#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define popcount __builtin_popcount using namespace std; using ll=long long; typedef pair P; const ll MOD=998244353; ll powmod(ll a, ll k){ ll ap=a, ans=1; while(k){ if(k&1){ ans*=ap; ans%=MOD; } ap=ap*ap; ap%=MOD; k>>=1; } return ans; } ll inv(ll a){ return powmod(a, MOD-2); } const ll r=3; struct NTT{ ll zeta[24]; NTT(){ zeta[23]=powmod(r, (MOD-1)>>23); for(int i=22; i>=0; i--) zeta[i]=zeta[i+1]*zeta[i+1]%MOD; } vector fft(vector a, int k, bool inverse=false){ int n=a.size(); vector tmp(n); for(int t=1; t<=k; t++){ ll w=1, z=zeta[t]; if(inverse) z=inv(z); for(int i=0; i multiply(vector a, vector b){ int n=a.size()+b.size()-1, k=0; while((1< c(n); for(int i=0; i> fft_2d(vector> v, int n, int m, bool inverse=false){ vector> fv(1< vh(1<>x>>y>>t>>a>>b>>c>>d; vector> v(1<<(x+1), vector(1<<(y+1))); v[0][0]=v[1][0]=v[0][1]=v[(1<<(x+1))-1][0]=v[0][(1<<(y+1))-1]=1; //v[a][b]=1, v[(1<<(x+1))-a][b]=MOD-1, v[a][(1<<(y+1))-b]=MOD-1, v[(1<<(x+1))-a][(1<<(y+1))-b]=1; auto fv=fft_2d(v, x+1, y+1); for(int i=0; i<(1<<(x+1)); i++){ for(int j=0; j<(1<<(y+1)); j++){ fv[i][j]=powmod(fv[i][j], t); } } auto vp=fft_2d(fv, x+1, y+1, true); int a1[4]={a, (1<<(x+1))-a, (1<<(x+1))-a, a}; int b1[4]={b, (1<<(y+1))-b, b, (1<<(y+1))-b}; int maskx=(1<<(x+1))-1, masky=(1<<(y+1))-1; ll ans=0; for(int i=0; i<4; i++){ ll z=vp[(c-a1[i]+(1<<(x+1)))&maskx][(d-b1[i]+(1<<(y+1)))&masky]; if(i<2) ans+=z; else ans+=MOD-z; } ans%=MOD; cout<