#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(d,n) for(int d = 0; d < (int)(n); d++) #define rrep(d,n) for(int d = (int)(n) - 1; d >= 0; d--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; constexpr int FACT_SIZE = 20010; mint Fact[FACT_SIZE + 1]; mint iFact[FACT_SIZE + 1]; const auto fact_init = [] { Fact[0] = mint::raw(1); for(int d = 1; d <= FACT_SIZE; ++d) { Fact[d] = Fact[d-1] * d; } iFact[FACT_SIZE] = Fact[FACT_SIZE].inv(); for(int d = FACT_SIZE; d; --d) { iFact[d-1] = iFact[d] * d; } return false; }(); mint comb(int n, int k) { if (k == 0) return mint::raw(1); assert(n >= 0 && k >= 0); if (k > n) return mint::raw(0); return Fact[n] * iFact[n - k] * iFact[k]; } mint icomb(int n, int k) { return iFact[n] * Fact[n - k] * Fact[k]; } mint fact(int n) {return Fact[n];} mint perm(int n, int k) { assert(0 <= n); return Fact[n] * iFact[n - k]; } } int main() { ios::sync_with_stdio(false); cin.tie(0); int x, k; cin >> x >> k; mint p = mint(x) / 100; mint ans; mint pre; for (int d = 0; d <= k; d++) { mint v; for (int i = 0; i <= k; i += d + 2) { v += comb(2 * k, k + i); v -= comb(2 * k, k + i + d + 1); } for (int i = 0; i <= k; i += d + 2) { v -= comb(2 * k, k + i + 1); v += comb(2 * k, k + i + d + 2); } ans += d * (v - pre); pre = v; } ans *= (p * (1 - p)).pow(k); cout << ans.val() << '\n'; }