#include #include #define eb emplace_back #define all(a) (a).begin(),(a).end() #define RD(T,...) T __VA_ARGS__;li(__VA_ARGS__) #define LL(...) RD(ll,__VA_ARGS__) #define JO(a,b) a##b #define jo(a,b) JO(a,b) #define uqsymb(a) jo(a,__LINE__) #define FE(v,e,...) for(auto&&__VA_OPT__([)e __VA_OPT__(,__VA_ARGS__]):v) #define FO(n) for(ll uqsymb(i)=n;uqsymb(i)-->0;) #define FOR(i,...) for(auto[i,i##O,i##E]=rng(0,__VA_ARGS__);i=i##O;i-=i##E) #define I template using std::cin,std::cout,std::begin,std::end,std::rbegin; using std::swap,std::move,std::abs,std::prev,std::next; using std::tuple,std::bitset,std::minmax,std::get; using vo=void;using bo=bool; vo solve(); using is=std::istream;using os=std::ostream; using dd=long double;using ll=long long;using ull=unsigned long long; using lll=__int128_t;using ulll=__uint128_t;using str=std::string; using namespace atcoder;using ml=modint;auto&operator<<(os&o,const ml&x){return o<>=1,++r;return r;} IT zz(T x){return x<0?-x:x;} Ill len(const T&a){return a.size();} Iauto max(const A&...a){return max(std::initializer_list>{a...});} Iauto min(const A&...a){return min(std::initializer_list>{a...});} struct edg{ ll t,w; edg(){} edg(ll t,ll w=1):t(t),w(w){} friend os&operator<<(os&o,const edg&e){return o<struct cp{ A a={};B b={}; cp(){} cp(A a,B b):a(a),b(b){} cp(std::pairp):a(p.first),b(p.second){} bo operator==(const cp&c)const{return a==c.a&&b==c.b;} bo operator<(const cp&c)const{return a!=c.a?a(const cp&c)const{return a!=c.a?a>c.a:b>c.b;} friend is&operator>>(is&i,cp&c){return i>>c.a>>c.b;} friend os&operator<<(os&o,const cp&c){return o<; Istruct tr{ A a={};B b={};C c={}; tr(){} tr(A a,B b,C c):a(a),b(b),c(c){} bo operator==(const tr&t)const{return a==t.a&&b==t.b&&c==t.c;} auto operator<(const tr&t)const{return a!=t.a?a>(is&i,tr&t){return i>>t.a>>t.b>>t.c;} friend os&operator<<(os&o,const tr&t){return o<; Idecltype(auto)rb(T&a){return*rbegin(a);} Iauto pot(T&a){auto r=a.top();a.pop();return r;} templatestruct set:std::set{ set(const std::vector&a={}){fe(a,e)this->emplace(e);} friend os&operator<<(os&o,const set&s){fe(s,e)o<struct ve; Iconstexpr bo isv=0; Iconstexpr bo isv> =1; Iconstexpr bo isv> =1; Iauto rawv(V){if constexpr(isv)return rawv(V(1)[0]);else return V();} Istruct ve:std::vector{ using std::vector::vector; using T=decltype(rawv(V())); Ive(const std::vector&v={}){fe(v,e)this->eb(e);} auto&operator+=(const ve&u){auto&v=*this;fo(i,len(v))v[i]+=u[i];return v;} auto&operator-=(const ve&u){auto&v=*this;fo(i,len(v))v[i]-=u[i];return v;} auto&operator^=(const ve&u){fe(u,e)this->eb(e);return*this;} auto&operator+=(const T&x){auto&v=*this;fe(v,e)e+=x;return v;} auto&operator-=(const T&x){auto&v=*this;fe(v,e)e-=x;return v;} auto&operator*=(const T&x){auto&v=*this;fe(v,e)e*=x;return v;} Iauto&operator+=(const bitset&a){fo(i,n)(*this)[i]+=a[i];return*this;} Iauto&operator-=(const bitset&a){fo(i,n)(*this)[i]-=a[i];return*this;} auto operator+(const ve&u){return ve(*this)+=u;} auto operator-(const ve&u){return ve(*this)-=u;} auto operator^(const ve&u){return ve(*this)^=u;} auto operator+(const T&x){return ve(*this)+=x;}auto&operator++(){return*this+=1;} auto operator-(const T&x){return ve(*this)-=x;}auto&operator--(){return*this-=1;} auto operator*(const T&x){return ve(*this)*=x;}auto operator-(){return ve(*this)*=-1;} auto lower_bound(const V&x)const{return std::lower_bound(all(*this),x);} auto upper_bound(const V&x)const{return std::upper_bound(all(*this),x);} Iauto scan(F f)const{cpr;fe(*this,e)if constexpr(!isv)r.b?f(r.a,e),r:r={e,1};else if(auto s=e.scan(f);s.b)r.b?f(r.a,s.a),r:r=s;return r;} T max()const{return scan([](T&a,const T&b){ab?a=b:0;;}).a;} }; Iauto vec(const ll(&s)[n],T x={}){ if constexpr(n==i+1)return ve(s[i],x); else{ auto X=vec(s,x); return ve(s[i],X); } } Ivo setsize(const ll(&l)[n],A&...a){((a=vec(l,rawv(a))),...);} Iusing vve=ve>;using vl=ve;using vvl=vve; using gl=ve>;using ge=ve>; struct io{io(){cin.tie(0)->sync_with_stdio(0); cout<os&operator<<(os&o,const bitset&b){fo(i,n)o<os&operator<<(os&o,const tuple&t){ apply([&](const auto&...a){ll i=0;(((o<os&operator<<(os&o,const std::vector&v){fe(v,e)o<?nl:sp);return o;} Ivo pp(const A&...a){ll i=0;((cout<is&operator>>(is&i,std::vector&v){fe(v,e)i>>e;return i;} Ivo li(A&...a){(cin>>...>>a);} Istruct rec:F{rec(F&&f):F(std::forward(f)){}Idecltype(auto)operator()(A&&...a)const{return F::operator()(*this,std::forward(a)...);}}; namespace cht{ templatestruct line{ T a={},b={}; line(){} line(T a,T b):a(a),b(b){} bo operator<(const line&rhs)const{ return a!=rhs.a?a>rhs.a:bstruct crosspoint{ T n,d; linel; crosspoint(T n,T d,const line&l):n(n),d(d),l(l){ if(this->d<0)this->n*=-1,this->d*=-1; } bo operator<(const crosspoint&rhs)const{ if(n==oo||rhs.n==-oo)return 0; if(n==-oo||rhs.n==oo)return 1; return n*rhs.dcrosspointcalc_crosspoint(const line&l1,const line&l2){ if(l1.a==oo)return{-oo,1,l1}; if(l2.a==-oo)return{oo,1,l1}; return{l1.b-l2.b,l2.a-l1.a,l1}; } templatebo need(const line&l1,const line&l2,const line&l3){ if(l1.a==l2.a&&l1.b<=l2.b)return 0; if(l1.a==oo||l3.a==-oo)return 1; return(l2.a-l1.a)*(l3.b-l2.b)<(l2.b-l1.b)*(l3.a-l2.a); } templatestruct min_convex_hull_trick_get_monotone{ set>ls; set>ps; min_convex_hull_trick_get_monotone(){} vo add(T a,T b){ line l(a,b); auto lp=ls.emplace(a,b).first; if(lp!=ls.begin()&&lp!=prev(ls.end())){ if(need(*prev(lp),*lp,*next(lp))){ ps.erase(calc_crosspoint(*prev(lp),*next(lp))); }else{ ls.erase(lp); return; } } typename set>::iterator cu; if(lp!=ls.begin()){ cu=prev(lp); while(cu!=ls.begin()&&!need(*prev(cu),*cu,l)){ ps.erase(calc_crosspoint(*prev(cu),*cu)); cu=prev(cu); } ls.erase(next(cu),lp); lp=ls.find(l); ps.emplace(calc_crosspoint(*prev(lp),*lp)); } if(lp!=prev(ls.end())){ cu=next(lp); while(cu!=prev(ls.end())&&!need(l,*cu,*next(cu))){ ps.erase(calc_crosspoint(*cu,*next(cu))); cu=next(cu); } ls.erase(next(lp),cu); lp=ls.find(l); ps.emplace(calc_crosspoint(*lp,*next(lp))); } } T operator()(T x){ while(len(ps)&&*ps.begin()(x,1,line())){ ps.erase(ps.begin()); ls.erase(ls.begin()); } return ls.begin()->a*x+ls.begin()->b; } }; templatestruct max_convex_hull_trick_get_monotone:min_convex_hull_trick_get_monotone{ using base=min_convex_hull_trick_get_monotone; max_convex_hull_trick_get_monotone(){} vo add(T a,T b){base::add(-a,-b);} T operator()(T x){return-base::operator()(x);} }; } int main(){ll T=1;fo(T)solve();} vo solve(){ LL(a); LL(Q); cht::max_convex_hull_trick_get_monotonecht; fo(Q){ LL(f); if(f==1){ LL(S,T); cht.add(a*(S+T),-a*S*T); }else{ LL(t); pp(max(-a*t*t+cht(t),0)); } } }