#include using namespace std; using ll = long long; using pii = pair; using pll = pair; using vi = vector; using vl = vector; #define rep3(i, a, b, c) for (ll i = (a); i < (b); i += (c)) #define rep2(i, a, b) rep3(i, a, b, 1) #define rep1(i, n) rep2(i, 0, n) #define rep0(n) rep1(aaaaa, n) #define ov4(a, b, c, d, name, ...) name #define rep(...) ov4(__VA_ARGS__, rep3, rep2, rep1, rep0)(__VA_ARGS__) #define per(i, a, b) for (ll i = (a) - 1; i >= (b); i--) #define fore(e, v) for (auto&& e : v) #define all(a) begin(a), end(a) #define sz(a) (int)(size(a)) #define lb(v, x) (lower_bound(all(v), x) - begin(v)) #define eb emplace_back template bool chmin(T& a, const S& b) { return a > b ? a = b, 1 : 0; } template bool chmax(T& a, const S& b) { return a < b ? a = b, 1 : 0; } const int INF = 1e9 + 100; const ll INFL = 3e18 + 100; #define i128 __int128_t struct _ { _() { cin.tie(0)->sync_with_stdio(0), cout.tie(0); } } __; const int MOD=998244353; struct mod_fac{ vector fac,inv,invf; mod_fac (int n): fac(n),inv(n),invf(n){ fac[0]=fac[1]=1; inv[0]=inv[1]=1; invf[0]=invf[1]=1; for(int i=2;i0){ if(n&1)ret=ret*t%MOD; t=t*t%MOD; n/=2; } return ret; } void ch(ll &a,ll b){ a=(a+b)%MOD; } int main(){ int N,M; cin>>N>>M; mod_fac F(3'000'000); ll minv=modpow(F.comb(M+N,N)-N+MOD,MOD-2); ll ans=0; rep(i,1,M){ if(i*N>M)break; ch(ans,F.comb(M-i*N+N,N)); } ans=ans*minv%MOD; cout<