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| #include<cstdio> #include<cstring> #include<algorithm> #include<iostream> #include<queue> #include<map> #include<stack> #include<cmath> #include<set> #include<bitset> #include<complex> #include<cstdlib> #include<assert.h> #define inc(i,l,r) for(int i=l;i<=r;i++) #define dec(i,l,r) for(int i=l;i>=r;i--) #define link(x) for(edge *j=h[x];j;j=j->next) #define mem(a) memset(a,0,sizeof(a)) #define ll long long #define eps 1e-8 #define succ(x) (1<<x) #define lowbit(x) (x&(-x)) #define mid (x+y>>1) #define sqr(x) ((x)*(x)) #define NM 140005 #define nm 4194304 using namespace std; const double pi=acos(-1); const ll inf=998244353; ll read(){ ll x=0,f=1;char ch=getchar(); while(!isdigit(ch)){if(ch=='-')f=-1;ch=getchar();} while(isdigit(ch))x=x*10+ch-'0',ch=getchar(); return f*x; }
inline void reduce(ll&x){x+=x>>63&inf;} inline ll qpow(ll x,ll t){ ll s=1; for(;t;t>>=1,x=x*x%inf)if(t&1)s=s*x%inf; return s; } int n,m,p; ll a[nm],inv[NM];
void fmt(ll*a){ for(int k=0;k<m;k++) inc(i,0,n)if(i>>k&1) reduce(a[i]+=a[i^succ(k)]-inf); } void ifmt(ll*a){ for(int k=0;k<m;k++) inc(i,0,n)if(i>>k&1) reduce(a[i]-=a[i^succ(k)]); }
int main(){ m=read();n=read();p=read(); inv[1]=1; inc(i,2,p)inv[i]=inv[inf%i]*(inf-inf/i)%inf; inc(i,1,n)a[read()]++; n=succ(m)-1; fmt(a); inc(i,0,n){ ll t=a[i],cnt=a[i]; inc(k,2,p){ cnt=cnt*(t-k+1)%inf*inv[k]%inf; reduce(a[i]+=cnt-inf); } } ifmt(a); printf("%lld\n",a[n]); return 0; }
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