#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>> using mint = modint998244353; 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 N, M; cin >> N >> M; vector fact(N + 1); fact[0] = 1; for (ll i = 0; i < N; i++) { fact[i + 1] = (fact[i] * (i + 1)) % mod2; } vector inv_val(N + 1); inv_val[0] = 1; inv_val[1] = 1; for (ll i = 2; i <= N; i++) { inv_val[i] = (inv_val[mod2 % i] * (mod2 - mod2 / i)) % mod2; } vector fact_inv(N + 1); fact_inv[0] = 1; for (ll i = 0; i < N; i++) { fact_inv[i + 1] = (fact_inv[i] * inv_val[i + 1]) % mod2; } auto comb = [&fact, &fact_inv](ll n, ll r) { ll ret; if (r < 0) { ret = 0; } else if (r > n) { ret = 0; } else { ret = (fact[n] * fact_inv[n - r]) % mod2; ret = (ret * fact_inv[r]) % mod2; } return ret; }; ll ans = 0; // X+1 方向に進む回数を全探索する for (ll i = 0; i <= N; i++) { ll dest_x = i - (N - i); ll comb_x = comb(N, i); if (dest_x == 0) { if (M == 0) { ans += (comb_x * my_pow(2LL, N, mod2)) % mod2; ans %= mod2; } else { continue; } } else { if (abs(M) % abs(dest_x) != 0) { continue; } ll dest_y = M / dest_x; if ((N + dest_y) % 2 == 1) { continue; } ll times_y = (N + dest_y) / 2; if (times_y < 0 || times_y > N) { continue; } ll comb_y = comb(N, times_y); ans += (comb_x * comb_y) % mod2; ans %= mod2; } } // debug(ans); ans = (ans * inv(my_pow(4, N, mod2), mod2)) % mod2; cout << ans << endl; }