#include using namespace std; #define REP(i, m, n) for (int i = (m); i < (int)(n); i++) #define REPS(i, m, n) for (int i = (m); i <= (int)(n); i++) #define rep(i, n) REP(i, 0, n) #define reps(i, n) for (int i = 0; i <= (int)(n); i++) #define rrep(i, x) for (int i = ((int)(x)-1); i >= 0; i--) #define rreps(i, x) for (int i = (int)(x); i >= 0; i--) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define pb push_back #define fi first #define se second typedef long long ll; typedef pair P; const int inf = INT_MAX; const ll INF = 1LL << 60; const ll mod = 1e9 + 7; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template void Fill(A (&array)[N], const T &val) { fill( (T*)array, (T*)(array+N), val ); } int main() { cin.tie(0); ios::sync_with_stdio(false); int Q; cin >> Q; while(Q--) { ll A, B, C, D; cin >> A >> B >> C; if (C == 1) { cout << -1 << endl; continue; } vector bit; D = A; while (D > 0) { bit.pb(D%C); D /= C; } reverse(all(bit)); int M = bit.size(); vector sum(M+1), powC(M, 1), dp(M+1, A); REP(i, 1, M) { powC[i] = powC[i-1] * C; } REPS(i, 1, M) { rep(j, i) { sum[i] += bit[j] * powC[i-j-1]; } } dp[0] = 0; rep(i, M) { if (sum[i] * C == sum[i+1]) { chmin(dp[i+1], dp[i] + 1); } if (sum[i] + C - 1 >= sum[i+1]) { chmin(dp[i+1], dp[i] + 1); } if (sum[i] * C + C - 1 >= sum[i+1]) { chmin(dp[i+1], dp[i] + 2); } if (i + 2 <= M && sum[i] + 2 * C - 2 >= sum[i+2]) { chmin(dp[i+2], dp[i] + 2); } } ll ans = dp[M] * B; cout << ans << endl; } return 0; }