#line 1 "c.cpp"
#include<bits/stdc++.h>
#include<atcoder/all>
#define rep(i,n) for (int i = 0; i < int(n); ++i)
#define repp(i,m,n) for (int i = m; i < int(n); ++i)
#define reb(i,n) for (int i = int(n)-1; i >= 0; --i)
#define all(v) v.begin(),v.end()
using namespace std;
using namespace atcoder;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using P = pair<int, int>;
using PL = pair<long long, long long>;
using pdd = pair<long double, long double>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;
template<class T>istream &operator>>(istream &is,vector<T> &v){for(auto &e:v)is>>e;return is;}
template<typename T>bool range(T a,T b,T x){return (a<=x&&x<b);}
template<typename T>bool rrange(T a,T b,T c,T d,T x,T y){return (range(a,c,x)&&range(b,d,y));}
template<typename T> T rev(const T& str_or_vec){T res = str_or_vec; reverse(res.begin(),res.end()); return res; }
template<typename T>bool chmin(T &a,const T &b){if(a>b){a=b;return true;}return false;}
template<typename T>bool chmax(T &a,const T &b){if(a<b){a=b;return true;}return false;}
template<typename T>void uniq(vector<T> &v){sort(v.begin(),v.end());v.erase(unique(v.begin(),v.end()),v.end());}
template<typename T1, typename T2>void print(pair<T1,T2> a);
template<typename T>void print(vector<T> v);
template<typename T>void print(vector<vector<T>> v);
void print(){ putchar(' '); }
void print(bool a){ printf("%d", a); }
void print(int a){ printf("%d", a); }
void print(long a){ printf("%ld", a); }
void print(long long a){ printf("%lld", a); }
void print(char a){ printf("%c", a); }
void print(char a[]){ printf("%s", a); }
void print(const char a[]){ printf("%s", a); }
void print(long double a){ printf("%.15Lf", a); }
void print(const string& a){ for(auto&& i : a) print(i); }
void print(unsigned int a){ printf("%u", a); }
void print(unsigned long long a) { printf("%llu", a); }
template<class T> void print(const T& a){ cout << a; }
int out(){ putchar('\n'); return 0; }
template<class T> int out(const T& t){ print(t); putchar('\n'); return 0; }
template<class Head, class... Tail> int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; }
template<typename T1,typename T2>void print(pair<T1,T2> a){print(a.first);print(),print(a.second);}
template<typename T>void print(vector<T> v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())print();}}
template<typename T>void print(vector<vector<T>> v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())out();}}
void yes(){out("Yes");}
void no (){out("No");}
void yn (bool t){if(t)yes();else no();}
void fast_io(){cin.tie(0); ios::sync_with_stdio(0); cout<<fixed<<setprecision(20);}
void o(){out("!?");}

namespace noya2{

const int INF = 1001001007;
const long long mod1 = 998244353;
const long long mod2 = 1000000007;
const long long inf = 2e18;
const long double pi = 3.14159265358979323;
const long double eps = 1e-7;
const vector<int> dx = {0,1,0,-1,1,1,-1,-1};
const vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";

} // namespace noya2
using namespace noya2;

//using mint = modint998244353;
using mint = modint1000000007;
//using mint = modint;
void out(mint a){out(a.val());}
void out(vector<mint> a){vector<ll> b(a.size()); rep(i,a.size()) b[i] = a[i].val(); out(b);}
void out(vector<vector<mint>> a){for (auto v : a) out(v);}

#line 2 "Graph-core.hpp"

#line 5 "Graph-core.hpp"

namespace noya2 {

using namespace std;

struct naiveGraph { // undirected unweighted tree
    naiveGraph (int _n = 0) : n(_n){ init();}
    void add_edge(int u, int v, bool undirect = true, int id = -1){
        es0[u].emplace_back(v);
        es1[u].emplace_back(v,id);
        if (undirect){
            es0[v].emplace_back(u);
            es1[v].emplace_back(u,id);
        }
    }
    void remake(int new_n){
        es0.clear(); es1.clear(); vis.clear();
        n = new_n;
        init();
    }
    bool yet(int v){ return vis[v] == 0;}
    void visit(int v) { vis[v]++;}
    void reset(int v = -1){ 
        if (v == -1) fill(vis.begin(),vis.end(),0);
        else vis[v] = 0;
    }
    const vector<int>& operator[](int idx) const { return es0[idx];}
    const vector<pair<int,int>>& operator()(int idx) const {return es1[idx];}
  private:
    int n;
    vector<vector<int>> es0;
    vector<vector<pair<int,int>>> es1;
    vector<int> vis;
    void init(){
        es0.resize(n);
        es1.resize(n);
        vis.resize(n,0);
    }
};

struct usefulGraph { // directed weighted graph
    using ll = long long;
    static constexpr ll DINF = 2e18;
    usefulGraph (int _n = 0) : n(_n) { init();}
    void add_edge(int u, int v, ll cost = 1, bool undirect = true){
        es[u].emplace_back(v,cost);
        if (undirect) es[v].emplace_back(u,cost);
    }
    void remake(int new_n){
        es.clear();
        vis.clear();
        n = new_n;
        init();
    }
    bool yet(int v){ return vis[v] == 0;}
    void visit(int v) { vis[v]++;}
    void reset(int v = -1){ 
        if (v == -1) fill(vis.begin(),vis.end(),0);
        else vis[v] = 0;
    }
    vector<ll> dijkstra(int s){ // all edge weight >= 0
        vector<ll> dist(n,DINF);
        dist[s] = 0LL;
        priority_queue<pair<ll,int>,vector<pair<ll,int>>,greater<pair<ll,int>>> pque;
        pque.push(pair<ll,int>(0,s));
        while (!pque.empty()){
            ll d = pque.top().first;
            int f = pque.top().second;
            pque.pop();
            if (dist[f] < d) continue;
            for (auto e : es[f]){
                if (dist[e.first] > d + e.second){
                    dist[e.first] = d + e.second;
                    pque.push(pair<ll,int>(dist[e.first],e.first));
                }
            }
        }
        return dist;
    }
    vector<ll> bfs01(int s){ // all edge weight = 0 or 1
        vector<ll> dist(n,DINF);
        dist[s] = 0;
        deque<int> que;
        que.push_back(s);
        while (!que.empty()){
            auto f = que.front(); que.pop_front();
            for (auto e : es[f]){
                if (dist[e.first] > dist[f] + e.second){
                    dist[e.first] = dist[f] + e.second;
                    if (e.second == 0) que.push_front(e.first);
                    else que.push_back(e.first);
                }
            }
        }
        return dist;
    }
    vector<ll> bellman_ford(int s, bool &ng_cycle){
        vector<ll> dist(n,DINF);
        vector<int> ng;
        dist[s] = 0;
        int t = 0;
        while (t < n){
            bool finish = true;
            for (int f = 0; f < n; f++){
                if (dist[f] == DINF) continue;
                for (auto e : es[f]){
                    if (dist[e.first] > dist[f] + e.second){
                        dist[e.first] = dist[f] + e.second;
                        finish = false;
                        if (t == n-1) ng.emplace_back(e.first);
                    }
                }
            }
            if (finish) break;
            t++;
        }
        ng_cycle = (t == n);
        if (ng_cycle){
            for (auto v : ng) dist[v] = -DINF;
            t = n;
            while (t--){
                for (int f = 0; f < n; f++){
                    if (dist[f] != -DINF) continue;
                    for (auto e : es[f]){
                        dist[e.first] = -DINF;
                    }
                }
            }
        }
        return dist;
    }
    vector<vector<ll>> warshall_floyd(){
        vector<vector<ll>> res(n,vector<ll>(n,DINF));
        for (int i = 0; i < n; i++){
            res[i][i] = 0;
            for (auto e : es[i]){
                res[i][e.first] = min(res[i][e.first],e.second);
            }
        }
        for (int k = 0; k < n; k++){
            for (int i = 0; i < n; i++){
                for (int j = 0; j < n; j++){
                    res[i][j] = min(res[i][j],res[i][k]+res[k][j]);
                }
            }
        }
        return res;
    }
    const vector<pair<int,ll>>& operator[](int idx) const { return es[idx];}
  private:
    int n;
    vector<vector<pair<int,ll>>> es;
    vector<int> vis;
    void init(){
        es.resize(n);
        vis.resize(n,0);
    }
};

} // namespace noya2
#line 77 "c.cpp"

void solve(){
    ll x, y, a; cin >> x >> y >> a;
    set<ll> st;
    ll ix = x;
    while (true){
        st.insert(ix);
        if (ix == 0) break;
        ix /= a;
    }
    ll iy = y;
    set<ll> sy0, sy1;
    vector<ll> ys;
    while (true){
        st.insert(iy);
        sy0.insert(iy);
        st.insert(iy+1);
        sy1.insert(iy+1);
        ys.emplace_back(iy);
        if (iy == 0) break;
        iy /= a;
    }
    map<ll,int> mp;
    vector<ll> vs;
    int n = 0;
    for (auto s : st){
        mp[s] = n++;
        vs.emplace_back(s);
    }
    usefulGraph g(n);
    auto add = [&](ll u, ll v, ll c){
        assert(c >= 0);
        g.add_edge(mp[u],mp[v],c,false);
    };
    ix = x;
    while (ix > 0){
        add(ix,ix/a,1);
        auto ite0 = sy0.lower_bound(ix);
        if (ite0 != sy0.end()){
            add(ix,*ite0,*ite0-ix);
        }
        auto ite1 = sy1.upper_bound(ix);
        if (ite1 != sy1.begin()){
            ll nxt1 = *prev(ite1);
            add(ix,nxt1,ix-nxt1);
        }
        ix /= a;
    }
    int siz = ys.size();
    rep(i,siz){
        add(ys[i],ys[i]+1,1);
        add(ys[i]+1,ys[i],1);
        if (i >= 1){
            add(ys[i],ys[i-1],1+ys[i-1]-ys[i]*a);
            add(ys[i]+1,ys[i-1]+1,1+ys[i]*a+a-ys[i-1]-1);
            add(ys[i]+1,ys[i-1],ys[i-1]-ys[i]-1);
        }
        if (i >= 2){
            add(ys[i],ys[i-2],1+ys[i-2]-ys[i]*a);
        }
    }
    out(g.dijkstra(mp[x])[mp[y]]);
}

int main(){
    fast_io();
    int t = 1; cin >> t;
    while(t--) solve();
}