#include using i32 = std::int32_t; using u32 = std::uint32_t; using i64 = std::int64_t; using u64 = std::uint64_t; using i128 = __int128_t; using u128 = __uint128_t; using isize = std::ptrdiff_t; using usize = std::size_t; class rep { struct Iter { usize itr; constexpr Iter(const usize pos) noexcept : itr(pos) {} constexpr void operator++() noexcept { ++itr; } constexpr bool operator!=(const Iter& other) const noexcept { return itr != other.itr; } constexpr usize operator*() const noexcept { return itr; } }; const Iter first, last; public: explicit constexpr rep(const usize first, const usize last) noexcept : first(first), last(std::max(first, last)) {} constexpr Iter begin() const noexcept { return first; } constexpr Iter end() const noexcept { return last; } }; template std::vector> factorize(T x) { assert(x > 0); std::vector> ret; for (T i = 2; i * i <= x; ++i) { if (x % i == 0) { ret.emplace_back(i, 0); while (x % i == 0) { ret.back().second++; x /= i; } } } if (x > 1) { ret.emplace_back(x, 1); } return ret; } constexpr u64 popcount(const u64 x) { return __builtin_popcountll(x); } template using Vec = std::vector; void C_main() { usize N, K; std::cin >> N >> K; Vec A(N); for (auto& x : A) { std::cin >> x; } Vec>> fct(N); for (auto i : rep(0, N)) { fct[i] = factorize(A[i]); } std::array make{}; std::set> res; for (auto set : rep(0, 1 << N)) { if (popcount(set) < K) { continue; } { u32 sum = 0; for (auto i : rep(0, N)) { if (set >> i & 1) { sum += A[i]; } } make[sum] = true; } { u32 cur = 1; std::map prod; for (auto i : rep(0, N)) { if (set >> i & 1) { if (cur <= 18 * 1000) { cur *= A[i]; } for (const auto [p, e] : fct[i]) { prod[p] += e; } } } if (cur <= 18 * 1000) { make[cur] = true; } else { res.insert(prod); } } } usize ans = res.size(); for (const auto x : make) { if (x) { ans += 1; } } std::cout << ans << '\n'; return; } int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); C_main(); return 0; }