#include //#include using namespace std; //using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //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 endl "\n" #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; } // https://ei1333.github.io/library/structure/convex-hull-trick/dynamic-li-chao-tree.hpp /** * @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() { ios::sync_with_stdio(false); cin.tie(nullptr); long long a; cin >> a; DynamicLiChaoTreedp; int q; cin >> q; while (q--) { int t; cin >> t; if (1 == t) { long long s, t; cin >> s >> t; // ax+b long long p = -a * (s + t); long long q = a * s *t; dp.add_segment(s, t, p, q); } else { long long t; cin >> t; auto val = dp.query(t) * -1; val += -a * t * t; cout << max(0LL, val) << endl; } } return 0; }