#include using namespace std; const long long MOD = 998244353; const long long HALF = 499122177; int main(){ int N; long long M; cin >> N >> M; vector inv(N + 1); inv[1] = 1; for (int i = 2; i <= N; i++){ inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; } vector fact(N + 1), finv(N + 1); fact[0] = 1; finv[0] = 1; for (int i = 1; i <= N; i++){ fact[i] = fact[i - 1] * i % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } long long P = 1; for (int i = 0; i < N * 2; i++){ P *= HALF; P %= MOD; } long long ans = 0; for (long long Y = -N; Y <= N; Y++){ long long XX = Y * Y + M; long long tv = 0, fv = 2000000; while (fv - tv > 1){ long long mid = (tv + fv) / 2; if (mid * mid <= XX){ tv = mid; } else { fv = mid; } } if (XX == tv * tv){ long long X = tv; long long S = X + Y; long long D = X - Y; if ((N - S) % 2 == 0 && (N - D) % 2 == 0){ if (-N <= S && S <= N && -N <= D && D <= N){ long long add = P; add *= fact[N] * finv[(N + S) / 2] % MOD * finv[(N - S) / 2] % MOD; add %= MOD; add *= fact[N] * finv[(N + D) / 2] % MOD * finv[(N - D) / 2] % MOD; add %= MOD; if (X > 0){ add *= 2; add %= MOD; } ans += add; } } } } ans %= MOD; cout << ans << endl; }