#include #pragma GCC optimize("Ofast") using namespace std; using std::cout; using std::cin; using std::endl; using ll=long long; using ld=long double; ll ILL=2167167167167167167; const int INF=2100000000; const int mod=998244353; #define rep(i,a,b) for (ll i=a;i using _pq = priority_queue, greater>; template ll LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template ll UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;} template bool chmax(T &a,const T &b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";} template void vec_out(vector &p){for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){assert(!a.empty());T ans=a[0]-a[0];for(auto &x:a) ans+=x;return ans;} void solve(); // oddloop int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t=1; cin>>t; rep(i,0,t) solve(); } void solve(){ ll x,y,a; cin>>x>>y>>a; ll ans=abs(x-y); ll b=0; if(y==0){ do{ b++; x/=a; chmin(ans,x+b); }while(x); cout<b){ chmin(ans,b+abs(x-y)); int M=3; vector dp(M,ILL); dp[1]=b; vector val={y-1,y,y+1}; while(true){ vector n_val={val[1]/a-1,val[1]/a,val[1]/a+1}; vector n_dp(M,ILL); rep(i,0,M) rep(j,0,M){ if(n_val[j]<0) continue; ll cost=abs(val[i]-n_val[j]*a)+dp[i]+1; chmin(n_dp[j],cost); } rep(i,0,M) if(n_val[i]>=0) chmin(ans,n_dp[i]+abs(x-n_val[i])); swap(n_val,val); swap(n_dp,dp); if(val[0]<0) break; } if(x==0) break; b++; x/=a; } cout<