#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define all(a) (a).begin(), (a).end() #define rep(i, n) for (ll i = 0; i < (n); i++) #define req(i, a, b) for (ll i = (a); i < (b); i++) #define pb push_back #define debug(x) cerr << __LINE__ << ' ' << #x << ':' << (x) << '\n' #define debug2(x, y) cerr << __LINE__ << ' ' << #x << ':' << (x) << ',' << #y << ':' << (y) << '\n' #define debug3(x, y, z) cerr << __LINE__ << ' ' << #x << ':' << (x) << ',' << #y << ':' << (y) << ',' << #z << ':' << (z) << '\n' #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") using namespace std; typedef long long ll; typedef unsigned int uint; typedef unsigned long long ull; typedef long double ld; template using P = pair; template using pri_s = priority_queue, greater>; template using pri_b = priority_queue; constexpr int inf = 1000000010; constexpr int inf2 = 2000000010; constexpr ll INF = 1000000000000000010; constexpr ll INF4 = 4000000000000000010; constexpr int mod1e9 = 1000000007; constexpr int mod998 = 998244353; constexpr ld eps = 1e-12; constexpr ld pi = 3.141592653589793238; constexpr ll ten(int n) { return n ? 10 * ten(n - 1) : 1; }; int dx[] = { 1,0,-1,0,1,1,-1,-1,0 }; int dy[] = { 0,1,0,-1,1,-1,1,-1,0 }; ll mul(ll a, ll b) { return (b != 0 && a > INF / b ? INF : a * b); } void fail() { cout << "-1\n"; exit(0); } void no() { cout << "No\n"; exit(0); } template void er(T a) { cout << a << '\n'; exit(0); } template inline bool chmax(T& a, const U& b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T& a, const U& b) { if (a > b) { a = b; return true; } return false; } template istream& operator >>(istream& s, vector& v) { for (auto& e : v) s >> e; return s; } template ostream& operator <<(ostream& s, const vector& v) { for (auto& e : v) s << e << ' '; return s; } template ostream& operator <<(ostream& s, const set& v) { for (auto& e : v) s << e << ' '; return s; } template ostream& operator <<(ostream& s, const multiset& v) { for (auto& e : v) s << e << ' '; return s; } template ostream& operator << (ostream& s, const pair& p) { s << p.first << ' ' << p.second; return s; } struct fastio { fastio() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(20); } }fastio_; constexpr ll mod = mod998; template class modint { public: int n; modint() : n(0) {}; modint(ll n_) { n = n_ % mod; if (n < 0) n += mod; } modint operator -() const { return n > 0 ? mod - n : -n; } bool operator == (const modint& m) const { return n == m.n; } bool operator != (const modint& m) const { return n != m.n; } modint& operator += (const modint& m) { n += m.n; if (n >= mod) n -= mod; return *this; } modint& operator -= (const modint& m) { n -= m.n; if (n < 0) n += mod; return *this; } modint& operator *= (const modint& m) { n = ll(n) * m.n % mod; return *this; } modint& operator /= (const modint& m) { n = ll(n) * modinv(m).n % mod; return *this; } modint operator +(modint m) const { return modint(*this) += m; } modint operator -(modint m) const { return modint(*this) -= m; } modint operator *(modint m) const { return modint(*this) *= m; } modint operator /(modint m) const { return modint(*this) /= m; } modint& operator ++ () { *this += 1; return *this; } modint operator ++ (int) { *this += 1; return *this - 1; } modint& operator -- () { *this -= 1; return *this; } modint operator -- (int) { *this -= 1; return *this + 1; } modint pow(ll b) const { modint res = 1, a = modint(*this); while (b) { if (b & 1) res *= a; a *= a; b >>= 1; } return res; } friend istream& operator >> (istream& s, modint& a) { s >> a.n; return s; } friend ostream& operator << (ostream& s, modint& a) { s << a.n; return s; } }; using mint = modint; vector fac, inv, facinv; mint modinv(mint x) { ll a = x.n; if (a == 0) abort(); if (a < (ll)inv.size()) return inv[a]; ll b = mod, u = 1, v = 0; while (b) { ll t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } mint res = u; return res; } void modcalc(int n) { fac.resize(n); inv.resize(n); facinv.resize(n); fac[0] = 1; fac[1] = 1; inv[1] = 1; facinv[0] = 1; facinv[1] = 1; for (ll i = 2; i < n; i++) { fac[i] = fac[i - 1] * i; inv[i] = -inv[mod % i] * (mod / i); facinv[i] = facinv[i - 1] * inv[i]; } } mint comb(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fac[n] * facinv[k] * facinv[n - k]; } mint perm(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fac[n] * facinv[n - k]; } mint hom(ll n, ll k) { if (n < 0 || k < 0 || n == 0 && k > 0) return 0; if (n == 0 && k == 0) return 1; return fac[n + k - 1] * facinv[k] * facinv[n - 1]; } mint f(ll n, ll x, ll y) { if (abs(x) + abs(y) > n) return 0; ll a = (x + y + n) / 2; ll b = (x - y + n) / 2; return comb(n, a) * comb(n, b); } bool is_square(ll n) { if (n < 0) return false; ll r = sqrtl(n); return r * r == n; } int main() { modcalc(2 * ten(6) + 10); ll n, m; cin >> n >> m; mint ans = 0; for (ll y = -ten(6); y <= ten(6); y++) { ll xx = y * y + m; if (is_square(xx)) { ll x = sqrtl(xx); ans += f(n, x, y); if (x != 0) ans += f(n, -x, y); } } ans /= mint(4).pow(n); cout << ans << '\n'; }