#include using namespace std; #define overload2(a, b, c, ...) c #define overload3(a, b, c, d, ...) d #define overload4(a, b, c, d, e ...) e #define overload5(a, b, c, d, e, f ...) f #define overload6(a, b, c, d, e, f, g ...) g #define fast_io ios::sync_with_stdio(false); cin.tie(nullptr); #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") typedef long long ll; typedef long double ld; #define chmin(a,b) a = min(a,b); #define chmax(a,b) a = max(a,b); #define bit_count(x) __builtin_popcountll(x) #define leading_zero_count(x) __builtin_clz(x) #define trailing_zero_count(x) __builtin_ctz(x) #define gcd(a,b) __gcd(a,b) #define lcm(a,b) a / gcd(a,b) * b #define rep(...) overload3(__VA_ARGS__, rrep, rep1)(__VA_ARGS__) #define rep1(i,n) for(int i = 0 ; i < n ; i++) #define rrep(i,a,b) for(int i = a ; i < b ; i++) #define repi(it,S) for(auto it = S.begin() ; it != S.end() ; it++) #define pt(a) cout << a << endl; #define print(...) printall(__VA_ARGS__); #define debug(a) cout << #a << " " << a << endl; #define all(a) a.begin(), a.end() #define endl "\n"; #define v1(T,n,a) vector(n,a) #define v2(T,n,m,a) vector>(n,v1(T,m,a)) #define v3(T,n,m,k,a) vector>>(n,v2(T,m,k,a)) #define v4(T,n,m,k,l,a) vector>>>(n,v3(T,m,k,l,a)) templateistream &operator>>(istream&is,pair&p){is>>p.first>>p.second;return is;} templateostream &operator<<(ostream&os,const pair&p){os<istream &operator>>(istream&is,vector&v){for(T &in:v){is>>in;}return is;} templateostream &operator<<(ostream&os,const vector&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?" ":"");}return os;} templateistream &operator>>(istream&is,vector>&v){for(T &in:v){is>>in;}return is;} templateostream &operator<<(ostream&os,const vector>&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?"\n":"");}return os;} templateostream &operator<<(ostream&os,const set&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?" ":"");}return os;} templateostream &operator<<(ostream&os,const multiset&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?" ":"");}return os;} template void printall(Args... args){for(auto i:initializer_list>{args...}) cout<(const Int128t &a) const { return v > a.v; } bool operator<=(const Int128t &a) const { return v <= a.v; } bool operator>=(const Int128t &a) const { return v >= a.v; } bool operator==(const Int128t &a) const { return v == a.v; } bool operator!=(const Int128t &a) const { return v != a.v; } friend istream &operator>>(istream &is, Int128t &v) { string s; is >> s; v.parse(s); return is; } friend ostream &operator<<(ostream &os, const Int128t &v) { if ( !ostream::sentry(os) ) return os; char buf[64]; char *d = end(buf); __uint128_t tmp = (v.v < 0 ? -v.v : v.v); do { d--; *d = char(tmp % 10 + '0'); tmp /= 10; } while ( tmp ); if ( v.v < 0 ) { d--; *d = '-'; } int len = end(buf) - d; if ( os.rdbuf()->sputn(d, len) != len ) { os.setstate(ios_base::badbit); } return os; } }; using int128t = Int128t; template 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; private: 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 t_r = t->x.get(r); if(t_l <= x_l && t_r <= x_r) return t; if(t_l >= x_l && t_r >=x_r) { t->x = x; return t; } T m = (l + r) / 2; if(m == r) --m; T t_m = t->x.get(m); T 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; } 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 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; } T _query(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)); return min(t->x.get(x), _query(t->r, m+1, r, x)); } public: DynamicLiChaoTree(): root{nullptr} {} 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())); } 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 T &x) const { return _query(root, x_low(), x_high(), x); } }; namespace MyStruct{ using Type = int128t; Type x_low() { return Type(0); }; Type x_high() { return Type(2e9); }; Type id() { return Type(1e18); }; }; void solve(){ ll a, q; cin >> a >> q; DynamicLiChaoTree S; rep(i,q){ int t; cin >> t; if(t == 1){ ll x, y; cin >> x >> y; S.add_line(-a*(x+y),a*x*y); } if(t == 2){ ll x; cin >> x; auto res = -S.query(x) -a * x * x; chmax(res,int128t(0)); pt(res) } } } int main(){ fast_io int t = 1; // cin >> t; rep(i,t) solve(); }