#define _USE_MATH_DEFINES #include using namespace std; //template #define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++) #define ALL(v) (v).begin(),(v).end() using ll=long long int; const int inf = 0x3fffffff; const ll INF = 0x1fffffffffffffff; const double eps=1e-12; templateinline bool chmax(T& a,T b){if(ainline bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;} //end templatestruct fp { using uint=unsigned; uint v; static uint get_mod(){return mod;} int inv() const{ int tmp,a=v,b=mod,x=1,y=0; while(b)tmp=a/b,a-=tmp*b,swap(a,b),x-=tmp*y,swap(x,y); if(x<0){x+=mod;} return x; } fp(ll x=0){init(x%mod+mod);} fp& init(uint x){v=(x>=1;} return res;} fp& operator+=(const fp& x){return init(v+x.v);} fp& operator-=(const fp& x){return init(v+mod-x.v);} fp& operator*=(const fp& x){v=ll(v)*x.v%mod; return *this;} fp& operator/=(const fp& x){v=ll(v)*x.inv()%mod; return *this;} fp operator+(const fp& x)const{return fp(*this)+=x;} fp operator-(const fp& x)const{return fp(*this)-=x;} fp operator*(const fp& x)const{return fp(*this)*=x;} fp operator/(const fp& x)const{return fp(*this)/=x;} bool operator==(const fp& x)const{return v==x.v;} bool operator!=(const fp& x)const{return v!=x.v;} friend istream& operator>>(istream& is,fp& x){is>>x.v; return is;} friend ostream& operator<<(ostream& os,fp& x){os<; templatestruct factorial { vector Fact,Finv,Inv; factorial(int maxx){ Fact.resize(maxx); Finv.resize(maxx); Inv.resize(maxx); Fact[0]=Fact[1]=Finv[0]=Finv[1]=Inv[1]=1; rep(i,2,maxx){Fact[i]=Fact[i-1]*i;} Finv[maxx-1]=Fact[maxx-1].inv(); for(int i=maxx-1;i>=2;i--){Finv[i-1]=Finv[i]*i; Inv[i]=Finv[i]*Fact[i-1];} } T fact(int n,bool inv=0){if(n<0)return 0; return (inv?Finv[n]:Fact[n]);} T inv(int n){if(n<0)return 0; return Inv[n];} T nPr(int n,int r,bool inv=0){if(n<0||nstruct NTT{ vector rt,irt; NTT(int lg=21){ unsigned m=T::get_mod()-1; T prt=p; rt.resize(lg); irt.resize(lg); rep(k,0,lg){ rt[k]=-prt.pow(m>>(k+2)); irt[k]=rt[k].inv(); } } void ntt(vector& f,bool inv=0){ int n=f.size(); if(inv){ for(int m=1;m>=1;){ T w=1; for(int s=0,t=0;s mult(const vector& a,const vector& b,bool same=0){ if(a.empty() or b.empty())return vector(); int n=a.size()+b.size()-1,m=1<<__lg(n*2-1); vector res(m); rep(i,0,a.size()){res[i]=a[i];} ntt(res); if(same)rep(i,0,m)res[i]*=res[i]; else{ vector c(m); rep(i,0,b.size())c[i]=b[i]; ntt(c); rep(i,0,m)res[i]*=c[i]; } ntt(res,1); return res; } }; NTT ntt; void ntt2d(vector>& a,bool inv=0){ for(auto& v:a)ntt.ntt(v,inv); int h=a.size(),w=a[0].size(); rep(j,0,w){ vector v(h); rep(i,0,h)v[i]=a[i][j]; ntt.ntt(v,inv); rep(i,0,h)a[i][j]=v[i]; } } int main(){ int x,y,a,b,c,d; ll t; cin>>x>>y>>t>>a>>b>>c>>d; int h=1<<(x+1),w=1<<(y+1); vector base(h,vector(w)); auto step=base; base[a][b]=base[h-a][w-b]=1; base[a][w-b]=base[h-a][b]=-1; step[0][0]=step[0][1]=step[1][0]=step[0][w-1]=step[h-1][0]=1; ntt2d(base); ntt2d(step); rep(i,0,h)rep(j,0,w)base[i][j]*=step[i][j].pow(t); ntt2d(base,1); cout<