#include //#include using namespace std; //using namespace atcoder; //using mint = modint998244353; //const int mod = 998244353; //using mint = modint1000000007; //const int mod = 1000000007; const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t; cin >> t; while (t--) { int n, m; cin >> n >> m; vectorl(n), r(n); rep(i, n)cin >> l[i]; rep(i, n)cin >> r[i]; if (!(accumulate(all(l), 0LL) <= m) && (m <= accumulate(all(r), 0LL))) { cout << -1 << endl; continue; } int ok = 0; int ng = INF; while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; auto check = [&]() { long long cnt = 0; rep(i, n)cnt += clamp(mid, l[i], r[i]); return cnt <= m; }; if (check()) ok = mid; else ng = mid; } vectora(n); rep(i, n)a[i] = clamp(ok, l[i], r[i]); int x = m - accumulate(all(a), 0LL); rep(i, n) { if (x > 0 && l[i] <= a[i] && a[i] < r[i]) { a[i]++; x--; } } long long ans = 0; rep(i, n)ans += ((long long)m - a[i]) * a[i]; ans /= 2; cout << ans << endl; } return 0; }