#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e){ cerr << e << endl; } template void debug(vector &v){ rep(i, v.size()){ cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v){ rep(i, v.size()){ rep(j, v[i].size()){ cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v){ rep(i,v.size()){ cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st){ for (auto itr = st.begin(); itr != st.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms){ for (auto itr = ms.begin(); itr != ms.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template void debug(map &mp){ for (auto itr = mp.begin(); itr != mp.end(); itr++){ cerr << itr->first << " " << itr->second << endl; } } void debug_out(){ cerr << endl; } template void debug_out(Head H, Tail... T){ cerr << H << " "; debug_out(T...); } ll my_pow(ll x, ll n, ll mod){ // 繰り返し二乗法.x^nをmodで割った余り. ll ret; if (n == 0){ ret = 1; } else if (n % 2 == 1){ ret = (x * my_pow((x * x) % mod, n / 2, mod)) % mod; } else{ ret = my_pow((x * x) % mod, n / 2, mod); } return ret; } ll inv(ll x, ll mod){ return my_pow(x, mod - 2, mod); } int main(){ ll H, W; cin >> H >> W; vl fact(500005, 0); fact[0] = 1; for (ll i = 0; i < 500003; i++){ fact[i + 1] = (fact[i] * (i + 1)) % mod2; } vl fact_inv(500005, 0); for (ll i = 0; i < 500004; i++){ fact_inv[i] = inv(fact[i], mod2); } auto comb = [fact, fact_inv](ll n, ll r){ ll ret; if (n < r){ ret = 0; } else if (r < 0){ ret = 0; } else{ ret = (fact[n] * ((fact_inv[n - r] * fact_inv[r]) % mod2)) % mod2; } return ret; }; vl h_vec(H + 1); vl w_vec(W + 1); for (ll i = 0; i <= H; i++){ h_vec[i] = comb(i, H - 2 * (H - i)); } for (ll i = 0; i <= W; i++){ w_vec[i] = comb(i, W - 2 * (W - i)); } //debug(h_vec); //debug(w_vec); for (ll i = 0; i <= H; i++){ h_vec[i] = (h_vec[i] * fact_inv[i]) % mod2; } for (ll i = 0; i <= W; i++){ w_vec[i] = (w_vec[i] * fact_inv[i]) % mod2; } vl conv = convolution<998244353>(h_vec, w_vec); ll ans = 0; for (ll i = 0; i <= H + W; i++){ ans = (ans + (conv[i] * fact[i]) % mod2) % mod2; } cout << ans << endl; }