#include <bits/stdc++.h>
#define int long long
using namespace std;
int n;
vector<int> nums;
int cnt=0ll;
vector<vector<int> > dp;
vector<int>b2,b3;
int slv(int msk=0,int lstidx=-1){
if(msk==(1ll<<n)-1ll){
return 1ll;
}
int cnt=0;
if(lstidx!=-1&&dp[msk][lstidx]!=-1)
return dp[msk][lstidx];
for(int i=0;i<n;i++){
if(!(msk&(1<<i))){
if(lstidx==-1){
cnt+=slv(msk|(1ll<<i),i);
continue;
}
int f=(b2[i]==b2[lstidx])||(b3[i]==b3[lstidx]);
if(f){
cnt+=slv(msk|(1ll<<i),i);
}
}
}
if(lstidx!=-1)
dp[msk][lstidx]=cnt;
return cnt;
}
int32_t main()
{
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin>>n;
nums=vector<int>(n);
for(int i=0;i<n;i++){
cin>>nums[i];
}
dp=vector<vector<int> >((1<<n),vector<int>(n,-1ll));
b2=b3=vector<int>(n);
for(int i=0;i<n;i++){
int cntb2=0;
int num1=nums[i];
while(num1){
cntb2+=num1%2ll;
num1/=2ll;
}
b2[i]=cntb2;
int cntb3=0;
num1=nums[i];
while(num1){
cntb3+=(num1%3ll==1ll);
num1/=3ll;
}
b3[i]=cntb3;
}
for(int i=(1<<n)-1;i>=1;i--){
for(int j=n-1;j>=0;j--){
if(i&(1<<j))
slv(i,j);
}
}
cout<<(long long)slv();
return 0;
}
