#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /** * @brief Dynamic-Li-Chao-Tree * @docs docs/dynamic-li-chao-tree.md */ template< typename T, T x_low, T x_high, T id > struct DynamicLiChaoTree { struct Line { T a, b; Line(T a, T b) : a(a), b(b) {} inline T get(T x) const { return a * x + b; } }; struct Node { Line x; Node* l, * r; Node(const Line& x) : x{ x }, l{ nullptr }, r{ nullptr } {} }; Node* root; DynamicLiChaoTree() : root{ nullptr } {} Node* add_line(Node* t, Line& x, const T& l, const T& r, const T& x_l, const T& x_r) { if (!t) return new Node(x); T t_l = t->x.get(l), t_r = t->x.get(r); if (t_l <= x_l && t_r <= x_r) { return t; } else if (t_l >= x_l && t_r >= x_r) { t->x = x; return t; } else { T m = (l + r) / 2; if (m == r) --m; T t_m = t->x.get(m), x_m = x.get(m); if (t_m > x_m) { swap(t->x, x); if (x_l >= t_l) t->l = add_line(t->l, x, l, m, t_l, t_m); else t->r = add_line(t->r, x, m + 1, r, t_m + x.a, t_r); } else { if (t_l >= x_l) t->l = add_line(t->l, x, l, m, x_l, x_m); else t->r = add_line(t->r, x, m + 1, r, x_m + x.a, x_r); } return t; } } void add_line(const T& a, const T& b) { Line x(a, b); root = add_line(root, x, x_low, x_high, x.get(x_low), x.get(x_high)); } Node* add_segment(Node* t, Line& x, const T& a, const T& b, const T& l, const T& r, const T& x_l, const T& x_r) { if (r < a || b < l) return t; if (a <= l && r <= b) { Line y{ x }; return add_line(t, y, l, r, x_l, x_r); } if (t) { T t_l = t->x.get(l), t_r = t->x.get(r); if (t_l <= x_l && t_r <= x_r) return t; } else { t = new Node(Line(0, id)); } T m = (l + r) / 2; if (m == r) --m; T x_m = x.get(m); t->l = add_segment(t->l, x, a, b, l, m, x_l, x_m); t->r = add_segment(t->r, x, a, b, m + 1, r, x_m + x.a, x_r); return t; } void add_segment(const T& l, const T& r, const T& a, const T& b) { Line x(a, b); root = add_segment(root, x, l, r - 1, x_low, x_high, x.get(x_low), x.get(x_high)); } T query(const Node* t, const T& l, const T& r, const T& x) const { if (!t) return id; if (l == r) return t->x.get(x); T m = (l + r) / 2; if (m == r) --m; if (x <= m) return min(t->x.get(x), query(t->l, l, m, x)); else return min(t->x.get(x), query(t->r, m + 1, r, x)); } T query(const T& x) const { return query(root, x_low, x_high, x); } }; int main() { long long a; cin >> a; int q; cin >> q; const long long MAX_P = 1000000000; DynamicLiChaoTree cht; while (q--) { int t; cin >> t; if (t == 1) { long long p, q; cin >> p >> q; cht.add_line(-(p + q), p * q); } else { long long T; cin >> T; long long h = -cht.query(T); cout << max(0LL, -a * T * T +a*h) << endl; } } }