#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; } int main() { ios::sync_with_stdio(false); cin.tie(0); int tt; cin >> tt; while(tt--) { int n, m; cin >> n >> m; VI l(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; ll cnt = 0; rep(i, n) cnt += clamp(c, l[i], r[i]); (cnt <= m ? lb : ub) = c; } VI dist(n); rep(i, n) dist[i] = clamp(lb, l[i], r[i]); int rest = m - accumulate(all(dist), 0); rep(i, n) if (rest && l[i] <= lb && lb < r[i]) { dist[i]++; rest--; } assert(rest == 0); ll ans = 0; rep(i, n) ans += ll(m - dist[i]) * dist[i]; ans /= 2; cout << ans << '\n'; } }