#pragma region template #pragma GCC optimize("Ofast") #include using namespace std; using ll=long long; using ld=long double; using vi=vector; using vll=vector; using pi=pair; using pll=pair; #define overload2(a,b,c,...) c #define overload3(a,b,c,d,...) d #define overload4(a,b,c,d,e,...) e #define overload5(a,b,c,d,e,f,...) f #define TYPE1(T) template #define TYPE2(T,U) template #define TYPE(...) overload2(__VA_ARGS__,TYPE2,TYPE1)(__VA_ARGS__) #define TYPES1(T) template #define TYPES2(H,T) template #define TYPES(...) overload2(__VA_ARGS__,TYPES2,TYPES1)(__VA_ARGS__) #define REP4(i,s,n,d) for(int i=(s);i<(n);i+=(d)) #define REP3(i,s,n) REP4(i,s,n,1) #define REP2(i,n) REP3(i,0,n) #define REP1(n) REP2(tomato,n) #define REP(...) overload4(__VA_ARGS__,REP4,REP3,REP2,REP1)(__VA_ARGS__) #define RREP4(i,n,s,d) for(int i=(n)-1;i>=(s);i-=(d)) #define RREP3(i,n,s) RREP4(i,n,s,1) #define RREP2(i,n) RREP3(i,n,0) #define RREP1(n) RREP2(tomato,n) #define RREP(...) overload4(__VA_ARGS__,RREP4,RREP3,RREP2,RREP1)(__VA_ARGS__) #define FOR4(a,b,c,d,v) for(auto [a,b,c,d]:v) #define FOR3(a,b,c,v) for(auto [a,b,c]:v) #define FOR2(a,b,v) for(auto [a,b]:v) #define FOR1(a,v) for(auto a:v) #define FOR(...) overload5(__VA_ARGS__,FOR4,FOR3,FOR2,FOR1)(__VA_ARGS__) #define AFOR4(a,b,c,d,v) for(auto&[a,b,c,d]:v) #define AFOR3(a,b,c,v) for(auto&[a,b,c]:v) #define AFOR2(a,b,v) for(auto&[a,b]:v) #define AFOR1(a,v) for(auto&a:v) #define AFOR(...) overload5(__VA_ARGS__,AFOR4,AFOR3,AFOR2,AFOR1)(__VA_ARGS__) #define CFOR4(a,b,c,d,v) for(const auto&[a,b,c,d]:v) #define CFOR3(a,b,c,v) for(const auto&[a,b,c]:v) #define CFOR2(a,b,v) for(const auto&[a,b]:v) #define CFOR1(a,v) for(const auto&a:v) #define CFOR(...) overload5(__VA_ARGS__,CFOR4,CFOR3,CFOR2,CFOR1)(__VA_ARGS__) #define PFOR(v) for(bool f=true; (f ? exchange(f,false) : next_permutation(ALL(v)));) #define ALL(v) v.begin(),v.end() #define RALL(v) v.rbegin(),v.rend() #define SORT(v) sort(ALL(v)) #define RSORT(v) sort(RALL(v)) #define REVERSE(v) reverse(ALL(v)) #define UNIQUE(v) SORT(v),v.erase(unique(ALL(v)),v.end()) #define SZ(v) int(v.size()) TYPES(T) void input(T&... a){ (cin>>...>>a); } #define DECLARE(T,...) T __VA_ARGS__;input(__VA_ARGS__); #define INT(...) DECLARE(int,__VA_ARGS__) #define STR(...) DECLARE(string,__VA_ARGS__) #define LL(...) DECLARE(long long,__VA_ARGS__) #define CHR(...) DECLARE(char,__VA_ARGS__) #define DBL(...) DECLARE(double,__VA_ARGS__) #define VI(n,v) vi v(n);cin>>v; #define VLL(n,v) vll v(n);cin>>v; #define VS(n,s) vector s(n);cin>>s; TYPE(T) istream&operator>>(istream&is,vector&v){ for(auto&a:v)cin>>a; return is; } TYPE(T) ostream&operator<<(ostream&os,const vector&v){ if(&os==&cerr)os<<"["; REP(i,v.size()){ os<>(istream&is,pair&p){ cin>>p.first>>p.second; return is; } #ifdef __DEBUG #include #else #define debug(...) void(0) #endif void print(){ cout << '\n'; } TYPES(T,Ts) void print(const T& a,const Ts&... b){ cout<; TYPE(T) using pqg=priority_queue,greater>; TYPE(T) T pick(queue& que){assert(que.size()); T a=que.front();que.pop();return a;} TYPE(T) T pick(pq& que){assert(que.size()); T a=que.top();que.pop();return a;} TYPE(T) T pick(pqg& que){assert(que.size()); T a=que.top();que.pop();return a;} TYPE(T) T pick(stack& sta){assert(sta.size()); T a=sta.top();sta.pop();return a;} TYPE(T) void clear(T&v){ v=decltype(v)(); } string YES(bool f=true){return (f?"YES":"NO");} string Yes(bool f=true){return (f?"Yes":"No");} string yes(bool f=true){return (f?"yes":"no");} constexpr int INF=1e9+7; constexpr ll LINF=ll(1e18)+7; constexpr ld EPS=1e-10; vi iota(int n){vi a(n);iota(ALL(a),0);return a;} TYPE(T) vector> query_sort(const vector&v){ vector> res(v.size()); REP(i,v.size())res[i]={v[i],i}; SORT(res); return res; } TYPE(T) void add(vector&v,T a=1){ AFOR(p,v)p+=a; } TYPE(T) T rev(T a){ REVERSE(a);return a; } TYPE(T) void fin(T a){cout<b&&(a=b,true));} TYPES(T,Ns) auto make_vector(T x,int n,Ns ...ns){ if constexpr(sizeof...(ns)==0)return vector(n,x); else return vector(n,make_vector(x,ns...)); } bool in(const ll S,const int a){return (S>>a)&1;} int popcount(const ll S){return __builtin_popcountll(S);} int digit(char c){ return (c>='0' and c<='9' ? c-'0' : -1);} ll sqrtll(ll a){ for(ll b=sqrt(a);b*b<=a;b++)if(b*b==a)return b; for(ll b=sqrt(a);b>=0 and b*b>=a;b--)if(b*b==a)return b; return -1; } #pragma endregion template #include #include using namespace atcoder; using mint=modint998244353; namespace atcoder{ ostream& operator<<(ostream &os,mint a){os<>(istream &is,mint &a){ long long b;is>>b;a=b; return is; } } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); INT(x,y); LL(t); INT(a,b,c,d); vector> f(1<<(x+1),vector(1<<(y+1),0)); f[0][0]=f[0][1]=f[1][0]=f.back()[0]=f[0].back()=1; REP(i,f.size())debug(f[i]); auto DFT=[](vector&f, bool flag){ int lg=0; while((1<>lg); if(flag)c=c.inv(); vector cs(1< x(1<>= 1; (x[r] >>= 1) |= 1<<(lg-1); mint a=f[l]; f[l] += f[r] * cs[x[l]]; (f[r] *= cs[x[r]]) += a; } for(auto&v:f)v/=f.size(); } else{ REP(h,lg) REP(S,1<>= 1; (x[r] >>= 1) |= 1<<(lg-1); mint a=f[l]; f[l] += f[r] * cs[x[l]]; (f[r] *= cs[x[r]]) += a; } } }; debug(f[0]); { int lg = 2; mint c = mint(3).pow(998244352>>lg); assert(c.pow(4) == 1 and c.pow(2) != 1); for(int i=0;i<4;i++){ mint res = 0; mint x = c.pow(i); for(int j=0;j<4;j++)res += f[0][j] * x.pow(j); debug(res); } } DFT(f[0],false); debug(f[0]); DFT(f[0],true); debug(f[0]); int n=f.size(),m=f[0].size(); REP(i,n)DFT(f[i],false); vector g(m,vector(n)); REP(i,n)REP(j,m)g[j][i]=f[i][j]; REP(j,m)DFT(g[j],false); REP(j,m)REP(i,n)g[j][i]=g[j][i].pow(t); REP(j,m)DFT(g[j],true); REP(j,m)REP(i,n)f[i][j]=g[j][i]; REP(i,n)DFT(f[i],true); REP(i,n)debug(f[i]); auto FF=[&](int X,int Y){ X %= 1<<(x+1); if(X<0)X+=1<<(x+1); Y %= 1<<(y+1); if(Y<0)Y+=1<<(y+1); return f[X][Y]; }; mint ans1 = FF(a-c, b-d); mint ans2 = FF((1<