#include #include #define rep(i,b) for(int i=0;i=0;i--) #define rep1(i,b) for(int i=1;i=x;i--) #define fore(i,a) for(auto& i:a) #define rng(x) (x).begin(), (x).end() #define rrng(x) (x).rbegin(), (x).rend() #define sz(x) ((int)(x).size()) #define pb push_back #define fi first #define se second #define pcnt __builtin_popcountll using namespace std; using namespace atcoder; using ll = long long; using ld = long double; template using mpq = priority_queue, greater>; template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (b ll sumv(const vector&a){ll res(0);for(auto&&x:a)res+=x;return res;} bool yn(bool a) { if(a) {cout << "Yes" << endl; return true;} else {cout << "No" << endl; return false;}} #define retval(x) {cout << #x << endl; return;} #define cout2(x,y) cout << x << " " << y << endl; #define coutp(p) cout << p.fi << " " << p.se << endl; #define out cout << ans << endl; #define outd cout << fixed << setprecision(20) << ans << endl; #define outm cout << ans.val() << endl; #define outv fore(yans , ans) cout << yans << "\n"; #define outdv fore(yans , ans) cout << yans.val() << "\n"; #define assertmle(x) if (!(x)) {vi v(3e8);} #define asserttle(x) if (!(x)) {while(1){}} #define coutv(v) {fore(vy , v) {cout << vy << " ";} cout << endl;} #define coutv2(v) fore(vy , v) cout << vy << "\n"; #define coutvm(v) {fore(vy , v) {cout << vy.val() << " ";} cout << endl;} #define coutvm2(v) fore(vy , v) cout << vy.val() << "\n"; using pll = pair;using pil = pair;using pli = pair;using pii = pair;using pdd = pair; using vi = vector;using vd = vector;using vl = vector;using vs = vector;using vb = vector; using vpii = vector;using vpli = vector;using vpll = vector;using vpil = vector; using vvi = vector>;using vvl = vector>;using vvs = vector>;using vvb = vector>; using vvpii = vector>;using vvpli = vector>;using vvpll = vector;using vvpil = vector; using mint = modint998244353; //using mint = modint1000000007; //using mint = dynamic_modint<0>; using vm = vector; using vvm = vector>; vector dx={1,0,-1,0,1,1,-1,-1},dy={0,1,0,-1,1,-1,1,-1}; ll gcd(ll a, ll b) { return a?gcd(b%a,a):b;} ll lcm(ll a, ll b) { return a/gcd(a,b)*b;} #define yes {cout <<"Yes"<>n>>m; vl l(n), r(n); rep(i,n) cin>>l[i]; rep(i,n) cin>>r[i]; ll suml = sumv(l); ll sumr = sumv(r); if (suml > m) retval(-1); if (sumr < m) retval(-1); auto check = [&](ll mid)->bool{ ll sum = 0; rep(i,n){ if (mid <= l[i]) sum += l[i]; else if(mid >= r[i]) sum += r[i]; else sum += mid; } return (sum<=m); }; ll bsl = 0, bsu = 2e9; if (check(bsu)){ assertmle(sumv(r)==m); ll ans = 0; rep(i,n){ ans += (m-r[i])*r[i]; } ans /= 2; out; } while(bsu-bsl>1){ ll mid = (bsl+bsu)/2; if (check(mid)) bsl = mid; else bsu = mid; } ll res = m; mpq q; vl v; rep(i,n){ ll tmp = 0; if (l[i] >= bsl) tmp = l[i]; else if(r[i] <= bsl) tmp = r[i]; else tmp = bsl; res -= tmp; if (tmp == r[i]){ v.pb(r[i]); }else{ q.push({tmp,r[i]}); } } asserttle(res>=0); while(sz(q) && res){ pll p = q.top(); q.pop(); res--; pll nxt = {p.fi+1, p.se}; if (nxt.fi == nxt.se) v.pb(nxt.fi); else q.push(nxt); } while(sz(q)){ v.pb(q.top().fi); q.pop(); } assert(sumv(v)==m); assert(sz(v)==n); ll ans = 0; rep(i,n){ ans += (m-v[i])*v[i]; } ans /= 2; out; return; } int main(){ ios::sync_with_stdio(false); cin.tie(0); int t = 1; cin>>t; rep(i,t){ solve(); } return 0; }