// #define STOPIT #include #define loop(n) for (int ngtkana_is_genius = 0; ngtkana_is_genius < int(n); ngtkana_is_genius++) #define rep(i, begin, end) for(int i = int(begin); i < int(end); i++) #define all(v) v.begin(), v.end() #define rand(l, r) std::uniform_int_distribution<>(l, r)(mt) using lint = long long; auto mt = std::mt19937_64(std::random_device{}()); auto cmn = [](auto& a, auto b){if (a > b) {a = b; return true;} return false;}; auto cmx = [](auto& a, auto b){if (a < b) {a = b; return true;} return false;}; void debug_impl() { std::cerr << std::endl; } template void debug_impl(Head head, Tail... tail){ std::cerr << " " << head; debug_impl(tail...); } #ifndef STOPIT #define debug(...)\ std::cerr << std::boolalpha << "[" << #__VA_ARGS__ << "]:";\ debug_impl(__VA_ARGS__);\ std::cerr << std::noboolalpha; #else #define debug 0; #endif template < typename Container, typename Value = typename Container::value_type, std::enable_if_t::value, std::nullptr_t> = nullptr> std::istream& operator>> (std::istream& is, Container& v) { for (auto & x : v) { is >> x; } return is; } template < typename Container, typename Value = typename Container::value_type, std::enable_if_t::value, std::nullptr_t> = nullptr > std::ostream& operator<< (std::ostream& os, Container const& v) { os << "{"; for (auto it = v.begin(); it != v.end(); it++) {os << (it != v.begin() ? "," : "") << *it;} return os << "}"; } int main() { std::cin.tie(0); std::cin.sync_with_stdio(false); int q; std::cin >> q; loop(q) { int a, b, c; std::cin >> a >> b >> c; if (c == 1) { std::cout << -1 << std::endl; continue; } int now = 0; lint ret = std::numeric_limits< lint >::max(); while (a) { int tmp = now + (a + c - 2) / (c - 1); // debug(a, now, tmp); cmn(ret, tmp); if (a % c) { a -= a % c; } else { a /= c; } now++; } int tmp = now + (a + c - 2) / (c - 1); // debug(a, now, tmp); cmn(ret, tmp); ret *= b; std::cout << ret << std::endl; } return 0; }