#include //#include //#pragma GCC optimize("Ofast") using namespace std; #define reps(i,s,n) for(int i = s; i < n; i++) #define rep(i,n) reps(i,0,n) #define Rreps(i,n,e) for(int i = n - 1; i >= e; --i) #define Rrep(i,n) Rreps(i,n,0) #define ALL(a) a.begin(), a.end() #define fi first #define se second using ll = long long; using vec = vector; using mat = vector; ll N,M,H,W,Q,K,A,B; string S; typedef pair P; const ll INF = (1LL<<58); template class modint{ public: ll x; constexpr modint(){x = 0;} constexpr modint(ll _x) : x((_x < 0 ? ((_x += (LLONG_MAX / mod) * mod) < 0 ? _x + (LLONG_MAX / mod) * mod : _x) : _x)%mod){} constexpr modint set_raw(ll _x){ //_x in [0, mod) x = _x; return *this; } constexpr modint operator-(){ return x == 0 ? 0 : mod - x; } constexpr modint& operator+=(const modint& a){ if((x += a.x) >= mod) x -= mod; return *this; } constexpr modint operator+(const modint& a) const{ return modint(*this) += a; } constexpr modint& operator-=(const modint& a){ if((x -= a.x) < 0) x += mod; return *this; } constexpr modint operator-(const modint& a) const{ return modint(*this) -= a; } constexpr modint& operator*=(const modint& a){ (x *= a.x)%=mod; return *this; } constexpr modint operator*(const modint& a) const{ return modint(*this) *= a; } constexpr modint pow(unsigned long long pw) const{ modint res(1), comp(*this); while(pw){ if(pw&1) res *= comp; comp *= comp; pw >>= 1; } return res; } //以下、modが素数のときのみ constexpr modint inv() const{ if(x == 2) return (mod + 1) >> 1; return modint(*this).pow(mod - 2); } constexpr modint& operator/=(const modint &a){ (x *= a.inv().x)%=mod; return *this; } constexpr modint operator/(const modint &a) const{ return modint(*this) /= a; } }; #define mod1 998244353 using mint = modint; ostream& operator<<(ostream& os, const mint& a){ os << a.x; return os; } using vm = vector; class NTT{ const int root; void make_root_pow(int n, vm &root_pow){ root_pow.resize(n + 1); mint new_root = mint(root).pow((mod1 - 1) / n); root_pow[0].x = 1; rep(i,n){ root_pow[i + 1] = root_pow[i] * new_root; } } static void make_bit_reverse(int n, vector &v){ v.resize(n); iota(ALL(v), 0); for(int i = 1; (1<> i; for(int j = l; j < r; ++j){ int temp = v[j - l] + plus; if(j < temp) swap(v[j], v[temp]); } } } static void dft(int n, vm &f, bool inv, vm &root_pow, vector &id){ vm g(n); rep(i,n) g[i] = f[id[i]]; swap(f, g); for(int l = n / 2, len = 1; l >= 1; l /= 2, len *= 2){ for(int i = 0; i < n; i += len * 2){ rep(j, len){ mint z_f = (inv ? root_pow[n - l * j] : root_pow[l * j]) * f[i + len + j]; g[i + j] = f[i + j] + z_f; g[i + len + j] = f[i + j] - z_f; } } swap(f, g); } if(inv) { mint n_inv = mint(n).inv(); rep(i, n) f[i] *= n_inv; } } public: NTT(int _x = 3) : root(_x){} void dft_2D(int n, int m, vector &a, bool inv){ //簡単に、書き換える形で //aがn×mサイズであることや、n,mが2冪であることは仮定 vm root_pow; vector id; make_root_pow(m, root_pow); make_bit_reverse(m, id); rep(i, n){ dft(m, a[i], inv, root_pow, id); } make_root_pow(n, root_pow); make_bit_reverse(n, id); rep(j, m){ vm temp(n); rep(i, n) temp[i] = a[i][j]; dft(n, temp, inv, root_pow, id); rep(i, n) a[i][j] = temp[i]; } } vm convolution(vm &a, vm &b, int size_a = INT_MAX, int size_b = INT_MAX){ if(size_a > (int)a.size()) size_a = (int)a.size(); if(size_b > (int)b.size()) size_b = (int)b.size(); int sz = size_a + size_b - 1, n = 1; while(sz > n) n *= 2; vm g(n), h(n), root_pow, gh(n); vector id; copy(a.begin(), a.begin() + size_a, g.begin()); copy(b.begin(), b.begin() + size_b, h.begin()); make_root_pow(n, root_pow); make_bit_reverse(n, id); dft(n, g, false, root_pow, id); dft(n, h, false, root_pow, id); rep(i, n) gh[i] = g[i] * h[i]; dft(n, gh, true, root_pow, id); gh.resize(sz); return gh; } }; vector dp, f; int X, Y, a, b, c, d, n, m; ll T; int main() { cin>>X>>Y>>T>>a>>b>>c>>d; n = 1<<(X + 1); m = 1<<(Y + 1); dp.resize(n); f.resize(n); rep(i, n){ dp[i].resize(m); f[i].resize(m); } dp[a][b] = dp[n - a][m - b] = 1; dp[a][m - b] = dp[n - a][b] = - 1; f[0][0] = f[0][1] = f[1][0] = f[n - 1][0] = f[0][m - 1] = 1; NTT ntt; ntt.dft_2D(n, m, dp, false); ntt.dft_2D(n, m, f, false); rep(i, n) rep(j, m) dp[i][j] *= f[i][j].pow(T); ntt.dft_2D(n, m, dp, true); cout<