct |
4 |
Correct |
121 ms |
173136 KB |
Output is correct |
5 |
Correct |
126 ms |
173140 KB |
Output is correct |
6 |
Correct |
128 ms |
173192 KB |
Output is correct |
7 |
Correct |
125 ms |
173256 KB |
Output is correct |
8 |
Correct |
123 ms |
173256 KB |
Output is correct |
9 |
Correct |
122 ms |
173256 KB |
Output is correct |
10 |
Correct |
119 ms |
173256 KB |
Output is correct |
11 |
Correct |
136 ms |
173256 KB |
Output is correct |
12 |
Correct |
127 ms |
173256 KB |
Output is correct |
13 |
Correct |
182 ms |
173256 KB |
Output is correct |
14 |
Correct |
580 ms |
173272 KB |
Output is correct |
15 |
Correct |
601 ms |
173308 KB |
Output is correct |
16 |
Correct |
448 ms |
173308 KB |
Output is correct |
17 |
Correct |
547 ms |
173424 KB |
Output is correct |
18 |
Correct |
380 ms |
173424 KB |
Output is correct |
19 |
Correct |
2931 ms |
173424 KB |
Output is correct |
20 |
Execution timed out |
3029 ms |
173424 KB |
Time limit exceeded |