#include <iostream> #include <string> #include <vector> #include <algorithm> #include <functional> #include <cmath> #include <iomanip> #include <stack> #include <queue> #include <numeric> #include <map> #include <unordered_map> #include <set> #include <fstream> #include <chrono> #include <random> #include <bitset> #include <atcoder/all> #define rep(i,n) for(int i=0;i<(n);i++) #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) ((int)(x).size()) #define pb push_back using ll = long long; using namespace std; template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; } template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; } ll gcd(ll a, ll b) {return b?gcd(b,a%b):a;} ll lcm(ll a, ll b) {return a/gcd(a,b)*b;} const ll mod = 998244353; vector<ll> fac(500000), finv(500000), inv(500000); void initcom(){ fac[0] = fac[1] = finv[0] = finv[1] = inv[1] = 1; for(int i=2; i<500000; 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; } } ll nCr(int n, int 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(){ int H,W; cin >> H >> W; initcom(); vector<ll> A(H+1,0); vector<ll> B(W+1,0); for(int i=1;i<=H;i++){ A[i] = nCr(i,2*i-H)*finv[i]%mod; } for(int i=1;i<=W;i++){ B[i] = nCr(i,2*i-W)*finv[i]%mod; } auto C = atcoder::convolution(A,B); ll ans = 0; for(int i=1;i<sz(C);i++){ ans += C[i]*fac[i]%mod; } cout << ans%mod << endl; return 0; }