//#define NDEBUG #include #include #include namespace n91 { using i8 = std::int_least8_t; using i32 = std::int_least32_t; using i64 = std::int_least64_t; using u8 = std::uint_least8_t; using u32 = std::uint_least32_t; using u64 = std::uint_least64_t; using isize = std::ptrdiff_t; using usize = std::size_t; class rep { const usize f, l; public: class itr { friend rep; usize i; constexpr itr(const usize x) noexcept : i(x) {} public: void operator++() noexcept { ++i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; constexpr rep(const usize first, const usize last) noexcept : f(first), l(last) {} constexpr itr begin() const noexcept { return itr(f); } constexpr itr end() const noexcept { return itr(l); } }; class revrep { const usize f, l; public: class itr { friend revrep; usize i; constexpr itr(usize x) noexcept : i(x) {} public: void operator++() noexcept { --i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; constexpr revrep(usize first, usize last) noexcept : f(--first), l(--last) {} constexpr itr begin() const noexcept { return itr(l); } constexpr itr end() const noexcept { return itr(f); } }; template using vec_alias = std::vector; template auto md_vec(const usize n, const T &value) { return std::vector(n, value); } template auto md_vec(const usize n, Args... args) { return std::vector(n, md_vec(args...)); } template constexpr T difference(const T &a, const T &b) { return a < b ? b - a : a - b; } } // namespace n91 #include #include namespace n91 { template class modint { using u32 = std::uint_least32_t; using u64 = std::uint_least64_t; using i64 = std::int_fast64_t; class optimize_tag_t {}; static constexpr optimize_tag_t optimize_tag{}; public: using value_type = u32; value_type a; private: static constexpr value_type cst(i64 x) noexcept { x %= static_cast(Modulus); if (x < static_cast(0)) { x += static_cast(Modulus); } return static_cast(x); } constexpr modint(optimize_tag_t, const value_type &x) noexcept : a(x) {} public: constexpr modint() noexcept : a(static_cast(0)) {} constexpr modint(const i64 &x) noexcept : a(cst(x)) {} constexpr value_type value() const noexcept { return a; } constexpr modint operator+(const modint &o) const noexcept { return modint(optimize_tag, a + o.a < Modulus ? a + o.a : a + o.a - Modulus); } constexpr modint operator-(const modint &o) const noexcept { return modint(optimize_tag, a < o.a ? a + Modulus - o.a : a - o.a); } constexpr modint operator*(const modint &o) const noexcept { return modint( optimize_tag, static_cast(static_cast(a) * static_cast(o.a) % static_cast(Modulus))); } constexpr modint operator/(const modint &o) const { return modint( optimize_tag, static_cast(static_cast(a) * static_cast((~o).a) % static_cast(Modulus))); } modint &operator+=(const modint &o) noexcept { if ((a += o.a) >= Modulus) a -= Modulus; return *this; } modint &operator-=(const modint &o) noexcept { if (a < o.a) a += Modulus; a -= o.a; return *this; } modint &operator*=(const modint &o) noexcept { a = static_cast(static_cast(a) * static_cast(o.a) % static_cast(Modulus)); return *this; } modint &operator/=(const modint &o) { a = static_cast(a) * (~o).a % Modulus; return *this; } constexpr modint inverse() const noexcept { assert(a != static_cast(0) && "0 does not have inverse"); return pow(static_cast(Modulus - static_cast(2))); } constexpr modint operator~() const noexcept { return inverse(); } constexpr modint operator-() const noexcept { if (a == static_cast(0)) { return modint(optimize_tag, static_cast(0)); } else { return modint(optimize_tag, Modulus - a); } } modint &operator++() noexcept { if (++a == Modulus) { a = static_cast(0); } return *this; } modint &operator--() noexcept { if (a == static_cast(0)) { a = Modulus; } --a; return *this; } constexpr bool operator==(const modint &o) const noexcept { return a == o.a; } constexpr bool operator!=(const modint &o) const noexcept { return a != o.a; } constexpr bool operator<(const modint &o) const noexcept { return a < o.a; } constexpr bool operator<=(const modint &o) const noexcept { return a <= o.a; } constexpr bool operator>(const modint &o) const noexcept { return a > o.a; } constexpr bool operator>=(const modint &o) const noexcept { return a >= o.a; } constexpr explicit operator bool() const noexcept { return a; } constexpr explicit operator value_type() const noexcept { return a; } modint pow(u64 x) const noexcept { u64 t = a, u = 1; while (x) { if (x & 1) u = u * t % Modulus; t = (t * t) % Modulus; x >>= 1; } return modint(optimize_tag, static_cast(u)); } }; } // namespace n91 #include #include #include #include namespace n91 { void main_() { static constexpr usize MaxN = 2000; u32 n, d; std::cin >> n >> d; std::array count = {}; u64 ans = 0; for (u32 x = 1;x <= n;++x) { for (u32 y = 1;y <= n;++y) { ++count[x*x + y*y]; } } for (u32 z = 1;z <= n;++z) { for (u32 w = 1;w <= n;++w) { if (z*z <= w*w + d) { ans += count[w*w + d - z*z]; } } } std::cout << ans << std::endl; } } // namespace n91 int main() { n91::main_(); return 0; }