#include<bits/stdc++.h>
namespace {
#pragma GCC diagnostic ignored "-Wunused-function"
#include<atcoder/all>
#pragma GCC diagnostic warning "-Wunused-function"
using namespace std;
using namespace atcoder;
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--)
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
template<class T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; }
template<class T> bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; }
using ll = long long;
using P = pair<int,int>;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<ll>;
using VVL = vector<VL>;

} int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int tt;
  cin >> tt;
  while(tt--) {
    ll x, y, a;
    cin >> x >> y >> a;
    auto digits = [](ll x, ll a) {
      VL d;
      while(x) d.emplace_back(x % a), x /= a;
      return d;
    };
    VL dx = digits(x, a);
    VL dy = digits(y, a);
    int sz = max(dx.size(), dy.size());
    dx.resize(sz);
    dy.resize(sz);
    VL vx(sz + 1), vy(sz + 1);
    rrep(i, sz) {
      vx[i] = a * vx[i + 1] + dx[i];
      vy[i] = a * vy[i + 1] + dy[i];
    }
    ll ans = 4e18;
    rep(to, sz + 1) {
      ll x0 = x;
      rep(_, to) x0 /= a;
      rep(at, sz + 1) {
        ll dp[2]{to + abs(vy[at] - x0), to + abs(vy[at] + 1 - x0)};
        for(int i = at - 1; i >= 0; i--) {
          if (dp[0] >= ans && dp[1] >= ans) break;
          ll ndp[2]{(ll)4e18, (ll)4e18};
          rep(x, 2) rep(y, 2) {
            ll p = (vy[i + 1] + x) * a;
            ll cost = 1 + abs(vy[i] + y - p);
            chmin(ndp[y], dp[x] + cost);
          }
          swap(dp, ndp);
        }
        chmin(ans, dp[0]);
      }
    }
    cout << ans << '\n';
  }
}