/* Problem URL: https://codeforces.com/gym/106054/problem/B */ #include #include #include using namespace std; using namespace __gnu_pbds; template > using ordered_set = tree; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, k; cin >> n >> k; const ll mod = 998244353; auto fpow = [&](ll a, ll p) { ll ans = 1; rep(i, 31) { if ((p >> i) & 1) { ans *= a; ans %= mod; } a *= a; a %= mod; } return ans; }; auto comb = [&](ll n, ll k) { ll ans = 1; ll div = 1; rep(i, k) { ans *= (n - i); ans %= mod; div *= (i + 1); div %= mod; } return (ans * fpow(div, mod - 2)) % mod; }; vl b(n - k + 1); cin >> b; ll ans = b[0]; rep(i, k) { ll m = 0; ll tmp = 0; for (int j = i; j + 1 < b.size(); j += k) { m += b[j] - b[j + 1]; rmax(tmp, m); } ans -= tmp; } if (ans < 0) { cout << "0\n"; return 0; } cout << comb(ans + k - 1, k - 1) << '\n'; }