#include
     
      #define reg register int#define il inline#define fi first#define se second#define mk(a,b) make_pair(a,b)#define numb (ch^'0')#define pb push_back#define solid const auto &#define enter cout<
      
       using namespace std;typedef long long ll;template
       
        il void rd(T &x){    char ch;x=0;bool fl=false;while(!isdigit(ch=getchar()))(ch=='-')&&(fl=true);    for(x=numb;isdigit(ch=getchar());x=x*10+numb);(fl==true)&&(x=-x);}template
        
         il void output(T x){
   if(x/10)output(x/10);putchar(x%10+'0');}template
         
          il void ot(T x){
   if(x<0) putchar('-'),x=-x;output(x);putchar(' ');}template
          
           il void prt(T a[],int st,int nd){ for(reg i=st;i<=nd;++i) ot(a[i]);putchar('\n');}namespace Modulo{const int mod=998244353;il int ad(int x,int y){ return x+y>=mod?x+y-mod:x+y;}il int sub(int x,int y){ return ad(x,mod-y);}il int mul(int x,int y){ return (ll)x*y%mod;}il void inc(int &x,int y){x=ad(x,y);}il void inc2(int &x,int y){x=mul(x,y);}il int qm(int x,int y=mod-2){ int ret=1;while(y){ if(y&1) ret=mul(x,ret);x=mul(x,x);y>>=1;}return ret;}template
           
            il int ad(const int a,const int b,const Args &...args) { return ad(ad(a,b),args...);}template
            
             il int mul(const int a,const int b,const Args &...args) { return mul(mul(a,b),args...);}}//using namespace Modulo;namespace Miracle{const int N=22;const int inf=0x3f3f3f3f;int n,p;int f[1<
             
              >i)&1){ if(!((nd[now]
              
               nd[i]))) g[s]=0; } } } for(reg s=0;s<(1<
               
                >p[lp].id)&1))||p[lp].p
                
                 >c)&1)){ if(g[s|(1<