#include #include using namespace atcoder; using namespace std; using ll=long long; using ld=long double; ld pie=3.141592653589793; ll mod=998244353; ll inf=4000000000; const int MAX = 510000; const int MOD = mod; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(ll n, ll k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } int main(){ ll n,m; cin >> n >> m; COMinit(); ll ans=0; for (ll i = n-1+(1-n%2); i <=2*(m-1); i+=2) { ans+=COM(i,n-1); ans%=mod; } cout << ans << endl; }