#ifndef DEBUG #pragma GCC optimize("Ofast,unroll-loops") #pragma GCC target("tune=native") #endif #include #include using namespace std; using namespace atcoder; using ll = long long; using mint = modint998244353; // using mint = modint1000000007; template using vec = vector; template using pr = pair; template using mipq = priority_queue, greater>; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(i, n) for (auto i = decay_t{}; i < (n); i++) #define rep2(i, l, r) for (auto i = (l); i < (r); i++) #define rep3(i, l, r, d) for (auto i = (l); i < (r); i += (d)) #define rep(...) overload4(__VA_ARGS__, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i, r, l) for (auto i = (r); i >= (l); i--) template bool chmax(T& a, const T& b) { return a < b ? a = b, true : false; } template bool chmin(T& a, const T& b) { return a > b ? a = b, true : false; } constexpr int INF = 1 << 30; constexpr ll LINF = 1LL << 60; void solve(); int main() { cin.tie(nullptr)->sync_with_stdio(false); cout << fixed << setprecision(15); int T = 1; // cin >> T; while (T--) solve(); } vec> mat_mul(const vec>& a, const vec>& b) { int n = a.size(); vec res(n, vec(n)); rep(i, n) rep(k, n) rep(j, n) res[i][j] += a[i][k] * b[k][j]; return res; } vec> mat_pow(vec> a, ll k) { int n = a.size(); vec res(n, vec(n)); rep(i, n) res[i][i] = 1; while (k) { if (k & 1) res = mat_mul(res, a); a = mat_mul(a, a); k >>= 1; } return res; } void solve() { int H, W, SX, SY, GX, GY; ll K; cin >> H >> W >> SX >> SY >> GX >> GY >> K; SX--; SY--; GX--; GY--; int S = SX * W + SY, G = GX * W + GY, L = H * W; auto moveable = [&] (int s, int t) { int si = s / W, sj = s % W, ti = t / W, tj = t % W; return s != t and (si == ti or sj == tj or si + sj == ti + tj or si - sj == ti - tj); }; vec dp(L, vec(1 << L, vec(L))); vec mat(L, vec(L)); rep(s, L) { rep(i, L) if (moveable(s, i)) dp[s][1 << i][i] = 1; rep(bit, 1 << L) rep(i, L) if (bit >> i & 1) { if (dp[s][bit][i] == 0) continue; rep(j, L) if (not (bit >> j & 1) and moveable(i, j)) { dp[s][bit | 1 << j][j] += dp[s][bit][i]; } } rep(i, L) mat[s][i] = dp[s][(1 << L) - 1][i]; } mat = mat_pow(mat, K / L); K %= L; mint res = 0; rep(i, L) rep(bit, 1U << L) if (bit >> G & 1 and popcount(bit) == K) { res += mat[S][i] * dp[i][bit][G]; } cout << res.val() << '\n'; }