#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include constexpr long long int MOD{ 998244353 }; int main() { int n, m; std::cin >> n >> m; std::vector factorial(m + 1, 1), div(m + 1, 1), inv(m + 1, 1); for (auto i = 2; i <= m; ++i) { factorial[i] = i * factorial[i - 1] % MOD; div[i] = (MOD - MOD / i) * div[MOD % i] % MOD; inv[i] = div[i] * inv[i - 1] % MOD; } const auto combination = [&factorial, &inv](const int n, const int r) {return factorial[n] * inv[r] % MOD * inv[n - r] % MOD; }; if (n > m || n == 1) { std::cout << "1\n"; return 0; } else { long long int result{ 0 }; for (auto i = 0; i <= m / n; ++i) { const auto j = m - i * n; const auto pattern = combination(i + j, i); result = (result + pattern) % MOD; } std::cout << result << '\n'; } }