#include<bits/stdc++.h>
#include<atcoder/all>
using namespace atcoder;
template<typename V>struct ve;
using ml=modint;using m1=ve<ml>;
auto&operator>>(std::istream&i,ml&x){long long t;i>>t;x=t;return i;}
auto&operator<<(std::ostream&o,const ml&x){return o<<x.val();}
#define ep emplace
#define eb emplace_back
#define all(a) begin(a),end(a)
#define wh(...) while(__VA_ARGS__)
#define ef(...) else if(__VA_ARGS__)
#define done(...) rr pp(__VA_ARGS__)
#define LL(...) RD(ll,__VA_ARGS__)
#define ST(...) RD(str,__VA_ARGS__)
#define RD(T,...) T __VA_ARGS__;li(__VA_ARGS__)
#define UL(n,...) u1 __VA_ARGS__;setsize({n},__VA_ARGS__);li(__VA_ARGS__)
#define UV(n,...) u1 __VA_ARGS__;setsize({n},__VA_ARGS__);vi(__VA_ARGS__)
#define U2(n,m,...) u2 __VA_ARGS__;setsize({n,m},__VA_ARGS__);li(__VA_ARGS__)
#define FE(v,e,...) for(au&&__VA_OPT__([)e __VA_OPT__(,__VA_ARGS__]):v)
#define FO(n) for(ll jo(i,__LINE__)=n;jo(i,__LINE__)-->0;)
#define FOR(i,...) for(au[i,i##O,i##E]=rng(0,__VA_ARGS__);i<i##O;i+=i##E)
#define fe(v,...) FE(v,__VA_ARGS__)
#define fo(i,...) FO##__VA_OPT__(R)(i __VA_OPT__(,__VA_ARGS__))
#define of(i,...) for(au[i##O,i,i##E]=rng(1,__VA_ARGS__);i>=i##O;i-=i##E)
#define debug(...) pp(#__VA_ARGS__,__VA_ARGS__)
#define JO(s,t) s##t
#define jo(s,t) JO(s,t)
#define I(...) template<__VA_ARGS__>
#define J typename
#define O operator
#define au auto
#define cs const
#define ifc if constexpr
#define rr return
#define uu using
uu std::cin,std::cout,std::begin,std::end,std::rbegin;
uu std::deque,std::tuple,std::array,std::bitset;
uu std::swap,std::move,std::minmax,std::gcd,std::lcm;
I(J T)uu ilis=std::initializer_list<T>;
uu vo=void;
vo solve();
uu bo=bool;
I(J A,J B)constexpr bo same=std::is_same_v<A,B>;
I(bo b,J A,J B)uu ift=std::conditional_t<b,A,B>;
uu is=std::istream;uu os=std::ostream;
uu dd=long double;uu ll=long long;
uu ull=unsigned long long;
uu lll=__int128_t;uu ulll=__uint128_t;
uu str=std::string;
ll oo=3e18,i998244353=998244353,i1000000007=1000000007;
array<ll,8>dx{-1,0,1,0,-1,1,1,-1},dy{0,-1,0,1,-1,-1,1,1};
dd ee=1e-12,pi=acosl(-1);
str sp=" ",nc="",nl="\n";
I(J T,J U=T)uu map=std::map<T,U>;
I(J T,J U=T)uu umap=std::unordered_map<T,U>;
I(J T)uu qmax=std::priority_queue<T>;
I(J T)uu qmin=std::priority_queue<T,std::vector<T>,std::greater<>>;
I(J T,ll n)au TP(){ifc(n)rr tuple_cat(tuple(T()),TP<T,n-1>());else rr tuple();}
I(J T,ll n)uu tp=decltype(TP<T,n>());I(ll n)uu tpl=tp<ll,n>;
tpl<3>rng(bo s,ll a,ll b=oo,ll c=1){if(b==oo)b=a,a=0;rr{a,b-s,c};}

ll rnd(ll l,ll r=oo){static ull a=76,b=53,c=20,d=41;ull t=a^(a<<11);a=b,b=c,c=d,d=(d^(d>>19))^(t^(t>>8));rr r==oo?d%l:d%(r-l)+l;}
bo odd(ll x){rr x&1;}bo eve(ll x){rr~x&1;}
ll pwm1(ll x){rr 1-2*(x&1);}ll pw2(ll n){rr 1LL<<n;}
I(J T)bo at(T x,ll i){rr x>>i&1;}
ll l2(ulll x){x|=1;ll r=0;wh(x)x>>=1,++r;rr r;}
ll l10(ulll x){x|=1;ll r=0;wh(x)x/=10,++r;rr r;}
I(J T,J U,J V)bo in(T l,U x,V r){rr l<=x&&x<r;}
I(J T)T flo(T x,T y){rr y<0?x=-x,y=-y:x>=0?x/y:(x+1)/y-1;}
I(J T)T cei(T x,T y){rr y<0?x=-x,y=-y:x<=0?x/y:(x-1)/y+1;}
I(J T)T sq(T a){rr a*a;}
I(J T)T zz(T x){rr x<0?-x:x;}
I(J T)ll len(cs T&a){rr a.size();}
I(J T)bo add(T&a,cs T&b){rr a+=b,1;}
I(J T,J U)bo amax(T&a,cs U&b){rr a<b?a=b,1:0;}
I(J T,J U)bo amin(T&a,cs U&b){rr a>b?a=b,1:0;}

struct edg{ll t,w;edg(){}edg(ll t,ll w=1):t(t),w(w){}};

I(J A,J B=A)struct cp{
  A a={};B b={};
  cp(){}
  cp(A a,B b):a(a),b(b){}
  cp(std::pair<A,B>p):a(p.first),b(p.second){}
  cp O-()cs{rr cp(-a,-b);}
  cp&O+=(cs cp&c){a+=c.a,b+=c.b;rr*this;}cp O+(cs cp&c)cs{rr cp{*this}+=c;}
  cp&O-=(cs cp&c){a-=c.a,b-=c.b;rr*this;}cp O-(cs cp&c)cs{rr cp{*this}-=c;}
  bo O<(cs cp&c)cs{rr a!=c.a?a<c.a:b<c.b;}
  bo O>(cs cp&c)cs{rr a!=c.a?a>c.a:b>c.b;}
  bo O==(cs cp&c)cs{rr a==c.a&&b==c.b;}
};uu cl=cp<ll>;
I(J A,J B=A,J C=A)struct tr{
  A a={};B b={};C c={};
  tr(){}
  tr(A a,B b,C c):a(a),b(b),c(c){}
  bo O<(cs tr&t)cs{rr a!=t.a?a<t.a:b!=t.b?b<t.b:c<t.c;}
  bo O>(cs tr&t)cs{rr a!=t.a?a>t.a:b!=t.b?b>t.b:c>t.c;}
};uu tl=tr<ll>;

I(J V)struct ve;
I(J V)constexpr bo isv=0;
I(J V)constexpr bo isv<ve<V>> =1;
I(J V)constexpr bo isv<std::vector<V>> =1;
I(J V)au pure_val(V){ifc(isv<V>)rr pure_val(J V::value_type());else rr V();}

I(J V)struct ve:std::vector<V>{
  uu std::vector<V>::vector;
  uu pure_type=decltype(pure_val(V()));
  ve(cs std::vector<V>&v={}){fe(v,e)this->eb(e);}

  au&O+=(cs ve&u){au&v=*this;fo(i,len(v))v[i]+=u[i];rr v;}
  au&O-=(cs ve&u){au&v=*this;fo(i,len(v))v[i]-=u[i];rr v;}
  au&O^=(cs ve&u){fe(u,e)this->eb(e);rr*this;}
  au&O+=(cs pure_type&c){au&v=*this;fe(v,e)e+=c;rr v;}
  au&O-=(cs pure_type&c){au&v=*this;fe(v,e)e-=c;rr v;}
  au O+(cs ve&u){rr ve(*this)+=u;}
  au O-(cs ve&u){rr ve(*this)-=u;}
  au O^(cs ve&u){rr ve(*this)^=u;}
  au O-(){ve r=*this;fe(r,e)e=-e;rr r;}
  au O+(cs pure_type&c){rr ve(*this)+=c;}au&O++(){rr*this+=1;}
  au O-(cs pure_type&c){rr ve(*this)-=c;}au&O--(){rr*this-=1;}

  au lower_bound(cs V&x){rr std::lower_bound(all(*this),x);}
  au upper_bound(cs V&x){rr std::upper_bound(all(*this),x);}
  ll arglb(cs V&x){rr lower_bound(x)-begin(*this);}
  ll argub(cs V&x){rr upper_bound(x)-begin(*this);}
  ll argmax(){rr std::max_element(all(*this))-begin(*this);}
  ll argmin(){rr std::min_element(all(*this))-begin(*this);}
  au ika_max(cs V&x){au p=this->upper_bound(x);rr p!=this->begin()?prev(p):this->end();}
  au ijo_min(cs V&x){rr this->lower_bound(x);}
  vo af(V e={}){this->ep(begin(*this),e);}
  vo df(){this->erase(begin(*this));}

  I(bo f(pure_type&,cs pure_type&))au scan(){
    cp<pure_type,bo>r;
    fe(*this,e){
      ifc(!isv<V>)r.b?f(r.a,e),r:r={e,1};
      ef(au t=e.template scan<f>();t.b)r.b?f(r.a,t.a),r:r=t;
    }
    rr r;
  }
  au sum(){rr scan<add>().a;}
  au max(){rr scan<amax>().a;}
  au min(){rr scan<amin>().a;}
  vo fill(pure_type x={}){fe(*this,e)ifc(isv<V>)e.fill(x);else e=x;}
  au zeta(){ve v=*this;ifc(isv<V>)fe(v,e)e=e.zeta();fo(i,len(v)-1)v[i+1]+=v[i];rr v;}
  au mobi(){ve v=*this;ifc(isv<V>)fe(v,e)e=e.mobi();of(i,len(v)-1)v[i+1]-=v[i];rr v;}

  au de(cs str&b="a"){
    ift<isv<V>,ve<str>,str>r;
    ifc(isv<V>)fe(*this,e)r.eb(e.de(b));
    else fe(*this,e)r+=len(b)==1?e+b[0]:0<=e&&e<len(b)?b[e]:'|';
    rr r;
  }
};

I(J T=ll,ll n,ll i=0)au vec(cs ll(&s)[n],T x={}){
  ifc(n==i+1)rr ve<T>(s[i],x);
  else{au X=vec<T,n,i+1>(s,x);rr ve<decltype(X)>(s[i],X);}
}

I(ll n,J...A)vo setsize(cs ll(&l)[n],A&...a){((a=vec(l,pure_val(a))),...);}

I(J T)uu V1=ve<T>;uu u1=V1<ll>;I(J T)uu V2=V1<V1<T>>;uu u2=V2<ll>;
uu cls=V1<cl>;uu tls=V1<tl>;uu strs=V1<str>;uu gra=V2<edg>;

I(J T)struct set:std::set<T>{
  set(cs V1<T>&a={}){fe(a,e)this->ep(e);}
  au ika_max(cs T&x){au p=this->upper_bound(x);rr p!=this->begin()?prev(p):this->end();}
  au ijo_min(cs T&x){rr this->lower_bound(x);}

  au between(cs T&l,cs T&r){au p=this->lower_bound(l),q=this->lower_bound(r);rr cp{p,q};}
  friend os&O<<(os&o,cs set&s){fe(s,e)o<<e<<(&e!=&rb(s)?sp:nc);rr o;}
};

I(J T)struct mset:std::multiset<T>{
  mset(cs V1<T>&a={}){fe(a,e)this->ep(e);}
  vo uerase(cs T&x){if(au p=this->find(x);p!=this->end())this->erase(p);}
  au ika_max(cs T&x){au p=this->upper_bound(x);rr p!=this->begin()?prev(p):this->end();}
  au ijo_min(cs T&x){rr this->lower_bound(x);}

  au between(cs T&l,cs T&r){au p=this->lower_bound(l),q=this->lower_bound(r);rr cp{p,q};}
  friend os&O<<(os&o,cs mset&s){fe(s,e)o<<e<<(&e!=&rb(s)?sp:nc);rr o;}
};

I(J T)struct uset:std::unordered_set<T>{
  uset(cs V1<T>&a={}){fe(a,e)this->ep(e);}
  friend os&O<<(os&o,cs uset&s){fe(s,e)o<<e<<(&e!=&rb(s)?sp:nc);rr o;}
};

I(J T)T pof(set<T>&s){T r=bg(s);s.erase(begin(s));rr r;}
I(J T)T pof(mset<T>&s){T r=bg(s);s.erase(begin(s));rr r;}
I(J T)T pob(set<T>&s){T r=rb(s);s.erase(--end(s));rr r;}
I(J T)T pob(mset<T>&s){T r=rb(s);s.erase(--end(s));rr r;}

I(J T)T&srt(T&a){sort(all(a));rr a;}
I(J T)T&rv(T&a){reverse(all(a));rr a;}
I(J T)T&rsr(T&a){rr rv(srt(a));}
I(J T)T&uq(T&a){srt(a).erase(unique(all(a)),end(a));rr a;}
I(J T)decltype(au)bg(T&a){rr*begin(a);}
I(J T)decltype(au)rb(T&a){rr*rbegin(a);}
I(J T)au pof(T&a){au r=bg(a);a.pop_front();rr r;}
I(J T)au pob(T&a){au r=rb(a);a.pop_back();rr r;}
I(J T)au pot(T&a){au r=a.top();a.pop();rr r;}

I(J...A)au max(cs A&...a){rr max(ilis<std::common_type_t<A...>>{a...});}
I(J...A)au min(cs A&...a){rr min(ilis<std::common_type_t<A...>>{a...});}

struct fio{fio(){cin.tie(0)->sync_with_stdio(0);
  cout<<std::fixed<<std::setprecision(15);std::cerr<<"ok"<<nl;}}fio;
os&O<<(os&o,cs ulll&x){rr(x<10?o:o<<x/10)<<ll(x%10);}
os&O<<(os&o,cs lll&x){rr o<<(x<0?"-":nc)<<ulll(zz(x));}
os&O<<(os&o,cs edg&e){rr o<<e.t<<sp<<e.w;}
I(J T)os&O<<(os&o,cs deque<T>&v){fe(v,e)o<<e<<sp;rr o;}
I(J T,J U)os&O<<(os&o,cs cp<T,U>&c){rr o<<c.a<<sp<<c.b;}
I(J T,J U)os&O<<(os&o,cs map<T,U>&m){fe(m,e)o<<cp(e)<<nl;rr o;}
I(J...A)os&O<<(os&o,cs tuple<A...>&t){apply([&](cs au&...a){ll i=0;(((o<<a<<(++i!=sizeof...(a)?sp:nc))),...);},t);rr o;}
I(J V)is&O>>(is&i,std::vector<V>&v){fe(v,e)i>>e;rr i;}
I(J V)os&O<<(os&o,cs std::vector<V>&v){
  str s=nl;
  ifc(!isv<V>)s=sp;else ifc(isv<J V::value_type>)s+=nl;
  fe(v,e)o<<e<<(&e!=&rb(v)?s:nc);
  rr o;
}
I(J...A)vo pp(cs A&...a){ll i=0;((cout<<a<<(++i!=sizeof...(a)?sp:nc)),...);cout<<nl;}
I(J...A)vo li(A&...a){(cin>>...>>a);}
I(J...A)vo vi(A&...a){fo(i,(len(a)&...))(cin>>...>>a[i]);}
vo Yes(bo y=1){pp(y?"Yes":"No");}vo No(){Yes(0);}

gra tog(cs u2&a){gra g;fe(a,e){g.eb();fe(e,v)rb(g).eb(v);}rr g;}
u2 tou(cs gra&g){u2 a;fe(g,e){a.eb();fe(e,v,w)rb(a).eb(v);}rr a;}
au gi(gra&g,ll m,bo y=0,bo f=0){UV(m,a,b,c);a-=!f,b-=!f;fo(i,m)g[a[i]].eb(b[i],c[i]),!y?g[b[i]].eb(a[i],c[i]),0:0;rr tuple{a,b,c};}
au gi(u2&g,ll m,bo y=0,bo f=0){UV(m,a,b);a-=!f,b-=!f;fo(i,m)g[a[i]].eb(b[i]),!y?g[b[i]].eb(a[i]):0;rr tuple{a,b};}
I(J G)au ti(G&g,bo y=0,bo f=0){rr gi(g,len(g)-1,y,f);}

u1 en(cs str&s,cs str&b="a"){u1 r;fe(s,e)r.eb(len(b)==1?e-b[0]:b.find_first_of(e));rr r;}
u1 sien(cs str&b="a"){ST(s);rr en(s,b);}
u2 en(cs strs&s,cs str&b="a"){u2 r;fe(s,e)r.eb(en(e,b));rr r;}
u2 sien(ll n,cs str&b="a"){u2 r;fo(n)r.eb(sien(b));rr r;}

I(J F)struct rec:F{rec(F&&f):F(std::forward<F>(f)){}I(J...A)decltype(au)O()(A&&...a)cs{rr F::O()(*this,std::forward<A>(a)...);}};
I(J...A)vo dec(A&...a){((--a),...);}
u1 it(ll n,ll x=0){u1 a;fo(i,n)a.eb(i+x);rr a;}
I(J...A)u1 zp(A&...a){u1 v=(a^...);uq(v);([&](u1&u){fe(u,e)e=v.arglb(e);}(a),...);rr v;}
I(J F,J...A)u1 vs(F f,A&...a){u1 o=it((len(a)&...));sort(all(o),f);([&](au&e){au c=e;fo(i,len(e))e[i]=c[o[i]];}(a),...);rr o;}
I(J F)dd bsd(F f,dd o,dd n){fo(log2(zz(o-n)/ee)+5)(f((o+n)/2)?o:n)=(o+n)/2;rr o;}
I(J F)ll bsl(F f,ll o,ll n){wh(zz(o-n)>1)(f((o+n)/2)?o:n)=(o+n)/2;rr o;}

ll sqr(ll x){ll r=sqrt(zz(x-ee));wh(r+1<=x/(r+1))++r;rr r;}
u1 divs(ll n){u1 r;fo(i,1,sqr(n)+1)if(n%i==0)r.eb(i),r.eb(n/i);rr uq(r);}
cls fact(ll n){umap<ll>m;fo(i,2,sqr(n)+1)wh(n%i==0)++m[i],n/=i;if(n>1)++m[n];cls r;fe(m,e)r.eb(e);rr srt(r);}
cls rle(cs u1&a){cls r;fe(a,e)len(r)&&e==rb(r).a?++rb(r).b:r.eb(e,1).b;rr r;}
cls rce(u1 a){rr rle(srt(a));}
lll pow(lll x,lll n,ll m=0){lll r=1;wh(n)n&1?r*=x:r,x*=x,m?r%=m,x%=m:r,n>>=1;rr r;}
int main(){ll T=1;fo(T)solve();}

I(J T)T fill(ll x){
  ifc(same<T,ll>)rr x;
  else ifc(same<T,cl>)rr T(x,x);
  else ifc(same<T,tl>)rr T(x,x,x);
  else ifc(same<T,array<ll,T().size()>>){T r;fe(r,e)e=x;rr r;}
  else ifc(same<T,tpl<std::tuple_size_v<T>>>){
    T r;apply([&](au&...a){((a=x),...);},r);rr r;
  }else assert(0);
}
I(J T)T moo(){rr fill<T>(-oo);}
I(J T)T poo(){rr fill<T>(oo);}
I(J T)T uni(){rr{};}

I(J T)T op_max(T a,T b){rr max(a,b);}
I(J T)T op_min(T a,T b){rr min(a,b);}
I(J T)T op_sum(T a,T b){rr a+b;}
I(J T)T op_mul(T a,T b){rr a*b;}

I(J T)uu seg_max=segtree<T,op_max<T>,moo<T>>;
I(J T)uu seg_min=segtree<T,op_min<T>,poo<T>>;
I(J T)uu seg_sum=segtree<T,op_sum<T>,uni<T>>;

I(J S)ll kth_on_segtree(seg_sum<S>&s,ll k,ll l=0){
  rr s.max_right(l,[&](S v){rr v<k;});
}

I(J S)ll ika_leftmost(seg_min<S>&s,ll x,ll l){
  rr s.max_right(l,[&](S v){rr v>x;});
}

I(J S)ll ika_righmost(seg_min<S>&s,ll x,ll r){
  rr s.min_left(r,[&](S v){rr v>x;})-1;
}

I(J S)ll ijo_leftmost(seg_max<S>&s,ll x,ll l){
  rr s.max_right(l,[&](S v){rr v<x;});
}

I(J S)ll ijo_righmost(seg_max<S>&s,ll x,ll r){
  rr s.min_left(r,[&](S v){rr v<x;})-1;
}

cp<u1>rot45(cs u1&x,cs u1&y){
  ll n=len(x);
  u1 u(n),v(n);
  fo(i,n){
    u[i]=x[i]-y[i];
    v[i]=x[i]+y[i];
  }
  rr cp{u,v};
}

bo issquare(cs u1&x,cs u1&y){
  ll n=4;
  u1 v;
  fo(i,n)fo(j,i+1,n)v.eb(sq(x[i]-x[j])+sq(y[i]-y[j]));
  srt(v);
  ll a=bg(v);
  if(a==0)rr 0;
  rr v[0]==a&&v[3]==a&&v[4]==a*2&&v[5]==a*2;
}
bo iscube(cs u1&x,cs u1&y,cs u1&z){
  ll n=8;
  u1 v;
  fo(i,n)fo(j,i+1,n)v.eb(sq(x[i]-x[j])+sq(y[i]-y[j])+sq(z[i]-z[j]));
  srt(v);
  ll a=bg(v);
  if(a==0)rr 0;
  rr v[0]==a&&v[11]==a&&v[12]==a*2&&v[23]==a*2&&v[24]==a*3&&v[27]==a*3;
}
vo solve(){
  LL(N);
  UV(N,t,x,v);
  t.eb(),x.eb(),v.eb();

  u1 a=x+t,b=-x+t;

  ll M=len(zp(a,b));
  seg_max<ll>s(M);
  s.set(a[N],0);

  u2 g(M);
  fo(i,N)g[a[i]].eb(i);

  u1 res(N);
  fo(k,a[N],M){
    fe(g[k],i)res[i]=s.prod(0,b[i]+1)+v[i];
    fe(g[k],i)s.set(b[i],max(s.get(b[i]),res[i]));
  }
  pp(res.max());
}