#include #include #include using namespace std; #include using mint = atcoder::modint998244353; template struct acl_fac { std::vector facs, facinvs; acl_fac(int N) { assert(-1 <= N and N < modint::mod()); facs.resize(N + 1, 1); for (int i = 1; i <= N; i++) facs[i] = facs[i - 1] * i; facinvs.assign(N + 1, facs.back().inv()); for (int i = N; i > 0; i--) facinvs[i - 1] = facinvs[i] * i; } modint ncr(int n, int r) const { if (n < 0 or r < 0 or n < r) return 0; return facs[n] * facinvs[r] * facinvs[n - r]; } modint operator[](int i) const { return facs[i]; } modint finv(int i) const { return facinvs[i]; } }; acl_fac fac(1000000); int main() { int X, Y; cin >> X >> Y; if (X > Y) swap(X, Y); int K = Y - X; mint ret = 0; mint pow2 = 1; // 2^i for (int i = 0; i <= X; ++i) { // i: (# of AA) + (# of BB) for (int j = 0; i + j <= X; ++j) { // j: (# of AB) int k = j + K; // k: (# of BA) ret += fac.ncr(i + j + k, i) * fac.ncr(j + k, j) * pow2; } pow2 *= 2; } cout << ret.val() << '\n'; }