//#pragma GCC optimize("Ofast") //#pragma GCC optimize("unroll-loops") #include using namespace std; using ll = long long; using pii = pair; template using V = vector; template using VV = V>; #define pb push_back #define eb emplace_back #define mp make_pair #define fi first #define se second #define rep(i, n) rep2(i, 0, n) #define rep2(i, m, n) for (int i = m; i < (n); i++) #define per(i, b) per2(i, 0, b) #define per2(i, a, b) for (int i = int(b) - 1; i >= int(a); i--) #define ALL(c) (c).begin(), (c).end() #define SZ(x) ((int)(x).size()) constexpr ll TEN(int n) { return (n == 0) ? 1 : 10 * TEN(n - 1); } template void chmin(T& t, const U& u) { if (t > u) t = u; } template void chmax(T& t, const U& u) { if (t < u) t = u; } template ostream& operator<<(ostream& os, const pair& p) { os << "(" << p.first << "," << p.second << ")"; return os; } template ostream& operator<<(ostream& os, const vector& v) { os << "{"; rep(i, v.size()) { if (i) os << ","; os << v[i]; } os << "}"; return os; } #ifdef LOCAL void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << " " << H; debug_out(T...); } #define debug(...) \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif template struct ModInt { using uint = unsigned int; using ull = unsigned long long; using M = ModInt; uint v; ModInt(ll _v = 0) { set_norm(_v % MOD + MOD); } M& set_norm(uint _v) { //[0, MOD * 2)->[0, MOD) v = (_v < MOD) ? _v : _v - MOD; return *this; } explicit operator bool() const { return v != 0; } explicit operator int() const { return v; } M operator+(const M& a) const { return M().set_norm(v + a.v); } M operator-(const M& a) const { return M().set_norm(v + MOD - a.v); } M operator*(const M& a) const { return M().set_norm(ull(v) * a.v % MOD); } M operator/(const M& a) const { return *this * a.inv(); } M& operator+=(const M& a) { return *this = *this + a; } M& operator-=(const M& a) { return *this = *this - a; } M& operator*=(const M& a) { return *this = *this * a; } M& operator/=(const M& a) { return *this = *this / a; } M operator-() const { return M() - *this; } M& operator++(int) { return *this = *this + 1; } M& operator--(int) { return *this = *this - 1; } M pow(ll n) const { if (n < 0) return inv().pow(-n); M x = *this, res = 1; while (n) { if (n & 1) res *= x; x *= x; n >>= 1; } return res; } M inv() const { ll a = v, b = MOD, p = 1, q = 0, t; while (b != 0) { t = a / b; swap(a -= t * b, b); swap(p -= t * q, q); } return M(p); } bool operator==(const M& a) const { return v == a.v; } bool operator!=(const M& a) const { return v != a.v; } friend ostream& operator<<(ostream& os, const M& a) { return os << a.v; } friend istream& operator>>(istream& in, M& x) { ll v_; in >> v_; x = M(v_); return in; } static uint get_mod() { return MOD; } }; using Mint = ModInt<998244353>; // depend on ModInt, must use NTT friendly mod template struct NumberTheoreticTransform { D root; V roots = {0, 1}; V rev = {0, 1}; int base = 1, max_base = -1; void init() { int mod = D::get_mod(); int tmp = mod - 1; max_base = 0; while (tmp % 2 == 0) { tmp /= 2; max_base++; } root = 2; while (true) { if (root.pow(1 << max_base).v == 1) { if (root.pow(1 << (max_base - 1)).v != 1) { break; } } root++; } } void ensure_base(int nbase) { if (max_base == -1) init(); if (nbase <= base) return; assert(nbase <= max_base); rev.resize(1 << nbase); for (int i = 0; i < (1 << nbase); ++i) { rev[i] = (rev[i >> 1] >> 1) + ((i & 1) << (nbase - 1)); } roots.resize(1 << nbase); while (base < nbase) { D z = root.pow(1 << (max_base - 1 - base)); for (int i = 1 << (base - 1); i < (1 << base); ++i) { roots[i << 1] = roots[i]; roots[(i << 1) + 1] = roots[i] * z; } ++base; } } void ntt(V& a, bool inv = false) { int n = a.size(); // assert((n & (n - 1)) == 0); int zeros = __builtin_ctz(n); ensure_base(zeros); int shift = base - zeros; for (int i = 0; i < n; i++) { if (i < (rev[i] >> shift)) { swap(a[i], a[rev[i] >> shift]); } } for (int k = 1; k < n; k <<= 1) { for (int i = 0; i < n; i += 2 * k) { for (int j = 0; j < k; j++) { D x = a[i + j]; D y = a[i + j + k] * roots[j + k]; a[i + j] = x + y; a[i + j + k] = x - y; } } } int v = D(n).inv().v; if (inv) { reverse(a.begin() + 1, a.end()); for (int i = 0; i < n; i++) { a[i] *= v; } } } V mul(V a, V b) { if (a.size() == 0 && b.size() == 0) return {}; int s = a.size() + b.size() - 1; int nbase = 1; while ((1 << nbase) < s) nbase++; int sz = 1 << nbase; a.resize(sz); b.resize(sz); ntt(a); ntt(b); for (int i = 0; i < sz; i++) { a[i] *= b[i]; } ntt(a, true); a.resize(s); return a; } }; // T : modint template void ntt_2d(VV& a, bool rev) { if (a.size() == 0) return; int h = a.size(), w = a[0].size(); NumberTheoreticTransform fft; fft.init(); if (!rev) { for (auto& v : a) { fft.ntt(v, false); } } rep(j, w) { V vh(h); rep(i, h) { vh[i] = a[i][j]; } fft.ntt(vh, rev); rep(i, h) { a[i][j] = vh[i]; } } if (rev) { for (auto& v : a) { fft.ntt(v, true); } } } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); 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); VV a(h, V(w)); a[0][0] = a[0][1] = a[1][0] = a[h - 1][0] = a[0][w - 1] = 1; ntt_2d(a, false); rep(i, h) rep(j, w) a[i][j] = a[i][j].pow(T); VV dp(h, V(w)); dp[A][B] = dp[h - A][w - B] = 1; dp[A][w - B] = dp[h - A][B] = -1; ntt_2d(dp, false); VV ans(h, V(w)); rep(i, h) { rep(j, w) { ans[i][j] = dp[i][j] * a[i][j]; } } ntt_2d(ans, true); cout << ans[C][D] << endl; return 0; }