#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; using P = pair; constexpr int INF = 1001001001; constexpr int mod = 1000000007; // constexpr int mod = 998244353; template inline bool chmax(T& x, T y){ if(x < y){ x = y; return true; } return false; } template inline bool chmin(T& x, T y){ if(x > y){ x = y; return true; } return false; } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int Q; cin >> Q; for(int q = 0; q < Q; ++q){ ll A, B, C; cin >> A >> B >> C; if(C == 1){ cout << -1 << '\n'; continue; } if(A < C){ cout << B << '\n'; continue; } // coeff[k] := A を C 進表記したときの k 次の係数 vector coeff; while(A > 0){ coeff.emplace_back(A % C); A /= C; } int n = coeff.size(); ll ans = 0; if(coeff[n - 1] * C + coeff[n - 2] <= C * 2 - 2){ ans += (coeff[n - 1] * C + coeff[n - 2] + C - 2) / (C - 1) * B; } else{ ans += ((coeff[n - 1] > 0) + (coeff[n - 2] > 0) + 1) * B; } for(int k = n - 3; k >= 0; --k){ // C 倍による左ビットシフト ans += B; // [1, C) を足すことで係数を調整 if(coeff[k] > 0) ans += B; } cout << ans << '\n'; } return 0; }