#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...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } int main(){ ll L = 3001; vector> comb(L + 1, vector(L + 1)); for (ll i = 0; i <= L; i++){ comb[i][0] = mint(1); comb[i][i] = mint(1); } for (ll i = 2; i <= L; i++){ for (ll j = 1; j < i; j++){ comb[i][j] = comb[i - 1][j - 1] + comb[i - 1][j]; } } ll N, M; cin >> N >> M; vector> dp(N, vector(2)); for (ll i = 0; i < M; i++){ dp[0][i % 2] += comb[M - 1][i]; } for (ll i = 0; i < N - 1; i++){ for (ll j = 0; j < M; j++){ // 左も右も使わない または 左も右も使う場合 dp[i + 1][j % 2] += dp[i][j % 2] * comb[M - 1][j] * mint(2); // 片方だけを使う場合 dp[i + 1][j % 2] += dp[i][(j + 1) % 2] * comb[M - 1][j] * mint(2); } } mint ans = mint(0); for (ll i = 0; i < 2; i++){ ans += dp[N - 1][i]; } cout << ans.val() << endl; }