#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; } }; long long pow(long long a, long long k, long long m) { long long ret = 1; for (a %= m; k > 0; k >>= 1, a = a * a % m) if (k & 1) ret = ret * a % m; return ret; } int main() { const int mod = 998244353; int x, k; cin >> x >> k; --k; Comb cb(mod); vector cnt(k + 1); long long inv = pow(100, mod - 2, mod); for (int i = 0; i <= k; ++i) { int tmp = k + 3 - i; for (int j = -k; j <= k; ++j) cnt[i] = (cnt[i] + cb.c(2 * k, k + j * tmp) - cb.c(2 * k, i - 1 + j * tmp) + mod) % mod; } long long ans = 1; for (int i = 0; i < k; ++i) ans = (ans + (cnt[i] - cnt[i + 1] + mod) * (k - i + 1)) % mod; long long p = x * pow(100, mod - 2, mod) % mod; ans = ans * pow(p, k + 1, mod) % mod * pow(mod + 1 - p, k + 1, mod) % mod; cout << ans << endl; }