#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; using mint = modint998244353; const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } struct PM { mint x, y; PM() :x(0), y(1) {} PM(int x, int y) :x(x), y(y) {} PM(mint x, mint y) :x(x), y(y) {} PM& operator+=(const PM& other) { mint nx = x * other.y + y * other.x; mint ny = y * other.y; (*this).x = nx; (*this).y = ny; return *this; } PM& operator+=(const mint& other) { return PM(*this) += PM(other, 1); } PM& operator-=(const PM& other) { mint nx = x * other.y - y * other.x; mint ny = y * other.y; (*this).x = nx; (*this).y = ny; return *this; } PM& operator-=(const mint& other) { return PM(*this) -= PM(other, 1); } PM& operator*=(const PM& other) { mint nx = x * other.x; mint ny = y * other.y; (*this).x = nx; (*this).y = ny; return *this; } PM& operator*=(const mint& other) { return PM(*this) *= PM(other, 1); } PM& operator/=(const PM& other) { mint nx = x * other.y; mint ny = y * other.x; (*this).x = nx; (*this).y = ny; return *this; } PM& operator/=(const mint& other) { return PM(*this) /= PM(other, 1); } PM operator+(const PM& other) const { return PM(*this) += other; } PM operator+(const mint& other) const { return PM(*this) += other; } PM operator-(const PM& other) const { return PM(*this) -= other; } PM operator-(const mint& other) const { return PM(*this) -= other; } PM operator*(const PM& other) const { return PM(*this) *= other; } PM operator*(const mint& other) const { return PM(*this) *= other; } PM operator/(const PM& other) const { return PM(*this) /= other; } PM operator/(const mint& other) const { return PM(*this) /= other; } void debug() { cout << x.val() << "/" << y.val() << endl; } mint get() { return x * (y.inv()); } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int c, x; cin >> c >> x; if (0 == x) { mint ans = (mint)1 / (c + 1); cout << ans.val() << endl; return 0; } if (x <= c) { mint ans = (mint)(x) / (x + 1); cout << ans.val() << endl; return 0; } vector dp(x - c + 1, vector(x + 1)); dp[0][0] = PM(1, 1); rep(i, x - c) { rep(j, x) { dp[i + 1][j + 0] += dp[i][j] * j * PM(1, c + i + 1); dp[i + 1][j + 1] += dp[i][j] * (c + i + 1 - j) *PM(1, c + i + 1); } } PM ans(0, 1); rep(i, x + 1) ans += dp[x - c][i] * (x - i) *PM(1, x - i + 1); //ans.debug(); cout << ans.get().val() << endl; return 0; }