#include #include #include #include #include #include #include #include #include using i64 = long long; using u64 = unsigned long long; #define rep(i,n) for(int i=0; i=0; i--) using Modint = atcoder::static_modint<998244353>; namespace nachia{ template class Comb{ private: std::vector F; std::vector iF; public: void extend(int newN){ int prevN = (int)F.size() - 1; if(prevN >= newN) return; F.resize(newN+1); iF.resize(newN+1); for(int i=prevN+1; i<=newN; i++) F[i] = F[i-1] * Modint::raw(i); iF[newN] = F[newN].inv(); for(int i=newN; i>prevN; i--) iF[i-1] = iF[i] * Modint::raw(i); } Comb(int n = 1){ F.assign(2, Modint(1)); iF.assign(2, Modint(1)); extend(n); } Modint factorial(int n) const { return F[n]; } Modint invFactorial(int n) const { return iF[n]; } Modint invOf(int n) const { return iF[n] * F[n-1]; } Modint comb(int n, int r) const { if(n < 0 || n < r || r < 0) return Modint(0); return F[n] * iF[r] * iF[n-r]; } Modint invComb(int n, int r) const { if(n < 0 || n < r || r < 0) return Modint(0); return iF[n] * F[r] * F[n-r]; } Modint perm(int n, int r) const { if(n < 0 || n < r || r < 0) return Modint(0); return F[n] * iF[n-r]; } Modint invPerm(int n, int r) const { if(n < 0 || n < r || r < 0) return Modint(0); return iF[n] * F[n-r]; } Modint operator()(int n, int r) const { return comb(n,r); } }; } // namespace nachia using namespace std; void testcase(){ int H, W; cin >> H >> W; auto comb = nachia::Comb(H+W); if(H == 1 || W == 1){ cout << "1\n"; return; } Modint ans = 0; auto f = [&](i64 k) -> Modint { if(k > i64(H) * W) return 0; return Modint(2).pow(i64(H)*W - k); }; for(int K=0; K<=W-1; K++){ auto x = comb(W-1, K); auto a = comb(H-2, K); auto b = comb(H-2, K-1); ans += x * a * f(H+W-1+K*2-0); ans += x * b * f(H+W-1+K*2-1); } cout << ans.val() << endl; } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); testcase(); return 0; }