#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; } 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, 0)); dp[0][0] = 1; vectorinv(x + 1); rep2(i, 1, x + 1)inv[i] = ((mint)i).inv(); rep(i, x - c) { rep(j, x) { dp[i + 1][j + 0] += dp[i][j] * j *inv[c + i + 1]; dp[i + 1][j + 1] += dp[i][j] * (c + i + 1 - j) *inv[c + i + 1]; } } mint ans = 0; rep(i, x + 1) { mint sub = dp[x - c][i]; sub *= x - i; sub *= inv[x - i + 1]; ans += sub; } cout << ans.val() << endl; return 0; }