Result: Accepted
Time: 6ms
Memory: 1716kB
#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<string>
#include<algorithm>
#include<vector>
#include<queue>
#include<set>
#include<map>
#include<stack>
using namespace std;
const int inf = 0x3f3f3f3f;
#define LL long long
long long gcd(long long a, long long b) { return a == 0 ? b : gcd(b % a, a); }
int n;
int N[50];
char s[100];
LL ans=0;
LL mul[50];
int u[5];
const LL mode=1e9+7;
void DFS(int ty,int nx)
{
//printf("%d\n",nx);
if(nx==n)
{
ans+=mul[N[1]]*mul[N[2]]*mul[N[3]];
ans%=mode;
return ;
}
if(ty==1)
{
if(s[nx]=='0')
{
u[1]++;
if(u[1]<=N[1])DFS(1,nx+1);
u[1]--;
u[2]++;
if(u[2]<=N[2])DFS(2,nx+1);
u[2]--;
}
else
{
u[3]++;
if(u[3]<=N[3])DFS(3,nx+1);
u[3]--;
}
}
else if(ty==2)
{
if(s[nx]=='0')
{
u[1]++;
if(u[1]<=N[1])DFS(1,nx+1);
u[1]--;
u[2]++;
if(u[2]<=N[2])DFS(2,nx+1);
u[2]--;
u[3]++;
if(u[3]<=N[3])DFS(3,nx+1);
u[3]--;
}
}
else
{
if(s[nx]=='0')
{
u[3]++;
if(u[3]<=N[3])DFS(3,nx+1);
u[3]--;
u[2]++;
if(u[2]<=N[2])DFS(2,nx+1);
u[2]--;
}
else
{
u[1]++;
if(u[1]<=N[1])DFS(1,nx+1);
u[1]--;
}
}
return ;
}
int main()
{
mul[0]=1;
for(int i=1;i<=20;i++)mul[i]=mul[i-1]*i,N[i]=0;
scanf("%d",&n);
for(int i=1;i<=n;i++)
{
int x;
scanf("%d",&x);
N[x]++;
}
scanf("%s",s+1);
memset(u,0,sizeof(u));
for(int i=1;i<=3;i++)
{
u[i]++;
if(u[i]<=N[i])DFS(i,1);
u[i]--;
}
printf("%lld\n",ans);
}