#include #include using namespace std; typedef long long ll; typedef pair P; const ll INF = 8000000000000000000; void solve() { int n, k; cin >> n >> k; ll a[2005]; ll s = 0; for (int i = 0; i < n; i++) { cin >> a[i]; s += a[i] % k; } if (n == k) { for (int i = 0; i < n - 1; i++) { if (a[i] % k != a[i + 1] % k) { cout << -1 << endl; return; } } cout << a[0] % k << endl; return; } if (s % k) { cout << -1 << endl; return; } sort(a, a + n, greater()); ll x = 0; ll h = 0; ll ans = INF; for (int r = n; r > k; r--) { P p[4005]; ll s = x; for (int i = 0; i < r; i++) { p[i] = P(a[i] % k + (h / k) * k, i); if (p[i].first < h) { p[i].first += k; } s += p[i].first; } sort(p, p + r); int j; for (j = 0; j < r; j++) { if (p[j].second == r - 1) { break; } } for (int i = r; i < r * 2; i++) { p[i] = P(p[i - r].first + k, p[i - r].second); } bool g = false; for (int e = 0; e < r; e++) { ll y = (p[e + r - 1].first * k - s) / ((r - k) * k); if (y * ((r - k) * k) < p[e + r - 1].first * k - s) { y++; } if (y < 0) { continue; } bool f = true; if (j >= e && p[j].first + y * k > a[p[j].second]) { f = false; } if (j < e && p[j].first + k + y * k > a[p[j].second]) { f = false; } if (f) { g = true; ans = min(ans, (s + y * k * r) / k); } s += k; } x += a[r - 1]; h = a[r - 1]; } cout << (ans < INF ? ans : -1) << endl; } int main() { int t; cin >> t; while (t--) { solve(); } }