/* Problem URL: https://codeforces.com/problemset/problem/1986/E */ #include #include #include using namespace std; using namespace __gnu_pbds; template > using ordered_set = tree; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } const int oo = INT32_MAX >> 1; const ll OO = INT64_MAX >> 1; void pre() { } #define TEST 1 void solve() { int n; ll k; cin >> n >> k; vl a(n); cin >> a; map c; rep(i, n) { c[a[i] % k].push_back(a[i]); } int oc = 0; repv(i, c) { oc += i.second.size() & 1; } if (oc > 1) { cout << "-1\n"; return; } auto func = [&](vl &v) -> int { if (v.size() <= 1) { return 0; } int n = v.size(); vl suf(n + 1); suf[n - 2] = (v.end()[-1] - v.end()[-2]) / k; for (int i = n - 4; i >= 0; i -= 2) { suf[i] = suf[i + 2] + (v[i + 1] - v[i]) / k; } ll ans = OO; ll sum = 0; rep(i, n) { if (i & 1) { rmin(ans, (v[i + 1] - v[i - 1]) / k + suf[i + 2] + sum); sum += (v[i] - v[i - 1]) / k; continue; } rmin(ans, sum + suf[i + 1]); } return ans; }; ll ans = 0; repv(i, c) { auto &v = i.second; sortv(v); if (v.size() & 1) { ans += func(v); continue; } nrep(j, 1, v.size()) { ans += (v[j] - v[j - 1]) / k; j++; } } cout << ans << '\n'; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); pre(); int t; (TEST && cin >> t) || (t = 1); while (t--) { solve(); } }