#include #include #include #include using namespace atcoder; using namespace std; #define rep(i, a, n) for(ll i = a; i < n; i++) #define rrep(i, a, n) for(ll i = a; i >= n; i--) #define ll long long #define pii pair #define pll pair #define all(x) (x).begin(), (x).end() //constexpr ll MOD = 1000000007; constexpr ll MOD = 998244353; constexpr int IINF = 1001001001; constexpr ll INF = 1LL<<60; template void chmax(t&a,u b){if(a void chmin(t&a,u b){if(b fac(maxnum), inv(maxnum), finv(maxnum); void init_fac(){ fac[0] = fac[1] = 1; inv[1] = 1; finv[0] = finv[1] = 1; rep(i, 2, maxnum){ fac[i] = fac[i-1]*i%MOD; inv[i] = MOD-MOD/i*inv[MOD%i]%MOD; finv[i] = finv[i-1]*inv[i]%MOD; } } ll nCr(ll n, ll r){ if(n < 0 or n-r < 0 or r < 0) return 0; return fac[n]*(finv[n-r]*finv[r]%MOD)%MOD; } ll nHr(ll n, ll r){ return nCr(n+r-1, r); } int main() { init_fac(); ll n, m; cin >> n >> m; if(n == 1){ mint ans = (mint)(m-1)/2; cout << ans.val() << endl; return 0; } mint ans = 0; mint pre = 0; mint tmp = nCr(m+n,n)-n; mint mn = (mint)1/tmp; rrep(i,m-1,1){ if(i*n > m) continue; mint now = nCr(m-i*n+n,n); // cout << i << " " << (now-pre).val() << endl; ans += (now-pre)*mn; pre = now; } cout << ans.val() << endl; // cout << mn.val() << endl; return 0; }