#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 << '\n'; continue; } int lb = 0, ub = 1000000001; while (ub - lb > 1) { int c = (ub + lb) / 2; long long cnt = 0; rep(i, n) cnt += clamp(c, l[i], r[i]); (cnt <= m ? lb : ub) = c; } vectora(n); rep(i, n) a[i] = clamp(lb, l[i], r[i]); int rest = m - accumulate(all(a), 0); rep(i, n) if (rest && l[i] <= lb && lb < r[i]) { a[i]++; rest--; } assert(rest == 0); long long ans = 0; rep(i, n) ans += ((long long)m - a[i]) * a[i]; ans /= 2; cout << ans << '\n'; } }