#include #include #include #include #include #define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() const int INF = 0x3f3f3f3f; const long long LINF = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-8; const int MOD = 1000000007; // 998244353; const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; struct IOSetup { IOSetup() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(10); } } iosetup; /*-------------------------------------------------*/ int main() { int q; cin >> q; while (q--) { long long a, b, c; cin >> a >> b >> c; if (c == 1) { cout << -1 << '\n'; continue; } vector base; while (a > 0) { base.emplace_back(a % c); a /= c; } long long ans = LINF; while (base.size() >= 1) { long long tmp = base.size() - 1; for (long long e : base) { tmp += (e + c - 2) / (c - 1); } ans = min(ans, tmp); if (base.size() == 1) break; long long now = base.back() * c; base.pop_back(); base.back() += now; } cout << b * ans << '\n'; } return 0; }