//#define NDEBUG #include #include #include namespace n91 { using i8 = std::int_fast8_t; using i32 = std::int_fast32_t; using i64 = std::int_fast64_t; using u8 = std::uint_fast8_t; using u32 = std::uint_fast32_t; using u64 = std::uint_fast64_t; using isize = std::ptrdiff_t; using usize = std::size_t; constexpr usize operator"" _z(unsigned long long x) noexcept { return static_cast(x); } 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 #include #include namespace n91 { void main_() { u64 n, k, m; std::cin >> n >> k >> m; struct factor { u64 p; u64 k; }; std::vector fs; for (u64 i = static_cast(2); i * i <= n; ++i) { if (n % i == static_cast(0)) { fs.push_back({i, static_cast(0)}); while (n % i == static_cast(0)) { n /= i; fs.back().k += k; } } } if (n != static_cast(1)) { fs.push_back({n, k}); } const auto f = [&](const auto &f, const usize i, u64 acc) { if (i == fs.size()) { return 1_z; } usize ret = 0_z; for (u64 j = static_cast(0); j <= fs[i].k && acc <= m; ++j) { ret += f(f, i + 1_z, acc); acc *= fs[i].p; } return ret; }; std::cout << f(f, 0_z, static_cast(1)) << std::endl; } } // namespace n91 int main() { n91::main_(); return 0; }