#include #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(i, n) for (ll i = 0; i < ll(n); ++i) #define rep2(i, s, n) for (ll i = ll(s); i < ll(n); ++i) #define rep3(i, s, n, d) for(ll i = ll(s); i < ll(n); i+=d) #define rep(...) overload4(__VA_ARGS__,rep3,rep2,rep1)(__VA_ARGS__) #define rrep1(i, n) for (ll i = ll(n)-1; i >= 0; i--) #define rrep2(i, n, t) for (ll i = ll(n)-1; i >= (ll)t; i--) #define rrep3(i, n, t, d) for (ll i = ll(n)-1; i >= (ll)t; i-=d) #define rrep(...) overload4(__VA_ARGS__,rrep3,rrep2,rrep1)(__VA_ARGS__) #define all(a) a.begin(),a.end() #define rall(a) a.rbegin(),a.rend() #define SUM(a) accumulate(all(a),0LL) #define MIN(a) *min_element(all(a)) #define MAX(a) *max_element(all(a)) #define popcount(x) __builtin_popcountll(x) #define pb push_back #define eb emplace_back #ifdef __LOCAL #define debug(...) { cout << #__VA_ARGS__; cout << ": "; print(__VA_ARGS__); cout << flush; } #else #define debug(...) void(0) #endif #define INT(...) int __VA_ARGS__;scan(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;scan(__VA_ARGS__) #define STR(...) string __VA_ARGS__;scan(__VA_ARGS__) #define CHR(...) char __VA_ARGS__;scan(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;scan(__VA_ARGS__) #define LD(...) ld __VA_ARGS__;scan(__VA_ARGS__) using namespace std; using ll = long long; using ld = long double; using P = pair; using LP = pair; using vi = vector; using vvi = vector; using vl = vector; using vvl = vector; using vd = vector; using vvd = vector; using vs = vector; using vc = vector; using vvc = vector; using vb = vector; using vvb = vector; using vp = vector

; using vvp = vector; template istream &operator>>(istream &is, pair &p) { return is >> p.first >> p.second; } template ostream &operator<<(ostream &os, const pair &p) { return os << '{' << p.first << ", " << p.second << '}'; } template istream &operator>>(istream &is, tuple &t) { return is >> get<0>(t) >> get<1>(t) >> get<2>(t); } template ostream &operator<<(ostream &os, const tuple &t) { return os << '{' << get<0>(t) << ", " << get<1>(t) << ", " << get<2>(t) << '}'; } template istream &operator>>(istream &is, vector &v) { for (T &t:v) { is >> t; } return is; } template ostream &operator<<(ostream &os, const vector &v) { os << '['; rep(i, v.size())os << v[i] << (i == int(v.size() - 1) ? "" : ", "); return os << ']'; } template void vecout(const vector &v, char div = '\n') { rep(i, v.size()) cout << v[i] << (i == int(v.size() - 1) ? '\n' : div); } template bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } void scan() {} template void scan(Head &head, Tail &... tail) { cin >> head; scan(tail...); } template void print(const T &t) { cout << t << '\n'; } template void print(const Head &head, const Tail &... tail) { cout << head << ' '; print(tail...); } template void fin(const T &... a) { print(a...); exit(0); } struct Init_io { Init_io() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); cout << boolalpha << fixed << setprecision(15); cerr << boolalpha << fixed << setprecision(15); } } init_io; const string yes[] = {"no", "yes"}; const string Yes[] = {"No", "Yes"}; const string YES[] = {"NO", "YES"}; const int inf = 1001001001; const ll linf = 1001001001001001001; template vector cumsum(const vector &v, bool shift_one = true) { int n = v.size(); vector res; if (shift_one) { res.resize(n + 1); rep(i, n) res[i + 1] = res[i] + v[i]; } else { res.resize(n); if (n) { res[0] = v[0]; rep(i, 1, n) res[i] = res[i - 1] + v[i]; } } return res; } vvi graph(int n, int m, bool directed = false, int origin = 1) { vvi G(n); rep(_, m) { INT(u, v); u -= origin, v -= origin; G[u].pb(v); if (!directed) G[v].pb(u); } return G; } template vector>> weighted_graph(int n, int m, bool directed = false, int origin = 1) { vector>> G(n); rep(_, m) { int u, v; T w; scan(u, v, w); u -= origin, v -= origin; G[u].eb(v, w); if (!directed) G[v].eb(u, w); } return G; } template void resemble(vector &v) {} template void resemble(vector &v, vector &head, Tail &...tail) { for (T &e : head) v.pb(e); resemble(v, tail...); } template void renumber(vector &v) {} template void renumber(vector &v, vector &head, Tail &...tail) { for (T &e : head) e = lower_bound(all(v), e) - v.begin(); renumber(v, tail...); } template vector zip(vector &head, Tail &... tail) { vector v; resemble(v, head, tail...); sort(all(v)); v.erase(unique(all(v)), v.end()); renumber(v, head, tail...); return v; } template class segtree { using S = typename Monoid::S; int n; vector val; public: constexpr segtree(const vector &init = vector()) { int _n = init.size(); n = 1; while (n < _n) n *= 2; val.assign(n * 2, Monoid::identity); rep(i, _n) val[i + n] = init[i]; rrep(i, n) val[i] = Monoid::operate(val[i * 2], val[i * 2 + 1]); } constexpr segtree(int _n) : segtree(vector(_n, Monoid::identity)) {} // segment [l,r) S prod(int l, int r) { l += n, r += n; S prod_l = Monoid::identity; S prod_r = Monoid::identity; while (l < r) { if (l & 1) prod_l = Monoid::operate(prod_l, val[l++]); if (r & 1) prod_r = Monoid::operate(val[--r], prod_r); l >>= 1, r >>= 1; } return Monoid::operate(prod_l, prod_r); } template void update(int i, const F &f) { i += n; val[i] = f(val[i]); while (i > 1) { i >>= 1; val[i] = Monoid::operate(val[i * 2], val[i * 2 + 1]); } } S get(int i) { assert(i >= 0 and i < n); return val[i + n]; } }; class M { public: using S = ll; static constexpr S identity = -1; static constexpr S operate(const S &l, const S &r) { return max(l, r); } }; int main() { INT(n, q); vi l(n), r(n); vl s(n); rep(i, n) { INT(a, b, c, d, e, f); l[i] = min({a, c, e}); r[i] = max({a, c, e}); s[i] = abs(ll(c - a) * (f - b) - ll(e - a) * (d - b)); } vi t(q), al(q), ar(q), ql(q), qr(q); vl as(q); rep(i, q) { scan(t[i]); if (t[i] == 1) { INT(a, b, c, d, e, f); al[i] = min({a, c, e}); ar[i] = max({a, c, e}); as[i] = abs(ll(c - a) * (f - b) - ll(e - a) * (d - b)); } else { scan(ql[i], qr[i]); } } int sz = zip(l, r, al, ar, ql, qr).size(); int d = sqrt(sz) + 1; int m = (sz + d - 1) / d; vvi rs(sz), ls(sz); rep(i, n) { rs[l[i]].pb(r[i]); ls[r[i]].pb(l[i]); } rep(i, q) { if (t[i] == 1) { rs[al[i]].pb(ar[i]); ls[ar[i]].pb(al[i]); } } rep(i, sz) { sort(all(rs[i])); sort(all(ls[i])); } vector> b_to_b(m); rep(i, m) b_to_b[i] = segtree(m); vector> l_to_r(sz); rep(i, sz) l_to_r[i] = segtree(rs[i].size()); vector> r_to_l(sz); rep(i, sz) r_to_l[i] = segtree(ls[i].size()); rep(i, n) { b_to_b[l[i] / d].update(r[i] / d, [&](ll pre) { return max(pre, s[i]); }); l_to_r[l[i]].update(lower_bound(all(rs[l[i]]), r[i]) - rs[l[i]].begin(), [&](ll pre) { return max(pre, s[i]); }); r_to_l[r[i]].update(lower_bound(all(ls[r[i]]), l[i]) - ls[r[i]].begin(), [&](ll pre) { return max(pre, s[i]); }); } rep(i, q) { if (t[i] == 1) { b_to_b[al[i] / d].update(ar[i] / d, [&](ll pre) { return max(pre, as[i]); }); l_to_r[al[i]].update(lower_bound(all(rs[al[i]]), ar[i]) - rs[al[i]].begin(), [&](ll pre) { return max(pre, as[i]); }); r_to_l[ar[i]].update(lower_bound(all(ls[ar[i]]), al[i]) - ls[ar[i]].begin(), [&](ll pre) { return max(pre, as[i]); }); } else { ll ans = -1; int lb = ql[i] / d, rb = qr[i] / d; if (lb < rb) { rep(j, lb + 1, rb) chmax(ans, b_to_b[j].prod(j, rb)); rep(j, ql[i], (lb + 1) * d) { chmax(ans, l_to_r[j].prod(0, upper_bound(all(rs[j]), qr[i]) - rs[j].begin())); } rep(j, rb * d, qr[i] + 1) { chmax(ans, r_to_l[j].prod(lower_bound(all(ls[j]), ql[i]) - ls[j].begin(), ls[j].size())); } } else { rep(j, ql[i], qr[i] + 1) { chmax(ans, l_to_r[j].prod(0, upper_bound(all(rs[j]), qr[i]) - rs[j].begin())); } } print(ans); } } }