#include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; class range {private: struct I{int x;int operator*(){return x;}bool operator!=(I& lhs){return x ostream& operator<<(ostream& os, const pair& p){ return os << "{" << p.first << ", " << p.second << "}"; } template ostream& operator<<(ostream& os, const vector& obj) { os << "{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const set& obj) { os << "set{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const map& obj) { os << "map{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template void take(vector& vec, int n) { vec.resize(n); for (int i = 0; i < n; ++i) cin >> vec[i]; } #ifdef ONLINE_JUDGE #define dump(expr) ; #else #define dump(expr) { cerr << "\033[33m#L" << __LINE__ << ": " << expr << "\033[39m" << endl; } #endif namespace solver { template struct In2 { T1 a; T2 b; friend std::istream& operator>>(std::istream& is, In2& obj) { T1 t1; T2 t2; is >> t1 >> t2; obj = {t1, t2}; return is; } }; template struct In3 { T1 a; T2 b; T3 c; friend std::istream& operator>>(std::istream& is, In3& obj) { T1 t1; T2 t2; T3 t3; is >> t1 >> t2 >> t3; obj = {t1, t2, t3}; return is; } }; ll n, m; void read() { cin >> n >> m; } ll sq(ll x) { return x * x; } void expe() { map> mp; ll tot = 0; for (ll a : range(m + 1)) for (ll b : range(m + 1)) if (sq(a + b) + sq(a) + sq(b) <= 2 * n) { mp[a + b].push_back(sq(a) + sq(b)); tot++; } dump(tot); for (auto& p : mp) ranges::sort(p.second); } using RetType = void; RetType run() { int val[2][2][2]; val[0][0][0] = 24; val[1][0][0] = 24 / 2; val[0][1][0] = 24 / 2; val[0][0][1] = 24 / 2; val[1][1][0] = 24 / 6; val[0][1][1] = 24 / 6; val[1][0][1] = 24 / 4; val[1][1][1] = 24 / 24; vector res(n + 1); for (int a = 0; a <= m; ++a) { int t1 = a * a; if (t1 > n) break; for (int b = a; b <= m; ++b) { int s2 = a + b; int t2 = t1 + b * s2; int eq2 = a == b; if (t2 > n) break; for (int c = b; c <= m; ++c) { int s3 = s2 + c; int t3 = t2 + c * s3; int eq3 = b == c; if (t3 > n) break; for (int d = c; d <= m; ++d) { int s4 = s3 + d; int t4 = t3 + d * s4; int eq4 = c == d; if (t4 > n) break; // dump(a << " " << b << " " << c << " " << d); // dump(t4 << " <- " << eq2 << eq3 << eq4) res[t4] += val[eq2][eq3][eq4]; } } } } for (int i : range(n + 1)) dump(i << " : " << res[i]); for (int i : range(n + 1)) cout << res[i] << endl; /* { for (ll a = 0, sqa = 0; a <= m; ++a, sqa = a * a) { if (sq(a) + sqa > 2 * n) break; for (ll b = a, sb = b + a, sqb = sqa + b * b; b <= m; b++, sb = a + b, sqb = sqa + b * b) { if (sq(sb) + sqb > 2 * n) break; for (ll c = b, sc = sb + c, sqc = sqb + c * c; c <= m; c++, sc = sb + c, sqc = sqb + c * c) { if (sq(sc) + sqc > 2 * n) break; for (ll d = c, sd = sc + d, sqd = sqc + d * d; d <= m; d++, sd = sc + d, sqd = sqc + d * d) { if (sq(sd) + sqd > 2 * n) break; res[(sq(sd) + sqd) >> 1]++; } } } } dump(tot); } */ } } // namespace template void run(F f) { if constexpr (std::is_same_v) f(); else cout << f() << endl; } int main(int argc, char** argv) { cerr << fixed << setprecision(12); cout << fixed << setprecision(12); int testcase = 1; if (argc > 1) testcase = atoi(argv[1]); while (testcase--) { solver::read(); } run(solver::run); }