#if __INCLUDE_LEVEL__ == 0 #include __BASE_FILE__ namespace { void solve() { Int n; scan(n); Map f; for (p : kactl::factor(n)) { ++f[p]; } Vec pre(2, Vec(60, Vec(60, Vec(60)))); for (t : rep(2)) { pre[t][0][0][t] = 1; for (L : rep(59)) { for (s : rep(60)) { for (x : rep(60)) { Int cur = pre[t][L][s][x]; if (cur == 0) { continue; } for (y : rep(x, 60)) { if (60 <= s + y) { break; } pre[t][L + 1][s + y][y] += cur; } } } } } Vec pre2(2, Vec(60, Vec(60))); for (L : rep(60)) { for (s : rep(60)) { for (x : rep(60)) { pre2[0][L][s] += pre[0][L][s][x] - pre[1][L][s][x]; pre2[1][L][s] += pre[1][L][s][x]; } } } Int ans = 0; for (L : rep(1, 60)) { Arr a{}; a[0] = 1; for (e : f | views::values) { Arr b{}; for (i : rep(2)) { for (t : rep(2)) { b[i | t] += a[i] * pre2[t][L][e]; } } a = b; } ans += a[1]; } print(ans); } } // namespace int main() { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); std::cout << std::setprecision(std::numeric_limits::max_digits10); solve(); } #else // __INCLUDE_LEVEL__ #include // https://github.com/kth-competitive-programming/kactl namespace kactl { using namespace std; #define all(x) begin(x), end(x) typedef long long ll; typedef pair pii; typedef vector vi; typedef unsigned long long ull; ull modmul(ull a, ull b, ull M) { ll ret = a * b - M * ull(1.L / M * a * b); return ret + M * (ret < 0) - M * (ret >= (ll)M); } ull modpow(ull b, ull e, ull mod) { ull ans = 1; for (; e; b = modmul(b, b, mod), e /= 2) if (e & 1) ans = modmul(ans, b, mod); return ans; } bool isPrime(ull n) { if (n < 2 || n % 6 % 4 != 1) return (n | 1) == 3; ull A[] = {2, 325, 9375, 28178, 450775, 9780504, 1795265022}, s = __builtin_ctzll(n - 1), d = n >> s; for (ull a : A) { ull p = modpow(a % n, d, n), i = s; while (p != 1 && p != n - 1 && a % n && i--) p = modmul(p, p, n); if (p != n - 1 && i != s) return 0; } return 1; } ull pollard(ull n) { ull x = 0, y = 0, t = 30, prd = 2, i = 1, q; auto f = [&](ull x) { return modmul(x, x, n) + i; }; while (t++ % 40 || __gcd(prd, n) == 1) { if (x == y) x = ++i, y = f(x); if ((q = modmul(prd, max(x, y) - min(x, y), n))) prd = q; x = f(x), y = f(f(y)); } return __gcd(prd, n); } vector factor(ull n) { if (n == 1) return {}; if (isPrime(n)) return {n}; ull x = pollard(n); auto l = factor(x), r = factor(n / x); l.insert(l.end(), all(r)); return l; } #undef all } // namespace kactl using Int = int64_t; using Float = double; using Str = std::string; template using Pair = std::pair; template using Tuple = std::tuple; template using Arr = std::array; template using Vec = std::vector; template using Set = std::set; template using Multiset = std::multiset; template using Map = std::map; template using MinHeap = std::priority_queue, std::greater>; template using MaxHeap = std::priority_queue; namespace ranges = std::ranges; namespace views = std::views; inline constexpr auto len = ranges::ssize; inline constexpr auto rev = views::reverse; constexpr auto rep(Int l, Int r) { return views::iota(std::min(l, r), r); } constexpr auto rep(Int n) { return rep(0, n); } constexpr auto rep1(Int l, Int r) { return rep(l, r + 1); } constexpr auto rep1(Int n) { return rep(1, n + 1); } template bool chmin(T& x, U&& y) { return y < x && (x = std::forward(y), true); } template bool chmax(T& x, U&& y) { return x < y && (x = std::forward(y), true); } template T inf() { T ret; std::memset(&ret, 0x3f, sizeof(ret)); return ret; } template T inf() { return std::numeric_limits::infinity(); } template concept Range = ranges::range && !std::convertible_to; template concept TupleLike = std::__is_tuple_like::value && !Range; namespace std { istream& operator>>(istream& is, Range auto&& r) { for (auto&& e : r) { is >> e; } return is; } istream& operator>>(istream& is, TupleLike auto&& t) { return apply([&](auto&... xs) -> istream& { return (is >> ... >> xs); }, t); } ostream& operator<<(ostream& os, Range auto&& r) { for (string_view sep = ""; auto&& e : r) { os << exchange(sep, " ") << e; } return os; } ostream& operator<<(ostream& os, TupleLike auto&& t) { const auto f = [&](auto&... xs) -> ostream& { [[maybe_unused]] string_view sep = ""; ((os << exchange(sep, " ") << xs), ...); return os; }; return apply(f, t); } } // namespace std #define DEF_INC_OR_DEC(op) \ auto& operator op(Range auto&& r) { \ for (auto&& e : r) { \ op e; \ } \ return r; \ } \ auto& operator op(TupleLike auto&& t) { \ std::apply([](auto&... xs) { (op xs, ...); }, t); \ return t; \ } DEF_INC_OR_DEC(++) DEF_INC_OR_DEC(--) #undef DEF_INC_OR_DEC void scan(auto&&... xs) { std::cin >> std::tie(xs...); } void print(auto&&... xs) { std::cout << std::tie(xs...) << '\n'; } template class fix { public: explicit fix(F f) : f_(std::move(f)) {} decltype(auto) operator()(auto&&... xs) const { return f_(std::ref(*this), std::forward(xs)...); } private: F f_; }; #define for(...) for ([[maybe_unused]] auto&& __VA_ARGS__) #endif // __INCLUDE_LEVEL__