#include using namespace std; using ll=long long; const ll ILL=2167167167167167167; const int INF=2100000000; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using _pq = priority_queue, greater>; template int LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template int UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(b bool chmax(T &a,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;});} bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';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){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} template T square(T a){return a * a;} void solve(); // CITRUS CURIO CITY / FREDERIC int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t = 1; cin >> t; rep(i, 0, t) solve(); } void solve(){ ll N, K; cin >> N >> K; vector A(N); rep(i, 0, N) cin >> A[i]; if (vec_sum(A) % K){ cout << "-1\n"; return; } ll st = 0; for (auto x : A) chmax(st, x % K); ll ans = ILL; So(A); auto g = [&](ll a) -> vector { // diff が a 以下のものを全て消す vector res(N); rep(i, 0, N){ if (A[i] >= a){ res[i] = ((A[i] - a + K - 1) / K) * K; } res[i] = A[i] - res[i]; } return res; }; auto f = [&](int ind) -> void { auto B = g(st); ll sum = vec_sum(B); ll mx = vec_max(B); if (mx <= sum / K){ chmin(ans, sum); return; } vector order; ll cyc = (A[ind] - B[ind]) / K; rep(i, ind, N) order.push_back(i); stable_sort(all(order), [&](int l, int r){ return B[l] < B[r]; }); for (auto id : order){ if (id == ind) cyc--; if (cyc < 0) break; sum += K; chmax(mx, B[id] + K); // a = 0, 1, ... , cyc - 1 であって、 // (mx + a * K) * K <= (sum + a * K * (N - ind)) // を満たす最小の a ll tmp1 = mx * K - sum; ll tmp2 = K * (N - ind - K); if (tmp1 <= 0){ chmin(ans, sum); } else if (tmp2 > 0){ ll a = (tmp1 + tmp2 - 1) / tmp2; if (a <= cyc) chmin(ans, sum + a * K * (N - ind)); } } }; rep(i, 0, N){ f(i); chmax(st, A[i]); } if (ans == ILL) cout << "-1\n"; else{ cout << ans / K << "\n"; } }