#include #include #include using namespace std; class Comb { int siz, mod; std::vector _fac, _inv, _finv; public: // 引数は (mod) Comb(int m) : mod(m), siz(2) { _fac.resize(siz); _inv.resize(siz); _finv.resize(siz); _fac[0] = _fac[1] = _inv[1] = _finv[0] = _finv[1] = 1; } long long p(int n, int k) { if (n < k || k < 0) return 0; resize(n + 1); return _fac[n] * _finv[n - k] % mod; } long long c(int n, int k) { if (n < k || k < 0) return 0; resize(n + 1); return _fac[n] * _finv[k] % mod * _finv[n - k] % mod; } long long inv(int n) { resize(n + 1); if (n < 0) return 0; else return _inv[n]; } long long fac(int n) { resize(n + 1); if (n < 0) return 0; else return _fac[n]; } long long finv(int n) { resize(n + 1); if (n < 0) return 0; else return _finv[n]; } private: void resize(int n) { if (n <= siz) return; for (int i = siz; i < n; ++i) { _fac.push_back((long long)i * _fac[i - 1] % mod); _inv.push_back(mod - _inv[mod % i] * (mod / i) % mod); _finv.push_back(_finv[i - 1] * _inv[i] % mod); } siz = n; } }; int main() { const int mod = 998244353; int n, m; cin >> n >> m; vector a(n), b(n + 1); for (int i = 0; i < n; ++i) cin >> a[i]; b[0] = a[0]; b[n] = a[n - 1]; int siz = n + 1; for (int i = 1; i < n; ++i) b[i] = (a[i - 1] ^ a[i]); vector dp(siz + 1); int cnt = 0; for (int i = 0; i <= n; ++i) cnt += (b[i] == 0); dp[cnt] = 1; Comb cb(mod); for (int i = 0; i < m; ++i) { vector ndp(siz + 1); for (int j = 0; j <= siz; ++j) { if (j - 2 >= 0) ndp[j - 2] = (ndp[j - 2] + cb.c(j, 2) * dp[j]) % mod; ndp[j] = (ndp[j] + dp[j] * j % mod * (siz - j)) % mod; if (j + 2 <= siz) ndp[j + 2] = (ndp[j + 2] + cb.c(siz - j, 2) * dp[j]) % mod; } swap(dp, ndp); } cout << dp[n + 1] << endl; }